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SAReasoning-15000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|2x + 6\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	6, -12
Simplify: -2x + 3x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 6y
Simplify: 8x + 5x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	13x + 5y
Solve: -3x + 14 < 62	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -16
What is 98% of 250?	Compute the percent value (integer-safe).	Compute 98/100 × 250.	245
Solve for x: 1(x + 2) = 6	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Solve: \|4x + -7\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	3
Solve: 9x + 1 ≤ 28	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 3
Solve for x: -2(x + 7) = 4	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
Solve for x: 8x + -26 = -26	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
What is 25% of 4?	Compute the percent value (integer-safe).	Compute 25/100 × 4.	1
Simplify: -2x + 3x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x - 5y
Solve for x: 6(x + 0) = -90	Solve a two-step equation.	Divide both sides by a, then subtract b.	-15
Solve: \|3x + -12\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -1x + 4x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x + 3y
Solve for x: 12x + -29 = -17	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
Solve: \|-6x + 0\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-4x + -11\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ -1
Solve: \|-4x + -2\| = 15	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-7x + -8\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ -1
If each item costs 16 dollars and the total cost is 320, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	20
Solve for x: -6(x + -1) = 72	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Solve for x: -1(x + -4) = -9	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Solve: \|7x + 8\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -8x + -10 ≥ 94	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -13
What is 98% of 300?	Compute the percent value (integer-safe).	Compute 98/100 × 300.	294
If each item costs 17 dollars and the total cost is 476, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	28
Solve: \|-2x + -16\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-9 ≤ x ≤ -7
Solve: \|-2x + -8\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 5x + -5 = 65	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
Solve: -9x + 7 ≤ 52	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -5
Solve: \|-8x + -15\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
Solve for x: -8(x + -8) = 56	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
Simplify: 1x + 3x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x - 6y
Solve for x: -8x + -26 = 118	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve: -8x + -4 < 4	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -1
Solve for x: -7(x + -11) = 84	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve: \|6x + -13\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	0
Solve: \|7x + 20\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -2
Solve: -1x + 16 ≥ 32	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -16
Solve for x: 10x + -22 = -92	Solve the linear equation.	Subtract b from both sides, then divide by a.	-7
Solve for x: -6x + 11 = 29	Solve the linear equation.	Subtract b from both sides, then divide by a.	-3
Solve: \|8x + -7\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs -1 dollars and the total cost is 1, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-1
Solve: -9x + 6 ≤ 132	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -14
Solve for x: -7(x + 10) = -154	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve for x: 1x + -30 = -32	Solve the linear equation.	Subtract b from both sides, then divide by a.	-2
Solve for x: 2(x + -12) = -54	Solve a two-step equation.	Divide both sides by a, then subtract b.	-15
If each item costs -3 dollars and the total cost is 39, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-13
What is 43% of 500?	Compute the percent value (integer-safe).	Compute 43/100 × 500.	215
Solve: \|2x + -12\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	6 ≤ x ≤ 6
Solve: \|-4x + -12\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ -2
What is 58% of 350?	Compute the percent value (integer-safe).	Compute 58/100 × 350.	203
Solve: 6x + 4 < -86	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -15
Solve: \|7x + 11\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 0
Solve: \|7x + 3\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
If each item costs 5 dollars and the total cost is 60, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	12
Solve: \|-6x + -12\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -1
Solve for x: -1(x + 4) = -6	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
Solve: \|-3x + -18\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-8 ≤ x ≤ -4
Solve: \|-1x + -18\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-26 ≤ x ≤ -10
What is -21% of 900?	Compute the percent value (integer-safe).	Compute -21/100 × 900.	-189
Solve: \|3x + -5\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	7
Simplify: 8x + -6x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 6y
If each item costs -7 dollars and the total cost is 21, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
Solve for x: 7x + 12 = 89	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
Simplify: 1x + -7x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x - 1y
Solve for x: 8(x + 10) = 48	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
What is 80% of 25?	Compute the percent value (integer-safe).	Compute 80/100 × 25.	20
If each item costs -7 dollars and the total cost is -112, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	16
What is 11% of 1000?	Compute the percent value (integer-safe).	Compute 11/100 × 1000.	110
Simplify: -4x + -7x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x + 3y
Solve: \|2x + 4\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	1, -5
If each item costs -5 dollars and the total cost is -85, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
Solve: \|-6x + 16\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 4
Solve: \|-8x + 15\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 0 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	13
Simplify: 6x + -8x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 4y
Solve for x: 9x + -26 = 55	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
What is 0% of 7?	Compute the percent value (integer-safe).	Compute 0/100 × 7.	0
Solve: \|-3x + -14\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
What is 124% of 250?	Compute the percent value (integer-safe).	Compute 124/100 × 250.	310
What is 134% of 250?	Compute the percent value (integer-safe).	Compute 134/100 × 250.	335
If each item costs 0 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	23
Solve: \|2x + 14\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|6x + 9\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 0
Solve: -7x + -18 < 66	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -12
Solve: \|-4x + -20\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-7 ≤ x ≤ -3
Solve for x: -3x + 1 = -56	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
Solve for x: -3(x + -6) = 54	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Simplify: -5x + 6x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 3y
Solve: \|-8x + -3\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 0
Solve for x: 6x + -3 = -9	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
Simplify: 7x + -6x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 8y
Simplify: 0x + 0x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4y
Simplify: -4x + 1x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 1y
Solve: \|-7x + -4\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 2
Simplify: 7x + -6x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x - 5y
Solve for x: 5x + -1 = -66	Solve the linear equation.	Subtract b from both sides, then divide by a.	-13
Solve: \|-8x + -6\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 0