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SAReasoning-3500000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve for x: -6(x + -8) = 54	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
Solve for x: -5x + -15 = 75	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Simplify: -2x + 2x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5y
If each item costs 6 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	0
Simplify: 2x + -8x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x - 4y
Solve: \|-1x + 17\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	16 ≤ x ≤ 18
Solve for x: 6(x + -4) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
What is 148% of 25?	Compute the percent value (integer-safe).	Compute 148/100 × 25.	37
Solve: \|3x + -18\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	3 ≤ x ≤ 9
Solve: \|-2x + 9\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|6x + 18\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -3
What is 109% of 800?	Compute the percent value (integer-safe).	Compute 109/100 × 800.	872
What is -28% of 125?	Compute the percent value (integer-safe).	Compute -28/100 × 125.	-35
Solve for x: -3(x + 15) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	-15
What is 87% of 200?	Compute the percent value (integer-safe).	Compute 87/100 × 200.	174
Solve: \|8x + 3\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 2
Solve: \|7x + -8\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 3
Solve: -9x + 6 ≤ -93	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 11
Solve: \|1x + 8\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-11 ≤ x ≤ -5
Simplify: 2x + -2x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5y
Simplify: -8x + -2x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-10x + 4y
Solve: \|5x + -7\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 3
If each item costs 8 dollars and the total cost is -136, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Solve: 1x + -13 > 1	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 14
Solve: \|7x + 15\| ≤ 15	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 0
If each item costs -3 dollars and the total cost is -87, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Solve for x: -10x + 13 = 23	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
Solve: \|-4x + 8\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
Simplify: 5x + -8x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 3y
Solve for x: -2(x + 9) = 6	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Solve: \|-6x + 0\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 7(x + 1) = -91	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
What is 93% of 1000?	Compute the percent value (integer-safe).	Compute 93/100 × 1000.	930
Solve: -2x + 18 < 58	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -20
Simplify: 1x + -8x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x - 4y
Solve: \|-3x + -4\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4
Solve for x: 10x + 30 = 80	Solve the linear equation.	Subtract b from both sides, then divide by a.	5
Solve for x: 5(x + 7) = 70	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
Simplify: -5x + -5x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-10x + 2y
Solve: \|-7x + -8\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-2
If each item costs 9 dollars and the total cost is 198, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	22
Solve: -6x + 11 ≥ 29	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -3
Solve for x: 1(x + 3) = -7	Solve a two-step equation.	Divide both sides by a, then subtract b.	-10
Solve for x: 4x + -14 = 30	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
What is -33% of 100?	Compute the percent value (integer-safe).	Compute -33/100 × 100.	-33
Simplify: 7x + -8x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x + 1y
Solve for x: -12x + -27 = -15	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
Solve for x: 2x + 28 = -8	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve for x: 4x + -23 = -83	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
Simplify: 8x + 4x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	12x + 2y
Solve: 1x + 3 ≥ 11	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 8
If each item costs 4 dollars and the total cost is 116, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Solve for x: -5(x + 2) = -35	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve for x: -6(x + 13) = 6	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
Solve: \|-8x + -3\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-5x + 1\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
Solve for x: -3(x + -2) = -27	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
If each item costs -1 dollars and the total cost is 9, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
Solve: \|-8x + 10\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 2
Simplify: 8x + -3x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x
Simplify: 5x + 1x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 6y
If each item costs 18 dollars and the total cost is -180, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-10
Simplify: -2x + 4x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x
Solve: -1x + 20 > 5	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 15
Solve for x: 1(x + 2) = 9	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
Solve: \|-3x + 2\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 3
What is 63% of 700?	Compute the percent value (integer-safe).	Compute 63/100 × 700.	441
Solve for x: -5(x + 14) = -145	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
Solve: 6x + 20 ≥ 104	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 14
Solve: -9x + -11 > -146	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 15
If each item costs 17 dollars and the total cost is 238, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	14
Solve: -8x + -17 ≤ 71	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -11
Solve: \|1x + -3\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	21, -15
Solve for x: 8x + 0 = 88	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
Solve for x: -4(x + 5) = -12	Solve a two-step equation.	Divide both sides by a, then subtract b.	-2
Solve for x: 8x + 13 = -139	Solve the linear equation.	Subtract b from both sides, then divide by a.	-19
Solve for x: -9x + 25 = 196	Solve the linear equation.	Subtract b from both sides, then divide by a.	-19
Solve: 6x + -19 > -127	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -18
Solve for x: 12x + -11 = -71	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
If each item costs 18 dollars and the total cost is 126, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	7
Solve: -4x + 7 ≥ -21	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 7
Solve for x: -6(x + 10) = -150	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
If each item costs 8 dollars and the total cost is 240, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	30
Solve: \|7x + 8\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 1
What is 57% of 800?	Compute the percent value (integer-safe).	Compute 57/100 × 800.	456
Solve: \|-2x + -9\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-13, 4
Simplify: -5x + 3x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x + 4y
Solve: \|-4x + -8\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 48% of 125?	Compute the percent value (integer-safe).	Compute 48/100 × 125.	60
Solve: \|-7x + 16\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 3
Solve: \|-3x + -2\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 1
Solve for x: 5x + 15 = 95	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
Solve for x: 5(x + -10) = -40	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
Solve: \|7x + 18\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve for x: 8x + 19 = 139	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
Solve: \|3x + -11\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 7
If each item costs 10 dollars and the total cost is -70, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-7
Solve: -3x + -20 < -53	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 11
Solve: -3x + 14 < 35	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -7
What is 128% of 150?	Compute the percent value (integer-safe).	Compute 128/100 × 150.	192