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SAReasoning-400000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
What is 104% of 25?	Compute the percent value (integer-safe).	Compute 104/100 × 25.	26
If each item costs 9 dollars and the total cost is 261, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Simplify: 5x + -8x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 1y
Simplify: 3x + 6x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	9x
Solve for x: -7(x + -10) = 154	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
What is 112% of 0?	Compute the percent value (integer-safe).	Compute 112/100 × 0.	0
What is 42% of 500?	Compute the percent value (integer-safe).	Compute 42/100 × 500.	210
If each item costs -8 dollars and the total cost is -80, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	10
Simplify: 5x + 8x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	13x - 7y
Solve for x: 2(x + 3) = -22	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
If each item costs 11 dollars and the total cost is 176, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	16
If each item costs 7 dollars and the total cost is 203, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
What is -22% of 400?	Compute the percent value (integer-safe).	Compute -22/100 × 400.	-88
Solve for x: 4x + 24 = -4	Solve the linear equation.	Subtract b from both sides, then divide by a.	-7
Simplify: -2x + -1x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 6y
If each item costs -9 dollars and the total cost is 99, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-11
If each item costs 11 dollars and the total cost is 319, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Simplify: -5x + 4x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x + 8y
Solve: \|-7x + -14\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 4x + -3 > -67	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -16
Simplify: -3x + 4x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x - 5y
Simplify: 0x + 1x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 3y
Solve for x: -1x + -4 = -22	Solve the linear equation.	Subtract b from both sides, then divide by a.	18
Solve: 2x + -8 < -38	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -15
Simplify: -4x + 6x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 3y
Solve for x: 4(x + -13) = -44	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
Solve: -1x + -4 < -2	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -2
Solve for x: -8(x + 10) = -128	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
Solve: \|-5x + -9\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-6x + -5\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 3x + 4x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	7x - 4y
What is 63% of 500?	Compute the percent value (integer-safe).	Compute 63/100 × 500.	315
Simplify: -2x + -1x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 6y
Solve for x: -8x + -18 = -98	Solve the linear equation.	Subtract b from both sides, then divide by a.	10
What is -34% of 100?	Compute the percent value (integer-safe).	Compute -34/100 × 100.	-34
Solve: \|-1x + 10\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	6 ≤ x ≤ 14
Solve: \|5x + 3\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4
If each item costs 5 dollars and the total cost is 15, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	3
Solve: -3x + -9 ≥ -57	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 16
Solve: 10x + 7 > 127	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 12
Solve for x: -5x + 30 = 85	Solve the linear equation.	Subtract b from both sides, then divide by a.	-11
If each item costs 7 dollars and the total cost is -28, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-4
Solve for x: -7(x + 2) = -49	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
If each item costs 17 dollars and the total cost is 493, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Solve: \|8x + 5\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 52% of 125?	Compute the percent value (integer-safe).	Compute 52/100 × 125.	65
What is 140% of 50?	Compute the percent value (integer-safe).	Compute 140/100 × 50.	70
What is 26% of 200?	Compute the percent value (integer-safe).	Compute 26/100 × 200.	52
Solve: \|-6x + -10\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 1
Simplify: 6x + -3x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x + 8y
Solve for x: 5x + 25 = 5	Solve the linear equation.	Subtract b from both sides, then divide by a.	-4
Solve: \|-7x + -9\| = 13	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 15, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	15
Solve for x: -3x + -11 = -38	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve: 8x + 8 ≥ 144	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 17
Solve for x: 7x + -6 = -34	Solve the linear equation.	Subtract b from both sides, then divide by a.	-4
Solve: 7x + -10 > -10	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 0
Solve: \|-1x + 12\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	4, 20
Solve for x: -7(x + 1) = 70	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Solve for x: 4x + 29 = 85	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
Solve for x: 6(x + 11) = 102	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
If each item costs 8 dollars and the total cost is -16, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-2
Simplify: 5x + 0x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x - 5y
If each item costs -8 dollars and the total cost is 128, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
Solve: \|8x + 18\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 0
Solve for x: 5x + -8 = -53	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
If each item costs 6 dollars and the total cost is -36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve: -9x + -9 < 171	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -20
Solve: \|5x + 1\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 3
Simplify: -5x + -7x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-12x + 3y
Solve for x: 4(x + -3) = -60	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Solve for x: 4x + 21 = -15	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
Simplify: -1x + -1x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 2y
If each item costs 2 dollars and the total cost is -26, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-13
Solve: \|-8x + -6\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve: -9x + 12 < -105	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 13
Solve: \|-8x + 3\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 1
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.	22
Solve for x: -7x + 0 = -98	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
Simplify: -4x + 5x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 8y
Solve for x: 5(x + -12) = -100	Solve a two-step equation.	Divide both sides by a, then subtract b.	-8
Solve for x: -4(x + 3) = 16	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
Solve: \|-7x + 9\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 1
Solve: 10x + -11 < 9	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 2
Simplify: 2x + -5x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 1y
Solve: \|-6x + -10\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -1
Solve for x: 8x + 4 = -108	Solve the linear equation.	Subtract b from both sides, then divide by a.	-14
What is -6% of 400?	Compute the percent value (integer-safe).	Compute -6/100 × 400.	-24
Solve: -1x + -16 ≤ -2	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -14
Solve: 1x + 11 ≥ 16	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 5
What is 33% of 300?	Compute the percent value (integer-safe).	Compute 33/100 × 300.	99
Solve: \|-5x + 12\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
Solve for x: -4x + -18 = -26	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
Solve for x: 1(x + 13) = 7	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
If each item costs 5 dollars and the total cost is -40, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
Solve: \|-8x + -11\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 15 dollars and the total cost is 135, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	9
Solve: \|-5x + 0\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-2, 2
Solve: \|-3x + 19\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	3 ≤ x ≤ 10
Simplify: -5x + 3x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 7y