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SAReasoning-1000000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
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.	18
Solve: -2x + 20 ≤ 4	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 8
Solve: 7x + -4 < -4	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 0
Solve for x: 2x + -28 = -46	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
Solve for x: -2(x + 15) = -2	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
Simplify: -1x + -6x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x + 8y
Solve: 9x + 9 > 63	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 6
Solve: \|2x + -15\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 15
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: -12x + -23 = 193	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve: \|4x + 4\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 1
Solve: \|-5x + 2\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	4
Solve: \|-1x + -1\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 0
Simplify: -7x + 3x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x - 5y
Solve for x: 4(x + -3) = 44	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
Solve: \|-6x + -5\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 1
Solve for x: 6(x + -6) = 24	Solve a two-step equation.	Divide both sides by a, then subtract b.	10
Solve: \|4x + 15\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 7 dollars and the total cost is 14, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	2
Solve: \|2x + 15\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -2x + 4x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 8y
Solve: \|4x + -6\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 6 dollars and the total cost is -60, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-10
Solve: 8x + 10 ≤ -62	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -9
Solve for x: -8(x + 6) = 32	Solve a two-step equation.	Divide both sides by a, then subtract b.	-10
Solve: \|1x + 14\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-14
Solve: 10x + -15 ≤ -25	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -1
If each item costs 13 dollars and the total cost is -247, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-19
What is 63% of 600?	Compute the percent value (integer-safe).	Compute 63/100 × 600.	378
Solve: \|1x + 15\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-6, -24
If each item costs 15 dollars and the total cost is -105, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-7
Solve: \|-3x + 11\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	9
What is -23% of 400?	Compute the percent value (integer-safe).	Compute -23/100 × 400.	-92
Solve: \|-8x + 16\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
Solve for x: -6(x + 2) = 78	Solve a two-step equation.	Divide both sides by a, then subtract b.	-15
Solve: \|-8x + -14\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 6 dollars and the total cost is -90, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-15
Simplify: 5x + 8x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	13x - 8y
Solve: \|2x + -9\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 8
If each item costs -4 dollars and the total cost is -8, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	2
Solve: -2x + 4 > -12	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 8
Simplify: -6x + 3x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 7y
If each item costs -3 dollars and the total cost is -9, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	3
Solve for x: -7(x + 2) = -70	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
What is 142% of 250?	Compute the percent value (integer-safe).	Compute 142/100 × 250.	355
Solve: -9x + 0 < -153	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 17
Simplify: -6x + -8x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-14x - 4y
Solve for x: -7(x + 15) = -14	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
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: 2x + 13 ≤ 49	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 18
Solve: 10x + 13 ≥ -147	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -16
Solve for x: 9x + 27 = 45	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
Simplify: -3x + 7x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x + 7y
Solve: \|-6x + -20\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ -1
Solve: \|2x + 0\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ 6
What is -41% of 800?	Compute the percent value (integer-safe).	Compute -41/100 × 800.	-328
Solve: \|6x + -8\| = 15	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -3x + 0 ≥ -15	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 5
Solve for x: 2(x + 6) = 22	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve for x: -1(x + -7) = 19	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Solve for x: -1x + 21 = 16	Solve the linear equation.	Subtract b from both sides, then divide by a.	5
Solve: 2x + -11 > 21	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 16
Solve: \|-2x + 8\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is -21% of 300?	Compute the percent value (integer-safe).	Compute -21/100 × 300.	-63
Solve: \|1x + 18\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-35 ≤ x ≤ -1
Solve: 8x + 16 ≥ -112	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -16
What is 39% of 700?	Compute the percent value (integer-safe).	Compute 39/100 × 700.	273
Solve: \|-1x + 3\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 5
Solve: \|-1x + -19\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-21 ≤ x ≤ -17
Solve: 8x + 4 ≥ 76	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 9
Solve: \|2x + 11\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-3x + -12\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-8, 0
Solve for x: 2x + 17 = -13	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
Simplify: 5x + -2x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 6y
Solve: \|7x + -15\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
Solve: \|7x + -15\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 3
Solve: \|1x + -9\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	28, -10
What is -10% of 70?	Compute the percent value (integer-safe).	Compute -10/100 × 70.	-7
If each item costs 11 dollars and the total cost is 154, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	14
Solve for x: -10x + 12 = -158	Solve the linear equation.	Subtract b from both sides, then divide by a.	17
Solve: 9x + 2 ≤ -160	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -18
Solve for x: 4x + -16 = -60	Solve the linear equation.	Subtract b from both sides, then divide by a.	-11
Solve: \|4x + -2\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 2
Solve for x: 4(x + -4) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Solve for x: -2x + -26 = -30	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
If each item costs 10 dollars and the total cost is -50, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-5
Simplify: -3x + -7x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-10x - 5y
Solve for x: 7(x + 2) = -49	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
If each item costs 2 dollars and the total cost is -18, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
Solve for x: 1x + 29 = 48	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
Solve: -8x + 6 ≥ 38	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -4
Solve: -2x + -4 ≤ 36	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -20
What is -19% of 400?	Compute the percent value (integer-safe).	Compute -19/100 × 400.	-76
What is -32% of 175?	Compute the percent value (integer-safe).	Compute -32/100 × 175.	-56
Solve for x: -6x + 14 = -4	Solve the linear equation.	Subtract b from both sides, then divide by a.	3
What is 33% of 500?	Compute the percent value (integer-safe).	Compute 33/100 × 500.	165
If each item costs 4 dollars and the total cost is 76, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	19
Solve for x: -4(x + 8) = -20	Solve a two-step equation.	Divide both sides by a, then subtract b.	-3
Solve: \|-6x + -12\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-5, 1
What is -5% of 100?	Compute the percent value (integer-safe).	Compute -5/100 × 100.	-5