question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
If each item costs 18 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
Solve: -10x + -5 ≤ 175
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -18
What is 286 - -43?
Subtract the second number from the first.
Subtract -43 from 286.
329
What is 137 + -160?
Add the two numbers.
Add 137 and -160.
-23
Solve: -4x + -13 ≤ -49
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 9
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.
14
Solve for x: 12x + -6 = 150
Solve the linear equation.
Subtract b from both sides, then divide by a.
13
What is -182 ÷ 26?
Divide evenly.
Divide -182 by 26.
-7
Simplify -120/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
What is 53 × -33?
Multiply the numbers.
Multiply 53 by -33.
-1749
Simplify 0/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is 28 × 50?
Multiply the numbers.
Multiply 28 by 50.
1400
Solve for x: 10x + -5 = -195
Solve the linear equation.
Subtract b from both sides, then divide by a.
-19
If each item costs 3 dollars and the total cost is -24, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-8
What is 89 + -42?
Add the two numbers.
Add 89 and -42.
47
What is 22 - -112?
Subtract the second number from the first.
Subtract -112 from 22.
134
Solve for x: -2(x + 14) = -4
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
Solve for x: 5(x + -4) = 30
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
What is 4^4?
Evaluate the integer exponent.
Multiply 4 by itself 4 times (0th power = 1).
256
If each item costs -7 dollars and the total cost is 98, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-14
Simplify 52/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
If each item costs -6 dollars and the total cost is -6, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
1
Solve: 5x + 2 > -8
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -2
What is -3 × -51?
Multiply the numbers.
Multiply -3 by -51.
153
Solve: 9x + 15 < 6
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -1
What is 4^2?
Evaluate the integer exponent.
Multiply 4 by itself 2 times (0th power = 1).
16
What is -128 ÷ -16?
Divide evenly.
Divide -128 by -16.
8
What is -8^4?
Evaluate the integer exponent.
Multiply -8 by itself 4 times (0th power = 1).
4096
What is 101 - 96?
Subtract the second number from the first.
Subtract 96 from 101.
5
What is 6^2?
Evaluate the integer exponent.
Multiply 6 by itself 2 times (0th power = 1).
36
Simplify 63/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
7
Solve for x: 10x + 5 = -175
Solve the linear equation.
Subtract b from both sides, then divide by a.
-18
Simplify -70/10
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-7
What is 186 - -19?
Subtract the second number from the first.
Subtract -19 from 186.
205
What is 64 - -97?
Subtract the second number from the first.
Subtract -97 from 64.
161
What is -135 + -28?
Add the two numbers.
Add -135 and -28.
-163
What is 6^0?
Evaluate the integer exponent.
Multiply 6 by itself 0 times (0th power = 1).
1
Solve for x: -11x + -7 = -95
Solve the linear equation.
Subtract b from both sides, then divide by a.
8
Solve: -5x + -18 ≥ 57
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -15
What is 3^3?
Evaluate the integer exponent.
Multiply 3 by itself 3 times (0th power = 1).
27
What is -84 ÷ -6?
Divide evenly.
Divide -84 by -6.
14
If each item costs 2 dollars and the total cost is 48, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
What is 11 - -173?
Subtract the second number from the first.
Subtract -173 from 11.
184
What is -3^5?
Evaluate the integer exponent.
Multiply -3 by itself 5 times (0th power = 1).
-243
Solve for x: 8(x + 14) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
What is -21 × -15?
Multiply the numbers.
Multiply -21 by -15.
315
Solve: -6x + -20 < 94
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -19
What is 29 × 17?
Multiply the numbers.
Multiply 29 by 17.
493
What is 225 + 218?
Add the two numbers.
Add 225 and 218.
443
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
What is 256 ÷ -16?
Divide evenly.
Divide 256 by -16.
-16
Solve for x: -5(x + 5) = -5
Solve a two-step equation.
Divide both sides by a, then subtract b.
-4
Solve for x: 6(x + 11) = 78
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
What is 17 - 272?
Subtract the second number from the first.
Subtract 272 from 17.
-255
What is 7^0?
Evaluate the integer exponent.
Multiply 7 by itself 0 times (0th power = 1).
1
If each item costs 19 dollars and the total cost is 361, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
What is -7^2?
Evaluate the integer exponent.
Multiply -7 by itself 2 times (0th power = 1).
49
What is -2^4?
Evaluate the integer exponent.
Multiply -2 by itself 4 times (0th power = 1).
16
Solve for x: 8(x + -1) = 72
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
What is 283 - -91?
Subtract the second number from the first.
Subtract -91 from 283.
374
What is 68 ÷ 4?
Divide evenly.
Divide 68 by 4.
17
Solve for x: -4x + 27 = 11
Solve the linear equation.
Subtract b from both sides, then divide by a.
4
Solve for x: 1x + 15 = 5
Solve the linear equation.
Subtract b from both sides, then divide by a.
-10
If each item costs 18 dollars and the total cost is -306, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-17
Solve for x: 6(x + 7) = 54
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
Solve for x: 1x + 16 = 16
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
Solve for x: 7(x + 6) = 56
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
What is -23 - 280?
Subtract the second number from the first.
Subtract 280 from -23.
-303
Simplify 144/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
9
Solve: -5x + 8 ≤ -47
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 11
What is 212 - 110?
Subtract the second number from the first.
Subtract 110 from 212.
102
What is 2 × -2?
Multiply the numbers.
Multiply 2 by -2.
-4
What is -279 + -243?
Add the two numbers.
Add -279 and -243.
-522
Simplify 0/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is -420 ÷ 30?
Divide evenly.
Divide -420 by 30.
-14
What is -48 × -6?
Multiply the numbers.
Multiply -48 by -6.
288
What is 20 × 25?
Multiply the numbers.
Multiply 20 by 25.
500
What is -8^2?
Evaluate the integer exponent.
Multiply -8 by itself 2 times (0th power = 1).
64
What is 3^0?
Evaluate the integer exponent.
Multiply 3 by itself 0 times (0th power = 1).
1
What is -41 × 22?
Multiply the numbers.
Multiply -41 by 22.
-902
Solve for x: 2(x + -8) = -40
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
What is -36 ÷ -4?
Divide evenly.
Divide -36 by -4.
9
Solve: 5x + -15 ≥ 45
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 12
What is 17 × 12?
Multiply the numbers.
Multiply 17 by 12.
204
What is -130 - 191?
Subtract the second number from the first.
Subtract 191 from -130.
-321
Solve for x: 7(x + 3) = -35
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
What is 80 + -45?
Add the two numbers.
Add 80 and -45.
35
What is 98 - -241?
Subtract the second number from the first.
Subtract -241 from 98.
339
Solve for x: 4(x + -2) = 32
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
What is 16 - -96?
Subtract the second number from the first.
Subtract -96 from 16.
112
What is -300 - -295?
Subtract the second number from the first.
Subtract -295 from -300.
-5
What is -7^2?
Evaluate the integer exponent.
Multiply -7 by itself 2 times (0th power = 1).
49
What is -248 + 122?
Add the two numbers.
Add -248 and 122.
-126
Solve for x: -3(x + 15) = -60
Solve a two-step equation.
Divide both sides by a, then subtract b.
5
If each item costs -10 dollars and the total cost is 120, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-12
What is -183 + -150?
Add the two numbers.
Add -183 and -150.
-333
What is -34 + 179?
Add the two numbers.
Add -34 and 179.
145
What is 3^5?
Evaluate the integer exponent.
Multiply 3 by itself 5 times (0th power = 1).
243
What is -42 ÷ 3?
Divide evenly.
Divide -42 by 3.
-14
What is -242 + 33?
Add the two numbers.
Add -242 and 33.
-209