question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
What is -6^3?
Evaluate the integer exponent.
Multiply -6 by itself 3 times (0th power = 1).
-216
What is 41 × 4?
Multiply the numbers.
Multiply 41 by 4.
164
Simplify -126/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
Solve for x: 6(x + 3) = 24
Solve a two-step equation.
Divide both sides by a, then subtract b.
1
If each item costs 7 dollars and the total cost is 70, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
10
Simplify 120/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
Simplify -30/5
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-6
Solve: 3x + -11 ≤ -2
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 3
What is 7 ÷ -7?
Divide evenly.
Divide 7 by -7.
-1
What is 152 ÷ -8?
Divide evenly.
Divide 152 by -8.
-19
Simplify 66/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
Solve for x: 10x + 20 = 120
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
Solve for x: -1(x + 5) = 8
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
Solve: 8x + 4 ≥ 116
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 14
What is -40 × 35?
Multiply the numbers.
Multiply -40 by 35.
-1400
Solve: 9x + 16 ≤ 7
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -1
Solve for x: 10x + 17 = -23
Solve the linear equation.
Subtract b from both sides, then divide by a.
-4
Simplify 0/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
Solve: -9x + 15 ≤ -102
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 13
What is 37 × -35?
Multiply the numbers.
Multiply 37 by -35.
-1295
What is -153 ÷ 9?
Divide evenly.
Divide -153 by 9.
-17
What is -29 - -289?
Subtract the second number from the first.
Subtract -289 from -29.
260
Solve for x: 10x + 18 = -182
Solve the linear equation.
Subtract b from both sides, then divide by a.
-20
If each item costs 2 dollars and the total cost is 20, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
10
What is 44 × 20?
Multiply the numbers.
Multiply 44 by 20.
880
What is -1^2?
Evaluate the integer exponent.
Multiply -1 by itself 2 times (0th power = 1).
1
If each item costs -9 dollars and the total cost is -270, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
30
Solve for x: 2(x + 6) = 0
Solve a two-step equation.
Divide both sides by a, then subtract b.
-6
If each item costs 11 dollars and the total cost is 198, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
18
What is 276 - 7?
Subtract the second number from the first.
Subtract 7 from 276.
269
What is -27 ÷ 9?
Divide evenly.
Divide -27 by 9.
-3
If each item costs 2 dollars and the total cost is 58, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
29
Solve for x: 1x + -3 = 6
Solve the linear equation.
Subtract b from both sides, then divide by a.
9
Solve: -10x + -4 > 76
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -8
Solve for x: 1(x + -3) = -3
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
Solve for x: 3x + -16 = 8
Solve the linear equation.
Subtract b from both sides, then divide by a.
8
Solve for x: -4(x + -8) = 12
Solve a two-step equation.
Divide both sides by a, then subtract b.
5
What is 4 ÷ 4?
Divide evenly.
Divide 4 by 4.
1
Solve for x: 6x + -2 = 118
Solve the linear equation.
Subtract b from both sides, then divide by a.
20
Solve for x: -7x + 11 = 144
Solve the linear equation.
Subtract b from both sides, then divide by a.
-19
Solve: -7x + 1 ≤ 22
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -3
Simplify 2/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
Solve: -6x + 6 ≥ -90
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ 16
Solve: -4x + 20 ≤ 0
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 5
Solve: -3x + -12 < 45
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -19
What is 6^1?
Evaluate the integer exponent.
Multiply 6 by itself 1 times (0th power = 1).
6
What is -5^2?
Evaluate the integer exponent.
Multiply -5 by itself 2 times (0th power = 1).
25
What is -7^3?
Evaluate the integer exponent.
Multiply -7 by itself 3 times (0th power = 1).
-343
Solve for x: -10x + 15 = -105
Solve the linear equation.
Subtract b from both sides, then divide by a.
12
What is 7 + -70?
Add the two numbers.
Add 7 and -70.
-63
What is 168 - -114?
Subtract the second number from the first.
Subtract -114 from 168.
282
Solve for x: 1(x + -11) = -12
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
If each item costs 14 dollars and the total cost is -182, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-13
What is -53 × 48?
Multiply the numbers.
Multiply -53 by 48.
-2544
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.
30
What is 202 - 110?
Subtract the second number from the first.
Subtract 110 from 202.
92
What is 293 - -266?
Subtract the second number from the first.
Subtract -266 from 293.
559
Solve: 7x + -9 ≤ -16
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -1
What is 49 × -52?
Multiply the numbers.
Multiply 49 by -52.
-2548
If each item costs 7 dollars and the total cost is -133, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-19
What is -135 + 8?
Add the two numbers.
Add -135 and 8.
-127
Solve: -6x + -9 ≤ -81
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 12
What is -294 ÷ -21?
Divide evenly.
Divide -294 by -21.
14
Solve for x: 7(x + 12) = 63
Solve a two-step equation.
Divide both sides by a, then subtract b.
-3
Simplify 20/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
Solve: -8x + -14 ≤ -70
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 7
What is 6 × 34?
Multiply the numbers.
Multiply 6 by 34.
204
What is 2^2?
Evaluate the integer exponent.
Multiply 2 by itself 2 times (0th power = 1).
4
If each item costs -3 dollars and the total cost is -51, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
17
What is 49 - 16?
Subtract the second number from the first.
Subtract 16 from 49.
33
If each item costs 9 dollars and the total cost is 234, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
26
Solve for x: -4(x + -13) = 60
Solve a two-step equation.
Divide both sides by a, then subtract b.
-2
What is -6^2?
Evaluate the integer exponent.
Multiply -6 by itself 2 times (0th power = 1).
36
Solve for x: -7x + -17 = -17
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
Solve: -4x + -4 ≤ 56
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -15
Simplify 56/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is -87 ÷ -29?
Divide evenly.
Divide -87 by -29.
3
Simplify 30/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
What is 225 + 167?
Add the two numbers.
Add 225 and 167.
392
If each item costs -9 dollars and the total cost is 18, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-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
What is -51 × 1?
Multiply the numbers.
Multiply -51 by 1.
-51
What is -220 + 39?
Add the two numbers.
Add -220 and 39.
-181
Solve for x: -6(x + -2) = 102
Solve a two-step equation.
Divide both sides by a, then subtract b.
-15
What is 97 - -123?
Subtract the second number from the first.
Subtract -123 from 97.
220
What is 7^4?
Evaluate the integer exponent.
Multiply 7 by itself 4 times (0th power = 1).
2401
Solve for x: -7(x + 0) = 98
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
What is -166 - 286?
Subtract the second number from the first.
Subtract 286 from -166.
-452
Simplify 14/7
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
2
What is 90 - -8?
Subtract the second number from the first.
Subtract -8 from 90.
98
Solve for x: 12x + 3 = -237
Solve the linear equation.
Subtract b from both sides, then divide by a.
-20
What is 56 × 27?
Multiply the numbers.
Multiply 56 by 27.
1512
Solve for x: 2(x + 5) = -10
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
What is 14 - 110?
Subtract the second number from the first.
Subtract 110 from 14.
-96
What is 43 - 140?
Subtract the second number from the first.
Subtract 140 from 43.
-97
What is 43 × -30?
Multiply the numbers.
Multiply 43 by -30.
-1290
If each item costs 15 dollars and the total cost is 0, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
0
Simplify -6/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
What is -253 + -121?
Add the two numbers.
Add -253 and -121.
-374
What is 7^1?
Evaluate the integer exponent.
Multiply 7 by itself 1 times (0th power = 1).
7