question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs 5 dollars and the total cost is 45, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
Simplify 36/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is 6 × 59?
|
Multiply the numbers.
|
Multiply 6 by 59.
|
354
|
What is -184 + 129?
|
Add the two numbers.
|
Add -184 and 129.
|
-55
|
Simplify 2/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is -27 × 49?
|
Multiply the numbers.
|
Multiply -27 by 49.
|
-1323
|
If each item costs -3 dollars and the total cost is 27, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is -161 + 43?
|
Add the two numbers.
|
Add -161 and 43.
|
-118
|
What is 132 + 93?
|
Add the two numbers.
|
Add 132 and 93.
|
225
|
What is -142 + 134?
|
Add the two numbers.
|
Add -142 and 134.
|
-8
|
What is 214 - 114?
|
Subtract the second number from the first.
|
Subtract 114 from 214.
|
100
|
Solve: -8x + 14 ≤ -130
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 18
|
What is -154 + 109?
|
Add the two numbers.
|
Add -154 and 109.
|
-45
|
What is 7^1?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 1 times (0th power = 1).
|
7
|
Solve for x: -2(x + -9) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve: 10x + -7 > -167
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -16
|
Solve for x: -2(x + -14) = 26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
Simplify -40/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Solve for x: 9x + -13 = -67
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-6
|
Solve for x: 6x + -7 = 29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
What is 191 + 106?
|
Add the two numbers.
|
Add 191 and 106.
|
297
|
Solve for x: -4(x + 12) = -40
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Solve for x: 10x + 9 = -31
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Simplify 21/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is 0 × -56?
|
Multiply the numbers.
|
Multiply 0 by -56.
|
0
|
Solve: 3x + 7 ≤ 10
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 1
|
Simplify -12/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Solve: 2x + 19 > 7
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -6
|
What is 161 + 10?
|
Add the two numbers.
|
Add 161 and 10.
|
171
|
What is 17 ÷ -17?
|
Divide evenly.
|
Divide 17 by -17.
|
-1
|
If each item costs 19 dollars and the total cost is -76, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
Solve for x: 4(x + -5) = -44
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
What is 3^0?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 0 times (0th power = 1).
|
1
|
What is -7^5?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 5 times (0th power = 1).
|
-16807
|
If each item costs -6 dollars and the total cost is -48, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
What is 42 × -7?
|
Multiply the numbers.
|
Multiply 42 by -7.
|
-294
|
If each item costs -10 dollars and the total cost is 190, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Simplify -112/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is -131 + 144?
|
Add the two numbers.
|
Add -131 and 144.
|
13
|
What is 12 ÷ -12?
|
Divide evenly.
|
Divide 12 by -12.
|
-1
|
Simplify 70/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
Simplify 4/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: 2x + -24 = -44
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
What is -258 + -204?
|
Add the two numbers.
|
Add -258 and -204.
|
-462
|
What is 87 - 14?
|
Subtract the second number from the first.
|
Subtract 14 from 87.
|
73
|
What is -40 × 15?
|
Multiply the numbers.
|
Multiply -40 by 15.
|
-600
|
Solve for x: -2(x + -14) = 14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
What is -119 - -296?
|
Subtract the second number from the first.
|
Subtract -296 from -119.
|
177
|
What is -180 ÷ -20?
|
Divide evenly.
|
Divide -180 by -20.
|
9
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
What is 222 - 229?
|
Subtract the second number from the first.
|
Subtract 229 from 222.
|
-7
|
What is -7 × 49?
|
Multiply the numbers.
|
Multiply -7 by 49.
|
-343
|
What is -3^1?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 1 times (0th power = 1).
|
-3
|
What is 60 × 18?
|
Multiply the numbers.
|
Multiply 60 by 18.
|
1080
|
Simplify 120/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve: 10x + 17 ≥ -133
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -15
|
What is 4^0?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 0 times (0th power = 1).
|
1
|
Solve for x: -4(x + -2) = -52
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is -2^1?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 1 times (0th power = 1).
|
-2
|
Simplify -4/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
Solve for x: 3x + -9 = -54
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is 193 + -234?
|
Add the two numbers.
|
Add 193 and -234.
|
-41
|
Solve for x: 4x + -6 = 54
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
What is -217 - 39?
|
Subtract the second number from the first.
|
Subtract 39 from -217.
|
-256
|
Solve for x: 4(x + -1) = -64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 217 + -298?
|
Add the two numbers.
|
Add 217 and -298.
|
-81
|
What is 56 + 276?
|
Add the two numbers.
|
Add 56 and 276.
|
332
|
What is 57 × 44?
|
Multiply the numbers.
|
Multiply 57 by 44.
|
2508
|
Simplify -8/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is 4 - -138?
|
Subtract the second number from the first.
|
Subtract -138 from 4.
|
142
|
What is 216 - 218?
|
Subtract the second number from the first.
|
Subtract 218 from 216.
|
-2
|
What is -8^2?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 2 times (0th power = 1).
|
64
|
What is -199 + -54?
|
Add the two numbers.
|
Add -199 and -54.
|
-253
|
What is 35 × -30?
|
Multiply the numbers.
|
Multiply 35 by -30.
|
-1050
|
Simplify 60/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is 5^0?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 0 times (0th power = 1).
|
1
|
Simplify -16/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is -55 ÷ -5?
|
Divide evenly.
|
Divide -55 by -5.
|
11
|
What is -1^1?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 1 times (0th power = 1).
|
-1
|
Simplify -7/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Solve: -5x + -16 > 39
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -11
|
What is -160 ÷ 16?
|
Divide evenly.
|
Divide -160 by 16.
|
-10
|
What is -41 × -29?
|
Multiply the numbers.
|
Multiply -41 by -29.
|
1189
|
Solve: 3x + -7 ≤ -64
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -19
|
What is -47 + 237?
|
Add the two numbers.
|
Add -47 and 237.
|
190
|
What is -43 × -34?
|
Multiply the numbers.
|
Multiply -43 by -34.
|
1462
|
Solve: 8x + -15 ≥ -151
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -17
|
What is 34 - 60?
|
Subtract the second number from the first.
|
Subtract 60 from 34.
|
-26
|
What is -297 ÷ -27?
|
Divide evenly.
|
Divide -297 by -27.
|
11
|
Simplify -112/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
Solve for x: -1(x + 3) = 1
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
What is -5 + -76?
|
Add the two numbers.
|
Add -5 and -76.
|
-81
|
What is 8^1?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 1 times (0th power = 1).
|
8
|
What is 27 × 60?
|
Multiply the numbers.
|
Multiply 27 by 60.
|
1620
|
Solve: 2x + 0 > 20
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 10
|
What is -188 + 119?
|
Add the two numbers.
|
Add -188 and 119.
|
-69
|
Solve for x: -4x + -23 = 37
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
Solve for x: -3x + 4 = 49
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
If each item costs 20 dollars and the total cost is 600, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
What is 142 - 218?
|
Subtract the second number from the first.
|
Subtract 218 from 142.
|
-76
|
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