question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify 112/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is 8^2?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 2 times (0th power = 1).
|
64
|
What is -176 - 33?
|
Subtract the second number from the first.
|
Subtract 33 from -176.
|
-209
|
Solve for x: 5x + 27 = 72
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
What is -57 × -41?
|
Multiply the numbers.
|
Multiply -57 by -41.
|
2337
|
Simplify 5/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve: 5x + 1 > 26
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 5
|
If each item costs 9 dollars and the total cost is -162, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
If each item costs 1 dollars and the total cost is 17, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
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
|
What is -224 ÷ -16?
|
Divide evenly.
|
Divide -224 by -16.
|
14
|
If each item costs -1 dollars and the total cost is 14, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-14
|
What is 31 - 193?
|
Subtract the second number from the first.
|
Subtract 193 from 31.
|
-162
|
What is 28 × 3?
|
Multiply the numbers.
|
Multiply 28 by 3.
|
84
|
What is -38 ÷ -2?
|
Divide evenly.
|
Divide -38 by -2.
|
19
|
If each item costs 9 dollars and the total cost is 162, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
Solve: -5x + -10 < -35
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 5
|
What is 1 × 30?
|
Multiply the numbers.
|
Multiply 1 by 30.
|
30
|
What is -252 + 223?
|
Add the two numbers.
|
Add -252 and 223.
|
-29
|
What is -348 ÷ -29?
|
Divide evenly.
|
Divide -348 by -29.
|
12
|
Simplify -48/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Solve for x: -12x + 11 = 143
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
Solve: 1x + -8 < 0
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 8
|
If each item costs 10 dollars and the total cost is 70, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
Simplify -3/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is -153 - -268?
|
Subtract the second number from the first.
|
Subtract -268 from -153.
|
115
|
If each item costs 1 dollars and the total cost is -2, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
What is -223 + 9?
|
Add the two numbers.
|
Add -223 and 9.
|
-214
|
What is 240 ÷ -30?
|
Divide evenly.
|
Divide 240 by -30.
|
-8
|
Solve for x: -3x + -18 = 27
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -175 ÷ 25?
|
Divide evenly.
|
Divide -175 by 25.
|
-7
|
What is -32 × 24?
|
Multiply the numbers.
|
Multiply -32 by 24.
|
-768
|
If each item costs 17 dollars and the total cost is -204, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
Simplify -105/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve for x: -9x + -8 = 127
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -5^3?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 3 times (0th power = 1).
|
-125
|
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
|
What is -16 - -49?
|
Subtract the second number from the first.
|
Subtract -49 from -16.
|
33
|
Simplify 110/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
Solve: -3x + 8 ≤ 2
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 2
|
Solve for x: 7x + -3 = 39
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve for x: -5(x + 9) = -120
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is -49 × 5?
|
Multiply the numbers.
|
Multiply -49 by 5.
|
-245
|
Solve for x: 6x + -18 = 48
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
11
|
Simplify 30/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
If each item costs 13 dollars and the total cost is 143, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
What is -95 + -51?
|
Add the two numbers.
|
Add -95 and -51.
|
-146
|
Solve: -6x + -20 < -20
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 0
|
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 for x: -8(x + -13) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is -4^3?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 3 times (0th power = 1).
|
-64
|
What is -324 ÷ 27?
|
Divide evenly.
|
Divide -324 by 27.
|
-12
|
If each item costs -1 dollars and the total cost is -7, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
What is -240 + -209?
|
Add the two numbers.
|
Add -240 and -209.
|
-449
|
What is 15 × -49?
|
Multiply the numbers.
|
Multiply 15 by -49.
|
-735
|
Simplify -12/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is 1^5?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 5 times (0th power = 1).
|
1
|
Solve for x: -3(x + 14) = -87
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve for x: -1(x + 5) = -5
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
Solve: 10x + -12 ≤ 158
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 17
|
Solve: -3x + 11 ≥ -16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 9
|
What is 27 × 36?
|
Multiply the numbers.
|
Multiply 27 by 36.
|
972
|
What is 41 × 4?
|
Multiply the numbers.
|
Multiply 41 by 4.
|
164
|
Simplify -15/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is 299 - -195?
|
Subtract the second number from the first.
|
Subtract -195 from 299.
|
494
|
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.
|
6
|
What is 27 × -7?
|
Multiply the numbers.
|
Multiply 27 by -7.
|
-189
|
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.
|
-1
|
What is 34 × 4?
|
Multiply the numbers.
|
Multiply 34 by 4.
|
136
|
Solve for x: 8(x + 1) = -96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Solve: 8x + 1 < 153
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 19
|
Solve: 9x + -4 < -184
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -20
|
Solve for x: 1(x + 6) = -8
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: 7(x + 14) = 196
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -9 × 42?
|
Multiply the numbers.
|
Multiply -9 by 42.
|
-378
|
If each item costs -5 dollars and the total cost is 10, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
Solve for x: 8(x + -15) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve for x: 7(x + -7) = -70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is -6 - -164?
|
Subtract the second number from the first.
|
Subtract -164 from -6.
|
158
|
If each item costs 20 dollars and the total cost is 260, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
Simplify 108/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve for x: 10x + 16 = 116
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is -256 ÷ 16?
|
Divide evenly.
|
Divide -256 by 16.
|
-16
|
What is 119 ÷ 17?
|
Divide evenly.
|
Divide 119 by 17.
|
7
|
Solve for x: -6(x + -9) = 36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
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
|
Simplify 0/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
What is -51 ÷ -17?
|
Divide evenly.
|
Divide -51 by -17.
|
3
|
What is 55 × -19?
|
Multiply the numbers.
|
Multiply 55 by -19.
|
-1045
|
Solve for x: 4x + 26 = 58
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is -78 - -230?
|
Subtract the second number from the first.
|
Subtract -230 from -78.
|
152
|
Solve for x: -7(x + -8) = 28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve: -8x + -7 ≥ 9
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -2
|
What is 48 × -46?
|
Multiply the numbers.
|
Multiply 48 by -46.
|
-2208
|
If each item costs 19 dollars and the total cost is 38, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
What is -19 × 23?
|
Multiply the numbers.
|
Multiply -19 by 23.
|
-437
|
What is -504 ÷ -28?
|
Divide evenly.
|
Divide -504 by -28.
|
18
|
Simplify 24/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve: -7x + -7 ≥ -21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 2
|
Solve for x: -2(x + -8) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
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