question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: 4x + -8 ≥ 28
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 9
|
Solve for x: -8x + 19 = -45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is -1^4?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 4 times (0th power = 1).
|
1
|
If each item costs -6 dollars and the total cost is 54, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is -244 - -155?
|
Subtract the second number from the first.
|
Subtract -155 from -244.
|
-89
|
What is 24 ÷ -6?
|
Divide evenly.
|
Divide 24 by -6.
|
-4
|
What is -352 ÷ -22?
|
Divide evenly.
|
Divide -352 by -22.
|
16
|
What is -57 + -76?
|
Add the two numbers.
|
Add -57 and -76.
|
-133
|
If each item costs 5 dollars and the total cost is 145, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
Simplify 72/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Simplify 56/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is 19 + -292?
|
Add the two numbers.
|
Add 19 and -292.
|
-273
|
Solve: -6x + -16 < -16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 0
|
What is 246 + 137?
|
Add the two numbers.
|
Add 246 and 137.
|
383
|
What is -22 × -58?
|
Multiply the numbers.
|
Multiply -22 by -58.
|
1276
|
Solve: 5x + -18 < -53
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -7
|
What is -432 ÷ -24?
|
Divide evenly.
|
Divide -432 by -24.
|
18
|
What is 174 - -35?
|
Subtract the second number from the first.
|
Subtract -35 from 174.
|
209
|
If each item costs -7 dollars and the total cost is 126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
What is -19 + 243?
|
Add the two numbers.
|
Add -19 and 243.
|
224
|
If each item costs 8 dollars and the total cost is -40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
Solve: 6x + 2 > -100
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -17
|
Solve: -9x + 14 ≤ -139
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 17
|
If each item costs -3 dollars and the total cost is -36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
What is -119 ÷ -7?
|
Divide evenly.
|
Divide -119 by -7.
|
17
|
Solve for x: -8(x + -2) = 128
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is -15 × -59?
|
Multiply the numbers.
|
Multiply -15 by -59.
|
885
|
What is -52 - 86?
|
Subtract the second number from the first.
|
Subtract 86 from -52.
|
-138
|
What is -56 ÷ -4?
|
Divide evenly.
|
Divide -56 by -4.
|
14
|
What is -39 × -25?
|
Multiply the numbers.
|
Multiply -39 by -25.
|
975
|
Solve: -8x + 5 > 53
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -6
|
What is 171 ÷ -19?
|
Divide evenly.
|
Divide 171 by -19.
|
-9
|
What is -184 ÷ 23?
|
Divide evenly.
|
Divide -184 by 23.
|
-8
|
What is 176 ÷ 16?
|
Divide evenly.
|
Divide 176 by 16.
|
11
|
What is 182 ÷ -14?
|
Divide evenly.
|
Divide 182 by -14.
|
-13
|
What is -2^5?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 5 times (0th power = 1).
|
-32
|
What is -5^0?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 0 times (0th power = 1).
|
1
|
Solve for x: 7(x + 10) = 105
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
Solve for x: 6(x + -5) = -120
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
Simplify -168/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is -32 - 155?
|
Subtract the second number from the first.
|
Subtract 155 from -32.
|
-187
|
What is -77 + 250?
|
Add the two numbers.
|
Add -77 and 250.
|
173
|
If each item costs 3 dollars and the total cost is -45, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
What is 30 - -198?
|
Subtract the second number from the first.
|
Subtract -198 from 30.
|
228
|
Solve: -9x + -17 ≤ 127
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -16
|
What is -42 × 55?
|
Multiply the numbers.
|
Multiply -42 by 55.
|
-2310
|
Solve: -8x + 6 < 118
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -14
|
If each item costs 13 dollars and the total cost is -104, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-8
|
What is -127 - 198?
|
Subtract the second number from the first.
|
Subtract 198 from -127.
|
-325
|
If each item costs 19 dollars and the total cost is -380, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
What is 249 + -141?
|
Add the two numbers.
|
Add 249 and -141.
|
108
|
Solve for x: 9x + -14 = 49
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
Solve for x: 7(x + 11) = 133
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Solve for x: -6(x + 0) = -72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Simplify 50/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve for x: 4(x + 14) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is -8^0?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 0 times (0th power = 1).
|
1
|
Solve: 10x + 3 < 163
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 16
|
What is 364 ÷ 28?
|
Divide evenly.
|
Divide 364 by 28.
|
13
|
Simplify 12/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Solve for x: 12x + -9 = 111
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is -368 ÷ 23?
|
Divide evenly.
|
Divide -368 by 23.
|
-16
|
What is -154 ÷ -22?
|
Divide evenly.
|
Divide -154 by -22.
|
7
|
Solve for x: -3x + 13 = -35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
What is 3^3?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 3 times (0th power = 1).
|
27
|
Simplify 4/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
If each item costs 20 dollars and the total cost is 180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
What is -157 - 70?
|
Subtract the second number from the first.
|
Subtract 70 from -157.
|
-227
|
What is -15 ÷ 3?
|
Divide evenly.
|
Divide -15 by 3.
|
-5
|
What is 8^2?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 2 times (0th power = 1).
|
64
|
Solve for x: -7(x + 13) = -147
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Simplify 40/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
What is 33 × 22?
|
Multiply the numbers.
|
Multiply 33 by 22.
|
726
|
Solve for x: 5x + 26 = 61
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
What is -40 × -49?
|
Multiply the numbers.
|
Multiply -40 by -49.
|
1960
|
What is 0 ÷ -22?
|
Divide evenly.
|
Divide 0 by -22.
|
0
|
What is -30 ÷ 30?
|
Divide evenly.
|
Divide -30 by 30.
|
-1
|
Simplify 48/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is 44 + 22?
|
Add the two numbers.
|
Add 44 and 22.
|
66
|
Solve for x: -6(x + -14) = 78
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is 85 + 224?
|
Add the two numbers.
|
Add 85 and 224.
|
309
|
What is 49 × 26?
|
Multiply the numbers.
|
Multiply 49 by 26.
|
1274
|
What is 5^5?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 5 times (0th power = 1).
|
3125
|
What is 432 ÷ -27?
|
Divide evenly.
|
Divide 432 by -27.
|
-16
|
What is 320 ÷ 20?
|
Divide evenly.
|
Divide 320 by 20.
|
16
|
Solve: -10x + 13 < 73
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -6
|
Solve for x: 4x + -28 = 32
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
What is 513 ÷ 27?
|
Divide evenly.
|
Divide 513 by 27.
|
19
|
What is 3^1?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 1 times (0th power = 1).
|
3
|
Simplify 64/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
If each item costs 13 dollars and the total cost is -182, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-14
|
What is 392 ÷ -28?
|
Divide evenly.
|
Divide 392 by -28.
|
-14
|
What is 342 ÷ -18?
|
Divide evenly.
|
Divide 342 by -18.
|
-19
|
What is -36 + -174?
|
Add the two numbers.
|
Add -36 and -174.
|
-210
|
Simplify 14/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: -6(x + -8) = -6
|
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 -14, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is -6^1?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 1 times (0th power = 1).
|
-6
|
If each item costs 7 dollars and the total cost is -42, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
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