question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: 1x + 1 ≤ 18
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 17
|
What is -92 - 206?
|
Subtract the second number from the first.
|
Subtract 206 from -92.
|
-298
|
Solve: 8x + 19 ≤ -117
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -17
|
Solve: 9x + 3 ≤ 93
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 10
|
What is -6^4?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 4 times (0th power = 1).
|
1296
|
Simplify 48/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is 96 ÷ -6?
|
Divide evenly.
|
Divide 96 by -6.
|
-16
|
What is 99 - 19?
|
Subtract the second number from the first.
|
Subtract 19 from 99.
|
80
|
Simplify -36/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
If each item costs -5 dollars and the total cost is -15, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
What is 27 ÷ -3?
|
Divide evenly.
|
Divide 27 by -3.
|
-9
|
Solve: 8x + -5 > 147
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 19
|
What is 43 × -43?
|
Multiply the numbers.
|
Multiply 43 by -43.
|
-1849
|
Solve: -9x + 12 ≤ -141
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 17
|
Solve for x: -1(x + 10) = -21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is 291 + 6?
|
Add the two numbers.
|
Add 291 and 6.
|
297
|
What is 510 ÷ 30?
|
Divide evenly.
|
Divide 510 by 30.
|
17
|
Simplify -28/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
What is 187 + 294?
|
Add the two numbers.
|
Add 187 and 294.
|
481
|
What is -44 - 240?
|
Subtract the second number from the first.
|
Subtract 240 from -44.
|
-284
|
Solve for x: 11x + -14 = 74
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is 113 - 32?
|
Subtract the second number from the first.
|
Subtract 32 from 113.
|
81
|
What is 493 ÷ -29?
|
Divide evenly.
|
Divide 493 by -29.
|
-17
|
What is 1^5?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 5 times (0th power = 1).
|
1
|
Simplify -45/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
If each item costs -3 dollars and the total cost is 54, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Solve: 10x + -19 ≤ -59
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -4
|
What is -214 - -290?
|
Subtract the second number from the first.
|
Subtract -290 from -214.
|
76
|
What is -1^0?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 0 times (0th power = 1).
|
1
|
What is 68 + 241?
|
Add the two numbers.
|
Add 68 and 241.
|
309
|
Solve for x: -5(x + -11) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is 107 - 299?
|
Subtract the second number from the first.
|
Subtract 299 from 107.
|
-192
|
If each item costs 9 dollars and the total cost is -99, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
What is -16 × 42?
|
Multiply the numbers.
|
Multiply -16 by 42.
|
-672
|
Solve: -7x + -8 ≥ 125
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -19
|
What is -540 ÷ -27?
|
Divide evenly.
|
Divide -540 by -27.
|
20
|
Solve for x: -3x + -8 = 13
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
What is 44 ÷ 4?
|
Divide evenly.
|
Divide 44 by 4.
|
11
|
Solve for x: -6(x + 2) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
Solve for x: -3x + -11 = -29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
What is 1^1?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 1 times (0th power = 1).
|
1
|
What is -12 × 38?
|
Multiply the numbers.
|
Multiply -12 by 38.
|
-456
|
Solve for x: 1(x + 7) = 3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
What is -3 × 11?
|
Multiply the numbers.
|
Multiply -3 by 11.
|
-33
|
Solve for x: 3x + -25 = -52
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Simplify -84/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Solve for x: 8x + 28 = 76
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Simplify -18/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Simplify 21/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve: -9x + 13 < 94
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -9
|
Solve: -7x + -9 ≥ -86
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 11
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
Solve for x: 4x + 28 = -12
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
What is 450 ÷ 25?
|
Divide evenly.
|
Divide 450 by 25.
|
18
|
What is 2^2?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 2 times (0th power = 1).
|
4
|
What is -88 + 237?
|
Add the two numbers.
|
Add -88 and 237.
|
149
|
What is 340 ÷ -17?
|
Divide evenly.
|
Divide 340 by -17.
|
-20
|
What is 69 - 43?
|
Subtract the second number from the first.
|
Subtract 43 from 69.
|
26
|
What is -180 ÷ -15?
|
Divide evenly.
|
Divide -180 by -15.
|
12
|
What is -6 × 34?
|
Multiply the numbers.
|
Multiply -6 by 34.
|
-204
|
What is -105 ÷ 15?
|
Divide evenly.
|
Divide -105 by 15.
|
-7
|
If each item costs 13 dollars and the total cost is 169, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
What is 33 - -262?
|
Subtract the second number from the first.
|
Subtract -262 from 33.
|
295
|
Solve for x: 5x + -13 = 32
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
9
|
Solve for x: 10x + -22 = -192
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Solve for x: 7(x + 3) = 35
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
Simplify 40/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
If each item costs -8 dollars and the total cost is -208, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
Solve for x: 3x + -18 = -75
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
Solve: 7x + 20 ≤ 34
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 2
|
What is 8 × 49?
|
Multiply the numbers.
|
Multiply 8 by 49.
|
392
|
What is 142 + 293?
|
Add the two numbers.
|
Add 142 and 293.
|
435
|
What is -258 + -258?
|
Add the two numbers.
|
Add -258 and -258.
|
-516
|
What is -322 ÷ 23?
|
Divide evenly.
|
Divide -322 by 23.
|
-14
|
Solve: -2x + -8 ≥ 8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -8
|
If each item costs -8 dollars and the total cost is 48, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
What is 7^1?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 1 times (0th power = 1).
|
7
|
What is 53 × 46?
|
Multiply the numbers.
|
Multiply 53 by 46.
|
2438
|
Solve: 1x + -19 ≥ -26
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -7
|
What is -5^5?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 5 times (0th power = 1).
|
-3125
|
Simplify 84/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve for x: -8(x + -9) = 152
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Solve for x: 7x + -3 = -143
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
Solve: -10x + -3 < 67
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -7
|
What is 163 - 87?
|
Subtract the second number from the first.
|
Subtract 87 from 163.
|
76
|
Solve for x: 10x + -12 = -172
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
Solve for x: 4x + -7 = -23
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is -72 - 269?
|
Subtract the second number from the first.
|
Subtract 269 from -72.
|
-341
|
Solve for x: 1(x + 5) = -9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve: 4x + 17 > -19
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
If each item costs -4 dollars and the total cost is -100, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
What is 27 - 240?
|
Subtract the second number from the first.
|
Subtract 240 from 27.
|
-213
|
If each item costs -10 dollars and the total cost is -230, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
What is 100 ÷ 20?
|
Divide evenly.
|
Divide 100 by 20.
|
5
|
What is 236 + 172?
|
Add the two numbers.
|
Add 236 and 172.
|
408
|
What is 19 ÷ -19?
|
Divide evenly.
|
Divide 19 by -19.
|
-1
|
Solve for x: 5(x + 15) = 65
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Solve for x: 1(x + -12) = -9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is -30 ÷ 5?
|
Divide evenly.
|
Divide -30 by 5.
|
-6
|
Solve for x: 4x + -2 = 62
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
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