text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Evaluate 3/(-32) - 7722/7744.", "answer": "-12/11"} | Evaluate 3/(-32) - 7722/7744. | -12/11 |
{"question": "Factor -376152*v**2/5 - 2*v.", "answer": "-2*v*(188076*v + 5)/5"} | Factor -376152*v**2/5 - 2*v. | -2*v*(188076*v + 5)/5 |
{"question": "Suppose -c - 17 = -47. Is c a multiple of 15?", "answer": "True"} | Suppose -c - 17 = -47. Is c a multiple of 15? | True |
{"question": "Suppose 75*g = 72*g + 6. What is the third smallest value in -4, -2, g, 12?", "answer": "g"} | Suppose 75*g = 72*g + 6. What is the third smallest value in -4, -2, g, 12? | g |
{"question": "What is the least common multiple of 17/(170/460) + -7 and 18?", "answer": "234"} | What is the least common multiple of 17/(170/460) + -7 and 18? | 234 |
{"question": "Let c(w) = 7*w + 58. Determine c(-8).", "answer": "2"} | Let c(w) = 7*w + 58. Determine c(-8). | 2 |
{"question": "Let i be 20/12 - -5*8/(-60). Put -4, 5, i in decreasing order.", "answer": "5, i, -4"} | Let i be 20/12 - -5*8/(-60). Put -4, 5, i in decreasing order. | 5, i, -4 |
{"question": "Solve -1 + 21 = 4*t for t.", "answer": "5"} | Solve -1 + 21 = 4*t for t. | 5 |
{"question": "What is the second derivative of 4*o**5*q - 4*o**5 - 48*o**4 + 87*o*q - 5 wrt o?", "answer": "80*o**3*q - 80*o**3 - 576*o**2"} | What is the second derivative of 4*o**5*q - 4*o**5 - 48*o**4 + 87*o*q - 5 wrt o? | 80*o**3*q - 80*o**3 - 576*o**2 |
{"question": "Put -1907, 2, 3, -22, -5 in decreasing order.", "answer": "3, 2, -5, -22, -1907"} | Put -1907, 2, 3, -22, -5 in decreasing order. | 3, 2, -5, -22, -1907 |
{"question": "Let j = 6 + -11. Let m = j - -6. What is the least common multiple of (0 - -6)/m + -1 and 3?", "answer": "15"} | Let j = 6 + -11. Let m = j - -6. What is the least common multiple of (0 - -6)/m + -1 and 3? | 15 |
{"question": "Let t be -2*(-6)/(-4) + 48/6. Let w(s) = -s**3 + 7*s**2 + 2*s - 5. List the prime factors of w(t).", "answer": "5, 11"} | Let t be -2*(-6)/(-4) + 48/6. Let w(s) = -s**3 + 7*s**2 + 2*s - 5. List the prime factors of w(t). | 5, 11 |
{"question": "Let r = -1.6 - -0.6. Is r >= -2/3?", "answer": "False"} | Let r = -1.6 - -0.6. Is r >= -2/3? | False |
{"question": "Let i(g) = -6*g - 3. Calculate i(2).", "answer": "-15"} | Let i(g) = -6*g - 3. Calculate i(2). | -15 |
{"question": "Let z be 7 + (0 + 0 - -1). Suppose -2*j - 3 + 7 = 2*a, -22 = -2*j + 4*a. Solve -j*h + 2*w = 4, -z + 1 = 2*h + w for h.", "answer": "-2"} | Let z be 7 + (0 + 0 - -1). Suppose -2*j - 3 + 7 = 2*a, -22 = -2*j + 4*a. Solve -j*h + 2*w = 4, -z + 1 = 2*h + w for h. | -2 |
{"question": "Let w = -79 - -126. Let d = w - 44.2. What is d rounded to the nearest integer?", "answer": "3"} | Let w = -79 - -126. Let d = w - 44.2. What is d rounded to the nearest integer? | 3 |
{"question": "Let v = 479 + -475. Let u(w) = -w**2 + 6*w + 8. Calculate the remainder when 221 is divided by u(v).", "answer": "13"} | Let v = 479 + -475. Let u(w) = -w**2 + 6*w + 8. Calculate the remainder when 221 is divided by u(v). | 13 |
{"question": "Suppose 0 = 4*p + 16, -5*h + 5*p = p - 56. Suppose 4316 = h*k + 18*k. List the prime factors of k.", "answer": "2, 83"} | Suppose 0 = 4*p + 16, -5*h + 5*p = p - 56. Suppose 4316 = h*k + 18*k. List the prime factors of k. | 2, 83 |
{"question": "What is the units digit of 41671920?", "answer": "0"} | What is the units digit of 41671920? | 0 |
{"question": "How many millilitres are there in 8/25 of a litre?", "answer": "320"} | How many millilitres are there in 8/25 of a litre? | 320 |
{"question": "Calculate the remainder when (18/(-24) + 25/60)*-87 is divided by 16.", "answer": "13"} | Calculate the remainder when (18/(-24) + 25/60)*-87 is divided by 16. | 13 |
{"question": "Let s(t) = -2*t + 6. Let v be s(4). Let w = v - -7. Sort w, 1/6, 0.4 in descending order.", "answer": "w, 0.4, 1/6"} | Let s(t) = -2*t + 6. Let v be s(4). Let w = v - -7. Sort w, 1/6, 0.4 in descending order. | w, 0.4, 1/6 |
{"question": "Find the third derivative of 955*l**5 - 793*l**4 + 63*l**3 - l**2 - 172676061*l + 2 wrt l.", "answer": "57300*l**2 - 19032*l + 378"} | Find the third derivative of 955*l**5 - 793*l**4 + 63*l**3 - l**2 - 172676061*l + 2 wrt l. | 57300*l**2 - 19032*l + 378 |
{"question": "How many nanometers are there in 29/2 of a micrometer?", "answer": "14500"} | How many nanometers are there in 29/2 of a micrometer? | 14500 |
{"question": "Let s(x) = x**3 + 8*x**2 + 11. Determine s(-8).", "answer": "11"} | Let s(x) = x**3 + 8*x**2 + 11. Determine s(-8). | 11 |
{"question": "Let l(w) = 23*w - 20. Let q(m) = -m**2 + 10*m - 25. Let d be q(7). Let f be l(d). Let y = f - -252. What is the tens digit of y?", "answer": "4"} | Let l(w) = 23*w - 20. Let q(m) = -m**2 + 10*m - 25. Let d be q(7). Let f be l(d). Let y = f - -252. What is the tens digit of y? | 4 |
{"question": "What is 36.2016 meters in kilometers?", "answer": "0.0362016"} | What is 36.2016 meters in kilometers? | 0.0362016 |
{"question": "Put together 4282.92917831 and 0.1.", "answer": "4283.02917831"} | Put together 4282.92917831 and 0.1. | 4283.02917831 |
{"question": "What is the square root of 2508992409 to the nearest integer?", "answer": "50090"} | What is the square root of 2508992409 to the nearest integer? | 50090 |
{"question": "Is 54053 a prime number?", "answer": "False"} | Is 54053 a prime number? | False |
{"question": "Calculate the remainder when 10 is divided by 10.", "answer": "0"} | Calculate the remainder when 10 is divided by 10. | 0 |
{"question": "Simplify (v/v**(1/3)*v)/v*v**(2/11)*v**(-5)*v*v**3/v*(v**(1/2))**(5/3)/((v/((v*v/(v*v*v/((v*v**4)/v)*v*v))/v))/(v**(3/2)/v*v)) assuming v is positive.", "answer": "v**(2/11)"} | Simplify (v/v**(1/3)*v)/v*v**(2/11)*v**(-5)*v*v**3/v*(v**(1/2))**(5/3)/((v/((v*v/(v*v*v/((v*v**4)/v)*v*v))/v))/(v**(3/2)/v*v)) assuming v is positive. | v**(2/11) |
{"question": "What is the greatest common factor of 18 and 856?", "answer": "2"} | What is the greatest common factor of 18 and 856? | 2 |
{"question": "Let a be (-56)/(-16) - 2 - (-6)/(-36). Put 0.3, -1/8, a, -2 in descending order.", "answer": "a, 0.3, -1/8, -2"} | Let a be (-56)/(-16) - 2 - (-6)/(-36). Put 0.3, -1/8, a, -2 in descending order. | a, 0.3, -1/8, -2 |
{"question": "Simplify -1*(((1*sqrt(65))/sqrt(5) + ((sqrt(78) - (sqrt(78) - 2*sqrt(78))) + sqrt(78))/sqrt(6) - (sqrt(1872) - -4*sqrt(1872)*1)) + 3).", "answer": "-3 + 56*sqrt(13)"} | Simplify -1*(((1*sqrt(65))/sqrt(5) + ((sqrt(78) - (sqrt(78) - 2*sqrt(78))) + sqrt(78))/sqrt(6) - (sqrt(1872) - -4*sqrt(1872)*1)) + 3). | -3 + 56*sqrt(13) |
{"question": "Calculate (6/40)/((-117)/(-104)).", "answer": "2/15"} | Calculate (6/40)/((-117)/(-104)). | 2/15 |
{"question": "Let s = 2 - 7. Let x(y) = -4 - 3 - 5*y + 2*y. Calculate x(s).", "answer": "8"} | Let s = 2 - 7. Let x(y) = -4 - 3 - 5*y + 2*y. Calculate x(s). | 8 |
{"question": "How many months are there in 7/2 of a year?", "answer": "42"} | How many months are there in 7/2 of a year? | 42 |
{"question": "Suppose -9*j + 30 = -4*j. Differentiate j - 15*y - 4*y**2 + 33*y - 18*y wrt y.", "answer": "-8*y"} | Suppose -9*j + 30 = -4*j. Differentiate j - 15*y - 4*y**2 + 33*y - 18*y wrt y. | -8*y |
{"question": "(-8)/28*((-294)/(-133))/6", "answer": "-2/19"} | (-8)/28*((-294)/(-133))/6 | -2/19 |
{"question": "Four letters picked without replacement from {f: 1, b: 2, j: 1, g: 2, u: 1, m: 2}. Give prob of picking 2 b, 1 u, and 1 m.", "answer": "1/63"} | Four letters picked without replacement from {f: 1, b: 2, j: 1, g: 2, u: 1, m: 2}. Give prob of picking 2 b, 1 u, and 1 m. | 1/63 |
{"question": "Work out -0.4 * 22.", "answer": "-8.8"} | Work out -0.4 * 22. | -8.8 |
{"question": "Let w(f) = f. Let q(l) = -8*l. Determine w(q(k)).", "answer": "-8*k"} | Let w(f) = f. Let q(l) = -8*l. Determine w(q(k)). | -8*k |
{"question": "Suppose 0 = -2*w + 4*y + 194, 0 = -5*w - 2*y + 140 + 393. What is the highest common divisor of w and 15?", "answer": "15"} | Suppose 0 = -2*w + 4*y + 194, 0 = -5*w - 2*y + 140 + 393. What is the highest common divisor of w and 15? | 15 |
{"question": "Is 190507 composite?", "answer": "False"} | Is 190507 composite? | False |
{"question": "Expand (2 + 4 - 5)*(-4 - 2*w**3 + 4)*(-2 - 2*w + 2) - 2*w**4 - w + w.", "answer": "2*w**4"} | Expand (2 + 4 - 5)*(-4 - 2*w**3 + 4)*(-2 - 2*w + 2) - 2*w**4 - w + w. | 2*w**4 |
{"question": "Is 90 a factor of 4159?", "answer": "False"} | Is 90 a factor of 4159? | False |
{"question": "Calculate the remainder when 30417 is divided by 15205.", "answer": "7"} | Calculate the remainder when 30417 is divided by 15205. | 7 |
{"question": "Let h(p) be the third derivative of p**7/2100 + p**6/900 + p**3/3 - p**2. Let n(q) be the first derivative of h(q). Factor n(i).", "answer": "2*i**2*(i + 1)/5"} | Let h(p) be the third derivative of p**7/2100 + p**6/900 + p**3/3 - p**2. Let n(q) be the first derivative of h(q). Factor n(i). | 2*i**2*(i + 1)/5 |
{"question": "What is 4 times -13596820?", "answer": "-54387280"} | What is 4 times -13596820? | -54387280 |
{"question": "What is 117 - -0.04614?", "answer": "117.04614"} | What is 117 - -0.04614? | 117.04614 |
{"question": "Which is greater: 57 or 53?", "answer": "57"} | Which is greater: 57 or 53? | 57 |
{"question": "Let n(i) be the second derivative of 5/12*i**4 - 3*i**2 + 1/20*i**5 - 1/2*i**3 + 26*i - 1. Give n(-4).", "answer": "22"} | Let n(i) be the second derivative of 5/12*i**4 - 3*i**2 + 1/20*i**5 - 1/2*i**3 + 26*i - 1. Give n(-4). | 22 |
{"question": "What is the value of (4 - 3 - 8) + -10 + 14?", "answer": "-3"} | What is the value of (4 - 3 - 8) + -10 + 14? | -3 |
{"question": "Convert 0.3730038 years to months.", "answer": "4.4760456"} | Convert 0.3730038 years to months. | 4.4760456 |
{"question": "Sort -2, -4.2, 5, 2/17, -28.", "answer": "-28, -4.2, -2, 2/17, 5"} | Sort -2, -4.2, 5, 2/17, -28. | -28, -4.2, -2, 2/17, 5 |
{"question": "Work out 0.012164 * -1.9.", "answer": "-0.0231116"} | Work out 0.012164 * -1.9. | -0.0231116 |
{"question": "Divide -596 by -10533.", "answer": "596/10533"} | Divide -596 by -10533. | 596/10533 |
{"question": "Suppose -2*i + p = -4, -3*i + p + 0 + 6 = 0. Sort -3, i, -5 in increasing order.", "answer": "-5, -3, i"} | Suppose -2*i + p = -4, -3*i + p + 0 + 6 = 0. Sort -3, i, -5 in increasing order. | -5, -3, i |
{"question": "Let o(p) = 3*p**2 - 116*p + 12. Let m be o(40). Is 173 equal to m?", "answer": "False"} | Let o(p) = 3*p**2 - 116*p + 12. Let m be o(40). Is 173 equal to m? | False |
{"question": "Put together -0.0797753 and 2297357.", "answer": "2297356.9202247"} | Put together -0.0797753 and 2297357. | 2297356.9202247 |
{"question": "What are the prime factors of 269321?", "answer": "13, 20717"} | What are the prime factors of 269321? | 13, 20717 |
{"question": "Factor -4*f**4/3 + 3*f**3 + 10*f**2/3 - f.", "answer": "-f*(f - 3)*(f + 1)*(4*f - 1)/3"} | Factor -4*f**4/3 + 3*f**3 + 10*f**2/3 - f. | -f*(f - 3)*(f + 1)*(4*f - 1)/3 |
{"question": "Let d = 26134 - 26108. Solve 126 = -d*r + 40*r for r.", "answer": "9"} | Let d = 26134 - 26108. Solve 126 = -d*r + 40*r for r. | 9 |
{"question": "What is the next term in -11647, -11657, -11667?", "answer": "-11677"} | What is the next term in -11647, -11657, -11667? | -11677 |
{"question": "Calculate the remainder when 155761 is divided by 59.", "answer": "1"} | Calculate the remainder when 155761 is divided by 59. | 1 |
{"question": "What is 203 minutes after 5:33 PM?", "answer": "8:56 PM"} | What is 203 minutes after 5:33 PM? | 8:56 PM |
{"question": "Express -76*n**2 + 64*n**2 + 52*n**2 as g + r*n + w*n**2 and give w.", "answer": "40"} | Express -76*n**2 + 64*n**2 + 52*n**2 as g + r*n + w*n**2 and give w. | 40 |
{"question": "What is next in 281, 299, 315, 329, 341?", "answer": "351"} | What is next in 281, 299, 315, 329, 341? | 351 |
{"question": "Is ((-1677)/(-6))/(((-3)/2)/(-3)) prime?", "answer": "False"} | Is ((-1677)/(-6))/(((-3)/2)/(-3)) prime? | False |
{"question": "Let w(h) be the first derivative of 17*h**2 + h + 27. What is the units digit of w(2)?", "answer": "9"} | Let w(h) be the first derivative of 17*h**2 + h + 27. What is the units digit of w(2)? | 9 |
{"question": "Multiply -82.4 and -9.", "answer": "741.6"} | Multiply -82.4 and -9. | 741.6 |
{"question": "What is the j'th term of -53, -50, -33, 4, 67, 162?", "answer": "j**3 + j**2 - 7*j - 48"} | What is the j'th term of -53, -50, -33, 4, 67, 162? | j**3 + j**2 - 7*j - 48 |
{"question": "Suppose 18*g = 13*g + 255. What are the prime factors of g?", "answer": "3, 17"} | Suppose 18*g = 13*g + 255. What are the prime factors of g? | 3, 17 |
{"question": "What is the units digit of 3670740?", "answer": "0"} | What is the units digit of 3670740? | 0 |
{"question": "Solve 5*d = -5*x, 0 = -d - d - 4*x - 2 for d.", "answer": "1"} | Solve 5*d = -5*x, 0 = -d - d - 4*x - 2 for d. | 1 |
{"question": "What is 4*(6/(-48*1))/(3/(798/(-7)))?", "answer": "19"} | What is 4*(6/(-48*1))/(3/(798/(-7)))? | 19 |
{"question": "Convert 76.60219ml to litres.", "answer": "0.07660219"} | Convert 76.60219ml to litres. | 0.07660219 |
{"question": "Are -4/6083 and -1 non-equal?", "answer": "True"} | Are -4/6083 and -1 non-equal? | True |
{"question": "Suppose 0 = -o + 66 - 4. What is the tens digit of o?", "answer": "6"} | Suppose 0 = -o + 66 - 4. What is the tens digit of o? | 6 |
{"question": "In base 5, what is -1030243 + -4?", "answer": "-1030302"} | In base 5, what is -1030243 + -4? | -1030302 |
{"question": "Is 339316367 a multiple of 9?", "answer": "False"} | Is 339316367 a multiple of 9? | False |
{"question": "What is -0.3 plus 38882348472?", "answer": "38882348471.7"} | What is -0.3 plus 38882348472? | 38882348471.7 |
{"question": "What is 423 minutes after 4:27 PM?", "answer": "11:30 PM"} | What is 423 minutes after 4:27 PM? | 11:30 PM |
{"question": "Let s(i) = -2*i**2 + 53*i - 19. Calculate s(26).", "answer": "7"} | Let s(i) = -2*i**2 + 53*i - 19. Calculate s(26). | 7 |
{"question": "What is the f'th term of -51, -70, -89?", "answer": "-19*f - 32"} | What is the f'th term of -51, -70, -89? | -19*f - 32 |
{"question": "Does 13 divide 129617?", "answer": "False"} | Does 13 divide 129617? | False |
{"question": "Evaluate 18/81 - 256/(-36) - (-6)/(-18) - -36.", "answer": "43"} | Evaluate 18/81 - 256/(-36) - (-6)/(-18) - -36. | 43 |
{"question": "Rearrange 2370 - 1753 + 2*t**2 - 1158 to f + s*t + c*t**2 and give f.", "answer": "-541"} | Rearrange 2370 - 1753 + 2*t**2 - 1158 to f + s*t + c*t**2 and give f. | -541 |
{"question": "Let v(t) be the second derivative of -t**6/60 + 7*t**5/40 - 11*t**4/24 + 5*t**3/12 + 231*t. Determine c, given that v(c) = 0.", "answer": "0, 1, 5"} | Let v(t) be the second derivative of -t**6/60 + 7*t**5/40 - 11*t**4/24 + 5*t**3/12 + 231*t. Determine c, given that v(c) = 0. | 0, 1, 5 |
{"question": "Calculate -174.515*7.2.", "answer": "-1256.508"} | Calculate -174.515*7.2. | -1256.508 |
{"question": "Let h(w) = 2*w**5 + w**3 + w**2 + 2*w. Let j(b) = 11*b**5 - 50*b**4 + 72*b**3 + 42*b**2 - 73*b + 10. Let d(g) = -4*h(g) + 2*j(g). Find t, given that d(t) = 0.", "answer": "-1, 1/7, 1, 2, 5"} | Let h(w) = 2*w**5 + w**3 + w**2 + 2*w. Let j(b) = 11*b**5 - 50*b**4 + 72*b**3 + 42*b**2 - 73*b + 10. Let d(g) = -4*h(g) + 2*j(g). Find t, given that d(t) = 0. | -1, 1/7, 1, 2, 5 |
{"question": "Let v be (8/(-6))/(2/(-9)). Let x(f) = 9*f - 5. Let w(q) = 2*q**2 - 18*q - 3. What is the remainder when x(v) is divided by w(10)?", "answer": "15"} | Let v be (8/(-6))/(2/(-9)). Let x(f) = 9*f - 5. Let w(q) = 2*q**2 - 18*q - 3. What is the remainder when x(v) is divided by w(10)? | 15 |
{"question": "Let k be -5 + 23 + -1 + 1. List the prime factors of k/(-4)*24/(-18).", "answer": "2, 3"} | Let k be -5 + 23 + -1 + 1. List the prime factors of k/(-4)*24/(-18). | 2, 3 |
{"question": "Let y(q) = -58*q**3 - 17*q**2 + 17*q - 17. Let r(d) = -19*d**3 - 6*d**2 + 6*d - 6. What is 17*r(c) - 6*y(c)?", "answer": "25*c**3"} | Let y(q) = -58*q**3 - 17*q**2 + 17*q - 17. Let r(d) = -19*d**3 - 6*d**2 + 6*d - 6. What is 17*r(c) - 6*y(c)? | 25*c**3 |
{"question": "Solve -952*k + 900*k - 114631 = -1834*k + 13673 for k.", "answer": "72"} | Solve -952*k + 900*k - 114631 = -1834*k + 13673 for k. | 72 |
{"question": "Simplify m**(-8)*m*m**(1/5)*m*m/(m*m**(-7)/m)*m**(-1/3) assuming m is positive.", "answer": "m**(28/15)"} | Simplify m**(-8)*m*m**(1/5)*m*m/(m*m**(-7)/m)*m**(-1/3) assuming m is positive. | m**(28/15) |
{"question": "What is the distance between -7.7 and -0.547?", "answer": "7.153"} | What is the distance between -7.7 and -0.547? | 7.153 |
{"question": "Is 6922303 prime?", "answer": "False"} | Is 6922303 prime? | False |
{"question": "Solve 0 = y + 5*f - 100 + 77, 0 = -3*y + 3*f - 3 for y.", "answer": "3"} | Solve 0 = y + 5*f - 100 + 77, 0 = -3*y + 3*f - 3 for y. | 3 |
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