text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
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{"question": "Let x(h) be the first derivative of -3*h**4/4 - h**3 + 15*h**2/2 - 9*h - 24. Factor x(y).", "answer": "-3*(y - 1)**2*(y + 3)"} | Let x(h) be the first derivative of -3*h**4/4 - h**3 + 15*h**2/2 - 9*h - 24. Factor x(y). | -3*(y - 1)**2*(y + 3) |
{"question": "What comes next: -4639, -12576, -25805, -44326, -68139, -97244?", "answer": "-131641"} | What comes next: -4639, -12576, -25805, -44326, -68139, -97244? | -131641 |
{"question": "-0.2*-74", "answer": "14.8"} | -0.2*-74 | 14.8 |
{"question": "Let m = 17 - -18. Is m composite?", "answer": "True"} | Let m = 17 - -18. Is m composite? | True |
{"question": "Let i be 165/33 - 1*(-1 - -2). Suppose 2*s = 4*s - i, -18 = -u - 3*s. What is the units digit of u?", "answer": "2"} | Let i be 165/33 - 1*(-1 - -2). Suppose 2*s = 4*s - i, -18 = -u - 3*s. What is the units digit of u? | 2 |
{"question": "How many minutes are there between 10:11 PM and 11:49 PM?", "answer": "98"} | How many minutes are there between 10:11 PM and 11:49 PM? | 98 |
{"question": "Factor -2*u**2/3 - 18*u + 56/3.", "answer": "-2*(u - 1)*(u + 28)/3"} | Factor -2*u**2/3 - 18*u + 56/3. | -2*(u - 1)*(u + 28)/3 |
{"question": "Is 2/169 < 106663?", "answer": "True"} | Is 2/169 < 106663? | True |
{"question": "Suppose 89*d - 16428280 = d. Is d composite?", "answer": "True"} | Suppose 89*d - 16428280 = d. Is d composite? | True |
{"question": "What is the i'th term of 36270624, 145082483, 326435580, 580329915?", "answer": "36270619*i**2 + 2*i + 3"} | What is the i'th term of 36270624, 145082483, 326435580, 580329915? | 36270619*i**2 + 2*i + 3 |
{"question": "0 + 4 + -7 + 8", "answer": "5"} | 0 + 4 + -7 + 8 | 5 |
{"question": "Round 0.000882490336 to 7 dps.", "answer": "0.0008825"} | Round 0.000882490336 to 7 dps. | 0.0008825 |
{"question": "Which is bigger: -541 or -1?", "answer": "-1"} | Which is bigger: -541 or -1? | -1 |
{"question": "Which is greater: -139838 or -139839?", "answer": "-139838"} | Which is greater: -139838 or -139839? | -139838 |
{"question": "Simplify ((z/z**(-17))/(z/z**(1/67)))**(-18) assuming z is positive.", "answer": "z**(-20520/67)"} | Simplify ((z/z**(-17))/(z/z**(1/67)))**(-18) assuming z is positive. | z**(-20520/67) |
{"question": "Calculate -12 + (-2 + 7 - -1) + (-27 - -69).", "answer": "36"} | Calculate -12 + (-2 + 7 - -1) + (-27 - -69). | 36 |
{"question": "Let v(f) = -f**3 + 17*f**2 + 24*f + 33. What are the prime factors of v(16)?", "answer": "673"} | Let v(f) = -f**3 + 17*f**2 + 24*f + 33. What are the prime factors of v(16)? | 673 |
{"question": "Factor 2*a**5/11 - 68*a**4/11.", "answer": "2*a**4*(a - 34)/11"} | Factor 2*a**5/11 - 68*a**4/11. | 2*a**4*(a - 34)/11 |
{"question": "Let f be -4 + (-404)/(-58) + -3. Suppose 5*u = -4*q - 7, -3*u - 10 = -u - 2*q. Let t be u/3*1/(-1). Is t < f?", "answer": "False"} | Let f be -4 + (-404)/(-58) + -3. Suppose 5*u = -4*q - 7, -3*u - 10 = -u - 2*q. Let t be u/3*1/(-1). Is t < f? | False |
{"question": "1364 divided by -682", "answer": "-2"} | 1364 divided by -682 | -2 |
{"question": "Let d(f) = -1922*f + 357447. Calculate d(186).", "answer": "-45"} | Let d(f) = -1922*f + 357447. Calculate d(186). | -45 |
{"question": "Solve 0 = -109*b + 25027 - 22084 for b.", "answer": "27"} | Solve 0 = -109*b + 25027 - 22084 for b. | 27 |
{"question": "Sort -47, -1, 14, 3 in increasing order.", "answer": "-47, -1, 3, 14"} | Sort -47, -1, 14, 3 in increasing order. | -47, -1, 3, 14 |
{"question": "Simplify -3*(sqrt(2) + (sqrt(16)/sqrt(2))**2 - (-1*sqrt(200))**2).", "answer": "-3*sqrt(2) + 576"} | Simplify -3*(sqrt(2) + (sqrt(16)/sqrt(2))**2 - (-1*sqrt(200))**2). | -3*sqrt(2) + 576 |
{"question": "88.1605453 - 0.02", "answer": "88.1405453"} | 88.1605453 - 0.02 | 88.1405453 |
{"question": "Calculate the remainder when 360 is divided by 122.", "answer": "116"} | Calculate the remainder when 360 is divided by 122. | 116 |
{"question": "Let s = 0.42 - 0.02. Let m be 2*-2 - (7 - 423/39). Sort s, 3, m.", "answer": "m, s, 3"} | Let s = 0.42 - 0.02. Let m be 2*-2 - (7 - 423/39). Sort s, 3, m. | m, s, 3 |
{"question": "What is the least common multiple of 20608 and 1572648?", "answer": "25162368"} | What is the least common multiple of 20608 and 1572648? | 25162368 |
{"question": "Suppose -20*m + 117 = 17. Find the third derivative of -4386*n**3 + n**4 - 1 + 4394*n**3 + m*n**2 + 4 wrt n.", "answer": "24*n + 48"} | Suppose -20*m + 117 = 17. Find the third derivative of -4386*n**3 + n**4 - 1 + 4394*n**3 + m*n**2 + 4 wrt n. | 24*n + 48 |
{"question": "Let p = -77 + 77. Factor -2/9*i**3 + 0*i + p - 2/9*i**4 + 0*i**2.", "answer": "-2*i**3*(i + 1)/9"} | Let p = -77 + 77. Factor -2/9*i**3 + 0*i + p - 2/9*i**4 + 0*i**2. | -2*i**3*(i + 1)/9 |
{"question": "Let l(r) be the second derivative of 7/12*r**4 - r**2 + 0 - 1/20*r**5 - 5/6*r**3 - 4*r. Let b be l(4). Calculate the highest common divisor of b and 104.", "answer": "26"} | Let l(r) be the second derivative of 7/12*r**4 - r**2 + 0 - 1/20*r**5 - 5/6*r**3 - 4*r. Let b be l(4). Calculate the highest common divisor of b and 104. | 26 |
{"question": "Sort 138, -2, 0, 3.", "answer": "-2, 0, 3, 138"} | Sort 138, -2, 0, 3. | -2, 0, 3, 138 |
{"question": "Let h be 0/((18/(-42))/(6/(-42))). Factor 1/2*g**5 + h + 0*g**4 + 0*g**2 + 1/2*g - g**3.", "answer": "g*(g - 1)**2*(g + 1)**2/2"} | Let h be 0/((18/(-42))/(6/(-42))). Factor 1/2*g**5 + h + 0*g**4 + 0*g**2 + 1/2*g - g**3. | g*(g - 1)**2*(g + 1)**2/2 |
{"question": "Calculate the common denominator of -29/30 and 145/42.", "answer": "210"} | Calculate the common denominator of -29/30 and 145/42. | 210 |
{"question": "Express (7 - 1 + 9)*(-4 + 4 - q)*(0 - 5 + 0) in the form i + r*q and give r.", "answer": "75"} | Express (7 - 1 + 9)*(-4 + 4 - q)*(0 - 5 + 0) in the form i + r*q and give r. | 75 |
{"question": "Simplify sqrt(60)/(6*(sqrt(12) + sqrt(60)/sqrt(5))).", "answer": "sqrt(5)/12"} | Simplify sqrt(60)/(6*(sqrt(12) + sqrt(60)/sqrt(5))). | sqrt(5)/12 |
{"question": "Calculate prob of picking 2 t, 1 e, and 1 m when four letters picked without replacement from {m: 4, t: 2, i: 3, u: 2, r: 2, e: 1}.", "answer": "4/1001"} | Calculate prob of picking 2 t, 1 e, and 1 m when four letters picked without replacement from {m: 4, t: 2, i: 3, u: 2, r: 2, e: 1}. | 4/1001 |
{"question": "What is the second derivative of 5426146*p**3 - 3*p**2 + 47664708*p?", "answer": "32556876*p - 6"} | What is the second derivative of 5426146*p**3 - 3*p**2 + 47664708*p? | 32556876*p - 6 |
{"question": "Let k(b) be the second derivative of b**3/6 + 4*b**2 - 41*b + 4. Give k(6).", "answer": "14"} | Let k(b) be the second derivative of b**3/6 + 4*b**2 - 41*b + 4. Give k(6). | 14 |
{"question": "What is the next term in -680025, -1360060, -2040105, -2720166, -3400249, -4080360, -4760505, -5440690?", "answer": "-6120921"} | What is the next term in -680025, -1360060, -2040105, -2720166, -3400249, -4080360, -4760505, -5440690? | -6120921 |
{"question": "What is 0.9095311 meters in centimeters?", "answer": "90.95311"} | What is 0.9095311 meters in centimeters? | 90.95311 |
{"question": "Let m(x) = -x**2 + 13*x - 9. Give m(7).", "answer": "33"} | Let m(x) = -x**2 + 13*x - 9. Give m(7). | 33 |
{"question": "What is the fourth root of 161645 to the nearest integer?", "answer": "20"} | What is the fourth root of 161645 to the nearest integer? | 20 |
{"question": "Solve -1631*v = -1887*v - 528 - 1776 for v.", "answer": "-9"} | Solve -1631*v = -1887*v - 528 - 1776 for v. | -9 |
{"question": "What comes next: -4870, -9817, -14746, -19651, -24526, -29365?", "answer": "-34162"} | What comes next: -4870, -9817, -14746, -19651, -24526, -29365? | -34162 |
{"question": "Does 141 divide 593092322?", "answer": "False"} | Does 141 divide 593092322? | False |
{"question": "List the prime factors of 4635.", "answer": "3, 5, 103"} | List the prime factors of 4635. | 3, 5, 103 |
{"question": "Let i = -61 - -65. Solve -i*f + 6 = 2 for f.", "answer": "1"} | Let i = -61 - -65. Solve -i*f + 6 = 2 for f. | 1 |
{"question": "Calculate the remainder when 6023 is divided by 35.", "answer": "3"} | Calculate the remainder when 6023 is divided by 35. | 3 |
{"question": "What is -0.867543 rounded to 2 dps?", "answer": "-0.87"} | What is -0.867543 rounded to 2 dps? | -0.87 |
{"question": "Is 112 greater than 23?", "answer": "True"} | Is 112 greater than 23? | True |
{"question": "Suppose 6*s - 3*s - 12 = 0. Suppose 3*z = 17 - 2. Suppose -2*i = -i - z. Solve 4*p + 2 = -i*w - 0*w, -s*w - 16 = -4*p for p.", "answer": "2"} | Suppose 6*s - 3*s - 12 = 0. Suppose 3*z = 17 - 2. Suppose -2*i = -i - z. Solve 4*p + 2 = -i*w - 0*w, -s*w - 16 = -4*p for p. | 2 |
{"question": "Simplify ((a**5*(a*a*(a/(a/(a*(a/(a**(2/19)*a))/a)*a))/a*a)/a*a)/(a**5/(a/(a*(a/a**(-7))/a))))**(2/39) assuming a is positive.", "answer": "a**(-232/741)"} | Simplify ((a**5*(a*a*(a/(a/(a*(a/(a**(2/19)*a))/a)*a))/a*a)/a*a)/(a**5/(a/(a*(a/a**(-7))/a))))**(2/39) assuming a is positive. | a**(-232/741) |
{"question": "Let w = -15 - -26. Suppose 0 = 4*n + w - 63. Which is bigger: 12 or n?", "answer": "n"} | Let w = -15 - -26. Suppose 0 = 4*n + w - 63. Which is bigger: 12 or n? | n |
{"question": "What is -2 - -19 - (37 - 43 - -3)?", "answer": "20"} | What is -2 - -19 - (37 - 43 - -3)? | 20 |
{"question": "Solve -297*o = -70 - 4385 for o.", "answer": "15"} | Solve -297*o = -70 - 4385 for o. | 15 |
{"question": "Let a(m) = 0 + 0 - m**2. Let o(v) = v**2 + 4*v - 3. Let l be o(-7). Let i(h) = 18 + h**2 - l. Give i(a(t)).", "answer": "t**4"} | Let a(m) = 0 + 0 - m**2. Let o(v) = v**2 + 4*v - 3. Let l be o(-7). Let i(h) = 18 + h**2 - l. Give i(a(t)). | t**4 |
{"question": "Let s**2 - 6394145*s + 6394144 = 0. Calculate s.", "answer": "1, 6394144"} | Let s**2 - 6394145*s + 6394144 = 0. Calculate s. | 1, 6394144 |
{"question": "Suppose -2*m = 2*m - 8. Suppose 3*n = 2*c + 3, -m*n = -5*c + n - 21. Suppose -d - 2*h = 17, -2*d - 158*h = -159*h + 9. Which is bigger: c or d?", "answer": "c"} | Suppose -2*m = 2*m - 8. Suppose 3*n = 2*c + 3, -m*n = -5*c + n - 21. Suppose -d - 2*h = 17, -2*d - 158*h = -159*h + 9. Which is bigger: c or d? | c |
{"question": "Multiply 17.8 and 10.", "answer": "178"} | Multiply 17.8 and 10. | 178 |
{"question": "What is the value of -3*5/70*(-2086)/(-894)?", "answer": "-1/2"} | What is the value of -3*5/70*(-2086)/(-894)? | -1/2 |
{"question": "How many years are there in 1/10 of a century?", "answer": "10"} | How many years are there in 1/10 of a century? | 10 |
{"question": "Let a = 1 - -1. Suppose 4*t + n - 20 = 0, -n - 2 = a. Suppose i - 2*i = 0. Solve -l + t*l - 10 = i for l.", "answer": "2"} | Let a = 1 - -1. Suppose 4*t + n - 20 = 0, -n - 2 = a. Suppose i - 2*i = 0. Solve -l + t*l - 10 = i for l. | 2 |
{"question": "Let y(q) = 2*q**2 - 59*q + 9. Calculate y(28).", "answer": "-75"} | Let y(q) = 2*q**2 - 59*q + 9. Calculate y(28). | -75 |
{"question": "Simplify (g/g**(-3/10)*g*g**(-10))**(1/20) assuming g is positive.", "answer": "g**(-77/200)"} | Simplify (g/g**(-3/10)*g*g**(-10))**(1/20) assuming g is positive. | g**(-77/200) |
{"question": "How many grams are there in 523530.3 nanograms?", "answer": "0.0005235303"} | How many grams are there in 523530.3 nanograms? | 0.0005235303 |
{"question": "Let k(u) = 25*u - 755. Let g(i) = -i + 28. Determine -55*g(m) - 2*k(m).", "answer": "5*m - 30"} | Let k(u) = 25*u - 755. Let g(i) = -i + 28. Determine -55*g(m) - 2*k(m). | 5*m - 30 |
{"question": "What is the third biggest value in 4, -4, 4121, 1/4, 5/4?", "answer": "5/4"} | What is the third biggest value in 4, -4, 4121, 1/4, 5/4? | 5/4 |
{"question": "List the prime factors of 13668.", "answer": "2, 3, 17, 67"} | List the prime factors of 13668. | 2, 3, 17, 67 |
{"question": "Which is smaller: -3856891/55 or -70125?", "answer": "-3856891/55"} | Which is smaller: -3856891/55 or -70125? | -3856891/55 |
{"question": "Suppose 22*n + 1182 + 688 = 0. What is the hundreds digit of 1 - 10 - (n + -577)?", "answer": "6"} | Suppose 22*n + 1182 + 688 = 0. What is the hundreds digit of 1 - 10 - (n + -577)? | 6 |
{"question": "What is next in 57603, 57601, 57599, 57597, 57595, 57593?", "answer": "57591"} | What is next in 57603, 57601, 57599, 57597, 57595, 57593? | 57591 |
{"question": "What is prob of picking 4 h when four letters picked without replacement from oooohhohohohoohooo?", "answer": "1/204"} | What is prob of picking 4 h when four letters picked without replacement from oooohhohohohoohooo? | 1/204 |
{"question": "-7988403 divided by -831", "answer": "9613"} | -7988403 divided by -831 | 9613 |
{"question": "Simplify (-1 + (-4 + (sqrt(432)*-1 + sqrt(432))**2 - (sqrt(432) + -2 + 4)))*5*-5.", "answer": "175 + 300*sqrt(3)"} | Simplify (-1 + (-4 + (sqrt(432)*-1 + sqrt(432))**2 - (sqrt(432) + -2 + 4)))*5*-5. | 175 + 300*sqrt(3) |
{"question": "Which is smaller: 290.9 or 69?", "answer": "69"} | Which is smaller: 290.9 or 69? | 69 |
{"question": "Sort 8, -384, 202 in descending order.", "answer": "202, 8, -384"} | Sort 8, -384, 202 in descending order. | 202, 8, -384 |
{"question": "Suppose -3*l**5/4 + 9*l**4/2 + 75*l**3 + 126*l**2 = 0. What is l?", "answer": "-6, -2, 0, 14"} | Suppose -3*l**5/4 + 9*l**4/2 + 75*l**3 + 126*l**2 = 0. What is l? | -6, -2, 0, 14 |
{"question": "What is 54 minutes after 8:46 PM?", "answer": "9:40 PM"} | What is 54 minutes after 8:46 PM? | 9:40 PM |
{"question": "Suppose 0 = -5*v - 20, i = -0*i + 3*v - 27. Calculate the common denominator of -37/11 and i/(-1) - 9/(-3).", "answer": "11"} | Suppose 0 = -5*v - 20, i = -0*i + 3*v - 27. Calculate the common denominator of -37/11 and i/(-1) - 9/(-3). | 11 |
{"question": "What is the square root of 281380 to the nearest integer?", "answer": "530"} | What is the square root of 281380 to the nearest integer? | 530 |
{"question": "Expand (-1 + 168*i**2 - 1388*i**2 + 1200*i**2 - 28*i**3)*((5 + 0 - 3)*(2 - 2 - i) + i + i - 3*i).", "answer": "84*i**4 + 60*i**3 + 3*i"} | Expand (-1 + 168*i**2 - 1388*i**2 + 1200*i**2 - 28*i**3)*((5 + 0 - 3)*(2 - 2 - i) + i + i - 3*i). | 84*i**4 + 60*i**3 + 3*i |
{"question": "In base 13, what is -2c - -321?", "answer": "2c2"} | In base 13, what is -2c - -321? | 2c2 |
{"question": "What is -10313 (base 4) in base 13?", "answer": "-1ac"} | What is -10313 (base 4) in base 13? | -1ac |
{"question": "What is -76 (base 9) in base 5?", "answer": "-234"} | What is -76 (base 9) in base 5? | -234 |
{"question": "Round -154.5839 to 0 decimal places.", "answer": "-155"} | Round -154.5839 to 0 decimal places. | -155 |
{"question": "Simplify (n**(2/9))**(-28)/((n**(1/9)/n)/n**(1/10)) assuming n is positive.", "answer": "n**(-157/30)"} | Simplify (n**(2/9))**(-28)/((n**(1/9)/n)/n**(1/10)) assuming n is positive. | n**(-157/30) |
{"question": "Let s = 286 + -286.0000314. Round s to 6 decimal places.", "answer": "-0.000031"} | Let s = 286 + -286.0000314. Round s to 6 decimal places. | -0.000031 |
{"question": "Let n = -14.5 - 1.3. Let l = 16.1 + n. What is the third smallest value in l, 5, 0.7?", "answer": "5"} | Let n = -14.5 - 1.3. Let l = 16.1 + n. What is the third smallest value in l, 5, 0.7? | 5 |
{"question": "What is the a'th term of -116444, -116470, -116496?", "answer": "-26*a - 116418"} | What is the a'th term of -116444, -116470, -116496? | -26*a - 116418 |
{"question": "What is the remainder when 1263113 is divided by 157887?", "answer": "17"} | What is the remainder when 1263113 is divided by 157887? | 17 |
{"question": "Convert 160 (base 9) to base 16.", "answer": "87"} | Convert 160 (base 9) to base 16. | 87 |
{"question": "Let n = 61.1 + -62.1. Which is bigger: 395 or n?", "answer": "395"} | Let n = 61.1 + -62.1. Which is bigger: 395 or n? | 395 |
{"question": "Let r be (-6)/9*(-18)/4. What is the common denominator of -81/22 and r/(-39)*22/4?", "answer": "286"} | Let r be (-6)/9*(-18)/4. What is the common denominator of -81/22 and r/(-39)*22/4? | 286 |
{"question": "-0.2 * 0.0197", "answer": "-0.00394"} | -0.2 * 0.0197 | -0.00394 |
{"question": "Let z(a) = a - 3. Let o be z(7). Suppose 2*m - 4*p = -799996, 0 = m - 2*m - o*p - 400004. Round m to the nearest one hundred thousand.", "answer": "-400000"} | Let z(a) = a - 3. Let o be z(7). Suppose 2*m - 4*p = -799996, 0 = m - 2*m - o*p - 400004. Round m to the nearest one hundred thousand. | -400000 |
{"question": "Expand (0*w - 2*w + w)*(-2 - 4 + 2)*(-23 - 19 + 74 + (3 + 0 - 1)*(0 - 2 + 1)).", "answer": "120*w"} | Expand (0*w - 2*w + w)*(-2 - 4 + 2)*(-23 - 19 + 74 + (3 + 0 - 1)*(0 - 2 + 1)). | 120*w |
{"question": "Is -39979 greater than -36756?", "answer": "False"} | Is -39979 greater than -36756? | False |
{"question": "Let n(k) = k**3 - 14*k**2 - 13*k - 26. Let x = 59 + -44. Let i be n(x). Let d = 72 - 69. Solve -i*m = -d*q + 1, 4*q = -3*m - q - 37 for m.", "answer": "-4"} | Let n(k) = k**3 - 14*k**2 - 13*k - 26. Let x = 59 + -44. Let i be n(x). Let d = 72 - 69. Solve -i*m = -d*q + 1, 4*q = -3*m - q - 37 for m. | -4 |
{"question": "Let q = 0 - -3. Let p = -10 - -11. Suppose -i - p = -0*i + d, -i + 5*d = -23. Solve q - 8 = b, 5*w = i*b + 40 for w.", "answer": "5"} | Let q = 0 - -3. Let p = -10 - -11. Suppose -i - p = -0*i + d, -i + 5*d = -23. Solve q - 8 = b, 5*w = i*b + 40 for w. | 5 |
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