text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
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{"question": "Suppose -15*p + 2*j = -10*p - 146, 110 = 4*p - 5*j. Calculate the remainder when 4799 is divided by p.", "answer": "29"} | Suppose -15*p + 2*j = -10*p - 146, 110 = 4*p - 5*j. Calculate the remainder when 4799 is divided by p. | 29 |
{"question": "Expand -5*d**4 + 0*d**4 + 3*d**4 + (-3 + d + 3)*(d**2 - d**2 + d**3) + ((6*d + 27 - 27)*(-8*d + 9*d + 17*d) - 4*d**2 + d**2 + d**2)*(58 - 4*d**2 - 58).", "answer": "-425*d**4"} | Expand -5*d**4 + 0*d**4 + 3*d**4 + (-3 + d + 3)*(d**2 - d**2 + d**3) + ((6*d + 27 - 27)*(-8*d + 9*d + 17*d) - 4*d**2 + d**2 + d**2)*(58 - 4*d**2 - 58). | -425*d**4 |
{"question": "Let p be 3 + (0 + 4)/2. Suppose 0 = -3*k + p*g - 0*g + 41, 0 = 2*k + 5*g - 69. What is the remainder when 86 is divided by k?", "answer": "20"} | Let p be 3 + (0 + 4)/2. Suppose 0 = -3*k + p*g - 0*g + 41, 0 = 2*k + 5*g - 69. What is the remainder when 86 is divided by k? | 20 |
{"question": "What are the prime factors of 142361?", "answer": "29, 4909"} | What are the prime factors of 142361? | 29, 4909 |
{"question": "Find the third derivative of -383945*m**3*w + 519*m**2*w + 2*m**2 - m*w - 62*w wrt m.", "answer": "-2303670*w"} | Find the third derivative of -383945*m**3*w + 519*m**2*w + 2*m**2 - m*w - 62*w wrt m. | -2303670*w |
{"question": "What is the third derivative of 71*f**4 + 2*f**2 - 15 wrt f?", "answer": "1704*f"} | What is the third derivative of 71*f**4 + 2*f**2 - 15 wrt f? | 1704*f |
{"question": "What is 82996980 divided by 251506?", "answer": "330"} | What is 82996980 divided by 251506? | 330 |
{"question": "Let h(p) be the third derivative of -p**4/6 - p**3 - 29*p**2. Let g(r) = r + 2. Calculate 7*g(u) + 2*h(u).", "answer": "-u + 2"} | Let h(p) be the third derivative of -p**4/6 - p**3 - 29*p**2. Let g(r) = r + 2. Calculate 7*g(u) + 2*h(u). | -u + 2 |
{"question": "Is 14683 a composite number?", "answer": "False"} | Is 14683 a composite number? | False |
{"question": "Suppose -4*c + 4*l = -148, 11*c = 12*c - 5*l - 45. Calculate the remainder when 40/c + -1 + 68/14 is divided by 12/18*(-6)/(-4).", "answer": "0"} | Suppose -4*c + 4*l = -148, 11*c = 12*c - 5*l - 45. Calculate the remainder when 40/c + -1 + 68/14 is divided by 12/18*(-6)/(-4). | 0 |
{"question": "What is -2992236 divided by 78?", "answer": "-38362"} | What is -2992236 divided by 78? | -38362 |
{"question": "-38936 (base 12) to base 14", "answer": "-202a6"} | -38936 (base 12) to base 14 | -202a6 |
{"question": "Expand (3*j - 2*j**2 - 3*j)*(-3*j**2 - 3 + 3) + (j**4 - 2*j**4 - 4*j**4)*(-1 + 1 + 2).", "answer": "-4*j**4"} | Expand (3*j - 2*j**2 - 3*j)*(-3*j**2 - 3 + 3) + (j**4 - 2*j**4 - 4*j**4)*(-1 + 1 + 2). | -4*j**4 |
{"question": "Expand (-5 - 1 + 4)*(4*c + 0*c - c) - 7*c + c - c - 35*c - 195 + 195.", "answer": "-48*c"} | Expand (-5 - 1 + 4)*(4*c + 0*c - c) - 7*c + c - c - 35*c - 195 + 195. | -48*c |
{"question": "Round -0.00030347 to six decimal places.", "answer": "-0.000303"} | Round -0.00030347 to six decimal places. | -0.000303 |
{"question": "Let p = -2780 + 2787. Solve 2*g = 2*b + 12, -3*g - p = -3*b + 5*b for g.", "answer": "1"} | Let p = -2780 + 2787. Solve 2*g = 2*b + 12, -3*g - p = -3*b + 5*b for g. | 1 |
{"question": "Which is bigger: 1/794815864 or -1?", "answer": "1/794815864"} | Which is bigger: 1/794815864 or -1? | 1/794815864 |
{"question": "What is 890 - -40036?", "answer": "40926"} | What is 890 - -40036? | 40926 |
{"question": "How many micrometers are there in 1/16 of a meter?", "answer": "62500"} | How many micrometers are there in 1/16 of a meter? | 62500 |
{"question": "Calculate prob of sequence pvd when three letters picked without replacement from {p: 2, d: 1, v: 2, u: 2, s: 1}.", "answer": "1/84"} | Calculate prob of sequence pvd when three letters picked without replacement from {p: 2, d: 1, v: 2, u: 2, s: 1}. | 1/84 |
{"question": "Let s = 380 + -607. Let m = s + 1269. What are the prime factors of m?", "answer": "2, 521"} | Let s = 380 + -607. Let m = s + 1269. What are the prime factors of m? | 2, 521 |
{"question": "Calculate the remainder when 338590 is divided by 141.", "answer": "49"} | Calculate the remainder when 338590 is divided by 141. | 49 |
{"question": "Let g(m) = 36*m**2 + 24*m + 9. Let y(c) = -7*c**2 - 5*c - 2. Let u(q) = 5*g(q) + 24*y(q). Let j be (18/12)/((2 + -3)/2). What are the prime factors of u(j)?", "answer": "3, 5, 7"} | Let g(m) = 36*m**2 + 24*m + 9. Let y(c) = -7*c**2 - 5*c - 2. Let u(q) = 5*g(q) + 24*y(q). Let j be (18/12)/((2 + -3)/2). What are the prime factors of u(j)? | 3, 5, 7 |
{"question": "Collect the terms in -b**3 - 54 - 2*b**3 + 44.", "answer": "-3*b**3 - 10"} | Collect the terms in -b**3 - 54 - 2*b**3 + 44. | -3*b**3 - 10 |
{"question": "Let z(y) = y**2 + y. Let n(c) = -7*c**2 - 4*c - 2. Let s(h) = n(h) + 6*z(h). Let j(r) = 2*r**2 - 3*r + 3. Calculate 2*j(m) + 3*s(m).", "answer": "m**2"} | Let z(y) = y**2 + y. Let n(c) = -7*c**2 - 4*c - 2. Let s(h) = n(h) + 6*z(h). Let j(r) = 2*r**2 - 3*r + 3. Calculate 2*j(m) + 3*s(m). | m**2 |
{"question": "Find the common denominator of -87/50 and 11/14.", "answer": "350"} | Find the common denominator of -87/50 and 11/14. | 350 |
{"question": "What are the prime factors of 32167721?", "answer": "32167721"} | What are the prime factors of 32167721? | 32167721 |
{"question": "Let x be (8/(-5))/((-2)/10). Let z = -4 + x. Let d be (2*-3)/2 - 0. Put d, z, 5 in increasing order.", "answer": "d, z, 5"} | Let x be (8/(-5))/((-2)/10). Let z = -4 + x. Let d be (2*-3)/2 - 0. Put d, z, 5 in increasing order. | d, z, 5 |
{"question": "Find the common denominator of 16/25 and -31/60.", "answer": "300"} | Find the common denominator of 16/25 and -31/60. | 300 |
{"question": "Suppose -8*x - 35 = -15*x. Is (-2 + x)/((-10)/((-78290)/3)) a composite number?", "answer": "False"} | Suppose -8*x - 35 = -15*x. Is (-2 + x)/((-10)/((-78290)/3)) a composite number? | False |
{"question": "How many minutes are there between 1:55 PM and 10:35 PM?", "answer": "520"} | How many minutes are there between 1:55 PM and 10:35 PM? | 520 |
{"question": "Rearrange -1 + 0 - 13*f + 1 to the form n + q*f and give q.", "answer": "-13"} | Rearrange -1 + 0 - 13*f + 1 to the form n + q*f and give q. | -13 |
{"question": "Let z = -318 + 184. Let l = -70 - z. What is the greatest common divisor of l and 16?", "answer": "16"} | Let z = -318 + 184. Let l = -70 - z. What is the greatest common divisor of l and 16? | 16 |
{"question": "Let l = 68072 + -342922/5. Let g = l + 513. Find a, given that -3/5*a**2 + 0 + g*a**4 - 6/5*a + 6/5*a**3 = 0.", "answer": "-2, -1, 0, 1"} | Let l = 68072 + -342922/5. Let g = l + 513. Find a, given that -3/5*a**2 + 0 + g*a**4 - 6/5*a + 6/5*a**3 = 0. | -2, -1, 0, 1 |
{"question": "What is 251 minutes before 7:46 PM?", "answer": "3:35 PM"} | What is 251 minutes before 7:46 PM? | 3:35 PM |
{"question": "Let r(u) = u**2 + 11*u - 73. Determine r(-17).", "answer": "29"} | Let r(u) = u**2 + 11*u - 73. Determine r(-17). | 29 |
{"question": "Is 3454440445 a multiple of 779?", "answer": "True"} | Is 3454440445 a multiple of 779? | True |
{"question": "Let k = 0.8 - 0.4. Let p = -102 + 101.87. Let v = 0.07 - p. Sort k, v, 6 in increasing order.", "answer": "v, k, 6"} | Let k = 0.8 - 0.4. Let p = -102 + 101.87. Let v = 0.07 - p. Sort k, v, 6 in increasing order. | v, k, 6 |
{"question": "Three letters picked without replacement from mgililgzj. What is prob of sequence zji?", "answer": "1/252"} | Three letters picked without replacement from mgililgzj. What is prob of sequence zji? | 1/252 |
{"question": "Put together 2 and -16.925954.", "answer": "-14.925954"} | Put together 2 and -16.925954. | -14.925954 |
{"question": "Suppose -1699991 = 4*k - 6*k - 3*w, -2549997 = -3*k - w. Round k to the nearest one million.", "answer": "1000000"} | Suppose -1699991 = 4*k - 6*k - 3*w, -2549997 = -3*k - w. Round k to the nearest one million. | 1000000 |
{"question": "Is 244064591 prime?", "answer": "True"} | Is 244064591 prime? | True |
{"question": "41314111 (base 7) to base 11", "answer": "1a58125"} | 41314111 (base 7) to base 11 | 1a58125 |
{"question": "Suppose 0 = -7*z + 312 + 367. List the prime factors of z.", "answer": "97"} | Suppose 0 = -7*z + 312 + 367. List the prime factors of z. | 97 |
{"question": "What is the value of ((-18)/(-135))/(12/(-120))?", "answer": "-4/3"} | What is the value of ((-18)/(-135))/(12/(-120))? | -4/3 |
{"question": "Suppose -2*v - 451 = a - 1112, 4*a + 1620 = 5*v. Is v a multiple of 2?", "answer": "True"} | Suppose -2*v - 451 = a - 1112, 4*a + 1620 = 5*v. Is v a multiple of 2? | True |
{"question": "Simplify (sqrt(242)*-1*-5 + (-1 + sqrt(242))*1 + sqrt(242))**2.", "answer": "-154*sqrt(2) + 11859"} | Simplify (sqrt(242)*-1*-5 + (-1 + sqrt(242))*1 + sqrt(242))**2. | -154*sqrt(2) + 11859 |
{"question": "Convert 236 (base 15) to base 10.", "answer": "501"} | Convert 236 (base 15) to base 10. | 501 |
{"question": "Calculate 0 + 5 + (31 - 24) + -6.", "answer": "6"} | Calculate 0 + 5 + (31 - 24) + -6. | 6 |
{"question": "What is 7/2 of a decade in months?", "answer": "420"} | What is 7/2 of a decade in months? | 420 |
{"question": "What is -5*2*7/(105/6)?", "answer": "-4"} | What is -5*2*7/(105/6)? | -4 |
{"question": "Convert -1b0724 (base 12) to base 14.", "answer": "-c6284"} | Convert -1b0724 (base 12) to base 14. | -c6284 |
{"question": "Let m(u) = 0 + 1022760*u + 1 + 997241*u. Let r be m(5). Suppose r = n + 3*a, 3*a + 2*a = -2*n + 20200010. What is n rounded to the nearest one million?", "answer": "10000000"} | Let m(u) = 0 + 1022760*u + 1 + 997241*u. Let r be m(5). Suppose r = n + 3*a, 3*a + 2*a = -2*n + 20200010. What is n rounded to the nearest one million? | 10000000 |
{"question": "Suppose 5*v + 136 = -79. Let d = v + 48. Suppose -82 - 8 = -d*t. Is 14 a factor of t?", "answer": "False"} | Suppose 5*v + 136 = -79. Let d = v + 48. Suppose -82 - 8 = -d*t. Is 14 a factor of t? | False |
{"question": "What is 8 times 84.038?", "answer": "672.304"} | What is 8 times 84.038? | 672.304 |
{"question": "What is the next term in 3853, 30853, 104137, 246847, 482125?", "answer": "833113"} | What is the next term in 3853, 30853, 104137, 246847, 482125? | 833113 |
{"question": "Suppose -423 + 376 = -47*o. Suppose 3*x - 23 = -5*t, 28 = 4*x - 3*t - 22. What is the highest common divisor of x and o?", "answer": "1"} | Suppose -423 + 376 = -47*o. Suppose 3*x - 23 = -5*t, 28 = 4*x - 3*t - 22. What is the highest common divisor of x and o? | 1 |
{"question": "Suppose -13*j - 186 = -19*j. Solve 4*z - j = -4*o - 7, -4*o + 3*z = 11 for o.", "answer": "1"} | Suppose -13*j - 186 = -19*j. Solve 4*z - j = -4*o - 7, -4*o + 3*z = 11 for o. | 1 |
{"question": "In base 16, what is -5 - -207ff?", "answer": "207fa"} | In base 16, what is -5 - -207ff? | 207fa |
{"question": "Put -62, 0, -3, 66/13, 0.2, -167/3 in decreasing order.", "answer": "66/13, 0.2, 0, -3, -167/3, -62"} | Put -62, 0, -3, 66/13, 0.2, -167/3 in decreasing order. | 66/13, 0.2, 0, -3, -167/3, -62 |
{"question": "What is 1 - 1 - (-6 - -9)?", "answer": "-3"} | What is 1 - 1 - (-6 - -9)? | -3 |
{"question": "Suppose 0 = 5*a + 5*r - 40, -r + 6 + 11 = 4*a. Suppose i = a*i - 350. Is 7 a factor of i?", "answer": "True"} | Suppose 0 = 5*a + 5*r - 40, -r + 6 + 11 = 4*a. Suppose i = a*i - 350. Is 7 a factor of i? | True |
{"question": "Let d = 65 + -46. Let b be ((-2)/(-5))/((-1)/(-50)). Which is smaller: d or b?", "answer": "d"} | Let d = 65 + -46. Let b be ((-2)/(-5))/((-1)/(-50)). Which is smaller: d or b? | d |
{"question": "Let j = 5.040007051 + -5.04. Round j to 7 decimal places.", "answer": "0.0000071"} | Let j = 5.040007051 + -5.04. Round j to 7 decimal places. | 0.0000071 |
{"question": "Solve -294 = 878*w - 927*w for w.", "answer": "6"} | Solve -294 = 878*w - 927*w for w. | 6 |
{"question": "Factor -2*n**2 - 10128*n - 10126.", "answer": "-2*(n + 1)*(n + 5063)"} | Factor -2*n**2 - 10128*n - 10126. | -2*(n + 1)*(n + 5063) |
{"question": "Let f(q) be the second derivative of q**4/12 + 1118*q. Let p(g) = 3*g + 50. Calculate p(f(t)).", "answer": "3*t**2 + 50"} | Let f(q) be the second derivative of q**4/12 + 1118*q. Let p(g) = 3*g + 50. Calculate p(f(t)). | 3*t**2 + 50 |
{"question": "Is 7740077 prime?", "answer": "True"} | Is 7740077 prime? | True |
{"question": "What is -4 take away 1.0867856?", "answer": "-5.0867856"} | What is -4 take away 1.0867856? | -5.0867856 |
{"question": "Let r(t) = -t**2 + 3*t + 3. Suppose 2 - 22 = 4*s. Let m(x) = 1. Let n(l) = -l**3 + 10*l**2 + 10*l + 12. Let f be n(11). Let d(w) = f*r(w) + s*m(w). Factor d(y).", "answer": "-(y - 2)*(y - 1)"} | Let r(t) = -t**2 + 3*t + 3. Suppose 2 - 22 = 4*s. Let m(x) = 1. Let n(l) = -l**3 + 10*l**2 + 10*l + 12. Let f be n(11). Let d(w) = f*r(w) + s*m(w). Factor d(y). | -(y - 2)*(y - 1) |
{"question": "Is 4721 a prime number?", "answer": "True"} | Is 4721 a prime number? | True |
{"question": "Let z = -900 - -688. Let v be (102/8)/((-159)/z). Solve 0 = k - 0*k + r - 9, -5*r = -2*k - v for k.", "answer": "4"} | Let z = -900 - -688. Let v be (102/8)/((-159)/z). Solve 0 = k - 0*k + r - 9, -5*r = -2*k - v for k. | 4 |
{"question": "Does 127 divide 546?", "answer": "False"} | Does 127 divide 546? | False |
{"question": "Simplify ((j**2)**32/(j**0/j*j*j*j/(j**(-1)*j)*j))**(-5) assuming j is positive.", "answer": "j**(-305)"} | Simplify ((j**2)**32/(j**0/j*j*j*j/(j**(-1)*j)*j))**(-5) assuming j is positive. | j**(-305) |
{"question": "What is the product of 6.174 and 4.8?", "answer": "29.6352"} | What is the product of 6.174 and 4.8? | 29.6352 |
{"question": "Calculate the highest common divisor of 2177 and 2799.", "answer": "311"} | Calculate the highest common divisor of 2177 and 2799. | 311 |
{"question": "Factor -3570*v**2 + 3573*v - 3.", "answer": "-3*(v - 1)*(1190*v - 1)"} | Factor -3570*v**2 + 3573*v - 3. | -3*(v - 1)*(1190*v - 1) |
{"question": "Suppose -2*h + 4*s = 6*s - 2130, 2*s = -4. What is the units digit of h?", "answer": "7"} | Suppose -2*h + 4*s = 6*s - 2130, 2*s = -4. What is the units digit of h? | 7 |
{"question": "Let o = -3 + 5. Let x(t) = 2*t**3 + 2*t**2 - t - 2. Let z be x(o). Suppose k + k = z. Calculate the least common multiple of k and 7.", "answer": "70"} | Let o = -3 + 5. Let x(t) = 2*t**3 + 2*t**2 - t - 2. Let z be x(o). Suppose k + k = z. Calculate the least common multiple of k and 7. | 70 |
{"question": "Let p = -15384 - -25457. Is p composite?", "answer": "True"} | Let p = -15384 - -25457. Is p composite? | True |
{"question": "Factor -3*z**3/2 + 13293*z**2/4 - 6645*z/4.", "answer": "-3*z*(z - 2215)*(2*z - 1)/4"} | Factor -3*z**3/2 + 13293*z**2/4 - 6645*z/4. | -3*z*(z - 2215)*(2*z - 1)/4 |
{"question": "Is 477833 a prime number?", "answer": "False"} | Is 477833 a prime number? | False |
{"question": "Suppose 290 = 5*m - 1045. Suppose -3*j + m = 57. List the prime factors of (-6)/(-24) - j/(-8).", "answer": "3"} | Suppose 290 = 5*m - 1045. Suppose -3*j + m = 57. List the prime factors of (-6)/(-24) - j/(-8). | 3 |
{"question": "Express 9*m**3 - 261*m - 260*m + 526*m - 2*m**4 + 13*m**3 - 7 as u*m**3 + r + j*m**4 + i*m + c*m**2 and give j.", "answer": "-2"} | Express 9*m**3 - 261*m - 260*m + 526*m - 2*m**4 + 13*m**3 - 7 as u*m**3 + r + j*m**4 + i*m + c*m**2 and give j. | -2 |
{"question": "What is 0.000198594096 rounded to 7 decimal places?", "answer": "0.0001986"} | What is 0.000198594096 rounded to 7 decimal places? | 0.0001986 |
{"question": "Calculate -5 - (3 + (1 - 6)).", "answer": "-3"} | Calculate -5 - (3 + (1 - 6)). | -3 |
{"question": "Calculate -23 divided by -417879.", "answer": "23/417879"} | Calculate -23 divided by -417879. | 23/417879 |
{"question": "Let n be (-17)/(-3)*1*(5 - -10 - 18). Let z(y) = y - 6. What is z(n)?", "answer": "-23"} | Let n be (-17)/(-3)*1*(5 - -10 - 18). Let z(y) = y - 6. What is z(n)? | -23 |
{"question": "Is -460/55207 > 0?", "answer": "False"} | Is -460/55207 > 0? | False |
{"question": "Expand (174 + 1150 - 267)*(-2*l - 9*l + 3*l)*(-3 - 2*l**3 + 3).", "answer": "16912*l**4"} | Expand (174 + 1150 - 267)*(-2*l - 9*l + 3*l)*(-3 - 2*l**3 + 3). | 16912*l**4 |
{"question": "Let y(f) = -f + 23. What is y(17)?", "answer": "6"} | Let y(f) = -f + 23. What is y(17)? | 6 |
{"question": "What is 4 + 25001250346?", "answer": "25001250350"} | What is 4 + 25001250346? | 25001250350 |
{"question": "Simplify (d**(3/5)*d**5*d/(d*d**(-3/2)*d*d)*((d/d**(-6/7))/d)/d)/(d**4*d*d*d*d**(-1/8)*d*d*d**(7/5)/d*d/(d/d**(-3))) assuming d is positive.", "answer": "d**(-369/280)"} | Simplify (d**(3/5)*d**5*d/(d*d**(-3/2)*d*d)*((d/d**(-6/7))/d)/d)/(d**4*d*d*d*d**(-1/8)*d*d*d**(7/5)/d*d/(d/d**(-3))) assuming d is positive. | d**(-369/280) |
{"question": "Calculate the remainder when 286 is divided by 17.", "answer": "14"} | Calculate the remainder when 286 is divided by 17. | 14 |
{"question": "Let f(q) = -4*q. Let u(g) = 5*g**2 + 4*g + 4. Let a be 5 - -1*4/2. Let y = 7 + -3. Let n(v) = -9*v**2 - 7*v - 7. Let j(s) = a*u(s) + y*n(s). Give f(j(r)).", "answer": "4*r**2"} | Let f(q) = -4*q. Let u(g) = 5*g**2 + 4*g + 4. Let a be 5 - -1*4/2. Let y = 7 + -3. Let n(v) = -9*v**2 - 7*v - 7. Let j(s) = a*u(s) + y*n(s). Give f(j(r)). | 4*r**2 |
{"question": "Factor -4/3*y**4 + 1/3*y**5 + 2*y**3 - 4/3*y**2 + 0 + 1/3*y.", "answer": "y*(y - 1)**4/3"} | Factor -4/3*y**4 + 1/3*y**5 + 2*y**3 - 4/3*y**2 + 0 + 1/3*y. | y*(y - 1)**4/3 |
{"question": "Let d(o) = -8 + o + 40 + 4. What is the remainder when d(-18) is divided by 10?", "answer": "8"} | Let d(o) = -8 + o + 40 + 4. What is the remainder when d(-18) is divided by 10? | 8 |
{"question": "In base 13, what is -21520 - 0?", "answer": "-21520"} | In base 13, what is -21520 - 0? | -21520 |
{"question": "Which is the second biggest value? (a) -116071 (b) -23/9 (c) -4", "answer": "c"} | Which is the second biggest value? (a) -116071 (b) -23/9 (c) -4 | c |
{"question": "What is -6559 times 3226?", "answer": "-21159334"} | What is -6559 times 3226? | -21159334 |
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