text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Let m(q) be the third derivative of -q**6/24 + q**3/6 - 9*q**2. Give m(1).", "answer": "-4"} | Let m(q) be the third derivative of -q**6/24 + q**3/6 - 9*q**2. Give m(1). | -4 |
{"question": "Let q = -4 + 2. Let m be (-1 - -1) + 5 + q. Let b(s) = 0 + s + m - 5 - s**2 - 2*s. Calculate b(-4).", "answer": "-14"} | Let q = -4 + 2. Let m be (-1 - -1) + 5 + q. Let b(s) = 0 + s + m - 5 - s**2 - 2*s. Calculate b(-4). | -14 |
{"question": "Let l(j) = -2 - 5 - 2*j + 0*j. Let o be l(-6). Suppose -o*v - 5*g + 60 = 0, -2*v - g + 12 = -7. What is the units digit of v?", "answer": "7"} | Let l(j) = -2 - 5 - 2*j + 0*j. Let o be l(-6). Suppose -o*v - 5*g + 60 = 0, -2*v - g + 12 = -7. What is the units digit of v? | 7 |
{"question": "Which is the closest to 15? (a) -2 (b) -81242 (c) 1/2 (d) 0.2 (e) -1", "answer": "c"} | Which is the closest to 15? (a) -2 (b) -81242 (c) 1/2 (d) 0.2 (e) -1 | c |
{"question": "(10 - (-97 + 39)) + -8 + 14", "answer": "74"} | (10 - (-97 + 39)) + -8 + 14 | 74 |
{"question": "Express 330 - 116*h**2 - 330 as t + y*h + q*h**2 and give q.", "answer": "-116"} | Express 330 - 116*h**2 - 330 as t + y*h + q*h**2 and give q. | -116 |
{"question": "What is next in -111182, -111183, -111184, -111185, -111186?", "answer": "-111187"} | What is next in -111182, -111183, -111184, -111185, -111186? | -111187 |
{"question": "Suppose 5*k - 4271 + 871 = 0. Let c = -256 - k. Calculate the remainder when 82 is divided by 1/5 - c/45.", "answer": "19"} | Suppose 5*k - 4271 + 871 = 0. Let c = -256 - k. Calculate the remainder when 82 is divided by 1/5 - c/45. | 19 |
{"question": "What is the next term in 5237, 5479, 5721, 5963, 6205?", "answer": "6447"} | What is the next term in 5237, 5479, 5721, 5963, 6205? | 6447 |
{"question": "What is the third smallest value in -5, -0.1, 0.3, 0.07?", "answer": "0.07"} | What is the third smallest value in -5, -0.1, 0.3, 0.07? | 0.07 |
{"question": "What are the prime factors of 23767?", "answer": "23767"} | What are the prime factors of 23767? | 23767 |
{"question": "What is the units digit of 38799?", "answer": "9"} | What is the units digit of 38799? | 9 |
{"question": "Simplify -1 + -3 + (0 + sqrt(704))**2.", "answer": "700"} | Simplify -1 + -3 + (0 + sqrt(704))**2. | 700 |
{"question": "Let b(a) = -2 + 0*a + a + a + a. Let d be b(1). Solve d + 0 = -v for v.", "answer": "-1"} | Let b(a) = -2 + 0*a + a + a + a. Let d be b(1). Solve d + 0 = -v for v. | -1 |
{"question": "What comes next: 99, 92, 81, 66, 47, 24, -3?", "answer": "-34"} | What comes next: 99, 92, 81, 66, 47, 24, -3? | -34 |
{"question": "Let r = -0.3024 - 0.0976. Let m be (3 - (-38)/(-10))/2. Which is the closest to m? (a) -0.2 (b) -18 (c) r", "answer": "c"} | Let r = -0.3024 - 0.0976. Let m be (3 - (-38)/(-10))/2. Which is the closest to m? (a) -0.2 (b) -18 (c) r | c |
{"question": "Suppose 0 = -5*d + 3*p - 9, 3*d + 3*p = -p - 17. Let a(x) = x**2 - 1. Let i be a(d). Suppose -j = j - i. List the prime factors of j.", "answer": "2"} | Suppose 0 = -5*d + 3*p - 9, 3*d + 3*p = -p - 17. Let a(x) = x**2 - 1. Let i be a(d). Suppose -j = j - i. List the prime factors of j. | 2 |
{"question": "Rearrange (7 - 7 + 4*m)*(-m**2 - 2 + 2) + (-2*m**2 - 1 + 1)*(2*m + 6*m + 2*m) to the form h*m**2 + u*m + q + p*m**3 and give h.", "answer": "0"} | Rearrange (7 - 7 + 4*m)*(-m**2 - 2 + 2) + (-2*m**2 - 1 + 1)*(2*m + 6*m + 2*m) to the form h*m**2 + u*m + q + p*m**3 and give h. | 0 |
{"question": "What is the fourth root of 38207968 to the nearest integer?", "answer": "79"} | What is the fourth root of 38207968 to the nearest integer? | 79 |
{"question": "What is the f'th term of -158, -185, -240, -329, -458, -633?", "answer": "-f**3 - 8*f**2 + 4*f - 153"} | What is the f'th term of -158, -185, -240, -329, -458, -633? | -f**3 - 8*f**2 + 4*f - 153 |
{"question": "What is the common denominator of -67/14 and -21/8?", "answer": "56"} | What is the common denominator of -67/14 and -21/8? | 56 |
{"question": "Let b = -1330 - -1441. Solve -b = -21*c - 27 for c.", "answer": "4"} | Let b = -1330 - -1441. Solve -b = -21*c - 27 for c. | 4 |
{"question": "What is the tens digit of 41143889?", "answer": "8"} | What is the tens digit of 41143889? | 8 |
{"question": "What is the hundreds digit of 1194?", "answer": "1"} | What is the hundreds digit of 1194? | 1 |
{"question": "How many minutes are there between 1:44 PM and 11:32 PM?", "answer": "588"} | How many minutes are there between 1:44 PM and 11:32 PM? | 588 |
{"question": "Let g(s) = 19*s**2. Let c(n) be the second derivative of 0*n**2 + 0*n**3 + 10*n + 0 + 1/6*n**4. Calculate c(g(f)).", "answer": "722*f**4"} | Let g(s) = 19*s**2. Let c(n) be the second derivative of 0*n**2 + 0*n**3 + 10*n + 0 + 1/6*n**4. Calculate c(g(f)). | 722*f**4 |
{"question": "What is 92 minutes after 5:21 AM?", "answer": "6:53 AM"} | What is 92 minutes after 5:21 AM? | 6:53 AM |
{"question": "What comes next: -592, -4704, -15860, -37582, -73392?", "answer": "-126812"} | What comes next: -592, -4704, -15860, -37582, -73392? | -126812 |
{"question": "Find the common denominator of 125/9024 and -79/1682.", "answer": "7589184"} | Find the common denominator of 125/9024 and -79/1682. | 7589184 |
{"question": "Suppose -2*r + 2*i + 3112 = 0, -5803*i + 30 = -5798*i. What is the greatest common factor of r and 4118?", "answer": "142"} | Suppose -2*r + 2*i + 3112 = 0, -5803*i + 30 = -5798*i. What is the greatest common factor of r and 4118? | 142 |
{"question": "Is 32538434953 a composite number?", "answer": "False"} | Is 32538434953 a composite number? | False |
{"question": "Two letters picked without replacement from {r: 1, h: 1, w: 1, x: 9}. What is prob of picking 1 h and 1 x?", "answer": "3/22"} | Two letters picked without replacement from {r: 1, h: 1, w: 1, x: 9}. What is prob of picking 1 h and 1 x? | 3/22 |
{"question": "Solve -2589*h + 7 = -2596*h for h.", "answer": "-1"} | Solve -2589*h + 7 = -2596*h for h. | -1 |
{"question": "Calculate the lowest common multiple of 8 and (-3*5)/((-12)/24).", "answer": "120"} | Calculate the lowest common multiple of 8 and (-3*5)/((-12)/24). | 120 |
{"question": "Suppose -5*m - 2*w = -315, -4*m - w = -3*w - 252. What is the units digit of m?", "answer": "3"} | Suppose -5*m - 2*w = -315, -4*m - w = -3*w - 252. What is the units digit of m? | 3 |
{"question": "Let j = 6396656 - 11763656. Round j to the nearest 100000.", "answer": "-5400000"} | Let j = 6396656 - 11763656. Round j to the nearest 100000. | -5400000 |
{"question": "5155253 (base 6) to base 12", "answer": "bbb29"} | 5155253 (base 6) to base 12 | bbb29 |
{"question": "What is next in -2148, -4356, -6552, -8730, -10884?", "answer": "-13008"} | What is next in -2148, -4356, -6552, -8730, -10884? | -13008 |
{"question": "Simplify sqrt(20) + 0 + -5.", "answer": "-5 + 2*sqrt(5)"} | Simplify sqrt(20) + 0 + -5. | -5 + 2*sqrt(5) |
{"question": "In base 16, what is -5 - 1d2d5e?", "answer": "-1d2d63"} | In base 16, what is -5 - 1d2d5e? | -1d2d63 |
{"question": "What is ((-9)/((-135)/2))/(((-210)/765)/(-7))?", "answer": "17/5"} | What is ((-9)/((-135)/2))/(((-210)/765)/(-7))? | 17/5 |
{"question": "Let n be (12/3 - -2)/(-2). Let z be n + (-8638)/2784 + 1. Let j = z + -40/87. Find the common denominator of -29/4 and j.", "answer": "16"} | Let n be (12/3 - -2)/(-2). Let z be n + (-8638)/2784 + 1. Let j = z + -40/87. Find the common denominator of -29/4 and j. | 16 |
{"question": "Let v(a) be the third derivative of -3*a**5/10 + 11*a**4/12 - 2*a**3/3 - 19*a**2. Suppose v(j) = 0. Calculate j.", "answer": "2/9, 1"} | Let v(a) be the third derivative of -3*a**5/10 + 11*a**4/12 - 2*a**3/3 - 19*a**2. Suppose v(j) = 0. Calculate j. | 2/9, 1 |
{"question": "Let d = 255.8 - 216. Let p = -40 + d. What is the second biggest value in p, -0.1, 1?", "answer": "-0.1"} | Let d = 255.8 - 216. Let p = -40 + d. What is the second biggest value in p, -0.1, 1? | -0.1 |
{"question": "Collect the terms in -31 - 148*q**2 - 737*q**2 + 31.", "answer": "-885*q**2"} | Collect the terms in -31 - 148*q**2 - 737*q**2 + 31. | -885*q**2 |
{"question": "Calculate the remainder when 736 is divided by 41.", "answer": "39"} | Calculate the remainder when 736 is divided by 41. | 39 |
{"question": "Suppose 3*u + u + 2*v = 0, u = -5*v. Let g(x) be the third derivative of x**4/12 + x**3/6 + 21*x**2. Let p be g(u). Which is bigger: -3/8 or p?", "answer": "p"} | Suppose 3*u + u + 2*v = 0, u = -5*v. Let g(x) be the third derivative of x**4/12 + x**3/6 + 21*x**2. Let p be g(u). Which is bigger: -3/8 or p? | p |
{"question": "Simplify (-1 + 1 + sqrt(1053))*4.", "answer": "36*sqrt(13)"} | Simplify (-1 + 1 + sqrt(1053))*4. | 36*sqrt(13) |
{"question": "What is the hundreds digit of 4987976429?", "answer": "4"} | What is the hundreds digit of 4987976429? | 4 |
{"question": "Let v be 60388/6 - 6/9. Suppose -12*h + 1396 = -v. Is h composite?", "answer": "True"} | Let v be 60388/6 - 6/9. Suppose -12*h + 1396 = -v. Is h composite? | True |
{"question": "What is 0.522919 rounded to 2 decimal places?", "answer": "0.52"} | What is 0.522919 rounded to 2 decimal places? | 0.52 |
{"question": "Let x(n) = 6*n**2 - 1. Let o(u) = -29 + 29 + 2403*u**2 - 2399*u**2. Give -5*o(r) + 4*x(r).", "answer": "4*r**2 - 4"} | Let x(n) = 6*n**2 - 1. Let o(u) = -29 + 29 + 2403*u**2 - 2399*u**2. Give -5*o(r) + 4*x(r). | 4*r**2 - 4 |
{"question": "Convert 34 (base 8) to base 12.", "answer": "24"} | Convert 34 (base 8) to base 12. | 24 |
{"question": "How many years are there in fifty-three fifths of a millennium?", "answer": "10600"} | How many years are there in fifty-three fifths of a millennium? | 10600 |
{"question": "Let b be ((-11)/(-22))/((-2)/(-12)) - 9. Let k be (30/840)/(b + -1). Which is smaller: k or 0?", "answer": "k"} | Let b be ((-11)/(-22))/((-2)/(-12)) - 9. Let k be (30/840)/(b + -1). Which is smaller: k or 0? | k |
{"question": "Let j(i) be the third derivative of -i**8/10080 + i**7/1260 - i**6/360 - 2*i**5/15 + 2*i**2. Let b(a) be the third derivative of j(a). Factor b(y).", "answer": "-2*(y - 1)**2"} | Let j(i) be the third derivative of -i**8/10080 + i**7/1260 - i**6/360 - 2*i**5/15 + 2*i**2. Let b(a) be the third derivative of j(a). Factor b(y). | -2*(y - 1)**2 |
{"question": "How many minutes are there between 11:57 PM and 5:25 AM?", "answer": "328"} | How many minutes are there between 11:57 PM and 5:25 AM? | 328 |
{"question": "Let j(s) = s**3 - 27*s**2 + 246*s - 1292. Give j(17).", "answer": "0"} | Let j(s) = s**3 - 27*s**2 + 246*s - 1292. Give j(17). | 0 |
{"question": "In base 13, what is -45 - -56?", "answer": "11"} | In base 13, what is -45 - -56? | 11 |
{"question": "Let i = -2 - -12. Suppose -16 = -3*u - 4*d, 2*u - 5*d - 34 = -31. Calculate the remainder when i is divided by u.", "answer": "2"} | Let i = -2 - -12. Suppose -16 = -3*u - 4*d, 2*u - 5*d - 34 = -31. Calculate the remainder when i is divided by u. | 2 |
{"question": "Which is smaller: 17 or 23?", "answer": "17"} | Which is smaller: 17 or 23? | 17 |
{"question": "What is five eighths of a microgram in nanograms?", "answer": "625"} | What is five eighths of a microgram in nanograms? | 625 |
{"question": "Simplify (h**(-4)*h)/(((h**(-1/28)/h)/h*h)/h)*(h/((h/((h*h/(h**(-2/93)/h))/h))/h)*h)/h*h/(h*h**(4/17)) assuming h is positive.", "answer": "h**(80653/44268)"} | Simplify (h**(-4)*h)/(((h**(-1/28)/h)/h*h)/h)*(h/((h/((h*h/(h**(-2/93)/h))/h))/h)*h)/h*h/(h*h**(4/17)) assuming h is positive. | h**(80653/44268) |
{"question": "Solve -5*c - 10*f - 165 = 0, 75 = 12*c - 11*c - 4*f for c.", "answer": "3"} | Solve -5*c - 10*f - 165 = 0, 75 = 12*c - 11*c - 4*f for c. | 3 |
{"question": "List the prime factors of 282359270.", "answer": "2, 5, 23, 1227649"} | List the prime factors of 282359270. | 2, 5, 23, 1227649 |
{"question": "What is the highest common factor of 431531 and 218?", "answer": "109"} | What is the highest common factor of 431531 and 218? | 109 |
{"question": "Suppose 0 = -4*n - 3*i - i + 500, -643 = -5*n + i. Calculate the lowest common multiple of n and 128.", "answer": "128"} | Suppose 0 = -4*n - 3*i - i + 500, -643 = -5*n + i. Calculate the lowest common multiple of n and 128. | 128 |
{"question": "Which is greater: 1942225 or 1942196?", "answer": "1942225"} | Which is greater: 1942225 or 1942196? | 1942225 |
{"question": "Let c(l) = -5*l**3 - 92*l**2 - 4*l + 2. Let k(v) = -2*v**3 - 2*v + 1. Give c(y) - 2*k(y).", "answer": "-y**3 - 92*y**2"} | Let c(l) = -5*l**3 - 92*l**2 - 4*l + 2. Let k(v) = -2*v**3 - 2*v + 1. Give c(y) - 2*k(y). | -y**3 - 92*y**2 |
{"question": "How many minutes are there between 5:00 AM and 7:12 AM?", "answer": "132"} | How many minutes are there between 5:00 AM and 7:12 AM? | 132 |
{"question": "Let l(r) = 443*r**2 - 27342*r + 27341. Calculate l(1).", "answer": "442"} | Let l(r) = 443*r**2 - 27342*r + 27341. Calculate l(1). | 442 |
{"question": "What is the second derivative of 3*n**2*r**2 + 2*n**2*r - 1849*n**2 + 123*n*r**3 wrt r?", "answer": "6*n**2 + 738*n*r"} | What is the second derivative of 3*n**2*r**2 + 2*n**2*r - 1849*n**2 + 123*n*r**3 wrt r? | 6*n**2 + 738*n*r |
{"question": "Which is smaller: -21075 or -21074?", "answer": "-21075"} | Which is smaller: -21075 or -21074? | -21075 |
{"question": "What is the millions digit of 1055996?", "answer": "1"} | What is the millions digit of 1055996? | 1 |
{"question": "In base 3, what is -2211122000210220 - -10?", "answer": "-2211122000210210"} | In base 3, what is -2211122000210220 - -10? | -2211122000210210 |
{"question": "Express 2*t + 7 - 79*t**2 + t + t + 76*t**2 as f*t + z + v*t**2 and give v.", "answer": "-3"} | Express 2*t + 7 - 79*t**2 + t + t + 76*t**2 as f*t + z + v*t**2 and give v. | -3 |
{"question": "Simplify 0 + sqrt(19) + -3 + 1.", "answer": "-2 + sqrt(19)"} | Simplify 0 + sqrt(19) + -3 + 1. | -2 + sqrt(19) |
{"question": "Does 7 divide 5860?", "answer": "False"} | Does 7 divide 5860? | False |
{"question": "Suppose 5*m + 2*w + 42 = 0, 0*m - 4*m - 29 = -3*w. Let u be -2 + 7 + (m - -6). Suppose -3*r + u*z - 8*z = -89, 3*z = 5*r - 137. Does 7 divide r?", "answer": "True"} | Suppose 5*m + 2*w + 42 = 0, 0*m - 4*m - 29 = -3*w. Let u be -2 + 7 + (m - -6). Suppose -3*r + u*z - 8*z = -89, 3*z = 5*r - 137. Does 7 divide r? | True |
{"question": "Let 3*g**4/7 - 12*g**3/7 - 48*g**2/7 + 48*g/7 + 144/7 = 0. Calculate g.", "answer": "-2, 2, 6"} | Let 3*g**4/7 - 12*g**3/7 - 48*g**2/7 + 48*g/7 + 144/7 = 0. Calculate g. | -2, 2, 6 |
{"question": "Is 839 a multiple of 110?", "answer": "False"} | Is 839 a multiple of 110? | False |
{"question": "What is ((4/35)/((-21)/(-49)))/(65/((-9100)/(-4872)))?", "answer": "2/261"} | What is ((4/35)/((-21)/(-49)))/(65/((-9100)/(-4872)))? | 2/261 |
{"question": "What is 490 minutes after 4:27 PM?", "answer": "12:37 AM"} | What is 490 minutes after 4:27 PM? | 12:37 AM |
{"question": "Simplify (sqrt(7)*3*2 - sqrt(7)) + sqrt(7)*4 + -3.", "answer": "-3 + 9*sqrt(7)"} | Simplify (sqrt(7)*3*2 - sqrt(7)) + sqrt(7)*4 + -3. | -3 + 9*sqrt(7) |
{"question": "Suppose -90 = -0*y + 2*y + 2*m, -4*y = 3*m + 178. Does 22 divide (3 + 0)/3 - y?", "answer": "True"} | Suppose -90 = -0*y + 2*y + 2*m, -4*y = 3*m + 178. Does 22 divide (3 + 0)/3 - y? | True |
{"question": "What is the billions digit of 3803564313?", "answer": "3"} | What is the billions digit of 3803564313? | 3 |
{"question": "Does 236 divide 323538?", "answer": "False"} | Does 236 divide 323538? | False |
{"question": "Calculate (12/22)/(5/(90/(-27))).", "answer": "-4/11"} | Calculate (12/22)/(5/(90/(-27))). | -4/11 |
{"question": "Which is the closest to -2? (a) 0.3 (b) -4/21 (c) 1/6", "answer": "b"} | Which is the closest to -2? (a) 0.3 (b) -4/21 (c) 1/6 | b |
{"question": "Let g = -360 + 126. Let u = 241 + g. What is the least common multiple of u and 6?", "answer": "42"} | Let g = -360 + 126. Let u = 241 + g. What is the least common multiple of u and 6? | 42 |
{"question": "Factor -p**3 - 2359*p**2 + 2079056*p + 4167540.", "answer": "-(p - 685)*(p + 2)*(p + 3042)"} | Factor -p**3 - 2359*p**2 + 2079056*p + 4167540. | -(p - 685)*(p + 2)*(p + 3042) |
{"question": "Is -3273 less than or equal to -3273?", "answer": "True"} | Is -3273 less than or equal to -3273? | True |
{"question": "Solve 4*z + 11 = -3*v - 15, -z - 5*v - 15 = 0 for z.", "answer": "-5"} | Solve 4*z + 11 = -3*v - 15, -z - 5*v - 15 = 0 for z. | -5 |
{"question": "Four letters picked without replacement from lilmmmlmlimmmiii. Give prob of sequence limm.", "answer": "1/52"} | Four letters picked without replacement from lilmmmlmlimmmiii. Give prob of sequence limm. | 1/52 |
{"question": "Let p(u) = -16818*u**3 + 3*u**2 + 18725*u - 24. Let g(d) = 5606*d**3 - d**2 - 6241*d + 9. Let t(y) = -8*g(y) - 3*p(y). Find the second derivative of t(l) wrt l.", "answer": "33636*l - 2"} | Let p(u) = -16818*u**3 + 3*u**2 + 18725*u - 24. Let g(d) = 5606*d**3 - d**2 - 6241*d + 9. Let t(y) = -8*g(y) - 3*p(y). Find the second derivative of t(l) wrt l. | 33636*l - 2 |
{"question": "Let o = -7 + 7. Let q = 5 - 0. What is the third smallest value in q, 2/13, o?", "answer": "q"} | Let o = -7 + 7. Let q = 5 - 0. What is the third smallest value in q, 2/13, o? | q |
{"question": "Which is the smallest value? (a) -0.8 (b) 2/25 (c) 9 (d) 0", "answer": "a"} | Which is the smallest value? (a) -0.8 (b) 2/25 (c) 9 (d) 0 | a |
{"question": "What is the n'th term of -57, -85, -139, -231, -373, -577, -855, -1219?", "answer": "-2*n**3 - n**2 - 11*n - 43"} | What is the n'th term of -57, -85, -139, -231, -373, -577, -855, -1219? | -2*n**3 - n**2 - 11*n - 43 |
{"question": "Let m = 8 + -16. Let d = 8 + m. Which is the nearest to -1? (a) -0.2 (b) -1/6 (c) d", "answer": "a"} | Let m = 8 + -16. Let d = 8 + m. Which is the nearest to -1? (a) -0.2 (b) -1/6 (c) d | a |
{"question": "Let s = -11 - -28. Find the second derivative of -20*k**4 - s*k + 0*k**2 - 6*k + 0*k**2 wrt k.", "answer": "-240*k**2"} | Let s = -11 - -28. Find the second derivative of -20*k**4 - s*k + 0*k**2 - 6*k + 0*k**2 wrt k. | -240*k**2 |
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