text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
|---|---|---|
{"question": "Two letters picked without replacement from myym. What is prob of sequence mm?", "answer": "1/6"} | Two letters picked without replacement from myym. What is prob of sequence mm? | 1/6 |
{"question": "What is 957960 rounded to the nearest one hundred thousand?", "answer": "1000000"} | What is 957960 rounded to the nearest one hundred thousand? | 1000000 |
{"question": "What is the remainder when 7498825 is divided by 1086?", "answer": "1081"} | What is the remainder when 7498825 is divided by 1086? | 1081 |
{"question": "What is the value of (2 - 11) + 64 + -4 + (1 + 4 - 15)?", "answer": "41"} | What is the value of (2 - 11) + 64 + -4 + (1 + 4 - 15)? | 41 |
{"question": "-257612 (base 13) to base 2", "answer": "-11011100001010100111"} | -257612 (base 13) to base 2 | -11011100001010100111 |
{"question": "Let j(o) = 15*o**2 + o - 1. Let t be j(1). Suppose -20*p + 975 = -t*p. What is the hundreds digit of p?", "answer": "1"} | Let j(o) = 15*o**2 + o - 1. Let t be j(1). Suppose -20*p + 975 = -t*p. What is the hundreds digit of p? | 1 |
{"question": "What is the value of (8*3/72)/(1*-1)?", "answer": "-1/3"} | What is the value of (8*3/72)/(1*-1)? | -1/3 |
{"question": "Which is the third biggest value? (a) -5 (b) -0.3 (c) 5/12 (d) -1 (e) 17/210 (f) 2 (g) 4/7", "answer": "c"} | Which is the third biggest value? (a) -5 (b) -0.3 (c) 5/12 (d) -1 (e) 17/210 (f) 2 (g) 4/7 | c |
{"question": "Two letters picked without replacement from lnnnlllnnnnlnn. Give prob of sequence ll.", "answer": "10/91"} | Two letters picked without replacement from lnnnlllnnnnlnn. Give prob of sequence ll. | 10/91 |
{"question": "Let o(h) = 350*h + 20. Is o(2) a multiple of 24?", "answer": "True"} | Let o(h) = 350*h + 20. Is o(2) a multiple of 24? | True |
{"question": "Expand x**2 + 0*x**2 + 0*x**2 + (-x + 0*x - x)*(-62 - 12*x + 62) + 2*x**2 - x + x.", "answer": "27*x**2"} | Expand x**2 + 0*x**2 + 0*x**2 + (-x + 0*x - x)*(-62 - 12*x + 62) + 2*x**2 - x + x. | 27*x**2 |
{"question": "What is 728152011 to the power of 1/2, to the nearest integer?", "answer": "26984"} | What is 728152011 to the power of 1/2, to the nearest integer? | 26984 |
{"question": "Let y = 155 - 45. Suppose 5*b - y - 7 = -3*a, -5*b + 5*a = -85. Let o = b - 18. Which is smaller: o or -1/3?", "answer": "-1/3"} | Let y = 155 - 45. Suppose 5*b - y - 7 = -3*a, -5*b + 5*a = -85. Let o = b - 18. Which is smaller: o or -1/3? | -1/3 |
{"question": "Convert 492.5363 milliseconds to microseconds.", "answer": "492536.3"} | Convert 492.5363 milliseconds to microseconds. | 492536.3 |
{"question": "Expand 8*s**2 - 14*s**2 - 5*s**2 + (0*s**2 + 3*s**2 - 5*s**2)*(-1 - 2 + 5) + (2*s + 6*s + 0*s)*(-2*s - 1 + 1).", "answer": "-31*s**2"} | Expand 8*s**2 - 14*s**2 - 5*s**2 + (0*s**2 + 3*s**2 - 5*s**2)*(-1 - 2 + 5) + (2*s + 6*s + 0*s)*(-2*s - 1 + 1). | -31*s**2 |
{"question": "What are the prime factors of 3241008950?", "answer": "2, 5, 6653, 9743"} | What are the prime factors of 3241008950? | 2, 5, 6653, 9743 |
{"question": "Suppose 75*t - 92*t = 476. Let k be ((-2)/t)/((-48)/(-224)). Let l = 55 + -163/3. What is the second smallest value in -0.02, l, k?", "answer": "k"} | Suppose 75*t - 92*t = 476. Let k be ((-2)/t)/((-48)/(-224)). Let l = 55 + -163/3. What is the second smallest value in -0.02, l, k? | k |
{"question": "Express (-2 + 4 - 1)*(-8*q**2 + 2*q**2 - 89*q**2) as w*q**2 + s + o*q and give w.", "answer": "-95"} | Express (-2 + 4 - 1)*(-8*q**2 + 2*q**2 - 89*q**2) as w*q**2 + s + o*q and give w. | -95 |
{"question": "Simplify ((s/(s/(s*((s*s**(2/7))/s)/s)))**(-50))**(-17/5) assuming s is positive.", "answer": "s**(340/7)"} | Simplify ((s/(s/(s*((s*s**(2/7))/s)/s)))**(-50))**(-17/5) assuming s is positive. | s**(340/7) |
{"question": "Let s = 42 - 42. Solve 4*h - 2 - 10 = s for h.", "answer": "3"} | Let s = 42 - 42. Solve 4*h - 2 - 10 = s for h. | 3 |
{"question": "Which is the third biggest value? (a) 2/13 (b) -0.05356 (c) -109", "answer": "c"} | Which is the third biggest value? (a) 2/13 (b) -0.05356 (c) -109 | c |
{"question": "Let i(r) = r**2 - r + 1. Give i(0).", "answer": "1"} | Let i(r) = r**2 - r + 1. Give i(0). | 1 |
{"question": "Subtract 16 from 3204.", "answer": "3188"} | Subtract 16 from 3204. | 3188 |
{"question": "Let m(l) = -97*l - 109. Let w be m(-1). Let b(d) = d**3 + 12*d**2 + d + 2. Give b(w).", "answer": "-10"} | Let m(l) = -97*l - 109. Let w be m(-1). Let b(d) = d**3 + 12*d**2 + d + 2. Give b(w). | -10 |
{"question": "Let p(w) = w**3 - w + 1. Let j(v) = -2*v**3 - 2*v**2 + 5*v - 18. What is -j(c) - 3*p(c)?", "answer": "-c**3 + 2*c**2 - 2*c + 15"} | Let p(w) = w**3 - w + 1. Let j(v) = -2*v**3 - 2*v**2 + 5*v - 18. What is -j(c) - 3*p(c)? | -c**3 + 2*c**2 - 2*c + 15 |
{"question": "Three letters picked without replacement from yqsqzszg. Give prob of sequence gsq.", "answer": "1/84"} | Three letters picked without replacement from yqsqzszg. Give prob of sequence gsq. | 1/84 |
{"question": "What is -1000426 divided by 19?", "answer": "-52654"} | What is -1000426 divided by 19? | -52654 |
{"question": "Is 276507051 a composite number?", "answer": "True"} | Is 276507051 a composite number? | True |
{"question": "Solve m - 8 = -3*s - 0*s, 0 = 4*m + 5*s - 4 for m.", "answer": "-4"} | Solve m - 8 = -3*s - 0*s, 0 = 4*m + 5*s - 4 for m. | -4 |
{"question": "Suppose 4*b - b - 9 = 0. Find the third derivative of -5*y**2 + y**3 - 2*y**3 + y**3 - 5*y**b wrt y.", "answer": "-30"} | Suppose 4*b - b - 9 = 0. Find the third derivative of -5*y**2 + y**3 - 2*y**3 + y**3 - 5*y**b wrt y. | -30 |
{"question": "Solve -3*b + 327 - 326 = 2*z, -3*z = 2*b - 4 for z.", "answer": "2"} | Solve -3*b + 327 - 326 = 2*z, -3*z = 2*b - 4 for z. | 2 |
{"question": "What is six fifths of a milligram in micrograms?", "answer": "1200"} | What is six fifths of a milligram in micrograms? | 1200 |
{"question": "What is the remainder when 13081124 is divided by 28813?", "answer": "22"} | What is the remainder when 13081124 is divided by 28813? | 22 |
{"question": "What is the value of 48/128*(-56)/(-63)?", "answer": "1/3"} | What is the value of 48/128*(-56)/(-63)? | 1/3 |
{"question": "Evaluate -8 - (-8 + -1) - 0 - (-1 + 0).", "answer": "2"} | Evaluate -8 - (-8 + -1) - 0 - (-1 + 0). | 2 |
{"question": "Suppose 9*o + 21100000 = 8*o. What is o rounded to the nearest one million?", "answer": "-21000000"} | Suppose 9*o + 21100000 = 8*o. What is o rounded to the nearest one million? | -21000000 |
{"question": "(2/(-7))/(3/(-21))", "answer": "2"} | (2/(-7))/(3/(-21)) | 2 |
{"question": "What is t in -3*t**2 + 93207*t + 133222866 = 0?", "answer": "-1369, 32438"} | What is t in -3*t**2 + 93207*t + 133222866 = 0? | -1369, 32438 |
{"question": "What is the cube root of 209241 to the nearest integer?", "answer": "59"} | What is the cube root of 209241 to the nearest integer? | 59 |
{"question": "Let r = -114 - -126. Suppose -4*d = f + r + 4, 2*d + 14 = f. Solve 5*a = f*m - 1 - 26, -4*a + 5*m - 27 = 0 for a.", "answer": "-3"} | Let r = -114 - -126. Suppose -4*d = f + r + 4, 2*d + 14 = f. Solve 5*a = f*m - 1 - 26, -4*a + 5*m - 27 = 0 for a. | -3 |
{"question": "Four letters picked without replacement from {b: 1, m: 4, j: 1, g: 5}. Give prob of picking 3 g and 1 m.", "answer": "4/33"} | Four letters picked without replacement from {b: 1, m: 4, j: 1, g: 5}. Give prob of picking 3 g and 1 m. | 4/33 |
{"question": "Calculate 4 + -2 + (1 - 3).", "answer": "0"} | Calculate 4 + -2 + (1 - 3). | 0 |
{"question": "What is 7 + (-26 - (-7 - -2)) - -8?", "answer": "-6"} | What is 7 + (-26 - (-7 - -2)) - -8? | -6 |
{"question": "Let g(t) = 103*t**2 - 11227*t + 15. What is g(109)?", "answer": "15"} | Let g(t) = 103*t**2 - 11227*t + 15. What is g(109)? | 15 |
{"question": "Is 2134068473 prime?", "answer": "True"} | Is 2134068473 prime? | True |
{"question": "Which is greater: 65136 or 16?", "answer": "65136"} | Which is greater: 65136 or 16? | 65136 |
{"question": "Solve -43*x + 19 = 5*y - 40*x, 16 = 2*x for y.", "answer": "-1"} | Solve -43*x + 19 = 5*y - 40*x, 16 = 2*x for y. | -1 |
{"question": "What is the next term in -42, -69, -90, -111, -138, -177?", "answer": "-234"} | What is the next term in -42, -69, -90, -111, -138, -177? | -234 |
{"question": "Suppose -48*b = -62*b + 28. Find the first derivative of -8*x**b - 16 - 95 - 2*x - 35*x**2 wrt x.", "answer": "-86*x - 2"} | Suppose -48*b = -62*b + 28. Find the first derivative of -8*x**b - 16 - 95 - 2*x - 35*x**2 wrt x. | -86*x - 2 |
{"question": "What is the second biggest value in 0.94, -2739, 2/11?", "answer": "2/11"} | What is the second biggest value in 0.94, -2739, 2/11? | 2/11 |
{"question": "Simplify f*f*f**34/f*f**(-6)*f assuming f is positive.", "answer": "f**30"} | Simplify f*f*f**34/f*f**(-6)*f assuming f is positive. | f**30 |
{"question": "Find the second derivative of 2*t**3*x**2 - 3*t**3 + 199*t**2*x**4 + 23*t*x wrt x.", "answer": "4*t**3 + 2388*t**2*x**2"} | Find the second derivative of 2*t**3*x**2 - 3*t**3 + 199*t**2*x**4 + 23*t*x wrt x. | 4*t**3 + 2388*t**2*x**2 |
{"question": "Find the common denominator of -52/21 and (-2)/(-9) - (-5 + 5789/1764).", "answer": "84"} | Find the common denominator of -52/21 and (-2)/(-9) - (-5 + 5789/1764). | 84 |
{"question": "Suppose 3 = 5*f - 2*f. Let a be 1 - -2 - (f + -64). Suppose -12 = -4*x, 3*c - a = 2*x - 5*x. Solve -3*m = m + 12, -4*l + c = -m for l.", "answer": "4"} | Suppose 3 = 5*f - 2*f. Let a be 1 - -2 - (f + -64). Suppose -12 = -4*x, 3*c - a = 2*x - 5*x. Solve -3*m = m + 12, -4*l + c = -m for l. | 4 |
{"question": "Let d = -4501 - -6348. Is d a composite number?", "answer": "False"} | Let d = -4501 - -6348. Is d a composite number? | False |
{"question": "Is 955 a factor of 24123300?", "answer": "True"} | Is 955 a factor of 24123300? | True |
{"question": "What is the highest common divisor of 101726 and 38?", "answer": "38"} | What is the highest common divisor of 101726 and 38? | 38 |
{"question": "Let m(v) = -v**3 - 70*v**2 - 1130*v - 153. Give m(-25).", "answer": "-28"} | Let m(v) = -v**3 - 70*v**2 - 1130*v - 153. Give m(-25). | -28 |
{"question": "What is the next term in 823, 838, 867, 916, 991, 1098?", "answer": "1243"} | What is the next term in 823, 838, 867, 916, 991, 1098? | 1243 |
{"question": "Suppose -29 = -5*j + 16. Suppose -o = -0*o - j. What are the prime factors of o?", "answer": "3"} | Suppose -29 = -5*j + 16. Suppose -o = -0*o - j. What are the prime factors of o? | 3 |
{"question": "Subtract -129240.71748 from 848.", "answer": "130088.71748"} | Subtract -129240.71748 from 848. | 130088.71748 |
{"question": "Suppose -4*p + 9*p + 3*d - 25 = 0, 0 = p - 3*d + 13. Let n be 16/6 - ((-6)/(-9) - 0). Suppose 2*w - 37 = -3*u - n*w, -2*u + 3*w = -p. Is u even?", "answer": "False"} | Suppose -4*p + 9*p + 3*d - 25 = 0, 0 = p - 3*d + 13. Let n be 16/6 - ((-6)/(-9) - 0). Suppose 2*w - 37 = -3*u - n*w, -2*u + 3*w = -p. Is u even? | False |
{"question": "Solve 0 = -3*x + 4*d - 6 - 5, 0 = -3*x - 5*d + 7 for x.", "answer": "-1"} | Solve 0 = -3*x + 4*d - 6 - 5, 0 = -3*x - 5*d + 7 for x. | -1 |
{"question": "Does 8 divide 528751239?", "answer": "False"} | Does 8 divide 528751239? | False |
{"question": "Are -282555 and -1412773/5 non-equal?", "answer": "True"} | Are -282555 and -1412773/5 non-equal? | True |
{"question": "Does 2200 divide 281048031?", "answer": "False"} | Does 2200 divide 281048031? | False |
{"question": "What is the first derivative of 5769*s + 7117?", "answer": "5769"} | What is the first derivative of 5769*s + 7117? | 5769 |
{"question": "Let c(r) = 1239*r - 1838. What is the remainder when 9354 is divided by c(4)?", "answer": "0"} | Let c(r) = 1239*r - 1838. What is the remainder when 9354 is divided by c(4)? | 0 |
{"question": "Solve 14*o = o - 65 for o.", "answer": "-5"} | Solve 14*o = o - 65 for o. | -5 |
{"question": "Let l = 29 - 36. Let c be 3/21*-2 + (-18706)/l. Differentiate c*q**2 - q**4 - 6 - 2672*q**2 wrt q.", "answer": "-4*q**3"} | Let l = 29 - 36. Let c be 3/21*-2 + (-18706)/l. Differentiate c*q**2 - q**4 - 6 - 2672*q**2 wrt q. | -4*q**3 |
{"question": "Let f(u) = 3*u**3 - 142*u**2 + 183*u - 50. Determine f(46).", "answer": "-96"} | Let f(u) = 3*u**3 - 142*u**2 + 183*u - 50. Determine f(46). | -96 |
{"question": "Let z(y) = -630*y**3 - 7*y**2 - y + 11. Let x(n) = 630*n**3 + 6*n**2 + n - 10. Give -7*x(h) - 6*z(h).", "answer": "-630*h**3 - h + 4"} | Let z(y) = -630*y**3 - 7*y**2 - y + 11. Let x(n) = 630*n**3 + 6*n**2 + n - 10. Give -7*x(h) - 6*z(h). | -630*h**3 - h + 4 |
{"question": "What is prob of sequence rr when two letters picked without replacement from {r: 2, x: 4}?", "answer": "1/15"} | What is prob of sequence rr when two letters picked without replacement from {r: 2, x: 4}? | 1/15 |
{"question": "What is the j'th term of 570, 568, 566, 564?", "answer": "-2*j + 572"} | What is the j'th term of 570, 568, 566, 564? | -2*j + 572 |
{"question": "What is the a'th term of -23814, -47618, -71412, -95190, -118946, -142674?", "answer": "a**3 - a**2 - 23808*a - 6"} | What is the a'th term of -23814, -47618, -71412, -95190, -118946, -142674? | a**3 - a**2 - 23808*a - 6 |
{"question": "Suppose 3*f - 483 - 645 = 0. Let i = f + -210. Is i a multiple of 15?", "answer": "False"} | Suppose 3*f - 483 - 645 = 0. Let i = f + -210. Is i a multiple of 15? | False |
{"question": "Collect the terms in 57 - 109 - 326*m**2 + 52.", "answer": "-326*m**2"} | Collect the terms in 57 - 109 - 326*m**2 + 52. | -326*m**2 |
{"question": "What is next in 57, 211, 387, 591, 829, 1107, 1431, 1807?", "answer": "2241"} | What is next in 57, 211, 387, 591, 829, 1107, 1431, 1807? | 2241 |
{"question": "Suppose 2*c + 5*b = 42, -4*c - 2*b + 33 = -35. Let q be (7/2 + -3)*c. What is the third derivative of -a**3 + 2*a**2 - q*a + 8*a wrt a?", "answer": "-6"} | Suppose 2*c + 5*b = 42, -4*c - 2*b + 33 = -35. Let q be (7/2 + -3)*c. What is the third derivative of -a**3 + 2*a**2 - q*a + 8*a wrt a? | -6 |
{"question": "Find r, given that 2*r**2 - 108338*r + 541640 = 0.", "answer": "5, 54164"} | Find r, given that 2*r**2 - 108338*r + 541640 = 0. | 5, 54164 |
{"question": "Expand (2 - 2 - 5*z)*(5 - 2 - 1)*(-2*z**3 + 3*z**3 - 2*z**3).", "answer": "10*z**4"} | Expand (2 - 2 - 5*z)*(5 - 2 - 1)*(-2*z**3 + 3*z**3 - 2*z**3). | 10*z**4 |
{"question": "Is -1/779100 <= 0?", "answer": "True"} | Is -1/779100 <= 0? | True |
{"question": "Is 790 - ((-4)/2 - 1) a prime number?", "answer": "False"} | Is 790 - ((-4)/2 - 1) a prime number? | False |
{"question": "Which is the biggest value? (a) -4 (b) 623096 (c) 5/8", "answer": "b"} | Which is the biggest value? (a) -4 (b) 623096 (c) 5/8 | b |
{"question": "Calculate prob of sequence xxyy when four letters picked without replacement from axrxayzyyy.", "answer": "1/210"} | Calculate prob of sequence xxyy when four letters picked without replacement from axrxayzyyy. | 1/210 |
{"question": "Let y(q) = -q**2 + 178*q. Let n(z) = -11*z - 227. Determine n(y(u)).", "answer": "11*u**2 - 1958*u - 227"} | Let y(q) = -q**2 + 178*q. Let n(z) = -11*z - 227. Determine n(y(u)). | 11*u**2 - 1958*u - 227 |
{"question": "What is prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, r: 1, o: 6, h: 3, y: 1}?", "answer": "1/22"} | What is prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, r: 1, o: 6, h: 3, y: 1}? | 1/22 |
{"question": "Solve -j = -3*j + 2*a - 16, -5*a + 25 = 0 for j.", "answer": "-3"} | Solve -j = -3*j + 2*a - 16, -5*a + 25 = 0 for j. | -3 |
{"question": "Let n be (-2*8/(-21))/((-4)/(-60)). Let l = -254/21 + n. Is -4.9 less than l?", "answer": "True"} | Let n be (-2*8/(-21))/((-4)/(-60)). Let l = -254/21 + n. Is -4.9 less than l? | True |
{"question": "Is 48 a factor of 432?", "answer": "True"} | Is 48 a factor of 432? | True |
{"question": "Let q = -489 + 492. Suppose 2*m = -6*f + 4*f + 376, -q*f = 5*m - 566. What are the prime factors of f?", "answer": "11, 17"} | Let q = -489 + 492. Suppose 2*m = -6*f + 4*f + 376, -q*f = 5*m - 566. What are the prime factors of f? | 11, 17 |
{"question": "0.4 * 123.8876", "answer": "49.55504"} | 0.4 * 123.8876 | 49.55504 |
{"question": "What is 345 minutes before 8:37 PM?", "answer": "2:52 PM"} | What is 345 minutes before 8:37 PM? | 2:52 PM |
{"question": "Let u = 13 - 8. Suppose -a + u*d = 4*a - 60, 3*a - 18 = -3*d. Suppose 0 = p + 5*v - 16, -5*p + 64 = -p - v. What is the remainder when p is divided by a?", "answer": "7"} | Let u = 13 - 8. Suppose -a + u*d = 4*a - 60, 3*a - 18 = -3*d. Suppose 0 = p + 5*v - 16, -5*p + 64 = -p - v. What is the remainder when p is divided by a? | 7 |
{"question": "Expand (2*u - u - 3*u)*(-u + 1 - 1) + (0 + 0 - 2*u)*(2*u + u + 0*u).", "answer": "-4*u**2"} | Expand (2*u - u - 3*u)*(-u + 1 - 1) + (0 + 0 - 2*u)*(2*u + u + 0*u). | -4*u**2 |
{"question": "Calculate the remainder when 101 is divided by 24/(-11) - -2 - 4136/(-121).", "answer": "33"} | Calculate the remainder when 101 is divided by 24/(-11) - -2 - 4136/(-121). | 33 |
{"question": "Calculate the common denominator of 113/10 and 85/8.", "answer": "40"} | Calculate the common denominator of 113/10 and 85/8. | 40 |
{"question": "Let a(f) = 12*f - 7. Let z be a(-1). Let p(j) = 111*j**2 - 4*j - 13. Let g be p(z). Suppose -13*r = -g + 12145. Is r composite?", "answer": "False"} | Let a(f) = 12*f - 7. Let z be a(-1). Let p(j) = 111*j**2 - 4*j - 13. Let g be p(z). Suppose -13*r = -g + 12145. Is r composite? | False |
{"question": "Solve -28*p = -36*p - 22 - 50 for p.", "answer": "-9"} | Solve -28*p = -36*p - 22 - 50 for p. | -9 |
{"question": "Solve 10447*p - 10442*p + 9 = 4, b + 9 = -5*p for b.", "answer": "-4"} | Solve 10447*p - 10442*p + 9 = 4, b + 9 = -5*p for b. | -4 |
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