question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'What is prob of sequence ycj when three letters picked without replacement from {b: 6, c: 1, y: 9, j: 1}?\n' | b'3/1360\n' | b'What is prob of sequence ycj when three letters picked without replacement from {b: 6, c: 1, y: 9, j: 1}?\n' | b'3/1360\n' | deepmind/math_dataset |
b'Let m(q) = -11*q**2 + 6*q + 18. Let u(g) = -10*g**2 + 2*g - 2. Let k(j) = m(j) - u(j). Determine k(6).\n' | b'8\n' | b'Let m(q) = -11*q**2 + 6*q + 18. Let u(g) = -10*g**2 + 2*g - 2. Let k(j) = m(j) - u(j). Determine k(6).\n' | b'8\n' | deepmind/math_dataset |
b'Let a(t) = 9*t**2 - 11*t + 433 - 449 - 6*t - 11*t**2 - 4*t. Give a(-10).\n' | b'-6\n' | b'Let a(t) = 9*t**2 - 11*t + 433 - 449 - 6*t - 11*t**2 - 4*t. Give a(-10).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 z when two letters picked without replacement from lcllzczocccclcc.\n' | b'16/105\n' | b'Calculate prob of picking 1 c and 1 z when two letters picked without replacement from lcllzczocccclcc.\n' | b'16/105\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jdyyamy. What is prob of sequence jy?\n' | b'1/14\n' | b'Two letters picked without replacement from jdyyamy. What is prob of sequence jy?\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (n*n/n**(-1/3))/n*n**(-10) assuming n is positive.\n' | b'n**(-26/3)\n' | b'Simplify (n*n/n**(-1/3))/n*n**(-10) assuming n is positive.\n' | b'n**(-26/3)\n' | deepmind/math_dataset |
b'Calculate prob of sequence opkw when four letters picked without replacement from ypokwwswoko.\n' | b'1/440\n' | b'Calculate prob of sequence opkw when four letters picked without replacement from ypokwwswoko.\n' | b'1/440\n' | deepmind/math_dataset |
b'Let m(t) be the first derivative of -29*t**5/5 + 4*t**3/3 + 17. What is the third derivative of m(l) wrt l?\n' | b'-696*l\n' | b'Let m(t) be the first derivative of -29*t**5/5 + 4*t**3/3 + 17. What is the third derivative of m(l) wrt l?\n' | b'-696*l\n' | deepmind/math_dataset |
b'Let f(s) be the first derivative of s**7/420 + s**5/30 - s**3 + 1. Let o(a) be the third derivative of f(a). What is the second derivative of o(w) wrt w?\n' | b'12*w\n' | b'Let f(s) be the first derivative of s**7/420 + s**5/30 - s**3 + 1. Let o(a) be the third derivative of f(a). What is the second derivative of o(w) wrt w?\n' | b'12*w\n' | deepmind/math_dataset |
b'Let z(u) be the second derivative of 301*u**5/20 + u**3/6 + 44*u**2 - 467*u. Find the second derivative of z(k) wrt k.\n' | b'1806*k\n' | b'Let z(u) be the second derivative of 301*u**5/20 + u**3/6 + 44*u**2 - 467*u. Find the second derivative of z(k) wrt k.\n' | b'1806*k\n' | deepmind/math_dataset |
b'Three letters picked without replacement from peppeppeppp. What is prob of sequence eep?\n' | b'8/165\n' | b'Three letters picked without replacement from peppeppeppp. What is prob of sequence eep?\n' | b'8/165\n' | deepmind/math_dataset |
b'Calculate prob of sequence pw when two letters picked without replacement from {r: 1, p: 1, m: 1, w: 1, k: 1}.\n' | b'1/20\n' | b'Calculate prob of sequence pw when two letters picked without replacement from {r: 1, p: 1, m: 1, w: 1, k: 1}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (i*i**(2/11)*i*i*(i/i**(-2/5))/i)/((i**(2/3)/i)/i**(1/3))*i*i/i**1*i*i/i**(-2)*i**(-7)/(i**(-3)/i*i) assuming i is positive.\n' | b'i**(866/165)\n' | b'Simplify (i*i**(2/11)*i*i*(i/i**(-2/5))/i)/((i**(2/3)/i)/i**(1/3))*i*i/i**1*i*i/i**(-2)*i**(-7)/(i**(-3)/i*i) assuming i is positive.\n' | b'i**(866/165)\n' | deepmind/math_dataset |
b'Simplify (h**(-3/7)/h)**(2/9)/(h/(h/(h**(5/4)*h*h)*h)*h*h*h**(2/5)) assuming h is positive.\n' | b'h**(-6259/1260)\n' | b'Simplify (h**(-3/7)/h)**(2/9)/(h/(h/(h**(5/4)*h*h)*h)*h*h*h**(2/5)) assuming h is positive.\n' | b'h**(-6259/1260)\n' | deepmind/math_dataset |
b'What is prob of sequence xy when two letters picked without replacement from txyyzzzxsotxozyt?\n' | b'3/80\n' | b'What is prob of sequence xy when two letters picked without replacement from txyyzzzxsotxozyt?\n' | b'3/80\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, b: 4, z: 1}. What is prob of picking 3 b?\n' | b'4/35\n' | b'Three letters picked without replacement from {g: 2, b: 4, z: 1}. What is prob of picking 3 b?\n' | b'4/35\n' | deepmind/math_dataset |
b'Let u be (4/7)/(48/84). Solve -5*f - 1 + 6 = 5*v, -3*v - f = u for v.\n' | b'-1\n' | b'Let u be (4/7)/(48/84). Solve -5*f - 1 + 6 = 5*v, -3*v - f = u for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (h*h**(4/5)*h**(-4/5))/(h**(-1))**(-16/7) assuming h is positive.\n' | b'h**(-9/7)\n' | b'Simplify (h*h**(4/5)*h**(-4/5))/(h**(-1))**(-16/7) assuming h is positive.\n' | b'h**(-9/7)\n' | deepmind/math_dataset |
b'Let i(p) = -17 + 3*p - 11 + 31. Calculate i(-2).\n' | b'-3\n' | b'Let i(p) = -17 + 3*p - 11 + 31. Calculate i(-2).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 3, p: 2, s: 6, y: 6, m: 3}. Give prob of picking 1 y, 1 p, and 1 j.\n' | b'3/95\n' | b'Three letters picked without replacement from {j: 3, p: 2, s: 6, y: 6, m: 3}. Give prob of picking 1 y, 1 p, and 1 j.\n' | b'3/95\n' | deepmind/math_dataset |
b'Let a(b) = 5*b - 5. Let x be a(2). What is the second derivative of -4*r - 30*r**x + r**5 - 3 - 7*r + 5*r wrt r?\n' | b'-580*r**3\n' | b'Let a(b) = 5*b - 5. Let x be a(2). What is the second derivative of -4*r - 30*r**x + r**5 - 3 - 7*r + 5*r wrt r?\n' | b'-580*r**3\n' | deepmind/math_dataset |
b'Simplify n**(-3)*n**(1/9)*n*n**(2/3)*n*n**(-20)/n assuming n is positive.\n' | b'n**(-191/9)\n' | b'Simplify n**(-3)*n**(1/9)*n*n**(2/3)*n*n**(-20)/n assuming n is positive.\n' | b'n**(-191/9)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p, 1 c, and 1 s when three letters picked without replacement from jjjjpspjwcccpc.\n' | b'3/91\n' | b'Calculate prob of picking 1 p, 1 c, and 1 s when three letters picked without replacement from jjjjpspjwcccpc.\n' | b'3/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqqqqqzqqqqq. What is prob of sequence qq?\n' | b'11/13\n' | b'Two letters picked without replacement from qqqqqqqzqqqqq. What is prob of sequence qq?\n' | b'11/13\n' | deepmind/math_dataset |
b'Let d(l) be the second derivative of -9*l**5/10 - 18*l**2 + 23*l. Find the first derivative of d(r) wrt r.\n' | b'-54*r**2\n' | b'Let d(l) be the second derivative of -9*l**5/10 - 18*l**2 + 23*l. Find the first derivative of d(r) wrt r.\n' | b'-54*r**2\n' | deepmind/math_dataset |
b'Simplify ((o/(o/o**(2/11)*o)*o**(-6))/(o*o/o**(-4/7)*o*o**(-2/9)))/((o**(-2)*o**(-2/25))/((o/(o/(o*o/((o/o**(-8))/o))))/(o/o**5))) assuming o is positive.\n' | b'o**(-174764/17325)\n' | b'Simplify ((o/(o/o**(2/11)*o)*o**(-6))/(o*o/o**(-4/7)*o*o**(-2/9)))/((o**(-2)*o**(-2/25))/((o/(o/(o*o/((o/o**(-8))/o))))/(o/o**5))) assuming o is positive.\n' | b'o**(-174764/17325)\n' | deepmind/math_dataset |
b'Let f = 1994 + -1992. Let s(b) be the third derivative of 7/30*b**5 + 5/12*b**4 - 13*b**f + 0*b + 0 + 0*b**3. Find the second derivative of s(r) wrt r.\n' | b'28\n' | b'Let f = 1994 + -1992. Let s(b) be the third derivative of 7/30*b**5 + 5/12*b**4 - 13*b**f + 0*b + 0 + 0*b**3. Find the second derivative of s(r) wrt r.\n' | b'28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wzllzylwwlll. What is prob of sequence wlz?\n' | b'3/110\n' | b'Three letters picked without replacement from wzllzylwwlll. What is prob of sequence wlz?\n' | b'3/110\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mhmhgccmtcum. Give prob of sequence th.\n' | b'1/66\n' | b'Two letters picked without replacement from mhmhgccmtcum. Give prob of sequence th.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let b(a) = 1188*a**2 - 2138*a - 9. Let r(z) = 2376*z**2 - 4277*z - 15. Let w(f) = 5*b(f) - 3*r(f). Find the second derivative of w(i) wrt i.\n' | b'-2376\n' | b'Let b(a) = 1188*a**2 - 2138*a - 9. Let r(z) = 2376*z**2 - 4277*z - 15. Let w(f) = 5*b(f) - 3*r(f). Find the second derivative of w(i) wrt i.\n' | b'-2376\n' | deepmind/math_dataset |
b'Simplify (((h*h**(-3/7))/h)**(9/13))**47 assuming h is positive.\n' | b'h**(-1269/91)\n' | b'Simplify (((h*h**(-3/7))/h)**(9/13))**47 assuming h is positive.\n' | b'h**(-1269/91)\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 f when two letters picked without replacement from {f: 4, e: 3}?\n' | b'4/7\n' | b'What is prob of picking 1 e and 1 f when two letters picked without replacement from {f: 4, e: 3}?\n' | b'4/7\n' | deepmind/math_dataset |
b'Simplify ((j**2*j*j)/(j*j**(-13)))/((j**(3/7)*j*j)/j*j/(j/(j/j**3))*j*j) assuming j is positive.\n' | b'j**(102/7)\n' | b'Simplify ((j**2*j*j)/(j*j**(-13)))/((j**(3/7)*j*j)/j*j/(j/(j/j**3))*j*j) assuming j is positive.\n' | b'j**(102/7)\n' | deepmind/math_dataset |
b'Let k(s) = s - 5. Let p be k(0). Let i(h) = 14*h**2 + 19*h + 1. Let b(r) = -34*r**2 - 47*r - 2. Let y(z) = 5*b(z) + 12*i(z). Determine y(p).\n' | b'-13\n' | b'Let k(s) = s - 5. Let p be k(0). Let i(h) = 14*h**2 + 19*h + 1. Let b(r) = -34*r**2 - 47*r - 2. Let y(z) = 5*b(z) + 12*i(z). Determine y(p).\n' | b'-13\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 3, h: 4, f: 1, i: 2, q: 2, t: 2}.\n' | b'6/91\n' | b'Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 3, h: 4, f: 1, i: 2, q: 2, t: 2}.\n' | b'6/91\n' | deepmind/math_dataset |
b'Let y(s) be the first derivative of -s**6/120 + s**5/12 + 7*s**4/24 - 2*s**3/3 - 2*s**2 + 3. Let c(r) be the second derivative of y(r). Calculate c(6).\n' | b'2\n' | b'Let y(s) be the first derivative of -s**6/120 + s**5/12 + 7*s**4/24 - 2*s**3/3 - 2*s**2 + 3. Let c(r) be the second derivative of y(r). Calculate c(6).\n' | b'2\n' | deepmind/math_dataset |
b'Let c(h) = -3*h. Suppose 0 = 4*t - 342 + 362. Calculate c(t).\n' | b'15\n' | b'Let c(h) = -3*h. Suppose 0 = 4*t - 342 + 362. Calculate c(t).\n' | b'15\n' | deepmind/math_dataset |
b'Let a(c) = -1. Let z(l) = l - 11. Let s(m) = -3*a(m) + z(m). Let d(j) be the third derivative of j**4/12 + j**3 - 2*j**2. Let o be d(0). What is s(o)?\n' | b'-2\n' | b'Let a(c) = -1. Let z(l) = l - 11. Let s(m) = -3*a(m) + z(m). Let d(j) be the third derivative of j**4/12 + j**3 - 2*j**2. Let o be d(0). What is s(o)?\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {y: 3, v: 1, q: 1, o: 6, c: 1}.\n' | b'1/66\n' | b'Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {y: 3, v: 1, q: 1, o: 6, c: 1}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 7, d: 1, u: 9, y: 1}. What is prob of sequence de?\n' | b'7/306\n' | b'Two letters picked without replacement from {e: 7, d: 1, u: 9, y: 1}. What is prob of sequence de?\n' | b'7/306\n' | deepmind/math_dataset |
b'Let z(j) be the first derivative of -231*j**5/5 + 211*j + 84. What is the derivative of z(y) wrt y?\n' | b'-924*y**3\n' | b'Let z(j) be the first derivative of -231*j**5/5 + 211*j + 84. What is the derivative of z(y) wrt y?\n' | b'-924*y**3\n' | deepmind/math_dataset |
b'Suppose -b - 24 = -29. Suppose -4*k + 4*k = -b*k. Let u(o) = o - 6. Determine u(k).\n' | b'-6\n' | b'Suppose -b - 24 = -29. Suppose -4*k + 4*k = -b*k. Let u(o) = o - 6. Determine u(k).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (o**(-6))**(1/13)*o**(-20)*o/(o*o**(2/23)) assuming o is positive.\n' | b'o**(-6144/299)\n' | b'Simplify (o**(-6))**(1/13)*o**(-20)*o/(o*o**(2/23)) assuming o is positive.\n' | b'o**(-6144/299)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppppphpppvhphhvvv. Give prob of picking 2 v.\n' | b'3/68\n' | b'Two letters picked without replacement from ppppphpppvhphhvvv. Give prob of picking 2 v.\n' | b'3/68\n' | deepmind/math_dataset |
b'What is prob of sequence wwww when four letters picked without replacement from {w: 5}?\n' | b'1\n' | b'What is prob of sequence wwww when four letters picked without replacement from {w: 5}?\n' | b'1\n' | deepmind/math_dataset |
b'Let v(p) be the third derivative of -1/3*p**3 - 4*p**2 + 0*p + 0*p**4 + 0 + 1/15*p**5. What is the first derivative of v(j) wrt j?\n' | b'8*j\n' | b'Let v(p) be the third derivative of -1/3*p**3 - 4*p**2 + 0*p + 0*p**4 + 0 + 1/15*p**5. What is the first derivative of v(j) wrt j?\n' | b'8*j\n' | deepmind/math_dataset |
b'Let m(s) = -4*s**3 + s**2 - 5*s - 1. Let n = -18 + 17. Let x(u) = u**3 + u**2 - u - 1. Let f(l) = n*m(l) + x(l). Find the second derivative of f(y) wrt y.\n' | b'30*y\n' | b'Let m(s) = -4*s**3 + s**2 - 5*s - 1. Let n = -18 + 17. Let x(u) = u**3 + u**2 - u - 1. Let f(l) = n*m(l) + x(l). Find the second derivative of f(y) wrt y.\n' | b'30*y\n' | deepmind/math_dataset |
b'Let t be 152/456*(-1 - -148). Solve -d + 0*m + 3*m = 1, 0 = -11*d + 3*m + t for d.\n' | b'5\n' | b'Let t be 152/456*(-1 - -148). Solve -d + 0*m + 3*m = 1, 0 = -11*d + 3*m + t for d.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence do when two letters picked without replacement from dmoos.\n' | b'1/10\n' | b'Calculate prob of sequence do when two letters picked without replacement from dmoos.\n' | b'1/10\n' | deepmind/math_dataset |
b'Differentiate 646 + 1244*i**2 + 838 + 652*i**2 + 812 + 659*i**2 wrt i.\n' | b'5110*i\n' | b'Differentiate 646 + 1244*i**2 + 838 + 652*i**2 + 812 + 659*i**2 wrt i.\n' | b'5110*i\n' | deepmind/math_dataset |
b'Let x be (100 + -5)/5 + -4 + 0. Solve 5 = -3*r - 2*v - 10, -2*r - 3*v = x for r.\n' | b'-3\n' | b'Let x be (100 + -5)/5 + -4 + 0. Solve 5 = -3*r - 2*v - 10, -2*r - 3*v = x for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r(w) = -w**2 - 12*w - 15. Suppose -4*i + o - 44 = 0, 18*o - 56 = 3*i + 23*o. Give r(i).\n' | b'-15\n' | b'Let r(w) = -w**2 - 12*w - 15. Suppose -4*i + o - 44 = 0, 18*o - 56 = 3*i + 23*o. Give r(i).\n' | b'-15\n' | deepmind/math_dataset |
b'Let o(x) = 2*x**2 + 13*x - 11. Let z be o(-8). Let u(d) = -3*d**2 - 28*d - 20. Let a(q) = -8*q**2 - 64*q - 41. Let g(b) = 2*a(b) - 5*u(b). Determine g(z).\n' | b'5\n' | b'Let o(x) = 2*x**2 + 13*x - 11. Let z be o(-8). Let u(d) = -3*d**2 - 28*d - 20. Let a(q) = -8*q**2 - 64*q - 41. Let g(b) = 2*a(b) - 5*u(b). Determine g(z).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((d**(-1/2))**(-15/4))**(-23/4) assuming d is positive.\n' | b'd**(-345/32)\n' | b'Simplify ((d**(-1/2))**(-15/4))**(-23/4) assuming d is positive.\n' | b'd**(-345/32)\n' | deepmind/math_dataset |
b'Let l = -4635 - -4649. Solve q + 8 = 5*a, -2*q + 4*a - 24 = -l for q.\n' | b'-3\n' | b'Let l = -4635 - -4649. Solve q + 8 = 5*a, -2*q + 4*a - 24 = -l for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((x*x**2)**(-1/8)/(x**5*x/(x*((x*x*x**(-9/5)*x)/x)/x)))**(-44) assuming x is positive.\n' | b'x**(2717/10)\n' | b'Simplify ((x*x**2)**(-1/8)/(x**5*x/(x*((x*x*x**(-9/5)*x)/x)/x)))**(-44) assuming x is positive.\n' | b'x**(2717/10)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 1, e: 5, s: 3, j: 3}. What is prob of sequence yesj?\n' | b'1/264\n' | b'Four letters picked without replacement from {y: 1, e: 5, s: 3, j: 3}. What is prob of sequence yesj?\n' | b'1/264\n' | deepmind/math_dataset |
b'Suppose 37*g - 102 - 9 = 0. Suppose 2*p = 3*i + 5*p - 9, 2*p + 19 = g*i. Solve 0*f - 2*f + i*q - 23 = 0, 2*q - 6 = 4*f for f.\n' | b'1\n' | b'Suppose 37*g - 102 - 9 = 0. Suppose 2*p = 3*i + 5*p - 9, 2*p + 19 = g*i. Solve 0*f - 2*f + i*q - 23 = 0, 2*q - 6 = 4*f for f.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nqq. What is prob of picking 2 q?\n' | b'1/3\n' | b'Two letters picked without replacement from nqq. What is prob of picking 2 q?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let j(u) = -8*u**2 + 2. Let f be j(1). Let d(q) = -2*q - 6. Give d(f).\n' | b'6\n' | b'Let j(u) = -8*u**2 + 2. Let f be j(1). Let d(q) = -2*q - 6. Give d(f).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 5*s + 23 = v, 2*v - 2*s - 23 = -3*v. Let r be v*(-3 + (-28)/(-4)). Solve -5*z + 15 = 2*b, 4*b + 2*z - 2 = -r for b.\n' | b'-5\n' | b'Suppose 5*s + 23 = v, 2*v - 2*s - 23 = -3*v. Let r be v*(-3 + (-28)/(-4)). Solve -5*z + 15 = 2*b, 4*b + 2*z - 2 = -r for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence bh when two letters picked without replacement from ibbbhbbbbiibbbb.\n' | b'11/210\n' | b'Calculate prob of sequence bh when two letters picked without replacement from ibbbhbbbbiibbbb.\n' | b'11/210\n' | deepmind/math_dataset |
b'Simplify (m*m**6)/(m**(-4)/m)*(m**(1/3))**(-15/8) assuming m is positive.\n' | b'm**(91/8)\n' | b'Simplify (m*m**6)/(m**(-4)/m)*(m**(1/3))**(-15/8) assuming m is positive.\n' | b'm**(91/8)\n' | deepmind/math_dataset |
b'What is prob of picking 1 w, 1 p, and 1 q when three letters picked without replacement from wwqwwpwpqwww?\n' | b'8/55\n' | b'What is prob of picking 1 w, 1 p, and 1 q when three letters picked without replacement from wwqwwpwpqwww?\n' | b'8/55\n' | deepmind/math_dataset |
b'Let v(a) be the second derivative of 1438*a**6/15 - 1079*a**4/12 + 3*a**2/2 - 4854*a. Find the third derivative of v(q) wrt q.\n' | b'69024*q\n' | b'Let v(a) be the second derivative of 1438*a**6/15 - 1079*a**4/12 + 3*a**2/2 - 4854*a. Find the third derivative of v(q) wrt q.\n' | b'69024*q\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 1 o, and 1 e when three letters picked without replacement from {o: 5, c: 2, d: 2, e: 2, w: 1, y: 1}?\n' | b'10/143\n' | b'What is prob of picking 1 c, 1 o, and 1 e when three letters picked without replacement from {o: 5, c: 2, d: 2, e: 2, w: 1, y: 1}?\n' | b'10/143\n' | deepmind/math_dataset |
b'Simplify (v/v**(-1/2)*v)**(3/16)*(v/((v*v**(4/9))/v))**(-3/34) assuming v is positive.\n' | b'v**(685/1632)\n' | b'Simplify (v/v**(-1/2)*v)**(3/16)*(v/((v*v**(4/9))/v))**(-3/34) assuming v is positive.\n' | b'v**(685/1632)\n' | deepmind/math_dataset |
b'Simplify b**(-3/2)/(b*b**(-3))*(b/b**(-2/33))/(b*(b*b*b/(b/b**(5/6)))/b) assuming b is positive.\n' | b'b**(-14/11)\n' | b'Simplify b**(-3/2)/(b*b**(-3))*(b/b**(-2/33))/(b*(b*b*b/(b/b**(5/6)))/b) assuming b is positive.\n' | b'b**(-14/11)\n' | deepmind/math_dataset |
b'Suppose 4*c = -4*x + 8*c + 8, -x - 5*c + 8 = 0. Find the second derivative of 201*l**3 - 133*l**x - 140*l**3 - 19*l + 113*l wrt l.\n' | b'-432*l\n' | b'Suppose 4*c = -4*x + 8*c + 8, -x - 5*c + 8 = 0. Find the second derivative of 201*l**3 - 133*l**x - 140*l**3 - 19*l + 113*l wrt l.\n' | b'-432*l\n' | deepmind/math_dataset |
b'Differentiate 81*r + 25 + 69*r - 56 wrt r.\n' | b'150\n' | b'Differentiate 81*r + 25 + 69*r - 56 wrt r.\n' | b'150\n' | deepmind/math_dataset |
b'Simplify (((r/(r*r*r*r**(1/4)))/(r/((r*r**3*r*r)/r)))/(r**(2/9)/((r/(r**4*r))/r)))/((r*r**(-8)*r)/r*(r**(-1/13)*r)/r)**26 assuming r is positive.\n' | b'r**(6499/36)\n' | b'Simplify (((r/(r*r*r*r**(1/4)))/(r/((r*r**3*r*r)/r)))/(r**(2/9)/((r/(r**4*r))/r)))/((r*r**(-8)*r)/r*(r**(-1/13)*r)/r)**26 assuming r is positive.\n' | b'r**(6499/36)\n' | deepmind/math_dataset |
b'Let g(t) = -4*t**2 - 1. Suppose -d = -2*q + 3*d + 54, -5*q = 2*d - 159. Let k = q + -30. Calculate g(k).\n' | b'-5\n' | b'Let g(t) = -4*t**2 - 1. Suppose -d = -2*q + 3*d + 54, -5*q = 2*d - 159. Let k = q + -30. Calculate g(k).\n' | b'-5\n' | deepmind/math_dataset |
b'Let y(t) = -t**2 - t + 25. Let f be y(0). Let d = f + -20. Solve -4*l - 9 = -d*n, -3*l + 3*n - 4 = -2*l for l.\n' | b'-1\n' | b'Let y(t) = -t**2 - t + 25. Let f be y(0). Let d = f + -20. Solve -4*l - 9 = -d*n, -3*l + 3*n - 4 = -2*l for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*t = -2*t. Let f be -4 - (-9 + -2 - 1)*105/42. Solve t = -0*n + 5*n - d - 11, -5*d + f = 2*n for n.\n' | b'3\n' | b'Suppose -4*t = -2*t. Let f be -4 - (-9 + -2 - 1)*105/42. Solve t = -0*n + 5*n - d - 11, -5*d + f = 2*n for n.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((b**(-23)/b*b)/b**7)**(8/3) assuming b is positive.\n' | b'b**(-80)\n' | b'Simplify ((b**(-23)/b*b)/b**7)**(8/3) assuming b is positive.\n' | b'b**(-80)\n' | deepmind/math_dataset |
b'Let y be 165/(-385) + (-24)/(-7). Solve -y = b - 3*d, d = 2*d - 2 for b.\n' | b'3\n' | b'Let y be 165/(-385) + (-24)/(-7). Solve -y = b - 3*d, d = 2*d - 2 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let r(d) = d**3 - 22*d**2 + 19*d + 48. Let m be r(21). Solve -5*y = h + h - 6, y = -4*h - m for h.\n' | b'-2\n' | b'Let r(d) = d**3 - 22*d**2 + 19*d + 48. Let m be r(21). Solve -5*y = h + h - 6, y = -4*h - m for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence rr when two letters picked without replacement from qqarr.\n' | b'1/10\n' | b'Calculate prob of sequence rr when two letters picked without replacement from qqarr.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (w*w**(2/11)*w*w*(w/(w*(w*w**(-8/11)*w)/w))/w*w)/(w**(-19/3)/(w**(2/11)/w*w)) assuming w is positive.\n' | b'w**(311/33)\n' | b'Simplify (w*w**(2/11)*w*w*(w/(w*(w*w**(-8/11)*w)/w))/w*w)/(w**(-19/3)/(w**(2/11)/w*w)) assuming w is positive.\n' | b'w**(311/33)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 5, o: 7}. Give prob of sequence obob.\n' | b'7/99\n' | b'Four letters picked without replacement from {b: 5, o: 7}. Give prob of sequence obob.\n' | b'7/99\n' | deepmind/math_dataset |
b'Let h be 9/24 + 18/(-48). Solve -u - o = -3 - h, -o = 3*u - 7 for u.\n' | b'2\n' | b'Let h be 9/24 + 18/(-48). Solve -u - o = -3 - h, -o = 3*u - 7 for u.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (p**(-35)*(((p*p/(p/(p*p**(-5/11)/p*p)))/p)/p)/p)**(-11) assuming p is positive.\n' | b'p**401\n' | b'Simplify (p**(-35)*(((p*p/(p/(p*p**(-5/11)/p*p)))/p)/p)/p)**(-11) assuming p is positive.\n' | b'p**401\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 4, r: 7, s: 6}. Give prob of sequence gs.\n' | b'3/34\n' | b'Two letters picked without replacement from {g: 4, r: 7, s: 6}. Give prob of sequence gs.\n' | b'3/34\n' | deepmind/math_dataset |
b'Let v(r) = -2*r**2 - 4*r. Let p(m) = -3*m**2 - 3*m - 1. Let n(t) = 3*p(t) - 4*v(t). What is n(5)?\n' | b'7\n' | b'Let v(r) = -2*r**2 - 4*r. Let p(m) = -3*m**2 - 3*m - 1. Let n(t) = 3*p(t) - 4*v(t). What is n(5)?\n' | b'7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 8, u: 2, n: 3, r: 3}. Give prob of picking 2 n.\n' | b'1/40\n' | b'Two letters picked without replacement from {g: 8, u: 2, n: 3, r: 3}. Give prob of picking 2 n.\n' | b'1/40\n' | deepmind/math_dataset |
b'Let k(d) = -3*d + 7. Let c(s) = 13*s - 9. Let r(b) = -12*b + 10. Let x(n) = -5*c(n) - 6*r(n). Let l(q) = -13*k(q) - 6*x(q). Give l(2).\n' | b'-7\n' | b'Let k(d) = -3*d + 7. Let c(s) = 13*s - 9. Let r(b) = -12*b + 10. Let x(n) = -5*c(n) - 6*r(n). Let l(q) = -13*k(q) - 6*x(q). Give l(2).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify o*o**(-6)*o*o**8 assuming o is positive.\n' | b'o**4\n' | b'Simplify o*o**(-6)*o*o**8 assuming o is positive.\n' | b'o**4\n' | deepmind/math_dataset |
b'Let k = -375 - -379. Suppose -s + 9 = -0*s + i, 0 = -3*i + 9. Solve -7*z = -2*l - s*z - k, 4*z + 2 = -l for l.\n' | b'-2\n' | b'Let k = -375 - -379. Suppose -s + 9 = -0*s + i, 0 = -3*i + 9. Solve -7*z = -2*l - s*z - k, 4*z + 2 = -l for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(r) = 4 - 253*r**3 + 10*r + 10*r**2 + 254*r**3 - 2. What is u(-9)?\n' | b'-7\n' | b'Let u(r) = 4 - 253*r**3 + 10*r + 10*r**2 + 254*r**3 - 2. What is u(-9)?\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((o*o**4*o*o)/(o/(o/(o*o**6*o*o))*o*o))**8 assuming o is positive.\n' | b'o**(-32)\n' | b'Simplify ((o*o**4*o*o)/(o/(o/(o*o**6*o*o))*o*o))**8 assuming o is positive.\n' | b'o**(-32)\n' | deepmind/math_dataset |
b'Let m = 2429 + -2424. Solve 4*y + 3*n = m*y + 16, -3*y + 5*n - 32 = 0 for y.\n' | b'-4\n' | b'Let m = 2429 + -2424. Solve 4*y + 3*n = m*y + 16, -3*y + 5*n - 32 = 0 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence rxg when three letters picked without replacement from xsrrzrygxrzg?\n' | b'2/165\n' | b'What is prob of sequence rxg when three letters picked without replacement from xsrrzrygxrzg?\n' | b'2/165\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, q: 5, p: 4, i: 6}. Give prob of picking 1 p and 1 i.\n' | b'1/5\n' | b'Two letters picked without replacement from {s: 1, q: 5, p: 4, i: 6}. Give prob of picking 1 p and 1 i.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let u(d) = 17*d + 19. Let i be u(-1). Suppose -3*c = 0, i*o + 42*c = 46*c. Solve 0*s - 4*s + 13 = -5*q, o = 4*s - 8 for q.\n' | b'-1\n' | b'Let u(d) = 17*d + 19. Let i be u(-1). Suppose -3*c = 0, i*o + 42*c = 46*c. Solve 0*s - 4*s + 13 = -5*q, o = 4*s - 8 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((n**9/(n*n/(n**8/n)))/(n**0)**34)**3 assuming n is positive.\n' | b'n**42\n' | b'Simplify ((n**9/(n*n/(n**8/n)))/(n**0)**34)**3 assuming n is positive.\n' | b'n**42\n' | deepmind/math_dataset |
b'Calculate prob of sequence ntnn when four letters picked without replacement from {z: 6, t: 5, n: 4, i: 1}.\n' | b'1/364\n' | b'Calculate prob of sequence ntnn when four letters picked without replacement from {z: 6, t: 5, n: 4, i: 1}.\n' | b'1/364\n' | deepmind/math_dataset |
b'Let m(i) = -3*i**2 + 20*i - 7. Let v be m(6). Let y(k) = 2*k - 7. Give y(v).\n' | b'3\n' | b'Let m(i) = -3*i**2 + 20*i - 7. Let v be m(6). Let y(k) = 2*k - 7. Give y(v).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 4 - 9 + 5 = -28*u. Solve -4*v = -f + 5 + 3, u = -f + 4 for v.\n' | b'-1\n' | b'Suppose 4 - 9 + 5 = -28*u. Solve -4*v = -f + 5 + 3, u = -f + 4 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -2*j = 2*j - 16. Let n(k) = 8*k - 1. Let r(z) be the third derivative of 7*z**4/24 - z**3/6 + 3*z**2. Let y(u) = j*r(u) - 3*n(u). Calculate y(-1).\n' | b'-5\n' | b'Suppose -2*j = 2*j - 16. Let n(k) = 8*k - 1. Let r(z) be the third derivative of 7*z**4/24 - z**3/6 + 3*z**2. Let y(u) = j*r(u) - 3*n(u). Calculate y(-1).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence vn when two letters picked without replacement from cvnvvncn?\n' | b'9/56\n' | b'What is prob of sequence vn when two letters picked without replacement from cvnvvncn?\n' | b'9/56\n' | deepmind/math_dataset |
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