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'Four letters picked without replacement from gmggggm. What is prob of sequence gggm?\n' | b'1/7\n' | b'Four letters picked without replacement from gmggggm. What is prob of sequence gggm?\n' | b'1/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yjhmmttj. Give prob of sequence tjj.\n' | b'1/84\n' | b'Three letters picked without replacement from yjhmmttj. Give prob of sequence tjj.\n' | b'1/84\n' | deepmind/math_dataset |
b'Calculate prob of sequence kl when two letters picked without replacement from fpqfllplqlfkplkk.\n' | b'1/16\n' | b'Calculate prob of sequence kl when two letters picked without replacement from fpqfllplqlfkplkk.\n' | b'1/16\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 c, 1 o, and 1 i when four letters picked without replacement from {a: 1, i: 10, o: 1, c: 4, y: 4}?\n' | b'8/969\n' | b'What is prob of picking 1 a, 1 c, 1 o, and 1 i when four letters picked without replacement from {a: 1, i: 10, o: 1, c: 4, y: 4}?\n' | b'8/969\n' | deepmind/math_dataset |
b'Let l be 8 - (1 - 2)*1. Suppose -2*w + 0*a + l = -3*a, -4 = 4*a. Let o be 1*w*(-25)/(-15). Solve 5*k + 5 = -o*c, -4*k - 27 = -c - 3 for c.\n' | b'4\n' | b'Let l be 8 - (1 - 2)*1. Suppose -2*w + 0*a + l = -3*a, -4 = 4*a. Let o be 1*w*(-25)/(-15). Solve 5*k + 5 = -o*c, -4*k - 27 = -c - 3 for c.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 2 q when three letters picked without replacement from qqqrqvvqev.\n' | b'1/4\n' | b'Calculate prob of picking 1 v and 2 q when three letters picked without replacement from qqqrqvvqev.\n' | b'1/4\n' | deepmind/math_dataset |
b'What is the second derivative of 4*d - 2*d + 15*d**2 + 3*d wrt d?\n' | b'30\n' | b'What is the second derivative of 4*d - 2*d + 15*d**2 + 3*d wrt d?\n' | b'30\n' | deepmind/math_dataset |
b'Let f(k) = -k - 5. Let b be f(-7). Let v(p) = -p**3 + 5*p**2 + 6*p + 2. Let j be v(6). What is the second derivative of -b*w - j*w**5 + 3 - 3 wrt w?\n' | b'-40*w**3\n' | b'Let f(k) = -k - 5. Let b be f(-7). Let v(p) = -p**3 + 5*p**2 + 6*p + 2. Let j be v(6). What is the second derivative of -b*w - j*w**5 + 3 - 3 wrt w?\n' | b'-40*w**3\n' | deepmind/math_dataset |
b'Simplify (y/y**(-2/3)*y*y*y/(y/(y*y/(y**6*y)))*y*y*(y*y**0)/y*y**(-3))/((y/(y**(-1)*y))**19*(y*(y**(-2/7)*y)/y)**49) assuming y is positive.\n' | b'y**(-169/3)\n' | b'Simplify (y/y**(-2/3)*y*y*y/(y/(y*y/(y**6*y)))*y*y*(y*y**0)/y*y**(-3))/((y/(y**(-1)*y))**19*(y*(y**(-2/7)*y)/y)**49) assuming y is positive.\n' | b'y**(-169/3)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q and 1 f when three letters picked without replacement from zffzfzvfzfvzvzqqzfff.\n' | b'2/285\n' | b'Calculate prob of picking 2 q and 1 f when three letters picked without replacement from zffzfzvfzfvzvzqqzfff.\n' | b'2/285\n' | deepmind/math_dataset |
b'Let f be (-18078)/(-5934) - 1*4/86. Solve -x + d = 10, -10 = -f*x + 5*d - 50 for x.\n' | b'-5\n' | b'Let f be (-18078)/(-5934) - 1*4/86. Solve -x + d = 10, -10 = -f*x + 5*d - 50 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 3*f - 8 = -u, 5*f - 2 = 3*f - 4*u. Let a(z) = -4*z + 0*z**3 - 1 + 458*z**2 + z**f - 453*z**2. Determine a(-6).\n' | b'-13\n' | b'Suppose 3*f - 8 = -u, 5*f - 2 = 3*f - 4*u. Let a(z) = -4*z + 0*z**3 - 1 + 458*z**2 + z**f - 453*z**2. Determine a(-6).\n' | b'-13\n' | deepmind/math_dataset |
b'Let s = 428 + -416. Let u(b) = -4*b + 53 + s*b - b**2 - 51. What is u(7)?\n' | b'9\n' | b'Let s = 428 + -416. Let u(b) = -4*b + 53 + s*b - b**2 - 51. What is u(7)?\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 6*c = 2*c + 5*y - 3, 4*c - 4*y = 0. Let p(d) be the second derivative of 0 + 1/2*d**2 + 1/4*d**4 - d + 0*d**c. Differentiate p(q) wrt q.\n' | b'6*q\n' | b'Suppose 6*c = 2*c + 5*y - 3, 4*c - 4*y = 0. Let p(d) be the second derivative of 0 + 1/2*d**2 + 1/4*d**4 - d + 0*d**c. Differentiate p(q) wrt q.\n' | b'6*q\n' | deepmind/math_dataset |
b'What is prob of picking 1 b, 1 i, and 1 a when three letters picked without replacement from ibarrbbab?\n' | b'2/21\n' | b'What is prob of picking 1 b, 1 i, and 1 a when three letters picked without replacement from ibarrbbab?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence zzok when four letters picked without replacement from {o: 4, k: 1, d: 3, z: 4, x: 1}.\n' | b'2/715\n' | b'Calculate prob of sequence zzok when four letters picked without replacement from {o: 4, k: 1, d: 3, z: 4, x: 1}.\n' | b'2/715\n' | deepmind/math_dataset |
b'Let x(z) = 2*z**2 + 42*z - 40. Let k be x(-22). Let m(a) be the first derivative of -a**2 + a + 1. What is m(k)?\n' | b'-7\n' | b'Let x(z) = 2*z**2 + 42*z - 40. Let k be x(-22). Let m(a) be the first derivative of -a**2 + a + 1. What is m(k)?\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppppppmpvmpupp. Give prob of picking 1 v and 1 u.\n' | b'1/91\n' | b'Two letters picked without replacement from ppppppmpvmpupp. Give prob of picking 1 v and 1 u.\n' | b'1/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 t and 1 k when two letters picked without replacement from {l: 3, b: 1, g: 3, p: 2, k: 1, t: 2}?\n' | b'1/33\n' | b'What is prob of picking 1 t and 1 k when two letters picked without replacement from {l: 3, b: 1, g: 3, p: 2, k: 1, t: 2}?\n' | b'1/33\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from {w: 2, b: 3, g: 3, q: 5}?\n' | b'1/26\n' | b'What is prob of picking 2 g when two letters picked without replacement from {w: 2, b: 3, g: 3, q: 5}?\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -3*y = -3*o - 123, 4*y + 25*o - 23*o = 134. Differentiate -100*h**4 + 15*h**2 + 49*h**4 - 4*h**2 + 55*h**4 - 40 - y wrt h.\n' | b'16*h**3 + 22*h\n' | b'Suppose -3*y = -3*o - 123, 4*y + 25*o - 23*o = 134. Differentiate -100*h**4 + 15*h**2 + 49*h**4 - 4*h**2 + 55*h**4 - 40 - y wrt h.\n' | b'16*h**3 + 22*h\n' | deepmind/math_dataset |
b'Let p = -44 - -45. Let s(f) = f**3 + f**2 - f - 1. Let j be s(p). Let v(y) = -y**2 - 3. Determine v(j).\n' | b'-3\n' | b'Let p = -44 - -45. Let s(f) = f**3 + f**2 - f - 1. Let j be s(p). Let v(y) = -y**2 - 3. Determine v(j).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((h/h**(-3/17))**5*h/(h*h*h*h*h/(h/((h/((h/h**38)/h))/h))*h*h)*h*h**(-1/49))**(-1/31) assuming h is positive.\n' | b'h**(30103/25823)\n' | b'Simplify ((h/h**(-3/17))**5*h/(h*h*h*h*h/(h/((h/((h/h**38)/h))/h))*h*h)*h*h**(-1/49))**(-1/31) assuming h is positive.\n' | b'h**(30103/25823)\n' | deepmind/math_dataset |
b'Let q = 5399 + -5386. Solve -3*z = 15, -u + 5*z - q = 7*z for u.\n' | b'-3\n' | b'Let q = 5399 + -5386. Solve -3*z = 15, -u + 5*z - q = 7*z for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l be (-10)/25 + 54/(-15). Let i be (8/l)/1 - -10. Let q be (-8)/(28/i + -4). Solve n = 2*w - 2 + 3, 0 = 4*n - 2*w - q for n.\n' | b'5\n' | b'Let l be (-10)/25 + 54/(-15). Let i be (8/l)/1 - -10. Let q be (-8)/(28/i + -4). Solve n = 2*w - 2 + 3, 0 = 4*n - 2*w - q for n.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jvpkp. What is prob of sequence ppk?\n' | b'1/30\n' | b'Three letters picked without replacement from jvpkp. What is prob of sequence ppk?\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence jeu when three letters picked without replacement from {u: 1, j: 3, c: 2, m: 1, g: 5, e: 3}.\n' | b'3/910\n' | b'Calculate prob of sequence jeu when three letters picked without replacement from {u: 1, j: 3, c: 2, m: 1, g: 5, e: 3}.\n' | b'3/910\n' | deepmind/math_dataset |
b'Let c be -2 + (1 - 2 - 0). Let u(y) = -86*y - 19. Let s(o) = -37*o - 9. Let n(m) = -7*s(m) + 3*u(m). Give n(c).\n' | b'3\n' | b'Let c be -2 + (1 - 2 - 0). Let u(y) = -86*y - 19. Let s(o) = -37*o - 9. Let n(m) = -7*s(m) + 3*u(m). Give n(c).\n' | b'3\n' | deepmind/math_dataset |
b'Let z(v) = -v**2 + 9*v - 10. Let y be z(7). Let p(b) = 6 - 1 - 8*b - 7*b**2 + b**3 - y + 1. Let i(f) = -12*f**2 + 109*f - 1. Let h be i(9). What is p(h)?\n' | b'2\n' | b'Let z(v) = -v**2 + 9*v - 10. Let y be z(7). Let p(b) = 6 - 1 - 8*b - 7*b**2 + b**3 - y + 1. Let i(f) = -12*f**2 + 109*f - 1. Let h be i(9). What is p(h)?\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence xpt when three letters picked without replacement from {r: 3, t: 3, o: 2, p: 9, f: 1, x: 2}?\n' | b'3/380\n' | b'What is prob of sequence xpt when three letters picked without replacement from {r: 3, t: 3, o: 2, p: 9, f: 1, x: 2}?\n' | b'3/380\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 2, w: 1, y: 1, h: 1, z: 1, r: 2}. What is prob of sequence vz?\n' | b'1/28\n' | b'Two letters picked without replacement from {v: 2, w: 1, y: 1, h: 1, z: 1, r: 2}. What is prob of sequence vz?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (x**2)**(-29)*((x*x**1)/x)**(1/12) assuming x is positive.\n' | b'x**(-695/12)\n' | b'Simplify (x**2)**(-29)*((x*x**1)/x)**(1/12) assuming x is positive.\n' | b'x**(-695/12)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, s: 3, l: 7, r: 8}. Give prob of picking 2 l and 1 u.\n' | b'7/190\n' | b'Three letters picked without replacement from {u: 2, s: 3, l: 7, r: 8}. Give prob of picking 2 l and 1 u.\n' | b'7/190\n' | deepmind/math_dataset |
b'Simplify ((h**4)**(16/7))**(10/9) assuming h is positive.\n' | b'h**(640/63)\n' | b'Simplify ((h**4)**(16/7))**(10/9) assuming h is positive.\n' | b'h**(640/63)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 6, v: 2, z: 1, d: 9}. Give prob of picking 2 d, 1 y, and 1 z.\n' | b'6/85\n' | b'Four letters picked without replacement from {y: 6, v: 2, z: 1, d: 9}. Give prob of picking 2 d, 1 y, and 1 z.\n' | b'6/85\n' | deepmind/math_dataset |
b'Simplify (a**(-1/2)/a**4)/(a*a**(-2)/a*a**(2/7)) assuming a is positive.\n' | b'a**(-39/14)\n' | b'Simplify (a**(-1/2)/a**4)/(a*a**(-2)/a*a**(2/7)) assuming a is positive.\n' | b'a**(-39/14)\n' | deepmind/math_dataset |
b'Suppose -5*s + 4 = -6. Find the third derivative of 6 - s - 4 + 59*t**2 + 27*t**3 wrt t.\n' | b'162\n' | b'Suppose -5*s + 4 = -6. Find the third derivative of 6 - s - 4 + 59*t**2 + 27*t**3 wrt t.\n' | b'162\n' | deepmind/math_dataset |
b'Let j(c) = c - 3. Let n(h) = -3*h + 8. Let u(f) = 2*j(f) + n(f). Give u(-10).\n' | b'12\n' | b'Let j(c) = c - 3. Let n(h) = -3*h + 8. Let u(f) = 2*j(f) + n(f). Give u(-10).\n' | b'12\n' | deepmind/math_dataset |
b'Let i(h) be the first derivative of -15*h**2/2 + 246*h + 3624. What is i(16)?\n' | b'6\n' | b'Let i(h) be the first derivative of -15*h**2/2 + 246*h + 3624. What is i(16)?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (x**(1/3)*x/x**9)/(x*x**(-6)*x**(-15)/x) assuming x is positive.\n' | b'x**(40/3)\n' | b'Simplify (x**(1/3)*x/x**9)/(x*x**(-6)*x**(-15)/x) assuming x is positive.\n' | b'x**(40/3)\n' | deepmind/math_dataset |
b'Suppose 4*m - 2*i = 184, -4*m - i + 99 = -79. Suppose 95 = -5*z - m. Let f = z - -20. Let y(g) = g. Determine y(f).\n' | b'-8\n' | b'Suppose 4*m - 2*i = 184, -4*m - i + 99 = -79. Suppose 95 = -5*z - m. Let f = z - -20. Let y(g) = g. Determine y(f).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, w: 2}.\n' | b'3/10\n' | b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, w: 2}.\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of picking 2 z and 2 t when four letters picked without replacement from zzzzttfzztttf?\n' | b'30/143\n' | b'What is prob of picking 2 z and 2 t when four letters picked without replacement from zzzzttfzztttf?\n' | b'30/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 a when two letters picked without replacement from texhbxa.\n' | b'1/21\n' | b'Calculate prob of picking 1 e and 1 a when two letters picked without replacement from texhbxa.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let c(s) be the second derivative of 53*s**8/56 + 53*s**4/12 + 7*s + 3. Find the third derivative of c(o) wrt o.\n' | b'6360*o**3\n' | b'Let c(s) be the second derivative of 53*s**8/56 + 53*s**4/12 + 7*s + 3. Find the third derivative of c(o) wrt o.\n' | b'6360*o**3\n' | deepmind/math_dataset |
b'Let a(b) be the first derivative of -b**5/10 - b**4/3 - b + 3. Let p(k) be the first derivative of a(k). Find the third derivative of p(d) wrt d.\n' | b'-12\n' | b'Let a(b) be the first derivative of -b**5/10 - b**4/3 - b + 3. Let p(k) be the first derivative of a(k). Find the third derivative of p(d) wrt d.\n' | b'-12\n' | deepmind/math_dataset |
b'Let d = -106 + 49. Let n = d + 59. Solve 0 = -4*o - 2*a + 22, -n*a + 7*a = -o + 10 for o.\n' | b'5\n' | b'Let d = -106 + 49. Let n = d + 59. Solve 0 = -4*o - 2*a + 22, -n*a + 7*a = -o + 10 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 2 z, and 1 y when four letters picked without replacement from zqzzxyyzx.\n' | b'2/21\n' | b'Calculate prob of picking 1 q, 2 z, and 1 y when four letters picked without replacement from zqzzxyyzx.\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose 3*j - 3*w - w - 34 = 0, -w - 16 = -2*j. Let g(l) = -l**3 + 7*l**2 - 5*l - 8. Give g(j).\n' | b'-2\n' | b'Suppose 3*j - 3*w - w - 34 = 0, -w - 16 = -2*j. Let g(l) = -l**3 + 7*l**2 - 5*l - 8. Give g(j).\n' | b'-2\n' | deepmind/math_dataset |
b'Let z(t) = 5*t - 26. Let c(x) = -9*x + 53. Let q(h) = -4*c(h) - 7*z(h). Let m be q(32). Solve 9 = -3*a - 4*i, 3*a - m*a - 16 = 5*i for a.\n' | b'1\n' | b'Let z(t) = 5*t - 26. Let c(x) = -9*x + 53. Let q(h) = -4*c(h) - 7*z(h). Let m be q(32). Solve 9 = -3*a - 4*i, 3*a - m*a - 16 = 5*i for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let a(i) = -i**3 + 6*i**2 - 6*i + 7. Let y(s) = -326*s**2 + 648*s**2 - 325*s**2 - s**3 + 0 - 3 - 6*s. Let p be y(-2). What is a(p)?\n' | b'2\n' | b'Let a(i) = -i**3 + 6*i**2 - 6*i + 7. Let y(s) = -326*s**2 + 648*s**2 - 325*s**2 - s**3 + 0 - 3 - 6*s. Let p be y(-2). What is a(p)?\n' | b'2\n' | deepmind/math_dataset |
b'Let d(a) = -22*a**2 - 3*a + 2. Let u(t) = -4 + 11*t**2 + 26*t + 3 - 25*t. Let h(k) = 2*d(k) + 5*u(k). Calculate h(-1).\n' | b'11\n' | b'Let d(a) = -22*a**2 - 3*a + 2. Let u(t) = -4 + 11*t**2 + 26*t + 3 - 25*t. Let h(k) = 2*d(k) + 5*u(k). Calculate h(-1).\n' | b'11\n' | deepmind/math_dataset |
b'Let f = -11 - -12. Let k(t) = t - 3 - f + 2. What is k(5)?\n' | b'3\n' | b'Let f = -11 - -12. Let k(t) = t - 3 - f + 2. What is k(5)?\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 5, l: 1, k: 5}. Give prob of picking 3 o and 1 k.\n' | b'5/33\n' | b'Four letters picked without replacement from {o: 5, l: 1, k: 5}. Give prob of picking 3 o and 1 k.\n' | b'5/33\n' | deepmind/math_dataset |
b'What is prob of sequence pvj when three letters picked without replacement from avavaijavpyvav?\n' | b'5/2184\n' | b'What is prob of sequence pvj when three letters picked without replacement from avavaijavpyvav?\n' | b'5/2184\n' | deepmind/math_dataset |
b'Let x(z) be the third derivative of 1/6*z**3 + 0*z - 1/60*z**5 + 0*z**4 + 0 - z**2. Differentiate x(f) with respect to f.\n' | b'-2*f\n' | b'Let x(z) be the third derivative of 1/6*z**3 + 0*z - 1/60*z**5 + 0*z**4 + 0 - z**2. Differentiate x(f) with respect to f.\n' | b'-2*f\n' | deepmind/math_dataset |
b'Suppose -2*x = -8, 0*x - 376 = -4*v - 4*x. Suppose 0*d - 2*d - v = 0. Let y be ((-36)/d)/(2/10). Solve -y*z = -3*f - 14, z - 3 = f + 1 for z.\n' | b'2\n' | b'Suppose -2*x = -8, 0*x - 376 = -4*v - 4*x. Suppose 0*d - 2*d - v = 0. Let y be ((-36)/d)/(2/10). Solve -y*z = -3*f - 14, z - 3 = f + 1 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 14, u: 1, p: 2, o: 2}. What is prob of picking 1 u and 1 g?\n' | b'14/171\n' | b'Two letters picked without replacement from {g: 14, u: 1, p: 2, o: 2}. What is prob of picking 1 u and 1 g?\n' | b'14/171\n' | deepmind/math_dataset |
b'Suppose 12 - 2 = 5*g. Let k(c) = 3*c + 5*c + 4*c**2 - g*c - c**3. Let r be k(5). Solve 0 = -2*d - r*h + 21, 0*d - d + 2*h = 12 for d.\n' | b'-2\n' | b'Suppose 12 - 2 = 5*g. Let k(c) = 3*c + 5*c + 4*c**2 - g*c - c**3. Let r be k(5). Solve 0 = -2*d - r*h + 21, 0*d - d + 2*h = 12 for d.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the third derivative of -1238*r**3 - 424 - 1418*r**2 + 877 - 453 wrt r?\n' | b'-7428\n' | b'What is the third derivative of -1238*r**3 - 424 - 1418*r**2 + 877 - 453 wrt r?\n' | b'-7428\n' | deepmind/math_dataset |
b'Suppose 0 = -0*l + 2*l + 6. Let y be 4/l*(-15)/10. Suppose -2*q - 13 + 12 = -a, 5*q = y*a - 2. Solve r - 1 = -j + a, 3*r = 15 for j.\n' | b'-3\n' | b'Suppose 0 = -0*l + 2*l + 6. Let y be 4/l*(-15)/10. Suppose -2*q - 13 + 12 = -a, 5*q = y*a - 2. Solve r - 1 = -j + a, 3*r = 15 for j.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence hckk when four letters picked without replacement from {e: 3, m: 3, c: 4, h: 3, z: 1, k: 2}?\n' | b'1/1820\n' | b'What is prob of sequence hckk when four letters picked without replacement from {e: 3, m: 3, c: 4, h: 3, z: 1, k: 2}?\n' | b'1/1820\n' | deepmind/math_dataset |
b'Let d(c) be the second derivative of -43 + 30*c**2 - 19/12*c**4 - c + 0*c**3 - 1/20*c**5. Differentiate d(f) wrt f.\n' | b'-3*f**2 - 38*f\n' | b'Let d(c) be the second derivative of -43 + 30*c**2 - 19/12*c**4 - c + 0*c**3 - 1/20*c**5. Differentiate d(f) wrt f.\n' | b'-3*f**2 - 38*f\n' | deepmind/math_dataset |
b'Simplify (u**(-2/3)/u**(-4))**(-17)/((u/(u/(((u**6/u*u)/u)/u)))/u**(-4/7))**17 assuming u is positive.\n' | b'u**(-2822/21)\n' | b'Simplify (u**(-2/3)/u**(-4))**(-17)/((u/(u/(((u**6/u*u)/u)/u)))/u**(-4/7))**17 assuming u is positive.\n' | b'u**(-2822/21)\n' | deepmind/math_dataset |
b'Calculate prob of sequence pqqq when four letters picked without replacement from pqqqqqqqpqqpqq.\n' | b'45/364\n' | b'Calculate prob of sequence pqqq when four letters picked without replacement from pqqqqqqqpqqpqq.\n' | b'45/364\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iccwiw. What is prob of sequence iwc?\n' | b'1/15\n' | b'Three letters picked without replacement from iccwiw. What is prob of sequence iwc?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of sequence on when two letters picked without replacement from koppkun?\n' | b'1/42\n' | b'What is prob of sequence on when two letters picked without replacement from koppkun?\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose 0 = 3*d - 3*f + 18, f - 5 - 13 = 5*d. Let o = d - -6. Let z be (3 - -90)*(-1)/(-3). Solve o*g - j = -11, -5*g = -2*j + z - 14 for g.\n' | b'-5\n' | b'Suppose 0 = 3*d - 3*f + 18, f - 5 - 13 = 5*d. Let o = d - -6. Let z be (3 - -90)*(-1)/(-3). Solve o*g - j = -11, -5*g = -2*j + z - 14 for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c(f) = f**2 - 60*f + 372. Let j be c(53). Solve -y - m + 2*m - j = 0, -4*y - 4*m + 4 = 0 for y.\n' | b'0\n' | b'Let c(f) = f**2 - 60*f + 372. Let j be c(53). Solve -y - m + 2*m - j = 0, -4*y - 4*m + 4 = 0 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 f and 1 v when four letters picked without replacement from vlfffffiffffffflvff.\n' | b'182/969\n' | b'Calculate prob of picking 3 f and 1 v when four letters picked without replacement from vlfffffiffffffflvff.\n' | b'182/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 1, n: 7, z: 1, v: 2, c: 5}. What is prob of sequence eznz?\n' | b'0\n' | b'Four letters picked without replacement from {e: 1, n: 7, z: 1, v: 2, c: 5}. What is prob of sequence eznz?\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 7, j: 3, o: 6, r: 3}. Give prob of sequence jrii.\n' | b'21/5168\n' | b'Four letters picked without replacement from {i: 7, j: 3, o: 6, r: 3}. Give prob of sequence jrii.\n' | b'21/5168\n' | deepmind/math_dataset |
b'Let f = -19 + 21. Solve 0 = k - f*k + n, 4*k + 35 = -3*n for k.\n' | b'-5\n' | b'Let f = -19 + 21. Solve 0 = k - f*k + n, 4*k + 35 = -3*n for k.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence hc when two letters picked without replacement from cvccvhhccccc?\n' | b'4/33\n' | b'What is prob of sequence hc when two letters picked without replacement from cvccvhhccccc?\n' | b'4/33\n' | deepmind/math_dataset |
b'Suppose -2*w + 7 = -w. Suppose 4*h - 4 = 0, 0 = -2*y + 5*h - 2 + w. Solve 3*j - 4 = -y*c + 36, -5*j + 5*c = 0 for j.\n' | b'5\n' | b'Suppose -2*w + 7 = -w. Suppose 4*h - 4 = 0, 0 = -2*y + 5*h - 2 + w. Solve 3*j - 4 = -y*c + 36, -5*j + 5*c = 0 for j.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 3 t and 1 z when four letters picked without replacement from {t: 9, z: 2}?\n' | b'28/55\n' | b'What is prob of picking 3 t and 1 z when four letters picked without replacement from {t: 9, z: 2}?\n' | b'28/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jwwwbwjwjbwjjbabwwbw. What is prob of sequence jbab?\n' | b'5/5814\n' | b'Four letters picked without replacement from jwwwbwjwjbwjjbabwwbw. What is prob of sequence jbab?\n' | b'5/5814\n' | deepmind/math_dataset |
b'What is prob of sequence ramm when four letters picked without replacement from rsssslmrslsrssslsam?\n' | b'1/15504\n' | b'What is prob of sequence ramm when four letters picked without replacement from rsssslmrslsrssslsam?\n' | b'1/15504\n' | deepmind/math_dataset |
b'Let z(f) be the second derivative of -7*f**5/20 - 3*f**4/4 + 3*f. Find the third derivative of z(s) wrt s.\n' | b'-42\n' | b'Let z(f) be the second derivative of -7*f**5/20 - 3*f**4/4 + 3*f. Find the third derivative of z(s) wrt s.\n' | b'-42\n' | deepmind/math_dataset |
b'Let m(y) be the third derivative of y**6/60 - y**5/20 + y**3/6 + 6*y**2. Let q = 7 - 4. Suppose -g + 8 = q*g. Calculate m(g).\n' | b'5\n' | b'Let m(y) be the third derivative of y**6/60 - y**5/20 + y**3/6 + 6*y**2. Let q = 7 - 4. Suppose -g + 8 = q*g. Calculate m(g).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, m: 3}.\n' | b'1/5\n' | b'Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, m: 3}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let z = 5 + -8. Let a(w) = -2*w - 6. Let m(q) = q - 1. Let n(s) = a(s) - 3*m(s). What is n(z)?\n' | b'12\n' | b'Let z = 5 + -8. Let a(w) = -2*w - 6. Let m(q) = q - 1. Let n(s) = a(s) - 3*m(s). What is n(z)?\n' | b'12\n' | deepmind/math_dataset |
b'Let a(o) be the third derivative of 67*o**7/35 + 7*o**5/6 - 2*o**2 + 547. What is the third derivative of a(l) wrt l?\n' | b'9648*l\n' | b'Let a(o) be the third derivative of 67*o**7/35 + 7*o**5/6 - 2*o**2 + 547. What is the third derivative of a(l) wrt l?\n' | b'9648*l\n' | deepmind/math_dataset |
b'What is prob of sequence tm when two letters picked without replacement from {e: 2, a: 4, m: 2, t: 5, z: 4}?\n' | b'5/136\n' | b'What is prob of sequence tm when two letters picked without replacement from {e: 2, a: 4, m: 2, t: 5, z: 4}?\n' | b'5/136\n' | deepmind/math_dataset |
b'Simplify (q**4)**(-23)*q/q**(-2)*q*q**(9/2) assuming q is positive.\n' | b'q**(-167/2)\n' | b'Simplify (q**4)**(-23)*q/q**(-2)*q*q**(9/2) assuming q is positive.\n' | b'q**(-167/2)\n' | deepmind/math_dataset |
b'Let a(o) be the second derivative of 3541*o**5/10 + 1183*o**4/4 - 2277*o. What is the third derivative of a(k) wrt k?\n' | b'42492\n' | b'Let a(o) be the second derivative of 3541*o**5/10 + 1183*o**4/4 - 2277*o. What is the third derivative of a(k) wrt k?\n' | b'42492\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 1, d: 1, h: 2, i: 4, z: 7, c: 3}. Give prob of picking 1 c, 1 z, and 2 h.\n' | b'7/1020\n' | b'Four letters picked without replacement from {o: 1, d: 1, h: 2, i: 4, z: 7, c: 3}. Give prob of picking 1 c, 1 z, and 2 h.\n' | b'7/1020\n' | deepmind/math_dataset |
b'What is prob of sequence mi when two letters picked without replacement from {f: 2, m: 2, k: 4, r: 4, i: 5, j: 2}?\n' | b'5/171\n' | b'What is prob of sequence mi when two letters picked without replacement from {f: 2, m: 2, k: 4, r: 4, i: 5, j: 2}?\n' | b'5/171\n' | deepmind/math_dataset |
b'Calculate prob of sequence ogo when three letters picked without replacement from fooegqg.\n' | b'2/105\n' | b'Calculate prob of sequence ogo when three letters picked without replacement from fooegqg.\n' | b'2/105\n' | deepmind/math_dataset |
b'What is prob of sequence rrr when three letters picked without replacement from rrorooorooorooorroo?\n' | b'35/969\n' | b'What is prob of sequence rrr when three letters picked without replacement from rrorooorooorooorroo?\n' | b'35/969\n' | deepmind/math_dataset |
b'Let a = -3 - -4. Let f = -3 + a. Let z be (8/(-10))/(f/10). Let y(j) = 2*j - 5. Give y(z).\n' | b'3\n' | b'Let a = -3 - -4. Let f = -3 + a. Let z be (8/(-10))/(f/10). Let y(j) = 2*j - 5. Give y(z).\n' | b'3\n' | deepmind/math_dataset |
b'Let g = -89 + -9. Let n = 98 + g. Let y(k) = -k**3 + 10*k**2 - 8*k - 5. Let d be y(9). Solve m - 16 = -3*m - 3*c, d*m - c = n for m.\n' | b'1\n' | b'Let g = -89 + -9. Let n = 98 + g. Let y(k) = -k**3 + 10*k**2 - 8*k - 5. Let d be y(9). Solve m - 16 = -3*m - 3*c, d*m - c = n for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let x(s) = 2*s**2 - 3*s - 3. Suppose 0 = -4*m + 5*d - 0*d - 8, 19 = 5*m + d. What is x(m)?\n' | b'6\n' | b'Let x(s) = 2*s**2 - 3*s - 3. Suppose 0 = -4*m + 5*d - 0*d - 8, 19 = 5*m + d. What is x(m)?\n' | b'6\n' | deepmind/math_dataset |
b'Let h(l) be the second derivative of -l + 0 + 0*l**3 + 0*l**2 - 1/20*l**5 + 1/12*l**4. What is the third derivative of h(i) wrt i?\n' | b'-6\n' | b'Let h(l) be the second derivative of -l + 0 + 0*l**3 + 0*l**2 - 1/20*l**5 + 1/12*l**4. What is the third derivative of h(i) wrt i?\n' | b'-6\n' | deepmind/math_dataset |
b'Let o(l) = -l**2 + 15*l + 60. Let n be o(18). Let m be ((-14)/n - -1)*-3. What is the second derivative of 23*f - m - 49*f + 4 + 32*f**2 wrt f?\n' | b'64\n' | b'Let o(l) = -l**2 + 15*l + 60. Let n be o(18). Let m be ((-14)/n - -1)*-3. What is the second derivative of 23*f - m - 49*f + 4 + 32*f**2 wrt f?\n' | b'64\n' | deepmind/math_dataset |
b'Simplify (c/(c*(c**(-3)*c)/c*c)*(c/(c/c**3))/c*(c*c**(-2)*c)**(1/6))**35 assuming c is positive.\n' | b'c**140\n' | b'Simplify (c/(c*(c**(-3)*c)/c*c)*(c/(c/c**3))/c*(c*c**(-2)*c)**(1/6))**35 assuming c is positive.\n' | b'c**140\n' | deepmind/math_dataset |
b'Simplify d/(d*d**4)*d*(d*d*((d*d/((d*d*d**5*d)/d*d))/d)/d)/d*(d/d**(-1))**9 assuming d is positive.\n' | b'd**8\n' | b'Simplify d/(d*d**4)*d*(d*d*((d*d/((d*d*d**5*d)/d*d))/d)/d)/d*(d/d**(-1))**9 assuming d is positive.\n' | b'd**8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z when two letters picked without replacement from izizzziziizzizzizzii.\n' | b'11/38\n' | b'Calculate prob of picking 2 z when two letters picked without replacement from izizzziziizzizzizzii.\n' | b'11/38\n' | deepmind/math_dataset |
b'Let t be (-2)/(3/(-1*3)). Find the second derivative of 2*d + 3*d**t - 6*d - 2*d**2 + d wrt d.\n' | b'2\n' | b'Let t be (-2)/(3/(-1*3)). Find the second derivative of 2*d + 3*d**t - 6*d - 2*d**2 + d wrt d.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((((g*g*g*((g**(-2/15)/g)/g)/g*g)/g)**18)**(5/11))**(4/5) assuming g is positive.\n' | b'g**(-48/55)\n' | b'Simplify ((((g*g*g*((g**(-2/15)/g)/g)/g*g)/g)**18)**(5/11))**(4/5) assuming g is positive.\n' | b'g**(-48/55)\n' | deepmind/math_dataset |
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