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'Simplify (p**(-3/4)*p)/p**(-3/2)*((p*p**5)/p)/(p/(p/(p/p**(-5)))) assuming p is positive.\n' | b'p**(3/4)\n' | b'Simplify (p**(-3/4)*p)/p**(-3/2)*((p*p**5)/p)/(p/(p/(p/p**(-5)))) assuming p is positive.\n' | b'p**(3/4)\n' | deepmind/math_dataset |
b'Suppose 220*w = -222*w + 148*w + 3528. Solve 6 = 5*y + a, y - w = -a - 10 for y.\n' | b'1\n' | b'Suppose 220*w = -222*w + 148*w + 3528. Solve 6 = 5*y + a, y - w = -a - 10 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, w: 2, n: 2, p: 6, f: 1}. What is prob of sequence fwv?\n' | b'1/660\n' | b'Three letters picked without replacement from {v: 1, w: 2, n: 2, p: 6, f: 1}. What is prob of sequence fwv?\n' | b'1/660\n' | deepmind/math_dataset |
b'Two letters picked without replacement from etuu. Give prob of picking 1 e and 1 t.\n' | b'1/6\n' | b'Two letters picked without replacement from etuu. Give prob of picking 1 e and 1 t.\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 17, p: 3}. Give prob of sequence pp.\n' | b'3/190\n' | b'Two letters picked without replacement from {c: 17, p: 3}. Give prob of sequence pp.\n' | b'3/190\n' | deepmind/math_dataset |
b'Let y be 2*2 - 9/3. Let n be (4/(-6))/(y/(-3)). What is the second derivative of 2 - n + 3*k**2 - 4*k + 0 wrt k?\n' | b'6\n' | b'Let y be 2*2 - 9/3. Let n be (4/(-6))/(y/(-3)). What is the second derivative of 2 - n + 3*k**2 - 4*k + 0 wrt k?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -10*b - 2*l - 673 = -11*b, -3*l - 2692 = -4*b. Let d = 674 - b. Solve -j + 3*y + 19 = -y, -3*j + d = 2*y for j.\n' | b'3\n' | b'Suppose -10*b - 2*l - 673 = -11*b, -3*l - 2692 = -4*b. Let d = 674 - b. Solve -j + 3*y + 19 = -y, -3*j + d = 2*y for j.\n' | b'3\n' | deepmind/math_dataset |
b'What is the derivative of 43 - 51 + 27*d**2 + 13*d**2 wrt d?\n' | b'80*d\n' | b'What is the derivative of 43 - 51 + 27*d**2 + 13*d**2 wrt d?\n' | b'80*d\n' | deepmind/math_dataset |
b'Let x(n) = 3 + 4*n + 2*n - 4 - 5*n. Let s be x(3). Let o(c) = s*c + 3 + 3*c**2 - 7*c**2 - 3*c - c**3. Calculate o(-3).\n' | b'-3\n' | b'Let x(n) = 3 + 4*n + 2*n - 4 - 5*n. Let s be x(3). Let o(c) = s*c + 3 + 3*c**2 - 7*c**2 - 3*c - c**3. Calculate o(-3).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify k**(10/9)/k**(1/6) assuming k is positive.\n' | b'k**(17/18)\n' | b'Simplify k**(10/9)/k**(1/6) assuming k is positive.\n' | b'k**(17/18)\n' | deepmind/math_dataset |
b'Let g(o) = -o**3 + 6*o**2 + o + 1. Let d be g(6). What is the second derivative of 7 - 2*z + 4*z**2 - d wrt z?\n' | b'8\n' | b'Let g(o) = -o**3 + 6*o**2 + o + 1. Let d be g(6). What is the second derivative of 7 - 2*z + 4*z**2 - d wrt z?\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of picking 3 h when three letters picked without replacement from hlhhlhh?\n' | b'2/7\n' | b'What is prob of picking 3 h when three letters picked without replacement from hlhhlhh?\n' | b'2/7\n' | deepmind/math_dataset |
b'Simplify m**(7/6)/m*m**14*m*m*m*m*(m**(-4/9))**(4/9) assuming m is positive.\n' | b'm**(2911/162)\n' | b'Simplify m**(7/6)/m*m**14*m*m*m*m*(m**(-4/9))**(4/9) assuming m is positive.\n' | b'm**(2911/162)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mefmvtuf.\n' | b'1/14\n' | b'Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mefmvtuf.\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qnqnuunqqnn. What is prob of picking 1 u, 1 n, and 1 q?\n' | b'8/33\n' | b'Three letters picked without replacement from qnqnuunqqnn. What is prob of picking 1 u, 1 n, and 1 q?\n' | b'8/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence ff when two letters picked without replacement from nfnfnfnnnn.\n' | b'1/15\n' | b'Calculate prob of sequence ff when two letters picked without replacement from nfnfnfnnnn.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 y, and 1 b when three letters picked without replacement from ybyhbhbyyhyhh?\n' | b'75/286\n' | b'What is prob of picking 1 h, 1 y, and 1 b when three letters picked without replacement from ybyhbhbyyhyhh?\n' | b'75/286\n' | deepmind/math_dataset |
b'Simplify (f**(4/7)/(f*f*f/(f*f*f**1)*f))/(f**(-8/3)*(f*f**(-8/3)/f)/f) assuming f is positive.\n' | b'f**(124/21)\n' | b'Simplify (f**(4/7)/(f*f*f/(f*f*f**1)*f))/(f**(-8/3)*(f*f**(-8/3)/f)/f) assuming f is positive.\n' | b'f**(124/21)\n' | deepmind/math_dataset |
b'Simplify (((c*c**3)/(c**(-1/4)*c)*c**(-6)/(c**(-2)/c))**(6/13))**27 assuming c is positive.\n' | b'c**(81/26)\n' | b'Simplify (((c*c**3)/(c**(-1/4)*c)*c**(-6)/(c**(-2)/c))**(6/13))**27 assuming c is positive.\n' | b'c**(81/26)\n' | deepmind/math_dataset |
b'Suppose 2*w - 24 = 6. Let t be ((-48)/w)/(4/(-10)). Solve -1 = 5*h - 4*o, t*h + 3*o + 8 = 3*h for h.\n' | b'-1\n' | b'Suppose 2*w - 24 = 6. Let t be ((-48)/w)/(4/(-10)). Solve -1 = 5*h - 4*o, t*h + 3*o + 8 = 3*h for h.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 2 c when four letters picked without replacement from wvvcvwvvvwccvw?\n' | b'9/143\n' | b'What is prob of picking 2 v and 2 c when four letters picked without replacement from wvvcvwvvvwccvw?\n' | b'9/143\n' | deepmind/math_dataset |
b'Calculate prob of sequence ldc when three letters picked without replacement from {d: 5, y: 1, j: 5, l: 2, c: 5, q: 1}.\n' | b'25/2907\n' | b'Calculate prob of sequence ldc when three letters picked without replacement from {d: 5, y: 1, j: 5, l: 2, c: 5, q: 1}.\n' | b'25/2907\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 3, e: 6, f: 3, o: 1}. What is prob of picking 3 f?\n' | b'1/286\n' | b'Three letters picked without replacement from {w: 3, e: 6, f: 3, o: 1}. What is prob of picking 3 f?\n' | b'1/286\n' | deepmind/math_dataset |
b'Simplify (m*m/(m*m/((m*m*m**24*m*m)/m)))**(1/13)/(m**(-2/11)/(m/m**38)) assuming m is positive.\n' | b'm**(-4968/143)\n' | b'Simplify (m*m/(m*m/((m*m*m**24*m*m)/m)))**(1/13)/(m**(-2/11)/(m/m**38)) assuming m is positive.\n' | b'm**(-4968/143)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eaeoqqccaqaqqaaqea. Give prob of picking 3 a and 1 c.\n' | b'2/153\n' | b'Four letters picked without replacement from eaeoqqccaqaqqaaqea. Give prob of picking 3 a and 1 c.\n' | b'2/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dmcmdddccdccdd. What is prob of picking 1 c and 1 m?\n' | b'10/91\n' | b'Two letters picked without replacement from dmcmdddccdccdd. What is prob of picking 1 c and 1 m?\n' | b'10/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yqrhrkykyk. What is prob of sequence yyyh?\n' | b'1/840\n' | b'Four letters picked without replacement from yqrhrkykyk. What is prob of sequence yyyh?\n' | b'1/840\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzvzzzvzvzzzzzzz. Give prob of picking 2 z.\n' | b'13/20\n' | b'Two letters picked without replacement from zzvzzzvzvzzzzzzz. Give prob of picking 2 z.\n' | b'13/20\n' | deepmind/math_dataset |
b'Let x be 18/81 - 34/(-9). Suppose 2 + 10 = -x*o, 0 = 2*h - 3*o - 19. What is the third derivative of 27*u**2 + 87*u**5 + 0*u**2 - 55*u**h wrt u?\n' | b'1920*u**2\n' | b'Let x be 18/81 - 34/(-9). Suppose 2 + 10 = -x*o, 0 = 2*h - 3*o - 19. What is the third derivative of 27*u**2 + 87*u**5 + 0*u**2 - 55*u**h wrt u?\n' | b'1920*u**2\n' | deepmind/math_dataset |
b'What is prob of sequence qg when two letters picked without replacement from qxxqggqqqx?\n' | b'1/9\n' | b'What is prob of sequence qg when two letters picked without replacement from qxxqggqqqx?\n' | b'1/9\n' | deepmind/math_dataset |
b'Let q(m) be the second derivative of -m**3/6 + 11*m**2/2 - 802*m. Give q(-8).\n' | b'19\n' | b'Let q(m) be the second derivative of -m**3/6 + 11*m**2/2 - 802*m. Give q(-8).\n' | b'19\n' | deepmind/math_dataset |
b'What is prob of picking 2 x and 1 q when three letters picked without replacement from oqxwwqqxwqqqqfqoxwqx?\n' | b'9/190\n' | b'What is prob of picking 2 x and 1 q when three letters picked without replacement from oqxwwqqxwqqqqfqoxwqx?\n' | b'9/190\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 2, u: 2, w: 3, a: 2}. What is prob of picking 1 o, 1 u, and 1 a?\n' | b'2/21\n' | b'Three letters picked without replacement from {o: 2, u: 2, w: 3, a: 2}. What is prob of picking 1 o, 1 u, and 1 a?\n' | b'2/21\n' | deepmind/math_dataset |
b'What is the third derivative of -74*h**3 - 2*h**4 - 419*h**2 + 1077030 - 1077030 wrt h?\n' | b'-48*h - 444\n' | b'What is the third derivative of -74*h**3 - 2*h**4 - 419*h**2 + 1077030 - 1077030 wrt h?\n' | b'-48*h - 444\n' | deepmind/math_dataset |
b'Simplify (((m/m**(1/16))/m*m*((m*m**(1/9)*m*m*m)/m)/m*(m/(m*m/m**(-1/3)*m))**(-30))**(12/13))**(-1/9) assuming m is positive.\n' | b'm**(-10519/1404)\n' | b'Simplify (((m/m**(1/16))/m*m*((m*m**(1/9)*m*m*m)/m)/m*(m/(m*m/m**(-1/3)*m))**(-30))**(12/13))**(-1/9) assuming m is positive.\n' | b'm**(-10519/1404)\n' | deepmind/math_dataset |
b'Let s(t) = -t**2 + 2*t + 15. Let r(i) = -13*i + 111. Let h be r(8). Give s(h).\n' | b'-20\n' | b'Let s(t) = -t**2 + 2*t + 15. Let r(i) = -13*i + 111. Let h be r(8). Give s(h).\n' | b'-20\n' | deepmind/math_dataset |
b'Simplify (((x/x**0)**(-22)/((x/(x*x/x**(1/4)))/(x**1*x)))**(-1/11))**45 assuming x is positive.\n' | b'x**(315/4)\n' | b'Simplify (((x/x**0)**(-22)/((x/(x*x/x**(1/4)))/(x**1*x)))**(-1/11))**45 assuming x is positive.\n' | b'x**(315/4)\n' | deepmind/math_dataset |
b'Let v(g) = g**2 + 3*g**3 + 3 - 3*g**3 - g**3. Let d be v(0). What is the second derivative of -14 - 2*m**d + 14 - 3*m wrt m?\n' | b'-12*m\n' | b'Let v(g) = g**2 + 3*g**3 + 3 - 3*g**3 - g**3. Let d be v(0). What is the second derivative of -14 - 2*m**d + 14 - 3*m wrt m?\n' | b'-12*m\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 b when two letters picked without replacement from ovyvyb?\n' | b'2/15\n' | b'What is prob of picking 1 v and 1 b when two letters picked without replacement from ovyvyb?\n' | b'2/15\n' | deepmind/math_dataset |
b'What is the second derivative of -10*v**5 - 15*v**4 - 49*v + 20*v**4 - 6*v**4 wrt v?\n' | b'-200*v**3 - 12*v**2\n' | b'What is the second derivative of -10*v**5 - 15*v**4 - 49*v + 20*v**4 - 6*v**4 wrt v?\n' | b'-200*v**3 - 12*v**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, j: 2}. What is prob of sequence ijj?\n' | b'1/6\n' | b'Three letters picked without replacement from {i: 2, j: 2}. What is prob of sequence ijj?\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3, d: 1}. Give prob of picking 2 p.\n' | b'1/2\n' | b'Two letters picked without replacement from {p: 3, d: 1}. Give prob of picking 2 p.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let k be 0/(-6 - -3 - 1). Let x(r) = r**3 + 7*r**2 + 6*r + 1. Let l be x(-4). Solve -i + 5*i + 5*q - 20 = 0, 5*i - 3*q - l = k for i.\n' | b'5\n' | b'Let k be 0/(-6 - -3 - 1). Let x(r) = r**3 + 7*r**2 + 6*r + 1. Let l be x(-4). Solve -i + 5*i + 5*q - 20 = 0, 5*i - 3*q - l = k for i.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 1, v: 1, i: 1, y: 3, c: 1}. Give prob of picking 2 y, 1 v, and 1 i.\n' | b'3/35\n' | b'Four letters picked without replacement from {f: 1, v: 1, i: 1, y: 3, c: 1}. Give prob of picking 2 y, 1 v, and 1 i.\n' | b'3/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fknkfkfkff. Give prob of picking 1 f and 1 n.\n' | b'1/9\n' | b'Two letters picked without replacement from fknkfkfkff. Give prob of picking 1 f and 1 n.\n' | b'1/9\n' | deepmind/math_dataset |
b'Let a = -3 - -3. Suppose 0 = -3*h + z + 4, h + 1 - 9 = -3*z. Solve 0 = w - a*w + v + 1, -h*w - v - 1 = 0 for w.\n' | b'0\n' | b'Let a = -3 - -3. Suppose 0 = -3*h + z + 4, h + 1 - 9 = -3*z. Solve 0 = w - a*w + v + 1, -h*w - v - 1 = 0 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (j**9*j**7*j)**21 assuming j is positive.\n' | b'j**357\n' | b'Simplify (j**9*j**7*j)**21 assuming j is positive.\n' | b'j**357\n' | deepmind/math_dataset |
b'Suppose -9*s + 14*s = -l + 26, 4*s = 3*l + 36. Solve 2*c + 3 = 3*g, -13 + s = -2*g + 3*c for g.\n' | b'-1\n' | b'Suppose -9*s + 14*s = -l + 26, 4*s = 3*l + 36. Solve 2*c + 3 = 3*g, -13 + s = -2*g + 3*c for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w be 3944/88 - (-4)/22. Let n be w/4 + 3/(-12). Solve b - 2 = 0, 5*b + n - 46 = -5*d for d.\n' | b'5\n' | b'Let w be 3944/88 - (-4)/22. Let n be w/4 + 3/(-12). Solve b - 2 = 0, 5*b + n - 46 = -5*d for d.\n' | b'5\n' | deepmind/math_dataset |
b'Let g(a) be the first derivative of -3*a**2/2 + 7*a + 8. Let w = 2743 - 2737. Calculate g(w).\n' | b'-11\n' | b'Let g(a) be the first derivative of -3*a**2/2 + 7*a + 8. Let w = 2743 - 2737. Calculate g(w).\n' | b'-11\n' | deepmind/math_dataset |
b'Let j(h) = -h**2 + h + 114. Let t be j(11). Solve 20*n - 19*n = -l - 1, -t*n + 12 = 0 for l.\n' | b'-4\n' | b'Let j(h) = -h**2 + h + 114. Let t be j(11). Solve 20*n - 19*n = -l - 1, -t*n + 12 = 0 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g(s) = -10*s. Suppose 31 = 5*w + 61. Let h be (3 + -2)*w + (15 - 7). What is g(h)?\n' | b'-20\n' | b'Let g(s) = -10*s. Suppose 31 = 5*w + 61. Let h be (3 + -2)*w + (15 - 7). What is g(h)?\n' | b'-20\n' | deepmind/math_dataset |
b'Simplify (f**2/(f/f**(-7)*f))**(2/49) assuming f is positive.\n' | b'f**(-2/7)\n' | b'Simplify (f**2/(f/f**(-7)*f))**(2/49) assuming f is positive.\n' | b'f**(-2/7)\n' | deepmind/math_dataset |
b'Let b(w) be the third derivative of 0*w**4 + 5*w**2 + 1 + 0*w + 0*w**5 - 41/6*w**3 + 77/120*w**6. Find the first derivative of b(z) wrt z.\n' | b'231*z**2\n' | b'Let b(w) be the third derivative of 0*w**4 + 5*w**2 + 1 + 0*w + 0*w**5 - 41/6*w**3 + 77/120*w**6. Find the first derivative of b(z) wrt z.\n' | b'231*z**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence epez when four letters picked without replacement from {z: 5, e: 8, p: 2}.\n' | b'2/117\n' | b'Calculate prob of sequence epez when four letters picked without replacement from {z: 5, e: 8, p: 2}.\n' | b'2/117\n' | deepmind/math_dataset |
b'Calculate prob of sequence vvyy when four letters picked without replacement from yyyyyyvyvyyyyyyyyy.\n' | b'1/153\n' | b'Calculate prob of sequence vvyy when four letters picked without replacement from yyyyyyvyvyyyyyyyyy.\n' | b'1/153\n' | deepmind/math_dataset |
b'Let g(p) be the third derivative of -p**4/12 + 4*p**3/3 + 6*p**2. Calculate g(6).\n' | b'-4\n' | b'Let g(p) be the third derivative of -p**4/12 + 4*p**3/3 + 6*p**2. Calculate g(6).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence wh when two letters picked without replacement from wwbhbxxhhwbnxhxwxnwu?\n' | b'1/19\n' | b'What is prob of sequence wh when two letters picked without replacement from wwbhbxxhhwbnxhxwxnwu?\n' | b'1/19\n' | deepmind/math_dataset |
b'Simplify (i**(-1))**(15/11)/(i*i**(-1/2)*i*i*i**5) assuming i is positive.\n' | b'i**(-195/22)\n' | b'Simplify (i**(-1))**(15/11)/(i*i**(-1/2)*i*i*i**5) assuming i is positive.\n' | b'i**(-195/22)\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjxl when four letters picked without replacement from xjlxjlxll.\n' | b'1/126\n' | b'Calculate prob of sequence jjxl when four letters picked without replacement from xjlxjlxll.\n' | b'1/126\n' | deepmind/math_dataset |
b'Suppose 7*d - 12 = 3*d. Suppose 3 = -d*x + 9. Suppose 0*z + 4*y = x*z - 10, 5*y = 0. Solve -5*b + 5*o - 30 = 0, z*o = -b + 2*b + 18 for b.\n' | b'-3\n' | b'Suppose 7*d - 12 = 3*d. Suppose 3 = -d*x + 9. Suppose 0*z + 4*y = x*z - 10, 5*y = 0. Solve -5*b + 5*o - 30 = 0, z*o = -b + 2*b + 18 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, v: 1, k: 2, l: 1, x: 2}. Give prob of picking 1 v, 1 a, and 1 x.\n' | b'1/14\n' | b'Three letters picked without replacement from {a: 2, v: 1, k: 2, l: 1, x: 2}. Give prob of picking 1 v, 1 a, and 1 x.\n' | b'1/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from teeeeemmmeaeeat. Give prob of sequence ma.\n' | b'1/35\n' | b'Two letters picked without replacement from teeeeemmmeaeeat. Give prob of sequence ma.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 5*t + 125 = -5. Let o(g) = -8*g - 203. Let p be o(t). Solve 0*i - 9 = -3*i + 3*s, 0 = 3*i + 4*s + p for i.\n' | b'1\n' | b'Suppose 5*t + 125 = -5. Let o(g) = -8*g - 203. Let p be o(t). Solve 0*i - 9 = -3*i + 3*s, 0 = 3*i + 4*s + p for i.\n' | b'1\n' | deepmind/math_dataset |
b'Let t be 9/3 + 24 - 4. Suppose 11*p + 1 = t. Solve -2*y + 4 = y + h, p*h - 5 = -3*y for y.\n' | b'1\n' | b'Let t be 9/3 + 24 - 4. Suppose 11*p + 1 = t. Solve -2*y + 4 = y + h, p*h - 5 = -3*y for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let o(m) = m - 7. Let f be 24/9 + -3 + (-110)/(-15). Determine o(f).\n' | b'0\n' | b'Let o(m) = m - 7. Let f be 24/9 + -3 + (-110)/(-15). Determine o(f).\n' | b'0\n' | deepmind/math_dataset |
b'Let p = -30 + 42. Suppose p*d = 11*d + 4. Solve -7*j + 14 = 4*t - 2*j, 4*j - d = 4*t for t.\n' | b'1\n' | b'Let p = -30 + 42. Suppose p*d = 11*d + 4. Solve -7*j + 14 = 4*t - 2*j, 4*j - d = 4*t for t.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 2, v: 7, b: 3, u: 4, o: 1}. Give prob of sequence ub.\n' | b'3/68\n' | b'Two letters picked without replacement from {x: 2, v: 7, b: 3, u: 4, o: 1}. Give prob of sequence ub.\n' | b'3/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 4, v: 3}. What is prob of picking 1 v and 3 f?\n' | b'12/35\n' | b'Four letters picked without replacement from {f: 4, v: 3}. What is prob of picking 1 v and 3 f?\n' | b'12/35\n' | deepmind/math_dataset |
b'What is prob of sequence vi when two letters picked without replacement from {g: 2, i: 5, a: 4, z: 2, v: 1}?\n' | b'5/182\n' | b'What is prob of sequence vi when two letters picked without replacement from {g: 2, i: 5, a: 4, z: 2, v: 1}?\n' | b'5/182\n' | deepmind/math_dataset |
b'Suppose -61 = -123*k + 36 + 149. Solve 2*p = -13*a + 4*p + 44, -k*a = p - 12 for a.\n' | b'4\n' | b'Suppose -61 = -123*k + 36 + 149. Solve 2*p = -13*a + 4*p + 44, -k*a = p - 12 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Let q(s) be the third derivative of -s**6/120 + s**4/12 - 21*s**2. What is q(-2)?\n' | b'4\n' | b'Let q(s) be the third derivative of -s**6/120 + s**4/12 - 21*s**2. What is q(-2)?\n' | b'4\n' | deepmind/math_dataset |
b'Let s(u) be the third derivative of 15*u**2 + 0*u**3 + 0*u + 1/4*u**4 + 7/60*u**6 + 0*u**5 + 0. Find the second derivative of s(w) wrt w.\n' | b'84*w\n' | b'Let s(u) be the third derivative of 15*u**2 + 0*u**3 + 0*u + 1/4*u**4 + 7/60*u**6 + 0*u**5 + 0. Find the second derivative of s(w) wrt w.\n' | b'84*w\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qrkqkqrkurrkkkkrukk. Give prob of sequence ruur.\n' | b'5/11628\n' | b'Four letters picked without replacement from qrkqkqrkurrkkkkrukk. Give prob of sequence ruur.\n' | b'5/11628\n' | deepmind/math_dataset |
b'Suppose 4*l - 20 = -l. Suppose -4*q = 4*z - 19 - 9, 4*z - l = 4*q. Let d be 1 - (-1 + q/(-3)). Solve s + 0*o = -3*o + 16, 4*o = d*s + 17 for s.\n' | b'1\n' | b'Suppose 4*l - 20 = -l. Suppose -4*q = 4*z - 19 - 9, 4*z - l = 4*q. Let d be 1 - (-1 + q/(-3)). Solve s + 0*o = -3*o + 16, 4*o = d*s + 17 for s.\n' | b'1\n' | deepmind/math_dataset |
b'Let g(o) = 3*o. Let l(f) = 2*f + 17. Let n be l(-7). Suppose 7 = n*y + 1. Suppose -4*u = -y*t + 2, 0*t = -t - 2*u - 3. Give g(t).\n' | b'-3\n' | b'Let g(o) = 3*o. Let l(f) = 2*f + 17. Let n be l(-7). Suppose 7 = n*y + 1. Suppose -4*u = -y*t + 2, 0*t = -t - 2*u - 3. Give g(t).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hzhzxzhz. Give prob of sequence zh.\n' | b'3/14\n' | b'Two letters picked without replacement from hzhzxzhz. Give prob of sequence zh.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let n = -3 + 0. Let d = n - -12. What is the first derivative of 194 + t**2 - d*t**3 - t**2 - 176 wrt t?\n' | b'-27*t**2\n' | b'Let n = -3 + 0. Let d = n - -12. What is the first derivative of 194 + t**2 - d*t**3 - t**2 - 176 wrt t?\n' | b'-27*t**2\n' | deepmind/math_dataset |
b'Simplify (q/((q*q/q**7*q)/q)*q)/(q/(q*q**6)) assuming q is positive.\n' | b'q**13\n' | b'Simplify (q/((q*q/q**7*q)/q)*q)/(q/(q*q**6)) assuming q is positive.\n' | b'q**13\n' | deepmind/math_dataset |
b'Let y = -19 + 16. Let a(h) = 2*h**3 + 2. Let s(m) = 5*m**3 + 3. Let r(k) = y*s(k) + 5*a(k). Differentiate r(g) with respect to g.\n' | b'-15*g**2\n' | b'Let y = -19 + 16. Let a(h) = 2*h**3 + 2. Let s(m) = 5*m**3 + 3. Let r(k) = y*s(k) + 5*a(k). Differentiate r(g) with respect to g.\n' | b'-15*g**2\n' | deepmind/math_dataset |
b'Let z(a) be the first derivative of -50*a**3/3 - 142*a + 88. Find the first derivative of z(y) wrt y.\n' | b'-100*y\n' | b'Let z(a) be the first derivative of -50*a**3/3 - 142*a + 88. Find the first derivative of z(y) wrt y.\n' | b'-100*y\n' | deepmind/math_dataset |
b'Calculate prob of sequence uak when three letters picked without replacement from {y: 1, a: 1, x: 1, u: 1, k: 1}.\n' | b'1/60\n' | b'Calculate prob of sequence uak when three letters picked without replacement from {y: 1, a: 1, x: 1, u: 1, k: 1}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bnnbbnbnbnnbbnnnbbnb. What is prob of sequence nn?\n' | b'9/38\n' | b'Two letters picked without replacement from bnnbbnbnbnnbbnnnbbnb. What is prob of sequence nn?\n' | b'9/38\n' | deepmind/math_dataset |
b'Suppose 0*b = 4*b. Let z(o) = 11*o - 25. Let r(c) = 42*c - 100. Let f(v) = -2*r(v) + 9*z(v). Let y be f(2). Solve -2*l + 3*t + 2 = b, y*t = -5*l - 0 + 5 for l.\n' | b'1\n' | b'Suppose 0*b = 4*b. Let z(o) = 11*o - 25. Let r(c) = 42*c - 100. Let f(v) = -2*r(v) + 9*z(v). Let y be f(2). Solve -2*l + 3*t + 2 = b, y*t = -5*l - 0 + 5 for l.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = -2*a - 2*a. Let w be (-2 - -10)*(-6 + 3 + 2). Let j be w/(-3) + (-15)/(-45). Solve -j*s + 12 = a, 0*z + 2*z + s = 0 for z.\n' | b'-2\n' | b'Suppose 0 = -2*a - 2*a. Let w be (-2 - -10)*(-6 + 3 + 2). Let j be w/(-3) + (-15)/(-45). Solve -j*s + 12 = a, 0*z + 2*z + s = 0 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 5*v - d - 269 = 0, 2*v - 76 = 5*d + 50. Differentiate -23*m**4 - 26 - 25*m**4 + v*m**4 + 4 - 2*m**3 with respect to m.\n' | b'20*m**3 - 6*m**2\n' | b'Suppose 5*v - d - 269 = 0, 2*v - 76 = 5*d + 50. Differentiate -23*m**4 - 26 - 25*m**4 + v*m**4 + 4 - 2*m**3 with respect to m.\n' | b'20*m**3 - 6*m**2\n' | deepmind/math_dataset |
b'Let c(x) = -x**3 - 10*x**2 - 12*x + 53. Let a = 13335 - 13342. What is c(a)?\n' | b'-10\n' | b'Let c(x) = -x**3 - 10*x**2 - 12*x + 53. Let a = 13335 - 13342. What is c(a)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let k(l) = 3*l - 7. Let t(y) = 328*y - 588. Let d(h) = -3*k(h) - t(h). Find the first derivative of d(p) wrt p.\n' | b'-337\n' | b'Let k(l) = 3*l - 7. Let t(y) = 328*y - 588. Let d(h) = -3*k(h) - t(h). Find the first derivative of d(p) wrt p.\n' | b'-337\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 4, y: 2, a: 2}. What is prob of picking 1 y and 2 s?\n' | b'3/14\n' | b'Three letters picked without replacement from {s: 4, y: 2, a: 2}. What is prob of picking 1 y and 2 s?\n' | b'3/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uuueeueuckuuucuu. What is prob of sequence ue?\n' | b'1/8\n' | b'Two letters picked without replacement from uuueeueuckuuucuu. What is prob of sequence ue?\n' | b'1/8\n' | deepmind/math_dataset |
b'Let w(a) = -a**3 - 7*a**2 + 4*a + 18. Let s be w(-7). Let b(r) = r**3 + 9*r**2 - 12*r - 15. Determine b(s).\n' | b'5\n' | b'Let w(a) = -a**3 - 7*a**2 + 4*a + 18. Let s be w(-7). Let b(r) = r**3 + 9*r**2 - 12*r - 15. Determine b(s).\n' | b'5\n' | deepmind/math_dataset |
b'Let y(p) be the second derivative of 39/2*p**3 + 17*p**2 - 2 + 191*p. Find the first derivative of y(k) wrt k.\n' | b'117\n' | b'Let y(p) be the second derivative of 39/2*p**3 + 17*p**2 - 2 + 191*p. Find the first derivative of y(k) wrt k.\n' | b'117\n' | deepmind/math_dataset |
b'Let f(z) = -2*z - 6. Let v(k) = -1. Let h(m) = f(m) - v(m). Let l be h(-4). Solve -o - l*r = 14, 0 = o - 3*r - r - 14 for o.\n' | b'-2\n' | b'Let f(z) = -2*z - 6. Let v(k) = -1. Let h(m) = f(m) - v(m). Let l be h(-4). Solve -o - l*r = 14, 0 = o - 3*r - r - 14 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 1 t when two letters picked without replacement from lpplllltppptlllpppp?\n' | b'16/171\n' | b'What is prob of picking 1 l and 1 t when two letters picked without replacement from lpplllltppptlllpppp?\n' | b'16/171\n' | deepmind/math_dataset |
b'Simplify f*f*f/f**(-1/8)*f*f*f**(-1/4)*(f*(f/f**5*f)/f)/(f*((f/((f**5/f)/f))/f*f)/f) assuming f is positive.\n' | b'f**(31/8)\n' | b'Simplify f*f*f/f**(-1/8)*f*f*f**(-1/4)*(f*(f/f**5*f)/f)/(f*((f/((f**5/f)/f))/f*f)/f) assuming f is positive.\n' | b'f**(31/8)\n' | deepmind/math_dataset |
b'What is prob of sequence xxx when three letters picked without replacement from hhxfhxfhfxxffhfxxhh?\n' | b'20/969\n' | b'What is prob of sequence xxx when three letters picked without replacement from hhxfhxfhfxxffhfxxhh?\n' | b'20/969\n' | deepmind/math_dataset |
b'Let a be 4/18 - (-96)/54. Let r(n) = -a*n**2 + n**2 - n**3 - 89 + 83 - n. Give r(0).\n' | b'-6\n' | b'Let a be 4/18 - (-96)/54. Let r(n) = -a*n**2 + n**2 - n**3 - 89 + 83 - n. Give r(0).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -3*z + 5 + 1 = 0. Solve -14 = -4*u + z*g, -4*u + 4*g = 5*g - 17 for u.\n' | b'4\n' | b'Suppose -3*z + 5 + 1 = 0. Solve -14 = -4*u + z*g, -4*u + 4*g = 5*g - 17 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 1, m: 2, l: 4, y: 6, u: 4}. What is prob of picking 2 m and 2 u?\n' | b'3/1190\n' | b'Four letters picked without replacement from {g: 1, m: 2, l: 4, y: 6, u: 4}. What is prob of picking 2 m and 2 u?\n' | b'3/1190\n' | deepmind/math_dataset |
b'Simplify (y*y**(3/2)*y**(-4)/y*y**(-2)/(y/(y/(y/y**1)*y)))**(-10) assuming y is positive.\n' | b'y**35\n' | b'Simplify (y*y**(3/2)*y**(-4)/y*y**(-2)/(y/(y/(y/y**1)*y)))**(-10) assuming y is positive.\n' | b'y**35\n' | deepmind/math_dataset |
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