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'Calculate prob of picking 1 v and 1 b when two letters picked without replacement from icivxbcxvmvvvm.\n' | b'5/91\n' | b'Calculate prob of picking 1 v and 1 b when two letters picked without replacement from icivxbcxvmvvvm.\n' | b'5/91\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrw when three letters picked without replacement from rjwryyjw.\n' | b'1/84\n' | b'Calculate prob of sequence rrw when three letters picked without replacement from rjwryyjw.\n' | b'1/84\n' | deepmind/math_dataset |
b'What is prob of sequence gyyg when four letters picked without replacement from {g: 2, y: 2}?\n' | b'1/6\n' | b'What is prob of sequence gyyg when four letters picked without replacement from {g: 2, y: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from coccooccvccovvcc. Give prob of sequence coc.\n' | b'3/35\n' | b'Three letters picked without replacement from coccooccvccovvcc. Give prob of sequence coc.\n' | b'3/35\n' | deepmind/math_dataset |
b'Let h be (378/12 - -1)/(1/2). What is the first derivative of 5*x**2 - 52*x**2 - h + 7 wrt x?\n' | b'-94*x\n' | b'Let h be (378/12 - -1)/(1/2). What is the first derivative of 5*x**2 - 52*x**2 - h + 7 wrt x?\n' | b'-94*x\n' | deepmind/math_dataset |
b'Let i(q) = -q**3 + 7*q**2 + 20*q - 16. Let o be i(9). Find the third derivative of -31 - 38*w**3 + 0*w**3 - 2 + o*w**2 - 58*w**3 wrt w.\n' | b'-576\n' | b'Let i(q) = -q**3 + 7*q**2 + 20*q - 16. Let o be i(9). Find the third derivative of -31 - 38*w**3 + 0*w**3 - 2 + o*w**2 - 58*w**3 wrt w.\n' | b'-576\n' | deepmind/math_dataset |
b'Let r(k) be the first derivative of 2*k**6 + 24*k**5/5 - 4*k**3/3 - 9*k**2/2 + 2*k + 3733. Find the second derivative of r(h) wrt h.\n' | b'240*h**3 + 288*h**2 - 8\n' | b'Let r(k) be the first derivative of 2*k**6 + 24*k**5/5 - 4*k**3/3 - 9*k**2/2 + 2*k + 3733. Find the second derivative of r(h) wrt h.\n' | b'240*h**3 + 288*h**2 - 8\n' | deepmind/math_dataset |
b'Let u(s) = -15*s - 7. Let n(k) = -1. Let v(p) = 3*n(p) - u(p). Let w(l) = -7*l - 2. Let a(g) = 3*v(g) + 7*w(g). What is a(-4)?\n' | b'14\n' | b'Let u(s) = -15*s - 7. Let n(k) = -1. Let v(p) = 3*n(p) - u(p). Let w(l) = -7*l - 2. Let a(g) = 3*v(g) + 7*w(g). What is a(-4)?\n' | b'14\n' | deepmind/math_dataset |
b'Calculate prob of sequence ww when two letters picked without replacement from hbauwbbwbwbwbwaf.\n' | b'1/12\n' | b'Calculate prob of sequence ww when two letters picked without replacement from hbauwbbwbwbwbwaf.\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose -2*s + 6 = 2. Suppose -2*o = 3*f + 5, 4*o - 14 = 6. Let x = s + f. Let c(b) = b**3 + 2*b**2 - 2*b + 3. Give c(x).\n' | b'0\n' | b'Suppose -2*s + 6 = 2. Suppose -2*o = 3*f + 5, 4*o - 14 = 6. Let x = s + f. Let c(b) = b**3 + 2*b**2 - 2*b + 3. Give c(x).\n' | b'0\n' | deepmind/math_dataset |
b'Let s be 2/12 + (-856)/(-48). Suppose 0 = 4*a + 5*j + 24, -2*a - s = -0*j + 4*j. Let h(k) = -14*k**3 - k - 1. Determine h(a).\n' | b'14\n' | b'Let s be 2/12 + (-856)/(-48). Suppose 0 = 4*a + 5*j + 24, -2*a - s = -0*j + 4*j. Let h(k) = -14*k**3 - k - 1. Determine h(a).\n' | b'14\n' | deepmind/math_dataset |
b'Find the third derivative of 2*u**6 + 0*u**6 + 4*u**5 - 4*u**5 - 6*u**2 wrt u.\n' | b'240*u**3\n' | b'Find the third derivative of 2*u**6 + 0*u**6 + 4*u**5 - 4*u**5 - 6*u**2 wrt u.\n' | b'240*u**3\n' | deepmind/math_dataset |
b'Suppose -46 = -4*k + 2. Suppose -3*l = -6*l - k. Let i(z) = z + 6. What is i(l)?\n' | b'2\n' | b'Suppose -46 = -4*k + 2. Suppose -3*l = -6*l - k. Let i(z) = z + 6. What is i(l)?\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wwwlwwuwlluwwuuuu. Give prob of picking 1 w and 2 u.\n' | b'3/17\n' | b'Three letters picked without replacement from wwwlwwuwlluwwuuuu. Give prob of picking 1 w and 2 u.\n' | b'3/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gliglggltlsggglt. Give prob of picking 2 t and 1 l.\n' | b'1/112\n' | b'Three letters picked without replacement from gliglggltlsggglt. Give prob of picking 2 t and 1 l.\n' | b'1/112\n' | deepmind/math_dataset |
b'Let q(d) = d + 4*d + 5 + d**2 - d - 3*d. Let g(j) = j**2 + 2*j + 7. Let p(f) = 5*g(f) - 7*q(f). Find the second derivative of p(i) wrt i.\n' | b'-4\n' | b'Let q(d) = d + 4*d + 5 + d**2 - d - 3*d. Let g(j) = j**2 + 2*j + 7. Let p(f) = 5*g(f) - 7*q(f). Find the second derivative of p(i) wrt i.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 3, q: 3, s: 3, h: 1}. Give prob of picking 2 q, 1 h, and 1 g.\n' | b'3/70\n' | b'Four letters picked without replacement from {g: 3, q: 3, s: 3, h: 1}. Give prob of picking 2 q, 1 h, and 1 g.\n' | b'3/70\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lzlzzzplpllpll. Give prob of sequence pzpz.\n' | b'3/1001\n' | b'Four letters picked without replacement from lzlzzzplpllpll. Give prob of sequence pzpz.\n' | b'3/1001\n' | deepmind/math_dataset |
b'Suppose -5*j - 4*p = -40, 32*j - 41 = 28*j - 5*p. Solve -1 = -4*b - 3*z - 5, 0 = -j*b + 2*z - 24 for b.\n' | b'-4\n' | b'Suppose -5*j - 4*p = -40, 32*j - 41 = 28*j - 5*p. Solve -1 = -4*b - 3*z - 5, 0 = -j*b + 2*z - 24 for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lrrlrrlr. Give prob of picking 3 l and 1 r.\n' | b'1/14\n' | b'Four letters picked without replacement from lrrlrrlr. Give prob of picking 3 l and 1 r.\n' | b'1/14\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 2 e, and 1 c when four letters picked without replacement from ccriewr.\n' | b'0\n' | b'Calculate prob of picking 1 i, 2 e, and 1 c when four letters picked without replacement from ccriewr.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0*o + 2*o = 6. Suppose -3 = 2*g - o*b, 3*b + 4 - 25 = -g. Let c be (-9)/g*(-2)/1. Solve c*v - 2 = 4*w + 12, 5*w + 23 = v for v.\n' | b'-2\n' | b'Suppose 0*o + 2*o = 6. Suppose -3 = 2*g - o*b, 3*b + 4 - 25 = -g. Let c be (-9)/g*(-2)/1. Solve c*v - 2 = 4*w + 12, 5*w + 23 = v for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 4, i: 10}. Give prob of picking 3 e.\n' | b'1/91\n' | b'Three letters picked without replacement from {e: 4, i: 10}. Give prob of picking 3 e.\n' | b'1/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yayayhhxyxa. Give prob of picking 1 h, 2 a, and 1 y.\n' | b'4/55\n' | b'Four letters picked without replacement from yayayhhxyxa. Give prob of picking 1 h, 2 a, and 1 y.\n' | b'4/55\n' | deepmind/math_dataset |
b'Let j(a) = -2*a**2 - 139*a - 277. Let o be j(-2). Let c(m) = 2*m**2 + 4*m + 1. Give c(o).\n' | b'71\n' | b'Let j(a) = -2*a**2 - 139*a - 277. Let o be j(-2). Let c(m) = 2*m**2 + 4*m + 1. Give c(o).\n' | b'71\n' | deepmind/math_dataset |
b'Let b(z) = -8*z**2 + 2*z - 1. Let h be b(2). Let j = 54 + h. Let p be 44/8 - (-1)/(-2). Solve 3*a = -4*r - j, p*r + 5*a + 53 = 18 for r.\n' | b'-4\n' | b'Let b(z) = -8*z**2 + 2*z - 1. Let h be b(2). Let j = 54 + h. Let p be 44/8 - (-1)/(-2). Solve 3*a = -4*r - j, p*r + 5*a + 53 = 18 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -k + 5*p = 2*k + 14, 10 = -2*k + 4*p. Let u = 5 + k. Find the second derivative of -3*n + 4*n - 4*n**3 - u*n + 3*n**3 wrt n.\n' | b'-6*n\n' | b'Suppose -k + 5*p = 2*k + 14, 10 = -2*k + 4*p. Let u = 5 + k. Find the second derivative of -3*n + 4*n - 4*n**3 - u*n + 3*n**3 wrt n.\n' | b'-6*n\n' | deepmind/math_dataset |
b'Let z = 224 + -219. Solve w + 22 = s - 6*s, -z*w = 2*s + 18 for s.\n' | b'-4\n' | b'Let z = 224 + -219. Solve w + 22 = s - 6*s, -z*w = 2*s + 18 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (i**(1/3))**(-1/2)/((i*i*i*i*i/(i*i*i**(-1)))/i*i**(1/5)*i*i) assuming i is positive.\n' | b'i**(-161/30)\n' | b'Simplify (i**(1/3))**(-1/2)/((i*i*i*i*i/(i*i*i**(-1)))/i*i**(1/5)*i*i) assuming i is positive.\n' | b'i**(-161/30)\n' | deepmind/math_dataset |
b'Let b(y) = 402*y**3 - 4*y**2 - 82. Let z(j) = -805*j**3 + 10*j**2 - j + 161. Let w(i) = 5*b(i) + 2*z(i). Find the second derivative of w(r) wrt r.\n' | b'2400*r\n' | b'Let b(y) = 402*y**3 - 4*y**2 - 82. Let z(j) = -805*j**3 + 10*j**2 - j + 161. Let w(i) = 5*b(i) + 2*z(i). Find the second derivative of w(r) wrt r.\n' | b'2400*r\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {f: 6, m: 12}.\n' | b'33/68\n' | b'Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {f: 6, m: 12}.\n' | b'33/68\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 5, x: 2}. What is prob of picking 2 d?\n' | b'10/21\n' | b'Two letters picked without replacement from {d: 5, x: 2}. What is prob of picking 2 d?\n' | b'10/21\n' | deepmind/math_dataset |
b'Simplify (s**(-7)*s/(s/(s**4*s*s)))/(s/s**(2/7)*s*s)**(-1/4)*(s**(-2/3))**20*((s*s**(-1/4))/s)**33 assuming s is positive.\n' | b's**(-460/21)\n' | b'Simplify (s**(-7)*s/(s/(s**4*s*s)))/(s/s**(2/7)*s*s)**(-1/4)*(s**(-2/3))**20*((s*s**(-1/4))/s)**33 assuming s is positive.\n' | b's**(-460/21)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xff. Give prob of sequence ffx.\n' | b'1/3\n' | b'Three letters picked without replacement from xff. Give prob of sequence ffx.\n' | b'1/3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gayyi. Give prob of picking 1 i, 1 g, and 2 y.\n' | b'1/5\n' | b'Four letters picked without replacement from gayyi. Give prob of picking 1 i, 1 g, and 2 y.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let x(y) = 11*y + 16. Let c be x(-2). Let j be (-104)/(-28) + -2 + c/(-21). Let w(z) = -59 + 3*z**2 + 4*z + 65 - 4*z**j. What is w(5)?\n' | b'1\n' | b'Let x(y) = 11*y + 16. Let c be x(-2). Let j be (-104)/(-28) + -2 + c/(-21). Let w(z) = -59 + 3*z**2 + 4*z + 65 - 4*z**j. What is w(5)?\n' | b'1\n' | deepmind/math_dataset |
b'Let b(v) be the second derivative of -v**4/12 - 7*v**3/6 - 7*v**2/2 + v. Let l(q) = -q**3 - 22*q**2 - 20*q + 16. Let p be l(-21). Give b(p).\n' | b'3\n' | b'Let b(v) be the second derivative of -v**4/12 - 7*v**3/6 - 7*v**2/2 + v. Let l(q) = -q**3 - 22*q**2 - 20*q + 16. Let p be l(-21). Give b(p).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sbcsbbcbibsscbc. Give prob of picking 2 b, 1 s, and 1 c.\n' | b'16/91\n' | b'Four letters picked without replacement from sbcsbbcbibsscbc. Give prob of picking 2 b, 1 s, and 1 c.\n' | b'16/91\n' | deepmind/math_dataset |
b'Let s(f) = -5*f**2 - 10*f. Let t be (-8)/10 - 695/(-25). Let v = -25 + t. Let g(r) = -r. Let c(x) = v*s(x) - 18*g(x). Find the second derivative of c(p) wrt p.\n' | b'-20\n' | b'Let s(f) = -5*f**2 - 10*f. Let t be (-8)/10 - 695/(-25). Let v = -25 + t. Let g(r) = -r. Let c(x) = v*s(x) - 18*g(x). Find the second derivative of c(p) wrt p.\n' | b'-20\n' | deepmind/math_dataset |
b'Let z(n) = n**3 + 3*n**2 + 8*n - 6. Let i(v) = 3*v**3 + 10*v**2 + 22*v - 19. Let c(p) = -4*i(p) + 11*z(p). Give c(-7).\n' | b'10\n' | b'Let z(n) = n**3 + 3*n**2 + 8*n - 6. Let i(v) = 3*v**3 + 10*v**2 + 22*v - 19. Let c(p) = -4*i(p) + 11*z(p). Give c(-7).\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of sequence hq when two letters picked without replacement from haq.\n' | b'1/6\n' | b'Calculate prob of sequence hq when two letters picked without replacement from haq.\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence sni when three letters picked without replacement from ismnsiinsyinsiin.\n' | b'1/35\n' | b'Calculate prob of sequence sni when three letters picked without replacement from ismnsiinsyinsiin.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let j(l) = -2*l - 1. Let u(b) be the third derivative of -3*b**2 + 1/6*b**3 + 0 + 1/12*b**4 + 0*b. Let h(g) = 3*j(g) + 4*u(g). Calculate h(-1).\n' | b'-1\n' | b'Let j(l) = -2*l - 1. Let u(b) be the third derivative of -3*b**2 + 1/6*b**3 + 0 + 1/12*b**4 + 0*b. Let h(g) = 3*j(g) + 4*u(g). Calculate h(-1).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (s**(2/21))**(-3/28)*s/s**(-2/35)*s*s*s**11 assuming s is positive.\n' | b's**(6883/490)\n' | b'Simplify (s**(2/21))**(-3/28)*s/s**(-2/35)*s*s*s**11 assuming s is positive.\n' | b's**(6883/490)\n' | deepmind/math_dataset |
b'What is prob of picking 2 j and 2 o when four letters picked without replacement from ojoooojojojjo?\n' | b'56/143\n' | b'What is prob of picking 2 j and 2 o when four letters picked without replacement from ojoooojojojjo?\n' | b'56/143\n' | deepmind/math_dataset |
b'Simplify (l**4/l)/(l**(-23)/l*l)*l*l/(l/(l*(l/(l*l*l**(-4/5)))/l*l))*l*l*l**6*l assuming l is positive.\n' | b'l**(184/5)\n' | b'Simplify (l**4/l)/(l**(-23)/l*l)*l*l/(l/(l*(l/(l*l*l**(-4/5)))/l*l))*l*l*l**6*l assuming l is positive.\n' | b'l**(184/5)\n' | deepmind/math_dataset |
b'Let b(g) be the first derivative of g**4 + g**2 - g - 5. Let r be b(2). Solve x - 5*v = -x + r, 0 = -2*x + 4*v + 30 for x.\n' | b'5\n' | b'Let b(g) be the first derivative of g**4 + g**2 - g - 5. Let r be b(2). Solve x - 5*v = -x + r, 0 = -2*x + 4*v + 30 for x.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify i**(-1)*i*i**(-11/6)/i assuming i is positive.\n' | b'i**(-17/6)\n' | b'Simplify i**(-1)*i*i**(-11/6)/i assuming i is positive.\n' | b'i**(-17/6)\n' | deepmind/math_dataset |
b'Let s be 6/((-30)/(-65)) + -43. Let n(w) = -w**2 - 30*w + 33. Determine n(s).\n' | b'33\n' | b'Let s be 6/((-30)/(-65)) + -43. Let n(w) = -w**2 - 30*w + 33. Determine n(s).\n' | b'33\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 3, c: 13, s: 3, q: 1}. What is prob of sequence scq?\n' | b'13/2280\n' | b'Three letters picked without replacement from {w: 3, c: 13, s: 3, q: 1}. What is prob of sequence scq?\n' | b'13/2280\n' | deepmind/math_dataset |
b'Let j(m) be the third derivative of 0*m + 0*m**4 + 1/60*m**5 + m**2 + 0*m**3 - 1/30*m**7 + 0*m**6 + 0. Find the third derivative of j(q) wrt q.\n' | b'-168*q\n' | b'Let j(m) be the third derivative of 0*m + 0*m**4 + 1/60*m**5 + m**2 + 0*m**3 - 1/30*m**7 + 0*m**6 + 0. Find the third derivative of j(q) wrt q.\n' | b'-168*q\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 3, z: 1, s: 5, j: 4, l: 1, p: 6}. Give prob of sequence az.\n' | b'3/380\n' | b'Two letters picked without replacement from {a: 3, z: 1, s: 5, j: 4, l: 1, p: 6}. Give prob of sequence az.\n' | b'3/380\n' | deepmind/math_dataset |
b'Let w = 2 + 1. What is the third derivative of 5*o**4 + 0 + 0 - w*o**2 - o**2 wrt o?\n' | b'120*o\n' | b'Let w = 2 + 1. What is the third derivative of 5*o**4 + 0 + 0 - w*o**2 - o**2 wrt o?\n' | b'120*o\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 7, d: 5, p: 1}. Give prob of picking 3 g and 1 p.\n' | b'7/143\n' | b'Four letters picked without replacement from {g: 7, d: 5, p: 1}. Give prob of picking 3 g and 1 p.\n' | b'7/143\n' | deepmind/math_dataset |
b'Let a = 118 + -111. Let c = a + 46. What is the first derivative of 3*p + 29 - c - 4*p - 16*p wrt p?\n' | b'-17\n' | b'Let a = 118 + -111. Let c = a + 46. What is the first derivative of 3*p + 29 - c - 4*p - 16*p wrt p?\n' | b'-17\n' | deepmind/math_dataset |
b'What is prob of sequence wwvv when four letters picked without replacement from {v: 2, w: 3}?\n' | b'1/10\n' | b'What is prob of sequence wwvv when four letters picked without replacement from {v: 2, w: 3}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let m(k) = k + 47 - 204 + 140. Calculate m(14).\n' | b'-3\n' | b'Let m(k) = k + 47 - 204 + 140. Calculate m(14).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 7, f: 12}. What is prob of picking 1 f and 1 x?\n' | b'28/57\n' | b'Two letters picked without replacement from {x: 7, f: 12}. What is prob of picking 1 f and 1 x?\n' | b'28/57\n' | deepmind/math_dataset |
b'Simplify ((((o/(o**(10/3)*o)*o)/o*o*o**1)**(-8))**(-28))**14 assuming o is positive.\n' | b'o**(-12544/3)\n' | b'Simplify ((((o/(o**(10/3)*o)*o)/o*o*o**1)**(-8))**(-28))**14 assuming o is positive.\n' | b'o**(-12544/3)\n' | deepmind/math_dataset |
b'What is prob of sequence rrq when three letters picked without replacement from rrqq?\n' | b'1/6\n' | b'What is prob of sequence rrq when three letters picked without replacement from rrqq?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let b be (-3)/(6/(-8)) + -7 + 5. Solve -4*a + 0 = -b*t + 24, 5*t - 40 = 5*a for t.\n' | b'4\n' | b'Let b be (-3)/(6/(-8)) + -7 + 5. Solve -4*a + 0 = -b*t + 24, 5*t - 40 = 5*a for t.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 1, f: 3, b: 6, q: 4, e: 4, y: 2}?\n' | b'2/95\n' | b'What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 1, f: 3, b: 6, q: 4, e: 4, y: 2}?\n' | b'2/95\n' | deepmind/math_dataset |
b'What is the third derivative of -32900 + 3*f - 32477 - 32530 - 9126*f**4 + 98392 - 3*f**2 wrt f?\n' | b'-219024*f\n' | b'What is the third derivative of -32900 + 3*f - 32477 - 32530 - 9126*f**4 + 98392 - 3*f**2 wrt f?\n' | b'-219024*f\n' | deepmind/math_dataset |
b'Calculate prob of sequence hnh when three letters picked without replacement from nhnnhhhhhhh.\n' | b'28/165\n' | b'Calculate prob of sequence hnh when three letters picked without replacement from nhnnhhhhhhh.\n' | b'28/165\n' | deepmind/math_dataset |
b'Suppose -z - 3*i - 2 = 9, 4*z + 5*i + 9 = 0. Let j(r) = -9 - z*r - 5 + 13. Suppose 0 = 3*p - 3*k - 9, 0*k - 4*k = 8. What is j(p)?\n' | b'-5\n' | b'Suppose -z - 3*i - 2 = 9, 4*z + 5*i + 9 = 0. Let j(r) = -9 - z*r - 5 + 13. Suppose 0 = 3*p - 3*k - 9, 0*k - 4*k = 8. What is j(p)?\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence qd when two letters picked without replacement from {n: 1, f: 2, y: 2, q: 1, d: 1}?\n' | b'1/42\n' | b'What is prob of sequence qd when two letters picked without replacement from {n: 1, f: 2, y: 2, q: 1, d: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 5}. What is prob of picking 4 w?\n' | b'1\n' | b'Four letters picked without replacement from {w: 5}. What is prob of picking 4 w?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose n + 5*l = 22, -n - 4*l + 10 + 8 = 0. Suppose 3*r = n + 4. Suppose -3*d + 6*d = 6. Solve -3*h - 13 = 2*f, 16 = 4*f - r*h + d for f.\n' | b'1\n' | b'Suppose n + 5*l = 22, -n - 4*l + 10 + 8 = 0. Suppose 3*r = n + 4. Suppose -3*d + 6*d = 6. Solve -3*h - 13 = 2*f, 16 = 4*f - r*h + d for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(v) = v - 4. Let z be d(-5). Let x(i) = -i**3 - 8*i**2 + 7*i - 1. Determine x(z).\n' | b'17\n' | b'Let d(v) = v - 4. Let z be d(-5). Let x(i) = -i**3 - 8*i**2 + 7*i - 1. Determine x(z).\n' | b'17\n' | deepmind/math_dataset |
b'Simplify (p**(4/11)/(p*p*p/(p**3*p*p)*p))/(p/p**2)**(4/5) assuming p is positive.\n' | b'p**(119/55)\n' | b'Simplify (p**(4/11)/(p*p*p/(p**3*p*p)*p))/(p/p**2)**(4/5) assuming p is positive.\n' | b'p**(119/55)\n' | deepmind/math_dataset |
b'Simplify (q**(2/17))**(-1/29) assuming q is positive.\n' | b'q**(-2/493)\n' | b'Simplify (q**(2/17))**(-1/29) assuming q is positive.\n' | b'q**(-2/493)\n' | deepmind/math_dataset |
b'Simplify ((v*v**(2/7))**(-6/7)/(v**(3/2)/(v**(-1/4)*v)))**(-27) assuming v is positive.\n' | b'v**(9801/196)\n' | b'Simplify ((v*v**(2/7))**(-6/7)/(v**(3/2)/(v**(-1/4)*v)))**(-27) assuming v is positive.\n' | b'v**(9801/196)\n' | deepmind/math_dataset |
b'Simplify ((((l/l**(1/5)*l)/l)/(l**(3/7)/l*l))/(((l/(l/(l*l*l/((l/(l**(2/3)*l))/l))))/l)/l**0))/((l**(-1)*l)**36)**44 assuming l is positive.\n' | b'l**(-346/105)\n' | b'Simplify ((((l/l**(1/5)*l)/l)/(l**(3/7)/l*l))/(((l/(l/(l*l*l/((l/(l**(2/3)*l))/l))))/l)/l**0))/((l**(-1)*l)**36)**44 assuming l is positive.\n' | b'l**(-346/105)\n' | deepmind/math_dataset |
b'Suppose x + 24 = 4*x + 5*u, -5*x - 2*u = -21. Suppose 1 = x*m - 5. Let t be 4*-2*(-1)/m. Solve -b + 0*b + 3 = -t*v, 0 = 2*v for b.\n' | b'3\n' | b'Suppose x + 24 = 4*x + 5*u, -5*x - 2*u = -21. Suppose 1 = x*m - 5. Let t be 4*-2*(-1)/m. Solve -b + 0*b + 3 = -t*v, 0 = 2*v for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let n(d) = -d - 25. Let p be n(-22). Let o(k) = -k**3 - 2 - 2*k + 3 - 3 - 3*k**2. Let q be o(p). Solve b + 4 = q*a, 2*a = -3*b - 4 - 8 for b.\n' | b'-4\n' | b'Let n(d) = -d - 25. Let p be n(-22). Let o(k) = -k**3 - 2 - 2*k + 3 - 3 - 3*k**2. Let q be o(p). Solve b + 4 = q*a, 2*a = -3*b - 4 - 8 for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(b) be the first derivative of 31*b**7/42 - 71*b**3/6 + 71*b + 62. Let y(d) be the first derivative of f(d). What is the second derivative of y(a) wrt a?\n' | b'620*a**3\n' | b'Let f(b) be the first derivative of 31*b**7/42 - 71*b**3/6 + 71*b + 62. Let y(d) be the first derivative of f(d). What is the second derivative of y(a) wrt a?\n' | b'620*a**3\n' | deepmind/math_dataset |
b'What is prob of sequence da when two letters picked without replacement from {a: 5, x: 1, v: 1, d: 2, y: 1, u: 3}?\n' | b'5/78\n' | b'What is prob of sequence da when two letters picked without replacement from {a: 5, x: 1, v: 1, d: 2, y: 1, u: 3}?\n' | b'5/78\n' | deepmind/math_dataset |
b'Let h(d) be the first derivative of d**5/20 + d**4/4 + d**2 + 1. Let r(p) be the second derivative of h(p). Find the second derivative of r(q) wrt q.\n' | b'6\n' | b'Let h(d) be the first derivative of d**5/20 + d**4/4 + d**2 + 1. Let r(p) be the second derivative of h(p). Find the second derivative of r(q) wrt q.\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (d*d/d**(2/13)*d)**(-5/3)*d**(2/15)/d*(d*d**2/d)/d*d assuming d is positive.\n' | b'd**(-704/195)\n' | b'Simplify (d*d/d**(2/13)*d)**(-5/3)*d**(2/15)/d*(d*d**2/d)/d*d assuming d is positive.\n' | b'd**(-704/195)\n' | deepmind/math_dataset |
b'Simplify ((a**(32/5))**(-16)*(a/(a**(-19)*a))/(a/a**(-2/13)))**(-6/17) assuming a is positive.\n' | b'a**(32976/1105)\n' | b'Simplify ((a**(32/5))**(-16)*(a/(a**(-19)*a))/(a/a**(-2/13)))**(-6/17) assuming a is positive.\n' | b'a**(32976/1105)\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 q when two letters picked without replacement from qqqc?\n' | b'1/2\n' | b'What is prob of picking 1 c and 1 q when two letters picked without replacement from qqqc?\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose -g - 61*t + 59*t - 4 = 0, -5*g + 40 = -2*t. Let n = 5 - -10. Let p = -11 + n. Solve -p*a = y + 4*y + 27, -4*a - g = -2*y for y.\n' | b'-3\n' | b'Suppose -g - 61*t + 59*t - 4 = 0, -5*g + 40 = -2*t. Let n = 5 - -10. Let p = -11 + n. Solve -p*a = y + 4*y + 27, -4*a - g = -2*y for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((p*p/(p/(p/(p*p/(p*(p*p**(-2/21))/p))))*p/(p/(p*p*p/(p**(2/25)/p)*p)))**(5/8))**4)**(-42) assuming p is positive.\n' | b'p**(-3058/5)\n' | b'Simplify (((p*p/(p/(p/(p*p/(p*(p*p**(-2/21))/p))))*p/(p/(p*p*p/(p**(2/25)/p)*p)))**(5/8))**4)**(-42) assuming p is positive.\n' | b'p**(-3058/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, b: 4, i: 2}. Give prob of picking 1 i and 1 e.\n' | b'1/7\n' | b'Two letters picked without replacement from {e: 2, b: 4, i: 2}. Give prob of picking 1 i and 1 e.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let v(l) = 5*l**2 + 2*l - 2. Let n(k) = 7*k**2 + 3*k - 1. Suppose -2*p = -j + 6*j + 8, 0 = 5*p - 5. Let q(m) = j*n(m) + 3*v(m). Determine q(-5).\n' | b'21\n' | b'Let v(l) = 5*l**2 + 2*l - 2. Let n(k) = 7*k**2 + 3*k - 1. Suppose -2*p = -j + 6*j + 8, 0 = 5*p - 5. Let q(m) = j*n(m) + 3*v(m). Determine q(-5).\n' | b'21\n' | deepmind/math_dataset |
b'Suppose j - 3*j + 2*a + 108 = 0, -5*j = -a - 250. What is the third derivative of -5*l**3 + j*l**3 + 12*l**3 + 7 + 2*l**2 + 34*l**3 wrt l?\n' | b'540\n' | b'Suppose j - 3*j + 2*a + 108 = 0, -5*j = -a - 250. What is the third derivative of -5*l**3 + j*l**3 + 12*l**3 + 7 + 2*l**2 + 34*l**3 wrt l?\n' | b'540\n' | deepmind/math_dataset |
b'Let m(b) = -b - 25. Let p be m(-22). Let y(i) = i**2 + 3*i. Determine y(p).\n' | b'0\n' | b'Let m(b) = -b - 25. Let p be m(-22). Let y(i) = i**2 + 3*i. Determine y(p).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify j**(6/5)/j**(-2/7)*(j**(-18)/j)/(j/j**(-1/3)) assuming j is positive.\n' | b'j**(-1979/105)\n' | b'Simplify j**(6/5)/j**(-2/7)*(j**(-18)/j)/(j/j**(-1/3)) assuming j is positive.\n' | b'j**(-1979/105)\n' | deepmind/math_dataset |
b'Simplify ((q**(2/13)*q)/((q**(-1/2)*q)/q))/(q**(1/4))**(-1/4) assuming q is positive.\n' | b'q**(357/208)\n' | b'Simplify ((q**(2/13)*q)/((q**(-1/2)*q)/q))/(q**(1/4))**(-1/4) assuming q is positive.\n' | b'q**(357/208)\n' | deepmind/math_dataset |
b'Let h(u) = -4*u**2 - 17*u + 17. Let y be h(-5). Solve -2*b = 4*l + y, 4 - 11 = -2*b - l for b.\n' | b'5\n' | b'Let h(u) = -4*u**2 - 17*u + 17. Let y be h(-5). Solve -2*b = 4*l + y, 4 - 11 = -2*b - l for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let z(u) be the second derivative of u**7/42 - u**4/6 - 4*u**2 + 2*u. Let i(y) be the first derivative of z(y). What is the second derivative of i(d) wrt d?\n' | b'60*d**2\n' | b'Let z(u) be the second derivative of u**7/42 - u**4/6 - 4*u**2 + 2*u. Let i(y) be the first derivative of z(y). What is the second derivative of i(d) wrt d?\n' | b'60*d**2\n' | deepmind/math_dataset |
b'Let s = 27 - 32. Let z(q) = -6*q**2 - 7*q - 1. Let y(d) = -d**2 + 1. Let k(w) = -5*y(w) + z(w). Give k(s).\n' | b'4\n' | b'Let s = 27 - 32. Let z(q) = -6*q**2 - 7*q - 1. Let y(d) = -d**2 + 1. Let k(w) = -5*y(w) + z(w). Give k(s).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 3*o - 9 = 2*o. Let k(h) = o*h**2 - 3 + 5 - 10*h**2 - 3*h. Let y(j) = -2*j**3 - 28*j**2 - 3. Let d be y(-14). Determine k(d).\n' | b'2\n' | b'Suppose 3*o - 9 = 2*o. Let k(h) = o*h**2 - 3 + 5 - 10*h**2 - 3*h. Let y(j) = -2*j**3 - 28*j**2 - 3. Let d be y(-14). Determine k(d).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pixpxxizipiiix. What is prob of sequence ixxz?\n' | b'3/1001\n' | b'Four letters picked without replacement from pixpxxizipiiix. What is prob of sequence ixxz?\n' | b'3/1001\n' | deepmind/math_dataset |
b'Let f be (-3 - 0)*(-12)/54*3. Solve -v = c + 8, -28 = f*v - 0*c + 5*c for v.\n' | b'-4\n' | b'Let f be (-3 - 0)*(-12)/54*3. Solve -v = c + 8, -28 = f*v - 0*c + 5*c for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let m(o) = -1 - 19*o**2 + 20*o**2 + 5*o - 2 + 2. Let x be (-64)/12 - (-1)/3. What is m(x)?\n' | b'-1\n' | b'Let m(o) = -1 - 19*o**2 + 20*o**2 + 5*o - 2 + 2. Let x be (-64)/12 - (-1)/3. What is m(x)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let r(h) be the third derivative of 0 + 15*h**2 + 7/6*h**3 + 1/24*h**4 + 0*h. What is r(-6)?\n' | b'1\n' | b'Let r(h) be the third derivative of 0 + 15*h**2 + 7/6*h**3 + 1/24*h**4 + 0*h. What is r(-6)?\n' | b'1\n' | deepmind/math_dataset |
b'Let n(q) = 2*q**3 - 1. Let u(p) = 7*p**3 - 94*p**2 - 76. Let b(y) = -4*n(y) + u(y). What is the first derivative of b(z) wrt z?\n' | b'-3*z**2 - 188*z\n' | b'Let n(q) = 2*q**3 - 1. Let u(p) = 7*p**3 - 94*p**2 - 76. Let b(y) = -4*n(y) + u(y). What is the first derivative of b(z) wrt z?\n' | b'-3*z**2 - 188*z\n' | deepmind/math_dataset |
b'Let i(y) be the second derivative of 7*y**4/6 - 17*y**2/2 + 20*y. What is the derivative of i(j) wrt j?\n' | b'28*j\n' | b'Let i(y) be the second derivative of 7*y**4/6 - 17*y**2/2 + 20*y. What is the derivative of i(j) wrt j?\n' | b'28*j\n' | deepmind/math_dataset |
b'Let c(l) = 7*l**2 - 7. Suppose 0 = -5*o + 10*o + 25. Let z(n) = 3*n**2 - 3. Let k(w) = o*z(w) + 2*c(w). Differentiate k(s) wrt s.\n' | b'-2*s\n' | b'Let c(l) = 7*l**2 - 7. Suppose 0 = -5*o + 10*o + 25. Let z(n) = 3*n**2 - 3. Let k(w) = o*z(w) + 2*c(w). Differentiate k(s) wrt s.\n' | b'-2*s\n' | deepmind/math_dataset |
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