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'Three letters picked without replacement from iuumuuuymmuu. Give prob of sequence miu.\n' | b'7/440\n' | b'Three letters picked without replacement from iuumuuuymmuu. Give prob of sequence miu.\n' | b'7/440\n' | deepmind/math_dataset |
b'Let c(i) = -i**3 - 18*i**2 - 19*i + 2. Let o be c(-17). Let s be 9/(o/20) - 3. Solve -2*n + 14 = -4*t, -5*n + 13 = -s*n - 4*t for n.\n' | b'-1\n' | b'Let c(i) = -i**3 - 18*i**2 - 19*i + 2. Let o be c(-17). Let s be 9/(o/20) - 3. Solve -2*n + 14 = -4*t, -5*n + 13 = -s*n - 4*t for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let j(u) be the second derivative of 0*u**5 - 41/15*u**6 + 0*u**3 + 0 + 47/2*u**2 + 114*u + 0*u**4. What is the first derivative of j(s) wrt s?\n' | b'-328*s**3\n' | b'Let j(u) be the second derivative of 0*u**5 - 41/15*u**6 + 0*u**3 + 0 + 47/2*u**2 + 114*u + 0*u**4. What is the first derivative of j(s) wrt s?\n' | b'-328*s**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ruu when three letters picked without replacement from eareaeuyeuoeee.\n' | b'1/1092\n' | b'Calculate prob of sequence ruu when three letters picked without replacement from eareaeuyeuoeee.\n' | b'1/1092\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {m: 3, e: 7, o: 6, y: 1}.\n' | b'7/136\n' | b'Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {m: 3, e: 7, o: 6, y: 1}.\n' | b'7/136\n' | deepmind/math_dataset |
b'What is prob of sequence hx when two letters picked without replacement from xxxhxxxxxxxxxhxxxx?\n' | b'16/153\n' | b'What is prob of sequence hx when two letters picked without replacement from xxxhxxxxxxxxxhxxxx?\n' | b'16/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 5, z: 2}. Give prob of picking 2 z.\n' | b'1/21\n' | b'Two letters picked without replacement from {c: 5, z: 2}. Give prob of picking 2 z.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (g**(2/9))**(-4/5)*g**10*g/g**(-1/3) assuming g is positive.\n' | b'g**(502/45)\n' | b'Simplify (g**(2/9))**(-4/5)*g**10*g/g**(-1/3) assuming g is positive.\n' | b'g**(502/45)\n' | deepmind/math_dataset |
b'Suppose 5*s + 11 = 3*k, -5*k + s - 6 = -39. Let g(d) = d - 4. Let t(j) = -j + 4. Let x(u) = -3*g(u) - 4*t(u). Let y be x(k). Let l(q) = -q**2 + 4*q. Give l(y).\n' | b'3\n' | b'Suppose 5*s + 11 = 3*k, -5*k + s - 6 = -39. Let g(d) = d - 4. Let t(j) = -j + 4. Let x(u) = -3*g(u) - 4*t(u). Let y be x(k). Let l(q) = -q**2 + 4*q. Give l(y).\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fssqfuvfvvsulfuuulvf. Give prob of picking 1 v and 1 l.\n' | b'4/95\n' | b'Two letters picked without replacement from fssqfuvfvvsulfuuulvf. Give prob of picking 1 v and 1 l.\n' | b'4/95\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 h when three letters picked without replacement from huphnhyyunnynhhnnn.\n' | b'35/272\n' | b'Calculate prob of picking 2 n and 1 h when three letters picked without replacement from huphnhyyunnynhhnnn.\n' | b'35/272\n' | deepmind/math_dataset |
b'What is prob of sequence xmg when three letters picked without replacement from mmmgmmmmcmcmmcmgggmx?\n' | b'2/285\n' | b'What is prob of sequence xmg when three letters picked without replacement from mmmgmmmmcmcmmcmgggmx?\n' | b'2/285\n' | deepmind/math_dataset |
b'Let h(j) = -11*j + 3. Let b(l) = 1 - 3*l + 1 - 3*l. Let g(z) = 5*b(z) - 3*h(z). Determine g(1).\n' | b'4\n' | b'Let h(j) = -11*j + 3. Let b(l) = 1 - 3*l + 1 - 3*l. Let g(z) = 5*b(z) - 3*h(z). Determine g(1).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 u when two letters picked without replacement from uauuavua.\n' | b'1/7\n' | b'Calculate prob of picking 1 v and 1 u when two letters picked without replacement from uauuavua.\n' | b'1/7\n' | deepmind/math_dataset |
b'What is prob of sequence smm when three letters picked without replacement from {s: 1, m: 11}?\n' | b'1/12\n' | b'What is prob of sequence smm when three letters picked without replacement from {s: 1, m: 11}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose -5*h - 56 = -h. Let w = h + 19. Find the third derivative of -3*l**5 + l**w + 0*l**5 + 7*l**2 wrt l.\n' | b'-120*l**2\n' | b'Suppose -5*h - 56 = -h. Let w = h + 19. Find the third derivative of -3*l**5 + l**w + 0*l**5 + 7*l**2 wrt l.\n' | b'-120*l**2\n' | deepmind/math_dataset |
b'Let a(t) be the first derivative of t**4/4 - 2*t**3/3 - 5*t**2/2 - 3*t + 12. Suppose -7*m = -2*m - 20. Determine a(m).\n' | b'9\n' | b'Let a(t) be the first derivative of t**4/4 - 2*t**3/3 - 5*t**2/2 - 3*t + 12. Suppose -7*m = -2*m - 20. Determine a(m).\n' | b'9\n' | deepmind/math_dataset |
b'Let n(u) = u + 1. Let b(c) = 10*c - 4. Let r be 1/((2 + -6)/4). Let a be b(r). Let o be ((2/3)/2)/(a/(-210)). Give n(o).\n' | b'6\n' | b'Let n(u) = u + 1. Let b(c) = 10*c - 4. Let r be 1/((2 + -6)/4). Let a be b(r). Let o be ((2/3)/2)/(a/(-210)). Give n(o).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence chik when four letters picked without replacement from {n: 1, c: 6, i: 3, q: 1, k: 1, h: 4}?\n' | b'3/1820\n' | b'What is prob of sequence chik when four letters picked without replacement from {n: 1, c: 6, i: 3, q: 1, k: 1, h: 4}?\n' | b'3/1820\n' | deepmind/math_dataset |
b'What is prob of sequence cyy when three letters picked without replacement from yycyychc?\n' | b'3/28\n' | b'What is prob of sequence cyy when three letters picked without replacement from yycyychc?\n' | b'3/28\n' | deepmind/math_dataset |
b'Suppose 0 = -5*l + 8*l - 21. Let q(o) = -8*o - 3. Let t(g) = 12*g + 4. Let s(m) = l*q(m) + 5*t(m). What is the derivative of s(f) wrt f?\n' | b'4\n' | b'Suppose 0 = -5*l + 8*l - 21. Let q(o) = -8*o - 3. Let t(g) = 12*g + 4. Let s(m) = l*q(m) + 5*t(m). What is the derivative of s(f) wrt f?\n' | b'4\n' | deepmind/math_dataset |
b'Let w(m) = -7*m + m**3 + 5 + 11*m - 8*m + 5*m**2. Give w(-6).\n' | b'-7\n' | b'Let w(m) = -7*m + m**3 + 5 + 11*m - 8*m + 5*m**2. Give w(-6).\n' | b'-7\n' | deepmind/math_dataset |
b'Let t(z) = 514*z + 5144. Let v be t(-10). Solve 20*h - 18*h + 8 = -v*c, -2*c + 4 = -h for h.\n' | b'-4\n' | b'Let t(z) = 514*z + 5144. Let v be t(-10). Solve 20*h - 18*h + 8 = -v*c, -2*c + 4 = -h for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (v*v/v**(-4/7))**(-2/159)/((v**(-7)/v)/v)**(-20) assuming v is positive.\n' | b'v**(-66792/371)\n' | b'Simplify (v*v/v**(-4/7))**(-2/159)/((v**(-7)/v)/v)**(-20) assuming v is positive.\n' | b'v**(-66792/371)\n' | deepmind/math_dataset |
b'Let n be (1 + -7)*(-2)/3. Suppose -6*x = -2*x + 200. Let o be x/15*12/(-5). Solve 24 = -n*a + 4*s, -s + o = s for a.\n' | b'-2\n' | b'Let n be (1 + -7)*(-2)/3. Suppose -6*x = -2*x + 200. Let o be x/15*12/(-5). Solve 24 = -n*a + 4*s, -s + o = s for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eexippy. What is prob of picking 1 i and 1 p?\n' | b'2/21\n' | b'Two letters picked without replacement from eexippy. What is prob of picking 1 i and 1 p?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence pppp when four letters picked without replacement from {p: 7}.\n' | b'1\n' | b'Calculate prob of sequence pppp when four letters picked without replacement from {p: 7}.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(y) = -y**2 + y + 8. Let a(p) be the third derivative of -p**5/60 - 5*p**4/24 + 25*p**3/3 + p**2 - 153. Let k be a(5). Calculate c(k).\n' | b'8\n' | b'Let c(y) = -y**2 + y + 8. Let a(p) be the third derivative of -p**5/60 - 5*p**4/24 + 25*p**3/3 + p**2 - 153. Let k be a(5). Calculate c(k).\n' | b'8\n' | deepmind/math_dataset |
b'Let o(n) be the third derivative of -n**5/15 - n**4 - n**3/2 + 1518*n**2. Calculate o(-6).\n' | b'-3\n' | b'Let o(n) be the third derivative of -n**5/15 - n**4 - n**3/2 + 1518*n**2. Calculate o(-6).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify a**(-4)/a*a/a**(-8)*(((a**(15/7)*a)/a)/a)/((a/a**33)/a) assuming a is positive.\n' | b'a**(267/7)\n' | b'Simplify a**(-4)/a*a/a**(-8)*(((a**(15/7)*a)/a)/a)/((a/a**33)/a) assuming a is positive.\n' | b'a**(267/7)\n' | deepmind/math_dataset |
b'What is prob of sequence rrr when three letters picked without replacement from {r: 5, d: 3}?\n' | b'5/28\n' | b'What is prob of sequence rrr when three letters picked without replacement from {r: 5, d: 3}?\n' | b'5/28\n' | deepmind/math_dataset |
b'Simplify (p**(-2/7)*((p*p**(-14)*p)/p)/p*(p/p**(6/13))/(p/(p**(-2/5)/p)))**(-6/17) assuming p is positive.\n' | b'p**(44082/7735)\n' | b'Simplify (p**(-2/7)*((p*p**(-14)*p)/p)/p*(p/p**(6/13))/(p/(p**(-2/5)/p)))**(-6/17) assuming p is positive.\n' | b'p**(44082/7735)\n' | deepmind/math_dataset |
b'Simplify ((d**1*d/d**1)/((d*d*d**(-6))/d**6))/(d**6*(d**(-1/8)/d)/d*(d**(-1))**(2/19)) assuming d is positive.\n' | b'd**(1099/152)\n' | b'Simplify ((d**1*d/d**1)/((d*d*d**(-6))/d**6))/(d**6*(d**(-1/8)/d)/d*(d**(-1))**(2/19)) assuming d is positive.\n' | b'd**(1099/152)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {b: 9, o: 7, z: 2}.\n' | b'14/153\n' | b'Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {b: 9, o: 7, z: 2}.\n' | b'14/153\n' | deepmind/math_dataset |
b'Let v be (-230)/(-16) + -4 + 145/40. Solve -2*k + 4*w = v, 5*w - 8 = w for k.\n' | b'-3\n' | b'Let v be (-230)/(-16) + -4 + 145/40. Solve -2*k + 4*w = v, 5*w - 8 = w for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(p) = -53*p**3 - 5*p**2 - 19*p. Let g(v) = 6*v**2 - 18*v**3 + v - 5*v**2 + 19*v**3. Let o(u) = -4*g(u) - j(u). Find the third derivative of o(r) wrt r.\n' | b'294\n' | b'Let j(p) = -53*p**3 - 5*p**2 - 19*p. Let g(v) = 6*v**2 - 18*v**3 + v - 5*v**2 + 19*v**3. Let o(u) = -4*g(u) - j(u). Find the third derivative of o(r) wrt r.\n' | b'294\n' | deepmind/math_dataset |
b'Three letters picked without replacement from duiumuieuu. Give prob of picking 1 u and 2 i.\n' | b'1/24\n' | b'Three letters picked without replacement from duiumuieuu. Give prob of picking 1 u and 2 i.\n' | b'1/24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 5, f: 3, c: 1, k: 1, j: 4}. What is prob of sequence kt?\n' | b'5/182\n' | b'Two letters picked without replacement from {t: 5, f: 3, c: 1, k: 1, j: 4}. What is prob of sequence kt?\n' | b'5/182\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 5, n: 11}. Give prob of sequence nn.\n' | b'11/24\n' | b'Two letters picked without replacement from {m: 5, n: 11}. Give prob of sequence nn.\n' | b'11/24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 6, q: 7, k: 1, i: 1}. What is prob of picking 1 q and 1 i?\n' | b'1/15\n' | b'Two letters picked without replacement from {r: 6, q: 7, k: 1, i: 1}. What is prob of picking 1 q and 1 i?\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kfytuff. Give prob of picking 1 t, 1 u, and 1 y.\n' | b'1/35\n' | b'Three letters picked without replacement from kfytuff. Give prob of picking 1 t, 1 u, and 1 y.\n' | b'1/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 1, w: 1, y: 3}.\n' | b'1/10\n' | b'Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 1, w: 1, y: 3}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (m**(-1))**41/(m/m**2)**(-1/9)*(m/(m/(m/((m/(m/m**(2/7)))/m*m*m)*m)))**(5/2)*(m*m**(-3)/m*m)/((m/(m*m**(4/9)))/m) assuming m is positive.\n' | b'm**(-1675/42)\n' | b'Simplify (m**(-1))**41/(m/m**2)**(-1/9)*(m/(m/(m/((m/(m/m**(2/7)))/m*m*m)*m)))**(5/2)*(m*m**(-3)/m*m)/((m/(m*m**(4/9)))/m) assuming m is positive.\n' | b'm**(-1675/42)\n' | deepmind/math_dataset |
b'Suppose 18*n = 21*n - 261. Let u = n + -83. What is the first derivative of -20 - 15 + u - 36*i + 57*i wrt i?\n' | b'21\n' | b'Suppose 18*n = 21*n - 261. Let u = n + -83. What is the first derivative of -20 - 15 + u - 36*i + 57*i wrt i?\n' | b'21\n' | deepmind/math_dataset |
b'Let w(s) = s + 16. Let x be w(-7). Suppose 0 = -2*o + 3*b - 13, 3*o + b + 1 = x. Solve 5*f = -5*z + 10, 3*z - o = -3*f + z for f.\n' | b'-3\n' | b'Let w(s) = s + 16. Let x be w(-7). Suppose 0 = -2*o + 3*b - 13, 3*o + b + 1 = x. Solve 5*f = -5*z + 10, 3*z - o = -3*f + z for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u be (7 + -4)/((-1)/3). Let r = 9 + u. Solve 8 = -f - 2*o, r*o + 5*o = -3*f - 21 for f.\n' | b'-2\n' | b'Let u be (7 + -4)/((-1)/3). Let r = 9 + u. Solve 8 = -f - 2*o, r*o + 5*o = -3*f - 21 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -7*c + 6*c = -2. Suppose -c*m - 3*m + 20 = 0. Find the third derivative of 31*v**m - 7*v**4 - 16*v**4 + 13*v**2 wrt v.\n' | b'192*v\n' | b'Suppose -7*c + 6*c = -2. Suppose -c*m - 3*m + 20 = 0. Find the third derivative of 31*v**m - 7*v**4 - 16*v**4 + 13*v**2 wrt v.\n' | b'192*v\n' | deepmind/math_dataset |
b'Simplify (m/((m*(m**(-1/4)/m)/m*m)/m))/(m*m*m/((m/(m/m**(-20/9)))/m)) assuming m is positive.\n' | b'm**(-143/36)\n' | b'Simplify (m/((m*(m**(-1/4)/m)/m*m)/m))/(m*m*m/((m/(m/m**(-20/9)))/m)) assuming m is positive.\n' | b'm**(-143/36)\n' | deepmind/math_dataset |
b'Let h(l) = -13*l**2 + 12*l - 2. Let i(f) = 25*f**2 - 24*f + 5. Let g(x) = 5*h(x) + 2*i(x). What is the second derivative of g(c) wrt c?\n' | b'-30\n' | b'Let h(l) = -13*l**2 + 12*l - 2. Let i(f) = 25*f**2 - 24*f + 5. Let g(x) = 5*h(x) + 2*i(x). What is the second derivative of g(c) wrt c?\n' | b'-30\n' | deepmind/math_dataset |
b'Let y(o) = 14 + 2209*o - 4412*o - 3*o**2 + 4*o**2 + 2209*o. Calculate y(-7).\n' | b'21\n' | b'Let y(o) = 14 + 2209*o - 4412*o - 3*o**2 + 4*o**2 + 2209*o. Calculate y(-7).\n' | b'21\n' | deepmind/math_dataset |
b'Simplify (u/(u/(u/(u**(2/5)/u))))/(u*u**5*u)*u**(1/3)/(u*u/(u**0*u)) assuming u is positive.\n' | b'u**(-91/15)\n' | b'Simplify (u/(u/(u/(u**(2/5)/u))))/(u*u**5*u)*u**(1/3)/(u*u/(u**0*u)) assuming u is positive.\n' | b'u**(-91/15)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 2, x: 1, p: 4, i: 1, d: 2}. What is prob of sequence xupi?\n' | b'1/630\n' | b'Four letters picked without replacement from {u: 2, x: 1, p: 4, i: 1, d: 2}. What is prob of sequence xupi?\n' | b'1/630\n' | deepmind/math_dataset |
b'Calculate prob of sequence aii when three letters picked without replacement from {a: 1, i: 5, v: 1, o: 2, n: 2, t: 2}.\n' | b'5/429\n' | b'Calculate prob of sequence aii when three letters picked without replacement from {a: 1, i: 5, v: 1, o: 2, n: 2, t: 2}.\n' | b'5/429\n' | deepmind/math_dataset |
b'What is prob of sequence vv when two letters picked without replacement from iwwlviviwwiiv?\n' | b'1/26\n' | b'What is prob of sequence vv when two letters picked without replacement from iwwlviviwwiiv?\n' | b'1/26\n' | deepmind/math_dataset |
b'Suppose -5*t = 2*g - 22, -g = -2*t - 0*g + 16. Solve 0 = 3*f - t*s + 2*s, -4*s = -4*f + 4 for f.\n' | b'4\n' | b'Suppose -5*t = 2*g - 22, -g = -2*t - 0*g + 16. Solve 0 = 3*f - t*s + 2*s, -4*s = -4*f + 4 for f.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 2, v: 1, z: 2, i: 3, u: 3, n: 1}. What is prob of sequence iun?\n' | b'3/440\n' | b'Three letters picked without replacement from {o: 2, v: 1, z: 2, i: 3, u: 3, n: 1}. What is prob of sequence iun?\n' | b'3/440\n' | deepmind/math_dataset |
b'Let p(a) = -a**3 - 16*a**2 + a + 8. Let v(w) = 10*w + 14. Let c be v(-3). Calculate p(c).\n' | b'-8\n' | b'Let p(a) = -a**3 - 16*a**2 + a + 8. Let v(w) = 10*w + 14. Let c be v(-3). Calculate p(c).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify ((y**(-2/7)*y)/((y*y/(y/(y*y**(-2/5)))*y)/y*y*y*y))/(y**(-2/5)/(y/y**(-4)*y)) assuming y is positive.\n' | b'y**(88/35)\n' | b'Simplify ((y**(-2/7)*y)/((y*y/(y/(y*y**(-2/5)))*y)/y*y*y*y))/(y**(-2/5)/(y/y**(-4)*y)) assuming y is positive.\n' | b'y**(88/35)\n' | deepmind/math_dataset |
b'Let k be (-6)/(-5)*(-60)/(-18). Solve -c + 11 = 2*y + 3*y, -k*c - 3*y + 10 = 0 for c.\n' | b'1\n' | b'Let k be (-6)/(-5)*(-60)/(-18). Solve -c + 11 = 2*y + 3*y, -k*c - 3*y + 10 = 0 for c.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence eee when three letters picked without replacement from {c: 3, e: 4, x: 1}.\n' | b'1/14\n' | b'Calculate prob of sequence eee when three letters picked without replacement from {c: 3, e: 4, x: 1}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, x: 3}. What is prob of sequence xx?\n' | b'3/10\n' | b'Two letters picked without replacement from {e: 2, x: 3}. What is prob of sequence xx?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let w(o) be the first derivative of 29*o**4/4 + 7*o + 26. Find the first derivative of w(b) wrt b.\n' | b'87*b**2\n' | b'Let w(o) be the first derivative of 29*o**4/4 + 7*o + 26. Find the first derivative of w(b) wrt b.\n' | b'87*b**2\n' | deepmind/math_dataset |
b'Let u be (-35)/(-21) + -1 + (-20)/(-6). Solve -2*j + 12 = u*g, -24*g = -3*j - 29*g + 16 for j.\n' | b'2\n' | b'Let u be (-35)/(-21) + -1 + (-20)/(-6). Solve -2*j + 12 = u*g, -24*g = -3*j - 29*g + 16 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 3, k: 9, v: 1, t: 2, y: 1, q: 2}. Give prob of sequence kk.\n' | b'4/17\n' | b'Two letters picked without replacement from {m: 3, k: 9, v: 1, t: 2, y: 1, q: 2}. Give prob of sequence kk.\n' | b'4/17\n' | deepmind/math_dataset |
b'Let t be (-2)/8 - (-231)/44 - -19. What is the third derivative of t*d**2 - 2*d**4 + 4*d + 3*d + 112*d**4 - 7*d wrt d?\n' | b'2640*d\n' | b'Let t be (-2)/8 - (-231)/44 - -19. What is the third derivative of t*d**2 - 2*d**4 + 4*d + 3*d + 112*d**4 - 7*d wrt d?\n' | b'2640*d\n' | deepmind/math_dataset |
b'Let d(t) = -t**2 - 2*t + 19. Let s be d(-5). What is the third derivative of -8*w**2 + 3*w**s - 5*w**2 + 9*w**2 + 21*w**4 wrt w?\n' | b'576*w\n' | b'Let d(t) = -t**2 - 2*t + 19. Let s be d(-5). What is the third derivative of -8*w**2 + 3*w**s - 5*w**2 + 9*w**2 + 21*w**4 wrt w?\n' | b'576*w\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ckkjcccckkj. What is prob of picking 2 c and 2 j?\n' | b'1/33\n' | b'Four letters picked without replacement from ckkjcccckkj. What is prob of picking 2 c and 2 j?\n' | b'1/33\n' | deepmind/math_dataset |
b'Let m be (-3)/(-3) + 5 - -3. Suppose -252 = m*j - 27*j. Solve -6*b = -4*q - 2*b + 12, 4*q - 2*b = j for q.\n' | b'4\n' | b'Let m be (-3)/(-3) + 5 - -3. Suppose -252 = m*j - 27*j. Solve -6*b = -4*q - 2*b + 12, 4*q - 2*b = j for q.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from szszz?\n' | b'3/10\n' | b'What is prob of sequence zz when two letters picked without replacement from szszz?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let g(s) = -5*s. Let d be g(2). Let c be (7/2)/((-5)/d). Find the third derivative of 16*b**2 + b**3 + 7*b**5 - b**3 - c*b**2 wrt b.\n' | b'420*b**2\n' | b'Let g(s) = -5*s. Let d be g(2). Let c be (7/2)/((-5)/d). Find the third derivative of 16*b**2 + b**3 + 7*b**5 - b**3 - c*b**2 wrt b.\n' | b'420*b**2\n' | deepmind/math_dataset |
b'Simplify (z**(-4/7)/z*z**(-9)/z)/(z/z**(1/2))**(-4/7) assuming z is positive.\n' | b'z**(-79/7)\n' | b'Simplify (z**(-4/7)/z*z**(-9)/z)/(z/z**(1/2))**(-4/7) assuming z is positive.\n' | b'z**(-79/7)\n' | deepmind/math_dataset |
b'Suppose -3 = -w + 85*d - 86*d, -2*w - 6 = -2*d. Let a(c) = 6*c + 11. Calculate a(w).\n' | b'11\n' | b'Suppose -3 = -w + 85*d - 86*d, -2*w - 6 = -2*d. Let a(c) = 6*c + 11. Calculate a(w).\n' | b'11\n' | deepmind/math_dataset |
b'Let i(h) = -2*h + 1. Let g = 38 - 36. Suppose 4*m = -2*k - 4 + 38, -4*k = -g*m - 48. Let u be 1/(-2)*(k - 11). What is i(u)?\n' | b'3\n' | b'Let i(h) = -2*h + 1. Let g = 38 - 36. Suppose 4*m = -2*k - 4 + 38, -4*k = -g*m - 48. Let u be 1/(-2)*(k - 11). What is i(u)?\n' | b'3\n' | deepmind/math_dataset |
b'Simplify q*q**(13/2)*q*q**19/q*q**(-17)*q*q/(q*q**(1/9)) assuming q is positive.\n' | b'q**(187/18)\n' | b'Simplify q*q**(13/2)*q*q**19/q*q**(-17)*q*q/(q*q**(1/9)) assuming q is positive.\n' | b'q**(187/18)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nngnngnnnnnnnnnnnn. What is prob of picking 2 n?\n' | b'40/51\n' | b'Two letters picked without replacement from nngnngnnnnnnnnnnnn. What is prob of picking 2 n?\n' | b'40/51\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 5, m: 3, f: 3, r: 1}. Give prob of picking 3 m and 1 r.\n' | b'1/495\n' | b'Four letters picked without replacement from {z: 5, m: 3, f: 3, r: 1}. Give prob of picking 3 m and 1 r.\n' | b'1/495\n' | deepmind/math_dataset |
b'Simplify ((k**0)**44*(k*k**(2/11)*k*k)/(k**(2/5)*k))**(-33) assuming k is positive.\n' | b'k**(-294/5)\n' | b'Simplify ((k**0)**44*(k*k**(2/11)*k*k)/(k**(2/5)*k))**(-33) assuming k is positive.\n' | b'k**(-294/5)\n' | deepmind/math_dataset |
b'Find the third derivative of -8*c**5 - 2*c**4 + 4*c**5 - 42*c**2 + 7*c**5 + 2*c**5 wrt c.\n' | b'300*c**2 - 48*c\n' | b'Find the third derivative of -8*c**5 - 2*c**4 + 4*c**5 - 42*c**2 + 7*c**5 + 2*c**5 wrt c.\n' | b'300*c**2 - 48*c\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, r: 3, v: 8, i: 2}. What is prob of sequence vis?\n' | b'1/70\n' | b'Three letters picked without replacement from {s: 3, r: 3, v: 8, i: 2}. What is prob of sequence vis?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let a(w) = 2*w**2 - 2*w - 1. Let r be a(2). Find the third derivative of -2*j**2 - 3*j**6 - 3*j**3 + r*j**3 wrt j.\n' | b'-360*j**3\n' | b'Let a(w) = 2*w**2 - 2*w - 1. Let r be a(2). Find the third derivative of -2*j**2 - 3*j**6 - 3*j**3 + r*j**3 wrt j.\n' | b'-360*j**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kktt. What is prob of sequence ttk?\n' | b'1/6\n' | b'Three letters picked without replacement from kktt. What is prob of sequence ttk?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let f(w) = -11584*w**3 + 5*w**2 - 7*w + 344. Let b(i) = -8689*i**3 + 4*i**2 - 5*i + 258. Let y(r) = 13*b(r) - 10*f(r). Find the third derivative of y(t) wrt t.\n' | b'17298\n' | b'Let f(w) = -11584*w**3 + 5*w**2 - 7*w + 344. Let b(i) = -8689*i**3 + 4*i**2 - 5*i + 258. Let y(r) = 13*b(r) - 10*f(r). Find the third derivative of y(t) wrt t.\n' | b'17298\n' | deepmind/math_dataset |
b'Simplify (y**(-1/7)*y**(-5))**15 assuming y is positive.\n' | b'y**(-540/7)\n' | b'Simplify (y**(-1/7)*y**(-5))**15 assuming y is positive.\n' | b'y**(-540/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, l: 3, q: 4, y: 2, x: 1}. Give prob of sequence qx.\n' | b'2/55\n' | b'Two letters picked without replacement from {w: 1, l: 3, q: 4, y: 2, x: 1}. Give prob of sequence qx.\n' | b'2/55\n' | deepmind/math_dataset |
b'Simplify ((a*a**(-7)*a*a*a**(-1/6))/((a**7*a)/(a*a*a**(-2/15)/a*a*a)))/(a**1/a*a*a*a**8*((a*a*a/a**(-1/3))/a)**15) assuming a is positive.\n' | b'a**(-543/10)\n' | b'Simplify ((a*a**(-7)*a*a*a**(-1/6))/((a**7*a)/(a*a*a**(-2/15)/a*a*a)))/(a**1/a*a*a*a**8*((a*a*a/a**(-1/3))/a)**15) assuming a is positive.\n' | b'a**(-543/10)\n' | deepmind/math_dataset |
b'Let u(d) be the third derivative of d**2 + 0*d**4 - 24*d + 0*d**3 + 37/30*d**5 + 37/105*d**7 + 0*d**6 + 0. Find the third derivative of u(x) wrt x.\n' | b'1776*x\n' | b'Let u(d) be the third derivative of d**2 + 0*d**4 - 24*d + 0*d**3 + 37/30*d**5 + 37/105*d**7 + 0*d**6 + 0. Find the third derivative of u(x) wrt x.\n' | b'1776*x\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 10, k: 2}. What is prob of picking 2 l?\n' | b'15/22\n' | b'Two letters picked without replacement from {l: 10, k: 2}. What is prob of picking 2 l?\n' | b'15/22\n' | deepmind/math_dataset |
b'Let c = 1 - -3. Solve -c*o = 5*w - 13, -2*o = -0*o - 5*w + 1 for o.\n' | b'2\n' | b'Let c = 1 - -3. Solve -c*o = 5*w - 13, -2*o = -0*o - 5*w + 1 for o.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 x when three letters picked without replacement from xxxxxxxyyx.\n' | b'7/15\n' | b'Calculate prob of picking 3 x when three letters picked without replacement from xxxxxxxyyx.\n' | b'7/15\n' | deepmind/math_dataset |
b'Let y(c) = 7*c + 392. Let t be y(-55). Solve 4*n = 2*s - 10, -33 = 4*n + 4*s + t for n.\n' | b'-5\n' | b'Let y(c) = 7*c + 392. Let t be y(-55). Solve 4*n = 2*s - 10, -33 = 4*n + 4*s + t for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m(z) = 4*z**2 - 12*z - 5. Let d(j) = 17*j**2 - 51*j - 21. Let n(i) = -6*d(i) + 26*m(i). What is n(5)?\n' | b'16\n' | b'Let m(z) = 4*z**2 - 12*z - 5. Let d(j) = 17*j**2 - 51*j - 21. Let n(i) = -6*d(i) + 26*m(i). What is n(5)?\n' | b'16\n' | deepmind/math_dataset |
b'Simplify (r*r/(r/(r**(1/11)*r)*r)*r*r*r**(-3/10)*(r*r/r**2*r*r)/(r*(r**4/r)/r*r*r))**(17/2) assuming r is positive.\n' | b'r**(-391/220)\n' | b'Simplify (r*r/(r/(r**(1/11)*r)*r)*r*r*r**(-3/10)*(r*r/r**2*r*r)/(r*(r**4/r)/r*r*r))**(17/2) assuming r is positive.\n' | b'r**(-391/220)\n' | deepmind/math_dataset |
b'What is prob of sequence dd when two letters picked without replacement from {e: 2, d: 2}?\n' | b'1/6\n' | b'What is prob of sequence dd when two letters picked without replacement from {e: 2, d: 2}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence qq when two letters picked without replacement from vqqcvhcqhvvvqqqx.\n' | b'1/8\n' | b'Calculate prob of sequence qq when two letters picked without replacement from vqqcvhcqhvvvqqqx.\n' | b'1/8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 3, t: 1, h: 1}. Give prob of picking 1 t and 1 u.\n' | b'3/10\n' | b'Two letters picked without replacement from {u: 3, t: 1, h: 1}. Give prob of picking 1 t and 1 u.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let d(h) be the first derivative of 7*h - 6 + 2/3*h**3 + 0*h**2. Differentiate d(w) with respect to w.\n' | b'4*w\n' | b'Let d(h) be the first derivative of 7*h - 6 + 2/3*h**3 + 0*h**2. Differentiate d(w) with respect to w.\n' | b'4*w\n' | deepmind/math_dataset |
b'Suppose -6 = -3*y, 4*y - 49 + 20 = -3*b. Let x(s) = 27*s + 31*s - 50*s - s**2 - b. What is x(7)?\n' | b'0\n' | b'Suppose -6 = -3*y, 4*y - 49 + 20 = -3*b. Let x(s) = 27*s + 31*s - 50*s - s**2 - b. What is x(7)?\n' | b'0\n' | deepmind/math_dataset |
b'Let b(a) = 5*a**3 - 17*a**2 - 4*a + 13. Let f(y) = -14*y**3 + 50*y**2 + 11*y - 39. Let n(r) = -17*b(r) - 6*f(r). Suppose -55*k + 5*k = 550. What is n(k)?\n' | b'-9\n' | b'Let b(a) = 5*a**3 - 17*a**2 - 4*a + 13. Let f(y) = -14*y**3 + 50*y**2 + 11*y - 39. Let n(r) = -17*b(r) - 6*f(r). Suppose -55*k + 5*k = 550. What is n(k)?\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ggiiiii. Give prob of picking 2 g.\n' | b'1/21\n' | b'Two letters picked without replacement from ggiiiii. Give prob of picking 2 g.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (y/y**(-13)*y*y**(2/17))**49 assuming y is positive.\n' | b'y**(12593/17)\n' | b'Simplify (y/y**(-13)*y*y**(2/17))**49 assuming y is positive.\n' | b'y**(12593/17)\n' | deepmind/math_dataset |
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