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'Two letters picked without replacement from uuumukkukkk. What is prob of picking 1 m and 1 u?\n' | b'1/11\n' | b'Two letters picked without replacement from uuumukkukkk. What is prob of picking 1 m and 1 u?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let k(b) be the first derivative of 59*b**4/4 - 2*b**3/3 + 137*b**2/2 + 428. Find the third derivative of k(h) wrt h.\n' | b'354\n' | b'Let k(b) be the first derivative of 59*b**4/4 - 2*b**3/3 + 137*b**2/2 + 428. Find the third derivative of k(h) wrt h.\n' | b'354\n' | deepmind/math_dataset |
b'Suppose 0 = 5*g - 5 - 5. Suppose 2*z - 8 = -4*f - 0*z, g = f + 3*z. Solve 3*y - 4*r = f, 0 = -r + 2 - 1 for y.\n' | b'2\n' | b'Suppose 0 = 5*g - 5 - 5. Suppose 2*z - 8 = -4*f - 0*z, g = f + 3*z. Solve 3*y - 4*r = f, 0 = -r + 2 - 1 for y.\n' | b'2\n' | deepmind/math_dataset |
b'Let s = -86 + 86. Solve 2 = 3*w + 2*x - 6, s = -2*w - 4*x for w.\n' | b'4\n' | b'Let s = -86 + 86. Solve 2 = 3*w + 2*x - 6, s = -2*w - 4*x for w.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify s**(-11)/(s*s**(1/8))*s**(-5)/(s*s**(2/19)) assuming s is positive.\n' | b's**(-2771/152)\n' | b'Simplify s**(-11)/(s*s**(1/8))*s**(-5)/(s*s**(2/19)) assuming s is positive.\n' | b's**(-2771/152)\n' | deepmind/math_dataset |
b'Suppose -16 = -4*a, 5*m - 56 + 24 = -3*a. What is the second derivative of 133*j**m + 16*j - 10*j - 11*j wrt j?\n' | b'1596*j**2\n' | b'Suppose -16 = -4*a, 5*m - 56 + 24 = -3*a. What is the second derivative of 133*j**m + 16*j - 10*j - 11*j wrt j?\n' | b'1596*j**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 8, o: 9, y: 2}. Give prob of picking 1 o and 2 y.\n' | b'3/323\n' | b'Three letters picked without replacement from {p: 8, o: 9, y: 2}. Give prob of picking 1 o and 2 y.\n' | b'3/323\n' | deepmind/math_dataset |
b'What is prob of sequence yh when two letters picked without replacement from {y: 11, h: 3}?\n' | b'33/182\n' | b'What is prob of sequence yh when two letters picked without replacement from {y: 11, h: 3}?\n' | b'33/182\n' | deepmind/math_dataset |
b'Let a(d) = d**3 + 3*d**2 - 3*d - 4. Let f(q) = 13*q - 7. Let c(z) = 7*z - 4. Let o(p) = -7*c(p) + 4*f(p). Let k be 12/(-7 + 3) - -2. Let j be o(k). Give a(j).\n' | b'5\n' | b'Let a(d) = d**3 + 3*d**2 - 3*d - 4. Let f(q) = 13*q - 7. Let c(z) = 7*z - 4. Let o(p) = -7*c(p) + 4*f(p). Let k be 12/(-7 + 3) - -2. Let j be o(k). Give a(j).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 4*a = -5*f + 90 + 20, -3*a = -15. Solve -5*s = 3*g + 17, 0 = -2*g + 3*s + s + f for g.\n' | b'1\n' | b'Suppose 4*a = -5*f + 90 + 20, -3*a = -15. Solve -5*s = 3*g + 17, 0 = -2*g + 3*s + s + f for g.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = 28*o - 23*o - 165. Suppose 0 = 2*w + 4*u - 16, 0*w = -3*w + 3*u + o. Let c(p) = p - 6. What is c(w)?\n' | b'4\n' | b'Suppose 0 = 28*o - 23*o - 165. Suppose 0 = 2*w + 4*u - 16, 0*w = -3*w + 3*u + o. Let c(p) = p - 6. What is c(w)?\n' | b'4\n' | deepmind/math_dataset |
b'Let x(s) = s**3 - 9*s**2 + 11*s - 20. Suppose -16*a + 12*a = -32. Let n be x(a). Solve 5*c = -n*v + 15, 5*v - 4*c = 3*v + 14 for v.\n' | b'5\n' | b'Let x(s) = s**3 - 9*s**2 + 11*s - 20. Suppose -16*a + 12*a = -32. Let n be x(a). Solve 5*c = -n*v + 15, 5*v - 4*c = 3*v + 14 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let a = 129 + -67. Let b = a - 53. Let f = b - 6. Solve 0 = f*y - 2*v + 10, 3*y - 5*y = 3*v + 11 for y.\n' | b'-4\n' | b'Let a = 129 + -67. Let b = a - 53. Let f = b - 6. Solve 0 = f*y - 2*v + 10, 3*y - 5*y = 3*v + 11 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((n*n**(-4/15)*n)/(n*n**2))/((n**33/n)/n**25) assuming n is positive.\n' | b'n**(-124/15)\n' | b'Simplify ((n*n**(-4/15)*n)/(n*n**2))/((n**33/n)/n**25) assuming n is positive.\n' | b'n**(-124/15)\n' | deepmind/math_dataset |
b'Let h(z) = z**3 - 3*z**2 - 4*z - 4. Let u be -33 + 0/(-2) + 3. Let b be 36/(-30)*u/9. Give h(b).\n' | b'-4\n' | b'Let h(z) = z**3 - 3*z**2 - 4*z - 4. Let u be -33 + 0/(-2) + 3. Let b be 36/(-30)*u/9. Give h(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (n*n**(-2/5))/(n/(n/(n**(11/3)*n)))*n/(n**3/n)*n*n**(3/4)*n assuming n is positive.\n' | b'n**(-139/60)\n' | b'Simplify (n*n**(-2/5))/(n/(n/(n**(11/3)*n)))*n/(n**3/n)*n*n**(3/4)*n assuming n is positive.\n' | b'n**(-139/60)\n' | deepmind/math_dataset |
b'Let b(y) = -14*y - 75. Let t be b(-6). Let u(i) = 3*i + 7 - i + i - i. Determine u(t).\n' | b'25\n' | b'Let b(y) = -14*y - 75. Let t be b(-6). Let u(i) = 3*i + 7 - i + i - i. Determine u(t).\n' | b'25\n' | deepmind/math_dataset |
b'Find the second derivative of 1804 - 22 - 6427*j**2 - 180*j + 960 - 358 + 179*j wrt j.\n' | b'-12854\n' | b'Find the second derivative of 1804 - 22 - 6427*j**2 - 180*j + 960 - 358 + 179*j wrt j.\n' | b'-12854\n' | deepmind/math_dataset |
b'Let g(u) = -2*u**2 - 14*u - 4. Let m be g(-6). Let t be (-19)/m + 39/104. Let n(y) = -5*y + 2. What is n(t)?\n' | b'12\n' | b'Let g(u) = -2*u**2 - 14*u - 4. Let m be g(-6). Let t be (-19)/m + 39/104. Let n(y) = -5*y + 2. What is n(t)?\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 2 z when three letters picked without replacement from wwbvuzvbuubzvubbb.\n' | b'3/340\n' | b'Calculate prob of picking 1 b and 2 z when three letters picked without replacement from wwbvuzvbuubzvubbb.\n' | b'3/340\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 q when two letters picked without replacement from vvvveeeeveoqkqvekqe.\n' | b'1/57\n' | b'Calculate prob of picking 1 o and 1 q when two letters picked without replacement from vvvveeeeveoqkqvekqe.\n' | b'1/57\n' | deepmind/math_dataset |
b'Simplify (j**(2/7)*j*j**(-10)*j**(-17)*j**(-3/10))**(-12) assuming j is positive.\n' | b'j**(10926/35)\n' | b'Simplify (j**(2/7)*j*j**(-10)*j**(-17)*j**(-3/10))**(-12) assuming j is positive.\n' | b'j**(10926/35)\n' | deepmind/math_dataset |
b'Let t(k) be the second derivative of -k**6/15 - 11*k**3/6 - 15*k**2 - 78*k. Find the first derivative of t(z) wrt z.\n' | b'-8*z**3 - 11\n' | b'Let t(k) be the second derivative of -k**6/15 - 11*k**3/6 - 15*k**2 - 78*k. Find the first derivative of t(z) wrt z.\n' | b'-8*z**3 - 11\n' | deepmind/math_dataset |
b'Suppose 6*j = -2*j. Suppose j*x - 5*l = -3*x + 63, 12 = 4*l. Differentiate -1358*q + x + 1358*q + 15*q**4 with respect to q.\n' | b'60*q**3\n' | b'Suppose 6*j = -2*j. Suppose j*x - 5*l = -3*x + 63, 12 = 4*l. Differentiate -1358*q + x + 1358*q + 15*q**4 with respect to q.\n' | b'60*q**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, q: 1, v: 1, l: 1, f: 3, u: 5}. What is prob of picking 1 v, 1 u, and 1 q?\n' | b'1/44\n' | b'Three letters picked without replacement from {h: 1, q: 1, v: 1, l: 1, f: 3, u: 5}. What is prob of picking 1 v, 1 u, and 1 q?\n' | b'1/44\n' | deepmind/math_dataset |
b'Let j(g) = -10044*g**2 + 7408*g. Let a(v) = -8*v**2 + 3*v. Let f(p) = -12*a(p) + j(p). Find the second derivative of f(u) wrt u.\n' | b'-19896\n' | b'Let j(g) = -10044*g**2 + 7408*g. Let a(v) = -8*v**2 + 3*v. Let f(p) = -12*a(p) + j(p). Find the second derivative of f(u) wrt u.\n' | b'-19896\n' | deepmind/math_dataset |
b'Simplify ((((z*(z/(z*z**(2/19)))/z)/z**(-1/8))/(z**(2/25)/(z/(z*z*z*z**0*z*z*z*z))))**(-1/56))**35 assuming z is positive.\n' | b'z**(23029/6080)\n' | b'Simplify ((((z*(z/(z*z**(2/19)))/z)/z**(-1/8))/(z**(2/25)/(z/(z*z*z*z**0*z*z*z*z))))**(-1/56))**35 assuming z is positive.\n' | b'z**(23029/6080)\n' | deepmind/math_dataset |
b'Let q(s) be the first derivative of -27*s**2/2 + 11*s - 3082. Calculate q(-5).\n' | b'146\n' | b'Let q(s) be the first derivative of -27*s**2/2 + 11*s - 3082. Calculate q(-5).\n' | b'146\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 2, p: 3, u: 4, l: 3, s: 4}. What is prob of picking 1 l, 1 e, and 1 p?\n' | b'9/280\n' | b'Three letters picked without replacement from {e: 2, p: 3, u: 4, l: 3, s: 4}. What is prob of picking 1 l, 1 e, and 1 p?\n' | b'9/280\n' | deepmind/math_dataset |
b'Let s(d) = -5*d**2 - 2*d + 9. Let u(b) = -22*b**2 - 8*b + 37. Let z(v) = -9*s(v) + 2*u(v). Give z(5).\n' | b'28\n' | b'Let s(d) = -5*d**2 - 2*d + 9. Let u(b) = -22*b**2 - 8*b + 37. Let z(v) = -9*s(v) + 2*u(v). Give z(5).\n' | b'28\n' | deepmind/math_dataset |
b'Simplify d**(-5/3)/d**(-8)*d**(-4/7)/d*d*d/((((d*d**(-2))/d)/d)/d*d) assuming d is positive.\n' | b'd**(205/21)\n' | b'Simplify d**(-5/3)/d**(-8)*d**(-4/7)/d*d*d/((((d*d**(-2))/d)/d)/d*d) assuming d is positive.\n' | b'd**(205/21)\n' | deepmind/math_dataset |
b'Let m be 8 + -1 + (1 - 3). Suppose 16 = 2*s + 3*a, 2*s = -s - a + 10. Let l be 6/(-33) + s/11. Solve -y + l*r = 2*r - 4, 4 = -m*y - 2*r for y.\n' | b'-2\n' | b'Let m be 8 + -1 + (1 - 3). Suppose 16 = 2*s + 3*a, 2*s = -s - a + 10. Let l be 6/(-33) + s/11. Solve -y + l*r = 2*r - 4, 4 = -m*y - 2*r for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -3*t = 2*s + s, -4*t - s = -6. Suppose 4*x + 10 = 5*g + 5*x, 10 = -2*x. Solve -l + 15 = -3*f + g*l, -11 = t*f - 3*l for f.\n' | b'-1\n' | b'Suppose -3*t = 2*s + s, -4*t - s = -6. Suppose 4*x + 10 = 5*g + 5*x, 10 = -2*x. Solve -l + 15 = -3*f + g*l, -11 = t*f - 3*l for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((a**2/a)/(a*(a*a**(-10))/a))/((a/(a*a**(-2/9)/a))/(a/a**(3/8))) assuming a is positive.\n' | b'a**(677/72)\n' | b'Simplify ((a**2/a)/(a*(a*a**(-10))/a))/((a/(a*a**(-2/9)/a))/(a/a**(3/8))) assuming a is positive.\n' | b'a**(677/72)\n' | deepmind/math_dataset |
b'What is prob of sequence hv when two letters picked without replacement from {h: 1, v: 1, m: 2}?\n' | b'1/12\n' | b'What is prob of sequence hv when two letters picked without replacement from {h: 1, v: 1, m: 2}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let d = 212 + -204. Let c(w) = -6*w**2 - 5 + w**3 - d + 18 + 4*w + w. Calculate c(5).\n' | b'5\n' | b'Let d = 212 + -204. Let c(w) = -6*w**2 - 5 + w**3 - d + 18 + 4*w + w. Calculate c(5).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence wan when three letters picked without replacement from nwaw.\n' | b'1/12\n' | b'Calculate prob of sequence wan when three letters picked without replacement from nwaw.\n' | b'1/12\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {a: 7, o: 3, l: 9}.\n' | b'7/19\n' | b'Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {a: 7, o: 3, l: 9}.\n' | b'7/19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 3, n: 3}. Give prob of picking 1 n and 2 t.\n' | b'9/20\n' | b'Three letters picked without replacement from {t: 3, n: 3}. Give prob of picking 1 n and 2 t.\n' | b'9/20\n' | deepmind/math_dataset |
b'Let l(x) = x**2 - 3*x - 6. Suppose -h - 10 = -3*h. Let j be l(h). Solve -5*n = -4*s - 16, 0 = s - j*n - 0*n + 15 for s.\n' | b'1\n' | b'Let l(x) = x**2 - 3*x - 6. Suppose -h - 10 = -3*h. Let j be l(h). Solve -5*n = -4*s - 16, 0 = s - j*n - 0*n + 15 for s.\n' | b'1\n' | deepmind/math_dataset |
b'Find the third derivative of -2674*l**4 - 292 - 3*l + 9257*l**2 - 2447*l**4 - 9259*l**2 + 2*l + 2*l wrt l.\n' | b'-122904*l\n' | b'Find the third derivative of -2674*l**4 - 292 - 3*l + 9257*l**2 - 2447*l**4 - 9259*l**2 + 2*l + 2*l wrt l.\n' | b'-122904*l\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xcpppczppsppbpsspzp. Give prob of sequence cz.\n' | b'2/171\n' | b'Two letters picked without replacement from xcpppczppsppbpsspzp. Give prob of sequence cz.\n' | b'2/171\n' | deepmind/math_dataset |
b'Simplify (r*(r*r**(-4/7)/r)/r*r)**(-28) assuming r is positive.\n' | b'r**(-12)\n' | b'Simplify (r*(r*r**(-4/7)/r)/r*r)**(-28) assuming r is positive.\n' | b'r**(-12)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 2, k: 3, e: 2, u: 3, p: 1, y: 4}. Give prob of picking 1 u, 2 k, and 1 y.\n' | b'12/455\n' | b'Four letters picked without replacement from {m: 2, k: 3, e: 2, u: 3, p: 1, y: 4}. Give prob of picking 1 u, 2 k, and 1 y.\n' | b'12/455\n' | deepmind/math_dataset |
b'Let s(h) be the first derivative of -5482*h**3/3 + 3*h**2 + 1480*h + 7749. What is the second derivative of s(i) wrt i?\n' | b'-10964\n' | b'Let s(h) be the first derivative of -5482*h**3/3 + 3*h**2 + 1480*h + 7749. What is the second derivative of s(i) wrt i?\n' | b'-10964\n' | deepmind/math_dataset |
b'Find the second derivative of -199*s + 254*s**3 - 5083*s**4 - 759*s**3 + 256*s**3 - 3 + 249*s**3 wrt s.\n' | b'-60996*s**2\n' | b'Find the second derivative of -199*s + 254*s**3 - 5083*s**4 - 759*s**3 + 256*s**3 - 3 + 249*s**3 wrt s.\n' | b'-60996*s**2\n' | deepmind/math_dataset |
b'Simplify (p*p**(1/5)*p*p*p/p**(-1/21))/(p**(-21/5))**(-45) assuming p is positive.\n' | b'p**(-19399/105)\n' | b'Simplify (p*p**(1/5)*p*p*p/p**(-1/21))/(p**(-21/5))**(-45) assuming p is positive.\n' | b'p**(-19399/105)\n' | deepmind/math_dataset |
b'Let a = 12118 + -12114. Let l(z) be the third derivative of 0*z - 9*z**2 - 1/12*z**a + 1/60*z**5 + 0 - 7/6*z**3. Calculate l(5).\n' | b'8\n' | b'Let a = 12118 + -12114. Let l(z) be the third derivative of 0*z - 9*z**2 - 1/12*z**a + 1/60*z**5 + 0 - 7/6*z**3. Calculate l(5).\n' | b'8\n' | deepmind/math_dataset |
b'Let h = 2 + -3. Let t = 4 + h. Find the second derivative of x**4 + 4*x - t*x + 0*x**4 wrt x.\n' | b'12*x**2\n' | b'Let h = 2 + -3. Let t = 4 + h. Find the second derivative of x**4 + 4*x - t*x + 0*x**4 wrt x.\n' | b'12*x**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zmzmmzzmflzmfqln. Give prob of sequence qm.\n' | b'1/48\n' | b'Two letters picked without replacement from zmzmmzzmflzmfqln. Give prob of sequence qm.\n' | b'1/48\n' | deepmind/math_dataset |
b'Suppose 2*f = -a - 2, -3*a = -4*f + 11 + 5. Let n = -2 - a. Solve 0*i = -4*t + 3*i + 15, -10 = -4*t + n*i for t.\n' | b'0\n' | b'Suppose 2*f = -a - 2, -3*a = -4*f + 11 + 5. Let n = -2 - a. Solve 0*i = -4*t + 3*i + 15, -10 = -4*t + n*i for t.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 50 = 4*y + 18. Let t = 571 - 529. Let s be (-3)/12 + t/y. Solve 0 = -c + 3*a - 11, -s*a - 4 - 6 = 4*c for c.\n' | b'-5\n' | b'Suppose 50 = 4*y + 18. Let t = 571 - 529. Let s be (-3)/12 + t/y. Solve 0 = -c + 3*a - 11, -s*a - 4 - 6 = 4*c for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fiobboiifbbbb. Give prob of sequence ibfb.\n' | b'3/286\n' | b'Four letters picked without replacement from fiobboiifbbbb. Give prob of sequence ibfb.\n' | b'3/286\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nmmnnn. Give prob of picking 4 n.\n' | b'1/15\n' | b'Four letters picked without replacement from nmmnnn. Give prob of picking 4 n.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let y(u) = -43*u**3 - 18*u**2 - 2*u - 2. Let h(a) = 171*a**3 + 74*a**2 + 9*a + 9. Let g(k) = -2*h(k) - 9*y(k). What is the third derivative of g(i) wrt i?\n' | b'270\n' | b'Let y(u) = -43*u**3 - 18*u**2 - 2*u - 2. Let h(a) = 171*a**3 + 74*a**2 + 9*a + 9. Let g(k) = -2*h(k) - 9*y(k). What is the third derivative of g(i) wrt i?\n' | b'270\n' | deepmind/math_dataset |
b'Let h be -6 + 6 - (-1 + -4). Differentiate -3*v**4 - h - 1 + 9*v**4 wrt v.\n' | b'24*v**3\n' | b'Let h be -6 + 6 - (-1 + -4). Differentiate -3*v**4 - h - 1 + 9*v**4 wrt v.\n' | b'24*v**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 1 t, and 1 k when three letters picked without replacement from uwtkl.\n' | b'1/10\n' | b'Calculate prob of picking 1 l, 1 t, and 1 k when three letters picked without replacement from uwtkl.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let y(t) = -t + 3. Let w be y(5). Let f(z) be the third derivative of -z**6/120 + z**4/24 - z**3/3 - 2*z**2. Determine f(w).\n' | b'4\n' | b'Let y(t) = -t + 3. Let w be y(5). Let f(z) be the third derivative of -z**6/120 + z**4/24 - z**3/3 - 2*z**2. Determine f(w).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence zzme when four letters picked without replacement from {o: 2, z: 1, r: 2, e: 3, c: 1, m: 9}?\n' | b'0\n' | b'What is prob of sequence zzme when four letters picked without replacement from {o: 2, z: 1, r: 2, e: 3, c: 1, m: 9}?\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 3, f: 8}. What is prob of picking 3 p?\n' | b'1/165\n' | b'Three letters picked without replacement from {p: 3, f: 8}. What is prob of picking 3 p?\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify ((y*y/(y**(2/39)*y)*y)/(y/(y**4*y))*y**(2/7)*y*y**(-1/22))**(-8/9) assuming y is positive.\n' | b'y**(-172708/27027)\n' | b'Simplify ((y*y/(y**(2/39)*y)*y)/(y/(y**4*y))*y**(2/7)*y*y**(-1/22))**(-8/9) assuming y is positive.\n' | b'y**(-172708/27027)\n' | deepmind/math_dataset |
b'Let g(k) be the second derivative of 0 + 3*k**2 - 3/2*k**3 + 1/12*k**4 - 4*k. What is g(9)?\n' | b'6\n' | b'Let g(k) be the second derivative of 0 + 3*k**2 - 3/2*k**3 + 1/12*k**4 - 4*k. What is g(9)?\n' | b'6\n' | deepmind/math_dataset |
b'Let p(o) = -3*o + 4*o**2 - 5*o**2 + 2*o**2 + 5. Let q(w) = -w - 3. Let s be q(-7). What is p(s)?\n' | b'9\n' | b'Let p(o) = -3*o + 4*o**2 - 5*o**2 + 2*o**2 + 5. Let q(w) = -w - 3. Let s be q(-7). What is p(s)?\n' | b'9\n' | deepmind/math_dataset |
b'Let h(k) be the third derivative of -1/120*k**6 - 24*k**2 - 7/24*k**4 + 0*k + 0 - 7/60*k**5 + 0*k**3. Let p be -4*(-3)/6 + -8. Calculate h(p).\n' | b'6\n' | b'Let h(k) be the third derivative of -1/120*k**6 - 24*k**2 - 7/24*k**4 + 0*k + 0 - 7/60*k**5 + 0*k**3. Let p be -4*(-3)/6 + -8. Calculate h(p).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pppmmmlpmupup. What is prob of picking 2 p?\n' | b'5/26\n' | b'Two letters picked without replacement from pppmmmlpmupup. What is prob of picking 2 p?\n' | b'5/26\n' | deepmind/math_dataset |
b'Simplify ((g**(-2/5)/g)/(g**(1/2)*g))/(g**(-4/5)*g**(-2/11)/g) assuming g is positive.\n' | b'g**(-101/110)\n' | b'Simplify ((g**(-2/5)/g)/(g**(1/2)*g))/(g**(-4/5)*g**(-2/11)/g) assuming g is positive.\n' | b'g**(-101/110)\n' | deepmind/math_dataset |
b'Suppose -29*c + 8 = -21*c. Let w(l) = 44*l**4 + l - 69. Let z(b) = -b**4 - b + 1. Let t(g) = c*w(g) + z(g). Differentiate t(u) with respect to u.\n' | b'172*u**3\n' | b'Suppose -29*c + 8 = -21*c. Let w(l) = 44*l**4 + l - 69. Let z(b) = -b**4 - b + 1. Let t(g) = c*w(g) + z(g). Differentiate t(u) with respect to u.\n' | b'172*u**3\n' | deepmind/math_dataset |
b'Let k(r) = 190*r**3 - 6*r**2 - 8*r + 50. Let l(i) = 568*i**3 - 17*i**2 - 22*i + 151. Let c(m) = 11*k(m) - 4*l(m). Find the first derivative of c(x) wrt x.\n' | b'-546*x**2 + 4*x\n' | b'Let k(r) = 190*r**3 - 6*r**2 - 8*r + 50. Let l(i) = 568*i**3 - 17*i**2 - 22*i + 151. Let c(m) = 11*k(m) - 4*l(m). Find the first derivative of c(x) wrt x.\n' | b'-546*x**2 + 4*x\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nnnbnvnbnn. What is prob of picking 1 v, 2 b, and 1 n?\n' | b'1/30\n' | b'Four letters picked without replacement from nnnbnvnbnn. What is prob of picking 1 v, 2 b, and 1 n?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let h(r) = -r**3 - 5*r**2 - 2*r + 2. Suppose 4*w = 3*n + 24, -2*w = -w - 3*n + 3. Let d be (20/6)/(10/15). Suppose 24 - w = -d*u. Determine h(u).\n' | b'-10\n' | b'Let h(r) = -r**3 - 5*r**2 - 2*r + 2. Suppose 4*w = 3*n + 24, -2*w = -w - 3*n + 3. Let d be (20/6)/(10/15). Suppose 24 - w = -d*u. Determine h(u).\n' | b'-10\n' | deepmind/math_dataset |
b'Let y be (-2115)/(-329) + 3/(-7). Suppose 2*w - 20 - 3 = -5*a, 25 = 3*a + 4*w. Solve 4*q - a*k = -5 - 4, -2*k = -y for q.\n' | b'0\n' | b'Let y be (-2115)/(-329) + 3/(-7). Suppose 2*w - 20 - 3 = -5*a, 25 = 3*a + 4*w. Solve 4*q - a*k = -5 - 4, -2*k = -y for q.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, o: 1, z: 3, d: 1, t: 1}. Give prob of picking 2 z.\n' | b'1/7\n' | b'Two letters picked without replacement from {j: 1, o: 1, z: 3, d: 1, t: 1}. Give prob of picking 2 z.\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose 0 = -7*v - 12*v + 95. Suppose 2*w + 5 = 15. Solve 9 + 16 = -w*f - 3*d, v*d + 27 = -f for f.\n' | b'-2\n' | b'Suppose 0 = -7*v - 12*v + 95. Suppose 2*w + 5 = 15. Solve 9 + 16 = -w*f - 3*d, v*d + 27 = -f for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 2*w + 36 = 5*w. Let k be (-2)/(-4)*(2 + w). Let z(p) = p**3 - 7*p**2 + p. Calculate z(k).\n' | b'7\n' | b'Suppose 2*w + 36 = 5*w. Let k be (-2)/(-4)*(2 + w). Let z(p) = p**3 - 7*p**2 + p. Calculate z(k).\n' | b'7\n' | deepmind/math_dataset |
b'Let y(d) be the first derivative of d**7/168 - 5*d**4/24 - d**3 - 4. Let c(b) be the third derivative of y(b). Find the first derivative of c(p) wrt p.\n' | b'15*p**2\n' | b'Let y(d) be the first derivative of d**7/168 - 5*d**4/24 - d**3 - 4. Let c(b) be the third derivative of y(b). Find the first derivative of c(p) wrt p.\n' | b'15*p**2\n' | deepmind/math_dataset |
b'Simplify (w*w**5*w**(3/7)*w**(-3)*w**(-6/11))**(2/17) assuming w is positive.\n' | b'w**(444/1309)\n' | b'Simplify (w*w**5*w**(3/7)*w**(-3)*w**(-6/11))**(2/17) assuming w is positive.\n' | b'w**(444/1309)\n' | deepmind/math_dataset |
b'Let u(s) be the first derivative of -s**5/20 - 5*s**4/12 + 5*s**3/6 - 5*s**2/2 - s - 3. Let t(f) be the first derivative of u(f). Calculate t(-6).\n' | b'1\n' | b'Let u(s) be the first derivative of -s**5/20 - 5*s**4/12 + 5*s**3/6 - 5*s**2/2 - s - 3. Let t(f) be the first derivative of u(f). Calculate t(-6).\n' | b'1\n' | deepmind/math_dataset |
b'Let c(b) = -b**3 + 5*b**2 + 8*b - 3. Suppose 4*q - 6 = 3*q. Give c(q).\n' | b'9\n' | b'Let c(b) = -b**3 + 5*b**2 + 8*b - 3. Suppose 4*q - 6 = 3*q. Give c(q).\n' | b'9\n' | deepmind/math_dataset |
b'Let p(u) = 0*u**2 - 50*u**2 + 6 + 7*u**3 + 8*u**2 - 27*u**2 - 35*u - 5*u**3. Give p(35).\n' | b'6\n' | b'Let p(u) = 0*u**2 - 50*u**2 + 6 + 7*u**3 + 8*u**2 - 27*u**2 - 35*u - 5*u**3. Give p(35).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((u**0)**18/(u**0)**(-2/19))**(-1/7) assuming u is positive.\n' | b'1\n' | b'Simplify ((u**0)**18/(u**0)**(-2/19))**(-1/7) assuming u is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -76*d = 73 - 453. Solve 2*v - 3*f - 8 = 0, d*f = -3*v + 3*f - 1 for v.\n' | b'1\n' | b'Suppose -76*d = 73 - 453. Solve 2*v - 3*f - 8 = 0, d*f = -3*v + 3*f - 1 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ibiiiiiibii. What is prob of picking 4 i?\n' | b'21/55\n' | b'Four letters picked without replacement from ibiiiiiibii. What is prob of picking 4 i?\n' | b'21/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 1, j: 2, w: 2, z: 2, r: 1}. What is prob of picking 2 z and 1 j?\n' | b'1/28\n' | b'Three letters picked without replacement from {p: 1, j: 2, w: 2, z: 2, r: 1}. What is prob of picking 2 z and 1 j?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let x(j) = -3*j**3 - 9*j**2 + 12*j - 20. Let w(f) = 7*f**3 + 17*f**2 - 25*f + 40. Let a(p) = 2*w(p) + 5*x(p). Give a(-12).\n' | b'4\n' | b'Let x(j) = -3*j**3 - 9*j**2 + 12*j - 20. Let w(f) = 7*f**3 + 17*f**2 - 25*f + 40. Let a(p) = 2*w(p) + 5*x(p). Give a(-12).\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 2, h: 5, s: 3}. Give prob of picking 1 s and 1 h.\n' | b'1/3\n' | b'Two letters picked without replacement from {x: 2, h: 5, s: 3}. Give prob of picking 1 s and 1 h.\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (c*c*c**(-1/13)*c*c/(c**22*c))/(c**(3/19))**(-7/5) assuming c is positive.\n' | b'c**(-23287/1235)\n' | b'Simplify (c*c*c**(-1/13)*c*c/(c**22*c))/(c**(3/19))**(-7/5) assuming c is positive.\n' | b'c**(-23287/1235)\n' | deepmind/math_dataset |
b'Suppose 2*p + 4*f = -0*p + 16, -p - 4 = -4*f. Let i(o) be the second derivative of -o + 0 + 5/2*o**2 - 1/12*o**p + 0*o**3. Calculate i(0).\n' | b'5\n' | b'Suppose 2*p + 4*f = -0*p + 16, -p - 4 = -4*f. Let i(o) be the second derivative of -o + 0 + 5/2*o**2 - 1/12*o**p + 0*o**3. Calculate i(0).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 11, l: 1}. What is prob of picking 4 z?\n' | b'2/3\n' | b'Four letters picked without replacement from {z: 11, l: 1}. What is prob of picking 4 z?\n' | b'2/3\n' | deepmind/math_dataset |
b'Let n(l) = l**2 + 9*l + 10. Let y be n(-5). Let a be (-21)/(-35) - 14/y. Solve -m - 2 = -3*w, -2*m - a = -m + w for m.\n' | b'-2\n' | b'Let n(l) = l**2 + 9*l + 10. Let y be n(-5). Let a be (-21)/(-35) - 14/y. Solve -m - 2 = -3*w, -2*m - a = -m + w for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(g) be the first derivative of -1/2*g**2 - 31*g**4 + 0*g**3 - 77 - 4*g. Find the second derivative of y(m) wrt m.\n' | b'-744*m\n' | b'Let y(g) be the first derivative of -1/2*g**2 - 31*g**4 + 0*g**3 - 77 - 4*g. Find the second derivative of y(m) wrt m.\n' | b'-744*m\n' | deepmind/math_dataset |
b'Let m = 152 + -150. Let q be 6/1 + -3 + m. Solve -11 - 3 = -q*t + k, 0 = 4*t + 5*k - 17 for t.\n' | b'3\n' | b'Let m = 152 + -150. Let q be 6/1 + -3 + m. Solve -11 - 3 = -q*t + k, 0 = 4*t + 5*k - 17 for t.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from oowooowo?\n' | b'1/28\n' | b'What is prob of sequence ww when two letters picked without replacement from oowooowo?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let o(d) = -d**2 + 12*d + 34. Let j be o(14). Suppose -j = -7*u + 8. Solve u*h = 4*f - 7 + 1, -2*h + 3*f = 5 for h.\n' | b'-1\n' | b'Let o(d) = -d**2 + 12*d + 34. Let j be o(14). Suppose -j = -7*u + 8. Solve u*h = 4*f - 7 + 1, -2*h + 3*f = 5 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 8*m + 114 - 26 = 0. Let s(o) = -9*o - 97. Calculate s(m).\n' | b'2\n' | b'Suppose 8*m + 114 - 26 = 0. Let s(o) = -9*o - 97. Calculate s(m).\n' | b'2\n' | deepmind/math_dataset |
b'Let d(w) be the first derivative of -3*w**5 - 12*w**4 - 725*w**3/3 + 8451. Find the third derivative of d(z) wrt z.\n' | b'-360*z - 288\n' | b'Let d(w) be the first derivative of -3*w**5 - 12*w**4 - 725*w**3/3 + 8451. Find the third derivative of d(z) wrt z.\n' | b'-360*z - 288\n' | deepmind/math_dataset |
b'Let h(n) be the first derivative of -n**3/3 - n**2/2 + 36. Let x(g) = 18*g**2 - 13*g. Let w(v) = -6*h(v) - 2*x(v). Find the second derivative of w(q) wrt q.\n' | b'-60\n' | b'Let h(n) be the first derivative of -n**3/3 - n**2/2 + 36. Let x(g) = 18*g**2 - 13*g. Let w(v) = -6*h(v) - 2*x(v). Find the second derivative of w(q) wrt q.\n' | b'-60\n' | deepmind/math_dataset |
b'Let l(h) be the third derivative of 0 + 0*h - 15*h**2 + 0*h**4 + 1/20*h**5 - 4/3*h**3. What is the derivative of l(s) wrt s?\n' | b'6*s\n' | b'Let l(h) be the third derivative of 0 + 0*h - 15*h**2 + 0*h**4 + 1/20*h**5 - 4/3*h**3. What is the derivative of l(s) wrt s?\n' | b'6*s\n' | deepmind/math_dataset |
b'Simplify (h*h*h**(-11)*h)**47/(h**(-6/5)*h**(-29)/h) assuming h is positive.\n' | b'h**(-1724/5)\n' | b'Simplify (h*h*h**(-11)*h)**47/(h**(-6/5)*h**(-29)/h) assuming h is positive.\n' | b'h**(-1724/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppncnncno. Give prob of sequence co.\n' | b'1/36\n' | b'Two letters picked without replacement from ppncnncno. Give prob of sequence co.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let o(s) = 2*s**2 + 3*s - 3. Let c be o(-3). Let d be 8*(c/4 - 1). What is the second derivative of -11*q**3 + 11*q**3 - q - 3*q**d wrt q?\n' | b'-36*q**2\n' | b'Let o(s) = 2*s**2 + 3*s - 3. Let c be o(-3). Let d be 8*(c/4 - 1). What is the second derivative of -11*q**3 + 11*q**3 - q - 3*q**d wrt q?\n' | b'-36*q**2\n' | deepmind/math_dataset |
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