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'What is prob of picking 1 p and 1 l when two letters picked without replacement from {l: 2, e: 1, n: 2, p: 1}?\n' | b'2/15\n' | b'What is prob of picking 1 p and 1 l when two letters picked without replacement from {l: 2, e: 1, n: 2, p: 1}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Suppose 9 = 2*t - 19. Suppose 4*v - 34 = t. Solve -3*z - 2*z + 4*p + 20 = 0, 2*p + v = 3*z for z.\n' | b'4\n' | b'Suppose 9 = 2*t - 19. Suppose 4*v - 34 = t. Solve -3*z - 2*z + 4*p + 20 = 0, 2*p + v = 3*z for z.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ggww. What is prob of sequence gw?\n' | b'1/3\n' | b'Two letters picked without replacement from ggww. What is prob of sequence gw?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let u(l) be the second derivative of l**5/24 + l**4/8 + 3*l**3/2 + 5*l. Let h(r) be the second derivative of u(r). Determine h(-5).\n' | b'-22\n' | b'Let u(l) be the second derivative of l**5/24 + l**4/8 + 3*l**3/2 + 5*l. Let h(r) be the second derivative of u(r). Determine h(-5).\n' | b'-22\n' | deepmind/math_dataset |
b'Four letters picked without replacement from shssssss. What is prob of picking 2 h and 2 s?\n' | b'0\n' | b'Four letters picked without replacement from shssssss. What is prob of picking 2 h and 2 s?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence fww when three letters picked without replacement from wfw.\n' | b'1/3\n' | b'Calculate prob of sequence fww when three letters picked without replacement from wfw.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let n = -9 + 7. Let k(y) be the first derivative of 5*y**3/3 + 2*y**2 + 2*y - 5. Determine k(n).\n' | b'14\n' | b'Let n = -9 + 7. Let k(y) be the first derivative of 5*y**3/3 + 2*y**2 + 2*y - 5. Determine k(n).\n' | b'14\n' | deepmind/math_dataset |
b'Simplify ((((c*c*c/(c*c*c*(c*((c**(2/13)*c)/c)/c*c)/c)*c)/c)/(c/(c**(-1/3)/c))*((c**(2/37)*c)/c*c)/(c**(-2/3)*c))**(5/6))**27 assuming c is positive.\n' | b'c**(-38235/962)\n' | b'Simplify ((((c*c*c/(c*c*c*(c*((c**(2/13)*c)/c)/c*c)/c)*c)/c)/(c/(c**(-1/3)/c))*((c**(2/37)*c)/c*c)/(c**(-2/3)*c))**(5/6))**27 assuming c is positive.\n' | b'c**(-38235/962)\n' | deepmind/math_dataset |
b'Let c(w) = w + 1. Suppose 4*d + 236 - 904 = 0. Suppose d*m - 28 = 160*m. Give c(m).\n' | b'5\n' | b'Let c(w) = w + 1. Suppose 4*d + 236 - 904 = 0. Suppose d*m - 28 = 160*m. Give c(m).\n' | b'5\n' | deepmind/math_dataset |
b'Let z(l) = -l**3 - 7*l**2 - 7*l + 2. Let q(a) = 4*a + 11. Let m(k) = -k. Let g(b) = -2. Let h(n) = g(n) + m(n). Let v be h(2). Let t be q(v). Calculate z(t).\n' | b'-13\n' | b'Let z(l) = -l**3 - 7*l**2 - 7*l + 2. Let q(a) = 4*a + 11. Let m(k) = -k. Let g(b) = -2. Let h(n) = g(n) + m(n). Let v be h(2). Let t be q(v). Calculate z(t).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of picking 2 k when two letters picked without replacement from {j: 10, k: 4}?\n' | b'6/91\n' | b'What is prob of picking 2 k when two letters picked without replacement from {j: 10, k: 4}?\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify (((o/o**(2/3))/(o**(-2)*o))/(o**(-8)*o/(o**0*o)))**(12/5) assuming o is positive.\n' | b'o**(112/5)\n' | b'Simplify (((o/o**(2/3))/(o**(-2)*o))/(o**(-8)*o/(o**0*o)))**(12/5) assuming o is positive.\n' | b'o**(112/5)\n' | deepmind/math_dataset |
b'Let u = -11 + 11. Let o be (3 + (u - 2))*3. Let b be 0 + (-1)/(1/(-3)). Solve b*x - 32 = -4*q, 11 = -2*x + x + o*q for x.\n' | b'4\n' | b'Let u = -11 + 11. Let o be (3 + (u - 2))*3. Let b be 0 + (-1)/(1/(-3)). Solve b*x - 32 = -4*q, 11 = -2*x + x + o*q for x.\n' | b'4\n' | deepmind/math_dataset |
b'Let l(p) be the first derivative of -6005*p**4/4 - 15*p**3 + 9*p**2/2 + p + 28. Find the third derivative of l(j) wrt j.\n' | b'-36030\n' | b'Let l(p) be the first derivative of -6005*p**4/4 - 15*p**3 + 9*p**2/2 + p + 28. Find the third derivative of l(j) wrt j.\n' | b'-36030\n' | deepmind/math_dataset |
b'Find the second derivative of 4499*g**4 + 58*g - 3482*g**4 + 8 - 7 wrt g.\n' | b'12204*g**2\n' | b'Find the second derivative of 4499*g**4 + 58*g - 3482*g**4 + 8 - 7 wrt g.\n' | b'12204*g**2\n' | deepmind/math_dataset |
b'Let f(b) = -b**3 - 5*b**2 + 11*b + 7. Let j be f(-7). Suppose -4 = 4*x - j. Let g(p) = 2*p - 9. What is g(x)?\n' | b'3\n' | b'Let f(b) = -b**3 - 5*b**2 + 11*b + 7. Let j be f(-7). Suppose -4 = 4*x - j. Let g(p) = 2*p - 9. What is g(x)?\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, q: 5}. Give prob of picking 1 e and 1 q.\n' | b'15/28\n' | b'Two letters picked without replacement from {e: 3, q: 5}. Give prob of picking 1 e and 1 q.\n' | b'15/28\n' | deepmind/math_dataset |
b'Let y(z) = -54819*z**2 - 43316*z - 111. Let s(q) = 9137*q**2 + 7219*q + 18. Let j(v) = 37*s(v) + 6*y(v). What is the second derivative of j(f) wrt f?\n' | b'18310\n' | b'Let y(z) = -54819*z**2 - 43316*z - 111. Let s(q) = 9137*q**2 + 7219*q + 18. Let j(v) = 37*s(v) + 6*y(v). What is the second derivative of j(f) wrt f?\n' | b'18310\n' | deepmind/math_dataset |
b'Suppose 0 = -6*q + 7*q - 2. Find the third derivative of -78*j**q + 37*j**2 + 16*j**3 - 2*j**3 wrt j.\n' | b'84\n' | b'Suppose 0 = -6*q + 7*q - 2. Find the third derivative of -78*j**q + 37*j**2 + 16*j**3 - 2*j**3 wrt j.\n' | b'84\n' | deepmind/math_dataset |
b'Simplify ((k*k**(7/6))/k**3)**(-36)*(k*k/(k/(k/k**(1/4)))*k**(-3/8))**(-45) assuming k is positive.\n' | b'k**(-255/8)\n' | b'Simplify ((k*k**(7/6))/k**3)**(-36)*(k*k/(k/(k/k**(1/4)))*k**(-3/8))**(-45) assuming k is positive.\n' | b'k**(-255/8)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, a: 5, s: 1, h: 2}. Give prob of picking 1 a, 1 e, and 1 s.\n' | b'5/84\n' | b'Three letters picked without replacement from {e: 1, a: 5, s: 1, h: 2}. Give prob of picking 1 a, 1 e, and 1 s.\n' | b'5/84\n' | deepmind/math_dataset |
b'Suppose 10*z = 5*z + 115. What is the third derivative of 36*i**2 - i**2 + z*i**3 - 24*i**3 wrt i?\n' | b'-6\n' | b'Suppose 10*z = 5*z + 115. What is the third derivative of 36*i**2 - i**2 + z*i**3 - 24*i**3 wrt i?\n' | b'-6\n' | deepmind/math_dataset |
b'Let n(q) be the second derivative of -q**7/840 - q**4/4 - q**3/6 - 4*q. Let u(d) be the second derivative of n(d). Find the first derivative of u(h) wrt h.\n' | b'-3*h**2\n' | b'Let n(q) be the second derivative of -q**7/840 - q**4/4 - q**3/6 - 4*q. Let u(d) be the second derivative of n(d). Find the first derivative of u(h) wrt h.\n' | b'-3*h**2\n' | deepmind/math_dataset |
b'Suppose -l + 2*l + 20 = 0. Let v = 19 + l. Let u be (-4 - -7 - 3)/v. Solve -5 = -4*k + z, 0 = 3*k + 3*z - u*z for k.\n' | b'1\n' | b'Suppose -l + 2*l + 20 = 0. Let v = 19 + l. Let u be (-4 - -7 - 3)/v. Solve -5 = -4*k + z, 0 = 3*k + 3*z - u*z for k.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -17*b + 47 = -21. Let f(i) = 5*i**2 + 20*i - 32. Let r(s) = -4*s**2 - 19*s + 33. Let j(x) = b*r(x) + 3*f(x). Differentiate j(m) with respect to m.\n' | b'-2*m - 16\n' | b'Suppose -17*b + 47 = -21. Let f(i) = 5*i**2 + 20*i - 32. Let r(s) = -4*s**2 - 19*s + 33. Let j(x) = b*r(x) + 3*f(x). Differentiate j(m) with respect to m.\n' | b'-2*m - 16\n' | deepmind/math_dataset |
b'Let g(t) = -t**3 + 3. Let z = -1 - 3. Let l = -6 - z. Let i(u) = -u**3 + 3. Let j(h) = l*g(h) + 3*i(h). What is the first derivative of j(y) wrt y?\n' | b'-3*y**2\n' | b'Let g(t) = -t**3 + 3. Let z = -1 - 3. Let l = -6 - z. Let i(u) = -u**3 + 3. Let j(h) = l*g(h) + 3*i(h). What is the first derivative of j(y) wrt y?\n' | b'-3*y**2\n' | deepmind/math_dataset |
b'What is prob of sequence mxy when three letters picked without replacement from fymyyyxyzxym?\n' | b'1/55\n' | b'What is prob of sequence mxy when three letters picked without replacement from fymyyyxyzxym?\n' | b'1/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kkkkhhkkkkkkkkkh. Give prob of sequence hkh.\n' | b'13/560\n' | b'Three letters picked without replacement from kkkkhhkkkkkkkkkh. Give prob of sequence hkh.\n' | b'13/560\n' | deepmind/math_dataset |
b'Let j = -11 - -14. Let y(i) = i. Let w be y(0). Let f be (-5)/(-7) - (-8)/28. Solve 4*n + j*s + 5 = w, -s + f = -0 for n.\n' | b'-2\n' | b'Let j = -11 - -14. Let y(i) = i. Let w be y(0). Let f be (-5)/(-7) - (-8)/28. Solve 4*n + j*s + 5 = w, -s + f = -0 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {x: 2, w: 9}.\n' | b'36/55\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {x: 2, w: 9}.\n' | b'36/55\n' | deepmind/math_dataset |
b'Let a = -57 + 60. Solve 0*g - 3 = a*g - 3*u, -3*g + u = -7 for g.\n' | b'4\n' | b'Let a = -57 + 60. Solve 0*g - 3 = a*g - 3*u, -3*g + u = -7 for g.\n' | b'4\n' | deepmind/math_dataset |
b'Let q = 36 - 25. Let o(m) = -m + 7. Let f be o(q). Let r be -2 - ((0 - f) + -2). Let c(l) = l**3 + 5*l**2 + 4*l + 1. What is c(r)?\n' | b'1\n' | b'Let q = 36 - 25. Let o(m) = -m + 7. Let f be o(q). Let r be -2 - ((0 - f) + -2). Let c(l) = l**3 + 5*l**2 + 4*l + 1. What is c(r)?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (k*k**(-4)*k/((k**7*k)/k)*(k**(2/7))**(27/5))/((k*k**(1/21))/(k*k*k/((k*k*k**14/k)/k)))**36 assuming k is positive.\n' | b'k**(-15441/35)\n' | b'Simplify (k*k**(-4)*k/((k**7*k)/k)*(k**(2/7))**(27/5))/((k*k**(1/21))/(k*k*k/((k*k*k**14/k)/k)))**36 assuming k is positive.\n' | b'k**(-15441/35)\n' | deepmind/math_dataset |
b'Let c = 23382 - 23388. Let h(n) = -5*n - 62. Calculate h(c).\n' | b'-32\n' | b'Let c = 23382 - 23388. Let h(n) = -5*n - 62. Calculate h(c).\n' | b'-32\n' | deepmind/math_dataset |
b'Let u(k) = 7*k**2 + k**3 + 58*k - 12 - 59*k + 2. Give u(-7).\n' | b'-3\n' | b'Let u(k) = 7*k**2 + k**3 + 58*k - 12 - 59*k + 2. Give u(-7).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (m*m**0)**(-3/5) assuming m is positive.\n' | b'm**(-3/5)\n' | b'Simplify (m*m**0)**(-3/5) assuming m is positive.\n' | b'm**(-3/5)\n' | deepmind/math_dataset |
b'Suppose 4*y + 3*r = 28, -y - 2*y + r + 8 = 0. Suppose 4*j - c + 5*c = -4, -y*c - 28 = -4*j. Find the second derivative of -57*b**3 - 3*b**4 + b + 57*b**j wrt b.\n' | b'-36*b**2\n' | b'Suppose 4*y + 3*r = 28, -y - 2*y + r + 8 = 0. Suppose 4*j - c + 5*c = -4, -y*c - 28 = -4*j. Find the second derivative of -57*b**3 - 3*b**4 + b + 57*b**j wrt b.\n' | b'-36*b**2\n' | deepmind/math_dataset |
b'Let u(s) be the first derivative of 0*s**3 - 1 + 3/4*s**4 - 3*s + 0*s**2. What is the first derivative of u(w) wrt w?\n' | b'9*w**2\n' | b'Let u(s) be the first derivative of 0*s**3 - 1 + 3/4*s**4 - 3*s + 0*s**2. What is the first derivative of u(w) wrt w?\n' | b'9*w**2\n' | deepmind/math_dataset |
b'Simplify (a/a**(-5))/a**(-3/4)*a**(-2/11)/(a/(a**(1/7)*a*a)) assuming a is positive.\n' | b'a**(2375/308)\n' | b'Simplify (a/a**(-5))/a**(-3/4)*a**(-2/11)/(a/(a**(1/7)*a*a)) assuming a is positive.\n' | b'a**(2375/308)\n' | deepmind/math_dataset |
b'What is prob of sequence pxm when three letters picked without replacement from yyppuxxexeumup?\n' | b'3/728\n' | b'What is prob of sequence pxm when three letters picked without replacement from yyppuxxexeumup?\n' | b'3/728\n' | deepmind/math_dataset |
b'Let t be (-2)/(-7) - (-99)/21. Suppose 5*j = 5*o - 25, t*o - 27 + 3 = 4*j. What is the third derivative of -2*i**3 - i**6 + 6*i**3 - 5*i**2 - o*i**3 wrt i?\n' | b'-120*i**3\n' | b'Let t be (-2)/(-7) - (-99)/21. Suppose 5*j = 5*o - 25, t*o - 27 + 3 = 4*j. What is the third derivative of -2*i**3 - i**6 + 6*i**3 - 5*i**2 - o*i**3 wrt i?\n' | b'-120*i**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 t when two letters picked without replacement from lvztwth?\n' | b'2/21\n' | b'What is prob of picking 1 z and 1 t when two letters picked without replacement from lvztwth?\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose g + 6 = -2*o + 9, -2 = -3*o - 2*g. Solve -3*b + 16 = 4*t, -t + 4 = -8*b + o*b for t.\n' | b'4\n' | b'Suppose g + 6 = -2*o + 9, -2 = -3*o - 2*g. Solve -3*b + 16 = 4*t, -t + 4 = -8*b + o*b for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let l(v) = -v**3. Let h be l(0). Let c(z) be the third derivative of h*z + 1/3*z**3 - 2*z**2 + 1/12*z**4 + 0. What is c(2)?\n' | b'6\n' | b'Let l(v) = -v**3. Let h be l(0). Let c(z) be the third derivative of h*z + 1/3*z**3 - 2*z**2 + 1/12*z**4 + 0. What is c(2)?\n' | b'6\n' | deepmind/math_dataset |
b'Let o(m) be the second derivative of -265*m**3/2 - 241*m**2 - 151*m + 1. What is the first derivative of o(b) wrt b?\n' | b'-795\n' | b'Let o(m) be the second derivative of -265*m**3/2 - 241*m**2 - 151*m + 1. What is the first derivative of o(b) wrt b?\n' | b'-795\n' | deepmind/math_dataset |
b'Let c = -8 + 4. Let l(d) be the first derivative of 3*d**2/2 + 2*d - 1464. Determine l(c).\n' | b'-10\n' | b'Let c = -8 + 4. Let l(d) be the first derivative of 3*d**2/2 + 2*d - 1464. Determine l(c).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify ((x*x*x**(-2))/x)**(-3/28)*x**15/(x*x**(-8)) assuming x is positive.\n' | b'x**(619/28)\n' | b'Simplify ((x*x*x**(-2))/x)**(-3/28)*x**15/(x*x**(-8)) assuming x is positive.\n' | b'x**(619/28)\n' | deepmind/math_dataset |
b'Suppose 5*y + 5*k - 40 = 0, 8*k - 4*k + 8 = 0. Let c(s) = -3*s - 10 + y. Suppose 2*f + 27 - 25 = 0. What is c(f)?\n' | b'3\n' | b'Suppose 5*y + 5*k - 40 = 0, 8*k - 4*k + 8 = 0. Let c(s) = -3*s - 10 + y. Suppose 2*f + 27 - 25 = 0. What is c(f)?\n' | b'3\n' | deepmind/math_dataset |
b'Let x = 18 - 48. Let z be x/(-105) + 341/7. Let q = -36 + z. Solve 2*t - q = 3*h - 2, -h = 3*t + 11 for h.\n' | b'-5\n' | b'Let x = 18 - 48. Let z be x/(-105) + 341/7. Let q = -36 + z. Solve 2*t - q = 3*h - 2, -h = 3*t + 11 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((c*(c**(-11)*c)/c)/c*c**5)**(1/20))**(-8/3) assuming c is positive.\n' | b'c**(4/5)\n' | b'Simplify (((c*(c**(-11)*c)/c)/c*c**5)**(1/20))**(-8/3) assuming c is positive.\n' | b'c**(4/5)\n' | deepmind/math_dataset |
b'Suppose -j + 2 = 2*b, 3*j - 44 = -b - 38. Solve 2 = -l + 2*m + 1, -j*l = -5*m + 2 for l.\n' | b'-1\n' | b'Suppose -j + 2 = 2*b, 3*j - 44 = -b - 38. Solve 2 = -l + 2*m + 1, -j*l = -5*m + 2 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let r(t) = 26*t + 2. Let d(i) = -580*i - 169. Let f(c) = -2*d(c) - 6*r(c). Find the first derivative of f(p) wrt p.\n' | b'1004\n' | b'Let r(t) = 26*t + 2. Let d(i) = -580*i - 169. Let f(c) = -2*d(c) - 6*r(c). Find the first derivative of f(p) wrt p.\n' | b'1004\n' | deepmind/math_dataset |
b'Let n be 4/(-7) - (41 + (-5423)/119). Let b = 6 - 10. Let i = -3 - b. Solve x = t - i, -5*x - 21 + n = t for t.\n' | b'-2\n' | b'Let n be 4/(-7) - (41 + (-5423)/119). Let b = 6 - 10. Let i = -3 - b. Solve x = t - i, -5*x - 21 + n = t for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((a**(2/5)*a)**(-50)*(a/(a*a**(-2/11)))**25)**(-14) assuming a is positive.\n' | b'a**(10080/11)\n' | b'Simplify ((a**(2/5)*a)**(-50)*(a/(a*a**(-2/11)))**25)**(-14) assuming a is positive.\n' | b'a**(10080/11)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bdbbbbbdb.\n' | b'7/18\n' | b'Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bdbbbbbdb.\n' | b'7/18\n' | deepmind/math_dataset |
b'Let w(z) = -6*z + 6. Let m(c) = -c + 1. Let h(r) = 14*r - 14. Let s(d) = -h(d) - m(d). Let o(x) = -4*s(x) + 9*w(x). Differentiate o(k) wrt k.\n' | b'-2\n' | b'Let w(z) = -6*z + 6. Let m(c) = -c + 1. Let h(r) = 14*r - 14. Let s(d) = -h(d) - m(d). Let o(x) = -4*s(x) + 9*w(x). Differentiate o(k) wrt k.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, n: 11}. What is prob of picking 1 b and 2 n?\n' | b'1/4\n' | b'Three letters picked without replacement from {b: 1, n: 11}. What is prob of picking 1 b and 2 n?\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 e, 1 z, and 1 t when four letters picked without replacement from {z: 4, m: 5, e: 5, n: 2, t: 3, q: 1}?\n' | b'20/323\n' | b'What is prob of picking 1 m, 1 e, 1 z, and 1 t when four letters picked without replacement from {z: 4, m: 5, e: 5, n: 2, t: 3, q: 1}?\n' | b'20/323\n' | deepmind/math_dataset |
b'Let q = -436 + 441. Solve 2*o + o + 5 = -k, -3*o + q*k + 7 = 0 for o.\n' | b'-1\n' | b'Let q = -436 + 441. Solve 2*o + o + 5 = -k, -3*o + q*k + 7 = 0 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -13*l + 18*l = 60. Suppose 3*w + o + l = 5*w, o = 4*w - 22. Solve -2*r - 5*h = 7, -5*r + 3*h + 3 - w = 0 for r.\n' | b'-1\n' | b'Suppose -13*l + 18*l = 60. Suppose 3*w + o + l = 5*w, o = 4*w - 22. Solve -2*r - 5*h = 7, -5*r + 3*h + 3 - w = 0 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (v**(-2/5)/v)**(-47)/(v**(2/3))**18 assuming v is positive.\n' | b'v**(269/5)\n' | b'Simplify (v**(-2/5)/v)**(-47)/(v**(2/3))**18 assuming v is positive.\n' | b'v**(269/5)\n' | deepmind/math_dataset |
b'Simplify (n/(n*n**(6/5))*n/n**(10/9))**(-13/5) assuming n is positive.\n' | b'n**(767/225)\n' | b'Simplify (n/(n*n**(6/5))*n/n**(10/9))**(-13/5) assuming n is positive.\n' | b'n**(767/225)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gypmygyyyygj. Give prob of picking 1 m, 1 y, and 1 j.\n' | b'3/110\n' | b'Three letters picked without replacement from gypmygyyyygj. Give prob of picking 1 m, 1 y, and 1 j.\n' | b'3/110\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hcchchwwh. Give prob of picking 4 h.\n' | b'1/126\n' | b'Four letters picked without replacement from hcchchwwh. Give prob of picking 4 h.\n' | b'1/126\n' | deepmind/math_dataset |
b'Suppose -2*u = 0, -4*p + 3*u + u - 36 = 0. Let c(g) = -25*g**3 - 27*g**2 - 14*g. Let i(b) = 9*b**3 + 9*b**2 + 5*b. Let q(n) = -4*c(n) - 11*i(n). Determine q(p).\n' | b'-9\n' | b'Suppose -2*u = 0, -4*p + 3*u + u - 36 = 0. Let c(g) = -25*g**3 - 27*g**2 - 14*g. Let i(b) = 9*b**3 + 9*b**2 + 5*b. Let q(n) = -4*c(n) - 11*i(n). Determine q(p).\n' | b'-9\n' | deepmind/math_dataset |
b'Let z(d) = -29*d + 246. Let v be z(25). Let h = v + 478. Let w(n) = -4*n**3 - n**2 - n. Calculate w(h).\n' | b'4\n' | b'Let z(d) = -29*d + 246. Let v be z(25). Let h = v + 478. Let w(n) = -4*n**3 - n**2 - n. Calculate w(h).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t, 1 n, and 1 w when four letters picked without replacement from twywtnttnwwwwntwtw.\n' | b'2/17\n' | b'Calculate prob of picking 2 t, 1 n, and 1 w when four letters picked without replacement from twywtnttnwwwwntwtw.\n' | b'2/17\n' | deepmind/math_dataset |
b'Let f be (1 - -2 - 4)*-11. Let m = -6 + f. Let w be m + 1/(-1) + 1. Solve -12 = -w*q + j, 0*q + q = -j for q.\n' | b'2\n' | b'Let f be (1 - -2 - 4)*-11. Let m = -6 + f. Let w be m + 1/(-1) + 1. Solve -12 = -w*q + j, 0*q + q = -j for q.\n' | b'2\n' | deepmind/math_dataset |
b'Let s be (-1 + 2)/(1/5). Let u(i) = i**3 - 5*i**2 - i + 7. Let j be u(s). Let g be (j/4)/(5/30). Solve -g*l - q - 5 = q, 0 = 5*l - 4*q - 21 for l.\n' | b'1\n' | b'Let s be (-1 + 2)/(1/5). Let u(i) = i**3 - 5*i**2 - i + 7. Let j be u(s). Let g be (j/4)/(5/30). Solve -g*l - q - 5 = q, 0 = 5*l - 4*q - 21 for l.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence elg when three letters picked without replacement from {e: 3, g: 1, l: 2, o: 4, r: 2}.\n' | b'1/220\n' | b'Calculate prob of sequence elg when three letters picked without replacement from {e: 3, g: 1, l: 2, o: 4, r: 2}.\n' | b'1/220\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zpsgsgseszppezr. What is prob of sequence gse?\n' | b'8/1365\n' | b'Three letters picked without replacement from zpsgsgseszppezr. What is prob of sequence gse?\n' | b'8/1365\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrrr. Give prob of sequence rr.\n' | b'1\n' | b'Two letters picked without replacement from rrrr. Give prob of sequence rr.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((t/((t**(2/11)*t*t)/t*t)*t)/((((t**(-1)*t)/t)/t)/t))**39 assuming t is positive.\n' | b't**(1209/11)\n' | b'Simplify ((t/((t**(2/11)*t*t)/t*t)*t)/((((t**(-1)*t)/t)/t)/t))**39 assuming t is positive.\n' | b't**(1209/11)\n' | deepmind/math_dataset |
b'Suppose -15*k = -10*k + 30. Let t be 17/k*(-13 + 7). Let j be (53 - 42) + -2 + 0 + -1. Solve -4*a = -i - t, -a - 3 = -j for i.\n' | b'3\n' | b'Suppose -15*k = -10*k + 30. Let t be 17/k*(-13 + 7). Let j be (53 - 42) + -2 + 0 + -1. Solve -4*a = -i - t, -a - 3 = -j for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 i when two letters picked without replacement from {i: 1, c: 3, n: 11, w: 2, x: 1, y: 1}?\n' | b'11/171\n' | b'What is prob of picking 1 n and 1 i when two letters picked without replacement from {i: 1, c: 3, n: 11, w: 2, x: 1, y: 1}?\n' | b'11/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nqyfbfwfyqq. Give prob of sequence wyb.\n' | b'1/495\n' | b'Three letters picked without replacement from nqyfbfwfyqq. Give prob of sequence wyb.\n' | b'1/495\n' | deepmind/math_dataset |
b'Let t be 6 + -5 - (0 - 0). Let q be 1/t + 3 + 0. Find the second derivative of r**q + 3*r**4 - r**4 + r - 2*r wrt r.\n' | b'36*r**2\n' | b'Let t be 6 + -5 - (0 - 0). Let q be 1/t + 3 + 0. Find the second derivative of r**q + 3*r**4 - r**4 + r - 2*r wrt r.\n' | b'36*r**2\n' | deepmind/math_dataset |
b'Let v(s) = -2*s - 19. Let f(d) = d + 9. Let q(n) = 13*f(n) + 6*v(n). What is q(-6)?\n' | b'-3\n' | b'Let v(s) = -2*s - 19. Let f(d) = d + 9. Let q(n) = 13*f(n) + 6*v(n). What is q(-6)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let i(r) = -5*r**3 - 4*r**2 - 3. Let s(p) = -p**3 + 0*p**3 + 25*p - 25*p - p**2. Let t(o) = -i(o) + 4*s(o). Find the first derivative of t(w) wrt w.\n' | b'3*w**2\n' | b'Let i(r) = -5*r**3 - 4*r**2 - 3. Let s(p) = -p**3 + 0*p**3 + 25*p - 25*p - p**2. Let t(o) = -i(o) + 4*s(o). Find the first derivative of t(w) wrt w.\n' | b'3*w**2\n' | deepmind/math_dataset |
b'What is prob of sequence kp when two letters picked without replacement from {m: 1, r: 1, p: 3, k: 1, j: 1}?\n' | b'1/14\n' | b'What is prob of sequence kp when two letters picked without replacement from {m: 1, r: 1, p: 3, k: 1, j: 1}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (o/(o/o**(2/3)))/(o*((o**(-2/13)/o)/o)/o)*(o/(o**(3/4)*o))/o**8*o**(6/11)/(o*o**1)*(o**(-1/4)/o)/(o/(o**(5/2)*o)) assuming o is positive.\n' | b'o**(-5263/858)\n' | b'Simplify (o/(o/o**(2/3)))/(o*((o**(-2/13)/o)/o)/o)*(o/(o**(3/4)*o))/o**8*o**(6/11)/(o*o**1)*(o**(-1/4)/o)/(o/(o**(5/2)*o)) assuming o is positive.\n' | b'o**(-5263/858)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aasjaaaajaoanndaaa. Give prob of picking 1 n and 1 s.\n' | b'2/153\n' | b'Two letters picked without replacement from aasjaaaajaoanndaaa. Give prob of picking 1 n and 1 s.\n' | b'2/153\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxrz when four letters picked without replacement from rhkxzxxzzrhzxh.\n' | b'4/1001\n' | b'Calculate prob of sequence xxrz when four letters picked without replacement from rhkxzxxzzrhzxh.\n' | b'4/1001\n' | deepmind/math_dataset |
b'Let h(o) = -3*o**3 + 2*o - 1. Let s be h(1). Let n = s - -2. Differentiate 3*a + n - 3 - a with respect to a.\n' | b'2\n' | b'Let h(o) = -3*o**3 + 2*o - 1. Let s be h(1). Let n = s - -2. Differentiate 3*a + n - 3 - a with respect to a.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence cjyi when four letters picked without replacement from iiijimicimmjyc.\n' | b'1/1001\n' | b'Calculate prob of sequence cjyi when four letters picked without replacement from iiijimicimmjyc.\n' | b'1/1001\n' | deepmind/math_dataset |
b'Find the second derivative of -8 + 3*j**4 - 5*j + 8 wrt j.\n' | b'36*j**2\n' | b'Find the second derivative of -8 + 3*j**4 - 5*j + 8 wrt j.\n' | b'36*j**2\n' | deepmind/math_dataset |
b'Let c(t) be the third derivative of 3*t**8/7 - 281*t**4/12 + 74*t**2. What is the second derivative of c(u) wrt u?\n' | b'2880*u**3\n' | b'Let c(t) be the third derivative of 3*t**8/7 - 281*t**4/12 + 74*t**2. What is the second derivative of c(u) wrt u?\n' | b'2880*u**3\n' | deepmind/math_dataset |
b'Let o(u) = -2*u**3 + 16*u**2 - 153. Let h(r) = -r**3 + 17*r**2 - 153. Let y(b) = 2*h(b) - 3*o(b). Find the first derivative of y(p) wrt p.\n' | b'12*p**2 - 28*p\n' | b'Let o(u) = -2*u**3 + 16*u**2 - 153. Let h(r) = -r**3 + 17*r**2 - 153. Let y(b) = 2*h(b) - 3*o(b). Find the first derivative of y(p) wrt p.\n' | b'12*p**2 - 28*p\n' | deepmind/math_dataset |
b'Let n be 10/(-20) - (-9)/2. Suppose 5 = -n*c + 21. Let w(b) be the first derivative of -3*b**2/2 + 4*b - 1562. Give w(c).\n' | b'-8\n' | b'Let n be 10/(-20) - (-9)/2. Suppose 5 = -n*c + 21. Let w(b) be the first derivative of -3*b**2/2 + 4*b - 1562. Give w(c).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence ep when two letters picked without replacement from eapapcppcpcacapcap.\n' | b'7/306\n' | b'Calculate prob of sequence ep when two letters picked without replacement from eapapcppcpcacapcap.\n' | b'7/306\n' | deepmind/math_dataset |
b'Suppose -5*z = 5*k + 30, -3*z + 18*k = 16*k + 8. Let l be (-2 + 48/(-36))*6/z. Solve -2*g = -2*m, -g + 3*m = -l*g + 7 for g.\n' | b'1\n' | b'Suppose -5*z = 5*k + 30, -3*z + 18*k = 16*k + 8. Let l be (-2 + 48/(-36))*6/z. Solve -2*g = -2*m, -g + 3*m = -l*g + 7 for g.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 z, 1 r, and 1 h when four letters picked without replacement from {h: 6, z: 2, y: 1, p: 1, r: 5}?\n' | b'2/91\n' | b'What is prob of picking 2 z, 1 r, and 1 h when four letters picked without replacement from {h: 6, z: 2, y: 1, p: 1, r: 5}?\n' | b'2/91\n' | deepmind/math_dataset |
b'Let b(q) = 26 + 6*q**2 + q**2 - 8*q**2 + 12. Let y be b(-6). Solve -2*f + x = 9, 0 = -y*f - 0*x + 3*x - 11 for f.\n' | b'-4\n' | b'Let b(q) = 26 + 6*q**2 + q**2 - 8*q**2 + 12. Let y be b(-6). Solve -2*f + x = 9, 0 = -y*f - 0*x + 3*x - 11 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let n(l) = 20*l - 6*l - 13*l - 5 - 6. Suppose -s = -2*s + 3, s = -b + 7. Suppose -2*q + 14 = v + 2*q, -14 = -b*v + 5*q. What is n(v)?\n' | b'-5\n' | b'Let n(l) = 20*l - 6*l - 13*l - 5 - 6. Suppose -s = -2*s + 3, s = -b + 7. Suppose -2*q + 14 = v + 2*q, -14 = -b*v + 5*q. What is n(v)?\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 5, j: 2, g: 3, m: 2}. Give prob of sequence jguj.\n' | b'1/396\n' | b'Four letters picked without replacement from {u: 5, j: 2, g: 3, m: 2}. Give prob of sequence jguj.\n' | b'1/396\n' | deepmind/math_dataset |
b'Suppose -2 = 32*c - 33*c. Let q be (-128)/(-5) - 1*c/(-5). Let n(s) = s**2 - 4*s - 9. Let i be n(7). Solve -o + q = -5*w, 3*w - 1 + i = -4*o for w.\n' | b'-5\n' | b'Suppose -2 = 32*c - 33*c. Let q be (-128)/(-5) - 1*c/(-5). Let n(s) = s**2 - 4*s - 9. Let i be n(7). Solve -o + q = -5*w, 3*w - 1 + i = -4*o for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let a(l) = -84*l + 120. Let u be a(-5). Let i = -538 + u. Solve -4 = -2*m + i*h, 2*m + 4*h + 22 = -m for m.\n' | b'-2\n' | b'Let a(l) = -84*l + 120. Let u be a(-5). Let i = -538 + u. Solve -4 = -2*m + i*h, 2*m + 4*h + 22 = -m for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 3, c: 6, g: 1, r: 1, z: 2}. What is prob of picking 3 a and 1 r?\n' | b'1/715\n' | b'Four letters picked without replacement from {a: 3, c: 6, g: 1, r: 1, z: 2}. What is prob of picking 3 a and 1 r?\n' | b'1/715\n' | deepmind/math_dataset |
b'Let j = -1 - 1. Let o be (0 - -2)*(-1 - j). Solve -2*p + 0*p - 6 = -2*d, -3*d + o*p + 4 = 0 for d.\n' | b'-2\n' | b'Let j = -1 - 1. Let o be (0 - -2)*(-1 - j). Solve -2*p + 0*p - 6 = -2*d, -3*d + o*p + 4 = 0 for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let f(b) = -b + 8. Let i(w) = -3*w - 3. Let p(u) = 2*u + 3. Let l(k) = 3*i(k) + 4*p(k). Let j be l(-7). What is f(j)?\n' | b'-2\n' | b'Let f(b) = -b + 8. Let i(w) = -3*w - 3. Let p(u) = 2*u + 3. Let l(k) = 3*i(k) + 4*p(k). Let j be l(-7). What is f(j)?\n' | b'-2\n' | deepmind/math_dataset |
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