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'Suppose -2*w = -s - 3*s + 4, -5*w - 4*s + 4 = 0. Solve -5*h = w, -h - 4 = -0*c - 4*c for c.\n' | b'1\n' | b'Suppose -2*w = -s - 3*s + 4, -5*w - 4*s + 4 = 0. Solve -5*h = w, -h - 4 = -0*c - 4*c for c.\n' | b'1\n' | deepmind/math_dataset |
b'Let f(x) = x**3 + 3*x**2 - 7*x - 8. Let v be f(-4). Let r(n) be the second derivative of 3*n + 2*n**2 + 1/4*n**v + 0 + 0*n**3. Differentiate r(z) wrt z.\n' | b'6*z\n' | b'Let f(x) = x**3 + 3*x**2 - 7*x - 8. Let v be f(-4). Let r(n) be the second derivative of 3*n + 2*n**2 + 1/4*n**v + 0 + 0*n**3. Differentiate r(z) wrt z.\n' | b'6*z\n' | deepmind/math_dataset |
b'Two letters picked without replacement from brpakprkrppb. What is prob of sequence bp?\n' | b'2/33\n' | b'Two letters picked without replacement from brpakprkrppb. What is prob of sequence bp?\n' | b'2/33\n' | deepmind/math_dataset |
b'Simplify (((a*a*a**(-4/11)*a)/(a/a**(-2/11)*a))**(-41))**(-1/32) assuming a is positive.\n' | b'a**(205/352)\n' | b'Simplify (((a*a*a**(-4/11)*a)/(a/a**(-2/11)*a))**(-41))**(-1/32) assuming a is positive.\n' | b'a**(205/352)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 5, k: 1, a: 5, v: 2, t: 5}. What is prob of sequence yayt?\n' | b'25/3672\n' | b'Four letters picked without replacement from {y: 5, k: 1, a: 5, v: 2, t: 5}. What is prob of sequence yayt?\n' | b'25/3672\n' | deepmind/math_dataset |
b'Simplify ((m**(1/2)/m*m)/m**(1/4))**(2/15) assuming m is positive.\n' | b'm**(1/30)\n' | b'Simplify ((m**(1/2)/m*m)/m**(1/4))**(2/15) assuming m is positive.\n' | b'm**(1/30)\n' | deepmind/math_dataset |
b'What is the third derivative of 972*z - 814*z + z**2 + 1103*z + 186*z**3 wrt z?\n' | b'1116\n' | b'What is the third derivative of 972*z - 814*z + z**2 + 1103*z + 186*z**3 wrt z?\n' | b'1116\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u and 1 h when four letters picked without replacement from uuuuhppupupzapzap.\n' | b'1/119\n' | b'Calculate prob of picking 3 u and 1 h when four letters picked without replacement from uuuuhppupupzapzap.\n' | b'1/119\n' | deepmind/math_dataset |
b'Simplify s**4*s**(-10)*s**35/(s**(-34)*s*s) assuming s is positive.\n' | b's**61\n' | b'Simplify s**4*s**(-10)*s**35/(s**(-34)*s*s) assuming s is positive.\n' | b's**61\n' | deepmind/math_dataset |
b'Simplify (((t**(3/7)*t**9)/((t/(t**(-13)/t))/((t*t**(-5))/t)))**25)**46 assuming t is positive.\n' | b't**(-85100/7)\n' | b'Simplify (((t**(3/7)*t**9)/((t/(t**(-13)/t))/((t*t**(-5))/t)))**25)**46 assuming t is positive.\n' | b't**(-85100/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 2 p when three letters picked without replacement from {z: 2, p: 10}.\n' | b'9/22\n' | b'Calculate prob of picking 1 z and 2 p when three letters picked without replacement from {z: 2, p: 10}.\n' | b'9/22\n' | deepmind/math_dataset |
b'Simplify (i**(-1/8)*i*i*i*i/(i**(-5)/i)*i*i)**(4/9) assuming i is positive.\n' | b'i**(95/18)\n' | b'Simplify (i**(-1/8)*i*i*i*i/(i**(-5)/i)*i*i)**(4/9) assuming i is positive.\n' | b'i**(95/18)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 o when two letters picked without replacement from llgkglolllnlgongn.\n' | b'1/17\n' | b'Calculate prob of picking 1 g and 1 o when two letters picked without replacement from llgkglolllnlgongn.\n' | b'1/17\n' | deepmind/math_dataset |
b'What is prob of sequence zs when two letters picked without replacement from dzsnsszznnzssnzdn?\n' | b'25/272\n' | b'What is prob of sequence zs when two letters picked without replacement from dzsnsszznnzssnzdn?\n' | b'25/272\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbbbzbbbbzzzbbbbbb. Give prob of sequence zz.\n' | b'2/51\n' | b'Two letters picked without replacement from bbbbzbbbbzzzbbbbbb. Give prob of sequence zz.\n' | b'2/51\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 2 h when three letters picked without replacement from ppnphhpjnhr.\n' | b'2/55\n' | b'Calculate prob of picking 1 n and 2 h when three letters picked without replacement from ppnphhpjnhr.\n' | b'2/55\n' | deepmind/math_dataset |
b'Suppose -4*o = -42 - 46. Suppose 5*m = o - 2. Solve -9 = m*r + 5*p + 2, -r - 3*p = 8 for r.\n' | b'1\n' | b'Suppose -4*o = -42 - 46. Suppose 5*m = o - 2. Solve -9 = m*r + 5*p + 2, -r - 3*p = 8 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(h) be the third derivative of -h**4/4 - h**3/3 + h**2. Let p(j) = 1 + 5*j - 3*j + 3*j. Let l(w) = 2*d(w) + 3*p(w). Differentiate l(i) with respect to i.\n' | b'3\n' | b'Let d(h) be the third derivative of -h**4/4 - h**3/3 + h**2. Let p(j) = 1 + 5*j - 3*j + 3*j. Let l(w) = 2*d(w) + 3*p(w). Differentiate l(i) with respect to i.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (g**(-21))**(-50)/(g**(-36)/(g**(-3/14)*g)) assuming g is positive.\n' | b'g**(15215/14)\n' | b'Simplify (g**(-21))**(-50)/(g**(-36)/(g**(-3/14)*g)) assuming g is positive.\n' | b'g**(15215/14)\n' | deepmind/math_dataset |
b'What is prob of picking 2 a when two letters picked without replacement from saa?\n' | b'1/3\n' | b'What is prob of picking 2 a when two letters picked without replacement from saa?\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 j when three letters picked without replacement from juuujuujujuuuuujuuj.\n' | b'20/969\n' | b'Calculate prob of picking 3 j when three letters picked without replacement from juuujuujujuuuuujuuj.\n' | b'20/969\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 h when two letters picked without replacement from {h: 7, g: 5}?\n' | b'35/66\n' | b'What is prob of picking 1 g and 1 h when two letters picked without replacement from {h: 7, g: 5}?\n' | b'35/66\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aoiqaaaia. Give prob of sequence iiaa.\n' | b'5/378\n' | b'Four letters picked without replacement from aoiqaaaia. Give prob of sequence iiaa.\n' | b'5/378\n' | deepmind/math_dataset |
b'Let y(d) = -3*d**2 - 30*d - 15. Suppose 4*p - 3 = 3*i, 0 = 248*i - 243*i + 5*p + 75. Calculate y(i).\n' | b'12\n' | b'Let y(d) = -3*d**2 - 30*d - 15. Suppose 4*p - 3 = 3*i, 0 = 248*i - 243*i + 5*p + 75. Calculate y(i).\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of picking 4 z when four letters picked without replacement from zzzzzzz?\n' | b'1\n' | b'What is prob of picking 4 z when four letters picked without replacement from zzzzzzz?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (u/(u*u*u**35))/u**39 assuming u is positive.\n' | b'u**(-75)\n' | b'Simplify (u/(u*u*u**35))/u**39 assuming u is positive.\n' | b'u**(-75)\n' | deepmind/math_dataset |
b'Let l(d) be the third derivative of -d**6/60 + 221*d**5/20 - 1619*d**3/6 - 149*d**2 + 6. Differentiate l(v) wrt v.\n' | b'-6*v**2 + 1326*v\n' | b'Let l(d) be the third derivative of -d**6/60 + 221*d**5/20 - 1619*d**3/6 - 149*d**2 + 6. Differentiate l(v) wrt v.\n' | b'-6*v**2 + 1326*v\n' | deepmind/math_dataset |
b'Suppose -u + 3*s + 15 = -0, -u - 3*s = 9. Suppose -u - 7 = -10*x. Solve 5*p = -5*a + 25, 3*a + 0*a = 5*p - x for p.\n' | b'2\n' | b'Suppose -u + 3*s + 15 = -0, -u - 3*s = 9. Suppose -u - 7 = -10*x. Solve 5*p = -5*a + 25, 3*a + 0*a = 5*p - x for p.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, f: 10, p: 4, r: 2, c: 2}. What is prob of picking 2 p?\n' | b'2/57\n' | b'Two letters picked without replacement from {v: 1, f: 10, p: 4, r: 2, c: 2}. What is prob of picking 2 p?\n' | b'2/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 2, y: 1}. Give prob of picking 1 y and 1 l.\n' | b'2/3\n' | b'Two letters picked without replacement from {l: 2, y: 1}. Give prob of picking 1 y and 1 l.\n' | b'2/3\n' | deepmind/math_dataset |
b'What is prob of sequence ax when two letters picked without replacement from {a: 5, q: 1, x: 2, v: 1, h: 3, o: 1}?\n' | b'5/78\n' | b'What is prob of sequence ax when two letters picked without replacement from {a: 5, q: 1, x: 2, v: 1, h: 3, o: 1}?\n' | b'5/78\n' | deepmind/math_dataset |
b'Let a(y) = -11*y**2 - 2*y - 1. Let b(r) = r**2 + r + 1. Let o(u) = -a(u) - b(u). What is the second derivative of o(j) wrt j?\n' | b'20\n' | b'Let a(y) = -11*y**2 - 2*y - 1. Let b(r) = r**2 + r + 1. Let o(u) = -a(u) - b(u). What is the second derivative of o(j) wrt j?\n' | b'20\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vdddddtdddddgdgdd. What is prob of picking 2 g and 1 d?\n' | b'13/680\n' | b'Three letters picked without replacement from vdddddtdddddgdgdd. What is prob of picking 2 g and 1 d?\n' | b'13/680\n' | deepmind/math_dataset |
b'Let z(c) = -47904*c - c**2 - 2*c**2 + 11 + 47903*c + 5*c**3 - c**2. What is z(2)?\n' | b'33\n' | b'Let z(c) = -47904*c - c**2 - 2*c**2 + 11 + 47903*c + 5*c**3 - c**2. What is z(2)?\n' | b'33\n' | deepmind/math_dataset |
b'Simplify ((u**(-1/27)*u)/u)/u*(u**(-2/9)/u)/u*u*u**(-16)*u**(-33)*u assuming u is positive.\n' | b'u**(-1357/27)\n' | b'Simplify ((u**(-1/27)*u)/u)/u*(u**(-2/9)/u)/u*u*u**(-16)*u**(-33)*u assuming u is positive.\n' | b'u**(-1357/27)\n' | deepmind/math_dataset |
b'Simplify (k**(2/11)/k)/(k**0*k*k)*(k**(-2/21)/k)/(k/((k*k**(-1))/k)) assuming k is positive.\n' | b'k**(-1366/231)\n' | b'Simplify (k**(2/11)/k)/(k**0*k*k)*(k**(-2/21)/k)/(k/((k*k**(-1))/k)) assuming k is positive.\n' | b'k**(-1366/231)\n' | deepmind/math_dataset |
b'Let a(c) = c**3 - 6*c**2 - c - 1. Let n be (0/(-6))/(0 + 1). Suppose 3 + n = b, -b - 312 = -3*v. Let m = 111 - v. Determine a(m).\n' | b'-7\n' | b'Let a(c) = c**3 - 6*c**2 - c - 1. Let n be (0/(-6))/(0 + 1). Suppose 3 + n = b, -b - 312 = -3*v. Let m = 111 - v. Determine a(m).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -5*k - 5*n = -25, 0 = 3*k - 2*n - 0 + 5. Solve -4*r + b + 21 = 0, 8*b - k = -4*r + 5*b for r.\n' | b'4\n' | b'Suppose -5*k - 5*n = -25, 0 = 3*k - 2*n - 0 + 5. Solve -4*r + b + 21 = 0, 8*b - k = -4*r + 5*b for r.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 2, d: 3, l: 8, t: 2, y: 4}. What is prob of sequence dl?\n' | b'4/57\n' | b'Two letters picked without replacement from {a: 2, d: 3, l: 8, t: 2, y: 4}. What is prob of sequence dl?\n' | b'4/57\n' | deepmind/math_dataset |
b'Simplify ((s*s**0)**(-2)/(s**(-3/10)*s*s*(s/(s/((s/s**(-7))/s)*s))/s*s))**(-34) assuming s is positive.\n' | b's**(1649/5)\n' | b'Simplify ((s*s**0)**(-2)/(s**(-3/10)*s*s*(s/(s/((s/s**(-7))/s)*s))/s*s))**(-34) assuming s is positive.\n' | b's**(1649/5)\n' | deepmind/math_dataset |
b'Simplify ((s**(-7/2)*s)/s**(-5)*(s**(-9))**(1/12))**(-2/69) assuming s is positive.\n' | b's**(-7/138)\n' | b'Simplify ((s**(-7/2)*s)/s**(-5)*(s**(-9))**(1/12))**(-2/69) assuming s is positive.\n' | b's**(-7/138)\n' | deepmind/math_dataset |
b'Simplify (j*j**(-4/5)/j)/(j/((j*j**(-3/14))/j)) assuming j is positive.\n' | b'j**(-141/70)\n' | b'Simplify (j*j**(-4/5)/j)/(j/((j*j**(-3/14))/j)) assuming j is positive.\n' | b'j**(-141/70)\n' | deepmind/math_dataset |
b'Let f be 2/(-7) - (-4 + 33/7). Let c(d) = 9*d**3 - 18*d**2 - 18. Let t(r) = r**3 - r**2 - 1. Let s(x) = c(x) - 18*t(x). Calculate s(f).\n' | b'9\n' | b'Let f be 2/(-7) - (-4 + 33/7). Let c(d) = 9*d**3 - 18*d**2 - 18. Let t(r) = r**3 - r**2 - 1. Let s(x) = c(x) - 18*t(x). Calculate s(f).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 0 = 3*i + 2*j - 59, -i - 4*j + 34 = i. Let a(f) = 2*f - 34. Let y be a(-6). Let h = y + 48. Solve 0 = -4*v - k - h*k + i, -4*k + 3 = -3*v for v.\n' | b'3\n' | b'Suppose 0 = 3*i + 2*j - 59, -i - 4*j + 34 = i. Let a(f) = 2*f - 34. Let y be a(-6). Let h = y + 48. Solve 0 = -4*v - k - h*k + i, -4*k + 3 = -3*v for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(p) be the second derivative of 3*p**6/10 - 19*p**3/6 + 15*p. Find the second derivative of x(z) wrt z.\n' | b'108*z**2\n' | b'Let x(p) be the second derivative of 3*p**6/10 - 19*p**3/6 + 15*p. Find the second derivative of x(z) wrt z.\n' | b'108*z**2\n' | deepmind/math_dataset |
b'Let u(n) = -9 + 8*n + 1 + 4*n - n**2 + 24 - 4*n. Give u(-2).\n' | b'-4\n' | b'Let u(n) = -9 + 8*n + 1 + 4*n - n**2 + 24 - 4*n. Give u(-2).\n' | b'-4\n' | deepmind/math_dataset |
b'Let r be (88/(-16) + 5)*1/(-10). Let x(q) be the third derivative of 1/2*q**4 - r*q**5 + 0*q**3 + 0*q + 0 + 2*q**2. Find the second derivative of x(c) wrt c.\n' | b'-6\n' | b'Let r be (88/(-16) + 5)*1/(-10). Let x(q) be the third derivative of 1/2*q**4 - r*q**5 + 0*q**3 + 0*q + 0 + 2*q**2. Find the second derivative of x(c) wrt c.\n' | b'-6\n' | deepmind/math_dataset |
b'Let m = 4 - 2. Suppose -64 - 8 = -12*p. Suppose t = 5*s - 34, p = -m*s - 5*t - 2. Solve -4*j - 3*y = -s, 2*j - 4 = -y - 0*y for j.\n' | b'3\n' | b'Let m = 4 - 2. Suppose -64 - 8 = -12*p. Suppose t = 5*s - 34, p = -m*s - 5*t - 2. Solve -4*j - 3*y = -s, 2*j - 4 = -y - 0*y for j.\n' | b'3\n' | deepmind/math_dataset |
b'Let v(k) = -k**2 + 8*k - 9. Let u be v(6). Let d(m) be the third derivative of 5/6*m**u + 0*m + 0 + 2*m**2 - 1/60*m**5 - 1/8*m**4. What is d(-5)?\n' | b'-5\n' | b'Let v(k) = -k**2 + 8*k - 9. Let u be v(6). Let d(m) be the third derivative of 5/6*m**u + 0*m + 0 + 2*m**2 - 1/60*m**5 - 1/8*m**4. What is d(-5)?\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbo when three letters picked without replacement from {b: 4, o: 2}.\n' | b'1/5\n' | b'Calculate prob of sequence bbo when three letters picked without replacement from {b: 4, o: 2}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let x be ((-1)/(15/36))/((-3)/20). Suppose 3*s = -g + 17, -g + s = 3*s - x. Let c(i) = i - 7. Calculate c(g).\n' | b'7\n' | b'Let x be ((-1)/(15/36))/((-3)/20). Suppose 3*s = -g + 17, -g + s = 3*s - x. Let c(i) = i - 7. Calculate c(g).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (s*s**5*s**(-7))**(-42)/(((s*s**3)/(s**(-1)/s))/((s**0*s)/s)**(-36/11)) assuming s is positive.\n' | b's**36\n' | b'Simplify (s*s**5*s**(-7))**(-42)/(((s*s**3)/(s**(-1)/s))/((s**0*s)/s)**(-36/11)) assuming s is positive.\n' | b's**36\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 1, l: 1, m: 11, j: 4, g: 1, h: 2}. Give prob of picking 1 y, 2 m, and 1 h.\n' | b'22/969\n' | b'Four letters picked without replacement from {y: 1, l: 1, m: 11, j: 4, g: 1, h: 2}. Give prob of picking 1 y, 2 m, and 1 h.\n' | b'22/969\n' | deepmind/math_dataset |
b'Let a(x) = 5*x**3 - 324*x**2 + 257*x - 5. Let s be a(64). Solve -27 = 3*v + 3*w, s = v - w + 60 for v.\n' | b'-5\n' | b'Let a(x) = 5*x**3 - 324*x**2 + 257*x - 5. Let s be a(64). Solve -27 = 3*v + 3*w, s = v - w + 60 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Let m be ((-8)/(-10))/(6/30). What is the second derivative of -4*u - 5*u**4 - u + u + u**m wrt u?\n' | b'-48*u**2\n' | b'Let m be ((-8)/(-10))/(6/30). What is the second derivative of -4*u - 5*u**4 - u + u + u**m wrt u?\n' | b'-48*u**2\n' | deepmind/math_dataset |
b'What is prob of sequence fsp when three letters picked without replacement from xfpppssplffsxfsp?\n' | b'1/42\n' | b'What is prob of sequence fsp when three letters picked without replacement from xfpppssplffsxfsp?\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose 6 = 5*x - 2*x. Let o(c) = -3*c**3 - 9*c**x - 3*c + 4*c**3 - 11 + 11*c. Give o(8).\n' | b'-11\n' | b'Suppose 6 = 5*x - 2*x. Let o(c) = -3*c**3 - 9*c**x - 3*c + 4*c**3 - 11 + 11*c. Give o(8).\n' | b'-11\n' | deepmind/math_dataset |
b'Suppose -4*u + 12 = 2*s, -20*u + 25*u + 14*s = 15. Solve u*n + 29 = -9*a + 13*a, -n - 3 = 0 for a.\n' | b'5\n' | b'Suppose -4*u + 12 = 2*s, -20*u + 25*u + 14*s = 15. Solve u*n + 29 = -9*a + 13*a, -n - 3 = 0 for a.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (l*l**(-1)*l)**(7/8)*(l**1)**(-2/113)*(l**(-3)*l*l**(-2/9))**(-47) assuming l is positive.\n' | b'l**(856735/8136)\n' | b'Simplify (l*l**(-1)*l)**(7/8)*(l**1)**(-2/113)*(l**(-3)*l*l**(-2/9))**(-47) assuming l is positive.\n' | b'l**(856735/8136)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fttuqqvfvtvt. What is prob of picking 2 t and 2 f?\n' | b'2/165\n' | b'Four letters picked without replacement from fttuqqvfvtvt. What is prob of picking 2 t and 2 f?\n' | b'2/165\n' | deepmind/math_dataset |
b'Simplify ((i**2*i)**(-4))**(1/17)*(i**1)**(-16/9)*(i**(2/5))**(-30) assuming i is positive.\n' | b'i**(-2216/153)\n' | b'Simplify ((i**2*i)**(-4))**(1/17)*(i**1)**(-16/9)*(i**(2/5))**(-30) assuming i is positive.\n' | b'i**(-2216/153)\n' | deepmind/math_dataset |
b'Let h(v) = -737*v**2 + 7*v + 497. Let g(z) = 368*z**2 - 3*z - 247. Let o(k) = -7*g(k) - 3*h(k). Find the first derivative of o(i) wrt i.\n' | b'-730*i\n' | b'Let h(v) = -737*v**2 + 7*v + 497. Let g(z) = 368*z**2 - 3*z - 247. Let o(k) = -7*g(k) - 3*h(k). Find the first derivative of o(i) wrt i.\n' | b'-730*i\n' | deepmind/math_dataset |
b'Simplify ((x**3/(x**(-3/2)*x))/((x*x*x**(-12))/x*x*x**(-2/59)*x))**(-9) assuming x is positive.\n' | b'x**(-13311/118)\n' | b'Simplify ((x**3/(x**(-3/2)*x))/((x*x*x**(-12))/x*x*x**(-2/59)*x))**(-9) assuming x is positive.\n' | b'x**(-13311/118)\n' | deepmind/math_dataset |
b'Suppose 0 = -2*b + b - 3. Let i(m) = -m**3 + 3*m + 1. Let x be i(-2). Let r(n) = 0*n**3 - n**3 + 0*n**3 - n**2 + x*n. Give r(b).\n' | b'9\n' | b'Suppose 0 = -2*b + b - 3. Let i(m) = -m**3 + 3*m + 1. Let x be i(-2). Let r(n) = 0*n**3 - n**3 + 0*n**3 - n**2 + x*n. Give r(b).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 0 = -5*c, 4*x - 2*c - 2023 = -571. Let s = 367 - x. Solve -2*l + 5*l = -s*i - 8, i + 2 = 3*l for i.\n' | b'-2\n' | b'Suppose 0 = -5*c, 4*x - 2*c - 2023 = -571. Let s = 367 - x. Solve -2*l + 5*l = -s*i - 8, i + 2 = 3*l for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 3*i - i = 4. Let n(y) be the first derivative of 0*y**5 - i - 1/3*y**6 + 0*y**2 + 2/3*y**3 + 0*y**4 + 0*y. What is the third derivative of n(o) wrt o?\n' | b'-120*o**2\n' | b'Suppose 3*i - i = 4. Let n(y) be the first derivative of 0*y**5 - i - 1/3*y**6 + 0*y**2 + 2/3*y**3 + 0*y**4 + 0*y. What is the third derivative of n(o) wrt o?\n' | b'-120*o**2\n' | deepmind/math_dataset |
b'Simplify (((k**(-4/3)/k)/(k*k*k**6))**30)**(-25) assuming k is positive.\n' | b'k**7750\n' | b'Simplify (((k**(-4/3)/k)/(k*k*k**6))**30)**(-25) assuming k is positive.\n' | b'k**7750\n' | deepmind/math_dataset |
b'What is prob of sequence sdss when four letters picked without replacement from {s: 3, d: 8}?\n' | b'1/165\n' | b'What is prob of sequence sdss when four letters picked without replacement from {s: 3, d: 8}?\n' | b'1/165\n' | deepmind/math_dataset |
b'Suppose 2*p + 2*c - 11 = 3*c, 24 = 5*p + c. Suppose u + 3*q = 9, -3 = -2*u - p*q + 20. Solve 0 = 3*g - 3*n - u, -12 = -g + 2*n for g.\n' | b'4\n' | b'Suppose 2*p + 2*c - 11 = 3*c, 24 = 5*p + c. Suppose u + 3*q = 9, -3 = -2*u - p*q + 20. Solve 0 = 3*g - 3*n - u, -12 = -g + 2*n for g.\n' | b'4\n' | deepmind/math_dataset |
b'Let j = 14 + -10. Suppose -3*g + 5 = -4. Solve -j*s = -s + g, s = -k for k.\n' | b'1\n' | b'Let j = 14 + -10. Suppose -3*g + 5 = -4. Solve -j*s = -s + g, s = -k for k.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -2*c + 0*c - 5*w + 260 = 0, 372 = 3*c + 3*w. Suppose -3*d - 3*d = -c. Solve 5*h = d, -f - 7 - 4 = -4*h for f.\n' | b'5\n' | b'Suppose -2*c + 0*c - 5*w + 260 = 0, 372 = 3*c + 3*w. Suppose -3*d - 3*d = -c. Solve 5*h = d, -f - 7 - 4 = -4*h for f.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = -4*i + 3*i - 3*y - 9, -3*i + 5 = y. Suppose -i*s - 16 + 4 = 0, 3*v - 2*s - 14 = 0. Solve 0 = -5*g - v*d + 5*d - 11, g - 3*d + 7 = 0 for g.\n' | b'-1\n' | b'Suppose 0 = -4*i + 3*i - 3*y - 9, -3*i + 5 = y. Suppose -i*s - 16 + 4 = 0, 3*v - 2*s - 14 = 0. Solve 0 = -5*g - v*d + 5*d - 11, g - 3*d + 7 = 0 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 8, q: 3, l: 1, u: 3, m: 2, h: 1}. What is prob of picking 1 l, 1 h, and 1 q?\n' | b'1/272\n' | b'Three letters picked without replacement from {i: 8, q: 3, l: 1, u: 3, m: 2, h: 1}. What is prob of picking 1 l, 1 h, and 1 q?\n' | b'1/272\n' | deepmind/math_dataset |
b'What is prob of picking 2 m when two letters picked without replacement from mmhmmmmmmmh?\n' | b'36/55\n' | b'What is prob of picking 2 m when two letters picked without replacement from mmhmmmmmmmh?\n' | b'36/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrlvrvlr. Give prob of sequence vv.\n' | b'1/28\n' | b'Two letters picked without replacement from rrlvrvlr. Give prob of sequence vv.\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence bh when two letters picked without replacement from {b: 9, h: 9}.\n' | b'9/34\n' | b'Calculate prob of sequence bh when two letters picked without replacement from {b: 9, h: 9}.\n' | b'9/34\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 4, z: 15}. What is prob of sequence iiz?\n' | b'10/323\n' | b'Three letters picked without replacement from {i: 4, z: 15}. What is prob of sequence iiz?\n' | b'10/323\n' | deepmind/math_dataset |
b'Suppose 2*w - 10 = -2*p, -3*p + 1 = -2*p. Solve 2*s - 4*r - r + 4 = 0, w*r = -2*s + 14 for s.\n' | b'3\n' | b'Suppose 2*w - 10 = -2*p, -3*p + 1 = -2*p. Solve 2*s - 4*r - r + 4 = 0, w*r = -2*s + 14 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 3, z: 5, r: 1, i: 11}. Give prob of sequence zu.\n' | b'3/76\n' | b'Two letters picked without replacement from {u: 3, z: 5, r: 1, i: 11}. Give prob of sequence zu.\n' | b'3/76\n' | deepmind/math_dataset |
b'Let m(x) be the third derivative of -4*x**4/3 + 2*x**3/3 - x**2 + 23*x - 12. What is m(1)?\n' | b'-28\n' | b'Let m(x) be the third derivative of -4*x**4/3 + 2*x**3/3 - x**2 + 23*x - 12. What is m(1)?\n' | b'-28\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 t when three letters picked without replacement from lbllbtlbtttltb.\n' | b'5/182\n' | b'Calculate prob of picking 3 t when three letters picked without replacement from lbllbtlbtttltb.\n' | b'5/182\n' | deepmind/math_dataset |
b'Let x be 288/(-240)*(-10)/6. Let f = -36 - -41. Solve f = -3*i + 4*i + x*h, -3*i - 40 = -5*h for i.\n' | b'-5\n' | b'Let x be 288/(-240)*(-10)/6. Let f = -36 - -41. Solve f = -3*i + 4*i + x*h, -3*i - 40 = -5*h for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Let j = 5 + -3. Find the second derivative of 4*p + p - p - j*p + 2*p**2 wrt p.\n' | b'4\n' | b'Let j = 5 + -3. Find the second derivative of 4*p + p - p - j*p + 2*p**2 wrt p.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jfjffjjffjffjjjffj. What is prob of sequence jfj?\n' | b'9/68\n' | b'Three letters picked without replacement from jfjffjjffjffjjjffj. What is prob of sequence jfj?\n' | b'9/68\n' | deepmind/math_dataset |
b'Let d(p) be the first derivative of -5*p**4/12 + p**3/6 - 3*p + 4. Let o(t) be the first derivative of d(t). What is the second derivative of o(h) wrt h?\n' | b'-10\n' | b'Let d(p) be the first derivative of -5*p**4/12 + p**3/6 - 3*p + 4. Let o(t) be the first derivative of d(t). What is the second derivative of o(h) wrt h?\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (f**1*f**(-3))**(1/64) assuming f is positive.\n' | b'f**(-1/32)\n' | b'Simplify (f**1*f**(-3))**(1/64) assuming f is positive.\n' | b'f**(-1/32)\n' | deepmind/math_dataset |
b'Simplify (r**(1/11)/r**(-3))**(1/40) assuming r is positive.\n' | b'r**(17/220)\n' | b'Simplify (r**(1/11)/r**(-3))**(1/40) assuming r is positive.\n' | b'r**(17/220)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, m: 2}. Give prob of sequence myy.\n' | b'1/6\n' | b'Three letters picked without replacement from {y: 2, m: 2}. Give prob of sequence myy.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((k**(-2/11)*k)/((((k*k/k**4)/k*k)/k)/k)*k**9/((k/(k**(-6)/k)*k)/k))**(-19) assuming k is positive.\n' | b'k**(-1216/11)\n' | b'Simplify ((k**(-2/11)*k)/((((k*k/k**4)/k*k)/k)/k)*k**9/((k/(k**(-6)/k)*k)/k))**(-19) assuming k is positive.\n' | b'k**(-1216/11)\n' | deepmind/math_dataset |
b'Let k(u) = -u**3 + 13*u**2 + u - 5. Let a be k(13). Suppose 0 = 7*y - 20 - a. Solve -n - 10 = n + y*t, 2*t + 3 = -3*n for n.\n' | b'1\n' | b'Let k(u) = -u**3 + 13*u**2 + u - 5. Let a be k(13). Suppose 0 = 7*y - 20 - a. Solve -n - 10 = n + y*t, 2*t + 3 = -3*n for n.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjj. Give prob of sequence jj.\n' | b'1\n' | b'Two letters picked without replacement from jjj. Give prob of sequence jj.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 5*f - 1 + 16 = 0, -15 = 3*n - f. Let h(l) = -l**2 - 7*l + 3. Give h(n).\n' | b'9\n' | b'Suppose 5*f - 1 + 16 = 0, -15 = 3*n - f. Let h(l) = -l**2 - 7*l + 3. Give h(n).\n' | b'9\n' | deepmind/math_dataset |
b'Let m(a) = a**3 - 17*a**2 - 20*a + 40. Let b be m(18). Find the second derivative of -1 - 13*f + 24*f - 43*f**4 - 5*f - 26*f**b wrt f.\n' | b'-828*f**2\n' | b'Let m(a) = a**3 - 17*a**2 - 20*a + 40. Let b be m(18). Find the second derivative of -1 - 13*f + 24*f - 43*f**4 - 5*f - 26*f**b wrt f.\n' | b'-828*f**2\n' | deepmind/math_dataset |
b'Let m be 38/4 + 12/24. Let x be (-33)/(-2) + ((-40)/16)/(-5). What is the derivative of -m*f - 4*f - 8 + x*f wrt f?\n' | b'3\n' | b'Let m be 38/4 + 12/24. Let x be (-33)/(-2) + ((-40)/16)/(-5). What is the derivative of -m*f - 4*f - 8 + x*f wrt f?\n' | b'3\n' | deepmind/math_dataset |
b'Let c(p) = -p - 2. Let b(r) = 2*r**3 + 20*r**2 + 22*r + 29. Let d be b(-9). Give c(d).\n' | b'5\n' | b'Let c(p) = -p - 2. Let b(r) = 2*r**3 + 20*r**2 + 22*r + 29. Let d be b(-9). Give c(d).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (f**(-3/25)/f*f*f/f**(-29))**(4/11) assuming f is positive.\n' | b'f**(2988/275)\n' | b'Simplify (f**(-3/25)/f*f*f/f**(-29))**(4/11) assuming f is positive.\n' | b'f**(2988/275)\n' | deepmind/math_dataset |
b'What is prob of picking 1 j, 2 k, and 1 v when four letters picked without replacement from {j: 2, k: 7, v: 4}?\n' | b'168/715\n' | b'What is prob of picking 1 j, 2 k, and 1 v when four letters picked without replacement from {j: 2, k: 7, v: 4}?\n' | b'168/715\n' | deepmind/math_dataset |
b'What is the third derivative of 2*l**4 - 2*l**2 + 0*l**2 - 7*l**2 wrt l?\n' | b'48*l\n' | b'What is the third derivative of 2*l**4 - 2*l**2 + 0*l**2 - 7*l**2 wrt l?\n' | b'48*l\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jdjjukuwjuw. Give prob of sequence wdk.\n' | b'1/495\n' | b'Three letters picked without replacement from jdjjukuwjuw. Give prob of sequence wdk.\n' | b'1/495\n' | deepmind/math_dataset |
b'Find the first derivative of -9 - 16*n**2 - 28 + 4 wrt n.\n' | b'-32*n\n' | b'Find the first derivative of -9 - 16*n**2 - 28 + 4 wrt n.\n' | b'-32*n\n' | deepmind/math_dataset |
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