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 c and 1 r when two letters picked without replacement from {r: 1, f: 1, o: 4, c: 2, y: 2}?\n' | b'2/45\n' | b'What is prob of picking 1 c and 1 r when two letters picked without replacement from {r: 1, f: 1, o: 4, c: 2, y: 2}?\n' | b'2/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 p when three letters picked without replacement from {l: 1, p: 7}.\n' | b'5/8\n' | b'Calculate prob of picking 3 p when three letters picked without replacement from {l: 1, p: 7}.\n' | b'5/8\n' | deepmind/math_dataset |
b'Suppose -10*k + 2*k + 248 = 0. Suppose -4*d = -k + 11. Solve 0 = -3*r + a - d, -4*r + 4*a = 12 for r.\n' | b'-1\n' | b'Suppose -10*k + 2*k + 248 = 0. Suppose -4*d = -k + 11. Solve 0 = -3*r + a - d, -4*r + 4*a = 12 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(s) = -s**5 + 72*s**3 - 425*s**2 - 3. Let y(m) = -m**5 + m**3 + m**2 - 1. Let v(c) = -p(c) + 3*y(c). What is the third derivative of v(z) wrt z?\n' | b'-120*z**2 - 414\n' | b'Let p(s) = -s**5 + 72*s**3 - 425*s**2 - 3. Let y(m) = -m**5 + m**3 + m**2 - 1. Let v(c) = -p(c) + 3*y(c). What is the third derivative of v(z) wrt z?\n' | b'-120*z**2 - 414\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 4, e: 10}. What is prob of picking 2 e and 2 d?\n' | b'270/1001\n' | b'Four letters picked without replacement from {d: 4, e: 10}. What is prob of picking 2 e and 2 d?\n' | b'270/1001\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 m when four letters picked without replacement from {m: 7, s: 6}.\n' | b'7/143\n' | b'Calculate prob of picking 4 m when four letters picked without replacement from {m: 7, s: 6}.\n' | b'7/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 2, t: 2, s: 6, f: 2, n: 2, q: 3}. Give prob of sequence sptt.\n' | b'1/2380\n' | b'Four letters picked without replacement from {p: 2, t: 2, s: 6, f: 2, n: 2, q: 3}. Give prob of sequence sptt.\n' | b'1/2380\n' | deepmind/math_dataset |
b'Simplify (h**(-3/8)*h*h**3)/((h/h**(-4))/(h*h*h/h**6)) assuming h is positive.\n' | b'h**(-35/8)\n' | b'Simplify (h**(-3/8)*h*h**3)/((h/h**(-4))/(h*h*h/h**6)) assuming h is positive.\n' | b'h**(-35/8)\n' | deepmind/math_dataset |
b'Simplify ((k**(-2/5)/k*k**(-4)*k*k*k)/(k**0)**(-21/5))**(-1/3) assuming k is positive.\n' | b'k**(4/5)\n' | b'Simplify ((k**(-2/5)/k*k**(-4)*k*k*k)/(k**0)**(-21/5))**(-1/3) assuming k is positive.\n' | b'k**(4/5)\n' | deepmind/math_dataset |
b'Simplify ((w*w/((w/(w/w**(2/3)))/w)*w*w)/w*w)**(7/3)/((w/(w*((w/w**(-5)*w)/w)/w))/w*(w**(-2/19)*w)/w) assuming w is positive.\n' | b'w**(2773/171)\n' | b'Simplify ((w*w/((w/(w/w**(2/3)))/w)*w*w)/w*w)**(7/3)/((w/(w*((w/w**(-5)*w)/w)/w))/w*(w**(-2/19)*w)/w) assuming w is positive.\n' | b'w**(2773/171)\n' | deepmind/math_dataset |
b'Suppose 0 = 4*o - 81 - 191. Suppose 22 = -9*h - o. Let c(j) = -j + 9. Give c(h).\n' | b'19\n' | b'Suppose 0 = 4*o - 81 - 191. Suppose 22 = -9*h - o. Let c(j) = -j + 9. Give c(h).\n' | b'19\n' | deepmind/math_dataset |
b'Calculate prob of sequence tdp when three letters picked without replacement from {d: 2, p: 1, t: 1, z: 2, i: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence tdp when three letters picked without replacement from {d: 2, p: 1, t: 1, z: 2, i: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let k(c) = -6 + 7*c**2 - c**2 - 730*c - c**3 + 731*c + 0*c**2. Let r = 0 + 6. Calculate k(r).\n' | b'0\n' | b'Let k(c) = -6 + 7*c**2 - c**2 - 730*c - c**3 + 731*c + 0*c**2. Let r = 0 + 6. Calculate k(r).\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 c when two letters picked without replacement from cavavcccccvvvbcccvvv?\n' | b'18/95\n' | b'What is prob of picking 2 c when two letters picked without replacement from cavavcccccvvvbcccvvv?\n' | b'18/95\n' | deepmind/math_dataset |
b'Let i = 7 - 6. Let o(h) = 3 - 3 + 0*h**2 + i - 4*h - 2*h**2. Let q(z) = 616*z - 8627. Let p be q(14). Calculate o(p).\n' | b'-5\n' | b'Let i = 7 - 6. Let o(h) = 3 - 3 + 0*h**2 + i - 4*h - 2*h**2. Let q(z) = 616*z - 8627. Let p be q(14). Calculate o(p).\n' | b'-5\n' | deepmind/math_dataset |
b'Let s(h) be the second derivative of -h**6/120 - 3*h**5/20 - h**4/4 + h**3 - 29*h**2/2 - 4*h + 10. Let j(o) be the first derivative of s(o). Determine j(-8).\n' | b'-10\n' | b'Let s(h) be the second derivative of -h**6/120 - 3*h**5/20 - h**4/4 + h**3 - 29*h**2/2 - 4*h + 10. Let j(o) be the first derivative of s(o). Determine j(-8).\n' | b'-10\n' | deepmind/math_dataset |
b'Find the second derivative of 20*o - 10*o**4 + 7*o**4 - 7*o**4 wrt o.\n' | b'-120*o**2\n' | b'Find the second derivative of 20*o - 10*o**4 + 7*o**4 - 7*o**4 wrt o.\n' | b'-120*o**2\n' | deepmind/math_dataset |
b'Simplify (((a*a**(-1/4)*a*a/(a*a*a/(a/(a/(a**(-2/15)/a)*a))))/((a/(a*a**0))/(a*a**(-4)/a)))**(-31))**(-23) assuming a is positive.\n' | b'a**(-273079/60)\n' | b'Simplify (((a*a**(-1/4)*a*a/(a*a*a/(a/(a/(a**(-2/15)/a)*a))))/((a/(a*a**0))/(a*a**(-4)/a)))**(-31))**(-23) assuming a is positive.\n' | b'a**(-273079/60)\n' | deepmind/math_dataset |
b'Let o(m) = -10798*m - 4126. Let c(j) = 3601*j + 1377. Let q(h) = -11*c(h) - 4*o(h). Differentiate q(i) wrt i.\n' | b'3581\n' | b'Let o(m) = -10798*m - 4126. Let c(j) = 3601*j + 1377. Let q(h) = -11*c(h) - 4*o(h). Differentiate q(i) wrt i.\n' | b'3581\n' | deepmind/math_dataset |
b'Simplify ((((r/(r/(r*r**(-2/7))*r))/r)/r*r*r)/r**3)**(-2/53)/((r**(-5)*r*r**(-1/9)*r)/(r**(1/3)*r**1)) assuming r is positive.\n' | b'r**(15254/3339)\n' | b'Simplify ((((r/(r/(r*r**(-2/7))*r))/r)/r*r*r)/r**3)**(-2/53)/((r**(-5)*r*r**(-1/9)*r)/(r**(1/3)*r**1)) assuming r is positive.\n' | b'r**(15254/3339)\n' | deepmind/math_dataset |
b'What is the second derivative of 23*t**2 + 1077*t + 1066*t - 391*t + 710*t + 34*t**3 + 331*t wrt t?\n' | b'204*t + 46\n' | b'What is the second derivative of 23*t**2 + 1077*t + 1066*t - 391*t + 710*t + 34*t**3 + 331*t wrt t?\n' | b'204*t + 46\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zvpxrgr. What is prob of sequence pz?\n' | b'1/42\n' | b'Two letters picked without replacement from zvpxrgr. What is prob of sequence pz?\n' | b'1/42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 3, v: 7, k: 2}. What is prob of sequence vv?\n' | b'7/22\n' | b'Two letters picked without replacement from {o: 3, v: 7, k: 2}. What is prob of sequence vv?\n' | b'7/22\n' | deepmind/math_dataset |
b'Let u(v) be the third derivative of v**5/5 - 11*v**3/6 + 20*v**2. Differentiate u(p) with respect to p.\n' | b'24*p\n' | b'Let u(v) be the third derivative of v**5/5 - 11*v**3/6 + 20*v**2. Differentiate u(p) with respect to p.\n' | b'24*p\n' | deepmind/math_dataset |
b'Let t(d) = 2*d**2 - 7801 - 7810 + 15624. What is t(0)?\n' | b'13\n' | b'Let t(d) = 2*d**2 - 7801 - 7810 + 15624. What is t(0)?\n' | b'13\n' | deepmind/math_dataset |
b'Suppose -5*a - 2*z + 2 = 0, -5*z = -5*a - 11 + 41. Let b(t) = 742*t + 748. Let q be b(-1). Solve a*o - 2*w = 0, o = q*o + 2*w - 28 for o.\n' | b'4\n' | b'Suppose -5*a - 2*z + 2 = 0, -5*z = -5*a - 11 + 41. Let b(t) = 742*t + 748. Let q be b(-1). Solve a*o - 2*w = 0, o = q*o + 2*w - 28 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((i*i**(-1/2)/i*i)**49)**(-1/4))**43 assuming i is positive.\n' | b'i**(-2107/8)\n' | b'Simplify (((i*i**(-1/2)/i*i)**49)**(-1/4))**43 assuming i is positive.\n' | b'i**(-2107/8)\n' | deepmind/math_dataset |
b'Suppose -91 = -20*z + 9. Suppose -3*v - 12 = -51. Solve z*x + 2*y - v = -0*x, 0 = 2*x - 4*y + 14 for x.\n' | b'1\n' | b'Suppose -91 = -20*z + 9. Suppose -3*v - 12 = -51. Solve z*x + 2*y - v = -0*x, 0 = 2*x - 4*y + 14 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Let c be (-7)/14*(-6)/(-1). Let p(y) = 4*y - 2. Let x(l) = 5*l - 3. Let j(v) = -6*p(v) + 5*x(v). Determine j(c).\n' | b'-6\n' | b'Let c be (-7)/14*(-6)/(-1). Let p(y) = 4*y - 2. Let x(l) = 5*l - 3. Let j(v) = -6*p(v) + 5*x(v). Determine j(c).\n' | b'-6\n' | deepmind/math_dataset |
b'Let a(w) = w + 16. Suppose -4*p = -s - 13, 3*p = 2*s - 1 + 7. Let i be -20*(s/(-18))/((-2)/(-6)). Suppose 0 = i*u + 5*u - 19*u. Give a(u).\n' | b'16\n' | b'Let a(w) = w + 16. Suppose -4*p = -s - 13, 3*p = 2*s - 1 + 7. Let i be -20*(s/(-18))/((-2)/(-6)). Suppose 0 = i*u + 5*u - 19*u. Give a(u).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify r**11*r**(1/7) assuming r is positive.\n' | b'r**(78/7)\n' | b'Simplify r**11*r**(1/7) assuming r is positive.\n' | b'r**(78/7)\n' | deepmind/math_dataset |
b'Let c = 112 + -88. Solve -c = -3*r - z + 6*z, 3*r + z = 6 for r.\n' | b'3\n' | b'Let c = 112 + -88. Solve -c = -3*r - z + 6*z, 3*r + z = 6 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, z: 1, v: 1}. Give prob of picking 1 v and 2 f.\n' | b'3/10\n' | b'Three letters picked without replacement from {f: 3, z: 1, v: 1}. Give prob of picking 1 v and 2 f.\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify ((m/m**14)**6*(m/m**(-16))**(-2))**28 assuming m is positive.\n' | b'm**(-3136)\n' | b'Simplify ((m/m**14)**6*(m/m**(-16))**(-2))**28 assuming m is positive.\n' | b'm**(-3136)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 2 e when four letters picked without replacement from {g: 1, c: 1, e: 2}.\n' | b'0\n' | b'Calculate prob of picking 2 c and 2 e when four letters picked without replacement from {g: 1, c: 1, e: 2}.\n' | b'0\n' | deepmind/math_dataset |
b'Let x(b) = -4*b - 3. Let m(n) = -4*n - 4. Let u(z) = -2*m(z) + 3*x(z). Let d be (690/(-2185))/(4/(-38)). Determine u(d).\n' | b'-13\n' | b'Let x(b) = -4*b - 3. Let m(n) = -4*n - 4. Let u(z) = -2*m(z) + 3*x(z). Let d be (690/(-2185))/(4/(-38)). Determine u(d).\n' | b'-13\n' | deepmind/math_dataset |
b'Let g = -158 - -158. Suppose 0 = -5*s, g = -17*j + 14*j - 5*s + 6. Solve j*z - 5*q = -31, -2*z + q = 5 + 6 for z.\n' | b'-3\n' | b'Let g = -158 - -158. Suppose 0 = -5*s, g = -17*j + 14*j - 5*s + 6. Solve j*z - 5*q = -31, -2*z + q = 5 + 6 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(w) = -22*w**3 + 11*w**2 - 12*w - 11. Let m(a) = -11*a**3 + 6*a**2 - 6*a - 6. Let c(t) = 11*m(t) - 6*y(t). What is the second derivative of c(s) wrt s?\n' | b'66*s\n' | b'Let y(w) = -22*w**3 + 11*w**2 - 12*w - 11. Let m(a) = -11*a**3 + 6*a**2 - 6*a - 6. Let c(t) = 11*m(t) - 6*y(t). What is the second derivative of c(s) wrt s?\n' | b'66*s\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jwmw. Give prob of picking 1 j, 1 m, and 1 w.\n' | b'1/2\n' | b'Three letters picked without replacement from jwmw. Give prob of picking 1 j, 1 m, and 1 w.\n' | b'1/2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d when two letters picked without replacement from {x: 1, d: 3, p: 2, k: 4, w: 1, r: 1}.\n' | b'1/22\n' | b'Calculate prob of picking 2 d when two letters picked without replacement from {x: 1, d: 3, p: 2, k: 4, w: 1, r: 1}.\n' | b'1/22\n' | deepmind/math_dataset |
b'Suppose -2*g = 6, -r = 5*g + 4 + 9. Differentiate -64*o**2 - 190*o + 95*o - 133*o**r + 95*o - 162 with respect to o.\n' | b'-394*o\n' | b'Suppose -2*g = 6, -r = 5*g + 4 + 9. Differentiate -64*o**2 - 190*o + 95*o - 133*o**r + 95*o - 162 with respect to o.\n' | b'-394*o\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 3 f when four letters picked without replacement from {u: 1, t: 2, s: 1, f: 5, h: 1}.\n' | b'1/21\n' | b'Calculate prob of picking 1 s and 3 f when four letters picked without replacement from {u: 1, t: 2, s: 1, f: 5, h: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let l = -391 + 394. Find the second derivative of -179*x**3 - 159*x**l + 83*x + 292*x**3 wrt x.\n' | b'-276*x\n' | b'Let l = -391 + 394. Find the second derivative of -179*x**3 - 159*x**l + 83*x + 292*x**3 wrt x.\n' | b'-276*x\n' | deepmind/math_dataset |
b'Suppose 0 = -46*v + 45*v + 15. What is the second derivative of 0*c + 40*c**3 + v*c - 5*c + 2*c**2 wrt c?\n' | b'240*c + 4\n' | b'Suppose 0 = -46*v + 45*v + 15. What is the second derivative of 0*c + 40*c**3 + v*c - 5*c + 2*c**2 wrt c?\n' | b'240*c + 4\n' | deepmind/math_dataset |
b'Let h(b) be the third derivative of 2*b**5/15 + b**4/12 + b**3/2 - 5*b**2 - 7*b. Calculate h(-1).\n' | b'9\n' | b'Let h(b) be the third derivative of 2*b**5/15 + b**4/12 + b**3/2 - 5*b**2 - 7*b. Calculate h(-1).\n' | b'9\n' | deepmind/math_dataset |
b'Let p(y) = -2*y. Let r be p(-2). Suppose 3*i - 2 = r. What is the derivative of 5*a + 4 - 3*a + 2*a + i*a wrt a?\n' | b'6\n' | b'Let p(y) = -2*y. Let r be p(-2). Suppose 3*i - 2 = r. What is the derivative of 5*a + 4 - 3*a + 2*a + i*a wrt a?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (d/(d**(1/5)*d)*d*d/((d*d**(-2/7)/d)/d)*d)/((((d/d**(-2/11))/d*d)/d)/(d*d*d**(-8))) assuming d is positive.\n' | b'd**(-807/385)\n' | b'Simplify (d/(d**(1/5)*d)*d*d/((d*d**(-2/7)/d)/d)*d)/((((d/d**(-2/11))/d*d)/d)/(d*d*d**(-8))) assuming d is positive.\n' | b'd**(-807/385)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, d: 4, u: 9, g: 1}. Give prob of sequence jd.\n' | b'1/30\n' | b'Two letters picked without replacement from {j: 2, d: 4, u: 9, g: 1}. Give prob of sequence jd.\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence uuus when four letters picked without replacement from sssuusssssu.\n' | b'1/165\n' | b'Calculate prob of sequence uuus when four letters picked without replacement from sssuusssssu.\n' | b'1/165\n' | deepmind/math_dataset |
b'Let f be -5*1*(-1 - 0). Suppose 0 = -4*q - 9*c + 4*c - f, 2*q + c - 5 = 0. Find the third derivative of -3*j**q - 3*j**2 - 3*j**2 - j**5 wrt j.\n' | b'-240*j**2\n' | b'Let f be -5*1*(-1 - 0). Suppose 0 = -4*q - 9*c + 4*c - f, 2*q + c - 5 = 0. Find the third derivative of -3*j**q - 3*j**2 - 3*j**2 - j**5 wrt j.\n' | b'-240*j**2\n' | deepmind/math_dataset |
b'Let z(r) = 31*r**2 + 3*r + 63*r - 29*r**2 - 12*r + 85 - 88. What is z(-27)?\n' | b'-3\n' | b'Let z(r) = 31*r**2 + 3*r + 63*r - 29*r**2 - 12*r + 85 - 88. What is z(-27)?\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 h when two letters picked without replacement from lhllhllhlhllllhlhlh.\n' | b'28/57\n' | b'Calculate prob of picking 1 l and 1 h when two letters picked without replacement from lhllhllhlhllllhlhlh.\n' | b'28/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, t: 2}. What is prob of picking 1 t and 1 n?\n' | b'3/5\n' | b'Two letters picked without replacement from {n: 3, t: 2}. What is prob of picking 1 t and 1 n?\n' | b'3/5\n' | deepmind/math_dataset |
b'Let o(p) be the first derivative of -2*p**3/3 - 21*p**2/2 - 7*p - 5. Let r be o(-10). Solve 0 = 4*s - 3*y - 21, -5*y - 6 = r*s - 0 for s.\n' | b'3\n' | b'Let o(p) be the first derivative of -2*p**3/3 - 21*p**2/2 - 7*p - 5. Let r be o(-10). Solve 0 = 4*s - 3*y - 21, -5*y - 6 = r*s - 0 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from axaxx. What is prob of picking 1 a and 2 x?\n' | b'3/5\n' | b'Three letters picked without replacement from axaxx. What is prob of picking 1 a and 2 x?\n' | b'3/5\n' | deepmind/math_dataset |
b'Suppose -2*b = i + 2 + 2, 2*b + 10 = 2*i. Let l = -11 + -36. Let p = l + 58. Solve -2*u + 18 = -4*g, -p = -i*g - 2*u - u for g.\n' | b'-2\n' | b'Suppose -2*b = i + 2 + 2, 2*b + 10 = 2*i. Let l = -11 + -36. Let p = l + 58. Solve -2*u + 18 = -4*g, -p = -i*g - 2*u - u for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let k be ((-24)/(-22))/((-34)/(-187)). Let j(t) = 11*t + 1540*t**2 + k - 4*t - 1541*t**2. What is j(7)?\n' | b'6\n' | b'Let k be ((-24)/(-22))/((-34)/(-187)). Let j(t) = 11*t + 1540*t**2 + k - 4*t - 1541*t**2. What is j(7)?\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -9*w = 29*w + 114. Let n(f) = -7*f - 17. What is n(w)?\n' | b'4\n' | b'Suppose -9*w = 29*w + 114. Let n(f) = -7*f - 17. What is n(w)?\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence zg when two letters picked without replacement from ggzegzzzgzzzmzggge?\n' | b'28/153\n' | b'What is prob of sequence zg when two letters picked without replacement from ggzegzzzgzzzmzggge?\n' | b'28/153\n' | deepmind/math_dataset |
b'Simplify (z*z**(1/5)*z)**(-50)*(z**(-6))**37 assuming z is positive.\n' | b'z**(-332)\n' | b'Simplify (z*z**(1/5)*z)**(-50)*(z**(-6))**37 assuming z is positive.\n' | b'z**(-332)\n' | deepmind/math_dataset |
b'Find the third derivative of -5*k**4 + 3*k**4 - 11*k**4 - 5*k**6 + 6*k**6 + 48*k**2 wrt k.\n' | b'120*k**3 - 312*k\n' | b'Find the third derivative of -5*k**4 + 3*k**4 - 11*k**4 - 5*k**6 + 6*k**6 + 48*k**2 wrt k.\n' | b'120*k**3 - 312*k\n' | deepmind/math_dataset |
b'Let a(h) = 8*h**2 - 4*h - 2. Let t be a(2). Let g = t + -6. Suppose -8*l + 12*l - 16 = 0. Solve -2*s = 2*y + g, -8 = l*s - 2*y - 0 for s.\n' | b'-4\n' | b'Let a(h) = 8*h**2 - 4*h - 2. Let t be a(2). Let g = t + -6. Suppose -8*l + 12*l - 16 = 0. Solve -2*s = 2*y + g, -8 = l*s - 2*y - 0 for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, x: 1, h: 1, m: 2}. Give prob of picking 1 h and 1 y.\n' | b'1/10\n' | b'Two letters picked without replacement from {y: 1, x: 1, h: 1, m: 2}. Give prob of picking 1 h and 1 y.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let q(l) = -9*l - 7. Let o(n) = 1. Let g(t) = -2*t + 6. Let p(m) = g(m) - 6*o(m). Let r(v) = 5*p(v) - q(v). What is r(0)?\n' | b'7\n' | b'Let q(l) = -9*l - 7. Let o(n) = 1. Let g(t) = -2*t + 6. Let p(m) = g(m) - 6*o(m). Let r(v) = 5*p(v) - q(v). What is r(0)?\n' | b'7\n' | deepmind/math_dataset |
b'Let s(t) = -3 - 3*t + 6*t - t**2 + t**3 + 0*t. Let z be s(2). Let p(y) = -2*y + 16. Let j be p(z). Solve -4*h = -5*g + 2, -4*g - 2*h = -8*g - j for g.\n' | b'-2\n' | b'Let s(t) = -3 - 3*t + 6*t - t**2 + t**3 + 0*t. Let z be s(2). Let p(y) = -2*y + 16. Let j be p(z). Solve -4*h = -5*g + 2, -4*g - 2*h = -8*g - j for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 9*t + 14 = 11*t. What is the second derivative of -111*l - 17*l**3 - 23*l**2 + 14*l**2 + t*l**2 wrt l?\n' | b'-102*l - 4\n' | b'Suppose 9*t + 14 = 11*t. What is the second derivative of -111*l - 17*l**3 - 23*l**2 + 14*l**2 + t*l**2 wrt l?\n' | b'-102*l - 4\n' | deepmind/math_dataset |
b'What is prob of sequence mj when two letters picked without replacement from {i: 4, j: 6, m: 10}?\n' | b'3/19\n' | b'What is prob of sequence mj when two letters picked without replacement from {i: 4, j: 6, m: 10}?\n' | b'3/19\n' | deepmind/math_dataset |
b'Let j be 1*(6 - 3)*-1. Let q(x) = -x - 5. Let o(s) = -s - 6. Let a be (-99)/27 - 4/(-6). Let k(u) = a*o(u) + 4*q(u). Give k(j).\n' | b'1\n' | b'Let j be 1*(6 - 3)*-1. Let q(x) = -x - 5. Let o(s) = -s - 6. Let a be (-99)/27 - 4/(-6). Let k(u) = a*o(u) + 4*q(u). Give k(j).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 h when two letters picked without replacement from nnazhzzxunxh?\n' | b'1/33\n' | b'What is prob of picking 1 u and 1 h when two letters picked without replacement from nnazhzzxunxh?\n' | b'1/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, k: 4, g: 3, m: 2}. What is prob of sequence kk?\n' | b'2/15\n' | b'Two letters picked without replacement from {s: 1, k: 4, g: 3, m: 2}. What is prob of sequence kk?\n' | b'2/15\n' | deepmind/math_dataset |
b'Simplify (z**3*z/(z**(-4)*z))/(z*z**1*z*z*(z/(z*z**(-3)*z))/z)*((z/z**(1/5))/z**(-7))**(-15/7) assuming z is positive.\n' | b'z**(-103/7)\n' | b'Simplify (z**3*z/(z**(-4)*z))/(z*z**1*z*z*(z/(z*z**(-3)*z))/z)*((z/z**(1/5))/z**(-7))**(-15/7) assuming z is positive.\n' | b'z**(-103/7)\n' | deepmind/math_dataset |
b'Suppose -9*o = 9*o - 450. Solve -5*n + 0*l - o = -l, 0 = -4*n - l - 11 for n.\n' | b'-4\n' | b'Suppose -9*o = 9*o - 450. Solve -5*n + 0*l - o = -l, 0 = -4*n - l - 11 for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fokxi. What is prob of sequence kxi?\n' | b'1/60\n' | b'Three letters picked without replacement from fokxi. What is prob of sequence kxi?\n' | b'1/60\n' | deepmind/math_dataset |
b'Four letters picked without replacement from azwazfwjarz. What is prob of picking 1 j, 1 z, 1 a, and 1 f?\n' | b'3/110\n' | b'Four letters picked without replacement from azwazfwjarz. What is prob of picking 1 j, 1 z, 1 a, and 1 f?\n' | b'3/110\n' | deepmind/math_dataset |
b'What is prob of sequence bgkh when four letters picked without replacement from {b: 3, i: 4, g: 3, h: 4, k: 3}?\n' | b'9/4760\n' | b'What is prob of sequence bgkh when four letters picked without replacement from {b: 3, i: 4, g: 3, h: 4, k: 3}?\n' | b'9/4760\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 m when two letters picked without replacement from unsquumqsusmuqmvnquq?\n' | b'3/38\n' | b'What is prob of picking 1 q and 1 m when two letters picked without replacement from unsquumqsusmuqmvnquq?\n' | b'3/38\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mubqdmbuqmdmqmbdmq. Give prob of picking 2 q, 1 m, and 1 u.\n' | b'2/85\n' | b'Four letters picked without replacement from mubqdmbuqmdmqmbdmq. Give prob of picking 2 q, 1 m, and 1 u.\n' | b'2/85\n' | deepmind/math_dataset |
b'Simplify (k**(-8))**(14/9)/((k**(4/7)*k)/k)**(-12/7) assuming k is positive.\n' | b'k**(-5056/441)\n' | b'Simplify (k**(-8))**(14/9)/((k**(4/7)*k)/k)**(-12/7) assuming k is positive.\n' | b'k**(-5056/441)\n' | deepmind/math_dataset |
b'Let h(a) = -4728*a**3 - 16*a - 3 + 2366*a**3 + 2361*a**3 + 16*a**2 - 13. Give h(15).\n' | b'-31\n' | b'Let h(a) = -4728*a**3 - 16*a - 3 + 2366*a**3 + 2361*a**3 + 16*a**2 - 13. Give h(15).\n' | b'-31\n' | deepmind/math_dataset |
b'Let s = -5 - -7. Let r be s/(-9) + 100/45. Suppose -n - 5 = -r*n. Solve 3*o + 14 = 5*c - o, -3*o - 13 = -n*c for c.\n' | b'2\n' | b'Let s = -5 - -7. Let r be s/(-9) + 100/45. Suppose -n - 5 = -r*n. Solve 3*o + 14 = 5*c - o, -3*o - 13 = -n*c for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let r be 0 - 15/(-20) - (-2)/8. Let s be (-12)/(-7) + (-2)/(-7). Solve -5*z - 2*y = -5*y - r, -6 = -s*z + 4*y for z.\n' | b'-1\n' | b'Let r be 0 - 15/(-20) - (-2)/8. Let s be (-12)/(-7) + (-2)/(-7). Solve -5*z - 2*y = -5*y - r, -6 = -s*z + 4*y for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(b) = 24*b + 4. Let n(d) = -d**2 - 60*d - 224. Let l be n(-4). Let g be f(l). Solve 5 = -g*c + 3*m, 5*m + 3 = -2 for c.\n' | b'-2\n' | b'Let f(b) = 24*b + 4. Let n(d) = -d**2 - 60*d - 224. Let l be n(-4). Let g be f(l). Solve 5 = -g*c + 3*m, 5*m + 3 = -2 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let o(m) = -m**3 - 26*m**2 + 79*m - 53. Let k be o(-29). Suppose 184*y = k*y + 15. Solve 2*w - 22 = 4*t, -y*t = 5*w - 5*t - 23 for w.\n' | b'3\n' | b'Let o(m) = -m**3 - 26*m**2 + 79*m - 53. Let k be o(-29). Suppose 184*y = k*y + 15. Solve 2*w - 22 = 4*t, -y*t = 5*w - 5*t - 23 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Let a = 2 - 1. Suppose 5 = -u + 9. Let y(r) = -r + a + r**2 + 1 - 3 + u. Determine y(0).\n' | b'3\n' | b'Let a = 2 - 1. Suppose 5 = -u + 9. Let y(r) = -r + a + r**2 + 1 - 3 + u. Determine y(0).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((q**(-2/5)/(q**17*q*q))/(q*q*q/(q/q**(1/3))*q/(q*q/q**(-2))))**(-2/3) assuming q is positive.\n' | b'q**(562/45)\n' | b'Simplify ((q**(-2/5)/(q**17*q*q))/(q*q*q/(q/q**(1/3))*q/(q*q/q**(-2))))**(-2/3) assuming q is positive.\n' | b'q**(562/45)\n' | deepmind/math_dataset |
b'Simplify (n**21/n)/((n*(n/(n**(6/13)/n))/n*n)/n)*(n*n*(n**24/n)/n)/n**(-1/51) assuming n is positive.\n' | b'n**(28165/663)\n' | b'Simplify (n**21/n)/((n*(n/(n**(6/13)/n))/n*n)/n)*(n*n*(n**24/n)/n)/n**(-1/51) assuming n is positive.\n' | b'n**(28165/663)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 1 s when two letters picked without replacement from toqpsoxtx.\n' | b'1/18\n' | b'Calculate prob of picking 1 o and 1 s when two letters picked without replacement from toqpsoxtx.\n' | b'1/18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bzkkz. What is prob of picking 2 z?\n' | b'1/10\n' | b'Two letters picked without replacement from bzkkz. What is prob of picking 2 z?\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of picking 3 s when three letters picked without replacement from mssmmsmmmsssms?\n' | b'5/52\n' | b'What is prob of picking 3 s when three letters picked without replacement from mssmmsmmmsssms?\n' | b'5/52\n' | deepmind/math_dataset |
b'Let c(k) = -k**2 - 7*k - 10. Let x be c(-4). Suppose 3 = 4*g - 13, -16 = -x*s - 3*g. What is the third derivative of 3*u**s - 5*u + u**4 + 5*u wrt u?\n' | b'24*u\n' | b'Let c(k) = -k**2 - 7*k - 10. Let x be c(-4). Suppose 3 = 4*g - 13, -16 = -x*s - 3*g. What is the third derivative of 3*u**s - 5*u + u**4 + 5*u wrt u?\n' | b'24*u\n' | deepmind/math_dataset |
b'Let d(x) = 11*x**2 - x**3 - 7 - 20*x**2 + 11*x**2 + 6*x. Let u be d(3). Let m(i) = i + 6. Let w be m(-6). Solve 4*h = -w*r + r - 2, u*h = 3*r + 4 for r.\n' | b'-2\n' | b'Let d(x) = 11*x**2 - x**3 - 7 - 20*x**2 + 11*x**2 + 6*x. Let u be d(3). Let m(i) = i + 6. Let w be m(-6). Solve 4*h = -w*r + r - 2, u*h = 3*r + 4 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence zd when two letters picked without replacement from zdddzzd.\n' | b'2/7\n' | b'Calculate prob of sequence zd when two letters picked without replacement from zdddzzd.\n' | b'2/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {c: 5, x: 3, g: 1, z: 9}.\n' | b'5/51\n' | b'Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {c: 5, x: 3, g: 1, z: 9}.\n' | b'5/51\n' | deepmind/math_dataset |
b'Calculate prob of sequence bbcc when four letters picked without replacement from bchhhcbhchbcbhhb.\n' | b'1/182\n' | b'Calculate prob of sequence bbcc when four letters picked without replacement from bchhhcbhchbcbhhb.\n' | b'1/182\n' | deepmind/math_dataset |
b'Let j = -31315 + 31325. Solve -11*a = -j*a - 3*c - 9, -a = 2*c + 6 for a.\n' | b'0\n' | b'Let j = -31315 + 31325. Solve -11*a = -j*a - 3*c - 9, -a = 2*c + 6 for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(p) = p + 1. Let f be (16/10)/(10/(-25)). Let q(v) = -v**2 + 9*v + 5. Let a(y) = f*q(y) + 36*k(y). Differentiate a(h) with respect to h.\n' | b'8*h\n' | b'Let k(p) = p + 1. Let f be (16/10)/(10/(-25)). Let q(v) = -v**2 + 9*v + 5. Let a(y) = f*q(y) + 36*k(y). Differentiate a(h) with respect to h.\n' | b'8*h\n' | deepmind/math_dataset |
b'Calculate prob of sequence vl when two letters picked without replacement from {a: 2, v: 2, j: 8, l: 6}.\n' | b'2/51\n' | b'Calculate prob of sequence vl when two letters picked without replacement from {a: 2, v: 2, j: 8, l: 6}.\n' | b'2/51\n' | deepmind/math_dataset |
b'Let z(d) = d**2 + d + 1. Let u(a) = 5*a**2 - 4*a - 4. Let q(k) = u(k) - 6*z(k). Let i(h) = -h**3 + 4*h**2 - h - 4. Let g be i(4). What is q(g)?\n' | b'6\n' | b'Let z(d) = d**2 + d + 1. Let u(a) = 5*a**2 - 4*a - 4. Let q(k) = u(k) - 6*z(k). Let i(h) = -h**3 + 4*h**2 - h - 4. Let g be i(4). What is q(g)?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((r**(-2/9)/(r*r**(1/13)/r))/(r*r/((r*(r/(r*r**(4/11)))/r)/r)*r*r*(r/r**(-9))/r*r))**(-2/5) assuming r is positive.\n' | b'r**(40316/6435)\n' | b'Simplify ((r**(-2/9)/(r*r**(1/13)/r))/(r*r/((r*(r/(r*r**(4/11)))/r)/r)*r*r*(r/r**(-9))/r*r))**(-2/5) assuming r is positive.\n' | b'r**(40316/6435)\n' | deepmind/math_dataset |
b'Suppose -r = 1 - 4. Suppose 0*c - 6 = -r*c. Let d(o) = o**c + 0*o + 2 - 10*o + 5*o - 3*o. Give d(6).\n' | b'-10\n' | b'Suppose -r = 1 - 4. Suppose 0*c - 6 = -r*c. Let d(o) = o**c + 0*o + 2 - 10*o + 5*o - 3*o. Give d(6).\n' | b'-10\n' | deepmind/math_dataset |
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