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'Simplify ((b**(1/10))**(-5/9)/(b**(-2/63))**(-39))**(1/14) assuming b is positive.\n' | b'b**(-163/1764)\n' | b'Simplify ((b**(1/10))**(-5/9)/(b**(-2/63))**(-39))**(1/14) assuming b is positive.\n' | b'b**(-163/1764)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, a: 1, c: 4, s: 1, x: 4, t: 4}. What is prob of picking 2 g?\n' | b'0\n' | b'Two letters picked without replacement from {g: 1, a: 1, c: 4, s: 1, x: 4, t: 4}. What is prob of picking 2 g?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence zizi when four letters picked without replacement from zjzjzzzzzyiizz.\n' | b'6/1001\n' | b'Calculate prob of sequence zizi when four letters picked without replacement from zjzjzzzzzyiizz.\n' | b'6/1001\n' | deepmind/math_dataset |
b'Simplify (x**(1/4))**(5/8)*(x**1)**(2/151)*(((x/(x/(x**(-4/3)/x))*x)/x)/x**(1/4))**(-7/4) assuming x is positive.\n' | b'x**(67991/14496)\n' | b'Simplify (x**(1/4))**(5/8)*(x**1)**(2/151)*(((x/(x/(x**(-4/3)/x))*x)/x)/x**(1/4))**(-7/4) assuming x is positive.\n' | b'x**(67991/14496)\n' | deepmind/math_dataset |
b'Let x = 85 + 91. Let f = 6 - 10. Let d be x/40 - f/(-10). Solve 2*p - 8 = 2*v, v + 0 + d = -5*p for p.\n' | b'0\n' | b'Let x = 85 + 91. Let f = 6 - 10. Let d be x/40 - f/(-10). Solve 2*p - 8 = 2*v, v + 0 + d = -5*p for p.\n' | b'0\n' | deepmind/math_dataset |
b'Let q(y) = -y**3 + 7*y**2 - 2*y - 3. Let v be q(6). Let d be (-12)/v*21/(-6). Find the third derivative of 26*x**5 - 15*x**2 + 31*x**d - 35*x**2 wrt x.\n' | b'1560*x**2\n' | b'Let q(y) = -y**3 + 7*y**2 - 2*y - 3. Let v be q(6). Let d be (-12)/v*21/(-6). Find the third derivative of 26*x**5 - 15*x**2 + 31*x**d - 35*x**2 wrt x.\n' | b'1560*x**2\n' | deepmind/math_dataset |
b'Suppose j = 6*j - 25. Suppose -16 + 1 = -j*w. Solve 0*k + 19 = -4*k - w*d, -3*k - 3*d - 15 = 0 for k.\n' | b'-4\n' | b'Suppose j = 6*j - 25. Suppose -16 + 1 = -j*w. Solve 0*k + 19 = -4*k - w*d, -3*k - 3*d - 15 = 0 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((p*p**1)/p*p)**(-47)*((p**1*p)/p)**9 assuming p is positive.\n' | b'p**(-85)\n' | b'Simplify ((p*p**1)/p*p)**(-47)*((p**1*p)/p)**9 assuming p is positive.\n' | b'p**(-85)\n' | deepmind/math_dataset |
b'Let s(t) = -17*t. Let n be s(-1). Solve 3*h - 5 = 5*v, -5*h - 3*v = -5*v + n for h.\n' | b'-5\n' | b'Let s(t) = -17*t. Let n be s(-1). Solve 3*h - 5 = 5*v, -5*h - 3*v = -5*v + n for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 2, z: 1, g: 2, y: 1, x: 3, u: 9}. What is prob of sequence gz?\n' | b'1/153\n' | b'Two letters picked without replacement from {f: 2, z: 1, g: 2, y: 1, x: 3, u: 9}. What is prob of sequence gz?\n' | b'1/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 8, t: 3, p: 2, k: 3}. What is prob of sequence tp?\n' | b'1/40\n' | b'Two letters picked without replacement from {f: 8, t: 3, p: 2, k: 3}. What is prob of sequence tp?\n' | b'1/40\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, f: 1, s: 2, d: 1}. What is prob of sequence fsd?\n' | b'1/30\n' | b'Three letters picked without replacement from {v: 1, f: 1, s: 2, d: 1}. What is prob of sequence fsd?\n' | b'1/30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 8, g: 1, i: 4}. Give prob of picking 1 g and 1 y.\n' | b'4/39\n' | b'Two letters picked without replacement from {y: 8, g: 1, i: 4}. Give prob of picking 1 g and 1 y.\n' | b'4/39\n' | deepmind/math_dataset |
b'Let f(d) = 2*d**2 - 3*d + 11. Let o(n) = -n**2 - n - 3. Let y(g) = -f(g) - 3*o(g). Let b = -13 + 7. What is y(b)?\n' | b'-2\n' | b'Let f(d) = 2*d**2 - 3*d + 11. Let o(n) = -n**2 - n - 3. Let y(g) = -f(g) - 3*o(g). Let b = -13 + 7. What is y(b)?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gttktktgkctktqgctgt. Give prob of sequence gg.\n' | b'2/57\n' | b'Two letters picked without replacement from gttktktgkctktqgctgt. Give prob of sequence gg.\n' | b'2/57\n' | deepmind/math_dataset |
b'Suppose 10 = -2*k + 4*k. Suppose k = 2*f + 1. Find the third derivative of 7*x**6 + 0*x**2 - 5*x**6 + x**f wrt x.\n' | b'240*x**3\n' | b'Suppose 10 = -2*k + 4*k. Suppose k = 2*f + 1. Find the third derivative of 7*x**6 + 0*x**2 - 5*x**6 + x**f wrt x.\n' | b'240*x**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 2, p: 8, w: 3, i: 2, g: 2}. What is prob of sequence wp?\n' | b'3/34\n' | b'Two letters picked without replacement from {b: 2, p: 8, w: 3, i: 2, g: 2}. What is prob of sequence wp?\n' | b'3/34\n' | deepmind/math_dataset |
b'Simplify (h*h**15)/((h*h/(h*((h*h**(-1/2))/h)/h)*h*h)/h)*h*h*(h*h/(h/h**(-25)))/h*h**(-39) assuming h is positive.\n' | b'h**(-99/2)\n' | b'Simplify (h*h**15)/((h*h/(h*((h*h**(-1/2))/h)/h)*h*h)/h)*h*h*(h*h/(h/h**(-25)))/h*h**(-39) assuming h is positive.\n' | b'h**(-99/2)\n' | deepmind/math_dataset |
b'Simplify (r**(1/2))**48*(r**(1/4))**(3/17) assuming r is positive.\n' | b'r**(1635/68)\n' | b'Simplify (r**(1/2))**48*(r**(1/4))**(3/17) assuming r is positive.\n' | b'r**(1635/68)\n' | deepmind/math_dataset |
b'Calculate prob of sequence od when two letters picked without replacement from {d: 4, o: 15}.\n' | b'10/57\n' | b'Calculate prob of sequence od when two letters picked without replacement from {d: 4, o: 15}.\n' | b'10/57\n' | deepmind/math_dataset |
b'Simplify (s/(s/s**(-1/6))*s*(s/s**15)/s)/(s*s**(6/7)*s)**(-36) assuming s is positive.\n' | b's**(3725/42)\n' | b'Simplify (s/(s/s**(-1/6))*s*(s/s**15)/s)/(s*s**(6/7)*s)**(-36) assuming s is positive.\n' | b's**(3725/42)\n' | deepmind/math_dataset |
b'Calculate prob of sequence krc when three letters picked without replacement from {p: 2, r: 1, k: 6, c: 1, b: 1, h: 4}.\n' | b'1/455\n' | b'Calculate prob of sequence krc when three letters picked without replacement from {p: 2, r: 1, k: 6, c: 1, b: 1, h: 4}.\n' | b'1/455\n' | deepmind/math_dataset |
b'Differentiate -i + 2 + 3 + 15 + 1 with respect to i.\n' | b'-1\n' | b'Differentiate -i + 2 + 3 + 15 + 1 with respect to i.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 5*c + c - 66 = 0. Solve 3*g - 6 = 0, -z - 2*z - 4*g = -c for z.\n' | b'1\n' | b'Suppose 5*c + c - 66 = 0. Solve 3*g - 6 = 0, -z - 2*z - 4*g = -c for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(x) = -6*x - 20. Let y be s(-4). Solve -y*o + w = 2*w - 4, -2*w + 8 = -3*o for o.\n' | b'0\n' | b'Let s(x) = -6*x - 20. Let y be s(-4). Solve -y*o + w = 2*w - 4, -2*w + 8 = -3*o for o.\n' | b'0\n' | deepmind/math_dataset |
b'Let v be (-5 - -3)/(-6) - (-825)/9. Suppose 44*h + 2*h - v = 0. Solve -h*i - 10 = -c, -3*i = -2*c - 7*i - 12 for c.\n' | b'2\n' | b'Let v be (-5 - -3)/(-6) - (-825)/9. Suppose 44*h + 2*h - v = 0. Solve -h*i - 10 = -c, -3*i = -2*c - 7*i - 12 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence fw when two letters picked without replacement from {t: 5, f: 1, m: 7, x: 4, w: 1, l: 1}.\n' | b'1/342\n' | b'Calculate prob of sequence fw when two letters picked without replacement from {t: 5, f: 1, m: 7, x: 4, w: 1, l: 1}.\n' | b'1/342\n' | deepmind/math_dataset |
b'What is prob of sequence wwnn when four letters picked without replacement from {w: 9, n: 2}?\n' | b'1/55\n' | b'What is prob of sequence wwnn when four letters picked without replacement from {w: 9, n: 2}?\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of picking 2 g when two letters picked without replacement from lgpljjjjjltgjtdjdd?\n' | b'1/153\n' | b'What is prob of picking 2 g when two letters picked without replacement from lgpljjjjjltgjtdjdd?\n' | b'1/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 1, q: 6, m: 3, w: 3, i: 1, g: 3}. Give prob of sequence iqgw.\n' | b'9/9520\n' | b'Four letters picked without replacement from {e: 1, q: 6, m: 3, w: 3, i: 1, g: 3}. Give prob of sequence iqgw.\n' | b'9/9520\n' | deepmind/math_dataset |
b'Calculate prob of sequence czcc when four letters picked without replacement from zzzzczczzzzczcczczz.\n' | b'65/3876\n' | b'Calculate prob of sequence czcc when four letters picked without replacement from zzzzczczzzzczcczczz.\n' | b'65/3876\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 7}. Give prob of picking 3 h.\n' | b'1\n' | b'Three letters picked without replacement from {h: 7}. Give prob of picking 3 h.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 b and 2 h when four letters picked without replacement from {p: 2, n: 1, t: 2, v: 7, b: 1, h: 1}?\n' | b'0\n' | b'What is prob of picking 2 b and 2 h when four letters picked without replacement from {p: 2, n: 1, t: 2, v: 7, b: 1, h: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o, 1 m, and 1 q when three letters picked without replacement from {e: 5, f: 2, q: 1, m: 4, o: 2}.\n' | b'2/91\n' | b'Calculate prob of picking 1 o, 1 m, and 1 q when three letters picked without replacement from {e: 5, f: 2, q: 1, m: 4, o: 2}.\n' | b'2/91\n' | deepmind/math_dataset |
b'Suppose 3*z + 6 = -6. Let t(x) = x**2 + 5*x + 6. Let l be t(z). Solve l*y = m - 4, 2 = m + 5*y - 2 for m.\n' | b'4\n' | b'Suppose 3*z + 6 = -6. Let t(x) = x**2 + 5*x + 6. Let l be t(z). Solve l*y = m - 4, 2 = m + 5*y - 2 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from esebsesles. What is prob of sequence le?\n' | b'2/45\n' | b'Two letters picked without replacement from esebsesles. What is prob of sequence le?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let n = 82 + -79. Solve v - 5*a - 25 = -3*v, 10 = n*v + 5*a for v.\n' | b'5\n' | b'Let n = 82 + -79. Solve v - 5*a - 25 = -3*v, 10 = n*v + 5*a for v.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 11*o + 40 = 13*o. Solve -s + o = 3*t, -s + 5*t = -4*s + 40 for s.\n' | b'5\n' | b'Suppose 11*o + 40 = 13*o. Solve -s + o = 3*t, -s + 5*t = -4*s + 40 for s.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence nbll when four letters picked without replacement from lblmmlbnnl?\n' | b'1/105\n' | b'What is prob of sequence nbll when four letters picked without replacement from lblmmlbnnl?\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of picking 2 o when two letters picked without replacement from dowwzz?\n' | b'0\n' | b'What is prob of picking 2 o when two letters picked without replacement from dowwzz?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 3, t: 2, h: 5, i: 1, p: 1}. Give prob of picking 1 p and 1 h.\n' | b'5/66\n' | b'Two letters picked without replacement from {q: 3, t: 2, h: 5, i: 1, p: 1}. Give prob of picking 1 p and 1 h.\n' | b'5/66\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, n: 3, o: 4, u: 7, g: 1, z: 1}. What is prob of sequence zzz?\n' | b'0\n' | b'Three letters picked without replacement from {s: 2, n: 3, o: 4, u: 7, g: 1, z: 1}. What is prob of sequence zzz?\n' | b'0\n' | deepmind/math_dataset |
b'Let o(l) be the second derivative of -13*l**6/30 - l**4/12 + 16*l. What is the third derivative of o(s) wrt s?\n' | b'-312*s\n' | b'Let o(l) be the second derivative of -13*l**6/30 - l**4/12 + 16*l. What is the third derivative of o(s) wrt s?\n' | b'-312*s\n' | deepmind/math_dataset |
b'Let q(t) = t**2 + 10*t + 6. Let f be q(-8). Let u be -1 - 15/(-75) - (-2)/f. Let o(v) = 7*v**3 + 2*v**2 + v. Give o(u).\n' | b'-6\n' | b'Let q(t) = t**2 + 10*t + 6. Let f be q(-8). Let u be -1 - 15/(-75) - (-2)/f. Let o(v) = 7*v**3 + 2*v**2 + v. Give o(u).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (h*h**0*h)/h**28 assuming h is positive.\n' | b'h**(-26)\n' | b'Simplify (h*h**0*h)/h**28 assuming h is positive.\n' | b'h**(-26)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qaqwauce. Give prob of sequence wc.\n' | b'1/56\n' | b'Two letters picked without replacement from qaqwauce. Give prob of sequence wc.\n' | b'1/56\n' | deepmind/math_dataset |
b'Calculate prob of sequence ywr when three letters picked without replacement from {u: 2, r: 2, w: 2, o: 12, y: 1}.\n' | b'2/2907\n' | b'Calculate prob of sequence ywr when three letters picked without replacement from {u: 2, r: 2, w: 2, o: 12, y: 1}.\n' | b'2/2907\n' | deepmind/math_dataset |
b'Let m(r) = -6*r - 106. Let f be m(19). Let y = -215 - f. Solve 3*h + 5*w - 18 + 5 = 0, -2*h + y*w = 33 for h.\n' | b'-4\n' | b'Let m(r) = -6*r - 106. Let f be m(19). Let y = -215 - f. Solve 3*h + 5*w - 18 + 5 = 0, -2*h + y*w = 33 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence wsb when three letters picked without replacement from wwbimbswbcbibwsmmwb?\n' | b'10/969\n' | b'What is prob of sequence wsb when three letters picked without replacement from wwbimbswbcbibwsmmwb?\n' | b'10/969\n' | deepmind/math_dataset |
b'Let j(p) be the second derivative of 5*p - 3/4*p**4 + 0*p**3 + 9/2*p**2 + 0. Differentiate j(m) with respect to m.\n' | b'-18*m\n' | b'Let j(p) be the second derivative of 5*p - 3/4*p**4 + 0*p**3 + 9/2*p**2 + 0. Differentiate j(m) with respect to m.\n' | b'-18*m\n' | deepmind/math_dataset |
b'Let y(v) = v**2 - 7*v + 11. Let t be ((-84)/70)/((-2)/10). Let h be y(t). Solve -2*f - 3*z + h = -f, 29 = -5*f + 3*z for f.\n' | b'-4\n' | b'Let y(v) = v**2 - 7*v + 11. Let t be ((-84)/70)/((-2)/10). Let h be y(t). Solve -2*f - 3*z + h = -f, 29 = -5*f + 3*z for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((q/(q*q**(-2/7)/q*q))**(-6)*q**(-1)/q**(-1/11))**50)**(2/19) assuming q is positive.\n' | b'q**(-20200/1463)\n' | b'Simplify (((q/(q*q**(-2/7)/q*q))**(-6)*q**(-1)/q**(-1/11))**50)**(2/19) assuming q is positive.\n' | b'q**(-20200/1463)\n' | deepmind/math_dataset |
b'Suppose 79 - 19 = 5*r. Suppose 3*v + 0*f - 21 = -4*f, v + 3*f - r = 0. Let d(h) be the first derivative of h**4/4 - h**3 + h**2 + 2*h - 47. Give d(v).\n' | b'8\n' | b'Suppose 79 - 19 = 5*r. Suppose 3*v + 0*f - 21 = -4*f, v + 3*f - r = 0. Let d(h) be the first derivative of h**4/4 - h**3 + h**2 + 2*h - 47. Give d(v).\n' | b'8\n' | deepmind/math_dataset |
b'Let k = 9 + -7. What is the derivative of 2 - 5 - v**3 - v**3 + k wrt v?\n' | b'-6*v**2\n' | b'Let k = 9 + -7. What is the derivative of 2 - 5 - v**3 - v**3 + k wrt v?\n' | b'-6*v**2\n' | deepmind/math_dataset |
b'Suppose 6 = -5*p + 66. Let g = p + -8. Find the second derivative of 4*a**g + 3*a**4 + a - 6*a**4 wrt a.\n' | b'12*a**2\n' | b'Suppose 6 = -5*p + 66. Let g = p + -8. Find the second derivative of 4*a**g + 3*a**4 + a - 6*a**4 wrt a.\n' | b'12*a**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 w, 1 s, and 1 e when three letters picked without replacement from {h: 1, w: 5, f: 2, x: 6, e: 1, s: 2}?\n' | b'1/68\n' | b'What is prob of picking 1 w, 1 s, and 1 e when three letters picked without replacement from {h: 1, w: 5, f: 2, x: 6, e: 1, s: 2}?\n' | b'1/68\n' | deepmind/math_dataset |
b'Let j(d) be the first derivative of d**2/2 + 7*d - 49. Determine j(-11).\n' | b'-4\n' | b'Let j(d) be the first derivative of d**2/2 + 7*d - 49. Determine j(-11).\n' | b'-4\n' | deepmind/math_dataset |
b'What is the second derivative of 9*a + 205*a**4 + a - 176*a**4 wrt a?\n' | b'348*a**2\n' | b'What is the second derivative of 9*a + 205*a**4 + a - 176*a**4 wrt a?\n' | b'348*a**2\n' | deepmind/math_dataset |
b'Simplify (p*p**(-2))**(4/7)*(((p*p**(1/4)/p*p*p*p)/p)/p)**(-46) assuming p is positive.\n' | b'p**(-813/14)\n' | b'Simplify (p*p**(-2))**(4/7)*(((p*p**(1/4)/p*p*p*p)/p)/p)**(-46) assuming p is positive.\n' | b'p**(-813/14)\n' | deepmind/math_dataset |
b'Simplify (c*c**(-2/7)/c*c)**(9/11)*(c**(-4))**(7/4) assuming c is positive.\n' | b'c**(-494/77)\n' | b'Simplify (c*c**(-2/7)/c*c)**(9/11)*(c**(-4))**(7/4) assuming c is positive.\n' | b'c**(-494/77)\n' | deepmind/math_dataset |
b'Simplify (j**0/j)**29*(j**(-1/2)/j*j)**(10/9) assuming j is positive.\n' | b'j**(-266/9)\n' | b'Simplify (j**0/j)**29*(j**(-1/2)/j*j)**(10/9) assuming j is positive.\n' | b'j**(-266/9)\n' | deepmind/math_dataset |
b'What is prob of sequence mhmm when four letters picked without replacement from mmmmmmmmmhmmmmm?\n' | b'1/15\n' | b'What is prob of sequence mhmm when four letters picked without replacement from mmmmmmmmmhmmmmm?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is the third derivative of 40*w**2 + 325*w + 4 - 5 - 185*w**4 - 88*w**2 + 49*w**2 - 32*w - 8*w**3 wrt w?\n' | b'-4440*w - 48\n' | b'What is the third derivative of 40*w**2 + 325*w + 4 - 5 - 185*w**4 - 88*w**2 + 49*w**2 - 32*w - 8*w**3 wrt w?\n' | b'-4440*w - 48\n' | deepmind/math_dataset |
b'What is the third derivative of -17*b**4 - 2 - 2*b**3 - 28*b**3 + 2 - 24*b + 25*b + 283*b**2 wrt b?\n' | b'-408*b - 180\n' | b'What is the third derivative of -17*b**4 - 2 - 2*b**3 - 28*b**3 + 2 - 24*b + 25*b + 283*b**2 wrt b?\n' | b'-408*b - 180\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 2, h: 2, e: 5, x: 1, s: 2, y: 1}. What is prob of sequence xsky?\n' | b'1/4290\n' | b'Four letters picked without replacement from {k: 2, h: 2, e: 5, x: 1, s: 2, y: 1}. What is prob of sequence xsky?\n' | b'1/4290\n' | deepmind/math_dataset |
b'Let u(r) = -r**3 - 12*r**2 - 13*r - 10. Let j be u(-11). Suppose j*c - 7*c = -5. Let i(o) = 3*o**2 + o + 1. Calculate i(c).\n' | b'3\n' | b'Let u(r) = -r**3 - 12*r**2 - 13*r - 10. Let j be u(-11). Suppose j*c - 7*c = -5. Let i(o) = 3*o**2 + o + 1. Calculate i(c).\n' | b'3\n' | deepmind/math_dataset |
b'Let d(m) = -5*m + 3*m - 2 - 4. Let p be d(-5). Let c(q) = 1 + 2*q + q**2 - 3*q - p. Calculate c(3).\n' | b'3\n' | b'Let d(m) = -5*m + 3*m - 2 - 4. Let p be d(-5). Let c(q) = 1 + 2*q + q**2 - 3*q - p. Calculate c(3).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 2 j when three letters picked without replacement from {w: 3, j: 2, u: 1, d: 1}?\n' | b'1/35\n' | b'What is prob of picking 1 u and 2 j when three letters picked without replacement from {w: 3, j: 2, u: 1, d: 1}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 1, q: 1, y: 2, x: 3}. Give prob of sequence yxwy.\n' | b'1/140\n' | b'Four letters picked without replacement from {w: 1, q: 1, y: 2, x: 3}. Give prob of sequence yxwy.\n' | b'1/140\n' | deepmind/math_dataset |
b'Let a(k) = 2*k - 6. Let p be a(6). Let s(i) = i**2 - 6*i + 3. Let m be s(p). Let w be (30 + 27 - 45) + (-7 - 1/1). Solve -m*h + 4*v + w = 12, -10 = -5*v for h.\n' | b'0\n' | b'Let a(k) = 2*k - 6. Let p be a(6). Let s(i) = i**2 - 6*i + 3. Let m be s(p). Let w be (30 + 27 - 45) + (-7 - 1/1). Solve -m*h + 4*v + w = 12, -10 = -5*v for h.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence gg when two letters picked without replacement from {q: 9, d: 3, g: 7}?\n' | b'7/57\n' | b'What is prob of sequence gg when two letters picked without replacement from {q: 9, d: 3, g: 7}?\n' | b'7/57\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fyzoozzfmoo. Give prob of picking 1 f, 1 z, and 1 m.\n' | b'2/55\n' | b'Three letters picked without replacement from fyzoozzfmoo. Give prob of picking 1 f, 1 z, and 1 m.\n' | b'2/55\n' | deepmind/math_dataset |
b'Simplify h*h**3*h/h**(-1/6)*h**(-9)/(h**(3/5)*h) assuming h is positive.\n' | b'h**(-163/30)\n' | b'Simplify h*h**3*h/h**(-1/6)*h**(-9)/(h**(3/5)*h) assuming h is positive.\n' | b'h**(-163/30)\n' | deepmind/math_dataset |
b'Let s(y) = -37*y + 62. Let c(h) = -257*h + 440. Let t(o) = -3*c(o) + 22*s(o). What is t(1)?\n' | b'1\n' | b'Let s(y) = -37*y + 62. Let c(h) = -257*h + 440. Let t(o) = -3*c(o) + 22*s(o). What is t(1)?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lqloffofiiolfyfio. What is prob of sequence ll?\n' | b'3/136\n' | b'Two letters picked without replacement from lqloffofiiolfyfio. What is prob of sequence ll?\n' | b'3/136\n' | deepmind/math_dataset |
b'What is prob of sequence pq when two letters picked without replacement from mpqpmpp?\n' | b'2/21\n' | b'What is prob of sequence pq when two letters picked without replacement from mpqpmpp?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let q be 6/(-4)*((-80)/6)/5. Suppose -3*d + 6*d - 24 = q*a, 0 = d + a - 1. Solve -d*p - 2*v = 2*v, -5*v + 5 = 0 for p.\n' | b'-1\n' | b'Let q be 6/(-4)*((-80)/6)/5. Suppose -3*d + 6*d - 24 = q*a, 0 = d + a - 1. Solve -d*p - 2*v = 2*v, -5*v + 5 = 0 for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((((b/b**(-3/7))/b)/(b/b**(2/13)))/(b**0/(b*b*b**(-2/15)*b)))/(((b**6*b)/b)/(b/b**(1/3)))**(3/5) assuming b is positive.\n' | b'b**(-205/273)\n' | b'Simplify ((((b/b**(-3/7))/b)/(b/b**(2/13)))/(b**0/(b*b*b**(-2/15)*b)))/(((b**6*b)/b)/(b/b**(1/3)))**(3/5) assuming b is positive.\n' | b'b**(-205/273)\n' | deepmind/math_dataset |
b'Simplify ((x/(x/x**(-6)))/x)/(x**(-27)/x) assuming x is positive.\n' | b'x**21\n' | b'Simplify ((x/(x/x**(-6)))/x)/(x**(-27)/x) assuming x is positive.\n' | b'x**21\n' | deepmind/math_dataset |
b'Let f(c) = -c + 21. Let h be f(13). Suppose 0 = 5*z + 4*p - 20, -h - 8 = -4*z + p. Solve 0 = -4*i + z, -4*m - 2*i + 5*i = -13 for m.\n' | b'4\n' | b'Let f(c) = -c + 21. Let h be f(13). Suppose 0 = 5*z + 4*p - 20, -h - 8 = -4*z + p. Solve 0 = -4*i + z, -4*m - 2*i + 5*i = -13 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 10, y: 4}. What is prob of sequence ykky?\n' | b'45/1001\n' | b'Four letters picked without replacement from {k: 10, y: 4}. What is prob of sequence ykky?\n' | b'45/1001\n' | deepmind/math_dataset |
b'Let s(b) be the first derivative of 24*b**5 + b**2 + 2101*b - 1287. Differentiate s(h) with respect to h.\n' | b'480*h**3 + 2\n' | b'Let s(b) be the first derivative of 24*b**5 + b**2 + 2101*b - 1287. Differentiate s(h) with respect to h.\n' | b'480*h**3 + 2\n' | deepmind/math_dataset |
b'Let b(x) be the second derivative of x**8/420 + x**4/8 - x**3/6 + 4*x. Let s(v) be the second derivative of b(v). Differentiate s(n) with respect to n.\n' | b'16*n**3\n' | b'Let b(x) be the second derivative of x**8/420 + x**4/8 - x**3/6 + 4*x. Let s(v) be the second derivative of b(v). Differentiate s(n) with respect to n.\n' | b'16*n**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, t: 1, o: 1, b: 9, s: 1, x: 5}. Give prob of picking 1 x, 2 b, and 1 t.\n' | b'1/17\n' | b'Four letters picked without replacement from {r: 1, t: 1, o: 1, b: 9, s: 1, x: 5}. Give prob of picking 1 x, 2 b, and 1 t.\n' | b'1/17\n' | deepmind/math_dataset |
b'Let j = 9 + -15. Let v(c) = -19 - c**2 + 32 - 11*c - 6 - 12 - 18. Let d be v(j). Solve -4*b + 2 = -2*k, 3*b = -4*k + d + 22 for b.\n' | b'3\n' | b'Let j = 9 + -15. Let v(c) = -19 - c**2 + 32 - 11*c - 6 - 12 - 18. Let d be v(j). Solve -4*b + 2 = -2*k, 3*b = -4*k + d + 22 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 5, r: 1, m: 2, z: 1}. Give prob of sequence rzmm.\n' | b'1/1512\n' | b'Four letters picked without replacement from {o: 5, r: 1, m: 2, z: 1}. Give prob of sequence rzmm.\n' | b'1/1512\n' | deepmind/math_dataset |
b'Simplify ((k/((k*k**(-19)/k)/k)*k*k/k**(-3/14)*k)**29)**23 assuming k is positive.\n' | b'k**(226113/14)\n' | b'Simplify ((k/((k*k**(-19)/k)/k)*k*k/k**(-3/14)*k)**29)**23 assuming k is positive.\n' | b'k**(226113/14)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ll when two letters picked without replacement from {l: 6, w: 1, c: 7, y: 4}.\n' | b'5/51\n' | b'Calculate prob of sequence ll when two letters picked without replacement from {l: 6, w: 1, c: 7, y: 4}.\n' | b'5/51\n' | deepmind/math_dataset |
b'What is the second derivative of -17 - 64*p - 389*p**2 + 17 + 445*p**2 + 591*p**2 wrt p?\n' | b'1294\n' | b'What is the second derivative of -17 - 64*p - 389*p**2 + 17 + 445*p**2 + 591*p**2 wrt p?\n' | b'1294\n' | deepmind/math_dataset |
b'Simplify (g/(g**22*g))/g*g**(5/8)/g assuming g is positive.\n' | b'g**(-187/8)\n' | b'Simplify (g/(g**22*g))/g*g**(5/8)/g assuming g is positive.\n' | b'g**(-187/8)\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 1 d when three letters picked without replacement from iwwicimwindn?\n' | b'3/220\n' | b'What is prob of picking 2 w and 1 d when three letters picked without replacement from iwwicimwindn?\n' | b'3/220\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, p: 2, h: 6, i: 6}.\n' | b'2/51\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, p: 2, h: 6, i: 6}.\n' | b'2/51\n' | deepmind/math_dataset |
b'Let v(g) = -125*g - 1741. Let x be v(-14). Solve -1 = -h - 3*k, x = -2*h - 4*k + 13 for h.\n' | b'4\n' | b'Let v(g) = -125*g - 1741. Let x be v(-14). Solve -1 = -h - 3*k, x = -2*h - 4*k + 13 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 2 + 2 = -2*g. Let w be -2*g/(-4) + 2. Let q(h) = -9*h. Give q(w).\n' | b'-9\n' | b'Suppose 2 + 2 = -2*g. Let w be -2*g/(-4) + 2. Let q(h) = -9*h. Give q(w).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of sequence hsh when three letters picked without replacement from {h: 3, s: 15}.\n' | b'5/272\n' | b'Calculate prob of sequence hsh when three letters picked without replacement from {h: 3, s: 15}.\n' | b'5/272\n' | deepmind/math_dataset |
b'Let y = -6 + 8. Suppose 5*k + 4*x - 15 = 0, 2*k + 0*x - 6 = y*x. Solve 0 = g + g + k*l + 11, 4 = -g - l for g.\n' | b'-1\n' | b'Let y = -6 + 8. Suppose 5*k + 4*x - 15 = 0, 2*k + 0*x - 6 = y*x. Solve 0 = g + g + k*l + 11, 4 = -g - l for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let l = -7 + 7. Let v(y) = -y**2 - y - 17. Give v(l).\n' | b'-17\n' | b'Let l = -7 + 7. Let v(y) = -y**2 - y - 17. Give v(l).\n' | b'-17\n' | deepmind/math_dataset |
b'Let c(n) = -97*n - 27. Let b(y) = 193*y + 67. Let g(o) = 2*b(o) + 5*c(o). Determine g(1).\n' | b'-100\n' | b'Let c(n) = -97*n - 27. Let b(y) = 193*y + 67. Let g(o) = 2*b(o) + 5*c(o). Determine g(1).\n' | b'-100\n' | deepmind/math_dataset |
b'Simplify u*u/(u/(u/(u**(-24)*u*u*u)*u*u))*u**(-12) assuming u is positive.\n' | b'u**13\n' | b'Simplify u*u/(u/(u/(u**(-24)*u*u*u)*u*u))*u**(-12) assuming u is positive.\n' | b'u**13\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 7, n: 1, m: 5}. Give prob of sequence nmvm.\n' | b'7/858\n' | b'Four letters picked without replacement from {v: 7, n: 1, m: 5}. Give prob of sequence nmvm.\n' | b'7/858\n' | deepmind/math_dataset |
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