question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Two letters picked without replacement from aruyya. What is prob of picking 1 a and 1 r?\n' | b'2/15\n' | b'Two letters picked without replacement from aruyya. What is prob of picking 1 a and 1 r?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let j(d) be the first derivative of -33*d**7/7 - 4*d**3/3 + d**2/2 + 78. What is the third derivative of j(s) wrt s?\n' | b'-3960*s**3\n' | b'Let j(d) be the first derivative of -33*d**7/7 - 4*d**3/3 + d**2/2 + 78. What is the third derivative of j(s) wrt s?\n' | b'-3960*s**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xvlaarrardra. Give prob of sequence lv.\n' | b'1/132\n' | b'Two letters picked without replacement from xvlaarrardra. Give prob of sequence lv.\n' | b'1/132\n' | deepmind/math_dataset |
b'Simplify (f*f**(-12)*f)/((f**13/f)/f*f)*(f/((f/(f**(2/9)/f))/f))**(-22) assuming f is positive.\n' | b'f**(-242/9)\n' | b'Simplify (f*f**(-12)*f)/((f**13/f)/f*f)*(f/((f/(f**(2/9)/f))/f))**(-22) assuming f is positive.\n' | b'f**(-242/9)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnhnnhhjjfhhjnnih. What is prob of sequence hif?\n' | b'1/680\n' | b'Three letters picked without replacement from nnhnnhhjjfhhjnnih. What is prob of sequence hif?\n' | b'1/680\n' | deepmind/math_dataset |
b'Simplify (((y*y**(2/41)*y)/y**(-4/7))/(y**(2/7)/((y*y**(-7/5))/y)))**6 assuming y is positive.\n' | b'y**(8046/1435)\n' | b'Simplify (((y*y**(2/41)*y)/y**(-4/7))/(y**(2/7)/((y*y**(-7/5))/y)))**6 assuming y is positive.\n' | b'y**(8046/1435)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 9}. What is prob of picking 2 d?\n' | b'1\n' | b'Two letters picked without replacement from {d: 9}. What is prob of picking 2 d?\n' | b'1\n' | deepmind/math_dataset |
b'Let q(b) be the third derivative of -b**5/60 - 5*b**4/6 - 29*b**3/2 - 2*b**2 - 13*b. Let t be q(-12). Let p(x) = x**2 - 10*x. What is p(t)?\n' | b'-9\n' | b'Let q(b) be the third derivative of -b**5/60 - 5*b**4/6 - 29*b**3/2 - 2*b**2 - 13*b. Let t be q(-12). Let p(x) = x**2 - 10*x. What is p(t)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let o be 2 + (-67)/(-4) - (-6)/24. Let f(d) = -d + 36. Let p be f(o). Differentiate p*h**2 - 27 + 4 + 23*h**2 + 1 wrt h.\n' | b'80*h\n' | b'Let o be 2 + (-67)/(-4) - (-6)/24. Let f(d) = -d + 36. Let p be f(o). Differentiate p*h**2 - 27 + 4 + 23*h**2 + 1 wrt h.\n' | b'80*h\n' | deepmind/math_dataset |
b'Let c(o) be the third derivative of 5*o**4/12 + o**3/6 - 3*o**2. Calculate c(1).\n' | b'11\n' | b'Let c(o) be the third derivative of 5*o**4/12 + o**3/6 - 3*o**2. Calculate c(1).\n' | b'11\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from {y: 1, s: 8, k: 4}.\n' | b'14/39\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from {y: 1, s: 8, k: 4}.\n' | b'14/39\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, x: 3, k: 5, h: 4, q: 1, m: 6}. What is prob of sequence mq?\n' | b'3/190\n' | b'Two letters picked without replacement from {n: 1, x: 3, k: 5, h: 4, q: 1, m: 6}. What is prob of sequence mq?\n' | b'3/190\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gngngg. What is prob of sequence gn?\n' | b'4/15\n' | b'Two letters picked without replacement from gngngg. What is prob of sequence gn?\n' | b'4/15\n' | deepmind/math_dataset |
b'Suppose -5*t + 41 = 223*h - 226*h, -5*t + 48 = -4*h. Let s(n) be the first derivative of -8/3*n**3 - 5*n**2 + 17 + 1/4*n**t - 2*n. What is s(9)?\n' | b'-11\n' | b'Suppose -5*t + 41 = 223*h - 226*h, -5*t + 48 = -4*h. Let s(n) be the first derivative of -8/3*n**3 - 5*n**2 + 17 + 1/4*n**t - 2*n. What is s(9)?\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of picking 2 s when two letters picked without replacement from {s: 5}?\n' | b'1\n' | b'What is prob of picking 2 s when two letters picked without replacement from {s: 5}?\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence lg when two letters picked without replacement from lrggaag.\n' | b'1/14\n' | b'Calculate prob of sequence lg when two letters picked without replacement from lrggaag.\n' | b'1/14\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bbntkbkfkmbfbkt.\n' | b'1/21\n' | b'Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bbntkbkfkmbfbkt.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let z be (-2)/(-4)*0 - -4. Suppose -3*u = -z*p + 8, 2*p + 3*u + 0*u - 4 = 0. What is the third derivative of -y**5 + 5 - 5 - 2*y**p wrt y?\n' | b'-60*y**2\n' | b'Let z be (-2)/(-4)*0 - -4. Suppose -3*u = -z*p + 8, 2*p + 3*u + 0*u - 4 = 0. What is the third derivative of -y**5 + 5 - 5 - 2*y**p wrt y?\n' | b'-60*y**2\n' | deepmind/math_dataset |
b'Let y be (198/891 + (-34)/(-90))/((-6)/(-50)). Solve 5*u = y*b + 15, 3*u - 7 = 8 for b.\n' | b'2\n' | b'Let y be (198/891 + (-34)/(-90))/((-6)/(-50)). Solve 5*u = y*b + 15, 3*u - 7 = 8 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let d(u) be the third derivative of u**5/120 + u**4/4 - 10*u**3/3 + 7*u**2. Let c(y) be the first derivative of d(y). Calculate c(0).\n' | b'6\n' | b'Let d(u) be the third derivative of u**5/120 + u**4/4 - 10*u**3/3 + 7*u**2. Let c(y) be the first derivative of d(y). Calculate c(0).\n' | b'6\n' | deepmind/math_dataset |
b'Let w(j) = 38 + 38 - 124 - 6*j + 48. Determine w(4).\n' | b'-24\n' | b'Let w(j) = 38 + 38 - 124 - 6*j + 48. Determine w(4).\n' | b'-24\n' | deepmind/math_dataset |
b'Let s(i) be the second derivative of -i**6/30 + 179*i**3/6 - 3*i**2/2 + 254*i. Differentiate s(g) wrt g.\n' | b'-4*g**3 + 179\n' | b'Let s(i) be the second derivative of -i**6/30 + 179*i**3/6 - 3*i**2/2 + 254*i. Differentiate s(g) wrt g.\n' | b'-4*g**3 + 179\n' | deepmind/math_dataset |
b'Simplify u**(2/13)/u*u*u**(-3/7)*u*u**(6/7)*u**(3/7)*u*u**(-3)*(u*(u/u**(-6))/u)/u*u*u*u**8*u/u**(-6) assuming u is positive.\n' | b'u**(2094/91)\n' | b'Simplify u**(2/13)/u*u*u**(-3/7)*u*u**(6/7)*u**(3/7)*u*u**(-3)*(u*(u/u**(-6))/u)/u*u*u*u**8*u/u**(-6) assuming u is positive.\n' | b'u**(2094/91)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 z when two letters picked without replacement from zdzqdddzzq.\n' | b'16/45\n' | b'Calculate prob of picking 1 d and 1 z when two letters picked without replacement from zdzqdddzzq.\n' | b'16/45\n' | deepmind/math_dataset |
b'Let y(s) be the first derivative of 101*s**4/4 - 205*s - 283. Differentiate y(q) with respect to q.\n' | b'303*q**2\n' | b'Let y(s) be the first derivative of 101*s**4/4 - 205*s - 283. Differentiate y(q) with respect to q.\n' | b'303*q**2\n' | deepmind/math_dataset |
b'Let s(o) be the third derivative of 13*o**4/24 - 79*o**3/6 + 1587*o**2. What is s(5)?\n' | b'-14\n' | b'Let s(o) be the third derivative of 13*o**4/24 - 79*o**3/6 + 1587*o**2. What is s(5)?\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify (((g**(-11)/(g**(-3/10)/g))**(-2/7))**10)**(4/13) assuming g is positive.\n' | b'g**(776/91)\n' | b'Simplify (((g**(-11)/(g**(-3/10)/g))**(-2/7))**10)**(4/13) assuming g is positive.\n' | b'g**(776/91)\n' | deepmind/math_dataset |
b'What is the second derivative of -24*h - 95*h + 67*h**2 - 107*h + 42*h + 66*h**2 wrt h?\n' | b'266\n' | b'What is the second derivative of -24*h - 95*h + 67*h**2 - 107*h + 42*h + 66*h**2 wrt h?\n' | b'266\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 w when two letters picked without replacement from {c: 4, w: 7}?\n' | b'28/55\n' | b'What is prob of picking 1 c and 1 w when two letters picked without replacement from {c: 4, w: 7}?\n' | b'28/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kramkkmmkjkmmpjrrkj. Give prob of sequence kaj.\n' | b'1/323\n' | b'Three letters picked without replacement from kramkkmmkjkmmpjrrkj. Give prob of sequence kaj.\n' | b'1/323\n' | deepmind/math_dataset |
b'Let q(y) = -20*y**4 - 5*y**3 + 5*y + 9. Let d(c) = -19*c**4 - 4*c**3 + 4*c + 10. Let b(l) = -5*d(l) + 4*q(l). What is the derivative of b(p) wrt p?\n' | b'60*p**3\n' | b'Let q(y) = -20*y**4 - 5*y**3 + 5*y + 9. Let d(c) = -19*c**4 - 4*c**3 + 4*c + 10. Let b(l) = -5*d(l) + 4*q(l). What is the derivative of b(p) wrt p?\n' | b'60*p**3\n' | deepmind/math_dataset |
b'What is prob of sequence rrr when three letters picked without replacement from rrrdt?\n' | b'1/10\n' | b'What is prob of sequence rrr when three letters picked without replacement from rrrdt?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let g = -338 + 340. Solve -17 = j - s - g*s, -4 = -s for j.\n' | b'-5\n' | b'Let g = -338 + 340. Solve -17 = j - s - g*s, -4 = -s for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let n(s) = s**2 + 11*s - 6. Let f(u) = 3*u**2 - 30*u - 11. Let l be f(10). Give n(l).\n' | b'-6\n' | b'Let n(s) = s**2 + 11*s - 6. Let f(u) = 3*u**2 - 30*u - 11. Let l be f(10). Give n(l).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (h**2)**(-40) assuming h is positive.\n' | b'h**(-80)\n' | b'Simplify (h**2)**(-40) assuming h is positive.\n' | b'h**(-80)\n' | deepmind/math_dataset |
b'Suppose 138 - 50 = -3*r + 4*j, -2*j = -4*r - 94. Let n(k) = k**2 + 19*k - 22. Give n(r).\n' | b'-2\n' | b'Suppose 138 - 50 = -3*r + 4*j, -2*j = -4*r - 94. Let n(k) = k**2 + 19*k - 22. Give n(r).\n' | b'-2\n' | deepmind/math_dataset |
b'Let p(u) = u**2 + 12*u + 34. Let d be (4 + -3 - 4)*(-89)/(-3). Let x = 81 + d. Let m be p(x). Solve 4*j + 19 = -3*b, -m*b = 3*j - 5*j - 6 for j.\n' | b'-4\n' | b'Let p(u) = u**2 + 12*u + 34. Let d be (4 + -3 - 4)*(-89)/(-3). Let x = 81 + d. Let m be p(x). Solve 4*j + 19 = -3*b, -m*b = 3*j - 5*j - 6 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t and 2 c when four letters picked without replacement from {c: 12, t: 7}.\n' | b'231/646\n' | b'Calculate prob of picking 2 t and 2 c when four letters picked without replacement from {c: 12, t: 7}.\n' | b'231/646\n' | deepmind/math_dataset |
b'Simplify (v**(2/7))**(-1/17)*v**(-4)/(v*v*v**(-2)/v*v)*(v/(((v/v**(-1))/v)/v)*v*v**(-1))/((v/v**3)/(v/v**(-1/2))) assuming v is positive.\n' | b'v**(115/238)\n' | b'Simplify (v**(2/7))**(-1/17)*v**(-4)/(v*v*v**(-2)/v*v)*(v/(((v/v**(-1))/v)/v)*v*v**(-1))/((v/v**3)/(v/v**(-1/2))) assuming v is positive.\n' | b'v**(115/238)\n' | deepmind/math_dataset |
b'Let w(m) = -5*m - 5. Let y be w(-3). Suppose -t = -14 + y. Find the third derivative of -6*o**2 - 7*o**2 - 4*o**2 - 13*o**4 + 10*o**t wrt o.\n' | b'-72*o\n' | b'Let w(m) = -5*m - 5. Let y be w(-3). Suppose -t = -14 + y. Find the third derivative of -6*o**2 - 7*o**2 - 4*o**2 - 13*o**4 + 10*o**t wrt o.\n' | b'-72*o\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {t: 4, i: 1, m: 3, q: 4, r: 7}.\n' | b'21/323\n' | b'Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {t: 4, i: 1, m: 3, q: 4, r: 7}.\n' | b'21/323\n' | deepmind/math_dataset |
b'Let p = 12 - 12. Suppose 8*g + 21 + 251 = p. Let b = -26 - g. Solve -m + 5*m - 4 = -3*h, -3*m - b = 5*h for m.\n' | b'4\n' | b'Let p = 12 - 12. Suppose 8*g + 21 + 251 = p. Let b = -26 - g. Solve -m + 5*m - 4 = -3*h, -3*m - b = 5*h for m.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vpppvplpvpppapap. Give prob of picking 3 p and 1 l.\n' | b'6/91\n' | b'Four letters picked without replacement from vpppvplpvpppapap. Give prob of picking 3 p and 1 l.\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify ((((t/(t/(t**(5/2)/t)))/t)/t)**(-44)*t**(-6/5)/(t**15*t))**9 assuming t is positive.\n' | b't**(216/5)\n' | b'Simplify ((((t/(t/(t**(5/2)/t)))/t)/t)**(-44)*t**(-6/5)/(t**15*t))**9 assuming t is positive.\n' | b't**(216/5)\n' | deepmind/math_dataset |
b'Let p be 4/8 + (-7)/(-2). Let r(g) = -g**2 - g + p + g - g + 3*g. Let a be (-180)/(-42) + (-4)/14. What is r(a)?\n' | b'-4\n' | b'Let p be 4/8 + (-7)/(-2). Let r(g) = -g**2 - g + p + g - g + 3*g. Let a be (-180)/(-42) + (-4)/14. What is r(a)?\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ueueeeeeuueu. What is prob of sequence ee?\n' | b'7/22\n' | b'Two letters picked without replacement from ueueeeeeuueu. What is prob of sequence ee?\n' | b'7/22\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 k when two letters picked without replacement from bbbbbkbkbe?\n' | b'2/45\n' | b'What is prob of picking 1 e and 1 k when two letters picked without replacement from bbbbbkbkbe?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let q(n) = -n + 2*n - 61 + 48. Determine q(7).\n' | b'-6\n' | b'Let q(n) = -n + 2*n - 61 + 48. Determine q(7).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 2*v = 2*q + 20 - 24, v - 5*q = -10. Let j(i) = i + 38. Determine j(v).\n' | b'38\n' | b'Suppose 2*v = 2*q + 20 - 24, v - 5*q = -10. Let j(i) = i + 38. Determine j(v).\n' | b'38\n' | deepmind/math_dataset |
b'Simplify a**(-2)/a*a*a**0/a*a**(-1/7)/((a**4/a)/a)*((a/a**(-1))/a*a)**(-1/21)/(a**(-1/7)/(a/a**1)) assuming a is positive.\n' | b'a**(-107/21)\n' | b'Simplify a**(-2)/a*a*a**0/a*a**(-1/7)/((a**4/a)/a)*((a/a**(-1))/a*a)**(-1/21)/(a**(-1/7)/(a/a**1)) assuming a is positive.\n' | b'a**(-107/21)\n' | deepmind/math_dataset |
b'Let z be (-90)/75*(-20)/6. Suppose -z = -2*n + 4. What is the derivative of -8*c**4 + 22 + 22*c**n - 21 wrt c?\n' | b'56*c**3\n' | b'Let z be (-90)/75*(-20)/6. Suppose -z = -2*n + 4. What is the derivative of -8*c**4 + 22 + 22*c**n - 21 wrt c?\n' | b'56*c**3\n' | deepmind/math_dataset |
b'Let y(h) = -6*h**3 + h**2 - h. Let p = -6510 + 6515. Let c = -2 - -4. Suppose 2*q - l - 7 = 0, 0 = -p*q + c*l + 12 + 3. Calculate y(q).\n' | b'-6\n' | b'Let y(h) = -6*h**3 + h**2 - h. Let p = -6510 + 6515. Let c = -2 - -4. Suppose 2*q - l - 7 = 0, 0 = -p*q + c*l + 12 + 3. Calculate y(q).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence jpe when three letters picked without replacement from ctpcctejczpj.\n' | b'1/330\n' | b'Calculate prob of sequence jpe when three letters picked without replacement from ctpcctejczpj.\n' | b'1/330\n' | deepmind/math_dataset |
b'Let b(s) be the third derivative of -2*s**7/15 - s**5/60 + s**4/12 - 59*s**3/2 - 687*s**2. What is the second derivative of b(c) wrt c?\n' | b'-336*c**2 - 2\n' | b'Let b(s) be the third derivative of -2*s**7/15 - s**5/60 + s**4/12 - 59*s**3/2 - 687*s**2. What is the second derivative of b(c) wrt c?\n' | b'-336*c**2 - 2\n' | deepmind/math_dataset |
b'What is prob of picking 2 y when two letters picked without replacement from {y: 12, q: 1}?\n' | b'11/13\n' | b'What is prob of picking 2 y when two letters picked without replacement from {y: 12, q: 1}?\n' | b'11/13\n' | deepmind/math_dataset |
b'Suppose -4*t - 20 + 0 = 0, -t + 3 = 4*d. Solve -2 = 2*w, 0 = -4*i + d*w - 0*w - 14 for i.\n' | b'-4\n' | b'Suppose -4*t - 20 + 0 = 0, -t + 3 = 4*d. Solve -2 = 2*w, 0 = -4*i + d*w - 0*w - 14 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = -4*z - 5 - 3. Let q(a) = a**2. Give q(z).\n' | b'4\n' | b'Suppose 0 = -4*z - 5 - 3. Let q(a) = a**2. Give q(z).\n' | b'4\n' | deepmind/math_dataset |
b'Let m(c) = c**2 - 21*c + 42. Let j = -245 - -264. Let q be m(j). Solve q*x - 8 = 4*v, 10 = 4*x - 2 for v.\n' | b'1\n' | b'Let m(c) = c**2 - 21*c + 42. Let j = -245 - -264. Let q be m(j). Solve q*x - 8 = 4*v, 10 = 4*x - 2 for v.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 4, h: 7, y: 2}. Give prob of sequence vv.\n' | b'1/13\n' | b'Two letters picked without replacement from {v: 4, h: 7, y: 2}. Give prob of sequence vv.\n' | b'1/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 4, l: 16}. Give prob of sequence ll.\n' | b'12/19\n' | b'Two letters picked without replacement from {c: 4, l: 16}. Give prob of sequence ll.\n' | b'12/19\n' | deepmind/math_dataset |
b'What is prob of picking 3 g when three letters picked without replacement from xgxggggggxggxgxxxgg?\n' | b'220/969\n' | b'What is prob of picking 3 g when three letters picked without replacement from xgxggggggxggxgxxxgg?\n' | b'220/969\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 2 d when three letters picked without replacement from fddd.\n' | b'3/4\n' | b'Calculate prob of picking 1 f and 2 d when three letters picked without replacement from fddd.\n' | b'3/4\n' | deepmind/math_dataset |
b'What is the third derivative of -24*l**2 - 10*l**3 - 33*l**3 - 5*l**3 wrt l?\n' | b'-288\n' | b'What is the third derivative of -24*l**2 - 10*l**3 - 33*l**3 - 5*l**3 wrt l?\n' | b'-288\n' | deepmind/math_dataset |
b'Let u(o) = 1. Let a(n) = 4*n - 4. Let w(z) = -45*z + 45. Let b(m) = 54*a(m) + 5*w(m). Let i(f) = -b(f) - u(f). What is the derivative of i(h) wrt h?\n' | b'9\n' | b'Let u(o) = 1. Let a(n) = 4*n - 4. Let w(z) = -45*z + 45. Let b(m) = 54*a(m) + 5*w(m). Let i(f) = -b(f) - u(f). What is the derivative of i(h) wrt h?\n' | b'9\n' | deepmind/math_dataset |
b'Let d be ((-77)/28)/((-1)/(-8)). Let a = d - -25. Solve 3*w = 2*g + 5, 15 = -a*w + 8*w - 5*g for w.\n' | b'-1\n' | b'Let d be ((-77)/28)/((-1)/(-8)). Let a = d - -25. Solve 3*w = 2*g + 5, 15 = -a*w + 8*w - 5*g for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 5*x = 18 + 7. Differentiate 2 + 1 - x*t - 16 - t with respect to t.\n' | b'-6\n' | b'Suppose 5*x = 18 + 7. Differentiate 2 + 1 - x*t - 16 - t with respect to t.\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 3 m when four letters picked without replacement from {b: 1, c: 1, m: 4, r: 1, k: 1}?\n' | b'2/35\n' | b'What is prob of picking 1 k and 3 m when four letters picked without replacement from {b: 1, c: 1, m: 4, r: 1, k: 1}?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let o(u) = -1650*u**2 - 3430*u - 3. Let j(r) = -8253*r**2 - 17150*r - 16. Let l(q) = -3*j(q) + 16*o(q). What is the second derivative of l(n) wrt n?\n' | b'-3282\n' | b'Let o(u) = -1650*u**2 - 3430*u - 3. Let j(r) = -8253*r**2 - 17150*r - 16. Let l(q) = -3*j(q) + 16*o(q). What is the second derivative of l(n) wrt n?\n' | b'-3282\n' | deepmind/math_dataset |
b'Simplify u**(1/8)/u*u**(-1/3)*(u*u**(-3/8))**(-1/36) assuming u is positive.\n' | b'u**(-353/288)\n' | b'Simplify u**(1/8)/u*u**(-1/3)*(u*u**(-3/8))**(-1/36) assuming u is positive.\n' | b'u**(-353/288)\n' | deepmind/math_dataset |
b'Calculate prob of sequence fqf when three letters picked without replacement from {q: 3, j: 5, f: 2, n: 7}.\n' | b'1/680\n' | b'Calculate prob of sequence fqf when three letters picked without replacement from {q: 3, j: 5, f: 2, n: 7}.\n' | b'1/680\n' | deepmind/math_dataset |
b'Let k = -15001 - -15006. Solve 50*f + z - 9 = 54*f, k*f - 3*z = -6 for f.\n' | b'-3\n' | b'Let k = -15001 - -15006. Solve 50*f + z - 9 = 54*f, k*f - 3*z = -6 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -2*h + 7 - 23 = 0. Let c = h - -10. What is the second derivative of q + q + q - q**c + q wrt q?\n' | b'-2\n' | b'Suppose -2*h + 7 - 23 = 0. Let c = h - -10. What is the second derivative of q + q + q - q**c + q wrt q?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyhysysys. What is prob of sequence sy?\n' | b'5/24\n' | b'Two letters picked without replacement from yyhysysys. What is prob of sequence sy?\n' | b'5/24\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ggrrgvrggrvrrrrgr. Give prob of picking 2 v.\n' | b'1/136\n' | b'Two letters picked without replacement from ggrrgvrggrvrrrrgr. Give prob of picking 2 v.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let c(s) = 267*s**2 + 30*s - 317. Let p(d) = 268*d**2 + 23*d - 316. Let a(x) = 3*c(x) - 4*p(x). Find the second derivative of a(g) wrt g.\n' | b'-542\n' | b'Let c(s) = 267*s**2 + 30*s - 317. Let p(d) = 268*d**2 + 23*d - 316. Let a(x) = 3*c(x) - 4*p(x). Find the second derivative of a(g) wrt g.\n' | b'-542\n' | deepmind/math_dataset |
b'Let c(f) = 58*f**2 + 3*f. Let l(k) = k**2 + 2*k - 1. Let t(w) = -c(w) + 3*l(w). What is the second derivative of t(m) wrt m?\n' | b'-110\n' | b'Let c(f) = 58*f**2 + 3*f. Let l(k) = k**2 + 2*k - 1. Let t(w) = -c(w) + 3*l(w). What is the second derivative of t(m) wrt m?\n' | b'-110\n' | deepmind/math_dataset |
b'Simplify g*g/g**(1/15)*(g/(g*((g/(g*(g**(-2/17)/g)/g*g*g))/g)/g))/g assuming g is positive.\n' | b'g**(718/255)\n' | b'Simplify g*g/g**(1/15)*(g/(g*((g/(g*(g**(-2/17)/g)/g*g*g))/g)/g))/g assuming g is positive.\n' | b'g**(718/255)\n' | deepmind/math_dataset |
b'Let i(d) = 2*d**3 - 35 - d**3 + 0 + 31 - 5*d**2. Give i(6).\n' | b'32\n' | b'Let i(d) = 2*d**3 - 35 - d**3 + 0 + 31 - 5*d**2. Give i(6).\n' | b'32\n' | deepmind/math_dataset |
b'Four letters picked without replacement from chhoccochocchocohooo. Give prob of picking 4 c.\n' | b'7/969\n' | b'Four letters picked without replacement from chhoccochocchocohooo. Give prob of picking 4 c.\n' | b'7/969\n' | deepmind/math_dataset |
b'Simplify ((o**(2/7)/o)/o*o*o**(-2))**(1/2) assuming o is positive.\n' | b'o**(-19/14)\n' | b'Simplify ((o**(2/7)/o)/o*o*o**(-2))**(1/2) assuming o is positive.\n' | b'o**(-19/14)\n' | deepmind/math_dataset |
b'Let z(r) = r**2 - 13*r + 9. Let y be z(12). Let c be 4*(y + 10/(-2)). Let g = c + 52. Solve -o + 25 = -7*d + 2*d, 0 = 2*o - 4*d - g for o.\n' | b'0\n' | b'Let z(r) = r**2 - 13*r + 9. Let y be z(12). Let c be 4*(y + 10/(-2)). Let g = c + 52. Solve -o + 25 = -7*d + 2*d, 0 = 2*o - 4*d - g for o.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 n when two letters picked without replacement from nngngnnngnnnnngnnnn?\n' | b'20/57\n' | b'What is prob of picking 1 g and 1 n when two letters picked without replacement from nngngnnngnnnnngnnnn?\n' | b'20/57\n' | deepmind/math_dataset |
b'Simplify ((i*i**6)/i**7)/(i**(1/2)*i)**(-1/4)*(i/(i*i**(-1)))**(5/18)*(i**(-1))**(-1/2) assuming i is positive.\n' | b'i**(83/72)\n' | b'Simplify ((i*i**6)/i**7)/(i**(1/2)*i)**(-1/4)*(i/(i*i**(-1)))**(5/18)*(i**(-1))**(-1/2) assuming i is positive.\n' | b'i**(83/72)\n' | deepmind/math_dataset |
b'Let m(k) = 0*k**2 + 10 - 56*k + 57*k + 1 - 7*k**2. Let l(i) = -9*i**2 + i + 12. Let w(a) = -3*l(a) + 4*m(a). Calculate w(0).\n' | b'8\n' | b'Let m(k) = 0*k**2 + 10 - 56*k + 57*k + 1 - 7*k**2. Let l(i) = -9*i**2 + i + 12. Let w(a) = -3*l(a) + 4*m(a). Calculate w(0).\n' | b'8\n' | deepmind/math_dataset |
b'Let f be 132/(-36) + (-1)/3. Let a be 6*f/(-24)*2. Solve 5*v + 2*k = -14, -2*k - 4 = a*v - 2 for v.\n' | b'-4\n' | b'Let f be 132/(-36) + (-1)/3. Let a be 6*f/(-24)*2. Solve 5*v + 2*k = -14, -2*k - 4 = a*v - 2 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let o(r) be the third derivative of 227*r**5/20 + 29*r**3/2 - 70*r**2 - r. What is the derivative of o(u) wrt u?\n' | b'1362*u\n' | b'Let o(r) be the third derivative of 227*r**5/20 + 29*r**3/2 - 70*r**2 - r. What is the derivative of o(u) wrt u?\n' | b'1362*u\n' | deepmind/math_dataset |
b'Let d(s) = 2*s**2 - 2*s - 6. Suppose 0 = 13*i - 40 + 92. What is d(i)?\n' | b'34\n' | b'Let d(s) = 2*s**2 - 2*s - 6. Suppose 0 = 13*i - 40 + 92. What is d(i)?\n' | b'34\n' | deepmind/math_dataset |
b'Simplify (((k**(-6)/k)/(k**(-1/2)*k))/(k*k*k**(-2/5)*k)**(-3/5))**5 assuming k is positive.\n' | b'k**(-297/10)\n' | b'Simplify (((k**(-6)/k)/(k**(-1/2)*k))/(k*k*k**(-2/5)*k)**(-3/5))**5 assuming k is positive.\n' | b'k**(-297/10)\n' | deepmind/math_dataset |
b'Let w(b) = -b**5 + b**4 - b**3 - 1. Let k(x) = -x**5 - 4*x**4 + 4*x**3 - 4*x + 4. Let h(s) = -k(s) - 4*w(s). What is the second derivative of h(p) wrt p?\n' | b'100*p**3\n' | b'Let w(b) = -b**5 + b**4 - b**3 - 1. Let k(x) = -x**5 - 4*x**4 + 4*x**3 - 4*x + 4. Let h(s) = -k(s) - 4*w(s). What is the second derivative of h(p) wrt p?\n' | b'100*p**3\n' | deepmind/math_dataset |
b'Differentiate 435*u + 184 + 1084 - 296 wrt u.\n' | b'435\n' | b'Differentiate 435*u + 184 + 1084 - 296 wrt u.\n' | b'435\n' | deepmind/math_dataset |
b'Simplify (q**12/q)/q**(2/15)*q**(6/5)/q**7 assuming q is positive.\n' | b'q**(76/15)\n' | b'Simplify (q**12/q)/q**(2/15)*q**(6/5)/q**7 assuming q is positive.\n' | b'q**(76/15)\n' | deepmind/math_dataset |
b'Calculate prob of sequence wwqx when four letters picked without replacement from {q: 4, w: 6, x: 9}.\n' | b'15/1292\n' | b'Calculate prob of sequence wwqx when four letters picked without replacement from {q: 4, w: 6, x: 9}.\n' | b'15/1292\n' | deepmind/math_dataset |
b'Simplify ((k**(1/3))**(25/4)*k**0*k*k/(k/k**(3/10)))**36 assuming k is positive.\n' | b'k**(609/5)\n' | b'Simplify ((k**(1/3))**(25/4)*k**0*k*k/(k/k**(3/10)))**36 assuming k is positive.\n' | b'k**(609/5)\n' | deepmind/math_dataset |
b'Let m(h) be the second derivative of -h**9/1008 + h**5/20 - h**3 - 3*h. Let l(x) be the second derivative of m(x). What is the second derivative of l(c) wrt c?\n' | b'-60*c**3\n' | b'Let m(h) be the second derivative of -h**9/1008 + h**5/20 - h**3 - 3*h. Let l(x) be the second derivative of m(x). What is the second derivative of l(c) wrt c?\n' | b'-60*c**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence qq when two letters picked without replacement from fmqfqqqf.\n' | b'3/14\n' | b'Calculate prob of sequence qq when two letters picked without replacement from fmqfqqqf.\n' | b'3/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ggytgnt. What is prob of sequence tn?\n' | b'1/21\n' | b'Two letters picked without replacement from ggytgnt. What is prob of sequence tn?\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence avx when three letters picked without replacement from {x: 1, a: 1, v: 1}.\n' | b'1/6\n' | b'Calculate prob of sequence avx when three letters picked without replacement from {x: 1, a: 1, v: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((a**(-1)/a)**(-27/5))**(-1/9) assuming a is positive.\n' | b'a**(-6/5)\n' | b'Simplify ((a**(-1)/a)**(-27/5))**(-1/9) assuming a is positive.\n' | b'a**(-6/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {i: 3, s: 2, q: 4, m: 8}.\n' | b'6/85\n' | b'Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {i: 3, s: 2, q: 4, m: 8}.\n' | b'6/85\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 2, m: 3}. Give prob of picking 2 m.\n' | b'3/10\n' | b'Two letters picked without replacement from {k: 2, m: 3}. Give prob of picking 2 m.\n' | b'3/10\n' | deepmind/math_dataset |
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