question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Simplify (k**(2/15)*k**6*k**9*k**(-11)*k)**(2/11) assuming k is positive.\n' | b'k**(14/15)\n' | b'Simplify (k**(2/15)*k**6*k**9*k**(-11)*k)**(2/11) assuming k is positive.\n' | b'k**(14/15)\n' | deepmind/math_dataset |
b'Simplify (n*(n*(n/((n*n/n**(-2/7))/n))/n)/n)**8/(n/n**(-3/2)*n**(-5)/n) assuming n is positive.\n' | b'n**(17/14)\n' | b'Simplify (n*(n*(n/((n*n/n**(-2/7))/n))/n)/n)**8/(n/n**(-3/2)*n**(-5)/n) assuming n is positive.\n' | b'n**(17/14)\n' | deepmind/math_dataset |
b'Let j(f) = -2*f**2 + 27*f + 0*f**2 + 19*f - 1 + 30. Let m be j(23). Find the third derivative of m*w**2 - 10928 + 10928 + 11*w**6 wrt w.\n' | b'1320*w**3\n' | b'Let j(f) = -2*f**2 + 27*f + 0*f**2 + 19*f - 1 + 30. Let m be j(23). Find the third derivative of m*w**2 - 10928 + 10928 + 11*w**6 wrt w.\n' | b'1320*w**3\n' | deepmind/math_dataset |
b'Simplify (p**(-1/12)/p)**(-17/3) assuming p is positive.\n' | b'p**(221/36)\n' | b'Simplify (p**(-1/12)/p)**(-17/3) assuming p is positive.\n' | b'p**(221/36)\n' | deepmind/math_dataset |
b'Let z be 44/6 + (-3)/9. Let k = 9 - z. Let j(i) = -6*i. Give j(k).\n' | b'-12\n' | b'Let z be 44/6 + (-3)/9. Let k = 9 - z. Let j(i) = -6*i. Give j(k).\n' | b'-12\n' | deepmind/math_dataset |
b'Let m(u) = -u**2 - 7*u + 2. Let r be m(-7). Suppose 19 + 5 = 3*o. Let d be 2/o - (-2)/(-8). Solve p + 22 = -2*a + 5*p, r*a - 2*p + 14 = d for a.\n' | b'-3\n' | b'Let m(u) = -u**2 - 7*u + 2. Let r be m(-7). Suppose 19 + 5 = 3*o. Let d be 2/o - (-2)/(-8). Solve p + 22 = -2*a + 5*p, r*a - 2*p + 14 = d for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Let o be 0 + ((-4)/(-18))/((-1)/(-9)). Let v = 18 + -12. Suppose -5*a = 2*y - 3*y - 6, 3*y = 3*a + v. Solve 3*l + o*u = 5*l + 4, y*u = l + 11 for l.\n' | b'1\n' | b'Let o be 0 + ((-4)/(-18))/((-1)/(-9)). Let v = 18 + -12. Suppose -5*a = 2*y - 3*y - 6, 3*y = 3*a + v. Solve 3*l + o*u = 5*l + 4, y*u = l + 11 for l.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence kw when two letters picked without replacement from wkkkkkwkkvkkkvvkkwvk?\n' | b'39/380\n' | b'What is prob of sequence kw when two letters picked without replacement from wkkkkkwkkvkkkvvkkwvk?\n' | b'39/380\n' | deepmind/math_dataset |
b'Let h(r) = 5*r**3 + 14*r**2 + 9*r - 2. Let b be (-18)/9*(-7)/2. Let c(w) = -6*w**3 - 15*w**2 - 9*w + 1. Let v(d) = b*h(d) + 6*c(d). What is v(9)?\n' | b'-8\n' | b'Let h(r) = 5*r**3 + 14*r**2 + 9*r - 2. Let b be (-18)/9*(-7)/2. Let c(w) = -6*w**3 - 15*w**2 - 9*w + 1. Let v(d) = b*h(d) + 6*c(d). What is v(9)?\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from apjpftd. What is prob of picking 1 j and 1 t?\n' | b'1/21\n' | b'Two letters picked without replacement from apjpftd. What is prob of picking 1 j and 1 t?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let s(x) = x**3 + 14*x**2 - 14*x + 12. Let l be 2/29 + 874/(-58). Give s(l).\n' | b'-3\n' | b'Let s(x) = x**3 + 14*x**2 - 14*x + 12. Let l be 2/29 + 874/(-58). Give s(l).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oouuuouuoouuuouoouo. Give prob of picking 4 u.\n' | b'35/646\n' | b'Four letters picked without replacement from oouuuouuoouuuouoouo. Give prob of picking 4 u.\n' | b'35/646\n' | deepmind/math_dataset |
b'Let m(y) = -y - 4. Suppose 2*c = -3*g + 3*c + 12, 24 = 4*g - 4*c. Determine m(g).\n' | b'-7\n' | b'Let m(y) = -y - 4. Suppose 2*c = -3*g + 3*c + 12, 24 = 4*g - 4*c. Determine m(g).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 9}. Give prob of picking 4 r.\n' | b'1\n' | b'Four letters picked without replacement from {r: 9}. Give prob of picking 4 r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify w/((w*w**(13/3))/w)*w**8 assuming w is positive.\n' | b'w**(14/3)\n' | b'Simplify w/((w*w**(13/3))/w)*w**8 assuming w is positive.\n' | b'w**(14/3)\n' | deepmind/math_dataset |
b'Simplify (h**0/(h/(h/(h*h/(h/(h/h**(-5))))))*(h*h*(h*h**(1/3))/h*h)**(-1))/((h*h**(6/5))/h*h*h**1*(h/(((h/h**1)/h)/h))**(-10/3)) assuming h is positive.\n' | b'h**(-53/15)\n' | b'Simplify (h**0/(h/(h/(h*h/(h/(h/h**(-5))))))*(h*h*(h*h**(1/3))/h*h)**(-1))/((h*h**(6/5))/h*h*h**1*(h/(((h/h**1)/h)/h))**(-10/3)) assuming h is positive.\n' | b'h**(-53/15)\n' | deepmind/math_dataset |
b'Let r be (-14)/(-6) - 2/6. What is the first derivative of r*f**3 - 4*f**3 + 0 + 3 wrt f?\n' | b'-6*f**2\n' | b'Let r be (-14)/(-6) - 2/6. What is the first derivative of r*f**3 - 4*f**3 + 0 + 3 wrt f?\n' | b'-6*f**2\n' | deepmind/math_dataset |
b'Let m(s) = 0*s**3 - 1 - 5*s**3 - 11*s + 12*s. Let k(p) = -6*p**2 - 3*p**3 + 4*p**3 - 3 + 2*p**2 + p. Let v be k(4). Determine m(v).\n' | b'-5\n' | b'Let m(s) = 0*s**3 - 1 - 5*s**3 - 11*s + 12*s. Let k(p) = -6*p**2 - 3*p**3 + 4*p**3 - 3 + 2*p**2 + p. Let v be k(4). Determine m(v).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((k/((k**(-1)*k*k)/k))/(k/(k/k**(-2/5))))**(2/31)/(k**(-2/3)/k**(3/4))**(-29) assuming k is positive.\n' | b'k**(-76247/1860)\n' | b'Simplify ((k/((k**(-1)*k*k)/k))/(k/(k/k**(-2/5))))**(2/31)/(k**(-2/3)/k**(3/4))**(-29) assuming k is positive.\n' | b'k**(-76247/1860)\n' | deepmind/math_dataset |
b'Let y(z) = 12*z - 1. Let o be y(1). Let a = o + -8. Let s(v) = 137*v - v**3 - 2*v**2 + 6*v**2 - 138*v. What is s(a)?\n' | b'6\n' | b'Let y(z) = 12*z - 1. Let o be y(1). Let a = o + -8. Let s(v) = 137*v - v**3 - 2*v**2 + 6*v**2 - 138*v. What is s(a)?\n' | b'6\n' | deepmind/math_dataset |
b'Let b(i) = 0*i + 4*i + 0*i + 9 - 5*i**2. Let h(u) = -14*u**2 + 11*u + 26. Let o(s) = -11*b(s) + 4*h(s). What is o(-4)?\n' | b'-11\n' | b'Let b(i) = 0*i + 4*i + 0*i + 9 - 5*i**2. Let h(u) = -14*u**2 + 11*u + 26. Let o(s) = -11*b(s) + 4*h(s). What is o(-4)?\n' | b'-11\n' | deepmind/math_dataset |
b'Suppose 3*b + 0*b - 61 = -x, -5*x - 73 = -3*b. Suppose 6*v = -v + b. Let m be (-1 - 1)*10/5 + v. Let d(o) = -3*o**3 - o**2 + 1. Calculate d(m).\n' | b'3\n' | b'Suppose 3*b + 0*b - 61 = -x, -5*x - 73 = -3*b. Suppose 6*v = -v + b. Let m be (-1 - 1)*10/5 + v. Let d(o) = -3*o**3 - o**2 + 1. Calculate d(m).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from {r: 6, x: 4}?\n' | b'2/15\n' | b'What is prob of picking 2 x when two letters picked without replacement from {r: 6, x: 4}?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let n(y) = 9*y - 3. Let a be n(2). Let z = a + -21. Let q(b) = -4*b**2 + 15*b + 30. Let p(c) = c**2 - 5*c - 8. Let h(w) = 7*p(w) + 2*q(w). Determine h(z).\n' | b'-2\n' | b'Let n(y) = 9*y - 3. Let a be n(2). Let z = a + -21. Let q(b) = -4*b**2 + 15*b + 30. Let p(c) = c**2 - 5*c - 8. Let h(w) = 7*p(w) + 2*q(w). Determine h(z).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (q/(q**12/q)*q)/(q/(q/(q*q**(1/19)))*q) assuming q is positive.\n' | b'q**(-210/19)\n' | b'Simplify (q/(q**12/q)*q)/(q/(q/(q*q**(1/19)))*q) assuming q is positive.\n' | b'q**(-210/19)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ppmp when four letters picked without replacement from {m: 3, p: 9}.\n' | b'7/55\n' | b'Calculate prob of sequence ppmp when four letters picked without replacement from {m: 3, p: 9}.\n' | b'7/55\n' | deepmind/math_dataset |
b'Let v(g) be the third derivative of -g**6/120 - 13*g**5/60 - 14*g**2. Find the third derivative of v(h) wrt h.\n' | b'-6\n' | b'Let v(g) be the third derivative of -g**6/120 - 13*g**5/60 - 14*g**2. Find the third derivative of v(h) wrt h.\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((t/t**(-23))/t*t)/t**(9/4))/(t/(t*(t/t**(-5/4))/t))**(3/10) assuming t is positive.\n' | b't**(177/8)\n' | b'Simplify (((t/t**(-23))/t*t)/t**(9/4))/(t/(t*(t/t**(-5/4))/t))**(3/10) assuming t is positive.\n' | b't**(177/8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbbjbycj. What is prob of picking 1 b and 1 y?\n' | b'1/7\n' | b'Two letters picked without replacement from bbbjbycj. What is prob of picking 1 b and 1 y?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let u(m) = -15*m - 16. Let q(a) = -4*a - 81. Let w be q(-22). Calculate u(w).\n' | b'-121\n' | b'Let u(m) = -15*m - 16. Let q(a) = -4*a - 81. Let w be q(-22). Calculate u(w).\n' | b'-121\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 1, e: 3, u: 3, b: 6, n: 1}. What is prob of picking 3 b and 1 e?\n' | b'60/1001\n' | b'Four letters picked without replacement from {l: 1, e: 3, u: 3, b: 6, n: 1}. What is prob of picking 3 b and 1 e?\n' | b'60/1001\n' | deepmind/math_dataset |
b'Let k be (-24)/(-1) - (-24)/6. Let l = k - 23. Find the second derivative of -7*m**l + 22*m - 4*m - 8*m wrt m.\n' | b'-140*m**3\n' | b'Let k be (-24)/(-1) - (-24)/6. Let l = k - 23. Find the second derivative of -7*m**l + 22*m - 4*m - 8*m wrt m.\n' | b'-140*m**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 1 q, and 1 e when three letters picked without replacement from zjezezleeeq?\n' | b'1/11\n' | b'What is prob of picking 1 z, 1 q, and 1 e when three letters picked without replacement from zjezezleeeq?\n' | b'1/11\n' | deepmind/math_dataset |
b'Simplify (q**(-4))**41*q**17/(q/((q*q*q*q**(-4/9))/q*q*q)) assuming q is positive.\n' | b'q**(-1300/9)\n' | b'Simplify (q**(-4))**41*q**17/(q/((q*q*q*q**(-4/9))/q*q*q)) assuming q is positive.\n' | b'q**(-1300/9)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 3, m: 1}. Give prob of sequence qm.\n' | b'1/4\n' | b'Two letters picked without replacement from {q: 3, m: 1}. Give prob of sequence qm.\n' | b'1/4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnppjqpppnjopppnp. Give prob of picking 2 j and 1 q.\n' | b'1/680\n' | b'Three letters picked without replacement from nnppjqpppnjopppnp. Give prob of picking 2 j and 1 q.\n' | b'1/680\n' | deepmind/math_dataset |
b'Let o(n) = -n**3 + 9*n**2 + 9*n + 12. Let s be o(10). Let p = 2 + 0. Differentiate -3*j**2 - 2 - j**p + 7 + 5*j**s with respect to j.\n' | b'2*j\n' | b'Let o(n) = -n**3 + 9*n**2 + 9*n + 12. Let s be o(10). Let p = 2 + 0. Differentiate -3*j**2 - 2 - j**p + 7 + 5*j**s with respect to j.\n' | b'2*j\n' | deepmind/math_dataset |
b'Simplify (b*b**(2/5)*b**(2/49))**10 assuming b is positive.\n' | b'b**(706/49)\n' | b'Simplify (b*b**(2/5)*b**(2/49))**10 assuming b is positive.\n' | b'b**(706/49)\n' | deepmind/math_dataset |
b'Simplify t**2*(t/(t**3/t))/t*t**(3/2)/t**(-1/4) assuming t is positive.\n' | b't**(7/4)\n' | b'Simplify t**2*(t/(t**3/t))/t*t**(3/2)/t**(-1/4) assuming t is positive.\n' | b't**(7/4)\n' | deepmind/math_dataset |
b'Let h(k) = -3*k - 4. Let m(b) = -b**2 + b + 1. Let d(z) = h(z) + 3*m(z). Let n(p) = p**3 + p**2 - 2*p + 1. Let o be n(1). Give d(o).\n' | b'-4\n' | b'Let h(k) = -3*k - 4. Let m(b) = -b**2 + b + 1. Let d(z) = h(z) + 3*m(z). Let n(p) = p**3 + p**2 - 2*p + 1. Let o be n(1). Give d(o).\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(m) = -4*m**3 + 3*m - 7. Let j(y) = -y + 1. Suppose -3*x = -2*x. Let o = -3 - x. Let k(d) = o*j(d) - f(d). Differentiate k(c) wrt c.\n' | b'12*c**2\n' | b'Let f(m) = -4*m**3 + 3*m - 7. Let j(y) = -y + 1. Suppose -3*x = -2*x. Let o = -3 - x. Let k(d) = o*j(d) - f(d). Differentiate k(c) wrt c.\n' | b'12*c**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cccnsctnssccqcsn. What is prob of picking 1 t and 1 c?\n' | b'7/120\n' | b'Two letters picked without replacement from cccnsctnssccqcsn. What is prob of picking 1 t and 1 c?\n' | b'7/120\n' | deepmind/math_dataset |
b'Let y(t) be the second derivative of -t**7/840 + t**6/180 + t**3/6 + 5*t. Let c(v) be the second derivative of y(v). Find the third derivative of c(z) wrt z.\n' | b'-6\n' | b'Let y(t) be the second derivative of -t**7/840 + t**6/180 + t**3/6 + 5*t. Let c(v) be the second derivative of y(v). Find the third derivative of c(z) wrt z.\n' | b'-6\n' | deepmind/math_dataset |
b'Let d(o) = -o - 2. Let n(b) = -2*b - 1. Let m(w) = 3*d(w) - 2*n(w). Determine m(9).\n' | b'5\n' | b'Let d(o) = -o - 2. Let n(b) = -2*b - 1. Let m(w) = 3*d(w) - 2*n(w). Determine m(9).\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from utrutzwtcuz. Give prob of sequence zz.\n' | b'1/55\n' | b'Two letters picked without replacement from utrutzwtcuz. Give prob of sequence zz.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let b be (-38)/(-14) - 22/(-77). Solve 4*f + f - b*o + 9 = 0, 0 = 5*f + 2*o - 6 for f.\n' | b'0\n' | b'Let b be (-38)/(-14) - 22/(-77). Solve 4*f + f - b*o + 9 = 0, 0 = 5*f + 2*o - 6 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 4, j: 3, d: 1, s: 3, t: 5, u: 4}. Give prob of sequence utpd.\n' | b'2/2907\n' | b'Four letters picked without replacement from {p: 4, j: 3, d: 1, s: 3, t: 5, u: 4}. Give prob of sequence utpd.\n' | b'2/2907\n' | deepmind/math_dataset |
b'Let x(g) = g**2 - 12*g - 42. Let l be x(15). Solve 0*y = 2*y + 3*w + 9, 5*y = -l*w for y.\n' | b'3\n' | b'Let x(g) = g**2 - 12*g - 42. Let l be x(15). Solve 0*y = 2*y + 3*w + 9, 5*y = -l*w for y.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((q**(-3/5)*q/q**0)/((q/((q*q**(1/16))/q))/q**(-3/13)))**15 assuming q is positive.\n' | b'q**(-2397/208)\n' | b'Simplify ((q**(-3/5)*q/q**0)/((q/((q*q**(1/16))/q))/q**(-3/13)))**15 assuming q is positive.\n' | b'q**(-2397/208)\n' | deepmind/math_dataset |
b'Simplify (i*i**(-1/8))**40*i**16*i/i**(2/53) assuming i is positive.\n' | b'i**(2754/53)\n' | b'Simplify (i*i**(-1/8))**40*i**16*i/i**(2/53) assuming i is positive.\n' | b'i**(2754/53)\n' | deepmind/math_dataset |
b'Simplify (f**(2/17)/f**6)/(f**(-9)*f*f*f**4) assuming f is positive.\n' | b'f**(-49/17)\n' | b'Simplify (f**(2/17)/f**6)/(f**(-9)*f*f*f**4) assuming f is positive.\n' | b'f**(-49/17)\n' | deepmind/math_dataset |
b'Let p = 58 - 56. Solve -g + 3 = r, -3*r = 2*g - p - 8 for g.\n' | b'-1\n' | b'Let p = 58 - 56. Solve -g + 3 = r, -3*r = 2*g - p - 8 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((v**(-6/11)*v*v**(-2/3))/(v**(-3))**(9/7))**(2/135) assuming v is positive.\n' | b'v**(1684/31185)\n' | b'Simplify ((v**(-6/11)*v*v**(-2/3))/(v**(-3))**(9/7))**(2/135) assuming v is positive.\n' | b'v**(1684/31185)\n' | deepmind/math_dataset |
b'Let i(r) = r**2 + 3*r + 14. Let d be i(0). Suppose -l + d = -31. Let j = l - 31. Solve -5*u + 5*y - 30 = 0, u = 6*y - y - j for u.\n' | b'-4\n' | b'Let i(r) = r**2 + 3*r + 14. Let d be i(0). Suppose -l + d = -31. Let j = l - 31. Solve -5*u + 5*y - 30 = 0, u = 6*y - y - j for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 5, n: 5, h: 1}. What is prob of sequence nn?\n' | b'2/11\n' | b'Two letters picked without replacement from {d: 5, n: 5, h: 1}. What is prob of sequence nn?\n' | b'2/11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 5, s: 13}. What is prob of picking 2 s?\n' | b'26/51\n' | b'Two letters picked without replacement from {k: 5, s: 13}. What is prob of picking 2 s?\n' | b'26/51\n' | deepmind/math_dataset |
b'Let l = -61 + 60. Let o(c) = -6. Let s(j) = -j. Let z(n) = l*s(n) - o(n). Suppose -w + 3*v = -6, 2*v - 1 = -9. Give z(w).\n' | b'0\n' | b'Let l = -61 + 60. Let o(c) = -6. Let s(j) = -j. Let z(n) = l*s(n) - o(n). Suppose -w + 3*v = -6, 2*v - 1 = -9. Give z(w).\n' | b'0\n' | deepmind/math_dataset |
b'Let o(w) = -w**3 + 7*w**2 - 16*w + 26. Let b be o(5). Let v be 2 - 4/((-16)/b) - 1. Let y(h) = h + 12. What is y(v)?\n' | b'12\n' | b'Let o(w) = -w**3 + 7*w**2 - 16*w + 26. Let b be o(5). Let v be 2 - 4/((-16)/b) - 1. Let y(h) = h + 12. What is y(v)?\n' | b'12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aaaaaddaada. Give prob of picking 4 d.\n' | b'0\n' | b'Four letters picked without replacement from aaaaaddaada. Give prob of picking 4 d.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = c - 3*u - 29, 2*c - 4*u = -0*c + 52. Let f = c - 6. Suppose 2 = y - h + 1, 2*y + h - f = 0. Solve 5*s + 11 = -x + 4*x, -5*s + 5*x = y for s.\n' | b'-4\n' | b'Suppose 0 = c - 3*u - 29, 2*c - 4*u = -0*c + 52. Let f = c - 6. Suppose 2 = y - h + 1, 2*y + h - f = 0. Solve 5*s + 11 = -x + 4*x, -5*s + 5*x = y for s.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 3 p and 1 e when four letters picked without replacement from {e: 10, p: 4}?\n' | b'40/1001\n' | b'What is prob of picking 3 p and 1 e when four letters picked without replacement from {e: 10, p: 4}?\n' | b'40/1001\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xhxhhlxxlhl. Give prob of sequence lh.\n' | b'6/55\n' | b'Two letters picked without replacement from xhxhhlxxlhl. Give prob of sequence lh.\n' | b'6/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uakauaoao. Give prob of sequence uok.\n' | b'1/126\n' | b'Three letters picked without replacement from uakauaoao. Give prob of sequence uok.\n' | b'1/126\n' | deepmind/math_dataset |
b'What is the derivative of -2425 + 157322*y - 6668 - 158012*y wrt y?\n' | b'-690\n' | b'What is the derivative of -2425 + 157322*y - 6668 - 158012*y wrt y?\n' | b'-690\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, a: 1, d: 1, c: 1, k: 1, j: 1}. What is prob of picking 1 j, 1 a, and 1 k?\n' | b'1/35\n' | b'Three letters picked without replacement from {u: 2, a: 1, d: 1, c: 1, k: 1, j: 1}. What is prob of picking 1 j, 1 a, and 1 k?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify z**(-6)*z/(z**(2/3)/z*z) assuming z is positive.\n' | b'z**(-17/3)\n' | b'Simplify z**(-6)*z/(z**(2/3)/z*z) assuming z is positive.\n' | b'z**(-17/3)\n' | deepmind/math_dataset |
b'Let k be (2 - (5 + 3))/(-1 - 0). Let c(t) = -t**3 + t**2 - 1. Let h(l) = 5*l**3 - 9*l**2 - 9*l + 12. Let n(d) = -4*c(d) - h(d). Calculate n(k).\n' | b'10\n' | b'Let k be (2 - (5 + 3))/(-1 - 0). Let c(t) = -t**3 + t**2 - 1. Let h(l) = 5*l**3 - 9*l**2 - 9*l + 12. Let n(d) = -4*c(d) - h(d). Calculate n(k).\n' | b'10\n' | deepmind/math_dataset |
b'Let g(w) = w**5 - 3*w**4 + 16*w + 3. Let c(h) = -h**5 + 7*h**4 - 32*h - 7. Let f(q) = 3*c(q) + 7*g(q). What is the second derivative of f(r) wrt r?\n' | b'80*r**3\n' | b'Let g(w) = w**5 - 3*w**4 + 16*w + 3. Let c(h) = -h**5 + 7*h**4 - 32*h - 7. Let f(q) = 3*c(q) + 7*g(q). What is the second derivative of f(r) wrt r?\n' | b'80*r**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from {x: 1, z: 1, q: 1}.\n' | b'0\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from {x: 1, z: 1, q: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(k) = 3*k**2 + 7*k + 11. Let o(y) = -174*y - 1397. Let v be o(-8). Calculate r(v).\n' | b'51\n' | b'Let r(k) = 3*k**2 + 7*k + 11. Let o(y) = -174*y - 1397. Let v be o(-8). Calculate r(v).\n' | b'51\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 b when two letters picked without replacement from {e: 1, w: 1, u: 1, x: 1, b: 2, s: 1}?\n' | b'2/21\n' | b'What is prob of picking 1 u and 1 b when two letters picked without replacement from {e: 1, w: 1, u: 1, x: 1, b: 2, s: 1}?\n' | b'2/21\n' | deepmind/math_dataset |
b'What is prob of sequence hyg when three letters picked without replacement from {l: 3, g: 1, h: 1, j: 1, y: 1}?\n' | b'1/210\n' | b'What is prob of sequence hyg when three letters picked without replacement from {l: 3, g: 1, h: 1, j: 1, y: 1}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let p(k) = 5*k + 124517*k**2 + 124514*k**2 + 0*k - 249035*k**2 + 11. What is p(-3)?\n' | b'-40\n' | b'Let p(k) = 5*k + 124517*k**2 + 124514*k**2 + 0*k - 249035*k**2 + 11. What is p(-3)?\n' | b'-40\n' | deepmind/math_dataset |
b'What is the second derivative of h**2 - 7*h**2 - 50*h + 15*h**2 wrt h?\n' | b'18\n' | b'What is the second derivative of h**2 - 7*h**2 - 50*h + 15*h**2 wrt h?\n' | b'18\n' | deepmind/math_dataset |
b'Let a(g) be the second derivative of g - 4/21*g**7 - 3/2*g**4 + 0*g**5 + 0*g**6 + 0 + 0*g**3 + 0*g**2. Find the third derivative of a(q) wrt q.\n' | b'-480*q**2\n' | b'Let a(g) be the second derivative of g - 4/21*g**7 - 3/2*g**4 + 0*g**5 + 0*g**6 + 0 + 0*g**3 + 0*g**2. Find the third derivative of a(q) wrt q.\n' | b'-480*q**2\n' | deepmind/math_dataset |
b'Let t(h) = h + 1. Let v(r) = 3*r - 15 + 3 + 4. Let l(u) = -5*t(u) + v(u). Let n be l(-9). Solve 0*p - 15 = s + 4*p, n*s = -5*p for s.\n' | b'5\n' | b'Let t(h) = h + 1. Let v(r) = 3*r - 15 + 3 + 4. Let l(u) = -5*t(u) + v(u). Let n be l(-9). Solve 0*p - 15 = s + 4*p, n*s = -5*p for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(s) be the third derivative of 4 + 0*s + 0*s**4 + 0*s**5 + 0*s**6 - 6*s**2 + 5/2*s**3 - 3/35*s**7. Differentiate w(j) wrt j.\n' | b'-72*j**3\n' | b'Let w(s) be the third derivative of 4 + 0*s + 0*s**4 + 0*s**5 + 0*s**6 - 6*s**2 + 5/2*s**3 - 3/35*s**7. Differentiate w(j) wrt j.\n' | b'-72*j**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnttnuntstn. Give prob of picking 2 t and 1 n.\n' | b'2/11\n' | b'Three letters picked without replacement from nnttnuntstn. Give prob of picking 2 t and 1 n.\n' | b'2/11\n' | deepmind/math_dataset |
b'Let k(d) = d**3 + 10*d**2 + 12*d + 29. Let i be k(-9). Let w(q) = 125 + 5*q - 5*q**i + q**3 - 133 - 4*q. What is w(5)?\n' | b'-3\n' | b'Let k(d) = d**3 + 10*d**2 + 12*d + 29. Let i be k(-9). Let w(q) = 125 + 5*q - 5*q**i + q**3 - 133 - 4*q. What is w(5)?\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 1 w when three letters picked without replacement from {k: 6, w: 2}?\n' | b'15/28\n' | b'What is prob of picking 2 k and 1 w when three letters picked without replacement from {k: 6, w: 2}?\n' | b'15/28\n' | deepmind/math_dataset |
b'Let m = -119 + 117. Let x(i) = i**2 + i - 1. Let r(p) = -16*p**4 + 14*p**2 - 3*p + 3. Let d(f) = m*r(f) - 6*x(f). What is the third derivative of d(c) wrt c?\n' | b'768*c\n' | b'Let m = -119 + 117. Let x(i) = i**2 + i - 1. Let r(p) = -16*p**4 + 14*p**2 - 3*p + 3. Let d(f) = m*r(f) - 6*x(f). What is the third derivative of d(c) wrt c?\n' | b'768*c\n' | deepmind/math_dataset |
b'Suppose 19 - 10 = 3*t + 3*w, 0 = -4*t - 5*w + 10. Solve t*m + 19 = -d, -m = 5*d + 2*m + 29 for d.\n' | b'-4\n' | b'Suppose 19 - 10 = 3*t + 3*w, 0 = -4*t - 5*w + 10. Solve t*m + 19 = -d, -m = 5*d + 2*m + 29 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let a(u) be the second derivative of 119/6*u**4 - 13/5*u**5 + 0*u**2 + 0 + 0*u**3 - 151*u. What is the third derivative of a(x) wrt x?\n' | b'-312\n' | b'Let a(u) be the second derivative of 119/6*u**4 - 13/5*u**5 + 0*u**2 + 0 + 0*u**3 - 151*u. What is the third derivative of a(x) wrt x?\n' | b'-312\n' | deepmind/math_dataset |
b'Let t be 5 - (2 + -2) - 1. Let h(b) = -b**2 - 9*b - 16. Let a be h(-5). Solve 3*c = t*w + 27, 3*w - c - 6 = -a*c for w.\n' | b'-3\n' | b'Let t be 5 - (2 + -2) - 1. Let h(b) = -b**2 - 9*b - 16. Let a be h(-5). Solve 3*c = t*w + 27, 3*w - c - 6 = -a*c for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Let h(g) = 90*g**4 - g**3 - 18*g**2 + 8681. Let u(r) = 5*r**2. Let d(t) = h(t) + 4*u(t). Find the first derivative of d(b) wrt b.\n' | b'360*b**3 - 3*b**2 + 4*b\n' | b'Let h(g) = 90*g**4 - g**3 - 18*g**2 + 8681. Let u(r) = 5*r**2. Let d(t) = h(t) + 4*u(t). Find the first derivative of d(b) wrt b.\n' | b'360*b**3 - 3*b**2 + 4*b\n' | deepmind/math_dataset |
b'Suppose 0*k = 9*k - 36. Solve q + 3*q + 2*h - 10 = 0, 3*h = k*q - 15 for q.\n' | b'3\n' | b'Suppose 0*k = 9*k - 36. Solve q + 3*q + 2*h - 10 = 0, 3*h = k*q - 15 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(t) = t - 3. Suppose -2*y = k - 5*k - 18, 4*y - 3*k = 11. Let l be 18/(-4) - y/2. Give x(l).\n' | b'-7\n' | b'Let x(t) = t - 3. Suppose -2*y = k - 5*k - 18, 4*y - 3*k = 11. Let l be 18/(-4) - y/2. Give x(l).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 5*v = v + 20. Solve 2*c + 3*k = 2*k, -10 = v*k for c.\n' | b'1\n' | b'Suppose 5*v = v + 20. Solve 2*c + 3*k = 2*k, -10 = v*k for c.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ooj when three letters picked without replacement from {j: 1, o: 3}.\n' | b'1/4\n' | b'Calculate prob of sequence ooj when three letters picked without replacement from {j: 1, o: 3}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let m = -1 + 3. Suppose 2*a = -4*x, -1 = 3*a + m*x - 5. Suppose 42 = 2*j + 3*d, a*j + 4*d - 3 = 41. Solve 3*y + j = 6*y + u, -u = -3*y + 12 for y.\n' | b'5\n' | b'Let m = -1 + 3. Suppose 2*a = -4*x, -1 = 3*a + m*x - 5. Suppose 42 = 2*j + 3*d, a*j + 4*d - 3 = 41. Solve 3*y + j = 6*y + u, -u = -3*y + 12 for y.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((f**(4/3)/(f/f**(-1/2)))/(f**(-2)/(f**0*f)))/(f/(((f*(f*f*f**(2/3)/f)/f)/f)/f)*f**(1/5)/f)**(6/5) assuming f is positive.\n' | b'f**(329/150)\n' | b'Simplify ((f**(4/3)/(f/f**(-1/2)))/(f**(-2)/(f**0*f)))/(f/(((f*(f*f*f**(2/3)/f)/f)/f)/f)*f**(1/5)/f)**(6/5) assuming f is positive.\n' | b'f**(329/150)\n' | deepmind/math_dataset |
b'Simplify (r**(2/3)*r**(-11/4))/(r/(r**3*r)*r)**(-46) assuming r is positive.\n' | b'r**(-1129/12)\n' | b'Simplify (r**(2/3)*r**(-11/4))/(r/(r**3*r)*r)**(-46) assuming r is positive.\n' | b'r**(-1129/12)\n' | deepmind/math_dataset |
b'Let f(g) = -437 - 427 + 1300 + g - 439. Suppose 4*p + 14 = -10. Determine f(p).\n' | b'-9\n' | b'Let f(g) = -437 - 427 + 1300 + g - 439. Suppose 4*p + 14 = -10. Determine f(p).\n' | b'-9\n' | deepmind/math_dataset |
b'Let t(k) be the third derivative of k**4/24 - 2*k**3/3 + k**2 - 264*k + 20. Suppose 0*y - 13 = 3*u + y, u + 23 = -5*y. Give t(u).\n' | b'-7\n' | b'Let t(k) be the third derivative of k**4/24 - 2*k**3/3 + k**2 - 264*k + 20. Suppose 0*y - 13 = 3*u + y, u + 23 = -5*y. Give t(u).\n' | b'-7\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 4, g: 2, h: 10}. Give prob of picking 1 g and 1 h.\n' | b'1/6\n' | b'Two letters picked without replacement from {f: 4, g: 2, h: 10}. Give prob of picking 1 g and 1 h.\n' | b'1/6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vmmmmddmddvmmvmmmm. Give prob of picking 1 v and 2 d.\n' | b'3/136\n' | b'Three letters picked without replacement from vmmmmddmddvmmvmmmm. Give prob of picking 1 v and 2 d.\n' | b'3/136\n' | deepmind/math_dataset |
b'Let h(y) = 2*y - 117 + 117. Let s = -89 + 152. Let l be (-1)/(-2) + s/(-14). What is h(l)?\n' | b'-8\n' | b'Let h(y) = 2*y - 117 + 117. Let s = -89 + 152. Let l be (-1)/(-2) + s/(-14). What is h(l)?\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fqqbfcd. Give prob of sequence qbfq.\n' | b'1/210\n' | b'Four letters picked without replacement from fqqbfcd. Give prob of sequence qbfq.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let q = 1 + 0. Let r(w) = -2*w + 4*w**2 - 4 + q + 3*w. Let y(a) = a**2 - a + 1. Let d(f) = r(f) + 2*y(f). What is d(-1)?\n' | b'6\n' | b'Let q = 1 + 0. Let r(w) = -2*w + 4*w**2 - 4 + q + 3*w. Let y(a) = a**2 - a + 1. Let d(f) = r(f) + 2*y(f). What is d(-1)?\n' | b'6\n' | deepmind/math_dataset |
b'Let i = 10 - -56. Suppose -5*f = q - 10*f + 3, -2*f = 5*q - i. Solve 0 = x - 5*x + 2*s - 8, 3*s = -q for x.\n' | b'-4\n' | b'Let i = 10 - -56. Suppose -5*f = q - 10*f + 3, -2*f = 5*q - i. Solve 0 = x - 5*x + 2*s - 8, 3*s = -q for x.\n' | b'-4\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.