question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'What is prob of picking 4 m when four letters picked without replacement from {o: 6, k: 2, m: 5}?\n' | b'1/143\n' | b'What is prob of picking 4 m when four letters picked without replacement from {o: 6, k: 2, m: 5}?\n' | b'1/143\n' | deepmind/math_dataset |
b'Let d(u) be the second derivative of u**9/504 - u**5/120 + u**3/6 - 3*u. Let n(m) be the second derivative of d(m). Find the second derivative of n(y) wrt y.\n' | b'120*y**3\n' | b'Let d(u) be the second derivative of u**9/504 - u**5/120 + u**3/6 - 3*u. Let n(m) be the second derivative of d(m). Find the second derivative of n(y) wrt y.\n' | b'120*y**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 u, 1 m, and 1 x when three letters picked without replacement from wmxuwtxjt?\n' | b'1/42\n' | b'What is prob of picking 1 u, 1 m, and 1 x when three letters picked without replacement from wmxuwtxjt?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let t(d) = 5 + 0*d**2 + 3*d**3 - 2*d**3 - 3*d**2 - 6*d. Suppose -3*k = 2 + 1. Let s be 14/4 - k/2. Calculate t(s).\n' | b'-3\n' | b'Let t(d) = 5 + 0*d**2 + 3*d**3 - 2*d**3 - 3*d**2 - 6*d. Suppose -3*k = 2 + 1. Let s be 14/4 - k/2. Calculate t(s).\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(i) = -2*i + 5. Let b(l) = -17*l**2 - 5*l - 11*l**2 + 29*l**2 - l + 14. Let g(y) = 6*b(y) - 17*z(y). Find the second derivative of g(a) wrt a.\n' | b'12\n' | b'Let z(i) = -2*i + 5. Let b(l) = -17*l**2 - 5*l - 11*l**2 + 29*l**2 - l + 14. Let g(y) = 6*b(y) - 17*z(y). Find the second derivative of g(a) wrt a.\n' | b'12\n' | deepmind/math_dataset |
b'Let p = 45 - 20. Differentiate -p*y**3 + 5 - 1 + 24*y**3 with respect to y.\n' | b'-3*y**2\n' | b'Let p = 45 - 20. Differentiate -p*y**3 + 5 - 1 + 24*y**3 with respect to y.\n' | b'-3*y**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from rojjrooojrooorrjooo?\n' | b'2/57\n' | b'What is prob of picking 2 j when two letters picked without replacement from rojjrooojrooorrjooo?\n' | b'2/57\n' | deepmind/math_dataset |
b'Let x(c) be the second derivative of 0*c**5 + 0*c**7 + 0*c**3 + 8*c + 0*c**2 + 1/14*c**8 + 0*c**6 + 0 - 7/12*c**4. What is the third derivative of x(y) wrt y?\n' | b'480*y**3\n' | b'Let x(c) be the second derivative of 0*c**5 + 0*c**7 + 0*c**3 + 8*c + 0*c**2 + 1/14*c**8 + 0*c**6 + 0 - 7/12*c**4. What is the third derivative of x(y) wrt y?\n' | b'480*y**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jjjjjtjjjjjjjjjjtjtj.\n' | b'51/190\n' | b'Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jjjjjtjjjjjjjjjjtjtj.\n' | b'51/190\n' | deepmind/math_dataset |
b'Suppose -3*u + 2 = 2*f, 3*u = 2*f + f - 3. Suppose -15*b + 75 + 120 = u. Solve 6*o = -4*j + o - 14, b = -5*j - 4*o for j.\n' | b'-1\n' | b'Suppose -3*u + 2 = 2*f, 3*u = 2*f + f - 3. Suppose -15*b + 75 + 120 = u. Solve 6*o = -4*j + o - 14, b = -5*j - 4*o for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify f**(-2/19)/(f*f**2) assuming f is positive.\n' | b'f**(-59/19)\n' | b'Simplify f**(-2/19)/(f*f**2) assuming f is positive.\n' | b'f**(-59/19)\n' | deepmind/math_dataset |
b'What is prob of sequence yiar when four letters picked without replacement from yfariyh?\n' | b'1/420\n' | b'What is prob of sequence yiar when four letters picked without replacement from yfariyh?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let f(u) = -u - 4. Let k be f(-8). Let t be 1 - (1 - 2) - -1. Suppose -2*x - n - 5 = 0, -t*x + n + 4 = -1. Solve 3*h + w = -15, -10 = -x*h + 2*h - k*w for h.\n' | b'-5\n' | b'Let f(u) = -u - 4. Let k be f(-8). Let t be 1 - (1 - 2) - -1. Suppose -2*x - n - 5 = 0, -t*x + n + 4 = -1. Solve 3*h + w = -15, -10 = -x*h + 2*h - k*w for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*i - 13 = 51. Suppose -k + 24 = 5*d, 5*d + 2*k - 39 = -i. Suppose -r + d*r = 8. Solve 4 = -7*w + 4*w + 2*b, 5*w + r*b + 28 = 0 for w.\n' | b'-4\n' | b'Suppose 4*i - 13 = 51. Suppose -k + 24 = 5*d, 5*d + 2*k - 39 = -i. Suppose -r + d*r = 8. Solve 4 = -7*w + 4*w + 2*b, 5*w + r*b + 28 = 0 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 12, p: 2, f: 2, j: 4}. What is prob of sequence bbjp?\n' | b'44/4845\n' | b'Four letters picked without replacement from {b: 12, p: 2, f: 2, j: 4}. What is prob of sequence bbjp?\n' | b'44/4845\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 s when two letters picked without replacement from msmm.\n' | b'1/2\n' | b'Calculate prob of picking 1 m and 1 s when two letters picked without replacement from msmm.\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify (h*h**(2/9))/(h**(-2/11)/h*h)*(h*h**2)**1 assuming h is positive.\n' | b'h**(436/99)\n' | b'Simplify (h*h**(2/9))/(h**(-2/11)/h*h)*(h*h**2)**1 assuming h is positive.\n' | b'h**(436/99)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f when two letters picked without replacement from ffyfffffffffyfffff.\n' | b'40/51\n' | b'Calculate prob of picking 2 f when two letters picked without replacement from ffyfffffffffyfffff.\n' | b'40/51\n' | deepmind/math_dataset |
b'Let w = 37 - 35. Suppose 0 = 3*m + w + 4, -u - 4*m - 3 = 0. Suppose c - 3*c = -50. Solve -u*l - c = 5*g, -5*g = -5*l + 2*l + 17 for g.\n' | b'-4\n' | b'Let w = 37 - 35. Suppose 0 = 3*m + w + 4, -u - 4*m - 3 = 0. Suppose c - 3*c = -50. Solve -u*l - c = 5*g, -5*g = -5*l + 2*l + 17 for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from axhnwllw. Give prob of sequence ln.\n' | b'1/28\n' | b'Two letters picked without replacement from axhnwllw. Give prob of sequence ln.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let q be 9*(1 - 0)*(-162)/(-243). Let r(a) = -2*a**3 - 6*a**2 + a - 5. Let i(x) = -3*x**3 - 6*x**2 + x - 6. Let d(y) = -3*i(y) + 4*r(y). Determine d(q).\n' | b'4\n' | b'Let q be 9*(1 - 0)*(-162)/(-243). Let r(a) = -2*a**3 - 6*a**2 + a - 5. Let i(x) = -3*x**3 - 6*x**2 + x - 6. Let d(y) = -3*i(y) + 4*r(y). Determine d(q).\n' | b'4\n' | deepmind/math_dataset |
b'Let s = 1 + -3. Let z(u) = -2*u**3 - 2*u**2 + 2*u + 1. Let y be z(s). Suppose -a = y - 7. Solve -5*f = 2*k - 2 - 1, -k - a = -f for k.\n' | b'-1\n' | b'Let s = 1 + -3. Let z(u) = -2*u**3 - 2*u**2 + 2*u + 1. Let y be z(s). Suppose -a = y - 7. Solve -5*f = 2*k - 2 - 1, -k - a = -f for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((t*t/(t/(t*t**(-2/13)))*t*t*t*t**(5/2))/(((t**0/t)/t)/(t/(t*t**(-3/4)/t*t))))**(-31) assuming t is positive.\n' | b't**(-16275/52)\n' | b'Simplify ((t*t/(t/(t*t**(-2/13)))*t*t*t*t**(5/2))/(((t**0/t)/t)/(t/(t*t**(-3/4)/t*t))))**(-31) assuming t is positive.\n' | b't**(-16275/52)\n' | deepmind/math_dataset |
b'Let g(n) be the first derivative of 128*n**6/15 + 41*n**2 - 230*n + 134. Let j(y) be the first derivative of g(y). What is the derivative of j(r) wrt r?\n' | b'1024*r**3\n' | b'Let g(n) be the first derivative of 128*n**6/15 + 41*n**2 - 230*n + 134. Let j(y) be the first derivative of g(y). What is the derivative of j(r) wrt r?\n' | b'1024*r**3\n' | deepmind/math_dataset |
b'Suppose -296*u = -281*u - 45. What is the derivative of 3*k**2 + 126*k**u + k**2 - 214 - 4*k**2 + 84 wrt k?\n' | b'378*k**2\n' | b'Suppose -296*u = -281*u - 45. What is the derivative of 3*k**2 + 126*k**u + k**2 - 214 - 4*k**2 + 84 wrt k?\n' | b'378*k**2\n' | deepmind/math_dataset |
b'Suppose f - p = 5*f - 14, 2*f = p + 10. Solve 0 = i + f*w + 18, -2*w - 2 = 3*i - 3*w for i.\n' | b'-2\n' | b'Suppose f - p = 5*f - 14, 2*f = p + 10. Solve 0 = i + f*w + 18, -2*w - 2 = 3*i - 3*w for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(a) = -68*a**3 + 597*a**2 - 39*a + 13. Let d(w) = 17*w**3 - 149*w**2 + 9*w - 3. Let x(n) = 26*d(n) + 6*r(n). What is the third derivative of x(u) wrt u?\n' | b'204\n' | b'Let r(a) = -68*a**3 + 597*a**2 - 39*a + 13. Let d(w) = 17*w**3 - 149*w**2 + 9*w - 3. Let x(n) = 26*d(n) + 6*r(n). What is the third derivative of x(u) wrt u?\n' | b'204\n' | deepmind/math_dataset |
b'Simplify i*i*i*i*i**(5/4)*(i**7*i)/i*(i**(1/10))**(-7/10) assuming i is positive.\n' | b'i**(609/50)\n' | b'Simplify i*i*i*i*i**(5/4)*(i**7*i)/i*(i**(1/10))**(-7/10) assuming i is positive.\n' | b'i**(609/50)\n' | deepmind/math_dataset |
b'Let q(y) = y**3 + 6*y**2 + 2*y + 7. Let r = 11 + -17. Give q(r).\n' | b'-5\n' | b'Let q(y) = y**3 + 6*y**2 + 2*y + 7. Let r = 11 + -17. Give q(r).\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(l) = -l**3 + 5*l**2 + 8*l - 1. Let f(s) = 24*s**3 - s + 1. Let d be f(1). Let y = d + -18. What is i(y)?\n' | b'11\n' | b'Let i(l) = -l**3 + 5*l**2 + 8*l - 1. Let f(s) = 24*s**3 - s + 1. Let d be f(1). Let y = d + -18. What is i(y)?\n' | b'11\n' | deepmind/math_dataset |
b'Let d(h) = -h - 4. Let n(x) = -4*x - 21. Let c(f) = 11*d(f) - 2*n(f). Give c(4).\n' | b'-14\n' | b'Let d(h) = -h - 4. Let n(x) = -4*x - 21. Let c(f) = 11*d(f) - 2*n(f). Give c(4).\n' | b'-14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 10, v: 5, a: 1, n: 4}. What is prob of sequence vnnn?\n' | b'1/969\n' | b'Four letters picked without replacement from {q: 10, v: 5, a: 1, n: 4}. What is prob of sequence vnnn?\n' | b'1/969\n' | deepmind/math_dataset |
b'Calculate prob of sequence rrd when three letters picked without replacement from {r: 2, u: 2, d: 5, x: 4}.\n' | b'5/858\n' | b'Calculate prob of sequence rrd when three letters picked without replacement from {r: 2, u: 2, d: 5, x: 4}.\n' | b'5/858\n' | deepmind/math_dataset |
b'Let l(x) be the first derivative of 99 + 0*x + 67/3*x**3 + 1/2*x**4 + 0*x**2 - 37/5*x**5. Find the third derivative of l(y) wrt y.\n' | b'-888*y + 12\n' | b'Let l(x) be the first derivative of 99 + 0*x + 67/3*x**3 + 1/2*x**4 + 0*x**2 - 37/5*x**5. Find the third derivative of l(y) wrt y.\n' | b'-888*y + 12\n' | deepmind/math_dataset |
b'Suppose 4 = -4*a, 3*v + 6*a - 13 = 4*a. Suppose -3*q = 2*q - 35. Let p(s) = s**3 - 7*s**2 + 2*s - 3. Let k be p(q). Solve 3*u + k + 8 = -t, v*u + 21 = t for u.\n' | b'-5\n' | b'Suppose 4 = -4*a, 3*v + 6*a - 13 = 4*a. Suppose -3*q = 2*q - 35. Let p(s) = s**3 - 7*s**2 + 2*s - 3. Let k be p(q). Solve 3*u + k + 8 = -t, v*u + 21 = t for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(r) = 9*r**2 + 5*r + 3. Let s(v) = -8 - 44*v**2 + 12 - 18 - 24*v. Let i(t) = 3*s(t) + 14*x(t). What is the second derivative of i(p) wrt p?\n' | b'-12\n' | b'Let x(r) = 9*r**2 + 5*r + 3. Let s(v) = -8 - 44*v**2 + 12 - 18 - 24*v. Let i(t) = 3*s(t) + 14*x(t). What is the second derivative of i(p) wrt p?\n' | b'-12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bijjijjiijjjb. What is prob of picking 1 i, 2 b, and 1 j?\n' | b'28/715\n' | b'Four letters picked without replacement from bijjijjiijjjb. What is prob of picking 1 i, 2 b, and 1 j?\n' | b'28/715\n' | deepmind/math_dataset |
b'Let q(m) = -11*m**2 - 21*m - 14. Suppose -224 = -25*r + 53*r. Let d = 6 + -3. Let u(p) = -4*p**2 - 7*p - 5. Let k(h) = d*q(h) + r*u(h). Calculate k(-4).\n' | b'10\n' | b'Let q(m) = -11*m**2 - 21*m - 14. Suppose -224 = -25*r + 53*r. Let d = 6 + -3. Let u(p) = -4*p**2 - 7*p - 5. Let k(h) = d*q(h) + r*u(h). Calculate k(-4).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 3, o: 1, p: 9, i: 1}. Give prob of sequence oi.\n' | b'1/182\n' | b'Two letters picked without replacement from {j: 3, o: 1, p: 9, i: 1}. Give prob of sequence oi.\n' | b'1/182\n' | deepmind/math_dataset |
b'Simplify (t**3/t**(-5))**21/((t**1)**(-43))**46 assuming t is positive.\n' | b't**2146\n' | b'Simplify (t**3/t**(-5))**21/((t**1)**(-43))**46 assuming t is positive.\n' | b't**2146\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, a: 3, u: 1, r: 1, t: 2, s: 4}. What is prob of picking 1 s and 1 a?\n' | b'2/11\n' | b'Two letters picked without replacement from {e: 1, a: 3, u: 1, r: 1, t: 2, s: 4}. What is prob of picking 1 s and 1 a?\n' | b'2/11\n' | deepmind/math_dataset |
b'Simplify (h/h**(-11/2)*h)/h**(-20)*(h/(h/h**(-1/3)))/h*h/h**(-32) assuming h is positive.\n' | b'h**(355/6)\n' | b'Simplify (h/h**(-11/2)*h)/h**(-20)*(h/(h/h**(-1/3)))/h*h/h**(-32) assuming h is positive.\n' | b'h**(355/6)\n' | deepmind/math_dataset |
b'Let b(q) = -q**3 + 6*q**2 - 2*q + 4. Let j be 93/15 + 6/(-30). Give b(j).\n' | b'-8\n' | b'Let b(q) = -q**3 + 6*q**2 - 2*q + 4. Let j be 93/15 + 6/(-30). Give b(j).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 3*c = c + 28. Let s(t) = 9*t**2 + c*t - 3 + t**3 - 12*t - 4*t**2. What is s(-4)?\n' | b'5\n' | b'Suppose 3*c = c + 28. Let s(t) = 9*t**2 + c*t - 3 + t**3 - 12*t - 4*t**2. What is s(-4)?\n' | b'5\n' | deepmind/math_dataset |
b'Let p(t) = t**3 - 7*t**2 - 4*t + 10. Suppose -4*w + 11*w - 182 = 0. Let n(j) = j**2 - 27*j + 33. Let s be n(w). Calculate p(s).\n' | b'-18\n' | b'Let p(t) = t**3 - 7*t**2 - 4*t + 10. Suppose -4*w + 11*w - 182 = 0. Let n(j) = j**2 - 27*j + 33. Let s be n(w). Calculate p(s).\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose -407 = 15*o - 26*o. Let v = -34 + o. Solve 0 = v*p + 5*j - 10 - 18, 3*p - 3*j + 12 = 0 for p.\n' | b'1\n' | b'Suppose -407 = 15*o - 26*o. Let v = -34 + o. Solve 0 = v*p + 5*j - 10 - 18, 3*p - 3*j + 12 = 0 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, t: 2, m: 1, u: 1, f: 1}. Give prob of sequence ctc.\n' | b'2/105\n' | b'Three letters picked without replacement from {c: 2, t: 2, m: 1, u: 1, f: 1}. Give prob of sequence ctc.\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence ws when two letters picked without replacement from dslbpdddwdd.\n' | b'1/110\n' | b'Calculate prob of sequence ws when two letters picked without replacement from dslbpdddwdd.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of sequence sj when two letters picked without replacement from {j: 2, s: 1, n: 6, r: 2, o: 1}.\n' | b'1/66\n' | b'Calculate prob of sequence sj when two letters picked without replacement from {j: 2, s: 1, n: 6, r: 2, o: 1}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let w = -34 - -40. Let j(m) = m**2 - 3*m - 8. Let i be j(7). Suppose w*u - i = 2*u. Solve n + 10 = 3*b, u*b - 7 = -5*n + b for n.\n' | b'-1\n' | b'Let w = -34 - -40. Let j(m) = m**2 - 3*m - 8. Let i be j(7). Suppose w*u - i = 2*u. Solve n + 10 = 3*b, u*b - 7 = -5*n + b for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 4, n: 3}. Give prob of sequence ddd.\n' | b'4/35\n' | b'Three letters picked without replacement from {d: 4, n: 3}. Give prob of sequence ddd.\n' | b'4/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iggtgicgcjctccgcti. What is prob of picking 1 t and 1 i?\n' | b'1/17\n' | b'Two letters picked without replacement from iggtgicgcjctccgcti. What is prob of picking 1 t and 1 i?\n' | b'1/17\n' | deepmind/math_dataset |
b'Let u(r) = -1 + 3 - 5 + 3331*r - 3332*r - 9. Let b = -14 + 5. Give u(b).\n' | b'-3\n' | b'Let u(r) = -1 + 3 - 5 + 3331*r - 3332*r - 9. Let b = -14 + 5. Give u(b).\n' | b'-3\n' | deepmind/math_dataset |
b'Let q be (8/(-20))/((-3)/90). Suppose -u = 3*u - q. Solve -5*a = -5*r + 10, u = 3*a + 2*r - 1 for a.\n' | b'0\n' | b'Let q be (8/(-20))/((-3)/90). Suppose -u = 3*u - q. Solve -5*a = -5*r + 10, u = 3*a + 2*r - 1 for a.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence qk when two letters picked without replacement from qqjkm.\n' | b'1/10\n' | b'Calculate prob of sequence qk when two letters picked without replacement from qqjkm.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((p/(p*(p*p**(-2/37))/p))/((p*(p/p**(-23/5)*p)/p)/p*p)*(p/(p/(p*p**(-2/5))))/(p*p/(p/((p*p*p*p**(1/33)*p)/p)*p*p)))**(10/3) assuming p is positive.\n' | b'p**(-97390/3663)\n' | b'Simplify ((p/(p*(p*p**(-2/37))/p))/((p*(p/p**(-23/5)*p)/p)/p*p)*(p/(p/(p*p**(-2/5))))/(p*p/(p/((p*p*p*p**(1/33)*p)/p)*p*p)))**(10/3) assuming p is positive.\n' | b'p**(-97390/3663)\n' | deepmind/math_dataset |
b'Let m be 315/14 + 3/6 - 0. What is the third derivative of -1010*x**5 + 1023*x**5 + 65*x**2 - m*x**2 wrt x?\n' | b'780*x**2\n' | b'Let m be 315/14 + 3/6 - 0. What is the third derivative of -1010*x**5 + 1023*x**5 + 65*x**2 - m*x**2 wrt x?\n' | b'780*x**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from lcc.\n' | b'1/3\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from lcc.\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 3 j when four letters picked without replacement from {j: 3, i: 11}.\n' | b'1/91\n' | b'Calculate prob of picking 1 i and 3 j when four letters picked without replacement from {j: 3, i: 11}.\n' | b'1/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pppppp. What is prob of sequence pp?\n' | b'1\n' | b'Two letters picked without replacement from pppppp. What is prob of sequence pp?\n' | b'1\n' | deepmind/math_dataset |
b'Let b(j) = -j**3 + 3*j**2 + 4*j - 2. Suppose -6 = 2*l - l + 4*i, -3*l = -4*i - 14. Suppose 2*w + l*w - 13 = -d, -5*w + 8 = 4*d. What is b(w)?\n' | b'-2\n' | b'Let b(j) = -j**3 + 3*j**2 + 4*j - 2. Suppose -6 = 2*l - l + 4*i, -3*l = -4*i - 14. Suppose 2*w + l*w - 13 = -d, -5*w + 8 = 4*d. What is b(w)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((u**(-34))**(1/6)*(((u*u*u*u/((u**(-38)/u)/u)*u*u)/u*u)/u*u)/u**(-18))**(-3/47) assuming u is positive.\n' | b'u**(-175/47)\n' | b'Simplify ((u**(-34))**(1/6)*(((u*u*u*u/((u**(-38)/u)/u)*u*u)/u*u)/u*u)/u**(-18))**(-3/47) assuming u is positive.\n' | b'u**(-175/47)\n' | deepmind/math_dataset |
b'Let d(l) = l**2. Suppose 30 = 12*w - 30. Let a(g) = 9*g**2 + g. Let n(o) = w*d(o) - a(o). Suppose -2*c - 6 = -2. Give n(c).\n' | b'-14\n' | b'Let d(l) = l**2. Suppose 30 = 12*w - 30. Let a(g) = 9*g**2 + g. Let n(o) = w*d(o) - a(o). Suppose -2*c - 6 = -2. Give n(c).\n' | b'-14\n' | deepmind/math_dataset |
b'Let t(u) = -u**3 - 27*u**2 - 25*u + 28. Suppose -q - 226 = -200. Let b be t(q). Solve -3*d + 2 = 4*n - 2, -b*n + 28 = -5*d for n.\n' | b'4\n' | b'Let t(u) = -u**3 - 27*u**2 - 25*u + 28. Suppose -q - 226 = -200. Let b be t(q). Solve -3*d + 2 = 4*n - 2, -b*n + 28 = -5*d for n.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((((p**(3/4)*p*p*p)/p*p)/p)/(p**(3/13)*p*p))**(-43) assuming p is positive.\n' | b'p**(-1161/52)\n' | b'Simplify ((((p**(3/4)*p*p*p)/p*p)/p)/(p**(3/13)*p*p))**(-43) assuming p is positive.\n' | b'p**(-1161/52)\n' | deepmind/math_dataset |
b'Suppose 2*d = 5*d - 15. Solve -d*o - 2*f = -16, -6 = 5*f + 4 for o.\n' | b'4\n' | b'Suppose 2*d = 5*d - 15. Solve -d*o - 2*f = -16, -6 = 5*f + 4 for o.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (c*c/c**(-1))/c**8*(((c*c**(1/4)*c)/c*c*c)/c)**(-45) assuming c is positive.\n' | b'c**(-425/4)\n' | b'Simplify (c*c/c**(-1))/c**8*(((c*c**(1/4)*c)/c*c*c)/c)**(-45) assuming c is positive.\n' | b'c**(-425/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaaaavaa. Give prob of sequence aa.\n' | b'3/4\n' | b'Two letters picked without replacement from aaaaavaa. Give prob of sequence aa.\n' | b'3/4\n' | deepmind/math_dataset |
b'Let y(d) = d**3 - 7*d**2 + 5*d + 9. Let j be y(6). Suppose -2*q + j*s + 30 = 0, -8*s = 4*q - 3*s - 16. Solve 0 = i - 4*c - 0*c - q, 3*i + 2*c = -15 for i.\n' | b'-3\n' | b'Let y(d) = d**3 - 7*d**2 + 5*d + 9. Let j be y(6). Suppose -2*q + j*s + 30 = 0, -8*s = 4*q - 3*s - 16. Solve 0 = i - 4*c - 0*c - q, 3*i + 2*c = -15 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(k) be the second derivative of -173*k**4/12 + k**3/6 + 9*k**2/2 - 36*k - 4. What is the second derivative of l(a) wrt a?\n' | b'-346\n' | b'Let l(k) be the second derivative of -173*k**4/12 + k**3/6 + 9*k**2/2 - 36*k - 4. What is the second derivative of l(a) wrt a?\n' | b'-346\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 3, k: 4, s: 3, m: 7, e: 3}. What is prob of sequence mm?\n' | b'21/190\n' | b'Two letters picked without replacement from {i: 3, k: 4, s: 3, m: 7, e: 3}. What is prob of sequence mm?\n' | b'21/190\n' | deepmind/math_dataset |
b'Suppose -14 + 19 = m. Find the third derivative of 10*z**2 - 22*z**5 - 11*z**m - 19*z**5 wrt z.\n' | b'-3120*z**2\n' | b'Suppose -14 + 19 = m. Find the third derivative of 10*z**2 - 22*z**5 - 11*z**m - 19*z**5 wrt z.\n' | b'-3120*z**2\n' | deepmind/math_dataset |
b'Let f(a) be the third derivative of -a**4/6 + 20*a**3/3 - 742*a**2. Calculate f(10).\n' | b'0\n' | b'Let f(a) be the third derivative of -a**4/6 + 20*a**3/3 - 742*a**2. Calculate f(10).\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 3, i: 5, l: 3}. Give prob of sequence qlqi.\n' | b'1/88\n' | b'Four letters picked without replacement from {q: 3, i: 5, l: 3}. Give prob of sequence qlqi.\n' | b'1/88\n' | deepmind/math_dataset |
b'Simplify (k*(k**(2/7)*k)/k)**(-2/11)*(k/k**(-1/3)*k)**(-14/5)*((k**1)**(-4/7))**(-47) assuming k is positive.\n' | b'k**(23204/1155)\n' | b'Simplify (k*(k**(2/7)*k)/k)**(-2/11)*(k/k**(-1/3)*k)**(-14/5)*((k**1)**(-4/7))**(-47) assuming k is positive.\n' | b'k**(23204/1155)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from acjgggr. Give prob of sequence cj.\n' | b'1/42\n' | b'Two letters picked without replacement from acjgggr. Give prob of sequence cj.\n' | b'1/42\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 f when two letters picked without replacement from {z: 1, i: 1, g: 1, r: 2, f: 1, h: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 h and 1 f when two letters picked without replacement from {z: 1, i: 1, g: 1, r: 2, f: 1, h: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose 66 = 5*w - 4*t, -7*t + 2*t = -2*w + 40. Solve 3 = 3*m - c - 0, -m + 4*c - w = 0 for m.\n' | b'2\n' | b'Suppose 66 = 5*w - 4*t, -7*t + 2*t = -2*w + 40. Solve 3 = 3*m - c - 0, -m + 4*c - w = 0 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((s/s**(3/4))/s**(-2))/(((s/(s**(5/4)/s))/s)/(s*s**7))*(s**2)**(-2/23)*s/(s/(s**(3/8)*s))*s*s/s**(-2/19)*s assuming s is positive.\n' | b's**(51763/3496)\n' | b'Simplify ((s/s**(3/4))/s**(-2))/(((s/(s**(5/4)/s))/s)/(s*s**7))*(s**2)**(-2/23)*s/(s/(s**(3/8)*s))*s*s/s**(-2/19)*s assuming s is positive.\n' | b's**(51763/3496)\n' | deepmind/math_dataset |
b'Simplify (((r/r**(1/51))/r)/r**(-13/5))/((r/(r*r**(-2/15)))/r)**(6/13) assuming r is positive.\n' | b'r**(152/51)\n' | b'Simplify (((r/r**(1/51))/r)/r**(-13/5))/((r/(r*r**(-2/15)))/r)**(6/13) assuming r is positive.\n' | b'r**(152/51)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ul when two letters picked without replacement from mllitlliuulu.\n' | b'5/44\n' | b'Calculate prob of sequence ul when two letters picked without replacement from mllitlliuulu.\n' | b'5/44\n' | deepmind/math_dataset |
b'Calculate prob of sequence phfp when four letters picked without replacement from pphyhhgylggfp.\n' | b'3/2860\n' | b'Calculate prob of sequence phfp when four letters picked without replacement from pphyhhgylggfp.\n' | b'3/2860\n' | deepmind/math_dataset |
b'Suppose -11*d - 1044 = -5*d. Let j = 120 + d. Let x = j + 56. Solve 0*w = -w - 2*o + 2, 0 = -2*w + x*o - 2 for w.\n' | b'0\n' | b'Suppose -11*d - 1044 = -5*d. Let j = 120 + d. Let x = j + 56. Solve 0*w = -w - 2*o + 2, 0 = -2*w + x*o - 2 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let w(p) be the first derivative of p**3/3 - 3*p**2 - p + 4. Calculate w(4).\n' | b'-9\n' | b'Let w(p) be the first derivative of p**3/3 - 3*p**2 - p + 4. Calculate w(4).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose 3*r + 5*o - 105 = 0, -3*r - r + 3*o + 140 = 0. Let k = r + -33. What is the third derivative of -23*l**4 + 2*l**3 + 22*l**2 - l**4 - k*l**3 wrt l?\n' | b'-576*l\n' | b'Suppose 3*r + 5*o - 105 = 0, -3*r - r + 3*o + 140 = 0. Let k = r + -33. What is the third derivative of -23*l**4 + 2*l**3 + 22*l**2 - l**4 - k*l**3 wrt l?\n' | b'-576*l\n' | deepmind/math_dataset |
b'Suppose 0 = -0*i - i - 3*d + 35, 0 = -i - 5*d + 45. Suppose i + 5 = 5*f - 3*t, -17 = -f + 3*t. Solve -5*u - 20 = -5*v, -v - f*u = 3*u + 8 for v.\n' | b'2\n' | b'Suppose 0 = -0*i - i - 3*d + 35, 0 = -i - 5*d + 45. Suppose i + 5 = 5*f - 3*t, -17 = -f + 3*t. Solve -5*u - 20 = -5*v, -v - f*u = 3*u + 8 for v.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = b + 3*b - 8. Solve -b*g = -5*i, 5*g + 0*i = -i for g.\n' | b'0\n' | b'Suppose 0 = b + 3*b - 8. Solve -b*g = -5*i, 5*g + 0*i = -i for g.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence vvcy when four letters picked without replacement from cvyvvyvvvvyccycv?\n' | b'4/195\n' | b'What is prob of sequence vvcy when four letters picked without replacement from cvyvvyvvvvyccycv?\n' | b'4/195\n' | deepmind/math_dataset |
b'Suppose 0 = 8*k - 6*k - 154. What is the first derivative of -c - k*c**2 + 74*c**2 + c - 2 wrt c?\n' | b'-6*c\n' | b'Suppose 0 = 8*k - 6*k - 154. What is the first derivative of -c - k*c**2 + 74*c**2 + c - 2 wrt c?\n' | b'-6*c\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 1, y: 1, l: 5, k: 3}. What is prob of sequence lkg?\n' | b'1/48\n' | b'Three letters picked without replacement from {g: 1, y: 1, l: 5, k: 3}. What is prob of sequence lkg?\n' | b'1/48\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jppptpjopptpptooott. What is prob of sequence opp?\n' | b'112/2907\n' | b'Three letters picked without replacement from jppptpjopptpptooott. What is prob of sequence opp?\n' | b'112/2907\n' | deepmind/math_dataset |
b'Simplify (h**(-3/8)*h**(-2/7))/(h/h**(-1/2))**(-2/17) assuming h is positive.\n' | b'h**(-461/952)\n' | b'Simplify (h**(-3/8)*h**(-2/7))/(h/h**(-1/2))**(-2/17) assuming h is positive.\n' | b'h**(-461/952)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 8, o: 2}. Give prob of sequence oee.\n' | b'7/45\n' | b'Three letters picked without replacement from {e: 8, o: 2}. Give prob of sequence oee.\n' | b'7/45\n' | deepmind/math_dataset |
b'Let d(u) = 35*u - 3159. Let v be d(90). Let h(r) = r**2 + 12*r + 21. Give h(v).\n' | b'-6\n' | b'Let d(u) = 35*u - 3159. Let v be d(90). Let h(r) = r**2 + 12*r + 21. Give h(v).\n' | b'-6\n' | deepmind/math_dataset |
b'Let v(a) = a**3 - 9 + 1 - 2*a**3 - 8*a**2. Give v(-8).\n' | b'-8\n' | b'Let v(a) = a**3 - 9 + 1 - 2*a**3 - 8*a**2. Give v(-8).\n' | b'-8\n' | deepmind/math_dataset |
b'Let n(w) = -w**2 + 5*w + 4. Suppose -3*c + 3 = f - 2, 0 = 2*c + 2*f - 2. Let m = 7 - c. Give n(m).\n' | b'4\n' | b'Let n(w) = -w**2 + 5*w + 4. Suppose -3*c + 3 = f - 2, 0 = 2*c + 2*f - 2. Let m = 7 - c. Give n(m).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (f**45/(f**(-14)*f))/((f**35*f)/(f**(-8)/f)) assuming f is positive.\n' | b'f**13\n' | b'Simplify (f**45/(f**(-14)*f))/((f**35*f)/(f**(-8)/f)) assuming f is positive.\n' | b'f**13\n' | deepmind/math_dataset |
b'What is prob of picking 2 m when two letters picked without replacement from {c: 1, m: 2, l: 4, v: 2, w: 6, u: 2}?\n' | b'1/136\n' | b'What is prob of picking 2 m when two letters picked without replacement from {c: 1, m: 2, l: 4, v: 2, w: 6, u: 2}?\n' | b'1/136\n' | deepmind/math_dataset |
b'Let v(u) = u + 8. Let q be v(-6). Let x(b) = b + 0*b**2 - 4 + b**2 + 2*b**q - 4*b**2. Determine x(0).\n' | b'-4\n' | b'Let v(u) = u + 8. Let q be v(-6). Let x(b) = b + 0*b**2 - 4 + b**2 + 2*b**q - 4*b**2. Determine x(0).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 2 k when four letters picked without replacement from vvvqqqqqqqvvqkvvkvv.\n' | b'3/323\n' | b'Calculate prob of picking 2 v and 2 k when four letters picked without replacement from vvvqqqqqqqvvqkvvkvv.\n' | b'3/323\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.