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'Let b(v) be the second derivative of -v**7/21 - 323*v**4/12 + 87*v**3/2 - v - 211. What is the second derivative of b(t) wrt t?\n' | b'-40*t**3 - 646\n' | b'Let b(v) be the second derivative of -v**7/21 - 323*v**4/12 + 87*v**3/2 - v - 211. What is the second derivative of b(t) wrt t?\n' | b'-40*t**3 - 646\n' | deepmind/math_dataset |
b'Let d(p) = 2*p**2 - p - 2. Let l(k) = -2*k - 31. Let u(q) = 3*q + 32. Let x(a) = -6*l(a) - 5*u(a). Let o be x(8). Determine d(o).\n' | b'4\n' | b'Let d(p) = 2*p**2 - p - 2. Let l(k) = -2*k - 31. Let u(q) = 3*q + 32. Let x(a) = -6*l(a) - 5*u(a). Let o be x(8). Determine d(o).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -2*z + w - 150 = -0*z, 3*z + w + 225 = 0. Let m be 4/18 + z/(-27). Solve -q = -3*d + m, -3*q - 3*d - d - 9 = 0 for q.\n' | b'-3\n' | b'Suppose -2*z + w - 150 = -0*z, 3*z + w + 225 = 0. Let m be 4/18 + z/(-27). Solve -q = -3*d + m, -3*q - 3*d - d - 9 = 0 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence lpzz when four letters picked without replacement from {z: 3, p: 2, l: 8, s: 5, a: 1}?\n' | b'1/969\n' | b'What is prob of sequence lpzz when four letters picked without replacement from {z: 3, p: 2, l: 8, s: 5, a: 1}?\n' | b'1/969\n' | deepmind/math_dataset |
b'Let r be (-10)/(-140) + (-228)/56 + 16/2. Let j be (-1*(1 + -6))/1. Suppose 0 = -j*z + r - 34. Let i(o) = o**2 + 6*o. What is i(z)?\n' | b'0\n' | b'Let r be (-10)/(-140) + (-228)/56 + 16/2. Let j be (-1*(1 + -6))/1. Suppose 0 = -j*z + r - 34. Let i(o) = o**2 + 6*o. What is i(z)?\n' | b'0\n' | deepmind/math_dataset |
b'What is the second derivative of -15*r + 35*r - 14*r - 13*r**3 - 16*r wrt r?\n' | b'-78*r\n' | b'What is the second derivative of -15*r + 35*r - 14*r - 13*r**3 - 16*r wrt r?\n' | b'-78*r\n' | deepmind/math_dataset |
b'Let q(s) be the second derivative of s**3/3 + 3*s**2/2 + 99*s. Determine q(-5).\n' | b'-7\n' | b'Let q(s) be the second derivative of s**3/3 + 3*s**2/2 + 99*s. Determine q(-5).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, o: 9}. Give prob of sequence oof.\n' | b'8/55\n' | b'Three letters picked without replacement from {f: 2, o: 9}. Give prob of sequence oof.\n' | b'8/55\n' | deepmind/math_dataset |
b'Let c(t) = t**2 - t + 1. Let k be -1 + 2/(-3)*-3. Let b(y) = 6*y**2 - 3*y + 5. Let w(l) = k*b(l) - 5*c(l). Find the second derivative of w(j) wrt j.\n' | b'2\n' | b'Let c(t) = t**2 - t + 1. Let k be -1 + 2/(-3)*-3. Let b(y) = 6*y**2 - 3*y + 5. Let w(l) = k*b(l) - 5*c(l). Find the second derivative of w(j) wrt j.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 3, i: 8, p: 2, q: 2}. What is prob of sequence iipi?\n' | b'4/195\n' | b'Four letters picked without replacement from {m: 3, i: 8, p: 2, q: 2}. What is prob of sequence iipi?\n' | b'4/195\n' | deepmind/math_dataset |
b'Suppose 4*l - 3 = 17. Suppose 4*k = 3*c + 23, 15 = -2*k - l*c - 6. Suppose -3*w = 6, -5*v + w + 48 = -3*w. Solve 0 = -3*x - 3*f - 0 - 6, -x - v = -k*f for x.\n' | b'-4\n' | b'Suppose 4*l - 3 = 17. Suppose 4*k = 3*c + 23, 15 = -2*k - l*c - 6. Suppose -3*w = 6, -5*v + w + 48 = -3*w. Solve 0 = -3*x - 3*f - 0 - 6, -x - v = -k*f for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(r) = 1712*r**3 - 5*r**2 + 2548. Let a(o) = 855*o**3 - 2*o**2 + 1275. Let m(j) = -5*a(j) + 2*p(j). What is the derivative of m(d) wrt d?\n' | b'-2553*d**2\n' | b'Let p(r) = 1712*r**3 - 5*r**2 + 2548. Let a(o) = 855*o**3 - 2*o**2 + 1275. Let m(j) = -5*a(j) + 2*p(j). What is the derivative of m(d) wrt d?\n' | b'-2553*d**2\n' | deepmind/math_dataset |
b'What is prob of sequence eme when three letters picked without replacement from mmmmmmmemmmemmemmmmm?\n' | b'17/1140\n' | b'What is prob of sequence eme when three letters picked without replacement from mmmmmmmemmmemmemmmmm?\n' | b'17/1140\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rnrynnwrrnrwrrrwrrnw. What is prob of sequence yrr?\n' | b'1/76\n' | b'Three letters picked without replacement from rnrynnwrrnrwrrrwrrnw. What is prob of sequence yrr?\n' | b'1/76\n' | deepmind/math_dataset |
b'Let s(t) = -2*t**2 + 2*t + 10. Let p be s(4). Let u(o) = -o**2 - 19*o - 16. What is u(p)?\n' | b'54\n' | b'Let s(t) = -2*t**2 + 2*t + 10. Let p be s(4). Let u(o) = -o**2 - 19*o - 16. What is u(p)?\n' | b'54\n' | deepmind/math_dataset |
b'Simplify p*p/p**(-7)*(p**(-2/31)/p)/p*(p**(-7/5)/p*p*p)/p**1 assuming p is positive.\n' | b'p**(858/155)\n' | b'Simplify p*p/p**(-7)*(p**(-2/31)/p)/p*(p**(-7/5)/p*p*p)/p**1 assuming p is positive.\n' | b'p**(858/155)\n' | deepmind/math_dataset |
b'Simplify ((f**(2/7))**(-1/4))**(-3/46) assuming f is positive.\n' | b'f**(3/644)\n' | b'Simplify ((f**(2/7))**(-1/4))**(-3/46) assuming f is positive.\n' | b'f**(3/644)\n' | deepmind/math_dataset |
b'Suppose 5539 = 48*v - 1421. Let q = 148 - v. Suppose 4*s + 3 - 23 = 0. Solve 5*h - 38 = -s*f - 3, q*f = h + 5 for h.\n' | b'4\n' | b'Suppose 5539 = 48*v - 1421. Let q = 148 - v. Suppose 4*s + 3 - 23 = 0. Solve 5*h - 38 = -s*f - 3, q*f = h + 5 for h.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (s**(2/7)*s**(7/6)*s**(2/11)*s*s**(-3/13)*s)**(30/11) assuming s is positive.\n' | b's**(102205/11011)\n' | b'Simplify (s**(2/7)*s**(7/6)*s**(2/11)*s*s**(-3/13)*s)**(30/11) assuming s is positive.\n' | b's**(102205/11011)\n' | deepmind/math_dataset |
b'What is prob of picking 2 f when two letters picked without replacement from {c: 5, f: 8, y: 2}?\n' | b'4/15\n' | b'What is prob of picking 2 f when two letters picked without replacement from {c: 5, f: 8, y: 2}?\n' | b'4/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 b when four letters picked without replacement from bbbbbnnbbbbb.\n' | b'14/33\n' | b'Calculate prob of picking 4 b when four letters picked without replacement from bbbbbnnbbbbb.\n' | b'14/33\n' | deepmind/math_dataset |
b'Simplify (i**0)**(-5/7)*(i**(3/7)*i)/i**(1/4) assuming i is positive.\n' | b'i**(33/28)\n' | b'Simplify (i**0)**(-5/7)*(i**(3/7)*i)/i**(1/4) assuming i is positive.\n' | b'i**(33/28)\n' | deepmind/math_dataset |
b'What is prob of sequence zi when two letters picked without replacement from iivzicicvizczziii?\n' | b'2/17\n' | b'What is prob of sequence zi when two letters picked without replacement from iivzicicvizczziii?\n' | b'2/17\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 v when three letters picked without replacement from ouvuv.\n' | b'1/10\n' | b'Calculate prob of picking 1 o and 2 v when three letters picked without replacement from ouvuv.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -4 = -3*h - 7, 3*h = s. Let m(d) = -3*d + 1. Let n be m(s). Let k = 17865 + -17851. Solve -5*q + g = -2*q - n, g = 4*q - k for q.\n' | b'4\n' | b'Suppose -4 = -3*h - 7, 3*h = s. Let m(d) = -3*d + 1. Let n be m(s). Let k = 17865 + -17851. Solve -5*q + g = -2*q - n, g = 4*q - k for q.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((n**(-1)/n)**(-6)*n*(n*n**(5/4)*n)/n*n*n*((n*n**(-2))/n)/n)/(n**10/n**5)**(4/19) assuming n is positive.\n' | b'n**(1003/76)\n' | b'Simplify ((n**(-1)/n)**(-6)*n*(n*n**(5/4)*n)/n*n*n*((n*n**(-2))/n)/n)/(n**10/n**5)**(4/19) assuming n is positive.\n' | b'n**(1003/76)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {h: 15, b: 2, v: 3}.\n' | b'7/38\n' | b'Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {h: 15, b: 2, v: 3}.\n' | b'7/38\n' | deepmind/math_dataset |
b'Let h(a) = 350*a**2 + 444*a + 9. Let t(c) = 88*c**2 + 111*c + 2. Let s(x) = -2*h(x) + 9*t(x). Find the second derivative of s(o) wrt o.\n' | b'184\n' | b'Let h(a) = 350*a**2 + 444*a + 9. Let t(c) = 88*c**2 + 111*c + 2. Let s(x) = -2*h(x) + 9*t(x). Find the second derivative of s(o) wrt o.\n' | b'184\n' | deepmind/math_dataset |
b'What is prob of picking 3 w when three letters picked without replacement from {m: 3, w: 3}?\n' | b'1/20\n' | b'What is prob of picking 3 w when three letters picked without replacement from {m: 3, w: 3}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify h**(8/7)/(h/h**39)*(h*h**(-2))**(-4/5) assuming h is positive.\n' | b'h**(1398/35)\n' | b'Simplify h**(8/7)/(h/h**39)*(h*h**(-2))**(-4/5) assuming h is positive.\n' | b'h**(1398/35)\n' | deepmind/math_dataset |
b'Calculate prob of sequence kj when two letters picked without replacement from {s: 2, j: 1, y: 4, o: 7, k: 1}.\n' | b'1/210\n' | b'Calculate prob of sequence kj when two letters picked without replacement from {s: 2, j: 1, y: 4, o: 7, k: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 2, e: 5}. What is prob of sequence ehh?\n' | b'1/21\n' | b'Three letters picked without replacement from {h: 2, e: 5}. What is prob of sequence ehh?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (((k/k**10*k*k**26)**43)**(4/5))**(1/26) assuming k is positive.\n' | b'k**(1548/65)\n' | b'Simplify (((k/k**10*k*k**26)**43)**(4/5))**(1/26) assuming k is positive.\n' | b'k**(1548/65)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {c: 2, r: 2, z: 3, p: 3, u: 2, b: 4}.\n' | b'1/140\n' | b'Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {c: 2, r: 2, z: 3, p: 3, u: 2, b: 4}.\n' | b'1/140\n' | deepmind/math_dataset |
b'What is the second derivative of -478*w**4 - 8*w**5 + 837 + 5*w**5 + 4*w**5 + 569 - 2*w wrt w?\n' | b'20*w**3 - 5736*w**2\n' | b'What is the second derivative of -478*w**4 - 8*w**5 + 837 + 5*w**5 + 4*w**5 + 569 - 2*w wrt w?\n' | b'20*w**3 - 5736*w**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence yppy when four letters picked without replacement from yyyppyypypyyyypyyy.\n' | b'13/306\n' | b'Calculate prob of sequence yppy when four letters picked without replacement from yyyppyypypyyyypyyy.\n' | b'13/306\n' | deepmind/math_dataset |
b'Simplify (n**(2/9))**(7/2)*(n**(-1/3))**(-42) assuming n is positive.\n' | b'n**(133/9)\n' | b'Simplify (n**(2/9))**(7/2)*(n**(-1/3))**(-42) assuming n is positive.\n' | b'n**(133/9)\n' | deepmind/math_dataset |
b'Let l(d) = 1 + d**2 - 13 - 1 + 2*d. Let q be l(3). Let j(s) = s**3 - 3*s**2 + s + 1. Determine j(q).\n' | b'-1\n' | b'Let l(d) = 1 + d**2 - 13 - 1 + 2*d. Let q be l(3). Let j(s) = s**3 - 3*s**2 + s + 1. Determine j(q).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, b: 1, h: 4, l: 1, f: 2}. What is prob of sequence sfb?\n' | b'1/252\n' | b'Three letters picked without replacement from {s: 1, b: 1, h: 4, l: 1, f: 2}. What is prob of sequence sfb?\n' | b'1/252\n' | deepmind/math_dataset |
b'Let y(h) be the third derivative of 0*h - 1/12*h**5 + 2*h**2 + 0*h**4 - 1/60*h**6 + 0 + 0*h**3. Find the third derivative of y(t) wrt t.\n' | b'-12\n' | b'Let y(h) be the third derivative of 0*h - 1/12*h**5 + 2*h**2 + 0*h**4 - 1/60*h**6 + 0 + 0*h**3. Find the third derivative of y(t) wrt t.\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (w*w**5/w)**(-16)/(w/(w/(w/(w/(w/((w*w**14)/w*w)))*w))*w*w/w**(2/29)) assuming w is positive.\n' | b'w**(-1999/29)\n' | b'Simplify (w*w**5/w)**(-16)/(w/(w/(w/(w/(w/((w*w**14)/w*w)))*w))*w*w/w**(2/29)) assuming w is positive.\n' | b'w**(-1999/29)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jpvppvpvppvjpl. Give prob of picking 3 v.\n' | b'1/91\n' | b'Three letters picked without replacement from jpvppvpvppvjpl. Give prob of picking 3 v.\n' | b'1/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qwwwqqppswswwpqppww. What is prob of sequence pq?\n' | b'10/171\n' | b'Two letters picked without replacement from qwwwqqppswswwpqppww. What is prob of sequence pq?\n' | b'10/171\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, m: 3, s: 1}. Give prob of sequence sm.\n' | b'3/20\n' | b'Two letters picked without replacement from {n: 1, m: 3, s: 1}. Give prob of sequence sm.\n' | b'3/20\n' | deepmind/math_dataset |
b'What is prob of sequence ip when two letters picked without replacement from pdijpdpiiwwjdede?\n' | b'3/80\n' | b'What is prob of sequence ip when two letters picked without replacement from pdijpdpiiwwjdede?\n' | b'3/80\n' | deepmind/math_dataset |
b'Simplify (l**12/l)**(-1/7) assuming l is positive.\n' | b'l**(-11/7)\n' | b'Simplify (l**12/l)**(-1/7) assuming l is positive.\n' | b'l**(-11/7)\n' | deepmind/math_dataset |
b'Simplify (((l*l**(-1/4)*l)/l)/((l/l**1)/l)*(l/((l**7/l)/l))/(l/(l/(l/l**(2/13)))))**41 assuming l is positive.\n' | b'l**(-6601/52)\n' | b'Simplify (((l*l**(-1/4)*l)/l)/((l/l**1)/l)*(l/((l**7/l)/l))/(l/(l/(l/l**(2/13)))))**41 assuming l is positive.\n' | b'l**(-6601/52)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 7, p: 8, z: 2, q: 2}. Give prob of sequence pg.\n' | b'28/171\n' | b'Two letters picked without replacement from {g: 7, p: 8, z: 2, q: 2}. Give prob of sequence pg.\n' | b'28/171\n' | deepmind/math_dataset |
b'Let d(p) = 158 + 5 + 103 - 34 + 34*p + 50. Determine d(-8).\n' | b'10\n' | b'Let d(p) = 158 + 5 + 103 - 34 + 34*p + 50. Determine d(-8).\n' | b'10\n' | deepmind/math_dataset |
b'Let a(j) = 142*j**3 - 17*j**2 + 13*j + 9894. Let r(x) = 144*x**3 - 16*x**2 + 12*x + 9893. Let d(y) = 13*a(y) - 14*r(y). What is the derivative of d(k) wrt k?\n' | b'-510*k**2 + 6*k + 1\n' | b'Let a(j) = 142*j**3 - 17*j**2 + 13*j + 9894. Let r(x) = 144*x**3 - 16*x**2 + 12*x + 9893. Let d(y) = 13*a(y) - 14*r(y). What is the derivative of d(k) wrt k?\n' | b'-510*k**2 + 6*k + 1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from llmmsmmmmlmlsmmmspg. Give prob of sequence plsm.\n' | b'5/3876\n' | b'Four letters picked without replacement from llmmsmmmmlmlsmmmspg. Give prob of sequence plsm.\n' | b'5/3876\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 4}. What is prob of sequence jj?\n' | b'1\n' | b'Two letters picked without replacement from {j: 4}. What is prob of sequence jj?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iqlzgimllmmimmi. What is prob of sequence qm?\n' | b'1/42\n' | b'Two letters picked without replacement from iqlzgimllmmimmi. What is prob of sequence qm?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let l(t) = 5*t - 4. Let p(s) = s**3 - 2*s**2 - s - 4. Let f be p(4). Suppose -a - 3*a - f = 0. Let q(r) = -r + 1. Let n(m) = a*q(m) - l(m). Determine n(7).\n' | b'5\n' | b'Let l(t) = 5*t - 4. Let p(s) = s**3 - 2*s**2 - s - 4. Let f be p(4). Suppose -a - 3*a - f = 0. Let q(r) = -r + 1. Let n(m) = a*q(m) - l(m). Determine n(7).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence yhy when three letters picked without replacement from ooyphhaytothoh.\n' | b'1/273\n' | b'Calculate prob of sequence yhy when three letters picked without replacement from ooyphhaytothoh.\n' | b'1/273\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 4, q: 6, m: 3, z: 1, l: 1}. What is prob of picking 1 z, 1 m, and 1 q?\n' | b'18/455\n' | b'Three letters picked without replacement from {f: 4, q: 6, m: 3, z: 1, l: 1}. What is prob of picking 1 z, 1 m, and 1 q?\n' | b'18/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 4, a: 1, e: 3, r: 2, y: 3, h: 4}. Give prob of picking 2 y.\n' | b'3/136\n' | b'Two letters picked without replacement from {o: 4, a: 1, e: 3, r: 2, y: 3, h: 4}. Give prob of picking 2 y.\n' | b'3/136\n' | deepmind/math_dataset |
b'Differentiate -6*b**3 + 11*b + b**3 - 28 + 11*b**3 - 16*b**3 wrt b.\n' | b'-30*b**2 + 11\n' | b'Differentiate -6*b**3 + 11*b + b**3 - 28 + 11*b**3 - 16*b**3 wrt b.\n' | b'-30*b**2 + 11\n' | deepmind/math_dataset |
b'Suppose -67 - 15 - 22 = -26*a. Let z(o) = o**3 - 2*o**2 - 6*o + 14. Determine z(a).\n' | b'22\n' | b'Suppose -67 - 15 - 22 = -26*a. Let z(o) = o**3 - 2*o**2 - 6*o + 14. Determine z(a).\n' | b'22\n' | deepmind/math_dataset |
b'Let n(x) = -x. Let p be n(-4). Find the second derivative of 5*u - 3*u - 15*u**4 + 9*u**p wrt u.\n' | b'-72*u**2\n' | b'Let n(x) = -x. Let p be n(-4). Find the second derivative of 5*u - 3*u - 15*u**4 + 9*u**p wrt u.\n' | b'-72*u**2\n' | deepmind/math_dataset |
b'Let y(g) be the third derivative of g**4/3 - 5*g**3/2 + 26*g**2. Find the first derivative of y(j) wrt j.\n' | b'8\n' | b'Let y(g) be the third derivative of g**4/3 - 5*g**3/2 + 26*g**2. Find the first derivative of y(j) wrt j.\n' | b'8\n' | deepmind/math_dataset |
b'Let a(b) be the first derivative of 2*b**5/5 - 25*b**3/3 - 14. Find the third derivative of a(g) wrt g.\n' | b'48*g\n' | b'Let a(b) be the first derivative of 2*b**5/5 - 25*b**3/3 - 14. Find the third derivative of a(g) wrt g.\n' | b'48*g\n' | deepmind/math_dataset |
b'Let v(n) = n**2 + 25*n - 386. Let o be v(11). Solve 5*c + 0*f = -f + o, 14 = 4*c + 2*f for c.\n' | b'1\n' | b'Let v(n) = n**2 + 25*n - 386. Let o be v(11). Solve 5*c + 0*f = -f + o, 14 = 4*c + 2*f for c.\n' | b'1\n' | deepmind/math_dataset |
b'Find the third derivative of -1457 + 51*p**2 - 21*p**5 + 1457 - 3*p**3 wrt p.\n' | b'-1260*p**2 - 18\n' | b'Find the third derivative of -1457 + 51*p**2 - 21*p**5 + 1457 - 3*p**3 wrt p.\n' | b'-1260*p**2 - 18\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 7}. What is prob of picking 4 l?\n' | b'1\n' | b'Four letters picked without replacement from {l: 7}. What is prob of picking 4 l?\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 2, w: 5, m: 3}. What is prob of picking 2 m and 2 j?\n' | b'1/70\n' | b'Four letters picked without replacement from {j: 2, w: 5, m: 3}. What is prob of picking 2 m and 2 j?\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify (l**(3/8)*l*l*l*l/(l/(l*l**(-5/4)*l*l))*l**(-20)/l**(-5))**(4/17) assuming l is positive.\n' | b'l**(-79/34)\n' | b'Simplify (l**(3/8)*l*l*l*l/(l/(l*l**(-5/4)*l*l))*l**(-20)/l**(-5))**(4/17) assuming l is positive.\n' | b'l**(-79/34)\n' | deepmind/math_dataset |
b'Let o be (-1)/3 + 21/9. What is the derivative of 6 - 3 - 2 - d**o - 2*d**2 wrt d?\n' | b'-6*d\n' | b'Let o be (-1)/3 + 21/9. What is the derivative of 6 - 3 - 2 - d**o - 2*d**2 wrt d?\n' | b'-6*d\n' | deepmind/math_dataset |
b'Suppose -3*w = -6, w = -3*i - 0*w + 20. Let j(m) = -m**3 + 6*m**2 - m + 4. Let l be j(i). Let g = 3 + l. Solve -5*z + 4*z = 3*p - 7, 0 = z - g for p.\n' | b'2\n' | b'Suppose -3*w = -6, w = -3*i - 0*w + 20. Let j(m) = -m**3 + 6*m**2 - m + 4. Let l be j(i). Let g = 3 + l. Solve -5*z + 4*z = 3*p - 7, 0 = z - g for p.\n' | b'2\n' | deepmind/math_dataset |
b'What is the second derivative of 4*c + 25*c - 11*c + 23*c + 87*c**4 wrt c?\n' | b'1044*c**2\n' | b'What is the second derivative of 4*c + 25*c - 11*c + 23*c + 87*c**4 wrt c?\n' | b'1044*c**2\n' | deepmind/math_dataset |
b'Let d(l) = -l - 2. Let k be d(-4). Suppose -22 = -2*g - k*u, -g - 2*u + 8 = -1. Solve -5*t + 4*c + g = 0, t = 6*t + 4*c - 37 for t.\n' | b'5\n' | b'Let d(l) = -l - 2. Let k be d(-4). Suppose -22 = -2*g - k*u, -g - 2*u + 8 = -1. Solve -5*t + 4*c + g = 0, t = 6*t + 4*c - 37 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = 5*p - 9 - 1. Let o(k) = 6 - 9 - p + k + 6. What is o(4)?\n' | b'5\n' | b'Suppose 0 = 5*p - 9 - 1. Let o(k) = 6 - 9 - p + k + 6. What is o(4)?\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence nsn when three letters picked without replacement from ssssnnn.\n' | b'4/35\n' | b'Calculate prob of sequence nsn when three letters picked without replacement from ssssnnn.\n' | b'4/35\n' | deepmind/math_dataset |
b'Let d(t) = 60*t**4 - 5*t**3 + t**2 + t - 453. Let o(n) = -4*n**4 + n**3 - n**2 - n. Let l(k) = -d(k) - o(k). Differentiate l(x) with respect to x.\n' | b'-224*x**3 + 12*x**2\n' | b'Let d(t) = 60*t**4 - 5*t**3 + t**2 + t - 453. Let o(n) = -4*n**4 + n**3 - n**2 - n. Let l(k) = -d(k) - o(k). Differentiate l(x) with respect to x.\n' | b'-224*x**3 + 12*x**2\n' | deepmind/math_dataset |
b'Simplify (t*t**(-1/9)*t*t**4)**(-6/7)/(((t/(t/t**(-1)))/t*t)**(1/14))**(-18) assuming t is positive.\n' | b't**(-19/3)\n' | b'Simplify (t*t**(-1/9)*t*t**4)**(-6/7)/(((t/(t/t**(-1)))/t*t)**(1/14))**(-18) assuming t is positive.\n' | b't**(-19/3)\n' | deepmind/math_dataset |
b'Let z(r) = -2*r**2 + 2*r - 3. Suppose -12 = -28*g + 22*g. Suppose g*b = 3*x - 28, b + 3 = 3*x + 4*b. Suppose -k + a = -x, -5*a = -k - 0*k + 22. What is z(k)?\n' | b'-7\n' | b'Let z(r) = -2*r**2 + 2*r - 3. Suppose -12 = -28*g + 22*g. Suppose g*b = 3*x - 28, b + 3 = 3*x + 4*b. Suppose -k + a = -x, -5*a = -k - 0*k + 22. What is z(k)?\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -4*q = q + 4*o - 131, 3*q = -4*o + 85. Let n be (-10)/35 - q*3/(-21). Solve -5*f = 4*b + 6 - 1, 2*f + 9 = -n*b for f.\n' | b'3\n' | b'Suppose -4*q = q + 4*o - 131, 3*q = -4*o + 85. Let n be (-10)/35 - q*3/(-21). Solve -5*f = 4*b + 6 - 1, 2*f + 9 = -n*b for f.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dedeee. Give prob of sequence ed.\n' | b'4/15\n' | b'Two letters picked without replacement from dedeee. Give prob of sequence ed.\n' | b'4/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cceoycqekqe. What is prob of sequence qq?\n' | b'1/55\n' | b'Two letters picked without replacement from cceoycqekqe. What is prob of sequence qq?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let x(y) = -y**3 + y**2 - y + 1. Let o(u) = u**2 + u - 5*u + 2*u - 5*u - 55. Let h(n) = -o(n) + x(n). Find the first derivative of h(q) wrt q.\n' | b'-3*q**2 + 6\n' | b'Let x(y) = -y**3 + y**2 - y + 1. Let o(u) = u**2 + u - 5*u + 2*u - 5*u - 55. Let h(n) = -o(n) + x(n). Find the first derivative of h(q) wrt q.\n' | b'-3*q**2 + 6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 2 g when three letters picked without replacement from {m: 2, g: 3, a: 3, c: 9}.\n' | b'9/680\n' | b'Calculate prob of picking 1 a and 2 g when three letters picked without replacement from {m: 2, g: 3, a: 3, c: 9}.\n' | b'9/680\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dfhdu. What is prob of picking 1 f, 1 u, and 1 d?\n' | b'1/5\n' | b'Three letters picked without replacement from dfhdu. What is prob of picking 1 f, 1 u, and 1 d?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let n(f) = -f**2 + 5*f - 1. Let p be n(4). Let h be (2 - p)/(-1) - -1. What is the third derivative of 2*x**6 - 2*x**6 + x**h - x**6 wrt x?\n' | b'-120*x**3\n' | b'Let n(f) = -f**2 + 5*f - 1. Let p be n(4). Let h be (2 - p)/(-1) - -1. What is the third derivative of 2*x**6 - 2*x**6 + x**h - x**6 wrt x?\n' | b'-120*x**3\n' | deepmind/math_dataset |
b'Let h(g) = g**2 + 25. Let s be h(0). Suppose 5 = -4*z + 13. Let x be (-13 - -3)*(-2)/4. Solve -z*m - y + 5 = -0*m, -s = m - x*y for m.\n' | b'0\n' | b'Let h(g) = g**2 + 25. Let s be h(0). Suppose 5 = -4*z + 13. Let x be (-13 - -3)*(-2)/4. Solve -z*m - y + 5 = -0*m, -s = m - x*y for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let l(k) be the third derivative of 169*k**4/12 + 271*k**3/6 + 101*k**2. Let o(t) = 169*t + 136. Let f(s) = 2*l(s) - 5*o(s). Differentiate f(i) wrt i.\n' | b'-169\n' | b'Let l(k) be the third derivative of 169*k**4/12 + 271*k**3/6 + 101*k**2. Let o(t) = 169*t + 136. Let f(s) = 2*l(s) - 5*o(s). Differentiate f(i) wrt i.\n' | b'-169\n' | deepmind/math_dataset |
b'Let c = -1 + 3. Let b(o) = 3*o + 10 - 2*o**2 + o**c - 6. Determine b(6).\n' | b'-14\n' | b'Let c = -1 + 3. Let b(o) = 3*o + 10 - 2*o**2 + o**c - 6. Determine b(6).\n' | b'-14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oozzkqoczooc. What is prob of sequence qq?\n' | b'0\n' | b'Two letters picked without replacement from oozzkqoczooc. What is prob of sequence qq?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (l**(-1/5)*l*l**(-1)*l)**(-2/65) assuming l is positive.\n' | b'l**(-8/325)\n' | b'Simplify (l**(-1/5)*l*l**(-1)*l)**(-2/65) assuming l is positive.\n' | b'l**(-8/325)\n' | deepmind/math_dataset |
b'Let g(a) = -4*a**3 + 0*a**2 - 6*a**2 + 3*a**2 + 2*a**2. What is g(-1)?\n' | b'3\n' | b'Let g(a) = -4*a**3 + 0*a**2 - 6*a**2 + 3*a**2 + 2*a**2. What is g(-1)?\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from grrrsxgrw. What is prob of sequence wrrx?\n' | b'1/252\n' | b'Four letters picked without replacement from grrrsxgrw. What is prob of sequence wrrx?\n' | b'1/252\n' | deepmind/math_dataset |
b'Let g(z) = 4*z**3 + 1. Let y be g(1). Let m(i) = 3*i**2 - 12*i - 9. Let f be m(5). Solve y*s - f = 4*q, -4*s - 4*q + 6 = -6 for s.\n' | b'2\n' | b'Let g(z) = 4*z**3 + 1. Let y be g(1). Let m(i) = 3*i**2 - 12*i - 9. Let f be m(5). Solve y*s - f = 4*q, -4*s - 4*q + 6 = -6 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (k/(k*k**0))/k*k*k/(k**(-5)*k)*(k*k/((k*k*k**(-1))/k)*k)/k**(3/2)*((k**9/k*k)/k*k**(-6/7))**(-1/37) assuming k is positive.\n' | b'k**(3267/518)\n' | b'Simplify (k/(k*k**0))/k*k*k/(k**(-5)*k)*(k*k/((k*k*k**(-1))/k)*k)/k**(3/2)*((k**9/k*k)/k*k**(-6/7))**(-1/37) assuming k is positive.\n' | b'k**(3267/518)\n' | deepmind/math_dataset |
b'Calculate prob of sequence gg when two letters picked without replacement from tttgaxtagax.\n' | b'1/55\n' | b'Calculate prob of sequence gg when two letters picked without replacement from tttgaxtagax.\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of sequence wv when two letters picked without replacement from {w: 1, m: 5, v: 2, g: 1}?\n' | b'1/36\n' | b'What is prob of sequence wv when two letters picked without replacement from {w: 1, m: 5, v: 2, g: 1}?\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify ((u/(u*(u**(-1/2)*u)/u))/(u/(u/(u**(-1/3)/u)))*u**(3/7)/(u/u**(-5)))/((u**0)**(-23))**(-8) assuming u is positive.\n' | b'u**(-157/42)\n' | b'Simplify ((u/(u*(u**(-1/2)*u)/u))/(u/(u/(u**(-1/3)/u)))*u**(3/7)/(u/u**(-5)))/((u**0)**(-23))**(-8) assuming u is positive.\n' | b'u**(-157/42)\n' | deepmind/math_dataset |
b'Let q(h) be the first derivative of -4*h - 1/2*h**2 - 5. Determine q(3).\n' | b'-7\n' | b'Let q(h) be the first derivative of -4*h - 1/2*h**2 - 5. Determine q(3).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((v**(2/3)/(v*v**(-19)))**(-13/5))**(-44) assuming v is positive.\n' | b'v**(32032/15)\n' | b'Simplify ((v**(2/3)/(v*v**(-19)))**(-13/5))**(-44) assuming v is positive.\n' | b'v**(32032/15)\n' | deepmind/math_dataset |
b'Calculate prob of sequence rs when two letters picked without replacement from psrpppsr.\n' | b'1/14\n' | b'Calculate prob of sequence rs when two letters picked without replacement from psrpppsr.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify (v**(2/11))**(-22)*v**(1/7)*v**(-14) assuming v is positive.\n' | b'v**(-125/7)\n' | b'Simplify (v**(2/11))**(-22)*v**(1/7)*v**(-14) assuming v is positive.\n' | b'v**(-125/7)\n' | deepmind/math_dataset |
b'Let a(u) be the second derivative of u**3/6 + u**2/2 + 37*u - 3. Let s(v) = -v**3 + 12*v**2 - 11*v - 3. Let b be s(11). Determine a(b).\n' | b'-2\n' | b'Let a(u) be the second derivative of u**3/6 + u**2/2 + 37*u - 3. Let s(v) = -v**3 + 12*v**2 - 11*v - 3. Let b be s(11). Determine a(b).\n' | b'-2\n' | deepmind/math_dataset |
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