question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Three letters picked without replacement from {d: 4, t: 1, w: 6, z: 2, b: 3, n: 4}. Give prob of sequence dzb.\n' | b'1/285\n' | b'Three letters picked without replacement from {d: 4, t: 1, w: 6, z: 2, b: 3, n: 4}. Give prob of sequence dzb.\n' | b'1/285\n' | deepmind/math_dataset |
b'Suppose 23 = -5*u + 68. Let f(b) = -b**3 + 10*b**2 + b - 7. Let d be f(10). Solve 3*s + 2*s = 2*k + 15, -4*k = d*s - u for k.\n' | b'0\n' | b'Suppose 23 = -5*u + 68. Let f(b) = -b**3 + 10*b**2 + b - 7. Let d be f(10). Solve 3*s + 2*s = 2*k + 15, -4*k = d*s - u for k.\n' | b'0\n' | deepmind/math_dataset |
b'Let n(w) be the second derivative of -35*w**4/6 - 119*w**3/6 + 10*w - 3. What is the second derivative of n(s) wrt s?\n' | b'-140\n' | b'Let n(w) be the second derivative of -35*w**4/6 - 119*w**3/6 + 10*w - 3. What is the second derivative of n(s) wrt s?\n' | b'-140\n' | deepmind/math_dataset |
b'What is prob of picking 3 e when three letters picked without replacement from eeeeeeeeueueeuueeuee?\n' | b'91/228\n' | b'What is prob of picking 3 e when three letters picked without replacement from eeeeeeeeueueeuueeuee?\n' | b'91/228\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 1, b: 1, i: 1, d: 1, j: 1}. What is prob of sequence bdv?\n' | b'1/60\n' | b'Three letters picked without replacement from {v: 1, b: 1, i: 1, d: 1, j: 1}. What is prob of sequence bdv?\n' | b'1/60\n' | deepmind/math_dataset |
b'Suppose -53*d - 32*d = -29*d + 392. Let s(u) be the second derivative of u**4/12 + 7*u**3/6 - 7*u**2/2 - u. What is s(d)?\n' | b'-7\n' | b'Suppose -53*d - 32*d = -29*d + 392. Let s(u) be the second derivative of u**4/12 + 7*u**3/6 - 7*u**2/2 - u. What is s(d)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let w(g) = -g**2 + g + 6. Let c be w(4). Let f be (2/c)/(6/18). Let x be (-4 - f)/(-5 - -4). Solve -x*v + 5*r + 14 = -2*v, 2*v - 4*r - 16 = 0 for v.\n' | b'4\n' | b'Let w(g) = -g**2 + g + 6. Let c be w(4). Let f be (2/c)/(6/18). Let x be (-4 - f)/(-5 - -4). Solve -x*v + 5*r + 14 = -2*v, 2*v - 4*r - 16 = 0 for v.\n' | b'4\n' | deepmind/math_dataset |
b'Let g(s) = s**3 + s**2 - 3*s - 3. Let f be g(-3). Let r be ((-8)/f)/(4/24). Solve 5*t = t + 12, -t - 1 = r*d for d.\n' | b'-1\n' | b'Let g(s) = s**3 + s**2 - 3*s - 3. Let f be g(-3). Let r be ((-8)/f)/(4/24). Solve 5*t = t + 12, -t - 1 = r*d for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -12 = -5*l + 8. Suppose 3*u + 4 = -3*s - 2, 0 = 3*s + 4*u + 11. Let g = -6 + 11. Solve -v + g = v - h, -s*v = -l*h for v.\n' | b'4\n' | b'Suppose -12 = -5*l + 8. Suppose 3*u + 4 = -3*s - 2, 0 = 3*s + 4*u + 11. Let g = -6 + 11. Solve -v + g = v - h, -s*v = -l*h for v.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence oom when three letters picked without replacement from {a: 5, i: 3, r: 7, m: 2, o: 3}?\n' | b'1/570\n' | b'What is prob of sequence oom when three letters picked without replacement from {a: 5, i: 3, r: 7, m: 2, o: 3}?\n' | b'1/570\n' | deepmind/math_dataset |
b'Suppose 2 = 5*l - d - 13, 2*l + 12 = 4*d. Solve l*b - o = -13, 2*o + 10 = -2*b + b for b.\n' | b'-4\n' | b'Suppose 2 = 5*l - d - 13, 2*l + 12 = 4*d. Solve l*b - o = -13, 2*o + 10 = -2*b + b for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 5, a: 1, v: 5}. Give prob of picking 1 e and 1 v.\n' | b'5/11\n' | b'Two letters picked without replacement from {e: 5, a: 1, v: 5}. Give prob of picking 1 e and 1 v.\n' | b'5/11\n' | deepmind/math_dataset |
b'Let x(i) be the second derivative of -239*i + 0*i**4 + 15/2*i**5 + 0 - 7/6*i**3 - 5/2*i**2. What is the second derivative of x(m) wrt m?\n' | b'900*m\n' | b'Let x(i) be the second derivative of -239*i + 0*i**4 + 15/2*i**5 + 0 - 7/6*i**3 - 5/2*i**2. What is the second derivative of x(m) wrt m?\n' | b'900*m\n' | deepmind/math_dataset |
b'Suppose 30 + 10 = 5*s. Solve -19 = h + 5*r, 4*r + 12 = 4*h - s for h.\n' | b'1\n' | b'Suppose 30 + 10 = 5*s. Solve -19 = h + 5*r, 4*r + 12 = 4*h - s for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let t be -1 + 3 + 8 + -5. Suppose 4*z + 7*p - 2*p = -193, -4*p = t*z + 248. Let f = z - -64. Solve 3*u + f = -4*l + 1, -4*l = u + 17 for u.\n' | b'3\n' | b'Let t be -1 + 3 + 8 + -5. Suppose 4*z + 7*p - 2*p = -193, -4*p = t*z + 248. Let f = z - -64. Solve 3*u + f = -4*l + 1, -4*l = u + 17 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 19*p - 38 = 17*p. Let t = p - 14. Solve t*q = 3*l - l + 25, -22 = 5*l + q for l.\n' | b'-5\n' | b'Suppose 19*p - 38 = 17*p. Let t = p - 14. Solve t*q = 3*l - l + 25, -22 = 5*l + q for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x be 600/(-125) - (0 + -5). Let t(q) be the second derivative of 0*q**3 + 0 + q + 0*q**2 - x*q**5 + 1/6*q**4. Find the third derivative of t(k) wrt k.\n' | b'-24\n' | b'Let x be 600/(-125) - (0 + -5). Let t(q) be the second derivative of 0*q**3 + 0 + q + 0*q**2 - x*q**5 + 1/6*q**4. Find the third derivative of t(k) wrt k.\n' | b'-24\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, k: 4, u: 2}.\n' | b'1/66\n' | b'Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, k: 4, u: 2}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify h**(-10/9)/(h*h*h**(-2/21)*h*h*h)*h**26*h*h**(6/19)*h assuming h is positive.\n' | b'h**(26693/1197)\n' | b'Simplify h**(-10/9)/(h*h*h**(-2/21)*h*h*h)*h**26*h*h**(6/19)*h assuming h is positive.\n' | b'h**(26693/1197)\n' | deepmind/math_dataset |
b'Let x(j) be the third derivative of 7/3*j**3 + 9*j**2 + 0 + 17/24*j**4 + 0*j. Find the first derivative of x(s) wrt s.\n' | b'17\n' | b'Let x(j) be the third derivative of 7/3*j**3 + 9*j**2 + 0 + 17/24*j**4 + 0*j. Find the first derivative of x(s) wrt s.\n' | b'17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fdokqqoqofknqqo. What is prob of picking 1 o, 1 d, and 1 f?\n' | b'8/455\n' | b'Three letters picked without replacement from fdokqqoqofknqqo. What is prob of picking 1 o, 1 d, and 1 f?\n' | b'8/455\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 2 r when three letters picked without replacement from rinrrnrcnnrrknknnirn?\n' | b'7/190\n' | b'What is prob of picking 1 i and 2 r when three letters picked without replacement from rinrrnrcnnrrknknnirn?\n' | b'7/190\n' | deepmind/math_dataset |
b'Let g(b) be the third derivative of -b**5/60 + b**4/24 + 2*b**3/3 - 9*b**2. Give g(0).\n' | b'4\n' | b'Let g(b) be the third derivative of -b**5/60 + b**4/24 + 2*b**3/3 - 9*b**2. Give g(0).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((c**0/c**(1/4)*(c*c/(c**(-1)/c))**(-31))**(-3/14))**(6/35) assuming c is positive.\n' | b'c**(639/140)\n' | b'Simplify ((c**0/c**(1/4)*(c*c/(c**(-1)/c))**(-31))**(-3/14))**(6/35) assuming c is positive.\n' | b'c**(639/140)\n' | deepmind/math_dataset |
b'Let g be -4 + (-12)/((-4)/4). Suppose -6*x = -g*x + 18. Find the second derivative of -x*u**3 + 14*u**3 - 13*u + 8*u**4 - 5*u**3 wrt u.\n' | b'96*u**2\n' | b'Let g be -4 + (-12)/((-4)/4). Suppose -6*x = -g*x + 18. Find the second derivative of -x*u**3 + 14*u**3 - 13*u + 8*u**4 - 5*u**3 wrt u.\n' | b'96*u**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 l when two letters picked without replacement from wouoaxl?\n' | b'1/21\n' | b'What is prob of picking 1 a and 1 l when two letters picked without replacement from wouoaxl?\n' | b'1/21\n' | deepmind/math_dataset |
b'What is prob of sequence xoxq when four letters picked without replacement from xxovqqxov?\n' | b'1/126\n' | b'What is prob of sequence xoxq when four letters picked without replacement from xxovqqxov?\n' | b'1/126\n' | deepmind/math_dataset |
b'Simplify (i*(i**(-1)*i)/i)**(4/3)/(i*i**(-2/5)*i**(-6)) assuming i is positive.\n' | b'i**(27/5)\n' | b'Simplify (i*(i**(-1)*i)/i)**(4/3)/(i*i**(-2/5)*i**(-6)) assuming i is positive.\n' | b'i**(27/5)\n' | deepmind/math_dataset |
b'Simplify ((p**3)**(-2/59)*p/((p/(p/(p/(p/(p*p/(p/p**(-28)*p)*p)))))/p)*p**(1/4))**(-39) assuming p is positive.\n' | b'p**(-268281/236)\n' | b'Simplify ((p**3)**(-2/59)*p/((p/(p/(p/(p/(p*p/(p/p**(-28)*p)*p)))))/p)*p**(1/4))**(-39) assuming p is positive.\n' | b'p**(-268281/236)\n' | deepmind/math_dataset |
b'Let d = 1 - -2. Let b be -6*d/(27/6). Let u(x) = 438*x**2 - 439*x**2 - 2 - 6*x - 4 + x. What is u(b)?\n' | b'-2\n' | b'Let d = 1 - -2. Let b be -6*d/(27/6). Let u(x) = 438*x**2 - 439*x**2 - 2 - 6*x - 4 + x. What is u(b)?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kullulullkuukllkull. What is prob of picking 2 u?\n' | b'5/57\n' | b'Two letters picked without replacement from kullulullkuukllkull. What is prob of picking 2 u?\n' | b'5/57\n' | deepmind/math_dataset |
b'Let q(s) be the second derivative of 0*s**6 - 3/28*s**8 + 0 + 0*s**5 + 0*s**2 + 7/12*s**4 + 0*s**7 + 0*s**3 + 4*s. Find the third derivative of q(f) wrt f.\n' | b'-720*f**3\n' | b'Let q(s) be the second derivative of 0*s**6 - 3/28*s**8 + 0 + 0*s**5 + 0*s**2 + 7/12*s**4 + 0*s**7 + 0*s**3 + 4*s. Find the third derivative of q(f) wrt f.\n' | b'-720*f**3\n' | deepmind/math_dataset |
b'Simplify (n*n**(-2)*n**(6/5))**49 assuming n is positive.\n' | b'n**(49/5)\n' | b'Simplify (n*n**(-2)*n**(6/5))**49 assuming n is positive.\n' | b'n**(49/5)\n' | deepmind/math_dataset |
b'Let d(c) = 39*c**2 - 3*c + 2. Let z(h) = 156*h**2 - 12*h + 9. Let v = 29 + -27. Let r(w) = v*z(w) - 9*d(w). What is the second derivative of r(j) wrt j?\n' | b'-78\n' | b'Let d(c) = 39*c**2 - 3*c + 2. Let z(h) = 156*h**2 - 12*h + 9. Let v = 29 + -27. Let r(w) = v*z(w) - 9*d(w). What is the second derivative of r(j) wrt j?\n' | b'-78\n' | deepmind/math_dataset |
b'Suppose 0 = -r - 4 + 6. Solve -8*q = -4*q - 12, 0 = t + q + r for t.\n' | b'-5\n' | b'Suppose 0 = -r - 4 + 6. Solve -8*q = -4*q - 12, 0 = t + q + r for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(q) be the third derivative of -307*q**6/24 + 1529*q**4/24 + 71*q**2. What is the second derivative of k(w) wrt w?\n' | b'-9210*w\n' | b'Let k(q) be the third derivative of -307*q**6/24 + 1529*q**4/24 + 71*q**2. What is the second derivative of k(w) wrt w?\n' | b'-9210*w\n' | deepmind/math_dataset |
b'Suppose 0 = -31*u + 167 + 639. Find the first derivative of -11 - u - 115 + 216*f**4 - 14*f**4 wrt f.\n' | b'808*f**3\n' | b'Suppose 0 = -31*u + 167 + 639. Find the first derivative of -11 - u - 115 + 216*f**4 - 14*f**4 wrt f.\n' | b'808*f**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wcsspdwwwswk. What is prob of sequence sss?\n' | b'1/220\n' | b'Three letters picked without replacement from wcsspdwwwswk. What is prob of sequence sss?\n' | b'1/220\n' | deepmind/math_dataset |
b'Suppose 9*v = 58 - 22. Let f(j) = -j**3 + 4*j**2 - 1. Determine f(v).\n' | b'-1\n' | b'Suppose 9*v = 58 - 22. Let f(j) = -j**3 + 4*j**2 - 1. Determine f(v).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (n**(-40))**(-2/43)/(((n**(-4/9)*n)/n*n)/n**(-8/3)) assuming n is positive.\n' | b'n**(-527/387)\n' | b'Simplify (n**(-40))**(-2/43)/(((n**(-4/9)*n)/n*n)/n**(-8/3)) assuming n is positive.\n' | b'n**(-527/387)\n' | deepmind/math_dataset |
b'Calculate prob of sequence amkt when four letters picked without replacement from tmkvkvam.\n' | b'1/420\n' | b'Calculate prob of sequence amkt when four letters picked without replacement from tmkvkvam.\n' | b'1/420\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 13, q: 3, z: 1}. What is prob of picking 2 j?\n' | b'39/68\n' | b'Two letters picked without replacement from {j: 13, q: 3, z: 1}. What is prob of picking 2 j?\n' | b'39/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 7}. Give prob of sequence ffff.\n' | b'1\n' | b'Four letters picked without replacement from {f: 7}. Give prob of sequence ffff.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((((x*x/(x/x**(-6)))/x)/x)**(-17/3))**(-46) assuming x is positive.\n' | b'x**(-5474/3)\n' | b'Simplify ((((x*x/(x/x**(-6)))/x)/x)**(-17/3))**(-46) assuming x is positive.\n' | b'x**(-5474/3)\n' | deepmind/math_dataset |
b'Find the third derivative of -b**5 - 3*b**5 - 3*b**5 - 10*b**2 wrt b.\n' | b'-420*b**2\n' | b'Find the third derivative of -b**5 - 3*b**5 - 3*b**5 - 10*b**2 wrt b.\n' | b'-420*b**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 6, v: 4}. Give prob of picking 1 v and 2 n.\n' | b'1/2\n' | b'Three letters picked without replacement from {n: 6, v: 4}. Give prob of picking 1 v and 2 n.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let g = 38 + -32. Solve -3*c = -3*j - 12, 3*j - 10 = -4*c + g for j.\n' | b'0\n' | b'Let g = 38 + -32. Solve -3*c = -3*j - 12, 3*j - 10 = -4*c + g for j.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 3, k: 1, u: 4, e: 2, a: 2}. What is prob of sequence eke?\n' | b'1/660\n' | b'Three letters picked without replacement from {h: 3, k: 1, u: 4, e: 2, a: 2}. What is prob of sequence eke?\n' | b'1/660\n' | deepmind/math_dataset |
b'Let h = 0 - 2. Let y = h - -5. Suppose 5*k - 5 = -5*d, k - 7 = -y*d + 2. Solve 2*p - d = 5*s, -3*s + 5*p = 17 - 7 for s.\n' | b'0\n' | b'Let h = 0 - 2. Let y = h - -5. Suppose 5*k - 5 = -5*d, k - 7 = -y*d + 2. Solve 2*p - d = 5*s, -3*s + 5*p = 17 - 7 for s.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from {c: 4, i: 15}?\n' | b'2/57\n' | b'What is prob of sequence cc when two letters picked without replacement from {c: 4, i: 15}?\n' | b'2/57\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nyyssyhynhnyyhh. What is prob of picking 2 n and 2 y?\n' | b'3/91\n' | b'Four letters picked without replacement from nyyssyhynhnyyhh. What is prob of picking 2 n and 2 y?\n' | b'3/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jqqjmssqoqsjssj. What is prob of sequence jqs?\n' | b'8/273\n' | b'Three letters picked without replacement from jqqjmssqoqsjssj. What is prob of sequence jqs?\n' | b'8/273\n' | deepmind/math_dataset |
b'What is prob of sequence ii when two letters picked without replacement from {w: 5, e: 8, o: 1, g: 1, i: 2}?\n' | b'1/136\n' | b'What is prob of sequence ii when two letters picked without replacement from {w: 5, e: 8, o: 1, g: 1, i: 2}?\n' | b'1/136\n' | deepmind/math_dataset |
b'Calculate prob of sequence su when two letters picked without replacement from uuvuisvsvu.\n' | b'4/45\n' | b'Calculate prob of sequence su when two letters picked without replacement from uuvuisvsvu.\n' | b'4/45\n' | deepmind/math_dataset |
b'Let b(i) = 109*i**2 + 3 - 115*i**2 + 0*i**3 - i**3 - 2*i. Determine b(-4).\n' | b'-21\n' | b'Let b(i) = 109*i**2 + 3 - 115*i**2 + 0*i**3 - i**3 - 2*i. Determine b(-4).\n' | b'-21\n' | deepmind/math_dataset |
b'Find the second derivative of -14*i**5 + i - 40*i**3 + 4*i**5 + 40*i**3 wrt i.\n' | b'-200*i**3\n' | b'Find the second derivative of -14*i**5 + i - 40*i**3 + 4*i**5 + 40*i**3 wrt i.\n' | b'-200*i**3\n' | deepmind/math_dataset |
b'Simplify (((s*s/(s*s**(-23/3))*s)/s**(-28))**(-22))**(-2/121) assuming s is positive.\n' | b's**(452/33)\n' | b'Simplify (((s*s/(s*s**(-23/3))*s)/s**(-28))**(-22))**(-2/121) assuming s is positive.\n' | b's**(452/33)\n' | deepmind/math_dataset |
b'What is prob of sequence cxn when three letters picked without replacement from ncx?\n' | b'1/6\n' | b'What is prob of sequence cxn when three letters picked without replacement from ncx?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from georigogiggeggggrgri.\n' | b'9/38\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from georigogiggeggggrgri.\n' | b'9/38\n' | deepmind/math_dataset |
b'Let s be (-38)/(-10) - (-1)/5. Let c(v) = -v**2 + 6*v - 4. Let x be c(s). Let n be 39/15 - 4/(-10). Solve -t + n*t + x*l = -6, -3 = 3*l for t.\n' | b'-1\n' | b'Let s be (-38)/(-10) - (-1)/5. Let c(v) = -v**2 + 6*v - 4. Let x be c(s). Let n be 39/15 - 4/(-10). Solve -t + n*t + x*l = -6, -3 = 3*l for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from akofxfakokxxxafxxkkk. Give prob of picking 1 x, 1 k, and 1 f.\n' | b'9/95\n' | b'Three letters picked without replacement from akofxfakokxxxafxxkkk. Give prob of picking 1 x, 1 k, and 1 f.\n' | b'9/95\n' | deepmind/math_dataset |
b'What is prob of sequence vpe when three letters picked without replacement from {e: 3, q: 2, p: 2, z: 4, v: 6}?\n' | b'3/340\n' | b'What is prob of sequence vpe when three letters picked without replacement from {e: 3, q: 2, p: 2, z: 4, v: 6}?\n' | b'3/340\n' | deepmind/math_dataset |
b'Simplify v**(-4)/(v/((v/((v*v*v**(-2))/v))/v))*((v/(v/(v/v**1)))/v)**(17/4) assuming v is positive.\n' | b'v**(-33/4)\n' | b'Simplify v**(-4)/(v/((v/((v*v*v**(-2))/v))/v))*((v/(v/(v/v**1)))/v)**(17/4) assuming v is positive.\n' | b'v**(-33/4)\n' | deepmind/math_dataset |
b'Suppose 4*a = 6*a - 40. Suppose -12 = -2*w - 2*w + i, -2*w + 4*i + a = 0. Solve r = -w*z - 8, 5*z + 6 = -4*r - 14 for z.\n' | b'-4\n' | b'Suppose 4*a = 6*a - 40. Suppose -12 = -2*w - 2*w + i, -2*w + 4*i + a = 0. Solve r = -w*z - 8, 5*z + 6 = -4*r - 14 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence wg when two letters picked without replacement from wwwwwgwwgwwww?\n' | b'11/78\n' | b'What is prob of sequence wg when two letters picked without replacement from wwwwwgwwgwwww?\n' | b'11/78\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 8, v: 8, c: 4}. Give prob of sequence lcv.\n' | b'32/855\n' | b'Three letters picked without replacement from {l: 8, v: 8, c: 4}. Give prob of sequence lcv.\n' | b'32/855\n' | deepmind/math_dataset |
b'Simplify (c**6*c*c**(-2)*c*c)/((c/c**(-4))/c**0)*((c**1*c)**(1/61))**(35/2) assuming c is positive.\n' | b'c**(157/61)\n' | b'Simplify (c**6*c*c**(-2)*c*c)/((c/c**(-4))/c**0)*((c**1*c)**(1/61))**(35/2) assuming c is positive.\n' | b'c**(157/61)\n' | deepmind/math_dataset |
b'Calculate prob of sequence huyy when four letters picked without replacement from uwyuuynnyyyyh.\n' | b'3/572\n' | b'Calculate prob of sequence huyy when four letters picked without replacement from uwyuuynnyyyyh.\n' | b'3/572\n' | deepmind/math_dataset |
b'What is prob of sequence ej when two letters picked without replacement from {e: 1, s: 1, j: 2, c: 2, y: 10}?\n' | b'1/120\n' | b'What is prob of sequence ej when two letters picked without replacement from {e: 1, s: 1, j: 2, c: 2, y: 10}?\n' | b'1/120\n' | deepmind/math_dataset |
b'Find the second derivative of 1156*y**3 + 1161*y**3 + 1158*y**3 + 2*y**2 + 3*y**5 - 49*y**5 + 4876*y - 3474*y**3 wrt y.\n' | b'-920*y**3 + 6*y + 4\n' | b'Find the second derivative of 1156*y**3 + 1161*y**3 + 1158*y**3 + 2*y**2 + 3*y**5 - 49*y**5 + 4876*y - 3474*y**3 wrt y.\n' | b'-920*y**3 + 6*y + 4\n' | deepmind/math_dataset |
b'Let x(b) be the first derivative of 0*b**4 + 0*b + 0*b**5 + 4*b**3 + 0*b**2 - 19 + 5/3*b**6. What is the third derivative of x(z) wrt z?\n' | b'600*z**2\n' | b'Let x(b) be the first derivative of 0*b**4 + 0*b + 0*b**5 + 4*b**3 + 0*b**2 - 19 + 5/3*b**6. What is the third derivative of x(z) wrt z?\n' | b'600*z**2\n' | deepmind/math_dataset |
b'Let z(j) = 3 + 4*j**3 - 5*j**3 - 3*j + 2*j**3 - 3*j**2. Let m be z(4). Let n = m - 7. Solve 7 = -3*d - 2*g, n = 3*d - 3*g + 2*g - 8 for d.\n' | b'1\n' | b'Let z(j) = 3 + 4*j**3 - 5*j**3 - 3*j + 2*j**3 - 3*j**2. Let m be z(4). Let n = m - 7. Solve 7 = -3*d - 2*g, n = 3*d - 3*g + 2*g - 8 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (i/i**(-1/4))/i**7*i**2/i**(1/10) assuming i is positive.\n' | b'i**(-77/20)\n' | b'Simplify (i/i**(-1/4))/i**7*i**2/i**(1/10) assuming i is positive.\n' | b'i**(-77/20)\n' | deepmind/math_dataset |
b'Let u(g) be the second derivative of -g**7/21 - 3*g**4/2 + 57*g**3 + 4*g - 68. What is the second derivative of u(w) wrt w?\n' | b'-40*w**3 - 36\n' | b'Let u(g) be the second derivative of -g**7/21 - 3*g**4/2 + 57*g**3 + 4*g - 68. What is the second derivative of u(w) wrt w?\n' | b'-40*w**3 - 36\n' | deepmind/math_dataset |
b'Calculate prob of sequence ss when two letters picked without replacement from asgsgss.\n' | b'2/7\n' | b'Calculate prob of sequence ss when two letters picked without replacement from asgsgss.\n' | b'2/7\n' | deepmind/math_dataset |
b'Simplify (((z**(1/7)/z)/z)/z*z**(1/4))**(-2/59)*(((z*z/(z**8*z))/z)/(z*z**(-8)))**(-2/21) assuming z is positive.\n' | b'z**(65/354)\n' | b'Simplify (((z**(1/7)/z)/z)/z*z**(1/4))**(-2/59)*(((z*z/(z**8*z))/z)/(z*z**(-8)))**(-2/21) assuming z is positive.\n' | b'z**(65/354)\n' | deepmind/math_dataset |
b'Find the third derivative of 20*m**2 - 7 - 40*m**4 + 142*m**5 - 23*m**2 + 40*m**4 wrt m.\n' | b'8520*m**2\n' | b'Find the third derivative of 20*m**2 - 7 - 40*m**4 + 142*m**5 - 23*m**2 + 40*m**4 wrt m.\n' | b'8520*m**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 1, x: 1, d: 11, f: 4}. Give prob of sequence dxmf.\n' | b'11/14280\n' | b'Four letters picked without replacement from {m: 1, x: 1, d: 11, f: 4}. Give prob of sequence dxmf.\n' | b'11/14280\n' | deepmind/math_dataset |
b'Suppose 8 + 0 = 2*v. What is the derivative of -m**4 + m**4 + 5*m**v - 3 wrt m?\n' | b'20*m**3\n' | b'Suppose 8 + 0 = 2*v. What is the derivative of -m**4 + m**4 + 5*m**v - 3 wrt m?\n' | b'20*m**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 4, b: 16}. Give prob of sequence uuu.\n' | b'1/285\n' | b'Three letters picked without replacement from {u: 4, b: 16}. Give prob of sequence uuu.\n' | b'1/285\n' | deepmind/math_dataset |
b'Let i(r) be the second derivative of -5393*r**4/6 + 1612*r**3 - 8355*r. What is the second derivative of i(m) wrt m?\n' | b'-21572\n' | b'Let i(r) be the second derivative of -5393*r**4/6 + 1612*r**3 - 8355*r. What is the second derivative of i(m) wrt m?\n' | b'-21572\n' | deepmind/math_dataset |
b'What is the third derivative of 469*q**2 + 6*q**4 + 888*q**5 - 2677*q**5 + 885*q**5 + 872*q**5 wrt q?\n' | b'-1920*q**2 + 144*q\n' | b'What is the third derivative of 469*q**2 + 6*q**4 + 888*q**5 - 2677*q**5 + 885*q**5 + 872*q**5 wrt q?\n' | b'-1920*q**2 + 144*q\n' | deepmind/math_dataset |
b'Let w = 5 - 10. Let v = 5 + w. Let b be v - 0 - 0/2. Solve -4*l + 20 = 4*p - b, -4*l - 3*p + 19 = 0 for l.\n' | b'4\n' | b'Let w = 5 - 10. Let v = 5 + w. Let b be v - 0 - 0/2. Solve -4*l + 20 = 4*p - b, -4*l - 3*p + 19 = 0 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Let i be ((-29)/58)/((-1)/(-6)) + 25/5. Solve i*y + 25 = 5*w, 0 = -w + 4*y + 4 + 1 for w.\n' | b'5\n' | b'Let i be ((-29)/58)/((-1)/(-6)) + 25/5. Solve i*y + 25 = 5*w, 0 = -w + 4*y + 4 + 1 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let a(x) = 4*x**2 + x - 1. Let m(p) = 17*p**2 + 10*p - 33. Let v(n) = 4*a(n) - m(n). Let r be v(-9). Solve 0 = -g + r*t - 1, 0 = 2*g - 5*g + t + 12 for g.\n' | b'5\n' | b'Let a(x) = 4*x**2 + x - 1. Let m(p) = 17*p**2 + 10*p - 33. Let v(n) = 4*a(n) - m(n). Let r be v(-9). Solve 0 = -g + r*t - 1, 0 = 2*g - 5*g + t + 12 for g.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 i when two letters picked without replacement from wseitwemi?\n' | b'1/9\n' | b'What is prob of picking 1 e and 1 i when two letters picked without replacement from wseitwemi?\n' | b'1/9\n' | deepmind/math_dataset |
b'Simplify (u*u**(-7))**20*u**(-7)/u*u*u*u*u/u**(-14/9)*u*u assuming u is positive.\n' | b'u**(-1084/9)\n' | b'Simplify (u*u**(-7))**20*u**(-7)/u*u*u*u*u/u**(-14/9)*u*u assuming u is positive.\n' | b'u**(-1084/9)\n' | deepmind/math_dataset |
b'Let n(h) be the first derivative of 7*h**3 - h - 134. Determine n(1).\n' | b'20\n' | b'Let n(h) be the first derivative of 7*h**3 - h - 134. Determine n(1).\n' | b'20\n' | deepmind/math_dataset |
b'Let s(y) be the first derivative of -97*y**5 - 458*y - 667. Differentiate s(h) wrt h.\n' | b'-1940*h**3\n' | b'Let s(y) be the first derivative of -97*y**5 - 458*y - 667. Differentiate s(h) wrt h.\n' | b'-1940*h**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 q and 1 f when three letters picked without replacement from fqqffffqlfqffqqfqqq?\n' | b'108/323\n' | b'What is prob of picking 2 q and 1 f when three letters picked without replacement from fqqffffqlfqffqqfqqq?\n' | b'108/323\n' | deepmind/math_dataset |
b'Let b(l) be the third derivative of 0 + 0*l + 1/60*l**5 + 5/24*l**4 - l**2 + 1/2*l**3. Determine b(-3).\n' | b'-3\n' | b'Let b(l) be the third derivative of 0 + 0*l + 1/60*l**5 + 5/24*l**4 - l**2 + 1/2*l**3. Determine b(-3).\n' | b'-3\n' | deepmind/math_dataset |
b'Differentiate 828*r**4 + 830*r**4 - 4244 - 1657*r**4 - r**3 + 1239*r**2 wrt r.\n' | b'4*r**3 - 3*r**2 + 2478*r\n' | b'Differentiate 828*r**4 + 830*r**4 - 4244 - 1657*r**4 - r**3 + 1239*r**2 wrt r.\n' | b'4*r**3 - 3*r**2 + 2478*r\n' | deepmind/math_dataset |
b'Differentiate 9*u**2 - 6 + 4 - 8 with respect to u.\n' | b'18*u\n' | b'Differentiate 9*u**2 - 6 + 4 - 8 with respect to u.\n' | b'18*u\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from {p: 4, r: 3, v: 6, b: 4}.\n' | b'15/136\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from {p: 4, r: 3, v: 6, b: 4}.\n' | b'15/136\n' | deepmind/math_dataset |
b'Let a(u) = -u - 14. Let l be a(-16). Solve -i = l*c - 8, c + 4*i = -c + 2 for c.\n' | b'5\n' | b'Let a(u) = -u - 14. Let l be a(-16). Solve -i = l*c - 8, c + 4*i = -c + 2 for c.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (f/(f**14/f)*f)/f**9 assuming f is positive.\n' | b'f**(-20)\n' | b'Simplify (f/(f**14/f)*f)/f**9 assuming f is positive.\n' | b'f**(-20)\n' | deepmind/math_dataset |
b'What is prob of sequence yvv when three letters picked without replacement from {y: 1, j: 3, u: 1, v: 2}?\n' | b'1/105\n' | b'What is prob of sequence yvv when three letters picked without replacement from {y: 1, j: 3, u: 1, v: 2}?\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of sequence bs when two letters picked without replacement from {b: 14, s: 5}?\n' | b'35/171\n' | b'What is prob of sequence bs when two letters picked without replacement from {b: 14, s: 5}?\n' | b'35/171\n' | deepmind/math_dataset |
b'Let o(a) = -67*a**2 - 1. Let g be o(1). Let d = g - -90. Find the second derivative of -4*k**5 - d*k - 371*k**3 + 371*k**3 wrt k.\n' | b'-80*k**3\n' | b'Let o(a) = -67*a**2 - 1. Let g be o(1). Let d = g - -90. Find the second derivative of -4*k**5 - d*k - 371*k**3 + 371*k**3 wrt k.\n' | b'-80*k**3\n' | deepmind/math_dataset |
b'Suppose f = -3*j + 17 - 26, 15 = -4*f - 5*j. Let y = -43 - -48. Solve y*t - 3*h + 3 = 0, 4*t + f*h + 8 = h for t.\n' | b'-3\n' | b'Suppose f = -3*j + 17 - 26, 15 = -4*f - 5*j. Let y = -43 - -48. Solve y*t - 3*h + 3 = 0, 4*t + f*h + 8 = h for t.\n' | b'-3\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.