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'Four letters picked without replacement from yebybbebbweyab. Give prob of sequence yawy.\n' | b'1/4004\n' | b'Four letters picked without replacement from yebybbebbweyab. Give prob of sequence yawy.\n' | b'1/4004\n' | deepmind/math_dataset |
b'Let t be (-4 - -2 - (-1 + -2))*0. Let b(m) = -m**2 - 19. Give b(t).\n' | b'-19\n' | b'Let t be (-4 - -2 - (-1 + -2))*0. Let b(m) = -m**2 - 19. Give b(t).\n' | b'-19\n' | deepmind/math_dataset |
b'Let y = 10619 - 10617. Solve -x - y*l - 9 = 0, 3*l + 28 = 5*x + 8 for x.\n' | b'1\n' | b'Let y = 10619 - 10617. Solve -x - y*l - 9 = 0, 3*l + 28 = 5*x + 8 for x.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 3 t when three letters picked without replacement from ststtstsstst?\n' | b'1/11\n' | b'What is prob of picking 3 t when three letters picked without replacement from ststtstsstst?\n' | b'1/11\n' | deepmind/math_dataset |
b'Suppose -10*d - 3044 = -3094. Solve 4*q = -d*l - 4, 5*q + 15*l = 19*l - 5 for q.\n' | b'-1\n' | b'Suppose -10*d - 3044 = -3094. Solve 4*q = -d*l - 4, 5*q + 15*l = 19*l - 5 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Let t(w) = w**3 - 3*w + 3. Let f be t(1). Let h(m) = 21*m - 6. Let s be h(f). Solve 14 = 2*l - 2*a, -5*l + 3*a = -s - 10 for l.\n' | b'2\n' | b'Let t(w) = w**3 - 3*w + 3. Let f be t(1). Let h(m) = 21*m - 6. Let s be h(f). Solve 14 = 2*l - 2*a, -5*l + 3*a = -s - 10 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Let h = 18 - 14. Solve 2*m + p - h = -p, 5 = 2*m + p for m.\n' | b'3\n' | b'Let h = 18 - 14. Solve 2*m + p - h = -p, 5 = 2*m + p for m.\n' | b'3\n' | deepmind/math_dataset |
b'Let i = 819 + -815. What is the third derivative of 0*n**i - 3*n**3 + 0*n**4 - 46*n**4 - 5*n**3 + 17 + 9*n**3 - 9*n**2 wrt n?\n' | b'-1104*n + 6\n' | b'Let i = 819 + -815. What is the third derivative of 0*n**i - 3*n**3 + 0*n**4 - 46*n**4 - 5*n**3 + 17 + 9*n**3 - 9*n**2 wrt n?\n' | b'-1104*n + 6\n' | deepmind/math_dataset |
b'What is the third derivative of 4873*i**6 - 12*i**2 + 11537 - 11559 + i - i + i wrt i?\n' | b'584760*i**3\n' | b'What is the third derivative of 4873*i**6 - 12*i**2 + 11537 - 11559 + i - i + i wrt i?\n' | b'584760*i**3\n' | deepmind/math_dataset |
b'Let o(p) = -4*p - 1. Let b(f) = f - 2. Let j be b(3). Let q be o(j). Let z = q - -7. Solve -3*h + 4*h = -2*u + 2, -u = -z*h - 11 for u.\n' | b'3\n' | b'Let o(p) = -4*p - 1. Let b(f) = f - 2. Let j be b(3). Let q be o(j). Let z = q - -7. Solve -3*h + 4*h = -2*u + 2, -u = -z*h - 11 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, d: 1, q: 2, t: 2, e: 1, l: 1}. What is prob of sequence it?\n' | b'1/28\n' | b'Two letters picked without replacement from {i: 1, d: 1, q: 2, t: 2, e: 1, l: 1}. What is prob of sequence it?\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence hu when two letters picked without replacement from {u: 4, x: 2, b: 7, h: 1}.\n' | b'2/91\n' | b'Calculate prob of sequence hu when two letters picked without replacement from {u: 4, x: 2, b: 7, h: 1}.\n' | b'2/91\n' | deepmind/math_dataset |
b'Suppose 6*c + 40 = c + 5*o, 0 = -4*c - o - 22. Suppose -3*z - j = 33, -5*z + 0*j = -4*j + 38. Let r = c - z. Solve g - 7 = r*t - 0*g, 4*g - 15 = 3*t for t.\n' | b'-1\n' | b'Suppose 6*c + 40 = c + 5*o, 0 = -4*c - o - 22. Suppose -3*z - j = 33, -5*z + 0*j = -4*j + 38. Let r = c - z. Solve g - 7 = r*t - 0*g, 4*g - 15 = 3*t for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a be 5*10/(-200)*-108. Solve q + 5*k - 21 = 0, a = 4*k + 11 for q.\n' | b'1\n' | b'Let a be 5*10/(-200)*-108. Solve q + 5*k - 21 = 0, a = 4*k + 11 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Let s be (2 - 1) + 15 + -16. Let r be (-1 - s) + (-18 - -19). What is the third derivative of -3*o**2 - 3*o**2 + 5*o**3 + r*o**2 - 2*o**2 wrt o?\n' | b'30\n' | b'Let s be (2 - 1) + 15 + -16. Let r be (-1 - s) + (-18 - -19). What is the third derivative of -3*o**2 - 3*o**2 + 5*o**3 + r*o**2 - 2*o**2 wrt o?\n' | b'30\n' | deepmind/math_dataset |
b'Let c(p) = p**3 + 5*p**2 + p - 3. Let m = -39 + 35. Let y be c(m). Solve -3*o = 3*w + y - 0, 4*w + 18 = -o for o.\n' | b'2\n' | b'Let c(p) = p**3 + 5*p**2 + p - 3. Let m = -39 + 35. Let y be c(m). Solve -3*o = 3*w + y - 0, 4*w + 18 = -o for o.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 2, h: 5}. Give prob of sequence hzz.\n' | b'1/21\n' | b'Three letters picked without replacement from {z: 2, h: 5}. Give prob of sequence hzz.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let d(h) = 2*h**2 + 48*h - 48. Let k(r) = 2*r**2 - 95*r - 172. Let o be k(49). Determine d(o).\n' | b'2\n' | b'Let d(h) = 2*h**2 + 48*h - 48. Let k(r) = 2*r**2 - 95*r - 172. Let o be k(49). Determine d(o).\n' | b'2\n' | deepmind/math_dataset |
b'Let k(r) be the second derivative of -2*r**3/3 - r**2/2 + r. Suppose 1668*b = 1664*b - 12. What is k(b)?\n' | b'11\n' | b'Let k(r) be the second derivative of -2*r**3/3 - r**2/2 + r. Suppose 1668*b = 1664*b - 12. What is k(b)?\n' | b'11\n' | deepmind/math_dataset |
b'Simplify (d**(2/17)*d)/d**(-5)*d*d*d*d**(-8)*d*d**(-4)/d*d*d*d/(d/d**4)*d**(2/13)*(d**(-2)*d)**46 assuming d is positive.\n' | b'd**(-9443/221)\n' | b'Simplify (d**(2/17)*d)/d**(-5)*d*d*d*d**(-8)*d*d**(-4)/d*d*d*d/(d/d**4)*d**(2/13)*(d**(-2)*d)**46 assuming d is positive.\n' | b'd**(-9443/221)\n' | deepmind/math_dataset |
b'Let p = 15 - 15. Solve p*y + y = -2*q + 6, 0 = y - q + 6 for y.\n' | b'-2\n' | b'Let p = 15 - 15. Solve p*y + y = -2*q + 6, 0 = y - q + 6 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z be (3 + 0)*(-8 - -15). Let o = 34 - z. Let s = -11 + o. Let f(k) = -5*k - 2. What is f(s)?\n' | b'-12\n' | b'Let z be (3 + 0)*(-8 - -15). Let o = 34 - z. Let s = -11 + o. Let f(k) = -5*k - 2. What is f(s)?\n' | b'-12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oblllsylooobylyohlyl. What is prob of picking 1 h and 1 y?\n' | b'2/95\n' | b'Two letters picked without replacement from oblllsylooobylyohlyl. What is prob of picking 1 h and 1 y?\n' | b'2/95\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {j: 2, f: 1, g: 1, z: 2, s: 6, e: 8}.\n' | b'1/190\n' | b'Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {j: 2, f: 1, g: 1, z: 2, s: 6, e: 8}.\n' | b'1/190\n' | deepmind/math_dataset |
b'Simplify (w*(w*w**(-1/6))/w)/((w/((w*w**2)/w))/w*w*w)*w/w**(-3/11)*w*w**5 assuming w is positive.\n' | b'w**(535/66)\n' | b'Simplify (w*(w*w**(-1/6))/w)/((w/((w*w**2)/w))/w*w*w)*w/w**(-3/11)*w*w**5 assuming w is positive.\n' | b'w**(535/66)\n' | deepmind/math_dataset |
b'Simplify (c**(-2/11)*c**(2/15)/c)**(-4/23)*((c**(-2))**(-3/19))**14 assuming c is positive.\n' | b'c**(331928/72105)\n' | b'Simplify (c**(-2/11)*c**(2/15)/c)**(-4/23)*((c**(-2))**(-3/19))**14 assuming c is positive.\n' | b'c**(331928/72105)\n' | deepmind/math_dataset |
b'Let f(c) be the second derivative of 287*c**6/30 - 75*c**2 - 18*c. Find the first derivative of f(r) wrt r.\n' | b'1148*r**3\n' | b'Let f(c) be the second derivative of 287*c**6/30 - 75*c**2 - 18*c. Find the first derivative of f(r) wrt r.\n' | b'1148*r**3\n' | deepmind/math_dataset |
b'What is prob of sequence ok when two letters picked without replacement from {k: 3, i: 5, t: 1, h: 3, o: 1, q: 5}?\n' | b'1/102\n' | b'What is prob of sequence ok when two letters picked without replacement from {k: 3, i: 5, t: 1, h: 3, o: 1, q: 5}?\n' | b'1/102\n' | deepmind/math_dataset |
b'Calculate prob of sequence aaa when three letters picked without replacement from {a: 8, p: 5, v: 2}.\n' | b'8/65\n' | b'Calculate prob of sequence aaa when three letters picked without replacement from {a: 8, p: 5, v: 2}.\n' | b'8/65\n' | deepmind/math_dataset |
b'Let y(k) be the first derivative of -k**7/14 + k**4/6 - 3*k - 3. Let z(o) be the first derivative of y(o). Find the third derivative of z(c) wrt c.\n' | b'-180*c**2\n' | b'Let y(k) be the first derivative of -k**7/14 + k**4/6 - 3*k - 3. Let z(o) be the first derivative of y(o). Find the third derivative of z(c) wrt c.\n' | b'-180*c**2\n' | deepmind/math_dataset |
b'Simplify (((p*p*p*p**2/p*p**(1/4)/p)/(((p*p**(2/5))/p)/(p/p**5)))**(-5/14))**(-8/5) assuming p is positive.\n' | b'p**(-23/35)\n' | b'Simplify (((p*p*p*p**2/p*p**(1/4)/p)/(((p*p**(2/5))/p)/(p/p**5)))**(-5/14))**(-8/5) assuming p is positive.\n' | b'p**(-23/35)\n' | deepmind/math_dataset |
b'Simplify ((z/z**(12/5))/z**9)/(z/(z**(-4/9)*z))**(-27) assuming z is positive.\n' | b'z**(8/5)\n' | b'Simplify ((z/z**(12/5))/z**9)/(z/(z**(-4/9)*z))**(-27) assuming z is positive.\n' | b'z**(8/5)\n' | deepmind/math_dataset |
b'Let d be 11 + 0/1 - 16/4. What is the third derivative of 27*p**5 - 4*p**2 + 15*p**6 + 12*p - d*p**6 + 0*p - 10*p**6 wrt p?\n' | b'-240*p**3 + 1620*p**2\n' | b'Let d be 11 + 0/1 - 16/4. What is the third derivative of 27*p**5 - 4*p**2 + 15*p**6 + 12*p - d*p**6 + 0*p - 10*p**6 wrt p?\n' | b'-240*p**3 + 1620*p**2\n' | deepmind/math_dataset |
b'Simplify (z/z**(-2/7))**(3/11)*(z**(1/4))**(3/20) assuming z is positive.\n' | b'z**(2391/6160)\n' | b'Simplify (z/z**(-2/7))**(3/11)*(z**(1/4))**(3/20) assuming z is positive.\n' | b'z**(2391/6160)\n' | deepmind/math_dataset |
b'Let v(y) = -y**3 + 14*y**2 - 18*y - 58. Let p be v(12). Solve -4*o + 4 = 2*h, 2*o - 4*h - p = -o for o.\n' | b'2\n' | b'Let v(y) = -y**3 + 14*y**2 - 18*y - 58. Let p be v(12). Solve -4*o + 4 = 2*h, 2*o - 4*h - p = -o for o.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(y) be the second derivative of -3*y**5/10 - 4*y**2 - 8*y. Differentiate g(z) with respect to z.\n' | b'-18*z**2\n' | b'Let g(y) be the second derivative of -3*y**5/10 - 4*y**2 - 8*y. Differentiate g(z) with respect to z.\n' | b'-18*z**2\n' | deepmind/math_dataset |
b'Find the second derivative of 0*w - 10*w**2 + 16*w + 34 + 100*w**2 - 15*w wrt w.\n' | b'180\n' | b'Find the second derivative of 0*w - 10*w**2 + 16*w + 34 + 100*w**2 - 15*w wrt w.\n' | b'180\n' | deepmind/math_dataset |
b'Let f be 4 - -1*(-3 + -1). Suppose 2*w - 7 - 1 = f. Solve 3*h = 5*k + 20, 0 = -w*h - 3*k - 0*k - 12 for h.\n' | b'0\n' | b'Let f be 4 - -1*(-3 + -1). Suppose 2*w - 7 - 1 = f. Solve 3*h = 5*k + 20, 0 = -w*h - 3*k - 0*k - 12 for h.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify y*y/(y*y**(1/9))*y**(1/2) assuming y is positive.\n' | b'y**(25/18)\n' | b'Simplify y*y/(y*y**(1/9))*y**(1/2) assuming y is positive.\n' | b'y**(25/18)\n' | deepmind/math_dataset |
b'What is prob of sequence xx when two letters picked without replacement from {g: 5, x: 9}?\n' | b'36/91\n' | b'What is prob of sequence xx when two letters picked without replacement from {g: 5, x: 9}?\n' | b'36/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 2, v: 3}. Give prob of picking 1 v and 1 u.\n' | b'3/5\n' | b'Two letters picked without replacement from {u: 2, v: 3}. Give prob of picking 1 v and 1 u.\n' | b'3/5\n' | deepmind/math_dataset |
b'Let y(o) be the third derivative of -o**6/120 + o**5/30 + 5*o**4/24 - o**3/2 - 4*o**2. Let w be y(3). Solve 0 = -2*p + z - 1, w*z - 4 = -z for p.\n' | b'0\n' | b'Let y(o) be the third derivative of -o**6/120 + o**5/30 + 5*o**4/24 - o**3/2 - 4*o**2. Let w be y(3). Solve 0 = -2*p + z - 1, w*z - 4 = -z for p.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence ata when three letters picked without replacement from {t: 9, a: 9}.\n' | b'9/68\n' | b'Calculate prob of sequence ata when three letters picked without replacement from {t: 9, a: 9}.\n' | b'9/68\n' | deepmind/math_dataset |
b'Simplify (l/(l**(2/3)*l))**(2/21)*l**6*l**(-3) assuming l is positive.\n' | b'l**(185/63)\n' | b'Simplify (l/(l**(2/3)*l))**(2/21)*l**6*l**(-3) assuming l is positive.\n' | b'l**(185/63)\n' | deepmind/math_dataset |
b'Let t be 78/(-39) - (-1 + -8). Let h(o) = t*o + 0*o - 12 - 13*o + 5*o. Determine h(-7).\n' | b'-5\n' | b'Let t be 78/(-39) - (-1 + -8). Let h(o) = t*o + 0*o - 12 - 13*o + 5*o. Determine h(-7).\n' | b'-5\n' | deepmind/math_dataset |
b'Let j(p) = -p**2 - p - 7. Let a(n) = n**2 - 7*n + 4. Let h be a(7). Suppose -2*g + 4 = 4*x, 6*g - 4 = 3*g - h*x. Calculate j(g).\n' | b'-7\n' | b'Let j(p) = -p**2 - p - 7. Let a(n) = n**2 - 7*n + 4. Let h be a(7). Suppose -2*g + 4 = 4*x, 6*g - 4 = 3*g - h*x. Calculate j(g).\n' | b'-7\n' | deepmind/math_dataset |
b'Let z(n) = -2417*n**3 + 10*n**2 - 2836*n - 30. Let k(j) = -j**3 - j**2 - j + 3. Let w(d) = -10*k(d) - z(d). Find the second derivative of w(p) wrt p.\n' | b'14562*p\n' | b'Let z(n) = -2417*n**3 + 10*n**2 - 2836*n - 30. Let k(j) = -j**3 - j**2 - j + 3. Let w(d) = -10*k(d) - z(d). Find the second derivative of w(p) wrt p.\n' | b'14562*p\n' | deepmind/math_dataset |
b'Let k(j) be the third derivative of 199*j**6/120 + j**5/60 - 212*j**3/3 + 1354*j**2. Find the first derivative of k(o) wrt o.\n' | b'597*o**2 + 2*o\n' | b'Let k(j) be the third derivative of 199*j**6/120 + j**5/60 - 212*j**3/3 + 1354*j**2. Find the first derivative of k(o) wrt o.\n' | b'597*o**2 + 2*o\n' | deepmind/math_dataset |
b'Let o be -2 - (-6 - 2/(-1)). Solve -4*c - o*y - 6 = 10, 4*c = 2*y - 24 for c.\n' | b'-5\n' | b'Let o be -2 - (-6 - 2/(-1)). Solve -4*c - o*y - 6 = 10, 4*c = 2*y - 24 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(h) = h**2 - 29*h - 60. Let p be x(31). Suppose -j = 2*j - 9. Solve -15 = 4*o - b, p*o + 20 + 5 = -j*b for o.\n' | b'-5\n' | b'Let x(h) = h**2 - 29*h - 60. Let p be x(31). Suppose -j = 2*j - 9. Solve -15 = 4*o - b, p*o + 20 + 5 = -j*b for o.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (p/(p/(p/(p*p/p**(2/9))))*p*p/(p**(-2/17)/p))/(p**(3/2)*p*p**(-2/7)) assuming p is positive.\n' | b'p**(269/2142)\n' | b'Simplify (p/(p/(p/(p*p/p**(2/9))))*p*p/(p**(-2/17)/p))/(p**(3/2)*p*p**(-2/7)) assuming p is positive.\n' | b'p**(269/2142)\n' | deepmind/math_dataset |
b'Let w(m) be the second derivative of m**5/20 + 77*m**4/12 - 619*m**2/2 + 270*m. What is the first derivative of w(g) wrt g?\n' | b'3*g**2 + 154*g\n' | b'Let w(m) be the second derivative of m**5/20 + 77*m**4/12 - 619*m**2/2 + 270*m. What is the first derivative of w(g) wrt g?\n' | b'3*g**2 + 154*g\n' | deepmind/math_dataset |
b'Simplify (((m**(-28)*m*m*m)**(3/10))**(2/31))**(-32) assuming m is positive.\n' | b'm**(480/31)\n' | b'Simplify (((m**(-28)*m*m*m)**(3/10))**(2/31))**(-32) assuming m is positive.\n' | b'm**(480/31)\n' | deepmind/math_dataset |
b'Simplify l**35/(l*l*l*l**40*l)*(l*l*l/l**(11/2))**(8/7) assuming l is positive.\n' | b'l**(-83/7)\n' | b'Simplify l**35/(l*l*l*l**40*l)*(l*l*l/l**(11/2))**(8/7) assuming l is positive.\n' | b'l**(-83/7)\n' | deepmind/math_dataset |
b'Let r(y) = -y**3 - y**2 + 4. Let f be r(0). Let b be 3/((-6)/f) - (8 - 15). What is the third derivative of 22 - 22 + 14*k**2 - 13*k**5 + 2*k**b wrt k?\n' | b'-660*k**2\n' | b'Let r(y) = -y**3 - y**2 + 4. Let f be r(0). Let b be 3/((-6)/f) - (8 - 15). What is the third derivative of 22 - 22 + 14*k**2 - 13*k**5 + 2*k**b wrt k?\n' | b'-660*k**2\n' | deepmind/math_dataset |
b'Simplify (u**(4/15)*u)/(u*u**(-2/27)) assuming u is positive.\n' | b'u**(46/135)\n' | b'Simplify (u**(4/15)*u)/(u*u**(-2/27)) assuming u is positive.\n' | b'u**(46/135)\n' | deepmind/math_dataset |
b'What is the second derivative of -170*d**3 + 33979*d - 5*d**2 - 14*d**5 + 5*d**2 - 30365*d wrt d?\n' | b'-280*d**3 - 1020*d\n' | b'What is the second derivative of -170*d**3 + 33979*d - 5*d**2 - 14*d**5 + 5*d**2 - 30365*d wrt d?\n' | b'-280*d**3 - 1020*d\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uzaaauazua. What is prob of picking 2 a and 2 u?\n' | b'1/7\n' | b'Four letters picked without replacement from uzaaauazua. What is prob of picking 2 a and 2 u?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is prob of picking 3 k and 1 t when four letters picked without replacement from {j: 1, k: 4, t: 2}?\n' | b'8/35\n' | b'What is prob of picking 3 k and 1 t when four letters picked without replacement from {j: 1, k: 4, t: 2}?\n' | b'8/35\n' | deepmind/math_dataset |
b'Simplify (k**(2/9)/k*k*k**(1/3)/k*k)/(k/k**0*k**(-2/3)) assuming k is positive.\n' | b'k**(2/9)\n' | b'Simplify (k**(2/9)/k*k*k**(1/3)/k*k)/(k/k**0*k**(-2/3)) assuming k is positive.\n' | b'k**(2/9)\n' | deepmind/math_dataset |
b'Suppose -4*v = 1 - 1. Suppose v = 4*x - 11 - 9. Let b(c) = -c**2 + 6*c - 3. Let p be b(5). Solve 3*u + u = -5*y - 10, 0 = p*y + x*u + 21 for y.\n' | b'2\n' | b'Suppose -4*v = 1 - 1. Suppose v = 4*x - 11 - 9. Let b(c) = -c**2 + 6*c - 3. Let p be b(5). Solve 3*u + u = -5*y - 10, 0 = p*y + x*u + 21 for y.\n' | b'2\n' | deepmind/math_dataset |
b'Let a(k) be the second derivative of -k**3/6 + 7*k**2/2 + 11*k. Let z be a(4). Suppose -10*m = -z*m - 49. Solve 3*y + 4*i - 3 = -m, 2*y - 20 = 3*i for y.\n' | b'4\n' | b'Let a(k) be the second derivative of -k**3/6 + 7*k**2/2 + 11*k. Let z be a(4). Suppose -10*m = -z*m - 49. Solve 3*y + 4*i - 3 = -m, 2*y - 20 = 3*i for y.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from scccsss. What is prob of sequence csc?\n' | b'4/35\n' | b'Three letters picked without replacement from scccsss. What is prob of sequence csc?\n' | b'4/35\n' | deepmind/math_dataset |
b'Simplify (u**(3/7)/(u/((u/(u/(u*u/u**(2/33))))/u))*u**7*u*u**(-14))**(4/11) assuming u is positive.\n' | b'u**(-5204/2541)\n' | b'Simplify (u**(3/7)/(u/((u/(u/(u*u/u**(2/33))))/u))*u**7*u*u**(-14))**(4/11) assuming u is positive.\n' | b'u**(-5204/2541)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 6, p: 7, t: 4}. What is prob of sequence xppx?\n' | b'3/136\n' | b'Four letters picked without replacement from {x: 6, p: 7, t: 4}. What is prob of sequence xppx?\n' | b'3/136\n' | deepmind/math_dataset |
b'Let u be (-3 - -15)*(29 - 28). Solve s = -3*s + 3*d - 17, -u = -4*d for s.\n' | b'-2\n' | b'Let u be (-3 - -15)*(29 - 28). Solve s = -3*s + 3*d - 17, -u = -4*d for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Let f(y) be the second derivative of 0 + 0*y**2 - 8*y + 3/10*y**6 + 0*y**4 + 2*y**3 + 0*y**5. Find the second derivative of f(s) wrt s.\n' | b'108*s**2\n' | b'Let f(y) be the second derivative of 0 + 0*y**2 - 8*y + 3/10*y**6 + 0*y**4 + 2*y**3 + 0*y**5. Find the second derivative of f(s) wrt s.\n' | b'108*s**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 1, x: 12}. What is prob of sequence lx?\n' | b'1/13\n' | b'Two letters picked without replacement from {l: 1, x: 12}. What is prob of sequence lx?\n' | b'1/13\n' | deepmind/math_dataset |
b'Let m(c) be the first derivative of 111*c**2/2 + 3729*c - 3456. Find the first derivative of m(q) wrt q.\n' | b'111\n' | b'Let m(c) be the first derivative of 111*c**2/2 + 3729*c - 3456. Find the first derivative of m(q) wrt q.\n' | b'111\n' | deepmind/math_dataset |
b'Calculate prob of sequence mdr when three letters picked without replacement from {d: 1, m: 1, s: 2, r: 5, h: 1}.\n' | b'1/144\n' | b'Calculate prob of sequence mdr when three letters picked without replacement from {d: 1, m: 1, s: 2, r: 5, h: 1}.\n' | b'1/144\n' | deepmind/math_dataset |
b'Let c(m) = -m**2 - 9*m + 4. Let q(s) = s**3 - 2*s**3 - 3*s - 13 + 9*s**2 - 5*s. Let g be q(8). Let l(i) = -i**2 - 13*i - 7. Let u be l(g). Determine c(u).\n' | b'18\n' | b'Let c(m) = -m**2 - 9*m + 4. Let q(s) = s**3 - 2*s**3 - 3*s - 13 + 9*s**2 - 5*s. Let g be q(8). Let l(i) = -i**2 - 13*i - 7. Let u be l(g). Determine c(u).\n' | b'18\n' | deepmind/math_dataset |
b'Suppose 11*s + 62 - 117 = 0. Suppose -12 = -s*o - n, 3*o - 4*o - 3*n = -8. Solve -o*r + 0*x + 5*x = -2, -r + 3*x = -2 for r.\n' | b'-4\n' | b'Suppose 11*s + 62 - 117 = 0. Suppose -12 = -s*o - n, 3*o - 4*o - 3*n = -8. Solve -o*r + 0*x + 5*x = -2, -r + 3*x = -2 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nqnq. Give prob of picking 2 q.\n' | b'1/6\n' | b'Two letters picked without replacement from nqnq. Give prob of picking 2 q.\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 8, u: 9, m: 1, a: 2}. Give prob of sequence um.\n' | b'9/380\n' | b'Two letters picked without replacement from {h: 8, u: 9, m: 1, a: 2}. Give prob of sequence um.\n' | b'9/380\n' | deepmind/math_dataset |
b'Suppose 0 = 3*h - 17 + 38. Let k(b) = b**2 + 4*b - 6. Let q be k(h). Let a = 19 - q. Solve -4*g + 10 = 5*c, -c + a = c - g for c.\n' | b'2\n' | b'Suppose 0 = 3*h - 17 + 38. Let k(b) = b**2 + 4*b - 6. Let q be k(h). Let a = 19 - q. Solve -4*g + 10 = 5*c, -c + a = c - g for c.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hqhqqqbqoeoqoqo. Give prob of sequence eo.\n' | b'2/105\n' | b'Two letters picked without replacement from hqhqqqbqoeoqoqo. Give prob of sequence eo.\n' | b'2/105\n' | deepmind/math_dataset |
b'Suppose -o = -4*w + 24, 64 = -30*w + 34*w + 4*o. Solve 1 = -w*x + 10*x - u, -2*u = 5*x - 25 for x.\n' | b'3\n' | b'Suppose -o = -4*w + 24, 64 = -30*w + 34*w + 4*o. Solve 1 = -w*x + 10*x - u, -2*u = 5*x - 25 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Differentiate 19 + 81*x**4 + 30 + 0*x**4 wrt x.\n' | b'324*x**3\n' | b'Differentiate 19 + 81*x**4 + 30 + 0*x**4 wrt x.\n' | b'324*x**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 2, o: 7, n: 6, g: 3, f: 1}. Give prob of sequence gof.\n' | b'7/1938\n' | b'Three letters picked without replacement from {i: 2, o: 7, n: 6, g: 3, f: 1}. Give prob of sequence gof.\n' | b'7/1938\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, g: 1, f: 9}. Give prob of picking 2 f.\n' | b'36/55\n' | b'Two letters picked without replacement from {k: 1, g: 1, f: 9}. Give prob of picking 2 f.\n' | b'36/55\n' | deepmind/math_dataset |
b'Let d(z) = -25*z - 131. Let c = -205 - -200. Let b be d(c). Let x(g) = g + 5. Determine x(b).\n' | b'-1\n' | b'Let d(z) = -25*z - 131. Let c = -205 - -200. Let b be d(c). Let x(g) = g + 5. Determine x(b).\n' | b'-1\n' | deepmind/math_dataset |
b'Let n(r) be the first derivative of -r**4/2 - 295*r**2 + 265*r - 208. What is the derivative of n(o) wrt o?\n' | b'-6*o**2 - 590\n' | b'Let n(r) be the first derivative of -r**4/2 - 295*r**2 + 265*r - 208. What is the derivative of n(o) wrt o?\n' | b'-6*o**2 - 590\n' | deepmind/math_dataset |
b'Let g be 1/3*3 - -1. Let i(d) = 3*d - 1 - 2 - g*d**2 + 1 + d. Suppose -39 = 8*z - 21*z. Calculate i(z).\n' | b'-8\n' | b'Let g be 1/3*3 - -1. Let i(d) = 3*d - 1 - 2 - g*d**2 + 1 + d. Suppose -39 = 8*z - 21*z. Calculate i(z).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 2 m when four letters picked without replacement from {m: 2, r: 11}?\n' | b'1/13\n' | b'What is prob of picking 2 r and 2 m when four letters picked without replacement from {m: 2, r: 11}?\n' | b'1/13\n' | deepmind/math_dataset |
b'Suppose 83 = 5*x + 68. Let p(y) be the first derivative of -13*y**x + 7 + 0*y**2 + 0*y - 21/4*y**4. Find the third derivative of p(h) wrt h.\n' | b'-126\n' | b'Suppose 83 = 5*x + 68. Let p(y) be the first derivative of -13*y**x + 7 + 0*y**2 + 0*y - 21/4*y**4. Find the third derivative of p(h) wrt h.\n' | b'-126\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from hnuwwnnjjwjjj?\n' | b'5/39\n' | b'What is prob of picking 2 j when two letters picked without replacement from hnuwwnnjjwjjj?\n' | b'5/39\n' | deepmind/math_dataset |
b'Suppose 19*n - 24*n + 23 = -i, 2*n + 3*i - 16 = 0. Solve 0 = -2*p - 2*d - d - 17, -5*p = n*d + 35 for p.\n' | b'-4\n' | b'Suppose 19*n - 24*n + 23 = -i, 2*n + 3*i - 16 = 0. Solve 0 = -2*p - 2*d - d - 17, -5*p = n*d + 35 for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence lp when two letters picked without replacement from {v: 1, b: 1, i: 1, p: 1, l: 5}.\n' | b'5/72\n' | b'Calculate prob of sequence lp when two letters picked without replacement from {v: 1, b: 1, i: 1, p: 1, l: 5}.\n' | b'5/72\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sgzzlsgszzzzzs. What is prob of picking 1 g and 2 z?\n' | b'3/26\n' | b'Three letters picked without replacement from sgzzlsgszzzzzs. What is prob of picking 1 g and 2 z?\n' | b'3/26\n' | deepmind/math_dataset |
b'Simplify (i**(-8)*(i/(i/i**7*i*i))/i*i)/(i**0/(i**(-1/4)*i)) assuming i is positive.\n' | b'i**(-9/4)\n' | b'Simplify (i**(-8)*(i/(i/i**7*i*i))/i*i)/(i**0/(i**(-1/4)*i)) assuming i is positive.\n' | b'i**(-9/4)\n' | deepmind/math_dataset |
b'Let m(i) = -24*i + 174. Suppose -27*n + 4*n + 161 = 0. Let h be m(n). Solve g + 1 = 4*v, h = 5*v + 1 for g.\n' | b'3\n' | b'Let m(i) = -24*i + 174. Suppose -27*n + 4*n + 161 = 0. Let h be m(n). Solve g + 1 = 4*v, h = 5*v + 1 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 2, v: 6}. What is prob of picking 4 v?\n' | b'3/14\n' | b'Four letters picked without replacement from {o: 2, v: 6}. What is prob of picking 4 v?\n' | b'3/14\n' | deepmind/math_dataset |
b'Suppose 0 = 5*v, l - 3*v = -6*v - 6. Let m(q) = -2*q - 9. Let z be m(l). Solve z*f + 4 = -5*y, 5*y - 5*f = y + 19 for y.\n' | b'1\n' | b'Suppose 0 = 5*v, l - 3*v = -6*v - 6. Let m(q) = -2*q - 9. Let z be m(l). Solve z*f + 4 = -5*y, 5*y - 5*f = y + 19 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let k(h) be the third derivative of -73*h**4/12 + 259*h**3/6 - 281*h**2. Differentiate k(b) wrt b.\n' | b'-146\n' | b'Let k(h) be the third derivative of -73*h**4/12 + 259*h**3/6 - 281*h**2. Differentiate k(b) wrt b.\n' | b'-146\n' | deepmind/math_dataset |
b'Find the third derivative of -8916*a**4 + 7*a - 713*a**2 + 10*a + 700*a**2 + 205 - 17*a wrt a.\n' | b'-213984*a\n' | b'Find the third derivative of -8916*a**4 + 7*a - 713*a**2 + 10*a + 700*a**2 + 205 - 17*a wrt a.\n' | b'-213984*a\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 3, o: 3, c: 4, i: 6, p: 4}. Give prob of sequence oi.\n' | b'9/190\n' | b'Two letters picked without replacement from {x: 3, o: 3, c: 4, i: 6, p: 4}. Give prob of sequence oi.\n' | b'9/190\n' | deepmind/math_dataset |
b'Suppose -165 - 3 = -6*g. Let t = g + -24. What is the second derivative of 10*q + t - 12*q - 4 - q**3 wrt q?\n' | b'-6*q\n' | b'Suppose -165 - 3 = -6*g. Let t = g + -24. What is the second derivative of 10*q + t - 12*q - 4 - q**3 wrt q?\n' | b'-6*q\n' | deepmind/math_dataset |
b'Let y be 2/8 + (-202)/8. Suppose -2*d - 2*g = 2*d - 14, 3*g + 14 = d. Let m be -1 - d/(y/20). Solve 0 = 4*q + 3*w + 5, -2*w = -w + m for q.\n' | b'1\n' | b'Let y be 2/8 + (-202)/8. Suppose -2*d - 2*g = 2*d - 14, 3*g + 14 = d. Let m be -1 - d/(y/20). Solve 0 = 4*q + 3*w + 5, -2*w = -w + m for q.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0*p - p - 7*p = 0. Let c(k) be the third derivative of k**3 + 13*k**2 + 1/60*k**5 + p + 0*k + 7/24*k**4. What is c(-4)?\n' | b'-6\n' | b'Suppose 0*p - p - 7*p = 0. Let c(k) be the third derivative of k**3 + 13*k**2 + 1/60*k**5 + p + 0*k + 7/24*k**4. What is c(-4)?\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from xxxt.\n' | b'1/2\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from xxxt.\n' | b'1/2\n' | deepmind/math_dataset |
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