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 m(u) = u**3 + 15*u**2 + 11*u - 12. Let z be -23 + ((-13)/(117/(-72)) - -1). Calculate m(z).\n' | b'30\n' | b'Let m(u) = u**3 + 15*u**2 + 11*u - 12. Let z be -23 + ((-13)/(117/(-72)) - -1). Calculate m(z).\n' | b'30\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 1, t: 1, e: 2, j: 1, f: 1, n: 1}.\n' | b'1/21\n' | b'Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 1, t: 1, e: 2, j: 1, f: 1, n: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 1, o: 7, n: 3, a: 1}. Give prob of sequence aodn.\n' | b'7/3960\n' | b'Four letters picked without replacement from {d: 1, o: 7, n: 3, a: 1}. Give prob of sequence aodn.\n' | b'7/3960\n' | deepmind/math_dataset |
b'Calculate prob of sequence ff when two letters picked without replacement from hhfhfh.\n' | b'1/15\n' | b'Calculate prob of sequence ff when two letters picked without replacement from hhfhfh.\n' | b'1/15\n' | deepmind/math_dataset |
b'Suppose -119*n + 2690 - 675 = -603. Solve 32 = -19*m + 22*m + 4*a, 3*m + 2*a - n = 0 for m.\n' | b'4\n' | b'Suppose -119*n + 2690 - 675 = -603. Solve 32 = -19*m + 22*m + 4*a, 3*m + 2*a - n = 0 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let x = 715 - 711. Let b(g) = g**2 + 7*g - 7. Determine b(x).\n' | b'37\n' | b'Let x = 715 - 711. Let b(g) = g**2 + 7*g - 7. Determine b(x).\n' | b'37\n' | deepmind/math_dataset |
b'Let a(c) = -c**3 - 12*c**2 - 16*c - 19. Let k be a(-11). Let s = 32 - k. Let t(j) = -j**2 - 2*j - 1. Give t(s).\n' | b'-9\n' | b'Let a(c) = -c**3 - 12*c**2 - 16*c - 19. Let k be a(-11). Let s = 32 - k. Let t(j) = -j**2 - 2*j - 1. Give t(s).\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eddrjsdydsddeyysdjyd. Give prob of picking 2 e.\n' | b'1/190\n' | b'Two letters picked without replacement from eddrjsdydsddeyysdjyd. Give prob of picking 2 e.\n' | b'1/190\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 6, n: 1, z: 5, d: 3}. Give prob of picking 1 d and 3 b.\n' | b'4/91\n' | b'Four letters picked without replacement from {b: 6, n: 1, z: 5, d: 3}. Give prob of picking 1 d and 3 b.\n' | b'4/91\n' | deepmind/math_dataset |
b'What is the second derivative of 1071*a - 173*a**2 - 41*a**3 + 185*a**2 + 438*a**2 + 3236*a + 43*a**3 wrt a?\n' | b'12*a + 900\n' | b'What is the second derivative of 1071*a - 173*a**2 - 41*a**3 + 185*a**2 + 438*a**2 + 3236*a + 43*a**3 wrt a?\n' | b'12*a + 900\n' | deepmind/math_dataset |
b'Let w(x) = x**3 + 4*x**2 + 4*x + 3. Let d be w(-2). Let u(k) = 4*k**2 + 2*k - 6*k + 4*k**3 - 6*k**d + 2. Suppose -4*f + 3*f + 2 = 0. Determine u(f).\n' | b'-6\n' | b'Let w(x) = x**3 + 4*x**2 + 4*x + 3. Let d be w(-2). Let u(k) = 4*k**2 + 2*k - 6*k + 4*k**3 - 6*k**d + 2. Suppose -4*f + 3*f + 2 = 0. Determine u(f).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, p: 2}. What is prob of sequence ppq?\n' | b'1/3\n' | b'Three letters picked without replacement from {q: 1, p: 2}. What is prob of sequence ppq?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let q(w) = -w**3 + 3*w**2 - w. Let g(a) be the first derivative of -a**2/2 - a + 1. Let b be g(-3). Suppose 4 = -b*z + 6. Determine q(z).\n' | b'1\n' | b'Let q(w) = -w**3 + 3*w**2 - w. Let g(a) be the first derivative of -a**2/2 - a + 1. Let b be g(-3). Suppose 4 = -b*z + 6. Determine q(z).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ls when two letters picked without replacement from {l: 4, i: 9, s: 3}.\n' | b'1/20\n' | b'Calculate prob of sequence ls when two letters picked without replacement from {l: 4, i: 9, s: 3}.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let h(r) be the first derivative of 0*r**4 + 0*r + 2 + 4/3*r**3 + 0*r**2 - 3/5*r**5. What is the third derivative of h(j) wrt j?\n' | b'-72*j\n' | b'Let h(r) be the first derivative of 0*r**4 + 0*r + 2 + 4/3*r**3 + 0*r**2 - 3/5*r**5. What is the third derivative of h(j) wrt j?\n' | b'-72*j\n' | deepmind/math_dataset |
b'Let m(r) = -4*r - 13. Let b(x) = -6*x - 19. Let v(o) = 5*b(o) - 8*m(o). Find the first derivative of v(t) wrt t.\n' | b'2\n' | b'Let m(r) = -4*r - 13. Let b(x) = -6*x - 19. Let v(o) = 5*b(o) - 8*m(o). Find the first derivative of v(t) wrt t.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 s, and 1 w when three letters picked without replacement from twthqbs.\n' | b'1/35\n' | b'Calculate prob of picking 1 b, 1 s, and 1 w when three letters picked without replacement from twthqbs.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose -4*i - 5*c = 17, 2*c = -2*i - 28 + 20. Let m(p) = 2*p + 4. Give m(i).\n' | b'-2\n' | b'Suppose -4*i - 5*c = 17, 2*c = -2*i - 28 + 20. Let m(p) = 2*p + 4. Give m(i).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((f*f/f**27)/f*f)/((f*f**(-14))/f))**(-30) assuming f is positive.\n' | b'f**330\n' | b'Simplify (((f*f/f**27)/f*f)/((f*f**(-14))/f))**(-30) assuming f is positive.\n' | b'f**330\n' | deepmind/math_dataset |
b'What is prob of sequence gr when two letters picked without replacement from {k: 1, v: 1, n: 1, r: 1, g: 1}?\n' | b'1/20\n' | b'What is prob of sequence gr when two letters picked without replacement from {k: 1, v: 1, n: 1, r: 1, g: 1}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify ((a**0*a)**(4/15))**(-47) assuming a is positive.\n' | b'a**(-188/15)\n' | b'Simplify ((a**0*a)**(4/15))**(-47) assuming a is positive.\n' | b'a**(-188/15)\n' | deepmind/math_dataset |
b'Simplify y**(-5)*y**(-4/9)*y assuming y is positive.\n' | b'y**(-40/9)\n' | b'Simplify y**(-5)*y**(-4/9)*y assuming y is positive.\n' | b'y**(-40/9)\n' | deepmind/math_dataset |
b'Let j(k) be the second derivative of 11*k**3/3 - 49*k**2/2 - 8*k - 2. What is the derivative of j(f) wrt f?\n' | b'22\n' | b'Let j(k) be the second derivative of 11*k**3/3 - 49*k**2/2 - 8*k - 2. What is the derivative of j(f) wrt f?\n' | b'22\n' | deepmind/math_dataset |
b'Let v(k) = -k**2 - 10. Let l be v(0). Let z = l - -11. Let c(p) = -12*p**2 + 1. What is c(z)?\n' | b'-11\n' | b'Let v(k) = -k**2 - 10. Let l be v(0). Let z = l - -11. Let c(p) = -12*p**2 + 1. What is c(z)?\n' | b'-11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxvxxxxrlxlxlxxzxxxx. What is prob of sequence zvl?\n' | b'1/2280\n' | b'Three letters picked without replacement from xxvxxxxrlxlxlxxzxxxx. What is prob of sequence zvl?\n' | b'1/2280\n' | deepmind/math_dataset |
b'Calculate prob of sequence xqq when three letters picked without replacement from yxyoyoyoyqoyyqyqqqqq.\n' | b'7/1140\n' | b'Calculate prob of sequence xqq when three letters picked without replacement from yxyoyoyoyqoyyqyqqqqq.\n' | b'7/1140\n' | deepmind/math_dataset |
b'Let b(j) = -4*j**2 - 3*j + 3. Let l(k) = -k**2 - k + 1. Let a = 0 + 2. Let x(s) = a*b(s) - 7*l(s). What is x(-3)?\n' | b'-13\n' | b'Let b(j) = -4*j**2 - 3*j + 3. Let l(k) = -k**2 - k + 1. Let a = 0 + 2. Let x(s) = a*b(s) - 7*l(s). What is x(-3)?\n' | b'-13\n' | deepmind/math_dataset |
b'Let b(v) be the second derivative of -11*v**5/20 + 13*v**2/2 - 12*v. Differentiate b(p) wrt p.\n' | b'-33*p**2\n' | b'Let b(v) be the second derivative of -11*v**5/20 + 13*v**2/2 - 12*v. Differentiate b(p) wrt p.\n' | b'-33*p**2\n' | deepmind/math_dataset |
b'Suppose r = -5*t + 19, t + 8 = 4*r - 5. Let g(u) = -u - 11. Let w be g(-14). Let h(l) = 3*l**t - l**3 - 2*l**w - 2*l**2 + l**3. Calculate h(2).\n' | b'0\n' | b'Suppose r = -5*t + 19, t + 8 = 4*r - 5. Let g(u) = -u - 11. Let w be g(-14). Let h(l) = 3*l**t - l**3 - 2*l**w - 2*l**2 + l**3. Calculate h(2).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((q*q*q**(-1)*q)/q)**(-6/7)*q**1/q*q**(1/3))**(36/7) assuming q is positive.\n' | b'q**(-132/49)\n' | b'Simplify (((q*q*q**(-1)*q)/q)**(-6/7)*q**1/q*q**(1/3))**(36/7) assuming q is positive.\n' | b'q**(-132/49)\n' | deepmind/math_dataset |
b'Suppose 4*a - 5*j - 10 = 0, -8*a + 4*j = -6*a - 2. Find the second derivative of -949*b**a + 7 + 3*b + 1000*b**5 + b wrt b.\n' | b'1020*b**3\n' | b'Suppose 4*a - 5*j - 10 = 0, -8*a + 4*j = -6*a - 2. Find the second derivative of -949*b**a + 7 + 3*b + 1000*b**5 + b wrt b.\n' | b'1020*b**3\n' | deepmind/math_dataset |
b'Simplify (z*z**(5/8)*z)/z**3 assuming z is positive.\n' | b'z**(-3/8)\n' | b'Simplify (z*z**(5/8)*z)/z**3 assuming z is positive.\n' | b'z**(-3/8)\n' | deepmind/math_dataset |
b'What is prob of picking 4 e when four letters picked without replacement from eveevvvvvvvvvvevev?\n' | b'1/612\n' | b'What is prob of picking 4 e when four letters picked without replacement from eveevvvvvvvvvvevev?\n' | b'1/612\n' | deepmind/math_dataset |
b'Simplify (q**(-2/5)*q)**(1/2) assuming q is positive.\n' | b'q**(3/10)\n' | b'Simplify (q**(-2/5)*q)**(1/2) assuming q is positive.\n' | b'q**(3/10)\n' | deepmind/math_dataset |
b'Let n = 83 - 81. Let w(m) be the first derivative of -1/2*m**n - 3 + 9*m. Give w(0).\n' | b'9\n' | b'Let n = 83 - 81. Let w(m) be the first derivative of -1/2*m**n - 3 + 9*m. Give w(0).\n' | b'9\n' | deepmind/math_dataset |
b'Let y(z) be the third derivative of z**4/12 + z**3 - 4*z**2. What is the derivative of y(g) wrt g?\n' | b'2\n' | b'Let y(z) be the third derivative of z**4/12 + z**3 - 4*z**2. What is the derivative of y(g) wrt g?\n' | b'2\n' | deepmind/math_dataset |
b'Let b = -102 + 188. Suppose -5*g - b = -4*q + 9, 5*q + 2*g = 127. Suppose -4*l + 4 = 5*t, -5 = -3*l - 2. Solve -5*p = -20, t = 3*v + 3*p + p - q for v.\n' | b'3\n' | b'Let b = -102 + 188. Suppose -5*g - b = -4*q + 9, 5*q + 2*g = 127. Suppose -4*l + 4 = 5*t, -5 = -3*l - 2. Solve -5*p = -20, t = 3*v + 3*p + p - q for v.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 9, o: 9}. Give prob of picking 2 o and 1 g.\n' | b'27/68\n' | b'Three letters picked without replacement from {g: 9, o: 9}. Give prob of picking 2 o and 1 g.\n' | b'27/68\n' | deepmind/math_dataset |
b'Suppose -5*j + 5 - 27 = -4*h, -4*h - 4*j = -4. Let u(g) = -g. Determine u(h).\n' | b'-3\n' | b'Suppose -5*j + 5 - 27 = -4*h, -4*h - 4*j = -4. Let u(g) = -g. Determine u(h).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence kf when two letters picked without replacement from {o: 1, m: 4, b: 3, y: 1, k: 5, f: 1}?\n' | b'1/42\n' | b'What is prob of sequence kf when two letters picked without replacement from {o: 1, m: 4, b: 3, y: 1, k: 5, f: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify ((d**(-1))**25/(d*d*d**(2/3))**(-22))/((d**(-2/5)/d)**(17/4)*d**(-6)*d*d**(5/6)/d) assuming d is positive.\n' | b'd**(2687/60)\n' | b'Simplify ((d**(-1))**25/(d*d*d**(2/3))**(-22))/((d**(-2/5)/d)**(17/4)*d**(-6)*d*d**(5/6)/d) assuming d is positive.\n' | b'd**(2687/60)\n' | deepmind/math_dataset |
b'Calculate prob of sequence sa when two letters picked without replacement from {l: 5, a: 6, s: 2}.\n' | b'1/13\n' | b'Calculate prob of sequence sa when two letters picked without replacement from {l: 5, a: 6, s: 2}.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let d(w) be the third derivative of 103*w**8/336 + 7*w**6/120 + 1637*w**4/12 + 1389*w**2 + 1. Find the second derivative of d(c) wrt c.\n' | b'2060*c**3 + 42*c\n' | b'Let d(w) be the third derivative of 103*w**8/336 + 7*w**6/120 + 1637*w**4/12 + 1389*w**2 + 1. Find the second derivative of d(c) wrt c.\n' | b'2060*c**3 + 42*c\n' | deepmind/math_dataset |
b'Let j be 2/90*5 + (-26)/(-9). Suppose -5*d = 3*u - 6, j - 1 = u - 4*d. Solve 4*b = -r - 9, -u*b - b - 18 = -3*r for b.\n' | b'-3\n' | b'Let j be 2/90*5 + (-26)/(-9). Suppose -5*d = 3*u - 6, j - 1 = u - 4*d. Solve 4*b = -r - 9, -u*b - b - 18 = -3*r for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ayayyaaayaay. What is prob of picking 1 a and 1 y?\n' | b'35/66\n' | b'Two letters picked without replacement from ayayyaaayaay. What is prob of picking 1 a and 1 y?\n' | b'35/66\n' | deepmind/math_dataset |
b'Suppose -2 - 6 = -2*o. Solve 4*h = 3*p - 16, o*h + 27 = 4*p + 7 for h.\n' | b'-1\n' | b'Suppose -2 - 6 = -2*o. Solve 4*h = 3*p - 16, o*h + 27 = 4*p + 7 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(r) = 2*r + 2. Let w be 1 - (-655)/(-5) - -4. Let t be w/26 + (-14)/91. Determine x(t).\n' | b'-8\n' | b'Let x(r) = 2*r + 2. Let w be 1 - (-655)/(-5) - -4. Let t be w/26 + (-14)/91. Determine x(t).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 46 + 8 = 27*j. Let z be (9/(-12))/(1/(-4)). Solve -j*h = -4*l, -z*l = -3*h - l for h.\n' | b'0\n' | b'Suppose 46 + 8 = 27*j. Let z be (9/(-12))/(1/(-4)). Solve -j*h = -4*l, -z*l = -3*h - l for h.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((t*t*(t**(5/6)*t)/t*t)/t*t)/(t**(-16)/t)*(t*t**5)**32 assuming t is positive.\n' | b't**(1277/6)\n' | b'Simplify ((t*t*(t**(5/6)*t)/t*t)/t*t)/(t**(-16)/t)*(t*t**5)**32 assuming t is positive.\n' | b't**(1277/6)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k and 1 c when four letters picked without replacement from {c: 3, k: 15}.\n' | b'91/204\n' | b'Calculate prob of picking 3 k and 1 c when four letters picked without replacement from {c: 3, k: 15}.\n' | b'91/204\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 4, u: 7, g: 2}. Give prob of picking 2 g.\n' | b'1/78\n' | b'Two letters picked without replacement from {x: 4, u: 7, g: 2}. Give prob of picking 2 g.\n' | b'1/78\n' | deepmind/math_dataset |
b'Calculate prob of sequence xg when two letters picked without replacement from gqwxwuc.\n' | b'1/42\n' | b'Calculate prob of sequence xg when two letters picked without replacement from gqwxwuc.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let w = 25 + -39. Let d(m) = -m**2 - 14*m + 4. Let x be d(w). Let n(p) = 3*p - 1. Let u be n(1). Solve -4*o + 20 = x*c, u*c - 3*c + 5 = -2*o for o.\n' | b'0\n' | b'Let w = 25 + -39. Let d(m) = -m**2 - 14*m + 4. Let x be d(w). Let n(p) = 3*p - 1. Let u be n(1). Solve -4*o + 20 = x*c, u*c - 3*c + 5 = -2*o for o.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (x*x**3*x*x**(-6)*x/(x/((x*x**(-8)/x*x*x*x*x)/x))*x**0)/(((x*(x**(-2)/x)/x*x)/x)**23/((x*x/x**(-5)*x)/((x*x**(3/5))/x))) assuming x is positive.\n' | b'x**(352/5)\n' | b'Simplify (x*x**3*x*x**(-6)*x/(x/((x*x**(-8)/x*x*x*x*x)/x))*x**0)/(((x*(x**(-2)/x)/x*x)/x)**23/((x*x/x**(-5)*x)/((x*x**(3/5))/x))) assuming x is positive.\n' | b'x**(352/5)\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 k, and 2 p when four letters picked without replacement from dhpbpkpkkuuppppp?\n' | b'3/65\n' | b'What is prob of picking 1 h, 1 k, and 2 p when four letters picked without replacement from dhpbpkpkkuuppppp?\n' | b'3/65\n' | deepmind/math_dataset |
b'Simplify (x/(x/x**25))/(x/x**(-1/58)) assuming x is positive.\n' | b'x**(1391/58)\n' | b'Simplify (x/(x/x**25))/(x/x**(-1/58)) assuming x is positive.\n' | b'x**(1391/58)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhhhdddhdpddbd. Give prob of picking 1 b and 2 h.\n' | b'5/182\n' | b'Three letters picked without replacement from hhhhdddhdpddbd. Give prob of picking 1 b and 2 h.\n' | b'5/182\n' | deepmind/math_dataset |
b'Suppose -239*a + 16 = -237*a + 2*b, -5*a = -b + 8. Suppose o - 1 = 3. Solve -v = -q, -5*q - o*v + 0*v - 9 = a for q.\n' | b'-1\n' | b'Suppose -239*a + 16 = -237*a + 2*b, -5*a = -b + 8. Suppose o - 1 = 3. Solve -v = -q, -5*q - o*v + 0*v - 9 = a for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(h) = 126*h - 5. Suppose 5*s + 7 = -3*f, -11*s = -14*s - 6. Calculate g(f).\n' | b'121\n' | b'Let g(h) = 126*h - 5. Suppose 5*s + 7 = -3*f, -11*s = -14*s - 6. Calculate g(f).\n' | b'121\n' | deepmind/math_dataset |
b'Suppose 4*d = -4*d + 56. Let q(h) be the third derivative of 2/15*h**5 - 3/8*h**4 + 14*h**2 - 1/120*h**6 + 0 + 0*h + 1/3*h**3. Determine q(d).\n' | b'-12\n' | b'Suppose 4*d = -4*d + 56. Let q(h) be the third derivative of 2/15*h**5 - 3/8*h**4 + 14*h**2 - 1/120*h**6 + 0 + 0*h + 1/3*h**3. Determine q(d).\n' | b'-12\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b and 2 c when four letters picked without replacement from {c: 9, b: 2}.\n' | b'6/55\n' | b'Calculate prob of picking 2 b and 2 c when four letters picked without replacement from {c: 9, b: 2}.\n' | b'6/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from pqpqpqqqqqqqqq.\n' | b'55/91\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from pqpqpqqqqqqqqq.\n' | b'55/91\n' | deepmind/math_dataset |
b'Let c be (-28)/21 - (-1921)/3. What is the first derivative of 1213*g**4 - c*g**4 + 2*g - 119 - 601*g**4 wrt g?\n' | b'-108*g**3 + 2\n' | b'Let c be (-28)/21 - (-1921)/3. What is the first derivative of 1213*g**4 - c*g**4 + 2*g - 119 - 601*g**4 wrt g?\n' | b'-108*g**3 + 2\n' | deepmind/math_dataset |
b'What is prob of sequence onr when three letters picked without replacement from {r: 6, n: 4, o: 3}?\n' | b'6/143\n' | b'What is prob of sequence onr when three letters picked without replacement from {r: 6, n: 4, o: 3}?\n' | b'6/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxxvvvv. Give prob of picking 4 v.\n' | b'1/35\n' | b'Four letters picked without replacement from xxxvvvv. Give prob of picking 4 v.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let c(d) be the second derivative of 0 + 0*d**2 + 34*d + 0*d**3 - 1/2*d**4 + 17/10*d**5. What is the third derivative of c(q) wrt q?\n' | b'204\n' | b'Let c(d) be the second derivative of 0 + 0*d**2 + 34*d + 0*d**3 - 1/2*d**4 + 17/10*d**5. What is the third derivative of c(q) wrt q?\n' | b'204\n' | deepmind/math_dataset |
b'Simplify (((w/(w**6*w))/w)/w*(w/w**6)/w*w*(w**0)**31)/((w/w**(-2/5)*w**1/w)/(w**(1/4)*w)**(-1)) assuming w is positive.\n' | b'w**(-313/20)\n' | b'Simplify (((w/(w**6*w))/w)/w*(w/w**6)/w*w*(w**0)**31)/((w/w**(-2/5)*w**1/w)/(w**(1/4)*w)**(-1)) assuming w is positive.\n' | b'w**(-313/20)\n' | deepmind/math_dataset |
b'Let b(g) = -2 - 3 + 4 + g + g**2. Let h(a) = 3*a**3 + 5*a**2 + 6*a - 6. Let o(y) = 6*b(y) - h(y). Find the third derivative of o(n) wrt n.\n' | b'-18\n' | b'Let b(g) = -2 - 3 + 4 + g + g**2. Let h(a) = 3*a**3 + 5*a**2 + 6*a - 6. Let o(y) = 6*b(y) - h(y). Find the third derivative of o(n) wrt n.\n' | b'-18\n' | deepmind/math_dataset |
b'What is prob of sequence mmbm when four letters picked without replacement from {m: 6, b: 12, y: 1}?\n' | b'5/323\n' | b'What is prob of sequence mmbm when four letters picked without replacement from {m: 6, b: 12, y: 1}?\n' | b'5/323\n' | deepmind/math_dataset |
b'Simplify (g**(-2/13))**(-28)/((g*g**(1/4))/g**(5/4)) assuming g is positive.\n' | b'g**(56/13)\n' | b'Simplify (g**(-2/13))**(-28)/((g*g**(1/4))/g**(5/4)) assuming g is positive.\n' | b'g**(56/13)\n' | deepmind/math_dataset |
b'Simplify (j/(j/j**(-33/5)))**(-2/47)/(j**(-1/17)/(j*j**(-7/9)*j*j)) assuming j is positive.\n' | b'j**(92113/35955)\n' | b'Simplify (j/(j/j**(-33/5)))**(-2/47)/(j**(-1/17)/(j*j**(-7/9)*j*j)) assuming j is positive.\n' | b'j**(92113/35955)\n' | deepmind/math_dataset |
b'Simplify ((a*a**(-6))**(-2/5))**43 assuming a is positive.\n' | b'a**86\n' | b'Simplify ((a*a**(-6))**(-2/5))**43 assuming a is positive.\n' | b'a**86\n' | deepmind/math_dataset |
b'Let j = 283 + -280. Suppose 5*k + p = 1, p = -2*k - 1 + 2. Let b be j + 6 - (4 - k). Solve 5*o - 15 = -3*s + 10, b*s = 5*o - 25 for o.\n' | b'5\n' | b'Let j = 283 + -280. Suppose 5*k + p = 1, p = -2*k - 1 + 2. Let b be j + 6 - (4 - k). Solve 5*o - 15 = -3*s + 10, b*s = 5*o - 25 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 3, y: 3, a: 4, h: 1}. Give prob of picking 1 a and 3 y.\n' | b'2/165\n' | b'Four letters picked without replacement from {v: 3, y: 3, a: 4, h: 1}. Give prob of picking 1 a and 3 y.\n' | b'2/165\n' | deepmind/math_dataset |
b'Let c = 12 - 7. Suppose r + c = 6*r. Let h(a) be the first derivative of 2*a**4 - a**3/3 + a + 8. What is h(r)?\n' | b'8\n' | b'Let c = 12 - 7. Suppose r + c = 6*r. Let h(a) be the first derivative of 2*a**4 - a**3/3 + a + 8. What is h(r)?\n' | b'8\n' | deepmind/math_dataset |
b'Let p(c) = c**2 - 11*c + 4. Suppose -3*d = -4*w - 32, 3*d - d + 2*w - 12 = 0. Give p(d).\n' | b'-20\n' | b'Let p(c) = c**2 - 11*c + 4. Suppose -3*d = -4*w - 32, 3*d - d + 2*w - 12 = 0. Give p(d).\n' | b'-20\n' | deepmind/math_dataset |
b'Let b(k) be the second derivative of -k**3/3 + 21*k**2 - 20*k. Let i be b(14). What is the derivative of 3*s**2 + 6 + 24 - i*s**2 wrt s?\n' | b'-22*s\n' | b'Let b(k) be the second derivative of -k**3/3 + 21*k**2 - 20*k. Let i be b(14). What is the derivative of 3*s**2 + 6 + 24 - i*s**2 wrt s?\n' | b'-22*s\n' | deepmind/math_dataset |
b'Let f(p) = 29154*p - 84516. Let i(j) = 2424*j - 7043. Let g(l) = 2*f(l) - 25*i(l). Differentiate g(x) wrt x.\n' | b'-2292\n' | b'Let f(p) = 29154*p - 84516. Let i(j) = 2424*j - 7043. Let g(l) = 2*f(l) - 25*i(l). Differentiate g(x) wrt x.\n' | b'-2292\n' | deepmind/math_dataset |
b'What is prob of picking 2 i and 1 l when three letters picked without replacement from atatatilaii?\n' | b'1/55\n' | b'What is prob of picking 2 i and 1 l when three letters picked without replacement from atatatilaii?\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of sequence aa when two letters picked without replacement from akaaaaaaaaakakar?\n' | b'11/20\n' | b'What is prob of sequence aa when two letters picked without replacement from akaaaaaaaaakakar?\n' | b'11/20\n' | deepmind/math_dataset |
b'Let u(d) be the third derivative of 0 + 1/3*d**3 + 2*d**2 + 0*d**4 - 1/30*d**5 + 0*d. Differentiate u(i) with respect to i.\n' | b'-4*i\n' | b'Let u(d) be the third derivative of 0 + 1/3*d**3 + 2*d**2 + 0*d**4 - 1/30*d**5 + 0*d. Differentiate u(i) with respect to i.\n' | b'-4*i\n' | deepmind/math_dataset |
b'Let f(t) = -3*t**3 + t**2 + 1. Let n(x) = -224*x**4 + 18*x**3 - 6*x**2 + 382*x - 11. Let y(v) = -6*f(v) - n(v). What is the second derivative of y(g) wrt g?\n' | b'2688*g**2\n' | b'Let f(t) = -3*t**3 + t**2 + 1. Let n(x) = -224*x**4 + 18*x**3 - 6*x**2 + 382*x - 11. Let y(v) = -6*f(v) - n(v). What is the second derivative of y(g) wrt g?\n' | b'2688*g**2\n' | deepmind/math_dataset |
b'Simplify (r**(-1/3)/r**(2/27))/((r/r**(-2/5))/r)**(-1/3) assuming r is positive.\n' | b'r**(-37/135)\n' | b'Simplify (r**(-1/3)/r**(2/27))/((r/r**(-2/5))/r)**(-1/3) assuming r is positive.\n' | b'r**(-37/135)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x, 1 g, and 1 h when three letters picked without replacement from {x: 2, g: 6, o: 1, y: 8, h: 1}.\n' | b'1/68\n' | b'Calculate prob of picking 1 x, 1 g, and 1 h when three letters picked without replacement from {x: 2, g: 6, o: 1, y: 8, h: 1}.\n' | b'1/68\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 u when three letters picked without replacement from {u: 9, k: 2}.\n' | b'24/55\n' | b'Calculate prob of picking 1 k and 2 u when three letters picked without replacement from {u: 9, k: 2}.\n' | b'24/55\n' | deepmind/math_dataset |
b'Suppose m - 4 = z, 3*m + 5*z = 2*z. Solve -4*n = 4*r + 20, -n - m*r - 9 = -1 for n.\n' | b'-2\n' | b'Suppose m - 4 = z, 3*m + 5*z = 2*z. Solve -4*n = 4*r + 20, -n - m*r - 9 = -1 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 57 = -4*w - 15. Let d(s) = -s**3 - 18*s**2 + 4*s + 20. What is d(w)?\n' | b'-52\n' | b'Suppose 57 = -4*w - 15. Let d(s) = -s**3 - 18*s**2 + 4*s + 20. What is d(w)?\n' | b'-52\n' | deepmind/math_dataset |
b'Calculate prob of sequence vb when two letters picked without replacement from {b: 2, v: 6}.\n' | b'3/14\n' | b'Calculate prob of sequence vb when two letters picked without replacement from {b: 2, v: 6}.\n' | b'3/14\n' | deepmind/math_dataset |
b'What is the second derivative of -4374*v**2 + 2195*v**2 + 2191*v**2 + v**4 + 11545*v - 2*v**5 wrt v?\n' | b'-40*v**3 + 12*v**2 + 24\n' | b'What is the second derivative of -4374*v**2 + 2195*v**2 + 2191*v**2 + v**4 + 11545*v - 2*v**5 wrt v?\n' | b'-40*v**3 + 12*v**2 + 24\n' | deepmind/math_dataset |
b'Simplify ((x/x**5)/(x**(2/9)/x))/((x*x/(x/(x/(x*x**(-4))))*x)/(x**(-6)/x)) assuming x is positive.\n' | b'x**(-146/9)\n' | b'Simplify ((x/x**5)/(x**(2/9)/x))/((x*x/(x/(x/(x*x**(-4))))*x)/(x**(-6)/x)) assuming x is positive.\n' | b'x**(-146/9)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vydyvdvzzdvyydmd. Give prob of picking 2 y.\n' | b'1/20\n' | b'Two letters picked without replacement from vydyvdvzzdvyydmd. Give prob of picking 2 y.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let o = -20 + 22. Solve 3*j = o*d - 19, -2*j - 11 = -3*d + 2*d for d.\n' | b'5\n' | b'Let o = -20 + 22. Solve 3*j = o*d - 19, -2*j - 11 = -3*d + 2*d for d.\n' | b'5\n' | deepmind/math_dataset |
b'Let b(z) = -21*z - 18. Let s(u) = 11*u + 9. Let h(o) = 2*b(o) + 5*s(o). Differentiate h(f) wrt f.\n' | b'13\n' | b'Let b(z) = -21*z - 18. Let s(u) = 11*u + 9. Let h(o) = 2*b(o) + 5*s(o). Differentiate h(f) wrt f.\n' | b'13\n' | deepmind/math_dataset |
b'Let q(n) = -n + 4. Let c be q(2). Find the second derivative of 2*i - 7*i + c*i**3 + 2*i - 3*i wrt i.\n' | b'12*i\n' | b'Let q(n) = -n + 4. Let c be q(2). Find the second derivative of 2*i - 7*i + c*i**3 + 2*i - 3*i wrt i.\n' | b'12*i\n' | deepmind/math_dataset |
b'Let x(c) be the third derivative of c**6/360 + c**5/8 + c**4/8 - c**3/3 - 7*c**2. Let b(l) be the second derivative of x(l). Determine b(-7).\n' | b'1\n' | b'Let x(c) be the third derivative of c**6/360 + c**5/8 + c**4/8 - c**3/3 - 7*c**2. Let b(l) be the second derivative of x(l). Determine b(-7).\n' | b'1\n' | deepmind/math_dataset |
b'Let w(y) = -15*y**2 - 14*y - 17. Let z(k) = -4*k**2 - 5 - k**2 - 5*k - 5 + 4. Let f(g) = 6*w(g) - 17*z(g). What is the second derivative of f(r) wrt r?\n' | b'-10\n' | b'Let w(y) = -15*y**2 - 14*y - 17. Let z(k) = -4*k**2 - 5 - k**2 - 5*k - 5 + 4. Let f(g) = 6*w(g) - 17*z(g). What is the second derivative of f(r) wrt r?\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose 1 = 4*c - 19. Solve 0 = -2*h - c*d - 17, 2*h - 18 = d + d for h.\n' | b'4\n' | b'Suppose 1 = 4*c - 19. Solve 0 = -2*h - c*d - 17, 2*h - 18 = d + d for h.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (g**(1/6)*g**(2/7)*g*g)**(-7)*(g*g*g*g**(1/6)*g)/(g**(-3/11)/g)*(g**1)**(3/19) assuming g is positive.\n' | b'g**(-2418/209)\n' | b'Simplify (g**(1/6)*g**(2/7)*g*g)**(-7)*(g*g*g*g**(1/6)*g)/(g**(-3/11)/g)*(g**1)**(3/19) assuming g is positive.\n' | b'g**(-2418/209)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, a: 1, x: 1, t: 1, k: 1, n: 1}. Give prob of sequence xn.\n' | b'1/42\n' | b'Two letters picked without replacement from {c: 2, a: 1, x: 1, t: 1, k: 1, n: 1}. Give prob of sequence xn.\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 m when two letters picked without replacement from mmbmbmjnbbjmmnn.\n' | b'4/35\n' | b'Calculate prob of picking 1 j and 1 m when two letters picked without replacement from mmbmbmjnbbjmmnn.\n' | b'4/35\n' | deepmind/math_dataset |
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