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 f(z) be the second derivative of -7*z**6/6 + z**3 + 5*z**2/2 - z + 4. What is the second derivative of f(n) wrt n?\n' | b'-420*n**2\n' | b'Let f(z) be the second derivative of -7*z**6/6 + z**3 + 5*z**2/2 - z + 4. What is the second derivative of f(n) wrt n?\n' | b'-420*n**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 t when two letters picked without replacement from ttottttoottoot?\n' | b'45/91\n' | b'What is prob of picking 1 o and 1 t when two letters picked without replacement from ttottttoottoot?\n' | b'45/91\n' | deepmind/math_dataset |
b'Let w = -9348 - -9350. Solve 4*d = w*u - 12, 59*d = 61*d + u + 10 for d.\n' | b'-4\n' | b'Let w = -9348 - -9350. Solve 4*d = w*u - 12, 59*d = 61*d + u + 10 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let i(d) be the second derivative of -d**6/60 - 5*d**4/24 + 7*d**2/2 - 6*d. Let r(z) be the first derivative of i(z). Find the second derivative of r(n) wrt n.\n' | b'-12*n\n' | b'Let i(d) be the second derivative of -d**6/60 - 5*d**4/24 + 7*d**2/2 - 6*d. Let r(z) be the first derivative of i(z). Find the second derivative of r(n) wrt n.\n' | b'-12*n\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 5}. What is prob of picking 2 v?\n' | b'1\n' | b'Two letters picked without replacement from {v: 5}. What is prob of picking 2 v?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 3, s: 1, d: 1}. Give prob of sequence dff.\n' | b'1/10\n' | b'Three letters picked without replacement from {f: 3, s: 1, d: 1}. Give prob of sequence dff.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -y + 27 = -5*v - 8, -2*v = 0. Solve 5*t = -5*x - y, 2*t - t = -3*x - 11 for t.\n' | b'-5\n' | b'Suppose -y + 27 = -5*v - 8, -2*v = 0. Solve 5*t = -5*x - y, 2*t - t = -3*x - 11 for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Let n(d) be the third derivative of -2*d**5/15 - 23*d**4/24 - 25*d**2. Find the second derivative of n(y) wrt y.\n' | b'-16\n' | b'Let n(d) be the third derivative of -2*d**5/15 - 23*d**4/24 - 25*d**2. Find the second derivative of n(y) wrt y.\n' | b'-16\n' | deepmind/math_dataset |
b'Let l(w) = 4*w - 34. Let y(g) = 9*g - 69. Let a(v) = 7*l(v) - 3*y(v). Let f be a(7). Let t be f/(-20)*20/8. Solve -5*q + 0*z = 4*z - 1, 3*z = -t for q.\n' | b'1\n' | b'Let l(w) = 4*w - 34. Let y(g) = 9*g - 69. Let a(v) = 7*l(v) - 3*y(v). Let f be a(7). Let t be f/(-20)*20/8. Solve -5*q + 0*z = 4*z - 1, 3*z = -t for q.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 3, g: 2, v: 5}. What is prob of sequence vk?\n' | b'1/6\n' | b'Two letters picked without replacement from {k: 3, g: 2, v: 5}. What is prob of sequence vk?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let l(x) = x**3 - 5*x - 1. Let z be l(2). Let o(k) = -k**2 + 5*k + 3. Give o(z).\n' | b'-21\n' | b'Let l(x) = x**3 - 5*x - 1. Let z be l(2). Let o(k) = -k**2 + 5*k + 3. Give o(z).\n' | b'-21\n' | deepmind/math_dataset |
b'Calculate prob of sequence fv when two letters picked without replacement from gfgvvgggagaagaga.\n' | b'1/120\n' | b'Calculate prob of sequence fv when two letters picked without replacement from gfgvvgggagaagaga.\n' | b'1/120\n' | deepmind/math_dataset |
b'Suppose 3*x + 53 = -0*d + 5*d, 3*d = -4*x + 26. Let m(r) = 4 + 6*r - 8*r - d. Let t(z) = z**3 - 56*z**2 + 622*z - 113. Let n be t(15). Give m(n).\n' | b'10\n' | b'Suppose 3*x + 53 = -0*d + 5*d, 3*d = -4*x + 26. Let m(r) = 4 + 6*r - 8*r - d. Let t(z) = z**3 - 56*z**2 + 622*z - 113. Let n be t(15). Give m(n).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vjm. What is prob of sequence vm?\n' | b'1/6\n' | b'Two letters picked without replacement from vjm. What is prob of sequence vm?\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 4, y: 14}. Give prob of sequence rr.\n' | b'2/51\n' | b'Two letters picked without replacement from {r: 4, y: 14}. Give prob of sequence rr.\n' | b'2/51\n' | deepmind/math_dataset |
b'Let s(q) be the second derivative of q**6/360 - 7*q**5/120 - 11*q**4/6 + 9*q. Let z(w) be the third derivative of s(w). Calculate z(7).\n' | b'7\n' | b'Let s(q) be the second derivative of q**6/360 - 7*q**5/120 - 11*q**4/6 + 9*q. Let z(w) be the third derivative of s(w). Calculate z(7).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wfwmfwwmwwwmf. What is prob of sequence mwff?\n' | b'21/2860\n' | b'Four letters picked without replacement from wfwmfwwmwwwmf. What is prob of sequence mwff?\n' | b'21/2860\n' | deepmind/math_dataset |
b'Let g = -5260 - -5278. Solve 4*a + 3*h - 17 = 5, 2*a + 5*h - g = 0 for a.\n' | b'4\n' | b'Let g = -5260 - -5278. Solve 4*a + 3*h - 17 = 5, 2*a + 5*h - g = 0 for a.\n' | b'4\n' | deepmind/math_dataset |
b'Let v be (24 - (-22 - -43))/(3/5). Let k(o) = 3 + 7*o - 7*o - 2 + 6*o. Calculate k(v).\n' | b'31\n' | b'Let v be (24 - (-22 - -43))/(3/5). Let k(o) = 3 + 7*o - 7*o - 2 + 6*o. Calculate k(v).\n' | b'31\n' | deepmind/math_dataset |
b'Suppose -v - 57 = -62. Solve 2*y - 20 = -y + l, v = -l for y.\n' | b'5\n' | b'Suppose -v - 57 = -62. Solve 2*y - 20 = -y + l, v = -l for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let k(m) = m**3 - 3*m + 3. Let p be k(2). Let v(n) be the third derivative of -n**5/60 + n**4/4 - 2*n**3/3 + 2*n**2 + 585*n. Give v(p).\n' | b'1\n' | b'Let k(m) = m**3 - 3*m + 3. Let p be k(2). Let v(n) be the third derivative of -n**5/60 + n**4/4 - 2*n**3/3 + 2*n**2 + 585*n. Give v(p).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (q**7)**47 assuming q is positive.\n' | b'q**329\n' | b'Simplify (q**7)**47 assuming q is positive.\n' | b'q**329\n' | deepmind/math_dataset |
b'Suppose -1 = l - 6. Let n be -3 + 5/(l/6). Let o be (-1)/(-2)*(3 + n). Solve 4*k + 3*m = 13, 0 = 3*k - o*m + 4*m - 11 for k.\n' | b'4\n' | b'Suppose -1 = l - 6. Let n be -3 + 5/(l/6). Let o be (-1)/(-2)*(3 + n). Solve 4*k + 3*m = 13, 0 = 3*k - o*m + 4*m - 11 for k.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 234 = -68*t + 86*t. Let y(b) = b - 20. Give y(t).\n' | b'-7\n' | b'Suppose 234 = -68*t + 86*t. Let y(b) = b - 20. Give y(t).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 0 = -5*b - 5*s + 50, 18 = 3*b - b + s. What is the second derivative of b*j**4 - 6*j**4 - 3 - j + 3 wrt j?\n' | b'24*j**2\n' | b'Suppose 0 = -5*b - 5*s + 50, 18 = 3*b - b + s. What is the second derivative of b*j**4 - 6*j**4 - 3 - j + 3 wrt j?\n' | b'24*j**2\n' | deepmind/math_dataset |
b'Suppose 2*h + 30*x - 18 = 33*x, 3*x = 5*h - 18. Solve -4*p + h*p = -3*f + 2, 4*p - 4*f = 0 for p.\n' | b'-2\n' | b'Suppose 2*h + 30*x - 18 = 33*x, 3*x = 5*h - 18. Solve -4*p + h*p = -3*f + 2, 4*p - 4*f = 0 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 l, 1 p, and 1 o when four letters picked without replacement from {o: 7, p: 8, l: 2, j: 2}?\n' | b'14/969\n' | b'What is prob of picking 2 l, 1 p, and 1 o when four letters picked without replacement from {o: 7, p: 8, l: 2, j: 2}?\n' | b'14/969\n' | deepmind/math_dataset |
b'Let t(f) be the third derivative of -f**6/120 - f**5/12 - f**4/12 - 2*f**3/3 + 16*f**2. Calculate t(-5).\n' | b'6\n' | b'Let t(f) be the third derivative of -f**6/120 - f**5/12 - f**4/12 - 2*f**3/3 + 16*f**2. Calculate t(-5).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of picking 1 r and 3 b when four letters picked without replacement from {p: 4, b: 6, r: 1, j: 7}?\n' | b'1/153\n' | b'What is prob of picking 1 r and 3 b when four letters picked without replacement from {p: 4, b: 6, r: 1, j: 7}?\n' | b'1/153\n' | deepmind/math_dataset |
b'Simplify ((g**5*((g/(g**3*g))/g)/g*g)/(g/(g*g*g**(-3/10)*g*g*g)*g*g**(-1)))/((g**6/(g/g**(4/9)))/(((g*g**(-2/11))/g*g)/g**5)) assuming g is positive.\n' | b'g**(-4877/990)\n' | b'Simplify ((g**5*((g/(g**3*g))/g)/g*g)/(g/(g*g*g**(-3/10)*g*g*g)*g*g**(-1)))/((g**6/(g/g**(4/9)))/(((g*g**(-2/11))/g*g)/g**5)) assuming g is positive.\n' | b'g**(-4877/990)\n' | deepmind/math_dataset |
b'Let m(k) be the first derivative of 0*k - 3 + 3/7*k**7 + 0*k**4 + 0*k**6 - 1/3*k**3 + 0*k**2 + 0*k**5. What is the third derivative of m(w) wrt w?\n' | b'360*w**3\n' | b'Let m(k) be the first derivative of 0*k - 3 + 3/7*k**7 + 0*k**4 + 0*k**6 - 1/3*k**3 + 0*k**2 + 0*k**5. What is the third derivative of m(w) wrt w?\n' | b'360*w**3\n' | deepmind/math_dataset |
b'Let s(t) = t**3 + 28*t**2 + 28*t + 30. Let p be s(-27). Solve l + 2*u = -0*u - 2, 0 = -p*l - u - 11 for l.\n' | b'-4\n' | b'Let s(t) = t**3 + 28*t**2 + 28*t + 30. Let p be s(-27). Solve l + 2*u = -0*u - 2, 0 = -p*l - u - 11 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence eej when three letters picked without replacement from {j: 5, s: 8, u: 1, m: 2, e: 3, q: 1}?\n' | b'1/228\n' | b'What is prob of sequence eej when three letters picked without replacement from {j: 5, s: 8, u: 1, m: 2, e: 3, q: 1}?\n' | b'1/228\n' | deepmind/math_dataset |
b'Suppose 0 = 4*k - 4. Let i be (4/k - 1) + 1. Suppose -4*a + 32 = -4*j - 0, -4*a - 3*j + i = 0. Let q(t) = 2*t - 1. Determine q(a).\n' | b'7\n' | b'Suppose 0 = 4*k - 4. Let i be (4/k - 1) + 1. Suppose -4*a + 32 = -4*j - 0, -4*a - 3*j + i = 0. Let q(t) = 2*t - 1. Determine q(a).\n' | b'7\n' | deepmind/math_dataset |
b'Let i(s) = -4*s - 127. Let h(j) = -j - 63. Let f(b) = 5*h(b) - 2*i(b). Let l be f(22). Solve 4*p - n = -2 + l, 5*p - 2*n = 3 for p.\n' | b'1\n' | b'Let i(s) = -4*s - 127. Let h(j) = -j - 63. Let f(b) = 5*h(b) - 2*i(b). Let l be f(22). Solve 4*p - n = -2 + l, 5*p - 2*n = 3 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify g**(7/3)*(g/(g*g**(-2/27)/g*g))/g*g**(5/3)*g**(-2/9)*g*(g**12/g**(-2))**(-2/55) assuming g is positive.\n' | b'g**(4964/1485)\n' | b'Simplify g**(7/3)*(g/(g*g**(-2/27)/g*g))/g*g**(5/3)*g**(-2/9)*g*(g**12/g**(-2))**(-2/55) assuming g is positive.\n' | b'g**(4964/1485)\n' | deepmind/math_dataset |
b'Simplify (p**6)**(-10/7)/(p*p*p**(-1/4))**(-6/19) assuming p is positive.\n' | b'p**(-2133/266)\n' | b'Simplify (p**6)**(-10/7)/(p*p*p**(-1/4))**(-6/19) assuming p is positive.\n' | b'p**(-2133/266)\n' | deepmind/math_dataset |
b'Let j(g) = -2*g**3 - 3*g**2 + 1. Let q(x) = -1187*x**3 + 6*x**2 + 551*x - 2. Let f(t) = 2*j(t) + q(t). Find the second derivative of f(p) wrt p.\n' | b'-7146*p\n' | b'Let j(g) = -2*g**3 - 3*g**2 + 1. Let q(x) = -1187*x**3 + 6*x**2 + 551*x - 2. Let f(t) = 2*j(t) + q(t). Find the second derivative of f(p) wrt p.\n' | b'-7146*p\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {k: 2, x: 5, e: 1, j: 6, s: 1}.\n' | b'2/105\n' | b'Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {k: 2, x: 5, e: 1, j: 6, s: 1}.\n' | b'2/105\n' | deepmind/math_dataset |
b'Let u = -584 + 587. Suppose -h - g - 17 = -4*g, 2*h + 31 = 5*g. Let k be 40/3*(-18)/h. Solve u*d - z - 13 = 0, -5*d + k = -d + 5*z for d.\n' | b'5\n' | b'Let u = -584 + 587. Suppose -h - g - 17 = -4*g, 2*h + 31 = 5*g. Let k be 40/3*(-18)/h. Solve u*d - z - 13 = 0, -5*d + k = -d + 5*z for d.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 2, b: 1, p: 1, e: 2, t: 1}. Give prob of picking 2 e.\n' | b'1/21\n' | b'Two letters picked without replacement from {u: 2, b: 1, p: 1, e: 2, t: 1}. Give prob of picking 2 e.\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mtwybytbwybbm. Give prob of picking 2 y and 2 b.\n' | b'18/715\n' | b'Four letters picked without replacement from mtwybytbwybbm. Give prob of picking 2 y and 2 b.\n' | b'18/715\n' | deepmind/math_dataset |
b'What is prob of sequence xmt when three letters picked without replacement from {p: 1, q: 1, c: 1, x: 2, m: 1, t: 1}?\n' | b'1/105\n' | b'What is prob of sequence xmt when three letters picked without replacement from {p: 1, q: 1, c: 1, x: 2, m: 1, t: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let s = 1 + -1. Differentiate -6 - 2*z**2 + 4 + s + 5*z**2 wrt z.\n' | b'6*z\n' | b'Let s = 1 + -1. Differentiate -6 - 2*z**2 + 4 + s + 5*z**2 wrt z.\n' | b'6*z\n' | deepmind/math_dataset |
b'Two letters picked without replacement from unnnxukunnnnnuxnn. Give prob of picking 2 u.\n' | b'3/68\n' | b'Two letters picked without replacement from unnnxukunnnnnuxnn. Give prob of picking 2 u.\n' | b'3/68\n' | deepmind/math_dataset |
b'Simplify m**(-22)*m*m*m**11/m assuming m is positive.\n' | b'm**(-10)\n' | b'Simplify m**(-22)*m*m*m**11/m assuming m is positive.\n' | b'm**(-10)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, u: 3, a: 2, n: 2, c: 4}. Give prob of sequence nafu.\n' | b'1/715\n' | b'Four letters picked without replacement from {f: 2, u: 3, a: 2, n: 2, c: 4}. Give prob of sequence nafu.\n' | b'1/715\n' | deepmind/math_dataset |
b'Let f = -6 - -31. Solve 4*y + 4*i - 4 = 0, f = 4*i + i for y.\n' | b'-4\n' | b'Let f = -6 - -31. Solve 4*y + 4*i - 4 = 0, f = 4*i + i for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f be -7*(-3)/(-3)*9. Let q = f + 67. Solve 4*x = q*g - x - 16, 0 = 4*g - x for g.\n' | b'-1\n' | b'Let f be -7*(-3)/(-3)*9. Let q = f + 67. Solve 4*x = q*g - x - 16, 0 = 4*g - x for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, u: 8, m: 6}. What is prob of sequence mrmu?\n' | b'2/273\n' | b'Four letters picked without replacement from {r: 1, u: 8, m: 6}. What is prob of sequence mrmu?\n' | b'2/273\n' | deepmind/math_dataset |
b'Let a(p) = p**2 - 6*p. Let j(u) = 3*u**2 - 21*u. Let n(m) = -18*a(m) + 5*j(m). Find the second derivative of n(i) wrt i.\n' | b'-6\n' | b'Let a(p) = p**2 - 6*p. Let j(u) = 3*u**2 - 21*u. Let n(m) = -18*a(m) + 5*j(m). Find the second derivative of n(i) wrt i.\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 5, b: 1, h: 3, r: 4, w: 1}. Give prob of sequence bhr.\n' | b'1/182\n' | b'Three letters picked without replacement from {a: 5, b: 1, h: 3, r: 4, w: 1}. Give prob of sequence bhr.\n' | b'1/182\n' | deepmind/math_dataset |
b'Simplify (n**(2/5)*n**(2/17)*n)/((n**(-6)*n)/(n**(-12)*n)) assuming n is positive.\n' | b'n**(-381/85)\n' | b'Simplify (n**(2/5)*n**(2/17)*n)/((n**(-6)*n)/(n**(-12)*n)) assuming n is positive.\n' | b'n**(-381/85)\n' | deepmind/math_dataset |
b'Let m(x) = -x + 1. Suppose -55 = 2*l - 35. Let p = 10 - l. Suppose -16*n - p = -11*n. What is m(n)?\n' | b'5\n' | b'Let m(x) = -x + 1. Suppose -55 = 2*l - 35. Let p = 10 - l. Suppose -16*n - p = -11*n. What is m(n)?\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 x, 1 v, and 1 q when three letters picked without replacement from {q: 1, x: 12, v: 7}?\n' | b'7/95\n' | b'What is prob of picking 1 x, 1 v, and 1 q when three letters picked without replacement from {q: 1, x: 12, v: 7}?\n' | b'7/95\n' | deepmind/math_dataset |
b'What is the third derivative of -2*d**2 - 35*d - 36*d + 49*d**3 + 65*d wrt d?\n' | b'294\n' | b'What is the third derivative of -2*d**2 - 35*d - 36*d + 49*d**3 + 65*d wrt d?\n' | b'294\n' | deepmind/math_dataset |
b'Let u(l) = -209*l**3 + 9*l**2 + 94*l. Let o(q) = -105*q**3 + 4*q**2 + 48*q. Let s(n) = -9*o(n) + 4*u(n). Find the second derivative of s(w) wrt w.\n' | b'654*w\n' | b'Let u(l) = -209*l**3 + 9*l**2 + 94*l. Let o(q) = -105*q**3 + 4*q**2 + 48*q. Let s(n) = -9*o(n) + 4*u(n). Find the second derivative of s(w) wrt w.\n' | b'654*w\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 5, g: 5}. Give prob of picking 4 h.\n' | b'1/42\n' | b'Four letters picked without replacement from {h: 5, g: 5}. Give prob of picking 4 h.\n' | b'1/42\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gghggggg. Give prob of picking 2 g and 1 h.\n' | b'3/8\n' | b'Three letters picked without replacement from gghggggg. Give prob of picking 2 g and 1 h.\n' | b'3/8\n' | deepmind/math_dataset |
b'Let q(r) = r**3 + r**2 + 6. Let a be q(0). Let u(v) = v**3 - 7*v**2 + 7*v - 7. What is u(a)?\n' | b'-1\n' | b'Let q(r) = r**3 + r**2 + 6. Let a be q(0). Let u(v) = v**3 - 7*v**2 + 7*v - 7. What is u(a)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence qyq when three letters picked without replacement from {y: 10, q: 4}?\n' | b'5/91\n' | b'What is prob of sequence qyq when three letters picked without replacement from {y: 10, q: 4}?\n' | b'5/91\n' | deepmind/math_dataset |
b'Simplify ((y/(y**(-3/8)*y))/(y**(2/13)*y))**(-23/4)/((y*y/((y**(-2/5)/y)/y))**(10/3)/(y*y*y**(-1/4)*y*y)**30) assuming y is positive.\n' | b'y**(127685/1248)\n' | b'Simplify ((y/(y**(-3/8)*y))/(y**(2/13)*y))**(-23/4)/((y*y/((y**(-2/5)/y)/y))**(10/3)/(y*y*y**(-1/4)*y*y)**30) assuming y is positive.\n' | b'y**(127685/1248)\n' | deepmind/math_dataset |
b'Simplify ((q*q*(q/(q*q/(q*q**2)))/q)/(q**(1/4)/q))/(q**(-1))**(-16)*(q**2)**(-36/11)/(q**(-8)/q**6) assuming q is positive.\n' | b'q**(-211/44)\n' | b'Simplify ((q*q*(q/(q*q/(q*q**2)))/q)/(q**(1/4)/q))/(q**(-1))**(-16)*(q**2)**(-36/11)/(q**(-8)/q**6) assuming q is positive.\n' | b'q**(-211/44)\n' | deepmind/math_dataset |
b'Let a = 40 + -38. Let w(s) be the first derivative of -3 - 2/3*s**3 + 3/2*s**a + 3*s. What is w(3)?\n' | b'-6\n' | b'Let a = 40 + -38. Let w(s) be the first derivative of -3 - 2/3*s**3 + 3/2*s**a + 3*s. What is w(3)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let b(k) be the first derivative of 25*k**6/6 + 3*k**4/4 + k**3/3 - 28*k**2 + 266. What is the third derivative of b(c) wrt c?\n' | b'1500*c**2 + 18\n' | b'Let b(k) be the first derivative of 25*k**6/6 + 3*k**4/4 + k**3/3 - 28*k**2 + 266. What is the third derivative of b(c) wrt c?\n' | b'1500*c**2 + 18\n' | deepmind/math_dataset |
b'Simplify (((c*c/(c*c/(c**14/c)))/c*c)/c)/c**(-4/11)*(c/c**(-13))/c*c**(-1/8)*c assuming c is positive.\n' | b'c**(2309/88)\n' | b'Simplify (((c*c/(c*c/(c**14/c)))/c*c)/c)/c**(-4/11)*(c/c**(-13))/c*c**(-1/8)*c assuming c is positive.\n' | b'c**(2309/88)\n' | deepmind/math_dataset |
b'Simplify (q**(13/6)*q/q**(-4)*(q**21*q)/(q*q/(q/(q**(19/4)/q)*q*q)))**(3/4) assuming q is positive.\n' | b'q**(317/16)\n' | b'Simplify (q**(13/6)*q/q**(-4)*(q**21*q)/(q*q/(q/(q**(19/4)/q)*q*q)))**(3/4) assuming q is positive.\n' | b'q**(317/16)\n' | deepmind/math_dataset |
b'Suppose -9*w + 1 + 26 = 0. Suppose 3*c - 69 = -w*f, -4*c - f + 62 = -21. Solve 3*v + 4 = m + 14, -2*v = 2*m - c for v.\n' | b'5\n' | b'Suppose -9*w + 1 + 26 = 0. Suppose 3*c - 69 = -w*f, -4*c - f + 62 = -21. Solve 3*v + 4 = m + 14, -2*v = 2*m - c for v.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oenooozffnnoeof. What is prob of picking 3 f and 1 n?\n' | b'1/455\n' | b'Four letters picked without replacement from oenooozffnnoeof. What is prob of picking 3 f and 1 n?\n' | b'1/455\n' | deepmind/math_dataset |
b'Let l be ((-5)/3)/(1/3). Let u(f) = -2*f + 2. Let y(x) be the third derivative of x**4/6 - 5*x**3/6 - 4*x**2. Let w(p) = 5*u(p) + 2*y(p). Give w(l).\n' | b'10\n' | b'Let l be ((-5)/3)/(1/3). Let u(f) = -2*f + 2. Let y(x) be the third derivative of x**4/6 - 5*x**3/6 - 4*x**2. Let w(p) = 5*u(p) + 2*y(p). Give w(l).\n' | b'10\n' | deepmind/math_dataset |
b'Let c(g) = -g**3 + 14*g**2 + 4*g - 5. Let n be c(13). Let w = 221 - n. Solve 4*k = -0*k - w*b + 6, 2*k - 16 = 4*b for k.\n' | b'4\n' | b'Let c(g) = -g**3 + 14*g**2 + 4*g - 5. Let n be c(13). Let w = 221 - n. Solve 4*k = -0*k - w*b + 6, 2*k - 16 = 4*b for k.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((u**(3/5)/u*((u**7*u)/u)/u)/(u*u**(1/3))**48)**(-39) assuming u is positive.\n' | b'u**(11388/5)\n' | b'Simplify ((u**(3/5)/u*((u**7*u)/u)/u)/(u*u**(1/3))**48)**(-39) assuming u is positive.\n' | b'u**(11388/5)\n' | deepmind/math_dataset |
b'Suppose -6*n - 6 = -9*n. What is the second derivative of -9*x**2 + 31*x + 6*x**n + 5*x - 35*x**2 wrt x?\n' | b'-76\n' | b'Suppose -6*n - 6 = -9*n. What is the second derivative of -9*x**2 + 31*x + 6*x**n + 5*x - 35*x**2 wrt x?\n' | b'-76\n' | deepmind/math_dataset |
b'Simplify ((w*w**(-1/7))/w)/(w/w**(-3)*w)*w**(4/7)/w*w*w*w*w**(2/17)*w*w assuming w is positive.\n' | b'w**(-54/119)\n' | b'Simplify ((w*w**(-1/7))/w)/(w/w**(-3)*w)*w**(4/7)/w*w*w*w*w**(2/17)*w*w assuming w is positive.\n' | b'w**(-54/119)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 9}. Give prob of sequence hhhh.\n' | b'1\n' | b'Four letters picked without replacement from {h: 9}. Give prob of sequence hhhh.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((((g/((g**(-3/8)*g)/g))/g)/g)/((g*g**0*g)/g*g))/((g/(((g**(1/5)/g)/g)/g*g)*g*g)/g**(-2/5))*((g/g**(-1))**(-3/2))**(1/4) assuming g is positive.\n' | b'g**(-343/40)\n' | b'Simplify ((((g/((g**(-3/8)*g)/g))/g)/g)/((g*g**0*g)/g*g))/((g/(((g**(1/5)/g)/g)/g*g)*g*g)/g**(-2/5))*((g/g**(-1))**(-3/2))**(1/4) assuming g is positive.\n' | b'g**(-343/40)\n' | deepmind/math_dataset |
b'Let n(z) be the first derivative of z**4/4 - 2*z**3 + 5*z**2/2 - 2*z + 20. Calculate n(5).\n' | b'-2\n' | b'Let n(z) be the first derivative of z**4/4 - 2*z**3 + 5*z**2/2 - 2*z + 20. Calculate n(5).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cqcqcccccqc. What is prob of picking 3 c?\n' | b'56/165\n' | b'Three letters picked without replacement from cqcqcccccqc. What is prob of picking 3 c?\n' | b'56/165\n' | deepmind/math_dataset |
b'Simplify ((w/w**5*((w*w/(w*w**(-3/2)))/w)/w)**17)**(-1) assuming w is positive.\n' | b'w**(119/2)\n' | b'Simplify ((w/w**5*((w*w/(w*w**(-3/2)))/w)/w)**17)**(-1) assuming w is positive.\n' | b'w**(119/2)\n' | deepmind/math_dataset |
b'Simplify (((((o/(o/(o/o**(-1/37))))/o)/o)/o)/o*o**29*(o/(o**(-1/33)/o))/o**0)**43 assuming o is positive.\n' | b'o**(1473094/1221)\n' | b'Simplify (((((o/(o/(o/o**(-1/37))))/o)/o)/o)/o*o**29*(o/(o**(-1/33)/o))/o**0)**43 assuming o is positive.\n' | b'o**(1473094/1221)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f and 2 j when four letters picked without replacement from {b: 2, j: 3, f: 5}.\n' | b'1/7\n' | b'Calculate prob of picking 2 f and 2 j when four letters picked without replacement from {b: 2, j: 3, f: 5}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let c = 60 + -58. Let z(p) be the first derivative of -223*p + 245*p - 8 - 15 - 8*p**2 - 3*p**c. What is the derivative of z(k) wrt k?\n' | b'-22\n' | b'Let c = 60 + -58. Let z(p) be the first derivative of -223*p + 245*p - 8 - 15 - 8*p**2 - 3*p**c. What is the derivative of z(k) wrt k?\n' | b'-22\n' | deepmind/math_dataset |
b'Simplify (((b/(b/b**(-4)))/b**(-4))/(b**1)**23)/((b**(1/8)*b**(2/19))/(b*b*b**(-4)*b*b**(-3/2))) assuming b is positive.\n' | b'b**(-3911/152)\n' | b'Simplify (((b/(b/b**(-4)))/b**(-4))/(b**1)**23)/((b**(1/8)*b**(2/19))/(b*b*b**(-4)*b*b**(-3/2))) assuming b is positive.\n' | b'b**(-3911/152)\n' | deepmind/math_dataset |
b'Simplify (b**(1/11)/(b*b*b*b**(-37)))**12 assuming b is positive.\n' | b'b**(4500/11)\n' | b'Simplify (b**(1/11)/(b*b*b*b**(-37)))**12 assuming b is positive.\n' | b'b**(4500/11)\n' | deepmind/math_dataset |
b'Let q(a) be the third derivative of 7*a**6/60 - a**5/15 + a**4/12 + 59*a**3/6 + 1021*a**2. What is the second derivative of q(i) wrt i?\n' | b'84*i - 8\n' | b'Let q(a) be the third derivative of 7*a**6/60 - a**5/15 + a**4/12 + 59*a**3/6 + 1021*a**2. What is the second derivative of q(i) wrt i?\n' | b'84*i - 8\n' | deepmind/math_dataset |
b'Let x(b) be the first derivative of -65/3*b**3 + 0*b**2 + 0*b + 0*b**4 + 0*b**5 + 120 - 88/7*b**7 + 0*b**6. Find the third derivative of x(l) wrt l.\n' | b'-10560*l**3\n' | b'Let x(b) be the first derivative of -65/3*b**3 + 0*b**2 + 0*b + 0*b**4 + 0*b**5 + 120 - 88/7*b**7 + 0*b**6. Find the third derivative of x(l) wrt l.\n' | b'-10560*l**3\n' | deepmind/math_dataset |
b'Simplify w**(-27)*((w*w**23)/w)/w assuming w is positive.\n' | b'w**(-5)\n' | b'Simplify w**(-27)*((w*w**23)/w)/w assuming w is positive.\n' | b'w**(-5)\n' | deepmind/math_dataset |
b'Suppose 0*y - 5*y + 5 = 0. Let b be (y - 0)*-3*-1. What is the first derivative of -4 + 2 + 2*u**b - u**3 wrt u?\n' | b'3*u**2\n' | b'Suppose 0*y - 5*y + 5 = 0. Let b be (y - 0)*-3*-1. What is the first derivative of -4 + 2 + 2*u**b - u**3 wrt u?\n' | b'3*u**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 t and 1 l when three letters picked without replacement from {x: 4, g: 4, t: 5, w: 1, l: 2}?\n' | b'1/28\n' | b'What is prob of picking 2 t and 1 l when three letters picked without replacement from {x: 4, g: 4, t: 5, w: 1, l: 2}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let p(v) be the first derivative of 607*v**4/2 + 3*v**3 + 41*v**2/2 - 446. What is the third derivative of p(z) wrt z?\n' | b'7284\n' | b'Let p(v) be the first derivative of 607*v**4/2 + 3*v**3 + 41*v**2/2 - 446. What is the third derivative of p(z) wrt z?\n' | b'7284\n' | deepmind/math_dataset |
b'Let o(u) = u**2 + 13*u + 18. Let b be o(-3). Let m be (-2)/3 + ((-20)/b - -4). Solve -3*a - m = -y - 4, -4*y - 11 = 3*a for y.\n' | b'-2\n' | b'Let o(u) = u**2 + 13*u + 18. Let b be o(-3). Let m be (-2)/3 + ((-20)/b - -4). Solve -3*a - m = -y - 4, -4*y - 11 = 3*a for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(g) = g**3 - 4*g**2 - 4*g. Let j be a(5). Let d(c) = 6 + c**3 + 3*c + 0 - 6*c**2 + 3*c. Determine d(j).\n' | b'11\n' | b'Let a(g) = g**3 - 4*g**2 - 4*g. Let j be a(5). Let d(c) = 6 + c**3 + 3*c + 0 - 6*c**2 + 3*c. Determine d(j).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose -6*l = -4*l. Solve l = -4*v + 5*z - 1, 4*v + 19 = -4*z - 9 for v.\n' | b'-4\n' | b'Suppose -6*l = -4*l. Solve l = -4*v + 5*z - 1, 4*v + 19 = -4*z - 9 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (o**(-1))**(-12/19)/((o**1/o)/o*o)**(4/35) assuming o is positive.\n' | b'o**(12/19)\n' | b'Simplify (o**(-1))**(-12/19)/((o**1/o)/o*o)**(4/35) assuming o is positive.\n' | b'o**(12/19)\n' | deepmind/math_dataset |
b'Let l(j) = j**2 + 115*j + 1500. Let z be l(-100). Let a(u) = -u**3 - 13. Determine a(z).\n' | b'-13\n' | b'Let l(j) = j**2 + 115*j + 1500. Let z be l(-100). Let a(u) = -u**3 - 13. Determine a(z).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify ((n**(1/2))**7*n**(-2/9)*n*n**2)/((n**1)**10*(n*n**(-4/7)*n)/(n/(n/(n/n**4)))) assuming n is positive.\n' | b'n**(-1027/126)\n' | b'Simplify ((n**(1/2))**7*n**(-2/9)*n*n**2)/((n**1)**10*(n*n**(-4/7)*n)/(n/(n/(n/n**4)))) assuming n is positive.\n' | b'n**(-1027/126)\n' | deepmind/math_dataset |
b'Let v(a) be the second derivative of 7/6*a**3 - 1/20*a**5 + 0 + 0*a**2 + 9*a - 1/2*a**4. Determine v(-7).\n' | b'0\n' | b'Let v(a) be the second derivative of 7/6*a**3 - 1/20*a**5 + 0 + 0*a**2 + 9*a - 1/2*a**4. Determine v(-7).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence kq when two letters picked without replacement from atattaqktaaattuaauat.\n' | b'1/380\n' | b'Calculate prob of sequence kq when two letters picked without replacement from atattaqktaaattuaauat.\n' | b'1/380\n' | deepmind/math_dataset |
b'Let o(z) be the third derivative of 17*z**6/6 + z**4/8 - 6*z**3 - 381*z**2. Find the second derivative of o(c) wrt c.\n' | b'2040*c\n' | b'Let o(z) be the third derivative of 17*z**6/6 + z**4/8 - 6*z**3 - 381*z**2. Find the second derivative of o(c) wrt c.\n' | b'2040*c\n' | deepmind/math_dataset |
b'Let b = 41 - 36. Solve -5*h + 1 = 4*n, -5*n + 15 = -b*h - 20 for h.\n' | b'-3\n' | b'Let b = 41 - 36. Solve -5*h + 1 = 4*n, -5*n + 15 = -b*h - 20 for h.\n' | b'-3\n' | deepmind/math_dataset |
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