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 bqiiqyqyiyiqiiiqiq. Give prob of sequence byqy.\n' | b'1/2040\n' | b'Four letters picked without replacement from bqiiqyqyiyiqiiiqiq. Give prob of sequence byqy.\n' | b'1/2040\n' | deepmind/math_dataset |
b'Let g(v) = v**2 + 18*v + 25. Let b(x) = -2*x**2 - 34*x - 49. Let q(z) = 6*b(z) + 11*g(z). Find the first derivative of q(u) wrt u.\n' | b'-2*u - 6\n' | b'Let g(v) = v**2 + 18*v + 25. Let b(x) = -2*x**2 - 34*x - 49. Let q(z) = 6*b(z) + 11*g(z). Find the first derivative of q(u) wrt u.\n' | b'-2*u - 6\n' | deepmind/math_dataset |
b'Simplify (o**(-23/4)*o**(-1/16)/o*o)/(((o*o**(-2/25))/o)/o**(-18/11)) assuming o is positive.\n' | b'o**(-32423/4400)\n' | b'Simplify (o**(-23/4)*o**(-1/16)/o*o)/(((o*o**(-2/25))/o)/o**(-18/11)) assuming o is positive.\n' | b'o**(-32423/4400)\n' | deepmind/math_dataset |
b'Let c(t) = -t**3 + t**2 + t - 1. Suppose -4*q = -f, q - 4*f = -4*q - 11. Let h be q/(2 + (-6)/4). Suppose 5 = -w - 4*g - 1, g = -h. What is c(w)?\n' | b'-3\n' | b'Let c(t) = -t**3 + t**2 + t - 1. Suppose -4*q = -f, q - 4*f = -4*q - 11. Let h be q/(2 + (-6)/4). Suppose 5 = -w - 4*g - 1, g = -h. What is c(w)?\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 p when four letters picked without replacement from pppppp.\n' | b'1\n' | b'Calculate prob of picking 4 p when four letters picked without replacement from pppppp.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(h) = 5*h + 19*h + 15*h. Give d(-1).\n' | b'-39\n' | b'Let d(h) = 5*h + 19*h + 15*h. Give d(-1).\n' | b'-39\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 2, w: 11}. What is prob of picking 2 w and 2 a?\n' | b'1/13\n' | b'Four letters picked without replacement from {a: 2, w: 11}. What is prob of picking 2 w and 2 a?\n' | b'1/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxpxbbbxxbxbx. What is prob of sequence xbx?\n' | b'35/286\n' | b'Three letters picked without replacement from xxpxbbbxxbxbx. What is prob of sequence xbx?\n' | b'35/286\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhhoohhhoh. Give prob of picking 3 o and 1 h.\n' | b'1/30\n' | b'Four letters picked without replacement from hhhoohhhoh. Give prob of picking 3 o and 1 h.\n' | b'1/30\n' | deepmind/math_dataset |
b'What is prob of picking 1 o, 2 j, and 1 c when four letters picked without replacement from ojojcjjooojcj?\n' | b'30/143\n' | b'What is prob of picking 1 o, 2 j, and 1 c when four letters picked without replacement from ojojcjjooojcj?\n' | b'30/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwkmmmwmmmwmkwmmmw. Give prob of picking 1 k and 1 m.\n' | b'20/153\n' | b'Two letters picked without replacement from wwkmmmwmmmwmkwmmmw. Give prob of picking 1 k and 1 m.\n' | b'20/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, v: 1, j: 2, x: 5}. Give prob of sequence jx.\n' | b'5/36\n' | b'Two letters picked without replacement from {s: 1, v: 1, j: 2, x: 5}. Give prob of sequence jx.\n' | b'5/36\n' | deepmind/math_dataset |
b'Let f = -29 + 14. Let w be ((-6)/(-5))/(f/(-50)). Solve 2*q - 5*t + 1 = -17, 0 = 4*q - 2*t + w for q.\n' | b'1\n' | b'Let f = -29 + 14. Let w be ((-6)/(-5))/(f/(-50)). Solve 2*q - 5*t + 1 = -17, 0 = 4*q - 2*t + w for q.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify n*n**(4/17)*n*n**(-2/5)/n*n**(-34)/n**(-24) assuming n is positive.\n' | b'n**(-779/85)\n' | b'Simplify n*n**(4/17)*n*n**(-2/5)/n*n**(-34)/n**(-24) assuming n is positive.\n' | b'n**(-779/85)\n' | deepmind/math_dataset |
b'What is prob of sequence aa when two letters picked without replacement from {a: 7, r: 1}?\n' | b'3/4\n' | b'What is prob of sequence aa when two letters picked without replacement from {a: 7, r: 1}?\n' | b'3/4\n' | deepmind/math_dataset |
b'What is prob of picking 3 u and 1 w when four letters picked without replacement from {u: 3, w: 11}?\n' | b'1/91\n' | b'What is prob of picking 3 u and 1 w when four letters picked without replacement from {u: 3, w: 11}?\n' | b'1/91\n' | deepmind/math_dataset |
b'Let c(g) = -304*g**2 + 2*g - 103. Let u(a) = 2130*a**2 - 15*a + 720. Let n(h) = 15*c(h) + 2*u(h). Find the first derivative of n(x) wrt x.\n' | b'-600*x\n' | b'Let c(g) = -304*g**2 + 2*g - 103. Let u(a) = 2130*a**2 - 15*a + 720. Let n(h) = 15*c(h) + 2*u(h). Find the first derivative of n(x) wrt x.\n' | b'-600*x\n' | deepmind/math_dataset |
b'Let a be (-76)/(-10) + 3/((-45)/(-6)). Suppose a = f - t + 3, f - 3 = 3*t. Solve f = 3*h + 3*o, 5*h - 5*o + 4*o + 14 = 0 for h.\n' | b'-2\n' | b'Let a be (-76)/(-10) + 3/((-45)/(-6)). Suppose a = f - t + 3, f - 3 = 3*t. Solve f = 3*h + 3*o, 5*h - 5*o + 4*o + 14 = 0 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let t(s) = 9*s**2 - s. Let d be t(1). Suppose -y + 0*y + h = -2, -d = -3*y + h. Solve -16 = 4*v, -3*g = g - y*v - 4 for g.\n' | b'-2\n' | b'Let t(s) = 9*s**2 - s. Let d be t(1). Suppose -y + 0*y + h = -2, -d = -3*y + h. Solve -16 = 4*v, -3*g = g - y*v - 4 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u(o) = o**3 + 9*o**2 + 2. Let c be u(-9). Let k(y) = y**2 - 9*y + 10. Calculate k(c).\n' | b'-4\n' | b'Let u(o) = o**3 + 9*o**2 + 2. Let c be u(-9). Let k(y) = y**2 - 9*y + 10. Calculate k(c).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jrrjwojjwh. Give prob of picking 1 r and 1 o.\n' | b'2/45\n' | b'Two letters picked without replacement from jrrjwojjwh. Give prob of picking 1 r and 1 o.\n' | b'2/45\n' | deepmind/math_dataset |
b'What is prob of sequence xfg when three letters picked without replacement from xfxxxgrbgfzxg?\n' | b'5/286\n' | b'What is prob of sequence xfg when three letters picked without replacement from xfxxxgrbgfzxg?\n' | b'5/286\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 3, w: 2, n: 1, o: 1}. Give prob of picking 1 n, 1 o, and 1 w.\n' | b'2/35\n' | b'Three letters picked without replacement from {q: 3, w: 2, n: 1, o: 1}. Give prob of picking 1 n, 1 o, and 1 w.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let j(b) = b**3 - 4*b**2 - b + 6. Let f be j(4). Suppose -r = -4 + f. Solve -d - d + 2 = -2*k, -r*d - 2*k = -10 for d.\n' | b'3\n' | b'Let j(b) = b**3 - 4*b**2 - b + 6. Let f be j(4). Suppose -r = -4 + f. Solve -d - d + 2 = -2*k, -r*d - 2*k = -10 for d.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence cbj when three letters picked without replacement from {z: 1, b: 5, e: 2, c: 2, j: 5, d: 1}.\n' | b'5/336\n' | b'Calculate prob of sequence cbj when three letters picked without replacement from {z: 1, b: 5, e: 2, c: 2, j: 5, d: 1}.\n' | b'5/336\n' | deepmind/math_dataset |
b'Simplify (s/(s/s**(-9))*s*s*s**(2/7)*s)**(-41)/(s**(-2/11)*s*s*s**1/s*s*s**(-2/11)*s/s**(2/7)) assuming s is positive.\n' | b's**(17782/77)\n' | b'Simplify (s/(s/s**(-9))*s*s*s**(2/7)*s)**(-41)/(s**(-2/11)*s*s*s**1/s*s*s**(-2/11)*s/s**(2/7)) assuming s is positive.\n' | b's**(17782/77)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 2 u when three letters picked without replacement from {y: 1, u: 18}.\n' | b'3/19\n' | b'Calculate prob of picking 1 y and 2 u when three letters picked without replacement from {y: 1, u: 18}.\n' | b'3/19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aahhaahaahha. What is prob of picking 3 h?\n' | b'1/22\n' | b'Three letters picked without replacement from aahhaahaahha. What is prob of picking 3 h?\n' | b'1/22\n' | deepmind/math_dataset |
b'Suppose 8 = -17*a + 19*a. Solve 4*f + 4 = -4*g, -g = a*f - 2*f - 1 for g.\n' | b'-3\n' | b'Suppose 8 = -17*a + 19*a. Solve 4*f + 4 = -4*g, -g = a*f - 2*f - 1 for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Let m(c) = c**3 + c**2 + 5*c + 4. Suppose -36*l = 9*l - 5175. Suppose -30 = 125*v - l*v. Determine m(v).\n' | b'-29\n' | b'Let m(c) = c**3 + c**2 + 5*c + 4. Suppose -36*l = 9*l - 5175. Suppose -30 = 125*v - l*v. Determine m(v).\n' | b'-29\n' | deepmind/math_dataset |
b'Find the first derivative of 1 + 2*j**4 + 2*j**4 - 6*j**4 wrt j.\n' | b'-8*j**3\n' | b'Find the first derivative of 1 + 2*j**4 + 2*j**4 - 6*j**4 wrt j.\n' | b'-8*j**3\n' | deepmind/math_dataset |
b'Let x be 24/(-4)*(4/2 - 1). Let i(o) = 3*o**2 + 4*o - 6. Let n = 1 - -1. Let j(s) = -4*s**2 - 4*s + 5. Let b(g) = n*j(g) + 3*i(g). Calculate b(x).\n' | b'4\n' | b'Let x be 24/(-4)*(4/2 - 1). Let i(o) = 3*o**2 + 4*o - 6. Let n = 1 - -1. Let j(s) = -4*s**2 - 4*s + 5. Let b(g) = n*j(g) + 3*i(g). Calculate b(x).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (r**(-2/19)/(r**0/r*r)*r**2*(r**(-7)/r*r)/r)**1 assuming r is positive.\n' | b'r**(-116/19)\n' | b'Simplify (r**(-2/19)/(r**0/r*r)*r**2*(r**(-7)/r*r)/r)**1 assuming r is positive.\n' | b'r**(-116/19)\n' | deepmind/math_dataset |
b'Let s be 42 - (18/12)/((-6)/(-8)). Let w be (s/(-16))/(((-5)/(-2))/(-5)). Solve -w*y + 0*y = 4*f + 37, f - 7 = 2*y for y.\n' | b'-5\n' | b'Let s be 42 - (18/12)/((-6)/(-8)). Let w be (s/(-16))/(((-5)/(-2))/(-5)). Solve -w*y + 0*y = 4*f + 37, f - 7 = 2*y for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 11, q: 3}. Give prob of picking 2 e and 1 q.\n' | b'165/364\n' | b'Three letters picked without replacement from {e: 11, q: 3}. Give prob of picking 2 e and 1 q.\n' | b'165/364\n' | deepmind/math_dataset |
b'Let g(o) be the second derivative of 4/3*o**3 + 1/20*o**5 + 0 + 4*o**2 - 16*o + 7/12*o**4. Calculate g(-6).\n' | b'-4\n' | b'Let g(o) be the second derivative of 4/3*o**3 + 1/20*o**5 + 0 + 4*o**2 - 16*o + 7/12*o**4. Calculate g(-6).\n' | b'-4\n' | deepmind/math_dataset |
b'What is the third derivative of 63*f**2 + 51*f**2 + 56*f**2 - 8 - 45*f**3 - 80*f**3 + 6 wrt f?\n' | b'-750\n' | b'What is the third derivative of 63*f**2 + 51*f**2 + 56*f**2 - 8 - 45*f**3 - 80*f**3 + 6 wrt f?\n' | b'-750\n' | deepmind/math_dataset |
b'Suppose -3*z + 3*d + 96 = 0, 0*z + 4*d = z - 47. Solve 29*p - z*p + 24 = 4*t, 0 = -3*p - t - 1 for p.\n' | b'-2\n' | b'Suppose -3*z + 3*d + 96 = 0, 0*z + 4*d = z - 47. Solve 29*p - z*p + 24 = 4*t, 0 = -3*p - t - 1 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((c*c*c/c**(1/20)*c)/(c*c**(1/24)/c*c))**35 assuming c is positive.\n' | b'c**(2443/24)\n' | b'Simplify ((c*c*c/c**(1/20)*c)/(c*c**(1/24)/c*c))**35 assuming c is positive.\n' | b'c**(2443/24)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 4, i: 1, f: 8, g: 7}?\n' | b'16/95\n' | b'What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 4, i: 1, f: 8, g: 7}?\n' | b'16/95\n' | deepmind/math_dataset |
b'Calculate prob of sequence fff when three letters picked without replacement from {f: 10}.\n' | b'1\n' | b'Calculate prob of sequence fff when three letters picked without replacement from {f: 10}.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pmm. Give prob of sequence pmm.\n' | b'1/3\n' | b'Three letters picked without replacement from pmm. Give prob of sequence pmm.\n' | b'1/3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 9, z: 3}. What is prob of sequence wzwz?\n' | b'2/55\n' | b'Four letters picked without replacement from {w: 9, z: 3}. What is prob of sequence wzwz?\n' | b'2/55\n' | deepmind/math_dataset |
b'Let p = -12 + 96. Let y be (1 - 1) + -2 + 4. Suppose -y*c + p = 10*c. Solve -2*x + c*x - 2*q = 28, 3*q = -3*x for x.\n' | b'4\n' | b'Let p = -12 + 96. Let y be (1 - 1) + -2 + 4. Suppose -y*c + p = 10*c. Solve -2*x + c*x - 2*q = 28, 3*q = -3*x for x.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -4*m = -4*c - 455 + 107, 0 = -2*m - 4. Let a = -70 - c. Solve 4*b = -3*q + 5*b - a, -45 = 5*q - 5*b for q.\n' | b'-5\n' | b'Suppose -4*m = -4*c - 455 + 107, 0 = -2*m - 4. Let a = -70 - c. Solve 4*b = -3*q + 5*b - a, -45 = 5*q - 5*b for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -69*n + 66*n + 18. Suppose 6 = y - 4*h + n*h, -5*y + 18 = 4*h. Solve -r - 2*s = -2*r - 8, -5*r = y*s - 20 for r.\n' | b'2\n' | b'Suppose 0 = -69*n + 66*n + 18. Suppose 6 = y - 4*h + n*h, -5*y + 18 = 4*h. Solve -r - 2*s = -2*r - 8, -5*r = y*s - 20 for r.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -7*r = -3*r - 12, x - 6 = -r. Suppose -x*q + 9 = 3. Suppose 0*k = -5*k + 20. Solve -k = m + q*h, -4*m - 2*h = -6*h - 20 for m.\n' | b'2\n' | b'Suppose -7*r = -3*r - 12, x - 6 = -r. Suppose -x*q + 9 = 3. Suppose 0*k = -5*k + 20. Solve -k = m + q*h, -4*m - 2*h = -6*h - 20 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ozobo. What is prob of picking 2 o, 1 b, and 1 z?\n' | b'3/5\n' | b'Four letters picked without replacement from ozobo. What is prob of picking 2 o, 1 b, and 1 z?\n' | b'3/5\n' | deepmind/math_dataset |
b'Suppose -3*k = -7*k. Let w(t) be the third derivative of 1/30*t**5 + k + 0*t + 0*t**4 - 1/3*t**3 + t**2. What is the derivative of w(r) wrt r?\n' | b'4*r\n' | b'Suppose -3*k = -7*k. Let w(t) be the third derivative of 1/30*t**5 + k + 0*t + 0*t**4 - 1/3*t**3 + t**2. What is the derivative of w(r) wrt r?\n' | b'4*r\n' | deepmind/math_dataset |
b'Let u(r) = -r**2 + 193*r - 380. Let v be u(2). Solve -v*x - 5*f + 3 = 0, 2*f = -10*x + 11*x - 6 for x.\n' | b'4\n' | b'Let u(r) = -r**2 + 193*r - 380. Let v be u(2). Solve -v*x - 5*f + 3 = 0, 2*f = -10*x + 11*x - 6 for x.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence huss when four letters picked without replacement from qhspsspususuhussp?\n' | b'1/170\n' | b'What is prob of sequence huss when four letters picked without replacement from qhspsspususuhussp?\n' | b'1/170\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from nnzntth.\n' | b'1/21\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from nnzntth.\n' | b'1/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence njyy when four letters picked without replacement from jyjgnyjygg.\n' | b'1/280\n' | b'Calculate prob of sequence njyy when four letters picked without replacement from jyjgnyjygg.\n' | b'1/280\n' | deepmind/math_dataset |
b'Find the third derivative of 96*m**3 + 360*m - 322*m**3 - 132*m**3 + 27*m**2 - 13*m**2 - 17*m**2 wrt m.\n' | b'-2148\n' | b'Find the third derivative of 96*m**3 + 360*m - 322*m**3 - 132*m**3 + 27*m**2 - 13*m**2 - 17*m**2 wrt m.\n' | b'-2148\n' | deepmind/math_dataset |
b'Suppose -14 = t + 5*r, 0 = -5*t - 4*r + 8 + 6. Let l = 7 + -5. Let w(i) = t*i + l*i**2 - 10*i**2 - 5*i. Calculate w(-1).\n' | b'-9\n' | b'Suppose -14 = t + 5*r, 0 = -5*t - 4*r + 8 + 6. Let l = 7 + -5. Let w(i) = t*i + l*i**2 - 10*i**2 - 5*i. Calculate w(-1).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((((i*(i*i**(-8)*i)/i*i*i*i*i)/i*i)/i*i)/i**3)/(i*i**(-9)*i**(-2/31)*i) assuming i is positive.\n' | b'i**(64/31)\n' | b'Simplify ((((i*(i*i**(-8)*i)/i*i*i*i*i)/i*i)/i*i)/i**3)/(i*i**(-9)*i**(-2/31)*i) assuming i is positive.\n' | b'i**(64/31)\n' | deepmind/math_dataset |
b'Simplify ((((k*k**5)/k)/k)/(k/(k**(-3/7)*k*k)*k))**27*(k/(k*k**(-2/9))*k*k*k**6*k)/(k*k**0*k*k**0*k) assuming k is positive.\n' | b'k**(6467/63)\n' | b'Simplify ((((k*k**5)/k)/k)/(k/(k**(-3/7)*k*k)*k))**27*(k/(k*k**(-2/9))*k*k*k**6*k)/(k*k**0*k*k**0*k) assuming k is positive.\n' | b'k**(6467/63)\n' | deepmind/math_dataset |
b'Let a(d) be the first derivative of -6 + 5*d + 0*d**4 + 1/5*d**5 + 0*d**2 + 0*d**3. What is the derivative of a(n) wrt n?\n' | b'4*n**3\n' | b'Let a(d) be the first derivative of -6 + 5*d + 0*d**4 + 1/5*d**5 + 0*d**2 + 0*d**3. What is the derivative of a(n) wrt n?\n' | b'4*n**3\n' | deepmind/math_dataset |
b'Simplify g**(-2)/g*g*g*g**3*g**(-4)*g/g**3*((g/g**(-1/2))/g)**31/(g**(2/11)*g**(-2)) assuming g is positive.\n' | b'g**(293/22)\n' | b'Simplify g**(-2)/g*g*g*g**3*g**(-4)*g/g**3*((g/g**(-1/2))/g)**31/(g**(2/11)*g**(-2)) assuming g is positive.\n' | b'g**(293/22)\n' | deepmind/math_dataset |
b'Let m(w) be the first derivative of -289*w**5/5 + 9*w**2/2 + w - 65. What is the second derivative of m(c) wrt c?\n' | b'-3468*c**2\n' | b'Let m(w) be the first derivative of -289*w**5/5 + 9*w**2/2 + w - 65. What is the second derivative of m(c) wrt c?\n' | b'-3468*c**2\n' | deepmind/math_dataset |
b'Suppose 9*x - 31*x + 110 = 0. What is the third derivative of -4*q**5 + 3*q**5 + q**5 + q**x + 272*q**4 + 0*q**5 - 78*q**2 wrt q?\n' | b'60*q**2 + 6528*q\n' | b'Suppose 9*x - 31*x + 110 = 0. What is the third derivative of -4*q**5 + 3*q**5 + q**5 + q**x + 272*q**4 + 0*q**5 - 78*q**2 wrt q?\n' | b'60*q**2 + 6528*q\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 5, m: 3, s: 3, k: 3, o: 2, l: 3}. Give prob of sequence ljm.\n' | b'5/646\n' | b'Three letters picked without replacement from {j: 5, m: 3, s: 3, k: 3, o: 2, l: 3}. Give prob of sequence ljm.\n' | b'5/646\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 7, n: 2}. Give prob of picking 1 n and 3 a.\n' | b'5/9\n' | b'Four letters picked without replacement from {a: 7, n: 2}. Give prob of picking 1 n and 3 a.\n' | b'5/9\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 1 e when two letters picked without replacement from exq?\n' | b'1/3\n' | b'What is prob of picking 1 x and 1 e when two letters picked without replacement from exq?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let w(u) = 63*u + 181. Let x(b) = -33*b - 90. Let l(m) = -4*w(m) - 7*x(m). Give l(-5).\n' | b'11\n' | b'Let w(u) = 63*u + 181. Let x(b) = -33*b - 90. Let l(m) = -4*w(m) - 7*x(m). Give l(-5).\n' | b'11\n' | deepmind/math_dataset |
b'Let f = 1 - -2. Let y(u) = 0*u - u**2 + u**2 + f*u - u**2. Suppose -2*s + 12 = -0*c + c, -3*c - 8 = -5*s. What is y(s)?\n' | b'-4\n' | b'Let f = 1 - -2. Let y(u) = 0*u - u**2 + u**2 + f*u - u**2. Suppose -2*s + 12 = -0*c + c, -3*c - 8 = -5*s. What is y(s)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(y) be the third derivative of y**9/56 + y**5/20 + 2*y**2. Find the third derivative of f(u) wrt u.\n' | b'1080*u**3\n' | b'Let f(y) be the third derivative of y**9/56 + y**5/20 + 2*y**2. Find the third derivative of f(u) wrt u.\n' | b'1080*u**3\n' | deepmind/math_dataset |
b'Let g = 7029 + -7024. Solve g*v + 96*s + 17 = 97*s, -5*s = 4*v + 31 for v.\n' | b'-4\n' | b'Let g = 7029 + -7024. Solve g*v + 96*s + 17 = 97*s, -5*s = 4*v + 31 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 8, s: 2, v: 3, r: 4, z: 2}. What is prob of sequence sv?\n' | b'1/57\n' | b'Two letters picked without replacement from {t: 8, s: 2, v: 3, r: 4, z: 2}. What is prob of sequence sv?\n' | b'1/57\n' | deepmind/math_dataset |
b'Simplify ((p**(-5)/p)/p**(-7)*p/(p**(2/5)/p)*p*p/(p/p**(4/3))*p)**(-34) assuming p is positive.\n' | b'p**(-3026/15)\n' | b'Simplify ((p**(-5)/p)/p**(-7)*p/(p**(2/5)/p)*p*p/(p/p**(4/3))*p)**(-34) assuming p is positive.\n' | b'p**(-3026/15)\n' | deepmind/math_dataset |
b'Let s(i) be the third derivative of 5*i**2 + 0 + 0*i + 0*i**6 + 0*i**5 + 0*i**3 + 1/35*i**7 - 1/24*i**4. Find the second derivative of s(t) wrt t.\n' | b'72*t**2\n' | b'Let s(i) be the third derivative of 5*i**2 + 0 + 0*i + 0*i**6 + 0*i**5 + 0*i**3 + 1/35*i**7 - 1/24*i**4. Find the second derivative of s(t) wrt t.\n' | b'72*t**2\n' | deepmind/math_dataset |
b'Simplify (r**(-11/6))**(-5)*(r/r**(-3)*r)/r**(2/17) assuming r is positive.\n' | b'r**(1433/102)\n' | b'Simplify (r**(-11/6))**(-5)*(r/r**(-3)*r)/r**(2/17) assuming r is positive.\n' | b'r**(1433/102)\n' | deepmind/math_dataset |
b'Simplify ((i/((i/(i**(1/4)/i*i)*i)/i))**(-2/53)/(((i**(3/2)/i)/i)/i**(-2/11)))**(-1/27) assuming i is positive.\n' | b'i**(-20/1749)\n' | b'Simplify ((i/((i/(i**(1/4)/i*i)*i)/i))**(-2/53)/(((i**(3/2)/i)/i)/i**(-2/11)))**(-1/27) assuming i is positive.\n' | b'i**(-20/1749)\n' | deepmind/math_dataset |
b'Suppose p - 2*g = 2 + 5, 3*g + 33 = 3*p. Let t be 51/p - ((-6)/5)/(-3). Solve -1 = -b - 3*j + 7, -j - 4 = -t*b for b.\n' | b'2\n' | b'Suppose p - 2*g = 2 + 5, 3*g + 33 = 3*p. Let t be 51/p - ((-6)/5)/(-3). Solve -1 = -b - 3*j + 7, -j - 4 = -t*b for b.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 3*p = 5*n - 41, 3*p + 0*p = -5*n - 1. Let d = 12 + p. Suppose 0*j + d*m = 3*j - 18, 5*m + 11 = -4*j. Solve 0 = -3*f - 3*y + 6*y, j = 5*f - 4*y for f.\n' | b'1\n' | b'Suppose 3*p = 5*n - 41, 3*p + 0*p = -5*n - 1. Let d = 12 + p. Suppose 0*j + d*m = 3*j - 18, 5*m + 11 = -4*j. Solve 0 = -3*f - 3*y + 6*y, j = 5*f - 4*y for f.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {w: 8, d: 2, v: 4, u: 1}.\n' | b'2/105\n' | b'Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {w: 8, d: 2, v: 4, u: 1}.\n' | b'2/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oroflbblrbrbffofrlr. Give prob of sequence rlbf.\n' | b'5/1938\n' | b'Four letters picked without replacement from oroflbblrbrbffofrlr. Give prob of sequence rlbf.\n' | b'5/1938\n' | deepmind/math_dataset |
b'Let p = -153 + 155. What is the second derivative of -6 - 10 - 43*x**2 + 7*x + 22 - p wrt x?\n' | b'-86\n' | b'Let p = -153 + 155. What is the second derivative of -6 - 10 - 43*x**2 + 7*x + 22 - p wrt x?\n' | b'-86\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 z when three letters picked without replacement from apoxzpzazz.\n' | b'1/30\n' | b'Calculate prob of picking 3 z when three letters picked without replacement from apoxzpzazz.\n' | b'1/30\n' | deepmind/math_dataset |
b'Let k be (-8)/6*9/6. Let u(z) = -10*z - 46. Suppose 4*c - 84 = -40. Let v(m) = -2*m - 9. Let w(o) = c*v(o) + k*u(o). What is the derivative of w(g) wrt g?\n' | b'-2\n' | b'Let k be (-8)/6*9/6. Let u(z) = -10*z - 46. Suppose 4*c - 84 = -40. Let v(m) = -2*m - 9. Let w(o) = c*v(o) + k*u(o). What is the derivative of w(g) wrt g?\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence bs when two letters picked without replacement from bgs.\n' | b'1/6\n' | b'Calculate prob of sequence bs when two letters picked without replacement from bgs.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let l(b) = -3*b + 49. Let o be l(7). Suppose 0 = -20*m - o*m + 864. Solve 2*n = 4*c - 2*n - 16, -4*n - m = -5*c for c.\n' | b'2\n' | b'Let l(b) = -3*b + 49. Let o be l(7). Suppose 0 = -20*m - o*m + 864. Solve 2*n = 4*c - 2*n - 16, -4*n - m = -5*c for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(o) = 3*o**3 - 17*o. Let s(x) = -x**3 + 8*x. Let t be 2 + 3/3 + -6. Let a(j) = t*i(j) - 7*s(j). Find the second derivative of a(r) wrt r.\n' | b'-12*r\n' | b'Let i(o) = 3*o**3 - 17*o. Let s(x) = -x**3 + 8*x. Let t be 2 + 3/3 + -6. Let a(j) = t*i(j) - 7*s(j). Find the second derivative of a(r) wrt r.\n' | b'-12*r\n' | deepmind/math_dataset |
b'Suppose -c - x + 9 = 0, 0*c + 3 = 3*c - 3*x. Let d be (-9)/21 + (-72)/14*(-52)/78. Solve -c*b = d*f + 11 + 12, -4*f = -b for b.\n' | b'-4\n' | b'Suppose -c - x + 9 = 0, 0*c + 3 = 3*c - 3*x. Let d be (-9)/21 + (-72)/14*(-52)/78. Solve -c*b = d*f + 11 + 12, -4*f = -b for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*h - 1 = -c + 24, -2 = -2*c. Let t(m) = 3*m**2 - m + 1. Let y be t(1). Solve -r + 3*r + h = -2*p, -y = 5*p - 4*r for p.\n' | b'-3\n' | b'Suppose 2*h - 1 = -c + 24, -2 = -2*c. Let t(m) = 3*m**2 - m + 1. Let y be t(1). Solve -r + 3*r + h = -2*p, -y = 5*p - 4*r for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence jf when two letters picked without replacement from {n: 5, f: 1, g: 1, t: 4, j: 4}.\n' | b'2/105\n' | b'Calculate prob of sequence jf when two letters picked without replacement from {n: 5, f: 1, g: 1, t: 4, j: 4}.\n' | b'2/105\n' | deepmind/math_dataset |
b'Suppose -5*y + 19 = -1. Let c = y - 0. What is the first derivative of -3*x - 2 - 2*x + c*x wrt x?\n' | b'-1\n' | b'Suppose -5*y + 19 = -1. Let c = y - 0. What is the first derivative of -3*x - 2 - 2*x + c*x wrt x?\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 6*d - 2*d = 8. Let j(s) = -s**3 - s**2 + 2*s + 2. Let z be j(-1). Solve z = d*b + 3*b + 5*r + 5, 4*r - 11 = -b for b.\n' | b'-5\n' | b'Suppose 6*d - 2*d = 8. Let j(s) = -s**3 - s**2 + 2*s + 2. Let z be j(-1). Solve z = d*b + 3*b + 5*r + 5, 4*r - 11 = -b for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 c, and 1 j when three letters picked without replacement from rwrwbffjrrcj.\n' | b'1/55\n' | b'Calculate prob of picking 1 f, 1 c, and 1 j when three letters picked without replacement from rwrwbffjrrcj.\n' | b'1/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uuuuuruuuuuuuuuuuru.\n' | b'34/171\n' | b'Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uuuuuruuuuuuuuuuuru.\n' | b'34/171\n' | deepmind/math_dataset |
b'Suppose -3*l = 9*l - 24. Let s(n) = -6 - 2*n**l + n**2 - 6*n + 2*n**2 + n. Let v be 1/((-6)/(-15))*2. Calculate s(v).\n' | b'-6\n' | b'Suppose -3*l = 9*l - 24. Let s(n) = -6 - 2*n**l + n**2 - 6*n + 2*n**2 + n. Let v be 1/((-6)/(-15))*2. Calculate s(v).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -203 = -36*g + 13. What is the third derivative of 6*f**4 - 113*f**2 + 53*f**5 - g*f**4 + 0*f**4 wrt f?\n' | b'3180*f**2\n' | b'Suppose -203 = -36*g + 13. What is the third derivative of 6*f**4 - 113*f**2 + 53*f**5 - g*f**4 + 0*f**4 wrt f?\n' | b'3180*f**2\n' | deepmind/math_dataset |
b'What is prob of sequence xadd when four letters picked without replacement from {t: 1, q: 7, x: 1, o: 4, a: 3, d: 2}?\n' | b'1/12240\n' | b'What is prob of sequence xadd when four letters picked without replacement from {t: 1, q: 7, x: 1, o: 4, a: 3, d: 2}?\n' | b'1/12240\n' | deepmind/math_dataset |
b'Suppose -6*s = -28*s + 10230. Let u = 458 - s. Let t(c) = -c**3 - 9*c**2 - 14*c + 10. What is t(u)?\n' | b'10\n' | b'Suppose -6*s = -28*s + 10230. Let u = 458 - s. Let t(c) = -c**3 - 9*c**2 - 14*c + 10. What is t(u)?\n' | b'10\n' | deepmind/math_dataset |
b'Simplify r/(r**(1/4)/r)*r/(r/(r**(2/93)*r)) assuming r is positive.\n' | b'r**(1031/372)\n' | b'Simplify r/(r**(1/4)/r)*r/(r/(r**(2/93)*r)) assuming r is positive.\n' | b'r**(1031/372)\n' | deepmind/math_dataset |
b'Simplify t**(-7)*t**(-2/13) assuming t is positive.\n' | b't**(-93/13)\n' | b'Simplify t**(-7)*t**(-2/13) assuming t is positive.\n' | b't**(-93/13)\n' | deepmind/math_dataset |
b'Calculate prob of sequence hhf when three letters picked without replacement from {d: 5, f: 1, u: 2, h: 1}.\n' | b'0\n' | b'Calculate prob of sequence hhf when three letters picked without replacement from {d: 5, f: 1, u: 2, h: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Let l be (-2)/8 + (-45)/(-4) - 5. Solve -23 = -g + l*g - 4*b, 5*b - 13 = g for g.\n' | b'-3\n' | b'Let l be (-2)/8 + (-45)/(-4) - 5. Solve -23 = -g + l*g - 4*b, 5*b - 13 = g for g.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k(v) = -9*v**3 - 5*v - 7. Let b(q) = q - 1. Let o(x) = 5*b(x) + k(x). Differentiate o(z) with respect to z.\n' | b'-27*z**2\n' | b'Let k(v) = -9*v**3 - 5*v - 7. Let b(q) = q - 1. Let o(x) = 5*b(x) + k(x). Differentiate o(z) with respect to z.\n' | b'-27*z**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddydyddyyy. What is prob of sequence yy?\n' | b'2/9\n' | b'Two letters picked without replacement from ddydyddyyy. What is prob of sequence yy?\n' | b'2/9\n' | deepmind/math_dataset |
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