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'Calculate prob of sequence ukui when four letters picked without replacement from {u: 6, i: 5, k: 4}.\n' | b'5/273\n' | b'Calculate prob of sequence ukui when four letters picked without replacement from {u: 6, i: 5, k: 4}.\n' | b'5/273\n' | deepmind/math_dataset |
b'Let s(l) be the third derivative of 89*l**5/4 + 1091*l**4/8 - 3468*l**2 + 2*l. Find the second derivative of s(d) wrt d.\n' | b'2670\n' | b'Let s(l) be the third derivative of 89*l**5/4 + 1091*l**4/8 - 3468*l**2 + 2*l. Find the second derivative of s(d) wrt d.\n' | b'2670\n' | deepmind/math_dataset |
b'Let c(x) be the first derivative of -x**2/2 - 10*x + 5. Give c(-7).\n' | b'-3\n' | b'Let c(x) be the first derivative of -x**2/2 - 10*x + 5. Give c(-7).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify i**10*i*i**(-13/7) assuming i is positive.\n' | b'i**(64/7)\n' | b'Simplify i**10*i*i**(-13/7) assuming i is positive.\n' | b'i**(64/7)\n' | deepmind/math_dataset |
b'Let u be (-38)/(-8) + (-2)/(-8). Solve -u*n = -3*b - 2*n, -4*b = -2*n - 6 for b.\n' | b'3\n' | b'Let u be (-38)/(-8) + (-2)/(-8). Solve -u*n = -3*b - 2*n, -4*b = -2*n - 6 for b.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence xg when two letters picked without replacement from {w: 6, g: 2, a: 2, l: 1, x: 3}?\n' | b'3/91\n' | b'What is prob of sequence xg when two letters picked without replacement from {w: 6, g: 2, a: 2, l: 1, x: 3}?\n' | b'3/91\n' | deepmind/math_dataset |
b'Suppose -17 = r - 20. Solve z - r*z + 3 = -3*q, -4*q = -2*z + 2 for z.\n' | b'3\n' | b'Suppose -17 = r - 20. Solve z - r*z + 3 = -3*q, -4*q = -2*z + 2 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 15, e: 3}. Give prob of picking 3 z.\n' | b'455/816\n' | b'Three letters picked without replacement from {z: 15, e: 3}. Give prob of picking 3 z.\n' | b'455/816\n' | deepmind/math_dataset |
b'Suppose 3*x = q + 59, -7*x + 2*x + 75 = 3*q. Suppose 23*p - 25 = x*p. Solve 3*k = 5*z - 11, 0*z + 3*z + 3 = p*k for z.\n' | b'4\n' | b'Suppose 3*x = q + 59, -7*x + 2*x + 75 = 3*q. Suppose 23*p - 25 = x*p. Solve 3*k = 5*z - 11, 0*z + 3*z + 3 = p*k for z.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence ll when two letters picked without replacement from llircicr?\n' | b'1/28\n' | b'What is prob of sequence ll when two letters picked without replacement from llircicr?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify ((c**(-2/11)/c**(-1))**34)**(4/3) assuming c is positive.\n' | b'c**(408/11)\n' | b'Simplify ((c**(-2/11)/c**(-1))**34)**(4/3) assuming c is positive.\n' | b'c**(408/11)\n' | deepmind/math_dataset |
b'Suppose -33 = -5*b - 8. Suppose b*m + 45 = 8*m. Solve 0 = -f - 3*x - 5, 5*f + 3*x + 2*x + m = 0 for f.\n' | b'-2\n' | b'Suppose -33 = -5*b - 8. Suppose b*m + 45 = 8*m. Solve 0 = -f - 3*x - 5, 5*f + 3*x + 2*x + m = 0 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 6 = u + 2. Suppose 20 - u = 4*w. Solve w*p - p = -2*s + 14, 3*s + 13 = 4*p for p.\n' | b'4\n' | b'Suppose 6 = u + 2. Suppose 20 - u = 4*w. Solve w*p - p = -2*s + 14, 3*s + 13 = 4*p for p.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from haaedddiaevhh. What is prob of picking 3 a and 1 h?\n' | b'3/715\n' | b'Four letters picked without replacement from haaedddiaevhh. What is prob of picking 3 a and 1 h?\n' | b'3/715\n' | deepmind/math_dataset |
b'Let y(v) be the first derivative of 0*v**4 + 0*v + 0*v**2 + 0*v**6 + 4 + 0*v**5 - 5/3*v**3 + 9/7*v**7. Find the third derivative of y(w) wrt w.\n' | b'1080*w**3\n' | b'Let y(v) be the first derivative of 0*v**4 + 0*v + 0*v**2 + 0*v**6 + 4 + 0*v**5 - 5/3*v**3 + 9/7*v**7. Find the third derivative of y(w) wrt w.\n' | b'1080*w**3\n' | deepmind/math_dataset |
b'Simplify k**(-1/21)/k**(-1/2)*(k/(k/k**(-19))*k*k)/k**5 assuming k is positive.\n' | b'k**(-905/42)\n' | b'Simplify k**(-1/21)/k**(-1/2)*(k/(k/k**(-19))*k*k)/k**5 assuming k is positive.\n' | b'k**(-905/42)\n' | deepmind/math_dataset |
b'Calculate prob of sequence cxc when three letters picked without replacement from fxcfssssffozcff.\n' | b'1/1365\n' | b'Calculate prob of sequence cxc when three letters picked without replacement from fxcfssssffozcff.\n' | b'1/1365\n' | deepmind/math_dataset |
b'Let r(s) be the second derivative of -13*s**6/30 - 4*s**4/3 - 13*s. What is the third derivative of r(n) wrt n?\n' | b'-312*n\n' | b'Let r(s) be the second derivative of -13*s**6/30 - 4*s**4/3 - 13*s. What is the third derivative of r(n) wrt n?\n' | b'-312*n\n' | deepmind/math_dataset |
b'Suppose x - 6 + 5 = 0. Let d be (-3 - -16)*x - 3. Suppose 7*i - d*i = 0. Solve 8 = 3*z + n, i = 2*z + z + 3*n - 18 for z.\n' | b'1\n' | b'Suppose x - 6 + 5 = 0. Let d be (-3 - -16)*x - 3. Suppose 7*i - d*i = 0. Solve 8 = 3*z + n, i = 2*z + z + 3*n - 18 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Find the first derivative of -350 - 1722*i**3 + 411*i**3 - 474 wrt i.\n' | b'-3933*i**2\n' | b'Find the first derivative of -350 - 1722*i**3 + 411*i**3 - 474 wrt i.\n' | b'-3933*i**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 o when two letters picked without replacement from iiiiioiiiiiiiiiiiiii?\n' | b'1/10\n' | b'What is prob of picking 1 i and 1 o when two letters picked without replacement from iiiiioiiiiiiiiiiiiii?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (q**(-6)*q**(-8)*q*(q*q/(q*(q**(1/12)/q)/q))/(q/(q**(3/10)*q*q)))/((q**5*q*q**(1/4))/(q/q**2*q/q**(-2/7))) assuming q is positive.\n' | b'q**(-3097/210)\n' | b'Simplify (q**(-6)*q**(-8)*q*(q*q/(q*(q**(1/12)/q)/q))/(q/(q**(3/10)*q*q)))/((q**5*q*q**(1/4))/(q/q**2*q/q**(-2/7))) assuming q is positive.\n' | b'q**(-3097/210)\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 2 r, and 1 t when four letters picked without replacement from {g: 1, t: 1, r: 2, k: 2, b: 1}?\n' | b'1/35\n' | b'What is prob of picking 1 g, 2 r, and 1 t when four letters picked without replacement from {g: 1, t: 1, r: 2, k: 2, b: 1}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 2*a - 2 = -4*i + 5*i, 4*i = -a + 19. Solve 5*k - q - 5 = -5*q, a*q = 0 for k.\n' | b'1\n' | b'Suppose 2*a - 2 = -4*i + 5*i, 4*i = -a + 19. Solve 5*k - q - 5 = -5*q, a*q = 0 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Let o be (((-65)/(-3))/(-5) - -4)*-12. Solve -o*h = 6*m - 2*m - 8, -8 = -4*m + 3*h for m.\n' | b'2\n' | b'Let o be (((-65)/(-3))/(-5) - -4)*-12. Solve -o*h = 6*m - 2*m - 8, -8 = -4*m + 3*h for m.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 9, t: 3, a: 7}.\n' | b'3/19\n' | b'Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 9, t: 3, a: 7}.\n' | b'3/19\n' | deepmind/math_dataset |
b'Calculate prob of sequence ln when two letters picked without replacement from {d: 1, n: 2, l: 4, e: 1}.\n' | b'1/7\n' | b'Calculate prob of sequence ln when two letters picked without replacement from {d: 1, n: 2, l: 4, e: 1}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 c and 1 k when four letters picked without replacement from {c: 15, k: 4}.\n' | b'455/969\n' | b'Calculate prob of picking 3 c and 1 k when four letters picked without replacement from {c: 15, k: 4}.\n' | b'455/969\n' | deepmind/math_dataset |
b'Suppose 0*m = -5*m + 20. Let g(n) = n**3 - 4*n**2 + 2*n - 3. Calculate g(m).\n' | b'5\n' | b'Suppose 0*m = -5*m + 20. Let g(n) = n**3 - 4*n**2 + 2*n - 3. Calculate g(m).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence mm when two letters picked without replacement from myyaymmmymamym.\n' | b'3/13\n' | b'Calculate prob of sequence mm when two letters picked without replacement from myyaymmmymamym.\n' | b'3/13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3, e: 1, i: 1}. What is prob of sequence mme?\n' | b'1/10\n' | b'Three letters picked without replacement from {m: 3, e: 1, i: 1}. What is prob of sequence mme?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -8*n = -2*n. Let o(z) be the first derivative of -2/3*z**3 + n*z**2 - 4 - 1/4*z**4 + 0*z. What is the third derivative of o(m) wrt m?\n' | b'-6\n' | b'Suppose -8*n = -2*n. Let o(z) be the first derivative of -2/3*z**3 + n*z**2 - 4 - 1/4*z**4 + 0*z. What is the third derivative of o(m) wrt m?\n' | b'-6\n' | deepmind/math_dataset |
b'Let t(v) = 6*v + 12. Let m(w) = 4*w - 2. Let h(r) = 11*r - 5. Let p(y) = -3*h(y) + 8*m(y). Let n(j) = 9*p(j) + t(j). Determine n(3).\n' | b'-6\n' | b'Let t(v) = 6*v + 12. Let m(w) = 4*w - 2. Let h(r) = 11*r - 5. Let p(y) = -3*h(y) + 8*m(y). Let n(j) = 9*p(j) + t(j). Determine n(3).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 10}. Give prob of picking 4 x.\n' | b'1\n' | b'Four letters picked without replacement from {x: 10}. Give prob of picking 4 x.\n' | b'1\n' | deepmind/math_dataset |
b'Let y = 7392 - 7383. Let r(b) = b**2 - 7*b. Calculate r(y).\n' | b'18\n' | b'Let y = 7392 - 7383. Let r(b) = b**2 - 7*b. Calculate r(y).\n' | b'18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jgfffrygfyg. What is prob of picking 2 y and 1 j?\n' | b'1/165\n' | b'Three letters picked without replacement from jgfffrygfyg. What is prob of picking 2 y and 1 j?\n' | b'1/165\n' | deepmind/math_dataset |
b'Let u(q) = q**3 - 3*q**2 + 2*q - 4. Let z(t) be the second derivative of t**3/6 - t**2 + t. Let x be z(5). Determine u(x).\n' | b'2\n' | b'Let u(q) = q**3 - 3*q**2 + 2*q - 4. Let z(t) be the second derivative of t**3/6 - t**2 + t. Let x be z(5). Determine u(x).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 3 c when three letters picked without replacement from ccct?\n' | b'1/4\n' | b'What is prob of picking 3 c when three letters picked without replacement from ccct?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let a be (1 - -94)*(-2)/(-5)*1. What is the second derivative of 13*b - a*b - 25*b + 62*b**2 - 19*b**2 wrt b?\n' | b'86\n' | b'Let a be (1 - -94)*(-2)/(-5)*1. What is the second derivative of 13*b - a*b - 25*b + 62*b**2 - 19*b**2 wrt b?\n' | b'86\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 3, o: 3, j: 5}. Give prob of sequence ojjg.\n' | b'1/44\n' | b'Four letters picked without replacement from {g: 3, o: 3, j: 5}. Give prob of sequence ojjg.\n' | b'1/44\n' | deepmind/math_dataset |
b'Let v(j) = -j + 1. Let w be v(-2). Suppose -b = -3*q - 4, -5*b - 5*q + w*q = -3. Solve -2*n - 8 = -2*g, -g - b = -5*n - 5 for g.\n' | b'4\n' | b'Let v(j) = -j + 1. Let w be v(-2). Suppose -b = -3*q - 4, -5*b - 5*q + w*q = -3. Solve -2*n - 8 = -2*g, -g - b = -5*n - 5 for g.\n' | b'4\n' | deepmind/math_dataset |
b'Let d(u) = 2*u**2 + 1. Let i(l) = -l**2 + 7*l + 2. Let w be i(7). Let t be d(w). Let b be 48/t - (-4)/6. Solve 2*k + 10 = -4*m, -k = -b*k + 25 for m.\n' | b'-5\n' | b'Let d(u) = 2*u**2 + 1. Let i(l) = -l**2 + 7*l + 2. Let w be i(7). Let t be d(w). Let b be 48/t - (-4)/6. Solve 2*k + 10 = -4*m, -k = -b*k + 25 for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jbbbc. Give prob of picking 1 c, 1 j, and 2 b.\n' | b'3/5\n' | b'Four letters picked without replacement from jbbbc. Give prob of picking 1 c, 1 j, and 2 b.\n' | b'3/5\n' | deepmind/math_dataset |
b'Simplify (c**6*c**(1/7)/c*c**(-6)/(c/(c/((c/(c/c**2)*c)/c))))/(((c**(-1/4)/c)/c)/c**(-4/3))**(-41) assuming c is positive.\n' | b'c**(-3397/84)\n' | b'Simplify (c**6*c**(1/7)/c*c**(-6)/(c/(c/((c/(c/c**2)*c)/c))))/(((c**(-1/4)/c)/c)/c**(-4/3))**(-41) assuming c is positive.\n' | b'c**(-3397/84)\n' | deepmind/math_dataset |
b'Suppose 3*x - 2*x = 2*x. Suppose x = -30*r + 25*r + 15. Differentiate 3*d**3 - 1 + 14*d**r + 20 - 6*d**3 wrt d.\n' | b'33*d**2\n' | b'Suppose 3*x - 2*x = 2*x. Suppose x = -30*r + 25*r + 15. Differentiate 3*d**3 - 1 + 14*d**r + 20 - 6*d**3 wrt d.\n' | b'33*d**2\n' | deepmind/math_dataset |
b'Suppose -3*n = 4*w - 105, 5*n + 8*w = 3*w + 175. Solve -5*b + n = -2*c, -3*b - 5*c - 3 - 7 = 0 for b.\n' | b'5\n' | b'Suppose -3*n = 4*w - 105, 5*n + 8*w = 3*w + 175. Solve -5*b + n = -2*c, -3*b - 5*c - 3 - 7 = 0 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 2, b: 10, x: 2, z: 1, a: 1}. What is prob of sequence zbxx?\n' | b'1/2184\n' | b'Four letters picked without replacement from {q: 2, b: 10, x: 2, z: 1, a: 1}. What is prob of sequence zbxx?\n' | b'1/2184\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 2, l: 7}. What is prob of sequence llll?\n' | b'5/18\n' | b'Four letters picked without replacement from {t: 2, l: 7}. What is prob of sequence llll?\n' | b'5/18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 1, b: 2, y: 1, k: 2}.\n' | b'2/15\n' | b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 1, b: 2, y: 1, k: 2}.\n' | b'2/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {s: 3, w: 2}.\n' | b'1/10\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {s: 3, w: 2}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let g(d) = d**2 - 2*d - 1. Let a be g(2). Let n be 2/1 + (-1 - a). Let m = 190 - 189. Solve c + 3*c + n*u = -14, -c = 2*u - m for c.\n' | b'-5\n' | b'Let g(d) = d**2 - 2*d - 1. Let a be g(2). Let n be 2/1 + (-1 - a). Let m = 190 - 189. Solve c + 3*c + n*u = -14, -c = 2*u - m for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -3*s - 10 = -4*s. Solve -3*u + 7*h = 3*h + 19, s = -3*u - 5*h for u.\n' | b'-5\n' | b'Suppose -3*s - 10 = -4*s. Solve -3*u + 7*h = 3*h + 19, s = -3*u - 5*h for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (o**3/((o/(o/(o*o**(3/8))))/o))/(o**(2/3))**(-3/8) assuming o is positive.\n' | b'o**(23/8)\n' | b'Simplify (o**3/((o/(o/(o*o**(3/8))))/o))/(o**(2/3))**(-3/8) assuming o is positive.\n' | b'o**(23/8)\n' | deepmind/math_dataset |
b'Let t(r) = -r - 6. Let w be t(-6). Suppose w*m - 3*m = 6. Let z be 4 - 9/(-2)*m. Let o(a) = -3*a + 2. Calculate o(z).\n' | b'17\n' | b'Let t(r) = -r - 6. Let w be t(-6). Suppose w*m - 3*m = 6. Let z be 4 - 9/(-2)*m. Let o(a) = -3*a + 2. Calculate o(z).\n' | b'17\n' | deepmind/math_dataset |
b'Let j(m) be the first derivative of -3383*m**4/4 + 94*m**3 - 2*m + 3460. What is the third derivative of j(l) wrt l?\n' | b'-20298\n' | b'Let j(m) be the first derivative of -3383*m**4/4 + 94*m**3 - 2*m + 3460. What is the third derivative of j(l) wrt l?\n' | b'-20298\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrrrbbbrrrrbrbrbbbbb. Give prob of picking 2 r and 1 b.\n' | b'15/38\n' | b'Three letters picked without replacement from rrrrbbbrrrrbrbrbbbbb. Give prob of picking 2 r and 1 b.\n' | b'15/38\n' | deepmind/math_dataset |
b'What is prob of picking 1 d, 1 n, and 1 h when three letters picked without replacement from hhnd?\n' | b'1/2\n' | b'What is prob of picking 1 d, 1 n, and 1 h when three letters picked without replacement from hhnd?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let l(t) be the third derivative of t**7/105 - 17*t**5/60 - 251*t**4/8 + 1948*t**2. What is the second derivative of l(f) wrt f?\n' | b'24*f**2 - 34\n' | b'Let l(t) be the third derivative of t**7/105 - 17*t**5/60 - 251*t**4/8 + 1948*t**2. What is the second derivative of l(f) wrt f?\n' | b'24*f**2 - 34\n' | deepmind/math_dataset |
b'Let m(i) be the second derivative of i**4/4 + 5*i**3/6 + i**2/2 - 7*i. Let f be m(-2). Find the second derivative of 3*d**f + 5*d + 3*d**3 + 2*d + d**3 wrt d.\n' | b'42*d\n' | b'Let m(i) be the second derivative of i**4/4 + 5*i**3/6 + i**2/2 - 7*i. Let f be m(-2). Find the second derivative of 3*d**f + 5*d + 3*d**3 + 2*d + d**3 wrt d.\n' | b'42*d\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lglglggg. What is prob of picking 2 g and 1 l?\n' | b'15/28\n' | b'Three letters picked without replacement from lglglggg. What is prob of picking 2 g and 1 l?\n' | b'15/28\n' | deepmind/math_dataset |
b'Let a be 7/1*54/21. Solve -2*o + 3*h = -o + 13, 4*h - a = o for o.\n' | b'2\n' | b'Let a be 7/1*54/21. Solve -2*o + 3*h = -o + 13, 4*h - a = o for o.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((k**0)**(-9/4))**(3/14) assuming k is positive.\n' | b'1\n' | b'Simplify ((k**0)**(-9/4))**(3/14) assuming k is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -3*w = -8*w. Let u(a) = 373*a + 358*a + 2 - 733*a. What is u(w)?\n' | b'2\n' | b'Suppose -3*w = -8*w. Let u(a) = 373*a + 358*a + 2 - 733*a. What is u(w)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify f**(-1/7)*(f*f**(-1/2))/f*(f**(-3))**(-2/9) assuming f is positive.\n' | b'f**(1/42)\n' | b'Simplify f**(-1/7)*(f*f**(-1/2))/f*(f**(-3))**(-2/9) assuming f is positive.\n' | b'f**(1/42)\n' | deepmind/math_dataset |
b'Let m be (-8)/2*5/(-10). Suppose o = 5*o - 8. Differentiate 3*r**2 + o - r**2 + 1 - 3*r**m with respect to r.\n' | b'-2*r\n' | b'Let m be (-8)/2*5/(-10). Suppose o = 5*o - 8. Differentiate 3*r**2 + o - r**2 + 1 - 3*r**m with respect to r.\n' | b'-2*r\n' | deepmind/math_dataset |
b'What is prob of sequence sss when three letters picked without replacement from {s: 3, w: 2}?\n' | b'1/10\n' | b'What is prob of sequence sss when three letters picked without replacement from {s: 3, w: 2}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let h(m) = -m**2 + 20*m + 70. Let j be h(22). Find the third derivative of 19*k**2 + j*k**5 - 57*k**2 + 14*k**5 wrt k.\n' | b'2400*k**2\n' | b'Let h(m) = -m**2 + 20*m + 70. Let j be h(22). Find the third derivative of 19*k**2 + j*k**5 - 57*k**2 + 14*k**5 wrt k.\n' | b'2400*k**2\n' | deepmind/math_dataset |
b'Let x be 3/9*(-2 + 29). Let r be 4*((-135)/(-12))/x. Solve b = -b - 4*p + 6, 2*p + 9 = -r*b for b.\n' | b'-3\n' | b'Let x be 3/9*(-2 + 29). Let r be 4*((-135)/(-12))/x. Solve b = -b - 4*p + 6, 2*p + 9 = -r*b for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 5, p: 2, k: 3, m: 3, b: 1, x: 1}. What is prob of picking 1 p and 1 w?\n' | b'2/21\n' | b'Two letters picked without replacement from {w: 5, p: 2, k: 3, m: 3, b: 1, x: 1}. What is prob of picking 1 p and 1 w?\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify (a**(-22/5))**34 assuming a is positive.\n' | b'a**(-748/5)\n' | b'Simplify (a**(-22/5))**34 assuming a is positive.\n' | b'a**(-748/5)\n' | deepmind/math_dataset |
b'Let v(t) = -t**3 + 5*t**2 - 3*t - 4. Let j be (2 - (0 + 0))*1. Suppose 4 = j*w - 4. Give v(w).\n' | b'0\n' | b'Let v(t) = -t**3 + 5*t**2 - 3*t - 4. Let j be (2 - (0 + 0))*1. Suppose 4 = j*w - 4. Give v(w).\n' | b'0\n' | deepmind/math_dataset |
b'Let r(b) = 5*b. Suppose 4*x - 4 = 3*n, -2*x + 16 + 0 = 2*n. Let p be ((-8)/16)/((-2)/n). Calculate r(p).\n' | b'5\n' | b'Let r(b) = 5*b. Suppose 4*x - 4 = 3*n, -2*x + 16 + 0 = 2*n. Let p be ((-8)/16)/((-2)/n). Calculate r(p).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ggg when three letters picked without replacement from ggggggg.\n' | b'1\n' | b'Calculate prob of sequence ggg when three letters picked without replacement from ggggggg.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnn when three letters picked without replacement from ndndnnddndnd.\n' | b'1/11\n' | b'Calculate prob of sequence nnn when three letters picked without replacement from ndndnnddndnd.\n' | b'1/11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from egfeeggevffewvv. What is prob of sequence vef?\n' | b'3/182\n' | b'Three letters picked without replacement from egfeeggevffewvv. What is prob of sequence vef?\n' | b'3/182\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 w when two letters picked without replacement from wwuwuwuwuwuwuu?\n' | b'7/13\n' | b'What is prob of picking 1 u and 1 w when two letters picked without replacement from wwuwuwuwuwuwuu?\n' | b'7/13\n' | deepmind/math_dataset |
b'Calculate prob of sequence ss when two letters picked without replacement from vvzsvwjffvjzws.\n' | b'1/91\n' | b'Calculate prob of sequence ss when two letters picked without replacement from vvzsvwjffvjzws.\n' | b'1/91\n' | deepmind/math_dataset |
b'Let i(n) = -5 + 0*n**2 - n**2 - 3*n**2. Let m(s) = -5*s**2 + s - 6. Let j(t) = -4*i(t) + 3*m(t). Give j(-2).\n' | b'0\n' | b'Let i(n) = -5 + 0*n**2 - n**2 - 3*n**2. Let m(s) = -5*s**2 + s - 6. Let j(t) = -4*i(t) + 3*m(t). Give j(-2).\n' | b'0\n' | deepmind/math_dataset |
b'Let v = 13 + -5. Solve -2*x + 4*u - v = -3*x, -5*x + 2*u + 18 = 0 for x.\n' | b'4\n' | b'Let v = 13 + -5. Solve -2*x + 4*u - v = -3*x, -5*x + 2*u + 18 = 0 for x.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oooooo. What is prob of picking 3 o?\n' | b'1\n' | b'Three letters picked without replacement from oooooo. What is prob of picking 3 o?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 u, 1 k, and 1 q when four letters picked without replacement from {t: 1, k: 3, a: 4, q: 4, u: 4, e: 1}?\n' | b'18/595\n' | b'What is prob of picking 2 u, 1 k, and 1 q when four letters picked without replacement from {t: 1, k: 3, a: 4, q: 4, u: 4, e: 1}?\n' | b'18/595\n' | deepmind/math_dataset |
b'What is prob of sequence or when two letters picked without replacement from {t: 7, o: 2, r: 5}?\n' | b'5/91\n' | b'What is prob of sequence or when two letters picked without replacement from {t: 7, o: 2, r: 5}?\n' | b'5/91\n' | deepmind/math_dataset |
b'Suppose g - 7*g - 66 = 0. Suppose c - 2*o = -23, -3*o + 2 = c - 0*o. Let t = g - c. Solve -3*z + 2*x - 15 - 1 = 0, t*z - 5*x + 18 = 0 for z.\n' | b'-4\n' | b'Suppose g - 7*g - 66 = 0. Suppose c - 2*o = -23, -3*o + 2 = c - 0*o. Let t = g - c. Solve -3*z + 2*x - 15 - 1 = 0, t*z - 5*x + 18 = 0 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let b = -13 - -22. Let f = -9 + b. Suppose 286 = 27*a + 43. Solve f = v + 3*d - 9, -v + d = a - 2 for v.\n' | b'-3\n' | b'Let b = -13 - -22. Let f = -9 + b. Suppose 286 = 27*a + 43. Solve f = v + 3*d - 9, -v + d = a - 2 for v.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence haa when three letters picked without replacement from hhtthhhhthhitaitthah?\n' | b'1/342\n' | b'What is prob of sequence haa when three letters picked without replacement from hhtthhhhthhitaitthah?\n' | b'1/342\n' | deepmind/math_dataset |
b'What is the third derivative of -1008*i**2 - 70*i**3 - 796*i**2 - 674*i**3 + 1142*i**3 + 2502*i**3 wrt i?\n' | b'17400\n' | b'What is the third derivative of -1008*i**2 - 70*i**3 - 796*i**2 - 674*i**3 + 1142*i**3 + 2502*i**3 wrt i?\n' | b'17400\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dddddddg. What is prob of picking 3 d?\n' | b'5/8\n' | b'Three letters picked without replacement from dddddddg. What is prob of picking 3 d?\n' | b'5/8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a, 1 p, and 2 t when four letters picked without replacement from {d: 2, x: 1, t: 1, a: 1, o: 2, p: 1}.\n' | b'0\n' | b'Calculate prob of picking 1 a, 1 p, and 2 t when four letters picked without replacement from {d: 2, x: 1, t: 1, a: 1, o: 2, p: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oonoononnnononoooonn. Give prob of sequence on.\n' | b'99/380\n' | b'Two letters picked without replacement from oonoononnnononoooonn. Give prob of sequence on.\n' | b'99/380\n' | deepmind/math_dataset |
b'Suppose 3*a + 3 = -5*b + 3*b, -a = 2*b + 9. Let q(m) = -m**3 - 5*m**2 + 5*m - 2. Let s be q(b). Solve -6*l = -2*w - 2*l + s, 4*l = -w - 4 for w.\n' | b'0\n' | b'Suppose 3*a + 3 = -5*b + 3*b, -a = 2*b + 9. Let q(m) = -m**3 - 5*m**2 + 5*m - 2. Let s be q(b). Solve -6*l = -2*w - 2*l + s, 4*l = -w - 4 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(q) = -q**3 + 2*q**2. Let n be r(2). Let f(x) = -9*x - 149. Let c be f(-40). Suppose 88 - c = -41*w. Solve i - w = -v - 0*i, 4*v + i = n for v.\n' | b'-1\n' | b'Let r(q) = -q**3 + 2*q**2. Let n be r(2). Let f(x) = -9*x - 149. Let c be f(-40). Suppose 88 - c = -41*w. Solve i - w = -v - 0*i, 4*v + i = n for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Let j be 16/(-14) - 6/(-42). Let o be (j/(-2))/((-1)/2). Let u(y) be the second derivative of -7*y**5/5 - y**2/2 - 17*y. Give u(o).\n' | b'27\n' | b'Let j be 16/(-14) - 6/(-42). Let o be (j/(-2))/((-1)/2). Let u(y) be the second derivative of -7*y**5/5 - y**2/2 - 17*y. Give u(o).\n' | b'27\n' | deepmind/math_dataset |
b'Let v = -9 + 3. Let z(u) = 16*u - 4 + 6*u + 5*u**2 - 29*u - 4*u**3 + 5*u**3. What is z(v)?\n' | b'2\n' | b'Let v = -9 + 3. Let z(u) = 16*u - 4 + 6*u + 5*u**2 - 29*u - 4*u**3 + 5*u**3. What is z(v)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify k/(k**10/k)*k/(k/k**(-4/13))*(k*k**(-2)*k)/(k**(-2/3)/k) assuming k is positive.\n' | b'k**(-259/39)\n' | b'Simplify k/(k**10/k)*k/(k/k**(-4/13))*(k*k**(-2)*k)/(k**(-2/3)/k) assuming k is positive.\n' | b'k**(-259/39)\n' | deepmind/math_dataset |
b'What is prob of sequence rrrr when four letters picked without replacement from {j: 8, r: 5, p: 3}?\n' | b'1/364\n' | b'What is prob of sequence rrrr when four letters picked without replacement from {j: 8, r: 5, p: 3}?\n' | b'1/364\n' | deepmind/math_dataset |
b'Suppose 8*q = 13*q - 20. Suppose q*y - 15 = -y - 4*d, -d = 0. Differentiate 4 - o**4 + y - 3*o**4 with respect to o.\n' | b'-16*o**3\n' | b'Suppose 8*q = 13*q - 20. Suppose q*y - 15 = -y - 4*d, -d = 0. Differentiate 4 - o**4 + y - 3*o**4 with respect to o.\n' | b'-16*o**3\n' | deepmind/math_dataset |
b'Simplify (r**(-5)/(r/(r/(r*r/(r*r/(r**(10/9)*r)*r)))))/(r*r*r/((r/r**(2/51))/r)*r**(1/7)) assuming r is positive.\n' | b'r**(-9953/1071)\n' | b'Simplify (r**(-5)/(r/(r/(r*r/(r*r/(r**(10/9)*r)*r)))))/(r*r*r/((r/r**(2/51))/r)*r**(1/7)) assuming r is positive.\n' | b'r**(-9953/1071)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 9, x: 3, s: 1, y: 1}. What is prob of picking 1 s and 1 y?\n' | b'1/91\n' | b'Two letters picked without replacement from {n: 9, x: 3, s: 1, y: 1}. What is prob of picking 1 s and 1 y?\n' | b'1/91\n' | deepmind/math_dataset |
b'Suppose b = 2*b + 5, 0 = 4*n + 2*b + 2. Find the third derivative of c**2 - n*c**5 + 3*c**2 - 6*c**2 + 4*c**5 wrt c.\n' | b'120*c**2\n' | b'Suppose b = 2*b + 5, 0 = 4*n + 2*b + 2. Find the third derivative of c**2 - n*c**5 + 3*c**2 - 6*c**2 + 4*c**5 wrt c.\n' | b'120*c**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence tc when two letters picked without replacement from {c: 3, t: 11}.\n' | b'33/182\n' | b'Calculate prob of sequence tc when two letters picked without replacement from {c: 3, t: 11}.\n' | b'33/182\n' | deepmind/math_dataset |
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