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'Simplify (z*z**(1/18)/z*z)/z**(-1/2)*(z**(-15)/z)/(z/(z*z**8)) assuming z is positive.\n' | b'z**(-58/9)\n' | b'Simplify (z*z**(1/18)/z*z)/z**(-1/2)*(z**(-15)/z)/(z/(z*z**8)) assuming z is positive.\n' | b'z**(-58/9)\n' | deepmind/math_dataset |
b'Simplify ((w**(1/3)*w/(w**(-2/5)/w))/(w**(-4/9)*(w**(-2/3)/w)/w*w))/(w**7/(w/w**(-6/11)))**(-25) assuming w is positive.\n' | b'w**(69898/495)\n' | b'Simplify ((w**(1/3)*w/(w**(-2/5)/w))/(w**(-4/9)*(w**(-2/3)/w)/w*w))/(w**7/(w/w**(-6/11)))**(-25) assuming w is positive.\n' | b'w**(69898/495)\n' | deepmind/math_dataset |
b'Let m = -20779/30 - -3464/5. Let a(t) be the third derivative of m*t**3 - 1/24*t**4 + 5*t**2 + 0*t + 0. Give a(-1).\n' | b'2\n' | b'Let m = -20779/30 - -3464/5. Let a(t) be the third derivative of m*t**3 - 1/24*t**4 + 5*t**2 + 0*t + 0. Give a(-1).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -2*o + 8 = 2*o. Suppose -z - 3 = o*z. Let m(n) = n - 1. What is m(z)?\n' | b'-2\n' | b'Suppose -2*o + 8 = 2*o. Suppose -z - 3 = o*z. Let m(n) = n - 1. What is m(z)?\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -n + 2 = 6. Suppose -5*j + 4 = -3*r - 2, -21 = -3*j - 4*r. Let f = j + n. Let b(q) = -6*q - 1. Determine b(f).\n' | b'5\n' | b'Suppose -n + 2 = 6. Suppose -5*j + 4 = -3*r - 2, -21 = -3*j - 4*r. Let f = j + n. Let b(q) = -6*q - 1. Determine b(f).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((o**(-1/3))**(1/17))**(16/9) assuming o is positive.\n' | b'o**(-16/459)\n' | b'Simplify ((o**(-1/3))**(1/17))**(16/9) assuming o is positive.\n' | b'o**(-16/459)\n' | deepmind/math_dataset |
b'Let s(v) = v**3 - 6*v**2 - 61*v - 14. Let n be s(11). Let l = n + 81. Solve -m = -l, -o + 4*m + 0*m = 3 for o.\n' | b'1\n' | b'Let s(v) = v**3 - 6*v**2 - 61*v - 14. Let n be s(11). Let l = n + 81. Solve -m = -l, -o + 4*m + 0*m = 3 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(x) = -9*x**3 - 17*x**2 + 4*x - 17. Let r(q) = 3*q**3 + 6*q**2 - q + 6. Let u(g) = -6*c(g) - 17*r(g). Find the second derivative of u(k) wrt k.\n' | b'18*k\n' | b'Let c(x) = -9*x**3 - 17*x**2 + 4*x - 17. Let r(q) = 3*q**3 + 6*q**2 - q + 6. Let u(g) = -6*c(g) - 17*r(g). Find the second derivative of u(k) wrt k.\n' | b'18*k\n' | deepmind/math_dataset |
b'Let o(i) = -2*i - 9. Let r be o(-6). Suppose 4*b = -4, 3*c + 2*b = 4*c + r. Let d(f) = -4*f - 4. What is d(c)?\n' | b'16\n' | b'Let o(i) = -2*i - 9. Let r be o(-6). Suppose 4*b = -4, 3*c + 2*b = 4*c + r. Let d(f) = -4*f - 4. What is d(c)?\n' | b'16\n' | deepmind/math_dataset |
b'Suppose 6*w = 5 + 7. Solve w*a = 3*m - 0*a + 8, -m = a + 1 for m.\n' | b'-2\n' | b'Suppose 6*w = 5 + 7. Solve w*a = 3*m - 0*a + 8, -m = a + 1 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let m(d) = -d**3 + 13*d**2 + 14*d + 4. Let n be m(14). Solve -5*y + 2*r - 1 = 6*r, -n*y = r + 3 for y.\n' | b'-1\n' | b'Let m(d) = -d**3 + 13*d**2 + 14*d + 4. Let n be m(14). Solve -5*y + 2*r - 1 = 6*r, -n*y = r + 3 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o = 256 + -227. Suppose -14*k + 15*k = -5*m - 1, -m - o = 5*k. Let j(w) = -2*w - 2. Determine j(k).\n' | b'10\n' | b'Let o = 256 + -227. Suppose -14*k + 15*k = -5*m - 1, -m - o = 5*k. Let j(w) = -2*w - 2. Determine j(k).\n' | b'10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 7, u: 6, s: 2, t: 1, j: 1}. Give prob of sequence wtww.\n' | b'1/272\n' | b'Four letters picked without replacement from {w: 7, u: 6, s: 2, t: 1, j: 1}. Give prob of sequence wtww.\n' | b'1/272\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tttpvkfkptvutkkvtvt. Give prob of picking 2 k.\n' | b'2/57\n' | b'Two letters picked without replacement from tttpvkfkptvutkkvtvt. Give prob of picking 2 k.\n' | b'2/57\n' | deepmind/math_dataset |
b'Simplify u**(14/5)*u**(-2/43) assuming u is positive.\n' | b'u**(592/215)\n' | b'Simplify u**(14/5)*u**(-2/43) assuming u is positive.\n' | b'u**(592/215)\n' | deepmind/math_dataset |
b'Let o(y) = -y**3 - y**2 + 2*y - 1. Let z(h) = -h**2 + 5*h - 3. Let c be z(3). Let v = c - 6. What is o(v)?\n' | b'11\n' | b'Let o(y) = -y**3 - y**2 + 2*y - 1. Let z(h) = -h**2 + 5*h - 3. Let c be z(3). Let v = c - 6. What is o(v)?\n' | b'11\n' | deepmind/math_dataset |
b'Simplify (((b**(2/5)/b*b)**(-2))**(2/149))**46 assuming b is positive.\n' | b'b**(-368/745)\n' | b'Simplify (((b**(2/5)/b*b)**(-2))**(2/149))**46 assuming b is positive.\n' | b'b**(-368/745)\n' | deepmind/math_dataset |
b'Let g(t) = 3*t**2 - 3 - 3 + 2 + 3. Let i be g(1). Find the second derivative of 4*h**4 - 5*h**4 + 0*h**i - h + 0*h**2 wrt h.\n' | b'-12*h**2\n' | b'Let g(t) = 3*t**2 - 3 - 3 + 2 + 3. Let i be g(1). Find the second derivative of 4*h**4 - 5*h**4 + 0*h**i - h + 0*h**2 wrt h.\n' | b'-12*h**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 v when two letters picked without replacement from {q: 5, h: 4, a: 2, v: 1, g: 2}?\n' | b'2/91\n' | b'What is prob of picking 1 a and 1 v when two letters picked without replacement from {q: 5, h: 4, a: 2, v: 1, g: 2}?\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify ((o/o**(-2/9)*o**(3/2))/(o/((o*o**0*o)/o))**(-3/40))/(((o*o**4)/o**(-1))/(o*o/o**(-1/2))**(-1/16)) assuming o is positive.\n' | b'o**(-989/288)\n' | b'Simplify ((o/o**(-2/9)*o**(3/2))/(o/((o*o**0*o)/o))**(-3/40))/(((o*o**4)/o**(-1))/(o*o/o**(-1/2))**(-1/16)) assuming o is positive.\n' | b'o**(-989/288)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 9, t: 2, m: 8}. Give prob of sequence mmv.\n' | b'28/323\n' | b'Three letters picked without replacement from {v: 9, t: 2, m: 8}. Give prob of sequence mmv.\n' | b'28/323\n' | deepmind/math_dataset |
b'Let x(c) = 869*c**5 - 7*c**3 - 2*c**2 + 5*c. Let s(p) = p**5 + p**3 - p**2 - p. Let v(u) = -7*s(u) - x(u). What is the third derivative of v(h) wrt h?\n' | b'-52560*h**2\n' | b'Let x(c) = 869*c**5 - 7*c**3 - 2*c**2 + 5*c. Let s(p) = p**5 + p**3 - p**2 - p. Let v(u) = -7*s(u) - x(u). What is the third derivative of v(h) wrt h?\n' | b'-52560*h**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 5, r: 4, z: 3, a: 1, t: 5, l: 2}. Give prob of picking 3 t.\n' | b'1/114\n' | b'Three letters picked without replacement from {b: 5, r: 4, z: 3, a: 1, t: 5, l: 2}. Give prob of picking 3 t.\n' | b'1/114\n' | deepmind/math_dataset |
b'Let a = 154 + -149. Let k(c) = -3*c**2 + 13*c + 22. Let r(x) = -x**2 + 7*x + 11. Let l(i) = a*r(i) - 2*k(i). What is l(-8)?\n' | b'3\n' | b'Let a = 154 + -149. Let k(c) = -3*c**2 + 13*c + 22. Let r(x) = -x**2 + 7*x + 11. Let l(i) = a*r(i) - 2*k(i). What is l(-8)?\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from {m: 2, u: 1, w: 8, z: 2}?\n' | b'1/78\n' | b'What is prob of picking 2 z when two letters picked without replacement from {m: 2, u: 1, w: 8, z: 2}?\n' | b'1/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 9, z: 5}. What is prob of picking 2 z?\n' | b'10/91\n' | b'Two letters picked without replacement from {j: 9, z: 5}. What is prob of picking 2 z?\n' | b'10/91\n' | deepmind/math_dataset |
b'Let n(h) be the third derivative of 1/12*h**4 + 1/6*h**3 - 7/120*h**6 + h**2 + 1/30*h**5 + 0 + 0*h. Let k = 19 + -20. Calculate n(k).\n' | b'8\n' | b'Let n(h) be the third derivative of 1/12*h**4 + 1/6*h**3 - 7/120*h**6 + h**2 + 1/30*h**5 + 0 + 0*h. Let k = 19 + -20. Calculate n(k).\n' | b'8\n' | deepmind/math_dataset |
b'Let t(h) = 3*h + 51. Let q be t(-16). Find the third derivative of 53418*u**3 - 53418*u**q - 31*u**4 + 106*u**2 wrt u.\n' | b'-744*u\n' | b'Let t(h) = 3*h + 51. Let q be t(-16). Find the third derivative of 53418*u**3 - 53418*u**q - 31*u**4 + 106*u**2 wrt u.\n' | b'-744*u\n' | deepmind/math_dataset |
b'Calculate prob of sequence mmmy when four letters picked without replacement from ymyaybaayymmbyyyyyy.\n' | b'11/15504\n' | b'Calculate prob of sequence mmmy when four letters picked without replacement from ymyaybaayymmbyyyyyy.\n' | b'11/15504\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from cxxcccxcccxccxxxccc.\n' | b'22/57\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from cxxcccxcccxccxxxccc.\n' | b'22/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyyyvvcvyccyyc. What is prob of picking 1 y and 1 c?\n' | b'4/13\n' | b'Two letters picked without replacement from yyyyvvcvyccyyc. What is prob of picking 1 y and 1 c?\n' | b'4/13\n' | deepmind/math_dataset |
b'Simplify ((u*u/(u/u**12)*u*u*u*u*u)/u**(2/49)*((u*u**(-4)*u*u)/u)/(u*u**(-16)))**(3/4) assuming u is positive.\n' | b'u**(4551/196)\n' | b'Simplify ((u*u/(u/u**12)*u*u*u*u*u)/u**(2/49)*((u*u**(-4)*u*u)/u)/(u*u**(-16)))**(3/4) assuming u is positive.\n' | b'u**(4551/196)\n' | deepmind/math_dataset |
b'Let y(x) be the first derivative of x**4/12 - x**3/6 - 5*x - 4. Let t(c) be the first derivative of y(c). Calculate t(1).\n' | b'0\n' | b'Let y(x) be the first derivative of x**4/12 - x**3/6 - 5*x - 4. Let t(c) be the first derivative of y(c). Calculate t(1).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from utcutucuuuuucuu. Give prob of picking 2 c.\n' | b'1/35\n' | b'Two letters picked without replacement from utcutucuuuuucuu. Give prob of picking 2 c.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let p(x) be the second derivative of 0 - 41*x + 1/6*x**3 + 1/12*x**4 - x**2. Calculate p(-3).\n' | b'4\n' | b'Let p(x) be the second derivative of 0 - 41*x + 1/6*x**3 + 1/12*x**4 - x**2. Calculate p(-3).\n' | b'4\n' | deepmind/math_dataset |
b'Let r be (-2 + 3)*(-2 - 2). Let l be 4/(-6)*(-6 + (-1 - r)). Let c(i) = 3 - 13*i + 4*i + 2 + 2 + i**l. What is c(6)?\n' | b'-11\n' | b'Let r be (-2 + 3)*(-2 - 2). Let l be 4/(-6)*(-6 + (-1 - r)). Let c(i) = 3 - 13*i + 4*i + 2 + 2 + i**l. What is c(6)?\n' | b'-11\n' | deepmind/math_dataset |
b'Let d(m) be the third derivative of m**7/840 - m**6/60 + m**5/30 - m**4/12 - 25*m**3/6 + 9*m**2. Let r(k) be the first derivative of d(k). What is r(5)?\n' | b'-7\n' | b'Let d(m) be the third derivative of m**7/840 - m**6/60 + m**5/30 - m**4/12 - 25*m**3/6 + 9*m**2. Let r(k) be the first derivative of d(k). What is r(5)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let s(b) = -149 - 11*b - 150 + 299. Determine s(1).\n' | b'-11\n' | b'Let s(b) = -149 - 11*b - 150 + 299. Determine s(1).\n' | b'-11\n' | deepmind/math_dataset |
b'Let l(b) be the first derivative of -9/2*b**2 + 0*b - 11 + 4/3*b**3 - 73/4*b**4. Find the third derivative of l(o) wrt o.\n' | b'-438\n' | b'Let l(b) be the first derivative of -9/2*b**2 + 0*b - 11 + 4/3*b**3 - 73/4*b**4. Find the third derivative of l(o) wrt o.\n' | b'-438\n' | deepmind/math_dataset |
b'Suppose -2*d - 5*r = -8, -2*r - 12 = -3*d - 0*r. Suppose -3*h - 5 = -d*h. Solve u + 2*w + 6 = w, h*u = -3*w - 22 for u.\n' | b'-2\n' | b'Suppose -2*d - 5*r = -8, -2*r - 12 = -3*d - 0*r. Suppose -3*h - 5 = -d*h. Solve u + 2*w + 6 = w, h*u = -3*w - 22 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjsjyjysssjyisyyxi. Give prob of picking 2 y, 1 s, and 1 x.\n' | b'5/306\n' | b'Four letters picked without replacement from jjsjyjysssjyisyyxi. Give prob of picking 2 y, 1 s, and 1 x.\n' | b'5/306\n' | deepmind/math_dataset |
b'Let o(r) be the first derivative of -67*r**7 - 5*r**3/3 - 175*r - 272. Find the third derivative of o(n) wrt n.\n' | b'-56280*n**3\n' | b'Let o(r) be the first derivative of -67*r**7 - 5*r**3/3 - 175*r - 272. Find the third derivative of o(n) wrt n.\n' | b'-56280*n**3\n' | deepmind/math_dataset |
b'Let f be ((-5)/7 - -1) + 1452/308. Suppose -f*a = -8*a. What is the second derivative of a*h + 14*h**2 - 6*h + 3*h wrt h?\n' | b'28\n' | b'Let f be ((-5)/7 - -1) + 1452/308. Suppose -f*a = -8*a. What is the second derivative of a*h + 14*h**2 - 6*h + 3*h wrt h?\n' | b'28\n' | deepmind/math_dataset |
b'Suppose -4*s + 5*r = -6*s + 6, 25 = s - 3*r. Solve l + s = g + 5*l, 2*g - 3*l - 4 = 0 for g.\n' | b'5\n' | b'Suppose -4*s + 5*r = -6*s + 6, 25 = s - 3*r. Solve l + s = g + 5*l, 2*g - 3*l - 4 = 0 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let x(i) = -i**2 - 9*i - 3. Let z be x(-8). Let y(q) = q - 2. Let m be y(z). What is the second derivative of -m*c**2 + 2*c - c**2 + 2*c**2 wrt c?\n' | b'-4\n' | b'Let x(i) = -i**2 - 9*i - 3. Let z be x(-8). Let y(q) = q - 2. Let m be y(z). What is the second derivative of -m*c**2 + 2*c - c**2 + 2*c**2 wrt c?\n' | b'-4\n' | deepmind/math_dataset |
b'What is the third derivative of 232*j - 1739*j**2 - 11826*j**5 + 7232*j**2 + 6338*j**5 - 232*j wrt j?\n' | b'-329280*j**2\n' | b'What is the third derivative of 232*j - 1739*j**2 - 11826*j**5 + 7232*j**2 + 6338*j**5 - 232*j wrt j?\n' | b'-329280*j**2\n' | deepmind/math_dataset |
b'Simplify ((t**22/t*t)/t**(2/23))**31 assuming t is positive.\n' | b't**(15624/23)\n' | b'Simplify ((t**22/t*t)/t**(2/23))**31 assuming t is positive.\n' | b't**(15624/23)\n' | deepmind/math_dataset |
b'Simplify (b*b/(b/(b/(b*b/(b/b**(-1))*b))*b*b))**(-8) assuming b is positive.\n' | b'b**8\n' | b'Simplify (b*b/(b/(b/(b*b/(b/b**(-1))*b))*b*b))**(-8) assuming b is positive.\n' | b'b**8\n' | deepmind/math_dataset |
b'Differentiate -119*d + 168 - 722 - 25*d**3 + 123*d wrt d.\n' | b'-75*d**2 + 4\n' | b'Differentiate -119*d + 168 - 722 - 25*d**3 + 123*d wrt d.\n' | b'-75*d**2 + 4\n' | deepmind/math_dataset |
b'Suppose 3*k + 8 - 77 = 0. Let g(z) = z**3 - 13*z**2 - 431*z + 6016. Let v be g(15). Solve 0 = 5*s + r - k, -4 = -r - v for s.\n' | b'4\n' | b'Suppose 3*k + 8 - 77 = 0. Let g(z) = z**3 - 13*z**2 - 431*z + 6016. Let v be g(15). Solve 0 = 5*s + r - k, -4 = -r - v for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let w(d) be the third derivative of -d**6/120 + d**5/5 - 7*d**4/12 + 16*d**3/3 + 14*d**2 + 3*d. Let l be w(11). Let r(b) = 7*b**2 - b. Determine r(l).\n' | b'8\n' | b'Let w(d) be the third derivative of -d**6/120 + d**5/5 - 7*d**4/12 + 16*d**3/3 + 14*d**2 + 3*d. Let l be w(11). Let r(b) = 7*b**2 - b. Determine r(l).\n' | b'8\n' | deepmind/math_dataset |
b'Let s(m) = -195*m**3 + 10*m**2 + 5*m + 53. Let j(r) = 293*r**3 - 16*r**2 - 8*r - 79. Let b(i) = 5*j(i) + 8*s(i). Differentiate b(h) wrt h.\n' | b'-285*h**2\n' | b'Let s(m) = -195*m**3 + 10*m**2 + 5*m + 53. Let j(r) = 293*r**3 - 16*r**2 - 8*r - 79. Let b(i) = 5*j(i) + 8*s(i). Differentiate b(h) wrt h.\n' | b'-285*h**2\n' | deepmind/math_dataset |
b'Let m(h) = -h - 2. Let v be m(2). Let z(w) = -9*w + 3. Let o(i) = -i. Let p(b) = v*o(b) + z(b). Calculate p(2).\n' | b'-7\n' | b'Let m(h) = -h - 2. Let v be m(2). Let z(w) = -9*w + 3. Let o(i) = -i. Let p(b) = v*o(b) + z(b). Calculate p(2).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((k/k**(-2/57))/(k/(k*k*(k**31*k)/k*k)))**(-41) assuming k is positive.\n' | b'k**(-79540/57)\n' | b'Simplify ((k/k**(-2/57))/(k/(k*k*(k**31*k)/k*k)))**(-41) assuming k is positive.\n' | b'k**(-79540/57)\n' | deepmind/math_dataset |
b'Let b = 3660 + -3660. Solve 6 = 3*a - q, b*q = -4*a + 3*q + 8 for a.\n' | b'2\n' | b'Let b = 3660 + -3660. Solve 6 = 3*a - q, b*q = -4*a + 3*q + 8 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify j**(2/25)/j**(-14/3) assuming j is positive.\n' | b'j**(356/75)\n' | b'Simplify j**(2/25)/j**(-14/3) assuming j is positive.\n' | b'j**(356/75)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 4, v: 3, k: 1, y: 3}. What is prob of picking 2 y?\n' | b'3/55\n' | b'Two letters picked without replacement from {h: 4, v: 3, k: 1, y: 3}. What is prob of picking 2 y?\n' | b'3/55\n' | deepmind/math_dataset |
b'Simplify ((b*b/b**(-1/3))/(((b**(-1)/b)/b)/b)*b**(-3)*b/(b*b**2))/(b/(b**(-4)/b*b)*b**(-6)*b)**0 assuming b is positive.\n' | b'b**(4/3)\n' | b'Simplify ((b*b/b**(-1/3))/(((b**(-1)/b)/b)/b)*b**(-3)*b/(b*b**2))/(b/(b**(-4)/b*b)*b**(-6)*b)**0 assuming b is positive.\n' | b'b**(4/3)\n' | deepmind/math_dataset |
b'What is prob of picking 4 c when four letters picked without replacement from cceececeecceeececcc?\n' | b'35/646\n' | b'What is prob of picking 4 c when four letters picked without replacement from cceececeecceeececcc?\n' | b'35/646\n' | deepmind/math_dataset |
b'Simplify c/((c/(c/((c*c*c**(-17/2))/c)))/c*c)*c**17/c assuming c is positive.\n' | b'c**(49/2)\n' | b'Simplify c/((c/(c/((c*c*c**(-17/2))/c)))/c*c)*c**17/c assuming c is positive.\n' | b'c**(49/2)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ybbbbbbybb. Give prob of picking 4 b.\n' | b'1/3\n' | b'Four letters picked without replacement from ybbbbbbybb. Give prob of picking 4 b.\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose -53 = 23*j - 168. Find the first derivative of 420 - 354 - 16*l + 44*l + j*l**2 + 0*l**2 - l**2 wrt l.\n' | b'8*l + 28\n' | b'Suppose -53 = 23*j - 168. Find the first derivative of 420 - 354 - 16*l + 44*l + j*l**2 + 0*l**2 - l**2 wrt l.\n' | b'8*l + 28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 10, q: 4}. What is prob of sequence vvv?\n' | b'30/91\n' | b'Three letters picked without replacement from {v: 10, q: 4}. What is prob of sequence vvv?\n' | b'30/91\n' | deepmind/math_dataset |
b'Simplify (h*h**(-3/5)*h*h**3)**31 assuming h is positive.\n' | b'h**(682/5)\n' | b'Simplify (h*h**(-3/5)*h*h**3)**31 assuming h is positive.\n' | b'h**(682/5)\n' | deepmind/math_dataset |
b'Simplify (r**(9/4)*r/(r**(-31)/r))/((r*r/r**(-11/3))/(r*r*r*r**(-20)*r*r*r)) assuming r is positive.\n' | b'r**(187/12)\n' | b'Simplify (r**(9/4)*r/(r**(-31)/r))/((r*r/r**(-11/3))/(r*r*r*r**(-20)*r*r*r)) assuming r is positive.\n' | b'r**(187/12)\n' | deepmind/math_dataset |
b'Suppose -d - o - 28 = 0, 9 + 181 = -5*d + 5*o. Let h = -27 - d. Let a(t) be the third derivative of t**4/8 - 4*t**3/3 - t**2. Calculate a(h).\n' | b'10\n' | b'Suppose -d - o - 28 = 0, 9 + 181 = -5*d + 5*o. Let h = -27 - d. Let a(t) be the third derivative of t**4/8 - 4*t**3/3 - t**2. Calculate a(h).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (f/f**37)**(1/14)/(f*f**(2/19)*f**(-22)) assuming f is positive.\n' | b'f**(2437/133)\n' | b'Simplify (f/f**37)**(1/14)/(f*f**(2/19)*f**(-22)) assuming f is positive.\n' | b'f**(2437/133)\n' | deepmind/math_dataset |
b'Let w(d) = -d + 7. Let t be 10/4 - (1/(-2) - 0). Calculate w(t).\n' | b'4\n' | b'Let w(d) = -d + 7. Let t be 10/4 - (1/(-2) - 0). Calculate w(t).\n' | b'4\n' | deepmind/math_dataset |
b'Let q(x) = 6*x + 0*x + x**2 + 3*x**2. Suppose 61 = 3*w + 43. Let s(i) = 2*i**2 + 3*i. Let v(d) = w*q(d) - 11*s(d). Find the second derivative of v(z) wrt z.\n' | b'4\n' | b'Let q(x) = 6*x + 0*x + x**2 + 3*x**2. Suppose 61 = 3*w + 43. Let s(i) = 2*i**2 + 3*i. Let v(d) = w*q(d) - 11*s(d). Find the second derivative of v(z) wrt z.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ssseseesssssessssse. Give prob of sequence ses.\n' | b'455/2907\n' | b'Three letters picked without replacement from ssseseesssssessssse. Give prob of sequence ses.\n' | b'455/2907\n' | deepmind/math_dataset |
b'Suppose j + 8 = -3*v, 4*j - v - 20 = -0*v. Suppose j*a = 4 + 20. Differentiate 6*p**3 - 1 + a + 0 wrt p.\n' | b'18*p**2\n' | b'Suppose j + 8 = -3*v, 4*j - v - 20 = -0*v. Suppose j*a = 4 + 20. Differentiate 6*p**3 - 1 + a + 0 wrt p.\n' | b'18*p**2\n' | deepmind/math_dataset |
b'Let h(j) = -40*j**2 + 91*j - 1. Let b be h(2). Let i = -5 - -7. Solve 3*p - b = -i*d, 2*d - 11 = -2*p + p for d.\n' | b'3\n' | b'Let h(j) = -40*j**2 + 91*j - 1. Let b be h(2). Let i = -5 - -7. Solve 3*p - b = -i*d, 2*d - 11 = -2*p + p for d.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (b*b**10*b)/((b/(b**(-2)/b)*b)/b)*(b**(1/6)*b)/b*b**7 assuming b is positive.\n' | b'b**(91/6)\n' | b'Simplify (b*b**10*b)/((b/(b**(-2)/b)*b)/b)*(b**(1/6)*b)/b*b**7 assuming b is positive.\n' | b'b**(91/6)\n' | deepmind/math_dataset |
b'Suppose i + 3 - 5 = 0. Let v = 5 - i. Find the third derivative of 2*y**3 - 3*y**2 - 9*y**3 + 5*y**v wrt y.\n' | b'-12\n' | b'Suppose i + 3 - 5 = 0. Let v = 5 - i. Find the third derivative of 2*y**3 - 3*y**2 - 9*y**3 + 5*y**v wrt y.\n' | b'-12\n' | deepmind/math_dataset |
b'Let l be (11 - -1)*-4*(-3)/36. Suppose 4*s + 3*g = -7 + 32, 4*s - 24 = -l*g. Solve 5*n + 4*i - s = 0, -i + 0*i = -4*n + 14 for n.\n' | b'3\n' | b'Let l be (11 - -1)*-4*(-3)/36. Suppose 4*s + 3*g = -7 + 32, 4*s - 24 = -l*g. Solve 5*n + 4*i - s = 0, -i + 0*i = -4*n + 14 for n.\n' | b'3\n' | deepmind/math_dataset |
b'Let g(j) be the second derivative of j**2 - 1/10*j**5 - 1/3*j**3 + 13*j - 1/3*j**4 + 0. Determine g(-2).\n' | b'6\n' | b'Let g(j) be the second derivative of j**2 - 1/10*j**5 - 1/3*j**3 + 13*j - 1/3*j**4 + 0. Determine g(-2).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f and 1 a when three letters picked without replacement from {s: 2, f: 6, a: 2, o: 1, i: 4}.\n' | b'6/91\n' | b'Calculate prob of picking 2 f and 1 a when three letters picked without replacement from {s: 2, f: 6, a: 2, o: 1, i: 4}.\n' | b'6/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from opppf. What is prob of sequence fp?\n' | b'3/20\n' | b'Two letters picked without replacement from opppf. What is prob of sequence fp?\n' | b'3/20\n' | deepmind/math_dataset |
b'Let x(l) = l**3 + 5*l**2 - 14. Let d(u) = -3*u**3 - 14*u**2 + 42. Let q(s) = -6*d(s) - 17*x(s). Suppose -222*c = 248*c - 382*c. Give q(c).\n' | b'-14\n' | b'Let x(l) = l**3 + 5*l**2 - 14. Let d(u) = -3*u**3 - 14*u**2 + 42. Let q(s) = -6*d(s) - 17*x(s). Suppose -222*c = 248*c - 382*c. Give q(c).\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify ((((o/o**4)/o)/((o**(3/7)/o)/o))/(o/(o*o*o**(-4/5))*o**(-6/7)))**(6/7) assuming o is positive.\n' | b'o**(-288/245)\n' | b'Simplify ((((o/o**4)/o)/((o**(3/7)/o)/o))/(o/(o*o*o**(-4/5))*o**(-6/7)))**(6/7) assuming o is positive.\n' | b'o**(-288/245)\n' | deepmind/math_dataset |
b'Suppose 4*c = -0*f - 4*f, -4*c + 4*f = -24. Let l(s) = s**2 + s**3 - s - 3*s**2 - s**2 + 0*s**3 - 1. Calculate l(c).\n' | b'-4\n' | b'Suppose 4*c = -0*f - 4*f, -4*c + 4*f = -24. Let l(s) = s**2 + s**3 - s - 3*s**2 - s**2 + 0*s**3 - 1. Calculate l(c).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o when two letters picked without replacement from rjorjjojrrrjjojorjjj.\n' | b'3/95\n' | b'Calculate prob of picking 2 o when two letters picked without replacement from rjorjjojrrrjjojorjjj.\n' | b'3/95\n' | deepmind/math_dataset |
b'Let x = 4 - 0. Suppose c - 25 = x*c + 2*g, 0 = 2*g + 10. Let w(v) = -v**2 - 6*v - 7. Calculate w(c).\n' | b'-2\n' | b'Let x = 4 - 0. Suppose c - 25 = x*c + 2*g, 0 = 2*g + 10. Let w(v) = -v**2 - 6*v - 7. Calculate w(c).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(a) be the third derivative of a**5/15 - 13*a**4/12 - 5*a**3/6 + 1173*a**2. What is i(7)?\n' | b'9\n' | b'Let i(a) be the third derivative of a**5/15 - 13*a**4/12 - 5*a**3/6 + 1173*a**2. What is i(7)?\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y, 1 w, and 1 o when three letters picked without replacement from {l: 2, e: 1, w: 1, y: 1, d: 7, o: 2}.\n' | b'1/182\n' | b'Calculate prob of picking 1 y, 1 w, and 1 o when three letters picked without replacement from {l: 2, e: 1, w: 1, y: 1, d: 7, o: 2}.\n' | b'1/182\n' | deepmind/math_dataset |
b'Suppose -4*c = -2*c. Suppose 0 = -2*t - c*t + 2, 3*f + t - 1 = 0. Suppose -4*i - 12 = 0, -4*l - 2*i = -6*l + 10. Solve f = -q + l, p - 4*q + 1 = -12 for p.\n' | b'-5\n' | b'Suppose -4*c = -2*c. Suppose 0 = -2*t - c*t + 2, 3*f + t - 1 = 0. Suppose -4*i - 12 = 0, -4*l - 2*i = -6*l + 10. Solve f = -q + l, p - 4*q + 1 = -12 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'What is the first derivative of 2*i - 34 + 38 - i wrt i?\n' | b'1\n' | b'What is the first derivative of 2*i - 34 + 38 - i wrt i?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -n - d + 19 + 62 = 0, -5*d = -3*n + 251. Suppose 94 = 3*a + n. Find the third derivative of k**2 - 83*k**4 + 60*k**a - 13*k**2 wrt k.\n' | b'-552*k\n' | b'Suppose -n - d + 19 + 62 = 0, -5*d = -3*n + 251. Suppose 94 = 3*a + n. Find the third derivative of k**2 - 83*k**4 + 60*k**a - 13*k**2 wrt k.\n' | b'-552*k\n' | deepmind/math_dataset |
b'Three letters picked without replacement from baddb. Give prob of picking 2 d and 1 a.\n' | b'1/10\n' | b'Three letters picked without replacement from baddb. Give prob of picking 2 d and 1 a.\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -33*x + 35*x = 0. Let l(b) be the second derivative of 0*b**3 + 2*b - 1/10*b**5 - 1/2*b**2 + 0*b**4 + x. Differentiate l(h) with respect to h.\n' | b'-6*h**2\n' | b'Suppose -33*x + 35*x = 0. Let l(b) be the second derivative of 0*b**3 + 2*b - 1/10*b**5 - 1/2*b**2 + 0*b**4 + x. Differentiate l(h) with respect to h.\n' | b'-6*h**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hckcrci. Give prob of sequence kh.\n' | b'1/42\n' | b'Two letters picked without replacement from hckcrci. Give prob of sequence kh.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let z(r) = -11*r**2 - 9*r + 88. Let q(y) = 3*y**2 + 2*y - 22. Let p(u) = -9*q(u) - 2*z(u). Differentiate p(w) wrt w.\n' | b'-10*w\n' | b'Let z(r) = -11*r**2 - 9*r + 88. Let q(y) = 3*y**2 + 2*y - 22. Let p(u) = -9*q(u) - 2*z(u). Differentiate p(w) wrt w.\n' | b'-10*w\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 m and 1 i when four letters picked without replacement from {n: 5, p: 2, g: 1, m: 1, h: 3, i: 3}.\n' | b'0\n' | b'Calculate prob of picking 3 m and 1 i when four letters picked without replacement from {n: 5, p: 2, g: 1, m: 1, h: 3, i: 3}.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (p*p**(-10))/((p/p**(2/5))/p*p) assuming p is positive.\n' | b'p**(-48/5)\n' | b'Simplify (p*p**(-10))/((p/p**(2/5))/p*p) assuming p is positive.\n' | b'p**(-48/5)\n' | deepmind/math_dataset |
b'Let k(a) = a**2 - 2*a + 2. Let y(m) = m**2 - 10*m + 3. Let b be y(10). Let i be k(b). Differentiate -3*r**2 + r**4 - 1 + 3*r**2 - i*r**4 with respect to r.\n' | b'-16*r**3\n' | b'Let k(a) = a**2 - 2*a + 2. Let y(m) = m**2 - 10*m + 3. Let b be y(10). Let i be k(b). Differentiate -3*r**2 + r**4 - 1 + 3*r**2 - i*r**4 with respect to r.\n' | b'-16*r**3\n' | deepmind/math_dataset |
b'Simplify v*v*v**(-6/7)/v*v*v*v/v**(-6)*v*v**(-23)*v**(-16/3) assuming v is positive.\n' | b'v**(-382/21)\n' | b'Simplify v*v*v**(-6/7)/v*v*v*v/v**(-6)*v*v**(-23)*v**(-16/3) assuming v is positive.\n' | b'v**(-382/21)\n' | deepmind/math_dataset |
b'Find the second derivative of 63 - 1151*j**3 - 2*j + 2435*j**3 - 1078*j**3 wrt j.\n' | b'1236*j\n' | b'Find the second derivative of 63 - 1151*j**3 - 2*j + 2435*j**3 - 1078*j**3 wrt j.\n' | b'1236*j\n' | deepmind/math_dataset |
b'What is prob of sequence wcw when three letters picked without replacement from wwwcwcw?\n' | b'4/21\n' | b'What is prob of sequence wcw when three letters picked without replacement from wwwcwcw?\n' | b'4/21\n' | deepmind/math_dataset |
b'Let c = -225 - -226. Let l(s) = 7*s. Let w(t) = -8*t. Let q(n) = 6*l(n) + 4*w(n). Calculate q(c).\n' | b'10\n' | b'Let c = -225 - -226. Let l(s) = 7*s. Let w(t) = -8*t. Let q(n) = 6*l(n) + 4*w(n). Calculate q(c).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose -45*t = -42*t. Let m be (-2 - (-2 + 0))/1. Suppose 2*q - 9 - 1 = m. Solve t = 2*u + 4, 2*r - q*u - 9 - 3 = 0 for r.\n' | b'1\n' | b'Suppose -45*t = -42*t. Let m be (-2 - (-2 + 0))/1. Suppose 2*q - 9 - 1 = m. Solve t = 2*u + 4, 2*r - q*u - 9 - 3 = 0 for r.\n' | b'1\n' | deepmind/math_dataset |
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