question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
|---|---|---|---|---|
b'Find the third derivative of -1381*h**3 - 17*h**4 + 2751*h**3 - 1318*h**3 + 7560*h**2 wrt h.\n' | b'-408*h + 312\n' | b'Find the third derivative of -1381*h**3 - 17*h**4 + 2751*h**3 - 1318*h**3 + 7560*h**2 wrt h.\n' | b'-408*h + 312\n' | deepmind/math_dataset |
b'Let r(b) be the third derivative of -b**6/120 + 7*b**5/60 + 11*b**4/24 - 3*b**3/2 + 23*b**2 + 2. Give r(8).\n' | b'15\n' | b'Let r(b) be the third derivative of -b**6/120 + 7*b**5/60 + 11*b**4/24 - 3*b**3/2 + 23*b**2 + 2. Give r(8).\n' | b'15\n' | deepmind/math_dataset |
b'Let a = -13 + 35. Suppose v + 1 = a. Differentiate 4 - 2 - 11*j**3 + v*j**3 - 18*j**3 wrt j.\n' | b'-24*j**2\n' | b'Let a = -13 + 35. Suppose v + 1 = a. Differentiate 4 - 2 - 11*j**3 + v*j**3 - 18*j**3 wrt j.\n' | b'-24*j**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cjlimllcmilcj. What is prob of sequence il?\n' | b'2/39\n' | b'Two letters picked without replacement from cjlimllcmilcj. What is prob of sequence il?\n' | b'2/39\n' | deepmind/math_dataset |
b'Suppose -6*a + u + 81 = 0, -2*u + 111 = 117. Solve 0 = -4*j + b - 22, -j + b = -4*j - a for j.\n' | b'-5\n' | b'Suppose -6*a + u + 81 = 0, -2*u + 111 = 117. Solve 0 = -4*j + b - 22, -j + b = -4*j - a for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let l(m) be the second derivative of m**6/30 - 107*m**3/3 + 4745*m**2/2 + 444*m. What is the first derivative of l(w) wrt w?\n' | b'4*w**3 - 214\n' | b'Let l(m) be the second derivative of m**6/30 - 107*m**3/3 + 4745*m**2/2 + 444*m. What is the first derivative of l(w) wrt w?\n' | b'4*w**3 - 214\n' | deepmind/math_dataset |
b'Suppose -6*a - 16 = -4*a. Let v(i) be the third derivative of -i**6/120 - 7*i**5/60 + i**4/3 + 5*i**3/6 + 8*i**2. Determine v(a).\n' | b'5\n' | b'Suppose -6*a - 16 = -4*a. Let v(i) be the third derivative of -i**6/120 - 7*i**5/60 + i**4/3 + 5*i**3/6 + 8*i**2. Determine v(a).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((o/o**7)/(o*o**6*o))/(o**1*o)**(8/7)*(((o/o**(-5/4))/o)/o)/(o/(o/o**4)*o)*o**5*o**8 assuming o is positive.\n' | b'o**(-225/28)\n' | b'Simplify ((o/o**7)/(o*o**6*o))/(o**1*o)**(8/7)*(((o/o**(-5/4))/o)/o)/(o/(o/o**4)*o)*o**5*o**8 assuming o is positive.\n' | b'o**(-225/28)\n' | deepmind/math_dataset |
b'Let t(p) be the third derivative of -11*p**7/210 - p**4/3 - 7*p**2. What is the second derivative of t(z) wrt z?\n' | b'-132*z**2\n' | b'Let t(p) be the third derivative of -11*p**7/210 - p**4/3 - 7*p**2. What is the second derivative of t(z) wrt z?\n' | b'-132*z**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 2 m, and 1 a when four letters picked without replacement from {x: 1, p: 1, m: 1, c: 1, g: 1, a: 2}?\n' | b'0\n' | b'What is prob of picking 1 p, 2 m, and 1 a when four letters picked without replacement from {x: 1, p: 1, m: 1, c: 1, g: 1, a: 2}?\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qedegkgdjqkegkje. What is prob of sequence gjge?\n' | b'1/910\n' | b'Four letters picked without replacement from qedegkgdjqkegkje. What is prob of sequence gjge?\n' | b'1/910\n' | deepmind/math_dataset |
b'Let l(b) = 39*b**2 - b - 1. Let o be l(-1). Suppose -5*a - 6 = o. Let q = a + 11. Solve -q*p = p - 9, 4*k - 3*p = 3 for k.\n' | b'3\n' | b'Let l(b) = 39*b**2 - b - 1. Let o be l(-1). Suppose -5*a - 6 = o. Let q = a + 11. Solve -q*p = p - 9, 4*k - 3*p = 3 for k.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, z: 1, e: 1, t: 3, v: 3, b: 2}. What is prob of sequence ttb?\n' | b'2/165\n' | b'Three letters picked without replacement from {q: 1, z: 1, e: 1, t: 3, v: 3, b: 2}. What is prob of sequence ttb?\n' | b'2/165\n' | deepmind/math_dataset |
b'Suppose h = 27*b - 26*b - 4, b = 3*h + 6. Let w(m) = 2*m - 3. Let s be w(6). Let q(r) = -b + s - 3 - 7 + r. Give q(8).\n' | b'4\n' | b'Suppose h = 27*b - 26*b - 4, b = 3*h + 6. Let w(m) = 2*m - 3. Let s be w(6). Let q(r) = -b + s - 3 - 7 + r. Give q(8).\n' | b'4\n' | deepmind/math_dataset |
b'Let b(p) = 6*p - 64. Let i be b(11). Solve -3*l + 6 = 2*d, -5*d - i*l + 2 + 2 = 0 for d.\n' | b'0\n' | b'Let b(p) = 6*p - 64. Let i be b(11). Solve -3*l + 6 = 2*d, -5*d - i*l + 2 + 2 = 0 for d.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -5*q = 2*j + 10, -2*j = -3*j - 4*q - 5. Let k(n) = n**2 + 7*n - 4. Give k(j).\n' | b'-14\n' | b'Suppose -5*q = 2*j + 10, -2*j = -3*j - 4*q - 5. Let k(n) = n**2 + 7*n - 4. Give k(j).\n' | b'-14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lololffllllcflf. What is prob of sequence cf?\n' | b'2/105\n' | b'Two letters picked without replacement from lololffllllcflf. What is prob of sequence cf?\n' | b'2/105\n' | deepmind/math_dataset |
b'Let b = -30 + 33. Let s(j) = -18*j. Let l(w) = -17*w. Let k(c) = b*s(c) - 4*l(c). What is k(1)?\n' | b'14\n' | b'Let b = -30 + 33. Let s(j) = -18*j. Let l(w) = -17*w. Let k(c) = b*s(c) - 4*l(c). What is k(1)?\n' | b'14\n' | deepmind/math_dataset |
b'What is prob of picking 3 p when three letters picked without replacement from {i: 7, p: 6}?\n' | b'10/143\n' | b'What is prob of picking 3 p when three letters picked without replacement from {i: 7, p: 6}?\n' | b'10/143\n' | deepmind/math_dataset |
b'Let g(x) = -7*x + 4 + 127*x**2 + 131*x**2 - 259*x**2. Give g(-7).\n' | b'4\n' | b'Let g(x) = -7*x + 4 + 127*x**2 + 131*x**2 - 259*x**2. Give g(-7).\n' | b'4\n' | deepmind/math_dataset |
b'Let s = 71 - 69. What is the third derivative of 18*l**s - 20*l - 23*l - 6*l**4 + 43*l wrt l?\n' | b'-144*l\n' | b'Let s = 71 - 69. What is the third derivative of 18*l**s - 20*l - 23*l - 6*l**4 + 43*l wrt l?\n' | b'-144*l\n' | deepmind/math_dataset |
b'Let y be (-1 + 112)*((-4)/6 - 0). Let h = -69 - y. Solve 5*t + 30 = -h*v + 3*t, 0 = 2*v + 3*t + 23 for v.\n' | b'-4\n' | b'Let y be (-1 + 112)*((-4)/6 - 0). Let h = -69 - y. Solve 5*t + 30 = -h*v + 3*t, 0 = 2*v + 3*t + 23 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence dlld when four letters picked without replacement from {l: 9, d: 9}?\n' | b'6/85\n' | b'What is prob of sequence dlld when four letters picked without replacement from {l: 9, d: 9}?\n' | b'6/85\n' | deepmind/math_dataset |
b'Simplify (c/(c/((c*c**(-1/7)*c)/c)))/c**(-2/19) assuming c is positive.\n' | b'c**(128/133)\n' | b'Simplify (c/(c/((c*c**(-1/7)*c)/c)))/c**(-2/19) assuming c is positive.\n' | b'c**(128/133)\n' | deepmind/math_dataset |
b'Simplify ((z**6*z)/z)/(z/(((z/(z/(z*z/(z*z**(-1/2)*z*z)))*z)/z)/z*z))*(z**(-2/3)/z)**(-11/9) assuming z is positive.\n' | b'z**(353/54)\n' | b'Simplify ((z**6*z)/z)/(z/(((z/(z/(z*z/(z*z**(-1/2)*z*z)))*z)/z)/z*z))*(z**(-2/3)/z)**(-11/9) assuming z is positive.\n' | b'z**(353/54)\n' | deepmind/math_dataset |
b'Let a(h) = -1 + 5 + 5*h - h**2 - 1. Let p be a(5). What is the first derivative of -u**3 - 5*u**p + 2*u**3 - 2 wrt u?\n' | b'-12*u**2\n' | b'Let a(h) = -1 + 5 + 5*h - h**2 - 1. Let p be a(5). What is the first derivative of -u**3 - 5*u**p + 2*u**3 - 2 wrt u?\n' | b'-12*u**2\n' | deepmind/math_dataset |
b'Simplify (k/k**(-2/15)*k**(5/2))**6/((k**(-2/5))**(4/15)/(k*k*k**2)**(-25)) assuming k is positive.\n' | b'k**(-5857/75)\n' | b'Simplify (k/k**(-2/15)*k**(5/2))**6/((k**(-2/5))**(4/15)/(k*k*k**2)**(-25)) assuming k is positive.\n' | b'k**(-5857/75)\n' | deepmind/math_dataset |
b'Let o be (2 - 1) + (-1 - 0). Solve -2*b - 2*z - 2 = o, -2*b + 0*z - z + 2 = 0 for b.\n' | b'3\n' | b'Let o be (2 - 1) + (-1 - 0). Solve -2*b - 2*z - 2 = o, -2*b + 0*z - z + 2 = 0 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let w = 7 + -4. Let b be (-12)/(-3) - (-1 - (-2)/2). Solve -13 + w = 4*k + r, -b*r = -2*k - 14 for k.\n' | b'-3\n' | b'Let w = 7 + -4. Let b be (-12)/(-3) - (-1 - (-2)/2). Solve -13 + w = 4*k + r, -b*r = -2*k - 14 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence vs when two letters picked without replacement from {v: 2, b: 4, j: 1, s: 1, d: 2, l: 2}.\n' | b'1/66\n' | b'Calculate prob of sequence vs when two letters picked without replacement from {v: 2, b: 4, j: 1, s: 1, d: 2, l: 2}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify (w**6*w*(w/((w*w**(3/4)/w)/w))/w)**(17/4)*(w/(w/(w/w**(-1))))/(w**(2/3)/w)*(w*w/(w*w**(-2/7)))/w**6 assuming w is positive.\n' | b'w**(9553/336)\n' | b'Simplify (w**6*w*(w/((w*w**(3/4)/w)/w))/w)**(17/4)*(w/(w/(w/w**(-1))))/(w**(2/3)/w)*(w*w/(w*w**(-2/7)))/w**6 assuming w is positive.\n' | b'w**(9553/336)\n' | deepmind/math_dataset |
b'Suppose 3*a = -4*o + 32, 5*o - 23 = -2*a + 4*o. Let k = a + -8. Find the third derivative of -3*l**2 - 2*l**3 + 2*l**3 + l**k wrt l.\n' | b'24*l\n' | b'Suppose 3*a = -4*o + 32, 5*o - 23 = -2*a + 4*o. Let k = a + -8. Find the third derivative of -3*l**2 - 2*l**3 + 2*l**3 + l**k wrt l.\n' | b'24*l\n' | deepmind/math_dataset |
b'What is prob of sequence xx when two letters picked without replacement from {x: 9}?\n' | b'1\n' | b'What is prob of sequence xx when two letters picked without replacement from {x: 9}?\n' | b'1\n' | deepmind/math_dataset |
b'Let j(g) be the first derivative of -5*g**2/2 - g + 5. Let k(i) = 13 - 4*i + 56*i**2 - 5*i - 62*i**2 + i**3. Let h be k(7). Calculate j(h).\n' | b'4\n' | b'Let j(g) be the first derivative of -5*g**2/2 - g + 5. Let k(i) = 13 - 4*i + 56*i**2 - 5*i - 62*i**2 + i**3. Let h be k(7). Calculate j(h).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((d**1)**(-47)/(d**4/d**(2/5)))**(2/7) assuming d is positive.\n' | b'd**(-506/35)\n' | b'Simplify ((d**1)**(-47)/(d**4/d**(2/5)))**(2/7) assuming d is positive.\n' | b'd**(-506/35)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 4, w: 8, t: 4}. What is prob of sequence zwzw?\n' | b'1/65\n' | b'Four letters picked without replacement from {z: 4, w: 8, t: 4}. What is prob of sequence zwzw?\n' | b'1/65\n' | deepmind/math_dataset |
b'Let u(h) = -7*h**2 - 6*h + 8. Let c(a) = 15*a**2 + 11*a - 16. Let d(n) = -6*c(n) - 13*u(n). Let x be d(-13). Solve x - 8 = b - 5*o, -3*b + o + 5 = 0 for b.\n' | b'2\n' | b'Let u(h) = -7*h**2 - 6*h + 8. Let c(a) = 15*a**2 + 11*a - 16. Let d(n) = -6*c(n) - 13*u(n). Let x be d(-13). Solve x - 8 = b - 5*o, -3*b + o + 5 = 0 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxxoohxooxoxh. What is prob of picking 1 h, 1 x, and 2 o?\n' | b'24/143\n' | b'Four letters picked without replacement from xxxoohxooxoxh. What is prob of picking 1 h, 1 x, and 2 o?\n' | b'24/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gogsofgg. What is prob of sequence ggf?\n' | b'1/28\n' | b'Three letters picked without replacement from gogsofgg. What is prob of sequence ggf?\n' | b'1/28\n' | deepmind/math_dataset |
b'What is the first derivative of -5 + 1 - 11*g**4 + g**4 + g**4 wrt g?\n' | b'-36*g**3\n' | b'What is the first derivative of -5 + 1 - 11*g**4 + g**4 + g**4 wrt g?\n' | b'-36*g**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ihzzhhhhhizhhzzziqh. Give prob of picking 1 q, 1 i, and 1 z.\n' | b'6/323\n' | b'Three letters picked without replacement from ihzzhhhhhizhhzzziqh. Give prob of picking 1 q, 1 i, and 1 z.\n' | b'6/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 8, o: 5}. What is prob of sequence lll?\n' | b'28/143\n' | b'Three letters picked without replacement from {l: 8, o: 5}. What is prob of sequence lll?\n' | b'28/143\n' | deepmind/math_dataset |
b'Simplify (a/(a*a*a*(((a*a**(1/8)*a)/a)/a)/a*a))/a**(-1/8) assuming a is positive.\n' | b'a**(-2)\n' | b'Simplify (a/(a*a*a*(((a*a**(1/8)*a)/a)/a)/a*a))/a**(-1/8) assuming a is positive.\n' | b'a**(-2)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 11, g: 9}.\n' | b'99/190\n' | b'Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 11, g: 9}.\n' | b'99/190\n' | deepmind/math_dataset |
b'Simplify ((n/(n/(n*n/n**(-8))))/n)/(n*n**(-1/3)) assuming n is positive.\n' | b'n**(25/3)\n' | b'Simplify ((n/(n/(n*n/n**(-8))))/n)/(n*n**(-1/3)) assuming n is positive.\n' | b'n**(25/3)\n' | deepmind/math_dataset |
b'Simplify (l**(-1)*l*l**(3/5))/((l*l**(-2))/((l/(l/((l*l/l**(-3/8))/l)))/l)) assuming l is positive.\n' | b'l**(79/40)\n' | b'Simplify (l**(-1)*l*l**(3/5))/((l*l**(-2))/((l/(l/((l*l/l**(-3/8))/l)))/l)) assuming l is positive.\n' | b'l**(79/40)\n' | deepmind/math_dataset |
b'Simplify ((b**(-1)/b)**36)**19 assuming b is positive.\n' | b'b**(-1368)\n' | b'Simplify ((b**(-1)/b)**36)**19 assuming b is positive.\n' | b'b**(-1368)\n' | deepmind/math_dataset |
b'Let f = -4 + 9. Suppose l = -0*l. Suppose -2*j + 20 = 2*j. Solve 3 = -d - 3*k - f, j*d + 5*k = l for d.\n' | b'4\n' | b'Let f = -4 + 9. Suppose l = -0*l. Suppose -2*j + 20 = 2*j. Solve 3 = -d - 3*k - f, j*d + 5*k = l for d.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 1, p: 1, c: 1, z: 2}. Give prob of picking 1 c, 1 z, and 1 x.\n' | b'1/5\n' | b'Three letters picked without replacement from {x: 1, p: 1, c: 1, z: 2}. Give prob of picking 1 c, 1 z, and 1 x.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 3 f when four letters picked without replacement from {f: 3, h: 2}?\n' | b'2/5\n' | b'What is prob of picking 1 h and 3 f when four letters picked without replacement from {f: 3, h: 2}?\n' | b'2/5\n' | deepmind/math_dataset |
b'Suppose 188 = 11*c + 144. Find the third derivative of 56*a**4 - 22*a**c + 7*a**3 + 21*a**2 - 35*a**4 wrt a.\n' | b'-24*a + 42\n' | b'Suppose 188 = 11*c + 144. Find the third derivative of 56*a**4 - 22*a**c + 7*a**3 + 21*a**2 - 35*a**4 wrt a.\n' | b'-24*a + 42\n' | deepmind/math_dataset |
b'Simplify (((t/t**(2/71)*t/(t*t/(t**(2/43)*t)*t))**14)**(-1/32))**(1/67) assuming t is positive.\n' | b't**(-49/409102)\n' | b'Simplify (((t/t**(2/71)*t/(t*t/(t**(2/43)*t)*t))**14)**(-1/32))**(1/67) assuming t is positive.\n' | b't**(-49/409102)\n' | deepmind/math_dataset |
b'Simplify ((m**(-1/2))**(2/43)/(m**(2/9))**(5/6))/(m/m**(3/8)*m**(2/13)*m)**(-2/75) assuming m is positive.\n' | b'm**(-48601/301860)\n' | b'Simplify ((m**(-1/2))**(2/43)/(m**(2/9))**(5/6))/(m/m**(3/8)*m**(2/13)*m)**(-2/75) assuming m is positive.\n' | b'm**(-48601/301860)\n' | deepmind/math_dataset |
b'Suppose 0 = -5*p - 2*y + 10, -p - 2*y - 14 = -24. Solve -2*s = -2*m - p*m + 2, 5*m + 22 = -4*s for s.\n' | b'-3\n' | b'Suppose 0 = -5*p - 2*y + 10, -p - 2*y - 14 = -24. Solve -2*s = -2*m - p*m + 2, 5*m + 22 = -4*s for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let q(w) be the second derivative of w**7/2520 - w**6/90 - 11*w**5/120 + 2*w**4/3 - 7*w. Let b(z) be the third derivative of q(z). What is b(9)?\n' | b'-2\n' | b'Let q(w) be the second derivative of w**7/2520 - w**6/90 - 11*w**5/120 + 2*w**4/3 - 7*w. Let b(z) be the third derivative of q(z). What is b(9)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(c) = -4764*c**2 + 7*c + 186. Let d(m) = 2382*m**2 - 3*m - 95. Let b(l) = 7*d(l) + 3*i(l). What is the first derivative of b(y) wrt y?\n' | b'4764*y\n' | b'Let i(c) = -4764*c**2 + 7*c + 186. Let d(m) = 2382*m**2 - 3*m - 95. Let b(l) = 7*d(l) + 3*i(l). What is the first derivative of b(y) wrt y?\n' | b'4764*y\n' | deepmind/math_dataset |
b'What is prob of sequence co when two letters picked without replacement from {k: 1, g: 2, o: 1, c: 4, a: 10}?\n' | b'2/153\n' | b'What is prob of sequence co when two letters picked without replacement from {k: 1, g: 2, o: 1, c: 4, a: 10}?\n' | b'2/153\n' | deepmind/math_dataset |
b'Simplify (p**(-2/13)/(p*p**(-21)*p*p))/(p**(4/5)/p**(-2/13)) assuming p is positive.\n' | b'p**(1098/65)\n' | b'Simplify (p**(-2/13)/(p*p**(-21)*p*p))/(p**(4/5)/p**(-2/13)) assuming p is positive.\n' | b'p**(1098/65)\n' | deepmind/math_dataset |
b'What is prob of sequence wwgg when four letters picked without replacement from {t: 1, g: 9, w: 4, e: 1}?\n' | b'12/455\n' | b'What is prob of sequence wwgg when four letters picked without replacement from {t: 1, g: 9, w: 4, e: 1}?\n' | b'12/455\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wrwbhqrb. What is prob of picking 1 b, 1 h, and 2 r?\n' | b'1/35\n' | b'Four letters picked without replacement from wrwbhqrb. What is prob of picking 1 b, 1 h, and 2 r?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let t(n) = -8*n - 8. Let v(j) = j + 1. Let c(k) = -2*t(k) - 14*v(k). Let m = 1156 + -1158. Give c(m).\n' | b'-2\n' | b'Let t(n) = -8*n - 8. Let v(j) = j + 1. Let c(k) = -2*t(k) - 14*v(k). Let m = 1156 + -1158. Give c(m).\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(b) = -2*b**3 + b**2 - 2. Let f be s(-2). Solve 4*r - f - 6 = -x, 0 = -x + 3*r - 11 for x.\n' | b'4\n' | b'Let s(b) = -2*b**3 + b**2 - 2. Let f be s(-2). Solve 4*r - f - 6 = -x, 0 = -x + 3*r - 11 for x.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, w: 4, y: 6}. What is prob of sequence wy?\n' | b'2/11\n' | b'Two letters picked without replacement from {i: 2, w: 4, y: 6}. What is prob of sequence wy?\n' | b'2/11\n' | deepmind/math_dataset |
b'Let n(s) = -4*s**3 + 5*s**2 + 3*s. Let r(u) = -3*u**3 + 5*u**2 + 3*u. Let l(b) = 4*n(b) - 5*r(b). Determine l(-4).\n' | b'-4\n' | b'Let n(s) = -4*s**3 + 5*s**2 + 3*s. Let r(u) = -3*u**3 + 5*u**2 + 3*u. Let l(b) = 4*n(b) - 5*r(b). Determine l(-4).\n' | b'-4\n' | deepmind/math_dataset |
b'Let f(k) = 12*k**5 - 4*k**3 - 5*k**2 + 4*k. Let o(l) = -13*l**5 + 5*l**3 + 6*l**2 - 5*l. Let c(y) = 5*f(y) + 4*o(y). Find the third derivative of c(q) wrt q.\n' | b'480*q**2\n' | b'Let f(k) = 12*k**5 - 4*k**3 - 5*k**2 + 4*k. Let o(l) = -13*l**5 + 5*l**3 + 6*l**2 - 5*l. Let c(y) = 5*f(y) + 4*o(y). Find the third derivative of c(q) wrt q.\n' | b'480*q**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hnbnxjbjnhhjjkj. What is prob of picking 1 x, 1 k, and 2 n?\n' | b'1/455\n' | b'Four letters picked without replacement from hnbnxjbjnhhjjkj. What is prob of picking 1 x, 1 k, and 2 n?\n' | b'1/455\n' | deepmind/math_dataset |
b'Let u be 3*((-4)/3)/2. Let g(r) be the third derivative of -r**6/120 - r**5/30 - r**4/24 + r**3/3 - r**2. Let x be g(u). Solve -2*a - q - x = q, 4*q = 12 for a.\n' | b'-5\n' | b'Let u be 3*((-4)/3)/2. Let g(r) be the third derivative of -r**6/120 - r**5/30 - r**4/24 + r**3/3 - r**2. Let x be g(u). Solve -2*a - q - x = q, 4*q = 12 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, t: 2, j: 6, i: 1, q: 1}. What is prob of sequence ijjy?\n' | b'1/198\n' | b'Four letters picked without replacement from {y: 2, t: 2, j: 6, i: 1, q: 1}. What is prob of sequence ijjy?\n' | b'1/198\n' | deepmind/math_dataset |
b'Calculate prob of sequence ggk when three letters picked without replacement from {g: 3, k: 2}.\n' | b'1/5\n' | b'Calculate prob of sequence ggk when three letters picked without replacement from {g: 3, k: 2}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let x be 1/6 + (-17)/(-6). Differentiate 0*q**3 + 6*q**3 - 10 - 9*q**x with respect to q.\n' | b'-9*q**2\n' | b'Let x be 1/6 + (-17)/(-6). Differentiate 0*q**3 + 6*q**3 - 10 - 9*q**x with respect to q.\n' | b'-9*q**2\n' | deepmind/math_dataset |
b'Simplify (r**20*r*r**(1/5))/((r**(1/3)/r)/r*r/(r/(r**14/r*r)*r)) assuming r is positive.\n' | b'r**(148/15)\n' | b'Simplify (r**20*r*r**(1/5))/((r**(1/3)/r)/r*r/(r/(r**14/r*r)*r)) assuming r is positive.\n' | b'r**(148/15)\n' | deepmind/math_dataset |
b'Let w(s) be the second derivative of -17*s**6/3 - 67*s**2 - 22*s. What is the derivative of w(q) wrt q?\n' | b'-680*q**3\n' | b'Let w(s) be the second derivative of -17*s**6/3 - 67*s**2 - 22*s. What is the derivative of w(q) wrt q?\n' | b'-680*q**3\n' | deepmind/math_dataset |
b'Let h(m) = 14 - m**3 + 100*m**2 - 13 - 99*m**2. Suppose 5 = 2*x + 3. What is h(x)?\n' | b'1\n' | b'Let h(m) = 14 - m**3 + 100*m**2 - 13 - 99*m**2. Suppose 5 = 2*x + 3. What is h(x)?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (o**(-2/7)*o)/(o**(-13)/o)*(o**(-4))**(-3) assuming o is positive.\n' | b'o**(187/7)\n' | b'Simplify (o**(-2/7)*o)/(o**(-13)/o)*(o**(-4))**(-3) assuming o is positive.\n' | b'o**(187/7)\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 d when two letters picked without replacement from {g: 3, d: 3, e: 1}?\n' | b'1/7\n' | b'What is prob of picking 1 e and 1 d when two letters picked without replacement from {g: 3, d: 3, e: 1}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let i(h) = h**2 - h + 4. Let g = -50 - -30. Let m(p) = p**3 + 18*p**2 - 44*p - 18. Let q be m(g). Let o = q + -65. What is i(o)?\n' | b'16\n' | b'Let i(h) = h**2 - h + 4. Let g = -50 - -30. Let m(p) = p**3 + 18*p**2 - 44*p - 18. Let q be m(g). Let o = q + -65. What is i(o)?\n' | b'16\n' | deepmind/math_dataset |
b'Suppose 14 = 11*x - 8. Let i(v) = -v**2 + 3*v + 3. Let a be i(x). Solve 4*d - k = 0, k + 0 + a = -d for d.\n' | b'-1\n' | b'Suppose 14 = 11*x - 8. Let i(v) = -v**2 + 3*v + 3. Let a be i(x). Solve 4*d - k = 0, k + 0 + a = -d for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a(d) = -d**2 - d. Let b = 2 + 1. Suppose -2*r + 5 = b*g, 10 - 2 = -4*r. Suppose -3*u - 12 = 3*q, g*u = -2*q - 3 - 4. Give a(u).\n' | b'-2\n' | b'Let a(d) = -d**2 - d. Let b = 2 + 1. Suppose -2*r + 5 = b*g, 10 - 2 = -4*r. Suppose -3*u - 12 = 3*q, g*u = -2*q - 3 - 4. Give a(u).\n' | b'-2\n' | deepmind/math_dataset |
b'Let t(y) = 47*y - 2. Let c(b) = 9*b. Let a(k) = 11*c(k) - 2*t(k). Let m = -7 + 14. Suppose 0 = -z + 2*z + 2*q - m, -16 = -3*z - 5*q. What is a(z)?\n' | b'-11\n' | b'Let t(y) = 47*y - 2. Let c(b) = 9*b. Let a(k) = 11*c(k) - 2*t(k). Let m = -7 + 14. Suppose 0 = -z + 2*z + 2*q - m, -16 = -3*z - 5*q. What is a(z)?\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify i**4/i*i*i**(1/2)*i*i*(i*(((i/i**1)/i)/i)/i*i)**36 assuming i is positive.\n' | b'i**(-59/2)\n' | b'Simplify i**4/i*i*i**(1/2)*i*i*(i*(((i/i**1)/i)/i)/i*i)**36 assuming i is positive.\n' | b'i**(-59/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence zz when two letters picked without replacement from {z: 3, s: 1}.\n' | b'1/2\n' | b'Calculate prob of sequence zz when two letters picked without replacement from {z: 3, s: 1}.\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose 3*w = 2*n, -2*n - 2*w + 2 = -3*n. Let t = 5 - n. Let r be 2 + (0 - t) + -2. Solve 4*k + r + 7 = 0, 4*f - k - 22 = 0 for f.\n' | b'5\n' | b'Suppose 3*w = 2*n, -2*n - 2*w + 2 = -3*n. Let t = 5 - n. Let r be 2 + (0 - t) + -2. Solve 4*k + r + 7 = 0, 4*f - k - 22 = 0 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence djd when three letters picked without replacement from dajddmdamdam.\n' | b'1/66\n' | b'Calculate prob of sequence djd when three letters picked without replacement from dajddmdamdam.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let f(s) = -4*s + 5. Let r be f(-4). Suppose -2*x + 5*g - r = -0*x, 4*g = 5*x + 78. Let z be (-1)/(x/15 + 1). Let j(d) = -d**3 + 4*d**2 + 5*d + 1. Give j(z).\n' | b'1\n' | b'Let f(s) = -4*s + 5. Let r be f(-4). Suppose -2*x + 5*g - r = -0*x, 4*g = 5*x + 78. Let z be (-1)/(x/15 + 1). Let j(d) = -d**3 + 4*d**2 + 5*d + 1. Give j(z).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 212*q = 204*q + 40. Find the third derivative of -9*j**2 - 35*j**2 + 5*j**3 + 34*j**3 + 9*j**3 - q*j**3 wrt j.\n' | b'258\n' | b'Suppose 212*q = 204*q + 40. Find the third derivative of -9*j**2 - 35*j**2 + 5*j**3 + 34*j**3 + 9*j**3 - q*j**3 wrt j.\n' | b'258\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nhfnfzzznkknzhhhh. What is prob of sequence hfnn?\n' | b'1/476\n' | b'Four letters picked without replacement from nhfnfzzznkknzhhhh. What is prob of sequence hfnn?\n' | b'1/476\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddv when three letters picked without replacement from {v: 1, d: 4, g: 8, e: 5}.\n' | b'1/408\n' | b'Calculate prob of sequence ddv when three letters picked without replacement from {v: 1, d: 4, g: 8, e: 5}.\n' | b'1/408\n' | deepmind/math_dataset |
b'Let p(r) = 6*r**3 - 37*r**2 - r + 21. Let v(l) = 5*l**3 - 33*l**2 - 2*l + 24. Let z(n) = 6*p(n) - 7*v(n). What is z(-7)?\n' | b'0\n' | b'Let p(r) = 6*r**3 - 37*r**2 - r + 21. Let v(l) = 5*l**3 - 33*l**2 - 2*l + 24. Let z(n) = 6*p(n) - 7*v(n). What is z(-7)?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, m: 13, s: 1}. What is prob of picking 2 m?\n' | b'26/35\n' | b'Two letters picked without replacement from {e: 1, m: 13, s: 1}. What is prob of picking 2 m?\n' | b'26/35\n' | deepmind/math_dataset |
b'Let o(t) = 5*t - 2*t - 4 - 4*t. Let c(y) = 14*y - 172. Let k be c(10). Let j be ((-304)/26)/(-2) + k/(-208). What is o(j)?\n' | b'-10\n' | b'Let o(t) = 5*t - 2*t - 4 - 4*t. Let c(y) = 14*y - 172. Let k be c(10). Let j be ((-304)/26)/(-2) + k/(-208). What is o(j)?\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z and 1 a when three letters picked without replacement from xzjzxaxazza.\n' | b'6/55\n' | b'Calculate prob of picking 2 z and 1 a when three letters picked without replacement from xzjzxaxazza.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let p = 131/6 + -49/3. Let m(d) be the second derivative of 2/3*d**3 + 0 + p*d**2 + 11*d. Differentiate m(i) with respect to i.\n' | b'4\n' | b'Let p = 131/6 + -49/3. Let m(d) be the second derivative of 2/3*d**3 + 0 + p*d**2 + 11*d. Differentiate m(i) with respect to i.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oaddududrrrdrdrdudo. What is prob of picking 3 o?\n' | b'0\n' | b'Three letters picked without replacement from oaddududrrrdrdrdudo. What is prob of picking 3 o?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 3 g when four letters picked without replacement from {p: 1, i: 5, x: 3, g: 3}?\n' | b'1/165\n' | b'What is prob of picking 1 x and 3 g when four letters picked without replacement from {p: 1, i: 5, x: 3, g: 3}?\n' | b'1/165\n' | deepmind/math_dataset |
b'Let y(o) be the second derivative of o**5/30 + o**3/2 + o**2 - 4*o. Let t(x) be the first derivative of y(x). Differentiate t(g) with respect to g.\n' | b'4*g\n' | b'Let y(o) be the second derivative of o**5/30 + o**3/2 + o**2 - 4*o. Let t(x) be the first derivative of y(x). Differentiate t(g) with respect to g.\n' | b'4*g\n' | deepmind/math_dataset |
b'Let d be (8/(-16))/((-1)/4). Solve g + 4*s = -d, -3*g - 4*s + 2*s + 4 = 0 for g.\n' | b'2\n' | b'Let d be (8/(-16))/((-1)/4). Solve g + 4*s = -d, -3*g - 4*s + 2*s + 4 = 0 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jgkgjkqkeg. What is prob of picking 2 g?\n' | b'1/15\n' | b'Two letters picked without replacement from jgkgjkqkeg. What is prob of picking 2 g?\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify ((j*j**(1/4)*j)**(-19))**(-33/7) assuming j is positive.\n' | b'j**(5643/28)\n' | b'Simplify ((j*j**(1/4)*j)**(-19))**(-33/7) assuming j is positive.\n' | b'j**(5643/28)\n' | deepmind/math_dataset |
b'Suppose -5*s + 0 = -20, 5*j = -4*s + 31. Suppose j*t - 20 = 7*t. Let k(r) = -11*r - 7. Let x(i) = 5*i + 4. Let o(a) = 4*k(a) + 9*x(a). Calculate o(t).\n' | b'3\n' | b'Suppose -5*s + 0 = -20, 5*j = -4*s + 31. Suppose j*t - 20 = 7*t. Let k(r) = -11*r - 7. Let x(i) = 5*i + 4. Let o(a) = 4*k(a) + 9*x(a). Calculate o(t).\n' | b'3\n' | deepmind/math_dataset |
b'Let q = 19 + -16. Let p(z) = 3*z + 17*z**2 - 36*z**2 + 20*z**2 + 0*z**3 - z**q. Give p(3).\n' | b'-9\n' | b'Let q = 19 + -16. Let p(z) = 3*z + 17*z**2 - 36*z**2 + 20*z**2 + 0*z**3 - z**q. Give p(3).\n' | b'-9\n' | deepmind/math_dataset |
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