question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let f(m) be the third derivative of -m**6/30 - m**5/3 + 5*m**4/3 - 8*m**2 - 2. What is the second derivative of f(g) wrt g?\n' | b'-24*g - 40\n' | b'Let f(m) be the third derivative of -m**6/30 - m**5/3 + 5*m**4/3 - 8*m**2 - 2. What is the second derivative of f(g) wrt g?\n' | b'-24*g - 40\n' | deepmind/math_dataset |
b'Let b(j) = 3*j**2 + 2*j - 3. Let y be b(-2). Solve 2*v + a = -7, -a = 2*v - v + y for v.\n' | b'-2\n' | b'Let b(j) = 3*j**2 + 2*j - 3. Let y be b(-2). Solve 2*v + a = -7, -a = 2*v - v + y for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yyyyyyypyyyyppyy. Give prob of sequence ypyp.\n' | b'3/140\n' | b'Four letters picked without replacement from yyyyyyypyyyyppyy. Give prob of sequence ypyp.\n' | b'3/140\n' | deepmind/math_dataset |
b'Simplify ((z**1)**10)**(2/5)/(((z**(-5)/z)/(z/(z*z**(-7)*z)))/((z**2*z)/((z**6/z*z)/z))) assuming z is positive.\n' | b'z**14\n' | b'Simplify ((z**1)**10)**(2/5)/(((z**(-5)/z)/(z/(z*z**(-7)*z)))/((z**2*z)/((z**6/z*z)/z))) assuming z is positive.\n' | b'z**14\n' | deepmind/math_dataset |
b'Suppose -4*p = 4*c - 17 + 1, -5*c + 10 = 0. Find the third derivative of 25*l**5 - 5*l**5 + 4*l + 2*l**p - 47*l**5 - l - l**3 wrt l.\n' | b'-1620*l**2 - 6\n' | b'Suppose -4*p = 4*c - 17 + 1, -5*c + 10 = 0. Find the third derivative of 25*l**5 - 5*l**5 + 4*l + 2*l**p - 47*l**5 - l - l**3 wrt l.\n' | b'-1620*l**2 - 6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gbffbggorfgfgfga. Give prob of picking 1 a, 1 r, and 1 b.\n' | b'1/280\n' | b'Three letters picked without replacement from gbffbggorfgfgfga. Give prob of picking 1 a, 1 r, and 1 b.\n' | b'1/280\n' | deepmind/math_dataset |
b'Find the first derivative of -49*j + 25*j - 85*j + 5824 + 25*j - 24*j wrt j.\n' | b'-108\n' | b'Find the first derivative of -49*j + 25*j - 85*j + 5824 + 25*j - 24*j wrt j.\n' | b'-108\n' | deepmind/math_dataset |
b'Simplify ((w*w**(-4))/(w/(w*w**11*w))*((w**(-4/19)*w*w)/w)/(w*w**0*w))**(9/5) assuming w is positive.\n' | b'w**(1332/95)\n' | b'Simplify ((w*w**(-4))/(w/(w*w**11*w))*((w**(-4/19)*w*w)/w)/(w*w**0*w))**(9/5) assuming w is positive.\n' | b'w**(1332/95)\n' | deepmind/math_dataset |
b'Let n be -6 + (1 - 1 - 0). Let x be 10/n*(-24)/8. Suppose -x*o + 2 = 17. Let j(h) = -h. Calculate j(o).\n' | b'3\n' | b'Let n be -6 + (1 - 1 - 0). Let x be 10/n*(-24)/8. Suppose -x*o + 2 = 17. Let j(h) = -h. Calculate j(o).\n' | b'3\n' | deepmind/math_dataset |
b'What is the third derivative of -39*c**2 + 3 - 6*c**6 + 28*c**2 - 3 wrt c?\n' | b'-720*c**3\n' | b'What is the third derivative of -39*c**2 + 3 - 6*c**6 + 28*c**2 - 3 wrt c?\n' | b'-720*c**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gdyyyqlyy. Give prob of picking 1 q, 1 d, and 1 g.\n' | b'1/84\n' | b'Three letters picked without replacement from gdyyyqlyy. Give prob of picking 1 q, 1 d, and 1 g.\n' | b'1/84\n' | deepmind/math_dataset |
b'Suppose 6*f = 12*f + 12. Let h(t) = 21*t**4 - 43*t**2. Let d(b) = 85*b**4 - 173*b**2. Let w(s) = f*d(s) + 9*h(s). Find the third derivative of w(z) wrt z.\n' | b'456*z\n' | b'Suppose 6*f = 12*f + 12. Let h(t) = 21*t**4 - 43*t**2. Let d(b) = 85*b**4 - 173*b**2. Let w(s) = f*d(s) + 9*h(s). Find the third derivative of w(z) wrt z.\n' | b'456*z\n' | deepmind/math_dataset |
b'Simplify (b/((b/(b*b**(1/3)))/b)*b)**(-6/17)/((b*b*b*b*b**(-4/9)*b*b)/b)**(-7/4) assuming b is positive.\n' | b'b**(4159/612)\n' | b'Simplify (b/((b/(b*b**(1/3)))/b)*b)**(-6/17)/((b*b*b*b*b**(-4/9)*b*b)/b)**(-7/4) assuming b is positive.\n' | b'b**(4159/612)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqqqqqqqqfqq. What is prob of picking 1 q and 1 f?\n' | b'1/6\n' | b'Two letters picked without replacement from qqqqqqqqqfqq. What is prob of picking 1 q and 1 f?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let o(s) be the third derivative of -s**5/60 + s**4/8 - 141*s**2 + 9. Give o(-3).\n' | b'-18\n' | b'Let o(s) be the third derivative of -s**5/60 + s**4/8 - 141*s**2 + 9. Give o(-3).\n' | b'-18\n' | deepmind/math_dataset |
b'Let c(m) = 3*m + 11. Let a be (1 - -1)*35/20*(-6)/7. Give c(a).\n' | b'2\n' | b'Let c(m) = 3*m + 11. Let a be (1 - -1)*35/20*(-6)/7. Give c(a).\n' | b'2\n' | deepmind/math_dataset |
b'Let w(k) = -5*k. Let j = -1338 + 1340. Give w(j).\n' | b'-10\n' | b'Let w(k) = -5*k. Let j = -1338 + 1340. Give w(j).\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of picking 2 q and 2 v when four letters picked without replacement from vivixkqqiqii?\n' | b'1/165\n' | b'What is prob of picking 2 q and 2 v when four letters picked without replacement from vivixkqqiqii?\n' | b'1/165\n' | deepmind/math_dataset |
b'Calculate prob of sequence ov when two letters picked without replacement from ovioieoieioieiiveii.\n' | b'4/171\n' | b'Calculate prob of sequence ov when two letters picked without replacement from ovioieoieioieiiveii.\n' | b'4/171\n' | deepmind/math_dataset |
b'What is prob of sequence wkzl when four letters picked without replacement from wbjzjbwzbklk?\n' | b'1/1485\n' | b'What is prob of sequence wkzl when four letters picked without replacement from wbjzjbwzbklk?\n' | b'1/1485\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {m: 1, t: 1, g: 1, a: 1, n: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {m: 1, t: 1, g: 1, a: 1, n: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify m**(-4)/(m**(-4/3)/m)*m**4*m**(5/3)*m assuming m is positive.\n' | b'm**5\n' | b'Simplify m**(-4)/(m**(-4/3)/m)*m**4*m**(5/3)*m assuming m is positive.\n' | b'm**5\n' | deepmind/math_dataset |
b'Let q(o) = o**2 - 5*o + 14. Let z be q(4). Let b be (0/1 + -2)*14/(-4). Suppose -7*g = -3*g - 20. Solve 0 = 5*v - g*s + z, -v - b = 4*s + 5 for v.\n' | b'-4\n' | b'Let q(o) = o**2 - 5*o + 14. Let z be q(4). Let b be (0/1 + -2)*14/(-4). Suppose -7*g = -3*g - 20. Solve 0 = 5*v - g*s + z, -v - b = 4*s + 5 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (k**(3/4))**(-37)*((k/(k/k**(12/7)))/k)/(k*k**(3/7)*k) assuming k is positive.\n' | b'k**(-825/28)\n' | b'Simplify (k**(3/4))**(-37)*((k/(k/k**(12/7)))/k)/(k*k**(3/7)*k) assuming k is positive.\n' | b'k**(-825/28)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i and 1 y when four letters picked without replacement from iyniinim.\n' | b'2/35\n' | b'Calculate prob of picking 3 i and 1 y when four letters picked without replacement from iyniinim.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let w(a) be the second derivative of a**5/20 + a**4/2 - 3*a**3/2 - 5*a**2 + 3*a. Let g be w(-7). Solve g*r + t + 17 = 0, -10 - 8 = 4*r + 2*t for r.\n' | b'-4\n' | b'Let w(a) be the second derivative of a**5/20 + a**4/2 - 3*a**3/2 - 5*a**2 + 3*a. Let g be w(-7). Solve g*r + t + 17 = 0, -10 - 8 = 4*r + 2*t for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence bl when two letters picked without replacement from {l: 2, b: 4}.\n' | b'4/15\n' | b'Calculate prob of sequence bl when two letters picked without replacement from {l: 2, b: 4}.\n' | b'4/15\n' | deepmind/math_dataset |
b'Let v = 18 - 26. Let c(n) = -1 + 6 - 3 - 7 + n. Let w(z) = 5*z - 26. Let r(i) = -11*c(i) + 2*w(i). Calculate r(v).\n' | b'11\n' | b'Let v = 18 - 26. Let c(n) = -1 + 6 - 3 - 7 + n. Let w(z) = 5*z - 26. Let r(i) = -11*c(i) + 2*w(i). Calculate r(v).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose -42*f = -34*f + 48. Let j(g) = 2*g**2 - g - 1. Let x(t) = 11*t**2 - 11*t - 3. Let h(q) = f*j(q) + x(q). What is h(-4)?\n' | b'7\n' | b'Suppose -42*f = -34*f + 48. Let j(g) = 2*g**2 - g - 1. Let x(t) = 11*t**2 - 11*t - 3. Let h(q) = f*j(q) + x(q). What is h(-4)?\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 a when three letters picked without replacement from {e: 3, c: 5, r: 2, a: 3}.\n' | b'3/143\n' | b'Calculate prob of picking 1 r and 2 a when three letters picked without replacement from {e: 3, c: 5, r: 2, a: 3}.\n' | b'3/143\n' | deepmind/math_dataset |
b'What is prob of picking 2 z and 1 n when three letters picked without replacement from rxnbrxzzrbzzrxxzbo?\n' | b'5/408\n' | b'What is prob of picking 2 z and 1 n when three letters picked without replacement from rxnbrxzzrbzzrxxzbo?\n' | b'5/408\n' | deepmind/math_dataset |
b'Simplify (j/((j**2/j)/j*j))**6/(j**(2/27)*j/j**9) assuming j is positive.\n' | b'j**(214/27)\n' | b'Simplify (j/((j**2/j)/j*j))**6/(j**(2/27)*j/j**9) assuming j is positive.\n' | b'j**(214/27)\n' | deepmind/math_dataset |
b'Let b(m) = -3311*m**2 - 5289*m - 28. Let a(h) = 9935*h**2 + 15865*h + 98. Let d(u) = 4*a(u) + 14*b(u). What is the second derivative of d(k) wrt k?\n' | b'-13228\n' | b'Let b(m) = -3311*m**2 - 5289*m - 28. Let a(h) = 9935*h**2 + 15865*h + 98. Let d(u) = 4*a(u) + 14*b(u). What is the second derivative of d(k) wrt k?\n' | b'-13228\n' | deepmind/math_dataset |
b'Let o be 105 - 2 - (6 + -10). Suppose b - o = -21. Let d = -91 + b. Let a(q) = q**2 - 3. Determine a(d).\n' | b'22\n' | b'Let o be 105 - 2 - (6 + -10). Suppose b - o = -21. Let d = -91 + b. Let a(q) = q**2 - 3. Determine a(d).\n' | b'22\n' | deepmind/math_dataset |
b'Calculate prob of sequence mze when three letters picked without replacement from {m: 1, u: 2, z: 1, x: 2, e: 1}.\n' | b'1/210\n' | b'Calculate prob of sequence mze when three letters picked without replacement from {m: 1, u: 2, z: 1, x: 2, e: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Suppose -4*m + 29 = -63. Let n = m - 26. Let i(f) = 3*f**2 + 7*f + 6. Let x be i(n). Solve -d = 3*t - 0*d - 12, 0 = -4*d - x for t.\n' | b'5\n' | b'Suppose -4*m + 29 = -63. Let n = m - 26. Let i(f) = 3*f**2 + 7*f + 6. Let x be i(n). Solve -d = 3*t - 0*d - 12, 0 = -4*d - x for t.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (k**6/k*k**(-1))**28*(k/((k**(2/7)/k)/k))**24/(k**1*k*k**(-1/2)) assuming k is positive.\n' | b'k**(2459/14)\n' | b'Simplify (k**6/k*k**(-1))**28*(k/((k**(2/7)/k)/k))**24/(k**1*k*k**(-1/2)) assuming k is positive.\n' | b'k**(2459/14)\n' | deepmind/math_dataset |
b'Suppose h = -p - h, 4*p = h. Let v be p - ((-10)/2 + 1). What is the second derivative of 2*s + s**4 + s + s**v wrt s?\n' | b'24*s**2\n' | b'Suppose h = -p - h, 4*p = h. Let v be p - ((-10)/2 + 1). What is the second derivative of 2*s + s**4 + s + s**v wrt s?\n' | b'24*s**2\n' | deepmind/math_dataset |
b'Simplify (((g*((g*g*g**(2/5)*g*g*g)/g)/g)/g)**(-2/17)/(g**(1/10)*g*g*g**2))**(-2/7) assuming g is positive.\n' | b'g**(9/7)\n' | b'Simplify (((g*((g*g*g**(2/5)*g*g*g)/g)/g)/g)**(-2/17)/(g**(1/10)*g*g*g**2))**(-2/7) assuming g is positive.\n' | b'g**(9/7)\n' | deepmind/math_dataset |
b'What is prob of sequence yypp when four letters picked without replacement from pwyyp?\n' | b'1/30\n' | b'What is prob of sequence yypp when four letters picked without replacement from pwyyp?\n' | b'1/30\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 7, h: 2, i: 4}. What is prob of picking 4 d?\n' | b'7/143\n' | b'Four letters picked without replacement from {d: 7, h: 2, i: 4}. What is prob of picking 4 d?\n' | b'7/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {o: 3, p: 3, i: 1, n: 2, l: 1}.\n' | b'1/40\n' | b'Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {o: 3, p: 3, i: 1, n: 2, l: 1}.\n' | b'1/40\n' | deepmind/math_dataset |
b'Simplify (j/(j/(j/j**(-1/4)))*j*j)**(-7/3)*(j/j**(-2/7))**(14/5)*(j**(-1))**20/((j**(1/3)/j)/j**7) assuming j is positive.\n' | b'j**(-979/60)\n' | b'Simplify (j/(j/(j/j**(-1/4)))*j*j)**(-7/3)*(j/j**(-2/7))**(14/5)*(j**(-1))**20/((j**(1/3)/j)/j**7) assuming j is positive.\n' | b'j**(-979/60)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from msmksmms. Give prob of picking 2 m.\n' | b'3/14\n' | b'Two letters picked without replacement from msmksmms. Give prob of picking 2 m.\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify ((i*i**(-1))/((i*i/(i**(-2)/i*i))/i))/(i**(1/2)*i/((i/(((i**1*i)/i)/i*i))/i*i)) assuming i is positive.\n' | b'i**(-9/2)\n' | b'Simplify ((i*i**(-1))/((i*i/(i**(-2)/i*i))/i))/(i**(1/2)*i/((i/(((i**1*i)/i)/i*i))/i*i)) assuming i is positive.\n' | b'i**(-9/2)\n' | deepmind/math_dataset |
b'Let o(b) = 7*b**2 + b + 2. Let r(a) = 3*a**2 + 1. Let z(q) = 2*o(q) - 3*r(q). Calculate z(-1).\n' | b'4\n' | b'Let o(b) = 7*b**2 + b + 2. Let r(a) = 3*a**2 + 1. Let z(q) = 2*o(q) - 3*r(q). Calculate z(-1).\n' | b'4\n' | deepmind/math_dataset |
b'Let l(o) = o - 16. Let d(y) be the second derivative of y**3/6 - 3*y**2/2 + 85*y. Let s(c) = -5*d(c) + l(c). What is s(-2)?\n' | b'7\n' | b'Let l(o) = o - 16. Let d(y) be the second derivative of y**3/6 - 3*y**2/2 + 85*y. Let s(c) = -5*d(c) + l(c). What is s(-2)?\n' | b'7\n' | deepmind/math_dataset |
b'Suppose -2*y + 128 - 139 = d, 5*y = -3*d - 26. Let v(p) = p**3 + 8*p**2 + 11*p + 14. Determine v(y).\n' | b'-14\n' | b'Suppose -2*y + 128 - 139 = d, 5*y = -3*d - 26. Let v(p) = p**3 + 8*p**2 + 11*p + 14. Determine v(y).\n' | b'-14\n' | deepmind/math_dataset |
b'Let s = -231 + 239. Solve -3*r + s*r = -3*x - 15, 2*r = 3*x + 15 for x.\n' | b'-5\n' | b'Let s = -231 + 239. Solve -3*r + s*r = -3*x - 15, 2*r = 3*x + 15 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = 2*n + 2 - 10. Suppose -q + 3*q - n = 0. Find the first derivative of -t**2 - 4*t**2 + 3*t**q - 2 wrt t.\n' | b'-4*t\n' | b'Suppose 0 = 2*n + 2 - 10. Suppose -q + 3*q - n = 0. Find the first derivative of -t**2 - 4*t**2 + 3*t**q - 2 wrt t.\n' | b'-4*t\n' | deepmind/math_dataset |
b'Simplify k/k**(-2/73)*k/k**(-7) assuming k is positive.\n' | b'k**(659/73)\n' | b'Simplify k/k**(-2/73)*k/k**(-7) assuming k is positive.\n' | b'k**(659/73)\n' | deepmind/math_dataset |
b'Let g(f) = 13*f**3 - 94*f**2 + 149. Let m(k) = -7*k**3 + 47*k**2 - 75. Let o(h) = 6*g(h) + 11*m(h). Differentiate o(s) with respect to s.\n' | b'3*s**2 - 94*s\n' | b'Let g(f) = 13*f**3 - 94*f**2 + 149. Let m(k) = -7*k**3 + 47*k**2 - 75. Let o(h) = 6*g(h) + 11*m(h). Differentiate o(s) with respect to s.\n' | b'3*s**2 - 94*s\n' | deepmind/math_dataset |
b'Let s(n) = -8*n - 557. Let x be s(-70). Solve 0 = -r - j, 4*j = x*r + 14 - 7 for r.\n' | b'-1\n' | b'Let s(n) = -8*n - 557. Let x be s(-70). Solve 0 = -r - j, 4*j = x*r + 14 - 7 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((n**(5/3))**(-26/5))**(-15))**10 assuming n is positive.\n' | b'n**1300\n' | b'Simplify (((n**(5/3))**(-26/5))**(-15))**10 assuming n is positive.\n' | b'n**1300\n' | deepmind/math_dataset |
b'What is prob of sequence wgl when three letters picked without replacement from wgiggwl?\n' | b'1/35\n' | b'What is prob of sequence wgl when three letters picked without replacement from wgiggwl?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let r = 635 + -631. Solve 0 = r*a - 12, a - 9 = -3*j + j for j.\n' | b'3\n' | b'Let r = 635 + -631. Solve 0 = r*a - 12, a - 9 = -3*j + j for j.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(z) be the second derivative of 2*z**7/21 - 5*z**3/3 + 12*z. What is the second derivative of x(d) wrt d?\n' | b'80*d**3\n' | b'Let x(z) be the second derivative of 2*z**7/21 - 5*z**3/3 + 12*z. What is the second derivative of x(d) wrt d?\n' | b'80*d**3\n' | deepmind/math_dataset |
b'Let u(g) be the third derivative of 0 + 1/20*g**5 + 0*g**4 + 1/3*g**6 + 0*g**3 + 0*g - 7*g**2. Find the third derivative of u(m) wrt m.\n' | b'240\n' | b'Let u(g) be the third derivative of 0 + 1/20*g**5 + 0*g**4 + 1/3*g**6 + 0*g**3 + 0*g - 7*g**2. Find the third derivative of u(m) wrt m.\n' | b'240\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, s: 1, o: 2, w: 1, d: 2}. Give prob of picking 1 w, 1 r, and 2 o.\n' | b'1/35\n' | b'Four letters picked without replacement from {r: 1, s: 1, o: 2, w: 1, d: 2}. Give prob of picking 1 w, 1 r, and 2 o.\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of sequence qegj when four letters picked without replacement from {q: 1, j: 9, g: 1, e: 2}?\n' | b'3/2860\n' | b'What is prob of sequence qegj when four letters picked without replacement from {q: 1, j: 9, g: 1, e: 2}?\n' | b'3/2860\n' | deepmind/math_dataset |
b'What is prob of picking 4 q when four letters picked without replacement from {e: 11, q: 4, u: 1, a: 3}?\n' | b'1/3876\n' | b'What is prob of picking 4 q when four letters picked without replacement from {e: 11, q: 4, u: 1, a: 3}?\n' | b'1/3876\n' | deepmind/math_dataset |
b'Let x(k) = k**3 - 8*k**2 + 4*k - 21. Let o be x(8). Suppose -2*z + o*z = 0. Solve 3*w - 4 = -5*y, z = 3*w + y + 4 - 0 for w.\n' | b'-2\n' | b'Let x(k) = k**3 - 8*k**2 + 4*k - 21. Let o be x(8). Suppose -2*z + o*z = 0. Solve 3*w - 4 = -5*y, z = 3*w + y + 4 - 0 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 4, t: 5, h: 1, i: 1, y: 3}. What is prob of sequence it?\n' | b'5/182\n' | b'Two letters picked without replacement from {n: 4, t: 5, h: 1, i: 1, y: 3}. What is prob of sequence it?\n' | b'5/182\n' | deepmind/math_dataset |
b'Simplify (((i/(i*i**(1/2))*i*i)/i)/((i/i**(-16))/i)*(i*i**(-3/5)*i)/((i*i**10)/i))**(-2/3) assuming i is positive.\n' | b'i**(241/15)\n' | b'Simplify (((i/(i*i**(1/2))*i*i)/i)/((i/i**(-16))/i)*(i*i**(-3/5)*i)/((i*i**10)/i))**(-2/3) assuming i is positive.\n' | b'i**(241/15)\n' | deepmind/math_dataset |
b'Let z(r) = 3*r**3 + 4*r**2 + 1. Let f(i) = -4*i**3 - 3*i**2 - 1. Let h(v) = -4*f(v) - 3*z(v). What is h(1)?\n' | b'8\n' | b'Let z(r) = 3*r**3 + 4*r**2 + 1. Let f(i) = -4*i**3 - 3*i**2 - 1. Let h(v) = -4*f(v) - 3*z(v). What is h(1)?\n' | b'8\n' | deepmind/math_dataset |
b'Let s = 4 + 0. Suppose 0*m - 2*m = 2*i - 18, -s*m = -i - 21. Find the first derivative of 4*f**3 - 4 - m*f**3 + 1 wrt f.\n' | b'-6*f**2\n' | b'Let s = 4 + 0. Suppose 0*m - 2*m = 2*i - 18, -s*m = -i - 21. Find the first derivative of 4*f**3 - 4 - m*f**3 + 1 wrt f.\n' | b'-6*f**2\n' | deepmind/math_dataset |
b'Let u(d) = 7*d - 55*d**2 + 53*d**2 - 29 + 36. Let z be u(4). Solve 3*h = 4*c - h, 5*c = z*h - 4 for c.\n' | b'-2\n' | b'Let u(d) = 7*d - 55*d**2 + 53*d**2 - 29 + 36. Let z be u(4). Solve 3*h = 4*c - h, 5*c = z*h - 4 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'What is the second derivative of -14*y + 13*y**4 + 18*y**4 - 59*y**4 wrt y?\n' | b'-336*y**2\n' | b'What is the second derivative of -14*y + 13*y**4 + 18*y**4 - 59*y**4 wrt y?\n' | b'-336*y**2\n' | deepmind/math_dataset |
b'What is prob of sequence vq when two letters picked without replacement from {q: 3, c: 1, v: 1}?\n' | b'3/20\n' | b'What is prob of sequence vq when two letters picked without replacement from {q: 3, c: 1, v: 1}?\n' | b'3/20\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 u when two letters picked without replacement from {p: 3, y: 3, w: 1, u: 4, d: 1, m: 3}?\n' | b'4/105\n' | b'What is prob of picking 1 w and 1 u when two letters picked without replacement from {p: 3, y: 3, w: 1, u: 4, d: 1, m: 3}?\n' | b'4/105\n' | deepmind/math_dataset |
b'Simplify (a**(-1/2)/a**(18/7))/((a**(-1)*a)/a**(4/7)) assuming a is positive.\n' | b'a**(-5/2)\n' | b'Simplify (a**(-1/2)/a**(18/7))/((a**(-1)*a)/a**(4/7)) assuming a is positive.\n' | b'a**(-5/2)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 1, u: 2, v: 1, e: 1, t: 4}. Give prob of picking 1 n, 2 e, and 1 v.\n' | b'0\n' | b'Four letters picked without replacement from {n: 1, u: 2, v: 1, e: 1, t: 4}. Give prob of picking 1 n, 2 e, and 1 v.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence pppp when four letters picked without replacement from {p: 12, x: 6}?\n' | b'11/68\n' | b'What is prob of sequence pppp when four letters picked without replacement from {p: 12, x: 6}?\n' | b'11/68\n' | deepmind/math_dataset |
b'Simplify x**0*x*x**(-2/5)*x**(3/7)/(x**6/x)*(((x*x*x*((x/x**(-3/2))/x*x)/x*x*x)/x)/x*x**(-3)/x*x*x)**(-9/2) assuming x is positive.\n' | b'x**(-2131/140)\n' | b'Simplify x**0*x*x**(-2/5)*x**(3/7)/(x**6/x)*(((x*x*x*((x/x**(-3/2))/x*x)/x*x*x)/x)/x*x**(-3)/x*x*x)**(-9/2) assuming x is positive.\n' | b'x**(-2131/140)\n' | deepmind/math_dataset |
b'Let m(r) = -378*r**2 + 369*r**2 - 9*r - 2*r**3 - 2*r**3 + 3*r**3 - 15. What is m(-8)?\n' | b'-7\n' | b'Let m(r) = -378*r**2 + 369*r**2 - 9*r - 2*r**3 - 2*r**3 + 3*r**3 - 15. What is m(-8)?\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 30*x - 799 + 169 = 0. Solve -4*h = 3*i, 0 = 3*i + 8*h - 11*h - x for i.\n' | b'4\n' | b'Suppose 30*x - 799 + 169 = 0. Solve -4*h = 3*i, 0 = 3*i + 8*h - 11*h - x for i.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 u when three letters picked without replacement from uurruuuuuuuuurruuur.\n' | b'455/969\n' | b'Calculate prob of picking 1 r and 2 u when three letters picked without replacement from uurruuuuuuuuurruuur.\n' | b'455/969\n' | deepmind/math_dataset |
b'What is prob of sequence mu when two letters picked without replacement from {j: 6, m: 1, u: 8}?\n' | b'4/105\n' | b'What is prob of sequence mu when two letters picked without replacement from {j: 6, m: 1, u: 8}?\n' | b'4/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, a: 2, x: 1}. What is prob of picking 4 x?\n' | b'0\n' | b'Four letters picked without replacement from {y: 2, a: 2, x: 1}. What is prob of picking 4 x?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = t - 1. Let u(b) = -b**3 - 3*b**2 + 4*b + 1. Let l be u(-4). Let f be t + l - (-1 - -1). Solve -5*c + 13 = f*g, 7 - 18 = -3*c + 2*g for c.\n' | b'3\n' | b'Suppose 0 = t - 1. Let u(b) = -b**3 - 3*b**2 + 4*b + 1. Let l be u(-4). Let f be t + l - (-1 - -1). Solve -5*c + 13 = f*g, 7 - 18 = -3*c + 2*g for c.\n' | b'3\n' | deepmind/math_dataset |
b'Let c(o) = -o**3 + o**2 - o - 1. Suppose 0 = 16*n - 23*n. Determine c(n).\n' | b'-1\n' | b'Let c(o) = -o**3 + o**2 - o - 1. Suppose 0 = 16*n - 23*n. Determine c(n).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 4, f: 1, d: 2, x: 2, c: 3}. What is prob of sequence cxd?\n' | b'1/110\n' | b'Three letters picked without replacement from {o: 4, f: 1, d: 2, x: 2, c: 3}. What is prob of sequence cxd?\n' | b'1/110\n' | deepmind/math_dataset |
b'Simplify (u**(1/34)/(u**(-30)/u))/(u**(-1/3))**22 assuming u is positive.\n' | b'u**(3913/102)\n' | b'Simplify (u**(1/34)/(u**(-30)/u))/(u**(-1/3))**22 assuming u is positive.\n' | b'u**(3913/102)\n' | deepmind/math_dataset |
b'Simplify (v**(1/2)*v**(-5))**(-7/13) assuming v is positive.\n' | b'v**(63/26)\n' | b'Simplify (v**(1/2)*v**(-5))**(-7/13) assuming v is positive.\n' | b'v**(63/26)\n' | deepmind/math_dataset |
b'Suppose 6 = 5*f - 9. Let v = 7 - -6. Let k = v + -7. Solve f = -2*a + 4*a + q, 2*q - k = -5*a for a.\n' | b'0\n' | b'Suppose 6 = 5*f - 9. Let v = 7 - -6. Let k = v + -7. Solve f = -2*a + 4*a + q, 2*q - k = -5*a for a.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (y**(-17/2)/(y/y**14*y))**(1/20) assuming y is positive.\n' | b'y**(7/40)\n' | b'Simplify (y**(-17/2)/(y/y**14*y))**(1/20) assuming y is positive.\n' | b'y**(7/40)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkokoddko. What is prob of picking 4 k?\n' | b'1/126\n' | b'Four letters picked without replacement from kkokoddko. What is prob of picking 4 k?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let t be 3/(-24)*-30 - 1/(-4). Suppose t*b - 13 - 11 = 0. Let w(y) = y + 1. Let h(d) = -6. Let o(a) = -h(a) + w(a). Give o(b).\n' | b'13\n' | b'Let t be 3/(-24)*-30 - 1/(-4). Suppose t*b - 13 - 11 = 0. Let w(y) = y + 1. Let h(d) = -6. Let o(a) = -h(a) + w(a). Give o(b).\n' | b'13\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qjqjqqj. Give prob of sequence qjq.\n' | b'6/35\n' | b'Three letters picked without replacement from qjqjqqj. Give prob of sequence qjq.\n' | b'6/35\n' | deepmind/math_dataset |
b'Simplify ((c/(c*(c/c**(-2/3))/c*c))/(c**3/c*c*c))/((c*c**(-1/2))/(c*c**7))*c**(-4)*c*c**8*c*c**4/(c/(c*c*c/(c**(-2/17)*c)*c*c)) assuming c is positive.\n' | b'c**(1525/102)\n' | b'Simplify ((c/(c*(c/c**(-2/3))/c*c))/(c**3/c*c*c))/((c*c**(-1/2))/(c*c**7))*c**(-4)*c*c**8*c*c**4/(c/(c*c*c/(c**(-2/17)*c)*c*c)) assuming c is positive.\n' | b'c**(1525/102)\n' | deepmind/math_dataset |
b'Let z be 1/(-7) - 86/(-14). Let y(o) = o**2 - 8*o + 9. Determine y(z).\n' | b'-3\n' | b'Let z be 1/(-7) - 86/(-14). Let y(o) = o**2 - 8*o + 9. Determine y(z).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 7, k: 2, o: 1, w: 2}. What is prob of picking 2 k?\n' | b'1/66\n' | b'Two letters picked without replacement from {s: 7, k: 2, o: 1, w: 2}. What is prob of picking 2 k?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let o(t) = -t**2 - 13*t - 8. Suppose -238 = 20*l - 18. Calculate o(l).\n' | b'14\n' | b'Let o(t) = -t**2 - 13*t - 8. Suppose -238 = 20*l - 18. Calculate o(l).\n' | b'14\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from gegegee.\n' | b'1/7\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from gegegee.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let h be ((-21)/(-24) - 1)*-38 - (-85)/340. Solve -h*r - x = -19, 3*r + 3*x + 38 = 7*r for r.\n' | b'5\n' | b'Let h be ((-21)/(-24) - 1)*-38 - (-85)/340. Solve -h*r - x = -19, 3*r + 3*x + 38 = 7*r for r.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((m**(2/7)/m)**(-5))**(-1/13))**(1/24) assuming m is positive.\n' | b'm**(-25/2184)\n' | b'Simplify (((m**(2/7)/m)**(-5))**(-1/13))**(1/24) assuming m is positive.\n' | b'm**(-25/2184)\n' | deepmind/math_dataset |
b'Suppose -3*s - 4 = -4*s. Let c(a) = a**3 - 9*a**2 + 2*a - 8. Let k be c(9). What is the first derivative of -7*y**4 - 1 - 9*y**4 + 15*y**s - k wrt y?\n' | b'-4*y**3\n' | b'Suppose -3*s - 4 = -4*s. Let c(a) = a**3 - 9*a**2 + 2*a - 8. Let k be c(9). What is the first derivative of -7*y**4 - 1 - 9*y**4 + 15*y**s - k wrt y?\n' | b'-4*y**3\n' | deepmind/math_dataset |
b'Let y be ((-22)/4 + 1)/(279/(-186)). Solve y*t + 37 = 5*l, -2*l + 5*t - 5 = -7*l for l.\n' | b'5\n' | b'Let y be ((-22)/4 + 1)/(279/(-186)). Solve y*t + 37 = 5*l, -2*l + 5*t - 5 = -7*l for l.\n' | b'5\n' | deepmind/math_dataset |
b'Let s(l) be the first derivative of -2*l**3/3 - 74*l**2 + 1632*l + 2093. Differentiate s(a) with respect to a.\n' | b'-4*a - 148\n' | b'Let s(l) be the first derivative of -2*l**3/3 - 74*l**2 + 1632*l + 2093. Differentiate s(a) with respect to a.\n' | b'-4*a - 148\n' | deepmind/math_dataset |
b'Let w(a) = -5*a**2 + 20*a - 78. Let x(n) = -4*n**2 + 18*n - 80. Let d(g) = -5*w(g) + 6*x(g). Calculate d(6).\n' | b'-6\n' | b'Let w(a) = -5*a**2 + 20*a - 78. Let x(n) = -4*n**2 + 18*n - 80. Let d(g) = -5*w(g) + 6*x(g). Calculate d(6).\n' | b'-6\n' | deepmind/math_dataset |
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