question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let b(s) be the second derivative of -22*s**2 + 0 + 57*s - 10/3*s**3. What is the first derivative of b(d) wrt d?\n' | b'-20\n' | b'Let b(s) be the second derivative of -22*s**2 + 0 + 57*s - 10/3*s**3. What is the first derivative of b(d) wrt d?\n' | b'-20\n' | deepmind/math_dataset |
b'Calculate prob of sequence vim when three letters picked without replacement from xvmximhio.\n' | b'1/126\n' | b'Calculate prob of sequence vim when three letters picked without replacement from xvmximhio.\n' | b'1/126\n' | deepmind/math_dataset |
b'Let x(s) = -4*s**5 - 56*s**2 + 4*s + 4. Let f(u) = -u**6 + 5*u**5 + 55*u**2 - 5*u - 5. Let y(t) = -4*f(t) - 5*x(t). Find the third derivative of y(c) wrt c.\n' | b'480*c**3\n' | b'Let x(s) = -4*s**5 - 56*s**2 + 4*s + 4. Let f(u) = -u**6 + 5*u**5 + 55*u**2 - 5*u - 5. Let y(t) = -4*f(t) - 5*x(t). Find the third derivative of y(c) wrt c.\n' | b'480*c**3\n' | deepmind/math_dataset |
b'Let x(u) = -8*u + 3. Let d(b) = -6. Let j(f) = f. Let o(i) = -d(i) - 15*j(i). Let r(m) = -6*o(m) + 11*x(m). What is r(-3)?\n' | b'-9\n' | b'Let x(u) = -8*u + 3. Let d(b) = -6. Let j(f) = f. Let o(i) = -d(i) - 15*j(i). Let r(m) = -6*o(m) + 11*x(m). What is r(-3)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let w(q) = q**2 + 4*q - 5. Suppose i = 5, u - 2*i = i + 42. Suppose u*k = 48*k - 36. Calculate w(k).\n' | b'-5\n' | b'Let w(q) = q**2 + 4*q - 5. Suppose i = 5, u - 2*i = i + 42. Suppose u*k = 48*k - 36. Calculate w(k).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence wqvw when four letters picked without replacement from wvwtwwdoqdqwq?\n' | b'1/286\n' | b'What is prob of sequence wqvw when four letters picked without replacement from wvwtwwdoqdqwq?\n' | b'1/286\n' | deepmind/math_dataset |
b'Simplify ((g/g**(-13/2))/g)/g**(-3)*g**8*g**(-3/11) assuming g is positive.\n' | b'g**(379/22)\n' | b'Simplify ((g/g**(-13/2))/g)/g**(-3)*g**8*g**(-3/11) assuming g is positive.\n' | b'g**(379/22)\n' | deepmind/math_dataset |
b'Let f(q) = q**3 + 17*q**2 - 20*q - 39. Let z be f(-18). Let d(c) = 19 - 2*c - 9 - 7. What is d(z)?\n' | b'9\n' | b'Let f(q) = q**3 + 17*q**2 - 20*q - 39. Let z be f(-18). Let d(c) = 19 - 2*c - 9 - 7. What is d(z)?\n' | b'9\n' | deepmind/math_dataset |
b'Let y(j) = -26*j**2 - 31. Suppose -28*h - 4 = -26*h. Let d(g) = 53*g**2 + 63. Let a(n) = h*d(n) - 5*y(n). What is the first derivative of a(x) wrt x?\n' | b'48*x\n' | b'Let y(j) = -26*j**2 - 31. Suppose -28*h - 4 = -26*h. Let d(g) = 53*g**2 + 63. Let a(n) = h*d(n) - 5*y(n). What is the first derivative of a(x) wrt x?\n' | b'48*x\n' | deepmind/math_dataset |
b'Find the second derivative of -6*g**2 + 29*g**2 - 7*g + 4*g**2 wrt g.\n' | b'54\n' | b'Find the second derivative of -6*g**2 + 29*g**2 - 7*g + 4*g**2 wrt g.\n' | b'54\n' | deepmind/math_dataset |
b'Suppose -5*q = -0*q - 25. Let r(c) = -1 - 7 + 4*c**3 - 7*c**3 - q*c**2 + 4*c + 2*c**3. Calculate r(-6).\n' | b'4\n' | b'Suppose -5*q = -0*q - 25. Let r(c) = -1 - 7 + 4*c**3 - 7*c**3 - q*c**2 + 4*c + 2*c**3. Calculate r(-6).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from znnzznzz?\n' | b'5/14\n' | b'What is prob of sequence zz when two letters picked without replacement from znnzznzz?\n' | b'5/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 2, v: 5, h: 4, m: 2, t: 1}. Give prob of sequence mmt.\n' | b'1/1092\n' | b'Three letters picked without replacement from {b: 2, v: 5, h: 4, m: 2, t: 1}. Give prob of sequence mmt.\n' | b'1/1092\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 1 q when three letters picked without replacement from {q: 1, e: 6, y: 2, c: 2, z: 3}.\n' | b'1/364\n' | b'Calculate prob of picking 2 c and 1 q when three letters picked without replacement from {q: 1, e: 6, y: 2, c: 2, z: 3}.\n' | b'1/364\n' | deepmind/math_dataset |
b'What is prob of sequence kxx when three letters picked without replacement from hwhwwxhxwwwwkwxwwxwx?\n' | b'1/342\n' | b'What is prob of sequence kxx when three letters picked without replacement from hwhwwxhxwwwwkwxwwxwx?\n' | b'1/342\n' | deepmind/math_dataset |
b'Simplify o**6*(o*o**11)/o*o assuming o is positive.\n' | b'o**18\n' | b'Simplify o**6*(o*o**11)/o*o assuming o is positive.\n' | b'o**18\n' | deepmind/math_dataset |
b'Calculate prob of sequence fllf when four letters picked without replacement from lfllllfflffl.\n' | b'7/99\n' | b'Calculate prob of sequence fllf when four letters picked without replacement from lfllllfflffl.\n' | b'7/99\n' | deepmind/math_dataset |
b'Simplify ((y**(-4/3)*y)/(((y/(y/y**6))/y)/y*y*y))/(y**(-2))**(-26) assuming y is positive.\n' | b'y**(-175/3)\n' | b'Simplify ((y**(-4/3)*y)/(((y/(y/y**6))/y)/y*y*y))/(y**(-2))**(-26) assuming y is positive.\n' | b'y**(-175/3)\n' | deepmind/math_dataset |
b'Simplify s**(-2/5)*s*s**(-35)*s*s*s**(-4/7)/s*s/(s*s**(3/8)/s) assuming s is positive.\n' | b's**(-9337/280)\n' | b'Simplify s**(-2/5)*s*s**(-35)*s*s*s**(-4/7)/s*s/(s*s**(3/8)/s) assuming s is positive.\n' | b's**(-9337/280)\n' | deepmind/math_dataset |
b'Suppose 5*l - 43 = -3*k + 7*k, -5*k - 41 = -2*l. Let s(f) be the second derivative of -f**4/12 - f**3 + 7*f**2/2 - 10*f. Give s(k).\n' | b'0\n' | b'Suppose 5*l - 43 = -3*k + 7*k, -5*k - 41 = -2*l. Let s(f) be the second derivative of -f**4/12 - f**3 + 7*f**2/2 - 10*f. Give s(k).\n' | b'0\n' | deepmind/math_dataset |
b'Let n = 15 + -8. Let i = 11 - n. Let g(v) = 11*v**3 - 19*v**2 + 31*v + 10. Let f(r) = r**3 - 2*r**2 + 3*r + 1. Let z(t) = 12*f(t) - g(t). Give z(i).\n' | b'6\n' | b'Let n = 15 + -8. Let i = 11 - n. Let g(v) = 11*v**3 - 19*v**2 + 31*v + 10. Let f(r) = r**3 - 2*r**2 + 3*r + 1. Let z(t) = 12*f(t) - g(t). Give z(i).\n' | b'6\n' | deepmind/math_dataset |
b'Let u(q) = 7*q**3 - q**2 - 5*q + 5. Let a(w) = -6*w**3 + w**2 + 4*w - 4. Let x(y) = -5*a(y) - 4*u(y). What is the third derivative of x(t) wrt t?\n' | b'12\n' | b'Let u(q) = 7*q**3 - q**2 - 5*q + 5. Let a(w) = -6*w**3 + w**2 + 4*w - 4. Let x(y) = -5*a(y) - 4*u(y). What is the third derivative of x(t) wrt t?\n' | b'12\n' | deepmind/math_dataset |
b'Suppose 0*o - 15 = -o. Suppose -8 = -o*y + 11*y. Solve -y*d + 0*w = w - 8, -20 = -5*w for d.\n' | b'2\n' | b'Suppose 0*o - 15 = -o. Suppose -8 = -o*y + 11*y. Solve -y*d + 0*w = w - 8, -20 = -5*w for d.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (w**12/w)/(((w*w**(-2/33))/w)/w) assuming w is positive.\n' | b'w**(398/33)\n' | b'Simplify (w**12/w)/(((w*w**(-2/33))/w)/w) assuming w is positive.\n' | b'w**(398/33)\n' | deepmind/math_dataset |
b'Suppose 0 = 11*d - 307 + 384. Let i(q) = q**3 + 8*q**2 + 3*q - 22. Give i(d).\n' | b'6\n' | b'Suppose 0 = 11*d - 307 + 384. Let i(q) = q**3 + 8*q**2 + 3*q - 22. Give i(d).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (b**(-2/3))**(9/5)/((b**(-1/7)*b)/b**0) assuming b is positive.\n' | b'b**(-72/35)\n' | b'Simplify (b**(-2/3))**(9/5)/((b**(-1/7)*b)/b**0) assuming b is positive.\n' | b'b**(-72/35)\n' | deepmind/math_dataset |
b'Suppose -3*j = 5*d - 29, -18*d + 13*d + 2*j + 14 = 0. Solve 4*y = 3*s - 0*s + 3, -d*y + 5*s + 5 = 0 for y.\n' | b'0\n' | b'Suppose -3*j = 5*d - 29, -18*d + 13*d + 2*j + 14 = 0. Solve 4*y = 3*s - 0*s + 3, -d*y + 5*s + 5 = 0 for y.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 e when two letters picked without replacement from eweewewewwwwwwewewee?\n' | b'99/190\n' | b'What is prob of picking 1 w and 1 e when two letters picked without replacement from eweewewewwwwwwewewee?\n' | b'99/190\n' | deepmind/math_dataset |
b'Let n(s) = -3 + 11*s - 6*s - 45*s + 46*s. Suppose -5*d = 5, 2*d + 8 - 1 = i. What is n(i)?\n' | b'27\n' | b'Let n(s) = -3 + 11*s - 6*s - 45*s + 46*s. Suppose -5*d = 5, 2*d + 8 - 1 = i. What is n(i)?\n' | b'27\n' | deepmind/math_dataset |
b'Simplify ((z/(z/(z*(z/z**(2/11))/z)*z)*z*((z*z*(z/(z*(z*z**16)/z*z*z))/z)/z)/z)**(-1/9))**(1/40) assuming z is positive.\n' | b'z**(5/99)\n' | b'Simplify ((z/(z/(z*(z/z**(2/11))/z)*z)*z*((z*z*(z/(z*(z*z**16)/z*z*z))/z)/z)/z)**(-1/9))**(1/40) assuming z is positive.\n' | b'z**(5/99)\n' | deepmind/math_dataset |
b'What is prob of sequence qqqq when four letters picked without replacement from kkkqkqkqkqqkk?\n' | b'1/143\n' | b'What is prob of sequence qqqq when four letters picked without replacement from kkkqkqkqkqqkk?\n' | b'1/143\n' | deepmind/math_dataset |
b'Simplify (((n/n**(3/2))/n)/n*n**7*((((n*n**(3/4))/n)/n)/n)/(n*n*n/n**(-6)))**(-44) assuming n is positive.\n' | b'n**253\n' | b'Simplify (((n/n**(3/2))/n)/n*n**7*((((n*n**(3/4))/n)/n)/n)/(n*n*n/n**(-6)))**(-44) assuming n is positive.\n' | b'n**253\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 1, b: 1, p: 1, e: 2, d: 1, v: 2}.\n' | b'1/28\n' | b'Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 1, b: 1, p: 1, e: 2, d: 1, v: 2}.\n' | b'1/28\n' | deepmind/math_dataset |
b'What is prob of sequence dqfr when four letters picked without replacement from {f: 6, q: 2, o: 6, r: 1, d: 2}?\n' | b'1/2380\n' | b'What is prob of sequence dqfr when four letters picked without replacement from {f: 6, q: 2, o: 6, r: 1, d: 2}?\n' | b'1/2380\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffff. What is prob of picking 3 f?\n' | b'1\n' | b'Three letters picked without replacement from ffff. What is prob of picking 3 f?\n' | b'1\n' | deepmind/math_dataset |
b'Let i(s) = 16*s - 101. Let t be i(8). Suppose t*j = 22*j - 10. Let k(q) = q**3 + 3*q**2 + q. Calculate k(j).\n' | b'2\n' | b'Let i(s) = 16*s - 101. Let t be i(8). Suppose t*j = 22*j - 10. Let k(q) = q**3 + 3*q**2 + q. Calculate k(j).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (k/(k**(-10)/k))/(k/(k*k*k**(-1/15)*k))*(k/k**(-2/5))**(1/67) assuming k is positive.\n' | b'k**(14024/1005)\n' | b'Simplify (k/(k**(-10)/k))/(k/(k*k*k**(-1/15)*k))*(k/k**(-2/5))**(1/67) assuming k is positive.\n' | b'k**(14024/1005)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 5, n: 11}. Give prob of picking 2 n and 2 y.\n' | b'55/182\n' | b'Four letters picked without replacement from {y: 5, n: 11}. Give prob of picking 2 n and 2 y.\n' | b'55/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eeeexx. Give prob of sequence eee.\n' | b'1/5\n' | b'Three letters picked without replacement from eeeexx. Give prob of sequence eee.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is the third derivative of 8*c**2 + 37*c**3 - 10*c**5 - 37*c**3 wrt c?\n' | b'-600*c**2\n' | b'What is the third derivative of 8*c**2 + 37*c**3 - 10*c**5 - 37*c**3 wrt c?\n' | b'-600*c**2\n' | deepmind/math_dataset |
b'Suppose 2*n + 24 = -2*n. Let i(d) = -2 - 4*d - 5*d + 2*d - d**2 + 0*d. Let o be i(n). Solve -2*x - 6 = -o*x, 4*m + 22 = 2*x for m.\n' | b'-4\n' | b'Suppose 2*n + 24 = -2*n. Let i(d) = -2 - 4*d - 5*d + 2*d - d**2 + 0*d. Let o be i(n). Solve -2*x - 6 = -o*x, 4*m + 22 = 2*x for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Let m be ((-3)/2)/((-2)/28). Let p = m - 15. Suppose -5*t - 2 = -p*t. Solve -t*o - 14 = -5*i, -3*i - 2*o + 4*o = -6 for i.\n' | b'4\n' | b'Let m be ((-3)/2)/((-2)/28). Let p = m - 15. Suppose -5*t - 2 = -p*t. Solve -t*o - 14 = -5*i, -3*i - 2*o + 4*o = -6 for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let o be (-9)/3 + 2 + 4. Solve 4*m - 2*u + 3*u - o = 0, m + u + 3 = 0 for m.\n' | b'2\n' | b'Let o be (-9)/3 + 2 + 4. Solve 4*m - 2*u + 3*u - o = 0, m + u + 3 = 0 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l, 1 a, and 1 q when four letters picked without replacement from {l: 2, a: 2, q: 1}.\n' | b'2/5\n' | b'Calculate prob of picking 2 l, 1 a, and 1 q when four letters picked without replacement from {l: 2, a: 2, q: 1}.\n' | b'2/5\n' | deepmind/math_dataset |
b'Suppose 4*h = 0, g - h = 2*g - 1. Let j be 9*(g/3 + 0). Solve 5*a + 25 = l, -20 = a + j*a - 3*l for a.\n' | b'-5\n' | b'Suppose 4*h = 0, g - h = 2*g - 1. Let j be 9*(g/3 + 0). Solve 5*a + 25 = l, -20 = a + j*a - 3*l for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Let a be 6/(-2 - -4 - 0). Let c be -4 + 2 + a + 4. Let p = 7475 + -7470. Solve -c*j - 5 = -j - f, 3*f - 15 = -p*j for j.\n' | b'0\n' | b'Let a be 6/(-2 - -4 - 0). Let c be -4 + 2 + a + 4. Let p = 7475 + -7470. Solve -c*j - 5 = -j - f, 3*f - 15 = -p*j for j.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0*t = 3*t - 48. Let l(b) = 0*b**2 - 17 + 8*b + b**2 + 2*b - 2*b**2. Let d be l(7). Solve 0 = -3*x + 5*q - 2*q + 3, t = d*q for x.\n' | b'5\n' | b'Suppose 0*t = 3*t - 48. Let l(b) = 0*b**2 - 17 + 8*b + b**2 + 2*b - 2*b**2. Let d be l(7). Solve 0 = -3*x + 5*q - 2*q + 3, t = d*q for x.\n' | b'5\n' | deepmind/math_dataset |
b'Let o(v) = -2*v + 3. Let r be o(0). Solve -2*h + l = 8, 2*h + 4*l - 6 = -r*h for h.\n' | b'-2\n' | b'Let o(v) = -2*v + 3. Let r be o(0). Solve -2*h + l = 8, 2*h + 4*l - 6 = -r*h for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let f(z) = -z + 7. Suppose -5 = 2*d - 107. Let w be d/9 + 5/15. Determine f(w).\n' | b'1\n' | b'Let f(z) = -z + 7. Suppose -5 = 2*d - 107. Let w be d/9 + 5/15. Determine f(w).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence aaqr when four letters picked without replacement from {a: 2, r: 1, w: 2, s: 1, q: 1, h: 1}?\n' | b'1/840\n' | b'What is prob of sequence aaqr when four letters picked without replacement from {a: 2, r: 1, w: 2, s: 1, q: 1, h: 1}?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let q(r) = -20*r + 29. Let t(c) = -9*c + 14. Let x(h) = -4*q(h) + 9*t(h). What is x(6)?\n' | b'4\n' | b'Let q(r) = -20*r + 29. Let t(c) = -9*c + 14. Let x(h) = -4*q(h) + 9*t(h). What is x(6)?\n' | b'4\n' | deepmind/math_dataset |
b'Let l(h) be the second derivative of 7*h**3/6 - 15*h**2/2 - 4*h. What is the first derivative of l(j) wrt j?\n' | b'7\n' | b'Let l(h) be the second derivative of 7*h**3/6 - 15*h**2/2 - 4*h. What is the first derivative of l(j) wrt j?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify ((k/(k*(k*k/(k**(-3/5)*k))/k))**(-17)*k**(-23)*k/(k**25/k))**25 assuming k is positive.\n' | b'k**(-895)\n' | b'Simplify ((k/(k*(k*k/(k**(-3/5)*k))/k))**(-17)*k**(-23)*k/(k**25/k))**25 assuming k is positive.\n' | b'k**(-895)\n' | deepmind/math_dataset |
b'Simplify (((k**(-10)/(k*((k*k/k**(-2))/k)/k*k*k))**(-5/3))**25)**(-22) assuming k is positive.\n' | b'k**(-13750)\n' | b'Simplify (((k**(-10)/(k*((k*k/k**(-2))/k)/k*k*k))**(-5/3))**25)**(-22) assuming k is positive.\n' | b'k**(-13750)\n' | deepmind/math_dataset |
b'Let f = 17 - 1. Suppose f - 22 = -3*n. What is the third derivative of -p**n + 27*p**2 - 3*p**4 - 16*p**4 - 6*p**4 wrt p?\n' | b'-600*p\n' | b'Let f = 17 - 1. Suppose f - 22 = -3*n. What is the third derivative of -p**n + 27*p**2 - 3*p**4 - 16*p**4 - 6*p**4 wrt p?\n' | b'-600*p\n' | deepmind/math_dataset |
b'Suppose 57 + 62 = -7*u. Let m = 11 - u. Solve -2*d = 4*c + m, c = 3*c - 5*d - 10 for c.\n' | b'-5\n' | b'Suppose 57 + 62 = -7*u. Let m = 11 - u. Solve -2*d = 4*c + m, c = 3*c - 5*d - 10 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let s(f) be the second derivative of 17*f**4/6 + 7*f**2/2 - 13*f. Differentiate s(v) wrt v.\n' | b'68*v\n' | b'Let s(f) be the second derivative of 17*f**4/6 + 7*f**2/2 - 13*f. Differentiate s(v) wrt v.\n' | b'68*v\n' | deepmind/math_dataset |
b'Let h = 0 - -7. Suppose 12 = -h*y + 11*y. Find the third derivative of y*p**2 - 28*p**6 + 25*p**6 - p**2 - 5*p**2 wrt p.\n' | b'-360*p**3\n' | b'Let h = 0 - -7. Suppose 12 = -h*y + 11*y. Find the third derivative of y*p**2 - 28*p**6 + 25*p**6 - p**2 - 5*p**2 wrt p.\n' | b'-360*p**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, w: 6, r: 3, x: 4}. Give prob of sequence wfxf.\n' | b'2/1365\n' | b'Four letters picked without replacement from {f: 2, w: 6, r: 3, x: 4}. Give prob of sequence wfxf.\n' | b'2/1365\n' | deepmind/math_dataset |
b'Suppose 0 = -6*v + 10 + 8. Let r be (-2 - (-10)/5) + v. Suppose r*l + 4*a - 7 = 0, 3*l + 3*a - 7 = 2. Solve 3*t + 2*z = -z - 6, -5*t - 30 = -l*z for t.\n' | b'-4\n' | b'Suppose 0 = -6*v + 10 + 8. Let r be (-2 - (-10)/5) + v. Suppose r*l + 4*a - 7 = 0, 3*l + 3*a - 7 = 2. Solve 3*t + 2*z = -z - 6, -5*t - 30 = -l*z for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -4*v - 105 = -141. Suppose v*u - 1 = 44. Solve 4*l = 5*n - u, -n + 5*l + 11 = -11 for n.\n' | b'-3\n' | b'Suppose -4*v - 105 = -141. Suppose v*u - 1 = 44. Solve 4*l = 5*n - u, -n + 5*l + 11 = -11 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j = -1390 - -1389. Let s(i) = -30*i - 5. Let o(q) = -6*q - 1. Let k(a) = -11*o(a) + 2*s(a). Give k(j).\n' | b'-5\n' | b'Let j = -1390 - -1389. Let s(i) = -30*i - 5. Let o(q) = -6*q - 1. Let k(a) = -11*o(a) + 2*s(a). Give k(j).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from basasobsbozf. Give prob of sequence oa.\n' | b'1/33\n' | b'Two letters picked without replacement from basasobsbozf. Give prob of sequence oa.\n' | b'1/33\n' | deepmind/math_dataset |
b'What is prob of sequence ftt when three letters picked without replacement from tftt?\n' | b'1/4\n' | b'What is prob of sequence ftt when three letters picked without replacement from tftt?\n' | b'1/4\n' | deepmind/math_dataset |
b'Find the second derivative of -8 - 15*s - 2*s**3 - 8 - 232*s**5 + 0 - 10 wrt s.\n' | b'-4640*s**3 - 12*s\n' | b'Find the second derivative of -8 - 15*s - 2*s**3 - 8 - 232*s**5 + 0 - 10 wrt s.\n' | b'-4640*s**3 - 12*s\n' | deepmind/math_dataset |
b'Simplify (z/z**25*z*z**(-16))/(z*z**20/z*z/((z*z**(1/7)/z*z)/z*z)) assuming z is positive.\n' | b'z**(-412/7)\n' | b'Simplify (z/z**25*z*z**(-16))/(z*z**20/z*z/((z*z**(1/7)/z*z)/z*z)) assuming z is positive.\n' | b'z**(-412/7)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 2, h: 6, c: 9}. What is prob of picking 2 k and 2 c?\n' | b'9/595\n' | b'Four letters picked without replacement from {k: 2, h: 6, c: 9}. What is prob of picking 2 k and 2 c?\n' | b'9/595\n' | deepmind/math_dataset |
b'Suppose -5*r + 4*r = 68. Let h = r + 87. Let p = 24 - h. Solve 13 = -n - p*j, -2*n + 6*n - 3*j = 17 for n.\n' | b'2\n' | b'Suppose -5*r + 4*r = 68. Let h = r + 87. Let p = 24 - h. Solve 13 = -n - p*j, -2*n + 6*n - 3*j = 17 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Let r(k) = -46*k + 281. Let o be r(6). Let v(j) = j**3 - 10*j**2 + 12*j - 11. Let z be v(9). Solve -3*a - z = -3*n - o*a, 0 = a - 2 for n.\n' | b'4\n' | b'Let r(k) = -46*k + 281. Let o be r(6). Let v(j) = j**3 - 10*j**2 + 12*j - 11. Let z be v(9). Solve -3*a - z = -3*n - o*a, 0 = a - 2 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 f when three letters picked without replacement from bbbfff.\n' | b'1/20\n' | b'Calculate prob of picking 3 f when three letters picked without replacement from bbbfff.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let w be ((24/(-10))/4)/((-2)/10). Suppose w*z = -5*n + 9, 5*n + z - 4*z = -9. Solve -3*v + 3*k - k + 3 = 0, 3*v + k + 6 = n for v.\n' | b'-1\n' | b'Let w be ((24/(-10))/4)/((-2)/10). Suppose w*z = -5*n + 9, 5*n + z - 4*z = -9. Solve -3*v + 3*k - k + 3 = 0, 3*v + k + 6 = n for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 11, b: 1}. Give prob of picking 2 k.\n' | b'5/6\n' | b'Two letters picked without replacement from {k: 11, b: 1}. Give prob of picking 2 k.\n' | b'5/6\n' | deepmind/math_dataset |
b'Let p be -1*((-18)/81 - 21/27). Suppose -j = p, -4*j + 41 = -f + 46. Solve f = 4*k - 5*y - 3, 3*k + 3*y = -24 for k.\n' | b'-4\n' | b'Let p be -1*((-18)/81 - 21/27). Suppose -j = p, -4*j + 41 = -f + 46. Solve f = 4*k - 5*y - 3, 3*k + 3*y = -24 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((n/n**(-5/2)*n)/n*n**(-2))**(-2/127) assuming n is positive.\n' | b'n**(-3/127)\n' | b'Simplify ((n/n**(-5/2)*n)/n*n**(-2))**(-2/127) assuming n is positive.\n' | b'n**(-3/127)\n' | deepmind/math_dataset |
b'Suppose 2*h + 0 = -q + 7, 5*h - 2*q - 31 = 0. Suppose 0 = -5*a - 5*v, 5*a - h*v + 11 = -9. Let k(j) = -3*j**3 - 2*j - 1. Give k(a).\n' | b'27\n' | b'Suppose 2*h + 0 = -q + 7, 5*h - 2*q - 31 = 0. Suppose 0 = -5*a - 5*v, 5*a - h*v + 11 = -9. Let k(j) = -3*j**3 - 2*j - 1. Give k(a).\n' | b'27\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, o: 1, k: 1}. Give prob of sequence oc.\n' | b'3/20\n' | b'Two letters picked without replacement from {c: 3, o: 1, k: 1}. Give prob of sequence oc.\n' | b'3/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence nb when two letters picked without replacement from {s: 1, n: 3, b: 1, j: 3, g: 6}.\n' | b'3/182\n' | b'Calculate prob of sequence nb when two letters picked without replacement from {s: 1, n: 3, b: 1, j: 3, g: 6}.\n' | b'3/182\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e, 1 w, and 1 f when three letters picked without replacement from {s: 1, f: 1, e: 5, w: 5}.\n' | b'5/44\n' | b'Calculate prob of picking 1 e, 1 w, and 1 f when three letters picked without replacement from {s: 1, f: 1, e: 5, w: 5}.\n' | b'5/44\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 3 p when four letters picked without replacement from {g: 2, p: 9}?\n' | b'28/55\n' | b'What is prob of picking 1 g and 3 p when four letters picked without replacement from {g: 2, p: 9}?\n' | b'28/55\n' | deepmind/math_dataset |
b'What is prob of sequence lf when two letters picked without replacement from {f: 1, l: 1, k: 3, x: 1, h: 1}?\n' | b'1/42\n' | b'What is prob of sequence lf when two letters picked without replacement from {f: 1, l: 1, k: 3, x: 1, h: 1}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Calculate prob of sequence myg when three letters picked without replacement from {v: 2, t: 1, s: 1, y: 1, g: 1, m: 1}.\n' | b'1/210\n' | b'Calculate prob of sequence myg when three letters picked without replacement from {v: 2, t: 1, s: 1, y: 1, g: 1, m: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 7, k: 1}. Give prob of sequence ck.\n' | b'1/8\n' | b'Two letters picked without replacement from {c: 7, k: 1}. Give prob of sequence ck.\n' | b'1/8\n' | deepmind/math_dataset |
b'Differentiate -h**4 + 7*h**3 + 2 - 7*h**3 with respect to h.\n' | b'-4*h**3\n' | b'Differentiate -h**4 + 7*h**3 + 2 - 7*h**3 with respect to h.\n' | b'-4*h**3\n' | deepmind/math_dataset |
b'Simplify ((k**(1/9)/(k/k**(-1/22)))/(k/(k*k**(-1/11))*k/((k*(k**(-1/11)*k)/k)/k)))**50 assuming k is positive.\n' | b'k**(-10475/99)\n' | b'Simplify ((k**(1/9)/(k/k**(-1/22)))/(k/(k*k**(-1/11))*k/((k*(k**(-1/11)*k)/k)/k)))**50 assuming k is positive.\n' | b'k**(-10475/99)\n' | deepmind/math_dataset |
b'Let u = 4 - -1. Let g(v) be the third derivative of v**7/2520 - v**6/144 + v**5/24 + v**4/12 - 16*v**2. Let x(m) be the second derivative of g(m). What is x(u)?\n' | b'5\n' | b'Let u = 4 - -1. Let g(v) be the third derivative of v**7/2520 - v**6/144 + v**5/24 + v**4/12 - 16*v**2. Let x(m) be the second derivative of g(m). What is x(u)?\n' | b'5\n' | deepmind/math_dataset |
b'Let y = -170 + 205. Find the second derivative of -y*t + 110 - 15*t**3 - 110 wrt t.\n' | b'-90*t\n' | b'Let y = -170 + 205. Find the second derivative of -y*t + 110 - 15*t**3 - 110 wrt t.\n' | b'-90*t\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 a and 1 w when two letters picked without replacement from kakwablbak.\n' | b'1/15\n' | b'Calculate prob of picking 1 a and 1 w when two letters picked without replacement from kakwablbak.\n' | b'1/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwwswsw. What is prob of picking 1 w and 1 s?\n' | b'10/21\n' | b'Two letters picked without replacement from wwwswsw. What is prob of picking 1 w and 1 s?\n' | b'10/21\n' | deepmind/math_dataset |
b'Let k = -18 + 18. Let f be (-5 - -7) + (k - -1). Solve 2*d - 5*h = 4, d - 4*h + 1 = f for d.\n' | b'2\n' | b'Let k = -18 + 18. Let f be (-5 - -7) + (k - -1). Solve 2*d - 5*h = 4, d - 4*h + 1 = f for d.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n, 1 r, and 1 l when four letters picked without replacement from {r: 7, n: 5, l: 2}.\n' | b'20/143\n' | b'Calculate prob of picking 2 n, 1 r, and 1 l when four letters picked without replacement from {r: 7, n: 5, l: 2}.\n' | b'20/143\n' | deepmind/math_dataset |
b'Suppose 10*l = 12*l - 2. Let g(u) be the first derivative of 0*u**2 + 0*u - 3/5*u**5 - l + 0*u**4 + 1/3*u**3. What is the third derivative of g(f) wrt f?\n' | b'-72*f\n' | b'Suppose 10*l = 12*l - 2. Let g(u) be the first derivative of 0*u**2 + 0*u - 3/5*u**5 - l + 0*u**4 + 1/3*u**3. What is the third derivative of g(f) wrt f?\n' | b'-72*f\n' | deepmind/math_dataset |
b'Simplify ((b**43/b*b*b/b**26)**(2/11))**(-4/11) assuming b is positive.\n' | b'b**(-144/121)\n' | b'Simplify ((b**43/b*b*b/b**26)**(2/11))**(-4/11) assuming b is positive.\n' | b'b**(-144/121)\n' | deepmind/math_dataset |
b'Suppose 95*x - 100*x = 0. Solve -4*c - 3*m - 27 = x, 3*c = 5*m + 9 + 7 for c.\n' | b'-3\n' | b'Suppose 95*x - 100*x = 0. Solve -4*c - 3*m - 27 = x, 3*c = 5*m + 9 + 7 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Let w(v) be the third derivative of -v**8/112 + v**4/24 - v**2. Find the second derivative of w(d) wrt d.\n' | b'-60*d**3\n' | b'Let w(v) be the third derivative of -v**8/112 + v**4/24 - v**2. Find the second derivative of w(d) wrt d.\n' | b'-60*d**3\n' | deepmind/math_dataset |
b'Let z(j) = 5*j - 4840. Let w(i) = -i**2 + 8*i - 7266. Let f(a) = 5*w(a) - 7*z(a). Find the first derivative of f(n) wrt n.\n' | b'-10*n + 5\n' | b'Let z(j) = 5*j - 4840. Let w(i) = -i**2 + 8*i - 7266. Let f(a) = 5*w(a) - 7*z(a). Find the first derivative of f(n) wrt n.\n' | b'-10*n + 5\n' | deepmind/math_dataset |
b'Simplify (m**(-12))**(-11)*(m**(-4/7)*m)**(-2) assuming m is positive.\n' | b'm**(918/7)\n' | b'Simplify (m**(-12))**(-11)*(m**(-4/7)*m)**(-2) assuming m is positive.\n' | b'm**(918/7)\n' | deepmind/math_dataset |
b'Let l = 203 + -120. Suppose 5*w + 332 = 4*n, -300 = -4*n - 2*w - w. Let f = l - n. Solve 3 = -g + 3*d - 4*d, -f*d - 5 = 0 for g.\n' | b'-2\n' | b'Let l = 203 + -120. Suppose 5*w + 332 = 4*n, -300 = -4*n - 2*w - w. Let f = l - n. Solve 3 = -g + 3*d - 4*d, -f*d - 5 = 0 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z(i) = -i**3 + 5*i**2 - 4*i + 3. Let k be z(4). Differentiate -5 - 3*s - 3*s + k*s - s wrt s.\n' | b'-4\n' | b'Let z(i) = -i**3 + 5*i**2 - 4*i + 3. Let k be z(4). Differentiate -5 - 3*s - 3*s + k*s - s wrt s.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -17*j = -15*j - 12. Find the second derivative of 2*r - 19*r**5 - 9*r + j*r + 4*r wrt r.\n' | b'-380*r**3\n' | b'Suppose -17*j = -15*j - 12. Find the second derivative of 2*r - 19*r**5 - 9*r + j*r + 4*r wrt r.\n' | b'-380*r**3\n' | deepmind/math_dataset |
b'What is prob of sequence gl when two letters picked without replacement from ddttgldgygtxdlxlt?\n' | b'9/272\n' | b'What is prob of sequence gl when two letters picked without replacement from ddttgldgygtxdlxlt?\n' | b'9/272\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.