question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Suppose 0*w - 7*w = 3*w - 40. Let g(a) be the first derivative of 0*a**3 + 3 + 8*a**2 + 1/2*a**w + 0*a. Find the second derivative of g(k) wrt k.\n' | b'12*k\n' | b'Suppose 0*w - 7*w = 3*w - 40. Let g(a) be the first derivative of 0*a**3 + 3 + 8*a**2 + 1/2*a**w + 0*a. Find the second derivative of g(k) wrt k.\n' | b'12*k\n' | deepmind/math_dataset |
b'Simplify (k*k**1*k*k)**(-13)*(k/((k**(-2/25)*k)/k))/((k*k**(1/3))/k) assuming k is positive.\n' | b'k**(-3844/75)\n' | b'Simplify (k*k**1*k*k)**(-13)*(k/((k**(-2/25)*k)/k))/((k*k**(1/3))/k) assuming k is positive.\n' | b'k**(-3844/75)\n' | deepmind/math_dataset |
b'Suppose -669*a + 3*s + 60 = -666*a, 2*s - 48 = -2*a. Solve -6*k + a = 2*w - 9*k, 0 = 3*w - k - 19 for w.\n' | b'5\n' | b'Suppose -669*a + 3*s + 60 = -666*a, 2*s - 48 = -2*a. Solve -6*k + a = 2*w - 9*k, 0 = 3*w - k - 19 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let v = 74 - -156. Let z = v + -226. Solve -z*x = 3*k + 23, -k = 4*x + 4*k + 33 for x.\n' | b'-2\n' | b'Let v = 74 - -156. Let z = v + -226. Solve -z*x = 3*k + 23, -k = 4*x + 4*k + 33 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 2 d, and 1 u when four letters picked without replacement from dggur?\n' | b'0\n' | b'What is prob of picking 1 r, 2 d, and 1 u when four letters picked without replacement from dggur?\n' | b'0\n' | deepmind/math_dataset |
b'Let f(s) = -s**2 - 5*s + 6. Let u be f(-6). Suppose d + d - 10 = u. Solve -8 = b - 3*k, 2*b - 6*b = -d*k + 18 for b.\n' | b'-2\n' | b'Let f(s) = -s**2 - 5*s + 6. Let u be f(-6). Suppose d + d - 10 = u. Solve -8 = b - 3*k, 2*b - 6*b = -d*k + 18 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -w + 2*w - 39. Let u = w - 28. Solve -3*n - 9 = 4*m, -u = n + 3*m + m for n.\n' | b'1\n' | b'Suppose 0 = -w + 2*w - 39. Let u = w - 28. Solve -3*n - 9 = 4*m, -u = n + 3*m + m for n.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gfvgyfjfvvjv. Give prob of picking 1 g and 1 v.\n' | b'4/33\n' | b'Two letters picked without replacement from gfvgyfjfvvjv. Give prob of picking 1 g and 1 v.\n' | b'4/33\n' | deepmind/math_dataset |
b'Simplify (l**(-5/4))**(-2/101) assuming l is positive.\n' | b'l**(5/202)\n' | b'Simplify (l**(-5/4))**(-2/101) assuming l is positive.\n' | b'l**(5/202)\n' | deepmind/math_dataset |
b'Let b be -2 + 1 + -16 + 19. Solve b*w + 4*h = -20, 3*w - 2*h = 8*w + 10 for w.\n' | b'0\n' | b'Let b be -2 + 1 + -16 + 19. Solve b*w + 4*h = -20, 3*w - 2*h = 8*w + 10 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -4*a = 2*l + 24, -9*l + 10*l - a = 9. Let u be ((-12)/(-8))/(2/28). Let q be (3/2)/(2/28). Solve -u = -5*m + l*y - 4*y, 2*m = -5*y + q for m.\n' | b'3\n' | b'Suppose -4*a = 2*l + 24, -9*l + 10*l - a = 9. Let u be ((-12)/(-8))/(2/28). Let q be (3/2)/(2/28). Solve -u = -5*m + l*y - 4*y, 2*m = -5*y + q for m.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 33 = -19*b - 62. Let s(c) = -c**3 - 4*c**2 + 5*c + 4. Give s(b).\n' | b'4\n' | b'Suppose 33 = -19*b - 62. Let s(c) = -c**3 - 4*c**2 + 5*c + 4. Give s(b).\n' | b'4\n' | deepmind/math_dataset |
b'Let a = -39 - -63. Let m be 8/(4/(-6) - a/(-9)). Let s be m/(-6) + (-6)/(-9). Solve s*r + 2*b - 16 = -2*r, 0 = -3*r + 4*b - 4 for r.\n' | b'4\n' | b'Let a = -39 - -63. Let m be 8/(4/(-6) - a/(-9)). Let s be m/(-6) + (-6)/(-9). Solve s*r + 2*b - 16 = -2*r, 0 = -3*r + 4*b - 4 for r.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 6, b: 3, v: 4, d: 4}. Give prob of picking 1 j and 3 v.\n' | b'6/595\n' | b'Four letters picked without replacement from {j: 6, b: 3, v: 4, d: 4}. Give prob of picking 1 j and 3 v.\n' | b'6/595\n' | deepmind/math_dataset |
b'What is the third derivative of 4*y**2 - 3*y**6 + 3*y**2 - 10*y**2 wrt y?\n' | b'-360*y**3\n' | b'What is the third derivative of 4*y**2 - 3*y**6 + 3*y**2 - 10*y**2 wrt y?\n' | b'-360*y**3\n' | deepmind/math_dataset |
b'Simplify (z**1*z/(z**6*z))/((z**(2/9)*z)/(z*z**(1/3)))*z**(-4)*((z*z**(-1/4)*z)/z)/z*(z/z**3*z)/(z/(z**(1/4)/z)) assuming z is positive.\n' | b'z**(-107/9)\n' | b'Simplify (z**1*z/(z**6*z))/((z**(2/9)*z)/(z*z**(1/3)))*z**(-4)*((z*z**(-1/4)*z)/z)/z*(z/z**3*z)/(z/(z**(1/4)/z)) assuming z is positive.\n' | b'z**(-107/9)\n' | deepmind/math_dataset |
b'What is prob of picking 2 w, 1 y, and 1 l when four letters picked without replacement from {y: 2, l: 1, w: 2, c: 1}?\n' | b'2/15\n' | b'What is prob of picking 2 w, 1 y, and 1 l when four letters picked without replacement from {y: 2, l: 1, w: 2, c: 1}?\n' | b'2/15\n' | deepmind/math_dataset |
b'What is prob of sequence hj when two letters picked without replacement from {s: 2, l: 1, w: 1, j: 1, c: 1, h: 2}?\n' | b'1/28\n' | b'What is prob of sequence hj when two letters picked without replacement from {s: 2, l: 1, w: 1, j: 1, c: 1, h: 2}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of sequence www when three letters picked without replacement from {w: 7, d: 4}.\n' | b'7/33\n' | b'Calculate prob of sequence www when three letters picked without replacement from {w: 7, d: 4}.\n' | b'7/33\n' | deepmind/math_dataset |
b'Simplify (f/((f*f**0)/f))**(-2/29)*f**3*f*f/f**(-1/4)*(f**(-1)*f/f**(-5))/(f*f**(-1)/f)**(-2/3) assuming f is positive.\n' | b'f**(3311/348)\n' | b'Simplify (f/((f*f**0)/f))**(-2/29)*f**3*f*f/f**(-1/4)*(f**(-1)*f/f**(-5))/(f*f**(-1)/f)**(-2/3) assuming f is positive.\n' | b'f**(3311/348)\n' | deepmind/math_dataset |
b'Suppose 7*t = 4*t + 12. Let x = -40 + 43. Let h be (-4)/10*10/x*-15. Solve 2*r + t*z + 12 = -z, h = -5*z for r.\n' | b'4\n' | b'Suppose 7*t = 4*t + 12. Let x = -40 + 43. Let h be (-4)/10*10/x*-15. Solve 2*r + t*z + 12 = -z, h = -5*z for r.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 2, l: 1}. Give prob of sequence cl.\n' | b'1/3\n' | b'Two letters picked without replacement from {c: 2, l: 1}. Give prob of sequence cl.\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of sequence hn when two letters picked without replacement from hhhmhkknjjhxj.\n' | b'5/156\n' | b'Calculate prob of sequence hn when two letters picked without replacement from hhhmhkknjjhxj.\n' | b'5/156\n' | deepmind/math_dataset |
b'Let h(a) be the second derivative of -a**6/40 + a**3/6 + a**2 - a. Let z(j) be the first derivative of h(j). What is the derivative of z(t) wrt t?\n' | b'-9*t**2\n' | b'Let h(a) be the second derivative of -a**6/40 + a**3/6 + a**2 - a. Let z(j) be the first derivative of h(j). What is the derivative of z(t) wrt t?\n' | b'-9*t**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence djkk when four letters picked without replacement from kkdjd.\n' | b'1/30\n' | b'Calculate prob of sequence djkk when four letters picked without replacement from kkdjd.\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose -4*z + 18 = 2*a, -z = -3*z + a + 3. Suppose 6 = 3*y + 3*b, 0*b + 4*b - 8 = 2*y. Suppose y = -2*t - 0 + 8. Solve -4*p + 4*i = 12, z*i = t*i - 4 for p.\n' | b'1\n' | b'Suppose -4*z + 18 = 2*a, -z = -3*z + a + 3. Suppose 6 = 3*y + 3*b, 0*b + 4*b - 8 = 2*y. Suppose y = -2*t - 0 + 8. Solve -4*p + 4*i = 12, z*i = t*i - 4 for p.\n' | b'1\n' | deepmind/math_dataset |
b'What is the second derivative of 4 + 5*q**2 + 401*q**5 - 5*q**2 - q - 345*q**5 wrt q?\n' | b'1120*q**3\n' | b'What is the second derivative of 4 + 5*q**2 + 401*q**5 - 5*q**2 - q - 345*q**5 wrt q?\n' | b'1120*q**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhndbht. What is prob of picking 1 d and 1 h?\n' | b'1/7\n' | b'Two letters picked without replacement from hhndbht. What is prob of picking 1 d and 1 h?\n' | b'1/7\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnbb when four letters picked without replacement from enbeennnbne.\n' | b'1/198\n' | b'Calculate prob of sequence nnbb when four letters picked without replacement from enbeennnbne.\n' | b'1/198\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 z when four letters picked without replacement from {z: 6, p: 2}.\n' | b'3/14\n' | b'Calculate prob of picking 4 z when four letters picked without replacement from {z: 6, p: 2}.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let g(t) = 14*t**2 - 8*t + 13. Let m(q) = -9*q**2 + 5*q - 9. Let i(d) = 5*g(d) + 8*m(d). What is the derivative of i(k) wrt k?\n' | b'-4*k\n' | b'Let g(t) = 14*t**2 - 8*t + 13. Let m(q) = -9*q**2 + 5*q - 9. Let i(d) = 5*g(d) + 8*m(d). What is the derivative of i(k) wrt k?\n' | b'-4*k\n' | deepmind/math_dataset |
b'Let b = 15 - 10. What is the second derivative of b*o**2 + 0*o - 4*o**2 + 5*o**2 - o wrt o?\n' | b'12\n' | b'Let b = 15 - 10. What is the second derivative of b*o**2 + 0*o - 4*o**2 + 5*o**2 - o wrt o?\n' | b'12\n' | deepmind/math_dataset |
b'Let c(z) = -2*z**2 - 2*z - 2. Let r = -123 - -95. Let h(l) = -l**2 - 28*l - 2. Let b be h(r). Give c(b).\n' | b'-6\n' | b'Let c(z) = -2*z**2 - 2*z - 2. Let r = -123 - -95. Let h(l) = -l**2 - 28*l - 2. Let b be h(r). Give c(b).\n' | b'-6\n' | deepmind/math_dataset |
b'Let b(g) = g**2 - 12*g + 14. Let s be b(11). Find the first derivative of 11*n**3 + 37 + 67*n**s + 12*n**2 - 12*n**2 wrt n.\n' | b'234*n**2\n' | b'Let b(g) = g**2 - 12*g + 14. Let s be b(11). Find the first derivative of 11*n**3 + 37 + 67*n**s + 12*n**2 - 12*n**2 wrt n.\n' | b'234*n**2\n' | deepmind/math_dataset |
b'Let i(v) = -2*v**3 + 13*v**2 - 7*v + 6. Let l be i(6). Solve l = o + n + 5, 5*o + n + 7 = -2 for o.\n' | b'-1\n' | b'Let i(v) = -2*v**3 + 13*v**2 - 7*v + 6. Let l be i(6). Solve l = o + n + 5, 5*o + n + 7 = -2 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (m**(-21)/m)/(m/(m**(-3/8)/m*m)) assuming m is positive.\n' | b'm**(-187/8)\n' | b'Simplify (m**(-21)/m)/(m/(m**(-3/8)/m*m)) assuming m is positive.\n' | b'm**(-187/8)\n' | deepmind/math_dataset |
b'Simplify ((z*z**(-16/5))**32/((((z*z**(-4/19)/z)/z)/z)/z**34))**(-2/39) assuming z is positive.\n' | b'z**(6496/3705)\n' | b'Simplify ((z*z**(-16/5))**32/((((z*z**(-4/19)/z)/z)/z)/z**34))**(-2/39) assuming z is positive.\n' | b'z**(6496/3705)\n' | deepmind/math_dataset |
b'Let u(p) be the first derivative of 61*p**6/6 - 44*p**3/3 + 45. What is the third derivative of u(g) wrt g?\n' | b'3660*g**2\n' | b'Let u(p) be the first derivative of 61*p**6/6 - 44*p**3/3 + 45. What is the third derivative of u(g) wrt g?\n' | b'3660*g**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uddddzuzdduufuuduuf. Give prob of sequence zdz.\n' | b'7/2907\n' | b'Three letters picked without replacement from uddddzuzdduufuuduuf. Give prob of sequence zdz.\n' | b'7/2907\n' | deepmind/math_dataset |
b'Let j(r) = -2*r - 13. Let m(k) = 1. Let i(d) = j(d) + 4*m(d). Let q be i(-6). Suppose -2*y = 4*o + 4, q = o - 2*y + 9. Let f(z) = 2*z + 2. Calculate f(o).\n' | b'-2\n' | b'Let j(r) = -2*r - 13. Let m(k) = 1. Let i(d) = j(d) + 4*m(d). Let q be i(-6). Suppose -2*y = 4*o + 4, q = o - 2*y + 9. Let f(z) = 2*z + 2. Calculate f(o).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 14*l - 11 = 22 + 23. Solve 0 = 5*z - o + 24, o = l*z + 2 + 17 for z.\n' | b'-5\n' | b'Suppose 14*l - 11 = 22 + 23. Solve 0 = 5*z - o + 24, o = l*z + 2 + 17 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (q**(-7)/q*q)/q*q/(q*q*q**1)*(q**(-2))**(-1/39) assuming q is positive.\n' | b'q**(-388/39)\n' | b'Simplify (q**(-7)/q*q)/q*q/(q*q*q**1)*(q**(-2))**(-1/39) assuming q is positive.\n' | b'q**(-388/39)\n' | deepmind/math_dataset |
b'Simplify (w**(4/7)*w**(-16/5)*w)/(w*w*w*w/((w/w**13)/w)*w)**(-27) assuming w is positive.\n' | b'w**(16953/35)\n' | b'Simplify (w**(4/7)*w**(-16/5)*w)/(w*w*w*w/((w/w**13)/w)*w)**(-27) assuming w is positive.\n' | b'w**(16953/35)\n' | deepmind/math_dataset |
b'Let l(v) = v**2 - v**3 - 356 + 356 + v. Suppose 0*n + n = 2. Determine l(n).\n' | b'-2\n' | b'Let l(v) = v**2 - v**3 - 356 + 356 + v. Suppose 0*n + n = 2. Determine l(n).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -26 = 4*s + 22. Let g be 1 + 3*(-8)/s. Solve -4*l + 3 = g*i, 2*l + i - 8 = 3*l for l.\n' | b'-3\n' | b'Suppose -26 = 4*s + 22. Let g be 1 + 3*(-8)/s. Solve -4*l + 3 = g*i, 2*l + i - 8 = 3*l for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (a**(-9)*a*a)**29/(a**(1/6)/a)**6 assuming a is positive.\n' | b'a**(-198)\n' | b'Simplify (a**(-9)*a*a)**29/(a**(1/6)/a)**6 assuming a is positive.\n' | b'a**(-198)\n' | deepmind/math_dataset |
b'Let d = -10 - -14. Solve 26 = -4*z - 2*u, d*z - 2*z - 5*u - 17 = 0 for z.\n' | b'-4\n' | b'Let d = -10 - -14. Solve 26 = -4*z - 2*u, d*z - 2*z - 5*u - 17 = 0 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Differentiate 0*d**4 + 2*d**4 - 4*d**4 - 6*d**4 + 4 wrt d.\n' | b'-32*d**3\n' | b'Differentiate 0*d**4 + 2*d**4 - 4*d**4 - 6*d**4 + 4 wrt d.\n' | b'-32*d**3\n' | deepmind/math_dataset |
b'Let z(m) be the third derivative of 373*m**6/120 - 167*m**5/60 + m**2 - 47. Find the third derivative of z(d) wrt d.\n' | b'2238\n' | b'Let z(m) be the third derivative of 373*m**6/120 - 167*m**5/60 + m**2 - 47. Find the third derivative of z(d) wrt d.\n' | b'2238\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjjjjjjjjqjja. Give prob of picking 3 j.\n' | b'15/26\n' | b'Three letters picked without replacement from jjjjjjjjjqjja. Give prob of picking 3 j.\n' | b'15/26\n' | deepmind/math_dataset |
b'What is the second derivative of 189*v**4 + v + 5*v - 214*v**4 wrt v?\n' | b'-300*v**2\n' | b'What is the second derivative of 189*v**4 + v + 5*v - 214*v**4 wrt v?\n' | b'-300*v**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lhltllhttptlhhtth. Give prob of picking 2 l, 1 t, and 1 p.\n' | b'3/119\n' | b'Four letters picked without replacement from lhltllhttptlhhtth. Give prob of picking 2 l, 1 t, and 1 p.\n' | b'3/119\n' | deepmind/math_dataset |
b'Let p(k) = 38*k**2 - 49*k - 1895. Let q(o) = 53*o**2 - 74*o - 2843. Let t(j) = -7*p(j) + 5*q(j). What is the first derivative of t(y) wrt y?\n' | b'-2*y - 27\n' | b'Let p(k) = 38*k**2 - 49*k - 1895. Let q(o) = 53*o**2 - 74*o - 2843. Let t(j) = -7*p(j) + 5*q(j). What is the first derivative of t(y) wrt y?\n' | b'-2*y - 27\n' | deepmind/math_dataset |
b'Calculate prob of sequence hf when two letters picked without replacement from rrrrfccqhrqqkffcrqq.\n' | b'1/114\n' | b'Calculate prob of sequence hf when two letters picked without replacement from rrrrfccqhrqqkffcrqq.\n' | b'1/114\n' | deepmind/math_dataset |
b'Find the second derivative of -96*y**2 + 117*y + 7*y**5 + 188*y**2 - 85*y**2 wrt y.\n' | b'140*y**3 + 14\n' | b'Find the second derivative of -96*y**2 + 117*y + 7*y**5 + 188*y**2 - 85*y**2 wrt y.\n' | b'140*y**3 + 14\n' | deepmind/math_dataset |
b'Let f(a) = -2*a**3 + 4*a**2 + 30*a - 70. Let k be f(3). Let q(m) = 2*m**2 - 3*m. Determine q(k).\n' | b'2\n' | b'Let f(a) = -2*a**3 + 4*a**2 + 30*a - 70. Let k be f(3). Let q(m) = 2*m**2 - 3*m. Determine q(k).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((a*a/(a/(a**(-11)/a*a*a)))/a*a*a)**(-22)*a*a/((a/(a/((a*a**(2/19))/a*a)))/a)*a/a**(-22) assuming a is positive.\n' | b'a**(3817/19)\n' | b'Simplify ((a*a/(a/(a**(-11)/a*a*a)))/a*a*a)**(-22)*a*a/((a/(a/((a*a**(2/19))/a*a)))/a)*a/a**(-22) assuming a is positive.\n' | b'a**(3817/19)\n' | deepmind/math_dataset |
b'Suppose -168 + 79 = 35*z - 124. Solve -7*j + 6*j = -2*t - 5, -5*t + z = 2*j for j.\n' | b'3\n' | b'Suppose -168 + 79 = 35*z - 124. Solve -7*j + 6*j = -2*t - 5, -5*t + z = 2*j for j.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence rrcc when four letters picked without replacement from {r: 7, a: 9, c: 3}?\n' | b'7/2584\n' | b'What is prob of sequence rrcc when four letters picked without replacement from {r: 7, a: 9, c: 3}?\n' | b'7/2584\n' | deepmind/math_dataset |
b'Let w(r) = -2*r + 11*r**2 - 5*r**2 + 2*r**3 - 7*r**2. What is w(-2)?\n' | b'-16\n' | b'Let w(r) = -2*r + 11*r**2 - 5*r**2 + 2*r**3 - 7*r**2. What is w(-2)?\n' | b'-16\n' | deepmind/math_dataset |
b'Let t be (-2)/((-7)/((-28)/(-8))) - -22. Suppose -25*f = -t*f - 6. Solve 0 = -f*x - x + 4*v - 16, -3*x - 18 = -5*v for x.\n' | b'-1\n' | b'Let t be (-2)/((-7)/((-28)/(-8))) - -22. Suppose -25*f = -t*f - 6. Solve 0 = -f*x - x + 4*v - 16, -3*x - 18 = -5*v for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(w) = w + 1. Let d be y(1). Let g be (0/5)/(d - 1). Solve g = 3*f + 3*o - 15, 0 = -f + o - 2 - 3 for f.\n' | b'0\n' | b'Let y(w) = w + 1. Let d be y(1). Let g be (0/5)/(d - 1). Solve g = 3*f + 3*o - 15, 0 = -f + o - 2 - 3 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jzkojojojjzkzzjkjol. What is prob of picking 4 z?\n' | b'1/3876\n' | b'Four letters picked without replacement from jzkojojojjzkzzjkjol. What is prob of picking 4 z?\n' | b'1/3876\n' | deepmind/math_dataset |
b'Let j = -5 - -7. Let q be ((-9)/(-6) - j)*-8. Let t = 1 + q. Solve b + 2*b - w = 11, -w = t*b - 29 for b.\n' | b'5\n' | b'Let j = -5 - -7. Let q be ((-9)/(-6) - j)*-8. Let t = 1 + q. Solve b + 2*b - w = 11, -w = t*b - 29 for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let k(b) = b**3 + 4*b**2 + b - 4. Suppose -2*d = 3*i - 9, 6*i = d + 3*i + 18. Let h be k(d). Solve h*s = -4*r + r - 13, -s = 2*r + 8 for r.\n' | b'-3\n' | b'Let k(b) = b**3 + 4*b**2 + b - 4. Suppose -2*d = 3*i - 9, 6*i = d + 3*i + 18. Let h be k(d). Solve h*s = -4*r + r - 13, -s = 2*r + 8 for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Let x(o) = 2*o**3 + 10*o**2 - 13. Let v(h) = 5*h**3 + 29*h**2 + h - 38. Let b(j) = -3*v(j) + 8*x(j). Determine b(5).\n' | b'-55\n' | b'Let x(o) = 2*o**3 + 10*o**2 - 13. Let v(h) = 5*h**3 + 29*h**2 + h - 38. Let b(j) = -3*v(j) + 8*x(j). Determine b(5).\n' | b'-55\n' | deepmind/math_dataset |
b'Let m be 3*2/(-36) - 532/(-168). Solve -4*n + l - m*l = -30, 2*n + 5 = 3*l for n.\n' | b'5\n' | b'Let m be 3*2/(-36) - 532/(-168). Solve -4*n + l - m*l = -30, 2*n + 5 = 3*l for n.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence tczh when four letters picked without replacement from cjthczjjjj.\n' | b'1/2520\n' | b'Calculate prob of sequence tczh when four letters picked without replacement from cjthczjjjj.\n' | b'1/2520\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dcccdcd. Give prob of picking 2 d and 2 c.\n' | b'18/35\n' | b'Four letters picked without replacement from dcccdcd. Give prob of picking 2 d and 2 c.\n' | b'18/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence uu when two letters picked without replacement from eueuueeeeeeueeue.\n' | b'1/12\n' | b'Calculate prob of sequence uu when two letters picked without replacement from eueuueeeeeeueeue.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let p = -27 - -30. Differentiate -8*u**p + 2*u**3 + 20*u**3 - 9 wrt u.\n' | b'42*u**2\n' | b'Let p = -27 - -30. Differentiate -8*u**p + 2*u**3 + 20*u**3 - 9 wrt u.\n' | b'42*u**2\n' | deepmind/math_dataset |
b'What is prob of sequence yp when two letters picked without replacement from {p: 1, m: 1, w: 1, y: 1, u: 1}?\n' | b'1/20\n' | b'What is prob of sequence yp when two letters picked without replacement from {p: 1, m: 1, w: 1, y: 1, u: 1}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (n*(((n*n**0)/n*n*n)/n)/n)**(-19)*(n*n**(-1)*n)/(n/(n/n**(-2/3))) assuming n is positive.\n' | b'n**(-52/3)\n' | b'Simplify (n*(((n*n**0)/n*n*n)/n)/n)**(-19)*(n*n**(-1)*n)/(n/(n/n**(-2/3))) assuming n is positive.\n' | b'n**(-52/3)\n' | deepmind/math_dataset |
b'Let a(x) = x**3 + 4*x**2 - 5*x - 5. Let j be 32/20*(-30)/(-4). Suppose -3*b - j = 3. Calculate a(b).\n' | b'-5\n' | b'Let a(x) = x**3 + 4*x**2 - 5*x - 5. Let j be 32/20*(-30)/(-4). Suppose -3*b - j = 3. Calculate a(b).\n' | b'-5\n' | deepmind/math_dataset |
b'Let j(o) be the second derivative of o**4/6 + o**2/2 + 16*o. What is j(-1)?\n' | b'3\n' | b'Let j(o) be the second derivative of o**4/6 + o**2/2 + 16*o. What is j(-1)?\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((y/y**(3/17)*y)/(y**6/y))/(y*y/(y*y**(2/9))*y)**(-3/5) assuming y is positive.\n' | b'y**(-538/255)\n' | b'Simplify ((y/y**(3/17)*y)/(y**6/y))/(y*y/(y*y**(2/9))*y)**(-3/5) assuming y is positive.\n' | b'y**(-538/255)\n' | deepmind/math_dataset |
b'Let g(r) be the third derivative of r**4/12 - 79*r**3/6 - 5*r**2 + 434*r + 2. Give g(11).\n' | b'-57\n' | b'Let g(r) be the third derivative of r**4/12 - 79*r**3/6 - 5*r**2 + 434*r + 2. Give g(11).\n' | b'-57\n' | deepmind/math_dataset |
b'What is prob of sequence do when two letters picked without replacement from {o: 1, f: 1, d: 1}?\n' | b'1/6\n' | b'What is prob of sequence do when two letters picked without replacement from {o: 1, f: 1, d: 1}?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence wu when two letters picked without replacement from {z: 1, x: 2, w: 1, j: 1, u: 1, m: 1}.\n' | b'1/42\n' | b'Calculate prob of sequence wu when two letters picked without replacement from {z: 1, x: 2, w: 1, j: 1, u: 1, m: 1}.\n' | b'1/42\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {j: 8, h: 2, l: 3, w: 4, d: 2, p: 1}. What is prob of picking 1 j, 2 w, and 1 p?\n' | b'16/1615\n' | b'Four letters picked without replacement from {j: 8, h: 2, l: 3, w: 4, d: 2, p: 1}. What is prob of picking 1 j, 2 w, and 1 p?\n' | b'16/1615\n' | deepmind/math_dataset |
b'Suppose -3*a + 22 = 8*a. Let c be 7 + ((4 - 1)/(-3) - a). Solve 0*i + 2*b = -i + 7, -4*i = c*b - 8 for i.\n' | b'-3\n' | b'Suppose -3*a + 22 = 8*a. Let c be 7 + ((4 - 1)/(-3) - a). Solve 0*i + 2*b = -i + 7, -4*i = c*b - 8 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y = 16 + -12. Let k(l) be the first derivative of 0*l**3 + 3/4*l**y - 4 - l + 0*l**2. Find the first derivative of k(g) wrt g.\n' | b'9*g**2\n' | b'Let y = 16 + -12. Let k(l) be the first derivative of 0*l**3 + 3/4*l**y - 4 - l + 0*l**2. Find the first derivative of k(g) wrt g.\n' | b'9*g**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qxxgqqgqcxqgc. Give prob of sequence gx.\n' | b'3/52\n' | b'Two letters picked without replacement from qxxgqqgqcxqgc. Give prob of sequence gx.\n' | b'3/52\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkzzzzkigzgzjjgzbg. Give prob of sequence zjkb.\n' | b'7/12240\n' | b'Four letters picked without replacement from kkzzzzkigzgzjjgzbg. Give prob of sequence zjkb.\n' | b'7/12240\n' | deepmind/math_dataset |
b'Let z(t) = 2*t**3 - t**2 + t + 1. Let r(h) = 3*h**3 - h**2 + h - 5. Let f(d) = r(d) + 2*z(d). What is f(2)?\n' | b'47\n' | b'Let z(t) = 2*t**3 - t**2 + t + 1. Let r(h) = 3*h**3 - h**2 + h - 5. Let f(d) = r(d) + 2*z(d). What is f(2)?\n' | b'47\n' | deepmind/math_dataset |
b'Let v(j) = -2*j**2 + 46*j + 12. Let f(l) = -2*l**2 - 12*l + 7. Let q be f(-2). What is v(q)?\n' | b'12\n' | b'Let v(j) = -2*j**2 + 46*j + 12. Let f(l) = -2*l**2 - 12*l + 7. Let q be f(-2). What is v(q)?\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {z: 2, d: 1, u: 6, e: 1, x: 2}.\n' | b'1/33\n' | b'Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {z: 2, d: 1, u: 6, e: 1, x: 2}.\n' | b'1/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vkiokkxkoxxxkkdo. Give prob of picking 1 k and 1 x.\n' | b'1/5\n' | b'Two letters picked without replacement from vkiokkxkoxxxkkdo. Give prob of picking 1 k and 1 x.\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, n: 7, r: 1, y: 4}. What is prob of sequence yn?\n' | b'7/39\n' | b'Two letters picked without replacement from {f: 1, n: 7, r: 1, y: 4}. What is prob of sequence yn?\n' | b'7/39\n' | deepmind/math_dataset |
b'Simplify (j/((j**(-7/2)/j)/j))**(-16) assuming j is positive.\n' | b'j**(-104)\n' | b'Simplify (j/((j**(-7/2)/j)/j))**(-16) assuming j is positive.\n' | b'j**(-104)\n' | deepmind/math_dataset |
b'Let f(t) be the first derivative of 4*t**2 - 19*t - 14. Differentiate f(j) with respect to j.\n' | b'8\n' | b'Let f(t) be the first derivative of 4*t**2 - 19*t - 14. Differentiate f(j) with respect to j.\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 150 = -5*l + 20*l. Solve -2*j - u + l = -j, -4*u = 3*j - 35 for j.\n' | b'5\n' | b'Suppose 150 = -5*l + 20*l. Solve -2*j - u + l = -j, -4*u = 3*j - 35 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Let z be (-4)/(-3)*(-18)/(-12). Solve z*j + x + 0*x + 5 = 0, 4*j = -x - 15 for j.\n' | b'-5\n' | b'Let z be (-4)/(-3)*(-18)/(-12). Solve z*j + x + 0*x + 5 = 0, 4*j = -x - 15 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(p) = -p**3 + 4*p + 2. Let s be f(-2). Let j(x) = -44 + 8*x - x**2 + 61 - 37 + s*x. Let q be j(6). Let h(y) = y**2 - 3*y + 4. Determine h(q).\n' | b'8\n' | b'Let f(p) = -p**3 + 4*p + 2. Let s be f(-2). Let j(x) = -44 + 8*x - x**2 + 61 - 37 + s*x. Let q be j(6). Let h(y) = y**2 - 3*y + 4. Determine h(q).\n' | b'8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 2, i: 2, r: 5, v: 11}. Give prob of picking 1 r and 2 w.\n' | b'1/228\n' | b'Three letters picked without replacement from {w: 2, i: 2, r: 5, v: 11}. Give prob of picking 1 r and 2 w.\n' | b'1/228\n' | deepmind/math_dataset |
b'Let s = 16 - 11. Let n(v) be the first derivative of -v**5/20 + 5*v**4/12 + v**3/6 - 7*v**2/2 - v + 2. Let q(k) be the first derivative of n(k). Calculate q(s).\n' | b'-2\n' | b'Let s = 16 - 11. Let n(v) be the first derivative of -v**5/20 + 5*v**4/12 + v**3/6 - 7*v**2/2 - v + 2. Let q(k) be the first derivative of n(k). Calculate q(s).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence dy when two letters picked without replacement from {o: 1, p: 1, d: 11, y: 1, r: 1}?\n' | b'11/210\n' | b'What is prob of sequence dy when two letters picked without replacement from {o: 1, p: 1, d: 11, y: 1, r: 1}?\n' | b'11/210\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {r: 2, b: 5, p: 7}.\n' | b'3/13\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {r: 2, b: 5, p: 7}.\n' | b'3/13\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwwoggwvgwwwwvgg. Give prob of picking 2 g, 1 w, and 1 v.\n' | b'8/91\n' | b'Four letters picked without replacement from wwwoggwvgwwwwvgg. Give prob of picking 2 g, 1 w, and 1 v.\n' | b'8/91\n' | deepmind/math_dataset |
b'Suppose 14 = 3*v - 2*u, -2*v - 4*u - 16 = -6*v. Suppose -o = 2 - v. Let j be (o/4)/((-1)/(-3)). Solve 5*k + 4 = j*x - 12, 4*x - k - 10 = 0 for x.\n' | b'2\n' | b'Suppose 14 = 3*v - 2*u, -2*v - 4*u - 16 = -6*v. Suppose -o = 2 - v. Let j be (o/4)/((-1)/(-3)). Solve 5*k + 4 = j*x - 12, 4*x - k - 10 = 0 for x.\n' | b'2\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.