question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
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b'Suppose 0 = -2*i + a + 2, 3*a = -4*i + 7*a. Suppose 17 = -2*d - 3*p, -4*d + 0*p + 1 = -p. Let j = d + 6. Solve f + i*m - 22 = j*f, -2*f = m + 5 for f.\n' | b'-4\n' | b'Suppose 0 = -2*i + a + 2, 3*a = -4*i + 7*a. Suppose 17 = -2*d - 3*p, -4*d + 0*p + 1 = -p. Let j = d + 6. Solve f + i*m - 22 = j*f, -2*f = m + 5 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 5, f: 2, m: 3}. Give prob of picking 2 p.\n' | b'2/9\n' | b'Two letters picked without replacement from {p: 5, f: 2, m: 3}. Give prob of picking 2 p.\n' | b'2/9\n' | deepmind/math_dataset |
b'Calculate prob of sequence upp when three letters picked without replacement from lluccupcuzzpc.\n' | b'1/286\n' | b'Calculate prob of sequence upp when three letters picked without replacement from lluccupcuzzpc.\n' | b'1/286\n' | deepmind/math_dataset |
b'Let y = 17 - 7. Solve -3*k - 5*f = -k - 13, -4*k - y = -2*f for k.\n' | b'-1\n' | b'Let y = 17 - 7. Solve -3*k - 5*f = -k - 13, -4*k - y = -2*f for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w = 14 + -8. Let p(v) = w*v - 2*v - 4 + 1 - 1. Let q be p(3). Solve 4*f - 5*b = -q, -3*b + 5 = -f - b for f.\n' | b'3\n' | b'Let w = 14 + -8. Let p(v) = w*v - 2*v - 4 + 1 - 1. Let q be p(3). Solve 4*f - 5*b = -q, -3*b + 5 = -f - b for f.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, o: 3, c: 1, x: 5}. Give prob of sequence oc.\n' | b'1/30\n' | b'Two letters picked without replacement from {y: 1, o: 3, c: 1, x: 5}. Give prob of sequence oc.\n' | b'1/30\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 1, v: 2, t: 1, j: 4, k: 1}. Give prob of picking 1 m and 3 j.\n' | b'2/63\n' | b'Four letters picked without replacement from {m: 1, v: 2, t: 1, j: 4, k: 1}. Give prob of picking 1 m and 3 j.\n' | b'2/63\n' | deepmind/math_dataset |
b'Simplify o*o**(-2/29)*o*o*o*o/(o**(-10/13)*o)*o*o assuming o is positive.\n' | b'o**(2526/377)\n' | b'Simplify o*o**(-2/29)*o*o*o*o/(o**(-10/13)*o)*o*o assuming o is positive.\n' | b'o**(2526/377)\n' | deepmind/math_dataset |
b'Simplify ((((h**(1/2)*h*h)/h*h*h)**(-19))**(-4/11))**(-4/13) assuming h is positive.\n' | b'h**(-1064/143)\n' | b'Simplify ((((h**(1/2)*h*h)/h*h*h)**(-19))**(-4/11))**(-4/13) assuming h is positive.\n' | b'h**(-1064/143)\n' | deepmind/math_dataset |
b'Suppose 18 = 5*t - m, 2*t - 2*m - 8 + 4 = 0. Solve r = 3*j, 2*j - 11 = r - t*r for r.\n' | b'3\n' | b'Suppose 18 = 5*t - m, 2*t - 2*m - 8 + 4 = 0. Solve r = 3*j, 2*j - 11 = r - t*r for r.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -7*g + 4*g + 29 = 4*a, a = -2*g + 11. Suppose 3*w + 2*c + c = 90, 0 = -3*w + a*c + 66. Suppose w = 7*m - 1. Solve -v = 4, 4 = u - m*v + 3*v for u.\n' | b'0\n' | b'Suppose -7*g + 4*g + 29 = 4*a, a = -2*g + 11. Suppose 3*w + 2*c + c = 90, 0 = -3*w + a*c + 66. Suppose w = 7*m - 1. Solve -v = 4, 4 = u - m*v + 3*v for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(l) = -l - 66*l**3 + 29*l**3 - 2 + l**2 + 36*l**3. What is i(0)?\n' | b'-2\n' | b'Let i(l) = -l - 66*l**3 + 29*l**3 - 2 + l**2 + 36*l**3. What is i(0)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let c be -2*6*3/9. Let g be -2*2/(-8)*0. Let m(a) = 4 + g*a**2 + 2*a + a**2 - 5. Give m(c).\n' | b'7\n' | b'Let c be -2*6*3/9. Let g be -2*2/(-8)*0. Let m(a) = 4 + g*a**2 + 2*a + a**2 - 5. Give m(c).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ssjmsssst. Give prob of picking 2 s, 1 m, and 1 t.\n' | b'5/42\n' | b'Four letters picked without replacement from ssjmsssst. Give prob of picking 2 s, 1 m, and 1 t.\n' | b'5/42\n' | deepmind/math_dataset |
b'Simplify (u**0)**32*(u/u**1*u)**(-30) assuming u is positive.\n' | b'u**(-30)\n' | b'Simplify (u**0)**32*(u/u**1*u)**(-30) assuming u is positive.\n' | b'u**(-30)\n' | deepmind/math_dataset |
b'Let x(j) be the second derivative of -2*j**6/15 - 5*j**3/6 - 32*j**2 - 2*j + 23. Differentiate x(a) wrt a.\n' | b'-16*a**3 - 5\n' | b'Let x(j) be the second derivative of -2*j**6/15 - 5*j**3/6 - 32*j**2 - 2*j + 23. Differentiate x(a) wrt a.\n' | b'-16*a**3 - 5\n' | deepmind/math_dataset |
b'Let v be -3 + 9/4 - (-15)/20*5. Solve -24*x + 28*x = u - 15, v*u - 5*x = 24 for u.\n' | b'3\n' | b'Let v be -3 + 9/4 - (-15)/20*5. Solve -24*x + 28*x = u - 15, v*u - 5*x = 24 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let d(q) be the first derivative of -q**4/4 - 47*q**3/3 + 531*q + 144. Differentiate d(h) wrt h.\n' | b'-3*h**2 - 94*h\n' | b'Let d(q) be the first derivative of -q**4/4 - 47*q**3/3 + 531*q + 144. Differentiate d(h) wrt h.\n' | b'-3*h**2 - 94*h\n' | deepmind/math_dataset |
b'What is prob of picking 3 j when three letters picked without replacement from {j: 9, m: 5}?\n' | b'3/13\n' | b'What is prob of picking 3 j when three letters picked without replacement from {j: 9, m: 5}?\n' | b'3/13\n' | deepmind/math_dataset |
b'Suppose -2*i + m + 4 = 0, 3*i - 1 = -2*i - 2*m. Let p = -1 - i. Let n(t) be the first derivative of t**3/3 - t**2/2 - 2*t + 40. What is n(p)?\n' | b'4\n' | b'Suppose -2*i + m + 4 = 0, 3*i - 1 = -2*i - 2*m. Let p = -1 - i. Let n(t) be the first derivative of t**3/3 - t**2/2 - 2*t + 40. What is n(p)?\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, c: 1, r: 1, y: 1, i: 1, f: 2}. What is prob of sequence fj?\n' | b'1/21\n' | b'Two letters picked without replacement from {j: 1, c: 1, r: 1, y: 1, i: 1, f: 2}. What is prob of sequence fj?\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wtttzwztzzztt. What is prob of sequence tzwz?\n' | b'2/143\n' | b'Four letters picked without replacement from wtttzwztzzztt. What is prob of sequence tzwz?\n' | b'2/143\n' | deepmind/math_dataset |
b'Let m(b) = b - 17. Let y be m(17). Let o(s) be the second derivative of y - 3*s + 0*s**3 - s**2 - 1/12*s**4. Find the first derivative of o(k) wrt k.\n' | b'-2*k\n' | b'Let m(b) = b - 17. Let y be m(17). Let o(s) be the second derivative of y - 3*s + 0*s**3 - s**2 - 1/12*s**4. Find the first derivative of o(k) wrt k.\n' | b'-2*k\n' | deepmind/math_dataset |
b'Suppose 3*r = -5*z - 11, -3*z + z + 5*r = -8. Let o(p) = -p + 1. Let h(m) = 70*m + 64. Let x(j) = z*h(j) + 10*o(j). What is the derivative of x(s) wrt s?\n' | b'-80\n' | b'Suppose 3*r = -5*z - 11, -3*z + z + 5*r = -8. Let o(p) = -p + 1. Let h(m) = 70*m + 64. Let x(j) = z*h(j) + 10*o(j). What is the derivative of x(s) wrt s?\n' | b'-80\n' | deepmind/math_dataset |
b'What is prob of sequence ppby when four letters picked without replacement from {p: 3, n: 5, b: 2, y: 2}?\n' | b'1/495\n' | b'What is prob of sequence ppby when four letters picked without replacement from {p: 3, n: 5, b: 2, y: 2}?\n' | b'1/495\n' | deepmind/math_dataset |
b'Let o(q) = -q**3 - 20*q**2 - 18*q + 4. Let j be o(-19). Let a = j + 19. Solve -a*h = -4*u - 4, -4*h - 3 = -2*u + 5*u for u.\n' | b'-1\n' | b'Let o(q) = -q**3 - 20*q**2 - 18*q + 4. Let j be o(-19). Let a = j + 19. Solve -a*h = -4*u - 4, -4*h - 3 = -2*u + 5*u for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Let i be (-7 - -6) + 21*1. Solve -5*q = -y - i, -4*q + 35 = 6*y - 3*y for y.\n' | b'5\n' | b'Let i be (-7 - -6) + 21*1. Solve -5*q = -y - i, -4*q + 35 = 6*y - 3*y for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let h be (-2)/6*(-18)/6*11. Suppose -h*r - 15 = -14*r. Suppose -5*c = 2*a + 1, 0 = 3*a - 4*a + r*c + 7. Solve y = -z - 8, 0 = a*z + 6*y - 3*y + 19 for z.\n' | b'-5\n' | b'Let h be (-2)/6*(-18)/6*11. Suppose -h*r - 15 = -14*r. Suppose -5*c = 2*a + 1, 0 = 3*a - 4*a + r*c + 7. Solve y = -z - 8, 0 = a*z + 6*y - 3*y + 19 for z.\n' | b'-5\n' | deepmind/math_dataset |
b'Let y = 11 + -13. Let u = y + 4. Solve u*i - 2*q - 2*q = -26, 3*i = -5*q + 16 for i.\n' | b'-3\n' | b'Let y = 11 + -13. Let u = y + 4. Solve u*i - 2*q - 2*q = -26, 3*i = -5*q + 16 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, u: 1, w: 1, x: 2, t: 1, c: 2}. What is prob of sequence ux?\n' | b'1/28\n' | b'Two letters picked without replacement from {y: 1, u: 1, w: 1, x: 2, t: 1, c: 2}. What is prob of sequence ux?\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iewriuu. What is prob of sequence uu?\n' | b'1/21\n' | b'Two letters picked without replacement from iewriuu. What is prob of sequence uu?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (((h**2)**(3/26)*(h/(h*h**(-2/5)/h))**(4/17))**25)**(-35) assuming h is positive.\n' | b'h**(-108325/221)\n' | b'Simplify (((h**2)**(3/26)*(h/(h*h**(-2/5)/h))**(4/17))**25)**(-35) assuming h is positive.\n' | b'h**(-108325/221)\n' | deepmind/math_dataset |
b'Simplify (r/r**0*r**(3/5))/((r/((r/(r*r**(3/4))*r)/r))/((r*r/((r*r**(-5))/r)*r)/r))*(((r**(-2/9)/r)/r)**(-2/19))**(-39) assuming r is positive.\n' | b'r**(-2591/1140)\n' | b'Simplify (r/r**0*r**(3/5))/((r/((r/(r*r**(3/4))*r)/r))/((r*r/((r*r**(-5))/r)*r)/r))*(((r**(-2/9)/r)/r)**(-2/19))**(-39) assuming r is positive.\n' | b'r**(-2591/1140)\n' | deepmind/math_dataset |
b'Suppose -3*o - 2*o = 0. Solve 0 = -3*m - z + 3*z - 11, -3*m - 3*z - 6 = o for m.\n' | b'-3\n' | b'Suppose -3*o - 2*o = 0. Solve 0 = -3*m - z + 3*z - 11, -3*m - 3*z - 6 = o for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(n) = n**2 + 6*n - 4. Let y(i) = i**3 + 3*i**2 + 3*i + 3. Let b be y(-3). Calculate j(b).\n' | b'-4\n' | b'Let j(n) = n**2 + 6*n - 4. Let y(i) = i**3 + 3*i**2 + 3*i + 3. Let b be y(-3). Calculate j(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -109*y = 264*y - 1492. Let u(l) be the second derivative of 1/12*l**y + 0 - 15/2*l**2 + 0*l**3 + 35*l. Give u(0).\n' | b'-15\n' | b'Suppose -109*y = 264*y - 1492. Let u(l) be the second derivative of 1/12*l**y + 0 - 15/2*l**2 + 0*l**3 + 35*l. Give u(0).\n' | b'-15\n' | deepmind/math_dataset |
b'What is prob of sequence trt when three letters picked without replacement from trttttttrrt?\n' | b'28/165\n' | b'What is prob of sequence trt when three letters picked without replacement from trttttttrrt?\n' | b'28/165\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 3, q: 13}. Give prob of sequence qq.\n' | b'13/20\n' | b'Two letters picked without replacement from {h: 3, q: 13}. Give prob of sequence qq.\n' | b'13/20\n' | deepmind/math_dataset |
b'Suppose -1337*y + 9 = -1334*y. Solve 2*b - 14*s = -15*s + y, -4*s = 5*b - 9 for b.\n' | b'1\n' | b'Suppose -1337*y + 9 = -1334*y. Solve 2*b - 14*s = -15*s + y, -4*s = 5*b - 9 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (f**18*f*f**7*f)/(f**19/((f*f**(-3/8))/f)) assuming f is positive.\n' | b'f**(61/8)\n' | b'Simplify (f**18*f*f**7*f)/(f**19/((f*f**(-3/8))/f)) assuming f is positive.\n' | b'f**(61/8)\n' | deepmind/math_dataset |
b'Simplify (g**(-7))**(-2/49) assuming g is positive.\n' | b'g**(2/7)\n' | b'Simplify (g**(-7))**(-2/49) assuming g is positive.\n' | b'g**(2/7)\n' | deepmind/math_dataset |
b'Let s(p) = p**3 + p**2 - p - 1. Let b = 5 + -6. Let c(i) = 4*i**3 + 6*i**2 - 6*i - 3. Let w(v) = b*c(v) + 6*s(v). Find the first derivative of w(l) wrt l.\n' | b'6*l**2\n' | b'Let s(p) = p**3 + p**2 - p - 1. Let b = 5 + -6. Let c(i) = 4*i**3 + 6*i**2 - 6*i - 3. Let w(v) = b*c(v) + 6*s(v). Find the first derivative of w(l) wrt l.\n' | b'6*l**2\n' | deepmind/math_dataset |
b'Simplify l**(3/2)*l/(l**(-10)*l*l)*(l**1)**(-2/65) assuming l is positive.\n' | b'l**(1361/130)\n' | b'Simplify l**(3/2)*l/(l**(-10)*l*l)*(l**1)**(-2/65) assuming l is positive.\n' | b'l**(1361/130)\n' | deepmind/math_dataset |
b'Let p(s) = -8*s + 76. Suppose 108 = 82*f - 70*f. Calculate p(f).\n' | b'4\n' | b'Let p(s) = -8*s + 76. Suppose 108 = 82*f - 70*f. Calculate p(f).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (o**(-42))**(2/47) assuming o is positive.\n' | b'o**(-84/47)\n' | b'Simplify (o**(-42))**(2/47) assuming o is positive.\n' | b'o**(-84/47)\n' | deepmind/math_dataset |
b'Find the first derivative of -23 - 3*c - 2*c - 34*c wrt c.\n' | b'-39\n' | b'Find the first derivative of -23 - 3*c - 2*c - 34*c wrt c.\n' | b'-39\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 l when two letters picked without replacement from mhmlmvlhm.\n' | b'1/18\n' | b'Calculate prob of picking 1 v and 1 l when two letters picked without replacement from mhmlmvlhm.\n' | b'1/18\n' | deepmind/math_dataset |
b'Let b be -3 + 6 + (1 - 2). Let t(o) = -3 + b + 0 + 5*o - o. Let s(f) = 7*f - 1. Let y(j) = 3*s(j) - 5*t(j). Calculate y(5).\n' | b'7\n' | b'Let b be -3 + 6 + (1 - 2). Let t(o) = -3 + b + 0 + 5*o - o. Let s(f) = 7*f - 1. Let y(j) = 3*s(j) - 5*t(j). Calculate y(5).\n' | b'7\n' | deepmind/math_dataset |
b'Let q(z) be the first derivative of 5*z**6 + 3*z**2 + 7*z - 264. What is the second derivative of q(r) wrt r?\n' | b'600*r**3\n' | b'Let q(z) be the first derivative of 5*z**6 + 3*z**2 + 7*z - 264. What is the second derivative of q(r) wrt r?\n' | b'600*r**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence fqf when three letters picked without replacement from qfqqfqf.\n' | b'4/35\n' | b'Calculate prob of sequence fqf when three letters picked without replacement from qfqqfqf.\n' | b'4/35\n' | deepmind/math_dataset |
b'Let v(m) = -m**2 + 4. Let u be v(0). Suppose 42 = 463*w - 456*w. What is the third derivative of 3*o**2 - u*o**w - o**2 - o**2 wrt o?\n' | b'-480*o**3\n' | b'Let v(m) = -m**2 + 4. Let u be v(0). Suppose 42 = 463*w - 456*w. What is the third derivative of 3*o**2 - u*o**w - o**2 - o**2 wrt o?\n' | b'-480*o**3\n' | deepmind/math_dataset |
b'Let u(b) be the first derivative of -3*b**2/2 - b + 1. Let k be u(2). Let o = -11 - k. Let j(n) = n**3 + 5*n**2 + 5*n + 2. Give j(o).\n' | b'-2\n' | b'Let u(b) be the first derivative of -3*b**2/2 - b + 1. Let k be u(2). Let o = -11 - k. Let j(n) = n**3 + 5*n**2 + 5*n + 2. Give j(o).\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence qcz when three letters picked without replacement from {c: 1, z: 3, t: 1, a: 1, q: 1}?\n' | b'1/70\n' | b'What is prob of sequence qcz when three letters picked without replacement from {c: 1, z: 3, t: 1, a: 1, q: 1}?\n' | b'1/70\n' | deepmind/math_dataset |
b'What is prob of picking 2 w when two letters picked without replacement from owodttwowo?\n' | b'1/15\n' | b'What is prob of picking 2 w when two letters picked without replacement from owodttwowo?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let w(o) be the first derivative of -o**2/2 - 8*o + 58. Calculate w(-3).\n' | b'-5\n' | b'Let w(o) be the first derivative of -o**2/2 - 8*o + 58. Calculate w(-3).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (w**(1/3)*w**(2/53)/w)/(w/(w*w**(-3))*w**11*w) assuming w is positive.\n' | b'w**(-2485/159)\n' | b'Simplify (w**(1/3)*w**(2/53)/w)/(w/(w*w**(-3))*w**11*w) assuming w is positive.\n' | b'w**(-2485/159)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, u: 1, m: 4, r: 1, e: 6, y: 2}. What is prob of sequence mr?\n' | b'2/105\n' | b'Two letters picked without replacement from {v: 1, u: 1, m: 4, r: 1, e: 6, y: 2}. What is prob of sequence mr?\n' | b'2/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ovdadosszaavaoo. What is prob of sequence odd?\n' | b'4/1365\n' | b'Three letters picked without replacement from ovdadosszaavaoo. What is prob of sequence odd?\n' | b'4/1365\n' | deepmind/math_dataset |
b'Let v(h) be the first derivative of h**7/840 + h**6/72 + h**5/30 - h**4/24 - 2*h**3/3 + 3. Let c(a) be the third derivative of v(a). Give c(-4).\n' | b'-1\n' | b'Let v(h) be the first derivative of h**7/840 + h**6/72 + h**5/30 - h**4/24 - 2*h**3/3 + 3. Let c(a) be the third derivative of v(a). Give c(-4).\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(h) = -1392*h**4 + 16*h**2 - 16*h - 2304. Let x(m) = 279*m**4 - 3*m**2 + 3*m + 461. Let z(v) = -3*l(v) - 16*x(v). Differentiate z(b) wrt b.\n' | b'-1152*b**3\n' | b'Let l(h) = -1392*h**4 + 16*h**2 - 16*h - 2304. Let x(m) = 279*m**4 - 3*m**2 + 3*m + 461. Let z(v) = -3*l(v) - 16*x(v). Differentiate z(b) wrt b.\n' | b'-1152*b**3\n' | deepmind/math_dataset |
b'Let o be (-5 + 3 + 0)*-9. Find the first derivative of -2*l**3 + 18*l - o*l - 3 wrt l.\n' | b'-6*l**2\n' | b'Let o be (-5 + 3 + 0)*-9. Find the first derivative of -2*l**3 + 18*l - o*l - 3 wrt l.\n' | b'-6*l**2\n' | deepmind/math_dataset |
b'Let i = 5 - 8. Let x(l) be the first derivative of -4*l + 31 + 1/2*l**2. What is x(i)?\n' | b'-7\n' | b'Let i = 5 - 8. Let x(l) be the first derivative of -4*l + 31 + 1/2*l**2. What is x(i)?\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (o**(-33)/(o/(o*o**34/o)))/((o/(o*o**(4/5)))/o**(-10/9)) assuming o is positive.\n' | b'o**(-14/45)\n' | b'Simplify (o**(-33)/(o/(o*o**34/o)))/((o/(o*o**(4/5)))/o**(-10/9)) assuming o is positive.\n' | b'o**(-14/45)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ffpp when four letters picked without replacement from {q: 8, l: 3, s: 1, f: 3, p: 5}.\n' | b'1/969\n' | b'Calculate prob of sequence ffpp when four letters picked without replacement from {q: 8, l: 3, s: 1, f: 3, p: 5}.\n' | b'1/969\n' | deepmind/math_dataset |
b'Let i(p) = -p**3 + 6*p**2 - 3*p - 6. Let w be i(5). Solve 3*b = -0*l + w*l + 1, 0 = 5*l + 5*b + 10 for l.\n' | b'-1\n' | b'Let i(p) = -p**3 + 6*p**2 - 3*p - 6. Let w be i(5). Solve 3*b = -0*l + w*l + 1, 0 = 5*l + 5*b + 10 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (s/((s**(2/3)/s)/s*s*s))/s**(2/67)*(((s/s**(-3))/s)/s)/(s**(2/81)/s*s) assuming s is positive.\n' | b's**(12367/5427)\n' | b'Simplify (s/((s**(2/3)/s)/s*s*s))/s**(2/67)*(((s/s**(-3))/s)/s)/(s**(2/81)/s*s) assuming s is positive.\n' | b's**(12367/5427)\n' | deepmind/math_dataset |
b'Let r(w) be the first derivative of 0*w + 0*w**4 - 2/5*w**5 - 4/3*w**3 - 4 + 0*w**2. What is the third derivative of r(a) wrt a?\n' | b'-48*a\n' | b'Let r(w) be the first derivative of 0*w + 0*w**4 - 2/5*w**5 - 4/3*w**3 - 4 + 0*w**2. What is the third derivative of r(a) wrt a?\n' | b'-48*a\n' | deepmind/math_dataset |
b'Let w(x) be the third derivative of 0*x - 1/60*x**5 - 1/24*x**4 - 10*x**2 + 3*x**3 + 0. Let h be 1/(-4) - 2/(-8). Determine w(h).\n' | b'18\n' | b'Let w(x) be the third derivative of 0*x - 1/60*x**5 - 1/24*x**4 - 10*x**2 + 3*x**3 + 0. Let h be 1/(-4) - 2/(-8). Determine w(h).\n' | b'18\n' | deepmind/math_dataset |
b'Differentiate 11*x**3 - 1871*x - 1682 + 5380 - 6*x**3 + 2*x**3 - 9*x**3 wrt x.\n' | b'-6*x**2 - 1871\n' | b'Differentiate 11*x**3 - 1871*x - 1682 + 5380 - 6*x**3 + 2*x**3 - 9*x**3 wrt x.\n' | b'-6*x**2 - 1871\n' | deepmind/math_dataset |
b'Find the third derivative of 19*x**2 - 7*x**6 + 2*x**3 + 6*x**6 + 1 - 2 wrt x.\n' | b'-120*x**3 + 12\n' | b'Find the third derivative of 19*x**2 - 7*x**6 + 2*x**3 + 6*x**6 + 1 - 2 wrt x.\n' | b'-120*x**3 + 12\n' | deepmind/math_dataset |
b'Calculate prob of sequence okk when three letters picked without replacement from koklcoockocococ.\n' | b'6/455\n' | b'Calculate prob of sequence okk when three letters picked without replacement from koklcoockocococ.\n' | b'6/455\n' | deepmind/math_dataset |
b'Simplify i*i/((i*i/((i/i**(-1/9))/i)*i)/i)*i**(-4/9)*(i**(-1)*i)**(-48) assuming i is positive.\n' | b'i**(-1/3)\n' | b'Simplify i*i/((i*i/((i/i**(-1/9))/i)*i)/i)*i**(-4/9)*(i**(-1)*i)**(-48) assuming i is positive.\n' | b'i**(-1/3)\n' | deepmind/math_dataset |
b'Simplify (p*p/(p/(p/(p/(p*(p*p**(2/23)/p*p)/p)))))**(2/153)/(p*p*p**(2/25))**(2/5) assuming p is positive.\n' | b'p**(-117992/146625)\n' | b'Simplify (p*p/(p/(p/(p/(p*(p*p**(2/23)/p*p)/p)))))**(2/153)/(p*p*p**(2/25))**(2/5) assuming p is positive.\n' | b'p**(-117992/146625)\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from {d: 2, u: 6, x: 5}?\n' | b'5/39\n' | b'What is prob of picking 2 x when two letters picked without replacement from {d: 2, u: 6, x: 5}?\n' | b'5/39\n' | deepmind/math_dataset |
b'Let k be 3/2*(-16)/(-6). Find the second derivative of n**5 - 4*n - k*n**5 - 2*n**5 + 5*n wrt n.\n' | b'-100*n**3\n' | b'Let k be 3/2*(-16)/(-6). Find the second derivative of n**5 - 4*n - k*n**5 - 2*n**5 + 5*n wrt n.\n' | b'-100*n**3\n' | deepmind/math_dataset |
b'Let u be ((-4)/(16/(-75)))/((-24)/(-256)). Let m be 20*96/u + (-4)/(-10). Let p(g) = -g - 2. Let y be p(-6). Solve -3*q = -q + m, -y*x + 18 = -2*q for x.\n' | b'2\n' | b'Let u be ((-4)/(16/(-75)))/((-24)/(-256)). Let m be 20*96/u + (-4)/(-10). Let p(g) = -g - 2. Let y be p(-6). Solve -3*q = -q + m, -y*x + 18 = -2*q for x.\n' | b'2\n' | deepmind/math_dataset |
b'Let q(l) = -2*l + 0*l + 14 + l + 2*l. Let u be q(-12). Find the third derivative of -4*d**2 + 4*d**5 - 11*d**5 + 9*d**u wrt d.\n' | b'-420*d**2\n' | b'Let q(l) = -2*l + 0*l + 14 + l + 2*l. Let u be q(-12). Find the third derivative of -4*d**2 + 4*d**5 - 11*d**5 + 9*d**u wrt d.\n' | b'-420*d**2\n' | deepmind/math_dataset |
b'Let x(p) = 2*p**2 - 28*p + 91. Let r be x(4). Let b(l) = -l - 1. Give b(r).\n' | b'-12\n' | b'Let x(p) = 2*p**2 - 28*p + 91. Let r be x(4). Let b(l) = -l - 1. Give b(r).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (((j**(-1)*j)/j)**(-2/9))**(-3) assuming j is positive.\n' | b'j**(-2/3)\n' | b'Simplify (((j**(-1)*j)/j)**(-2/9))**(-3) assuming j is positive.\n' | b'j**(-2/3)\n' | deepmind/math_dataset |
b'Let t(m) = -3*m + 0*m**3 + 33 - 23 - m**3 - 6*m**2 - m**2. Let c be t(-7). Let f = c + -17. Solve 3*g = p + f, 4*p - 24 = -0*p - 4*g for p.\n' | b'1\n' | b'Let t(m) = -3*m + 0*m**3 + 33 - 23 - m**3 - 6*m**2 - m**2. Let c be t(-7). Let f = c + -17. Solve 3*g = p + f, 4*p - 24 = -0*p - 4*g for p.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (y**(2/5))**13/(y**5/y**9) assuming y is positive.\n' | b'y**(46/5)\n' | b'Simplify (y**(2/5))**13/(y**5/y**9) assuming y is positive.\n' | b'y**(46/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vcvvvvvcvvvvvcv. What is prob of picking 4 v?\n' | b'33/91\n' | b'Four letters picked without replacement from vcvvvvvcvvvvvcv. What is prob of picking 4 v?\n' | b'33/91\n' | deepmind/math_dataset |
b'Let p(l) = 4*l**3 - l**2 + 1. Let a = 1 + 2. Let u be (-1 + a)/(2 + 0). Calculate p(u).\n' | b'4\n' | b'Let p(l) = 4*l**3 - l**2 + 1. Let a = 1 + 2. Let u be (-1 + a)/(2 + 0). Calculate p(u).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 13, d: 6}. Give prob of sequence bdb.\n' | b'52/323\n' | b'Three letters picked without replacement from {b: 13, d: 6}. Give prob of sequence bdb.\n' | b'52/323\n' | deepmind/math_dataset |
b'Simplify (y*y/(y**2*y))**(1/27)/((((y*y/y**(1/2))/y)/y)/y)**(-49) assuming y is positive.\n' | b'y**(-3971/54)\n' | b'Simplify (y*y/(y**2*y))**(1/27)/((((y*y/y**(1/2))/y)/y)/y)**(-49) assuming y is positive.\n' | b'y**(-3971/54)\n' | deepmind/math_dataset |
b'Let u(i) = i**2 + 3*i - 7. Let w be u(-5). What is the second derivative of 32*r**2 - 26*r**2 - w*r - r wrt r?\n' | b'12\n' | b'Let u(i) = i**2 + 3*i - 7. Let w be u(-5). What is the second derivative of 32*r**2 - 26*r**2 - w*r - r wrt r?\n' | b'12\n' | deepmind/math_dataset |
b'Let r(m) = 12*m + 1. Let q be r(2). Let z = q + 2. Suppose -2*h = -5*h + z. Solve c = -0*c + d - 5, -3*c - h = 3*d for c.\n' | b'-4\n' | b'Let r(m) = 12*m + 1. Let q be r(2). Let z = q + 2. Suppose -2*h = -5*h + z. Solve c = -0*c + d - 5, -3*c - h = 3*d for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (z**(-4/5))**(2/47) assuming z is positive.\n' | b'z**(-8/235)\n' | b'Simplify (z**(-4/5))**(2/47) assuming z is positive.\n' | b'z**(-8/235)\n' | deepmind/math_dataset |
b'What is prob of sequence tj when two letters picked without replacement from {j: 2, n: 6, t: 4}?\n' | b'2/33\n' | b'What is prob of sequence tj when two letters picked without replacement from {j: 2, n: 6, t: 4}?\n' | b'2/33\n' | deepmind/math_dataset |
b'Let r(j) be the first derivative of j**5/20 + j**3/3 - 63*j**2/2 - 28*j + 26. Let t(c) be the first derivative of r(c). What is the derivative of t(f) wrt f?\n' | b'3*f**2 + 2\n' | b'Let r(j) be the first derivative of j**5/20 + j**3/3 - 63*j**2/2 - 28*j + 26. Let t(c) be the first derivative of r(c). What is the derivative of t(f) wrt f?\n' | b'3*f**2 + 2\n' | deepmind/math_dataset |
b'Suppose 3*v = -5*m + 5, m - 1 = v + 3*v. Suppose 6 = -4*u + 26. Suppose -3*w + 4*s + m = 2, 0 = -3*w + u*s - 2. Solve 6*b = b - 4*p, b - w = -p for b.\n' | b'-4\n' | b'Suppose 3*v = -5*m + 5, m - 1 = v + 3*v. Suppose 6 = -4*u + 26. Suppose -3*w + 4*s + m = 2, 0 = -3*w + u*s - 2. Solve 6*b = b - 4*p, b - w = -p for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let j(h) = -h**3 - 16*h**2 + 18*h - 6. Let d be (60/180 + (0 - (-52)/(-3)))/1. What is j(d)?\n' | b'-23\n' | b'Let j(h) = -h**3 - 16*h**2 + 18*h - 6. Let d be (60/180 + (0 - (-52)/(-3)))/1. What is j(d)?\n' | b'-23\n' | deepmind/math_dataset |
b'Suppose -6*z + 486 - 918 = 0. Let p = z - -80. Solve -4*s = -0*s - 4*l + p, 0 = -4*l + 4 for s.\n' | b'-1\n' | b'Suppose -6*z + 486 - 918 = 0. Let p = z - -80. Solve -4*s = -0*s - 4*l + p, 0 = -4*l + 4 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 2*p = -2*p + 12. Find the second derivative of -4*j + j**5 + 4*j**5 + p*j wrt j.\n' | b'100*j**3\n' | b'Suppose 2*p = -2*p + 12. Find the second derivative of -4*j + j**5 + 4*j**5 + p*j wrt j.\n' | b'100*j**3\n' | deepmind/math_dataset |
b'Let q(g) = g**2 + 10*g - 15. Let n be q(-11). Let w(o) = o**2 - o + 1. What is w(n)?\n' | b'21\n' | b'Let q(g) = g**2 + 10*g - 15. Let n be q(-11). Let w(o) = o**2 - o + 1. What is w(n)?\n' | b'21\n' | deepmind/math_dataset |
b'Simplify (r**10/(r/(r/r**14)*r))**(-3/23) assuming r is positive.\n' | b'r**(15/23)\n' | b'Simplify (r**10/(r/(r/r**14)*r))**(-3/23) assuming r is positive.\n' | b'r**(15/23)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 8, x: 3}. What is prob of sequence txtx?\n' | b'7/165\n' | b'Four letters picked without replacement from {t: 8, x: 3}. What is prob of sequence txtx?\n' | b'7/165\n' | deepmind/math_dataset |
b'Let m(k) = 2849*k - 3172. Let b(l) = -14246*l + 15777. Let w(i) = -2*b(i) - 11*m(i). What is the derivative of w(h) wrt h?\n' | b'-2847\n' | b'Let m(k) = 2849*k - 3172. Let b(l) = -14246*l + 15777. Let w(i) = -2*b(i) - 11*m(i). What is the derivative of w(h) wrt h?\n' | b'-2847\n' | deepmind/math_dataset |
b'Let z(t) be the first derivative of 1709*t**4/4 + 2*t**3/3 - 1486*t**2 + 9298. What is the second derivative of z(r) wrt r?\n' | b'10254*r + 4\n' | b'Let z(t) be the first derivative of 1709*t**4/4 + 2*t**3/3 - 1486*t**2 + 9298. What is the second derivative of z(r) wrt r?\n' | b'10254*r + 4\n' | deepmind/math_dataset |
b'Simplify ((c**(-1/2))**24*c*c**(-8)/c*c**(-1)*c*c*c)**(-37) assuming c is positive.\n' | b'c**666\n' | b'Simplify ((c**(-1/2))**24*c*c**(-8)/c*c**(-1)*c*c*c)**(-37) assuming c is positive.\n' | b'c**666\n' | deepmind/math_dataset |
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