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 k be (9/2)/3*-2. Let o = 11 - k. Suppose y = g - 0*y + 1, 0 = y - 3. Solve -q = -4*n - 1, -g*q + o = q - n for q.\n' | b'5\n' | b'Let k be (9/2)/3*-2. Let o = 11 - k. Suppose y = g - 0*y + 1, 0 = y - 3. Solve -q = -4*n - 1, -g*q + o = q - n for q.\n' | b'5\n' | deepmind/math_dataset |
b'Let u(o) = -o. Let f be u(3). Let k(m) = -4*m - 7. Let l be k(f). Let s(d) = 3*d - 2. Let r be s(2). Solve -l*v - 4*b = -2, -b + 11 = 2*v + r*b for v.\n' | b'-2\n' | b'Let u(o) = -o. Let f be u(3). Let k(m) = -4*m - 7. Let l be k(f). Let s(d) = 3*d - 2. Let r be s(2). Solve -l*v - 4*b = -2, -b + 11 = 2*v + r*b for v.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence ik when two letters picked without replacement from ikrrkkki?\n' | b'1/7\n' | b'What is prob of sequence ik when two letters picked without replacement from ikrrkkki?\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose -18 = 3*d + 3*c, -8 = -2*d + 6*c - 3*c. Let m(q) = -2*q. What is m(d)?\n' | b'4\n' | b'Suppose -18 = 3*d + 3*c, -8 = -2*d + 6*c - 3*c. Let m(q) = -2*q. What is m(d)?\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, u: 4, x: 2, h: 1, f: 8}. Give prob of sequence ufx.\n' | b'2/105\n' | b'Three letters picked without replacement from {b: 1, u: 4, x: 2, h: 1, f: 8}. Give prob of sequence ufx.\n' | b'2/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccdc when four letters picked without replacement from cxcdcucducumuucxcccc.\n' | b'4/323\n' | b'Calculate prob of sequence ccdc when four letters picked without replacement from cxcdcucducumuucxcccc.\n' | b'4/323\n' | deepmind/math_dataset |
b'Let o(q) = -3. Let n = -6 - -2. Let v(k) = -2*k. Let a(y) = -3*y - 1. Let h(f) = 3*a(f) - 5*v(f). Let p(i) = n*o(i) + 3*h(i). Differentiate p(c) wrt c.\n' | b'3\n' | b'Let o(q) = -3. Let n = -6 - -2. Let v(k) = -2*k. Let a(y) = -3*y - 1. Let h(f) = 3*a(f) - 5*v(f). Let p(i) = n*o(i) + 3*h(i). Differentiate p(c) wrt c.\n' | b'3\n' | deepmind/math_dataset |
b'Let n(c) = -2*c + 2. Let u be 1 + 4 + 0/(-8). Suppose -6 + 21 = u*m. Give n(m).\n' | b'-4\n' | b'Let n(c) = -2*c + 2. Let u be 1 + 4 + 0/(-8). Suppose -6 + 21 = u*m. Give n(m).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -20*d - 22*d = -56*d + 70. Let o(x) = -x**3 + 16*x + 2*x**2 - 4 + 2*x**2 - 11*x. Calculate o(d).\n' | b'-4\n' | b'Suppose -20*d - 22*d = -56*d + 70. Let o(x) = -x**3 + 16*x + 2*x**2 - 4 + 2*x**2 - 11*x. Calculate o(d).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (h**(1/27)*h)/(h**5/h)*(h**(-4/7)/h)**(4/21) assuming h is positive.\n' | b'h**(-4316/1323)\n' | b'Simplify (h**(1/27)*h)/(h**5/h)*(h**(-4/7)/h)**(4/21) assuming h is positive.\n' | b'h**(-4316/1323)\n' | deepmind/math_dataset |
b'Let q(s) = s + 12. Let d be q(-6). Let p be (-8)/5*(-8 + -2). Solve -7 = 5*i + 4*x + d, 2*i - 2*x = -p for i.\n' | b'-5\n' | b'Let q(s) = s + 12. Let d be q(-6). Let p be (-8)/5*(-8 + -2). Solve -7 = 5*i + 4*x + d, 2*i - 2*x = -p for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (y**(-2)*y/(y/y**9))**(2/17) assuming y is positive.\n' | b'y**(14/17)\n' | b'Simplify (y**(-2)*y/(y/y**9))**(2/17) assuming y is positive.\n' | b'y**(14/17)\n' | deepmind/math_dataset |
b'Suppose 0 = -11*i + 352 + 143. Let c = -41 + i. Solve -2*t - 4 = -c*a, 5*t - 21 = -1 for a.\n' | b'3\n' | b'Suppose 0 = -11*i + 352 + 143. Let c = -41 + i. Solve -2*t - 4 = -c*a, 5*t - 21 = -1 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Let b(m) be the first derivative of -7*m**6/6 - 3*m**2 + 6. What is the second derivative of b(f) wrt f?\n' | b'-140*f**3\n' | b'Let b(m) be the first derivative of -7*m**6/6 - 3*m**2 + 6. What is the second derivative of b(f) wrt f?\n' | b'-140*f**3\n' | deepmind/math_dataset |
b'Simplify (((i/((i**25/i)/i))/i)**14*i**(-3)*i**(-9))**(-29/4) assuming i is positive.\n' | b'i**(4843/2)\n' | b'Simplify (((i/((i**25/i)/i))/i)**14*i**(-3)*i**(-9))**(-29/4) assuming i is positive.\n' | b'i**(4843/2)\n' | deepmind/math_dataset |
b'Let m(l) = -l**3 + 16*l**2 - 44*l + 68. Let t be m(13). Let o(n) be the first derivative of -7/4*n**4 + t*n + 14 + 0*n**2 + 0*n**3. Differentiate o(u) wrt u.\n' | b'-21*u**2\n' | b'Let m(l) = -l**3 + 16*l**2 - 44*l + 68. Let t be m(13). Let o(n) be the first derivative of -7/4*n**4 + t*n + 14 + 0*n**2 + 0*n**3. Differentiate o(u) wrt u.\n' | b'-21*u**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 3, b: 4, y: 5, s: 1}. Give prob of picking 1 b, 1 y, and 2 t.\n' | b'12/143\n' | b'Four letters picked without replacement from {t: 3, b: 4, y: 5, s: 1}. Give prob of picking 1 b, 1 y, and 2 t.\n' | b'12/143\n' | deepmind/math_dataset |
b'Let l(n) = -4*n + 1. Let d be l(-1). Suppose -2 = -d*u + 18. Let p(b) = 4*b**2 - 3 + 0*b**3 + 0*b**2 + 0*b**3 - b**3. Calculate p(u).\n' | b'-3\n' | b'Let l(n) = -4*n + 1. Let d be l(-1). Suppose -2 = -d*u + 18. Let p(b) = 4*b**2 - 3 + 0*b**3 + 0*b**2 + 0*b**3 - b**3. Calculate p(u).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (u**(-2/5))**(-8/7)*(u*u**2)/(u/(u/u**10)) assuming u is positive.\n' | b'u**(-229/35)\n' | b'Simplify (u**(-2/5))**(-8/7)*(u*u**2)/(u/(u/u**10)) assuming u is positive.\n' | b'u**(-229/35)\n' | deepmind/math_dataset |
b'Simplify (n*n**(-2/29)*n**16)/(n*n**(-12))**30 assuming n is positive.\n' | b'n**(10061/29)\n' | b'Simplify (n*n**(-2/29)*n**16)/(n*n**(-12))**30 assuming n is positive.\n' | b'n**(10061/29)\n' | deepmind/math_dataset |
b'Suppose 6 = 3*k - 6. Let c(t) = 124*t**2 - 2*t + 6. Let r(x) = 331*x**2 - 5*x + 17. Let f(j) = 8*c(j) - 3*r(j). Determine f(k).\n' | b'-23\n' | b'Suppose 6 = 3*k - 6. Let c(t) = 124*t**2 - 2*t + 6. Let r(x) = 331*x**2 - 5*x + 17. Let f(j) = 8*c(j) - 3*r(j). Determine f(k).\n' | b'-23\n' | deepmind/math_dataset |
b'Suppose -5*y = 2*i + 7, -4*y + 0 - 3 = -i. Let n = i - -12. Find the second derivative of 5*g + 10*g + n*g**2 + 3*g**2 - 24*g wrt g.\n' | b'28\n' | b'Suppose -5*y = 2*i + 7, -4*y + 0 - 3 = -i. Let n = i - -12. Find the second derivative of 5*g + 10*g + n*g**2 + 3*g**2 - 24*g wrt g.\n' | b'28\n' | deepmind/math_dataset |
b'Let x(y) be the third derivative of -7/60*y**5 - 5/3*y**3 + 0*y - 1/8*y**4 + 5 + 6*y**2 + 1/120*y**6. What is x(7)?\n' | b'-31\n' | b'Let x(y) be the third derivative of -7/60*y**5 - 5/3*y**3 + 0*y - 1/8*y**4 + 5 + 6*y**2 + 1/120*y**6. What is x(7)?\n' | b'-31\n' | deepmind/math_dataset |
b'Simplify p**1/p*p*p*p/(p**1/p)*(p**(-4/3)*p)/p**(-1/9) assuming p is positive.\n' | b'p**(25/9)\n' | b'Simplify p**1/p*p*p*p/(p**1/p)*(p**(-4/3)*p)/p**(-1/9) assuming p is positive.\n' | b'p**(25/9)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, k: 1, h: 2}. Give prob of picking 1 k, 1 o, and 1 h.\n' | b'1/2\n' | b'Three letters picked without replacement from {o: 1, k: 1, h: 2}. Give prob of picking 1 k, 1 o, and 1 h.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let h(r) be the second derivative of r**9/1260 - r**7/504 - 4*r**4/3 - 5*r. Let g(y) be the third derivative of h(y). Find the third derivative of g(i) wrt i.\n' | b'288*i\n' | b'Let h(r) be the second derivative of r**9/1260 - r**7/504 - 4*r**4/3 - 5*r. Let g(y) be the third derivative of h(y). Find the third derivative of g(i) wrt i.\n' | b'288*i\n' | deepmind/math_dataset |
b'Let v(i) = i**3 + 2*i**2 + 4*i - 8. Let h(o) = o**3 + 3*o**2 + 4*o - 7. Let j(q) = -4*h(q) + 3*v(q). Let l = -18 + 9. Let y be 3/9 - (-48)/l. Calculate j(y).\n' | b'-1\n' | b'Let v(i) = i**3 + 2*i**2 + 4*i - 8. Let h(o) = o**3 + 3*o**2 + 4*o - 7. Let j(q) = -4*h(q) + 3*v(q). Let l = -18 + 9. Let y be 3/9 - (-48)/l. Calculate j(y).\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppppdpppdddddddpdp. Give prob of picking 2 d.\n' | b'4/17\n' | b'Two letters picked without replacement from ppppdpppdddddddpdp. Give prob of picking 2 d.\n' | b'4/17\n' | deepmind/math_dataset |
b'Calculate prob of sequence cc when two letters picked without replacement from {q: 1, y: 2, s: 1, z: 1, c: 2}.\n' | b'1/21\n' | b'Calculate prob of sequence cc when two letters picked without replacement from {q: 1, y: 2, s: 1, z: 1, c: 2}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let l(v) = -8*v + 12*v - 4 + 1. Let f(u) = u**2 + 5*u - 4. Let z be f(-6). Determine l(z).\n' | b'5\n' | b'Let l(v) = -8*v + 12*v - 4 + 1. Let f(u) = u**2 + 5*u - 4. Let z be f(-6). Determine l(z).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (((k**3)**(-4/13)*(k/(k**(5/2)*k))/(k*k/k**(2/9)))**29)**(-2/19) assuming k is positive.\n' | b'k**(35293/2223)\n' | b'Simplify (((k**3)**(-4/13)*(k/(k**(5/2)*k))/(k*k/k**(2/9)))**29)**(-2/19) assuming k is positive.\n' | b'k**(35293/2223)\n' | deepmind/math_dataset |
b'Let b(y) be the first derivative of 3*y**5/20 + 28*y**2 + 62*y + 54. Let z(p) be the first derivative of b(p). Differentiate z(m) with respect to m.\n' | b'9*m**2\n' | b'Let b(y) be the first derivative of 3*y**5/20 + 28*y**2 + 62*y + 54. Let z(p) be the first derivative of b(p). Differentiate z(m) with respect to m.\n' | b'9*m**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence zz when two letters picked without replacement from {s: 3, z: 5}.\n' | b'5/14\n' | b'Calculate prob of sequence zz when two letters picked without replacement from {s: 3, z: 5}.\n' | b'5/14\n' | deepmind/math_dataset |
b'Simplify ((n**2)**(5/2))**(2/43) assuming n is positive.\n' | b'n**(10/43)\n' | b'Simplify ((n**2)**(5/2))**(2/43) assuming n is positive.\n' | b'n**(10/43)\n' | deepmind/math_dataset |
b'Simplify h*(h**(-6)*h)/h*h**(-18) assuming h is positive.\n' | b'h**(-23)\n' | b'Simplify h*(h**(-6)*h)/h*h**(-18) assuming h is positive.\n' | b'h**(-23)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 7, k: 4, u: 3, y: 4, n: 1}. Give prob of picking 2 d.\n' | b'7/57\n' | b'Two letters picked without replacement from {d: 7, k: 4, u: 3, y: 4, n: 1}. Give prob of picking 2 d.\n' | b'7/57\n' | deepmind/math_dataset |
b'Let t be 1*(8/(-20))/((-3)/2265). Let q(f) = 143*f + 139*f + 1 - t*f. Give q(1).\n' | b'-19\n' | b'Let t be 1*(8/(-20))/((-3)/2265). Let q(f) = 143*f + 139*f + 1 - t*f. Give q(1).\n' | b'-19\n' | deepmind/math_dataset |
b'Simplify t**40*t/(t/t**(-40))*t assuming t is positive.\n' | b't\n' | b'Simplify t**40*t/(t/t**(-40))*t assuming t is positive.\n' | b't\n' | deepmind/math_dataset |
b'Let f be 4 + 0 - (-13 + 13). Suppose 0 = -w, f*a - a = 3*w + 6. Suppose 2*m - b = 2, m = a*m + b - 7. Solve -2*k - 1 = 3*c, -2*c + 21 = -0*k - m*k for k.\n' | b'-5\n' | b'Let f be 4 + 0 - (-13 + 13). Suppose 0 = -w, f*a - a = 3*w + 6. Suppose 2*m - b = 2, m = a*m + b - 7. Solve -2*k - 1 = 3*c, -2*c + 21 = -0*k - m*k for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Let y(b) = 7*b**3 - b**2 + b + 1. Let i(t) = 24*t + 169. Let z be i(-7). Give y(z).\n' | b'8\n' | b'Let y(b) = 7*b**3 - b**2 + b + 1. Let i(t) = 24*t + 169. Let z be i(-7). Give y(z).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 64*j = 69*j - 275. Differentiate 70*w - 6 - j + 23 - 2*w**2 with respect to w.\n' | b'-4*w + 70\n' | b'Suppose 64*j = 69*j - 275. Differentiate 70*w - 6 - j + 23 - 2*w**2 with respect to w.\n' | b'-4*w + 70\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 9}. Give prob of sequence tt.\n' | b'1\n' | b'Two letters picked without replacement from {t: 9}. Give prob of sequence tt.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (f**(2/5)*f)**(25/2)*f/(f**(9/4)/f)*f**(-9) assuming f is positive.\n' | b'f**(33/4)\n' | b'Simplify (f**(2/5)*f)**(25/2)*f/(f**(9/4)/f)*f**(-9) assuming f is positive.\n' | b'f**(33/4)\n' | deepmind/math_dataset |
b'What is the derivative of 761 + 885 - 1129 + 355*x wrt x?\n' | b'355\n' | b'What is the derivative of 761 + 885 - 1129 + 355*x wrt x?\n' | b'355\n' | deepmind/math_dataset |
b'Simplify ((c**(-16))**(-2/23)*(c*c/(c**(-14)/c*c)*c)**31)**(-16) assuming c is positive.\n' | b'c**(-194448/23)\n' | b'Simplify ((c**(-16))**(-2/23)*(c*c/(c**(-14)/c*c)*c)**31)**(-16) assuming c is positive.\n' | b'c**(-194448/23)\n' | deepmind/math_dataset |
b'Let s be ((-5)/4)/(2/(-32)). Solve 4*t - s = 0, 8 = 4*f - t + 29 for f.\n' | b'-4\n' | b'Let s be ((-5)/4)/(2/(-32)). Solve 4*t - s = 0, 8 = 4*f - t + 29 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence vvcn when four letters picked without replacement from ninvckfvivfkivkn?\n' | b'3/3640\n' | b'What is prob of sequence vvcn when four letters picked without replacement from ninvckfvivfkivkn?\n' | b'3/3640\n' | deepmind/math_dataset |
b'Simplify u*u/(u/(u/(u/(u**3/u))))*u/(u/(u**2*u))*(u*u*u/(u/(u*u*u/(u**(-2/13)*u)))*u)**(2/39) assuming u is positive.\n' | b'u**(3176/507)\n' | b'Simplify u*u/(u/(u/(u/(u**3/u))))*u/(u/(u**2*u))*(u*u*u/(u/(u*u*u/(u**(-2/13)*u)))*u)**(2/39) assuming u is positive.\n' | b'u**(3176/507)\n' | deepmind/math_dataset |
b'What is prob of sequence div when three letters picked without replacement from {i: 1, d: 1, o: 1, w: 1, u: 2, v: 1}?\n' | b'1/210\n' | b'What is prob of sequence div when three letters picked without replacement from {i: 1, d: 1, o: 1, w: 1, u: 2, v: 1}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjkk when four letters picked without replacement from gjgkkjjjkj.\n' | b'1/42\n' | b'Calculate prob of sequence jjkk when four letters picked without replacement from gjgkkjjjkj.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let r be (-81)/63 - 10/(-35). Suppose -s - 4*s + 15 = 0. Let j(a) = 2*a**s - 4*a**3 - 1 - a**2 + 3*a**2. Give j(r).\n' | b'3\n' | b'Let r be (-81)/63 - 10/(-35). Suppose -s - 4*s + 15 = 0. Let j(a) = 2*a**s - 4*a**3 - 1 - a**2 + 3*a**2. Give j(r).\n' | b'3\n' | deepmind/math_dataset |
b'Let j(z) be the second derivative of -534*z**5/5 + 4567*z**2/2 + 2*z + 3143. Differentiate j(m) wrt m.\n' | b'-6408*m**2\n' | b'Let j(z) be the second derivative of -534*z**5/5 + 4567*z**2/2 + 2*z + 3143. Differentiate j(m) wrt m.\n' | b'-6408*m**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence qjsc when four letters picked without replacement from jsqsqslszscsllsll.\n' | b'1/4080\n' | b'Calculate prob of sequence qjsc when four letters picked without replacement from jsqsqslszscsllsll.\n' | b'1/4080\n' | deepmind/math_dataset |
b'Let u be 49 + 18/(1 - -5). What is the derivative of 73*k**2 + 228*k + 95 - 228*k + u*k**2 wrt k?\n' | b'250*k\n' | b'Let u be 49 + 18/(1 - -5). What is the derivative of 73*k**2 + 228*k + 95 - 228*k + u*k**2 wrt k?\n' | b'250*k\n' | deepmind/math_dataset |
b'Let s(l) = 15*l**3 + 14*l**2 + 16*l + 8. Let j(v) = 2*v**3 + v**2 + 2*v. Let h(m) = -8*j(m) + s(m). Calculate h(6).\n' | b'8\n' | b'Let s(l) = 15*l**3 + 14*l**2 + 16*l + 8. Let j(v) = 2*v**3 + v**2 + 2*v. Let h(m) = -8*j(m) + s(m). Calculate h(6).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (f/f**(-1/2)*f**1)**(-18)/((f/(f**(-2/5)/f)*f)**(-41)*(f**0/f)**(-4)) assuming f is positive.\n' | b'f**(452/5)\n' | b'Simplify (f/f**(-1/2)*f**1)**(-18)/((f/(f**(-2/5)/f)*f)**(-41)*(f**0/f)**(-4)) assuming f is positive.\n' | b'f**(452/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eadeeedd. Give prob of picking 1 e and 2 d.\n' | b'3/14\n' | b'Three letters picked without replacement from eadeeedd. Give prob of picking 1 e and 2 d.\n' | b'3/14\n' | deepmind/math_dataset |
b'What is the third derivative of -9*s**2 + 7*s**2 + 12*s**5 - 4*s**2 - 4*s**5 wrt s?\n' | b'480*s**2\n' | b'What is the third derivative of -9*s**2 + 7*s**2 + 12*s**5 - 4*s**2 - 4*s**5 wrt s?\n' | b'480*s**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, w: 1}. Give prob of sequence ww.\n' | b'0\n' | b'Two letters picked without replacement from {j: 2, w: 1}. Give prob of sequence ww.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(c) = -4*c**2 + 2*c - 13. Let a(q) = 5*q**2 - 2*q + 10. Let m(w) = 4*a(w) + 3*i(w). Determine m(1).\n' | b'7\n' | b'Let i(c) = -4*c**2 + 2*c - 13. Let a(q) = 5*q**2 - 2*q + 10. Let m(w) = 4*a(w) + 3*i(w). Determine m(1).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose -26*p - 198 = 40*p. Let a(n) = -2*n. Let x(m) = -m. Let h(u) = -a(u) + x(u). Give h(p).\n' | b'-3\n' | b'Suppose -26*p - 198 = 40*p. Let a(n) = -2*n. Let x(m) = -m. Let h(u) = -a(u) + x(u). Give h(p).\n' | b'-3\n' | deepmind/math_dataset |
b'Let a be (-8)/12 + (-26)/(-3). Let h(d) = 13*d + 5*d + 12 - 7*d**2 - a*d - 2*d**3 + d**3. Suppose -2*z = -4*l + 16, 0 + 16 = -2*z + 5*l. What is h(z)?\n' | b'-4\n' | b'Let a be (-8)/12 + (-26)/(-3). Let h(d) = 13*d + 5*d + 12 - 7*d**2 - a*d - 2*d**3 + d**3. Suppose -2*z = -4*l + 16, 0 + 16 = -2*z + 5*l. What is h(z)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let t(n) be the second derivative of n**7/42 + 9*n**6/5 + 7*n**4/4 + 5*n - 11. Find the third derivative of t(b) wrt b.\n' | b'60*b**2 + 1296*b\n' | b'Let t(n) be the second derivative of n**7/42 + 9*n**6/5 + 7*n**4/4 + 5*n - 11. Find the third derivative of t(b) wrt b.\n' | b'60*b**2 + 1296*b\n' | deepmind/math_dataset |
b'Simplify ((l/((l/(l**(-1/40)*l)*l)/l))**(5/13))**(1/2) assuming l is positive.\n' | b'l**(3/16)\n' | b'Simplify ((l/((l/(l**(-1/40)*l)*l)/l))**(5/13))**(1/2) assuming l is positive.\n' | b'l**(3/16)\n' | deepmind/math_dataset |
b'Let t(j) = 2*j + 9. Let o = 62 + -59. Suppose 55*p = 54*p - o. Determine t(p).\n' | b'3\n' | b'Let t(j) = 2*j + 9. Let o = 62 + -59. Suppose 55*p = 54*p - o. Determine t(p).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -3*q + 3 - 15 = 0. Let y(r) = -r**2 - 5*r - 2. Calculate y(q).\n' | b'2\n' | b'Suppose -3*q + 3 - 15 = 0. Let y(r) = -r**2 - 5*r - 2. Calculate y(q).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, j: 8, g: 4, m: 2}. Give prob of sequence ghjm.\n' | b'4/1365\n' | b'Four letters picked without replacement from {h: 2, j: 8, g: 4, m: 2}. Give prob of sequence ghjm.\n' | b'4/1365\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 g, and 1 f when three letters picked without replacement from {f: 1, m: 1, u: 1, j: 1, g: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 j, 1 g, and 1 f when three letters picked without replacement from {f: 1, m: 1, u: 1, j: 1, g: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let s(b) be the first derivative of 0*b**2 + 10/3*b**3 - 10 + 13*b. What is the derivative of s(z) wrt z?\n' | b'20*z\n' | b'Let s(b) be the first derivative of 0*b**2 + 10/3*b**3 - 10 + 13*b. What is the derivative of s(z) wrt z?\n' | b'20*z\n' | deepmind/math_dataset |
b'Let g(m) = -m**2 - 29*m - 23. Let b be g(-28). What is the second derivative of 57*d**b + 61*d + 4*d + 36*d wrt d?\n' | b'1140*d**3\n' | b'Let g(m) = -m**2 - 29*m - 23. Let b be g(-28). What is the second derivative of 57*d**b + 61*d + 4*d + 36*d wrt d?\n' | b'1140*d**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbbbfbbbebbbbb. Give prob of picking 1 f and 3 b.\n' | b'20/91\n' | b'Four letters picked without replacement from bbbbfbbbebbbbb. Give prob of picking 1 f and 3 b.\n' | b'20/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 u and 1 y when four letters picked without replacement from {y: 6, u: 6}.\n' | b'8/33\n' | b'Calculate prob of picking 3 u and 1 y when four letters picked without replacement from {y: 6, u: 6}.\n' | b'8/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence sb when two letters picked without replacement from {s: 1, e: 1, b: 2, w: 2, i: 1}.\n' | b'1/21\n' | b'Calculate prob of sequence sb when two letters picked without replacement from {s: 1, e: 1, b: 2, w: 2, i: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose 110 = 3*o + 4*t, -4*o + 68 + 47 = -t. Let b = o + -26. What is the second derivative of -3*s**3 + 3*s**3 + 182*s - 176*s + 14*s**b wrt s?\n' | b'168*s**2\n' | b'Suppose 110 = 3*o + 4*t, -4*o + 68 + 47 = -t. Let b = o + -26. What is the second derivative of -3*s**3 + 3*s**3 + 182*s - 176*s + 14*s**b wrt s?\n' | b'168*s**2\n' | deepmind/math_dataset |
b'Simplify ((d**0)**(-1/54))**(2/61) assuming d is positive.\n' | b'1\n' | b'Simplify ((d**0)**(-1/54))**(2/61) assuming d is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(d) = -4 - 1 + 2*d**2 + 2*d + 0 + 2. Give s(-3).\n' | b'9\n' | b'Let s(d) = -4 - 1 + 2*d**2 + 2*d + 0 + 2. Give s(-3).\n' | b'9\n' | deepmind/math_dataset |
b'Let y(t) = -8*t**2 + 15*t**2 - 8*t**2 - 5 - 9*t. Let u be y(-8). Let r be u/(-12) + (-65)/(-20). Solve -r*g - 9 = -2*l - l, -2 = -2*g for l.\n' | b'4\n' | b'Let y(t) = -8*t**2 + 15*t**2 - 8*t**2 - 5 - 9*t. Let u be y(-8). Let r be u/(-12) + (-65)/(-20). Solve -r*g - 9 = -2*l - l, -2 = -2*g for l.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (n**21/n*n*n)/((n**(3/19)*n)/n) assuming n is positive.\n' | b'n**(415/19)\n' | b'Simplify (n**21/n*n*n)/((n**(3/19)*n)/n) assuming n is positive.\n' | b'n**(415/19)\n' | deepmind/math_dataset |
b'What is prob of picking 4 i when four letters picked without replacement from {n: 3, i: 4, q: 1, u: 6}?\n' | b'1/1001\n' | b'What is prob of picking 4 i when four letters picked without replacement from {n: 3, i: 4, q: 1, u: 6}?\n' | b'1/1001\n' | deepmind/math_dataset |
b'Simplify ((d**(-2/3))**(-21))**(2/5)*((d/(d**(-7/4)/d))/(d*d**(-1/6)*d))/(d**(1/3)/d**(-5)) assuming d is positive.\n' | b'd**(131/60)\n' | b'Simplify ((d**(-2/3))**(-21))**(2/5)*((d/(d**(-7/4)/d))/(d*d**(-1/6)*d))/(d**(1/3)/d**(-5)) assuming d is positive.\n' | b'd**(131/60)\n' | deepmind/math_dataset |
b'Let g(t) = 118*t**4 - 3*t**3 + 3*t**2 + 52. Let h(r) = -236*r**4 + 5*r**3 - 5*r**2 - 104. Let w(v) = 5*g(v) + 3*h(v). What is the derivative of w(b) wrt b?\n' | b'-472*b**3\n' | b'Let g(t) = 118*t**4 - 3*t**3 + 3*t**2 + 52. Let h(r) = -236*r**4 + 5*r**3 - 5*r**2 - 104. Let w(v) = 5*g(v) + 3*h(v). What is the derivative of w(b) wrt b?\n' | b'-472*b**3\n' | deepmind/math_dataset |
b'Simplify (k**(-2/9))**(3/8)*(k/(k*k**4/k))/(((k/(k*k/(k*k/k**(-2/13)*k)*k))/k)/k) assuming k is positive.\n' | b'k**(-349/156)\n' | b'Simplify (k**(-2/9))**(3/8)*(k/(k*k**4/k))/(((k/(k*k/(k*k/k**(-2/13)*k)*k))/k)/k) assuming k is positive.\n' | b'k**(-349/156)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxnmxnhix. What is prob of picking 3 x and 1 h?\n' | b'2/63\n' | b'Four letters picked without replacement from xxnmxnhix. What is prob of picking 3 x and 1 h?\n' | b'2/63\n' | deepmind/math_dataset |
b'Let x(y) be the first derivative of y**5/5 + 2*y - 3. What is the first derivative of x(f) wrt f?\n' | b'4*f**3\n' | b'Let x(y) be the first derivative of y**5/5 + 2*y - 3. What is the first derivative of x(f) wrt f?\n' | b'4*f**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence xn when two letters picked without replacement from njkxx.\n' | b'1/10\n' | b'Calculate prob of sequence xn when two letters picked without replacement from njkxx.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let x be (-5676)/(-572) - 10 - 27/(-13). Solve -d = l + x - 11, -5*d + 33 = 2*l for l.\n' | b'4\n' | b'Let x be (-5676)/(-572) - 10 - 27/(-13). Solve -d = l + x - 11, -5*d + 33 = 2*l for l.\n' | b'4\n' | deepmind/math_dataset |
b'Let n(o) be the first derivative of 0*o - 1/2*o**2 - 2 - 1/3*o**3. Find the second derivative of n(u) wrt u.\n' | b'-2\n' | b'Let n(o) be the first derivative of 0*o - 1/2*o**2 - 2 - 1/3*o**3. Find the second derivative of n(u) wrt u.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (s**(-1)*s**6)/(((s**(3/8)*s*s)/s)/(s*s/(s/s**(-3/13)))) assuming s is positive.\n' | b's**(457/104)\n' | b'Simplify (s**(-1)*s**6)/(((s**(3/8)*s*s)/s)/(s*s/(s/s**(-3/13)))) assuming s is positive.\n' | b's**(457/104)\n' | deepmind/math_dataset |
b'Let r = 15 - 10. Suppose 5*v - 5*t = 8 + 27, -v - 2*t - 8 = 0. Find the third derivative of 2*f**5 - f**r + 4*f**2 - f**v wrt f.\n' | b'60*f**2\n' | b'Let r = 15 - 10. Suppose 5*v - 5*t = 8 + 27, -v - 2*t - 8 = 0. Find the third derivative of 2*f**5 - f**r + 4*f**2 - f**v wrt f.\n' | b'60*f**2\n' | deepmind/math_dataset |
b'Simplify (o**(-2/103))**(1/16)*((o**11*o)/o)/o*o**(21/8) assuming o is positive.\n' | b'o**(5201/412)\n' | b'Simplify (o**(-2/103))**(1/16)*((o**11*o)/o)/o*o**(21/8) assuming o is positive.\n' | b'o**(5201/412)\n' | deepmind/math_dataset |
b'Let j(i) be the first derivative of 414*i**5/5 + 2*i**3/3 + 471*i**2 - 873. What is the second derivative of j(s) wrt s?\n' | b'4968*s**2 + 4\n' | b'Let j(i) be the first derivative of 414*i**5/5 + 2*i**3/3 + 471*i**2 - 873. What is the second derivative of j(s) wrt s?\n' | b'4968*s**2 + 4\n' | deepmind/math_dataset |
b'Suppose -3*y - 6 = -0*y. Let t(j) = -6*j - 2. Give t(y).\n' | b'10\n' | b'Suppose -3*y - 6 = -0*y. Let t(j) = -6*j - 2. Give t(y).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose -4*w = 4*o + 76, -215*w + 217*w + 51 = -3*o. Let h(b) = -b - 34. Determine h(o).\n' | b'-21\n' | b'Suppose -4*w = 4*o + 76, -215*w + 217*w + 51 = -3*o. Let h(b) = -b - 34. Determine h(o).\n' | b'-21\n' | deepmind/math_dataset |
b'Let f(s) = 3*s - 8. Let z(t) be the second derivative of -4*t**3/3 + 23*t**2/2 - 67*t. Let l(d) = -11*f(d) - 4*z(d). What is l(-5)?\n' | b'1\n' | b'Let f(s) = 3*s - 8. Let z(t) be the second derivative of -4*t**3/3 + 23*t**2/2 - 67*t. Let l(d) = -11*f(d) - 4*z(d). What is l(-5)?\n' | b'1\n' | deepmind/math_dataset |
b'Let a(f) = 4*f - 1. Let q(j) = -8*j + 3. Let o(h) = -7*a(h) - 4*q(h). Give o(4).\n' | b'11\n' | b'Let a(f) = 4*f - 1. Let q(j) = -8*j + 3. Let o(h) = -7*a(h) - 4*q(h). Give o(4).\n' | b'11\n' | deepmind/math_dataset |
b'Let m(p) = 150*p + 139*p + 7*p**2 - 290*p. Suppose 3 = 4*d - 1. Give m(d).\n' | b'6\n' | b'Let m(p) = 150*p + 139*p + 7*p**2 - 290*p. Suppose 3 = 4*d - 1. Give m(d).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 2 g when three letters picked without replacement from {g: 1, x: 1, a: 2, r: 1, z: 2, e: 1}?\n' | b'0\n' | b'What is prob of picking 1 x and 2 g when three letters picked without replacement from {g: 1, x: 1, a: 2, r: 1, z: 2, e: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Let w = 52 + -23. Let n be (-138)/(-92) + (-1)/4*-14. Solve 4*x - 19 = 3*b, -n*b = -2*x - 2*x + w for b.\n' | b'-5\n' | b'Let w = 52 + -23. Let n be (-138)/(-92) + (-1)/4*-14. Solve 4*x - 19 = 3*b, -n*b = -2*x - 2*x + w for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p = 176 - 160. Suppose -15 = -2*o - j, -3*o + 4*j = -5*o. Suppose 2*t + p = o*t. Solve -f - 13 = -t*n, 4*f + 0*f = -12 for n.\n' | b'5\n' | b'Let p = 176 - 160. Suppose -15 = -2*o - j, -3*o + 4*j = -5*o. Suppose 2*t + p = o*t. Solve -f - 13 = -t*n, 4*f + 0*f = -12 for n.\n' | b'5\n' | deepmind/math_dataset |
b'Let a(m) = -m**2 - 1585*m + 7947. Let o be a(5). Let u(q) = 3*q**2 + 1 - q - 5*q**2 - 3*q. Give u(o).\n' | b'-5\n' | b'Let a(m) = -m**2 - 1585*m + 7947. Let o be a(5). Let u(q) = 3*q**2 + 1 - q - 5*q**2 - 3*q. Give u(o).\n' | b'-5\n' | deepmind/math_dataset |
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