question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let f(z) be the third derivative of z**6/5 + 53*z**5/30 + 54*z**2. What is the third derivative of f(o) wrt o?\n' | b'144\n' | b'Let f(z) be the third derivative of z**6/5 + 53*z**5/30 + 54*z**2. What is the third derivative of f(o) wrt o?\n' | b'144\n' | deepmind/math_dataset |
b'Let k = -2 + 3. Let i = k - -2. Differentiate -f**3 + 0*f**3 - f**i - 1 wrt f.\n' | b'-6*f**2\n' | b'Let k = -2 + 3. Let i = k - -2. Differentiate -f**3 + 0*f**3 - f**i - 1 wrt f.\n' | b'-6*f**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzozzzbzzmxzzzbz. Give prob of sequence bz.\n' | b'11/120\n' | b'Two letters picked without replacement from zzozzzbzzmxzzzbz. Give prob of sequence bz.\n' | b'11/120\n' | deepmind/math_dataset |
b'Simplify ((m**(-2/23)/((m/((m/(m*m**(-16/9)))/m))/m*m))/(m**32/m)**(-2/27))**(7/3) assuming m is positive.\n' | b'm**(8638/1863)\n' | b'Simplify ((m**(-2/23)/((m/((m/(m*m**(-16/9)))/m))/m*m))/(m**32/m)**(-2/27))**(7/3) assuming m is positive.\n' | b'm**(8638/1863)\n' | deepmind/math_dataset |
b'Calculate prob of sequence gu when two letters picked without replacement from {u: 2, s: 2, g: 4}.\n' | b'1/7\n' | b'Calculate prob of sequence gu when two letters picked without replacement from {u: 2, s: 2, g: 4}.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let g(m) = 0*m - 6 - 6 - 2*m. Let f be g(-8). Let u = -1588 + 1594. Solve 2*w + 8 = v + 4*v, -f*v + 2*w = -u for v.\n' | b'2\n' | b'Let g(m) = 0*m - 6 - 6 - 2*m. Let f be g(-8). Let u = -1588 + 1594. Solve 2*w + 8 = v + 4*v, -f*v + 2*w = -u for v.\n' | b'2\n' | deepmind/math_dataset |
b'What is the second derivative of -107*i**2 + 92*i**2 - 28 + 28 + 254*i + 533*i wrt i?\n' | b'-30\n' | b'What is the second derivative of -107*i**2 + 92*i**2 - 28 + 28 + 254*i + 533*i wrt i?\n' | b'-30\n' | deepmind/math_dataset |
b'Let d(l) = -l - 1. Suppose -3*y = -5*y + 10. Let m = y - 8. Let g be d(m). Solve -4*u - 8 + 0 = -g*z, -2 = 2*z + u for z.\n' | b'0\n' | b'Let d(l) = -l - 1. Suppose -3*y = -5*y + 10. Let m = y - 8. Let g be d(m). Solve -4*u - 8 + 0 = -g*z, -2 = 2*z + u for z.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 13, s: 5}. Give prob of picking 2 s.\n' | b'10/153\n' | b'Two letters picked without replacement from {t: 13, s: 5}. Give prob of picking 2 s.\n' | b'10/153\n' | deepmind/math_dataset |
b'Simplify (n**(-26)/(n**(22/5)*n)*(n**(1/5)/n*n)**(44/5))**(6/5) assuming n is positive.\n' | b'n**(-4446/125)\n' | b'Simplify (n**(-26)/(n**(22/5)*n)*(n**(1/5)/n*n)**(44/5))**(6/5) assuming n is positive.\n' | b'n**(-4446/125)\n' | deepmind/math_dataset |
b'Let m(d) = d**3 + d**2 - 2*d + 2. Let o be (10/(-4))/(6/12). Let h be 2/(-5) - 12/o. Determine m(h).\n' | b'10\n' | b'Let m(d) = d**3 + d**2 - 2*d + 2. Let o be (10/(-4))/(6/12). Let h be 2/(-5) - 12/o. Determine m(h).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiii. Give prob of picking 2 i.\n' | b'1\n' | b'Two letters picked without replacement from iiii. Give prob of picking 2 i.\n' | b'1\n' | deepmind/math_dataset |
b'Let k(c) = c**2 - 2*c + 2. Let w be k(2). Let l be 4 + w + (-3 - 0). Let g(q) = -5*q**2 - 2*q**3 + 3*q**3 - 2*q**l + 0*q**3. What is g(-5)?\n' | b'0\n' | b'Let k(c) = c**2 - 2*c + 2. Let w be k(2). Let l be 4 + w + (-3 - 0). Let g(q) = -5*q**2 - 2*q**3 + 3*q**3 - 2*q**l + 0*q**3. What is g(-5)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = 3*m + 3*l - 3 - 9, 4*m + 3*l - 15 = 0. Suppose m*j - 1 = -7. Let p(f) be the third derivative of f**4/6 - f**3/6 + 2*f**2. Calculate p(j).\n' | b'-9\n' | b'Suppose 0 = 3*m + 3*l - 3 - 9, 4*m + 3*l - 15 = 0. Suppose m*j - 1 = -7. Let p(f) be the third derivative of f**4/6 - f**3/6 + 2*f**2. Calculate p(j).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q and 1 u when three letters picked without replacement from quqtutqt.\n' | b'3/28\n' | b'Calculate prob of picking 2 q and 1 u when three letters picked without replacement from quqtutqt.\n' | b'3/28\n' | deepmind/math_dataset |
b'Let m(u) be the third derivative of -13*u**9/252 + u**5/4 + 11*u**2 + 2*u. What is the third derivative of m(n) wrt n?\n' | b'-3120*n**3\n' | b'Let m(u) be the third derivative of -13*u**9/252 + u**5/4 + 11*u**2 + 2*u. What is the third derivative of m(n) wrt n?\n' | b'-3120*n**3\n' | deepmind/math_dataset |
b'Simplify ((v*v**(1/2))**(-5))**(-28) assuming v is positive.\n' | b'v**210\n' | b'Simplify ((v*v**(1/2))**(-5))**(-28) assuming v is positive.\n' | b'v**210\n' | deepmind/math_dataset |
b'What is prob of sequence cc when two letters picked without replacement from clcnf?\n' | b'1/10\n' | b'What is prob of sequence cc when two letters picked without replacement from clcnf?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (q*q/(q**(-1/11)*q))**42 assuming q is positive.\n' | b'q**(504/11)\n' | b'Simplify (q*q/(q**(-1/11)*q))**42 assuming q is positive.\n' | b'q**(504/11)\n' | deepmind/math_dataset |
b'Simplify (w*w*w**(-16)*w**(-17/5))/(((w/(w**(2/13)/w*w*w)*w)/w)/(w**12/w*w)) assuming w is positive.\n' | b'w**(-341/65)\n' | b'Simplify (w*w*w**(-16)*w**(-17/5))/(((w/(w**(2/13)/w*w*w)*w)/w)/(w**12/w*w)) assuming w is positive.\n' | b'w**(-341/65)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from pppspdddpdpdpddppddd. Give prob of picking 2 d, 1 p, and 1 s.\n' | b'27/323\n' | b'Four letters picked without replacement from pppspdddpdpdpddppddd. Give prob of picking 2 d, 1 p, and 1 s.\n' | b'27/323\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttcctc. What is prob of sequence cc?\n' | b'1/5\n' | b'Two letters picked without replacement from ttcctc. What is prob of sequence cc?\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (c*c*c**(-12/11)*c*c)**(48/7) assuming c is positive.\n' | b'c**(1536/77)\n' | b'Simplify (c*c*c**(-12/11)*c*c)**(48/7) assuming c is positive.\n' | b'c**(1536/77)\n' | deepmind/math_dataset |
b'Let q(o) = -13*o + 5*o - 4 + 8*o + o. What is q(5)?\n' | b'1\n' | b'Let q(o) = -13*o + 5*o - 4 + 8*o + o. What is q(5)?\n' | b'1\n' | deepmind/math_dataset |
b'Let c(z) = -z**3 - 2*z**2 - z. Let m(v) = -1144*v**3 - 16*v**2 - 6*v - 1460. Let h(t) = -8*c(t) + m(t). What is the second derivative of h(s) wrt s?\n' | b'-6816*s\n' | b'Let c(z) = -z**3 - 2*z**2 - z. Let m(v) = -1144*v**3 - 16*v**2 - 6*v - 1460. Let h(t) = -8*c(t) + m(t). What is the second derivative of h(s) wrt s?\n' | b'-6816*s\n' | deepmind/math_dataset |
b'Simplify (f**(-7/13)/f)/f*f**(-2/17) assuming f is positive.\n' | b'f**(-587/221)\n' | b'Simplify (f**(-7/13)/f)/f*f**(-2/17) assuming f is positive.\n' | b'f**(-587/221)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from cbxbxuxixbbbrrrb. What is prob of picking 1 u, 2 r, and 1 x?\n' | b'3/455\n' | b'Four letters picked without replacement from cbxbxuxixbbbrrrb. What is prob of picking 1 u, 2 r, and 1 x?\n' | b'3/455\n' | deepmind/math_dataset |
b'Calculate prob of sequence kf when two letters picked without replacement from fkkfkffkkkk.\n' | b'14/55\n' | b'Calculate prob of sequence kf when two letters picked without replacement from fkkfkffkkkk.\n' | b'14/55\n' | deepmind/math_dataset |
b'Let r(h) = -3*h + 5. Let i(a) = a + 1. Let z(m) = 2*i(m) + r(m). Let f be z(5). What is the second derivative of -u**2 + 4*u + u**2 - f*u**2 wrt u?\n' | b'-4\n' | b'Let r(h) = -3*h + 5. Let i(a) = a + 1. Let z(m) = 2*i(m) + r(m). Let f be z(5). What is the second derivative of -u**2 + 4*u + u**2 - f*u**2 wrt u?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence owwk when four letters picked without replacement from {k: 11, w: 2, o: 2}.\n' | b'11/8190\n' | b'Calculate prob of sequence owwk when four letters picked without replacement from {k: 11, w: 2, o: 2}.\n' | b'11/8190\n' | deepmind/math_dataset |
b'Simplify (q**(-2/7)*q*q**(-2/17)*q)**2 assuming q is positive.\n' | b'q**(380/119)\n' | b'Simplify (q**(-2/7)*q*q**(-2/17)*q)**2 assuming q is positive.\n' | b'q**(380/119)\n' | deepmind/math_dataset |
b'Let v(i) = -i**2 + 9*i - 9. Let n be (-24)/2*(1/(-3))/1. Suppose 3*y - n + 4 = 0. Suppose t - 38 + 30 = y. Give v(t).\n' | b'-1\n' | b'Let v(i) = -i**2 + 9*i - 9. Let n be (-24)/2*(1/(-3))/1. Suppose 3*y - n + 4 = 0. Suppose t - 38 + 30 = y. Give v(t).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {c: 3, x: 1, e: 2, h: 1, p: 2, j: 3}.\n' | b'1/22\n' | b'Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {c: 3, x: 1, e: 2, h: 1, p: 2, j: 3}.\n' | b'1/22\n' | deepmind/math_dataset |
b'Find the second derivative of -36*u + u**3 + 0*u**3 + 75*u wrt u.\n' | b'6*u\n' | b'Find the second derivative of -36*u + u**3 + 0*u**3 + 75*u wrt u.\n' | b'6*u\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ovvevivw. Give prob of picking 1 w, 1 v, and 1 i.\n' | b'1/14\n' | b'Three letters picked without replacement from ovvevivw. Give prob of picking 1 w, 1 v, and 1 i.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let a(o) be the third derivative of -223/24*o**4 - 18*o**2 + 0 + 107/6*o**3 + 8*o. What is the first derivative of a(z) wrt z?\n' | b'-223\n' | b'Let a(o) be the third derivative of -223/24*o**4 - 18*o**2 + 0 + 107/6*o**3 + 8*o. What is the first derivative of a(z) wrt z?\n' | b'-223\n' | deepmind/math_dataset |
b'Simplify ((i**(3/5))**(-1/8))**(3/40) assuming i is positive.\n' | b'i**(-9/1600)\n' | b'Simplify ((i**(3/5))**(-1/8))**(3/40) assuming i is positive.\n' | b'i**(-9/1600)\n' | deepmind/math_dataset |
b'What is prob of sequence sdsj when four letters picked without replacement from {d: 1, x: 1, j: 2, s: 5}?\n' | b'5/378\n' | b'What is prob of sequence sdsj when four letters picked without replacement from {d: 1, x: 1, j: 2, s: 5}?\n' | b'5/378\n' | deepmind/math_dataset |
b'Suppose 0 = -4*p - p + 2*i + 15, -3*p + 3*i + 9 = 0. Solve -5*h + 4*h + 10 = p*o, -2*o + 8 = h for h.\n' | b'4\n' | b'Suppose 0 = -4*p - p + 2*i + 15, -3*p + 3*i + 9 = 0. Solve -5*h + 4*h + 10 = p*o, -2*o + 8 = h for h.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oaok. What is prob of sequence koa?\n' | b'1/12\n' | b'Three letters picked without replacement from oaok. What is prob of sequence koa?\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (s**(-5)/s**(-2)*s/(s/(s/((s*(s/(s*s**1))/s)/s)))*(s*s**(-4))/s)/((s**(-7)*(s**0*s)/s)/(s**(1/4))**(-1/45)) assuming s is positive.\n' | b's**(539/180)\n' | b'Simplify (s**(-5)/s**(-2)*s/(s/(s/((s*(s/(s*s**1))/s)/s)))*(s*s**(-4))/s)/((s**(-7)*(s**0*s)/s)/(s**(1/4))**(-1/45)) assuming s is positive.\n' | b's**(539/180)\n' | deepmind/math_dataset |
b'Let g(s) = 3*s**2 + 316*s + 585. Let r(j) = -j - 5. Let n(f) = g(f) + 5*r(f). What is the derivative of n(q) wrt q?\n' | b'6*q + 311\n' | b'Let g(s) = 3*s**2 + 316*s + 585. Let r(j) = -j - 5. Let n(f) = g(f) + 5*r(f). What is the derivative of n(q) wrt q?\n' | b'6*q + 311\n' | deepmind/math_dataset |
b'Let w(f) = -4*f**2 + 6*f - 3. Let m(b) = -b**2 + 1. Let u(x) = 3*m(x) + w(x). What is the second derivative of u(r) wrt r?\n' | b'-14\n' | b'Let w(f) = -4*f**2 + 6*f - 3. Let m(b) = -b**2 + 1. Let u(x) = 3*m(x) + w(x). What is the second derivative of u(r) wrt r?\n' | b'-14\n' | deepmind/math_dataset |
b'Let l = 45 + -42. Let r(t) = t**3 - 4*t**2 + 4*t - 2. Give r(l).\n' | b'1\n' | b'Let l = 45 + -42. Let r(t) = t**3 - 4*t**2 + 4*t - 2. Give r(l).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (b**10/b)**(-48/5)/(b**(-37))**0 assuming b is positive.\n' | b'b**(-432/5)\n' | b'Simplify (b**10/b)**(-48/5)/(b**(-37))**0 assuming b is positive.\n' | b'b**(-432/5)\n' | deepmind/math_dataset |
b'Simplify (u/(u/u**(2/143)))**(1/16) assuming u is positive.\n' | b'u**(1/1144)\n' | b'Simplify (u/(u/u**(2/143)))**(1/16) assuming u is positive.\n' | b'u**(1/1144)\n' | deepmind/math_dataset |
b'What is prob of picking 1 u, 1 l, 1 a, and 1 f when four letters picked without replacement from uifaleu?\n' | b'2/35\n' | b'What is prob of picking 1 u, 1 l, 1 a, and 1 f when four letters picked without replacement from uifaleu?\n' | b'2/35\n' | deepmind/math_dataset |
b'Suppose 20 = -3*s + j - 0*j, j - 34 = 5*s. Let y(d) = -235*d**2 + 2 + 135*d - 127*d + 236*d**2. What is y(s)?\n' | b'-5\n' | b'Suppose 20 = -3*s + j - 0*j, j - 34 = 5*s. Let y(d) = -235*d**2 + 2 + 135*d - 127*d + 236*d**2. What is y(s)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(l) = -7*l**3 - 8*l**2 + 11*l. Let k(z) = -2*z**2 - 127*z + 3137. Let s be k(19). Give u(s).\n' | b'-66\n' | b'Let u(l) = -7*l**3 - 8*l**2 + 11*l. Let k(z) = -2*z**2 - 127*z + 3137. Let s be k(19). Give u(s).\n' | b'-66\n' | deepmind/math_dataset |
b'Let g(a) = -a**2 - 8*a - 7. Let s = -67 - -61. Let j be g(s). Let o(d) = d + 10 - j + 4. What is o(-7)?\n' | b'2\n' | b'Let g(a) = -a**2 - 8*a - 7. Let s = -67 - -61. Let j be g(s). Let o(d) = d + 10 - j + 4. What is o(-7)?\n' | b'2\n' | deepmind/math_dataset |
b'Let k(d) = d. Suppose -3*j + 4*b + 34 = 0, 3*j = -4*b + 58 + 16. Let y(r) = 30*r**2 + 18*r - 24. Let c(f) = j*k(f) - y(f). What is the derivative of c(l) wrt l?\n' | b'-60*l\n' | b'Let k(d) = d. Suppose -3*j + 4*b + 34 = 0, 3*j = -4*b + 58 + 16. Let y(r) = 30*r**2 + 18*r - 24. Let c(f) = j*k(f) - y(f). What is the derivative of c(l) wrt l?\n' | b'-60*l\n' | deepmind/math_dataset |
b'Let p(h) be the first derivative of 143*h**2/2 - 83*h - 67. Differentiate p(j) wrt j.\n' | b'143\n' | b'Let p(h) be the first derivative of 143*h**2/2 - 83*h - 67. Differentiate p(j) wrt j.\n' | b'143\n' | deepmind/math_dataset |
b'Simplify (d/(d*d**(2/31)))**(-24) assuming d is positive.\n' | b'd**(48/31)\n' | b'Simplify (d/(d*d**(2/31)))**(-24) assuming d is positive.\n' | b'd**(48/31)\n' | deepmind/math_dataset |
b'Simplify ((n**3/n)/n*n/n**2)/(n**(-3))**(2/23) assuming n is positive.\n' | b'n**(6/23)\n' | b'Simplify ((n**3/n)/n*n/n**2)/(n**(-3))**(2/23) assuming n is positive.\n' | b'n**(6/23)\n' | deepmind/math_dataset |
b'Simplify (t**4)**3/(t*t/(t**4*t))**(-5/2) assuming t is positive.\n' | b't**(9/2)\n' | b'Simplify (t**4)**3/(t*t/(t**4*t))**(-5/2) assuming t is positive.\n' | b't**(9/2)\n' | deepmind/math_dataset |
b'Let n(t) = -7*t**2 + 2 - 3*t - t**3 - 2*t + 6 + 0. Let g(w) = w**2 - w. Let a be g(4). Let r be 14/(-2) - (11 - a). Determine n(r).\n' | b'2\n' | b'Let n(t) = -7*t**2 + 2 - 3*t - t**3 - 2*t + 6 + 0. Let g(w) = w**2 - w. Let a be g(4). Let r be 14/(-2) - (11 - a). Determine n(r).\n' | b'2\n' | deepmind/math_dataset |
b'Let s(x) = x**3 + 8*x**2 - 10*x - 10. Let j be s(-9). Let d(v) = 9*v**2 - 2*v - 1. Determine d(j).\n' | b'10\n' | b'Let s(x) = x**3 + 8*x**2 - 10*x - 10. Let j be s(-9). Let d(v) = 9*v**2 - 2*v - 1. Determine d(j).\n' | b'10\n' | deepmind/math_dataset |
b'Let u(b) = 4*b**3 + 6*b**2 - 3*b + 6. Let m(s) = 3*s**3 + 5*s**2 - 3*s + 5. Let w(f) = 3*m(f) - 2*u(f). Calculate w(-5).\n' | b'-32\n' | b'Let u(b) = 4*b**3 + 6*b**2 - 3*b + 6. Let m(s) = 3*s**3 + 5*s**2 - 3*s + 5. Let w(f) = 3*m(f) - 2*u(f). Calculate w(-5).\n' | b'-32\n' | deepmind/math_dataset |
b'Let g = 4351 - 4321. Let o(i) = i**3 - 31*i**2 + 32*i - 56. Give o(g).\n' | b'4\n' | b'Let g = 4351 - 4321. Let o(i) = i**3 - 31*i**2 + 32*i - 56. Give o(g).\n' | b'4\n' | deepmind/math_dataset |
b'Let r(u) = u**2 + 6*u + 3. Let q be r(-6). Solve -4*b + 6*b = 2, -q*w + 2 = 5*b for w.\n' | b'-1\n' | b'Let r(u) = u**2 + 6*u + 3. Let q be r(-6). Solve -4*b + 6*b = 2, -q*w + 2 = 5*b for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 13 + 1 = p - 2*t, 2*t + 22 = 3*p. Let d = -5 - -10. Suppose 10 - 45 = -d*m. Solve h + 4*w = m + 6, -p*h - 2 = -2*w for h.\n' | b'1\n' | b'Suppose 13 + 1 = p - 2*t, 2*t + 22 = 3*p. Let d = -5 - -10. Suppose 10 - 45 = -d*m. Solve h + 4*w = m + 6, -p*h - 2 = -2*w for h.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify p**(-1/7)*p**(-2/5) assuming p is positive.\n' | b'p**(-19/35)\n' | b'Simplify p**(-1/7)*p**(-2/5) assuming p is positive.\n' | b'p**(-19/35)\n' | deepmind/math_dataset |
b'Suppose 0 = y - 5*y - 4*l + 12, 5*y + 4*l - 16 = 0. Suppose 2*d - 10 = -z, d = y*z + 11 + 3. Solve -2 = x, -22 = 4*m + d*x - x for m.\n' | b'-3\n' | b'Suppose 0 = y - 5*y - 4*l + 12, 5*y + 4*l - 16 = 0. Suppose 2*d - 10 = -z, d = y*z + 11 + 3. Solve -2 = x, -22 = 4*m + d*x - x for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Let p(a) be the second derivative of -a**5/20 + 13*a**4/12 + 2*a**2 - 6*a. Determine p(13).\n' | b'4\n' | b'Let p(a) be the second derivative of -a**5/20 + 13*a**4/12 + 2*a**2 - 6*a. Determine p(13).\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 4, k: 10}. Give prob of sequence ttkk.\n' | b'45/1001\n' | b'Four letters picked without replacement from {t: 4, k: 10}. Give prob of sequence ttkk.\n' | b'45/1001\n' | deepmind/math_dataset |
b'Calculate prob of sequence le when two letters picked without replacement from {e: 1, b: 2, l: 4}.\n' | b'2/21\n' | b'Calculate prob of sequence le when two letters picked without replacement from {e: 1, b: 2, l: 4}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let i(v) = -v**3 + 6. Suppose -u + 4 = 7*s - 4*s, 8 = -5*s + 2*u. Calculate i(s).\n' | b'6\n' | b'Let i(v) = -v**3 + 6. Suppose -u + 4 = 7*s - 4*s, 8 = -5*s + 2*u. Calculate i(s).\n' | b'6\n' | deepmind/math_dataset |
b'Let z(d) = d**3 - 6*d**2 + 5*d + 4. Let m be z(5). Let h = -49 + 49. Solve 2*b - m = -3*y, h = 3*y + b - 4*b - 24 for y.\n' | b'4\n' | b'Let z(d) = d**3 - 6*d**2 + 5*d + 4. Let m be z(5). Let h = -49 + 49. Solve 2*b - m = -3*y, h = 3*y + b - 4*b - 24 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(c) = 2*c**2 - 18*c - 35. Let d be x(11). What is the derivative of -160*t**2 + 173*t**2 - d - 122 - 5*t wrt t?\n' | b'26*t - 5\n' | b'Let x(c) = 2*c**2 - 18*c - 35. Let d be x(11). What is the derivative of -160*t**2 + 173*t**2 - d - 122 - 5*t wrt t?\n' | b'26*t - 5\n' | deepmind/math_dataset |
b'Suppose 0 = 2*c + 13 + 1. Let d(l) = -l**2 - 8*l + 6. Calculate d(c).\n' | b'13\n' | b'Suppose 0 = 2*c + 13 + 1. Let d(l) = -l**2 - 8*l + 6. Calculate d(c).\n' | b'13\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iigiqioqeeeibee. Give prob of sequence iqqe.\n' | b'5/3276\n' | b'Four letters picked without replacement from iigiqioqeeeibee. Give prob of sequence iqqe.\n' | b'5/3276\n' | deepmind/math_dataset |
b'Let i(s) be the second derivative of -413*s**6/30 - 455*s**4/12 + s - 5. Find the third derivative of i(m) wrt m.\n' | b'-9912*m\n' | b'Let i(s) be the second derivative of -413*s**6/30 - 455*s**4/12 + s - 5. Find the third derivative of i(m) wrt m.\n' | b'-9912*m\n' | deepmind/math_dataset |
b'Let g be 20/(-6)*(-96)/40. Suppose g = 3*t + 2. Suppose 5*r - 110 = -5*x, -t*r + 0*x = 5*x - 32. Solve k - r + 5 = 4*b, -2*k = -b - 14 for k.\n' | b'5\n' | b'Let g be 20/(-6)*(-96)/40. Suppose g = 3*t + 2. Suppose 5*r - 110 = -5*x, -t*r + 0*x = 5*x - 32. Solve k - r + 5 = 4*b, -2*k = -b - 14 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (y/(y/(y/y**29))*y)**(-3/8)/(y*((y/y**(2/59)*y)/y)/y*y**(9/8)*y*y) assuming y is positive.\n' | b'y**(356/59)\n' | b'Simplify (y/(y/(y/y**29))*y)**(-3/8)/(y*((y/y**(2/59)*y)/y)/y*y**(9/8)*y*y) assuming y is positive.\n' | b'y**(356/59)\n' | deepmind/math_dataset |
b'Let l(c) = 16*c + 0 + 8*c**2 - 8 + 6*c**3 - 3*c**3. Let x(g) = g**3 + 4*g**2 + 8*g - 4. Let n(s) = -2*l(s) + 5*x(s). Give n(5).\n' | b'11\n' | b'Let l(c) = 16*c + 0 + 8*c**2 - 8 + 6*c**3 - 3*c**3. Let x(g) = g**3 + 4*g**2 + 8*g - 4. Let n(s) = -2*l(s) + 5*x(s). Give n(5).\n' | b'11\n' | deepmind/math_dataset |
b'Calculate prob of sequence yqq when three letters picked without replacement from ycsycyqcydycqiqdciy.\n' | b'2/323\n' | b'Calculate prob of sequence yqq when three letters picked without replacement from ycsycyqcydycqiqdciy.\n' | b'2/323\n' | deepmind/math_dataset |
b'Let n(f) = -2*f - 3. Suppose -8 = 20*c - 22*c. Suppose 4*t = -m + t + 15, -4*m + 32 = 5*t. Suppose m = z + 2*q - 3*q, -c*q + 8 = 0. Calculate n(z).\n' | b'-13\n' | b'Let n(f) = -2*f - 3. Suppose -8 = 20*c - 22*c. Suppose 4*t = -m + t + 15, -4*m + 32 = 5*t. Suppose m = z + 2*q - 3*q, -c*q + 8 = 0. Calculate n(z).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose 0 = -5*v + 7 + 13. Let o(g) = 6*g**3 - 7*g**2 - 4*g. Let t(z) = -z**3 + z**2 + z. Let a(x) = v*t(x) + o(x). What is the third derivative of a(m) wrt m?\n' | b'12\n' | b'Suppose 0 = -5*v + 7 + 13. Let o(g) = 6*g**3 - 7*g**2 - 4*g. Let t(z) = -z**3 + z**2 + z. Let a(x) = v*t(x) + o(x). What is the third derivative of a(m) wrt m?\n' | b'12\n' | deepmind/math_dataset |
b'Calculate prob of sequence hd when two letters picked without replacement from zdihxhxs.\n' | b'1/28\n' | b'Calculate prob of sequence hd when two letters picked without replacement from zdihxhxs.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let j(p) = p**3 - 10*p**2 + 2*p + 66. Let w be j(9). Solve 3*g - 8 = 2*d + 6*g, -w*g = -4*d + 2 for d.\n' | b'-1\n' | b'Let j(p) = p**3 - 10*p**2 + 2*p + 66. Let w be j(9). Solve 3*g - 8 = 2*d + 6*g, -w*g = -4*d + 2 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*w + 5*t + 7 = -0*t, 5*w - 11 = 4*t. Suppose w*f - 7*f + 12 = 0. Find the third derivative of 38*z + z**2 + 4*z**f - 38*z + 2*z**2 wrt z.\n' | b'24\n' | b'Suppose -4*w + 5*t + 7 = -0*t, 5*w - 11 = 4*t. Suppose w*f - 7*f + 12 = 0. Find the third derivative of 38*z + z**2 + 4*z**f - 38*z + 2*z**2 wrt z.\n' | b'24\n' | deepmind/math_dataset |
b'Suppose 0*j = -2*j. Solve -3*h - 2*p - 10 = j, -5*p + 4 = 14 for h.\n' | b'-2\n' | b'Suppose 0*j = -2*j. Solve -3*h - 2*p - 10 = j, -5*p + 4 = 14 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -386 = 25*l - 218*l. Solve -3*d + 5*j = -8, l*d = j + 20 - 17 for d.\n' | b'1\n' | b'Suppose -386 = 25*l - 218*l. Solve -3*d + 5*j = -8, l*d = j + 20 - 17 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 1, o: 5, l: 5, r: 4, z: 5}. What is prob of picking 1 l, 1 o, 1 q, and 1 r?\n' | b'20/969\n' | b'Four letters picked without replacement from {q: 1, o: 5, l: 5, r: 4, z: 5}. What is prob of picking 1 l, 1 o, 1 q, and 1 r?\n' | b'20/969\n' | deepmind/math_dataset |
b'Suppose 0 = -9*i + 11*i - 50. Suppose -6*u + u + 25 = -f, -5*u - 4*f = -i. Suppose -3 = u*j - 18. Let z(p) = 3*p + 1. Calculate z(j).\n' | b'10\n' | b'Suppose 0 = -9*i + 11*i - 50. Suppose -6*u + u + 25 = -f, -5*u - 4*f = -i. Suppose -3 = u*j - 18. Let z(p) = 3*p + 1. Calculate z(j).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 1, t: 1, a: 1, d: 1, u: 1, n: 2}. What is prob of picking 1 n and 1 u?\n' | b'2/21\n' | b'Two letters picked without replacement from {m: 1, t: 1, a: 1, d: 1, u: 1, n: 2}. What is prob of picking 1 n and 1 u?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let j(b) = 8*b**3 + 4*b + 31. Suppose 5*g = g + 16. Let r(o) = -15*o**3 - 7*o - 61. Let t(z) = g*r(z) + 7*j(z). Differentiate t(q) with respect to q.\n' | b'-12*q**2\n' | b'Let j(b) = 8*b**3 + 4*b + 31. Suppose 5*g = g + 16. Let r(o) = -15*o**3 - 7*o - 61. Let t(z) = g*r(z) + 7*j(z). Differentiate t(q) with respect to q.\n' | b'-12*q**2\n' | deepmind/math_dataset |
b'What is prob of sequence ovs when three letters picked without replacement from {s: 8, o: 3, d: 2, v: 4}?\n' | b'2/85\n' | b'What is prob of sequence ovs when three letters picked without replacement from {s: 8, o: 3, d: 2, v: 4}?\n' | b'2/85\n' | deepmind/math_dataset |
b'Simplify (i**1)**(-4/19)/((i**1/i)/i)**(-4/13) assuming i is positive.\n' | b'i**(-128/247)\n' | b'Simplify (i**1)**(-4/19)/((i**1/i)/i)**(-4/13) assuming i is positive.\n' | b'i**(-128/247)\n' | deepmind/math_dataset |
b'Suppose 2*d = -d - 18. Let u be (15/d + 3)*14. Let a be ((-2)/4)/((-1)/4). Solve -5*z = -5*l + 15, u*z - 13 = 2*z - a*l for z.\n' | b'1\n' | b'Suppose 2*d = -d - 18. Let u be (15/d + 3)*14. Let a be ((-2)/4)/((-1)/4). Solve -5*z = -5*l + 15, u*z - 13 = 2*z - a*l for z.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 4, y: 6}. Give prob of picking 3 y and 1 n.\n' | b'8/21\n' | b'Four letters picked without replacement from {n: 4, y: 6}. Give prob of picking 3 y and 1 n.\n' | b'8/21\n' | deepmind/math_dataset |
b'Simplify (v/(v**2/v))**10/((v**11/v*v*v)/v**(2/7)) assuming v is positive.\n' | b'v**(-82/7)\n' | b'Simplify (v/(v**2/v))**10/((v**11/v*v*v)/v**(2/7)) assuming v is positive.\n' | b'v**(-82/7)\n' | deepmind/math_dataset |
b'Suppose 0 = -o - 4, 4*m + 16 = -3*o + 76. Let y = -11 + m. Solve -8 = 5*k - 4*n + y, -5*k = 2*n - 15 for k.\n' | b'1\n' | b'Suppose 0 = -o - 4, 4*m + 16 = -3*o + 76. Let y = -11 + m. Solve -8 = 5*k - 4*n + y, -5*k = 2*n - 15 for k.\n' | b'1\n' | deepmind/math_dataset |
b'Let z(d) = 33*d**2 + 7*d + 15. Let g = -92 + 95. Let q(j) = 5 + 22*j**2 + 0 + 5*j + 8 - g. Let o(u) = -7*q(u) + 5*z(u). Differentiate o(n) with respect to n.\n' | b'22*n\n' | b'Let z(d) = 33*d**2 + 7*d + 15. Let g = -92 + 95. Let q(j) = 5 + 22*j**2 + 0 + 5*j + 8 - g. Let o(u) = -7*q(u) + 5*z(u). Differentiate o(n) with respect to n.\n' | b'22*n\n' | deepmind/math_dataset |
b'Suppose 8 = -2*p, -h + 4*p + 16 = -3. Solve 2*y - h*i = y - 4, 3*y - i = -4 for y.\n' | b'-1\n' | b'Suppose 8 = -2*p, -h + 4*p + 16 = -3. Solve 2*y - h*i = y - 4, 3*y - i = -4 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 e when two letters picked without replacement from aexbb.\n' | b'1/5\n' | b'Calculate prob of picking 1 b and 1 e when two letters picked without replacement from aexbb.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let y(x) be the third derivative of -x**6/24 - x**4/6 + 4*x**2. Find the second derivative of y(o) wrt o.\n' | b'-30*o\n' | b'Let y(x) be the third derivative of -x**6/24 - x**4/6 + 4*x**2. Find the second derivative of y(o) wrt o.\n' | b'-30*o\n' | deepmind/math_dataset |
b'Let i(u) = 7*u**2 - 2*u - 3. Let c(z) = -8*z**2 + z + 4. Let a(d) = 3*c(d) + 2*i(d). Let m(p) = -p**2 + 1. Let v(h) = -a(h) + 6*m(h). What is v(1)?\n' | b'5\n' | b'Let i(u) = 7*u**2 - 2*u - 3. Let c(z) = -8*z**2 + z + 4. Let a(d) = 3*c(d) + 2*i(d). Let m(p) = -p**2 + 1. Let v(h) = -a(h) + 6*m(h). What is v(1)?\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from {q: 9, f: 7, r: 2}.\n' | b'1/153\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from {q: 9, f: 7, r: 2}.\n' | b'1/153\n' | deepmind/math_dataset |
b'Let i(w) = -w**2 - 4*w - 1. Suppose -6 = 3*r - r. Let s be i(r). Suppose -s*h = -10 - 0. Solve h*d + 29 = -4*t, -4*d + 2 = -5*t + 17 for t.\n' | b'-1\n' | b'Let i(w) = -w**2 - 4*w - 1. Suppose -6 = 3*r - r. Let s be i(r). Suppose -s*h = -10 - 0. Solve h*d + 29 = -4*t, -4*d + 2 = -5*t + 17 for t.\n' | b'-1\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.