question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let c(v) = 13*v**2 + 119*v + 124. Let a be c(-8). Solve -4*b + 9*b = 3*j + 7, 2*b = a*j for j.\n' | b'1\n' | b'Let c(v) = 13*v**2 + 119*v + 124. Let a be c(-8). Solve -4*b + 9*b = 3*j + 7, 2*b = a*j for j.\n' | b'1\n' | deepmind/math_dataset |
b'Let u(p) = 0 + p**2 + 60*p + 3 - 31*p - 26*p. Let m = -8 - -5. Let f = -1 + m. What is u(f)?\n' | b'7\n' | b'Let u(p) = 0 + p**2 + 60*p + 3 - 31*p - 26*p. Let m = -8 - -5. Let f = -1 + m. What is u(f)?\n' | b'7\n' | deepmind/math_dataset |
b'Let s(a) = 31*a**3 + 58*a**2 - 112*a - 140. Let w(t) = -7*t**3 - 13*t**2 + 25*t + 31. Let n(p) = 5*s(p) + 22*w(p). Calculate n(-7).\n' | b'-95\n' | b'Let s(a) = 31*a**3 + 58*a**2 - 112*a - 140. Let w(t) = -7*t**3 - 13*t**2 + 25*t + 31. Let n(p) = 5*s(p) + 22*w(p). Calculate n(-7).\n' | b'-95\n' | deepmind/math_dataset |
b'Suppose 0 = 5*j + 2*c + 295, -5*j + 4*j - c - 59 = 0. Let w = j - -59. Solve k - g + 4 = w, k - 3*k = -5*g + 17 for k.\n' | b'-1\n' | b'Suppose 0 = 5*j + 2*c + 295, -5*j + 4*j - c - 59 = 0. Let w = j - -59. Solve k - g + 4 = w, k - 3*k = -5*g + 17 for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (i*i*i**(-1/4))**(-47/3)/(i**(-2)*((i/((i**(-2/9)/i)/i))/i*i)/i) assuming i is positive.\n' | b'i**(-995/36)\n' | b'Simplify (i*i*i**(-1/4))**(-47/3)/(i**(-2)*((i/((i**(-2/9)/i)/i))/i*i)/i) assuming i is positive.\n' | b'i**(-995/36)\n' | deepmind/math_dataset |
b'Let u(w) = w**2 + 66*w + 560. Let v be u(-10). Solve 7 = -3*z - 2*m, v = z - 9*m + 8*m - 6 for z.\n' | b'1\n' | b'Let u(w) = w**2 + 66*w + 560. Let v be u(-10). Solve 7 = -3*z - 2*m, v = z - 9*m + 8*m - 6 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -u - 4*x - 16 = -4, 4*x + 12 = 2*u. Solve u = f - 3*s, 3*f - 7 = s + s for f.\n' | b'3\n' | b'Suppose -u - 4*x - 16 = -4, 4*x + 12 = 2*u. Solve u = f - 3*s, 3*f - 7 = s + s for f.\n' | b'3\n' | deepmind/math_dataset |
b'Let u(c) be the second derivative of 0*c**5 + 59*c + 23/15*c**6 + 0*c**3 + 0 - 1/2*c**2 + 1/4*c**4. What is the third derivative of u(g) wrt g?\n' | b'1104*g\n' | b'Let u(c) be the second derivative of 0*c**5 + 59*c + 23/15*c**6 + 0*c**3 + 0 - 1/2*c**2 + 1/4*c**4. What is the third derivative of u(g) wrt g?\n' | b'1104*g\n' | deepmind/math_dataset |
b'Let i(u) be the second derivative of -7*u**5/60 - u**4/24 + 6*u**2 - 15*u. Let g(b) be the first derivative of i(b). Calculate g(1).\n' | b'-8\n' | b'Let i(u) be the second derivative of -7*u**5/60 - u**4/24 + 6*u**2 - 15*u. Let g(b) be the first derivative of i(b). Calculate g(1).\n' | b'-8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rdrdqvddvtvd. What is prob of sequence vrt?\n' | b'1/220\n' | b'Three letters picked without replacement from rdrdqvddvtvd. What is prob of sequence vrt?\n' | b'1/220\n' | deepmind/math_dataset |
b'Simplify (g**(3/14)*g**13)/((g/(g/(g**5/g)))/g*g**(-5)) assuming g is positive.\n' | b'g**(213/14)\n' | b'Simplify (g**(3/14)*g**13)/((g/(g/(g**5/g)))/g*g**(-5)) assuming g is positive.\n' | b'g**(213/14)\n' | deepmind/math_dataset |
b'Let p(i) be the first derivative of -8 + 4*i + 9 + 15 - 3*i + i**2. What is p(2)?\n' | b'5\n' | b'Let p(i) be the first derivative of -8 + 4*i + 9 + 15 - 3*i + i**2. What is p(2)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (l**(-7)/l**(2/7))/((l**2/l)/l**(-12)) assuming l is positive.\n' | b'l**(-142/7)\n' | b'Simplify (l**(-7)/l**(2/7))/((l**2/l)/l**(-12)) assuming l is positive.\n' | b'l**(-142/7)\n' | deepmind/math_dataset |
b'Let l(k) = 1346*k**3 + 731*k - 12. Let q(h) = -h**3 - 3*h - 2. Let i(p) = l(p) - 6*q(p). What is the second derivative of i(m) wrt m?\n' | b'8112*m\n' | b'Let l(k) = 1346*k**3 + 731*k - 12. Let q(h) = -h**3 - 3*h - 2. Let i(p) = l(p) - 6*q(p). What is the second derivative of i(m) wrt m?\n' | b'8112*m\n' | deepmind/math_dataset |
b'Let r = -8 - -25. Suppose 3*s = 6*s. Suppose w - 8 = -2*j + 4*w, -5*j - w + 20 = s. Solve -4*n + r = 2*z + 3, 10 = j*n - 2*z for n.\n' | b'3\n' | b'Let r = -8 - -25. Suppose 3*s = 6*s. Suppose w - 8 = -2*j + 4*w, -5*j - w + 20 = s. Solve -4*n + r = 2*z + 3, 10 = j*n - 2*z for n.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((u/u**(-12))/u)/(u/(((u*u/(u*u**(-4/3))*u*u)/u)/u)))**(-10/7) assuming u is positive.\n' | b'u**(-400/21)\n' | b'Simplify (((u/u**(-12))/u)/(u/(((u*u/(u*u**(-4/3))*u*u)/u)/u)))**(-10/7) assuming u is positive.\n' | b'u**(-400/21)\n' | deepmind/math_dataset |
b'What is the derivative of 2*c + 13 + 10 + 36 - 1 - 8 - 17*c**3 wrt c?\n' | b'-51*c**2 + 2\n' | b'What is the derivative of 2*c + 13 + 10 + 36 - 1 - 8 - 17*c**3 wrt c?\n' | b'-51*c**2 + 2\n' | deepmind/math_dataset |
b'Let q(y) be the first derivative of 1/60*y**5 - 2/3*y**3 + 0*y - 1/8*y**4 - 2 - 5/2*y**2. Let j(l) be the second derivative of q(l). Calculate j(5).\n' | b'6\n' | b'Let q(y) be the first derivative of 1/60*y**5 - 2/3*y**3 + 0*y - 1/8*y**4 - 2 - 5/2*y**2. Let j(l) be the second derivative of q(l). Calculate j(5).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (((a*((a/a**34)/a)/a)/(a*a**(-2/11)))/((a*a/((a/a**9)/a))/a**(-32)))**33 assuming a is positive.\n' | b'a**(-2568)\n' | b'Simplify (((a*((a/a**34)/a)/a)/(a*a**(-2/11)))/((a*a/((a/a**9)/a))/a**(-32)))**33 assuming a is positive.\n' | b'a**(-2568)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 12, y: 2, e: 1, a: 2, v: 2, s: 1}. Give prob of sequence vyav.\n' | b'1/14535\n' | b'Four letters picked without replacement from {q: 12, y: 2, e: 1, a: 2, v: 2, s: 1}. Give prob of sequence vyav.\n' | b'1/14535\n' | deepmind/math_dataset |
b'Simplify i**9/i*i**(4/3) assuming i is positive.\n' | b'i**(28/3)\n' | b'Simplify i**9/i*i**(4/3) assuming i is positive.\n' | b'i**(28/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 12, u: 3}. What is prob of picking 3 q?\n' | b'44/91\n' | b'Three letters picked without replacement from {q: 12, u: 3}. What is prob of picking 3 q?\n' | b'44/91\n' | deepmind/math_dataset |
b'Let u be (-2)/(34/185) - 2/17. Let p(q) = -q**3 - 10*q**2 + 11*q + 11. Calculate p(u).\n' | b'11\n' | b'Let u be (-2)/(34/185) - 2/17. Let p(q) = -q**3 - 10*q**2 + 11*q + 11. Calculate p(u).\n' | b'11\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, f: 5, m: 1, q: 6, h: 6}.\n' | b'5/57\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, f: 5, m: 1, q: 6, h: 6}.\n' | b'5/57\n' | deepmind/math_dataset |
b'Simplify (((x/(x**(-1/10)/x))/(((x*x*x*x*x**(1/4))/x)/x))/((x*x/(x**(-21)/x*x)*x)/x**(16/7)))**(6/23) assuming x is positive.\n' | b'x**(-9183/1610)\n' | b'Simplify (((x/(x**(-1/10)/x))/(((x*x*x*x*x**(1/4))/x)/x))/((x*x/(x**(-21)/x*x)*x)/x**(16/7)))**(6/23) assuming x is positive.\n' | b'x**(-9183/1610)\n' | deepmind/math_dataset |
b'Simplify (w**(-9)/w*w*w/w**(-3)*w*w)/(w/((w*(w/w**(-1/4))/w)/w))**(-3/13) assuming w is positive.\n' | b'w**(-147/52)\n' | b'Simplify (w**(-9)/w*w*w/w**(-3)*w*w)/(w/((w*(w/w**(-1/4))/w)/w))**(-3/13) assuming w is positive.\n' | b'w**(-147/52)\n' | deepmind/math_dataset |
b'Suppose 4*f - 2*f - 10 = -5*n, f - 4*n = -8. Let c be f/(1*(2 + -3)). Let v(p) = -2*p**2 + p + p**3 - 4 + c*p + 6 - 2*p**2. Give v(4).\n' | b'6\n' | b'Suppose 4*f - 2*f - 10 = -5*n, f - 4*n = -8. Let c be f/(1*(2 + -3)). Let v(p) = -2*p**2 + p + p**3 - 4 + c*p + 6 - 2*p**2. Give v(4).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (w*w*(w*w**0)/w)**(-41)*(w**(-3)*w)/(w*w**(-3))*(w**(2/7))**(-44)*(w*w/w**0)**13 assuming w is positive.\n' | b'w**(-480/7)\n' | b'Simplify (w*w*(w*w**0)/w)**(-41)*(w**(-3)*w)/(w*w**(-3))*(w**(2/7))**(-44)*(w*w/w**0)**13 assuming w is positive.\n' | b'w**(-480/7)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ppmp when four letters picked without replacement from mmmmmmpmmmpmmmmmmp.\n' | b'1/816\n' | b'Calculate prob of sequence ppmp when four letters picked without replacement from mmmmmmpmmmpmmmmmmp.\n' | b'1/816\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rwirwqwqiqrrwqqaq. Give prob of picking 1 w and 1 q.\n' | b'3/17\n' | b'Two letters picked without replacement from rwirwqwqiqrrwqqaq. Give prob of picking 1 w and 1 q.\n' | b'3/17\n' | deepmind/math_dataset |
b'Simplify (c**3*(c**(-9)*c*c)/c)**(-4)*((c*c*c/(c**(-6)/c)*c)/c)/(c**(-7)*c)*(c/(c*(c*c**(1/2)*c)/c)*c*c)**(-3/35) assuming c is positive.\n' | b'c**(2517/70)\n' | b'Simplify (c**3*(c**(-9)*c*c)/c)**(-4)*((c*c*c/(c**(-6)/c)*c)/c)/(c**(-7)*c)*(c/(c*(c*c**(1/2)*c)/c)*c*c)**(-3/35) assuming c is positive.\n' | b'c**(2517/70)\n' | deepmind/math_dataset |
b'Let j(r) be the second derivative of 1/6*r**3 - 1 - 7/2*r**2 + 29*r + 9/10*r**5 + 0*r**4. Find the second derivative of j(d) wrt d.\n' | b'108*d\n' | b'Let j(r) be the second derivative of 1/6*r**3 - 1 - 7/2*r**2 + 29*r + 9/10*r**5 + 0*r**4. Find the second derivative of j(d) wrt d.\n' | b'108*d\n' | deepmind/math_dataset |
b'What is the third derivative of 8 + 2*v + 430*v**3 - 2*v + 18*v**2 + 879*v**3 wrt v?\n' | b'7854\n' | b'What is the third derivative of 8 + 2*v + 430*v**3 - 2*v + 18*v**2 + 879*v**3 wrt v?\n' | b'7854\n' | deepmind/math_dataset |
b'What is prob of sequence bhii when four letters picked without replacement from {b: 2, i: 2, e: 7, h: 1, d: 4}?\n' | b'1/10920\n' | b'What is prob of sequence bhii when four letters picked without replacement from {b: 2, i: 2, e: 7, h: 1, d: 4}?\n' | b'1/10920\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {v: 1, s: 11}. What is prob of picking 1 v and 3 s?\n' | b'1/3\n' | b'Four letters picked without replacement from {v: 1, s: 11}. What is prob of picking 1 v and 3 s?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let m(d) be the first derivative of -5/2*d**2 + 5/3*d**3 + 1/4*d**4 + 27 + 4*d. Calculate m(-6).\n' | b'-2\n' | b'Let m(d) be the first derivative of -5/2*d**2 + 5/3*d**3 + 1/4*d**4 + 27 + 4*d. Calculate m(-6).\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(m) = 6*m**2 - m - 3. Let o be r(2). Let f be o/((-38)/(-12)) + 1. Solve n = -n - v + f, 3*n - 2*v - 21 = 0 for n.\n' | b'5\n' | b'Let r(m) = 6*m**2 - m - 3. Let o be r(2). Let f be o/((-38)/(-12)) + 1. Solve n = -n - v + f, 3*n - 2*v - 21 = 0 for n.\n' | b'5\n' | deepmind/math_dataset |
b'Let k(b) = -b + 7. Suppose -3*i = 5*g - 64, -i + 8 - 60 = -5*g. Give k(g).\n' | b'-4\n' | b'Let k(b) = -b + 7. Suppose -3*i = 5*g - 64, -i + 8 - 60 = -5*g. Give k(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((g/((g**(2/9)*g*g*g)/g))**(-39)/((g/(g/(g*g**(-1/6)))*g)/(g*(g*g**(-6))/g)))**24 assuming g is positive.\n' | b'g**980\n' | b'Simplify ((g/((g**(2/9)*g*g*g)/g))**(-39)/((g/(g/(g*g**(-1/6)))*g)/(g*(g*g**(-6))/g)))**24 assuming g is positive.\n' | b'g**980\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, z: 1, n: 1, o: 2, y: 2, a: 1}. What is prob of picking 2 o?\n' | b'1/28\n' | b'Two letters picked without replacement from {t: 1, z: 1, n: 1, o: 2, y: 2, a: 1}. What is prob of picking 2 o?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let b = -28664 - -28666. Let z(r) be the third derivative of -1/6*r**4 + 0 + 38*r**b + 0*r - 4/3*r**3. Determine z(-7).\n' | b'20\n' | b'Let b = -28664 - -28666. Let z(r) be the third derivative of -1/6*r**4 + 0 + 38*r**b + 0*r - 4/3*r**3. Determine z(-7).\n' | b'20\n' | deepmind/math_dataset |
b'Simplify ((j**19/j**16)**(2/25))**(14/11) assuming j is positive.\n' | b'j**(84/275)\n' | b'Simplify ((j**19/j**16)**(2/25))**(14/11) assuming j is positive.\n' | b'j**(84/275)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbbbbbbbbbbbbmbmbb. What is prob of picking 1 m and 2 b?\n' | b'5/17\n' | b'Three letters picked without replacement from bbbbbbbbbbbbbmbmbb. What is prob of picking 1 m and 2 b?\n' | b'5/17\n' | deepmind/math_dataset |
b'Suppose -5*t = 0, d = -5*t + t - 16. Let p = d - -22. Solve -33 = 5*f + 4*s, -s + 10 = -p*s for f.\n' | b'-5\n' | b'Suppose -5*t = 0, d = -5*t + t - 16. Let p = d - -22. Solve -33 = 5*f + 4*s, -s + 10 = -p*s for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 2*l - 16 = -0*j + 4*j, -19 = -5*l + 3*j. Solve -l*z = -5*h + 21 - 0, h = -2*z - 3 for h.\n' | b'3\n' | b'Suppose 2*l - 16 = -0*j + 4*j, -19 = -5*l + 3*j. Solve -l*z = -5*h + 21 - 0, h = -2*z - 3 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tqqtqtq. Give prob of picking 3 t.\n' | b'1/35\n' | b'Three letters picked without replacement from tqqtqtq. Give prob of picking 3 t.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let a(h) = -h**3 + 2*h**2 + 8*h + 7. Let v be a(4). What is the second derivative of 21*x + v*x + 35*x**5 - 5*x wrt x?\n' | b'700*x**3\n' | b'Let a(h) = -h**3 + 2*h**2 + 8*h + 7. Let v be a(4). What is the second derivative of 21*x + v*x + 35*x**5 - 5*x wrt x?\n' | b'700*x**3\n' | deepmind/math_dataset |
b'Let b(m) = -2*m**3 + 4*m**2 - m + 5. Suppose -248*l + 254*l = 18. What is b(l)?\n' | b'-16\n' | b'Let b(m) = -2*m**3 + 4*m**2 - m + 5. Suppose -248*l + 254*l = 18. What is b(l)?\n' | b'-16\n' | deepmind/math_dataset |
b'Suppose -3*r = -3*v - 9, -r - 16*v = -19*v - 13. Let b(k) = 4 - 2*k + 7 + 6*k. Let i be b(r). Solve -h - 1 = i*m - 5, 4 = -5*h - 3*m for h.\n' | b'-2\n' | b'Suppose -3*r = -3*v - 9, -r - 16*v = -19*v - 13. Let b(k) = 4 - 2*k + 7 + 6*k. Let i be b(r). Solve -h - 1 = i*m - 5, 4 = -5*h - 3*m for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x be ((-12)/8)/((-2)/4). Let m = -49188 - -49189. Suppose -4*t = -0*g - g - 69, -2*t = -g - 35. Solve 4*i + j + m = -2*j, -t = x*i - j for i.\n' | b'-4\n' | b'Let x be ((-12)/8)/((-2)/4). Let m = -49188 - -49189. Suppose -4*t = -0*g - g - 69, -2*t = -g - 35. Solve 4*i + j + m = -2*j, -t = x*i - j for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence gq when two letters picked without replacement from xqgxqxouxuxmu.\n' | b'1/78\n' | b'Calculate prob of sequence gq when two letters picked without replacement from xqgxqxouxuxmu.\n' | b'1/78\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lbkukzlubbbuup. What is prob of sequence ub?\n' | b'8/91\n' | b'Two letters picked without replacement from lbkukzlubbbuup. What is prob of sequence ub?\n' | b'8/91\n' | deepmind/math_dataset |
b'Suppose 2*u + 4*j = -j - 75, 4*u + 135 = 5*j. Let t be 56/u*(-5)/2. What is the second derivative of -2*b**2 - 4*b + 2*b**2 + 2*b**t + b wrt b?\n' | b'24*b**2\n' | b'Suppose 2*u + 4*j = -j - 75, 4*u + 135 = 5*j. Let t be 56/u*(-5)/2. What is the second derivative of -2*b**2 - 4*b + 2*b**2 + 2*b**t + b wrt b?\n' | b'24*b**2\n' | deepmind/math_dataset |
b'Simplify ((((r*r/(r**(-18)*r*r))/r)/r)/(r*(r/((r/r**3)/r))/r))**(-9/5) assuming r is positive.\n' | b'r**(-108/5)\n' | b'Simplify ((((r*r/(r**(-18)*r*r))/r)/r)/(r*(r/((r/r**3)/r))/r))**(-9/5) assuming r is positive.\n' | b'r**(-108/5)\n' | deepmind/math_dataset |
b'Suppose -3*y + 7 = -2. Suppose -11*s = -v - 10*s - 2, 0 = 4*v + 3*s - 20. Find the third derivative of 6*h**3 - 7*h**y + 2*h**3 + 11*h**v wrt h.\n' | b'6\n' | b'Suppose -3*y + 7 = -2. Suppose -11*s = -v - 10*s - 2, 0 = 4*v + 3*s - 20. Find the third derivative of 6*h**3 - 7*h**y + 2*h**3 + 11*h**v wrt h.\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 0*p = 4*p + 12. Let k be ((-2)/2)/(p/21). Let r = -2 + k. Solve -5*b - 35 = -r*s, 5*b = -2*s - 9 - 5 for s.\n' | b'3\n' | b'Suppose 0*p = 4*p + 12. Let k be ((-2)/2)/(p/21). Let r = -2 + k. Solve -5*b - 35 = -r*s, 5*b = -2*s - 9 - 5 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (w*w**(-12))/((w/(w/(w*((w*w**(-2/11))/w*w)/w)))/w*w) assuming w is positive.\n' | b'w**(-130/11)\n' | b'Simplify (w*w**(-12))/((w/(w/(w*((w*w**(-2/11))/w*w)/w)))/w*w) assuming w is positive.\n' | b'w**(-130/11)\n' | deepmind/math_dataset |
b'Suppose 2413 = -2*r - m - 1053, -8*r - 13868 = 5*m. Let w = -1729 - r. Let g = -15 + 28. Solve 5*u = 3*t - g, 5*u - w*t = 2*t - 14 for u.\n' | b'-2\n' | b'Suppose 2413 = -2*r - m - 1053, -8*r - 13868 = 5*m. Let w = -1729 - r. Let g = -15 + 28. Solve 5*u = 3*t - g, 5*u - w*t = 2*t - 14 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ggn when three letters picked without replacement from {n: 2, g: 16}.\n' | b'5/51\n' | b'Calculate prob of sequence ggn when three letters picked without replacement from {n: 2, g: 16}.\n' | b'5/51\n' | deepmind/math_dataset |
b'Simplify y**1*y*y*y*y**(-28)*y*y*(y/((y**6/y)/y)*y)**(25/6) assuming y is positive.\n' | b'y**(-91/3)\n' | b'Simplify y**1*y*y*y*y**(-28)*y*y*(y/((y**6/y)/y)*y)**(25/6) assuming y is positive.\n' | b'y**(-91/3)\n' | deepmind/math_dataset |
b'Let a be (-4 + -8)*20/(-12). Suppose -5*x + s = -a, -8 = -3*x - s + 4. Solve -4*g = x*l - 4, 2*g - 3*g + 10 = 4*l for g.\n' | b'-2\n' | b'Let a be (-4 + -8)*20/(-12). Suppose -5*x + s = -a, -8 = -3*x - s + 4. Solve -4*g = x*l - 4, 2*g - 3*g + 10 = 4*l for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((m**(2/11))**18*(m/(m/(m*m/m**0)))**(-1/6))**1 assuming m is positive.\n' | b'm**(97/33)\n' | b'Simplify ((m**(2/11))**18*(m/(m/(m*m/m**0)))**(-1/6))**1 assuming m is positive.\n' | b'm**(97/33)\n' | deepmind/math_dataset |
b'Let w(b) be the second derivative of -5*b + 1/3*b**3 + 0*b**2 + 1/12*b**4 + 0. Give w(-1).\n' | b'-1\n' | b'Let w(b) be the second derivative of -5*b + 1/3*b**3 + 0*b**2 + 1/12*b**4 + 0. Give w(-1).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify x**31/x**(-6)*(x*x**(-27)/x)/x**(3/10) assuming x is positive.\n' | b'x**(97/10)\n' | b'Simplify x**31/x**(-6)*(x*x**(-27)/x)/x**(3/10) assuming x is positive.\n' | b'x**(97/10)\n' | deepmind/math_dataset |
b'Let w(y) = -46*y**6 + 4*y**5 + 10*y**2 + 4*y. Let z(f) = f**6 + f**5 + f. Let l(g) = w(g) - 4*z(g). What is the third derivative of l(h) wrt h?\n' | b'-6000*h**3\n' | b'Let w(y) = -46*y**6 + 4*y**5 + 10*y**2 + 4*y. Let z(f) = f**6 + f**5 + f. Let l(g) = w(g) - 4*z(g). What is the third derivative of l(h) wrt h?\n' | b'-6000*h**3\n' | deepmind/math_dataset |
b'Let s(u) be the second derivative of u**3/6 + u**2/2 - 2*u - 3. Determine s(6).\n' | b'7\n' | b'Let s(u) be the second derivative of u**3/6 + u**2/2 - 2*u - 3. Determine s(6).\n' | b'7\n' | deepmind/math_dataset |
b'Find the first derivative of 5*h - 372 + 753 - 355 wrt h.\n' | b'5\n' | b'Find the first derivative of 5*h - 372 + 753 - 355 wrt h.\n' | b'5\n' | deepmind/math_dataset |
b'Let b(d) be the first derivative of -1377*d**4/4 - 2615*d**3/3 + 1560. What is the third derivative of b(u) wrt u?\n' | b'-8262\n' | b'Let b(d) be the first derivative of -1377*d**4/4 - 2615*d**3/3 + 1560. What is the third derivative of b(u) wrt u?\n' | b'-8262\n' | deepmind/math_dataset |
b'Let u(s) be the third derivative of -2897*s**5/15 - 125*s**4/4 - s**2 + 178. What is the second derivative of u(d) wrt d?\n' | b'-23176\n' | b'Let u(s) be the third derivative of -2897*s**5/15 - 125*s**4/4 - s**2 + 178. What is the second derivative of u(d) wrt d?\n' | b'-23176\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 l when two letters picked without replacement from lttve?\n' | b'1/10\n' | b'What is prob of picking 1 e and 1 l when two letters picked without replacement from lttve?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (p/(p/p**(-2/3)))**(-2/15) assuming p is positive.\n' | b'p**(4/45)\n' | b'Simplify (p/(p/p**(-2/3)))**(-2/15) assuming p is positive.\n' | b'p**(4/45)\n' | deepmind/math_dataset |
b'Let c = 12 + -6. Let y(q) = -2*q**2 + 30*q - 19. Let u be y(14). Suppose -3*a = 3*s - u, 4*a + 2*s = s + 12. Solve -5*o = 3*r + 7, a*r = -r - 5*o - c for r.\n' | b'1\n' | b'Let c = 12 + -6. Let y(q) = -2*q**2 + 30*q - 19. Let u be y(14). Suppose -3*a = 3*s - u, 4*a + 2*s = s + 12. Solve -5*o = 3*r + 7, a*r = -r - 5*o - c for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (i/i**(1/6))**(1/39)/((i**(-4/9)/i)/i**(1/4)) assuming i is positive.\n' | b'i**(803/468)\n' | b'Simplify (i/i**(1/6))**(1/39)/((i**(-4/9)/i)/i**(1/4)) assuming i is positive.\n' | b'i**(803/468)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hhxxxxxta. What is prob of picking 1 h and 1 a?\n' | b'1/18\n' | b'Two letters picked without replacement from hhxxxxxta. What is prob of picking 1 h and 1 a?\n' | b'1/18\n' | deepmind/math_dataset |
b'Let q(o) = 58*o + 119. Let g be q(-2). Suppose -111 - 44 = -5*s. Solve -b + g*f = 4*b + s, f = -b - 3 for b.\n' | b'-5\n' | b'Let q(o) = 58*o + 119. Let g be q(-2). Suppose -111 - 44 = -5*s. Solve -b + g*f = 4*b + s, f = -b - 3 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((p**(-2)/p)**(10/11))**(1/2)*(p/p**0*p)**(-2/83)*((p/(p*p**(-2)/p))/p*p)/p**(-2/7) assuming p is positive.\n' | b'p**(11976/6391)\n' | b'Simplify ((p**(-2)/p)**(10/11))**(1/2)*(p/p**0*p)**(-2/83)*((p/(p*p**(-2)/p))/p*p)/p**(-2/7) assuming p is positive.\n' | b'p**(11976/6391)\n' | deepmind/math_dataset |
b'Simplify (c**(-1/6)/c*c**(-4/11)*c**1/c*c*c**(1/3))**11 assuming c is positive.\n' | b'c**(-13/6)\n' | b'Simplify (c**(-1/6)/c*c**(-4/11)*c**1/c*c*c**(1/3))**11 assuming c is positive.\n' | b'c**(-13/6)\n' | deepmind/math_dataset |
b'Let d = 197 - 166. Let n be 0 + -6 - (-186)/d. Solve -3*h + 2*i = 11, -2 = i - n for h.\n' | b'-5\n' | b'Let d = 197 - 166. Let n be 0 + -6 - (-186)/d. Solve -3*h + 2*i = 11, -2 = i - n for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let b be ((-24)/21)/(14/49). Let a(q) = -6*q - 28. Determine a(b).\n' | b'-4\n' | b'Let b be ((-24)/21)/(14/49). Let a(q) = -6*q - 28. Determine a(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Let y(l) = l - 1. Let x(q) = -q**3 + 5*q**2 + 6*q - 3. Let m be x(5). Suppose -3*k + m = 2*a, 5*a + 5*k = 2*k + 45. Determine y(a).\n' | b'5\n' | b'Let y(l) = l - 1. Let x(q) = -q**3 + 5*q**2 + 6*q - 3. Let m be x(5). Suppose -3*k + m = 2*a, 5*a + 5*k = 2*k + 45. Determine y(a).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -2*c + 2 = 3*g, -6*c + 3*g - 32 = -2*c. Let t be 5/2*(-18)/c + 1. Let l be (t - -7) + (-2)/(-2). Solve -3*s = 3*b + l, -s = -b - 5*s - 18 for b.\n' | b'-2\n' | b'Suppose -2*c + 2 = 3*g, -6*c + 3*g - 32 = -2*c. Let t be 5/2*(-18)/c + 1. Let l be (t - -7) + (-2)/(-2). Solve -3*s = 3*b + l, -s = -b - 5*s - 18 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzcmiiimzczizoemzmoe. What is prob of sequence mz?\n' | b'6/95\n' | b'Two letters picked without replacement from zzcmiiimzczizoemzmoe. What is prob of sequence mz?\n' | b'6/95\n' | deepmind/math_dataset |
b'Let y(u) be the first derivative of -9*u**2 + 64*u - 28. What is the derivative of y(d) wrt d?\n' | b'-18\n' | b'Let y(u) be the first derivative of -9*u**2 + 64*u - 28. What is the derivative of y(d) wrt d?\n' | b'-18\n' | deepmind/math_dataset |
b'Let r = 643 + -385. Let b = -238 + r. Solve 5*q + b = 0, -y - 5*q = 6 + 10 for y.\n' | b'4\n' | b'Let r = 643 + -385. Let b = -238 + r. Solve 5*q + b = 0, -y - 5*q = 6 + 10 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let j(k) be the first derivative of 1/2*k**2 + 1 + 0*k - k**4 + 0*k**3. Give j(-1).\n' | b'3\n' | b'Let j(k) be the first derivative of 1/2*k**2 + 1 + 0*k - k**4 + 0*k**3. Give j(-1).\n' | b'3\n' | deepmind/math_dataset |
b'Let k(a) = -a + 92 - 93 - 2*a. Suppose 13*s = -s - 28. Determine k(s).\n' | b'5\n' | b'Let k(a) = -a + 92 - 93 - 2*a. Suppose 13*s = -s - 28. Determine k(s).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ovvouoouoovuovov. What is prob of sequence uooo?\n' | b'3/130\n' | b'Four letters picked without replacement from ovvouoouoovuovov. What is prob of sequence uooo?\n' | b'3/130\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 3, r: 5}. What is prob of picking 3 b?\n' | b'1/56\n' | b'Three letters picked without replacement from {b: 3, r: 5}. What is prob of picking 3 b?\n' | b'1/56\n' | deepmind/math_dataset |
b'What is prob of picking 3 w when three letters picked without replacement from {q: 11, w: 3}?\n' | b'1/364\n' | b'What is prob of picking 3 w when three letters picked without replacement from {q: 11, w: 3}?\n' | b'1/364\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pppbpppbppppbpp. What is prob of sequence bbp?\n' | b'12/455\n' | b'Three letters picked without replacement from pppbpppbppppbpp. What is prob of sequence bbp?\n' | b'12/455\n' | deepmind/math_dataset |
b'Suppose 3*s - 3*i = -2*s + 23, 0 = -3*s + 3*i + 15. What is the first derivative of 90*g**2 + 264*g**s + 114 - 35*g**4 + 98*g**2 - 188*g**2 wrt g?\n' | b'916*g**3\n' | b'Suppose 3*s - 3*i = -2*s + 23, 0 = -3*s + 3*i + 15. What is the first derivative of 90*g**2 + 264*g**s + 114 - 35*g**4 + 98*g**2 - 188*g**2 wrt g?\n' | b'916*g**3\n' | deepmind/math_dataset |
b'Suppose 13 + 24 = x - 3*u, 0 = -4*u - 20. Let n = x - -19. Let m(d) = -4*d - 3. Let q be m(-2). Solve 0 = q*t - 4*f - 29, 5*t = 3*f - 13 + n for t.\n' | b'5\n' | b'Suppose 13 + 24 = x - 3*u, 0 = -4*u - 20. Let n = x - -19. Let m(d) = -4*d - 3. Let q be m(-2). Solve 0 = q*t - 4*f - 29, 5*t = 3*f - 13 + n for t.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (i*i**(-1/4)*i)**(-8)*((i/(i/i**(-1/7)))/i*i)/((i*i**(-8))/i) assuming i is positive.\n' | b'i**(-43/7)\n' | b'Simplify (i*i**(-1/4)*i)**(-8)*((i/(i/i**(-1/7)))/i*i)/((i*i**(-8))/i) assuming i is positive.\n' | b'i**(-43/7)\n' | deepmind/math_dataset |
b'What is prob of picking 2 p and 2 u when four letters picked without replacement from ppuuupulpuplpuuuuu?\n' | b'15/68\n' | b'What is prob of picking 2 p and 2 u when four letters picked without replacement from ppuuupulpuplpuuuuu?\n' | b'15/68\n' | deepmind/math_dataset |
b'What is prob of sequence nn when two letters picked without replacement from nnnnqnxqqq?\n' | b'2/9\n' | b'What is prob of sequence nn when two letters picked without replacement from nnnnqnxqqq?\n' | b'2/9\n' | deepmind/math_dataset |
b'Let t(m) = -3*m - 4 + 3*m**2 + 3 + 0. Let k(o) = -o**3 + 2*o**2 + 2*o - 1. Let x be k(2). Let i be t(x). Solve 11 = -2*a - q, 5*a + 6 = 2*q - i for a.\n' | b'-5\n' | b'Let t(m) = -3*m - 4 + 3*m**2 + 3 + 0. Let k(o) = -o**3 + 2*o**2 + 2*o - 1. Let x be k(2). Let i be t(x). Solve 11 = -2*a - q, 5*a + 6 = 2*q - i for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*n - 5*f + 24 = 0, -7*n + 10*n - 2*f = -2. Find the third derivative of -131*t**3 + 1470*t**2 - 1472*t**n - 110*t - 52*t + 2*t**4 wrt t.\n' | b'48*t - 786\n' | b'Suppose -2*n - 5*f + 24 = 0, -7*n + 10*n - 2*f = -2. Find the third derivative of -131*t**3 + 1470*t**2 - 1472*t**n - 110*t - 52*t + 2*t**4 wrt t.\n' | b'48*t - 786\n' | deepmind/math_dataset |
b'Let o(v) be the second derivative of -v**7/840 - v**6/60 + 7*v**5/120 + v**4/24 + 4*v**3/3 - 12*v. Let q(p) be the second derivative of o(p). Give q(-7).\n' | b'1\n' | b'Let o(v) be the second derivative of -v**7/840 - v**6/60 + 7*v**5/120 + v**4/24 + 4*v**3/3 - 12*v. Let q(p) be the second derivative of o(p). Give q(-7).\n' | b'1\n' | deepmind/math_dataset |
b'Let d(c) = c**2 - 3*c + 2*c - 5*c + c - 1. Let g be d(5). Let u = g - -5. Solve -u*o = f + 6, 6*f - 2*f + 5 = 3*o for f.\n' | b'-2\n' | b'Let d(c) = c**2 - 3*c + 2*c - 5*c + c - 1. Let g be d(5). Let u = g - -5. Solve -u*o = f + 6, 6*f - 2*f + 5 = 3*o for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(k) = -k**3 + k - 1. Let z(m) = 6*m**3 - 5*m**2 - 3*m - 2. Let g(l) = -5*b(l) - z(l). What is g(5)?\n' | b'-3\n' | b'Let b(k) = -k**3 + k - 1. Let z(m) = 6*m**3 - 5*m**2 - 3*m - 2. Let g(l) = -5*b(l) - z(l). What is g(5)?\n' | b'-3\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.