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'Calculate prob of sequence bw when two letters picked without replacement from iwwwrrbdprwdwdd.\n' | b'1/42\n' | b'Calculate prob of sequence bw when two letters picked without replacement from iwwwrrbdprwdwdd.\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify ((m*m/m**3*m)/m**(-6))**(-7/3)*(m/m**1)**(1/40)/(m**(-5)*m**0*m) assuming m is positive.\n' | b'm**(-10)\n' | b'Simplify ((m*m/m**3*m)/m**(-6))**(-7/3)*(m/m**1)**(1/40)/(m**(-5)*m**0*m) assuming m is positive.\n' | b'm**(-10)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffyyyyfyff. What is prob of sequence yf?\n' | b'5/18\n' | b'Two letters picked without replacement from ffyyyyfyff. What is prob of sequence yf?\n' | b'5/18\n' | deepmind/math_dataset |
b'Let u(v) be the first derivative of -1079*v**2/2 - 81*v - 629. Differentiate u(y) wrt y.\n' | b'-1079\n' | b'Let u(v) be the first derivative of -1079*v**2/2 - 81*v - 629. Differentiate u(y) wrt y.\n' | b'-1079\n' | deepmind/math_dataset |
b'Let q be (3 - -3) + -9 - (-362)/120. Let c(n) be the third derivative of -6*n**2 - q*n**5 + 0*n - 3/2*n**3 + 0 - 5/12*n**4. Give c(-9).\n' | b'0\n' | b'Let q be (3 - -3) + -9 - (-362)/120. Let c(n) be the third derivative of -6*n**2 - q*n**5 + 0*n - 3/2*n**3 + 0 - 5/12*n**4. Give c(-9).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -34*u + 118 + 52 = 0. Solve -u*i - 3*y - 11 = 0, -2*y = 20 - 26 for i.\n' | b'-4\n' | b'Suppose -34*u + 118 + 52 = 0. Solve -u*i - 3*y - 11 = 0, -2*y = 20 - 26 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(k) = k**3 - 2*k**2 + 2. Let x be p(2). What is the third derivative of 0*q**2 + 7*q**4 - x*q**2 - 10*q**4 + q**2 wrt q?\n' | b'-72*q\n' | b'Let p(k) = k**3 - 2*k**2 + 2. Let x be p(2). What is the third derivative of 0*q**2 + 7*q**4 - x*q**2 - 10*q**4 + q**2 wrt q?\n' | b'-72*q\n' | deepmind/math_dataset |
b'Let n(j) = -j**3 - 3*j**2 + 11*j + 7. Let g be n(-5). Suppose g*m + 2*m = 20. Let x(i) = -4*i**2 + i - 1 - 5*i + i**3 - i. What is x(m)?\n' | b'-1\n' | b'Let n(j) = -j**3 - 3*j**2 + 11*j + 7. Let g be n(-5). Suppose g*m + 2*m = 20. Let x(i) = -4*i**2 + i - 1 - 5*i + i**3 - i. What is x(m)?\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pbjyyrwbppwbbryj. What is prob of picking 1 y and 1 b?\n' | b'1/10\n' | b'Two letters picked without replacement from pbjyyrwbppwbbryj. What is prob of picking 1 y and 1 b?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose 6*t - 4*t - 38 = 0. Find the second derivative of -27*a**3 + 3*a - 20*a**3 - 25 - 2*a**5 + t wrt a.\n' | b'-40*a**3 - 282*a\n' | b'Suppose 6*t - 4*t - 38 = 0. Find the second derivative of -27*a**3 + 3*a - 20*a**3 - 25 - 2*a**5 + t wrt a.\n' | b'-40*a**3 - 282*a\n' | deepmind/math_dataset |
b'Let f(z) = 3*z**3 + 2*z**2 - 10*z - 2. Let o(v) = -5*v**3 - 5*v**2 + 19*v + 3. Let i(u) = -7*f(u) - 4*o(u). Let m be ((-10)/2)/(325/13 + -26). Calculate i(m).\n' | b'-3\n' | b'Let f(z) = 3*z**3 + 2*z**2 - 10*z - 2. Let o(v) = -5*v**3 - 5*v**2 + 19*v + 3. Let i(u) = -7*f(u) - 4*o(u). Let m be ((-10)/2)/(325/13 + -26). Calculate i(m).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from sebisiebbeshesseshsu. Give prob of picking 1 s, 1 u, 1 i, and 1 b.\n' | b'14/1615\n' | b'Four letters picked without replacement from sebisiebbeshesseshsu. Give prob of picking 1 s, 1 u, 1 i, and 1 b.\n' | b'14/1615\n' | deepmind/math_dataset |
b'What is prob of sequence hph when three letters picked without replacement from hppjpkjajpjkjpjjjh?\n' | b'5/2448\n' | b'What is prob of sequence hph when three letters picked without replacement from hppjpkjajpjkjpjjjh?\n' | b'5/2448\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vuuuuuuuuuvuuvuu. What is prob of sequence uuu?\n' | b'143/280\n' | b'Three letters picked without replacement from vuuuuuuuuuvuuvuu. What is prob of sequence uuu?\n' | b'143/280\n' | deepmind/math_dataset |
b'What is prob of sequence ywi when three letters picked without replacement from yiyyywwwwywwyw?\n' | b'1/52\n' | b'What is prob of sequence ywi when three letters picked without replacement from yiyyywwwwywwyw?\n' | b'1/52\n' | deepmind/math_dataset |
b'Suppose 0 = 3*x + 2*x - 10. Suppose -u = 5*k - 10, -2*k + 7*k + 15 = 4*u. Solve -4 = -3*f - k, -4*m = -2*f + x for m.\n' | b'0\n' | b'Suppose 0 = 3*x + 2*x - 10. Suppose -u = 5*k - 10, -2*k + 7*k + 15 = 4*u. Solve -4 = -3*f - k, -4*m = -2*f + x for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(k) = 2*k**3 - 2*k**2 - 1. Let z = 74 + -72. Suppose -24 = z*g - 14*g. Calculate a(g).\n' | b'7\n' | b'Let a(k) = 2*k**3 - 2*k**2 - 1. Let z = 74 + -72. Suppose -24 = z*g - 14*g. Calculate a(g).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose -2*r = -0 + 16. Let s(k) = k + 12. What is s(r)?\n' | b'4\n' | b'Suppose -2*r = -0 + 16. Let s(k) = k + 12. What is s(r)?\n' | b'4\n' | deepmind/math_dataset |
b'Let r(g) be the third derivative of 5*g**8/24 - 93*g**5/20 - 3*g**2 + 162. What is the third derivative of r(t) wrt t?\n' | b'4200*t**2\n' | b'Let r(g) be the third derivative of 5*g**8/24 - 93*g**5/20 - 3*g**2 + 162. What is the third derivative of r(t) wrt t?\n' | b'4200*t**2\n' | deepmind/math_dataset |
b'Let l(c) = -c**3 + 7*c**2 - c + 12. Let s be l(7). Solve s = -5*r - 0, -r + 1 = -2*o for o.\n' | b'-1\n' | b'Let l(c) = -c**3 + 7*c**2 - c + 12. Let s be l(7). Solve s = -5*r - 0, -r + 1 = -2*o for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from gjrjgjjjjjjrggrjjjm.\n' | b'55/171\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from gjrjgjjjjjjrggrjjjm.\n' | b'55/171\n' | deepmind/math_dataset |
b'Suppose -11*u - 24 = -19*u. Solve 0 = 2*g - 4, -g + u = m + 3*g for m.\n' | b'-5\n' | b'Suppose -11*u - 24 = -19*u. Solve 0 = 2*g - 4, -g + u = m + 3*g for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from {d: 3, p: 2, f: 1, o: 1}.\n' | b'1/21\n' | b'Calculate prob of sequence pp when two letters picked without replacement from {d: 3, p: 2, f: 1, o: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose -390 - 60 = -90*l. Solve 2*a + 8 = -l*d, -3*d - 7 = 3*a + 5 for d.\n' | b'0\n' | b'Suppose -390 - 60 = -90*l. Solve 2*a + 8 = -l*d, -3*d - 7 = 3*a + 5 for d.\n' | b'0\n' | deepmind/math_dataset |
b'Let v(d) = d**3 - 41*d**2 - 2*d + 85. Let p be v(41). Solve 4*z + 0 = 4*m - 8, 30 = -5*m - p*z for m.\n' | b'-3\n' | b'Let v(d) = d**3 - 41*d**2 - 2*d + 85. Let p be v(41). Solve 4*z + 0 = 4*m - 8, 30 = -5*m - p*z for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((p/(p/(p/p**(-8))))/p)/p**7*(p/(p/((p*p**(-10)*p)/p)))**(-3/13))**30 assuming p is positive.\n' | b'p**(1200/13)\n' | b'Simplify (((p/(p/(p/p**(-8))))/p)/p**7*(p/(p/((p*p**(-10)*p)/p)))**(-3/13))**30 assuming p is positive.\n' | b'p**(1200/13)\n' | deepmind/math_dataset |
b'Let i = -21924 + 21926. Solve i*h + 16 = -3*z, -2*h = -2*z - 2*z - 12 for z.\n' | b'-4\n' | b'Let i = -21924 + 21926. Solve i*h + 16 = -3*z, -2*h = -2*z - 2*z - 12 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence huu when three letters picked without replacement from eeuheheeeueuheeuhhe?\n' | b'10/969\n' | b'What is prob of sequence huu when three letters picked without replacement from eeuheheeeueuheeuhhe?\n' | b'10/969\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuijiuuiii. Give prob of picking 3 u and 1 i.\n' | b'2/21\n' | b'Four letters picked without replacement from uuijiuuiii. Give prob of picking 3 u and 1 i.\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence xf when two letters picked without replacement from {x: 3, f: 1}.\n' | b'1/4\n' | b'Calculate prob of sequence xf when two letters picked without replacement from {x: 3, f: 1}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose -5*o + 3*d + 31 = -d, -19 = -2*o - 5*d. Suppose -6*b - 5 = -o*b. Let j(l) = 2 - l - 3 + 13. Determine j(b).\n' | b'7\n' | b'Suppose -5*o + 3*d + 31 = -d, -19 = -2*o - 5*d. Suppose -6*b - 5 = -o*b. Let j(l) = 2 - l - 3 + 13. Determine j(b).\n' | b'7\n' | deepmind/math_dataset |
b'Let b(w) = -10*w**2. Let a(o) = o**2 + o - 1. Let d(r) = -a(r) - b(r). What is d(1)?\n' | b'9\n' | b'Let b(w) = -10*w**2. Let a(o) = o**2 + o - 1. Let d(r) = -a(r) - b(r). What is d(1)?\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 1, q: 3, d: 3, n: 2, j: 1}. Give prob of sequence jnq.\n' | b'1/120\n' | b'Three letters picked without replacement from {x: 1, q: 3, d: 3, n: 2, j: 1}. Give prob of sequence jnq.\n' | b'1/120\n' | deepmind/math_dataset |
b'Let p(k) = -k - 1. Let h be 17/(-5) - 4/(-10). Let a = h - -8. Suppose -3*r + 14 - a = 0. What is p(r)?\n' | b'-4\n' | b'Let p(k) = -k - 1. Let h be 17/(-5) - 4/(-10). Let a = h - -8. Suppose -3*r + 14 - a = 0. What is p(r)?\n' | b'-4\n' | deepmind/math_dataset |
b'What is the third derivative of -9*h**2 + 2*h**3 - 5*h**2 + h**2 - 4*h**3 wrt h?\n' | b'-12\n' | b'What is the third derivative of -9*h**2 + 2*h**3 - 5*h**2 + h**2 - 4*h**3 wrt h?\n' | b'-12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 2, w: 6}. Give prob of picking 2 g.\n' | b'1/28\n' | b'Two letters picked without replacement from {g: 2, w: 6}. Give prob of picking 2 g.\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (q/(q**(-1)*q)*q/(q/q**(1/7))*q)/(q/((q**(2/19)/q)/q))**(-12/17) assuming q is positive.\n' | b'q**(9465/2261)\n' | b'Simplify (q/(q**(-1)*q)*q/(q/q**(1/7))*q)/(q/((q**(2/19)/q)/q))**(-12/17) assuming q is positive.\n' | b'q**(9465/2261)\n' | deepmind/math_dataset |
b'Let i(j) be the first derivative of -1/2*j**2 - 36 + 8*j. What is i(11)?\n' | b'-3\n' | b'Let i(j) be the first derivative of -1/2*j**2 - 36 + 8*j. What is i(11)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let m(a) = -2*a**3 + 26*a**2 + 8. Let r be m(13). Suppose 20 = r*l - 3*l. Solve 4*j = -l*d - 12, -2 = 6*j - 4*j + d for j.\n' | b'1\n' | b'Let m(a) = -2*a**3 + 26*a**2 + 8. Let r be m(13). Suppose 20 = r*l - 3*l. Solve 4*j = -l*d - 12, -2 = 6*j - 4*j + d for j.\n' | b'1\n' | deepmind/math_dataset |
b'Let l be 532/95 + -6 - (-16)/(-10). Let i(n) = 3*n - 6. Determine i(l).\n' | b'-12\n' | b'Let l be 532/95 + -6 - (-16)/(-10). Let i(n) = 3*n - 6. Determine i(l).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify r**(-5/9)/(r*r/(r*r/r**(-8/7))) assuming r is positive.\n' | b'r**(37/63)\n' | b'Simplify r**(-5/9)/(r*r/(r*r/r**(-8/7))) assuming r is positive.\n' | b'r**(37/63)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qsqtqqsqstqsssq. What is prob of sequence qsqs?\n' | b'1/26\n' | b'Four letters picked without replacement from qsqtqqsqstqsssq. What is prob of sequence qsqs?\n' | b'1/26\n' | deepmind/math_dataset |
b'Simplify (m*m*m**(-4)*m**(-2/17)/m)/(((m**4/m)/m)/m**(3/4))*m*m/(m*m/(m/m**(1/8))*m)*m*m*m**(3/4)*(m*m*m**(-2/7)*m*m)/(m*m/m**7) assuming m is positive.\n' | b'm**(6637/952)\n' | b'Simplify (m*m*m**(-4)*m**(-2/17)/m)/(((m**4/m)/m)/m**(3/4))*m*m/(m*m/(m/m**(1/8))*m)*m*m*m**(3/4)*(m*m*m**(-2/7)*m*m)/(m*m/m**7) assuming m is positive.\n' | b'm**(6637/952)\n' | deepmind/math_dataset |
b'What is prob of sequence kfkk when four letters picked without replacement from {f: 9, k: 7}?\n' | b'9/208\n' | b'What is prob of sequence kfkk when four letters picked without replacement from {f: 9, k: 7}?\n' | b'9/208\n' | deepmind/math_dataset |
b'Let h be 2/((-2)/(-7)*105/165). Suppose -h*f - 19 = 14. Let c(m) = -5*m - 3. What is c(f)?\n' | b'12\n' | b'Let h be 2/((-2)/(-7)*105/165). Suppose -h*f - 19 = 14. Let c(m) = -5*m - 3. What is c(f)?\n' | b'12\n' | deepmind/math_dataset |
b'Suppose 7*k + 3578 = -2148. Let l = -813 - k. Solve -40 = -5*v - 2*w + l*w, 4*w = -20 for v.\n' | b'5\n' | b'Suppose 7*k + 3578 = -2148. Let l = -813 - k. Solve -40 = -5*v - 2*w + l*w, 4*w = -20 for v.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 a when two letters picked without replacement from arrivir?\n' | b'2/21\n' | b'What is prob of picking 1 i and 1 a when two letters picked without replacement from arrivir?\n' | b'2/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nueunnn. What is prob of picking 2 n and 1 e?\n' | b'6/35\n' | b'Three letters picked without replacement from nueunnn. What is prob of picking 2 n and 1 e?\n' | b'6/35\n' | deepmind/math_dataset |
b'Simplify (g**(-8)*g**6*g)/((g/(g/(g/(g/(g*g**(-2)*g)))*g)*g*g)/g)**(-42) assuming g is positive.\n' | b'1/g\n' | b'Simplify (g**(-8)*g**6*g)/((g/(g/(g/(g/(g*g**(-2)*g)))*g)*g*g)/g)**(-42) assuming g is positive.\n' | b'1/g\n' | deepmind/math_dataset |
b'What is prob of picking 2 n and 1 v when three letters picked without replacement from {u: 5, n: 3, v: 2, m: 5}?\n' | b'6/455\n' | b'What is prob of picking 2 n and 1 v when three letters picked without replacement from {u: 5, n: 3, v: 2, m: 5}?\n' | b'6/455\n' | deepmind/math_dataset |
b'Suppose -v - 9 = -4*a, -15 = -4*a + 3*v - 4*v. Suppose 5 = -5*h + 5*s + 20, 6 = a*s. Solve h = j + c, -3*j = j + 5*c - 24 for j.\n' | b'1\n' | b'Suppose -v - 9 = -4*a, -15 = -4*a + 3*v - 4*v. Suppose 5 = -5*h + 5*s + 20, 6 = a*s. Solve h = j + c, -3*j = j + 5*c - 24 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Let x(n) = 5*n - 25. Let c be x(6). Suppose 25 = -c*b, 4 + 1 = 2*y - b. Solve -2*m - 5*f + 20 + 6 = y, -3*m + 29 = 5*f for m.\n' | b'3\n' | b'Let x(n) = 5*n - 25. Let c be x(6). Suppose 25 = -c*b, 4 + 1 = 2*y - b. Solve -2*m - 5*f + 20 + 6 = y, -3*m + 29 = 5*f for m.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 2, t: 7, e: 3, x: 1, m: 3, n: 1}. What is prob of picking 1 i, 1 t, 1 x, and 1 e?\n' | b'3/170\n' | b'Four letters picked without replacement from {i: 2, t: 7, e: 3, x: 1, m: 3, n: 1}. What is prob of picking 1 i, 1 t, 1 x, and 1 e?\n' | b'3/170\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, k: 5, f: 3}. Give prob of picking 1 k and 1 f.\n' | b'3/11\n' | b'Two letters picked without replacement from {d: 3, k: 5, f: 3}. Give prob of picking 1 k and 1 f.\n' | b'3/11\n' | deepmind/math_dataset |
b'Let y = -2 + 5. Suppose -y*c + 4 = -c. Let i(r) = -r**3 + 2*r - 1. What is i(c)?\n' | b'-5\n' | b'Let y = -2 + 5. Suppose -y*c + 4 = -c. Let i(r) = -r**3 + 2*r - 1. What is i(c)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let g(b) = -65*b - 320. Let v be g(-5). Solve 5*l - 2*p + 18 = -0*l, 4*p = v*l + 26 for l.\n' | b'-2\n' | b'Let g(b) = -65*b - 320. Let v be g(-5). Solve 5*l - 2*p + 18 = -0*l, 4*p = v*l + 26 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ezrezzrfze. What is prob of sequence zr?\n' | b'4/45\n' | b'Two letters picked without replacement from ezrezzrfze. What is prob of sequence zr?\n' | b'4/45\n' | deepmind/math_dataset |
b'Simplify (((z*z**(-2/15)*z/z**(4/3))/(z**2*z*z**0/z*z))**37)**(3/7) assuming z is positive.\n' | b'z**(-1369/35)\n' | b'Simplify (((z*z**(-2/15)*z/z**(4/3))/(z**2*z*z**0/z*z))**37)**(3/7) assuming z is positive.\n' | b'z**(-1369/35)\n' | deepmind/math_dataset |
b'Simplify u**(-7)/u**(20/11) assuming u is positive.\n' | b'u**(-97/11)\n' | b'Simplify u**(-7)/u**(20/11) assuming u is positive.\n' | b'u**(-97/11)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 5, s: 1, e: 3, c: 4}. Give prob of picking 2 c.\n' | b'1/13\n' | b'Two letters picked without replacement from {d: 5, s: 1, e: 3, c: 4}. Give prob of picking 2 c.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let f(a) = -a**3 + a - 4. Let s = 626 - 626. Determine f(s).\n' | b'-4\n' | b'Let f(a) = -a**3 + a - 4. Let s = 626 - 626. Determine f(s).\n' | b'-4\n' | deepmind/math_dataset |
b'Let j = 821 - 804. Solve 5*v + j = v - 3*i, 5*i + 19 = -2*v for v.\n' | b'-2\n' | b'Let j = 821 - 804. Solve 5*v + j = v - 3*i, 5*i + 19 = -2*v for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let w(k) be the second derivative of -12*k**5 - 889*k**2/2 - 3*k + 86. What is the derivative of w(u) wrt u?\n' | b'-720*u**2\n' | b'Let w(k) be the second derivative of -12*k**5 - 889*k**2/2 - 3*k + 86. What is the derivative of w(u) wrt u?\n' | b'-720*u**2\n' | deepmind/math_dataset |
b'Suppose 41*b = 40*b + 36. Differentiate 16*j**4 + b - 225*j + 225*j + 4*j**4 wrt j.\n' | b'80*j**3\n' | b'Suppose 41*b = 40*b + 36. Differentiate 16*j**4 + b - 225*j + 225*j + 4*j**4 wrt j.\n' | b'80*j**3\n' | deepmind/math_dataset |
b'Let l(y) be the second derivative of -5/2*y**2 + 1/120*y**6 + 0 - 1/20*y**5 - 1/6*y**4 + 3*y + 1/6*y**3. Let w(m) be the first derivative of l(m). Give w(4).\n' | b'1\n' | b'Let l(y) be the second derivative of -5/2*y**2 + 1/120*y**6 + 0 - 1/20*y**5 - 1/6*y**4 + 3*y + 1/6*y**3. Let w(m) be the first derivative of l(m). Give w(4).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((u*u*u**(-6))/u**5)/(u**6/u**3) assuming u is positive.\n' | b'u**(-12)\n' | b'Simplify ((u*u*u**(-6))/u**5)/(u**6/u**3) assuming u is positive.\n' | b'u**(-12)\n' | deepmind/math_dataset |
b'Let g = 150 + -154. Let v(s) = -s**3 - 3*s**2 + 9*s + 11. Determine v(g).\n' | b'-9\n' | b'Let g = 150 + -154. Let v(s) = -s**3 - 3*s**2 + 9*s + 11. Determine v(g).\n' | b'-9\n' | deepmind/math_dataset |
b'Let i(k) = -k**2 + 2*k - 4. Suppose -b + 0*b = 5*m - 13, -m = -5*b - 13. Let x be (1 + m)*(-3)/4. Let l be 4 + x/3*1. Determine i(l).\n' | b'-7\n' | b'Let i(k) = -k**2 + 2*k - 4. Suppose -b + 0*b = 5*m - 13, -m = -5*b - 13. Let x be (1 + m)*(-3)/4. Let l be 4 + x/3*1. Determine i(l).\n' | b'-7\n' | deepmind/math_dataset |
b'Let l(r) = -11*r - 26. Let b be (-68)/51 + 16/(-6). Let k be l(b). What is the third derivative of k - 34 - 2*m**4 + 48*m**2 - 13*m**3 + 18 wrt m?\n' | b'-48*m - 78\n' | b'Let l(r) = -11*r - 26. Let b be (-68)/51 + 16/(-6). Let k be l(b). What is the third derivative of k - 34 - 2*m**4 + 48*m**2 - 13*m**3 + 18 wrt m?\n' | b'-48*m - 78\n' | deepmind/math_dataset |
b'Let s = -191 + 181. Let z(n) = 3*n**2 - 23*n + 12. Let m(o) = 5*o**2 - 35*o + 18. Suppose 15 = 2*r - 1. Let p(j) = r*z(j) - 5*m(j). Give p(s).\n' | b'-4\n' | b'Let s = -191 + 181. Let z(n) = 3*n**2 - 23*n + 12. Let m(o) = 5*o**2 - 35*o + 18. Suppose 15 = 2*r - 1. Let p(j) = r*z(j) - 5*m(j). Give p(s).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((p*p**(-2/3)*p)/p*p**(-2))**(1/80))**(-3/7) assuming p is positive.\n' | b'p**(1/112)\n' | b'Simplify (((p*p**(-2/3)*p)/p*p**(-2))**(1/80))**(-3/7) assuming p is positive.\n' | b'p**(1/112)\n' | deepmind/math_dataset |
b'Suppose -154 = -4*a - 5*g, -5*g - 9 - 1 = 0. Let n = a + -11. Solve 3*v - v = -5*r - n, 3*v = 4*r + 1 for r.\n' | b'-4\n' | b'Suppose -154 = -4*a - 5*g, -5*g - 9 - 1 = 0. Let n = a + -11. Solve 3*v - v = -5*r - n, 3*v = 4*r + 1 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w be 7/2*(-40)/350*-20. Solve -4*u + 3*g - 10 = 2, 5*u - w = -2*g for u.\n' | b'0\n' | b'Let w be 7/2*(-40)/350*-20. Solve -4*u + 3*g - 10 = 2, 5*u - w = -2*g for u.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 5, t: 7}. Give prob of sequence etet.\n' | b'7/99\n' | b'Four letters picked without replacement from {e: 5, t: 7}. Give prob of sequence etet.\n' | b'7/99\n' | deepmind/math_dataset |
b'Simplify ((g**(1/7)/g)/(g/(g/(g**2/g))))**(-13) assuming g is positive.\n' | b'g**(169/7)\n' | b'Simplify ((g**(1/7)/g)/(g/(g/(g**2/g))))**(-13) assuming g is positive.\n' | b'g**(169/7)\n' | deepmind/math_dataset |
b'Let u = 29 - 48. Let i(g) = -9*g - 19. Let k be i(-5). Let m = u + k. Let p(s) = -s**2 + 9*s + 5. Calculate p(m).\n' | b'19\n' | b'Let u = 29 - 48. Let i(g) = -9*g - 19. Let k be i(-5). Let m = u + k. Let p(s) = -s**2 + 9*s + 5. Calculate p(m).\n' | b'19\n' | deepmind/math_dataset |
b'Simplify (p*(p**1/p)/p)/p**2*p**0*p**(-2/25) assuming p is positive.\n' | b'p**(-52/25)\n' | b'Simplify (p*(p**1/p)/p)/p**2*p**0*p**(-2/25) assuming p is positive.\n' | b'p**(-52/25)\n' | deepmind/math_dataset |
b'Simplify (r**(-5/9)*r*r**(2/11))**(-8) assuming r is positive.\n' | b'r**(-496/99)\n' | b'Simplify (r**(-5/9)*r*r**(2/11))**(-8) assuming r is positive.\n' | b'r**(-496/99)\n' | deepmind/math_dataset |
b'Simplify (s**(17/3)/s)/(s/s**(1/30)) assuming s is positive.\n' | b's**(37/10)\n' | b'Simplify (s**(17/3)/s)/(s/s**(1/30)) assuming s is positive.\n' | b's**(37/10)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 e when two letters picked without replacement from {s: 4, p: 3, j: 1, e: 5}?\n' | b'10/39\n' | b'What is prob of picking 1 s and 1 e when two letters picked without replacement from {s: 4, p: 3, j: 1, e: 5}?\n' | b'10/39\n' | deepmind/math_dataset |
b'Find the third derivative of -20*w**2 + 31*w**5 - 31*w**5 - 23*w**6 wrt w.\n' | b'-2760*w**3\n' | b'Find the third derivative of -20*w**2 + 31*w**5 - 31*w**5 - 23*w**6 wrt w.\n' | b'-2760*w**3\n' | deepmind/math_dataset |
b'Let k be ((-19)/(38/12))/(-1). Let a(r) = 3*r**2 - 9*r - 28. Let t(n) = -n**2 + 3*n + 9. Let j(o) = 2*a(o) + 7*t(o). Calculate j(k).\n' | b'-11\n' | b'Let k be ((-19)/(38/12))/(-1). Let a(r) = 3*r**2 - 9*r - 28. Let t(n) = -n**2 + 3*n + 9. Let j(o) = 2*a(o) + 7*t(o). Calculate j(k).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (r**(-2/35)*r**3)/(r/r**(2/7))**(-1/11) assuming r is positive.\n' | b'r**(1158/385)\n' | b'Simplify (r**(-2/35)*r**3)/(r/r**(2/7))**(-1/11) assuming r is positive.\n' | b'r**(1158/385)\n' | deepmind/math_dataset |
b'Let i(s) be the first derivative of -s**5/120 + s**4/24 - s**3 - 11. Let y(r) be the third derivative of i(r). What is y(2)?\n' | b'-1\n' | b'Let i(s) be the first derivative of -s**5/120 + s**4/24 - s**3 - 11. Let y(r) be the third derivative of i(r). What is y(2)?\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence bhh when three letters picked without replacement from {b: 2, k: 1, s: 3, h: 1}.\n' | b'0\n' | b'Calculate prob of sequence bhh when three letters picked without replacement from {b: 2, k: 1, s: 3, h: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (f*f*(f/f**(1/5))/f)**(8/15)*(f/(f*f/f**(-2)*f))/(f**(1/5)*f) assuming f is positive.\n' | b'f**(-106/25)\n' | b'Simplify (f*f*(f/f**(1/5))/f)**(8/15)*(f/(f*f/f**(-2)*f))/(f**(1/5)*f) assuming f is positive.\n' | b'f**(-106/25)\n' | deepmind/math_dataset |
b'Calculate prob of sequence isvd when four letters picked without replacement from svqsssqissdidvsddsvd.\n' | b'2/969\n' | b'Calculate prob of sequence isvd when four letters picked without replacement from svqsssqissdidvsddsvd.\n' | b'2/969\n' | deepmind/math_dataset |
b'Suppose 5*x - 12 = 3. Suppose -3*g + 60 = 2*k + 18, 0 = -4*g + x*k + 73. Let p be (-1)/((-4)/g*1). Solve p*a = -j + 2*a - 2, -j - 8 = 4*a for j.\n' | b'4\n' | b'Suppose 5*x - 12 = 3. Suppose -3*g + 60 = 2*k + 18, 0 = -4*g + x*k + 73. Let p be (-1)/((-4)/g*1). Solve p*a = -j + 2*a - 2, -j - 8 = 4*a for j.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((b**(2/5))**(-44)/(b/(b**(2/15)/b)*b**(-5)))**(8/7))**1 assuming b is positive.\n' | b'b**(-248/15)\n' | b'Simplify (((b**(2/5))**(-44)/(b/(b**(2/15)/b)*b**(-5)))**(8/7))**1 assuming b is positive.\n' | b'b**(-248/15)\n' | deepmind/math_dataset |
b'Let v = -27 + 90. Differentiate 46 - v + 2*o**4 + 28 with respect to o.\n' | b'8*o**3\n' | b'Let v = -27 + 90. Differentiate 46 - v + 2*o**4 + 28 with respect to o.\n' | b'8*o**3\n' | deepmind/math_dataset |
b'What is the second derivative of 6*u**4 - 6*u**4 + 6*u + 3*u**4 wrt u?\n' | b'36*u**2\n' | b'What is the second derivative of 6*u**4 - 6*u**4 + 6*u + 3*u**4 wrt u?\n' | b'36*u**2\n' | deepmind/math_dataset |
b'Simplify c**(-1/2)/(c**(4/9)*c) assuming c is positive.\n' | b'c**(-35/18)\n' | b'Simplify c**(-1/2)/(c**(4/9)*c) assuming c is positive.\n' | b'c**(-35/18)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 5, y: 4, z: 2}. Give prob of picking 1 y and 1 z.\n' | b'8/55\n' | b'Two letters picked without replacement from {p: 5, y: 4, z: 2}. Give prob of picking 1 y and 1 z.\n' | b'8/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 10, a: 2}.\n' | b'15/22\n' | b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 10, a: 2}.\n' | b'15/22\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wgxsxg. Give prob of sequence gxxw.\n' | b'1/90\n' | b'Four letters picked without replacement from wgxsxg. Give prob of sequence gxxw.\n' | b'1/90\n' | deepmind/math_dataset |
b'Calculate prob of sequence xxn when three letters picked without replacement from {x: 6, n: 13}.\n' | b'65/969\n' | b'Calculate prob of sequence xxn when three letters picked without replacement from {x: 6, n: 13}.\n' | b'65/969\n' | deepmind/math_dataset |
b'Let z be 2 + 11 - 12/(-3). Solve -5 = 2*m - m - h, -z = 4*m - h for m.\n' | b'-4\n' | b'Let z be 2 + 11 - 12/(-3). Solve -5 = 2*m - m - h, -z = 4*m - h for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iiiififiiif. Give prob of sequence iiff.\n' | b'7/165\n' | b'Four letters picked without replacement from iiiififiiif. Give prob of sequence iiff.\n' | b'7/165\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kuue. Give prob of picking 1 k, 1 u, and 1 e.\n' | b'1/2\n' | b'Three letters picked without replacement from kuue. Give prob of picking 1 k, 1 u, and 1 e.\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose o - 1 = 2. Suppose -o*h + s = 0, -h - 2*s = -0*s. Let p(x) = x + 2. Let r(k) = 4*k + 9. Let q(y) = -9*p(y) + 2*r(y). Calculate q(h).\n' | b'0\n' | b'Suppose o - 1 = 2. Suppose -o*h + s = 0, -h - 2*s = -0*s. Let p(x) = x + 2. Let r(k) = 4*k + 9. Let q(y) = -9*p(y) + 2*r(y). Calculate q(h).\n' | b'0\n' | deepmind/math_dataset |
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