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'Simplify ((n**(-8/7)/n)/n*n*(n*((n/(n*n**(-2/15)))/n*n)/n*n)/n)**(-48) assuming n is positive.\n' | b'n**(3376/35)\n' | b'Simplify ((n**(-8/7)/n)/n*n*(n*((n/(n*n**(-2/15)))/n*n)/n*n)/n)**(-48) assuming n is positive.\n' | b'n**(3376/35)\n' | deepmind/math_dataset |
b'Simplify ((n**26*n*n**38)/((n/(n**(1/53)/n))/(n/((n*n/n**(8/7))/n))))**(-4/11) assuming n is positive.\n' | b'n**(-8656/371)\n' | b'Simplify ((n**26*n*n**38)/((n/(n**(1/53)/n))/(n/((n*n/n**(8/7))/n))))**(-4/11) assuming n is positive.\n' | b'n**(-8656/371)\n' | deepmind/math_dataset |
b'Simplify (b**(-7)/b**(-3/4))/(b**(1/2))**(-26) assuming b is positive.\n' | b'b**(27/4)\n' | b'Simplify (b**(-7)/b**(-3/4))/(b**(1/2))**(-26) assuming b is positive.\n' | b'b**(27/4)\n' | deepmind/math_dataset |
b'Let r(q) = 0 + 3 + 2*q + 0. Suppose 1 + 4 = -5*a. Let c be 1/(-2)*(-6)/a. What is r(c)?\n' | b'-3\n' | b'Let r(q) = 0 + 3 + 2*q + 0. Suppose 1 + 4 = -5*a. Let c be 1/(-2)*(-6)/a. What is r(c)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let c(b) be the second derivative of b**9/2520 - b**6/720 + 5*b**4/12 + 7*b. Let m(h) be the third derivative of c(h). Find the second derivative of m(g) wrt g.\n' | b'72*g**2\n' | b'Let c(b) be the second derivative of b**9/2520 - b**6/720 + 5*b**4/12 + 7*b. Let m(h) be the third derivative of c(h). Find the second derivative of m(g) wrt g.\n' | b'72*g**2\n' | deepmind/math_dataset |
b'Simplify (b**(10/7)*b**(-21)/b*(b*b/(b**(3/13)*b))/b**(-21))**(-6) assuming b is positive.\n' | b'b**(-654/91)\n' | b'Simplify (b**(10/7)*b**(-21)/b*(b*b/(b**(3/13)*b))/b**(-21))**(-6) assuming b is positive.\n' | b'b**(-654/91)\n' | deepmind/math_dataset |
b'Let k(o) = o**2 - 10*o + 9. Let b(t) = t**3 - 14*t**2 + 14*t - 5. Let x be b(13). What is k(x)?\n' | b'-7\n' | b'Let k(o) = o**2 - 10*o + 9. Let b(t) = t**3 - 14*t**2 + 14*t - 5. Let x be b(13). What is k(x)?\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -30 = -3*s - 24. Solve 5*m = -5*g + 10 - 0, -s*g = -m + 2 for g.\n' | b'0\n' | b'Suppose -30 = -3*s - 24. Solve 5*m = -5*g + 10 - 0, -s*g = -m + 2 for g.\n' | b'0\n' | deepmind/math_dataset |
b'Let y(u) = 29*u + 242. Let p be y(-8). Solve -2*a + 4*v - 15 + 13 = 0, -2*a - 4*v = p for a.\n' | b'-3\n' | b'Let y(u) = 29*u + 242. Let p be y(-8). Solve -2*a + 4*v - 15 + 13 = 0, -2*a - 4*v = p for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(o) = 5*o - 83. Let j be l(17). Solve 2*g = -2*t + 18, -j*g - 2*t + 23 = g for g.\n' | b'5\n' | b'Let l(o) = 5*o - 83. Let j be l(17). Solve 2*g = -2*t + 18, -j*g - 2*t + 23 = g for g.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -351 = 20*k - 107*k - 30*k. Let p(x) = -x**2 + 9*x - 6. Give p(k).\n' | b'12\n' | b'Suppose -351 = 20*k - 107*k - 30*k. Let p(x) = -x**2 + 9*x - 6. Give p(k).\n' | b'12\n' | deepmind/math_dataset |
b'Let s(m) = m**2 + 2*m + m - 5*m - 1. Let w be s(3). Let o(l) = 2 - 7*l**2 + 3*l**2 + 3*l**2. Give o(w).\n' | b'-2\n' | b'Let s(m) = m**2 + 2*m + m - 5*m - 1. Let w be s(3). Let o(l) = 2 - 7*l**2 + 3*l**2 + 3*l**2. Give o(w).\n' | b'-2\n' | deepmind/math_dataset |
b'Let q(y) = -y. Let g = 165 - 75. Suppose 0 = 12*r + g - 330. Let c be 2/6 + -3 + r/(-15). Give q(c).\n' | b'4\n' | b'Let q(y) = -y. Let g = 165 - 75. Suppose 0 = 12*r + g - 330. Let c be 2/6 + -3 + r/(-15). Give q(c).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -j - 3*x - 2 + 3 = 0, -j + 3 = x. Let n be j/(-18) + 4*39/(-27). Let i(w) = -2*w - 4. Give i(n).\n' | b'8\n' | b'Suppose -j - 3*x - 2 + 3 = 0, -j + 3 = x. Let n be j/(-18) + 4*39/(-27). Let i(w) = -2*w - 4. Give i(n).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {i: 1, r: 11, g: 3}.\n' | b'33/455\n' | b'Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {i: 1, r: 11, g: 3}.\n' | b'33/455\n' | deepmind/math_dataset |
b'Let m(g) be the third derivative of 26*g**2 + 5/24*g**4 - 1/3*g**3 + 0*g + 1/60*g**5 + 0. Give m(-4).\n' | b'-6\n' | b'Let m(g) be the third derivative of 26*g**2 + 5/24*g**4 - 1/3*g**3 + 0*g + 1/60*g**5 + 0. Give m(-4).\n' | b'-6\n' | deepmind/math_dataset |
b'Let c(y) = 5*y**2 - 6*y**2 - 2 - 2*y + 7*y. Let f be c(4). Let z = 1 + f. Solve 2 = l + 2*a - 1, -l = -z*a - 8 for l.\n' | b'5\n' | b'Let c(y) = 5*y**2 - 6*y**2 - 2 - 2*y + 7*y. Let f be c(4). Let z = 1 + f. Solve 2 = l + 2*a - 1, -l = -z*a - 8 for l.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence qr when two letters picked without replacement from wxrqxmxxmarm?\n' | b'1/66\n' | b'What is prob of sequence qr when two letters picked without replacement from wxrqxmxxmarm?\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose -2*o + 1 = -3. Let c(x) = -1 - 20*x**2 + o*x + x**3 - 2*x - 2*x + 19*x**2. Give c(2).\n' | b'-1\n' | b'Suppose -2*o + 1 = -3. Let c(x) = -1 - 20*x**2 + o*x + x**3 - 2*x - 2*x + 19*x**2. Give c(2).\n' | b'-1\n' | deepmind/math_dataset |
b'Let w = 12 + -17. Let h(x) = x**2 + 5*x + 4. Let n be h(w). Let c = 1502399 + -1502396. Solve 0 = -n*u + f + 8, -c = -3*u - f + 3 for u.\n' | b'2\n' | b'Let w = 12 + -17. Let h(x) = x**2 + 5*x + 4. Let n be h(w). Let c = 1502399 + -1502396. Solve 0 = -n*u + f + 8, -c = -3*u - f + 3 for u.\n' | b'2\n' | deepmind/math_dataset |
b'Let c = -1 + 1. Suppose -44 = 2*q - 48. Let u = 21 - 15. Solve c = -4*g + 3*r, -u*r - 14 = -q*g - r for g.\n' | b'-3\n' | b'Let c = -1 + 1. Suppose -44 = 2*q - 48. Let u = 21 - 15. Solve c = -4*g + 3*r, -u*r - 14 = -q*g - r for g.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from {x: 3, e: 4}?\n' | b'2/7\n' | b'What is prob of sequence ee when two letters picked without replacement from {x: 3, e: 4}?\n' | b'2/7\n' | deepmind/math_dataset |
b'Let c = -56 + 89. What is the third derivative of -c*i**2 - 34*i**6 + 19821 - 19821 wrt i?\n' | b'-4080*i**3\n' | b'Let c = -56 + 89. What is the third derivative of -c*i**2 - 34*i**6 + 19821 - 19821 wrt i?\n' | b'-4080*i**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence os when two letters picked without replacement from hslohlhvhv.\n' | b'1/90\n' | b'Calculate prob of sequence os when two letters picked without replacement from hslohlhvhv.\n' | b'1/90\n' | deepmind/math_dataset |
b'Let n(b) = b**3 + 12*b**2 - b - 6. Let f be n(-12). Let c(p) = -p**3 + 6*p**2 - 2*p + 6. Calculate c(f).\n' | b'-6\n' | b'Let n(b) = b**3 + 12*b**2 - b - 6. Let f be n(-12). Let c(p) = -p**3 + 6*p**2 - 2*p + 6. Calculate c(f).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwnnncnnncxvnnccnn. What is prob of sequence cn?\n' | b'20/153\n' | b'Two letters picked without replacement from wwnnncnnncxvnnccnn. What is prob of sequence cn?\n' | b'20/153\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from mffxmmmmmmxfxx?\n' | b'6/91\n' | b'What is prob of picking 2 x when two letters picked without replacement from mffxmmmmmmxfxx?\n' | b'6/91\n' | deepmind/math_dataset |
b'Differentiate 13725*f**2 - 13725*f**2 + 6 + 67*f**3 wrt f.\n' | b'201*f**2\n' | b'Differentiate 13725*f**2 - 13725*f**2 + 6 + 67*f**3 wrt f.\n' | b'201*f**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ugrggrrurg. What is prob of picking 4 r?\n' | b'1/210\n' | b'Four letters picked without replacement from ugrggrrurg. What is prob of picking 4 r?\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify ((w/(((w*w**(-2)*w)/w)/w*w*w)*w*w)**(1/9)/((w**(-8/5)/w)/w**5))**19 assuming w is positive.\n' | b'w**(2261/15)\n' | b'Simplify ((w/(((w*w**(-2)*w)/w)/w*w*w)*w*w)**(1/9)/((w**(-8/5)/w)/w**5))**19 assuming w is positive.\n' | b'w**(2261/15)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fsfsfssssss. Give prob of picking 3 s.\n' | b'56/165\n' | b'Three letters picked without replacement from fsfsfssssss. Give prob of picking 3 s.\n' | b'56/165\n' | deepmind/math_dataset |
b'Let z = 161 - 158. Let s(x) = 7*x - 1 - 9*x - x**z - x**2 - 4*x**3. What is s(-1)?\n' | b'5\n' | b'Let z = 161 - 158. Let s(x) = 7*x - 1 - 9*x - x**z - x**2 - 4*x**3. What is s(-1)?\n' | b'5\n' | deepmind/math_dataset |
b'Let j(m) = -2*m**3 - 26*m**2 + 2. Let i be j(-13). Suppose 4*o - 10 = -i. Solve o*f - 2 = -3*n, -n + f + 2*f = 14 for n.\n' | b'-2\n' | b'Let j(m) = -2*m**3 - 26*m**2 + 2. Let i be j(-13). Suppose 4*o - 10 = -i. Solve o*f - 2 = -3*n, -n + f + 2*f = 14 for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence rggr when four letters picked without replacement from {r: 5, g: 3}.\n' | b'1/14\n' | b'Calculate prob of sequence rggr when four letters picked without replacement from {r: 5, g: 3}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let i(w) = 3*w. Let d be i(-1). Let p = d + 4. Suppose 4*z - 2 = j, 3*j - p = z + 4. Solve 2*a - 2*r - 2 = 0, -3*r - 5 = -j for a.\n' | b'0\n' | b'Let i(w) = 3*w. Let d be i(-1). Let p = d + 4. Suppose 4*z - 2 = j, 3*j - p = z + 4. Solve 2*a - 2*r - 2 = 0, -3*r - 5 = -j for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let x = 22 + -19. Suppose 3*o = 2*h + 4, -3*h = -4*o + 3 + 3. Let c be h*-1*(-1 - -2). Solve a + 3*p - 14 = 0, -2*a + 9 = c*p - x for a.\n' | b'2\n' | b'Let x = 22 + -19. Suppose 3*o = 2*h + 4, -3*h = -4*o + 3 + 3. Let c be h*-1*(-1 - -2). Solve a + 3*p - 14 = 0, -2*a + 9 = c*p - x for a.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence lf when two letters picked without replacement from llflfl?\n' | b'4/15\n' | b'What is prob of sequence lf when two letters picked without replacement from llflfl?\n' | b'4/15\n' | deepmind/math_dataset |
b'Simplify ((((y*(y/y**(-1/4))/y*y)/y)/y)**(3/29))**(4/5) assuming y is positive.\n' | b'y**(3/145)\n' | b'Simplify ((((y*(y/y**(-1/4))/y*y)/y)/y)**(3/29))**(4/5) assuming y is positive.\n' | b'y**(3/145)\n' | deepmind/math_dataset |
b'Let q = 26947 - 134724/5. Let u(x) be the first derivative of 0*x**4 + 0*x**3 + q*x**5 + 25 + 0*x**2 - 40*x. What is the first derivative of u(y) wrt y?\n' | b'44*y**3\n' | b'Let q = 26947 - 134724/5. Let u(x) be the first derivative of 0*x**4 + 0*x**3 + q*x**5 + 25 + 0*x**2 - 40*x. What is the first derivative of u(y) wrt y?\n' | b'44*y**3\n' | deepmind/math_dataset |
b'Let u(r) = r**2 + 5*r + 3. Let p = -11 - -13. Let y be (p/(-6))/(13/195). Let l be u(y). Solve -l*m - 3*b + 2*b - 10 = 0, 3*b + 18 = -3*m for m.\n' | b'-2\n' | b'Let u(r) = r**2 + 5*r + 3. Let p = -11 - -13. Let y be (p/(-6))/(13/195). Let l be u(y). Solve -l*m - 3*b + 2*b - 10 = 0, 3*b + 18 = -3*m for m.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(b) = -3*b**2 - 4*b - 1 - 2*b**3 + 0*b**3 + 3*b + b + 3*b. What is h(1)?\n' | b'-3\n' | b'Let h(b) = -3*b**2 - 4*b - 1 - 2*b**3 + 0*b**3 + 3*b + b + 3*b. What is h(1)?\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 1 a, and 2 r when four letters picked without replacement from eueaesuerueuaurareaa.\n' | b'5/323\n' | b'Calculate prob of picking 1 u, 1 a, and 2 r when four letters picked without replacement from eueaesuerueuaurareaa.\n' | b'5/323\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {s: 2, k: 5}.\n' | b'4/7\n' | b'Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {s: 2, k: 5}.\n' | b'4/7\n' | deepmind/math_dataset |
b'Let q(d) = d - 4. Let g be q(0). Let i(o) = o**3 + 4*o**2 - 2*o - 6. Let n be i(g). Differentiate -2*s + 2*s**2 + n + 2*s wrt s.\n' | b'4*s\n' | b'Let q(d) = d - 4. Let g be q(0). Let i(o) = o**3 + 4*o**2 - 2*o - 6. Let n be i(g). Differentiate -2*s + 2*s**2 + n + 2*s wrt s.\n' | b'4*s\n' | deepmind/math_dataset |
b'Let g(s) = -6*s + 2 + 4 - 4 + 4*s**3 + 7*s**2. Let n(y) = -9*y**3 - 15*y**2 + 13*y - 3. Let h(i) = -7*g(i) - 3*n(i). Let a = -18 + 13. Calculate h(a).\n' | b'5\n' | b'Let g(s) = -6*s + 2 + 4 - 4 + 4*s**3 + 7*s**2. Let n(y) = -9*y**3 - 15*y**2 + 13*y - 3. Let h(i) = -7*g(i) - 3*n(i). Let a = -18 + 13. Calculate h(a).\n' | b'5\n' | deepmind/math_dataset |
b'Let o = -106 + 111. Suppose 0 = v + c + 1 - 3, -1 = 2*v - 3*c. Solve -2*r = 3*r + n + o, r + v = 3*n for r.\n' | b'-1\n' | b'Let o = -106 + 111. Suppose 0 = v + c + 1 - 3, -1 = 2*v - 3*c. Solve -2*r = 3*r + n + o, r + v = 3*n for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence zzq when three letters picked without replacement from {z: 2, d: 4, q: 5}.\n' | b'1/99\n' | b'Calculate prob of sequence zzq when three letters picked without replacement from {z: 2, d: 4, q: 5}.\n' | b'1/99\n' | deepmind/math_dataset |
b'Suppose 5*u = 0, -4*j + 0*j - 2*u - 20 = 0. Let a(l) = 150 + l**2 + 5*l - 150. Calculate a(j).\n' | b'0\n' | b'Suppose 5*u = 0, -4*j + 0*j - 2*u - 20 = 0. Let a(l) = 150 + l**2 + 5*l - 150. Calculate a(j).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 8, k: 2}. Give prob of sequence kk.\n' | b'1/45\n' | b'Two letters picked without replacement from {c: 8, k: 2}. Give prob of sequence kk.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let f(d) = -4*d - 1. Let a be f(-1). Solve 3*q = -a*h + 3, q - h + 1 = 4 for q.\n' | b'2\n' | b'Let f(d) = -4*d - 1. Let a be f(-1). Solve 3*q = -a*h + 3, q - h + 1 = 4 for q.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((l**(-1)/l*l)/l*l)/l*l**(-12/7))/(l**(-8)/(l**7*l)) assuming l is positive.\n' | b'l**(86/7)\n' | b'Simplify (((l**(-1)/l*l)/l*l)/l*l**(-12/7))/(l**(-8)/(l**7*l)) assuming l is positive.\n' | b'l**(86/7)\n' | deepmind/math_dataset |
b'Let f(i) = -3807*i**2 - 6747*i - 15. Let z(j) = -1903*j**2 - 3372*j - 6. Let q(k) = 2*f(k) - 5*z(k). Find the second derivative of q(d) wrt d.\n' | b'3802\n' | b'Let f(i) = -3807*i**2 - 6747*i - 15. Let z(j) = -1903*j**2 - 3372*j - 6. Let q(k) = 2*f(k) - 5*z(k). Find the second derivative of q(d) wrt d.\n' | b'3802\n' | deepmind/math_dataset |
b'Differentiate -29*y**2 - 28*y**2 + 183639 - 182203 - y wrt y.\n' | b'-114*y - 1\n' | b'Differentiate -29*y**2 - 28*y**2 + 183639 - 182203 - y wrt y.\n' | b'-114*y - 1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, v: 12}. Give prob of sequence vj.\n' | b'1/13\n' | b'Two letters picked without replacement from {j: 1, v: 12}. Give prob of sequence vj.\n' | b'1/13\n' | deepmind/math_dataset |
b'What is prob of picking 2 b and 1 a when three letters picked without replacement from bcbcbccccbcbbbbbacb?\n' | b'15/323\n' | b'What is prob of picking 2 b and 1 a when three letters picked without replacement from bcbcbccccbcbbbbbacb?\n' | b'15/323\n' | deepmind/math_dataset |
b'Let j(v) = 4*v**2 + v. Let r be j(-1). Let b be (-2)/r + (-44)/(-12). Suppose -52 = -b*m - 4. Solve t + 2*i = -i + m, -5*t + 3*i + 8 = 0 for t.\n' | b'4\n' | b'Let j(v) = 4*v**2 + v. Let r be j(-1). Let b be (-2)/r + (-44)/(-12). Suppose -52 = -b*m - 4. Solve t + 2*i = -i + m, -5*t + 3*i + 8 = 0 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, p: 3}.\n' | b'1/10\n' | b'Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, p: 3}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Find the second derivative of -4086*g**3 + 2*g**4 + 18*g + 13 + 8141*g**3 - 4095*g**3 wrt g.\n' | b'24*g**2 - 240*g\n' | b'Find the second derivative of -4086*g**3 + 2*g**4 + 18*g + 13 + 8141*g**3 - 4095*g**3 wrt g.\n' | b'24*g**2 - 240*g\n' | deepmind/math_dataset |
b'Let l(d) = d. Let v be (-11 - -4)*(-9)/21. Give l(v).\n' | b'3\n' | b'Let l(d) = d. Let v be (-11 - -4)*(-9)/21. Give l(v).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from joadppl. What is prob of picking 1 j, 1 a, 1 p, and 1 o?\n' | b'2/35\n' | b'Four letters picked without replacement from joadppl. What is prob of picking 1 j, 1 a, 1 p, and 1 o?\n' | b'2/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kwuwkuwwukuukwwwu. What is prob of picking 1 w and 3 k?\n' | b'1/85\n' | b'Four letters picked without replacement from kwuwkuwwukuukwwwu. What is prob of picking 1 w and 3 k?\n' | b'1/85\n' | deepmind/math_dataset |
b'Simplify r**6*r/((r*r*r*r*r**0*r)/r)*(r/r**1)/(r**(2/5)/r*r)*((r**(1/4)*r)/(r/(r/r**(-1/4))))/(r/r**(2/5))**(-1/28) assuming r is positive.\n' | b'r**(577/140)\n' | b'Simplify r**6*r/((r*r*r*r*r**0*r)/r)*(r/r**1)/(r**(2/5)/r*r)*((r**(1/4)*r)/(r/(r/r**(-1/4))))/(r/r**(2/5))**(-1/28) assuming r is positive.\n' | b'r**(577/140)\n' | deepmind/math_dataset |
b'Suppose -4*c = -2*v - v - 179, v = 3*c - 128. Suppose -29*q = -c - 133. Solve 3*b + 22 = -4*z, -3*b = -0 + q for z.\n' | b'-4\n' | b'Suppose -4*c = -2*v - v - 179, v = 3*c - 128. Suppose -29*q = -c - 133. Solve 3*b + 22 = -4*z, -3*b = -0 + q for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(w) be the third derivative of 319*w**6/120 - 16*w**5/15 + 37*w**2 + 6. What is the third derivative of r(k) wrt k?\n' | b'1914\n' | b'Let r(w) be the third derivative of 319*w**6/120 - 16*w**5/15 + 37*w**2 + 6. What is the third derivative of r(k) wrt k?\n' | b'1914\n' | deepmind/math_dataset |
b'Let y(c) be the first derivative of -13*c**5/20 + c**3 - 5*c**2 - 47*c - 131. Let r(a) be the first derivative of y(a). Find the first derivative of r(u) wrt u.\n' | b'-39*u**2 + 6\n' | b'Let y(c) be the first derivative of -13*c**5/20 + c**3 - 5*c**2 - 47*c - 131. Let r(a) be the first derivative of y(a). Find the first derivative of r(u) wrt u.\n' | b'-39*u**2 + 6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 5, j: 7, c: 3, f: 1, o: 2}. Give prob of sequence oj.\n' | b'7/153\n' | b'Two letters picked without replacement from {d: 5, j: 7, c: 3, f: 1, o: 2}. Give prob of sequence oj.\n' | b'7/153\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, t: 1, a: 2}. What is prob of sequence arat?\n' | b'1/30\n' | b'Four letters picked without replacement from {r: 2, t: 1, a: 2}. What is prob of sequence arat?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let v(x) = 2*x**2 - 16*x + 37. Let d be v(4). Solve b = -d*s - 9 - 6, -17 = s + 3*b for s.\n' | b'-2\n' | b'Let v(x) = 2*x**2 - 16*x + 37. Let d be v(4). Solve b = -d*s - 9 - 6, -17 = s + 3*b for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s when two letters picked without replacement from ssnsnsss.\n' | b'15/28\n' | b'Calculate prob of picking 2 s when two letters picked without replacement from ssnsnsss.\n' | b'15/28\n' | deepmind/math_dataset |
b'Simplify (l*l*l*l*l**(-3)*l*l*l**(1/7)*l*(l/((l/(l**(2/5)/l))/l*l*l))/(l*l**(-3/8)))/((l**(-6)/l**(-2/7))/((l**(-1)*l*l)/l)**(1/20)) assuming l is positive.\n' | b'l**(2137/280)\n' | b'Simplify (l*l*l*l*l**(-3)*l*l*l**(1/7)*l*(l/((l/(l**(2/5)/l))/l*l*l))/(l*l**(-3/8)))/((l**(-6)/l**(-2/7))/((l**(-1)*l*l)/l)**(1/20)) assuming l is positive.\n' | b'l**(2137/280)\n' | deepmind/math_dataset |
b'Simplify (p/(p*p**2*p*p))**26/(p**3/(p*p**(-6))) assuming p is positive.\n' | b'p**(-112)\n' | b'Simplify (p/(p*p**2*p*p))**26/(p**3/(p*p**(-6))) assuming p is positive.\n' | b'p**(-112)\n' | deepmind/math_dataset |
b'Suppose -3*x + 6 = -4*y, 3*y = -4*x - 0 - 17. Let z be (8/(-2))/(x - -1). Differentiate 28 + 6*g + 0*g**4 + 5*g**4 - 2*g**z + g**4 wrt g.\n' | b'16*g**3 + 6\n' | b'Suppose -3*x + 6 = -4*y, 3*y = -4*x - 0 - 17. Let z be (8/(-2))/(x - -1). Differentiate 28 + 6*g + 0*g**4 + 5*g**4 - 2*g**z + g**4 wrt g.\n' | b'16*g**3 + 6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 3, u: 4}. Give prob of sequence cu.\n' | b'2/7\n' | b'Two letters picked without replacement from {c: 3, u: 4}. Give prob of sequence cu.\n' | b'2/7\n' | deepmind/math_dataset |
b'Let b(x) = 1. Let o(f) = f**2 + 13*f + 9. Let q(k) = -2*b(k) + o(k). What is q(-13)?\n' | b'7\n' | b'Let b(x) = 1. Let o(f) = f**2 + 13*f + 9. Let q(k) = -2*b(k) + o(k). What is q(-13)?\n' | b'7\n' | deepmind/math_dataset |
b'Let r(c) = -c - 16. Let k(x) = -5. Let q(u) = -7*k(u) + 2*r(u). Let p(n) = -3*n + 31. Let s be p(9). Calculate q(s).\n' | b'-5\n' | b'Let r(c) = -c - 16. Let k(x) = -5. Let q(u) = -7*k(u) + 2*r(u). Let p(n) = -3*n + 31. Let s be p(9). Calculate q(s).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hkhuskkk. What is prob of sequence khkk?\n' | b'1/35\n' | b'Four letters picked without replacement from hkhuskkk. What is prob of sequence khkk?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let w(v) = v - 1. Let j(f) = 2*f**2 - 2*f + 1. Suppose -3*b - c - 3*c - 2 = 0, -4*b + c + 10 = 0. Let p be j(b). Determine w(p).\n' | b'4\n' | b'Let w(v) = v - 1. Let j(f) = 2*f**2 - 2*f + 1. Suppose -3*b - c - 3*c - 2 = 0, -4*b + c + 10 = 0. Let p be j(b). Determine w(p).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence tt when two letters picked without replacement from tjjttmmjmjmtjtmjttjj?\n' | b'21/190\n' | b'What is prob of sequence tt when two letters picked without replacement from tjjttmmjmjmtjtmjttjj?\n' | b'21/190\n' | deepmind/math_dataset |
b'Simplify p/(p/(p**16*p))*p**(-8)*(p**(-11))**(-7/6) assuming p is positive.\n' | b'p**(131/6)\n' | b'Simplify p/(p/(p**16*p))*p**(-8)*(p**(-11))**(-7/6) assuming p is positive.\n' | b'p**(131/6)\n' | deepmind/math_dataset |
b'What is prob of sequence dffi when four letters picked without replacement from daoddofodifddd?\n' | b'1/1716\n' | b'What is prob of sequence dffi when four letters picked without replacement from daoddofodifddd?\n' | b'1/1716\n' | deepmind/math_dataset |
b'Let g(l) = -l - 4. Let p be ((-2)/6)/((-8)/(-144)). Let b be 0 + (-3 - p/3). Let r(j) = 10*j. Let q be r(b). Give g(q).\n' | b'6\n' | b'Let g(l) = -l - 4. Let p be ((-2)/6)/((-8)/(-144)). Let b be 0 + (-3 - p/3). Let r(j) = 10*j. Let q be r(b). Give g(q).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify j*j*j/(j*j**(-5))*j*j**(-4/9)*(j*j**(-2/15)/j*j*j)/(j*j*j**(-9/7)*j) assuming j is positive.\n' | b'j**(2428/315)\n' | b'Simplify j*j*j/(j*j**(-5))*j*j**(-4/9)*(j*j**(-2/15)/j*j*j)/(j*j*j**(-9/7)*j) assuming j is positive.\n' | b'j**(2428/315)\n' | deepmind/math_dataset |
b'Simplify (b**(-9)*b**(-3))/(b**(1/36)/(b/(b*(b/(b/(b*b**(10/3))))/b))) assuming b is positive.\n' | b'b**(-553/36)\n' | b'Simplify (b**(-9)*b**(-3))/(b**(1/36)/(b/(b*(b/(b/(b*b**(10/3))))/b))) assuming b is positive.\n' | b'b**(-553/36)\n' | deepmind/math_dataset |
b'Let o = -37 + 37. Solve o = -2*g + 4*r + 6, 4*g + 11 = g + r for g.\n' | b'-5\n' | b'Let o = -37 + 37. Solve o = -2*g + 4*r + 6, 4*g + 11 = g + r for g.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((m**(1/18)*m)/(m*m*m/((m*m**(1/7))/m)*m))/((m**3*m)/(((m/(m*m*m**(-1/3)/m))/m)/m)))/((m**(1/11)/(m**5*m))/(m**(-2/3)*m**1)) assuming m is positive.\n' | b'm**(-3085/1386)\n' | b'Simplify (((m**(1/18)*m)/(m*m*m/((m*m**(1/7))/m)*m))/((m**3*m)/(((m/(m*m*m**(-1/3)/m))/m)/m)))/((m**(1/11)/(m**5*m))/(m**(-2/3)*m**1)) assuming m is positive.\n' | b'm**(-3085/1386)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wawaxwtttaabt. Give prob of sequence twwx.\n' | b'1/715\n' | b'Four letters picked without replacement from wawaxwtttaabt. Give prob of sequence twwx.\n' | b'1/715\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 9, j: 2, i: 5}. What is prob of picking 2 l and 2 j?\n' | b'9/455\n' | b'Four letters picked without replacement from {l: 9, j: 2, i: 5}. What is prob of picking 2 l and 2 j?\n' | b'9/455\n' | deepmind/math_dataset |
b'Simplify (r**(-1)*r**0/r)/(r/r**1)**(-2/65) assuming r is positive.\n' | b'r**(-2)\n' | b'Simplify (r**(-1)*r**0/r)/(r/r**1)**(-2/65) assuming r is positive.\n' | b'r**(-2)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 r when two letters picked without replacement from mmmmrmrr.\n' | b'3/28\n' | b'Calculate prob of picking 2 r when two letters picked without replacement from mmmmrmrr.\n' | b'3/28\n' | deepmind/math_dataset |
b'Let d(o) = o - 2*o**2 + o + 0*o. Suppose 113*g - 36 = 109*g. Suppose 24 = 3*n + g*n. What is d(n)?\n' | b'-4\n' | b'Let d(o) = o - 2*o**2 + o + 0*o. Suppose 113*g - 36 = 109*g. Suppose 24 = 3*n + g*n. What is d(n)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let i = 66 + -63. Differentiate -i + p - 36 + 1 - 15*p wrt p.\n' | b'-14\n' | b'Let i = 66 + -63. Differentiate -i + p - 36 + 1 - 15*p wrt p.\n' | b'-14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 1, w: 18}. What is prob of picking 3 w?\n' | b'16/19\n' | b'Three letters picked without replacement from {f: 1, w: 18}. What is prob of picking 3 w?\n' | b'16/19\n' | deepmind/math_dataset |
b'Let d(h) be the third derivative of 101*h**7/35 - 1027*h**3/6 + 1089*h**2. What is the derivative of d(n) wrt n?\n' | b'2424*n**3\n' | b'Let d(h) be the third derivative of 101*h**7/35 - 1027*h**3/6 + 1089*h**2. What is the derivative of d(n) wrt n?\n' | b'2424*n**3\n' | deepmind/math_dataset |
b'Simplify (j/j**(-3)*j**6)**(-2/7)*(j**(-1/3))**(-46)*j/j**5*j/(j*j**(4/5)*j*j) assuming j is positive.\n' | b'j**(596/105)\n' | b'Simplify (j/j**(-3)*j**6)**(-2/7)*(j**(-1/3))**(-46)*j/j**5*j/(j*j**(4/5)*j*j) assuming j is positive.\n' | b'j**(596/105)\n' | deepmind/math_dataset |
b'Simplify (((f*f**(1/4)*f)/f*f)**33)**(3/14)/((f/((f**8/f)/f)*f**(-5/3))/(f**(5/3)*f**(4/5)*f)) assuming f is positive.\n' | b'f**(21877/840)\n' | b'Simplify (((f*f**(1/4)*f)/f*f)**33)**(3/14)/((f/((f**8/f)/f)*f**(-5/3))/(f**(5/3)*f**(4/5)*f)) assuming f is positive.\n' | b'f**(21877/840)\n' | deepmind/math_dataset |
b'What is prob of sequence rrru when four letters picked without replacement from {g: 8, u: 4, r: 8}?\n' | b'56/4845\n' | b'What is prob of sequence rrru when four letters picked without replacement from {g: 8, u: 4, r: 8}?\n' | b'56/4845\n' | deepmind/math_dataset |
b'Let r(a) = a**2 + 2*a - 2. Let t be r(11). Suppose 2*f = 5*f - t. What is the third derivative of 8*s**5 + 44*s**5 - 15*s**5 - f*s**2 wrt s?\n' | b'2220*s**2\n' | b'Let r(a) = a**2 + 2*a - 2. Let t be r(11). Suppose 2*f = 5*f - t. What is the third derivative of 8*s**5 + 44*s**5 - 15*s**5 - f*s**2 wrt s?\n' | b'2220*s**2\n' | deepmind/math_dataset |
b'Let b = 5 + -3. Suppose b*a = -3*q + 4 - 0, -4*a - 2 = q. Find the first derivative of z - 3*z - 3*z**4 + 2 + q*z wrt z.\n' | b'-12*z**3\n' | b'Let b = 5 + -3. Suppose b*a = -3*q + 4 - 0, -4*a - 2 = q. Find the first derivative of z - 3*z - 3*z**4 + 2 + q*z wrt z.\n' | b'-12*z**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence uq when two letters picked without replacement from qqqquqquyqqyqqy.\n' | b'2/21\n' | b'Calculate prob of sequence uq when two letters picked without replacement from qqqquqquyqqyqqy.\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose -2*o - 7 = -19. Let v(x) = -8*x**2 - 4 - 13*x + 2*x**2 + x**3 + 12*x. Calculate v(o).\n' | b'-10\n' | b'Suppose -2*o - 7 = -19. Let v(x) = -8*x**2 - 4 - 13*x + 2*x**2 + x**3 + 12*x. Calculate v(o).\n' | b'-10\n' | deepmind/math_dataset |
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