question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Four letters picked without replacement from {w: 4, n: 1, z: 3, q: 4, i: 1}. What is prob of picking 1 i, 2 z, and 1 q?\n' | b'12/715\n' | b'Four letters picked without replacement from {w: 4, n: 1, z: 3, q: 4, i: 1}. What is prob of picking 1 i, 2 z, and 1 q?\n' | b'12/715\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 4, e: 1, i: 2, k: 3, l: 1}. What is prob of sequence kii?\n' | b'1/165\n' | b'Three letters picked without replacement from {h: 4, e: 1, i: 2, k: 3, l: 1}. What is prob of sequence kii?\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify (g**(2/15)*g**(7/4))**(-2/43)*((g*g*(g*g**0)/g*g*g)**(-4))**(3/22) assuming g is positive.\n' | b'g**(-32203/14190)\n' | b'Simplify (g**(2/15)*g**(7/4))**(-2/43)*((g*g*(g*g**0)/g*g*g)**(-4))**(3/22) assuming g is positive.\n' | b'g**(-32203/14190)\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 1 q when two letters picked without replacement from uyumqyqduqqduyduuqjy?\n' | b'1/38\n' | b'What is prob of picking 1 m and 1 q when two letters picked without replacement from uyumqyqduqqduyduuqjy?\n' | b'1/38\n' | deepmind/math_dataset |
b'Let t(a) = 21*a**2 - 12*a - 582. Let r(n) = 6*n**2 + 3*n. Let c(p) = -3*r(p) - t(p). Differentiate c(x) wrt x.\n' | b'-78*x + 3\n' | b'Let t(a) = 21*a**2 - 12*a - 582. Let r(n) = 6*n**2 + 3*n. Let c(p) = -3*r(p) - t(p). Differentiate c(x) wrt x.\n' | b'-78*x + 3\n' | deepmind/math_dataset |
b'Simplify (w/(w/(w**1*w)))**(15/8)*w**(5/3)*w**(5/2) assuming w is positive.\n' | b'w**(95/12)\n' | b'Simplify (w/(w/(w**1*w)))**(15/8)*w**(5/3)*w**(5/2) assuming w is positive.\n' | b'w**(95/12)\n' | deepmind/math_dataset |
b'What is the second derivative of -92*l**4 + 137*l - 296*l**3 - 225*l**4 + 590*l**3 - 294*l**3 wrt l?\n' | b'-3804*l**2\n' | b'What is the second derivative of -92*l**4 + 137*l - 296*l**3 - 225*l**4 + 590*l**3 - 294*l**3 wrt l?\n' | b'-3804*l**2\n' | deepmind/math_dataset |
b'Let g(q) = q**3 - 4*q**2 - 6*q + 4. Let z = -14 + 31. Let o = -12 + z. Give g(o).\n' | b'-1\n' | b'Let g(q) = q**3 - 4*q**2 - 6*q + 4. Let z = -14 + 31. Let o = -12 + z. Give g(o).\n' | b'-1\n' | deepmind/math_dataset |
b'Let p(k) = -3*k**2 - 4*k**3 - 2*k + 1 - 17*k**2 + 20*k**2. Calculate p(1).\n' | b'-5\n' | b'Let p(k) = -3*k**2 - 4*k**3 - 2*k + 1 - 17*k**2 + 20*k**2. Calculate p(1).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (s/(s/((s/(s**29/s))/s)*s*s)*s*s*s)/(s/(s*s**(-16)))*s**(14/5)/(s*s**9) assuming s is positive.\n' | b's**(-251/5)\n' | b'Simplify (s/(s/((s/(s**29/s))/s)*s*s)*s*s*s)/(s/(s*s**(-16)))*s**(14/5)/(s*s**9) assuming s is positive.\n' | b's**(-251/5)\n' | deepmind/math_dataset |
b'Let m(y) be the first derivative of 13*y**6/6 - 3*y**2 + 10. What is the second derivative of m(p) wrt p?\n' | b'260*p**3\n' | b'Let m(y) be the first derivative of 13*y**6/6 - 3*y**2 + 10. What is the second derivative of m(p) wrt p?\n' | b'260*p**3\n' | deepmind/math_dataset |
b'What is prob of sequence xx when two letters picked without replacement from {p: 1, x: 2, c: 1, v: 3, f: 4}?\n' | b'1/55\n' | b'What is prob of sequence xx when two letters picked without replacement from {p: 1, x: 2, c: 1, v: 3, f: 4}?\n' | b'1/55\n' | deepmind/math_dataset |
b'Let d(m) = -8*m + 639 - 7*m - 663. Let n(u) = 2 + 2 - u - 5. Let w(c) = d(c) - 18*n(c). Differentiate w(b) wrt b.\n' | b'3\n' | b'Let d(m) = -8*m + 639 - 7*m - 663. Let n(u) = 2 + 2 - u - 5. Let w(c) = d(c) - 18*n(c). Differentiate w(b) wrt b.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lgglt. What is prob of sequence tl?\n' | b'1/10\n' | b'Two letters picked without replacement from lgglt. What is prob of sequence tl?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (z**1*z**(-6))**(-28)/(z*z/z**(-7/3)*z/z**(2/11))**(4/3) assuming z is positive.\n' | b'z**(13180/99)\n' | b'Simplify (z**1*z**(-6))**(-28)/(z*z/z**(-7/3)*z/z**(2/11))**(4/3) assuming z is positive.\n' | b'z**(13180/99)\n' | deepmind/math_dataset |
b'What is prob of sequence wa when two letters picked without replacement from {a: 3, w: 2, y: 1, x: 1}?\n' | b'1/7\n' | b'What is prob of sequence wa when two letters picked without replacement from {a: 3, w: 2, y: 1, x: 1}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, i: 3, a: 1, t: 4, b: 6}. What is prob of picking 2 t and 1 j?\n' | b'6/455\n' | b'Three letters picked without replacement from {j: 1, i: 3, a: 1, t: 4, b: 6}. What is prob of picking 2 t and 1 j?\n' | b'6/455\n' | deepmind/math_dataset |
b'Let p(r) be the first derivative of r**4/12 + 2*r**3/3 - 5*r**2/2 + 2*r - 32. Let c(l) be the first derivative of p(l). What is c(-4)?\n' | b'-5\n' | b'Let p(r) be the first derivative of r**4/12 + 2*r**3/3 - 5*r**2/2 + 2*r - 32. Let c(l) be the first derivative of p(l). What is c(-4)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((h**(-2))**(20/9)/(h**4)**10)**(12/13) assuming h is positive.\n' | b'h**(-1600/39)\n' | b'Simplify ((h**(-2))**(20/9)/(h**4)**10)**(12/13) assuming h is positive.\n' | b'h**(-1600/39)\n' | deepmind/math_dataset |
b'Simplify ((((q**(-15)*q)/q)/(q/q**2*q))**(-2/59))**32 assuming q is positive.\n' | b'q**(960/59)\n' | b'Simplify ((((q**(-15)*q)/q)/(q/q**2*q))**(-2/59))**32 assuming q is positive.\n' | b'q**(960/59)\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 3 h when four letters picked without replacement from {o: 10, l: 1, h: 8}?\n' | b'140/969\n' | b'What is prob of picking 1 o and 3 h when four letters picked without replacement from {o: 10, l: 1, h: 8}?\n' | b'140/969\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yyymupu. Give prob of sequence uyu.\n' | b'1/35\n' | b'Three letters picked without replacement from yyymupu. Give prob of sequence uyu.\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 o when two letters picked without replacement from {o: 1, w: 3}?\n' | b'1/2\n' | b'What is prob of picking 1 w and 1 o when two letters picked without replacement from {o: 1, w: 3}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify ((c*c**(3/8))/(c/(c**4*c*c)*c))**39*(c/c**(1/2))**(-18/13)/(c**(-1/4)/(c/c**(-3))) assuming c is positive.\n' | b'c**(22171/104)\n' | b'Simplify ((c*c**(3/8))/(c/(c**4*c*c)*c))**39*(c/c**(1/2))**(-18/13)/(c**(-1/4)/(c/c**(-3))) assuming c is positive.\n' | b'c**(22171/104)\n' | deepmind/math_dataset |
b'Let n(t) be the first derivative of 26*t**3/3 - 2*t**2 - t - 2945. Calculate n(-1).\n' | b'29\n' | b'Let n(t) be the first derivative of 26*t**3/3 - 2*t**2 - t - 2945. Calculate n(-1).\n' | b'29\n' | deepmind/math_dataset |
b'Let s be (-6)/14 - 12/(-28). Solve 0*b - 16 = b - 3*l, s = -l + 5 for b.\n' | b'-1\n' | b'Let s be (-6)/14 - 12/(-28). Solve 0*b - 16 = b - 3*l, s = -l + 5 for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooosxxzxzzxoxzsoxo. What is prob of picking 3 x?\n' | b'5/204\n' | b'Three letters picked without replacement from ooosxxzxzzxoxzsoxo. What is prob of picking 3 x?\n' | b'5/204\n' | deepmind/math_dataset |
b'Three letters picked without replacement from wlwllwrrwawwrlalwwv. Give prob of picking 1 l, 1 v, and 1 r.\n' | b'5/323\n' | b'Three letters picked without replacement from wlwllwrrwawwrlalwwv. Give prob of picking 1 l, 1 v, and 1 r.\n' | b'5/323\n' | deepmind/math_dataset |
b'Let f be (-690)/(-21) + (-4)/(-28). Suppose 4*i + f = 33. Solve i = 4*k + 4, -2*w + 5*k - 4 - 1 = 0 for w.\n' | b'-5\n' | b'Let f be (-690)/(-21) + (-4)/(-28). Suppose 4*i + f = 33. Solve i = 4*k + 4, -2*w + 5*k - 4 - 1 = 0 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Let u(y) = y**2 + 3 - 628*y - 5 + 317*y + 314*y. Calculate u(1).\n' | b'2\n' | b'Let u(y) = y**2 + 3 - 628*y - 5 + 317*y + 314*y. Calculate u(1).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*a = 3*u + 45, a + 3*a = -2*u - 54. Let i be (-182)/a - (0 + 2)/12. Solve 21 = -3*y - 4*f, 0*f = 4*y + f + i for y.\n' | b'-3\n' | b'Suppose -3*a = 3*u + 45, a + 3*a = -2*u - 54. Let i be (-182)/a - (0 + 2)/12. Solve 21 = -3*y - 4*f, 0*f = 4*y + f + i for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let y(h) = h**3 + 2*h**2 + 3*h + 4. Let q = 39 - 42. Calculate y(q).\n' | b'-14\n' | b'Let y(h) = h**3 + 2*h**2 + 3*h + 4. Let q = 39 - 42. Calculate y(q).\n' | b'-14\n' | deepmind/math_dataset |
b'Let l(o) = -1 - o - o**2 - 2 + 8. Let j be l(0). Solve -4*c - 35 = -3*m, j*c + 3*m = 6*m - 40 for c.\n' | b'-5\n' | b'Let l(o) = -1 - o - o**2 - 2 + 8. Let j be l(0). Solve -4*c - 35 = -3*m, j*c + 3*m = 6*m - 40 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((y**(23/4)/y)/(y**(2/33)/y))**(-2/57) assuming y is positive.\n' | b'y**(-751/3762)\n' | b'Simplify ((y**(23/4)/y)/(y**(2/33)/y))**(-2/57) assuming y is positive.\n' | b'y**(-751/3762)\n' | deepmind/math_dataset |
b'Simplify (j**1)**(-19/4) assuming j is positive.\n' | b'j**(-19/4)\n' | b'Simplify (j**1)**(-19/4) assuming j is positive.\n' | b'j**(-19/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvvv. Give prob of sequence vv.\n' | b'1\n' | b'Two letters picked without replacement from vvvvv. Give prob of sequence vv.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify j/(j*j/(j/(j*j**(2/21))))*j*(((j*j*j**(6/7))/j)/j)/j*(j**9*j)/(j/j**(-4)) assuming j is positive.\n' | b'j**(100/21)\n' | b'Simplify j/(j*j/(j/(j*j**(2/21))))*j*(((j*j*j**(6/7))/j)/j)/j*(j**9*j)/(j/j**(-4)) assuming j is positive.\n' | b'j**(100/21)\n' | deepmind/math_dataset |
b'Let f(j) = 20*j - 2. Let t be 1 + (-2 - 2) + (-67 - -72). Let s(k) = -30*k + 58. Let c be s(t). Determine f(c).\n' | b'-42\n' | b'Let f(j) = 20*j - 2. Let t be 1 + (-2 - 2) + (-67 - -72). Let s(k) = -30*k + 58. Let c be s(t). Determine f(c).\n' | b'-42\n' | deepmind/math_dataset |
b'Let n(y) = y**2 - 10*y + 11. Let r be n(10). Suppose 4*c + 8 = 72. Solve z - q = -4*q + c, -z - 2*q + r = 0 for z.\n' | b'1\n' | b'Let n(y) = y**2 - 10*y + 11. Let r be n(10). Suppose 4*c + 8 = 72. Solve z - q = -4*q + c, -z - 2*q + r = 0 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence egi when three letters picked without replacement from gieeefiqpefieeeeee.\n' | b'5/816\n' | b'Calculate prob of sequence egi when three letters picked without replacement from gieeefiqpefieeeeee.\n' | b'5/816\n' | deepmind/math_dataset |
b'Let l(x) = 3*x - 5. Let b be l(2). Let r be (-44)/(-16) - b/(-4). Solve -2*q = -0*p - r*p - 14, q = p + 6 for q.\n' | b'4\n' | b'Let l(x) = 3*x - 5. Let b be l(2). Let r be (-44)/(-16) - b/(-4). Solve -2*q = -0*p - r*p - 14, q = p + 6 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Let y(r) be the first derivative of -r**3/3 + 5*r**2/2 + 13*r + 24. Let l be y(6). Solve -l = 4*w - 3*i, w + i - 3*i = 2 for w.\n' | b'-4\n' | b'Let y(r) be the first derivative of -r**3/3 + 5*r**2/2 + 13*r + 24. Let l be y(6). Solve -l = 4*w - 3*i, w + i - 3*i = 2 for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oxyyoxoyhyjoxooox. What is prob of sequence ojhx?\n' | b'1/2040\n' | b'Four letters picked without replacement from oxyyoxoyhyjoxooox. What is prob of sequence ojhx?\n' | b'1/2040\n' | deepmind/math_dataset |
b'Simplify m*(m**(-3)*m)/m*m*m**(-1)*(m**1)**37*(m**(2/3)*m/((m/(m/(m*m/m**(2/7)))*m)/m))/(m**(-5)/(m/(m*m**6))) assuming m is positive.\n' | b'm**(713/21)\n' | b'Simplify m*(m**(-3)*m)/m*m*m**(-1)*(m**1)**37*(m**(2/3)*m/((m/(m/(m*m/m**(2/7)))*m)/m))/(m**(-5)/(m/(m*m**6))) assuming m is positive.\n' | b'm**(713/21)\n' | deepmind/math_dataset |
b'Let p(o) be the second derivative of -o**5/20 - o**4/6 + o**3/3 - o**2 + 32*o. What is p(-3)?\n' | b'1\n' | b'Let p(o) be the second derivative of -o**5/20 - o**4/6 + o**3/3 - o**2 + 32*o. What is p(-3)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -k + 3*l + 1 = -1, 5*l - 6 = -3*k. Let j = -2 - 1. Let g = 8 + j. Solve u = -s + 5 + 1, k*s + 9 = g*u for u.\n' | b'3\n' | b'Suppose -k + 3*l + 1 = -1, 5*l - 6 = -3*k. Let j = -2 - 1. Let g = 8 + j. Solve u = -s + 5 + 1, k*s + 9 = g*u for u.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 q when two letters picked without replacement from vdgrqvl.\n' | b'1/21\n' | b'Calculate prob of picking 1 g and 1 q when two letters picked without replacement from vdgrqvl.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let c(s) = 5*s**2 + 2*s - 1. Let d be c(1). Let m(k) = k**2 - 7*k - 7. Determine m(d).\n' | b'-13\n' | b'Let c(s) = 5*s**2 + 2*s - 1. Let d be c(1). Let m(k) = k**2 - 7*k - 7. Determine m(d).\n' | b'-13\n' | deepmind/math_dataset |
b'Let w = -45 - -43. Let j(p) = -p**3 - 3*p**2 + 3*p + 3. Determine j(w).\n' | b'-7\n' | b'Let w = -45 - -43. Let j(p) = -p**3 - 3*p**2 + 3*p + 3. Determine j(w).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from glincrn. What is prob of picking 1 l, 1 g, and 1 i?\n' | b'1/35\n' | b'Three letters picked without replacement from glincrn. What is prob of picking 1 l, 1 g, and 1 i?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify ((p**(-1))**(-3/7)/(p*((p/((p**(2/7)/p)/p))/p)/p*p*p**(2/3)))/((p*p**(-2/3))/(p*p**1))**(-48) assuming p is positive.\n' | b'p**(-1742/21)\n' | b'Simplify ((p**(-1))**(-3/7)/(p*((p/((p**(2/7)/p)/p))/p)/p*p*p**(2/3)))/((p*p**(-2/3))/(p*p**1))**(-48) assuming p is positive.\n' | b'p**(-1742/21)\n' | deepmind/math_dataset |
b'Let j be -3 + (1 - (-2 + 1)). Let g = j + 6. Find the second derivative of 3*b**5 + 4*b**5 - 6*b**g + 3*b wrt b.\n' | b'20*b**3\n' | b'Let j be -3 + (1 - (-2 + 1)). Let g = j + 6. Find the second derivative of 3*b**5 + 4*b**5 - 6*b**g + 3*b wrt b.\n' | b'20*b**3\n' | deepmind/math_dataset |
b'Let c(o) be the second derivative of -17*o**6/15 - 995*o**3/6 - 1324*o. What is the second derivative of c(v) wrt v?\n' | b'-408*v**2\n' | b'Let c(o) be the second derivative of -17*o**6/15 - 995*o**3/6 - 1324*o. What is the second derivative of c(v) wrt v?\n' | b'-408*v**2\n' | deepmind/math_dataset |
b'Differentiate 117*u**3 + 21*u**3 - 4*u**3 + 104 with respect to u.\n' | b'402*u**2\n' | b'Differentiate 117*u**3 + 21*u**3 - 4*u**3 + 104 with respect to u.\n' | b'402*u**2\n' | deepmind/math_dataset |
b'Let d(c) be the first derivative of 1/6*c**3 - 13 + 3*c**2 - 1/30*c**5 + 0*c - 1/12*c**4. Let q(k) be the second derivative of d(k). What is q(1)?\n' | b'-3\n' | b'Let d(c) be the first derivative of 1/6*c**3 - 13 + 3*c**2 - 1/30*c**5 + 0*c - 1/12*c**4. Let q(k) be the second derivative of d(k). What is q(1)?\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, b: 8, e: 1, o: 2}. Give prob of sequence ze.\n' | b'1/78\n' | b'Two letters picked without replacement from {z: 2, b: 8, e: 1, o: 2}. Give prob of sequence ze.\n' | b'1/78\n' | deepmind/math_dataset |
b'Simplify (i**17*i**(1/18)*i)**(4/11) assuming i is positive.\n' | b'i**(650/99)\n' | b'Simplify (i**17*i**(1/18)*i)**(4/11) assuming i is positive.\n' | b'i**(650/99)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 l when two letters picked without replacement from lzyszzzsz?\n' | b'1/18\n' | b'What is prob of picking 1 s and 1 l when two letters picked without replacement from lzyszzzsz?\n' | b'1/18\n' | deepmind/math_dataset |
b'Let q(c) = -74*c - 1632. Let l be q(-22). Let d(a) = 52*a + 208. Give d(l).\n' | b'0\n' | b'Let q(c) = -74*c - 1632. Let l be q(-22). Let d(a) = 52*a + 208. Give d(l).\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence qqqq when four letters picked without replacement from {q: 9}?\n' | b'1\n' | b'What is prob of sequence qqqq when four letters picked without replacement from {q: 9}?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*f + 4 = 2*g, 2*f - f - 8 = -g. Suppose -f*h + 5*h + 5*h = 0. Let j(d) = h + 4 + 0*d + 2*d. Give j(-6).\n' | b'-8\n' | b'Suppose 2*f + 4 = 2*g, 2*f - f - 8 = -g. Suppose -f*h + 5*h + 5*h = 0. Let j(d) = h + 4 + 0*d + 2*d. Give j(-6).\n' | b'-8\n' | deepmind/math_dataset |
b'Let f be 28 + 6/(-3) - (1 - -2). Find the second derivative of 39*t**2 - f*t**2 - 5*t + 4*t - 2*t wrt t.\n' | b'32\n' | b'Let f be 28 + 6/(-3) - (1 - -2). Find the second derivative of 39*t**2 - f*t**2 - 5*t + 4*t - 2*t wrt t.\n' | b'32\n' | deepmind/math_dataset |
b'Let t(k) = -2 + 1 - 5*k + 2. Determine t(2).\n' | b'-9\n' | b'Let t(k) = -2 + 1 - 5*k + 2. Determine t(2).\n' | b'-9\n' | deepmind/math_dataset |
b'Let v(c) = -c + 9. Let t be v(7). Let j(g) = 0*g - 62*g**3 + 63*g**3 + 0*g - 3*g**2 - 2. Give j(t).\n' | b'-6\n' | b'Let v(c) = -c + 9. Let t be v(7). Let j(g) = 0*g - 62*g**3 + 63*g**3 + 0*g - 3*g**2 - 2. Give j(t).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -3*l - o + 26 = 4*o, 0 = 2*o - 8. Let i(d) = d**3 + 2 - 1 + l - 2*d**2 - 4*d. Suppose 4*y - 35 = -3*g, -3*y = -4*y + 3*g - 25. Give i(y).\n' | b'-5\n' | b'Suppose -3*l - o + 26 = 4*o, 0 = 2*o - 8. Let i(d) = d**3 + 2 - 1 + l - 2*d**2 - 4*d. Suppose 4*y - 35 = -3*g, -3*y = -4*y + 3*g - 25. Give i(y).\n' | b'-5\n' | deepmind/math_dataset |
b'Let x be 1/(-4) - 85/(-20). Differentiate -1 - 1 + 1 + 12*o**x + 8 wrt o.\n' | b'48*o**3\n' | b'Let x be 1/(-4) - 85/(-20). Differentiate -1 - 1 + 1 + 12*o**x + 8 wrt o.\n' | b'48*o**3\n' | deepmind/math_dataset |
b'Let d = 49 - 47. Let g(x) be the second derivative of 0*x**d + 0 - 3/20*x**5 - 1/6*x**3 + 0*x**4 + 2*x. Find the second derivative of g(j) wrt j.\n' | b'-18*j\n' | b'Let d = 49 - 47. Let g(x) be the second derivative of 0*x**d + 0 - 3/20*x**5 - 1/6*x**3 + 0*x**4 + 2*x. Find the second derivative of g(j) wrt j.\n' | b'-18*j\n' | deepmind/math_dataset |
b'Suppose -1 = 2*u - 5. Differentiate -g**u - g**2 + 6*g**2 - 7 with respect to g.\n' | b'8*g\n' | b'Suppose -1 = 2*u - 5. Differentiate -g**u - g**2 + 6*g**2 - 7 with respect to g.\n' | b'8*g\n' | deepmind/math_dataset |
b'Let d(f) = f - 4. Let n(l) = -2*l + 18. Let r be n(13). Let s be (-8)/(-32) + (-62)/r. Suppose 3*o + 9 = 0, 5*b = -o - 3*o + s. What is d(b)?\n' | b'0\n' | b'Let d(f) = f - 4. Let n(l) = -2*l + 18. Let r be n(13). Let s be (-8)/(-32) + (-62)/r. Suppose 3*o + 9 = 0, 5*b = -o - 3*o + s. What is d(b)?\n' | b'0\n' | deepmind/math_dataset |
b'Find the second derivative of 492*d**2 - 5*d**3 - 21*d**3 - 7*d**3 - 977*d**2 + d + 57 + 486*d**2 wrt d.\n' | b'-198*d + 2\n' | b'Find the second derivative of 492*d**2 - 5*d**3 - 21*d**3 - 7*d**3 - 977*d**2 + d + 57 + 486*d**2 wrt d.\n' | b'-198*d + 2\n' | deepmind/math_dataset |
b'What is prob of picking 1 v, 1 z, and 2 y when four letters picked without replacement from yznnzynynnznznyyvy?\n' | b'1/51\n' | b'What is prob of picking 1 v, 1 z, and 2 y when four letters picked without replacement from yznnzynynnznznyyvy?\n' | b'1/51\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiiciiiciiiii. Give prob of picking 2 i.\n' | b'55/78\n' | b'Two letters picked without replacement from iiiciiiciiiii. Give prob of picking 2 i.\n' | b'55/78\n' | deepmind/math_dataset |
b'Simplify (((w*w**(-6/19))/w)/(w**4/w))**(-2/3) assuming w is positive.\n' | b'w**(42/19)\n' | b'Simplify (((w*w**(-6/19))/w)/(w**4/w))**(-2/3) assuming w is positive.\n' | b'w**(42/19)\n' | deepmind/math_dataset |
b'Let d(q) be the first derivative of 4*q**3/3 - q + 11. Let b = -3 + 3. Let g = -1 + b. Calculate d(g).\n' | b'3\n' | b'Let d(q) be the first derivative of 4*q**3/3 - q + 11. Let b = -3 + 3. Let g = -1 + b. Calculate d(g).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence gg when two letters picked without replacement from {w: 11, l: 2, g: 2}.\n' | b'1/105\n' | b'Calculate prob of sequence gg when two letters picked without replacement from {w: 11, l: 2, g: 2}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gololggglglg. What is prob of picking 1 g and 3 l?\n' | b'8/165\n' | b'Four letters picked without replacement from gololggglglg. What is prob of picking 1 g and 3 l?\n' | b'8/165\n' | deepmind/math_dataset |
b'Let w(r) = -r**2 + 179*r + 1307. Let i be w(-7). Solve -3*t = 2*n - 0*t + 6, t + 2 = i*n for n.\n' | b'0\n' | b'Let w(r) = -r**2 + 179*r + 1307. Let i be w(-7). Solve -3*t = 2*n - 0*t + 6, t + 2 = i*n for n.\n' | b'0\n' | deepmind/math_dataset |
b'Let v(q) = 5*q**3 + 64*q**2 - 596*q - 2. Let w(z) = -2*z**3 + 1. Let t(k) = -v(k) - 2*w(k). Find the second derivative of t(p) wrt p.\n' | b'-6*p - 128\n' | b'Let v(q) = 5*q**3 + 64*q**2 - 596*q - 2. Let w(z) = -2*z**3 + 1. Let t(k) = -v(k) - 2*w(k). Find the second derivative of t(p) wrt p.\n' | b'-6*p - 128\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, h: 2, p: 1, a: 1, t: 6}. Give prob of sequence th.\n' | b'1/11\n' | b'Two letters picked without replacement from {i: 2, h: 2, p: 1, a: 1, t: 6}. Give prob of sequence th.\n' | b'1/11\n' | deepmind/math_dataset |
b'Simplify ((j**(2/3)/j)/j)/j*j*j*j*j*j**(-4/17) assuming j is positive.\n' | b'j**(73/51)\n' | b'Simplify ((j**(2/3)/j)/j)/j*j*j*j*j*j**(-4/17) assuming j is positive.\n' | b'j**(73/51)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 1, o: 1, u: 3, d: 8, t: 2, k: 2}. What is prob of picking 1 j, 1 t, and 1 d?\n' | b'2/85\n' | b'Three letters picked without replacement from {j: 1, o: 1, u: 3, d: 8, t: 2, k: 2}. What is prob of picking 1 j, 1 t, and 1 d?\n' | b'2/85\n' | deepmind/math_dataset |
b'Two letters picked without replacement from smmmsmmmmmmmm. Give prob of picking 2 s.\n' | b'1/78\n' | b'Two letters picked without replacement from smmmsmmmmmmmm. Give prob of picking 2 s.\n' | b'1/78\n' | deepmind/math_dataset |
b'What is prob of sequence oy when two letters picked without replacement from {y: 1, t: 2, n: 2, o: 1, a: 1, z: 2}?\n' | b'1/72\n' | b'What is prob of sequence oy when two letters picked without replacement from {y: 1, t: 2, n: 2, o: 1, a: 1, z: 2}?\n' | b'1/72\n' | deepmind/math_dataset |
b'Find the third derivative of -5*a**6 - 25797*a**2 + 7*a**6 + 28138*a**2 + 15*a**6 - 33*a**4 wrt a.\n' | b'2040*a**3 - 792*a\n' | b'Find the third derivative of -5*a**6 - 25797*a**2 + 7*a**6 + 28138*a**2 + 15*a**6 - 33*a**4 wrt a.\n' | b'2040*a**3 - 792*a\n' | deepmind/math_dataset |
b'Suppose -4*y + 64 = 3*c, -c = y - 3*c - 16. Suppose -2 = 2*n + y. Let q = 11 + n. Let m(t) = -7*t + 1. Give m(q).\n' | b'-13\n' | b'Suppose -4*y + 64 = 3*c, -c = y - 3*c - 16. Suppose -2 = 2*n + y. Let q = 11 + n. Let m(t) = -7*t + 1. Give m(q).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of picking 3 h and 1 x when four letters picked without replacement from {x: 12, h: 6}?\n' | b'4/51\n' | b'What is prob of picking 3 h and 1 x when four letters picked without replacement from {x: 12, h: 6}?\n' | b'4/51\n' | deepmind/math_dataset |
b'Let f(b) = b + 5. Let l(x) = -x. Let w(m) = f(m) + 2*l(m). Suppose 28 = 3*u + 2*d, 0*d = -2*u - 3*d + 17. Suppose h - u = -h. What is w(h)?\n' | b'0\n' | b'Let f(b) = b + 5. Let l(x) = -x. Let w(m) = f(m) + 2*l(m). Suppose 28 = 3*u + 2*d, 0*d = -2*u - 3*d + 17. Suppose h - u = -h. What is w(h)?\n' | b'0\n' | deepmind/math_dataset |
b'Let a = -1 - -4. Suppose a*c = 5*c. Suppose 0*f = -5*h - 4*f + 56, c = 4*h - 4*f - 52. Solve 2 = -2*l + i - h, -27 = 3*l - 3*i for l.\n' | b'-5\n' | b'Let a = -1 - -4. Suppose a*c = 5*c. Suppose 0*f = -5*h - 4*f + 56, c = 4*h - 4*f - 52. Solve 2 = -2*l + i - h, -27 = 3*l - 3*i for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w = 45 + -29. What is the third derivative of -w*u**3 + 2*u**2 - 9*u**2 + 2*u**2 - 3*u**2 wrt u?\n' | b'-96\n' | b'Let w = 45 + -29. What is the third derivative of -w*u**3 + 2*u**2 - 9*u**2 + 2*u**2 - 3*u**2 wrt u?\n' | b'-96\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 f when two letters picked without replacement from {d: 2, f: 1, l: 8, s: 2, a: 2}?\n' | b'2/105\n' | b'What is prob of picking 1 a and 1 f when two letters picked without replacement from {d: 2, f: 1, l: 8, s: 2, a: 2}?\n' | b'2/105\n' | deepmind/math_dataset |
b'Let n(x) be the first derivative of -9*x**4/2 + 7*x**2 + 17. What is the second derivative of n(g) wrt g?\n' | b'-108*g\n' | b'Let n(x) be the first derivative of -9*x**4/2 + 7*x**2 + 17. What is the second derivative of n(g) wrt g?\n' | b'-108*g\n' | deepmind/math_dataset |
b'Let n(h) = 2*h**3 - h**2 + 2*h - 5. Let k(c) = c**3 - 2*c - 1. Let q be k(-1). Let a be n(q). Let d(s) = s**3 + 4*s**2 - 5*s. Give d(a).\n' | b'0\n' | b'Let n(h) = 2*h**3 - h**2 + 2*h - 5. Let k(c) = c**3 - 2*c - 1. Let q be k(-1). Let a be n(q). Let d(s) = s**3 + 4*s**2 - 5*s. Give d(a).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of sequence uy when two letters picked without replacement from dudymnu.\n' | b'1/21\n' | b'Calculate prob of sequence uy when two letters picked without replacement from dudymnu.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (h**(-1/3))**(2/183)*h**(-1/24)*h/((h**6*h)/h)*h assuming h is positive.\n' | b'h**(-17767/4392)\n' | b'Simplify (h**(-1/3))**(2/183)*h**(-1/24)*h/((h**6*h)/h)*h assuming h is positive.\n' | b'h**(-17767/4392)\n' | deepmind/math_dataset |
b'Simplify ((x**(-2/3)/x)/x*x)**0*(x*x**(1/9))/(x/x**7)*x/x**0*(x*x*x/x**(1/4))/x*x**(-2/9)*x**(-1/4) assuming x is positive.\n' | b'x**(169/18)\n' | b'Simplify ((x**(-2/3)/x)/x*x)**0*(x*x**(1/9))/(x/x**7)*x/x**0*(x*x*x/x**(1/4))/x*x**(-2/9)*x**(-1/4) assuming x is positive.\n' | b'x**(169/18)\n' | deepmind/math_dataset |
b'Let v = 21 + -18. Solve -2*c + 4 = -n, v*c = 2*n + 2 + 2 for n.\n' | b'4\n' | b'Let v = 21 + -18. Solve -2*c + 4 = -n, v*c = 2*n + 2 + 2 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Let p be (3 + -3)/(1 + 0). Let g = p + 4. What is the second derivative of -10*i**g + 11*i - i - 4 + 4 wrt i?\n' | b'-120*i**2\n' | b'Let p be (3 + -3)/(1 + 0). Let g = p + 4. What is the second derivative of -10*i**g + 11*i - i - 4 + 4 wrt i?\n' | b'-120*i**2\n' | deepmind/math_dataset |
b'What is the third derivative of -14*g**4 + g**2 - g**2 - 5*g**2 + 11*g**4 wrt g?\n' | b'-72*g\n' | b'What is the third derivative of -14*g**4 + g**2 - g**2 - 5*g**2 + 11*g**4 wrt g?\n' | b'-72*g\n' | deepmind/math_dataset |
b'Let z = 103 + -101. Solve -4*p + z*p = 2, 3*p = 2*g - 7 for g.\n' | b'2\n' | b'Let z = 103 + -101. Solve -4*p + z*p = 2, 3*p = 2*g - 7 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let t(x) be the first derivative of x**2 - x + 9. Give t(6).\n' | b'11\n' | b'Let t(x) be the first derivative of x**2 - x + 9. Give t(6).\n' | b'11\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.