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'Let g(l) = l**3 - l - 513. Let f be g(0). Let w be f/(-76) + (-3)/4. Solve 5*m + w - 23 = 3*h, 0 = -5*h - 5*m + 25 for h.\n' | b'1\n' | b'Let g(l) = l**3 - l - 513. Let f be g(0). Let w be f/(-76) + (-3)/4. Solve 5*m + w - 23 = 3*h, 0 = -5*h - 5*m + 25 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -8*b - 70 = -174. Suppose -5*c = -11 - 9. What is the derivative of b*z**2 - 7 - 4 + c wrt z?\n' | b'26*z\n' | b'Suppose -8*b - 70 = -174. Suppose -5*c = -11 - 9. What is the derivative of b*z**2 - 7 - 4 + c wrt z?\n' | b'26*z\n' | deepmind/math_dataset |
b'Simplify ((g**(-4)*g/(g*g**(2/5)*g))/((g/(g*g/(g*g*g/(g**(3/2)/g))))/g**(-2/5)))/(g**(-1)*g**(-1/4))**6 assuming g is positive.\n' | b'g**(1/5)\n' | b'Simplify ((g**(-4)*g/(g*g**(2/5)*g))/((g/(g*g/(g*g*g/(g**(3/2)/g))))/g**(-2/5)))/(g**(-1)*g**(-1/4))**6 assuming g is positive.\n' | b'g**(1/5)\n' | deepmind/math_dataset |
b'Let k(x) = -x + 11. Let h be ((-18)/(-10))/(4*(-3)/(-60)). Let m be k(h). Solve 3 = -z - 2*d + 9, -5*d + 17 = m*z for z.\n' | b'-4\n' | b'Let k(x) = -x + 11. Let h be ((-18)/(-10))/(4*(-3)/(-60)). Let m be k(h). Solve 3 = -z - 2*d + 9, -5*d + 17 = m*z for z.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence flg when three letters picked without replacement from {e: 4, f: 1, l: 1, u: 1, g: 1}?\n' | b'1/336\n' | b'What is prob of sequence flg when three letters picked without replacement from {e: 4, f: 1, l: 1, u: 1, g: 1}?\n' | b'1/336\n' | deepmind/math_dataset |
b'Simplify ((a**(1/2))**(3/20)*(a**(-2)*a*a)**(15/8))/((a**3)**(-4/17))**(-1/67) assuming a is positive.\n' | b'a**(2937/45560)\n' | b'Simplify ((a**(1/2))**(3/20)*(a**(-2)*a*a)**(15/8))/((a**3)**(-4/17))**(-1/67) assuming a is positive.\n' | b'a**(2937/45560)\n' | deepmind/math_dataset |
b'Let v(u) be the first derivative of 149*u**5/5 - u**4/2 - 113*u**3/3 + 1116. Find the third derivative of v(j) wrt j.\n' | b'3576*j - 12\n' | b'Let v(u) be the first derivative of 149*u**5/5 - u**4/2 - 113*u**3/3 + 1116. Find the third derivative of v(j) wrt j.\n' | b'3576*j - 12\n' | deepmind/math_dataset |
b'Let l = 71 + -71. Let y(b) = -b**2 + 4*b. Let d be y(4). Solve 5*m - 30 = 3*t, -4*m + d*t + 3*t + 27 = l for m.\n' | b'3\n' | b'Let l = 71 + -71. Let y(b) = -b**2 + 4*b. Let d be y(4). Solve 5*m - 30 = 3*t, -4*m + d*t + 3*t + 27 = l for m.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify m**(1/7)/m**(2/7)*(m*m**(-1)*m)**(1/17) assuming m is positive.\n' | b'm**(-10/119)\n' | b'Simplify m**(1/7)/m**(2/7)*(m*m**(-1)*m)**(1/17) assuming m is positive.\n' | b'm**(-10/119)\n' | deepmind/math_dataset |
b'Simplify ((p**6*p)/(p*p**(3/4)*p))/(((p/p**(-2/15))/p)/(p/p**(-4/5))) assuming p is positive.\n' | b'p**(71/12)\n' | b'Simplify ((p**6*p)/(p*p**(3/4)*p))/(((p/p**(-2/15))/p)/(p/p**(-4/5))) assuming p is positive.\n' | b'p**(71/12)\n' | deepmind/math_dataset |
b'Suppose 0 = i + 1 - 4. Let t(k) = 2*k**3 + 2*k. Let j(v) = -3 + 3 - v**3 - 2*v. Let s(z) = i*j(z) + 2*t(z). What is the second derivative of s(c) wrt c?\n' | b'6*c\n' | b'Suppose 0 = i + 1 - 4. Let t(k) = 2*k**3 + 2*k. Let j(v) = -3 + 3 - v**3 - 2*v. Let s(z) = i*j(z) + 2*t(z). What is the second derivative of s(c) wrt c?\n' | b'6*c\n' | deepmind/math_dataset |
b'Calculate prob of sequence nus when three letters picked without replacement from {c: 4, r: 3, s: 3, u: 1, n: 2, p: 2}.\n' | b'1/455\n' | b'Calculate prob of sequence nus when three letters picked without replacement from {c: 4, r: 3, s: 3, u: 1, n: 2, p: 2}.\n' | b'1/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fffffufufffffu. Give prob of picking 3 u.\n' | b'1/364\n' | b'Three letters picked without replacement from fffffufufffffu. Give prob of picking 3 u.\n' | b'1/364\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, c: 1, g: 1, s: 1, a: 4, j: 3}. Give prob of picking 1 j, 1 a, 1 g, and 1 c.\n' | b'4/165\n' | b'Four letters picked without replacement from {f: 2, c: 1, g: 1, s: 1, a: 4, j: 3}. Give prob of picking 1 j, 1 a, 1 g, and 1 c.\n' | b'4/165\n' | deepmind/math_dataset |
b'What is prob of sequence hha when three letters picked without replacement from ahoskaaschch?\n' | b'3/220\n' | b'What is prob of sequence hha when three letters picked without replacement from ahoskaaschch?\n' | b'3/220\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ruuzvqavvzruzzz. Give prob of sequence zrq.\n' | b'1/273\n' | b'Three letters picked without replacement from ruuzvqavvzruzzz. Give prob of sequence zrq.\n' | b'1/273\n' | deepmind/math_dataset |
b'Let t = -127 + 565. What is the derivative of 438*g - 6*g**2 - 2 - t*g wrt g?\n' | b'-12*g\n' | b'Let t = -127 + 565. What is the derivative of 438*g - 6*g**2 - 2 - t*g wrt g?\n' | b'-12*g\n' | deepmind/math_dataset |
b'Let f(k) = -k**2 + 20*k - 47. Let x be f(17). Solve 0 = 7*w - 6*w - 5*d - 14, -x*w - d - 7 = 0 for w.\n' | b'-1\n' | b'Let f(k) = -k**2 + 20*k - 47. Let x be f(17). Solve 0 = 7*w - 6*w - 5*d - 14, -x*w - d - 7 = 0 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -4*u = -12, 5*j = -5*u - 10 + 80. Find the third derivative of -10*m - 41*m**6 - j*m + 21*m + 41*m**2 wrt m.\n' | b'-4920*m**3\n' | b'Suppose -4*u = -12, 5*j = -5*u - 10 + 80. Find the third derivative of -10*m - 41*m**6 - j*m + 21*m + 41*m**2 wrt m.\n' | b'-4920*m**3\n' | deepmind/math_dataset |
b'Suppose -l - 2 = 5*h, 0*l - h = -l - 8. Let d(u) = u**2 + 7*u + 8. Determine d(l).\n' | b'8\n' | b'Suppose -l - 2 = 5*h, 0*l - h = -l - 8. Let d(u) = u**2 + 7*u + 8. Determine d(l).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of sequence edyk when four letters picked without replacement from {k: 5, y: 1, d: 6, e: 7}.\n' | b'35/15504\n' | b'Calculate prob of sequence edyk when four letters picked without replacement from {k: 5, y: 1, d: 6, e: 7}.\n' | b'35/15504\n' | deepmind/math_dataset |
b'Simplify (i**3/(i**(-2/9)*i))/((i*i/i**7*i*i)/(i/(i/(i/(i/i**(1/2)))))) assuming i is positive.\n' | b'i**(103/18)\n' | b'Simplify (i**3/(i**(-2/9)*i))/((i*i/i**7*i*i)/(i/(i/(i/(i/i**(1/2)))))) assuming i is positive.\n' | b'i**(103/18)\n' | deepmind/math_dataset |
b'Suppose 265 = 18*h - 59. Suppose -2*v + 22 - h = 0. Solve v*r + 3*c - 16 = 3*r, 4*c - 36 = 5*r for r.\n' | b'-4\n' | b'Suppose 265 = 18*h - 59. Suppose -2*v + 22 - h = 0. Solve v*r + 3*c - 16 = 3*r, 4*c - 36 = 5*r for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((s/((s*s**(-1))/s))**(1/23))**(-1/5) assuming s is positive.\n' | b's**(-2/115)\n' | b'Simplify ((s/((s*s**(-1))/s))**(1/23))**(-1/5) assuming s is positive.\n' | b's**(-2/115)\n' | deepmind/math_dataset |
b'Simplify (x*x**(2/7))/x*x**(-7)/x*(((x*x**(1/8)/x)/x*x)/x)/x**(1/2) assuming x is positive.\n' | b'x**(-509/56)\n' | b'Simplify (x*x**(2/7))/x*x**(-7)/x*(((x*x**(1/8)/x)/x*x)/x)/x**(1/2) assuming x is positive.\n' | b'x**(-509/56)\n' | deepmind/math_dataset |
b'Differentiate -206*j**4 - 37540*j**2 - 1455 + 75074*j**2 - 37534*j**2 wrt j.\n' | b'-824*j**3\n' | b'Differentiate -206*j**4 - 37540*j**2 - 1455 + 75074*j**2 - 37534*j**2 wrt j.\n' | b'-824*j**3\n' | deepmind/math_dataset |
b'Simplify o**(-17)*o*o*o**(-14)*o assuming o is positive.\n' | b'o**(-28)\n' | b'Simplify o**(-17)*o*o*o**(-14)*o assuming o is positive.\n' | b'o**(-28)\n' | deepmind/math_dataset |
b'Let y be (8 + -10)*1/(-2) + 2. Solve -2*h - v = -3*v - 12, 4*h - 20 = y*v for h.\n' | b'2\n' | b'Let y be (8 + -10)*1/(-2) + 2. Solve -2*h - v = -3*v - 12, 4*h - 20 = y*v for h.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3, d: 1, o: 4, j: 2, m: 3, a: 4}. Give prob of picking 1 j and 1 m.\n' | b'3/68\n' | b'Two letters picked without replacement from {p: 3, d: 1, o: 4, j: 2, m: 3, a: 4}. Give prob of picking 1 j and 1 m.\n' | b'3/68\n' | deepmind/math_dataset |
b'Simplify (i/(i*(i*i/(i/i**(1/7)))/i*i)*i**(1/3))/((i/(i/i**0*i))/i)**(-6/5) assuming i is positive.\n' | b'i**(-337/105)\n' | b'Simplify (i/(i*(i*i/(i/i**(1/7)))/i*i)*i**(1/3))/((i/(i/i**0*i))/i)**(-6/5) assuming i is positive.\n' | b'i**(-337/105)\n' | deepmind/math_dataset |
b'Simplify ((a**2/a)/((a/(a/a**(4/5))*a)/a*a)*(a**(-1/4)/a*a*a)**8)/((a**5)**(3/10))**(-38) assuming a is positive.\n' | b'a**(311/5)\n' | b'Simplify ((a**2/a)/((a/(a/a**(4/5))*a)/a*a)*(a**(-1/4)/a*a*a)**8)/((a**5)**(3/10))**(-38) assuming a is positive.\n' | b'a**(311/5)\n' | deepmind/math_dataset |
b'Let y(j) be the first derivative of -9*j**4/4 - 7*j**2 - 5. Find the second derivative of y(p) wrt p.\n' | b'-54*p\n' | b'Let y(j) be the first derivative of -9*j**4/4 - 7*j**2 - 5. Find the second derivative of y(p) wrt p.\n' | b'-54*p\n' | deepmind/math_dataset |
b'Let y(d) = d**3 - 31*d**2 + 56*d + 55. Let o be (-642 - -439)*(8/(-7) - -1). Calculate y(o).\n' | b'-3\n' | b'Let y(d) = d**3 - 31*d**2 + 56*d + 55. Let o be (-642 - -439)*(8/(-7) - -1). Calculate y(o).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fffasan. Give prob of sequence fn.\n' | b'1/14\n' | b'Two letters picked without replacement from fffasan. Give prob of sequence fn.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let f(r) = 3*r**2 + 4*r - 4. Let p be f(2). Solve -4*g + p = 2*c - 7*c, 0 = -3*c for g.\n' | b'4\n' | b'Let f(r) = 3*r**2 + 4*r - 4. Let p be f(2). Solve -4*g + p = 2*c - 7*c, 0 = -3*c for g.\n' | b'4\n' | deepmind/math_dataset |
b'Let r(o) be the third derivative of -o**7/70 + 7*o**3/6 - 6*o**2. Differentiate r(x) with respect to x.\n' | b'-12*x**3\n' | b'Let r(o) be the third derivative of -o**7/70 + 7*o**3/6 - 6*o**2. Differentiate r(x) with respect to x.\n' | b'-12*x**3\n' | deepmind/math_dataset |
b'Let p be ((-9)/(-6))/(6/8). Find the third derivative of 13 + 3*t**p + 2*t**5 - 13 wrt t.\n' | b'120*t**2\n' | b'Let p be ((-9)/(-6))/(6/8). Find the third derivative of 13 + 3*t**p + 2*t**5 - 13 wrt t.\n' | b'120*t**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 17, n: 2}. Give prob of picking 2 p.\n' | b'136/171\n' | b'Two letters picked without replacement from {p: 17, n: 2}. Give prob of picking 2 p.\n' | b'136/171\n' | deepmind/math_dataset |
b'What is prob of sequence bs when two letters picked without replacement from {b: 1, s: 14}?\n' | b'1/15\n' | b'What is prob of sequence bs when two letters picked without replacement from {b: 1, s: 14}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 9, f: 11}. Give prob of sequence ifi.\n' | b'11/95\n' | b'Three letters picked without replacement from {i: 9, f: 11}. Give prob of sequence ifi.\n' | b'11/95\n' | deepmind/math_dataset |
b'What is prob of picking 1 n, 1 l, and 1 u when three letters picked without replacement from {l: 6, e: 1, n: 2, p: 10, u: 1}?\n' | b'1/95\n' | b'What is prob of picking 1 n, 1 l, and 1 u when three letters picked without replacement from {l: 6, e: 1, n: 2, p: 10, u: 1}?\n' | b'1/95\n' | deepmind/math_dataset |
b'Suppose 3567*h - 3588*h + 903 = 0. Solve h*y = 46*y - z - 14, -2*y + 9 = -z for y.\n' | b'5\n' | b'Suppose 3567*h - 3588*h + 903 = 0. Solve h*y = 46*y - z - 14, -2*y + 9 = -z for y.\n' | b'5\n' | deepmind/math_dataset |
b'Let w(g) = -3*g**2 - 15*g - 13. Let m(l) = -l**2 - 7*l - 6. Let f(c) = 13*m(c) - 6*w(c). Let t be f(-1). Let x(q) = -q**2 + t + 1 - 2*q - 4. Calculate x(2).\n' | b'-5\n' | b'Let w(g) = -3*g**2 - 15*g - 13. Let m(l) = -l**2 - 7*l - 6. Let f(c) = 13*m(c) - 6*w(c). Let t be f(-1). Let x(q) = -q**2 + t + 1 - 2*q - 4. Calculate x(2).\n' | b'-5\n' | deepmind/math_dataset |
b'Let k(u) = u**2 - 16*u + 2. Let b be k(16). Let r(f) be the first derivative of -2*f**3/3 - f**2 + 3*f - 876. Calculate r(b).\n' | b'-9\n' | b'Let k(u) = u**2 - 16*u + 2. Let b be k(16). Let r(f) be the first derivative of -2*f**3/3 - f**2 + 3*f - 876. Calculate r(b).\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 3 g when four letters picked without replacement from hhgggg.\n' | b'8/15\n' | b'Calculate prob of picking 1 h and 3 g when four letters picked without replacement from hhgggg.\n' | b'8/15\n' | deepmind/math_dataset |
b'Simplify (b/b**(5/9))/b**(-3/5)*b**(-3/11)*(((b**(1/16)/b)/b)/b)/b assuming b is positive.\n' | b'b**(-25073/7920)\n' | b'Simplify (b/b**(5/9))/b**(-3/5)*b**(-3/11)*(((b**(1/16)/b)/b)/b)/b assuming b is positive.\n' | b'b**(-25073/7920)\n' | deepmind/math_dataset |
b'Simplify f**3*(f/((f/((f*f/(f/f**(-1)))/f))/f))/f*f*((f**(2/13)*f)/f)**(-31) assuming f is positive.\n' | b'f**(-23/13)\n' | b'Simplify f**3*(f/((f/((f*f/(f/f**(-1)))/f))/f))/f*f*((f**(2/13)*f)/f)**(-31) assuming f is positive.\n' | b'f**(-23/13)\n' | deepmind/math_dataset |
b'Simplify ((g**(-3/10)*g**19)**(-28))**(27/4) assuming g is positive.\n' | b'g**(-35343/10)\n' | b'Simplify ((g**(-3/10)*g**19)**(-28))**(27/4) assuming g is positive.\n' | b'g**(-35343/10)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pvxcdvxw. What is prob of picking 2 x and 1 v?\n' | b'1/28\n' | b'Three letters picked without replacement from pvxcdvxw. What is prob of picking 2 x and 1 v?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let f(m) be the second derivative of -533*m**4/12 - 22*m**3/3 - 3*m**2/2 - 3*m - 12. Find the second derivative of f(d) wrt d.\n' | b'-1066\n' | b'Let f(m) be the second derivative of -533*m**4/12 - 22*m**3/3 - 3*m**2/2 - 3*m - 12. Find the second derivative of f(d) wrt d.\n' | b'-1066\n' | deepmind/math_dataset |
b'Let k(v) = 38*v + 40. Let w(b) = 39*b + 41. Let m(r) = -2*k(r) + 3*w(r). What is the first derivative of m(a) wrt a?\n' | b'41\n' | b'Let k(v) = 38*v + 40. Let w(b) = 39*b + 41. Let m(r) = -2*k(r) + 3*w(r). What is the first derivative of m(a) wrt a?\n' | b'41\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 2, g: 2, x: 10, v: 1, m: 5}. What is prob of sequence mvxg?\n' | b'5/5814\n' | b'Four letters picked without replacement from {z: 2, g: 2, x: 10, v: 1, m: 5}. What is prob of sequence mvxg?\n' | b'5/5814\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 1 m when two letters picked without replacement from pmzmimr?\n' | b'1/7\n' | b'What is prob of picking 1 i and 1 m when two letters picked without replacement from pmzmimr?\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify (o**(-10/9))**(-39) assuming o is positive.\n' | b'o**(130/3)\n' | b'Simplify (o**(-10/9))**(-39) assuming o is positive.\n' | b'o**(130/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from edepedd. Give prob of sequence dddp.\n' | b'1/140\n' | b'Four letters picked without replacement from edepedd. Give prob of sequence dddp.\n' | b'1/140\n' | deepmind/math_dataset |
b'Let n(h) be the third derivative of 211/60*h**5 - 121/24*h**4 + 0*h**3 + 2*h**2 - 62*h + 0. Find the second derivative of n(b) wrt b.\n' | b'422\n' | b'Let n(h) be the third derivative of 211/60*h**5 - 121/24*h**4 + 0*h**3 + 2*h**2 - 62*h + 0. Find the second derivative of n(b) wrt b.\n' | b'422\n' | deepmind/math_dataset |
b'Let p(x) = -9*x**4 + 3*x**3 + 3*x**2 - 3*x - 1. Let f(a) = -a**4 - a**3 - a**2 + a + 1. Let m(n) = -3*f(n) - p(n). Differentiate m(h) wrt h.\n' | b'48*h**3\n' | b'Let p(x) = -9*x**4 + 3*x**3 + 3*x**2 - 3*x - 1. Let f(a) = -a**4 - a**3 - a**2 + a + 1. Let m(n) = -3*f(n) - p(n). Differentiate m(h) wrt h.\n' | b'48*h**3\n' | deepmind/math_dataset |
b'Let c(p) be the third derivative of -p**9/504 + 263*p**8/168 - 188*p**5/5 - 5*p**2 - 5. What is the third derivative of c(z) wrt z?\n' | b'-120*z**3 + 31560*z**2\n' | b'Let c(p) be the third derivative of -p**9/504 + 263*p**8/168 - 188*p**5/5 - 5*p**2 - 5. What is the third derivative of c(z) wrt z?\n' | b'-120*z**3 + 31560*z**2\n' | deepmind/math_dataset |
b'Let c(l) be the first derivative of -l**4/4 + 10*l**3/3 - l**2 + 22*l + 28. Let f be c(10). Solve 5*u - 2 = -2*d, u + f*u = 0 for d.\n' | b'1\n' | b'Let c(l) be the first derivative of -l**4/4 + 10*l**3/3 - l**2 + 22*l + 28. Let f be c(10). Solve 5*u - 2 = -2*d, u + f*u = 0 for d.\n' | b'1\n' | deepmind/math_dataset |
b'Let p(h) be the third derivative of h**5/30 - 4*h**4/3 + h**3 + 113*h**2 - 21. Calculate p(15).\n' | b'-24\n' | b'Let p(h) be the third derivative of h**5/30 - 4*h**4/3 + h**3 + 113*h**2 - 21. Calculate p(15).\n' | b'-24\n' | deepmind/math_dataset |
b'Simplify (s**(-3/11)*s)/(s/(s/(s/s**15)))*(s**(4/3))**(2/11) assuming s is positive.\n' | b's**(494/33)\n' | b'Simplify (s**(-3/11)*s)/(s/(s/(s/s**15)))*(s**(4/3))**(2/11) assuming s is positive.\n' | b's**(494/33)\n' | deepmind/math_dataset |
b'Let n(y) be the second derivative of y**8/84 - y**4/6 + y**2/2 + y. Let f(x) be the first derivative of n(x). What is the second derivative of f(c) wrt c?\n' | b'80*c**3\n' | b'Let n(y) be the second derivative of y**8/84 - y**4/6 + y**2/2 + y. Let f(x) be the first derivative of n(x). What is the second derivative of f(c) wrt c?\n' | b'80*c**3\n' | deepmind/math_dataset |
b'Suppose 48 = -3*n + 453. What is the first derivative of -11*u**3 - 84 + n - 75 wrt u?\n' | b'-33*u**2\n' | b'Suppose 48 = -3*n + 453. What is the first derivative of -11*u**3 - 84 + n - 75 wrt u?\n' | b'-33*u**2\n' | deepmind/math_dataset |
b'Let l(n) = 11*n**3 + 24*n**2 - 3*n + 2. Let q(k) = -5*k**3 - 11*k**2 + k - 1. Let p(z) = 4*l(z) + 9*q(z). Give p(-2).\n' | b'1\n' | b'Let l(n) = 11*n**3 + 24*n**2 - 3*n + 2. Let q(k) = -5*k**3 - 11*k**2 + k - 1. Let p(z) = 4*l(z) + 9*q(z). Give p(-2).\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 3, h: 13}. What is prob of picking 1 f and 3 h?\n' | b'33/70\n' | b'Four letters picked without replacement from {f: 3, h: 13}. What is prob of picking 1 f and 3 h?\n' | b'33/70\n' | deepmind/math_dataset |
b'What is prob of sequence hph when three letters picked without replacement from phppxhhpxhp?\n' | b'2/33\n' | b'What is prob of sequence hph when three letters picked without replacement from phppxhhpxhp?\n' | b'2/33\n' | deepmind/math_dataset |
b'Simplify (j**(1/2)/(j*j**(-1/5)))/(j**(-2/9)*j)**(-33) assuming j is positive.\n' | b'j**(761/30)\n' | b'Simplify (j**(1/2)/(j*j**(-1/5)))/(j**(-2/9)*j)**(-33) assuming j is positive.\n' | b'j**(761/30)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mcmjzhl. Give prob of picking 1 z, 1 m, and 1 c.\n' | b'2/35\n' | b'Three letters picked without replacement from mcmjzhl. Give prob of picking 1 z, 1 m, and 1 c.\n' | b'2/35\n' | deepmind/math_dataset |
b'Let r be (-12)/54 - (-40)/18. Find the third derivative of -4*h**4 - 2*h**4 - 59*h**2 + 39*h**r wrt h.\n' | b'-144*h\n' | b'Let r be (-12)/54 - (-40)/18. Find the third derivative of -4*h**4 - 2*h**4 - 59*h**2 + 39*h**r wrt h.\n' | b'-144*h\n' | deepmind/math_dataset |
b'Simplify ((c/(c/(c*c**(-5))))/c**(2/19))/(c**(1/8)/(c**5*c)) assuming c is positive.\n' | b'c**(269/152)\n' | b'Simplify ((c/(c/(c*c**(-5))))/c**(2/19))/(c**(1/8)/(c**5*c)) assuming c is positive.\n' | b'c**(269/152)\n' | deepmind/math_dataset |
b'Let z(p) be the third derivative of p**4/24 - p**3/3 + 3*p**2. Let y be z(6). Solve -o + 2 = 5*r, 2*o + 2*r - y = -r for o.\n' | b'2\n' | b'Let z(p) be the third derivative of p**4/24 - p**3/3 + 3*p**2. Let y be z(6). Solve -o + 2 = 5*r, 2*o + 2*r - y = -r for o.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kfkkqkfdflfk. What is prob of picking 1 l and 1 f?\n' | b'2/33\n' | b'Two letters picked without replacement from kfkkqkfdflfk. What is prob of picking 1 l and 1 f?\n' | b'2/33\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhchcscchh. What is prob of picking 3 c and 1 h?\n' | b'2/21\n' | b'Four letters picked without replacement from hhchcscchh. What is prob of picking 3 c and 1 h?\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify (((h*h/h**(-3)*h)/h*h)/h*h/(h/h**(-1)*h))**40 assuming h is positive.\n' | b'h**120\n' | b'Simplify (((h*h/h**(-3)*h)/h*h)/h*h/(h/h**(-1)*h))**40 assuming h is positive.\n' | b'h**120\n' | deepmind/math_dataset |
b'What is the second derivative of 165*l**3 - 47*l**3 - 132*l + 188*l**3 wrt l?\n' | b'1836*l\n' | b'What is the second derivative of 165*l**3 - 47*l**3 - 132*l + 188*l**3 wrt l?\n' | b'1836*l\n' | deepmind/math_dataset |
b'Simplify (a**3/(a*a**(-2/5)*a))/(a**(-1/4))**(-44) assuming a is positive.\n' | b'a**(-48/5)\n' | b'Simplify (a**3/(a*a**(-2/5)*a))/(a**(-1/4))**(-44) assuming a is positive.\n' | b'a**(-48/5)\n' | deepmind/math_dataset |
b'Suppose -o - 2 = 4*a + 1, -2*a + 3 = 5*o. Let m = 3 + o. Solve -6*k = -m*l - k + 36, 0 = -3*k - 12 for l.\n' | b'4\n' | b'Suppose -o - 2 = 4*a + 1, -2*a + 3 = 5*o. Let m = 3 + o. Solve -6*k = -m*l - k + 36, 0 = -3*k - 12 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zaxrnzazxz. Give prob of sequence xr.\n' | b'1/45\n' | b'Two letters picked without replacement from zaxrnzazxz. Give prob of sequence xr.\n' | b'1/45\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zvlzzllzzvzzlzl. Give prob of sequence zzv.\n' | b'8/195\n' | b'Three letters picked without replacement from zvlzzllzzvzzlzl. Give prob of sequence zzv.\n' | b'8/195\n' | deepmind/math_dataset |
b'What is prob of sequence rdrs when four letters picked without replacement from {s: 2, r: 5, d: 5}?\n' | b'5/297\n' | b'What is prob of sequence rdrs when four letters picked without replacement from {s: 2, r: 5, d: 5}?\n' | b'5/297\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jmmo. Give prob of sequence mo.\n' | b'1/6\n' | b'Two letters picked without replacement from jmmo. Give prob of sequence mo.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 0 = 5*t - 7035 + 6970. Solve -n = -5*r + t, -1 = 2*n - 4*r + 13 for n.\n' | b'-3\n' | b'Suppose 0 = 5*t - 7035 + 6970. Solve -n = -5*r + t, -1 = 2*n - 4*r + 13 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (y*(y*y*y*y**(-1)*y)/y)/y*y*y*y**(-2/15)*y*(y/(y**(1/2)*y))**(-12) assuming y is positive.\n' | b'y**(163/15)\n' | b'Simplify (y*(y*y*y*y**(-1)*y)/y)/y*y*y*y**(-2/15)*y*(y/(y**(1/2)*y))**(-12) assuming y is positive.\n' | b'y**(163/15)\n' | deepmind/math_dataset |
b'Let c(u) = -u**2 + 58*u - 831. Let f be c(28). Solve 0 = 4*d + 3*p - 4, 3 = 3*d + f*p - 4*p for d.\n' | b'1\n' | b'Let c(u) = -u**2 + 58*u - 831. Let f be c(28). Solve 0 = 4*d + 3*p - 4, 3 = 3*d + f*p - 4*p for d.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 f, 2 u, and 1 p when four letters picked without replacement from {u: 4, e: 4, p: 1, f: 10}?\n' | b'5/323\n' | b'What is prob of picking 1 f, 2 u, and 1 p when four letters picked without replacement from {u: 4, e: 4, p: 1, f: 10}?\n' | b'5/323\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 2 m when three letters picked without replacement from {k: 1, y: 1, m: 2}.\n' | b'1/4\n' | b'Calculate prob of picking 1 k and 2 m when three letters picked without replacement from {k: 1, y: 1, m: 2}.\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of picking 2 p when two letters picked without replacement from {u: 5, p: 11}?\n' | b'11/24\n' | b'What is prob of picking 2 p when two letters picked without replacement from {u: 5, p: 11}?\n' | b'11/24\n' | deepmind/math_dataset |
b'Calculate prob of sequence ka when two letters picked without replacement from {k: 2, a: 7}.\n' | b'7/36\n' | b'Calculate prob of sequence ka when two letters picked without replacement from {k: 2, a: 7}.\n' | b'7/36\n' | deepmind/math_dataset |
b'Simplify ((t*t**2*t**(-6))**(-31))**(-45) assuming t is positive.\n' | b't**(-4185)\n' | b'Simplify ((t*t**2*t**(-6))**(-31))**(-45) assuming t is positive.\n' | b't**(-4185)\n' | deepmind/math_dataset |
b'Suppose 0 = -820*w + 822*w - 132. Suppose 5*x - w = 4*r, -19*r + 6 = -x - 23*r. Solve -4*y + x = 3*p, p + 5*y - 9 = 9 for p.\n' | b'-2\n' | b'Suppose 0 = -820*w + 822*w - 132. Suppose 5*x - w = 4*r, -19*r + 6 = -x - 23*r. Solve -4*y + x = 3*p, p + 5*y - 9 = 9 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 5, b: 4, v: 8}. Give prob of sequence cb.\n' | b'5/68\n' | b'Two letters picked without replacement from {c: 5, b: 4, v: 8}. Give prob of sequence cb.\n' | b'5/68\n' | deepmind/math_dataset |
b'Simplify (r**(-2/11)/r**(-3/2))**(-3/23)/(r/(r**(1/3)/r*r)*r**0*(((r/(r/(r*r**(2/19))))/r)/r)/r**2) assuming r is positive.\n' | b'r**(59303/28842)\n' | b'Simplify (r**(-2/11)/r**(-3/2))**(-3/23)/(r/(r**(1/3)/r*r)*r**0*(((r/(r/(r*r**(2/19))))/r)/r)/r**2) assuming r is positive.\n' | b'r**(59303/28842)\n' | deepmind/math_dataset |
b'Simplify ((q**(3/4)*q)/q)**(-11)*(q**(-2/35)/q)/((q*q*q/(q*q**(-18)*q)*q)/q*q) assuming q is positive.\n' | b'q**(-4103/140)\n' | b'Simplify ((q**(3/4)*q)/q)**(-11)*(q**(-2/35)/q)/((q*q*q/(q*q**(-18)*q)*q)/q*q) assuming q is positive.\n' | b'q**(-4103/140)\n' | deepmind/math_dataset |
b'Let q(p) = -48*p**4 - 39*p. Let v(r) = 6*r**4 + 5*r. Let x(d) = -4*q(d) - 33*v(d). Find the second derivative of x(z) wrt z.\n' | b'-72*z**2\n' | b'Let q(p) = -48*p**4 - 39*p. Let v(r) = 6*r**4 + 5*r. Let x(d) = -4*q(d) - 33*v(d). Find the second derivative of x(z) wrt z.\n' | b'-72*z**2\n' | deepmind/math_dataset |
b'Suppose -2*c + 3*c - 4 = 0. Solve 0 = -2*j - j - 3*z, 0 = -5*j + c*z for j.\n' | b'0\n' | b'Suppose -2*c + 3*c - 4 = 0. Solve 0 = -2*j - j - 3*z, 0 = -5*j + c*z for j.\n' | b'0\n' | deepmind/math_dataset |
b'Let x(h) = h - 13. Let g be x(19). Solve g = -2*u, -4*u - 15 = i + u for i.\n' | b'0\n' | b'Let x(h) = h - 13. Let g be x(19). Solve g = -2*u, -4*u - 15 = i + u for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let b(z) be the third derivative of z**8/112 - 1913*z**7/210 + 8*z**5/3 + 4*z**4/3 + 9058*z**2. Find the third derivative of b(r) wrt r.\n' | b'180*r**2 - 45912*r\n' | b'Let b(z) be the third derivative of z**8/112 - 1913*z**7/210 + 8*z**5/3 + 4*z**4/3 + 9058*z**2. Find the third derivative of b(r) wrt r.\n' | b'180*r**2 - 45912*r\n' | deepmind/math_dataset |
b'What is prob of picking 1 s, 1 h, and 1 i when three letters picked without replacement from bbbbibuhboishbb?\n' | b'4/455\n' | b'What is prob of picking 1 s, 1 h, and 1 i when three letters picked without replacement from bbbbibuhboishbb?\n' | b'4/455\n' | deepmind/math_dataset |
b'Simplify (((y*y*y**(-3/10)/y*y)/(y*y**(-1/9)))/(y**(-6)/(y**5*y)))**(-5/11) assuming y is positive.\n' | b'y**(-1153/198)\n' | b'Simplify (((y*y*y**(-3/10)/y*y)/(y*y**(-1/9)))/(y**(-6)/(y**5*y)))**(-5/11) assuming y is positive.\n' | b'y**(-1153/198)\n' | deepmind/math_dataset |
b'Let b(j) be the third derivative of 1/24*j**4 - 1/2*j**3 + 3*j**2 + 0 + 0*j. Let k(x) = x**3 + 3*x**2 - 7*x - 7. Let m be k(-4). Give b(m).\n' | b'2\n' | b'Let b(j) be the third derivative of 1/24*j**4 - 1/2*j**3 + 3*j**2 + 0 + 0*j. Let k(x) = x**3 + 3*x**2 - 7*x - 7. Let m be k(-4). Give b(m).\n' | b'2\n' | deepmind/math_dataset |
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