question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'What is prob of picking 1 q and 1 g when two letters picked without replacement from gccgqcgggc?\n' | b'1/9\n' | b'What is prob of picking 1 q and 1 g when two letters picked without replacement from gccgqcgggc?\n' | b'1/9\n' | deepmind/math_dataset |
b'Let z be (-40)/25*5/1. Let i(b) = 2*b + 25. Let a be i(z). Suppose -2*j + 5 = a. Let w(v) = -v**3 - v**2 + 2*v + 2. Give w(j).\n' | b'2\n' | b'Let z be (-40)/25*5/1. Let i(b) = 2*b + 25. Let a be i(z). Suppose -2*j + 5 = a. Let w(v) = -v**3 - v**2 + 2*v + 2. Give w(j).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((s**(-1/3)/s)**(-6))**(2/29) assuming s is positive.\n' | b's**(16/29)\n' | b'Simplify ((s**(-1/3)/s)**(-6))**(2/29) assuming s is positive.\n' | b's**(16/29)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zxzzzgzvvwyxvvw. Give prob of sequence wy.\n' | b'1/105\n' | b'Two letters picked without replacement from zxzzzgzvvwyxvvw. Give prob of sequence wy.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let m(i) = -4*i**3 - 4*i**2 + 4*i + 4. Let b(l) = -l**3 + l. Let f be (-42)/6 + 1*2. Let w(d) = f*b(d) + m(d). Determine w(3).\n' | b'-8\n' | b'Let m(i) = -4*i**3 - 4*i**2 + 4*i + 4. Let b(l) = -l**3 + l. Let f be (-42)/6 + 1*2. Let w(d) = f*b(d) + m(d). Determine w(3).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence aydg when four letters picked without replacement from dyddyydgyyyydadddy.\n' | b'2/2295\n' | b'Calculate prob of sequence aydg when four letters picked without replacement from dyddyydgyyyydadddy.\n' | b'2/2295\n' | deepmind/math_dataset |
b'Simplify ((((t**0/t)/t)**48*t**(-6)*t**(2/5)*t)**(1/22))**38 assuming t is positive.\n' | b't**(-9557/55)\n' | b'Simplify ((((t**0/t)/t)**48*t**(-6)*t**(2/5)*t)**(1/22))**38 assuming t is positive.\n' | b't**(-9557/55)\n' | deepmind/math_dataset |
b'Let p(g) = g**2 - 9*g - 12. Suppose 4*n - 4 = 0, 0 = -12*c + 13*c + n + 9. Let t be (-192)/190*c + (-4)/38. Calculate p(t).\n' | b'-2\n' | b'Let p(g) = g**2 - 9*g - 12. Suppose 4*n - 4 = 0, 0 = -12*c + 13*c + n + 9. Let t be (-192)/190*c + (-4)/38. Calculate p(t).\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 9, p: 2}. What is prob of sequence aaaa?\n' | b'21/55\n' | b'Four letters picked without replacement from {a: 9, p: 2}. What is prob of sequence aaaa?\n' | b'21/55\n' | deepmind/math_dataset |
b'Simplify ((c**8*c**(1/10)*c)/(c**(-2)*(c*c/(c*(c/c**(-2/11))/c)*c)/c))**(-15) assuming c is positive.\n' | b'c**(-3393/22)\n' | b'Simplify ((c**8*c**(1/10)*c)/(c**(-2)*(c*c/(c*(c/c**(-2/11))/c)*c)/c))**(-15) assuming c is positive.\n' | b'c**(-3393/22)\n' | deepmind/math_dataset |
b'Simplify ((k/(k*k/(k*k*k*k**(-10))*k))**(33/7)*k**(-2/13)/k**(-10/9))**26 assuming k is positive.\n' | b'k**(-67930/63)\n' | b'Simplify ((k/(k*k/(k*k*k*k**(-10))*k))**(33/7)*k**(-2/13)/k**(-10/9))**26 assuming k is positive.\n' | b'k**(-67930/63)\n' | deepmind/math_dataset |
b'Let l(q) be the first derivative of -q**5/60 - 5*q**4/24 - 2*q**2 + 5. Let v(s) be the second derivative of l(s). What is the second derivative of v(z) wrt z?\n' | b'-2\n' | b'Let l(q) be the first derivative of -q**5/60 - 5*q**4/24 - 2*q**2 + 5. Let v(s) be the second derivative of l(s). What is the second derivative of v(z) wrt z?\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, l: 1, n: 1, o: 2}. Give prob of picking 2 o.\n' | b'1/15\n' | b'Two letters picked without replacement from {m: 2, l: 1, n: 1, o: 2}. Give prob of picking 2 o.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let q be -1*(-1 - -2)*-8. Suppose -q = -3*y - 2. Let t be (-1)/(6/8 + -1). Solve 2*z - 3*z = -2*n + t, -z + 12 = y*n for n.\n' | b'4\n' | b'Let q be -1*(-1 - -2)*-8. Suppose -q = -3*y - 2. Let t be (-1)/(6/8 + -1). Solve 2*z - 3*z = -2*n + t, -z + 12 = y*n for n.\n' | b'4\n' | deepmind/math_dataset |
b'Let p be 32/2 - (47 - 37). Let f(t) = 8*t + 11. What is f(p)?\n' | b'59\n' | b'Let p be 32/2 - (47 - 37). Let f(t) = 8*t + 11. What is f(p)?\n' | b'59\n' | deepmind/math_dataset |
b'Suppose 2*j = 5*j. Let u be j + 0 + (-5)/(-1). Let t(n) = 5*n + 2. Let g be t(4). Solve 3*i = u*b - g, -5*b + 5*i + 22 = -4*b for b.\n' | b'2\n' | b'Suppose 2*j = 5*j. Let u be j + 0 + (-5)/(-1). Let t(n) = 5*n + 2. Let g be t(4). Solve 3*i = u*b - g, -5*b + 5*i + 22 = -4*b for b.\n' | b'2\n' | deepmind/math_dataset |
b'Let o = 1 + 1. Let i(x) = 6*x - 1. Let a(y) = 13*y - 3. Let w(b) = o*a(b) - 5*i(b). Let u(f) = 9*f + 3. Let d(k) = -2*u(k) - 5*w(k). Differentiate d(r) wrt r.\n' | b'2\n' | b'Let o = 1 + 1. Let i(x) = 6*x - 1. Let a(y) = 13*y - 3. Let w(b) = o*a(b) - 5*i(b). Let u(f) = 9*f + 3. Let d(k) = -2*u(k) - 5*w(k). Differentiate d(r) wrt r.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(x) be the third derivative of 5*x**4/24 - 20*x**3/3 + 693*x**2 + 1. Calculate i(0).\n' | b'-40\n' | b'Let i(x) be the third derivative of 5*x**4/24 - 20*x**3/3 + 693*x**2 + 1. Calculate i(0).\n' | b'-40\n' | deepmind/math_dataset |
b'Simplify l/(l/(l**1/l))*l*l**(7/2)*l**(-2/17)*(l/l**(-2/15))/l assuming l is positive.\n' | b'l**(2303/510)\n' | b'Simplify l/(l/(l**1/l))*l*l**(7/2)*l**(-2/17)*(l/l**(-2/15))/l assuming l is positive.\n' | b'l**(2303/510)\n' | deepmind/math_dataset |
b'Let u(w) = w**2 + 3*w + 4. Let c be u(-3). Find the third derivative of -3*d**6 + 8*d**4 + 3*d**2 - 8*d**c + 7*d**6 wrt d.\n' | b'480*d**3\n' | b'Let u(w) = w**2 + 3*w + 4. Let c be u(-3). Find the third derivative of -3*d**6 + 8*d**4 + 3*d**2 - 8*d**c + 7*d**6 wrt d.\n' | b'480*d**3\n' | deepmind/math_dataset |
b'Let y be -1 - (-1 - 5 - 1). What is the third derivative of -32*q**y + 49*q**2 + 78*q**6 - 15*q**6 wrt q?\n' | b'3720*q**3\n' | b'Let y be -1 - (-1 - 5 - 1). What is the third derivative of -32*q**y + 49*q**2 + 78*q**6 - 15*q**6 wrt q?\n' | b'3720*q**3\n' | deepmind/math_dataset |
b'Suppose -3*m - 1 = -4. Let z(f) = 31*f**2 - 2*f + 1. Let w be z(m). Solve 5*d = -4*r - r - w, r = 2*d + 3 for d.\n' | b'-3\n' | b'Suppose -3*m - 1 = -4. Let z(f) = 31*f**2 - 2*f + 1. Let w be z(m). Solve 5*d = -4*r - r - w, r = 2*d + 3 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -5*g = -3*g - 6. Suppose 0 = 3*t - 4*y + 7*y, 0 = y + 3. What is the second derivative of -3*l**3 + 7*l**t + 19*l + l**g + 9*l**3 wrt l?\n' | b'84*l\n' | b'Suppose -5*g = -3*g - 6. Suppose 0 = 3*t - 4*y + 7*y, 0 = y + 3. What is the second derivative of -3*l**3 + 7*l**t + 19*l + l**g + 9*l**3 wrt l?\n' | b'84*l\n' | deepmind/math_dataset |
b'Let d(w) = -88*w**3 + 49*w**2 + 70 + 174*w**3 - 87*w**3 + 32*w - 16*w**2. Let r be d(34). Solve 2*m - 8 = -r*l - 0*l, -11 = -5*l + 4*m for l.\n' | b'3\n' | b'Let d(w) = -88*w**3 + 49*w**2 + 70 + 174*w**3 - 87*w**3 + 32*w - 16*w**2. Let r be d(34). Solve 2*m - 8 = -r*l - 0*l, -11 = -5*l + 4*m for l.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence at when two letters picked without replacement from {t: 4, a: 2}.\n' | b'4/15\n' | b'Calculate prob of sequence at when two letters picked without replacement from {t: 4, a: 2}.\n' | b'4/15\n' | deepmind/math_dataset |
b'Simplify ((h*h*h*h/(h**(-3/7)/h)*h)/(h*h**(-1/7)*h))**(-15)*((h/((h**0/h)/h*h))/h*h**(-2))**(5/3) assuming h is positive.\n' | b'h**(-1475/21)\n' | b'Simplify ((h*h*h*h/(h**(-3/7)/h)*h)/(h*h**(-1/7)*h))**(-15)*((h/((h**0/h)/h*h))/h*h**(-2))**(5/3) assuming h is positive.\n' | b'h**(-1475/21)\n' | deepmind/math_dataset |
b'What is prob of sequence rrtt when four letters picked without replacement from rrrtrtrrtrvrtr?\n' | b'36/1001\n' | b'What is prob of sequence rrtt when four letters picked without replacement from rrrtrtrrtrvrtr?\n' | b'36/1001\n' | deepmind/math_dataset |
b'Let h be 2 + -2 + (-15)/(165/(-44)). Solve 2*q = -5*u - 22, h*q + 2*u = 3*u for q.\n' | b'-1\n' | b'Let h be 2 + -2 + (-15)/(165/(-44)). Solve 2*q = -5*u - 22, h*q + 2*u = 3*u for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m(l) = l**3 - l + 1. Suppose 0 = 5*h + 9 + 1. Let w(y) = 9*y**4 - 2*y**3 + 2*y - 8. Let d(g) = h*m(g) - w(g). Differentiate d(p) wrt p.\n' | b'-36*p**3\n' | b'Let m(l) = l**3 - l + 1. Suppose 0 = 5*h + 9 + 1. Let w(y) = 9*y**4 - 2*y**3 + 2*y - 8. Let d(g) = h*m(g) - w(g). Differentiate d(p) wrt p.\n' | b'-36*p**3\n' | deepmind/math_dataset |
b'Let s be 2/4 + (-20)/(-8). Find the first derivative of -1 + 3*h - s*h - h wrt h.\n' | b'-1\n' | b'Let s be 2/4 + (-20)/(-8). Find the first derivative of -1 + 3*h - s*h - h wrt h.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 2082 - 2067 = 5*f. Solve 4*z + 2*b = -0*z - 22, f*z = -4*b - 29 for z.\n' | b'-3\n' | b'Suppose 2082 - 2067 = 5*f. Solve 4*z + 2*b = -0*z - 22, f*z = -4*b - 29 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Let g = 6 - -9. Let k(z) = -2*z**2 + 29*z + 19. Let x be k(g). Solve 3*b - x*w = 19, -2*b - 2*w + 7 = w for b.\n' | b'5\n' | b'Let g = 6 - -9. Let k(z) = -2*z**2 + 29*z + 19. Let x be k(g). Solve 3*b - x*w = 19, -2*b - 2*w + 7 = w for b.\n' | b'5\n' | deepmind/math_dataset |
b'Let x(f) = 22*f**2 + 0 - 7 - 2 + 3*f + 3. Let m(d) = d. Let v(a) = -4*m(a) + x(a). Find the first derivative of v(b) wrt b.\n' | b'44*b - 1\n' | b'Let x(f) = 22*f**2 + 0 - 7 - 2 + 3*f + 3. Let m(d) = d. Let v(a) = -4*m(a) + x(a). Find the first derivative of v(b) wrt b.\n' | b'44*b - 1\n' | deepmind/math_dataset |
b'Let g be (-12)/9*3/(-2). What is the second derivative of 121*v - 6*v**2 - 11*v**5 - 21*v + 3*v**g wrt v?\n' | b'-220*v**3 - 6\n' | b'Let g be (-12)/9*3/(-2). What is the second derivative of 121*v - 6*v**2 - 11*v**5 - 21*v + 3*v**g wrt v?\n' | b'-220*v**3 - 6\n' | deepmind/math_dataset |
b'What is prob of sequence bekk when four letters picked without replacement from uebkekkk?\n' | b'1/70\n' | b'What is prob of sequence bekk when four letters picked without replacement from uebkekkk?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let y(w) = w**2 - w + 3. Let a(u) = -u. Let j(r) = -4*a(r) - y(r). Let t = 11 + -6. Determine j(t).\n' | b'-3\n' | b'Let y(w) = w**2 - w + 3. Let a(u) = -u. Let j(r) = -4*a(r) - y(r). Let t = 11 + -6. Determine j(t).\n' | b'-3\n' | deepmind/math_dataset |
b'Let q(t) be the first derivative of t**4/12 + 7*t**3/6 + 4*t + 10. Let i(z) be the first derivative of q(z). Find the second derivative of i(m) wrt m.\n' | b'2\n' | b'Let q(t) be the first derivative of t**4/12 + 7*t**3/6 + 4*t + 10. Let i(z) be the first derivative of q(z). Find the second derivative of i(m) wrt m.\n' | b'2\n' | deepmind/math_dataset |
b'Let c be -1 - -1 - 5*-1. Let n(t) = -5 + 1 + 13*t**2 - 16 - 16*t. Let p(d) = -3*d**2 + 4*d + 5. Let s(x) = 2*n(x) + 9*p(x). Determine s(c).\n' | b'0\n' | b'Let c be -1 - -1 - 5*-1. Let n(t) = -5 + 1 + 13*t**2 - 16 - 16*t. Let p(d) = -3*d**2 + 4*d + 5. Let s(x) = 2*n(x) + 9*p(x). Determine s(c).\n' | b'0\n' | deepmind/math_dataset |
b'Let h(y) = -y**2 - 31*y + 231. Let m be (-5)/(-30)*324/9. Determine h(m).\n' | b'9\n' | b'Let h(y) = -y**2 - 31*y + 231. Let m be (-5)/(-30)*324/9. Determine h(m).\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of sequence nxxx when four letters picked without replacement from xxnxrnvnxnnxnnxxx.\n' | b'7/170\n' | b'Calculate prob of sequence nxxx when four letters picked without replacement from xxnxrnvnxnnxnnxxx.\n' | b'7/170\n' | deepmind/math_dataset |
b'Let x(y) = y**2 - 2*y - 2. Suppose -h + 2*k = -0*k - 42, 0 = -h + 3*k + 47. Let q be (-48)/h - (-22)/4. Determine x(q).\n' | b'6\n' | b'Let x(y) = y**2 - 2*y - 2. Suppose -h + 2*k = -0*k - 42, 0 = -h + 3*k + 47. Let q be (-48)/h - (-22)/4. Determine x(q).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 1, c: 7, r: 2}. What is prob of sequence wr?\n' | b'1/45\n' | b'Two letters picked without replacement from {w: 1, c: 7, r: 2}. What is prob of sequence wr?\n' | b'1/45\n' | deepmind/math_dataset |
b'Simplify ((y**(-5))**12*(y**16*y)/((y*y**(4/11))/y))**(-37) assuming y is positive.\n' | b'y**(17649/11)\n' | b'Simplify ((y**(-5))**12*(y**16*y)/((y*y**(4/11))/y))**(-37) assuming y is positive.\n' | b'y**(17649/11)\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 a when two letters picked without replacement from {t: 11, a: 5, z: 1}?\n' | b'5/136\n' | b'What is prob of picking 1 z and 1 a when two letters picked without replacement from {t: 11, a: 5, z: 1}?\n' | b'5/136\n' | deepmind/math_dataset |
b'Let f(t) be the third derivative of -t**5/60 - t**3/2 + 9*t**2. Give f(0).\n' | b'-3\n' | b'Let f(t) be the third derivative of -t**5/60 - t**3/2 + 9*t**2. Give f(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Let h(a) = -2*a**3 + 2*a**2 + 3*a. Let t(v) = -4*v**3 + 5*v**2 + 7*v. Let s be 5/1 + -2*1. Let u(b) = s*t(b) - 7*h(b). Find the third derivative of u(i) wrt i.\n' | b'12\n' | b'Let h(a) = -2*a**3 + 2*a**2 + 3*a. Let t(v) = -4*v**3 + 5*v**2 + 7*v. Let s be 5/1 + -2*1. Let u(b) = s*t(b) - 7*h(b). Find the third derivative of u(i) wrt i.\n' | b'12\n' | deepmind/math_dataset |
b'Let h(a) = -4*a + 38. Let v = 308 + -297. Give h(v).\n' | b'-6\n' | b'Let h(a) = -4*a + 38. Let v = 308 + -297. Give h(v).\n' | b'-6\n' | deepmind/math_dataset |
b'Let a(x) be the second derivative of x**3 + x**2/2 - 5*x. Suppose -1 = 2*f + 3. Calculate a(f).\n' | b'-11\n' | b'Let a(x) be the second derivative of x**3 + x**2/2 - 5*x. Suppose -1 = 2*f + 3. Calculate a(f).\n' | b'-11\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from {z: 7, b: 7}?\n' | b'3/13\n' | b'What is prob of picking 2 z when two letters picked without replacement from {z: 7, b: 7}?\n' | b'3/13\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {t: 1, c: 3, i: 1, y: 1, a: 7}.\n' | b'1/78\n' | b'Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {t: 1, c: 3, i: 1, y: 1, a: 7}.\n' | b'1/78\n' | deepmind/math_dataset |
b'Simplify (((c**(-7)*c*c**(-2/19))/((c**10/c)/(c*c/c**(-9)*c)))**29)**(-1/25) assuming c is positive.\n' | b'c**(1711/475)\n' | b'Simplify (((c**(-7)*c*c**(-2/19))/((c**10/c)/(c*c/c**(-9)*c)))**29)**(-1/25) assuming c is positive.\n' | b'c**(1711/475)\n' | deepmind/math_dataset |
b'Suppose 1555*l + 171 = 1574*l. Let g(n) = -n**2 + 4*n + 14. Calculate g(l).\n' | b'-31\n' | b'Suppose 1555*l + 171 = 1574*l. Let g(n) = -n**2 + 4*n + 14. Calculate g(l).\n' | b'-31\n' | deepmind/math_dataset |
b'Simplify (y**(-1)/(y/(y*(y**(-2/15)/y)/y)))**(-2/53) assuming y is positive.\n' | b'y**(94/795)\n' | b'Simplify (y**(-1)/(y/(y*(y**(-2/15)/y)/y)))**(-2/53) assuming y is positive.\n' | b'y**(94/795)\n' | deepmind/math_dataset |
b'Simplify (((u/u**4)/((u/(u*u*u/(u/u**(1/3)))*u)/u))/(u*(u/u**(-4))/u*u*(u**(3/7)*u)/u*u))**(-44) assuming u is positive.\n' | b'u**(8404/21)\n' | b'Simplify (((u/u**4)/((u/(u*u*u/(u/u**(1/3)))*u)/u))/(u*(u/u**(-4))/u*u*(u**(3/7)*u)/u*u))**(-44) assuming u is positive.\n' | b'u**(8404/21)\n' | deepmind/math_dataset |
b'What is prob of sequence jjbj when four letters picked without replacement from {b: 2, j: 16}?\n' | b'14/153\n' | b'What is prob of sequence jjbj when four letters picked without replacement from {b: 2, j: 16}?\n' | b'14/153\n' | deepmind/math_dataset |
b'What is prob of picking 2 b and 1 e when three letters picked without replacement from nxxehgebhenb?\n' | b'3/220\n' | b'What is prob of picking 2 b and 1 e when three letters picked without replacement from nxxehgebhenb?\n' | b'3/220\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuutzknunktnntp. Give prob of picking 1 z, 1 k, 1 t, and 1 n.\n' | b'8/455\n' | b'Four letters picked without replacement from uuutzknunktnntp. Give prob of picking 1 z, 1 k, 1 t, and 1 n.\n' | b'8/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, i: 1, l: 1, h: 4, k: 4, b: 7}. What is prob of sequence ilb?\n' | b'7/5814\n' | b'Three letters picked without replacement from {y: 2, i: 1, l: 1, h: 4, k: 4, b: 7}. What is prob of sequence ilb?\n' | b'7/5814\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zklrlyww. What is prob of picking 1 l and 1 k?\n' | b'1/14\n' | b'Two letters picked without replacement from zklrlyww. What is prob of picking 1 l and 1 k?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let a(r) = -3*r**2 - 2*r**2 + 4*r**2 - 7*r + 2*r**2 + 3. Give a(5).\n' | b'-7\n' | b'Let a(r) = -3*r**2 - 2*r**2 + 4*r**2 - 7*r + 2*r**2 + 3. Give a(5).\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of picking 2 s and 1 g when three letters picked without replacement from ugssbhccb?\n' | b'1/84\n' | b'What is prob of picking 2 s and 1 g when three letters picked without replacement from ugssbhccb?\n' | b'1/84\n' | deepmind/math_dataset |
b'Calculate prob of sequence jve when three letters picked without replacement from qjtttqqevjvtqq.\n' | b'1/546\n' | b'Calculate prob of sequence jve when three letters picked without replacement from qjtttqqevjvtqq.\n' | b'1/546\n' | deepmind/math_dataset |
b'Let m(j) = j**3 + 5*j**2 - 27*j - 133. Let i be m(-5). Solve -i*b - 5*o = -5, 2 = 5*o - 13 for b.\n' | b'-5\n' | b'Let m(j) = j**3 + 5*j**2 - 27*j - 133. Let i be m(-5). Solve -i*b - 5*o = -5, 2 = 5*o - 13 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (t*t**(5/4))/((t*t*t/t**(1/7)*t)/t*t)*(t*t/t**(2/3))**(37/5) assuming t is positive.\n' | b't**(3469/420)\n' | b'Simplify (t*t**(5/4))/((t*t*t/t**(1/7)*t)/t*t)*(t*t/t**(2/3))**(37/5) assuming t is positive.\n' | b't**(3469/420)\n' | deepmind/math_dataset |
b'Simplify (u**(2/29)/u)/(u**(-3/14)*u) assuming u is positive.\n' | b'u**(-697/406)\n' | b'Simplify (u**(2/29)/u)/(u**(-3/14)*u) assuming u is positive.\n' | b'u**(-697/406)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from memr. What is prob of picking 1 r and 2 m?\n' | b'1/4\n' | b'Three letters picked without replacement from memr. What is prob of picking 1 r and 2 m?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let y(p) = 2*p**2 - 5*p - 3. Let s be y(3). Let j(q) = 2*q - 9. Let u be j(7). Solve s*i + 3 = u*c - i, 0 = -3*c - 5*i + 13 for c.\n' | b'1\n' | b'Let y(p) = 2*p**2 - 5*p - 3. Let s be y(3). Let j(q) = 2*q - 9. Let u be j(7). Solve s*i + 3 = u*c - i, 0 = -3*c - 5*i + 13 for c.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 4*v - 2 - 22 = 0. Solve 0 = -2*o - v, 3*o - 7 = -2*b + 6*o for b.\n' | b'-1\n' | b'Suppose 4*v - 2 - 22 = 0. Solve 0 = -2*o - v, 3*o - 7 = -2*b + 6*o for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m = -92 - -97. Let w(p) = -p**2 + 4*p + 5. Let u be w(m). Solve -i - k = 3*k + 7, u = -i - k - 4 for i.\n' | b'-3\n' | b'Let m = -92 - -97. Let w(p) = -p**2 + 4*p + 5. Let u be w(m). Solve -i - k = 3*k + 7, u = -i - k - 4 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let q be 90/(-20)*(-8)/18. Let r(s) = -4 - 4*s - 3 + q*s. What is r(-6)?\n' | b'5\n' | b'Let q be 90/(-20)*(-8)/18. Let r(s) = -4 - 4*s - 3 + q*s. What is r(-6)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -3*j = 5*g + 43, -j - 4 = -3. Let n(p) = p**3 + 9*p**2 + 9*p + 4. Determine n(g).\n' | b'-4\n' | b'Suppose -3*j = 5*g + 43, -j - 4 = -3. Let n(p) = p**3 + 9*p**2 + 9*p + 4. Determine n(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(n) = n**2 - n - 3. Let d be v(-3). Let f = 13 - d. Let m(c) = -4*c - 2. Let r(s) = s + 1. Let k(q) = -m(q) - 5*r(q). What is k(f)?\n' | b'-7\n' | b'Let v(n) = n**2 - n - 3. Let d be v(-3). Let f = 13 - d. Let m(c) = -4*c - 2. Let r(s) = s + 1. Let k(q) = -m(q) - 5*r(q). What is k(f)?\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 2, k: 10, e: 4}. What is prob of sequence kek?\n' | b'3/28\n' | b'Three letters picked without replacement from {h: 2, k: 10, e: 4}. What is prob of sequence kek?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let w(v) be the third derivative of v**6/24 + 103*v**5/60 + 1091*v**3/2 + 1094*v**2. What is the first derivative of w(s) wrt s?\n' | b'15*s**2 + 206*s\n' | b'Let w(v) be the third derivative of v**6/24 + 103*v**5/60 + 1091*v**3/2 + 1094*v**2. What is the first derivative of w(s) wrt s?\n' | b'15*s**2 + 206*s\n' | deepmind/math_dataset |
b'Let y(w) = -17*w - 68. Let g be y(-4). Solve -u = 3*a - g*u + 1, -a + 5 = 3*u for a.\n' | b'-1\n' | b'Let y(w) = -17*w - 68. Let g be y(-4). Solve -u = 3*a - g*u + 1, -a + 5 = 3*u for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose -6 = -2*q + 24. Suppose 0 = -3*t - 2 + 47. Find the second derivative of 18*l**4 - t*l**4 + 18*l**4 - q*l wrt l.\n' | b'252*l**2\n' | b'Suppose -6 = -2*q + 24. Suppose 0 = -3*t - 2 + 47. Find the second derivative of 18*l**4 - t*l**4 + 18*l**4 - q*l wrt l.\n' | b'252*l**2\n' | deepmind/math_dataset |
b'Suppose -8*s = -359 - 393. Let k = s - 90. Let f = 9 - 6. Solve -f*w = 3*b + 12, -4*b - 7 = -k*w + 1 for b.\n' | b'-3\n' | b'Suppose -8*s = -359 - 393. Let k = s - 90. Let f = 9 - 6. Solve -f*w = 3*b + 12, -4*b - 7 = -k*w + 1 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 4*t = -2*y, -y + 0*y = -2*t. Suppose y = 6*g - 5 - 1. Solve 2*i + 26 = -5*z, 2*z = -3*i + 6*i + g for i.\n' | b'-3\n' | b'Suppose 4*t = -2*y, -y + 0*y = -2*t. Suppose y = 6*g - 5 - 1. Solve 2*i + 26 = -5*z, 2*z = -3*i + 6*i + g for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let k(f) = 4*f - 2. Let z(s) = -38*s - 1. Let t(h) = -h - 8. Let g be t(-9). Let y be z(g). Let w = y + 41. Determine k(w).\n' | b'6\n' | b'Let k(f) = 4*f - 2. Let z(s) = -38*s - 1. Let t(h) = -h - 8. Let g be t(-9). Let y be z(g). Let w = y + 41. Determine k(w).\n' | b'6\n' | deepmind/math_dataset |
b'Let z(q) = -99*q**2 + 599*q + 16. Let d(u) = -199*u**2 + 1197*u + 28. Let f(p) = -4*d(p) + 7*z(p). Find the second derivative of f(v) wrt v.\n' | b'206\n' | b'Let z(q) = -99*q**2 + 599*q + 16. Let d(u) = -199*u**2 + 1197*u + 28. Let f(p) = -4*d(p) + 7*z(p). Find the second derivative of f(v) wrt v.\n' | b'206\n' | deepmind/math_dataset |
b'Let o(w) = -95*w**2 - 3*w + 66. Suppose 77*s + 24 = 85*s. Let m(l) = 93*l**2 + 2*l - 66. Let b(u) = s*m(u) + 2*o(u). Find the first derivative of b(f) wrt f.\n' | b'178*f\n' | b'Let o(w) = -95*w**2 - 3*w + 66. Suppose 77*s + 24 = 85*s. Let m(l) = 93*l**2 + 2*l - 66. Let b(u) = s*m(u) + 2*o(u). Find the first derivative of b(f) wrt f.\n' | b'178*f\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 2 q when three letters picked without replacement from qmmqqqmmmqqmq.\n' | b'63/143\n' | b'Calculate prob of picking 1 m and 2 q when three letters picked without replacement from qmmqqqmmmqqmq.\n' | b'63/143\n' | deepmind/math_dataset |
b'Let o(h) = -h**3 + 6*h**2 - 3*h + 3. Let s be o(3). Suppose -3 = 9*w - s. What is the first derivative of 4 + 9 + 21*u**w + u**2 wrt u?\n' | b'44*u\n' | b'Let o(h) = -h**3 + 6*h**2 - 3*h + 3. Let s be o(3). Suppose -3 = 9*w - s. What is the first derivative of 4 + 9 + 21*u**w + u**2 wrt u?\n' | b'44*u\n' | deepmind/math_dataset |
b'Suppose 2*z = -4*j - 42 - 78, -3*j = 2*z + 125. Let g = 72 + z. What is the third derivative of -4*m**4 + 35*m**2 + 19*m**g - 37*m**2 wrt m?\n' | b'-96*m\n' | b'Suppose 2*z = -4*j - 42 - 78, -3*j = 2*z + 125. Let g = 72 + z. What is the third derivative of -4*m**4 + 35*m**2 + 19*m**g - 37*m**2 wrt m?\n' | b'-96*m\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u and 1 z when three letters picked without replacement from uzzjuzuuzz.\n' | b'1/4\n' | b'Calculate prob of picking 2 u and 1 z when three letters picked without replacement from uzzjuzuuzz.\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify (y**(-2/9)/y*y)**(-3/4)*((y**0*y)/y)**(9/10)*((y*y*(y*y**(-2/11)*y)/y*y*y)/y*y)/(y/(y/y**(1/10)))*(y**6*y)/y**(-3) assuming y is positive.\n' | b'y**(2456/165)\n' | b'Simplify (y**(-2/9)/y*y)**(-3/4)*((y**0*y)/y)**(9/10)*((y*y*(y*y**(-2/11)*y)/y*y*y)/y*y)/(y/(y/y**(1/10)))*(y**6*y)/y**(-3) assuming y is positive.\n' | b'y**(2456/165)\n' | deepmind/math_dataset |
b'Simplify (y**(1/4)*y/(y/y**6))/(y/(y*y**(-6/7)))**(-2/17) assuming y is positive.\n' | b'y**(3023/476)\n' | b'Simplify (y**(1/4)*y/(y/y**6))/(y/(y*y**(-6/7)))**(-2/17) assuming y is positive.\n' | b'y**(3023/476)\n' | deepmind/math_dataset |
b'Simplify (n*n*n/n**(-4)*n)/n*n**(1/9) assuming n is positive.\n' | b'n**(64/9)\n' | b'Simplify (n*n*n/n**(-4)*n)/n*n**(1/9) assuming n is positive.\n' | b'n**(64/9)\n' | deepmind/math_dataset |
b'What is prob of picking 4 t when four letters picked without replacement from {t: 9, r: 3, l: 7}?\n' | b'21/646\n' | b'What is prob of picking 4 t when four letters picked without replacement from {t: 9, r: 3, l: 7}?\n' | b'21/646\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e and 2 g when four letters picked without replacement from {g: 3, v: 7, e: 3}.\n' | b'9/715\n' | b'Calculate prob of picking 2 e and 2 g when four letters picked without replacement from {g: 3, v: 7, e: 3}.\n' | b'9/715\n' | deepmind/math_dataset |
b'Simplify ((v**1)**(1/16)*v**(2/3)*v*v/(v*(v/(v/(v/(v*v**(1/3)))))/v*v)*v)/(v*v**(-1/2)*v*v**5)**1 assuming v is positive.\n' | b'v**(-55/16)\n' | b'Simplify ((v**1)**(1/16)*v**(2/3)*v*v/(v*(v/(v/(v/(v*v**(1/3)))))/v*v)*v)/(v*v**(-1/2)*v*v**5)**1 assuming v is positive.\n' | b'v**(-55/16)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 1, j: 1, c: 1, e: 2}. What is prob of sequence ec?\n' | b'1/10\n' | b'Two letters picked without replacement from {p: 1, j: 1, c: 1, e: 2}. What is prob of sequence ec?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let q(s) = s**2 - 3*s - 20. Let p be q(9). Let n = p + -29. Solve -n*l - c = 5, 4*c - 14 = -3*l - 0*c for l.\n' | b'-2\n' | b'Let q(s) = s**2 - 3*s - 20. Let p be q(9). Let n = p + -29. Solve -n*l - c = 5, 4*c - 14 = -3*l - 0*c for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let l(p) be the second derivative of 1/20*p**5 - 1/6*p**3 - 2*p - 7/2*p**2 - 5/12*p**4 + 0. Suppose -f = 3*d - 5*f - 31, -2*f = 5*d - 17. Calculate l(d).\n' | b'-12\n' | b'Let l(p) be the second derivative of 1/20*p**5 - 1/6*p**3 - 2*p - 7/2*p**2 - 5/12*p**4 + 0. Suppose -f = 3*d - 5*f - 31, -2*f = 5*d - 17. Calculate l(d).\n' | b'-12\n' | deepmind/math_dataset |
b'Let j(m) = m**3 + m**2 + m - 5. Let x = 2 - 2. Suppose 0 = -5*w - x*w. Give j(w).\n' | b'-5\n' | b'Let j(m) = m**3 + m**2 + m - 5. Let x = 2 - 2. Suppose 0 = -5*w - x*w. Give j(w).\n' | b'-5\n' | deepmind/math_dataset |
b'Differentiate -33*h**2 - 12*h**2 - 81*h**2 + 374 - h**3 + 624 with respect to h.\n' | b'-3*h**2 - 252*h\n' | b'Differentiate -33*h**2 - 12*h**2 - 81*h**2 + 374 - h**3 + 624 with respect to h.\n' | b'-3*h**2 - 252*h\n' | deepmind/math_dataset |
b'Let p(u) be the first derivative of u**3 + u**2 - 3*u + 1. Let o(g) = -61*g + 9701. Let d be o(159). Give p(d).\n' | b'13\n' | b'Let p(u) be the first derivative of u**3 + u**2 - 3*u + 1. Let o(g) = -61*g + 9701. Let d be o(159). Give p(d).\n' | b'13\n' | deepmind/math_dataset |
b'Let k(g) = -g**2 - 19*g + 71. Let u be k(-22). Solve -5*p = -4*l - 32, 14 = -3*l + u*l + 5*p for l.\n' | b'-3\n' | b'Let k(g) = -g**2 - 19*g + 71. Let u be k(-22). Solve -5*p = -4*l - 32, 14 = -3*l + u*l + 5*p for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((f*f*f*(f/(f/(f*f*(f*f/(f**(-1/3)/f))/f*f*f)))/f*f)**32*f**(-2)/(f/f**(1/8)))/((f**0)**(-50)/(f**2/(f/(f/(f*f**(-6)*f))))) assuming f is positive.\n' | b'f**(7243/24)\n' | b'Simplify ((f*f*f*(f/(f/(f*f*(f*f/(f**(-1/3)/f))/f*f*f)))/f*f)**32*f**(-2)/(f/f**(1/8)))/((f**0)**(-50)/(f**2/(f/(f/(f*f**(-6)*f))))) assuming f is positive.\n' | b'f**(7243/24)\n' | deepmind/math_dataset |
b'Suppose -20 = 5*o, 3*q + 43 = -3*o + 16. Let g(x) = -2*x**2 - 9*x + 6. Let r be g(q). Let h(l) = -r - 4*l**2 + 70*l - 70*l. Calculate h(-1).\n' | b'-5\n' | b'Suppose -20 = 5*o, 3*q + 43 = -3*o + 16. Let g(x) = -2*x**2 - 9*x + 6. Let r be g(q). Let h(l) = -r - 4*l**2 + 70*l - 70*l. Calculate h(-1).\n' | b'-5\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.