question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Let j(s) = 4*s**3 + 6*s**2 + 5*s. Suppose 2*l = -0*l + 6. Let t(p) = -5*p**3 - 7*p**2 - 6*p - 1. Let f(a) = l*t(a) + 4*j(a). What is f(-3)?\n' | b'-9\n' | b'Let j(s) = 4*s**3 + 6*s**2 + 5*s. Suppose 2*l = -0*l + 6. Let t(p) = -5*p**3 - 7*p**2 - 6*p - 1. Let f(a) = l*t(a) + 4*j(a). What is f(-3)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let k(v) = -v**2 - 5*v - 2. Let b(f) = 4*f**2 - 1. Let s be b(-1). Suppose g = 2*g + s. What is k(g)?\n' | b'4\n' | b'Let k(v) = -v**2 - 5*v - 2. Let b(f) = 4*f**2 - 1. Let s be b(-1). Suppose g = 2*g + s. What is k(g)?\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, e: 6, s: 4, t: 2, b: 1}. What is prob of picking 2 w, 1 t, and 1 e?\n' | b'4/455\n' | b'Four letters picked without replacement from {w: 2, e: 6, s: 4, t: 2, b: 1}. What is prob of picking 2 w, 1 t, and 1 e?\n' | b'4/455\n' | deepmind/math_dataset |
b'Simplify (g/(g/(g/(g/(g**(-1/5)/g))*g))*g/g**5)/((g**(1/4)/g)/g)**(-10)*((g*g/g**3)/(g*(g/g**(2/25))/g*g))**(-1) assuming g is positive.\n' | b'g**(-939/50)\n' | b'Simplify (g/(g/(g/(g/(g**(-1/5)/g))*g))*g/g**5)/((g**(1/4)/g)/g)**(-10)*((g*g/g**3)/(g*(g/g**(2/25))/g*g))**(-1) assuming g is positive.\n' | b'g**(-939/50)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kxjxzxxoo. What is prob of picking 2 o?\n' | b'1/36\n' | b'Two letters picked without replacement from kxjxzxxoo. What is prob of picking 2 o?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let j be (-56)/21*(-9)/2. Suppose 4*k = -6 + 66. Suppose a - 5*o = -j, -4*o = a - 0*a - k. Solve -2*y + 7 = -a, s = 5*y - 25 for s.\n' | b'0\n' | b'Let j be (-56)/21*(-9)/2. Suppose 4*k = -6 + 66. Suppose a - 5*o = -j, -4*o = a - 0*a - k. Solve -2*y + 7 = -a, s = 5*y - 25 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let o be 25/((-15)/(-3)) + -5. Let j(i) be the second derivative of -2*i**2 + i + o + 1/6*i**3. Find the first derivative of j(p) wrt p.\n' | b'1\n' | b'Let o be 25/((-15)/(-3)) + -5. Let j(i) be the second derivative of -2*i**2 + i + o + 1/6*i**3. Find the first derivative of j(p) wrt p.\n' | b'1\n' | deepmind/math_dataset |
b'Let k(n) be the second derivative of -n**7/210 - n**6/180 + n**4/24 + n**3/6 - n. Let h(r) be the second derivative of k(r). Determine h(1).\n' | b'-5\n' | b'Let k(n) be the second derivative of -n**7/210 - n**6/180 + n**4/24 + n**3/6 - n. Let h(r) be the second derivative of k(r). Determine h(1).\n' | b'-5\n' | deepmind/math_dataset |
b'Let b be -5*2/5*(-20)/8. Let w(o) = -o**2 + 5*o - 1. Let a be w(2). Suppose 0 = -a*u + 84 + 1. Solve -q = b*g + u + 5, -g - 5 = 0 for q.\n' | b'3\n' | b'Let b be -5*2/5*(-20)/8. Let w(o) = -o**2 + 5*o - 1. Let a be w(2). Suppose 0 = -a*u + 84 + 1. Solve -q = b*g + u + 5, -g - 5 = 0 for q.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iiilbbbb. What is prob of picking 3 i and 1 b?\n' | b'2/35\n' | b'Four letters picked without replacement from iiilbbbb. What is prob of picking 3 i and 1 b?\n' | b'2/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 c when two letters picked without replacement from {c: 2, j: 3, p: 4, i: 1, e: 4, x: 1}?\n' | b'2/35\n' | b'What is prob of picking 1 j and 1 c when two letters picked without replacement from {c: 2, j: 3, p: 4, i: 1, e: 4, x: 1}?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let j(w) be the second derivative of 7/6*w**3 - 1/4*w**4 + 5/2*w**2 + 0 - 1/20*w**5 + 5*w. Calculate j(-4).\n' | b'-7\n' | b'Let j(w) be the second derivative of 7/6*w**3 - 1/4*w**4 + 5/2*w**2 + 0 - 1/20*w**5 + 5*w. Calculate j(-4).\n' | b'-7\n' | deepmind/math_dataset |
b'Let b(p) = 1 + 0*p**2 + 2110*p + 0 - 2120*p + 0*p**2 - p**2. Let n be b(-10). Let z(v) = 3*v. Determine z(n).\n' | b'3\n' | b'Let b(p) = 1 + 0*p**2 + 2110*p + 0 - 2120*p + 0*p**2 - p**2. Let n be b(-10). Let z(v) = 3*v. Determine z(n).\n' | b'3\n' | deepmind/math_dataset |
b'Let x(t) = t**2 - 7*t + 4. Let c be x(7). Suppose -p + b + 5 = 2*b, -c*p - 3*b + 19 = 0. Solve -k + 3 = 4*f, 0*f + 2*f - p*k - 6 = 0 for f.\n' | b'1\n' | b'Let x(t) = t**2 - 7*t + 4. Let c be x(7). Suppose -p + b + 5 = 2*b, -c*p - 3*b + 19 = 0. Solve -k + 3 = 4*f, 0*f + 2*f - p*k - 6 = 0 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let q(u) = -3*u + 1. Let o be (-25)/(-10) + (-4)/8 + 2. Suppose g + g = -m + 33, 8 = 2*g - o*m. Suppose -g*f + 2 = -13*f. Determine q(f).\n' | b'-5\n' | b'Let q(u) = -3*u + 1. Let o be (-25)/(-10) + (-4)/8 + 2. Suppose g + g = -m + 33, 8 = 2*g - o*m. Suppose -g*f + 2 = -13*f. Determine q(f).\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jxxxjj. Give prob of sequence xjx.\n' | b'3/20\n' | b'Three letters picked without replacement from jxxxjj. Give prob of sequence xjx.\n' | b'3/20\n' | deepmind/math_dataset |
b'Let n(h) = 10925*h**2 - 4*h - 8937. Let z(w) = 10916*w**2 - 5*w - 8938. Let i(o) = 5*n(o) - 4*z(o). What is the derivative of i(b) wrt b?\n' | b'21922*b\n' | b'Let n(h) = 10925*h**2 - 4*h - 8937. Let z(w) = 10916*w**2 - 5*w - 8938. Let i(o) = 5*n(o) - 4*z(o). What is the derivative of i(b) wrt b?\n' | b'21922*b\n' | deepmind/math_dataset |
b'Let n be (3 - 3)/(-2) + 0. Suppose -3*x + 4*x - 3 = n. Let z(s) = 18*s**3 - s**2 + s. Let m be z(1). Solve -4*a = -x*a - 4*b + m, -5*a = -b + 14 for a.\n' | b'-2\n' | b'Let n be (3 - 3)/(-2) + 0. Suppose -3*x + 4*x - 3 = n. Let z(s) = 18*s**3 - s**2 + s. Let m be z(1). Solve -4*a = -x*a - 4*b + m, -5*a = -b + 14 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence boob when four letters picked without replacement from bboffobbffobf.\n' | b'1/143\n' | b'Calculate prob of sequence boob when four letters picked without replacement from bboffobbffobf.\n' | b'1/143\n' | deepmind/math_dataset |
b'Suppose 0*a - a + 5 = -11. Let j(x) = -x + 58. Determine j(a).\n' | b'42\n' | b'Suppose 0*a - a + 5 = -11. Let j(x) = -x + 58. Determine j(a).\n' | b'42\n' | deepmind/math_dataset |
b'Let z(r) = -r**3 - 3*r**2 + 1. Let f be 6 - (-4)/8*-6. Suppose w = -f*x - 4 + 16, 3 = x. Suppose 0 = w*q + 7 + 2. Calculate z(q).\n' | b'1\n' | b'Let z(r) = -r**3 - 3*r**2 + 1. Let f be 6 - (-4)/8*-6. Suppose w = -f*x - 4 + 16, 3 = x. Suppose 0 = w*q + 7 + 2. Calculate z(q).\n' | b'1\n' | deepmind/math_dataset |
b'Let p be 2/(4 + -7 - 149/(-50)). Let a = p + 115. Suppose -5*i = -5 - a. Solve 3*t + 2*q = 3 - 0, 0 = -i*q for t.\n' | b'1\n' | b'Let p be 2/(4 + -7 - 149/(-50)). Let a = p + 115. Suppose -5*i = -5 - a. Solve 3*t + 2*q = 3 - 0, 0 = -i*q for t.\n' | b'1\n' | deepmind/math_dataset |
b'Let m = 38 + -23. Solve 25 = -9*k + 4*k - 3*y, 5*y = 5*k - m for k.\n' | b'-2\n' | b'Let m = 38 + -23. Solve 25 = -9*k + 4*k - 3*y, 5*y = 5*k - m for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(w) = -w**2 + 98*w - 138. Let l(s) = -6*s**2 + 491*s - 679. Let y(p) = 11*a(p) - 2*l(p). What is the first derivative of y(d) wrt d?\n' | b'2*d + 96\n' | b'Let a(w) = -w**2 + 98*w - 138. Let l(s) = -6*s**2 + 491*s - 679. Let y(p) = 11*a(p) - 2*l(p). What is the first derivative of y(d) wrt d?\n' | b'2*d + 96\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, g: 2, j: 3, k: 1, z: 7}. Give prob of sequence bg.\n' | b'1/91\n' | b'Two letters picked without replacement from {b: 1, g: 2, j: 3, k: 1, z: 7}. Give prob of sequence bg.\n' | b'1/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, s: 1, r: 1, y: 5, o: 3, w: 2}. Give prob of sequence sr.\n' | b'1/156\n' | b'Two letters picked without replacement from {b: 1, s: 1, r: 1, y: 5, o: 3, w: 2}. Give prob of sequence sr.\n' | b'1/156\n' | deepmind/math_dataset |
b'Suppose -5*b + 107 = -4*r, 105 = 4*b + 5*r + 3. Let f be (-138)/b*3/(-6). Solve 3 + 7 = 2*s + z, -f*s + 4*z + 4 = 0 for s.\n' | b'4\n' | b'Suppose -5*b + 107 = -4*r, 105 = 4*b + 5*r + 3. Let f be (-138)/b*3/(-6). Solve 3 + 7 = 2*s + z, -f*s + 4*z + 4 = 0 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let g(w) = -w + 3. Let s be g(6). Let p be -1*(-6)/(-9)*s. Differentiate 1 - p*v**2 + 0 + 0 wrt v.\n' | b'-4*v\n' | b'Let g(w) = -w + 3. Let s be g(6). Let p be -1*(-6)/(-9)*s. Differentiate 1 - p*v**2 + 0 + 0 wrt v.\n' | b'-4*v\n' | deepmind/math_dataset |
b'Let t(f) be the first derivative of -229 + 0*f**4 + 0*f + 143/3*f**3 + 9*f**5 + 0*f**2. Find the third derivative of t(l) wrt l.\n' | b'1080*l\n' | b'Let t(f) be the first derivative of -229 + 0*f**4 + 0*f + 143/3*f**3 + 9*f**5 + 0*f**2. Find the third derivative of t(l) wrt l.\n' | b'1080*l\n' | deepmind/math_dataset |
b'Let p be ((-12)/(-5))/(6/20). Suppose 47*u - 45*u = 3*k - 29, -k + 12 = -3*u. Solve -q = -b + p, 5*b + 10 = -k*q + 4*q for q.\n' | b'-5\n' | b'Let p be ((-12)/(-5))/(6/20). Suppose 47*u - 45*u = 3*k - 29, -k + 12 = -3*u. Solve -q = -b + p, 5*b + 10 = -k*q + 4*q for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(g) = -6. Let n(s) = 7. Let a(o) = 4*n(o) + 5*w(o). Let q = -12 - -21. Let i(t) = -t + 7. Let u(p) = q*a(p) + 2*i(p). Differentiate u(r) with respect to r.\n' | b'-2\n' | b'Let w(g) = -6. Let n(s) = 7. Let a(o) = 4*n(o) + 5*w(o). Let q = -12 - -21. Let i(t) = -t + 7. Let u(p) = q*a(p) + 2*i(p). Differentiate u(r) with respect to r.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 e when three letters picked without replacement from {e: 7, y: 9}.\n' | b'1/16\n' | b'Calculate prob of picking 3 e when three letters picked without replacement from {e: 7, y: 9}.\n' | b'1/16\n' | deepmind/math_dataset |
b'Let x(h) = h + 2. Let g be x(0). Let u(c) be the third derivative of -1/6*c**3 + 0*c - 1/30*c**5 + 0*c**4 + 0 - 2*c**g. What is the derivative of u(b) wrt b?\n' | b'-4*b\n' | b'Let x(h) = h + 2. Let g be x(0). Let u(c) be the third derivative of -1/6*c**3 + 0*c - 1/30*c**5 + 0*c**4 + 0 - 2*c**g. What is the derivative of u(b) wrt b?\n' | b'-4*b\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xvvbxmvvcbvvx. Give prob of picking 1 x and 1 b.\n' | b'1/13\n' | b'Two letters picked without replacement from xvvbxmvvcbvvx. Give prob of picking 1 x and 1 b.\n' | b'1/13\n' | deepmind/math_dataset |
b'Let y(r) be the second derivative of 5/6*r**3 + 3/2*r**2 - 2*r - 1/12*r**4 - 5. Suppose 0 = u - 2*u + 6. Determine y(u).\n' | b'-3\n' | b'Let y(r) be the second derivative of 5/6*r**3 + 3/2*r**2 - 2*r - 1/12*r**4 - 5. Suppose 0 = u - 2*u + 6. Determine y(u).\n' | b'-3\n' | deepmind/math_dataset |
b'Let t be 8*(-9)/(-35 + -1). What is the third derivative of 12*c**t - 7*c**2 - 22*c**3 - 78*c**2 + 61*c**3 + 191*c**3 wrt c?\n' | b'1380\n' | b'Let t be 8*(-9)/(-35 + -1). What is the third derivative of 12*c**t - 7*c**2 - 22*c**3 - 78*c**2 + 61*c**3 + 191*c**3 wrt c?\n' | b'1380\n' | deepmind/math_dataset |
b'Let h be ((-33)/(-9) - 4)*0. Suppose h = -5*l + 6*l - 18. Let r(a) = -18 - 3*a + 35 - l. Determine r(2).\n' | b'-7\n' | b'Let h be ((-33)/(-9) - 4)*0. Suppose h = -5*l + 6*l - 18. Let r(a) = -18 - 3*a + 35 - l. Determine r(2).\n' | b'-7\n' | deepmind/math_dataset |
b'Let v(w) be the first derivative of w**3 - 7/4*w**4 + 0*w + 2 + 0*w**2. What is the third derivative of v(p) wrt p?\n' | b'-42\n' | b'Let v(w) be the first derivative of w**3 - 7/4*w**4 + 0*w + 2 + 0*w**2. What is the third derivative of v(p) wrt p?\n' | b'-42\n' | deepmind/math_dataset |
b'Let x = -1 - -4. Suppose 2*l - 8 = x*o - 7*o, o - 17 = -3*l. Solve 0*q + 4*q = -3*r - 8, r + l = 2*q for r.\n' | b'-4\n' | b'Let x = -1 - -4. Suppose 2*l - 8 = x*o - 7*o, o - 17 = -3*l. Solve 0*q + 4*q = -3*r - 8, r + l = 2*q for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((y**3*y)**(-37))**19 assuming y is positive.\n' | b'y**(-2812)\n' | b'Simplify ((y**3*y)**(-37))**19 assuming y is positive.\n' | b'y**(-2812)\n' | deepmind/math_dataset |
b'Suppose -2*a + 13 - 7 = 0. Solve 0 = a*s - 3, 4*b + 12 = 2*s + 2*s for b.\n' | b'-2\n' | b'Suppose -2*a + 13 - 7 = 0. Solve 0 = a*s - 3, 4*b + 12 = 2*s + 2*s for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0*z - 2*z - 4 = -2*u, 4*u = 20. Let a(n) be the third derivative of 0 + 0*n**4 + 1/6*n**z + 0*n + n**2 - 1/6*n**5. What is a(-1)?\n' | b'-9\n' | b'Suppose 0*z - 2*z - 4 = -2*u, 4*u = 20. Let a(n) be the third derivative of 0 + 0*n**4 + 1/6*n**z + 0*n + n**2 - 1/6*n**5. What is a(-1)?\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((m/(m/m**28))/m)**25 assuming m is positive.\n' | b'm**675\n' | b'Simplify ((m/(m/m**28))/m)**25 assuming m is positive.\n' | b'm**675\n' | deepmind/math_dataset |
b'Let w(t) = -2*t**2 - 70*t - 64. Let o be w(-34). Solve -6*z + z = 2*x + 16, -o*x = 6*z + 24 for x.\n' | b'-3\n' | b'Let w(t) = -2*t**2 - 70*t - 64. Let o be w(-34). Solve -6*z + z = 2*x + 16, -o*x = 6*z + 24 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from opo. Give prob of picking 1 p and 1 o.\n' | b'2/3\n' | b'Two letters picked without replacement from opo. Give prob of picking 1 p and 1 o.\n' | b'2/3\n' | deepmind/math_dataset |
b'Let f(p) = -p. Suppose 3*m + m = 56. Suppose -v - 3*y - m = 3*v, v + 4*y = 3. Let k be f(v). Let w(d) = -2*d + 4. What is w(k)?\n' | b'-6\n' | b'Let f(p) = -p. Suppose 3*m + m = 56. Suppose -v - 3*y - m = 3*v, v + 4*y = 3. Let k be f(v). Let w(d) = -2*d + 4. What is w(k)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify i**(18/7)*i**(-23)/i*(i**(-2)/i)**(-12/7) assuming i is positive.\n' | b'i**(-114/7)\n' | b'Simplify i**(18/7)*i**(-23)/i*(i**(-2)/i)**(-12/7) assuming i is positive.\n' | b'i**(-114/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {p: 7, c: 2, v: 3}.\n' | b'3/220\n' | b'Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {p: 7, c: 2, v: 3}.\n' | b'3/220\n' | deepmind/math_dataset |
b'Let a(w) = -w - 1. Let l be (-1 + 1)/(9 + -8). Suppose -1 = -l*m - m. Let y(v) = 5*v + 3. Let c(h) = m*y(h) + a(h). What is the derivative of c(f) wrt f?\n' | b'4\n' | b'Let a(w) = -w - 1. Let l be (-1 + 1)/(9 + -8). Suppose -1 = -l*m - m. Let y(v) = 5*v + 3. Let c(h) = m*y(h) + a(h). What is the derivative of c(f) wrt f?\n' | b'4\n' | deepmind/math_dataset |
b'Let b(c) be the third derivative of 13*c**9/126 + c**5/30 + 5*c**4/8 + 70*c**2. Find the third derivative of b(h) wrt h.\n' | b'6240*h**3\n' | b'Let b(c) be the third derivative of 13*c**9/126 + c**5/30 + 5*c**4/8 + 70*c**2. Find the third derivative of b(h) wrt h.\n' | b'6240*h**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 z when two letters picked without replacement from yxzmyyjxmyyymy?\n' | b'1/13\n' | b'What is prob of picking 1 y and 1 z when two letters picked without replacement from yxzmyyjxmyyymy?\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify (s*s**1*s)**(-8/15)/((s/s**(-1/6))/s**(-5/2))*((s*s**(-2/3)*s)/s**(-1/3))/(s**3*s**7) assuming s is positive.\n' | b's**(-68/5)\n' | b'Simplify (s*s**1*s)**(-8/15)/((s/s**(-1/6))/s**(-5/2))*((s*s**(-2/3)*s)/s**(-1/3))/(s**3*s**7) assuming s is positive.\n' | b's**(-68/5)\n' | deepmind/math_dataset |
b'Let w(h) = -73*h - 221. Let k(t) = -8*t**2 - 187*t - 72. Let p be k(-23). What is w(p)?\n' | b'-2\n' | b'Let w(h) = -73*h - 221. Let k(t) = -8*t**2 - 187*t - 72. Let p be k(-23). What is w(p)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let g = -14 - -16. Let p = g + -3. Let m(b) = -8*b - 1. Determine m(p).\n' | b'7\n' | b'Let g = -14 - -16. Let p = g + -3. Let m(b) = -8*b - 1. Determine m(p).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 0*y + 2*y = 0. Suppose b - 4*c - 28 + 7 = y, -c = 4. Suppose -11*j + 24 = -b*j. Let m(z) = z**3 - 4*z**2 + 4*z - 6. Calculate m(j).\n' | b'10\n' | b'Suppose 0*y + 2*y = 0. Suppose b - 4*c - 28 + 7 = y, -c = 4. Suppose -11*j + 24 = -b*j. Let m(z) = z**3 - 4*z**2 + 4*z - 6. Calculate m(j).\n' | b'10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ywwddndedndwg. What is prob of picking 1 n and 1 w?\n' | b'1/13\n' | b'Two letters picked without replacement from ywwddndedndwg. What is prob of picking 1 n and 1 w?\n' | b'1/13\n' | deepmind/math_dataset |
b'Simplify ((((d**0)**42)**(-13/4))**(3/5))**49 assuming d is positive.\n' | b'1\n' | b'Simplify ((((d**0)**42)**(-13/4))**(3/5))**49 assuming d is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let m(u) be the first derivative of -2*u**2 - 1/3*u**3 + 0*u + 2. Determine m(-4).\n' | b'0\n' | b'Let m(u) be the first derivative of -2*u**2 - 1/3*u**3 + 0*u + 2. Determine m(-4).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 30*f - 7*f = 2530. Suppose -104*d = -f*d + 24. Solve -5*c + d = 4*a - 2, 2*c = -a + 3 for c.\n' | b'2\n' | b'Suppose 30*f - 7*f = 2530. Suppose -104*d = -f*d + 24. Solve -5*c + d = 4*a - 2, 2*c = -a + 3 for c.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((v*v**(-4/7))/v)/(v/((v**14/v)/v))*(v**(-6)*v)**2 assuming v is positive.\n' | b'v**(3/7)\n' | b'Simplify ((v*v**(-4/7))/v)/(v/((v**14/v)/v))*(v**(-6)*v)**2 assuming v is positive.\n' | b'v**(3/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkzkrzzkkkzkk. Give prob of sequence kz.\n' | b'8/39\n' | b'Two letters picked without replacement from kkzkrzzkkkzkk. Give prob of sequence kz.\n' | b'8/39\n' | deepmind/math_dataset |
b'Let f be 6*1 - (-1 + 4). Suppose -b = -f*b. Let d(y) = y - 6. Determine d(b).\n' | b'-6\n' | b'Let f be 6*1 - (-1 + 4). Suppose -b = -f*b. Let d(y) = y - 6. Determine d(b).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eeeeyyy. What is prob of sequence eyyy?\n' | b'1/35\n' | b'Four letters picked without replacement from eeeeyyy. What is prob of sequence eyyy?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qppwpzwpzqq. Give prob of picking 1 q and 1 w.\n' | b'6/55\n' | b'Two letters picked without replacement from qppwpzwpzqq. Give prob of picking 1 q and 1 w.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let p(w) be the third derivative of 71*w**6/60 - w**5/15 + 229*w**3/6 + 1241*w**2. Differentiate p(i) wrt i.\n' | b'426*i**2 - 8*i\n' | b'Let p(w) be the third derivative of 71*w**6/60 - w**5/15 + 229*w**3/6 + 1241*w**2. Differentiate p(i) wrt i.\n' | b'426*i**2 - 8*i\n' | deepmind/math_dataset |
b'Simplify ((z**15/z)/z*z*z)/((z*z/(z*z*z**32/z)*z)/z)*(z*z/(z/(z/((z**(-26)*z)/z*z))))**(3/4) assuming z is positive.\n' | b'z**(265/4)\n' | b'Simplify ((z**15/z)/z*z*z)/((z*z/(z*z*z**32/z)*z)/z)*(z*z/(z/(z/((z**(-26)*z)/z*z))))**(3/4) assuming z is positive.\n' | b'z**(265/4)\n' | deepmind/math_dataset |
b'Simplify w**(7/8)/(w*w*w/w**(-2/5))*(w*w**(-2/55))/w**(-33) assuming w is positive.\n' | b'w**(13833/440)\n' | b'Simplify w**(7/8)/(w*w*w/w**(-2/5))*(w*w**(-2/55))/w**(-33) assuming w is positive.\n' | b'w**(13833/440)\n' | deepmind/math_dataset |
b'Let y(w) = 6*w**2 + 3*w. Let x = -19 - -23. Suppose -8*t - 12 = x. What is y(t)?\n' | b'18\n' | b'Let y(w) = 6*w**2 + 3*w. Let x = -19 - -23. Suppose -8*t - 12 = x. What is y(t)?\n' | b'18\n' | deepmind/math_dataset |
b'What is prob of picking 1 b and 1 u when two letters picked without replacement from {d: 2, l: 5, k: 1, u: 2, b: 2, f: 1}?\n' | b'2/39\n' | b'What is prob of picking 1 b and 1 u when two letters picked without replacement from {d: 2, l: 5, k: 1, u: 2, b: 2, f: 1}?\n' | b'2/39\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tgttsstttsgqssjstt. Give prob of sequence qgt.\n' | b'1/306\n' | b'Three letters picked without replacement from tgttsstttsgqssjstt. Give prob of sequence qgt.\n' | b'1/306\n' | deepmind/math_dataset |
b'Let t = -97 - -128. Solve -5*j + t = 2*v - 0*v, -2*v = 3*j - 21 for v.\n' | b'3\n' | b'Let t = -97 - -128. Solve -5*j + t = 2*v - 0*v, -2*v = 3*j - 21 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Find the first derivative of 7*q**4 + 2*q**4 - 5 - q**4 + 13 wrt q.\n' | b'32*q**3\n' | b'Find the first derivative of 7*q**4 + 2*q**4 - 5 - q**4 + 13 wrt q.\n' | b'32*q**3\n' | deepmind/math_dataset |
b'Simplify (c*c**(6/5)*c*c/(c*((c*c**(-4)*c)/c)/c))/((c*((c/(c/(c/((c*c**4)/c)))*c)/c)/c)/c**(-1)) assuming c is positive.\n' | b'c**(46/5)\n' | b'Simplify (c*c**(6/5)*c*c/(c*((c*c**(-4)*c)/c)/c))/((c*((c/(c/(c/((c*c**4)/c)))*c)/c)/c)/c**(-1)) assuming c is positive.\n' | b'c**(46/5)\n' | deepmind/math_dataset |
b'Let s = -440 - 44. Let p = s - -489. Solve -4*w - 6 = -4*h - 6*w, 2*h - 7 = -p*w for h.\n' | b'1\n' | b'Let s = -440 - 44. Let p = s - -489. Solve -4*w - 6 = -4*h - 6*w, 2*h - 7 = -p*w for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let l(z) be the second derivative of -425*z**4/6 + z**3/2 - 75*z**2 + 27*z - 5. What is the second derivative of l(g) wrt g?\n' | b'-1700\n' | b'Let l(z) be the second derivative of -425*z**4/6 + z**3/2 - 75*z**2 + 27*z - 5. What is the second derivative of l(g) wrt g?\n' | b'-1700\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 2, b: 3, e: 9, d: 3}. What is prob of sequence eqbe?\n' | b'9/1190\n' | b'Four letters picked without replacement from {q: 2, b: 3, e: 9, d: 3}. What is prob of sequence eqbe?\n' | b'9/1190\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 3 p when four letters picked without replacement from pkpplcl.\n' | b'1/35\n' | b'Calculate prob of picking 1 k and 3 p when four letters picked without replacement from pkpplcl.\n' | b'1/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pupuufz. Give prob of sequence pfp.\n' | b'1/105\n' | b'Three letters picked without replacement from pupuufz. Give prob of sequence pfp.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (((u*u**1)**(-46))**(-17/4))**10 assuming u is positive.\n' | b'u**3910\n' | b'Simplify (((u*u**1)**(-46))**(-17/4))**10 assuming u is positive.\n' | b'u**3910\n' | deepmind/math_dataset |
b'Simplify ((g/g**(-3))/((g**(-2)*g)/g))**(-7)*(g**(-1)*g)**(17/3)*((g**(2/17)*g)/g)/(g**(-1)/g) assuming g is positive.\n' | b'g**(-678/17)\n' | b'Simplify ((g/g**(-3))/((g**(-2)*g)/g))**(-7)*(g**(-1)*g)**(17/3)*((g**(2/17)*g)/g)/(g**(-1)/g) assuming g is positive.\n' | b'g**(-678/17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 3, d: 6, q: 1, a: 2, c: 2, n: 1}. What is prob of picking 1 t, 1 d, 1 n, and 1 c?\n' | b'12/455\n' | b'Four letters picked without replacement from {t: 3, d: 6, q: 1, a: 2, c: 2, n: 1}. What is prob of picking 1 t, 1 d, 1 n, and 1 c?\n' | b'12/455\n' | deepmind/math_dataset |
b'Suppose 5*l - 8 = l. Differentiate 4*j + 2 - 2*j + 2*j**4 - l*j with respect to j.\n' | b'8*j**3\n' | b'Suppose 5*l - 8 = l. Differentiate 4*j + 2 - 2*j + 2*j**4 - l*j with respect to j.\n' | b'8*j**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 3, f: 6, p: 2, j: 2, a: 2}. Give prob of picking 1 a and 2 j.\n' | b'2/455\n' | b'Three letters picked without replacement from {v: 3, f: 6, p: 2, j: 2, a: 2}. Give prob of picking 1 a and 2 j.\n' | b'2/455\n' | deepmind/math_dataset |
b'Simplify (((g**4*g**(-6))/(g**(-9)/g**(-8)))**(-4))**(-2/27) assuming g is positive.\n' | b'g**(-8/27)\n' | b'Simplify (((g**4*g**(-6))/(g**(-9)/g**(-8)))**(-4))**(-2/27) assuming g is positive.\n' | b'g**(-8/27)\n' | deepmind/math_dataset |
b'Let s be (4 + (-5 - -2))*0 - 4. Let z(p) = -p**2 - 7*p + 4. Calculate z(s).\n' | b'16\n' | b'Let s be (4 + (-5 - -2))*0 - 4. Let z(p) = -p**2 - 7*p + 4. Calculate z(s).\n' | b'16\n' | deepmind/math_dataset |
b'Let y(o) be the second derivative of -o**4/6 + 3*o**2 - o. What is the derivative of y(l) wrt l?\n' | b'-4*l\n' | b'Let y(o) be the second derivative of -o**4/6 + 3*o**2 - o. What is the derivative of y(l) wrt l?\n' | b'-4*l\n' | deepmind/math_dataset |
b'Let c(g) be the third derivative of 0*g + 0*g**5 + 44*g**2 + 13/12*g**4 + 0*g**3 + 0 - 1/20*g**6. Find the second derivative of c(a) wrt a.\n' | b'-36*a\n' | b'Let c(g) be the third derivative of 0*g + 0*g**5 + 44*g**2 + 13/12*g**4 + 0*g**3 + 0 - 1/20*g**6. Find the second derivative of c(a) wrt a.\n' | b'-36*a\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {l: 10, g: 3, f: 2, c: 1, v: 1, p: 1}.\n' | b'1/51\n' | b'Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {l: 10, g: 3, f: 2, c: 1, v: 1, p: 1}.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let m(y) be the first derivative of -y**3/3 + 7*y**2/2 + 24*y + 16. Let s be m(9). Solve k + 5*r = 28, -22 = k + r - s*r for k.\n' | b'3\n' | b'Let m(y) be the first derivative of -y**3/3 + 7*y**2/2 + 24*y + 16. Let s be m(9). Solve k + 5*r = 28, -22 = k + r - s*r for k.\n' | b'3\n' | deepmind/math_dataset |
b'Let w be (-99)/540 - (-2)/6. Let u(l) be the second derivative of 0*l**4 - w*l**5 + 0*l**3 + 0 - 3/2*l**2 - 2*l. Differentiate u(f) wrt f.\n' | b'-9*f**2\n' | b'Let w be (-99)/540 - (-2)/6. Let u(l) be the second derivative of 0*l**4 - w*l**5 + 0*l**3 + 0 - 3/2*l**2 - 2*l. Differentiate u(f) wrt f.\n' | b'-9*f**2\n' | deepmind/math_dataset |
b'Differentiate 8*w + 7*w + 5 + 3*w - 8*w wrt w.\n' | b'10\n' | b'Differentiate 8*w + 7*w + 5 + 3*w - 8*w wrt w.\n' | b'10\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 j when two letters picked without replacement from kysjj?\n' | b'1/5\n' | b'What is prob of picking 1 s and 1 j when two letters picked without replacement from kysjj?\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (n**(2/5))**(-10)/(n**(-18)/n*n*(n**(5/9)*n)/n) assuming n is positive.\n' | b'n**(121/9)\n' | b'Simplify (n**(2/5))**(-10)/(n**(-18)/n*n*(n**(5/9)*n)/n) assuming n is positive.\n' | b'n**(121/9)\n' | deepmind/math_dataset |
b'Suppose u = -3 - 0. Let n = -2 + 4. Let s(z) = n*z - 4*z + z. Give s(u).\n' | b'3\n' | b'Suppose u = -3 - 0. Let n = -2 + 4. Let s(z) = n*z - 4*z + z. Give s(u).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from fzzfzzzzfzzzqzfzfz. What is prob of sequence zqqf?\n' | b'0\n' | b'Four letters picked without replacement from fzzfzzzzfzzzqzfzfz. What is prob of sequence zqqf?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiihihiiiiihhi. What is prob of picking 2 i?\n' | b'45/91\n' | b'Two letters picked without replacement from iiihihiiiiihhi. What is prob of picking 2 i?\n' | b'45/91\n' | deepmind/math_dataset |
b'Let n(p) be the third derivative of p**6/120 - 3*p**5/20 + p**4/8 - 17*p**3/6 + 11*p**2. Let y be n(9). Solve -y = 2*a + b + b, 4*a - 15 = 3*b for a.\n' | b'0\n' | b'Let n(p) be the third derivative of p**6/120 - 3*p**5/20 + p**4/8 - 17*p**3/6 + 11*p**2. Let y be n(9). Solve -y = 2*a + b + b, 4*a - 15 = 3*b for a.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(s) = s**3 - 11*s**2 - 11*s - 16. Suppose -66*q + 348 = -37*q. What is r(q)?\n' | b'-4\n' | b'Let r(s) = s**3 - 11*s**2 - 11*s - 16. Suppose -66*q + 348 = -37*q. What is r(q)?\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, o: 1, x: 1, z: 1, l: 1, r: 2}. Give prob of sequence zx.\n' | b'1/42\n' | b'Two letters picked without replacement from {u: 1, o: 1, x: 1, z: 1, l: 1, r: 2}. Give prob of sequence zx.\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose 0 = -n - 3 + 7. Let g(c) = c**2 - 2*c + 9 + 19 - c - 22 + 0*c**2. Determine g(n).\n' | b'10\n' | b'Suppose 0 = -n - 3 + 7. Let g(c) = c**2 - 2*c + 9 + 19 - c - 22 + 0*c**2. Determine g(n).\n' | b'10\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.