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'Suppose 5*z - z = 8. Suppose -j = z*j - 9. Let l(q) = -q**3 - 3*q**2 + 6. Let a(v) = 2*v**3 + 2*v**2 + v - 7. Let h(s) = -2*a(s) - 3*l(s). What is h(j)?\n' | b'8\n' | b'Suppose 5*z - z = 8. Suppose -j = z*j - 9. Let l(q) = -q**3 - 3*q**2 + 6. Let a(v) = 2*v**3 + 2*v**2 + v - 7. Let h(s) = -2*a(s) - 3*l(s). What is h(j)?\n' | b'8\n' | deepmind/math_dataset |
b'Let d(u) = 4*u**2 - 15*u - 2. Let t(q) = 5*q**2 - 16*q - 2. Let o(f) = -6*d(f) + 5*t(f). Give o(-7).\n' | b'-19\n' | b'Let d(u) = 4*u**2 - 15*u - 2. Let t(q) = 5*q**2 - 16*q - 2. Let o(f) = -6*d(f) + 5*t(f). Give o(-7).\n' | b'-19\n' | deepmind/math_dataset |
b'Simplify ((k**(-17)*k)/k)/(k**(-2/3)*k*k)*k**(2/29)*k/k**(-12) assuming k is positive.\n' | b'k**(-458/87)\n' | b'Simplify ((k**(-17)*k)/k)/(k**(-2/3)*k*k)*k**(2/29)*k/k**(-12) assuming k is positive.\n' | b'k**(-458/87)\n' | deepmind/math_dataset |
b'Find the second derivative of 942*i - 295 - 166*i**2 + 766 - 940*i wrt i.\n' | b'-332\n' | b'Find the second derivative of 942*i - 295 - 166*i**2 + 766 - 940*i wrt i.\n' | b'-332\n' | deepmind/math_dataset |
b'Let j(u) = -4*u**3 - 17*u**2 - 12*u + 8. Let k(z) = 3*z**3 + 12*z**2 + 8*z - 5. Let a(v) = 7*j(v) + 10*k(v). Determine a(2).\n' | b'18\n' | b'Let j(u) = -4*u**3 - 17*u**2 - 12*u + 8. Let k(z) = 3*z**3 + 12*z**2 + 8*z - 5. Let a(v) = 7*j(v) + 10*k(v). Determine a(2).\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of sequence oo when two letters picked without replacement from ggwygoooooyo.\n' | b'5/22\n' | b'Calculate prob of sequence oo when two letters picked without replacement from ggwygoooooyo.\n' | b'5/22\n' | deepmind/math_dataset |
b'What is prob of sequence lttt when four letters picked without replacement from {l: 9, t: 9}?\n' | b'21/340\n' | b'What is prob of sequence lttt when four letters picked without replacement from {l: 9, t: 9}?\n' | b'21/340\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 13, a: 6}. What is prob of sequence ca?\n' | b'13/57\n' | b'Two letters picked without replacement from {c: 13, a: 6}. What is prob of sequence ca?\n' | b'13/57\n' | deepmind/math_dataset |
b'Find the third derivative of 4*x**3 - 17*x**2 - 2*x**6 + 176*x**4 - 176*x**4 wrt x.\n' | b'-240*x**3 + 24\n' | b'Find the third derivative of 4*x**3 - 17*x**2 - 2*x**6 + 176*x**4 - 176*x**4 wrt x.\n' | b'-240*x**3 + 24\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p, 1 z, and 1 e when three letters picked without replacement from {p: 1, k: 1, z: 1, e: 1, i: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 p, 1 z, and 1 e when three letters picked without replacement from {p: 1, k: 1, z: 1, e: 1, i: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let z = 5 - -1. Suppose -49 = -z*v + 65. Let b = v - 21. Let g(w) = 3*w**2 + w - 2. Determine g(b).\n' | b'8\n' | b'Let z = 5 - -1. Suppose -49 = -z*v + 65. Let b = v - 21. Let g(w) = 3*w**2 + w - 2. Determine g(b).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 0 = -5*i - 4 + 9. Let j be -1 + 6 + 6/(-2). Solve 3*c + i = j*o - 1, 0 = 4*o + 20 for c.\n' | b'-4\n' | b'Suppose 0 = -5*i - 4 + 9. Let j be -1 + 6 + 6/(-2). Solve 3*c + i = j*o - 1, 0 = 4*o + 20 for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (((a**7)**(-2/47))**(-2/61))**(-16/7) assuming a is positive.\n' | b'a**(-64/2867)\n' | b'Simplify (((a**7)**(-2/47))**(-2/61))**(-16/7) assuming a is positive.\n' | b'a**(-64/2867)\n' | deepmind/math_dataset |
b'Simplify (r*(r*r**(-12))/r)/r*r**(-1/27)/r assuming r is positive.\n' | b'r**(-352/27)\n' | b'Simplify (r*(r*r**(-12))/r)/r*r**(-1/27)/r assuming r is positive.\n' | b'r**(-352/27)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ti when two letters picked without replacement from itwwtwwtwwwwwwwwiw.\n' | b'1/51\n' | b'Calculate prob of sequence ti when two letters picked without replacement from itwwtwwtwwwwwwwwiw.\n' | b'1/51\n' | deepmind/math_dataset |
b'Simplify j*j**(6/13)*j**(1/5)*(j*(j*j*j*(j*j**(8/5)/j)/j*j)/j)/(j/j**(4/11)) assuming j is positive.\n' | b'j**(4022/715)\n' | b'Simplify j*j**(6/13)*j**(1/5)*(j*(j*j*j*(j*j**(8/5)/j)/j*j)/j)/(j/j**(4/11)) assuming j is positive.\n' | b'j**(4022/715)\n' | deepmind/math_dataset |
b'Let r(u) = u + 9. Let d(k) = 1. Let v(c) = -c - 19. Let t(b) = 6*d(b) + v(b). Let n(g) = 7*r(g) + 5*t(g). What is n(-6)?\n' | b'-14\n' | b'Let r(u) = u + 9. Let d(k) = 1. Let v(c) = -c - 19. Let t(b) = 6*d(b) + v(b). Let n(g) = 7*r(g) + 5*t(g). What is n(-6)?\n' | b'-14\n' | deepmind/math_dataset |
b'Simplify (c/(c*(c*c**(-12))/c))/(c*(c/(c*c**(-1/16)/c*c*c))/c) assuming c is positive.\n' | b'c**(207/16)\n' | b'Simplify (c/(c*(c*c**(-12))/c))/(c*(c/(c*c**(-1/16)/c*c*c))/c) assuming c is positive.\n' | b'c**(207/16)\n' | deepmind/math_dataset |
b'Let i = -162 - -165. Solve -3*r = 9 + i, 2*u + r - 2 = 0 for u.\n' | b'3\n' | b'Let i = -162 - -165. Solve -3*r = 9 + i, 2*u + r - 2 = 0 for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let c(s) = -s**3 - 6*s**2 - 4*s + 7. Suppose j + 2*i = -7, j - 2*i - 3*i = 0. Let u be c(j). Let x be 10/(u + (-4)/1). Let h(v) = -2*v - 2. Determine h(x).\n' | b'8\n' | b'Let c(s) = -s**3 - 6*s**2 - 4*s + 7. Suppose j + 2*i = -7, j - 2*i - 3*i = 0. Let u be c(j). Let x be 10/(u + (-4)/1). Let h(v) = -2*v - 2. Determine h(x).\n' | b'8\n' | deepmind/math_dataset |
b'Suppose 2*t - 1 + 3 = 0. Let b(p) = -12*p. Let n be b(t). Solve -5*q + n = 2*j, 2*j = 5*q - j - 7 for q.\n' | b'2\n' | b'Suppose 2*t - 1 + 3 = 0. Let b(p) = -12*p. Let n be b(t). Solve -5*q + n = 2*j, 2*j = 5*q - j - 7 for q.\n' | b'2\n' | deepmind/math_dataset |
b'Let z(x) be the first derivative of x**6/360 + x**5/12 - x**4/4 + 49*x**3/3 + 58. Let w(q) be the third derivative of z(q). Give w(-5).\n' | b'-31\n' | b'Let z(x) be the first derivative of x**6/360 + x**5/12 - x**4/4 + 49*x**3/3 + 58. Let w(q) be the third derivative of z(q). Give w(-5).\n' | b'-31\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 m and 1 n when four letters picked without replacement from mmuuumnu.\n' | b'1/70\n' | b'Calculate prob of picking 3 m and 1 n when four letters picked without replacement from mmuuumnu.\n' | b'1/70\n' | deepmind/math_dataset |
b'Calculate prob of sequence emem when four letters picked without replacement from {e: 3, m: 8}.\n' | b'7/165\n' | b'Calculate prob of sequence emem when four letters picked without replacement from {e: 3, m: 8}.\n' | b'7/165\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddndpdn. What is prob of sequence dn?\n' | b'4/21\n' | b'Two letters picked without replacement from ddndpdn. What is prob of sequence dn?\n' | b'4/21\n' | deepmind/math_dataset |
b'Let u(v) = -v**2 - 4*v + 3. Let f be u(-4). Let p(a) = -4 + 1 - 2*a**3 + 1 + 3*a**f + 5*a + 5*a**2. Calculate p(-4).\n' | b'-6\n' | b'Let u(v) = -v**2 - 4*v + 3. Let f be u(-4). Let p(a) = -4 + 1 - 2*a**3 + 1 + 3*a**f + 5*a + 5*a**2. Calculate p(-4).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, v: 1, d: 3, j: 2}. Give prob of picking 1 n and 1 v.\n' | b'1/21\n' | b'Two letters picked without replacement from {n: 1, v: 1, d: 3, j: 2}. Give prob of picking 1 n and 1 v.\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 7, h: 9}. Give prob of picking 2 e.\n' | b'7/40\n' | b'Two letters picked without replacement from {e: 7, h: 9}. Give prob of picking 2 e.\n' | b'7/40\n' | deepmind/math_dataset |
b'Simplify ((j/(j**(1/4)/j))**35)**(-3/20) assuming j is positive.\n' | b'j**(-147/16)\n' | b'Simplify ((j/(j**(1/4)/j))**35)**(-3/20) assuming j is positive.\n' | b'j**(-147/16)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 3, h: 6, w: 1, b: 5}. What is prob of picking 2 b and 1 h?\n' | b'12/91\n' | b'Three letters picked without replacement from {v: 3, h: 6, w: 1, b: 5}. What is prob of picking 2 b and 1 h?\n' | b'12/91\n' | deepmind/math_dataset |
b'What is prob of picking 2 f when two letters picked without replacement from {w: 4, f: 2}?\n' | b'1/15\n' | b'What is prob of picking 2 f when two letters picked without replacement from {w: 4, f: 2}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let x(v) = v**3 + 4*v**2 - v - 1. Let s be x(-4). Let z = s + 0. Find the third derivative of -2*a**z + a**3 + 0*a**2 - a**2 wrt a.\n' | b'-6\n' | b'Let x(v) = v**3 + 4*v**2 - v - 1. Let s be x(-4). Let z = s + 0. Find the third derivative of -2*a**z + a**3 + 0*a**2 - a**2 wrt a.\n' | b'-6\n' | deepmind/math_dataset |
b'Let w(j) = -68*j - 1. Let i(a) = -143*a - 2. Let f(m) = 10*i(m) - 21*w(m). What is f(-2)?\n' | b'5\n' | b'Let w(j) = -68*j - 1. Let i(a) = -143*a - 2. Let f(m) = 10*i(m) - 21*w(m). What is f(-2)?\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (n**9*n**(-3)*n*(n/(n/n**(-1)))/n**(-3))/(n/(n*n**8)*n**(5/6)*(n*n**(2/3))**(-5)) assuming n is positive.\n' | b'n**(49/2)\n' | b'Simplify (n**9*n**(-3)*n*(n/(n/n**(-1)))/n**(-3))/(n/(n*n**8)*n**(5/6)*(n*n**(2/3))**(-5)) assuming n is positive.\n' | b'n**(49/2)\n' | deepmind/math_dataset |
b'Let x(n) be the third derivative of -21*n**4/2 + 112*n**3/3 - 4*n**2 - 2. Differentiate x(t) wrt t.\n' | b'-252\n' | b'Let x(n) be the third derivative of -21*n**4/2 + 112*n**3/3 - 4*n**2 - 2. Differentiate x(t) wrt t.\n' | b'-252\n' | deepmind/math_dataset |
b'What is prob of picking 1 t, 1 c, and 1 n when three letters picked without replacement from {m: 1, c: 1, q: 1, a: 1, t: 1, n: 2}?\n' | b'2/35\n' | b'What is prob of picking 1 t, 1 c, and 1 n when three letters picked without replacement from {m: 1, c: 1, q: 1, a: 1, t: 1, n: 2}?\n' | b'2/35\n' | deepmind/math_dataset |
b'Find the second derivative of -3650*q - 1966*q**5 + 212*q**2 - 439*q**2 + 227*q**2 wrt q.\n' | b'-39320*q**3\n' | b'Find the second derivative of -3650*q - 1966*q**5 + 212*q**2 - 439*q**2 + 227*q**2 wrt q.\n' | b'-39320*q**3\n' | deepmind/math_dataset |
b'Let s = -56 + 58. Find the second derivative of -16*j - s*j**2 - j + 16*j**2 wrt j.\n' | b'28\n' | b'Let s = -56 + 58. Find the second derivative of -16*j - s*j**2 - j + 16*j**2 wrt j.\n' | b'28\n' | deepmind/math_dataset |
b'Let y be -222 - -239 - (-3 - -1). Solve -y = 4*l + r, l = -0*l - r - 7 for l.\n' | b'-4\n' | b'Let y be -222 - -239 - (-3 - -1). Solve -y = 4*l + r, l = -0*l - r - 7 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q be 8/12 + (-16)/(-3). Let a(x) = 5*x. Let m(w) = -6*w. Suppose 5*b - 6 = -5*f - 1, -4*b = 2*f - 12. Let d(k) = b*a(k) + 4*m(k). Determine d(q).\n' | b'6\n' | b'Let q be 8/12 + (-16)/(-3). Let a(x) = 5*x. Let m(w) = -6*w. Suppose 5*b - 6 = -5*f - 1, -4*b = 2*f - 12. Let d(k) = b*a(k) + 4*m(k). Determine d(q).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify l**(7/4)*l**(7/4) assuming l is positive.\n' | b'l**(7/2)\n' | b'Simplify l**(7/4)*l**(7/4) assuming l is positive.\n' | b'l**(7/2)\n' | deepmind/math_dataset |
b'Let j(k) = -k + 10. Let v be j(7). Let q = -6 + 13. Suppose -3*m = -q*m + 8. Solve -h + m*y + v = -0, 0 = 2*h - 3*y - 4 for h.\n' | b'-1\n' | b'Let j(k) = -k + 10. Let v be j(7). Let q = -6 + 13. Suppose -3*m = -q*m + 8. Solve -h + m*y + v = -0, 0 = 2*h - 3*y - 4 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 d, 1 h, and 1 y when four letters picked without replacement from yqhedebybyyqeedyy?\n' | b'3/1190\n' | b'What is prob of picking 2 d, 1 h, and 1 y when four letters picked without replacement from yqhedebybyyqeedyy?\n' | b'3/1190\n' | deepmind/math_dataset |
b'Suppose -46 = -28*l + 22*l - 4*u, -19 = -l + 5*u. Let w(q) = -q - 1. What is w(l)?\n' | b'-10\n' | b'Suppose -46 = -28*l + 22*l - 4*u, -19 = -l + 5*u. Let w(q) = -q - 1. What is w(l)?\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (v**(-15)*v**(5/3))**1 assuming v is positive.\n' | b'v**(-40/3)\n' | b'Simplify (v**(-15)*v**(5/3))**1 assuming v is positive.\n' | b'v**(-40/3)\n' | deepmind/math_dataset |
b'Suppose -15*z - z + 882 - 818 = 0. Solve 4*x + 4*g + 4 = 0, x - z*g + g = -9 for x.\n' | b'-3\n' | b'Suppose -15*z - z + 882 - 818 = 0. Solve 4*x + 4*g + 4 = 0, x - z*g + g = -9 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hgxxxgpphhpgx. What is prob of sequence hxxp?\n' | b'9/1430\n' | b'Four letters picked without replacement from hgxxxgpphhpgx. What is prob of sequence hxxp?\n' | b'9/1430\n' | deepmind/math_dataset |
b'Let n(m) be the first derivative of -m**6/6 + m**5/20 - 213*m**2/2 - 224*m - 93. Let q(f) be the first derivative of n(f). Differentiate q(r) with respect to r.\n' | b'-20*r**3 + 3*r**2\n' | b'Let n(m) be the first derivative of -m**6/6 + m**5/20 - 213*m**2/2 - 224*m - 93. Let q(f) be the first derivative of n(f). Differentiate q(r) with respect to r.\n' | b'-20*r**3 + 3*r**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, n: 1}.\n' | b'1/3\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, n: 1}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let s(x) = -3*x**2 - 27*x - 19. Let d(y) = -5*y**2 - 41*y - 29. Let h(l) = -5*d(l) + 8*s(l). Let z = 68463 + -68453. What is h(z)?\n' | b'-17\n' | b'Let s(x) = -3*x**2 - 27*x - 19. Let d(y) = -5*y**2 - 41*y - 29. Let h(l) = -5*d(l) + 8*s(l). Let z = 68463 + -68453. What is h(z)?\n' | b'-17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rvrrvrvvrrvvvvvr. Give prob of picking 3 r.\n' | b'1/16\n' | b'Three letters picked without replacement from rvrrvrvvrrvvvvvr. Give prob of picking 3 r.\n' | b'1/16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ooooooooo. What is prob of picking 3 o?\n' | b'1\n' | b'Three letters picked without replacement from ooooooooo. What is prob of picking 3 o?\n' | b'1\n' | deepmind/math_dataset |
b'Let z(y) = 4*y + 12. Let f = -283 - -307. Let k be -17 + 400/f + 64/(-6). What is z(k)?\n' | b'-32\n' | b'Let z(y) = 4*y + 12. Let f = -283 - -307. Let k be -17 + 400/f + 64/(-6). What is z(k)?\n' | b'-32\n' | deepmind/math_dataset |
b'Let h(f) = -9*f**3. Let s be h(1). Suppose -4*o = -3*d - 0*o + 56, -4*o = -5*d + 80. Let l = s + d. Solve l*c = 5*n + 8 + 1, 0 = -5*c + 2*n - 4 for c.\n' | b'-2\n' | b'Let h(f) = -9*f**3. Let s be h(1). Suppose -4*o = -3*d - 0*o + 56, -4*o = -5*d + 80. Let l = s + d. Solve l*c = 5*n + 8 + 1, 0 = -5*c + 2*n - 4 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Let u be (-2)/(-10) - 9/(-5). Let v(i) = i**2 + 4*i + 0 - 3 - 2*i**u + 0. Suppose 4*b - 6*b + 8 = 0. Give v(b).\n' | b'-3\n' | b'Let u be (-2)/(-10) - 9/(-5). Let v(i) = i**2 + 4*i + 0 - 3 - 2*i**u + 0. Suppose 4*b - 6*b + 8 = 0. Give v(b).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((i/(i**(8/7)/i))/i)**(-5/9)*(i*i**(-18))**(-3/19) assuming i is positive.\n' | b'i**(3308/1197)\n' | b'Simplify ((i/(i**(8/7)/i))/i)**(-5/9)*(i*i**(-18))**(-3/19) assuming i is positive.\n' | b'i**(3308/1197)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jjjjjsljldjjjj. What is prob of picking 1 s and 1 l?\n' | b'2/91\n' | b'Two letters picked without replacement from jjjjjsljldjjjj. What is prob of picking 1 s and 1 l?\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify (u/(u*u*u**(1/19)))/u**(7/5)*u**11*u*u**(1/5)/u assuming u is positive.\n' | b'u**(831/95)\n' | b'Simplify (u/(u*u*u**(1/19)))/u**(7/5)*u**11*u*u**(1/5)/u assuming u is positive.\n' | b'u**(831/95)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 1, w: 1, f: 6, a: 11}. What is prob of picking 1 w, 1 y, and 2 f?\n' | b'5/1292\n' | b'Four letters picked without replacement from {y: 1, w: 1, f: 6, a: 11}. What is prob of picking 1 w, 1 y, and 2 f?\n' | b'5/1292\n' | deepmind/math_dataset |
b'What is prob of picking 1 b, 2 e, and 1 k when four letters picked without replacement from {e: 7, x: 2, t: 2, k: 1, b: 6}?\n' | b'7/170\n' | b'What is prob of picking 1 b, 2 e, and 1 k when four letters picked without replacement from {e: 7, x: 2, t: 2, k: 1, b: 6}?\n' | b'7/170\n' | deepmind/math_dataset |
b'Let h(o) = -o**2 - 14*o - 12. Let m be h(-12). Solve 0 = -4*t + 4*z + m, -t = 2*t + z - 13 for t.\n' | b'4\n' | b'Let h(o) = -o**2 - 14*o - 12. Let m be h(-12). Solve 0 = -4*t + 4*z + m, -t = 2*t + z - 13 for t.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence uua when three letters picked without replacement from {a: 3, u: 4}?\n' | b'6/35\n' | b'What is prob of sequence uua when three letters picked without replacement from {a: 3, u: 4}?\n' | b'6/35\n' | deepmind/math_dataset |
b'Let h(m) = -m**3 - m**2 + 2*m + 3. Let r be h(-2). Find the second derivative of -4 + 4 + r*l**4 - 2*l wrt l.\n' | b'36*l**2\n' | b'Let h(m) = -m**3 - m**2 + 2*m + 3. Let r be h(-2). Find the second derivative of -4 + 4 + r*l**4 - 2*l wrt l.\n' | b'36*l**2\n' | deepmind/math_dataset |
b'Let b(o) = 12*o**4 - 7*o**2 - 6*o - 6. Let w(m) = -m**4 + m + 1. Let c(n) = b(n) + 6*w(n). What is the third derivative of c(a) wrt a?\n' | b'144*a\n' | b'Let b(o) = 12*o**4 - 7*o**2 - 6*o - 6. Let w(m) = -m**4 + m + 1. Let c(n) = b(n) + 6*w(n). What is the third derivative of c(a) wrt a?\n' | b'144*a\n' | deepmind/math_dataset |
b'Let x(a) be the third derivative of -3*a**8/112 - a**5/6 - 22*a**2. What is the third derivative of x(s) wrt s?\n' | b'-540*s**2\n' | b'Let x(a) be the third derivative of -3*a**8/112 - a**5/6 - 22*a**2. What is the third derivative of x(s) wrt s?\n' | b'-540*s**2\n' | deepmind/math_dataset |
b'Let z be 14/4 + (-5)/10. Suppose z*w = 2*w - 5. Let r(v) be the second derivative of -v**4/12 - 7*v**3/6 - 2*v**2 + v. What is r(w)?\n' | b'6\n' | b'Let z be 14/4 + (-5)/10. Suppose z*w = 2*w - 5. Let r(v) be the second derivative of -v**4/12 - 7*v**3/6 - 2*v**2 + v. What is r(w)?\n' | b'6\n' | deepmind/math_dataset |
b'Let v be -2*(-1169)/182 - 2/(-13). Suppose 19 = -t + 5*t + u, 3*t - v = -u. Let g(f) = -2*f - 14. Let x(c) = -c - 13. Let m(s) = 2*g(s) - 3*x(s). What is m(t)?\n' | b'5\n' | b'Let v be -2*(-1169)/182 - 2/(-13). Suppose 19 = -t + 5*t + u, 3*t - v = -u. Let g(f) = -2*f - 14. Let x(c) = -c - 13. Let m(s) = 2*g(s) - 3*x(s). What is m(t)?\n' | b'5\n' | deepmind/math_dataset |
b'Let c(o) = -o - 13. Let v be c(-4). Let d(w) = w**2 + 11*w + 2. Give d(v).\n' | b'-16\n' | b'Let c(o) = -o - 13. Let v be c(-4). Let d(w) = w**2 + 11*w + 2. Give d(v).\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify ((l/l**(-8/3))/l)**(-42)*((l/(l**6/l))/l)**50 assuming l is positive.\n' | b'l**(-362)\n' | b'Simplify ((l/l**(-8/3))/l)**(-42)*((l/(l**6/l))/l)**50 assuming l is positive.\n' | b'l**(-362)\n' | deepmind/math_dataset |
b'Simplify (z**(2/7)*z)/(z**(-1/2)*z) assuming z is positive.\n' | b'z**(11/14)\n' | b'Simplify (z**(2/7)*z)/(z**(-1/2)*z) assuming z is positive.\n' | b'z**(11/14)\n' | deepmind/math_dataset |
b'Let g(d) be the second derivative of d**4/12 - 5*d**3/2 - 5*d**2 - 1785*d. Calculate g(6).\n' | b'-64\n' | b'Let g(d) be the second derivative of d**4/12 - 5*d**3/2 - 5*d**2 - 1785*d. Calculate g(6).\n' | b'-64\n' | deepmind/math_dataset |
b'Simplify (r*r**(4/5)*r*r**(-13)*r)/(r**(-5/2)/(r**9/r)) assuming r is positive.\n' | b'r**(13/10)\n' | b'Simplify (r*r**(4/5)*r*r**(-13)*r)/(r**(-5/2)/(r**9/r)) assuming r is positive.\n' | b'r**(13/10)\n' | deepmind/math_dataset |
b'Suppose -119*i + 2054 = 1336 - 3328. Let v(w) be the second derivative of 1/3*w**3 + 2 - 13*w**2 + 3/4*w**4 - i*w. Differentiate v(n) with respect to n.\n' | b'18*n + 2\n' | b'Suppose -119*i + 2054 = 1336 - 3328. Let v(w) be the second derivative of 1/3*w**3 + 2 - 13*w**2 + 3/4*w**4 - i*w. Differentiate v(n) with respect to n.\n' | b'18*n + 2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ayazazaza. What is prob of sequence za?\n' | b'5/24\n' | b'Two letters picked without replacement from ayazazaza. What is prob of sequence za?\n' | b'5/24\n' | deepmind/math_dataset |
b'Let z(k) = 7*k**2 + 15*k + 28. Let r(g) = 10*g**2 + 23*g + 42. Suppose -2*v + 2*h - 20 = 0, 20 = -2*v - 3*v - h. Let x(c) = v*r(c) + 7*z(c). What is x(-10)?\n' | b'-14\n' | b'Let z(k) = 7*k**2 + 15*k + 28. Let r(g) = 10*g**2 + 23*g + 42. Suppose -2*v + 2*h - 20 = 0, 20 = -2*v - 3*v - h. Let x(c) = v*r(c) + 7*z(c). What is x(-10)?\n' | b'-14\n' | deepmind/math_dataset |
b'Let y be 3/(9/30) - 2/1. Let g be -5 + y - (0 - 2). Solve -4*r + 0 = -2*k + 4, g*k + 6 = 2*r for r.\n' | b'-2\n' | b'Let y be 3/(9/30) - 2/1. Let g be -5 + y - (0 - 2). Solve -4*r + 0 = -2*k + 4, g*k + 6 = 2*r for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -n + 5*u + 15, -4*u - 18 = -2*n - 0. What is the third derivative of -24*j**2 + 0*j**2 - 4*j**5 + 0*j**2 + 6*j**n wrt j?\n' | b'120*j**2\n' | b'Suppose 0 = -n + 5*u + 15, -4*u - 18 = -2*n - 0. What is the third derivative of -24*j**2 + 0*j**2 - 4*j**5 + 0*j**2 + 6*j**n wrt j?\n' | b'120*j**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mzmmmmmm. Give prob of sequence mz.\n' | b'1/8\n' | b'Two letters picked without replacement from mzmmmmmm. Give prob of sequence mz.\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 n when two letters picked without replacement from {n: 4, c: 4, e: 7}?\n' | b'4/15\n' | b'What is prob of picking 1 e and 1 n when two letters picked without replacement from {n: 4, c: 4, e: 7}?\n' | b'4/15\n' | deepmind/math_dataset |
b'What is prob of sequence yk when two letters picked without replacement from bhbbiibiiky?\n' | b'1/110\n' | b'What is prob of sequence yk when two letters picked without replacement from bhbbiibiiky?\n' | b'1/110\n' | deepmind/math_dataset |
b'Let f(j) = -4*j + 5. Let i(u) = -30*u + 36. Let q(r) = 44*f(r) - 6*i(r). What is q(5)?\n' | b'24\n' | b'Let f(j) = -4*j + 5. Let i(u) = -30*u + 36. Let q(r) = 44*f(r) - 6*i(r). What is q(5)?\n' | b'24\n' | deepmind/math_dataset |
b'Simplify (l**(-7)*l)/l**17*(l/(l*l**4*l))**(-43) assuming l is positive.\n' | b'l**192\n' | b'Simplify (l**(-7)*l)/l**17*(l/(l*l**4*l))**(-43) assuming l is positive.\n' | b'l**192\n' | deepmind/math_dataset |
b'Suppose 4*s + 13 = -b + 5, 0 = -s + 2. Let v = b - -2. Let q = -20 - v. Let a(o) = -o**2 - 7*o - 7. Calculate a(q).\n' | b'-1\n' | b'Suppose 4*s + 13 = -b + 5, 0 = -s + 2. Let v = b - -2. Let q = -20 - v. Let a(o) = -o**2 - 7*o - 7. Calculate a(q).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (j/(j/(j**(-2/5)/j*j)))**(-4)*(j*j*j**(-5/6)*j)/(j*j**(-7))*(((j/(j/(j**7*j)))/j)/(j/j**(-1)))/(j/(j**0*j))**(2/25) assuming j is positive.\n' | b'j**(443/30)\n' | b'Simplify (j/(j/(j**(-2/5)/j*j)))**(-4)*(j*j*j**(-5/6)*j)/(j*j**(-7))*(((j/(j/(j**7*j)))/j)/(j/j**(-1)))/(j/(j**0*j))**(2/25) assuming j is positive.\n' | b'j**(443/30)\n' | deepmind/math_dataset |
b'Suppose 4*c = -0*c + 12. Solve -3*n + 3*i = -27, -n + c*i + 5 + 12 = 0 for n.\n' | b'5\n' | b'Suppose 4*c = -0*c + 12. Solve -3*n + 3*i = -27, -n + c*i + 5 + 12 = 0 for n.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 y when two letters picked without replacement from fqnxfffyyfffxi.\n' | b'2/91\n' | b'Calculate prob of picking 1 i and 1 y when two letters picked without replacement from fqnxfffyyfffxi.\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify (s/s**0)**(-40)*s**(-2)/s*s**(-1/2)*s**6/s**(-1/3)*s**(-5)*s*s*s**0*s assuming s is positive.\n' | b's**(-235/6)\n' | b'Simplify (s/s**0)**(-40)*s**(-2)/s*s**(-1/2)*s**6/s**(-1/3)*s**(-5)*s*s*s**0*s assuming s is positive.\n' | b's**(-235/6)\n' | deepmind/math_dataset |
b'Let l(q) be the first derivative of 1/2*q**2 - 12*q + 290. Calculate l(11).\n' | b'-1\n' | b'Let l(q) be the first derivative of 1/2*q**2 - 12*q + 290. Calculate l(11).\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence wrs when three letters picked without replacement from syurssw?\n' | b'1/70\n' | b'What is prob of sequence wrs when three letters picked without replacement from syurssw?\n' | b'1/70\n' | deepmind/math_dataset |
b'What is prob of sequence qlx when three letters picked without replacement from {x: 2, q: 2, l: 1}?\n' | b'1/15\n' | b'What is prob of sequence qlx when three letters picked without replacement from {x: 2, q: 2, l: 1}?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of sequence rkzr when four letters picked without replacement from rrzkk?\n' | b'1/30\n' | b'What is prob of sequence rkzr when four letters picked without replacement from rrzkk?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let q(u) = 7*u. Let b be (2 - -1) + (3 - 1) + -293. Let v = 284 + b. Give q(v).\n' | b'-28\n' | b'Let q(u) = 7*u. Let b be (2 - -1) + (3 - 1) + -293. Let v = 284 + b. Give q(v).\n' | b'-28\n' | deepmind/math_dataset |
b'Let r be (-12 - -20) + (0 - -4). Let z be 6/33 - 20/(-11). What is the third derivative of 31*g**z + 10*g**5 + 2*g**5 - 4*g**2 + r*g**5 wrt g?\n' | b'1440*g**2\n' | b'Let r be (-12 - -20) + (0 - -4). Let z be 6/33 - 20/(-11). What is the third derivative of 31*g**z + 10*g**5 + 2*g**5 - 4*g**2 + r*g**5 wrt g?\n' | b'1440*g**2\n' | deepmind/math_dataset |
b'Let t = -7 - -13. Let v(s) = 4*s**2 + 93*s + 0*s**2 - 101*s + 12 - 3*s**2. Let a be v(t). Solve a = 4*u - 2*j - 4, -4 = 2*u - 5*j + 2 for u.\n' | b'2\n' | b'Let t = -7 - -13. Let v(s) = 4*s**2 + 93*s + 0*s**2 - 101*s + 12 - 3*s**2. Let a be v(t). Solve a = 4*u - 2*j - 4, -4 = 2*u - 5*j + 2 for u.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3 = -3*i + 15. Suppose 35 = 5*j + 9571*f - 9566*f, 19 = 2*j + 3*f. Solve -j*m - i = -4*w, 4*w = m - 0*m + 11 for m.\n' | b'5\n' | b'Suppose -3 = -3*i + 15. Suppose 35 = 5*j + 9571*f - 9566*f, 19 = 2*j + 3*f. Solve -j*m - i = -4*w, 4*w = m - 0*m + 11 for m.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence odod when four letters picked without replacement from ddddoo.\n' | b'1/15\n' | b'Calculate prob of sequence odod when four letters picked without replacement from ddddoo.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 h when two letters picked without replacement from {h: 5, g: 2, l: 8}?\n' | b'2/21\n' | b'What is prob of picking 1 g and 1 h when two letters picked without replacement from {h: 5, g: 2, l: 8}?\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose 6444 = -435*u + 793*u. Solve -3*j + 3*n = u, -n - 22 = -3*j - 6*n for j.\n' | b'-1\n' | b'Suppose 6444 = -435*u + 793*u. Solve -3*j + 3*n = u, -n - 22 = -3*j - 6*n for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence yy when two letters picked without replacement from {e: 1, y: 8, j: 11}.\n' | b'14/95\n' | b'Calculate prob of sequence yy when two letters picked without replacement from {e: 1, y: 8, j: 11}.\n' | b'14/95\n' | deepmind/math_dataset |
b'Suppose 0 = -2*u - 4*w - 10, -5*w - 10 - 15 = 0. Solve -3*n - 12 = -u*a, a = -n + 4*n + 12 for n.\n' | b'-4\n' | b'Suppose 0 = -2*u - 4*w - 10, -5*w - 10 - 15 = 0. Solve -3*n - 12 = -u*a, a = -n + 4*n + 12 for n.\n' | b'-4\n' | deepmind/math_dataset |
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