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'Simplify (j/(j*j**(1/2)))/(j**(1/3)/j)*j**(-5)*j*j**(-5) assuming j is positive.\n' | b'j**(-53/6)\n' | b'Simplify (j/(j*j**(1/2)))/(j**(1/3)/j)*j**(-5)*j*j**(-5) assuming j is positive.\n' | b'j**(-53/6)\n' | deepmind/math_dataset |
b'What is prob of sequence czry when four letters picked without replacement from zycccyrc?\n' | b'1/210\n' | b'What is prob of sequence czry when four letters picked without replacement from zycccyrc?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let l(z) be the second derivative of -128*z + 59/2*z**2 + 0*z**5 + 0*z**3 + 0*z**4 + 0 + 52/15*z**6. What is the derivative of l(f) wrt f?\n' | b'416*f**3\n' | b'Let l(z) be the second derivative of -128*z + 59/2*z**2 + 0*z**5 + 0*z**3 + 0*z**4 + 0 + 52/15*z**6. What is the derivative of l(f) wrt f?\n' | b'416*f**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 4, f: 1, d: 6, o: 3, z: 2}. Give prob of picking 2 z.\n' | b'1/120\n' | b'Two letters picked without replacement from {j: 4, f: 1, d: 6, o: 3, z: 2}. Give prob of picking 2 z.\n' | b'1/120\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzzpdpzp. Give prob of picking 3 p and 1 d.\n' | b'1/70\n' | b'Four letters picked without replacement from zzzpdpzp. Give prob of picking 3 p and 1 d.\n' | b'1/70\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hvqdqdhqq. Give prob of picking 2 h and 2 d.\n' | b'1/126\n' | b'Four letters picked without replacement from hvqdqdhqq. Give prob of picking 2 h and 2 d.\n' | b'1/126\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oqcccoc. What is prob of picking 1 q and 2 c?\n' | b'6/35\n' | b'Three letters picked without replacement from oqcccoc. What is prob of picking 1 q and 2 c?\n' | b'6/35\n' | deepmind/math_dataset |
b'Let p(k) = -2*k + 12. Let m(q) = 16*q - 43. Let f(u) = -11*u + 28. Let t(i) = 7*f(i) + 5*m(i). Let s(v) = -5*p(v) - 3*t(v). Calculate s(13).\n' | b'10\n' | b'Let p(k) = -2*k + 12. Let m(q) = 16*q - 43. Let f(u) = -11*u + 28. Let t(i) = 7*f(i) + 5*m(i). Let s(v) = -5*p(v) - 3*t(v). Calculate s(13).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose 5*j - 4*g - 26 = 0, -2*j + 3*g = -0*j - 16. Suppose 4 = -2*x - 4. Let t = j - x. Let k(n) = 2*n - 4. Give k(t).\n' | b'8\n' | b'Suppose 5*j - 4*g - 26 = 0, -2*j + 3*g = -0*j - 16. Suppose 4 = -2*x - 4. Let t = j - x. Let k(n) = 2*n - 4. Give k(t).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify ((u/u**(3/5))/u)/(u*u**2)*u**(-4)/(u/u**(-5/4)) assuming u is positive.\n' | b'u**(-197/20)\n' | b'Simplify ((u/u**(3/5))/u)/(u*u**2)*u**(-4)/(u/u**(-5/4)) assuming u is positive.\n' | b'u**(-197/20)\n' | deepmind/math_dataset |
b'Suppose 3*r + 19 = -3*q - 2*q, r + 18 = -4*q. Let a = -43 + 35. Let c be a/(-28) - 33/(-7). Solve -r*v + c*k + 14 = 0, 3*v - k - 16 = 7*v for v.\n' | b'-3\n' | b'Suppose 3*r + 19 = -3*q - 2*q, r + 18 = -4*q. Let a = -43 + 35. Let c be a/(-28) - 33/(-7). Solve -r*v + c*k + 14 = 0, 3*v - k - 16 = 7*v for v.\n' | b'-3\n' | deepmind/math_dataset |
b'Let h = -1/170 + 128/85. Let z(b) be the first derivative of 0*b - 3/2*b**4 - h*b**2 + 3 + 0*b**3. Find the second derivative of z(k) wrt k.\n' | b'-36*k\n' | b'Let h = -1/170 + 128/85. Let z(b) be the first derivative of 0*b - 3/2*b**4 - h*b**2 + 3 + 0*b**3. Find the second derivative of z(k) wrt k.\n' | b'-36*k\n' | deepmind/math_dataset |
b'Let u(d) be the second derivative of -d**6/15 - 83*d**5/5 - 12097*d**2/2 - 56*d - 29. Find the first derivative of u(z) wrt z.\n' | b'-8*z**3 - 996*z**2\n' | b'Let u(d) be the second derivative of -d**6/15 - 83*d**5/5 - 12097*d**2/2 - 56*d - 29. Find the first derivative of u(z) wrt z.\n' | b'-8*z**3 - 996*z**2\n' | deepmind/math_dataset |
b'Simplify (f/(f*f**(1/46))*f/(f**(1/8)*f))/(f**0/(f/(f/(f*f/((f*(f/(f/(f/f**(-6))))/f*f)/f)*f)))) assuming f is positive.\n' | b'f**(-763/184)\n' | b'Simplify (f/(f*f**(1/46))*f/(f**(1/8)*f))/(f**0/(f/(f/(f*f/((f*(f/(f/(f/f**(-6))))/f*f)/f)*f)))) assuming f is positive.\n' | b'f**(-763/184)\n' | deepmind/math_dataset |
b'Let k be (104/39)/((-1)/(-3)). Suppose k*v + 3*v = -13*v. Let z(t) = t**2 + 8. What is z(v)?\n' | b'8\n' | b'Let k be (104/39)/((-1)/(-3)). Suppose k*v + 3*v = -13*v. Let z(t) = t**2 + 8. What is z(v)?\n' | b'8\n' | deepmind/math_dataset |
b'Suppose -3*v = o - 11, -3*o - 1 - 1 = 2*v. Let h be (v/10*-13)/((-2)/4). Solve 4*b - 2*i = 3*i - 19, -b - h = -4*i for b.\n' | b'-1\n' | b'Suppose -3*v = o - 11, -3*o - 1 - 1 = 2*v. Let h be (v/10*-13)/((-2)/4). Solve 4*b - 2*i = 3*i - 19, -b - h = -4*i for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g be 1/3 + 2/(-6). Suppose g*z - z = -3. Suppose -13 = -4*a + 11. Solve 11 = -3*x - 4*l, -z*x + l - a - 10 = 0 for x.\n' | b'-5\n' | b'Let g be 1/3 + 2/(-6). Suppose g*z - z = -3. Suppose -13 = -4*a + 11. Solve 11 = -3*x - 4*l, -z*x + l - a - 10 = 0 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from usqssqsnqius. What is prob of sequence uqiq?\n' | b'1/990\n' | b'Four letters picked without replacement from usqssqsnqius. What is prob of sequence uqiq?\n' | b'1/990\n' | deepmind/math_dataset |
b'Let h(n) = 3*n**2 - 3*n + 4. Let d be h(2). Let x = 2 + d. Let c be (-3 - 2)*8/(-10). Solve -c*l = -l + x, 4*v = -l - 4 for v.\n' | b'0\n' | b'Let h(n) = 3*n**2 - 3*n + 4. Let d be h(2). Let x = 2 + d. Let c be (-3 - 2)*8/(-10). Solve -c*l = -l + x, 4*v = -l - 4 for v.\n' | b'0\n' | deepmind/math_dataset |
b'Let c be (14/35)/((-80)/(-75) + (-4 - -3)). Solve -p - c = -2*k + 8, -k + 17 = -3*p for k.\n' | b'5\n' | b'Let c be (14/35)/((-80)/(-75) + (-4 - -3)). Solve -p - c = -2*k + 8, -k + 17 = -3*p for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let i(q) be the third derivative of -q**6/3 + 7*q**4/24 + q**3/3 + 56*q**2 - q. Find the second derivative of i(s) wrt s.\n' | b'-240*s\n' | b'Let i(q) be the third derivative of -q**6/3 + 7*q**4/24 + q**3/3 + 56*q**2 - q. Find the second derivative of i(s) wrt s.\n' | b'-240*s\n' | deepmind/math_dataset |
b'Two letters picked without replacement from irziszzmrrisizizi. What is prob of picking 1 m and 1 r?\n' | b'3/136\n' | b'Two letters picked without replacement from irziszzmrrisizizi. What is prob of picking 1 m and 1 r?\n' | b'3/136\n' | deepmind/math_dataset |
b'Simplify (j**6*j*j*j**10*j*j**(-6)*j*j*j*j**3)**4 assuming j is positive.\n' | b'j**76\n' | b'Simplify (j**6*j*j*j**10*j*j**(-6)*j*j*j*j**3)**4 assuming j is positive.\n' | b'j**76\n' | deepmind/math_dataset |
b'Suppose 2*c - 23 = -4*q + c, -c - 13 = -2*q. What is the derivative of 3 + 3*y**4 + 3*y**4 - 2 - q wrt y?\n' | b'24*y**3\n' | b'Suppose 2*c - 23 = -4*q + c, -c - 13 = -2*q. What is the derivative of 3 + 3*y**4 + 3*y**4 - 2 - q wrt y?\n' | b'24*y**3\n' | deepmind/math_dataset |
b'What is prob of sequence ls when two letters picked without replacement from {r: 3, s: 1, o: 1, x: 3, l: 2}?\n' | b'1/45\n' | b'What is prob of sequence ls when two letters picked without replacement from {r: 3, s: 1, o: 1, x: 3, l: 2}?\n' | b'1/45\n' | deepmind/math_dataset |
b'Simplify ((l**(-3/10)*l/l**(3/7))/(l**8/l**(-5/2)))/((l**(-9)*(l*(l/(l/(l**(-2)/l)))/l)/l)/(l**(1/4))**(-23/2)) assuming l is positive.\n' | b'l**(-29/280)\n' | b'Simplify ((l**(-3/10)*l/l**(3/7))/(l**8/l**(-5/2)))/((l**(-9)*(l*(l/(l/(l**(-2)/l)))/l)/l)/(l**(1/4))**(-23/2)) assuming l is positive.\n' | b'l**(-29/280)\n' | deepmind/math_dataset |
b'Suppose -2*k + 4 = -0*k. Let t be -3 - 12*k/(-3). Suppose 0 = 5*j - 25, 0 = -4*r + 4*j - 7 - 5. Solve r*i - 5*x = t*i + 13, -x = -5*i + 25 for i.\n' | b'4\n' | b'Suppose -2*k + 4 = -0*k. Let t be -3 - 12*k/(-3). Suppose 0 = 5*j - 25, 0 = -4*r + 4*j - 7 - 5. Solve r*i - 5*x = t*i + 13, -x = -5*i + 25 for i.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence zp when two letters picked without replacement from {z: 3, p: 3, s: 3, h: 4}.\n' | b'3/52\n' | b'Calculate prob of sequence zp when two letters picked without replacement from {z: 3, p: 3, s: 3, h: 4}.\n' | b'3/52\n' | deepmind/math_dataset |
b'Simplify (q**(-2/7)*q)**31*q**(-6/5)/q**(-1/9) assuming q is positive.\n' | b'q**(6632/315)\n' | b'Simplify (q**(-2/7)*q)**31*q**(-6/5)/q**(-1/9) assuming q is positive.\n' | b'q**(6632/315)\n' | deepmind/math_dataset |
b'Simplify (t/t**0)**(-23)*t*t/(t**(-3)*t)*t/(t/((t*t*t**(2/11))/t))*(t**(-1/4)/t)**(-41)*(t**(-1/3))**25 assuming t is positive.\n' | b't**(3313/132)\n' | b'Simplify (t/t**0)**(-23)*t*t/(t**(-3)*t)*t/(t/((t*t*t**(2/11))/t))*(t**(-1/4)/t)**(-41)*(t**(-1/3))**25 assuming t is positive.\n' | b't**(3313/132)\n' | deepmind/math_dataset |
b'What is prob of sequence ldzv when four letters picked without replacement from {d: 3, l: 4, v: 9, z: 2}?\n' | b'1/340\n' | b'What is prob of sequence ldzv when four letters picked without replacement from {d: 3, l: 4, v: 9, z: 2}?\n' | b'1/340\n' | deepmind/math_dataset |
b'Simplify o**(-1/3)/o*o*o**4*o*((o**(3/5)/o)/o)**(-17) assuming o is positive.\n' | b'o**(427/15)\n' | b'Simplify o**(-1/3)/o*o*o**4*o*((o**(3/5)/o)/o)**(-17) assuming o is positive.\n' | b'o**(427/15)\n' | deepmind/math_dataset |
b'Let i = 41 + -29. Let m(o) = o**3 - 4*o**2 - 5*o + 4. Let j be m(5). Suppose i = -j*t + 4*w, -t + 3*w = t + 11. Solve 5*c - c = -5*v - 3, -4 = t*c for v.\n' | b'1\n' | b'Let i = 41 + -29. Let m(o) = o**3 - 4*o**2 - 5*o + 4. Let j be m(5). Suppose i = -j*t + 4*w, -t + 3*w = t + 11. Solve 5*c - c = -5*v - 3, -4 = t*c for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let g(k) = k**3 - 4*k**2 + k. Let l = 0 - -4. Let b be g(l). Solve 0 = -b*a + m + 8, 0*m = -3*a + 4*m - 7 for a.\n' | b'3\n' | b'Let g(k) = k**3 - 4*k**2 + k. Let l = 0 - -4. Let b be g(l). Solve 0 = -b*a + m + 8, 0*m = -3*a + 4*m - 7 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Let i = 18 + -13. Suppose -5 = -2*u + 1. Let n(b) = 2*b**2 + 6*b - 2. Let z be n(-5). Solve -u*o - z = -i*t, 5*t - o = -0*o + 16 for t.\n' | b'3\n' | b'Let i = 18 + -13. Suppose -5 = -2*u + 1. Let n(b) = 2*b**2 + 6*b - 2. Let z be n(-5). Solve -u*o - z = -i*t, 5*t - o = -0*o + 16 for t.\n' | b'3\n' | deepmind/math_dataset |
b'Let q(o) = 0*o + 3*o - 2*o. Let n be q(-7). Let g(w) be the first derivative of w**2 + 8*w - 2. What is g(n)?\n' | b'-6\n' | b'Let q(o) = 0*o + 3*o - 2*o. Let n be q(-7). Let g(w) be the first derivative of w**2 + 8*w - 2. What is g(n)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify ((((o**(-3/2)*o)/o)/o)/((o*o*(o*o*o/(o*o**(-2/13)))/o)/o*o*o)*(o/o**7)/(o**(-2/7)*o))**(-1/6) assuming o is positive.\n' | b'o**(811/364)\n' | b'Simplify ((((o**(-3/2)*o)/o)/o)/((o*o*(o*o*o/(o*o**(-2/13)))/o)/o*o*o)*(o/o**7)/(o**(-2/7)*o))**(-1/6) assuming o is positive.\n' | b'o**(811/364)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 2, i: 1, x: 1, q: 2, e: 1}. Give prob of sequence ejq.\n' | b'2/105\n' | b'Three letters picked without replacement from {j: 2, i: 1, x: 1, q: 2, e: 1}. Give prob of sequence ejq.\n' | b'2/105\n' | deepmind/math_dataset |
b'Simplify (n*n**(-9)/n*n**(-4/3))/(((n**(-7)/n)/n)/n**(-11)) assuming n is positive.\n' | b'n**(-37/3)\n' | b'Simplify (n*n**(-9)/n*n**(-4/3))/(((n**(-7)/n)/n)/n**(-11)) assuming n is positive.\n' | b'n**(-37/3)\n' | deepmind/math_dataset |
b'What is prob of sequence ccc when three letters picked without replacement from {c: 3, s: 1}?\n' | b'1/4\n' | b'What is prob of sequence ccc when three letters picked without replacement from {c: 3, s: 1}?\n' | b'1/4\n' | deepmind/math_dataset |
b'What is the second derivative of -4068 + 6459 - a**4 - 52*a**4 + a + 69*a**2 wrt a?\n' | b'-636*a**2 + 138\n' | b'What is the second derivative of -4068 + 6459 - a**4 - 52*a**4 + a + 69*a**2 wrt a?\n' | b'-636*a**2 + 138\n' | deepmind/math_dataset |
b'Let d(v) = -2*v - 1. Let a(z) = 3*z**3 - z**2 - 16*z - 1. Let h(p) = -a(p) + 5*d(p). Determine h(2).\n' | b'-12\n' | b'Let d(v) = -2*v - 1. Let a(z) = 3*z**3 - z**2 - 16*z - 1. Let h(p) = -a(p) + 5*d(p). Determine h(2).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (((u/u**(5/2)*u)/((u/(u/(u/(u/(u*u**9*u)))))/u))**(-9/13))**(-1/26) assuming u is positive.\n' | b'u**(-189/676)\n' | b'Simplify (((u/u**(5/2)*u)/((u/(u/(u/(u/(u*u**9*u)))))/u))**(-9/13))**(-1/26) assuming u is positive.\n' | b'u**(-189/676)\n' | deepmind/math_dataset |
b'Let v(s) = -8*s - 582. Let g be v(-73). Solve -2*b + 2*o - 8 = 0, -3*b + g*b = -3*o + 14 for b.\n' | b'1\n' | b'Let v(s) = -8*s - 582. Let g be v(-73). Solve -2*b + 2*o - 8 = 0, -3*b + g*b = -3*o + 14 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, t: 2, x: 4}. What is prob of picking 1 t and 1 d?\n' | b'2/21\n' | b'Two letters picked without replacement from {d: 1, t: 2, x: 4}. What is prob of picking 1 t and 1 d?\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify (((h**0/h)**(18/5))**(-1/4))**(-9/7) assuming h is positive.\n' | b'h**(-81/70)\n' | b'Simplify (((h**0/h)**(18/5))**(-1/4))**(-9/7) assuming h is positive.\n' | b'h**(-81/70)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ik when two letters picked without replacement from viilikk.\n' | b'1/7\n' | b'Calculate prob of sequence ik when two letters picked without replacement from viilikk.\n' | b'1/7\n' | deepmind/math_dataset |
b'Suppose k = -t + 6, -2*k = -2*t - k + 3. Let q(u) be the first derivative of -2/3*u**t - 4 + u + 0*u**2. Differentiate q(r) wrt r.\n' | b'-4*r\n' | b'Suppose k = -t + 6, -2*k = -2*t - k + 3. Let q(u) be the first derivative of -2/3*u**t - 4 + u + 0*u**2. Differentiate q(r) wrt r.\n' | b'-4*r\n' | deepmind/math_dataset |
b'Simplify ((v**0*v/v**(-2/19))/((v/(v/(v**(3/7)/v)))/(v/(v/(v*v/(v*v**(-4))))*v)))/((v**0)**(-1/11))**(2/61) assuming v is positive.\n' | b'v**(1021/133)\n' | b'Simplify ((v**0*v/v**(-2/19))/((v/(v/(v**(3/7)/v)))/(v/(v/(v*v/(v*v**(-4))))*v)))/((v**0)**(-1/11))**(2/61) assuming v is positive.\n' | b'v**(1021/133)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wgwgw. Give prob of sequence wwgg.\n' | b'1/10\n' | b'Four letters picked without replacement from wgwgw. Give prob of sequence wwgg.\n' | b'1/10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gwvuhvugguvuvv. What is prob of sequence hwuv?\n' | b'5/6006\n' | b'Four letters picked without replacement from gwvuhvugguvuvv. What is prob of sequence hwuv?\n' | b'5/6006\n' | deepmind/math_dataset |
b'Suppose 0 = 2*t + 3*t - 10. Let r(m) be the second derivative of -1/2*m**t + 0*m**3 + 0 + 1/6*m**4 - m. Differentiate r(p) with respect to p.\n' | b'4*p\n' | b'Suppose 0 = 2*t + 3*t - 10. Let r(m) be the second derivative of -1/2*m**t + 0*m**3 + 0 + 1/6*m**4 - m. Differentiate r(p) with respect to p.\n' | b'4*p\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 d, and 1 b when three letters picked without replacement from {z: 1, d: 11, b: 3, a: 4}.\n' | b'11/323\n' | b'Calculate prob of picking 1 z, 1 d, and 1 b when three letters picked without replacement from {z: 1, d: 11, b: 3, a: 4}.\n' | b'11/323\n' | deepmind/math_dataset |
b'Let s(f) be the second derivative of 0*f**2 + 3/4*f**4 + 0*f**3 + 0*f**5 + 0 + 3/14*f**7 + 0*f**6 - 2*f. What is the third derivative of s(c) wrt c?\n' | b'540*c**2\n' | b'Let s(f) be the second derivative of 0*f**2 + 3/4*f**4 + 0*f**3 + 0*f**5 + 0 + 3/14*f**7 + 0*f**6 - 2*f. What is the third derivative of s(c) wrt c?\n' | b'540*c**2\n' | deepmind/math_dataset |
b'Let z be (0 - 0)/(-4) - (-48 + 45). Solve 0 = -3*c - 4*y - 3, 0 = -z*y - 43 + 34 for c.\n' | b'3\n' | b'Let z be (0 - 0)/(-4) - (-48 + 45). Solve 0 = -3*c - 4*y - 3, 0 = -z*y - 43 + 34 for c.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 3 x when three letters picked without replacement from {x: 5, p: 11}?\n' | b'1/56\n' | b'What is prob of picking 3 x when three letters picked without replacement from {x: 5, p: 11}?\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify (r/(r**(-7)/r))**(1/11)*r**(1/15)*r*r**(2/25)*r assuming r is positive.\n' | b'r**(2446/825)\n' | b'Simplify (r/(r**(-7)/r))**(1/11)*r**(1/15)*r*r**(2/25)*r assuming r is positive.\n' | b'r**(2446/825)\n' | deepmind/math_dataset |
b'What is prob of picking 2 j and 2 x when four letters picked without replacement from {e: 3, j: 4, x: 3, v: 4, d: 2}?\n' | b'9/910\n' | b'What is prob of picking 2 j and 2 x when four letters picked without replacement from {e: 3, j: 4, x: 3, v: 4, d: 2}?\n' | b'9/910\n' | deepmind/math_dataset |
b'Let m be 6/2 + 4/4. Suppose 0 = -m*l - 5 + 17. What is the first derivative of l + 3 - 4 + 2*z**4 wrt z?\n' | b'8*z**3\n' | b'Let m be 6/2 + 4/4. Suppose 0 = -m*l - 5 + 17. What is the first derivative of l + 3 - 4 + 2*z**4 wrt z?\n' | b'8*z**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 2, m: 1, o: 6, a: 2}.\n' | b'2/55\n' | b'Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 2, m: 1, o: 6, a: 2}.\n' | b'2/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 8, m: 3}. Give prob of picking 2 w and 1 m.\n' | b'28/55\n' | b'Three letters picked without replacement from {w: 8, m: 3}. Give prob of picking 2 w and 1 m.\n' | b'28/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jfq. What is prob of picking 1 f and 1 q?\n' | b'1/3\n' | b'Two letters picked without replacement from jfq. What is prob of picking 1 f and 1 q?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of sequence lcu when three letters picked without replacement from lcclulcl?\n' | b'1/28\n' | b'What is prob of sequence lcu when three letters picked without replacement from lcclulcl?\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose -8*p - 5*n = -11*p + 39, -4*p = n - 52. Solve 5*o + 11 = -12*k + p*k, 5*o + 31 = -4*k for k.\n' | b'-4\n' | b'Suppose -8*p - 5*n = -11*p + 39, -4*p = n - 52. Solve 5*o + 11 = -12*k + p*k, 5*o + 31 = -4*k for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccg when three letters picked without replacement from {c: 3, n: 2, r: 3, g: 1, o: 10}.\n' | b'1/969\n' | b'Calculate prob of sequence ccg when three letters picked without replacement from {c: 3, n: 2, r: 3, g: 1, o: 10}.\n' | b'1/969\n' | deepmind/math_dataset |
b'Let o be (-25)/15*3 + 1. Let p(q) = 4 + 3*q + 0 - 3*q - 2*q**2 - q**3 + 5*q. Calculate p(o).\n' | b'16\n' | b'Let o be (-25)/15*3 + 1. Let p(q) = 4 + 3*q + 0 - 3*q - 2*q**2 - q**3 + 5*q. Calculate p(o).\n' | b'16\n' | deepmind/math_dataset |
b'Let j(d) be the third derivative of d**7/84 - d**6/360 + d**4/24 + 10*d**3/3 + 124*d**2. Let w(k) be the first derivative of j(k). What is w(-1)?\n' | b'-10\n' | b'Let j(d) be the third derivative of d**7/84 - d**6/360 + d**4/24 + 10*d**3/3 + 124*d**2. Let w(k) be the first derivative of j(k). What is w(-1)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let r(n) = 22*n**2 - 1187*n - 38. Let a be r(54). Solve -2*s + 2*w - a = 0, 7*w - 32 = 3*s + 2*w for s.\n' | b'-4\n' | b'Let r(n) = 22*n**2 - 1187*n - 38. Let a be r(54). Solve -2*s + 2*w - a = 0, 7*w - 32 = 3*s + 2*w for s.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence du when two letters picked without replacement from uduududddu?\n' | b'5/18\n' | b'What is prob of sequence du when two letters picked without replacement from uduududddu?\n' | b'5/18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qhgwgqmgwwhqhhwwhwww. What is prob of picking 2 h and 1 q?\n' | b'1/38\n' | b'Three letters picked without replacement from qhgwgqmgwwhqhhwwhwww. What is prob of picking 2 h and 1 q?\n' | b'1/38\n' | deepmind/math_dataset |
b'Suppose -5*f + 3*f = -4*f. Suppose f = c + 3*c + 28. Let v(z) = -z**2 - 7*z + 8. Determine v(c).\n' | b'8\n' | b'Suppose -5*f + 3*f = -4*f. Suppose f = c + 3*c + 28. Let v(z) = -z**2 - 7*z + 8. Determine v(c).\n' | b'8\n' | deepmind/math_dataset |
b'Let j(k) = -5 + 13*k**2 + 0*k**2 + 2 + k + 2*k**3. Let d(q) = -q**3 - 6*q**2 + 1. Let z(c) = -7*d(c) - 3*j(c). Calculate z(-4).\n' | b'-2\n' | b'Let j(k) = -5 + 13*k**2 + 0*k**2 + 2 + k + 2*k**3. Let d(q) = -q**3 - 6*q**2 + 1. Let z(c) = -7*d(c) - 3*j(c). Calculate z(-4).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(w) be the second derivative of -5*w**3/6 - 27*w**2/2 + 1643*w. Calculate i(-4).\n' | b'-7\n' | b'Let i(w) be the second derivative of -5*w**3/6 - 27*w**2/2 + 1643*w. Calculate i(-4).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 1 z when three letters picked without replacement from vzvvvvzvvvzvvvvvvz.\n' | b'91/204\n' | b'Calculate prob of picking 2 v and 1 z when three letters picked without replacement from vzvvvvzvvvzvvvvvvz.\n' | b'91/204\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkook. What is prob of sequence oo?\n' | b'1/10\n' | b'Two letters picked without replacement from kkook. What is prob of sequence oo?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 1, a: 1, s: 5, h: 1, e: 1}. Give prob of sequence hf.\n' | b'1/72\n' | b'Two letters picked without replacement from {f: 1, a: 1, s: 5, h: 1, e: 1}. Give prob of sequence hf.\n' | b'1/72\n' | deepmind/math_dataset |
b'Let g(f) be the third derivative of 0*f**5 - 303*f**2 + 0*f**4 + 0*f + 0 + 131/60*f**6 - 44*f**3. Differentiate g(q) wrt q.\n' | b'786*q**2\n' | b'Let g(f) be the third derivative of 0*f**5 - 303*f**2 + 0*f**4 + 0*f + 0 + 131/60*f**6 - 44*f**3. Differentiate g(q) wrt q.\n' | b'786*q**2\n' | deepmind/math_dataset |
b'Let o = -1 - -1. What is the derivative of 8*k + o + 0 - 5*k + 2 wrt k?\n' | b'3\n' | b'Let o = -1 - -1. What is the derivative of 8*k + o + 0 - 5*k + 2 wrt k?\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence fvav when four letters picked without replacement from {v: 8, n: 1, h: 4, a: 2, f: 1}?\n' | b'1/390\n' | b'What is prob of sequence fvav when four letters picked without replacement from {v: 8, n: 1, h: 4, a: 2, f: 1}?\n' | b'1/390\n' | deepmind/math_dataset |
b'Let s(c) = -1585*c - 66568. Let y be s(-42). Let a = 1 - -4. Solve -a*n = 5*j, 5*j + y*n + 3 = -3 for j.\n' | b'-2\n' | b'Let s(c) = -1585*c - 66568. Let y be s(-42). Let a = 1 - -4. Solve -a*n = 5*j, 5*j + y*n + 3 = -3 for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (c*c/(c**20*c)*c**35)**7 assuming c is positive.\n' | b'c**112\n' | b'Simplify (c*c/(c**20*c)*c**35)**7 assuming c is positive.\n' | b'c**112\n' | deepmind/math_dataset |
b'Calculate prob of sequence bb when two letters picked without replacement from {b: 6, h: 2, t: 5}.\n' | b'5/26\n' | b'Calculate prob of sequence bb when two letters picked without replacement from {b: 6, h: 2, t: 5}.\n' | b'5/26\n' | deepmind/math_dataset |
b'Let d(w) = -w**3 + 7*w**2 + 4. Let y be d(7). Let h = -283 + 290. Let c(v) = -16*v + 3. Let q(b) = 14*b - 3. Let x(p) = h*q(p) + 6*c(p). Calculate x(y).\n' | b'5\n' | b'Let d(w) = -w**3 + 7*w**2 + 4. Let y be d(7). Let h = -283 + 290. Let c(v) = -16*v + 3. Let q(b) = 14*b - 3. Let x(p) = h*q(p) + 6*c(p). Calculate x(y).\n' | b'5\n' | deepmind/math_dataset |
b'Let q be 3 - (-2)/2 - -1. Solve 4*t - q*w = -t - 30, 0 = 4*t - 3*w + 19 for t.\n' | b'-1\n' | b'Let q be 3 - (-2)/2 - -1. Solve 4*t - q*w = -t - 30, 0 = 4*t - 3*w + 19 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiiiiii. What is prob of sequence ii?\n' | b'1\n' | b'Two letters picked without replacement from iiiiiii. What is prob of sequence ii?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, f: 1, r: 1, i: 2, a: 1, n: 1}. What is prob of picking 1 r and 1 i?\n' | b'2/21\n' | b'Two letters picked without replacement from {t: 1, f: 1, r: 1, i: 2, a: 1, n: 1}. What is prob of picking 1 r and 1 i?\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f and 3 z when four letters picked without replacement from dkdsdrzzfzrz.\n' | b'4/495\n' | b'Calculate prob of picking 1 f and 3 z when four letters picked without replacement from dkdsdrzzfzrz.\n' | b'4/495\n' | deepmind/math_dataset |
b'Simplify (((m*m/(((m/(m*m**(9/8)/m))/m*m)/m*m))/m)/m**(-1/8))/(m**10)**(4/3) assuming m is positive.\n' | b'm**(-145/12)\n' | b'Simplify (((m*m/(((m/(m*m**(9/8)/m))/m*m)/m*m))/m)/m**(-1/8))/(m**10)**(4/3) assuming m is positive.\n' | b'm**(-145/12)\n' | deepmind/math_dataset |
b'Let w = -3166 + 3167. Solve -5*t - 5*m + 15 = 0, 3*t + 4*m - w = 9*m for t.\n' | b'2\n' | b'Let w = -3166 + 3167. Solve -5*t - 5*m + 15 = 0, 3*t + 4*m - w = 9*m for t.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -65 = -7*n - 51. Solve -5*z = 4*p - 9, 2*z + n*p - 3 = 1 for z.\n' | b'1\n' | b'Suppose -65 = -7*n - 51. Solve -5*z = 4*p - 9, 2*z + n*p - 3 = 1 for z.\n' | b'1\n' | deepmind/math_dataset |
b'Let h(u) = 2*u**2 - 17*u + 12. Let i be h(8). Solve -2*s + 10 = -4*q, 0*s - 3*s = -i*q - 9 for q.\n' | b'-3\n' | b'Let h(u) = 2*u**2 - 17*u + 12. Let i be h(8). Solve -2*s + 10 = -4*q, 0*s - 3*s = -i*q - 9 for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence uhf when three letters picked without replacement from {p: 1, n: 1, u: 1, y: 2, f: 1, h: 1}.\n' | b'1/210\n' | b'Calculate prob of sequence uhf when three letters picked without replacement from {p: 1, n: 1, u: 1, y: 2, f: 1, h: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'What is prob of sequence ffh when three letters picked without replacement from ehhhffggff?\n' | b'1/20\n' | b'What is prob of sequence ffh when three letters picked without replacement from ehhhffggff?\n' | b'1/20\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 1 t when three letters picked without replacement from {a: 1, y: 1, f: 1, w: 4, t: 1, v: 4}?\n' | b'3/110\n' | b'What is prob of picking 2 w and 1 t when three letters picked without replacement from {a: 1, y: 1, f: 1, w: 4, t: 1, v: 4}?\n' | b'3/110\n' | deepmind/math_dataset |
b'Suppose 6 = -17*c + 20*c. Differentiate 949*b**2 - 82 - 311*b**2 + c*b**3 - 308*b**2 - 310*b**2 wrt b.\n' | b'6*b**2 + 40*b\n' | b'Suppose 6 = -17*c + 20*c. Differentiate 949*b**2 - 82 - 311*b**2 + c*b**3 - 308*b**2 - 310*b**2 wrt b.\n' | b'6*b**2 + 40*b\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrdrrrorrorrw. Give prob of sequence dor.\n' | b'3/286\n' | b'Three letters picked without replacement from rrdrrrorrorrw. Give prob of sequence dor.\n' | b'3/286\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wtwtttttttt. What is prob of picking 2 t?\n' | b'36/55\n' | b'Two letters picked without replacement from wtwtttttttt. What is prob of picking 2 t?\n' | b'36/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qrqonenonon. What is prob of sequence qqne?\n' | b'1/990\n' | b'Four letters picked without replacement from qrqonenonon. What is prob of sequence qqne?\n' | b'1/990\n' | deepmind/math_dataset |
b'Let d(q) = 2*q + 87. Let f be d(-25). Let a = -12 + f. Let h = -22 + a. Solve -o - 2*o + h*l = 15, -o = l + 3 for o.\n' | b'-4\n' | b'Let d(q) = 2*q + 87. Let f be d(-25). Let a = -12 + f. Let h = -22 + a. Solve -o - 2*o + h*l = 15, -o = l + 3 for o.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z be (-44)/154 - (-16)/7. Let p(x) = 0*x**2 + x**2 + 30*x - z - 32*x - 2. Calculate p(5).\n' | b'11\n' | b'Let z be (-44)/154 - (-16)/7. Let p(x) = 0*x**2 + x**2 + 30*x - z - 32*x - 2. Calculate p(5).\n' | b'11\n' | deepmind/math_dataset |
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