question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let j(i) = -i**2 + 10*i + 5. Let p = -19 + 29. Let y be j(p). Suppose 4*s = f - 12, -2*f + f - s = -7. Solve 2*v + f - 20 = -5*n, y = -5*v + 5*n for v.\n' | b'1\n' | b'Let j(i) = -i**2 + 10*i + 5. Let p = -19 + 29. Let y be j(p). Suppose 4*s = f - 12, -2*f + f - s = -7. Solve 2*v + f - 20 = -5*n, y = -5*v + 5*n for v.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence mkd when three letters picked without replacement from {m: 1, k: 1, d: 1}.\n' | b'1/6\n' | b'Calculate prob of sequence mkd when three letters picked without replacement from {m: 1, k: 1, d: 1}.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of sequence ntnt when four letters picked without replacement from nnnnntnnnnttnn?\n' | b'5/182\n' | b'What is prob of sequence ntnt when four letters picked without replacement from nnnnntnnnnttnn?\n' | b'5/182\n' | deepmind/math_dataset |
b'Simplify ((i/i**(-16))/(i/(i*i**(-2/59))))/((i*i**(-23)*i)/i**(-31)) assuming i is positive.\n' | b'i**(411/59)\n' | b'Simplify ((i/i**(-16))/(i/(i*i**(-2/59))))/((i*i**(-23)*i)/i**(-31)) assuming i is positive.\n' | b'i**(411/59)\n' | deepmind/math_dataset |
b'Suppose 6*l - 136 = 2*l. Solve 4*j + 2*v - l = -12, 0 = 4*v - 12 for j.\n' | b'4\n' | b'Suppose 6*l - 136 = 2*l. Solve 4*j + 2*v - l = -12, 0 = 4*v - 12 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Let m be 20/9 + 2/(-9). Differentiate -1 - m*f + f - 4 + 3 with respect to f.\n' | b'-1\n' | b'Let m be 20/9 + 2/(-9). Differentiate -1 - m*f + f - 4 + 3 with respect to f.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from smsmsms. What is prob of sequence msms?\n' | b'3/35\n' | b'Four letters picked without replacement from smsmsms. What is prob of sequence msms?\n' | b'3/35\n' | deepmind/math_dataset |
b'Suppose -3*s = 3*x + 3, 4*x + 10*s + 8 = 5*s. Solve -4*i = -2*w - 2*w + 12, 9 = -x*i + 5*w for i.\n' | b'-3\n' | b'Suppose -3*s = 3*x + 3, 4*x + 10*s + 8 = 5*s. Solve -4*i = -2*w - 2*w + 12, 9 = -x*i + 5*w for i.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 n, 1 w, and 1 s when three letters picked without replacement from wwwbwwsbnssw?\n' | b'9/110\n' | b'What is prob of picking 1 n, 1 w, and 1 s when three letters picked without replacement from wwwbwwsbnssw?\n' | b'9/110\n' | deepmind/math_dataset |
b'Let a(s) = s**2 + 9*s + 6. Let r(i) = -i**2 + 2*i + 3. Let m be r(5). Let x be 97 + -88 + -8 + 1. Let o be m/(-4) + -9 + x. Calculate a(o).\n' | b'-14\n' | b'Let a(s) = s**2 + 9*s + 6. Let r(i) = -i**2 + 2*i + 3. Let m be r(5). Let x be 97 + -88 + -8 + 1. Let o be m/(-4) + -9 + x. Calculate a(o).\n' | b'-14\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, w: 3, h: 1}.\n' | b'1/35\n' | b'Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, w: 3, h: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, q: 1, m: 2, t: 2, o: 1, s: 2}. What is prob of picking 1 e and 1 q?\n' | b'1/36\n' | b'Two letters picked without replacement from {e: 1, q: 1, m: 2, t: 2, o: 1, s: 2}. What is prob of picking 1 e and 1 q?\n' | b'1/36\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 1, i: 3, g: 2, z: 4}. Give prob of picking 2 g and 1 b.\n' | b'1/120\n' | b'Three letters picked without replacement from {b: 1, i: 3, g: 2, z: 4}. Give prob of picking 2 g and 1 b.\n' | b'1/120\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 d when two letters picked without replacement from dmxamxja?\n' | b'1/28\n' | b'What is prob of picking 1 j and 1 d when two letters picked without replacement from dmxamxja?\n' | b'1/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ppwuzwuppszi. Give prob of sequence isw.\n' | b'1/660\n' | b'Three letters picked without replacement from ppwuzwuppszi. Give prob of sequence isw.\n' | b'1/660\n' | deepmind/math_dataset |
b'Calculate prob of sequence vp when two letters picked without replacement from {w: 5, e: 1, p: 6, u: 3, v: 2, h: 3}.\n' | b'3/95\n' | b'Calculate prob of sequence vp when two letters picked without replacement from {w: 5, e: 1, p: 6, u: 3, v: 2, h: 3}.\n' | b'3/95\n' | deepmind/math_dataset |
b'Simplify ((g**4/g)/(g/(g/(g/g**(2/9))*g)))/((g*g**(-27)/g)/((g*g**(-30)*g)/g)) assuming g is positive.\n' | b'g**(11/9)\n' | b'Simplify ((g**4/g)/(g/(g/(g/g**(2/9))*g)))/((g*g**(-27)/g)/((g*g**(-30)*g)/g)) assuming g is positive.\n' | b'g**(11/9)\n' | deepmind/math_dataset |
b'What is the second derivative of -10*f**5 + 101*f**5 + 25*f + 1 - 29*f wrt f?\n' | b'1820*f**3\n' | b'What is the second derivative of -10*f**5 + 101*f**5 + 25*f + 1 - 29*f wrt f?\n' | b'1820*f**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uckuccccuuvccukcckcc. Give prob of picking 1 c and 1 k.\n' | b'33/190\n' | b'Two letters picked without replacement from uckuccccuuvccukcckcc. Give prob of picking 1 c and 1 k.\n' | b'33/190\n' | deepmind/math_dataset |
b'Let g be (3 - 1)*5/2. Let b = -3 + g. Find the second derivative of -b*c**5 + 2*c + 3*c + 0*c**5 - 4*c wrt c.\n' | b'-40*c**3\n' | b'Let g be (3 - 1)*5/2. Let b = -3 + g. Find the second derivative of -b*c**5 + 2*c + 3*c + 0*c**5 - 4*c wrt c.\n' | b'-40*c**3\n' | deepmind/math_dataset |
b'Let v(k) = -k + 1. Let m be v(-1). Suppose h + 3 = m*h. Suppose 0 = -3*j + h*u + 72, -4*u + 5*u - 4 = 0. Solve -2*w + 20 = -4*p, 5*w - j = w + 4*p for w.\n' | b'4\n' | b'Let v(k) = -k + 1. Let m be v(-1). Suppose h + 3 = m*h. Suppose 0 = -3*j + h*u + 72, -4*u + 5*u - 4 = 0. Solve -2*w + 20 = -4*p, 5*w - j = w + 4*p for w.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((p/p**2)/p*p**(2/5))**(3/10)*((p*p**(1/2)*p*p)**(-30))**(10/17) assuming p is positive.\n' | b'p**(-26454/425)\n' | b'Simplify ((p/p**2)/p*p**(2/5))**(3/10)*((p*p**(1/2)*p*p)**(-30))**(10/17) assuming p is positive.\n' | b'p**(-26454/425)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qsqguxxgqqpqu. Give prob of picking 4 x.\n' | b'0\n' | b'Four letters picked without replacement from qsqguxxgqqpqu. Give prob of picking 4 x.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((z**(1/3)*z)**(2/15)/(z/z**(1/3)*z/z**(-2/3)))/((z/(z*z**(-4)/z)*z)/z*z**(-3))**(-15) assuming z is positive.\n' | b'z**(1253/45)\n' | b'Simplify ((z**(1/3)*z)**(2/15)/(z/z**(1/3)*z/z**(-2/3)))/((z/(z*z**(-4)/z)*z)/z*z**(-3))**(-15) assuming z is positive.\n' | b'z**(1253/45)\n' | deepmind/math_dataset |
b'Simplify (o*o*o**(1/3))/(o**(-10/7)*o) assuming o is positive.\n' | b'o**(58/21)\n' | b'Simplify (o*o*o**(1/3))/(o**(-10/7)*o) assuming o is positive.\n' | b'o**(58/21)\n' | deepmind/math_dataset |
b'Let z(t) = -168*t**4 + t**2 + 5*t - 6653. Let v(y) = 671*y**4 - 5*y**2 - 19*y + 26614. Let f(j) = -5*v(j) - 19*z(j). Differentiate f(a) with respect to a.\n' | b'-652*a**3 + 12*a\n' | b'Let z(t) = -168*t**4 + t**2 + 5*t - 6653. Let v(y) = 671*y**4 - 5*y**2 - 19*y + 26614. Let f(j) = -5*v(j) - 19*z(j). Differentiate f(a) with respect to a.\n' | b'-652*a**3 + 12*a\n' | deepmind/math_dataset |
b'Let z(b) = 1074*b**3 + 1040*b**2 - 40*b. Let r(d) = d**3 + d**2 + 8*d. Let a(q) = -5*r(q) - z(q). What is the third derivative of a(g) wrt g?\n' | b'-6474\n' | b'Let z(b) = 1074*b**3 + 1040*b**2 - 40*b. Let r(d) = d**3 + d**2 + 8*d. Let a(q) = -5*r(q) - z(q). What is the third derivative of a(g) wrt g?\n' | b'-6474\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h and 1 z when three letters picked without replacement from zhzzhz.\n' | b'1/5\n' | b'Calculate prob of picking 2 h and 1 z when three letters picked without replacement from zhzzhz.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (s**(-16)*s*s/(s*s*s**(-20)))/(s**(-4/21)*s**(2/39)) assuming s is positive.\n' | b's**(1130/273)\n' | b'Simplify (s**(-16)*s*s/(s*s*s**(-20)))/(s**(-4/21)*s**(2/39)) assuming s is positive.\n' | b's**(1130/273)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddcmmddcmlmddmmllhm. Give prob of sequence dd.\n' | b'5/57\n' | b'Two letters picked without replacement from ddcmmddcmlmddmmllhm. Give prob of sequence dd.\n' | b'5/57\n' | deepmind/math_dataset |
b'Suppose 5*u - c = -95, 14*c - 10*c = 5*u + 110. Let r(m) = -m**3 - 19*m**2 - 16*m + 35. Determine r(u).\n' | b'-1\n' | b'Suppose 5*u - c = -95, 14*c - 10*c = 5*u + 110. Let r(m) = -m**3 - 19*m**2 - 16*m + 35. Determine r(u).\n' | b'-1\n' | deepmind/math_dataset |
b'Let l(y) be the first derivative of 79*y**4/4 - y**3/3 - 4*y + 18. What is the third derivative of l(d) wrt d?\n' | b'474\n' | b'Let l(y) be the first derivative of 79*y**4/4 - y**3/3 - 4*y + 18. What is the third derivative of l(d) wrt d?\n' | b'474\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 3, m: 4, y: 1}. Give prob of sequence um.\n' | b'3/14\n' | b'Two letters picked without replacement from {u: 3, m: 4, y: 1}. Give prob of sequence um.\n' | b'3/14\n' | deepmind/math_dataset |
b'Suppose 31 = 2*h - 3*g + 4, -h + 1 = g. Suppose 10*p - 8*p - h = 0. Solve -p*n = -8*n - 5*t - 5, 3*n - 21 = 5*t for n.\n' | b'2\n' | b'Suppose 31 = 2*h - 3*g + 4, -h + 1 = g. Suppose 10*p - 8*p - h = 0. Solve -p*n = -8*n - 5*t - 5, 3*n - 21 = 5*t for n.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (v**0)**(1/2)*(v/(v**(-5/3)/v))/(v**10/v) assuming v is positive.\n' | b'v**(-16/3)\n' | b'Simplify (v**0)**(1/2)*(v/(v**(-5/3)/v))/(v**10/v) assuming v is positive.\n' | b'v**(-16/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaaaaaaaoaaaa. Give prob of sequence oaa.\n' | b'1/13\n' | b'Three letters picked without replacement from aaaaaaaaoaaaa. Give prob of sequence oaa.\n' | b'1/13\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 2, u: 3}?\n' | b'3/5\n' | b'What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 2, u: 3}?\n' | b'3/5\n' | deepmind/math_dataset |
b'Calculate prob of sequence zsfz when four letters picked without replacement from {s: 1, y: 1, b: 1, f: 2, z: 2}.\n' | b'1/210\n' | b'Calculate prob of sequence zsfz when four letters picked without replacement from {s: 1, y: 1, b: 1, f: 2, z: 2}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 2, h: 6}. Give prob of picking 2 h and 1 f.\n' | b'15/28\n' | b'Three letters picked without replacement from {f: 2, h: 6}. Give prob of picking 2 h and 1 f.\n' | b'15/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiipppiipp. Give prob of picking 1 p and 1 i.\n' | b'5/9\n' | b'Two letters picked without replacement from iiipppiipp. Give prob of picking 1 p and 1 i.\n' | b'5/9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 3, u: 3, q: 2, d: 2, a: 5}. What is prob of sequence oao?\n' | b'1/91\n' | b'Three letters picked without replacement from {o: 3, u: 3, q: 2, d: 2, a: 5}. What is prob of sequence oao?\n' | b'1/91\n' | deepmind/math_dataset |
b'What is prob of sequence dp when two letters picked without replacement from {d: 5, p: 2, o: 3}?\n' | b'1/9\n' | b'What is prob of sequence dp when two letters picked without replacement from {d: 5, p: 2, o: 3}?\n' | b'1/9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 17, f: 3}. Give prob of sequence fw.\n' | b'51/380\n' | b'Two letters picked without replacement from {w: 17, f: 3}. Give prob of sequence fw.\n' | b'51/380\n' | deepmind/math_dataset |
b'Let f(r) be the second derivative of -6669*r**5/20 - 140*r**4/3 + 2*r**2 - 3189*r. What is the third derivative of f(q) wrt q?\n' | b'-40014\n' | b'Let f(r) be the second derivative of -6669*r**5/20 - 140*r**4/3 + 2*r**2 - 3189*r. What is the third derivative of f(q) wrt q?\n' | b'-40014\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ariirvrr. What is prob of sequence rvrr?\n' | b'1/70\n' | b'Four letters picked without replacement from ariirvrr. What is prob of sequence rvrr?\n' | b'1/70\n' | deepmind/math_dataset |
b'Calculate prob of sequence labb when four letters picked without replacement from dodldlbdalabbb.\n' | b'3/1001\n' | b'Calculate prob of sequence labb when four letters picked without replacement from dodldlbdalabbb.\n' | b'3/1001\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from pffxfpxpp.\n' | b'1/6\n' | b'Calculate prob of sequence pp when two letters picked without replacement from pffxfpxpp.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let n be (92 - 92)*((-2)/4 + 1). Let w(h) = h**2 + h + 1. Let i(t) = -1 + 3*t - 2 - t**3 + t**2 + 9. Let q(o) = i(o) - 2*w(o). Calculate q(n).\n' | b'4\n' | b'Let n be (92 - 92)*((-2)/4 + 1). Let w(h) = h**2 + h + 1. Let i(t) = -1 + 3*t - 2 - t**3 + t**2 + 9. Let q(o) = i(o) - 2*w(o). Calculate q(n).\n' | b'4\n' | deepmind/math_dataset |
b'Let c = -1820 - -1781. Let i be (-6)/2*(-82)/(-6). Let w = c - i. Solve 3*s = k + 11, s = 4 - w for k.\n' | b'-5\n' | b'Let c = -1820 - -1781. Let i be (-6)/2*(-82)/(-6). Let w = c - i. Solve 3*s = k + 11, s = 4 - w for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 4*m - 9 - 7 = 0. Let w(j) = -2*j + 2. Give w(m).\n' | b'-6\n' | b'Suppose 4*m - 9 - 7 = 0. Let w(j) = -2*j + 2. Give w(m).\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 2, b: 6, i: 10, z: 2}. What is prob of picking 1 b and 2 z?\n' | b'1/190\n' | b'Three letters picked without replacement from {v: 2, b: 6, i: 10, z: 2}. What is prob of picking 1 b and 2 z?\n' | b'1/190\n' | deepmind/math_dataset |
b'Simplify ((n/(n/(n/((n**13*n*n)/n))))/n*n*n/n**(2/35))/((n*n**(4/13))/n**(-10/13)) assuming n is positive.\n' | b'n**(-6431/455)\n' | b'Simplify ((n/(n/(n/((n**13*n*n)/n))))/n*n*n/n**(2/35))/((n*n**(4/13))/n**(-10/13)) assuming n is positive.\n' | b'n**(-6431/455)\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 j when two letters picked without replacement from ekhhjhshkhk?\n' | b'1/55\n' | b'What is prob of picking 1 s and 1 j when two letters picked without replacement from ekhhjhshkhk?\n' | b'1/55\n' | deepmind/math_dataset |
b'Suppose -3*w + 8*w = 0. Suppose -2 = 3*x - 32. Solve -3*p = b + x - w, 30 = -5*p + 5*b for p.\n' | b'-4\n' | b'Suppose -3*w + 8*w = 0. Suppose -2 = 3*x - 32. Solve -3*p = b + x - w, 30 = -5*p + 5*b for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from xxuxbxbbxxux.\n' | b'7/22\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from xxuxbxbbxxux.\n' | b'7/22\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jdwjldmi. Give prob of picking 1 j and 1 i.\n' | b'1/14\n' | b'Two letters picked without replacement from jdwjldmi. Give prob of picking 1 j and 1 i.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose 4*v = 3*w - 68, -6*w = -3*w - v - 53. Let p be 130/8 - 2/8. Let z = w - p. Solve z = -0*i - i + 5*b - 24, -5*i + 4*b - 15 = 0 for i.\n' | b'1\n' | b'Suppose 4*v = 3*w - 68, -6*w = -3*w - v - 53. Let p be 130/8 - 2/8. Let z = w - p. Solve z = -0*i - i + 5*b - 24, -5*i + 4*b - 15 = 0 for i.\n' | b'1\n' | deepmind/math_dataset |
b'Let h(z) = -6*z**4 + 13*z**3 - 13*z + 12. Let w(v) = -v**4 + 2*v**3 - 2*v + 2. Let m(s) = 6*h(s) - 39*w(s). Differentiate m(j) with respect to j.\n' | b'12*j**3\n' | b'Let h(z) = -6*z**4 + 13*z**3 - 13*z + 12. Let w(v) = -v**4 + 2*v**3 - 2*v + 2. Let m(s) = 6*h(s) - 39*w(s). Differentiate m(j) with respect to j.\n' | b'12*j**3\n' | deepmind/math_dataset |
b'Suppose 131*g = 126*g + 3395. Let p = g - 677. Solve -20 = 4*d - f, 2 = -2*d + p*f - 8 for d.\n' | b'-5\n' | b'Suppose 131*g = 126*g + 3395. Let p = g - 677. Solve -20 = 4*d - f, 2 = -2*d + p*f - 8 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r(c) = -8*c**3 - 2*c**2 - 2*c - 1. Let x be r(-1). Suppose 3*w = -1 + x. Differentiate 2 - w*q**3 + 0 + 0*q**3 with respect to q.\n' | b'-6*q**2\n' | b'Let r(c) = -8*c**3 - 2*c**2 - 2*c - 1. Let x be r(-1). Suppose 3*w = -1 + x. Differentiate 2 - w*q**3 + 0 + 0*q**3 with respect to q.\n' | b'-6*q**2\n' | deepmind/math_dataset |
b'What is the derivative of -118*g - 6 + 118*g - 39*g**4 wrt g?\n' | b'-156*g**3\n' | b'What is the derivative of -118*g - 6 + 118*g - 39*g**4 wrt g?\n' | b'-156*g**3\n' | deepmind/math_dataset |
b'Simplify ((k**(1/3))**8*(k**(1/4)/k)**(-6))/((k**0)**(2/17)/(k*k/(k*k**(-2)))**28) assuming k is positive.\n' | b'k**(547/6)\n' | b'Simplify ((k**(1/3))**8*(k**(1/4)/k)**(-6))/((k**0)**(2/17)/(k*k/(k*k**(-2)))**28) assuming k is positive.\n' | b'k**(547/6)\n' | deepmind/math_dataset |
b'Calculate prob of sequence waz when three letters picked without replacement from {g: 3, w: 3, a: 1, e: 2, z: 1}.\n' | b'1/240\n' | b'Calculate prob of sequence waz when three letters picked without replacement from {g: 3, w: 3, a: 1, e: 2, z: 1}.\n' | b'1/240\n' | deepmind/math_dataset |
b'Simplify (d*d**13*d)**(2/5)/(d*d**(4/5)*d**(-2/17)) assuming d is positive.\n' | b'd**(367/85)\n' | b'Simplify (d*d**13*d)**(2/5)/(d*d**(4/5)*d**(-2/17)) assuming d is positive.\n' | b'd**(367/85)\n' | deepmind/math_dataset |
b'Let l(s) be the third derivative of s**4/24 - 5*s**3/3 + 2*s**2 - 973*s - 2. Let o be 405/36 + 2/(-8). Give l(o).\n' | b'1\n' | b'Let l(s) be the third derivative of s**4/24 - 5*s**3/3 + 2*s**2 - 973*s - 2. Let o be 405/36 + 2/(-8). Give l(o).\n' | b'1\n' | deepmind/math_dataset |
b'Let y(w) = 2*w**2 + 23*w + 59. Let l be y(-8). Solve -l*c - 4*a = 3, 0*a = -4*a for c.\n' | b'-1\n' | b'Let y(w) = 2*w**2 + 23*w + 59. Let l be y(-8). Solve -l*c - 4*a = 3, 0*a = -4*a for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Let t(f) = 2*f**3 - 4*f**2 + 7*f - 16. Let l = -28 + 31. Let c be t(l). Suppose -24*p = -c*p - 2. Solve -5*w - 2 + 8 = -4*k, -2*w - p*k = -6 for w.\n' | b'2\n' | b'Let t(f) = 2*f**3 - 4*f**2 + 7*f - 16. Let l = -28 + 31. Let c be t(l). Suppose -24*p = -c*p - 2. Solve -5*w - 2 + 8 = -4*k, -2*w - p*k = -6 for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(j) be the third derivative of j**6/120 + j**5/10 - 7*j**4/24 - 2*j**3/3 + 2*j**2 - 20*j. Suppose -49*f + 46*f = 21. Calculate i(f).\n' | b'-4\n' | b'Let i(j) be the third derivative of j**6/120 + j**5/10 - 7*j**4/24 - 2*j**3/3 + 2*j**2 - 20*j. Suppose -49*f + 46*f = 21. Calculate i(f).\n' | b'-4\n' | deepmind/math_dataset |
b'Let b(x) = -35*x**3 + 6*x**2 - 17*x + 9. Let f(v) = -19*v**3 + 3*v**2 - 9*v + 5. Let c(t) = -6*b(t) + 11*f(t). What is c(3)?\n' | b'10\n' | b'Let b(x) = -35*x**3 + 6*x**2 - 17*x + 9. Let f(v) = -19*v**3 + 3*v**2 - 9*v + 5. Let c(t) = -6*b(t) + 11*f(t). What is c(3)?\n' | b'10\n' | deepmind/math_dataset |
b'Let j = -6 - -14. Suppose 2*a - j = -2*a. Find the third derivative of 13*r**4 - 56*r**2 + 23*r**2 + 32*r**a wrt r.\n' | b'312*r\n' | b'Let j = -6 - -14. Suppose 2*a - j = -2*a. Find the third derivative of 13*r**4 - 56*r**2 + 23*r**2 + 32*r**a wrt r.\n' | b'312*r\n' | deepmind/math_dataset |
b'Calculate prob of sequence rpfz when four letters picked without replacement from {f: 1, p: 1, z: 2, r: 1}.\n' | b'1/60\n' | b'Calculate prob of sequence rpfz when four letters picked without replacement from {f: 1, p: 1, z: 2, r: 1}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, c: 1, h: 1, l: 1, n: 1, t: 1}. What is prob of picking 1 n, 1 h, and 1 l?\n' | b'1/35\n' | b'Three letters picked without replacement from {x: 2, c: 1, h: 1, l: 1, n: 1, t: 1}. What is prob of picking 1 n, 1 h, and 1 l?\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 3*q + 9*d - 4*d - 71 = 0, 0 = -2*q + 2*d + 58. What is the derivative of -q + 34*f**2 - 5 + 5 wrt f?\n' | b'68*f\n' | b'Suppose 3*q + 9*d - 4*d - 71 = 0, 0 = -2*q + 2*d + 58. What is the derivative of -q + 34*f**2 - 5 + 5 wrt f?\n' | b'68*f\n' | deepmind/math_dataset |
b'Simplify ((i**(-1))**(-22)/(i*i*i**(1/3))**22)**16 assuming i is positive.\n' | b'i**(-1408/3)\n' | b'Simplify ((i**(-1))**(-22)/(i*i*i**(1/3))**22)**16 assuming i is positive.\n' | b'i**(-1408/3)\n' | deepmind/math_dataset |
b'Simplify (((u**(4/7)*u*u)/u**(-2/13))/(((u**(-1)/u)/u)/(u/(u/(u*u*u**(-4))))))/(u**4/u**(-4/7))**(6/11) assuming u is positive.\n' | b'u**(1233/1001)\n' | b'Simplify (((u**(4/7)*u*u)/u**(-2/13))/(((u**(-1)/u)/u)/(u/(u/(u*u*u**(-4))))))/(u**4/u**(-4/7))**(6/11) assuming u is positive.\n' | b'u**(1233/1001)\n' | deepmind/math_dataset |
b'What is prob of sequence ct when two letters picked without replacement from ccttt?\n' | b'3/10\n' | b'What is prob of sequence ct when two letters picked without replacement from ccttt?\n' | b'3/10\n' | deepmind/math_dataset |
b'Suppose 238 = i + 231. Let j(d) = -d**2 + 3*d + 6. Let a be j(4). Solve -12 = -a*r - 2*m, r - 4*m + i - 3 = 0 for r.\n' | b'4\n' | b'Suppose 238 = i + 231. Let j(d) = -d**2 + 3*d + 6. Let a be j(4). Solve -12 = -a*r - 2*m, r - 4*m + i - 3 = 0 for r.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (d/(d*d**(-2/41)))/d**(-3/11)*(d*d*d**(-22)*d)**18 assuming d is positive.\n' | b'd**(-154097/451)\n' | b'Simplify (d/(d*d**(-2/41)))/d**(-3/11)*(d*d*d**(-22)*d)**18 assuming d is positive.\n' | b'd**(-154097/451)\n' | deepmind/math_dataset |
b'Simplify (g**(-2)*g)**40/(g**(-2/7)/(g**(1/3)/g))*(g*g**(-3/10)*g**(-11)/g*g)**(-42) assuming g is positive.\n' | b'g**(41183/105)\n' | b'Simplify (g**(-2)*g)**40/(g**(-2/7)/(g**(1/3)/g))*(g*g**(-3/10)*g**(-11)/g*g)**(-42) assuming g is positive.\n' | b'g**(41183/105)\n' | deepmind/math_dataset |
b'Suppose -2*b + g = 151, 2*b = -b + 4*g - 214. Let d be b/(-21) - (-2)/7. Differentiate -3*m**4 - 4 + 4 + 0*m**d + 2 with respect to m.\n' | b'-12*m**3\n' | b'Suppose -2*b + g = 151, 2*b = -b + 4*g - 214. Let d be b/(-21) - (-2)/7. Differentiate -3*m**4 - 4 + 4 + 0*m**d + 2 with respect to m.\n' | b'-12*m**3\n' | deepmind/math_dataset |
b'What is prob of sequence rw when two letters picked without replacement from rrrwrwrrrmwmrwrwrrw?\n' | b'11/57\n' | b'What is prob of sequence rw when two letters picked without replacement from rrrwrwrrrmwmrwrwrrw?\n' | b'11/57\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e when two letters picked without replacement from {x: 1, q: 5, e: 11, c: 2}.\n' | b'55/171\n' | b'Calculate prob of picking 2 e when two letters picked without replacement from {x: 1, q: 5, e: 11, c: 2}.\n' | b'55/171\n' | deepmind/math_dataset |
b'Let k(r) be the second derivative of r**5/40 + 5*r**4/24 - 12*r**3 - 17*r. Let c(b) be the second derivative of k(b). Calculate c(5).\n' | b'20\n' | b'Let k(r) be the second derivative of r**5/40 + 5*r**4/24 - 12*r**3 - 17*r. Let c(b) be the second derivative of k(b). Calculate c(5).\n' | b'20\n' | deepmind/math_dataset |
b'Calculate prob of sequence vjv when three letters picked without replacement from ffjvjfjvfjjevfvfff.\n' | b'5/408\n' | b'Calculate prob of sequence vjv when three letters picked without replacement from ffjvjfjvfjjevfvfff.\n' | b'5/408\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 1, c: 8, p: 6, a: 3}. Give prob of sequence op.\n' | b'1/51\n' | b'Two letters picked without replacement from {o: 1, c: 8, p: 6, a: 3}. Give prob of sequence op.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let x(v) = v + 11. Let n = -24 - -15. Let k be x(n). Suppose k*p - 3*w - 15 = -6*w, -3*w + 15 = 5*p. Let l(z) = -z**2 + 5. Give l(p).\n' | b'5\n' | b'Let x(v) = v + 11. Let n = -24 - -15. Let k be x(n). Suppose k*p - 3*w - 15 = -6*w, -3*w + 15 = 5*p. Let l(z) = -z**2 + 5. Give l(p).\n' | b'5\n' | deepmind/math_dataset |
b'Let y be (8/(-3))/((-2)/6). Suppose -5*i - y = 2*x, x = 5*i - 4*x - 20. Find the third derivative of -2*k**3 + i*k**2 + k**2 + 0*k**2 wrt k.\n' | b'-12\n' | b'Let y be (8/(-3))/((-2)/6). Suppose -5*i - y = 2*x, x = 5*i - 4*x - 20. Find the third derivative of -2*k**3 + i*k**2 + k**2 + 0*k**2 wrt k.\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose -5*m + 25 = -3*f, 4*m + 5*f = -9 - 8. Let u be 12/8*(2 - 0). Suppose -6*t + 8 = -2*t, u*b = -3*t + 15. Solve 4*w = -o + 10, w = -m*o + b*w for o.\n' | b'2\n' | b'Suppose -5*m + 25 = -3*f, 4*m + 5*f = -9 - 8. Let u be 12/8*(2 - 0). Suppose -6*t + 8 = -2*t, u*b = -3*t + 15. Solve 4*w = -o + 10, w = -m*o + b*w for o.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 1 i, and 2 j when four letters picked without replacement from iiujijjjji.\n' | b'4/21\n' | b'Calculate prob of picking 1 u, 1 i, and 2 j when four letters picked without replacement from iiujijjjji.\n' | b'4/21\n' | deepmind/math_dataset |
b'Let u be (0 + (-58)/(-2))/1. Suppose -l + 3*l + 3*k = u, k = 3*l - 38. Suppose 3*s = -2*s + 15. Solve 3 = -5*o + s*n, 5*n + l = -o - 10 for o.\n' | b'-3\n' | b'Let u be (0 + (-58)/(-2))/1. Suppose -l + 3*l + 3*k = u, k = 3*l - 38. Suppose 3*s = -2*s + 15. Solve 3 = -5*o + s*n, 5*n + l = -o - 10 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkpkppppkkpkk. What is prob of sequence pppp?\n' | b'3/143\n' | b'Four letters picked without replacement from kkpkppppkkpkk. What is prob of sequence pppp?\n' | b'3/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 m when three letters picked without replacement from mnmmnnnn.\n' | b'1/56\n' | b'Calculate prob of picking 3 m when three letters picked without replacement from mnmmnnnn.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let j(c) = 6*c - 2. Let a(u) = -2 + 7 + 0 - 11*u. Let k(f) = 3*a(f) + 5*j(f). Suppose 5*m + 8 = 7*m. Determine k(m).\n' | b'-7\n' | b'Let j(c) = 6*c - 2. Let a(u) = -2 + 7 + 0 - 11*u. Let k(f) = 3*a(f) + 5*j(f). Suppose 5*m + 8 = 7*m. Determine k(m).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, x: 5, e: 4, y: 2, l: 2, c: 1}. Give prob of sequence cte.\n' | b'2/1365\n' | b'Three letters picked without replacement from {t: 1, x: 5, e: 4, y: 2, l: 2, c: 1}. Give prob of sequence cte.\n' | b'2/1365\n' | deepmind/math_dataset |
b'Let p(h) = h**2 - 10*h + 9. Let z = 3101 + -3090. Give p(z).\n' | b'20\n' | b'Let p(h) = h**2 - 10*h + 9. Let z = 3101 + -3090. Give p(z).\n' | b'20\n' | deepmind/math_dataset |
b'Simplify (w**(-1/7)/(w*w**(2/9)))**(5/9) assuming w is positive.\n' | b'w**(-430/567)\n' | b'Simplify (w**(-1/7)/(w*w**(2/9)))**(5/9) assuming w is positive.\n' | b'w**(-430/567)\n' | deepmind/math_dataset |
b'Simplify (y**(7/2))**(-6/7) assuming y is positive.\n' | b'y**(-3)\n' | b'Simplify (y**(7/2))**(-6/7) assuming y is positive.\n' | b'y**(-3)\n' | deepmind/math_dataset |
b'Simplify (x*x**(3/5)*x*x**(-3/28))**12 assuming x is positive.\n' | b'x**(1047/35)\n' | b'Simplify (x*x**(3/5)*x*x**(-3/28))**12 assuming x is positive.\n' | b'x**(1047/35)\n' | deepmind/math_dataset |
b'Simplify (t**2*t**0)/(t*t**(1/4))**27*t**(-2/11)*t**1*(t*t**(1/7)*t*t)/(t/t**5) assuming t is positive.\n' | b't**(-7327/308)\n' | b'Simplify (t**2*t**0)/(t*t**(1/4))**27*t**(-2/11)*t**1*(t*t**(1/7)*t*t)/(t/t**5) assuming t is positive.\n' | b't**(-7327/308)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aeaeaaaaalxaalasaxl. Give prob of sequence sax.\n' | b'11/2907\n' | b'Three letters picked without replacement from aeaeaaaaalxaalasaxl. Give prob of sequence sax.\n' | b'11/2907\n' | deepmind/math_dataset |
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