question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
value |
|---|---|---|---|---|
b'Calculate prob of picking 2 p and 1 d when three letters picked without replacement from ddfpdfdpx.\n' | b'1/21\n' | b'Calculate prob of picking 2 p and 1 d when three letters picked without replacement from ddfpdfdpx.\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hhsmshshshsshss. What is prob of picking 4 s?\n' | b'2/39\n' | b'Four letters picked without replacement from hhsmshshshsshss. What is prob of picking 4 s?\n' | b'2/39\n' | deepmind/math_dataset |
b'Suppose 275 = -2498*b + 2509*b. Solve 3*s + 4*c - 26 = 0, -3*c = -2*s - b + 14 for s.\n' | b'2\n' | b'Suppose 275 = -2498*b + 2509*b. Solve 3*s + 4*c - 26 = 0, -3*c = -2*s - b + 14 for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let k(l) = 7*l**2 + 7*l + 15. Let r(n) = -3*n**2 - 3*n - 6. Let p(i) = -2*k(i) - 5*r(i). What is p(-4)?\n' | b'12\n' | b'Let k(l) = 7*l**2 + 7*l + 15. Let r(n) = -3*n**2 - 3*n - 6. Let p(i) = -2*k(i) - 5*r(i). What is p(-4)?\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ktttktt. What is prob of sequence tk?\n' | b'5/21\n' | b'Two letters picked without replacement from ktttktt. What is prob of sequence tk?\n' | b'5/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, y: 8, o: 1, a: 4, j: 4, g: 2}. Give prob of sequence sa.\n' | b'1/95\n' | b'Two letters picked without replacement from {s: 1, y: 8, o: 1, a: 4, j: 4, g: 2}. Give prob of sequence sa.\n' | b'1/95\n' | deepmind/math_dataset |
b'Let w(l) be the third derivative of -l**6/120 + l**5/12 - l**4/4 + l**3/6 - 1005*l**2. Calculate w(4).\n' | b'-7\n' | b'Let w(l) be the third derivative of -l**6/120 + l**5/12 - l**4/4 + l**3/6 - 1005*l**2. Calculate w(4).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -6*m + 2*m = -20. Solve -3*d = -4*a + 29, d - 22 = -m*a - 0*d for a.\n' | b'5\n' | b'Suppose -6*m + 2*m = -20. Solve -3*d = -4*a + 29, d - 22 = -m*a - 0*d for a.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (z/(z*z**(15/4))*z**(-2/27))**(1/17) assuming z is positive.\n' | b'z**(-413/1836)\n' | b'Simplify (z/(z*z**(15/4))*z**(-2/27))**(1/17) assuming z is positive.\n' | b'z**(-413/1836)\n' | deepmind/math_dataset |
b'Let r = 29/15 + -8/5. Let b(i) be the second derivative of -i + 0*i**5 + 0*i**4 + 0 - 1/15*i**6 - r*i**3 + 0*i**2. What is the second derivative of b(t) wrt t?\n' | b'-24*t**2\n' | b'Let r = 29/15 + -8/5. Let b(i) be the second derivative of -i + 0*i**5 + 0*i**4 + 0 - 1/15*i**6 - r*i**3 + 0*i**2. What is the second derivative of b(t) wrt t?\n' | b'-24*t**2\n' | deepmind/math_dataset |
b'Simplify (y/y**(-1/12))/((y*((y/y**(-7/4))/y)/y*y*y)/y) assuming y is positive.\n' | b'y**(-5/3)\n' | b'Simplify (y/y**(-1/12))/((y*((y/y**(-7/4))/y)/y*y*y)/y) assuming y is positive.\n' | b'y**(-5/3)\n' | deepmind/math_dataset |
b'Simplify (t/(t**(-1)/t))**(-38)/(t**(-1/7)*((t**6*t)/t)/t)*((t**(1/3)*t)/t**(-4))**(5/9) assuming t is positive.\n' | b't**(-21904/189)\n' | b'Simplify (t/(t**(-1)/t))**(-38)/(t**(-1/7)*((t**6*t)/t)/t)*((t**(1/3)*t)/t**(-4))**(5/9) assuming t is positive.\n' | b't**(-21904/189)\n' | deepmind/math_dataset |
b'Simplify i/(i/(i/(i/(i**9*i))))*i**(-9/4)/i assuming i is positive.\n' | b'i**(27/4)\n' | b'Simplify i/(i/(i/(i/(i**9*i))))*i**(-9/4)/i assuming i is positive.\n' | b'i**(27/4)\n' | deepmind/math_dataset |
b'Let r(n) be the first derivative of -2*n**5/5 - n**3 + 2*n - 4. Let c(b) be the first derivative of r(b). What is the second derivative of c(d) wrt d?\n' | b'-48*d\n' | b'Let r(n) be the first derivative of -2*n**5/5 - n**3 + 2*n - 4. Let c(b) be the first derivative of r(b). What is the second derivative of c(d) wrt d?\n' | b'-48*d\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooojoojooojjjjoj. Give prob of picking 4 j.\n' | b'1/52\n' | b'Four letters picked without replacement from ooojoojooojjjjoj. Give prob of picking 4 j.\n' | b'1/52\n' | deepmind/math_dataset |
b'Simplify y**(-35)*y**(-23) assuming y is positive.\n' | b'y**(-58)\n' | b'Simplify y**(-35)*y**(-23) assuming y is positive.\n' | b'y**(-58)\n' | deepmind/math_dataset |
b'Let x(k) = 6762*k**3 + 112*k + 20. Let n(p) = -20286*p**3 - 337*p - 72. Let j(c) = -2*n(c) - 7*x(c). Find the second derivative of j(b) wrt b.\n' | b'-40572*b\n' | b'Let x(k) = 6762*k**3 + 112*k + 20. Let n(p) = -20286*p**3 - 337*p - 72. Let j(c) = -2*n(c) - 7*x(c). Find the second derivative of j(b) wrt b.\n' | b'-40572*b\n' | deepmind/math_dataset |
b'Let m(r) = r**3 - 4*r**2 + r - 4. Let i = 4 - 7. Suppose -2 = 2*k + 2. Let s be (-1)/(i - k) + 3. Determine m(s).\n' | b'0\n' | b'Let m(r) = r**3 - 4*r**2 + r - 4. Let i = 4 - 7. Suppose -2 = 2*k + 2. Let s be (-1)/(i - k) + 3. Determine m(s).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 5*u - d - 10 = 0, u - 3*d - 4 = -u. Suppose -y - 3*q = 8, -y = y - u*q - 8. Suppose -y - 7 = -4*p. Solve 4 = 5*f + a, -12 = -p*f + 2*a - 5*a for f.\n' | b'0\n' | b'Suppose 5*u - d - 10 = 0, u - 3*d - 4 = -u. Suppose -y - 3*q = 8, -y = y - u*q - 8. Suppose -y - 7 = -4*p. Solve 4 = 5*f + a, -12 = -p*f + 2*a - 5*a for f.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkwakawa. Give prob of picking 1 a and 1 k.\n' | b'9/28\n' | b'Two letters picked without replacement from kkwakawa. Give prob of picking 1 a and 1 k.\n' | b'9/28\n' | deepmind/math_dataset |
b'Simplify ((j/(j/(j**(2/9)/j)))/j**(2/11))**(5/3)*(j**(2/7))**(-4)/((j**(-5)/j*j)/j**(1/4)) assuming j is positive.\n' | b'j**(20855/8316)\n' | b'Simplify ((j/(j/(j**(2/9)/j)))/j**(2/11))**(5/3)*(j**(2/7))**(-4)/((j**(-5)/j*j)/j**(1/4)) assuming j is positive.\n' | b'j**(20855/8316)\n' | deepmind/math_dataset |
b'Simplify ((q**(-2)*q)/(q/((q/q**(-4/9))/q)))/((q/(q/(q/(q*q**(2/5)))))/(q/((q/(q**9*q))/q))) assuming q is positive.\n' | b'q**(443/45)\n' | b'Simplify ((q**(-2)*q)/(q/((q/q**(-4/9))/q)))/((q/(q/(q/(q*q**(2/5)))))/(q/((q/(q**9*q))/q))) assuming q is positive.\n' | b'q**(443/45)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 2, p: 2}. What is prob of picking 2 y and 1 p?\n' | b'1/2\n' | b'Three letters picked without replacement from {y: 2, p: 2}. What is prob of picking 2 y and 1 p?\n' | b'1/2\n' | deepmind/math_dataset |
b'What is the second derivative of -20*i**3 - 44 + 42 + 2*i**2 + 621*i + 2 wrt i?\n' | b'-120*i + 4\n' | b'What is the second derivative of -20*i**3 - 44 + 42 + 2*i**2 + 621*i + 2 wrt i?\n' | b'-120*i + 4\n' | deepmind/math_dataset |
b'Let b(a) be the second derivative of -a**4/6 + 23*a**3/3 + 471*a**2/2 - 27*a + 8. Differentiate b(f) with respect to f.\n' | b'-4*f + 46\n' | b'Let b(a) be the second derivative of -a**4/6 + 23*a**3/3 + 471*a**2/2 - 27*a + 8. Differentiate b(f) with respect to f.\n' | b'-4*f + 46\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 7, p: 2, s: 8, t: 2}. What is prob of sequence st?\n' | b'8/171\n' | b'Two letters picked without replacement from {q: 7, p: 2, s: 8, t: 2}. What is prob of sequence st?\n' | b'8/171\n' | deepmind/math_dataset |
b'Suppose -3*y = 4*t + 18, 4*y = 2*t + t - 24. Let z be 2/3 + (-20)/y. Let c(i) be the second derivative of i**3/6 + 3*i**2/2 + 9*i. Determine c(z).\n' | b'7\n' | b'Suppose -3*y = 4*t + 18, 4*y = 2*t + t - 24. Let z be 2/3 + (-20)/y. Let c(i) be the second derivative of i**3/6 + 3*i**2/2 + 9*i. Determine c(z).\n' | b'7\n' | deepmind/math_dataset |
b'Let b(d) = 11*d**2 - 10*d - 4. Let g be b(-3). What is the derivative of g + 24*a + 106 - 234 wrt a?\n' | b'24\n' | b'Let b(d) = 11*d**2 - 10*d - 4. Let g be b(-3). What is the derivative of g + 24*a + 106 - 234 wrt a?\n' | b'24\n' | deepmind/math_dataset |
b'Let i = 7940 - 7938. Let c(p) be the third derivative of 0*p**3 + 8/15*p**5 + 0 - 34*p**i + 0*p + 5/6*p**4. Find the second derivative of c(q) wrt q.\n' | b'64\n' | b'Let i = 7940 - 7938. Let c(p) be the third derivative of 0*p**3 + 8/15*p**5 + 0 - 34*p**i + 0*p + 5/6*p**4. Find the second derivative of c(q) wrt q.\n' | b'64\n' | deepmind/math_dataset |
b'Suppose 0 = -4*w + 4*n - 4, 2 = -5*w - 2*n - 3. Let u(d) be the second derivative of -1/3*d**3 - 3/2*d**4 + 0 - 11*d - 1/2*d**2. What is u(w)?\n' | b'-17\n' | b'Suppose 0 = -4*w + 4*n - 4, 2 = -5*w - 2*n - 3. Let u(d) be the second derivative of -1/3*d**3 - 3/2*d**4 + 0 - 11*d - 1/2*d**2. What is u(w)?\n' | b'-17\n' | deepmind/math_dataset |
b'Let z = -714 - -719. Let h be 36/(-21)*28/(-8). Suppose 3*u = 6 + 6. Solve 2*a - z*q = 7, -3*a + h - u = q for a.\n' | b'1\n' | b'Let z = -714 - -719. Let h be 36/(-21)*28/(-8). Suppose 3*u = 6 + 6. Solve 2*a - z*q = 7, -3*a + h - u = q for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let n(f) be the third derivative of -f**9/1080 + 2*f**5/15 + 13*f**4/24 + 21*f**2. Let m(p) be the second derivative of n(p). Differentiate m(v) wrt v.\n' | b'-56*v**3\n' | b'Let n(f) be the third derivative of -f**9/1080 + 2*f**5/15 + 13*f**4/24 + 21*f**2. Let m(p) be the second derivative of n(p). Differentiate m(v) wrt v.\n' | b'-56*v**3\n' | deepmind/math_dataset |
b'Suppose 4*x - 5*n = 20, 4*x - 6 = -5*n - 26. Solve 2*r - r - 3*d = 12, 3*r + 4*d + 16 = x for r.\n' | b'0\n' | b'Suppose 4*x - 5*n = 20, 4*x - 6 = -5*n - 26. Solve 2*r - r - 3*d = 12, 3*r + 4*d + 16 = x for r.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(s) be the second derivative of -s**3/6 - s**2/2 - 2*s. Let c(j) = -5*j + 2. Let d(v) = -c(v) + 2*g(v). Differentiate d(u) with respect to u.\n' | b'3\n' | b'Let g(s) be the second derivative of -s**3/6 - s**2/2 - 2*s. Let c(j) = -5*j + 2. Let d(v) = -c(v) + 2*g(v). Differentiate d(u) with respect to u.\n' | b'3\n' | deepmind/math_dataset |
b'Let r = 38 + -35. Let p(w) = 4*w - 4. Determine p(r).\n' | b'8\n' | b'Let r = 38 + -35. Let p(w) = 4*w - 4. Determine p(r).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of picking 2 e when two letters picked without replacement from {z: 3, e: 2, v: 3}?\n' | b'1/28\n' | b'What is prob of picking 2 e when two letters picked without replacement from {z: 3, e: 2, v: 3}?\n' | b'1/28\n' | deepmind/math_dataset |
b'What is the first derivative of -2215*j**2 + 1261 + 881 + 583 - 98 wrt j?\n' | b'-4430*j\n' | b'What is the first derivative of -2215*j**2 + 1261 + 881 + 583 - 98 wrt j?\n' | b'-4430*j\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 6, x: 3, n: 4}. Give prob of picking 1 x and 1 t.\n' | b'3/13\n' | b'Two letters picked without replacement from {t: 6, x: 3, n: 4}. Give prob of picking 1 x and 1 t.\n' | b'3/13\n' | deepmind/math_dataset |
b'Let s be (-1 - -7) + (-96)/24. Solve -s*z = -4*z + 2*c, 2*z - 3*c = 0 for z.\n' | b'0\n' | b'Let s be (-1 - -7) + (-96)/24. Solve -s*z = -4*z + 2*c, 2*z - 3*c = 0 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (h*h**5)/h**33*(h*h*h**(-2/9))**(-45) assuming h is positive.\n' | b'h**(-107)\n' | b'Simplify (h*h**5)/h**33*(h*h*h**(-2/9))**(-45) assuming h is positive.\n' | b'h**(-107)\n' | deepmind/math_dataset |
b'Simplify (k**(1/8)/k**0)**(-24)*(k/(k/(k/(k/(k*k/(k*k**1/k))*k))))**(-1/5)*k**(-1)/(k**3/k) assuming k is positive.\n' | b'k**(-6)\n' | b'Simplify (k**(1/8)/k**0)**(-24)*(k/(k/(k/(k/(k*k/(k*k**1/k))*k))))**(-1/5)*k**(-1)/(k**3/k) assuming k is positive.\n' | b'k**(-6)\n' | deepmind/math_dataset |
b'Let t(u) = 4*u - 5. Let k(w) = -2*w + 1. Let y(m) = -3*k(m) - t(m). Let o be 4/6 - 34/6. What is y(o)?\n' | b'-8\n' | b'Let t(u) = 4*u - 5. Let k(w) = -2*w + 1. Let y(m) = -3*k(m) - t(m). Let o be 4/6 - 34/6. What is y(o)?\n' | b'-8\n' | deepmind/math_dataset |
b'Let n(w) = 3*w**3 + w**2 + 4. Let v(h) = -7*h**3 - 2*h**2 - h - 9. Let u(r) = 5*n(r) + 2*v(r). Suppose -6*b - 15*b + 63 = 0. Give u(b).\n' | b'32\n' | b'Let n(w) = 3*w**3 + w**2 + 4. Let v(h) = -7*h**3 - 2*h**2 - h - 9. Let u(r) = 5*n(r) + 2*v(r). Suppose -6*b - 15*b + 63 = 0. Give u(b).\n' | b'32\n' | deepmind/math_dataset |
b'Simplify (k*k**(-6)*k/(k*k**(-1))*k)/(k*k/(k*k**(-1)))**(1/24)*(k**(-2)/(k**(1/3)/k))/((k**(-4/5)/k)/k*(k/(k/k**1*k*k)*k)/k) assuming k is positive.\n' | b'k**(-37/60)\n' | b'Simplify (k*k**(-6)*k/(k*k**(-1))*k)/(k*k/(k*k**(-1)))**(1/24)*(k**(-2)/(k**(1/3)/k))/((k**(-4/5)/k)/k*(k/(k/k**1*k*k)*k)/k) assuming k is positive.\n' | b'k**(-37/60)\n' | deepmind/math_dataset |
b'Simplify (c**(-3/28)/c)/c**(-6) assuming c is positive.\n' | b'c**(137/28)\n' | b'Simplify (c**(-3/28)/c)/c**(-6) assuming c is positive.\n' | b'c**(137/28)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k when two letters picked without replacement from zkqxddxkvqqkddxkxdd.\n' | b'2/57\n' | b'Calculate prob of picking 2 k when two letters picked without replacement from zkqxddxkvqqkddxkxdd.\n' | b'2/57\n' | deepmind/math_dataset |
b'Let y(k) be the first derivative of -k**4/4 - 13*k + 1. Let o = 972 + -967. Let u(i) = 12. Let n(g) = o*y(g) + 6*u(g). Differentiate n(m) with respect to m.\n' | b'-15*m**2\n' | b'Let y(k) be the first derivative of -k**4/4 - 13*k + 1. Let o = 972 + -967. Let u(i) = 12. Let n(g) = o*y(g) + 6*u(g). Differentiate n(m) with respect to m.\n' | b'-15*m**2\n' | deepmind/math_dataset |
b'Let m(b) = 1 - 7*b - b**2 - b - 2*b. Let l(p) = p**2 + 9*p. Let f(k) = 6*l(k) + 5*m(k). Give f(-4).\n' | b'5\n' | b'Let m(b) = 1 - 7*b - b**2 - b - 2*b. Let l(p) = p**2 + 9*p. Let f(k) = 6*l(k) + 5*m(k). Give f(-4).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -60*r = -84*r + 72. Solve -x - 2*i + i = -1, 1 = r*x + i for x.\n' | b'0\n' | b'Suppose -60*r = -84*r + 72. Solve -x - 2*i + i = -1, 1 = r*x + i for x.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2*b + 4*h = -b - 19, 5*b - 2*h - 23 = 0. Solve -5*f = 3*t + 3, -f + b = 3*t + 2*f for t.\n' | b'4\n' | b'Suppose -2*b + 4*h = -b - 19, 5*b - 2*h - 23 = 0. Solve -5*f = 3*t + 3, -f + b = 3*t + 2*f for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let z(m) be the first derivative of -64 + 29/4*m**4 - 6*m**2 + 0*m + 5/3*m**3. What is the second derivative of z(a) wrt a?\n' | b'174*a + 10\n' | b'Let z(m) be the first derivative of -64 + 29/4*m**4 - 6*m**2 + 0*m + 5/3*m**3. What is the second derivative of z(a) wrt a?\n' | b'174*a + 10\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, v: 7}.\n' | b'1/36\n' | b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, v: 7}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Find the third derivative of 578*h**5 - 96*h**2 + 8 + 6305*h**3 - 6305*h**3 wrt h.\n' | b'34680*h**2\n' | b'Find the third derivative of 578*h**5 - 96*h**2 + 8 + 6305*h**3 - 6305*h**3 wrt h.\n' | b'34680*h**2\n' | deepmind/math_dataset |
b'Let h(w) = 4 - w**2 + 59*w - 79*w + 19*w. Let t be (1 + (-10)/4)*-2. Calculate h(t).\n' | b'-8\n' | b'Let h(w) = 4 - w**2 + 59*w - 79*w + 19*w. Let t be (1 + (-10)/4)*-2. Calculate h(t).\n' | b'-8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qqomqqqqmmmmrq. What is prob of sequence moq?\n' | b'5/312\n' | b'Three letters picked without replacement from qqomqqqqmmmmrq. What is prob of sequence moq?\n' | b'5/312\n' | deepmind/math_dataset |
b'Suppose -5*u + 27 = -2*a, 7 = 3*a + 2*u - 0. Let k(x) be the first derivative of 8/3*x**3 - 3 - 1/2*x**2 - x. What is k(a)?\n' | b'8\n' | b'Suppose -5*u + 27 = -2*a, 7 = 3*a + 2*u - 0. Let k(x) be the first derivative of 8/3*x**3 - 3 - 1/2*x**2 - x. What is k(a)?\n' | b'8\n' | deepmind/math_dataset |
b'Let d = -60 + 108. What is the third derivative of -48*k + d*k - 2*k**2 - 3*k**5 wrt k?\n' | b'-180*k**2\n' | b'Let d = -60 + 108. What is the third derivative of -48*k + d*k - 2*k**2 - 3*k**5 wrt k?\n' | b'-180*k**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 m and 1 d when three letters picked without replacement from {d: 1, m: 6, n: 1, g: 7}?\n' | b'3/91\n' | b'What is prob of picking 2 m and 1 d when three letters picked without replacement from {d: 1, m: 6, n: 1, g: 7}?\n' | b'3/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eeeeeee. Give prob of picking 2 e.\n' | b'1\n' | b'Two letters picked without replacement from eeeeeee. Give prob of picking 2 e.\n' | b'1\n' | deepmind/math_dataset |
b'Let t(d) = -10*d + 1. Let v(u) = 23*u - 3. Let h(z) = -5*t(z) - 2*v(z). Give h(-2).\n' | b'-7\n' | b'Let t(d) = -10*d + 1. Let v(u) = 23*u - 3. Let h(z) = -5*t(z) - 2*v(z). Give h(-2).\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of sequence jkj when three letters picked without replacement from {j: 3, u: 9, a: 5, k: 2}.\n' | b'2/969\n' | b'Calculate prob of sequence jkj when three letters picked without replacement from {j: 3, u: 9, a: 5, k: 2}.\n' | b'2/969\n' | deepmind/math_dataset |
b'What is prob of picking 1 w, 2 c, and 1 b when four letters picked without replacement from wwbbwbcbbczzbyc?\n' | b'18/455\n' | b'What is prob of picking 1 w, 2 c, and 1 b when four letters picked without replacement from wwbbwbcbbczzbyc?\n' | b'18/455\n' | deepmind/math_dataset |
b'Two letters picked without replacement from owwhhnwppp. Give prob of picking 1 h and 1 p.\n' | b'2/15\n' | b'Two letters picked without replacement from owwhhnwppp. Give prob of picking 1 h and 1 p.\n' | b'2/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uusi. What is prob of picking 1 u and 1 s?\n' | b'1/3\n' | b'Two letters picked without replacement from uusi. What is prob of picking 1 u and 1 s?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let y(l) = -3*l + 6 - 6 - 7 - 10. Let b be y(-7). Find the second derivative of 4*m**4 - m + 2*m**b + 5*m - 3*m**4 wrt m.\n' | b'36*m**2\n' | b'Let y(l) = -3*l + 6 - 6 - 7 - 10. Let b be y(-7). Find the second derivative of 4*m**4 - m + 2*m**b + 5*m - 3*m**4 wrt m.\n' | b'36*m**2\n' | deepmind/math_dataset |
b'Let p(v) be the second derivative of 0 + 0*v**2 - 44*v - 3/4*v**4 + 0*v**3. Calculate p(1).\n' | b'-9\n' | b'Let p(v) be the second derivative of 0 + 0*v**2 - 44*v - 3/4*v**4 + 0*v**3. Calculate p(1).\n' | b'-9\n' | deepmind/math_dataset |
b'Let g(p) be the second derivative of 3*p**5/20 + 5*p**2/2 + 8*p. Differentiate g(u) with respect to u.\n' | b'9*u**2\n' | b'Let g(p) be the second derivative of 3*p**5/20 + 5*p**2/2 + 8*p. Differentiate g(u) with respect to u.\n' | b'9*u**2\n' | deepmind/math_dataset |
b'Let l = -8 + 8. Suppose -3*h = b + b - 18, 5*b - 15 = l. Find the second derivative of -1 - 3*y**h - y + 1 wrt y.\n' | b'-36*y**2\n' | b'Let l = -8 + 8. Suppose -3*h = b + b - 18, 5*b - 15 = l. Find the second derivative of -1 - 3*y**h - y + 1 wrt y.\n' | b'-36*y**2\n' | deepmind/math_dataset |
b'Simplify (g**(16/3)/g**(1/4))/(g**(-19/4)/((g/g**23)/g)) assuming g is positive.\n' | b'g**(-79/6)\n' | b'Simplify (g**(16/3)/g**(1/4))/(g**(-19/4)/((g/g**23)/g)) assuming g is positive.\n' | b'g**(-79/6)\n' | deepmind/math_dataset |
b'Find the third derivative of -33675*z**2 + 8*z - 315*z**3 + 8 + 2204*z**6 + 315*z**3 + 33666*z**2 wrt z.\n' | b'264480*z**3\n' | b'Find the third derivative of -33675*z**2 + 8*z - 315*z**3 + 8 + 2204*z**6 + 315*z**3 + 33666*z**2 wrt z.\n' | b'264480*z**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i, 1 v, 1 r, and 1 c when four letters picked without replacement from {r: 3, v: 1, i: 4, c: 3}.\n' | b'6/55\n' | b'Calculate prob of picking 1 i, 1 v, 1 r, and 1 c when four letters picked without replacement from {r: 3, v: 1, i: 4, c: 3}.\n' | b'6/55\n' | deepmind/math_dataset |
b'Let d be (-1)/(-2) - (-282)/(-4). Let n = -65 - d. Solve 5*i + 3*m - 8 + 25 = 0, -n*i + 11 = -4*m for i.\n' | b'-1\n' | b'Let d be (-1)/(-2) - (-282)/(-4). Let n = -65 - d. Solve 5*i + 3*m - 8 + 25 = 0, -n*i + 11 = -4*m for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 4*v = v + 12. Suppose a + a + p - 11 = 0, 4*a = -v*p + 12. Solve -3 = q + b - 5, 4*q - a = 3*b for q.\n' | b'2\n' | b'Suppose 4*v = v + 12. Suppose a + a + p - 11 = 0, 4*a = -v*p + 12. Solve -3 = q + b - 5, 4*q - a = 3*b for q.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uvavavawvvwv. What is prob of sequence vv?\n' | b'5/22\n' | b'Two letters picked without replacement from uvavavawvvwv. What is prob of sequence vv?\n' | b'5/22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fkufafufiii. Give prob of picking 1 u, 1 i, and 1 f.\n' | b'8/55\n' | b'Three letters picked without replacement from fkufafufiii. Give prob of picking 1 u, 1 i, and 1 f.\n' | b'8/55\n' | deepmind/math_dataset |
b'Let w(g) be the third derivative of -g**7/30 + g**5/30 + 5*g**2. Find the third derivative of w(q) wrt q.\n' | b'-168*q\n' | b'Let w(g) be the third derivative of -g**7/30 + g**5/30 + 5*g**2. Find the third derivative of w(q) wrt q.\n' | b'-168*q\n' | deepmind/math_dataset |
b'Let u(i) be the first derivative of i**5/20 - i**3/6 - 6*i**2 + 5*i + 1. Let c(r) be the first derivative of u(r). Calculate c(0).\n' | b'-12\n' | b'Let u(i) be the first derivative of i**5/20 - i**3/6 - 6*i**2 + 5*i + 1. Let c(r) be the first derivative of u(r). Calculate c(0).\n' | b'-12\n' | deepmind/math_dataset |
b'Simplify (a**(2/73)/a)**13 assuming a is positive.\n' | b'a**(-923/73)\n' | b'Simplify (a**(2/73)/a)**13 assuming a is positive.\n' | b'a**(-923/73)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dfvvkvvkdd. Give prob of sequence kdvk.\n' | b'1/210\n' | b'Four letters picked without replacement from dfvvkvvkdd. Give prob of sequence kdvk.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let s(n) = n**3 - 6*n**2 + n - 4. Let d be s(6). Solve p + 1 = a, -a = 4*p - d*a - 5 for p.\n' | b'2\n' | b'Let s(n) = n**3 - 6*n**2 + n - 4. Let d be s(6). Solve p + 1 = a, -a = 4*p - d*a - 5 for p.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((m*m**(1/5)*m)/(m**(-3)/m)*m**(-4)*(m**(-2)/m)/m)**32 assuming m is positive.\n' | b'm**(-288/5)\n' | b'Simplify ((m*m**(1/5)*m)/(m**(-3)/m)*m**(-4)*(m**(-2)/m)/m)**32 assuming m is positive.\n' | b'm**(-288/5)\n' | deepmind/math_dataset |
b'Let d(g) = g**2 - 3*g - 2. Suppose -m + 18 = 4*b, -5*b = -4*m - 1 - 11. Let s be d(b). Solve -3*v + s*h + 2 = 0, -3*v - 11 = -5*h - 25 for v.\n' | b'-2\n' | b'Let d(g) = g**2 - 3*g - 2. Suppose -m + 18 = 4*b, -5*b = -4*m - 1 - 11. Let s be d(b). Solve -3*v + s*h + 2 = 0, -3*v - 11 = -5*h - 25 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let d(w) = -5*w**4 - 5*w**3 + 5*w**2 + 5*w. Let q(p) = p**4 - p**3 + p**2. Let u(m) = -d(m) + 5*q(m). Find the second derivative of u(z) wrt z.\n' | b'120*z**2\n' | b'Let d(w) = -5*w**4 - 5*w**3 + 5*w**2 + 5*w. Let q(p) = p**4 - p**3 + p**2. Let u(m) = -d(m) + 5*q(m). Find the second derivative of u(z) wrt z.\n' | b'120*z**2\n' | deepmind/math_dataset |
b'Let d be (4/108*12)/((-4)/(-144)). Solve d + 13 = -3*y - 4*b, -5*y - 2*b = 25 for y.\n' | b'-3\n' | b'Let d be (4/108*12)/((-4)/(-144)). Solve d + 13 = -3*y - 4*b, -5*y - 2*b = 25 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 5*l - 35 = -132*r + 129*r, 4*r - 43 = -3*l. Solve -i = 3*s - 5 - r, s = i + 5 for s.\n' | b'5\n' | b'Suppose 5*l - 35 = -132*r + 129*r, 4*r - 43 = -3*l. Solve -i = 3*s - 5 - r, s = i + 5 for s.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose m = 3*m - 18*m. Solve -r + 2 = 2*h, m = -5*h - 3*r + 2 + 2 for h.\n' | b'2\n' | b'Suppose m = 3*m - 18*m. Solve -r + 2 = 2*h, m = -5*h - 3*r + 2 + 2 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, o: 3, z: 5, r: 1, p: 3, q: 4}. What is prob of sequence zo?\n' | b'15/272\n' | b'Two letters picked without replacement from {v: 1, o: 3, z: 5, r: 1, p: 3, q: 4}. What is prob of sequence zo?\n' | b'15/272\n' | deepmind/math_dataset |
b'What is prob of sequence mm when two letters picked without replacement from {m: 3, a: 8}?\n' | b'3/55\n' | b'What is prob of sequence mm when two letters picked without replacement from {m: 3, a: 8}?\n' | b'3/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rhfhrhhfhfr. Give prob of picking 2 f.\n' | b'3/55\n' | b'Two letters picked without replacement from rhfhrhhfhfr. Give prob of picking 2 f.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let r(i) = -8*i + 3. Let b(d) = -7*d + 2. Let v(y) = 5*b(y) - 4*r(y). Determine v(-2).\n' | b'4\n' | b'Let r(i) = -8*i + 3. Let b(d) = -7*d + 2. Let v(y) = 5*b(y) - 4*r(y). Determine v(-2).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence avww when four letters picked without replacement from {w: 3, v: 3, e: 1, a: 3}.\n' | b'3/280\n' | b'Calculate prob of sequence avww when four letters picked without replacement from {w: 3, v: 3, e: 1, a: 3}.\n' | b'3/280\n' | deepmind/math_dataset |
b'Let m(z) be the second derivative of -z**5/40 + z**4/8 - z**3/6 + 3*z. Let b(l) be the second derivative of m(l). What is the derivative of b(q) wrt q?\n' | b'-3\n' | b'Let m(z) be the second derivative of -z**5/40 + z**4/8 - z**3/6 + 3*z. Let b(l) be the second derivative of m(l). What is the derivative of b(q) wrt q?\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence szwu when four letters picked without replacement from {u: 1, b: 1, z: 1, s: 1, w: 3}?\n' | b'1/280\n' | b'What is prob of sequence szwu when four letters picked without replacement from {u: 1, b: 1, z: 1, s: 1, w: 3}?\n' | b'1/280\n' | deepmind/math_dataset |
b'Suppose -4*h + 8 = 28. Let s(b) = b**2 + 2*b - 12. Let i be s(h). Solve i*m - 2*m + 4 = -r, -4 = 5*m + r for m.\n' | b'0\n' | b'Suppose -4*h + 8 = 28. Let s(b) = b**2 + 2*b - 12. Let i be s(h). Solve i*m - 2*m + 4 = -r, -4 = 5*m + r for m.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = 3*u - 7*u + 12. Suppose -u - 4 = -7*d. What is the first derivative of d + 0*s + 15*s**3 - 6*s**3 + 0*s wrt s?\n' | b'27*s**2\n' | b'Suppose 0 = 3*u - 7*u + 12. Suppose -u - 4 = -7*d. What is the first derivative of d + 0*s + 15*s**3 - 6*s**3 + 0*s wrt s?\n' | b'27*s**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxxxxxxxlxxxxxxxxxx. What is prob of picking 1 l and 2 x?\n' | b'3/20\n' | b'Three letters picked without replacement from xxxxxxxxxlxxxxxxxxxx. What is prob of picking 1 l and 2 x?\n' | b'3/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence dfde when four letters picked without replacement from fedefdvdvd.\n' | b'1/105\n' | b'Calculate prob of sequence dfde when four letters picked without replacement from fedefdvdvd.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (i/(i/i**(2/23)))**(-1/35) assuming i is positive.\n' | b'i**(-2/805)\n' | b'Simplify (i/(i/i**(2/23)))**(-1/35) assuming i is positive.\n' | b'i**(-2/805)\n' | deepmind/math_dataset |
b'Let m(p) be the second derivative of p**7/42 - 11*p**6/30 + 7*p**4/12 - 37*p**3/6 + 49*p**2/2 - 7945*p. Find the second derivative of m(z) wrt z.\n' | b'20*z**3 - 132*z**2 + 14\n' | b'Let m(p) be the second derivative of p**7/42 - 11*p**6/30 + 7*p**4/12 - 37*p**3/6 + 49*p**2/2 - 7945*p. Find the second derivative of m(z) wrt z.\n' | b'20*z**3 - 132*z**2 + 14\n' | deepmind/math_dataset |
b'Let a(o) = -4*o**4 - 21*o**2 - 17*o - 40. Let b(u) = u**4 + 5*u**2 + 4*u + 10. Let r(y) = 2*a(y) + 9*b(y). Find the second derivative of r(g) wrt g.\n' | b'12*g**2 + 6\n' | b'Let a(o) = -4*o**4 - 21*o**2 - 17*o - 40. Let b(u) = u**4 + 5*u**2 + 4*u + 10. Let r(y) = 2*a(y) + 9*b(y). Find the second derivative of r(g) wrt g.\n' | b'12*g**2 + 6\n' | deepmind/math_dataset |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.