Let n(a) be the first derivative of 8*a**6/21 + 408*a**5/35 + 723*a**4/7 + 3746*a**3/21 + 888*a**2/7 + 288*a/7 + 6. What is b in n(b) = 0?
-12, -1/2
Let f(u) be the second derivative of 11*u - 3/2*u**2 + 0 + 0*u**3 + 1/4*u**4. Determine c, given that f(c) = 0.
-1, 1
Let h(i) be the first derivative of i**6/18 - i**5/5 - i**4/12 + 11*i**3/9 - 2*i**2 + 4*i/3 + 215. Factor h(n).
(n - 2)*(n - 1)**3*(n + 2)/3
Let z = -80 - -56. Let l = -17 - z. Factor -l*g**2 + 9*g**2 + 4*g + 0*g.
2*g*(g + 2)
Let f(m) be the second derivative of -m**5/5 - 32*m**4/3 - 62*m**3/3 - 3*m + 66. Factor f(y).
-4*y*(y + 1)*(y + 31)
Let l(a) be the first derivative of -3*a**5/5 - 3*a**4/4 + 3*a**3 + 3*a**2/2 - 6*a - 21. Determine c, given that l(c) = 0.
-2, -1, 1
Let c(r) be the first derivative of -18/7*r**5 - 8/7*r**2 + 24/7*r**3 + 8 + 25/21*r**6 + 0*r - 13/7*r**4. Solve c(h) = 0 for h.
-1, 0, 2/5, 2
Let q = -144 + 147. Let x(t) be the second derivative of 1/6*t**4 - 5*t + t**q - 2*t**2 + 1/15*t**6 - 3/10*t**5 + 0. Factor x(r).
2*(r - 2)*(r - 1)**2*(r + 1)
Let t = 15116/3 - 5083. Let j = t - -45. Find s such that 0 + 2/3*s**4 - 4/3*s - 14*s**5 - j*s**2 + 46/3*s**3 = 0.
-1, -2/7, 0, 1/3, 1
Determine s, given that -46/21*s + 16/7*s**2 - 2/21*s**3 + 0 = 0.
0, 1, 23
Let a(j) be the second derivative of 0*j**3 - 5/42*j**7 - 10*j**2 + 6*j - 1/2*j**6 + 1/4*j**5 + 35/12*j**4 + 0. Let a(q) = 0. Calculate q.
-2, -1, 1
Find g, given that -6*g**4 + 12*g + 90*g**2 - 5*g**4 - 7*g**4 + 6*g**4 - 27*g**3 + 12*g = 0.
-4, -1/4, 0, 2
Let x = -725 + 5801/8. Let v(n) be the first derivative of 3/20*n**5 + 3/8*n**2 - 1/24*n**6 - x*n**4 - 1/4*n + 8 - 1/6*n**3. Let v(b) = 0. Calculate b.
-1, 1
Let m(t) = -3*t**5 + 83*t**4 + 86*t**3 - 2*t + 2. Let g(u) = -5*u**5 + 165*u**4 + 170*u**3 - 5*u + 5. Let a(f) = 2*g(f) - 5*m(f). Factor a(b).
5*b**3*(b - 18)*(b + 1)
Let k be ((-3228)/402 - -4) + 4. Let y = k - -152/603. Find n such that -8/9 - 16/9*n - 10/9*n**2 - y*n**3 = 0.
-2, -1
Suppose -s + 3*s = 48. Suppose 22*a**3 + 6*a**5 + 5*a**4 + 9*a + 3*a**4 + s*a**2 - 5*a**5 = 0. Calculate a.
-3, -1, 0
Let b(y) be the third derivative of -1/60*y**5 + 0 + 1/210*y**7 + 0*y - 24*y**2 - 1/40*y**6 + 1/12*y**4 + 1/336*y**8 + 0*y**3. Factor b(a).
a*(a - 1)**2*(a + 1)*(a + 2)
Suppose 5*u - 3*p - 43 + 9 = 0, 9 = -3*p. Let l(m) be the first derivative of 1/10*m**4 - 1 + 4/15*m**3 + 0*m + 0*m**2 - 2/25*m**u. Let l(z) = 0. What is z?
-1, 0, 2
Let z(g) be the second derivative of g**6/135 - 2*g**4/27 - g + 4. Let z(l) = 0. Calculate l.
-2, 0, 2
Let u(i) be the first derivative of i**4/4 - 3*i**3 - i**2 + 18*i - 18. Let a be u(9). Solve 0 + 2/15*o**5 + a*o - 4/15*o**2 - 8/15*o**4 + 2/3*o**3 = 0.
0, 1, 2
Let c(d) be the second derivative of 3*d**5/20 + 2*d**4 - 55*d. Suppose c(q) = 0. What is q?
-8, 0
Let z(c) = c**3 - 9*c**2 + 20*c - 6. Let n be z(3). Let p be 2*(-2 + 2 + 1). Factor -2/3*v**4 + n - 4/3*v**p + 0*v + 2*v**3.
-2*v**2*(v - 2)*(v - 1)/3
Factor q**3 + 0 + 122*q**2 - q - 16 - 122*q**2 - 11*q.
(q - 4)*(q + 2)**2
Suppose -g - 3*r + 9 = -6*g, -2*r - 1 = -g. Let z be -1 + g/63*-39. Factor -4/7*x - 2/7*x**2 + z.
-2*(x - 1)*(x + 3)/7
Let t = -1925/2 + 963. Let a = 10 + -5. Determine u, given that -1/2*u**4 + t*u**2 + 0*u**3 + 0 - 1/4*u + 1/4*u**a = 0.
-1, 0, 1
Solve -2/13*a**3 + 32/13*a - 30/13*a**2 + 0 = 0.
-16, 0, 1
Let u(p) be the third derivative of p**7/840 + p**6/80 + 3*p**5/80 + p**4/24 - 2*p**2 - 43. Find v such that u(v) = 0.
-4, -1, 0
Let n(v) = -3*v - v + 3*v + 1 + 16. Let u be n(13). Factor 15*p**3 + 0*p**3 - p**2 + 0*p**3 + 12*p**5 + 24*p**u + 4*p**2.
3*p**2*(p + 1)*(2*p + 1)**2
Let j = -96 + 97. Suppose -l + j = 2*t, 2*l - 5 = 2*t - 15. Suppose 2/3*w + 4/3 - 2/3*w**t = 0. What is w?
-1, 2
Let p be 14/6 + 6/(-18). Factor 6*b**p - 15*b**4 - 18 - 9*b**3 + 18.
-3*b**2*(b + 1)*(5*b - 2)
Let v(x) be the second derivative of -x**7/378 - 2*x**6/135 - x**5/45 + x + 180. What is y in v(y) = 0?
-2, 0
Let a(k) be the second derivative of -k**7/168 + k**6/40 + k**5/80 - k**4/16 - 4*k. Solve a(g) = 0.
-1, 0, 1, 3
Let o(x) be the first derivative of 4*x**6/3 + 62*x**5/5 - 22*x**4 + 6*x**3 + 99. Solve o(r) = 0.
-9, 0, 1/4, 1
Let d(j) = -2*j**2 + 105. Let n(r) = 6*r**2 - 2*r - 314. Let h(t) = -10*d(t) - 3*n(t). Factor h(m).
2*(m - 6)*(m + 9)
Let t = -2/49581 + 28112435/198324. Let z = -141 + t. Factor 0*h + 0 - 3/2*h**3 + z*h**4 + 3/4*h**2.
3*h**2*(h - 1)**2/4
Let k(l) be the first derivative of l**6/4 - 12*l**5/5 + 39*l**4/8 + 11*l**3 - 24*l**2 - 48*l + 75. Solve k(x) = 0.
-1, 2, 4
Solve 171*s - 81*s**4 - 224*s**2 - 31*s**3 + 85*s + 80*s**4 = 0 for s.
-16, 0, 1
Let p = 2571 - 2571. Let p - 3/2*m**2 + 3/4*m + 3/4*m**3 = 0. What is m?
0, 1
Let f(m) = -m**2 - 2*m + 3. Let c be f(-4). Let r(l) = l**3 + 5*l**2 + 2*l + 12. Let n be r(c). Factor -j - n*j + 8 - j - 4*j**2 + 0.
-4*(j - 1)*(j + 2)
Let u(x) be the first derivative of -21*x**5/5 + 3*x**4 + 3*x**3 + 62. Factor u(n).
-3*n**2*(n - 1)*(7*n + 3)
Let -16 - 196/5*i**2 - 336/5*i = 0. Calculate i.
-10/7, -2/7
Let t = 7349/77 - 1031/11. Suppose t*r - 2/7*r**2 - 10/7 = 0. Calculate r.
1, 5
Factor -26/11*b**2 - 20/11*b + 0 + 2/11*b**4 - 4/11*b**3.
2*b*(b - 5)*(b + 1)*(b + 2)/11
Let q(y) be the first derivative of y**5/120 - y**4/2 + 12*y**3 + 17*y**2/2 - 2. Let h(l) be the second derivative of q(l). Factor h(p).
(p - 12)**2/2
Let v(w) = w**2 - 10*w + 3. Suppose -4 = 30*t - 29*t. Let k(x) = -x**2 + 11*x - 4. Let s(n) = t*v(n) - 3*k(n). Factor s(b).
-b*(b - 7)
Let i = -23 - -34. Suppose n = 5*p + i, n + 2*p - 2 = 2. Factor 2*h + 5*h**2 + n*h**5 - 6*h**2 - 3*h**3 - 5*h**5 + h**4.
h*(h - 1)**2*(h + 1)*(h + 2)
Suppose 2*d - 32 = -4*r, -4*d + 3*d - 4*r + 18 = 0. Suppose 0 = -d*l + 9*l + 10. Solve -b**2 - b**2 - l + 2*b**2 - b**2 - 3*b = 0.
-2, -1
Let a(q) = -q**3 + 2*q**2 + q + 2. Let f(r) = -2*r**3 + 2*r**2 + r + 3. Let s(o) = 3*a(o) - 2*f(o). Factor s(h).
h*(h + 1)**2
Let o(h) be the second derivative of h**4/18 - 380*h**3/9 + 36100*h**2/3 - 477*h. Suppose o(x) = 0. What is x?
190
Let b be (-6 - -2)*70/(-56). Let c(y) be the third derivative of 0 + 0*y - 1/4*y**4 + 2*y**2 + 1/20*y**b + 1/2*y**3. Factor c(t).
3*(t - 1)**2
Let p(u) be the first derivative of -u**3/15 + 29*u**2/5 - 841*u/5 + 192. Solve p(a) = 0.
29
Let k = 19/28 - -167/84. Let 0*v + 2*v**4 + 0 + 0*v**3 - 2/3*v**5 - k*v**2 = 0. What is v?
-1, 0, 2
Let u be 250/4 - (-11)/22. Let n = u - 125/2. Solve -n*g**3 + 1/2*g**2 - 1/2*g**4 + 0 + 1/2*g = 0 for g.
-1, 0, 1
Suppose -2*f - r = -36, -3*f + 54 = -0*r + 2*r. Suppose -4*x + 26 = f. Let 16/7*d**3 - 8/7*d**4 + 8/7*d**x - 4/7*d + 0 - 12/7*d**5 = 0. Calculate d.
-1, 0, 1/3, 1
Let y(b) = 4*b**5 + 8*b**4 - 28*b**3 - 64*b**2 + 72*b. Let n(s) = s**4 - s**3 + s. Let h(f) = -8*n(f) - y(f). Solve h(q) = 0.
-5, -2, 0, 1, 2
Let g(l) be the second derivative of -l**5/8 - 125*l**4/8 - 3125*l**3/4 - 78125*l**2/4 - 67*l. Solve g(f) = 0 for f.
-25
Let j(g) be the third derivative of 33*g**7/70 - 41*g**6/20 + 17*g**5/20 + 7*g**4/2 + 2*g**3 + 230*g**2. Find h, given that j(h) = 0.
-1/3, -2/11, 1, 2
Let v(w) be the second derivative of w**6/20 + 3*w**5/8 + w**4/2 - 154*w - 1. Solve v(h) = 0.
-4, -1, 0
Let w = -46 - -48. Determine b, given that 28 + 39 + 38 + 5*b**w - 50*b + 20 = 0.
5
Let l(i) be the second derivative of 0*i**2 - 3/28*i**4 + 0 - 1/70*i**6 - 3/35*i**5 - 28*i + 0*i**3. Factor l(n).
-3*n**2*(n + 1)*(n + 3)/7
Let x(m) be the third derivative of -m**6/300 + 121*m**5/150 - 62*m**4 + 240*m**3 - m**2 - 11. Factor x(f).
-2*(f - 60)**2*(f - 1)/5
Let y(o) be the third derivative of -o**7/210 - o**6/20 - 3*o**5/20 + o**4/6 + 2*o**3 + 377*o**2. Factor y(v).
-(v - 1)*(v + 2)**2*(v + 3)
Let a(j) be the second derivative of j**4/9 - 8*j**2/3 - 28*j + 2. Factor a(o).
4*(o - 2)*(o + 2)/3
Let c(m) be the third derivative of -m**7/840 - 7*m**6/480 - 11*m**5/240 - 5*m**4/96 - 105*m**2 - 2. Suppose c(p) = 0. Calculate p.
-5, -1, 0
Determine i so that 0 - 1/4*i**5 + 65*i**2 - 69/2*i**3 - 42*i + 27/4*i**4 = 0.
0, 2, 21
Suppose n + 4*b = -45 + 73, -5*b + 30 = 0. Find z such that -27/5*z**2 + 4/5 + 19/5*z**3 - 4/5*z**n + 8/5*z = 0.
-1/4, 1, 2
Suppose 0*h + 36/7*h**2 + 0 + 16/7*h**3 - 1/7*h**4 = 0. Calculate h.
-2, 0, 18
Let o be (-16 - -21) + -5*1/1. Factor o*k + 0 + 1/5*k**3 + 1/5*k**2.
k**2*(k + 