derivative of -q**5/12 - 5*q**4/4 - 25*q**3/6 - 90*q**2. Determine j so that h(j) = 0.
-5, -1
Let b = 565 - 1687/3. Find w such that 8/3*w**2 + 10*w**3 + 0 - b*w = 0.
-2/3, 0, 2/5
Factor 1/2 - 15/2*x**2 + 7/4*x.
-(5*x - 2)*(6*x + 1)/4
Let r(n) be the second derivative of n**7/1260 - n**6/45 + n**5/4 - 25*n**4/18 + 13*n**3/3 + 2*n. Let c(y) be the second derivative of r(y). Factor c(i).
2*(i - 5)**2*(i - 2)/3
Factor -1728/5 - 3/5*i**3 - 147/5*i**2 - 1872/5*i.
-3*(i + 1)*(i + 24)**2/5
Let p be 0 - 1 - (-2438)/290. Let y = p + -6/29. What is q in -y*q**3 + 0 + 8*q**2 - 2/5*q**5 + 14/5*q**4 - 16/5*q = 0?
0, 1, 2
Let z(o) = 2*o**4 + 2*o**3 - o**2 + 1. Let q(l) = 4*l**4 + 6*l**3 + 51*l**2 + 100*l + 51. Let s(n) = q(n) - 3*z(n). Solve s(x) = 0 for x.
-4, -1, 6
Let l(w) be the second derivative of -w**8/26880 - w**7/2520 - w**6/960 + 2*w**4/3 + 13*w. Let f(b) be the third derivative of l(b). Factor f(o).
-o*(o + 1)*(o + 3)/4
Let v = 63 - 33. Suppose 0 = f + 3*f + 5*r + 3, -5*f + v = -5*r. Determine h so that 2*h**2 + 3*h**3 - 3*h**f - 2*h**3 = 0.
0, 1
Let g(p) = 2*p + 1. Let n(h) be the first derivative of -h**3/3 + 10*h**2 - 122*h - 25. Let c(o) = g(o) + n(o). Factor c(m).
-(m - 11)**2
Let x(r) be the third derivative of 1/42*r**7 + 0*r**3 + 0*r + 0*r**4 + 0 + 1/24*r**6 - 1/2*r**5 + 22*r**2. Solve x(d) = 0.
-3, 0, 2
Let -2/9*m**4 + 2/9*m**3 + 4/9 - 10/9*m + 2/3*m**2 = 0. What is m?
-2, 1
Let z(k) = -601*k + 3008. Let n be z(5). Factor 0*u**2 + 0 + 1/2*u**4 + 0*u + 1/2*u**n.
u**3*(u + 1)/2
Let f(h) be the second derivative of 7*h**6/165 + 8*h**5/55 + 2*h**4/33 + 14*h + 9. Factor f(n).
2*n**2*(n + 2)*(7*n + 2)/11
Let c(n) be the second derivative of n**5/20 - 17*n**4 + 2312*n**3 - 157216*n**2 + 287*n. Determine x, given that c(x) = 0.
68
Determine g, given that -54*g + 31/2 + 3/4*g**3 + 365/8*g**2 = 0.
-62, 1/2, 2/3
What is v in 9/4*v + 1/4*v**5 + 1/2 + 3/2*v**4 + 7/2*v**3 + 4*v**2 = 0?
-2, -1
Suppose 0 = -t - 2*a + 38 - 26, 5*a = -4*t + 45. Let d(l) be the first derivative of -1/6*l**3 - 2*l + l**2 + t. Determine f, given that d(f) = 0.
2
Factor -4*o**3 - 13*o**4 + o**2 + 2*o**5 - 3*o**5 + 20*o**4 + 16*o**2 - 13*o**3 - 6*o.
-o*(o - 3)*(o - 2)*(o - 1)**2
Suppose 8*n + 20 = 12*n. Solve 0*b**2 + 6*b + 9*b**2 - 3*b**3 + 23*b**n - 9*b**4 - 26*b**5 = 0 for b.
-2, -1, 0, 1
Let b = -919 + 919. Let s(n) be the third derivative of b*n**3 + 0 - 4*n**2 + 0*n - 1/300*n**6 - 1/60*n**4 + 1/75*n**5. Let s(o) = 0. What is o?
0, 1
Let x(i) be the second derivative of 1/2*i**2 - 1/210*i**5 + 0*i**3 - 1/420*i**6 - 10*i + 0*i**4 + 0. Let v(j) be the first derivative of x(j). Factor v(m).
-2*m**2*(m + 1)/7
Let d(u) be the second derivative of -25*u - 19/6*u**4 + 0 - 16*u**2 - 29/8*u**5 - 1/21*u**7 + 52/3*u**3 - 11/15*u**6. Factor d(n).
-(n + 4)**3*(2*n - 1)**2/2
Let b(m) be the first derivative of m**8/1120 + 3*m**7/1120 + m**6/480 - 2*m**3/3 + 8. Let l(s) be the third derivative of b(s). Determine i so that l(i) = 0.
-1, -1/2, 0
Let y = 13 - 1. Factor 24*j**2 + 33*j**2 - 18*j**2 + 48*j + y + 9*j**3.
3*(j + 2)**2*(3*j + 1)
Factor -360*x**2 + 430*x**2 - 1 + 18 + 23 + 115*x.
5*(2*x + 1)*(7*x + 8)
Let o(a) be the first derivative of 8/9*a + 2/27*a**3 + 1 - 4/9*a**2. Let o(s) = 0. Calculate s.
2
Let p(d) = 2*d**2 - 4*d - 7. Let c(m) = 2*m**2 - 2*m - 12. Let w(n) = 3*c(n) - 4*p(n). What is y in w(y) = 0?
1, 4
Let m = 23399/10396 - 2/2599. Factor m*r**3 + 9/4*r**2 + 3/4*r**4 + 0 + 3/4*r.
3*r*(r + 1)**3/4
Let u(m) = m**2 - 4*m + 7. Let p(o) = -2*o**2 + 7*o - 13. Let a(n) = -6*p(n) - 11*u(n). Let a(b) = 0. What is b?
-1
Determine s so that -66*s + 3/2*s**2 + 726 = 0.
22
Let n be 4/(-1)*3/(-6). Let g be 4/4*-2 + n. Find k such that 5*k**2 - 2*k + g*k**2 - 4 - 3*k**2 = 0.
-1, 2
Factor -2/7*z + 0 - 5/7*z**2 - 3/7*z**3 + 1/7*z**5 + 1/7*z**4.
z*(z - 2)*(z + 1)**3/7
Let z(n) = 2*n**2 + 2*n - 7. Let u be z(-3). Let d be (-2)/((-40)/84) + u + -9. Let -1/5*i**2 + 0 - 1/5*i**5 + 0*i + 1/5*i**4 + d*i**3 = 0. What is i?
-1, 0, 1
Factor 300 + 2/3*x**3 + 64/3*x**2 + 190*x.
2*(x + 2)*(x + 15)**2/3
Determine b so that 0*b**3 + 6*b**2 - 42*b**2 - 4*b**3 + 388 + 44 = 0.
-6, 3
Let v(u) be the first derivative of -u**5/150 - u**4/30 - u**3/15 - 9*u**2 - 35. Let c(n) be the second derivative of v(n). Find b such that c(b) = 0.
-1
Suppose -7*k = -11 - 10. Suppose -u - r + 6*r = 0, 3*r = -k*u. What is x in 2/13*x**2 - 2/13*x + u = 0?
0, 1
Let i = -7 + 7. Let t(d) = d**3 + d + 3. Let j be t(i). Factor -g**4 + 4*g**3 + 5*g**4 + j*g**5 - 2*g**5.
g**3*(g + 2)**2
Let i be (56/21)/((200/(-6))/(-25)). Factor 0*r**i + 0*r + 2/7*r**3 + 0.
2*r**3/7
Let z = -56129/6 + 9355. Find u such that -4/3*u - z*u**4 + 8/3 - 5/2*u**2 + 4/3*u**3 = 0.
-1, 1, 4
Suppose 0 = -6*u + 12*u - 6. Let m(z) = 1. Let d(w) = -3*w**2 - 6*w + 6. Let h(c) = u*d(c) + 3*m(c). Solve h(j) = 0 for j.
-3, 1
Solve -93*s**4 + 13*s**4 - 2 + 1215*s - 5*s**5 + 1080*s**2 + 2 - 67*s**3 - 143*s**3 = 0 for s.
-9, -1, 0, 3
Let m(g) be the third derivative of -g**5/140 - 2*g**4/7 + 18*g**3/7 - 41*g**2 - 1. Let m(l) = 0. What is l?
-18, 2
Suppose 48*c - 42*c - 12 = 0. Let g(l) be the third derivative of 1/84*l**4 + 0*l - 2/21*l**3 + 0 - 4*l**c + 1/70*l**5. Factor g(q).
2*(q + 1)*(3*q - 2)/7
Let h = 692/5943 - 6/283. Let o(c) be the first derivative of 0*c - 1/7*c**2 - h*c**3 - 7. Suppose o(r) = 0. Calculate r.
-1, 0
Suppose 200/9 + 2/9*b**2 + 40/9*b = 0. Calculate b.
-10
Let x(k) = 2*k**4 - k**2 + k - 1. Let d(w) = 25*w**4 + 60*w**3 + 45*w**2 + 10*w - 10. Let j(q) = -d(q) + 10*x(q). Find v, given that j(v) = 0.
-11, -1, 0
Let s(c) = -2*c**2 - 47*c + 22. Let p(x) = -x**2 - 24*x + 12. Let h(n) = 11*p(n) - 6*s(n). Solve h(g) = 0.
-18, 0
Suppose 4*f + 10 - 2 = 0. Let n = f - -5. Factor 6 - j - j**2 + 0 - 2 + j**n - 3.
(j - 1)**2*(j + 1)
Let s(o) = o**2 - 1 + 10*o - 10*o. Suppose 10*u - 2*a = 5*u + 3, -5*u = 5*a - 10. Let q(d) = d**3 + 6*d**2 - d - 6. Let p(f) = u*q(f) - 5*s(f). Factor p(n).
(n - 1)*(n + 1)**2
Factor -1/7*r**3 - 8/7*r - 9/7*r**2 + 0.
-r*(r + 1)*(r + 8)/7
Let p(m) be the third derivative of 0*m + 0 - 1/15*m**3 + 41*m**2 - 1/30*m**5 - 1/10*m**4. Factor p(b).
-2*(b + 1)*(5*b + 1)/5
Let t be 20/14*(279/18 - 12). Let u(z) be the second derivative of 0 + 3/140*z**t + 6*z - 1/14*z**3 + 1/14*z**4 - 3/7*z**2. Factor u(c).
3*(c - 1)*(c + 1)*(c + 2)/7
Let i be ((-1925)/(-66))/25*4/35. Factor -18/5*g + 18/5 - i*g**3 + 6/5*g**2.
-2*(g - 3)**3/15
Suppose 5*d - 4*u + 5 = 0, 2*d + 5*u = -3*d + 40. Let c + 3*c**2 + 6*c**4 + 4*c - 2*c**3 + c - 13*c**d = 0. What is c?
-1/2, 0, 1, 2
Let s(x) be the second derivative of x**5/10 - x**4 + 3*x**3 - 4*x**2 - 291*x. Factor s(c).
2*(c - 4)*(c - 1)**2
Suppose 0 = 3*g + 3*n - 9, -5*g = -2*n + 26 - 20. Let g*w + 0 + 3/7*w**2 = 0. What is w?
0
Suppose 82*z = 89*z - 28. Let c(q) be the first derivative of 0*q**3 + 0*q**2 - 6 - 1/2*q**z + 0*q. Let c(s) = 0. What is s?
0
Suppose -5*o = -9*o + 24. Let s(d) be the first derivative of 0*d**2 + 1/6*d**o - 2/3*d**3 + 2/5*d**5 - 1/4*d**4 + 0*d - 3. Determine p so that s(p) = 0.
-2, -1, 0, 1
Suppose 36*z - 10*z - 24*z = 21*z. Let 0*o**2 + z*o + 0 + 2/7*o**3 = 0. What is o?
0
Suppose -4*g + 2*f - 7 = -f, 0 = -2*g + 4*f - 16. Let a(b) be the first derivative of -2*b - 1/6*b**3 + 7 - b**g. Factor a(x).
-(x + 2)**2/2
Let y(c) be the third derivative of c**5/24 + 35*c**4/48 - 15*c**3/2 + 2*c**2 - 26*c. Factor y(j).
5*(j - 2)*(j + 9)/2
Suppose 5*b - 5 = 0, b = -2*t - 2 + 13. Let r be (t/((-150)/(-27)))/(12/10). Solve -r*k**3 - 15/4*k + 3*k**2 + 3/2 = 0 for k.
1, 2
Let i(t) be the second derivative of -5/14*t**7 + 2/3*t**6 + 0*t**4 - 4*t + 0*t**2 - 1/4*t**5 + 0 + 0*t**3. Factor i(k).
-5*k**3*(k - 1)*(3*k - 1)
Suppose -3*k - 155 = -170. Let r(c) be the second derivative of 0*c**2 - 6*c + 1/20*c**4 - 1/50*c**6 + 1/10*c**3 + 0 - 3/100*c**k. What is y in r(y) = 0?
-1, 0, 1
Let -16/9*s**2 - 2/3*s + 16/9*s**4 + 4/3*s**3 - 2/3*s**5 + 0 = 0. What is s?
-1, -1/3, 0, 1, 3
Suppose 0 = 4*d + 3*z + 2 - 1, -4*d + 23 = -5*z. Suppose d*o = 3*o - 8. Suppose 3*y**2 + 7*y**3 - o*y**3 + 2*y + 0*y + 2*y = 0. What is y?
-1, 0, 4
Suppose 2*m + 1 = 3*b, -4*m - 35 = 5*b - 0*m. Let z be 10/5*b/(-10). Factor 0*n - 1/5*n**2 + 0 - z*n**5 - 7/5*n**4 - n**3.
-n**2*(n + 1)**2*(3*n + 1)/5
Let q(f) = f**2 - 13*f - 13. Let 