*c - h*c**3 = 0. Calculate c.
-3, -1, 1
Let s(l) = 9*l - 608. Let y be s(68). Factor 0 - c**2 + 2/5*c + 4/5*c**3 - 1/5*c**y.
-c*(c - 2)*(c - 1)**2/5
Factor -2/5*l**2 - 1292/5*l - 208658/5.
-2*(l + 323)**2/5
Find q such that 0*q**4 + 358*q**2 - 12 + 28*q + 2*q**3 + q**4 - 377*q**2 = 0.
-6, 1, 2
Factor z**3 - 3*z**5 - 4*z**3 + 6*z**5 - z**5 + 2*z**2 - z**5.
z**2*(z - 1)**2*(z + 2)
Suppose -273*q + 291*q + 17 = 53. Suppose 7/4*z + z**q + 0 = 0. Calculate z.
-7/4, 0
Let j(k) be the third derivative of k**6/30 + 59*k**5/5 + 1320*k**4 + 15488*k**3/3 + 709*k**2. Factor j(i).
4*(i + 1)*(i + 88)**2
Factor 62/5 + 33/5*p + 1/5*p**2.
(p + 2)*(p + 31)/5
Let -c**2 - 18*c**2 + 57*c - c**2 - 3*c**3 - 30 - 4*c**2 = 0. What is c?
-10, 1
Let x(v) = -10*v + 2. Let u be x(0). Factor -676 - 14*g**u + 15*g + 18*g**2 + 89*g - 8*g**2.
-4*(g - 13)**2
Let a = -3/526 - -133/263. Suppose 4*p - a*p**4 + 2 + 3/2*p**2 - p**3 = 0. Calculate p.
-2, -1, 2
Let l(s) = s**3 + s**2 + s - 1. Let o(j) = 24*j**3 - 100*j**2 - 148*j - 8. Let a(d) = -8*l(d) - o(d). Factor a(k).
-4*(k - 4)*(k + 1)*(8*k + 1)
Factor 30*h**2 - 12*h**2 - 4*h**2 - 6*h**2 + 10 - 7*h**2 - 7*h.
(h - 5)*(h - 2)
Let n(v) be the first derivative of -v**6/30 + 3*v**5/25 + v**4/5 + 62. Suppose n(u) = 0. Calculate u.
-1, 0, 4
Let j(y) be the third derivative of 0*y**4 + 0*y - 1/140*y**6 - 1/735*y**7 - 1/105*y**5 + 31*y**2 + 0*y**3 + 0. Let j(p) = 0. Calculate p.
-2, -1, 0
Let m(t) be the second derivative of -t**5/16 + t**4/8 - t**3/24 - 36*t - 2. Factor m(c).
-c*(c - 1)*(5*c - 1)/4
Let w = -1156 + 1158. Let f(c) be the first derivative of 4 + 6*c + 2*c**4 - 2/5*c**5 - 4*c**w - 4/3*c**3. Find p such that f(p) = 0.
-1, 1, 3
Let l(c) = -5*c**5 - 41*c**4 - 49*c**3 - 31*c**2 - 6*c + 6. Let b(g) = 5*g**5 + 40*g**4 + 50*g**3 + 30*g**2 + 5*g - 5. Let m(i) = -6*b(i) - 5*l(i). Factor m(d).
-5*d**2*(d + 1)**2*(d + 5)
Let r(w) be the first derivative of w**9/9072 - w**7/840 - w**6/540 + 13*w**3/3 + 6. Let x(k) be the third derivative of r(k). Factor x(z).
z**2*(z - 2)*(z + 1)**2/3
Factor 40/7*n + 48/7*n**2 + 12/7 + 4/7*n**4 + 24/7*n**3.
4*(n + 1)**3*(n + 3)/7
Let g = -209 + 215. Let o(a) be the second derivative of 0*a**2 - 4*a - 1/42*a**7 + 0*a**4 + 0 - 1/20*a**5 + 0*a**3 + 1/15*a**g. Factor o(v).
-v**3*(v - 1)**2
Let d(p) = 3*p**4 + 98*p**3 - 356*p**2 - 156*p + 1924. Let q(r) = -10*r**4 - 390*r**3 + 1425*r**2 + 625*r - 7695. Let y(m) = 15*d(m) + 4*q(m). Factor y(v).
5*(v - 12)*(v - 4)**2*(v + 2)
Let n(u) be the third derivative of -1/100*u**5 + 0*u**4 + 27*u**2 + 0*u + 1/200*u**6 + 0 + 0*u**3. Solve n(p) = 0.
0, 1
Let n(z) be the third derivative of 2*z**7/735 + z**6/120 - 3*z**5/70 - z**4/6 + 4*z**3/21 - 16*z**2 - z. Factor n(t).
(t - 2)*(t + 2)**2*(4*t - 1)/7
Factor -1/11*l**3 - 2/11*l**2 + 1/11*l + 2/11.
-(l - 1)*(l + 1)*(l + 2)/11
Let c(q) be the third derivative of 0*q**3 - 2/3*q**4 + 0*q - 1/6*q**6 - 11*q**2 + 0 + 4/5*q**5. Let c(x) = 0. What is x?
0, 2/5, 2
Let a(p) be the first derivative of p**3/3 + p**2/2 + p - 4. Let d(j) = 13*j**2 + 7*j + 13. Let i(l) = 22*a(l) - 2*d(l). What is w in i(w) = 0?
1
Let x(b) = 3*b - 17. Let d be x(7). Solve 0*w**2 + 5*w + 7*w**2 - d*w**2 + 7*w = 0 for w.
-4, 0
Determine f so that -81/2*f**2 - 15*f**3 - 3/4*f**4 - 39*f - 51/4 = 0.
-17, -1
Let z be (-3)/((-1)/(-1)) + 13317/23. Factor 712 - 72*l**2 - 20*l**3 - z*l - 20*l**3 - 2248 + 37*l**3.
-3*(l + 8)**3
Let w(u) be the second derivative of -u**5/40 - 4*u**4/3 - 31*u**3/12 - 11*u + 7. Let w(m) = 0. Calculate m.
-31, -1, 0
Let l(r) be the first derivative of -2*r**3/9 - 7*r**2/3 + 16*r/3 + 193. What is x in l(x) = 0?
-8, 1
Let v(g) be the second derivative of -g**7/504 - g**6/72 - g**5/24 + 5*g**4/6 - 3*g. Let p(z) be the third derivative of v(z). Factor p(w).
-5*(w + 1)**2
Let l(u) = 35*u + 2453. Let h be l(-70). Suppose 1/2*d**2 + 0 + 1/4*d - 3/4*d**h = 0. Calculate d.
-1/3, 0, 1
Suppose 128/7 + 0*h**3 - 144/7*h - 1/7*h**4 + 44/7*h**2 = 0. What is h?
-8, 2, 4
Let f(g) be the third derivative of -g**7/2310 + g**6/330 + g**5/660 - 2*g**4/33 + 2*g**3/11 - 16*g**2. Solve f(h) = 0.
-2, 1, 2, 3
Let p = 2825/3 - 935. Factor -p*o**2 - 16/3 - 16*o.
-4*(o + 2)*(5*o + 2)/3
Let u(n) be the third derivative of 0*n**3 + 133/180*n**6 - 32*n**2 - 61/135*n**5 + 0*n - 49/432*n**8 - 7/18*n**7 + 0 + 1/9*n**4. Factor u(l).
-l*(l + 3)*(7*l - 2)**3/9
Let g(a) be the second derivative of a**7/2100 - a**6/300 + a**5/150 + 23*a**3/6 + a. Let k(u) be the second derivative of g(u). Suppose k(d) = 0. Calculate d.
0, 1, 2
Factor 1/3*v**3 + 13/3*v + 8/3*v**2 + 2.
(v + 1)**2*(v + 6)/3
Let y = -1/289 - -301/3468. Let c(o) be the second derivative of y*o**4 + 0 - 1/6*o**3 + 0*o**2 - 3*o. Factor c(j).
j*(j - 1)
Suppose 5*a - 5*i = 4*a + 22, -3*a = -5*i - 26. Determine u so that -6*u + 3*u**4 + 698 - 698 - 9*u**a = 0.
-1, 0, 2
Let n(b) = -18*b + 2. Let z be n(-1). Suppose z = -5*j + 4*d, 0*j - 5 = -j - d. Factor 0*x + j + 2/9*x**2.
2*x**2/9
Find l such that 152/7*l + 24/7 + 18/7*l**5 - 114/7*l**4 + 250/7*l**2 - 10/7*l**3 = 0.
-1, -1/3, 2, 6
Let j(m) be the second derivative of -m**5/60 - 5*m**4/18 - 13*m**3/18 + 4*m**2 - 61*m - 1. Factor j(n).
-(n - 1)*(n + 3)*(n + 8)/3
Suppose -36889*t + 22 = -36878*t. Solve -t*z - 2/3*z**2 - 4/3 = 0.
-2, -1
Let o(p) be the third derivative of 2*p**2 + 0*p + 0 - 2/165*p**5 + 1/33*p**4 + 1/660*p**6 + 0*p**3. Suppose o(y) = 0. What is y?
0, 2
Factor 0 + 4/5*f**2 + 1/5*f**4 + 0*f - 4/5*f**3.
f**2*(f - 2)**2/5
Let c = -12 - -12. Suppose 0*p - p + k + 7 = c, -k + 11 = 2*p. Factor -p*o**2 - 2*o + o**2 + 12*o.
-5*o*(o - 2)
Let j(y) = -2*y**2 - 2*y + 5. Let o(h) = h**2 + h - 1. Suppose 0 = 6*k - 7*k + 1. Let g(p) = k*j(p) + 5*o(p). Factor g(a).
3*a*(a + 1)
Suppose 0 = -p - w + 3*w + 6, 4*w = 5*p. Let t be 1/p + (-68)/(-16). Find u such that -8*u**2 + 4*u**2 - 3*u**3 + u**2 + 3*u - u**4 - t*u = 0.
-1, 0
Let r(f) = -2*f**4 - f**3 + 24*f**2 + 28*f + 10. Let x(m) = -m**4 - m**3 + 12*m**2 + 14*m + 5. Let w(s) = 6*r(s) - 10*x(s). Let w(t) = 0. What is t?
-1, 5
Suppose -5 + 10*f**2 - 6*f + 17 - 8 - 8 = 0. Calculate f.
-2/5, 1
Let a(t) = t + 7. Let j = -6 - -1. Let c be a(j). Let 2*q - c*q**5 + 3*q**4 - 4*q**2 - 3*q**4 + 4*q**4 = 0. What is q?
-1, 0, 1
Suppose j - 43 = 5*j - n, 14 = -2*j + 2*n. Let a be (8/j)/((-6)/4). Suppose -a - 2/3*r**3 + 2/3*r + 4/9*r**2 = 0. What is r?
-1, 2/3, 1
Find b such that -100/7*b - 48/7*b**4 - 240/7*b**2 - 4/7*b**5 - 184/7*b**3 + 0 = 0.
-5, -1, 0
Solve 0 - 2/9*u + 4/9*u**2 - 2/9*u**3 = 0 for u.
0, 1
Let u(t) = 5*t**4 - 166*t**3 + 2187*t**2 - 2. Let q(c) = 11*c**4 - 334*c**3 + 4374*c**2 - 5. Let h(o) = 2*q(o) - 5*u(o). Determine w so that h(w) = 0.
0, 27
Let c(t) be the first derivative of 2/9*t**3 - 4*t + 5/24*t**4 + 1/30*t**5 - 2 - 1/4*t**2. Let q(d) be the first derivative of c(d). Factor q(o).
(o + 1)*(o + 3)*(4*o - 1)/6
Let o(f) be the first derivative of -f**4/8 + f**3/6 + f**2 - 2*f + 29. Determine z, given that o(z) = 0.
-2, 1, 2
Suppose 0 = 43*r - 45*r + 6. Let j(n) = n + 7. Let v be j(-5). Solve 5*i**2 + 3*i + 3*i - v*i**2 + r = 0 for i.
-1
Factor 23/3 - 1/2*d**2 - 67/6*d.
-(d + 23)*(3*d - 2)/6
Let u(v) = 13*v**3 - 444*v**2 + 403*v. Let k(l) = 9*l**3 - 298*l**2 + 269*l. Let r(w) = -7*k(w) + 5*u(w). Factor r(x).
2*x*(x - 66)*(x - 1)
Let x(v) = v**2 + v + 1. Let p(q) = 5*q**2 + 5*q + 6. Let a(g) = p(g) - 4*x(g). Let o be a(0). Determine u, given that 27*u**2 + 0 - 28*u**o + 1 = 0.
-1, 1
Let t(w) be the third derivative of w**7/1260 - w**6/144 + 15*w**2. Factor t(f).
f**3*(f - 5)/6
Let w(v) be the second derivative of v**8/84 + 4*v**7/105 - 2*v**5/15 - v**4/6 - 27*v**2/2 + 24*v. Let k(s) be the first derivative of w(s). Solve k(d) = 0.
-1, 0, 1
Factor 18/11*k - 6/11*k**2 + 0.
-6*k*(k - 3)/11
Let u(g) = 22*g - 812. Let s be u(37). Let -2/5*y**s - 72/5 - 24/5*y = 0. What is y?
-6
Let d = -8 + 14. Let q(n) = -n**5 - 11*n**4 - 10*n**3 - 6*n - 6. Let f(a) = -2*a**5 - 23*a**4 - 21*a**3 - 13*a - 13. Let x(o) = d*f(o) - 13*q(o). Factor x(t).
t**3*(t + 1)*(t + 4)
Let k = 24554 - 196423/8. Suppose k - 1/8*z**3 - 3/8*z - 5/8*z**2 = 0. Calculate z.
-3, 1
Let k(j) be the second derivative of j**6/75 - j**5/50 - j**4/10 + j**3/15 + 2*j**2/5 - j + 5. What is c in k(c) = 0?
-1, 1, 2
Let f(p) = -6*p**2 - 8*p. Let k(c) = 7*c**2 +