rmine z, given that -115*z + 81*z**2 + 10 - 78*z**3 + 254*z**2 - 72*z**3 + 10*z**3 = 0.
1/7, 1/4, 2
Determine j, given that 5/4*j**2 - 85/2 - 75/4*j = 0.
-2, 17
Let m be 4/(-14) + 16/7. Let r be 10/220 + 23/(-506). Factor 9/7*q**4 + 3/7*q**m + r*q + 3/7*q**5 + 0 + 9/7*q**3.
3*q**2*(q + 1)**3/7
Let z(y) be the third derivative of -y**5/20 - 11*y**4/8 + 13*y**3 + 2*y**2 - 4*y. Factor z(n).
-3*(n - 2)*(n + 13)
Let u(b) = 11*b**4 - b**3 - 12*b - 4. Let j(n) = -13*n**4 + 2*n**3 - 3*n**2 + 12*n + 5. Let g(h) = 4*j(h) + 5*u(h). Factor g(c).
3*c*(c - 2)*(c + 1)*(c + 2)
Let q(m) be the second derivative of 1/3*m**2 - 1/60*m**5 - 1/18*m**4 + 0 + 11*m + 1/18*m**3. Let q(n) = 0. Calculate n.
-2, -1, 1
Let k(i) = 2*i**4 + 3*i**3 - 11*i**2 - 12*i + 9. Let h(y) = y**4 + 2*y**3 - 5*y**2 - 6*y + 4. Let b(s) = 9*h(s) - 4*k(s). Find r, given that b(r) = 0.
-6, -1, 0, 1
Let g(y) be the third derivative of 0 - 4/9*y**4 - 1/90*y**6 + 1/9*y**5 + 0*y + 8/9*y**3 - 14*y**2. Factor g(a).
-4*(a - 2)**2*(a - 1)/3
Let l = -12 - 10. Let o = -62/3 - l. Factor -o - 1/3*r**2 + 4/3*r.
-(r - 2)**2/3
Determine p, given that -78453 + 2*p**5 - 142*p**4 + 191*p**3 + 142042 - 42768*p**2 + 3553*p**3 + 146363 + 163296*p = 0.
-1, 18
Suppose -5*u - 4*y = 2, -275 = 3*u - 2*y - 287. What is l in 8/9*l**u + 2/9*l**3 + 2/3*l + 0 = 0?
-3, -1, 0
Let h(u) = -12*u**3 - 28*u**2 - 52*u - 8. Let s(z) = 14*z**3 + 27*z**2 + 50*z + 10. Let i(v) = -5*h(v) - 4*s(v). Factor i(w).
4*w*(w + 3)*(w + 5)
Let d(t) be the third derivative of t**6/30 + 11*t**5/15 + 5*t**4/3 - 214*t**2. Factor d(n).
4*n*(n + 1)*(n + 10)
Let w(a) be the first derivative of -2*a**6/45 + a**5/15 - 16*a - 22. Let u(n) be the first derivative of w(n). Solve u(j) = 0 for j.
0, 1
Let c(a) = a**2. Let d = 15 - 11. Let b(w) = -3*w + 14*w**2 + 0*w + d*w - 4*w**3 + 6*w**3. Let n(x) = 4*b(x) - 44*c(x). Let n(r) = 0. What is r?
-1, -1/2, 0
Determine b so that -232/3*b - 2/3*b**2 - 6728/3 = 0.
-58
Determine z so that 10*z**4 + 80*z - 543*z**5 - 65*z**2 + 160 + 548*z**5 - 40*z**3 - 15*z**2 = 0.
-2, 2
Let n = -263/3 - -3947/45. Let m(w) be the first derivative of 0*w + 1/9*w**2 + 1/6*w**4 - 2 - 2/9*w**3 - n*w**5. Factor m(g).
-2*g*(g - 1)**3/9
Let o(a) = 8*a**2 + 29*a. Let i(l) = -5*l**2 - 10*l. Let p(s) = s**2. Let x(j) = -i(j) - 2*p(j). Let h(r) = 4*o(r) - 11*x(r). Factor h(n).
-n*(n - 6)
Suppose -3*q + 35 = 5*m, q + 15 = 13*m - 8*m. Let -2/9*k - 4/9*k**4 + 0*k**3 + 0 + 4/9*k**2 + 2/9*k**q = 0. What is k?
-1, 0, 1
Suppose 0 = 5*i, -45*x + 42*x - i = -15. Let u(f) be the third derivative of 0 - 1/150*f**x + 1/90*f**4 - 3*f**2 + 0*f**3 + 0*f. Suppose u(m) = 0. What is m?
0, 2/3
Solve 0*l + 0*l**2 + 4/5*l**3 - 36/5*l**4 + 0 - 19/5*l**5 = 0 for l.
-2, 0, 2/19
Let p(b) = b**2 + 29*b - 296. Let t be p(-37). Let n = 25/39 + -4/13. Factor -n*q**2 + t + 1/3*q.
-q*(q - 1)/3
Suppose 3*o = 5 + 55. Let n = o - 9. Find t such that 18*t**2 + 22*t**4 + n + 30*t**3 + 6*t**5 + 4*t - 11 = 0.
-1, -2/3, 0
Factor 0*b**3 + 15/2*b**4 + 0*b - 1/2*b**5 + 0*b**2 + 0.
-b**4*(b - 15)/2
Suppose -24 = -0*j - 2*j - 5*w, j - 5*w + 3 = 0. Determine h so that -8 + 6*h**3 - j*h - 5*h - 2*h**3 = 0.
-1, 2
Suppose 34*i = 46*i - 36. Solve -1/5*b**5 - 2/5*b**2 - b**i - 4/5*b**4 + 0*b + 0 = 0 for b.
-2, -1, 0
Let y = -943 + 945. Let s(w) be the first derivative of 0*w - 4/3*w**3 + 6*w**y + 5. Find m, given that s(m) = 0.
0, 3
Let j(z) be the second derivative of 1/18*z**4 + 12*z + 1/180*z**5 - 3/2*z**3 - 1/540*z**6 + 0 + 0*z**2. Let v(a) be the second derivative of j(a). Factor v(y).
-2*(y - 2)*(y + 1)/3
Suppose 0 = -4*p - 944 - 428. Let g = 695/2 + p. What is a in 15/2*a - 3 - 3/2*a**3 - g*a**2 + 3/2*a**4 = 0?
-2, 1
Let x(a) be the third derivative of a**5/150 - 109*a**4/30 + 11881*a**3/15 + 106*a**2 - 3*a. Factor x(o).
2*(o - 109)**2/5
What is h in 4/5*h**3 + 0*h**2 + 0 + 0*h + 8/5*h**5 - 18/5*h**4 = 0?
0, 1/4, 2
Find s, given that -2757*s**4 + 2752*s**4 - 70 - 43*s**3 + 95*s + 15*s**2 + 8*s**3 = 0.
-7, -2, 1
Factor 0 + 0*d - d**3 + 4/3*d**2 + 1/6*d**4.
d**2*(d - 4)*(d - 2)/6
Let q(t) be the third derivative of 1/60*t**5 + 0*t**4 + 0*t + 0*t**3 + 0 - 12*t**2. Suppose q(f) = 0. Calculate f.
0
Let v(g) = g**2. Let a(n) = -43*n**2 + 2 - 2 + 44*n**2. Let k(x) = 4*a(x) + v(x). Let k(f) = 0. What is f?
0
Let y be 15/25*(-20)/(-16). Let o(q) be the first derivative of 2 + 0*q - q**3 - y*q**2 + 9/8*q**4. Determine s so that o(s) = 0.
-1/3, 0, 1
Let q(m) = -m - 1. Let v be q(-5). Suppose 14*r = 61 + 107. Factor r*b**3 - 27/5 - 18*b - 12/5*b**v - 39/5*b**2.
-3*(b - 3)**2*(2*b + 1)**2/5
Factor 42*u - 169*u - 126*u**2 + 54898*u**3 - 54897*u**3.
u*(u - 127)*(u + 1)
Find v, given that 0 - 4*v + 1/3*v**2 = 0.
0, 12
Suppose -147 - 12*g**2 + 132*g + 3*g**4 + g**3 - 35 - 10*g**3 + 38 - 6*g**3 = 0. What is g?
-3, 2, 4
Let j = 71 - 81. Let x be ((-12)/j)/((-36)/(-120)). Find v such that 0*v + 0*v**3 - 3/5*v**x + 0 + 3/5*v**2 = 0.
-1, 0, 1
Let o be 2/5 + -6*65/(-150). Let f(h) be the first derivative of 1/27*h**6 - 4/27*h**o - 1/3*h**2 + 3 + 1/9*h**4 + 2/15*h**5 - 2/9*h. Let f(m) = 0. Calculate m.
-1, 1
Let d be (7/(-98))/(2/(9/((-18)/8))). Suppose -1 = 3*v + 5, -3*z - 10 = 5*v. Factor z - 1/7*w**2 - d*w.
-w*(w + 1)/7
Let b(r) be the second derivative of r**9/4158 - r**8/2310 - r**7/660 - r**6/990 + r**3/2 - r. Let f(n) be the second derivative of b(n). Factor f(l).
2*l**2*(l - 2)*(2*l + 1)**2/11
Determine m so that -8/15 - 4*m**3 - 86/15*m**2 - 14/15*m**4 - 16/5*m = 0.
-2, -1, -2/7
Suppose -5*k + 4*k + 2 = 0. Suppose 12*h = 10 + 122. Factor 3*c**5 - k*c**4 + h*c**3 + 0*c**3 - 12*c - 12*c**2 - 2*c**3 + 14*c**4.
3*c*(c - 1)*(c + 1)*(c + 2)**2
Let r(v) = 3*v + 21. Let f(b) = -2*b - 21. Let p(x) = -6*f(x) - 5*r(x). Let u be p(7). Factor u + 0*m - 1/4*m**2.
-m**2/4
Factor -2696849 - 3*i**2 + 5203224 + 205335*i + 4001353 + 1500337 + 5*i**3 + 1758*i**2.
5*(i + 117)**3
Suppose -4*m = -0*t - 3*t + 12, -5*m = -3*t + 15. Let s(n) be the second derivative of -1/6*n**4 - 7*n + 0 - 1/3*n**3 + t*n**2. Factor s(h).
-2*h*(h + 1)
Let g(f) be the first derivative of -4*f**5/5 - 136*f**4 - 17944*f**3/3 + 18768*f**2 - 19044*f + 61. What is z in g(z) = 0?
-69, 1
Let t(m) = 17*m**5 + 39*m**4 + 54*m**3 + 32*m**2 + 9*m - 9. Let h(f) = 4*f**5 + 10*f**4 + 14*f**3 + 8*f**2 + 2*f - 2. Let p(j) = 9*h(j) - 2*t(j). Factor p(w).
2*w**2*(w + 1)**2*(w + 4)
Suppose 22*l - 19*l - 9 = 0. Factor 2 - 3 + 3*s**l - 6*s**2 + 1.
3*s**2*(s - 2)
Suppose 0 = 5*k - 10, -2*k - 3*k = 2*p - 16. Factor r + 3*r + r - 4*r + 2*r**2 + r**p.
r*(r + 1)**2
Factor 6265*g**3 - 54 + 3*g**4 - 33*g**2 - 3122*g**3 - 99*g - 3128*g**3.
3*(g - 3)*(g + 1)**2*(g + 6)
Let g(b) = -3*b**2 - 240 + 0*b + 138*b - 12*b**2 - 29*b. Let d(a) = -3*a**2 + 22*a - 48. Let p(n) = 11*d(n) - 2*g(n). Solve p(r) = 0 for r.
4
Let p = -54 - -59. Suppose 1 - p = -x. Solve 0 + 0*w**2 + 0*w - 2/3*w**5 - 8/3*w**x - 8/3*w**3 = 0 for w.
-2, 0
Let x(g) be the third derivative of g**8/1680 - g**7/840 - g**6/180 + 5*g**3/6 + 2*g**2. Let i(r) be the first derivative of x(r). Solve i(s) = 0 for s.
-1, 0, 2
Let j(a) be the first derivative of -a**5/90 + a**4/27 - a**3/27 - 6*a + 10. Let k(o) be the first derivative of j(o). Factor k(g).
-2*g*(g - 1)**2/9
Let r(t) be the second derivative of -t**5/18 - 7*t**4/18 + t**3/3 - 7*t**2 + 2*t. Let u(m) be the first derivative of r(m). Suppose u(f) = 0. What is f?
-3, 1/5
Factor 0*g + 3/7*g**2 - 1/7*g**3 + 0 - 3/7*g**4 + 1/7*g**5.
g**2*(g - 3)*(g - 1)*(g + 1)/7
Let d = 17164 - 17164. Factor d + 25/4*o - 5/4*o**2.
-5*o*(o - 5)/4
Let o(y) be the third derivative of y**6/420 + y**5/21 + 11*y**4/28 + 12*y**3/7 + 24*y**2 - 3. Factor o(d).
2*(d + 3)**2*(d + 4)/7
Let u(g) be the second derivative of 0*g**3 - 2/5*g**5 + 1/15*g**6 + 0*g**2 + 10*g + 2/3*g**4 + 0. Let u(i) = 0. What is i?
0, 2
Let q(a) be the third derivative of 3*a**5/80 - 25*a**4/32 - 9*a**3/4 - 6*a**2. What is w in q(w) = 0?
-2/3, 9
Let m(d) = 6*d**3 + 1885*d**2 + 194649*d + 6749184. Let k(y) = -y**3 - 314*y**2 - 32442*y - 1124864. Let a(z) = 39*k(z) + 6*m(z). Factor a(t).
-3*(t + 104)**3
Let q(n) be the third derivative of 3*n**8/448 - n**7/280 - n**6/80 - 24*n**2 - 1. What is j in q(j) = 0?
-2/3, 0, 1
Let j be (2/(-4))/((-8)/32). Suppose 0 = 4*y + j*a - 6 + 4, -6 = 2*a. Factor 4 + h**2 - 9*h + 2 