*b**2 + 13*b + 14. Let s be y(4). Factor 625 + 70*p**3 + 30*p**4 - 958*p**2 + 250*p - 35*p**4 + 658*p**s.
-5*(p - 5)**3*(p + 1)
Let h(l) = -l**3 + 30*l**2 + 61*l + 98. Let n be h(32). Determine u so that -u**4 + 3*u**4 + 7*u**n + 14*u**3 + 4*u**2 + 13*u**2 = 0.
-4, -3, 0
Factor -11 + 153/7*v - 1/7*v**3 - 75/7*v**2.
-(v - 1)**2*(v + 77)/7
Factor -125*t - 56*t + 183*t - 2*t**3 - 6 + 6*t**2.
-2*(t - 3)*(t - 1)*(t + 1)
Let s(y) = y**4 - 25*y**3 + 2*y**2 + 56*y - 1. Let l(d) = 2*d**3 - d**2 - 3*d - 1. Let u(h) = 44*l(h) + 4*s(h). Factor u(f).
4*(f - 4)*(f - 1)**2*(f + 3)
Suppose 56/9*z**3 - 1210/9 + 1672/9*z - 2/9*z**4 - 172/3*z**2 = 0. What is z?
1, 5, 11
Factor -1056/5*k + 3/5*k**3 + 214/5*k**2 + 608/5.
(k - 4)*(k + 76)*(3*k - 2)/5
Let b(y) = -6*y - 52 + 13*y**3 + 60 + 2*y**4 - 10*y**3 + 2*y**2. Let m(a) = -a**4 - 3*a**3 - 2*a**2 + 8*a - 8. Let u(n) = 2*b(n) + 3*m(n). Factor u(f).
(f - 2)**2*(f - 1)*(f + 2)
Let c(r) be the first derivative of -r**6/8 - 27*r**5/10 - 99*r**4/16 - 4*r**3 + 77. Factor c(h).
-3*h**2*(h + 1)**2*(h + 16)/4
Let z = -61583 - -61587. Factor 0 + 80/7*w**z + 20/7*w**2 + 66/7*w**3 + 2/7*w + 32/7*w**5.
2*w*(w + 1)**2*(4*w + 1)**2/7
What is a in 38 - 1/2*a**3 + 20*a - 37/2*a**2 = 0?
-38, -1, 2
Suppose -5*d - 2309 = -3*s, 1531 = s + s + 5*d. Factor s - 52*j**2 + 17*j + 79*j + 55*j**2.
3*(j + 16)**2
Factor 1/3*m**3 + 8/3 - 4/3*m - 2/3*m**2.
(m - 2)**2*(m + 2)/3
Let a = 376 + -509. Let o be 1*-2 - 285/a. Determine f, given that 1/7 - o*f**2 - 1/7*f + 1/7*f**3 = 0.
-1, 1
Let m(h) be the first derivative of h**6/10 - 7*h**5/15 - h**4 - 199*h**2/2 - 131. Let n(v) be the second derivative of m(v). Suppose n(y) = 0. What is y?
-2/3, 0, 3
Let t(g) be the first derivative of 2*g**5/13 + 1123*g**4/26 - 300*g**3/13 - 2345. Factor t(d).
2*d**2*(d + 225)*(5*d - 2)/13
Let c be -5*(860/(-420) + 12/7). Let i(l) be the first derivative of -35/2*l**2 - c*l**3 - 30*l - 25. Factor i(a).
-5*(a + 1)*(a + 6)
Let y be (34/(-51))/(468/(-1539)*-13 - 7 - -3). What is h in 0 + y*h + 3/4*h**2 = 0?
-19, 0
Let h = -53261 - -53265. Factor -2/3*a**h - 1/6*a**5 + 16/3*a**2 + 0 - 32/3*a + 2*a**3.
-a*(a - 2)**2*(a + 4)**2/6
Let z be (-4)/(10*6) - (-102)/153. Let j(g) be the second derivative of 0*g**2 - 8/3*g**3 + 0 - 1/15*g**6 - 8*g - 2*g**4 - z*g**5. Factor j(v).
-2*v*(v + 2)**3
Let j(f) = -116*f**2 + 39353*f - 24167081. Let g(h) = -14*h**2 + 4919*h - 3020885. Let o(d) = -50*g(d) + 6*j(d). Factor o(w).
4*(w - 1229)**2
Suppose 2*k + 52 - 58 = 5*h, 5*h + 30 = 5*k. Factor -5/2*d**h + 0 - 4*d**3 + 25*d - 1/2*d**4.
-d*(d - 2)*(d + 5)**2/2
Let v(s) be the second derivative of 4*s**4 + 0*s**3 - 54/5*s**5 - 2/7*s**7 - 87*s + 0 + 33/10*s**6 + 0*s**2. Let v(p) = 0. Calculate p.
0, 1/4, 4
Let k(n) = n**3 - n**2 + 2*n + 1. Let o = -45 + 47. Let x(y) = -18*y**4 - 103*y**3 - 195*y**2 - 18*y + 9. Let t(r) = o*x(r) - 18*k(r). Factor t(q).
-4*q*(q + 3)**2*(9*q + 2)
Let n(w) be the second derivative of -7*w**5/10 - 19*w**4/6 + 2*w**3 - 2*w + 1041. Let n(x) = 0. What is x?
-3, 0, 2/7
Let g(c) be the first derivative of -10/33*c**3 + 114 + 9/11*c**2 - 8/11*c. Factor g(o).
-2*(o - 1)*(5*o - 4)/11
Let d(v) be the first derivative of -3*v**4/4 + 28*v**3 + 585*v**2/2 + 918*v + 2266. Factor d(m).
-3*(m - 34)*(m + 3)**2
Let q(c) be the third derivative of 17*c**6/600 - 8*c**5/75 - c**4/30 + 1089*c**2 + c. Find x, given that q(x) = 0.
-2/17, 0, 2
What is h in 8*h**5 - 7*h**5 - 271*h**4 + 736*h - 240 - 85*h**4 + 596*h**2 - 21*h**5 - 8*h**5 - 708*h**3 = 0?
-10, -3, -1, 2/7, 1
Let p(o) be the second derivative of -20/3*o**3 - 96*o + 0 + 0*o**2 + 1/3*o**4. Factor p(i).
4*i*(i - 10)
Let z(t) be the first derivative of -4/15*t + 13/30*t**4 + 3/5*t**2 + 16/15*t**3 - 4. Solve z(f) = 0 for f.
-1, 2/13
Let m(f) be the second derivative of f**7/4200 + 19*f**6/3600 + f**5/100 + 23*f**4/3 - 48*f. Let p(j) be the third derivative of m(j). Factor p(u).
(u + 6)*(3*u + 1)/5
Suppose 10*u + 4*p = 9*p - 10, 0 = 4*u + p - 2. Let w(v) be the third derivative of 1/60*v**5 + 0*v**3 + 1/24*v**4 + 0 - 7*v**2 + u*v. Factor w(l).
l*(l + 1)
Determine f, given that -126 + 3/5*f**2 + 627/5*f = 0.
-210, 1
Let l be -4*(-6 + (5 - 1)). Suppose -4*t = 4*z - 28, -3*z - z = -t - l. What is y in -2*y**3 - y**z + 10*y - 4*y**3 - 5*y**2 + 2*y**3 = 0?
-2, 0, 1
Factor 599536*o + 4490158/5*o**2 + 9/5*o**4 - 2544*o**3 + 499849/5.
(o - 707)**2*(3*o + 1)**2/5
Let x(v) = -3*v - 13. Let a be x(-5). Suppose a*t = 10 - 2. Factor i**t + 16 - 2*i**4 - 16 + i**2.
-i**2*(i - 1)*(i + 1)
Suppose 5*q - 12 = -u - 15, 2*u = -q + 3. Let b(i) be the second derivative of 1/180*i**6 + 0*i**u + 3/8*i**4 + 19*i - 3/40*i**5 + 0 - 3/4*i**3. Factor b(o).
o*(o - 3)**3/6
Let b(t) be the third derivative of -t**5/24 + 35*t**4/12 - 575*t**3/12 + 44*t**2 + 29. Factor b(y).
-5*(y - 23)*(y - 5)/2
Suppose 0 = -2*c - 2*t + 16, -t - t + 6 = 0. Factor c*a + 3*a - a**2 + 2 - 1 + 8.
-(a - 9)*(a + 1)
Suppose -335*d - 353*d = -649*d. Let g(p) be the third derivative of 0*p - 1/20*p**5 + 0 + 3/4*p**4 + d*p**3 + 34*p**2. Solve g(n) = 0.
0, 6
Let g(o) be the third derivative of -o**8/168 + 5*o**7/21 + o**6/20 - 73*o**5/30 - 25*o**4/6 + 31*o**2 - 34*o. Suppose g(t) = 0. Calculate t.
-1, 0, 2, 25
Let x(g) be the second derivative of -g**4/16 + 159*g**3/8 + 615*g**2/2 - 2230*g. Determine i so that x(i) = 0.
-5, 164
Let w = -1958 + 1954. Let n be -10 + 2448/189 - w/(-14). Factor 2/9*i - n*i**3 - 10/9*i**5 + 0 - 28/9*i**4 - 4/9*i**2.
-2*i*(i + 1)**3*(5*i - 1)/9
Let s = -826/83 + 2233/166. Let d be 9/2 - (-5)/(-10). Factor -d + 1/2*p**2 + s*p.
(p - 1)*(p + 8)/2
Let i(u) be the second derivative of -u**7/672 + 5*u**6/144 + 11*u**5/96 - u**3/6 - 32*u**2 + 57*u. Let h(j) be the second derivative of i(j). Factor h(q).
-5*q*(q - 11)*(q + 1)/4
Let i = -63/83 + 87345/913. Let k = -1042/11 + i. Find r, given that k*r**2 + 72/11 - 24/11*r = 0.
6
Let h be (4 + -4)/(172 - 177). Let c(t) be the second derivative of 1/6*t**4 - 3/20*t**5 + h*t**2 - 38*t + 0 - 1/18*t**3. Solve c(m) = 0 for m.
0, 1/3
Let m(i) be the first derivative of 4*i - 7 + 4/3*i**3 + 4*i**2. Suppose m(n) = 0. Calculate n.
-1
Let l be ((17 - 15) + 3)/1. Let g(w) be the second derivative of w**3 + 9/4*w**4 + 3/5*w**l + 0 + 0*w**2 + 21*w. Solve g(y) = 0.
-2, -1/4, 0
Suppose -u - 1 = -6. Suppose -4*x - 2*b + 0*b + 6 = 0, 2*x = b + u. Factor 3*i**x - 4*i**3 + 3*i - 16*i**3 - 15*i**2 + 5*i.
-4*i*(i + 1)*(5*i - 2)
Let l(u) = -6*u**2 + 4. Suppose 0 = 9*a + 84 - 2001. Let f(t) = -t - a*t**2 - 5 - 4 + 226*t**2. Let c(w) = -4*f(w) - 9*l(w). Determine q, given that c(q) = 0.
-2, 0
Let a(i) be the third derivative of i**5/240 + 49*i**4/48 + 2401*i**3/24 + 771*i**2. Solve a(l) = 0.
-49
Determine j, given that 2*j**2 + 1/3*j**5 - 32 - 23/3*j**3 + 0*j**4 + 112/3*j = 0.
-4, -3, 1, 2, 4
Suppose 302 + 148 = 112*y + 114. Let u(v) be the second derivative of 1/3*v**4 + 6*v + 4/3*v**y + 0*v**2 + 0. Factor u(z).
4*z*(z + 2)
Let k = -10 + 15. Suppose -5*u - 5 = 3*g, -5*g - 4*u = u - k. Factor 0*j**2 + 0*j + g*j - 9*j + 2*j**2.
2*j*(j - 2)
Let g = -56 - -59. Let n be (-5)/((-200)/(-112)) - -4. Factor -n*i + 3*i**2 + 0 - 6/5*i**g.
-3*i*(i - 2)*(2*i - 1)/5
Let n(t) = -5*t**5 - 10*t**4 + 5*t. Let w(s) = 5*s**5 + 11*s**4 - 6*s. Let p = 201 - 207. Let v(l) = p*n(l) - 5*w(l). Factor v(d).
5*d**4*(d + 1)
Let a(l) = -6*l**3 - 9 + 0 + 8*l - 2*l + 4*l**2 + 1. Let j(k) = -5*k**3 + 3*k**2 + 6*k - 7. Let p(y) = 3*a(y) - 4*j(y). Let p(h) = 0. What is h?
-2, 1
Let d(t) = 2*t**2 - 4*t - 21. Let q be d(-7). Let z be (-832)/(-12) + (-1)/(9/3). Solve z*i**3 - 57*i + 33*i - 12 + 88*i**3 + q*i**2 + 68*i**3 = 0.
-2/5, 1/3
Let q(i) be the first derivative of -i**5/20 - 5*i**4/6 - 7*i**3/6 + 9*i**2 - 60*i + 178. Let a(p) be the first derivative of q(p). Solve a(b) = 0.
-9, -2, 1
Let f(i) = i**3 - 13*i**2 - 35*i - 18. Suppose 0 = -2*y + 3*n - 21, -8*y - 3*n = -12*y - 27. Let o(h) = -2*h - 1. Let q(g) = y*o(g) + f(g). Factor q(s).
(s - 15)*(s + 1)**2
Let j(s) = -13*s**2 + s**2 + 11*s**2 - s + 8. Let h be j(-3). Determine n, given that 7*n**h - 12*n**4 + 4*n**5 + 12*n**3 - 9*n**2 - 2*n**2 = 0.
0, 1
Let r be (-10)/(-8)*1168/365. Factor 7/2*f + 3 - 3/2*f**2 + 1/2*f**r - 3/2*f**3.
(f - 3)*(f - 2)*(f + 1)**2/2
Let q be (304/3990)/(132/231). Let 2/15*p**5 - q*p**4 + 0 - 16/