m + 0*l**2. Factor w(u).
3*u**2*(u - 1)*(u + 1)/5
Determine s so that -44/9*s**2 - 2/9*s**3 + 0 - 242/9*s = 0.
-11, 0
Suppose c - 2*u - 6 = 0, 18*c - 2*u = 20*c + 6. Let g(f) be the second derivative of -26*f + 1/5*f**5 + c*f**2 + 0*f**3 + 0 - 1/3*f**4. Let g(s) = 0. What is s?
0, 1
Factor 2/5*v**3 - 1638400 + 30720*v - 192*v**2.
2*(v - 160)**3/5
Suppose 33/5*j**2 + 167/5*j + 27 + 1/5*j**3 = 0. Calculate j.
-27, -5, -1
Let p(h) = 2*h + 19. Let u be p(-8). Suppose -2*c + 4*y + 1 = c, -2*c - u*y + 12 = 0. Determine o, given that 8 + o**c + o**3 - 1 - 3 - 6*o = 0.
-2, 1
Let y(b) = -203*b + 24. Let x be y(-3). Let k = x + -5055/8. Factor 3/8*v**3 + k*v**2 - 3/8*v - 9/8.
3*(v - 1)*(v + 1)*(v + 3)/8
Let v(o) be the first derivative of o**5/170 - o**4/51 + 9*o - 16. Let r(g) be the first derivative of v(g). Factor r(j).
2*j**2*(j - 2)/17
Let c = -252 - -274. Let -26*h**3 - 53*h**3 - 36 + 285*h**4 - 75*h**5 - 47*h**3 - c*h**3 - 249*h**2 + 192*h + 31*h**3 = 0. What is h?
-1, 2/5, 1, 3
Let d(q) be the second derivative of q**9/30240 - q**8/4480 - q**7/560 + 3*q**6/160 - 8*q**4 - 21*q. Let w(r) be the third derivative of d(r). Factor w(p).
p*(p - 3)**2*(p + 3)/2
Find z, given that 0 + 0*z**2 + 28/5*z**3 + 0*z + 2*z**4 - 2/5*z**5 = 0.
-2, 0, 7
Let a be 6 + (-11 - 1104) + -6. Let t = -1115 - a. Suppose -5/2*j**3 + t - 2*j - 8*j**2 + 7/2*j**4 = 0. What is j?
-1, -2/7, 0, 2
Let s(r) = -r**3 + 42*r**2 + 6*r - 117. Let v be s(42). Let f be ((-15)/(-10))/(v/1764). Suppose f + 2/5*b**2 - 28/5*b = 0. What is b?
7
Let m(x) be the second derivative of -x**7/126 + x**6/90 + x**5/12 - 5*x**4/36 - 2*x**3/9 + 2*x**2/3 - 2*x + 81. Determine i, given that m(i) = 0.
-2, -1, 1, 2
Factor 20880250*b**3 + b**5 + 21799242003125*b + 7225*b**4 + 17385168138*b**2 + 6299980938903125 + 12786793112*b**2 + 0*b**5.
(b + 1445)**5
Suppose 0 = -4*g + 2*z + 18, 5*g - 2*z + 7*z = 15. Factor 5*x**4 + 10*x**g - 160 + 138*x**5 - 133*x**5 - 260*x**2 - 220*x - 50*x**3 - 140*x.
5*(x - 4)*(x + 1)*(x + 2)**3
Let y(h) be the first derivative of 5*h**6/6 - 158*h**5/5 + 91*h**4/4 + 62*h**3/3 - 11742. Solve y(k) = 0.
-2/5, 0, 1, 31
Let u(m) be the second derivative of m**9/20160 - m**8/8960 - m**7/1680 + 23*m**4/4 + 66*m. Let r(z) be the third derivative of u(z). Factor r(o).
3*o**2*(o - 2)*(o + 1)/4
Let z = -919 + 921. Let v be 112/21 - (9 - (6 + -2)). Factor 10/3*p + 25/3 + v*p**z.
(p + 5)**2/3
Let f(l) be the third derivative of 0*l + 5 + 392/3*l**3 + 7/3*l**4 - 2*l**2 + 1/60*l**5. Factor f(q).
(q + 28)**2
Let u = -16021 + 16024. Let k(y) be the first derivative of -11/4*y**2 + 25 + 3*y + 1/2*y**u. Find n, given that k(n) = 0.
2/3, 3
Let m(j) be the first derivative of -5*j**6/6 - 24*j**5/5 - 5*j**4 + 10*j**3 + 25*j**2/2 - 6*j + 45. Let m(r) = 0. What is r?
-3, -2, -1, 1/5, 1
Let b(o) = -o**2 + 5*o + 2. Let c(x) = 3*x**2 - 9*x - 10. Let a(z) = 4*b(z) + 2*c(z). Determine v, given that a(v) = 0.
-3, 2
Let f(u) = -u**2 - 61*u + 62. Let p(i) = i - 1. Let r(z) = -f(z) + 3*p(z). Factor r(w).
(w - 1)*(w + 65)
Let q(f) be the first derivative of -f**4/4 - f**3/3 + f**2/2 + 2*f + 68. Let z(o) = -7*o**3 + 8*o**2 - 5*o + 8. Let c(y) = 4*q(y) - z(y). Solve c(k) = 0 for k.
0, 1, 3
Let x(m) be the second derivative of -2/15*m**6 - 63*m - 3*m**4 + 0*m**2 + 6/5*m**5 + 0 + 0*m**3. Determine h, given that x(h) = 0.
0, 3
Let p(w) be the first derivative of -w**5/70 + 6*w**4/7 - 5*w**3/3 + 17*w + 194. Let k(b) be the first derivative of p(b). Factor k(s).
-2*s*(s - 35)*(s - 1)/7
Suppose 2*c - 15 = -5*g, 4*g = c - g + 15. Let a(q) be the third derivative of 0*q + 0*q**3 - 1/6*q**4 + 1/15*q**5 - 1/120*q**6 - 20*q**2 + c. Factor a(i).
-i*(i - 2)**2
Let y = -154129/549 + 17139/61. Find s, given that -4/3*s**2 + 14/9*s**3 + 0*s + 0 - y*s**4 = 0.
0, 1, 6
Suppose 10*z + 195 = 13*z. Suppose 5*a - 71 - 14 = -5*x, 4*a + z = 3*x. Factor -36*v - x*v**2 - 5*v**3 + 21*v - v**2.
-5*v*(v + 1)*(v + 3)
Determine h, given that -61 + 4*h + 16268*h**3 + 21 - 16266*h**3 - 55 + 15 + 14*h**2 = 0.
-5, -4, 2
Let q(z) be the first derivative of -7/22*z**4 + 0*z + 3/11*z**2 - 85 - 2/33*z**3 + 2/11*z**5. Factor q(t).
2*t*(t - 1)**2*(5*t + 3)/11
Let w = 23225 - 69671/3. Let i(b) be the second derivative of -2/21*b**7 + 0*b**2 - w*b**4 + 4*b - 8/3*b**3 + 3/5*b**5 + 4/15*b**6 + 0. Factor i(y).
-4*y*(y - 2)**2*(y + 1)**2
Let w(q) be the first derivative of q**3 + 87*q**2 + 336*q + 2324. Solve w(o) = 0 for o.
-56, -2
Let y(k) be the second derivative of k**4/4 - 71*k**3/2 + 105*k**2 + 61*k - 25. Determine a so that y(a) = 0.
1, 70
Suppose -5*y + 5*w - 353 = -18, -y = -4*w + 52. Let f be ((-16)/(-60))/((-96)/y). Factor -7/5*m**2 + f*m**3 + 16/5*m - 12/5.
(m - 3)*(m - 2)**2/5
Let q(d) be the third derivative of -d**8/112 + d**7/14 - 3*d**6/20 - d**5/5 + d**4 - 179*d**2 + 2*d + 2. Find m, given that q(m) = 0.
-1, 0, 2
Let z be 3 + -5 + 3900/(-880). Let d = -25/4 - z. Find v, given that 0*v + 4/11*v**3 + 0 + 2/11*v**2 + d*v**4 = 0.
-1, 0
Let q(l) be the second derivative of -l**4/90 - 7*l**3/9 - 286*l**2/15 - 2799*l. Factor q(u).
-2*(u + 13)*(u + 22)/15
Let g(y) be the first derivative of -1/12*y**4 - 14/9*y**3 - 16/3*y**2 + 65 + 128/3*y. Factor g(i).
-(i - 2)*(i + 8)**2/3
Let l(m) be the third derivative of m**7/140 + m**6/20 - 9*m**5/20 + 5*m**4/4 - 7*m**3/4 + 598*m**2 - 1. Factor l(u).
3*(u - 1)**3*(u + 7)/2
Factor -5*u**4 - 116/5*u**2 + 1/5*u**5 + 0*u - 112/5*u**3 + 0.
u**2*(u - 29)*(u + 2)**2/5
Let n(v) be the first derivative of 5*v**6/6 + 26*v**5 + 165*v**4 - 6050*v**3/3 - 46585*v**2/2 - 1479. Find o, given that n(o) = 0.
-11, 0, 7
Let u(h) be the second derivative of -97*h**6/15 - 57*h**5/2 + 3*h**4 + 388*h**3/3 - 24*h**2 + 7115*h. Let u(z) = 0. Calculate z.
-2, 6/97, 1
Let x = 4638 + -4635. Let n(u) be the first derivative of 1/2*u**2 + 1/6*u**x - 5 + 0*u. Factor n(y).
y*(y + 2)/2
Suppose 5350 + 6394 = 3915*p - 2437 - 1479. Solve 11/6*q**2 + 7/6*q**3 + 5/6*q + 1/6*q**p + 0 = 0 for q.
-5, -1, 0
Let f be (-113)/(-21) + (-4)/238*-17. Let r(c) be the first derivative of -f*c**2 + 8/15*c**5 - 4*c + 1/2*c**4 - 8/3*c**3 + 1. Let r(g) = 0. What is g?
-1, -3/4, 2
Let o(g) = g**2 - 43*g + 146. Let i(j) = -10*j**2 + 390*j - 1315. Let f(k) = -4*i(k) - 35*o(k). Factor f(l).
5*(l - 6)*(l - 5)
Let k(o) = -o**3 + 9*o**2 + 4*o - 38. Let y be k(9). Let m be 1/(y/(-13)) + -4. Factor 25/4 + m*f + 1/4*f**2.
(f + 5)**2/4
Suppose -9136*x**3 + 4*x**4 + 4861*x**3 + 6664*x - 9604 + 2688*x**2 + 4523*x**3 = 0. What is x?
-49, -7, 1
Let p(f) be the first derivative of 15125*f**4/4 + 21725*f**3/3 + 3660*f**2 + 720*f - 1338. Suppose p(m) = 0. Calculate m.
-1, -12/55
Let l be 8 + 7 - (-4 - (-2 + -1)). Let i be (l/20*-1)/(10/(-75)). Factor m**3 + 5*m**3 + 36*m**2 - i*m**2 - 3*m**3.
3*m**2*(m + 10)
Suppose -l**4 + 280*l**2 - 428*l**2 + 196*l**3 + 69*l**4 + 80 - 10*l - 20*l**5 - 166*l = 0. What is l?
-2, -1, 2/5, 1, 5
Factor -214*w - 67 + 275 + 216 + w**2.
(w - 212)*(w - 2)
Let h(v) = -3140*v + 125605. Let x be h(40). Find i such that 2/23*i**x + 8/23*i - 10/23*i**3 + 16/23 - 20/23*i**2 + 4/23*i**4 = 0.
-2, -1, 1, 2
Factor -h**2 - 625 - 30*h - 1906 + 399 + 3*h**2.
2*(h - 41)*(h + 26)
Let w be 8/24*30 + -7. Factor 215*b**2 + 5*b**4 - 32007 + 300*b - 39*b**3 + 99*b**w + 32147.
5*(b + 1)*(b + 2)**2*(b + 7)
Let l(k) be the second derivative of -k**6/24 - 3*k**5/2 - 135*k**4/8 + 49*k**2/2 + k + 1. Let w(u) be the first derivative of l(u). Factor w(f).
-5*f*(f + 9)**2
Let d = 3 + 12. Let w = -18 + 22. Factor w*r**3 + 2 - 2*r**4 + 10*r - d*r + r.
-2*(r - 1)**3*(r + 1)
Let p(n) be the second derivative of 22/15*n**2 + 1/5*n**3 - 2/15*n**4 + 1/150*n**5 + 0 - 42*n. Determine f, given that p(f) = 0.
-1, 2, 11
Let m(q) be the first derivative of -3*q**4/4 - 3*q**3 + 24*q**2 - 36*q + 263. Factor m(y).
-3*(y - 2)*(y - 1)*(y + 6)
Factor -3/7*m**2 + 0 + 141/7*m.
-3*m*(m - 47)/7
Let r(o) be the third derivative of -o**5/120 + 19*o**4/8 - 1083*o**3/4 - 4*o**2 - 179. Factor r(x).
-(x - 57)**2/2
Let m(g) = 5*g + 8. Let j be m(-2). Let s(i) = -i**3 + i**2 + i + 1. Let h(c) = c**4 - 10*c**3 + 34*c**2 - 2*c - 2. Let y(b) = j*s(b) - h(b). Factor y(w).
-w**2*(w - 6)**2
Suppose 0 = 5*y + 36 - 31. Let k(w) = w**2 - w + 1. Let f(o) be the second derivative of 25*o**3/6 + 15*o**2/2 - 2*o. Let a(h) = y*f(