10. Let r be y(j). Solve 0*o**4 + 2/25*o**5 - 4/25*o**3 + 2/25*o + 0*o**r + 0 = 0.
-1, 0, 1
Factor -37*f**3 - 62*f**2 + 362*f**2 - 90 + 94*f**3 - 552*f - 1062 + 81*f**3 - 3*f**4.
-3*(f - 48)*(f - 2)*(f + 2)**2
Let g(b) be the third derivative of b**7/210 + b**6/40 - b**5/60 - b**4/8 - b**2 - 635. Factor g(r).
r*(r - 1)*(r + 1)*(r + 3)
Factor -478*h - 228484 - 1/4*h**2.
-(h + 956)**2/4
Let c(h) be the second derivative of -207*h - 1/45*h**6 + 0*h**3 + 0 - 1/27*h**4 + 0*h**2 - 7/90*h**5. Let c(n) = 0. What is n?
-2, -1/3, 0
Factor -1/5*q**2 - 1168/5*q - 341056/5.
-(q + 584)**2/5
Let d(x) be the second derivative of x**7/3 + 352*x**6/15 + 554*x**5/5 + 641*x**4/3 + 613*x**3/3 + 94*x**2 - 13050*x. Find o, given that d(o) = 0.
-47, -1, -2/7
Suppose -4*n + 34 = -k, -2*n - 46 = -20153*k + 20156*k. Let z = 2 - 2. Suppose -1/6*d + z + 1/6*d**n - 1/6*d**2 + 1/6*d**3 = 0. What is d?
-1, 0, 1
Let y(z) be the first derivative of -3*z**5/5 - 495*z**4 - 108237*z**3 + 328683*z**2 - 6315. Factor y(x).
-3*x*(x - 2)*(x + 331)**2
Let y be -3 + 2 + 2 + -32 + 28. Let f be y/9*3*1*0. Factor 4/5*o**3 + f + 8/5*o + 12/5*o**2.
4*o*(o + 1)*(o + 2)/5
Factor -23*o**2 - 46*o**2 + 48*o - 6 - 30*o**2 - 3 + 35*o**2.
-(8*o - 3)**2
Suppose 2 = 4*z - 6. Let i(t) = -3*t**2 + z*t + 2*t - 11*t + 47. Let d(u) = 2*u**2 + 3*u - 23. Let r(v) = -7*d(v) - 3*i(v). Find f, given that r(f) = 0.
-2, 2
Factor -3/7*u**2 - 843/7 + 846/7*u.
-3*(u - 281)*(u - 1)/7
Let l(n) be the third derivative of n**8/84 + 2*n**7/21 + 7*n**6/30 + n**5/5 + n**2 - 2*n - 33. What is p in l(p) = 0?
-3, -1, 0
Let h(z) be the first derivative of -7*z**3 + 2*z**2 + 204. Let u(r) = -26*r**2 + 5*r - 1. Let n(q) = -5*h(q) + 4*u(q). Factor n(d).
(d - 2)*(d + 2)
Let x(u) = 2*u**2 + 554*u - 1090. Let d(y) = -4*y**2 - 1111*y + 2173. Let m(o) = 2*d(o) + 5*x(o). Factor m(c).
2*(c - 2)*(c + 276)
Let n(t) = 3*t**3 - 463*t**2 - 154*t. Let g(w) = 3*w**3 - 464*w**2 - 154*w. Let b(m) = 2*g(m) - 3*n(m). Determine h, given that b(h) = 0.
-1/3, 0, 154
Let g(t) be the first derivative of 9*t - 58 + 3*t**2 - 11/12*t**3 + 1/16*t**4. Find v such that g(v) = 0.
-1, 6
Let c(t) be the third derivative of t**5/540 + 5*t**4/9 + 118*t**3/27 + 35*t**2 - 2*t + 4. Determine l, given that c(l) = 0.
-118, -2
Let w be 2709/(-1935)*((-12)/(-63) - (-2)/(-6)). Factor 13/10*h + 7/10*h**2 - w.
(h + 2)*(7*h - 1)/10
Let c(v) be the second derivative of v**6/150 + 41*v**5/100 + 13*v**4/10 - 4394*v**3/15 - 8788*v**2/5 + 190*v - 2. Factor c(f).
(f - 13)*(f + 2)*(f + 26)**2/5
Suppose 41*x - 28 = 13*x. Let g be 5*24/30*x. Find y such that -8/19*y + 56/19*y**2 - 50/19*y**5 + 140/19*y**g - 138/19*y**3 + 0 = 0.
0, 2/5, 1
Factor -246*k**2 + 3*k**3 + 31*k - 354*k + 74*k.
3*k*(k - 83)*(k + 1)
Find p, given that 792*p - 95*p**4 - 1005*p**2 - 1015*p**5 + 504*p**5 + 508*p**5 - 228 + 543*p**3 - 4*p**4 = 0.
-38, 1, 2
Let d(w) be the third derivative of w**6/360 + 49*w**5/30 - 295*w**4/72 + 22*w**2 - 13*w - 2. Suppose d(g) = 0. Calculate g.
-295, 0, 1
Let y = 85 + -253/3. Let x = 42/6989 - -6863/20967. Factor -y*l - x*l**2 + 1.
-(l - 1)*(l + 3)/3
Let y(n) be the third derivative of 1/390*n**5 + 0 - 61*n**2 - 1/39*n**4 + 0*n + 4/39*n**3. Factor y(q).
2*(q - 2)**2/13
Let d = 148 + -64. Let w = d + -84. Let 0 + w*u**4 + 0*u**2 + 4/5*u**5 - 8/5*u**3 + 4/5*u = 0. Calculate u.
-1, 0, 1
Let z be 34 - (-69)/(345/(-160)). Find i, given that 12/7 - 8/7*i + 1/7*i**z = 0.
2, 6
Suppose 4*p + 5 = -g, 0 = 3*g + 2*g + 5*p - 50. Let b be g/72 - (10 - (-648)/(-64)). Let 0*f**2 - 1/3*f**5 + b*f**4 + 0*f + 2/3*f**3 + 0 = 0. Calculate f.
-1, 0, 2
Suppose -28*a - 4454 + 17558 = 0. Let p be 48/(-576) - (-1 + 357/a). Factor -2/13*x**2 - p*x**3 + 2/13 + 2/13*x.
-2*(x - 1)*(x + 1)**2/13
Factor -2684*b**2 + 17959 - 709*b**3 + 149632*b + 42012 + 721*b**3 - 9795.
4*(b - 112)**2*(3*b + 1)
Suppose -2*y = -10, -f - 22 = 26*y - 31*y. Let w(b) be the first derivative of 1/15*b**f + 0*b + 3 + 0*b**2 - 1/4*b**4. Find m such that w(m) = 0.
0, 1/5
Let r(p) be the second derivative of p**7/70 - p**6/10 + p**5/4 - p**4/4 + 11*p**2/2 - 59*p - 2. Let x(i) be the first derivative of r(i). Solve x(m) = 0.
0, 1, 2
Find p such that 9*p**3 - 2 - 8/3*p**4 + 49/6*p + 1/6*p**5 - 38/3*p**2 = 0.
1, 12
Let h = 16189/3 + -5396. Let j(g) be the second derivative of -41*g + 2*g**3 + h*g**4 + 0 + 0*g**2. What is x in j(x) = 0?
-3, 0
Suppose r - 9*c - 32 = -11*c, -r = -4*c - 8. Let k be (r/(-8) - -8)*(-2)/(-95). Let -6/19*t + k*t**2 - 8/19 = 0. Calculate t.
-1, 4
Let m be (12 + -15 + 2)*(-2 + 2)/(-3). Let u(q) be the third derivative of 0*q - 3*q**2 + 1/4*q**4 + m - 5/6*q**3 - 1/60*q**5. Let u(a) = 0. What is a?
1, 5
Suppose -9*o + 30 = -12*o. Let n = 18 - o. Factor 62 - x**2 - n*x - 10 + 3*x**2 + 46.
2*(x - 7)**2
Suppose 84264*b + 9658*b**3 + 8528*b**3 - 20705*b - 1036*b**4 + 4*b**5 + 47322*b**3 + 203836*b**2 + 73729*b = 0. Calculate b.
-2, -1, 0, 131
Find c such that 4327682/3 + 2/3*c**2 - 5884/3*c = 0.
1471
Let a be (-649)/(47 - 106)*(58/(-22) - -3). Solve -32/3*p**3 + 0 + 4/3*p - 10/3*p**2 - 6*p**a = 0 for p.
-1, 0, 2/9
Let h be (-6)/(-4)*(-27)/567*-70. Let b(d) be the first derivative of 15 + 4/9*d**3 - 1/3*d**4 - 4/15*d**h + 2/3*d**2 + 0*d. Factor b(a).
-4*a*(a - 1)*(a + 1)**2/3
Let x(g) be the third derivative of 6*g**2 + 0*g + 0*g**3 + 1/40*g**6 - 1/672*g**8 + 0*g**5 + 0*g**4 - 3 + 1/420*g**7. Factor x(w).
-w**3*(w - 3)*(w + 2)/2
Let p(y) be the third derivative of -y**5/240 + 7*y**4/96 + 3*y**3/4 + 2163*y**2. Determine g so that p(g) = 0.
-2, 9
Let a be 3 + (2 + -3)/(-3 + 4). Factor -71 - 5*l**a + 0*l**2 - 26*l - 24*l - 9.
-5*(l + 2)*(l + 8)
Suppose 3*m = 27, -66 = 3*v - m - 57. Let 2/17*h**3 + 8/17*h**2 + 0*h - 8/17*h**4 - 2/17*h**5 + v = 0. Calculate h.
-4, -1, 0, 1
Let x(f) be the third derivative of -30*f**2 + 0*f**3 + 1/48*f**4 + 0 + 0*f + 1/80*f**5. Factor x(o).
o*(3*o + 2)/4
Let w(n) be the first derivative of 19*n**4/2 + 484*n**3 + 7011*n**2 + 2888*n + 13118. Factor w(l).
2*(l + 19)**2*(19*l + 4)
Let x(f) be the second derivative of 0 + 1/63*f**7 + 43/30*f**5 + 20/3*f**2 + 77/18*f**4 + 11/45*f**6 + 64/9*f**3 + 12*f. Solve x(w) = 0.
-5, -2, -1
Suppose -t + 11 = 2*u, 0 = -0*t - 4*t - 4*u + 28. Let d(a) = -a**2 + 3*a + 2. Let j be d(t). Factor -2*n**j + 1 + 0*n**2 - n**3 + 5*n + 3*n**2 + 2.
-(n - 3)*(n + 1)**2
Let q be (-13)/(-5) - (-13)/(65/2). Solve -12*a + 6 + 3 - 5*a**2 + 24*a - 15*a**q + 4*a**5 + 3*a = 0.
-1, 3/2
Let q(i) be the third derivative of 0*i**4 - 1/105*i**7 + 2/75*i**6 + 7*i + 0*i**3 + 4*i**2 + 2/75*i**5 + 0. Suppose q(w) = 0. What is w?
-2/5, 0, 2
Let p(h) be the first derivative of -37/9*h**4 - 2/27*h**6 - 256/27*h**3 - 8/9*h**5 - 275 - 64/9*h - 104/9*h**2. Determine f, given that p(f) = 0.
-4, -2, -1
Determine c so that 10*c - 1/7*c**2 - 201/7 = 0.
3, 67
Let a(u) = -u**2 - 44*u + 123. Let q be a(3). Let n be (33/q + 2)*(-636)/(-371). Suppose -32/7*r - 128/7 - n*r**2 = 0. What is r?
-8
Let j(h) be the second derivative of h**4/18 + 6670*h**3/9 + 11122225*h**2/3 - 5*h + 69. Determine g, given that j(g) = 0.
-3335
Suppose 2/7*y**4 - 104/7*y**2 + 30/7*y**3 + 72/7*y + 0 = 0. Calculate y.
-18, 0, 1, 2
Let x(p) be the first derivative of 2*p**7/21 - 32*p**6/15 + 64*p**5/5 - 66*p + 71. Let m(j) be the first derivative of x(j). Factor m(u).
4*u**3*(u - 8)**2
Let k be (-6 - 9)*(-1)/3. Let h(x) = 5*x - 1. Let c be h(k). Suppose -4*d**2 - 6*d - 64*d**4 + c*d**4 + 8*d**3 - 2*d**5 + 21*d**4 + 23*d**4 = 0. What is d?
-1, 0, 1, 3
Let d(j) be the first derivative of -3/5*j**4 + 52 + 0*j + 11/10*j**2 - 2/3*j**3 + 2/5*j**5 + 1/30*j**6. Let d(t) = 0. What is t?
-11, -1, 0, 1
Let t(h) = -h**5 + h**4 - h**3 + h**2 - 2*h - 1. Let g(c) = 12*c**5 - 11*c**4 + 7*c**2 + 14*c + 11. Let j(l) = 4*g(l) + 44*t(l). Factor j(x).
4*x*(x - 2)*(x - 1)**2*(x + 4)
Let l(v) be the third derivative of -1/112*v**8 - 5/8*v**4 + 0 - 4/5*v**5 - 4/35*v**7 - 9/20*v**6 - 2*v + 0*v**3 - 40*v**2. Determine b so that l(b) = 0.
-5, -1, 0
Factor 1/4*i**3 + 25/4 + 51/4*i + 27/4*i**2.
(i + 1)**2*(i + 25)/4
Let c(x) = -17*x**2 + 14*x + 3. Let r be c(1). Factor 12/19*y**2 - 14/19*y + 2/19*y**3 + r.
2*y*(y - 1)*(y + 7)/19
Let k = -1265/387 + 12517/1935. Let k*y**2 + 36/5 - 2/5*y**3 - 42/5*y = 0. Calculate y.
2, 3
Let o = 5384/639 + -330/71. Let j(r) be