 of -c**6/40 + 9*c**5/20 + c**4/2 - 18*c**3 + 22*c**2 - 4. Factor r(t).
-3*(t - 9)*(t - 2)*(t + 2)
Let p(k) be the third derivative of -k**6/160 + 7*k**5/20 + 161*k**4/32 + 33*k**3/2 + 3*k**2 - 999. Factor p(s).
-3*(s - 33)*(s + 1)*(s + 4)/4
Let n(t) be the third derivative of t**5/150 - 28*t**4/15 - 113*t**3/15 + 414*t**2. Let n(s) = 0. What is s?
-1, 113
Factor 16/3 + 20/3*g + 8/3*g**2 + 1/3*g**3.
(g + 2)**2*(g + 4)/3
Let t(b) be the third derivative of 5*b**8/112 + b**7/10 - 3*b**6/20 - 600*b**2 - 2. Suppose t(c) = 0. Calculate c.
-2, 0, 3/5
Factor 256440 - 126*y**2 - 392*y + 1799*y - 254910 - 3*y**3.
-3*(y - 10)*(y + 1)*(y + 51)
Let k = 3825 - 7649/2. Let b(j) be the second derivative of 3*j + 1/8*j**4 - k*j**3 - 1/80*j**5 + j**2 + 0. Factor b(m).
-(m - 2)**3/4
Solve 6202242/5 - 7044/5*a + 2/5*a**2 = 0 for a.
1761
Let g(q) be the second derivative of 3*q**5/20 - 621*q**4/4 + 128547*q**3/2 - 26609229*q**2/2 - 80*q. Find z, given that g(z) = 0.
207
Let i(w) be the first derivative of 49*w**5/90 + 154*w**4/27 + 85*w**3/27 + 2*w**2/3 + 38*w - 178. Let d(x) be the first derivative of i(x). Factor d(u).
2*(u + 6)*(7*u + 1)**2/9
Let y be (-96)/6 - -9 - -15. Let b be (171/(-114))/((-13)/y + 1). Factor -36/5*h - 27/5 + 6/5*h**2 + b*h**3 - 3/5*h**4.
-3*(h - 3)**2*(h + 1)**2/5
Let p(c) be the third derivative of -c**5/48 - 515*c**4/96 + 116*c**2 + c + 1. Factor p(a).
-5*a*(a + 103)/4
Let g(z) be the first derivative of -92 - 40*z - 15*z**2 - 5/3*z**3. Let g(f) = 0. Calculate f.
-4, -2
Let x be (-15)/50*(-52)/117*(-2)/(-84). Let z(b) be the third derivative of 0*b**3 + 0*b + 0*b**4 + 0 + 1/180*b**6 + 0*b**5 + x*b**7 - 40*b**2. Factor z(y).
2*y**3*(y + 1)/3
Let y(q) be the third derivative of q**6/40 - 3*q**5 - 61*q**4/8 - 59*q**2 - q - 32. Solve y(k) = 0 for k.
-1, 0, 61
Let c(s) = 4*s**3 - 16*s**2 - 32*s - 9. Let j(p) = 5*p**3 - 35*p**2 - 65*p - 20. Let z(m) = 5*c(m) - 3*j(m). Suppose z(o) = 0. Calculate o.
-3, -1
Let v = -138 + 135. Let a(r) = -2*r**3 + 26*r**2 - 18*r + 4. Let h(x) = x**3 - 27*x**2 + 17*x - 6. Let n(t) = v*a(t) - 2*h(t). Let n(m) = 0. Calculate m.
0, 1, 5
Let i = 9784 + -9782. Let v(f) be the third derivative of -1/240*f**5 + 0*f + 0 - 3/8*f**3 + 19*f**i - 1/16*f**4. Solve v(x) = 0.
-3
Let a(j) be the first derivative of -2*j**5/45 - j**4/18 + 14*j**3/9 + j**2/9 - 40*j/9 - 695. Determine f so that a(f) = 0.
-5, -1, 1, 4
Suppose -72/7*d**2 - 256/7 + 2/7*d**3 + 264/7*d = 0. What is d?
2, 32
Let m(f) = -f**3 + 44*f**2 - 283*f. Let v(y) = 4*y**3 - 177*y**2 + 1131*y. Let z(g) = -22*m(g) - 6*v(g). Suppose z(j) = 0. Calculate j.
0, 7, 40
Suppose -2*o + 16*i - 1 = 17*i, -o = 3*i + 13. Let g be ((-1056)/(-385))/16 - o/(-5). Solve -g - 2/7*r**2 - 6/7*r = 0 for r.
-2, -1
Let r(j) = j**2 + 127*j + 4032. Let t be r(-62). Let u(i) be the second derivative of -23*i + 15/8*i**4 + 0 + 25/4*i**3 + 1/8*i**5 - 125/4*i**t. Factor u(y).
5*(y - 1)*(y + 5)**2/2
Let s(v) = -16*v - 1 - 8*v + 2*v - 84. Let g be s(-4). What is n in -50/3*n**4 - 110/3*n**g + 56/3*n + 4*n**2 - 16/3 = 0?
-2, -1, 2/5
Let k(o) be the first derivative of 2/5*o - 2/15*o**3 + 37 + 0*o**2. Factor k(b).
-2*(b - 1)*(b + 1)/5
Let r = -135 + 134. Let x(b) = -21*b**4 + 13*b**3 + 44*b**2 + 17*b + 2. Let k(y) = y**4 - y**3 - y**2. Let i(n) = r*x(n) - 5*k(n). Factor i(t).
(t - 2)*(t + 1)*(4*t + 1)**2
Let t(a) = 10*a**3 + 88*a**2 + 96*a + 36. Let s(i) = -10*i**3 - 86*i**2 - 97*i - 36. Let j(p) = -6*s(p) - 5*t(p). Factor j(x).
2*(x + 1)*(x + 6)*(5*x + 3)
Let s(h) be the third derivative of -h**6/300 + 2*h**5/25 - 4*h**2 - 3*h. Factor s(g).
-2*g**2*(g - 12)/5
What is h in 588*h - 3/7*h**4 + 12*h**3 - 126*h**2 - 1029 = 0?
7
Suppose -2*l + 10 = x - 11, -48 = -5*l + 2*x. Suppose -10*k + 5*k = -l. Find r such that 10*r - 2*r**3 + 25*r**2 + 22*r**3 + k*r**4 + 3*r**4 = 0.
-2, -1, 0
Determine a so that 1/2*a**2 - 81/2 - 40*a = 0.
-1, 81
Let p = -503 + 507. Determine y, given that 44*y**2 - 40 + 2*y + 9435*y**p + 10*y - 9439*y**4 - 12*y**3 = 0.
-5, -1, 1, 2
Let x(y) be the third derivative of -13*y**6/120 + 113*y**5/180 - 19*y**4/18 + 2*y**3/3 + 5*y**2 + 3*y - 15. Solve x(n) = 0.
3/13, 2/3, 2
Determine g, given that -6994 + 435*g**3 - 822*g**3 + 59266 - 11868*g**2 - 3*g**4 + 40788*g = 0.
-66, -1, 4
Let r = -16894/77 - -1406/7. Let h = 441/22 + r. Factor 1/2*j**2 + 1/2*j**4 - h*j - 1 + 3/2*j**3.
(j - 1)*(j + 1)**2*(j + 2)/2
Let b be (0/25)/(-3 + -3)*1/(-4). Determine f so that b + 1/3*f**2 + f = 0.
-3, 0
Let c(i) = -i**3 - 16*i**2 + 3*i + 52. Let v be c(-16). Solve -497*g**3 - 1 + 501*g**3 + 2*g**4 - 2*g**v + 4*g - g**4 - 6*g**2 = 0 for g.
1
Suppose 4*m - v + 4116 = 0, 0 = -15*m + 18*m + 2*v + 3087. Let y = m + 7205/7. Factor -2/7*p**2 - y + 4/7*p.
-2*(p - 1)**2/7
Let q(t) = -t**2 + 2*t. Let u = 207 + -209. Let p(l) = -l**2 + 18*l + 13. Let y(n) = u*q(n) + p(n). Suppose y(i) = 0. What is i?
-13, -1
Suppose 589*l = 245*l + 6536. Solve -47*y + l + 109/4*y**2 + 3/4*y**3 = 0.
-38, 2/3, 1
Let m(j) be the second derivative of 0 + 1/5*j**3 - 7/10*j**2 + 1/60*j**4 - 31*j. Factor m(c).
(c - 1)*(c + 7)/5
Suppose -4*f - 218 = 3*t - 261, -9*f + 78 = 3*t. Let 169/6*z**3 + 0 + 0*z - 13/3*z**4 + 0*z**2 + 1/6*z**t = 0. What is z?
0, 13
Determine n so that -5*n**2 + 1859 + 195*n + 1611 + 1281 - 351 = 0.
-16, 55
Suppose 69*k - 114 = 24. Let m(n) be the first derivative of 0*n + 0*n**k + 0*n**3 - 1/5*n**4 - 6/25*n**5 + 13 - 1/15*n**6. Factor m(h).
-2*h**3*(h + 1)*(h + 2)/5
Suppose 0 = 3*a - a + 10. Let n be a - (147/(-28) - 6). Find d such that -5/2 - n*d + 5/4*d**3 - 55/4*d**4 + 65/4*d**2 + 5*d**5 = 0.
-1, -1/4, 1, 2
Let y(k) be the second derivative of k**8/1008 - 2*k**7/315 + k**6/360 + k**5/30 + 29*k**2/2 - 41*k + 3. Let a(i) be the first derivative of y(i). Factor a(x).
x**2*(x - 3)*(x - 2)*(x + 1)/3
Let n(k) be the first derivative of k**4/36 - 19*k**3/9 + 361*k**2/6 - 21*k - 55. Let r(d) be the first derivative of n(d). What is m in r(m) = 0?
19
Let n = 177232 + -884864/5. Factor -144/5*z - 4/5*z**2 - n.
-4*(z + 18)**2/5
Let b(q) be the third derivative of -q**8/3528 - q**7/441 + 17*q**6/1260 + q**5/30 - 9151*q**2. Determine n so that b(n) = 0.
-7, -1, 0, 3
Let z = -603 + 606. Let f be (36/6 + -3)/(-2 + z). Let 4/3 + 3*m**4 + 20/3*m + 13/3*m**2 - 10*m**f = 0. Calculate m.
-1/3, 2
Let c(w) be the first derivative of 5/3*w**4 + 5*w**2 - 1/4*w**5 - 9 + 14*w - 25/6*w**3. Let t(y) be the first derivative of c(y). Factor t(o).
-5*(o - 2)*(o - 1)**2
Suppose -914*n + 703*n - 6 = -639. Factor 2/11*g - 34/11*g**2 - 2/11*g**n + 34/11.
-2*(g - 1)*(g + 1)*(g + 17)/11
Let i(o) be the second derivative of 0 + 0*o**2 - 1/6*o**4 - 75*o - 4/3*o**3. Factor i(t).
-2*t*(t + 4)
Factor 0 - 3*i + 3/2*i**4 + 3*i**3 - 3/2*i**2.
3*i*(i - 1)*(i + 1)*(i + 2)/2
Let q(m) be the first derivative of m**5/70 + 2*m**4/7 + m**3 + 10*m**2/7 + 19*m + 31. Let o(t) be the first derivative of q(t). Factor o(v).
2*(v + 1)**2*(v + 10)/7
Let c(n) be the second derivative of n**7/210 + 4*n**6/75 - 12*n**5/25 - 91*n**4/30 - 193*n**3/30 - 33*n**2/5 - n - 221. Factor c(w).
(w - 6)*(w + 1)**3*(w + 11)/5
Let a(u) be the third derivative of -u**7/16380 + u**6/1560 + u**4/8 + 31*u**3/6 + 55*u**2. Let p(x) be the second derivative of a(x). Factor p(d).
-2*d*(d - 3)/13
Let o be (-45)/30*(2 - (-305)/(-150)). Let j(h) be the first derivative of 2/15*h**3 - 10 - 2/5*h**2 - 8/5*h + o*h**4. Factor j(d).
(d - 2)*(d + 2)**2/5
Let r(v) = v**3 + 5*v**2 - 3*v + 7. Let g = -108 + 103. Let x be r(g). Find f, given that -26*f**2 + 45*f**2 - x*f**2 + 2 + 5*f = 0.
-1/3, 2
Let r(p) be the first derivative of -p**7/14 + p**6 - 24*p**5/5 + 8*p**4 - 42*p + 100. Let u(m) be the first derivative of r(m). Suppose u(s) = 0. Calculate s.
0, 2, 4
Let v be -1 + 137/2*(-92)/(-14). Let i = 450 - v. Suppose 8/7*o**3 + 4/7*o**2 - 4/7*o**4 - i*o + 0 - 2/7*o**5 = 0. What is o?
-3, -1, 0, 1
Suppose 7*l + 630 = 21*l. Let q = l + -41. Find o, given that -30*o**3 - 42*o - 18*o + 28 + 65*o**2 + 34 - 42 + 5*o**q = 0.
1, 2
Let t = 759 + -680. Let x = t - 236/3. Factor 1/3*s**2 - x + 0*s.
(s - 1)*(s + 1)/3
Factor 132*y - 118 - 3*y**3 + 12*y**2 - 78 - 194 + 73 + 29.
-3*(y - 8)*(y - 2)*(y + 6)
Let a(d) be the first derivative of d**4/4 - 3*d**3 + 80. Solve a(t) = 0.
0, 9
Let g(l) be the first derivative of