ine c so that y(c) = 0.
0, 2, 9
Let q(o) be the first derivative of -2*o**3/27 + 2392*o**2/9 - 2860832*o/9 - 2680. Factor q(v).
-2*(v - 1196)**2/9
Let w(b) be the first derivative of -2*b**6/15 + 4*b**5 + b**4/3 - 40*b**3/3 - 78*b + 208. Let f(y) be the first derivative of w(y). Let f(c) = 0. Calculate c.
-1, 0, 1, 20
Let d(b) be the third derivative of 0*b**4 - 1/672*b**8 + 0*b**5 + 0 - 1/280*b**7 + 0*b**3 + 0*b - 72*b**2 - 1/480*b**6. Factor d(u).
-u**3*(u + 1)*(2*u + 1)/4
Let h be (5148/(-16))/11*6. Let v = h + 177. Factor -3/2*d**3 + 3/2*d**2 + v*d - 3/2*d**4 + 0.
-3*d*(d - 1)*(d + 1)**2/2
Let t(b) be the third derivative of 13*b**8/84 - 12*b**7/35 - 13*b**6/15 + 12*b**5/5 + 13*b**4/6 - 12*b**3 - 4224*b**2. Determine d so that t(d) = 0.
-1, 1, 18/13
Let q(b) = 25*b - 125. Let u be q(7). Factor -75 - 5*y + 11 + 46*y**3 + 28*y**2 - 27*y - u*y**3.
-4*(y - 4)**2*(y + 1)
Let j(y) = -12*y**4 - 296*y**3 + 1380*y**2 - 2800*y + 1984. Let h(m) = 2*m**4 + 59*m**3 - 276*m**2 + 560*m - 397. Let a(s) = -16*h(s) - 3*j(s). Factor a(x).
4*(x - 5)**2*(x - 2)**2
Let u(j) be the second derivative of -j**8/2800 + j**7/1680 + j**6/3600 + 18*j**3 - 17*j. Let d(y) be the second derivative of u(y). Factor d(s).
-s**2*(s - 1)*(6*s + 1)/10
Factor 55/2*t + 0 - 55/2*t**3 + 1/4*t**4 - 1/4*t**2.
t*(t - 110)*(t - 1)*(t + 1)/4
Let j(t) be the first derivative of 0*t**4 + 2*t**3 + 0*t - 7/780*t**5 + 2 + 0*t**2 + 1/2340*t**6. Let p(i) be the third derivative of j(i). Factor p(s).
2*s*(s - 7)/13
Determine k, given that -166*k - 509*k**2 + 4*k**3 + 258*k**2 + 275*k**2 - 122*k = 0.
-12, 0, 6
Let l(r) be the second derivative of r**6/72 + r**5/12 - 5*r**4/8 + r**3/6 - 13*r**2/2 - r - 3. Let x(k) be the second derivative of l(k). Factor x(g).
5*(g - 1)*(g + 3)
Let l(q) be the first derivative of -2*q**3/3 + 52*q**2 - 774*q - 10534. Find p, given that l(p) = 0.
9, 43
Let g(p) be the second derivative of -p**6/6 + 11*p**5/4 - 35*p**4/6 - 110*p**3/3 + 180*p**2 + 447*p. Factor g(v).
-5*(v - 9)*(v - 2)**2*(v + 2)
Let v(u) be the third derivative of 19*u**2 + 0 + 0*u + 0*u**3 + 2/315*u**7 + 2/9*u**4 + 8/45*u**5 + 1/18*u**6. Factor v(k).
4*k*(k + 1)*(k + 2)**2/3
Let j(g) be the second derivative of 16/3*g**4 - 12*g + 16/15*g**6 + 0 + 0*g**2 - 4*g**5 + 0*g**3 - 2/21*g**7. Factor j(h).
-4*h**2*(h - 4)*(h - 2)**2
Let m = -50560 - -50563. Determine j, given that 0 - 4/3*j**m + 16*j**2 + 52/3*j = 0.
-1, 0, 13
Let f(j) = -12*j**2 + 11*j. Let x(p) = -13*p**2 + 10*p. Let a(v) = -5*f(v) + 4*x(v). Let d(q) = q**2 - q + 1. Let y(o) = 2*a(o) - 18*d(o). Factor y(k).
-2*(k + 3)**2
Suppose -3*n + 3700 + 44 = 0. Let m = n - 1248. Find z, given that 1/4*z**2 + 1/2*z + m = 0.
-2, 0
Suppose -12*n - 133 = -529. Let q be (0*(n/6 - 5))/(-2). Factor -2/5*o + q + 2/5*o**2.
2*o*(o - 1)/5
Let t(j) be the third derivative of -j**7/175 - 11*j**6/300 - j**5/15 + 2454*j**2. Determine f, given that t(f) = 0.
-2, -5/3, 0
Find j such that -117*j**3 + 13377*j**2 + 621*j**3 - 4*j**4 + 45687*j + 17351*j**2 - 174711*j + 6*j**4 + 131072 = 0.
-128, 2
Let o(i) be the first derivative of -22 - i**2 - 2*i - 1/6*i**3. Find b such that o(b) = 0.
-2
Let v = -545 + 561. Let g be 12/(-8)*v/(-39). Suppose 6/13*p**2 - g*p + 2/13 = 0. Calculate p.
1/3, 1
Let s(q) be the first derivative of -q**4/2 + 88*q**3/3 + 477*q**2 + 399. Factor s(v).
-2*v*(v - 53)*(v + 9)
Let t(j) = 265*j**2 + 173040*j - 344675. Let u(l) = -11*l**2 - 7210*l + 14362. Let w(b) = -6*t(b) - 145*u(b). Factor w(r).
5*(r - 2)*(r + 1444)
Let p be 105/(-20)*104/(-273). Factor 4/5*y**4 - 128/5 + 16/5*y - 44/5*y**3 + 96/5*y**p.
4*(y - 8)*(y - 2)**2*(y + 1)/5
Let i(h) be the second derivative of 3/4*h**4 + 31/2*h**3 - 7 + 4*h + 15*h**2. Solve i(k) = 0 for k.
-10, -1/3
Let s(m) be the third derivative of -m**8/448 - 3*m**7/140 + m**6/40 + 7*m**5/10 - 16*m**3 + 1143*m**2. Determine n so that s(n) = 0.
-4, -2, 2
Let y(g) be the first derivative of -3*g**6/20 + g**5/120 + 5*g**3/3 + 9*g**2/2 + 126. Let a(q) be the third derivative of y(q). Suppose a(j) = 0. Calculate j.
0, 1/54
Factor 112 - z**3 - 3*z**3 + 0*z**3 + 110*z**2 + 16*z + 111*z**2 - 249*z**2.
-4*(z - 2)*(z + 2)*(z + 7)
Factor -120285 - 12717*y - 843/5*y**2 - 3/5*y**3.
-3*(y + 11)*(y + 135)**2/5
Let y(k) be the second derivative of 3*k**6/70 - 3*k**5/10 + 19*k**4/28 - 2*k**3/7 - 6*k**2/7 + 6*k - 1. Let y(x) = 0. Calculate x.
-1/3, 1, 2
Let c = 21 - 21. Let v be ((-19)/(-133))/(12/14). Factor v*h**3 + 0*h + c + 5/6*h**2.
h**2*(h + 5)/6
Let n = 43/7785 - -1/1211. Let j(x) be the third derivative of -14*x**2 - 1/90*x**5 - n*x**7 + 0*x + 0 + 0*x**3 - 1/60*x**6 + 0*x**4. Solve j(i) = 0.
-1, -1/2, 0
Suppose 4*s + 4 = 3*s + 3*d, -4*s = 2*d - 26. Factor s*i**5 + 2 + 45*i**3 - 30*i**4 - 2.
5*i**3*(i - 3)**2
Let f be 2 + 2/(12/(-158))*-6. What is j in -f*j**3 + 59*j - 8 - 23*j - 48*j**2 + 18*j = 0?
-4/5, 1/4
Let i(t) be the second derivative of -t**7/1260 + 14*t**6/45 - 784*t**5/15 - 37*t**4/6 + 90*t. Let r(n) be the third derivative of i(n). Factor r(m).
-2*(m - 56)**2
Let n = -39277/60 + 13119/20. Find b, given that -n*b**2 - 2500/3 + 200/3*b = 0.
25
Let f(n) be the second derivative of 3/140*n**5 + 248*n - 19/14*n**3 + 0 + 0*n**4 + 45/7*n**2. Factor f(r).
3*(r - 3)*(r - 2)*(r + 5)/7
Factor 11/3*o**3 - 26/3*o**2 + 16/3*o - 1/3*o**4 + 0.
-o*(o - 8)*(o - 2)*(o - 1)/3
Let r = -5884 + 5884. Let t(j) be the third derivative of -20*j**2 + 17/12*j**4 + 0 + 1/2*j**5 + r*j + 2/3*j**3. Factor t(c).
2*(c + 1)*(15*c + 2)
Let d(s) = -10 - 20 + 102*s + 11 - 28 - 52. Let o be d(1). Factor 0*v - 2/5*v**2 + 0 + 2/5*v**o.
2*v**2*(v - 1)/5
Let q be 322 + ((-18)/(-15))/((-18)/(-30)). Let p be (-1 + 1)*162/q. Factor 0 - 3/4*m**2 + p*m + 1/4*m**3.
m**2*(m - 3)/4
Let a(l) = l**2 - 13*l - 12. Let p be a(14). What is c in 3 - 42*c**2 + 37*c**p + 2 = 0?
-1, 1
Let u(c) be the first derivative of -1/24*c**3 + 3/8*c**2 - 9/8*c - 103. Factor u(r).
-(r - 3)**2/8
Let b(x) = -3*x**3 - 328*x**2 + 1987*x - 2964. Let l(n) = 28*n**3 + 2953*n**2 - 17885*n + 26664. Let h(g) = -57*b(g) - 6*l(g). Factor h(j).
3*(j - 3)**2*(j + 332)
Let w(n) be the second derivative of 7*n**6/180 - 13*n**5/60 - n**4/72 + 11*n**3/9 + n**2 - 2306*n. Let w(y) = 0. Calculate y.
-1, -2/7, 2, 3
Let w(o) be the second derivative of -1/3*o**3 - 14*o + 9/8*o**2 - 1/48*o**4 + 0. Factor w(f).
-(f - 1)*(f + 9)/4
Suppose 28*s = 2*l + 30*s - 6, -4*s - 4 = 0. Let i(d) be the second derivative of 0*d**2 + 0 - 13*d + 2/3*d**l + 1/4*d**5 + 2/3*d**3 + 1/30*d**6. Factor i(v).
v*(v + 1)*(v + 2)**2
Let m(u) be the third derivative of u**7/30 + 151*u**6/30 + 2623*u**5/12 + 1849*u**4/12 + 340*u**2. Factor m(y).
y*(y + 43)**2*(7*y + 2)
Let q(g) be the second derivative of g**6/15 + 21*g**5/10 + 109*g**4/6 - 7*g**3 - 110*g**2 + 1135*g + 1. Suppose q(k) = 0. What is k?
-11, -10, -1, 1
Solve 5315 + 5*a**2 - 51347*a + 46147*a - 120 = 0 for a.
1, 1039
Let m = 7 + -3. Suppose 0 = 25*g - 2*g - 135*g - 132*g. Find o such that -8/9*o**3 + g*o**2 + 4/9*o**5 + 0 + 4/9*o**m + 0*o = 0.
-2, 0, 1
Factor 2/9*h**3 - 56/9*h**2 + 0*h + 0.
2*h**2*(h - 28)/9
Let x be (-12)/(8*10/(-220)). Suppose 25*n = x*n. Determine m so that n*m + 3/2*m**5 + 0 + 0*m**2 + 3/2*m**3 - 3*m**4 = 0.
0, 1
Let l(v) be the third derivative of 59*v**8/2184 + v**7/1365 + 947*v**2. Factor l(s).
2*s**4*(59*s + 1)/13
Let s = 208 + -89. Suppose s = 3*n + 44. Let -11*q + 18*q - 21*q**2 - 16 + n*q + 9*q**2 = 0. Calculate q.
2/3, 2
Let c(z) be the third derivative of -z**8/16 + 22*z**7/35 - 47*z**6/40 - 79*z**5/10 + 75*z**4/2 - 36*z**3 + 2486*z**2. Solve c(f) = 0 for f.
-2, 2/7, 2, 3
Let u(w) be the first derivative of -58 + 2*w + 1/2*w**4 - w**2 - 1/2*w**3 - 1/10*w**5. Solve u(k) = 0.
-1, 1, 2
Let c = -93199 - -93202. Find h such that 48/17*h - 32/17 + 2/17*h**c - 18/17*h**2 = 0.
1, 4
Let r = -50942 - -50944. Suppose 520/7*b**r + 40/7*b**4 + 258/7*b + 36/7 + 38*b**3 = 0. What is b?
-3, -2/5, -1/4
Let h(r) be the first derivative of 36 - 1/22*r**4 + 8/11*r**2 + 2/33*r**3 - 24/11*r. Factor h(k).
-2*(k - 2)**2*(k + 3)/11
Suppose -198*r - 27 = -201*r. Let p be 6*(220/(-25) + r). Suppose 2/5*a**2 + p + 8/5*a = 0. What is a?
-3, -1
Suppose -34/5*k**3 - 249/5*k**2 + 972/5 - 1/5*k**4 + 756/5*k = 0. Calculate k.
-18, -1, 3
Suppose -1727*w - 4*w**4 - 180*w**3 - 544