= -3*c(d) - 2*v(d). Solve k(g) = 0 for g.
0, 25
Let i(p) = -11*p - 67. Let j(s) = -5*s - 33. Let t(w) = 6*i(w) - 13*j(w). Let z be t(23). Factor -z*k**2 + 2*k + 3*k**3 - k**3 + 4*k**3 - 4*k**3.
2*k*(k - 1)**2
Suppose 2*x - 2*p - 24 = 0, 30*p - 31*p = 6. Let k(v) be the second derivative of -12*v + 0*v**4 + 0 + 0*v**3 + 1/45*v**x + 1/15*v**5 + 0*v**2. Factor k(j).
2*j**3*(j + 2)/3
Let u(f) be the first derivative of -f**4/22 - 34*f**3/11 + 162*f**2/11 - 4565. Solve u(t) = 0 for t.
-54, 0, 3
Suppose -v + 2*s + 25 + 9 = 0, 136 = 4*v - 5*s. Factor 2*c**3 - 878 + 2*c**2 + 894 + 18*c**2 + v*c.
2*(c + 1)**2*(c + 8)
Let f be ((-3486)/147)/(8/(-28)). Factor 130*n**2 + 105 - 112*n - f*n - 5*n**3 + 15 - 50*n.
-5*(n - 24)*(n - 1)**2
Determine n, given that -1/5*n**2 - 726/5*n - 131769/5 = 0.
-363
Let m(u) be the third derivative of 0*u**3 + 3/20*u**4 - 2*u - 140*u**2 + 1/300*u**6 - 1/25*u**5 + 0. Factor m(j).
2*j*(j - 3)**2/5
Let d(j) be the second derivative of j**5/6 + 95*j**4/4 - 145*j**3/6 - 215*j**2/3 + 1118*j. Determine t so that d(t) = 0.
-86, -1/2, 1
Let d = 1677 + -1675. Let f(h) be the first derivative of -2/3*h + 1/9*h**3 + 7 + 1/6*h**d. Solve f(v) = 0 for v.
-2, 1
Let j be -1 + 4 + (1 - -11). Suppose -2*u = -z - j, 2*z = 2*u - 20 - 0. Solve -2*o**4 + 5*o**4 - 2*o**5 + u*o**5 = 0.
-1, 0
Let t(h) be the second derivative of 44*h + 0 - 1849/12*h**2 - 1/72*h**4 + 43/18*h**3. Solve t(c) = 0.
43
Let r = 488 + -488. Suppose 6*m - 346 + 334 = r. Factor 2*w - 1/3 - 5/3*w**m.
-(w - 1)*(5*w - 1)/3
Let t = 259898/22665 - 2/7555. Let d = t + -1682/165. Find m, given that -d*m**2 + 0 + 4/11*m + 10/11*m**3 = 0.
0, 2/5, 1
Let s(z) be the second derivative of -z**7/126 + 317*z**6/45 - 133561*z**5/60 + 2314775*z**4/9 + 9460712*z**3/9 + 4764064*z**2/3 + z + 2068. Factor s(q).
-(q - 212)**3*(q + 1)**2/3
Let u(k) = k**3 + 38*k**2 - 133*k + 84. Let r(x) = 3*x**3 + 112*x**2 - 399*x + 249. Let m(h) = 6*r(h) - 21*u(h). What is v in m(v) = 0?
-45, 1, 2
Let a(j) = 2*j**4 + 11*j**3 - 47*j**2 + 28*j - 3. Let y(h) = h**3 - 3*h**2 - 1. Let l(u) = a(u) - 3*y(u). Factor l(b).
2*b*(b - 2)*(b - 1)*(b + 7)
Let o(j) be the third derivative of -j**5/540 - 7*j**4/24 + 11*j**3/3 + 1632*j**2. Factor o(n).
-(n - 3)*(n + 66)/9
Let s be (-82)/(-24) + -14 + 55 + -44. Let h(t) be the first derivative of s*t**2 - 1/18*t**3 - t + 17. Suppose h(p) = 0. Calculate p.
2, 3
Let k(c) be the third derivative of -c**9/45360 + c**8/4032 - c**7/1260 - c**4/24 - 2*c**3/3 + 28*c**2. Let q(i) be the second derivative of k(i). Factor q(x).
-x**2*(x - 3)*(x - 2)/3
Let s = 7947 - 7944. Let u = -28 - -55. Solve -24*i + u*i**2 + 21*i**2 + 4 + 12*i**4 - 13*i**s - 27*i**3 = 0 for i.
1/3, 1
Let q(w) be the first derivative of -w**4/8 + 250*w**3/3 - 497*w**2/4 - 499*w + 1928. Factor q(o).
-(o - 499)*(o - 2)*(o + 1)/2
Let y(s) = -s**2 - 8*s + 715. Let a be y(23). Factor 0 + 0*f + 5*f**a + 20*f**3 + 35/4*f**4.
5*f**2*(f + 2)*(7*f + 2)/4
Let y be (5 + 0 - 13) + (-5 - (1072/(-40) + -3)). Find g such that -y - 9/5*g + 3/5*g**2 = 0.
-4, 7
Factor -29609*u**2 - 4 + 8 + 14*u + 12 + 29607*u**2.
-2*(u - 8)*(u + 1)
Let a(b) be the second derivative of b**7/84 - b**6/60 - b**5/4 - b**4/3 - 667*b + 3. Factor a(u).
u**2*(u - 4)*(u + 1)*(u + 2)/2
Let b(n) = -3*n + n**2 + n**3 - 3*n**2 + 96 + 0*n - 3*n**2 - 67. Let k be b(3). Factor -1/3*t**4 + 1/3*t**k + 0*t + 0*t**3 + 0.
-t**2*(t - 1)*(t + 1)/3
Let w(t) be the first derivative of 0*t + 29 - 1/3*t**4 - 4/9*t**2 - 2/3*t**3 - 2/45*t**5. Factor w(j).
-2*j*(j + 1)**2*(j + 4)/9
What is r in -756 + 34069*r**2 + 2052*r + 760*r**3 - 17986*r**2 - 116*r**4 + 4*r**5 - 18027*r**2 = 0?
1, 3, 21
Let y(t) be the third derivative of -t**5/300 - 71*t**4/6 - 473*t**3/10 + 11100*t**2. Suppose y(c) = 0. What is c?
-1419, -1
Let i(u) be the third derivative of 111*u**2 + 1/15*u**5 + 10*u**3 + 0*u + 0 + 8/3*u**4. Find k, given that i(k) = 0.
-15, -1
Suppose -74*w = 158*w - 57*w. Let y(u) be the third derivative of w*u**3 - 3/16*u**4 - 1/40*u**5 + 0*u - 1/420*u**7 + 1/48*u**6 + 0 + u**2. Factor y(z).
-z*(z - 3)**2*(z + 1)/2
Let u(o) = o**3 - 589*o - 2*o**3 - 4*o**2 + 604*o + 21. Let y be u(-6). Factor 6*v**y - 8*v**3 - 2*v**2 - 6*v**2.
-2*v**2*(v + 4)
Let x(h) be the third derivative of h**7/70 + 3*h**6/10 + 21*h**5/10 + 13*h**4/2 + 21*h**3/2 + 8*h**2 + 44. Solve x(c) = 0.
-7, -3, -1
Let s(w) = -15*w**3 - 342*w**2 - 727*w - 360. Let u(q) = -9*q**3 - 228*q**2 - 484*q - 240. Let l(j) = 5*s(j) - 8*u(j). Determine x, given that l(x) = 0.
-1, 40
Suppose -74*w = -74*w + 2*l, 3072 = 4*w + 2*l. Solve 64*x + 4/3*x**2 + w = 0 for x.
-24
Let z(i) = i**2 - 70*i + 1219. Let f be z(38). Let q(n) be the third derivative of 0*n + 15*n**2 + 0*n**5 + 0 + 1/150*n**6 + 0*n**f - 1/30*n**4. Factor q(l).
4*l*(l - 1)*(l + 1)/5
Let l(f) be the second derivative of 4*f**6/105 - 19*f**5/70 + 3*f**4/7 + 4*f**3/3 - 40*f**2/7 - 57*f + 3. Let l(q) = 0. What is q?
-5/4, 2
Suppose -19 = -5*t + 3*o, 0 = 4*t + 3*o + 2 - 1. Let d be (-3*1)/((-10)/1210). Factor d*k + 2*k**2 - 6*k**t - k**2 - 263*k - 500.
-5*(k - 10)**2
Let q(x) be the second derivative of -1 - 1/20*x**5 - 7/120*x**6 + 31/48*x**4 - 111*x - 3/2*x**2 + 2/3*x**3. Solve q(u) = 0 for u.
-2, -1, 3/7, 2
Let o be ((-12)/(-2))/1 + 11. Factor 3*b - b - o*b - 3*b**2.
-3*b*(b + 5)
Let o be 1 - (15 + -19 + (-1 - -2)). Solve -u**o + 14*u**2 + u + 14*u**2 - 52*u**2 + 21*u**2 + 3*u**3 = 0.
0, 1
Suppose -3*y = 65 - 86, -63 = -4*t + 3*y. Let c(f) be the third derivative of -1/360*f**6 + 0*f + 0 + 0*f**5 + 0*f**3 + 1/72*f**4 + t*f**2. Factor c(a).
-a*(a - 1)*(a + 1)/3
Let y(n) = 3*n**2 - 75*n + 72. Let o(s) = -12. Let h(z) = 15*o(z) - y(z). Factor h(x).
-3*(x - 21)*(x - 4)
Suppose 154*a - 201*a + 141 = 0. Factor a*k**2 + 1/3*k**3 + 0 - 10/3*k.
k*(k - 1)*(k + 10)/3
Let o(c) be the third derivative of c**6/900 + c**5/50 + c**4/12 + 7*c**3/2 - 2*c**2 + 10*c. Let h(q) be the first derivative of o(q). Factor h(l).
2*(l + 1)*(l + 5)/5
Suppose -2 = -t + 8 - 8. Let b(d) be the second derivative of 0 + 1/2*d**3 + 3*d**t + 32*d - 1/2*d**4 - 3/20*d**5. Factor b(y).
-3*(y - 1)*(y + 1)*(y + 2)
Let w(s) be the third derivative of -s**6/80 + 139*s**5/90 + 31*s**4/36 - 1551*s**2. Find h such that w(h) = 0.
-2/9, 0, 62
Let k(g) be the first derivative of 4*g**2 + 2/5*g**5 - 8*g - 77 - 2*g**4 + 2*g**3. Solve k(q) = 0 for q.
-1, 1, 2
Let x(k) be the second derivative of -k**7/630 - 2*k**6/45 - 7*k**5/30 + 11*k**4/6 - k**3/2 - 2*k + 10. Let q(h) be the third derivative of x(h). Factor q(c).
-4*(c + 1)*(c + 7)
Let i(r) be the second derivative of -r**4/66 - 61*r**3/33 - 280*r**2/11 - 1419*r. Factor i(x).
-2*(x + 5)*(x + 56)/11
Suppose 0 = 33*q - 34*q + 30. Suppose 166*n - 151*n = q. Determine o so that -3*o**3 + 0 - 3/2*o**n + 3/2*o**4 + 3*o = 0.
-1, 0, 1, 2
Let p(h) = -10*h**2 - 42*h - 156. Let f(g) = 2*g**2 + 2. Let a(c) = 6*f(c) + p(c). Factor a(x).
2*(x - 24)*(x + 3)
Suppose -39*w - 307 + 424 = 0. Let c(m) be the first derivative of -10 + 108*m**2 + 4/5*m**5 + 108*m + 48*m**w + 10*m**4. Factor c(n).
4*(n + 1)*(n + 3)**3
Determine b, given that -3/2*b**5 + 96*b**3 + 42*b**4 - 177*b**2 + 135 - 189/2*b = 0.
-3, -1, 1, 30
Factor -8*d**2 - 2/7*d**3 - 60/7 + 118/7*d.
-2*(d - 1)**2*(d + 30)/7
Let i(g) = 13*g**4 + 145*g**3 + 417*g**2 + 391*g + 142. Let p(y) = -15*y**4 - 146*y**3 - 418*y**2 - 388*y - 143. Let u(n) = 7*i(n) + 6*p(n). Factor u(s).
(s + 1)**3*(s + 136)
Let s(y) = 1000*y**2 + 990*y - 145. Let j(k) = -91*k**2 - 90*k + 13. Suppose -454*i + 451*i = -12. Let b(o) = i*s(o) + 45*j(o). Factor b(z).
-5*(z + 1)*(19*z - 1)
Let a(b) = 13*b**2 - 29*b - 10. Let x(u) = -5*u**2 + 10*u + 3. Let l be (-8 - -10) + (-1 + 7)/1. Let i(q) = l*x(q) + 3*a(q). Let i(n) = 0. What is n?
-6, -1
Let g(u) be the third derivative of 24*u**2 + 11/270*u**5 + 0*u**3 + 0 + 0*u - 1/180*u**6 - 1/18*u**4. Let g(s) = 0. What is s?
0, 2/3, 3
Let j = 3243/8 - 29183/72. Let g(l) be the first derivative of -24 - 1/30*l**5 + 1/12*l**4 - j*l**3 + 0*l**2 + 0*l. Factor g(s).
-s**2*(s - 1)**2/6
Let x(z) be the first derivative of -20/3*z + 7*z**2 + 1/6*z**4 - 8/3*z**3 + 248. Factor x(r).
2*(r - 10)*(r - 1)**2/3
Let m(o) = o**4 - o**3 - o**2 + o - 2. Let w(d) = 2*d**4 - 12*d**3 - 2*d**2 + 12*d - 20. Let v(n) = -10*m(n) + w(n). Factor v(p).
-2*p*