 l**3. Factor w(g).
-3*g*(g + 1)
Let v be (-44 - -48)*-1*((-24)/(-28))/((-10)/14). Determine u so that 99/5*u - 12/5*u**4 - 99/5*u**3 - 12/5*u**2 + v = 0.
-8, -1, -1/4, 1
Let h = 252119/2 + -126058. Factor -39*o + 507/2 + h*o**2.
3*(o - 13)**2/2
Let h(f) be the second derivative of 6*f**5/5 + 5*f**4/2 + 25*f**3/12 + 89*f**2/2 - 82*f. Let l(m) be the first derivative of h(m). Factor l(w).
(12*w + 5)**2/2
Let y(j) be the third derivative of j**8/84 + 262*j**7/5 + 840889*j**6/10 + 771095213*j**5/15 + 5956*j**2. Factor y(f).
4*f**2*(f + 917)**3
Suppose 3*y - 34 = 2*v + 3*v, -3*v - 30 = -5*y. Let l(m) be the first derivative of 12 + 27 - m**y - 6. Factor l(c).
-3*c**2
Let g(z) be the first derivative of -z**6/900 + z**5/50 - 3*z**4/20 - 7*z**3/3 - 3*z**2/2 + 51. Let m(n) be the third derivative of g(n). Factor m(y).
-2*(y - 3)**2/5
Let a(b) be the first derivative of -2*b**3/15 + 36*b**2/5 - 110*b + 3635. Factor a(m).
-2*(m - 25)*(m - 11)/5
Let v(d) be the second derivative of d**5/180 + 35*d**4/54 - 76*d**3/9 + 4179*d. Factor v(t).
t*(t - 6)*(t + 76)/9
Factor 285 + 193/2*r + 1/2*r**2.
(r + 3)*(r + 190)/2
Let s(j) be the third derivative of -1/5*j**3 - 1/420*j**7 - 7/60*j**4 + 0*j + 134*j**2 + 0 + 7/300*j**6 + 17/600*j**5. Suppose s(m) = 0. What is m?
-1, -2/5, 1, 6
Factor 3482*u**2 - 1744*u**2 + 816*u + 1620 - 1735*u**2.
3*(u + 2)*(u + 270)
Let c(k) be the first derivative of k**6/360 - k**5/24 + 25*k**3/3 + 31. Let f(x) be the third derivative of c(x). Factor f(h).
h*(h - 5)
Let b(m) be the second derivative of m**4/8 - 47*m**3/4 - 752*m. Factor b(y).
3*y*(y - 47)/2
Determine x, given that 52*x + 0 + 1/4*x**5 - 51*x**2 - 14*x**3 + 51/4*x**4 = 0.
-52, -2, 0, 1, 2
Factor 30489 + 57779 - 810*x + 272*x + 2*x**2 - x**2 - 15907.
(x - 269)**2
Let w be -5 + 268/28 + 6/14. Factor -9*r + 0*r - 6*r + w*r**2 + 0*r - 20.
5*(r - 4)*(r + 1)
Let w = -11850 - -11852. Let p(n) be the third derivative of 7*n**w + 1/36*n**4 + 1/360*n**5 + 0 + 0*n + 0*n**3. Let p(d) = 0. Calculate d.
-4, 0
Let j(t) = t**3 - t - 1. Let s(c) = 24*c**3 - 9931*c**2 + 8220364*c - 2739046. Let l(p) = 84*j(p) - 4*s(p). Factor l(y).
-4*(y - 1655)**2*(3*y - 1)
Let w = -15195 - -45586/3. Let c be ((-1)/12)/((-10)/20). Let -w*s + c*s**2 + 0 + 1/6*s**3 = 0. What is s?
-2, 0, 1
Let a(n) be the second derivative of -3/8*n**3 - 1/32*n**4 - 27/16*n**2 + 59*n - 1. Factor a(t).
-3*(t + 3)**2/8
Let y(o) = o**3 - o**2 + 3*o - 2. Let w(x) = -4*x**3 + 1740*x**2 - 1005732*x + 194104545. Let z(l) = w(l) + 3*y(l). Factor z(r).
-(r - 579)**3
Let l = 18149/54465 + 2/18155. What is z in -5/3 + l*z**2 - 4/3*z = 0?
-1, 5
Let r(b) = -118*b - 305. Let g be r(-3). Let h be (-21)/g - -145*6/462. Factor -h*d - 2/11*d**2 - 14/11.
-2*(d + 1)*(d + 7)/11
Let l be ((-205 + 205)/(-1*1))/2. Factor 3/2*n + l - 3/2*n**2.
-3*n*(n - 1)/2
Suppose -m = i + 25, -3*m - 2*i - 106 = m. Let x be m/(-275) + 14/175. Factor 2/11 + x*s - 2/11*s**3 - 2/11*s**2.
-2*(s - 1)*(s + 1)**2/11
Let i(w) be the first derivative of 0*w**2 + 1/6*w**6 + 0*w + 2/5*w**5 + 1/4*w**4 - 20 + 0*w**3. Factor i(t).
t**3*(t + 1)**2
Let t(g) be the first derivative of -4*g**3/3 - 76*g**2 - 1444*g - 44. Factor t(f).
-4*(f + 19)**2
Let q(k) be the third derivative of k**7/630 - 13*k**6/120 + 73*k**5/180 + 13*k**4/24 - 37*k**3/9 + 374*k**2. Suppose q(x) = 0. Calculate x.
-1, 1, 2, 37
Let k(p) be the second derivative of -2*p**6/15 + 111*p**5/10 - 367*p**4/6 + 52*p**3 + 2*p + 223. Determine v so that k(v) = 0.
0, 1/2, 3, 52
Suppose 4*v + x - 10 = 0, -81 = -3*v - 4*x - 67. Let y = 18 - 1. Factor -30 + 43*h**v + 5*h - y*h**2 - 21*h**2.
5*(h - 2)*(h + 3)
Solve 5*u**2 - 3*u**2 + 2 - 11*u + 10*u + u**2 - 4*u**2 = 0 for u.
-2, 1
Let c(u) be the second derivative of 0 - 101*u - 4/27*u**3 - 1/54*u**4 + 0*u**2 + 1/30*u**5. What is y in c(y) = 0?
-1, 0, 4/3
Let q(s) be the second derivative of -3*s**5/20 - 59*s**4/4 - 82*s**3 + 336*s**2 - 3*s + 173. Find x, given that q(x) = 0.
-56, -4, 1
Suppose 3*k + 3*v + 780 = 750, -20 = 4*k + 2*v. Find i, given that 2/9*i**4 - 4/9*i**2 + k*i**3 + 2/9 + 0*i = 0.
-1, 1
Let m = -48 - -67. Factor -4*c**2 - m*c**2 - 55*c**3 + 50 - 22*c**2 - 5*c**4 + 55*c.
-5*(c - 1)*(c + 1)**2*(c + 10)
Let u(a) = -a**2 - 38*a - 221. Let h be u(-31). Let v be h/(-10)*((-200)/35 + 10). Solve -18/7*w - v*w**3 - 54/7*w**2 + 24/7 = 0 for w.
-4, -1, 1/2
Let x(d) be the third derivative of -4/165*d**5 - d**2 + 0*d**3 - 1/11*d**4 + 0 + 12*d - 1/660*d**6. Factor x(o).
-2*o*(o + 2)*(o + 6)/11
Let a = 339 + -343. Let d(r) = 6*r**5 - 18*r**4 - 11*r**3 + 7. Let c(q) = -q**5 + 2*q**4 + q**3 - 1. Let f(t) = a*d(t) - 28*c(t). Let f(n) = 0. What is n?
-2, 0
Suppose 60*j - 3*x = 59*j + 60, -226 = -4*j - 2*x. Let y be 3/5*456/j. Factor 14/5*s**3 - 88/5*s - 2*s**2 - y.
2*(s - 3)*(s + 2)*(7*s + 2)/5
Suppose 2202 = 11*t - 5*t. Let d = t - 6971/19. Factor 6/19 + 8/19*i + d*i**2.
2*(i + 1)*(i + 3)/19
Let z(t) = 6*t**3 - 74*t**2 + 62*t - 436. Let k be z(12). Factor 5/4*r**2 + 85/4*r + k.
5*(r + 1)*(r + 16)/4
Let c(p) = -4*p + 110. Let l be c(9). Factor 21*g - 72 - g**3 + l*g**2 + 59*g - 9*g**3 + 72*g.
-2*(g - 9)*(g + 2)*(5*g - 2)
Let b(g) = -g**4 - 6*g**2 + 12*g + 18*g**3 - 49853 + 49849 - 7*g**2. Let z(x) = x**4 - 16*x**3 + 14*x**2 - 11*x + 3. Let a(v) = -3*b(v) - 4*z(v). Factor a(y).
-y*(y - 8)*(y - 1)**2
Let y(o) be the second derivative of o**6/12 + 43*o**5/8 - 245*o**4/3 + 340*o**3 + o + 383. Factor y(c).
5*c*(c - 4)**2*(c + 51)/2
Let i(k) be the third derivative of -43*k**6/360 - 83*k**5/180 - 37*k**4/72 + k**3/6 - 614*k**2. Factor i(g).
-(g + 1)**2*(43*g - 3)/3
Let z(m) be the second derivative of -3*m**5/20 + 11*m**4/4 - 7*m**3/2 - 441*m**2/2 - 72*m - 6. Find n such that z(n) = 0.
-3, 7
Suppose -t - 358 = -409. Suppose 0 = -56*w + 39*w + t. Solve -75/2*p - 125/2 - 1/2*p**w - 15/2*p**2 = 0 for p.
-5
Let i(c) be the second derivative of 3/20*c**5 + 0*c**2 + 7 - 1/2*c**3 - 5*c + 0*c**4. Factor i(y).
3*y*(y - 1)*(y + 1)
Factor -317*t**3 - 36*t**2 + 615*t**3 + 40*t - 302*t**3.
-4*t*(t - 1)*(t + 10)
Let d(u) = -6*u**2 - 1713*u + 3465. Let v(t) = -2*t**2 - 856*t + 1726. Let m(b) = -2*d(b) + 5*v(b). Factor m(y).
2*(y - 425)*(y - 2)
Let t(c) be the first derivative of -c**7/9240 + c**6/264 - 5*c**5/88 + 125*c**4/264 + 151*c**3/3 + 187. Let p(f) be the third derivative of t(f). Factor p(m).
-(m - 5)**3/11
Let a(w) be the second derivative of w**7/357 - 7*w**6/85 - 69*w**5/170 - 71*w**4/102 - 8*w**3/17 + 28*w - 111. Factor a(v).
2*v*(v - 24)*(v + 1)**3/17
Let l = -225 - -321. Find q such that l*q**3 - 50*q**3 - 52*q**3 + 3*q**4 = 0.
0, 2
Determine r so that -148*r**2 - 4/3*r**4 - 224 - 36*r**3 + 1228/3*r = 0.
-21, -8, 1
Let h(j) = 17*j**2 - 432*j + 239. Let p(q) = 6*q**2 - 144*q + 72. Let i(n) = 3*h(n) - 8*p(n). What is u in i(u) = 0?
1, 47
Factor -5160*h**3 - 9*h + 2575*h**3 - 10*h**2 + 2584*h**3.
-h*(h + 1)*(h + 9)
Let h(v) = 3*v**2 - 637*v + 2955. Let f(y) = 20*y**2 - 4140*y + 19208. Let s(u) = -5*f(u) + 32*h(u). Factor s(a).
-4*(a - 74)*(a - 5)
Suppose -4*n + 30 = -3*s, -n - 33 = 3*s - 18. Let x be ((-4)/s)/(182/1404). Factor -30/7 - x*f - 6/7*f**2.
-6*(f + 1)*(f + 5)/7
Let c(d) be the first derivative of 2*d**3/21 - 38*d**2/7 - 78*d/7 - 43. Determine y so that c(y) = 0.
-1, 39
Let v = 1865441 - 1865439. Factor -v*w**4 + 0*w - 8/3*w**2 + 16/3*w**3 + 0.
-2*w**2*(w - 2)*(3*w - 2)/3
Let h(a) = -a**2 + 7*a + 13. Let d be h(10). Let q be d/(5780/(-1128)) + (-2)/17. Solve 4/5*x**4 + 0 - q*x - 16/5*x**2 + 4/5*x**3 = 0 for x.
-2, -1, 0, 2
Let x(a) = a**2 - 7*a + 8. Let c be 1 + 2 - 88/(-22). Let p be x(c). Determine g so that 13*g**4 + p*g - 6*g**4 + 2*g**4 - 7*g**4 - 6*g**3 = 0.
-1, 0, 2
Let u(y) be the second derivative of -178*y + 7/12*y**3 + 1/48*y**4 - 51/8*y**2 + 0. Factor u(d).
(d - 3)*(d + 17)/4
Solve 189*h**2 - h**3 + 36*h**2 + 364*h**2 - 113*h**2 + 4*h - 3*h**3 - 476 = 0 for h.
-1, 1, 119
Suppose -5*q = 4*r + 17, 5*q + 0 = -3*r - 14. Let g be q/(((-4)/22)/2). Factor -5*b**2 - g*b**2 + 10*b**2 - 12*b - 6*b**2 - 3*b**3.
-3*b*(b + 2)**2
Let u(p) = -11*p**2 + 11*p + 14. Suppose 0*s = -2*s + 18. Let z(b) = s - 10*b - 15*b - 7*b**2 + 0*b**2 + 32*b. Let c(r) = 5*u(r) - 8*z(r). Factor c(a).
(a - 2)*(a + 1)
Let t(l) be the second derivative of 5 + 0*l**2 + 0*l**3 + 0*l**4 - 3*l + 3/35*l