5*x**2 + 2/5 - 3/5*x + x**w - 18/5*x**4 + 22/5*x**3 = 0.
-2/5, 1
Let g(y) be the third derivative of y**5/180 - y**4/12 + 4*y**3/9 + 13*y**2 - y. Find n such that g(n) = 0.
2, 4
Let f be -1*63/(-7) + -5. Let h(s) be the second derivative of 0*s**f + 7*s - 3/20*s**5 + 0 + 3/2*s**3 + 3*s**2. Determine z so that h(z) = 0.
-1, 2
Let y(o) be the second derivative of 0 - 1/8*o**4 + 13*o + 0*o**3 + 0*o**2. Suppose y(p) = 0. Calculate p.
0
Factor -25 - 37 + 9 - 5*q**2 - 226*q + 3 + 261*q.
-5*(q - 5)*(q - 2)
Factor -90*r - 2700 - 3/4*r**2.
-3*(r + 60)**2/4
Suppose 0 = 3*r - s - 7, 3*s - 4 = -2*r + 8. Let j(d) be the third derivative of -1/66*d**4 + 1/33*d**r + 1/330*d**5 + 0*d + 0 - 5*d**2. Factor j(p).
2*(p - 1)**2/11
Let h(m) be the second derivative of -m**7/70 + m**6/40 + 3*m**5/20 - m**4/8 - m**3 + 35*m**2/2 - 14*m. Let n(w) be the first derivative of h(w). Factor n(b).
-3*(b - 2)*(b - 1)*(b + 1)**2
Let m(a) be the first derivative of -125*a**5 + 7375*a**4/4 + 3150*a**3 + 1930*a**2 + 520*a + 376. Find n, given that m(n) = 0.
-2/5, 13
Let a(b) = -b**2 + 7*b + 4. Let w be (-4 - (-24)/5)*-5. Let s(y) = 3*y**2 - 21*y - 13. Let g(l) = w*s(l) - 11*a(l). Factor g(v).
-(v - 8)*(v + 1)
Let n(s) = -45*s + 275. Let v be n(6). Let x(i) be the first derivative of 1/15*i**v - 3 - 1/9*i**3 + 1/3*i**2 + 1/18*i**6 - 1/4*i**4 + 0*i. Factor x(g).
g*(g - 1)**2*(g + 1)*(g + 2)/3
Factor -11*a**2 + 2*a**2 + 120 + 52*a + a**2 + 8*a**2 + 4*a**2.
4*(a + 3)*(a + 10)
Let c(n) = -2 - 4*n**3 + 0*n**2 + 7*n**2 + 3*n**3 - 5*n - 1. Let m be c(6). Determine b, given that b - 30*b**4 + b - 25*b**m + 5*b**2 + 12*b**3 = 0.
-1/2, -1/3, 0, 2/5
Factor 63/4 - 3/4*n**2 + 3*n.
-3*(n - 7)*(n + 3)/4
Suppose 2*t = -o + 15, 2*o - 6*o + 12 = 0. Suppose 7 = n - t. Suppose 5 + 20*r - 60*r**3 - 60*r - n - 74*r**2 - 18*r**4 = 0. What is r?
-1, -2/3
Factor 139*r**2 + 1960 + 5*r**3 - 289*r + 11*r**2 + 1161*r + 388*r.
5*(r + 2)*(r + 14)**2
Let o(z) = -2*z + 12. Let k be o(-9). Suppose -12 = 3*n - k. Find f, given that f**4 + 0*f**3 + 3*f**3 + 2*f**4 - n*f**2 = 0.
-2, 0, 1
Let b(i) = -2*i**2 + 29*i + 51. Let v be b(16). Let n(g) be the first derivative of -3*g**4 + 8*g**2 - 4 + 16*g - 20/3*g**v. Factor n(r).
-4*(r - 1)*(r + 2)*(3*r + 2)
Suppose 3*n = 4 + 2. Suppose 4*m + 4*r + r - 20 = 0, 3*m - 4*r - 15 = 0. Factor 4/3*k + 0 - 2*k**4 - 4*k**n + 13/3*k**3 + 1/3*k**m.
k*(k - 2)**2*(k - 1)**2/3
Let z(a) be the second derivative of a**4/126 + a**3/9 + 4*a**2/7 + 17*a. Factor z(r).
2*(r + 3)*(r + 4)/21
Let b(w) be the second derivative of 1/45*w**5 + 1/6*w**4 + 0 - 9*w + 13/27*w**3 + 2/3*w**2. Factor b(o).
2*(o + 1)*(o + 2)*(2*o + 3)/9
Let q(v) be the first derivative of -v**5/5 + v**4 + 25*v**3/4 + 61*v**2/8 + 7*v/2 + 8. Find p, given that q(p) = 0.
-2, -1/2, 7
Factor 7*u**2 - 215*u - 595*u + 32805 - 10*u**2 + 8*u**2.
5*(u - 81)**2
Let p = 12 - -8. Determine j so that j - 14 + p - 3*j**2 + 2*j = 0.
-1, 2
Let s be 3*(4/(-30))/(2/80). Let g be (s/(-25))/(12/30) - 0. Factor 2/5*n**2 + g*n**3 + 0*n + 8/5*n**4 + 0.
2*n**2*(2*n + 1)**2/5
What is t in 109/7*t + 222/7 - 1/7*t**2 = 0?
-2, 111
Let -1 - 3/4*y + 1/4*y**2 = 0. What is y?
-1, 4
Suppose -6*q + 594 = 2808. Let b be 2*1*(q/(-90) + -4). Factor -b*t**5 - 2/5 + 7/5*t + 2/5*t**3 + 2/5*t**4 - 8/5*t**2.
-(t - 1)**4*(t + 2)/5
Let u(s) be the third derivative of -s**8/6720 - s**7/840 + 13*s**5/60 - 9*s**2. Let m(g) be the third derivative of u(g). Determine y, given that m(y) = 0.
-2, 0
Let k(x) = x**3 + x**2 + 2. Let i be k(0). Let s = -4 - -6. Suppose -2*g**2 + g**2 - g**i + s = 0. What is g?
-1, 1
Let g(m) = -7*m**3 + 11*m**2 - 2*m + 2. Let z be (3/(-2))/((-33)/88). Let k = z + -2. Let x(p) = -p**2 - 1. Let h(n) = k*x(n) + g(n). Factor h(s).
-s*(s - 1)*(7*s - 2)
Let w = -267 + 269. Let i(u) be the third derivative of 0*u**3 + w*u**2 + 1/270*u**5 + 0*u + 0 - 1/108*u**4. Factor i(g).
2*g*(g - 1)/9
Let 2/3*x**4 + 32/3*x**3 + 98/3 + 52*x**2 + 224/3*x = 0. Calculate x.
-7, -1
Suppose -10*h - 9 = -69. Suppose 4*j - h*j = 0. Factor 0*f + 2/3*f**2 + 2/3*f**5 + 2*f**3 + 2*f**4 + j.
2*f**2*(f + 1)**3/3
Let z(b) be the first derivative of -b**4/26 - 88*b**3/39 - 437*b**2/13 + 2116*b/13 + 564. Factor z(k).
-2*(k - 2)*(k + 23)**2/13
Let a be 0*((-56)/(-16) + -3). Factor 0 + 0*b**3 + a*b - 2/7*b**4 + 2/7*b**2.
-2*b**2*(b - 1)*(b + 1)/7
Let c(d) be the third derivative of d**5/240 - 19*d**4/16 - 226*d**2. Suppose c(s) = 0. Calculate s.
0, 114
Suppose 72/5 + 129/5*k + 71/5*k**2 + 3*k**3 + 1/5*k**4 = 0. What is k?
-8, -3, -1
Let i(j) = 6*j**3 + 19*j**2 - 11*j - 6. Let u(c) = 7*c**3 + 18*c**2 - 12*c - 7. Let b(r) = -3*i(r) + 4*u(r). Determine a, given that b(a) = 0.
-2, -1/2, 1
Let z(d) be the first derivative of -1/2*d + 8 - 1/8*d**2 + 1/4*d**3. Factor z(i).
(i - 1)*(3*i + 2)/4
Let d(z) = 23*z**2 - 43*z + 9. Let c(j) = -45*j**2 + 87*j - 19. Let x(f) = 3*c(f) + 5*d(f). Factor x(o).
-2*(o - 2)*(10*o - 3)
Factor -11*v**2 - 4*v**3 + 4*v**3 - v**4 + 4*v**3 + 12*v**2 - 4*v.
-v*(v - 4)*(v - 1)*(v + 1)
Let f(j) be the third derivative of j**8/112 + j**7/70 - 7*j**6/20 + 13*j**5/10 - 19*j**4/8 + 5*j**3/2 + 4*j**2 - 9*j. Factor f(d).
3*(d - 1)**4*(d + 5)
Let q(x) be the third derivative of -x**8/28 - 17*x**7/70 - 3*x**6/5 - 13*x**5/20 - x**4/4 - 458*x**2. Find j, given that q(j) = 0.
-2, -1, -1/4, 0
Let s be 5/25 - (-3 + 4 - (-282)/(-240)). Solve -3/8*h - 3/4 + s*h**3 + 3/4*h**2 = 0 for h.
-2, -1, 1
Let l(p) be the third derivative of p**5/240 + p**4/12 + 2*p**3/3 - 251*p**2 + 3. Factor l(k).
(k + 4)**2/4
Suppose v + 4*v = 15. Let p(a) be the first derivative of -3/2*a**4 + 33/4*a**2 + 7*a**3 - 24/5*a**5 + v*a + 4 - 7/4*a**6. What is x in p(x) = 0?
-1, -2/7, 1
Let d(t) be the third derivative of t**5/70 - 129*t**4/7 + 66564*t**3/7 - 191*t**2. Factor d(c).
6*(c - 258)**2/7
Find a, given that -16*a - 9 - 128*a**2 - 39 + 132*a**2 = 0.
-2, 6
Let b(t) be the first derivative of -2*t**2 + 35*t - 61. Let r be b(8). Factor 0*z**4 - 9/2*z**r + 3*z**2 + 0 + 0*z + 3/2*z**5.
3*z**2*(z - 1)**2*(z + 2)/2
Let p = 995 + -992. Let d(o) be the first derivative of -36*o + o**4 - 1 + 30*o**2 - 28/3*o**p. Factor d(r).
4*(r - 3)**2*(r - 1)
Let g(w) be the third derivative of 13/80*w**5 + 17/280*w**7 + 0 + 1/112*w**8 + 3/20*w**6 + 0*w**3 + 0*w - 15*w**2 + 1/16*w**4. Find o such that g(o) = 0.
-2, -1, -1/4, 0
Let c be 120/36*(-15)/(-25) + -2. Factor 0*l**2 - 1/2*l**3 + 2*l + c.
-l*(l - 2)*(l + 2)/2
Let q be (-1)/3 - (2 - 26/6). Factor -2*m**2 - 4*m**2 + 5*m**3 - q*m**5 + 4 - 6*m + 3*m**3 + 2*m**2.
-2*(m - 1)**3*(m + 1)*(m + 2)
Let z(w) be the third derivative of -w**8/1920 - w**7/1008 + w**6/720 - 23*w**4/12 - 47*w**2. Let r(b) be the second derivative of z(b). Factor r(i).
-i*(i + 1)*(7*i - 2)/2
Let o(t) be the first derivative of t**6/150 + 13*t**5/100 + t**4 + 56*t**3/15 + 32*t**2/5 - 21*t + 7. Let a(g) be the first derivative of o(g). Factor a(f).
(f + 1)*(f + 4)**3/5
Let w(t) be the first derivative of -t**7/70 + 7*t**6/40 - 9*t**5/10 + 5*t**4/2 - 4*t**3 + 2*t**2 - 7. Let l(s) be the second derivative of w(s). Factor l(y).
-3*(y - 2)**3*(y - 1)
Let t(z) = 4*z**4 - 14*z**3 - 2*z**2. Let d(x) = 18*x + x**2 - 18*x - 6*x**3 + 5*x**3 + x**4. Let o(c) = -6*d(c) + t(c). Factor o(w).
-2*w**2*(w + 2)**2
Let c be (-1*2 - -3)/(12/24). Let y be (-4)/22 + ((-12)/(-33))/c. Determine r, given that -2/5*r - 2/5*r**3 + y + 4/5*r**2 = 0.
0, 1
Let t = -146 + 81. Let a = 67 + t. What is l in 2/7 - 1/7*l**a + 1/7*l = 0?
-1, 2
Let s(f) = -f**2 + 32*f - 11. Let r(l) = -3*l**2 + 127*l - 44. Let p(g) = 2*r(g) - 9*s(g). Factor p(m).
(m - 11)*(3*m - 1)
Let u(d) be the second derivative of -d**7/294 + d**5/35 + d**4/42 - d**3/14 - d**2/7 + d + 46. Factor u(v).
-(v - 2)*(v - 1)*(v + 1)**3/7
Let v(w) = -2*w**3 - 8*w**2 + 16*w + 66. Let c be v(-4). Factor 1/2*s**c + 1/2*s + 1/6*s**3 + 1/6.
(s + 1)**3/6
Let t be 10 + -5 - (3 + 2). Suppose -4*u + 3*q = 6*q, -4*u + 3*q = t. Factor 0*o - o**2 + u + 1/2*o**3.
o**2*(o - 2)/2
Let r(d) = -47*d**2 + 4680*d - 456307. Let f(j) = 33*j**2 - 3120*j + 304205. Let a(u) = 7*f(u) + 5*r(u). Factor a(x).
-4*(x - 195)**2
Let h be (-270)/120*(-24)/9. Let a(s) be the third derivative of 0*s**4 + 1/210*s**7 + 0*s**h + 0 + 0*s**5 + 0*s**3 + s**2 + 0*s. Find o, given that a(o) = 0.
0
Let f(w) be the first d