*t + 4. Let s(x) = 4*d(x) - n(x). Let j(c) = -4*g(c) + s(c). Factor j(f).
f*(f - 1)
Let a(p) = 2*p**3 + 12*p**2 - 24*p + 14. Let z(b) = 12*b**3 + 60*b**2 - 121*b + 71. Let x(l) = -22*a(l) + 4*z(l). Factor x(j).
4*(j - 3)*(j - 2)*(j - 1)
Let o(c) be the third derivative of -c**5/140 + c**4/14 - 3*c**3/14 + 63*c**2. Factor o(q).
-3*(q - 3)*(q - 1)/7
Suppose 9 = 2*f - 3*v, 2*v = -2*f + 8 - 24. Let i be (-1 - f/3) + 2. Factor 3*n**i + 4 - 1/2*n**3 - 6*n.
-(n - 2)**3/2
Factor -3/4*x**4 - 165/4*x**2 + 225/4*x + 0 + 39/4*x**3.
-3*x*(x - 5)**2*(x - 3)/4
Let p(y) = 24*y - 382. Let v be p(16). Suppose -2/5*d**3 + 0*d + 0 + 2/5*d**v = 0. Calculate d.
0, 1
Let h(i) be the second derivative of 7*i**5/110 - 62*i**4/33 + 83*i**3/33 + 34*i**2/11 + 95*i. Suppose h(c) = 0. Calculate c.
-2/7, 1, 17
Let y be 2 + (-68)/36 - (1040/(-45))/8. Factor -1/3*o**y + 3 - o - 5/3*o**2.
-(o - 1)*(o + 3)**2/3
Let a(n) be the first derivative of 0*n + 3/16*n**4 - 1/2*n**2 - 1/3*n**3 - 18 + 1/24*n**6 + 1/5*n**5. Factor a(v).
v*(v - 1)*(v + 1)*(v + 2)**2/4
Suppose 5*l - 11 = 4*k, 42*k + 3 = 45*k. Let n(t) be the second derivative of -1/10*t**4 + 6*t - 1/5*t**l - 1/5*t**2 + 0 - 1/50*t**5. Factor n(z).
-2*(z + 1)**3/5
Let z(o) be the second derivative of o**6/480 - 17*o**5/80 + 289*o**4/32 - 20*o**3/3 - 25*o. Let m(w) be the second derivative of z(w). Factor m(a).
3*(a - 17)**2/4
Suppose 3*p + 12 = 5*p. Factor -2*k**2 + 2*k**2 - 3*k**4 + p*k**3 - 3*k**2.
-3*k**2*(k - 1)**2
Let f(z) = 5*z**5 - 3*z**4 - 7*z**3 + 5*z**2. Let c(x) = 17*x**5 - 10*x**4 - 23*x**3 + 15*x**2 + x. Let i(v) = 2*c(v) - 7*f(v). Factor i(o).
-o*(o - 1)**3*(o + 2)
Let v(y) be the second derivative of 14*y + 7/9*y**4 + 6*y**2 + 1/15*y**5 + 10/3*y**3 + 0. What is p in v(p) = 0?
-3, -1
Let w(j) = j**5 - j**4 - 11*j**3 + j**2 + 12*j + 2. Let r(h) = 5*h**5 - 4*h**4 - 55*h**3 + 4*h**2 + 61*h + 11. Let c(m) = 4*r(m) - 22*w(m). Solve c(p) = 0.
-2, -1, 0, 1, 5
Suppose 2*x = -2*q + 14, 5*q - 17*x - 11 = -16*x. Factor 0 + 12/5*d**2 - 8/5*d - 4/5*d**q.
-4*d*(d - 2)*(d - 1)/5
Let j(p) be the first derivative of -p**6/21 - 4*p**5/5 - 18*p**4/7 - 68*p**3/21 - 11*p**2/7 + 103. Factor j(f).
-2*f*(f + 1)**3*(f + 11)/7
Let a = 1195/6 - 2387/12. Factor -a*j**2 - 1/2*j + 0.
-j*(j + 2)/4
Let a = 214/17 + -275/34. Determine o, given that -a*o**3 + 6*o**2 - 3/2*o**5 - 6*o**4 + 6*o + 0 = 0.
-2, -1, 0, 1
Find v, given that 6*v**2 + 0 - 4/5*v**4 - 9/5*v**3 + 8/5*v = 0.
-4, -1/4, 0, 2
Find q, given that 0*q**3 - 51*q**2 - 403*q + 1486*q + 3*q**3 + 165*q**2 = 0.
-19, 0
Let g(u) be the second derivative of 0 + 2/3*u**3 + 13/36*u**4 + 13*u + 5*u**2 - 1/18*u**5. Let p(h) be the first derivative of g(h). Factor p(i).
-2*(i - 3)*(5*i + 2)/3
Let g(w) be the third derivative of 2/35*w**7 - 2/15*w**6 + 0*w**3 + 1/3*w**4 + 0 + 0*w - 1/3*w**5 + 28*w**2. Find b, given that g(b) = 0.
-1, 0, 1/3, 2
Let x(z) be the second derivative of z**6/75 - 3*z**5/50 - 28*z + 1. Factor x(g).
2*g**3*(g - 3)/5
Let m(n) be the third derivative of n**8/588 + 2*n**7/147 + 3*n**6/70 + n**5/15 + n**4/21 + 6*n**2 + 1. Find b, given that m(b) = 0.
-2, -1, 0
Let z(i) be the first derivative of -4*i**3/3 + 62*i**2 + 720*i - 880. What is k in z(k) = 0?
-5, 36
Let d = -17/213 - -4259/5325. Let h = 46/75 + d. Factor -h*i + 4/3 + 1/3*i**2.
(i - 2)**2/3
Suppose 0*u + 5*u + 4*p = 15, 3*p - 9 = -3*u. Factor -4*b**3 + 439*b**2 + 20 - 454*b**2 - b**u.
-5*(b - 1)*(b + 2)**2
Let c = -43 + 46. Let u be c/(-12*1) + 55/20. Solve 0 - 4*d**3 + u*d**4 + d + 1/2*d**2 = 0.
-2/5, 0, 1
Let j(t) be the third derivative of 2/3*t**4 + 0*t + 1/336*t**8 + 19/120*t**6 - 1/30*t**7 - 2/3*t**3 - 9*t**2 + 0 - 5/12*t**5. Determine i, given that j(i) = 0.
1, 2
Solve -39/7*l - 66/7 - 3/7*l**2 = 0 for l.
-11, -2
Let i(w) = 9*w**3 + 3*w**2 - 6*w + 6. Let u(j) = 19*j**3 + 5*j**2 - 11*j + 13. Suppose 9*d = 85 - 31. Let l(s) = d*u(s) - 13*i(s). Factor l(z).
-3*z*(z - 1)*(z + 4)
Let x(w) = 3*w**3 - 4*w**2 - 11*w - 7. Let y(k) = -18*k**3 + 23*k**2 + 66*k + 42. Let v(t) = 34*x(t) + 6*y(t). Solve v(i) = 0.
-1, 7/3
Let v(k) be the third derivative of 13*k**8/84 + 2*k**7/7 + k**6/15 + 18*k**2 - k. Find t, given that v(t) = 0.
-1, -2/13, 0
Suppose -8 = -2*f - 4*t, -2*f + 0*f - t + 11 = 0. Suppose -2*z + f = 5*q + z, 3*q = -3*z + 6. Factor -2/7*w**2 - 2/7*w**3 + q*w + 0.
-2*w**2*(w + 1)/7
Factor -6*h**2 + 8120*h - 880 - 8480*h + 0*h**2 + 5*h**3 - 9*h**2.
5*(h - 11)*(h + 4)**2
Let u(l) be the first derivative of 9*l**4/8 + 2*l**3 + 3*l**2/4 + 292. Solve u(d) = 0 for d.
-1, -1/3, 0
Factor -5/2*j**2 - 5/2*j + 15.
-5*(j - 2)*(j + 3)/2
Factor 3 - 3*g**4 + 4*g**3 - g**4 + 7*g**4 - 3 - 4*g**2.
g**2*(g + 2)*(3*g - 2)
Suppose d = 10 - 8. Suppose 0 = b - d. Let j(a) = -a**2 + 2*a. Let i(l) = l**3 + l - 1. Let g(z) = b*j(z) - 2*i(z). Factor g(k).
-2*(k - 1)*(k + 1)**2
Let j(w) be the first derivative of -w**4/4 + w**3/2 + 13*w + 11. Let v(a) be the first derivative of j(a). Factor v(s).
-3*s*(s - 1)
Let o(v) be the third derivative of -7*v**5/54 - 23*v**4/54 + 16*v**3/27 + 127*v**2 - 1. Factor o(u).
-2*(5*u + 8)*(7*u - 2)/9
Let r(k) be the first derivative of -k**5/60 + k**4/6 - k**3/2 + k**2/2 + k - 40. Let z(f) be the second derivative of r(f). Find c, given that z(c) = 0.
1, 3
Let o(c) be the second derivative of -39*c**5/4 + 595*c**4/12 - 5*c**3 + 269*c. Find i such that o(i) = 0.
0, 2/39, 3
Let x be 4/(-58) - (-88)/1276. Factor 2*o**3 + 8/5*o**4 + 2/5*o**5 + 4/5*o**2 + 0*o + x.
2*o**2*(o + 1)**2*(o + 2)/5
Suppose 328 = 7*b - 141. Factor -47 + b - 45*y**2 + 0*y**3 - 10*y**3 + 15*y**4.
5*(y - 2)*(y + 1)**2*(3*y - 2)
Let i = 77 - 101. Let u be ((-1)/((-18)/i))/(8/(-18)). Let 2 + 7*p + 17/2*p**2 + 17/4*p**u + 3/4*p**4 = 0. Calculate p.
-2, -1, -2/3
Solve 0 - 24/5*u - 2/5*u**3 + 14/5*u**2 = 0.
0, 3, 4
Let t(m) be the third derivative of -m**5/120 + 7*m**4/6 - 196*m**3/3 - 83*m**2. Factor t(f).
-(f - 28)**2/2
Factor -14*b + 33*b + 0*b - 2*b**2 + 3*b**2.
b*(b + 19)
Let l(t) be the first derivative of -t**4/2 - t**3 - t**2/2 - 21. Let l(z) = 0. What is z?
-1, -1/2, 0
Suppose 3*y - 2*p - 23 = 0, 3 = -0*p - 3*p. Solve -3*g + y*g**3 + 8*g - 5*g**2 - 12*g**3 + 5 = 0 for g.
-1, 1
Factor 18/19*c**2 + 14/19*c**4 + 2/19*c**5 - 34/19*c**3 + 0 + 0*c.
2*c**2*(c - 1)**2*(c + 9)/19
Let d be ((-330)/(-12))/11 + 3 + -5. Suppose -3*u - 17 = s - 5, 2*s = -5*u - 20. Factor m**4 + 0*m**2 + s + d*m**3 + 0*m.
m**3*(2*m + 1)/2
Let w(d) = -3*d**2 - 2*d. Let g(b) = 10*b**2 + 6*b + 5. Let r(m) = 5*m**2 + 3*m + 2. Let l(f) = -6*g(f) + 15*r(f). Let c(y) = 4*l(y) + 21*w(y). Factor c(x).
-3*x*(x + 2)
Let w(s) be the second derivative of 0*s**4 + 1/100*s**5 - 1/50*s**6 + 0*s**2 + 6*s + 0*s**3 + 0 - 2/105*s**7. Factor w(t).
-t**3*(t + 1)*(4*t - 1)/5
Let g(y) = 2*y**2 - 11*y. Let p be g(5). Let v be (1/2)/(7/(-70)*p). Find q, given that 1/2*q - 1/2*q**4 - 1/2*q**3 + 3/2*q**2 - v = 0.
-2, -1, 1
Factor -96/5 - 48*d - 18/5*d**3 + 138/5*d**2.
-6*(d - 4)**2*(3*d + 1)/5
Let f(i) be the third derivative of i**7/70 - i**6/20 + i**5/20 + i**4/6 - 6*i**2. Let r(u) = u**4 - u**3 - u**2 - u. Let q(p) = 2*f(p) + 4*r(p). Factor q(x).
2*x*(x - 1)**2*(5*x + 2)
Let b(l) = -8*l - 1. Let c be b(-1). Suppose -8*u + c*u = -3. Factor 3/2*a + 3/2*a**3 + 0 - u*a**2.
3*a*(a - 1)**2/2
Suppose 3*n - 15 = 0, -2*b + n + 149 + 90 = 0. Let q = 125 - b. Suppose 2/13*o**q + 0*o + 0 + 0*o**2 = 0. Calculate o.
0
Let y be 2*(1 - 2)/(-8). Let f(o) = o**3 - 24*o**2 + 118*o + 222. Let i be f(10). What is t in y*t**i - 1/2 - 1/4*t = 0?
-1, 2
Let d(x) = -x**3 - x**2 + 18. Let k(u) = -3 + u - 4*u**2 - u**3 + 53 + 4 - 2*u**3. Let a(o) = 8*d(o) - 3*k(o). Factor a(q).
(q - 2)*(q + 3)**2
Suppose -8*k + 82 = 18. Let g(q) = -5*q + 42. Let u be g(k). Factor 3/5*l**u + 27/5 + 18/5*l.
3*(l + 3)**2/5
Let h = 246 + -246. Let x(f) be the third derivative of 0*f**4 + h*f + 1/504*f**8 + 1/90*f**5 - 1/315*f**7 + 0 - 1/180*f**6 + 0*f**3 + f**2. Factor x(a).
2*a**2*(a - 1)**2*(a + 1)/3
Let m(h) be the third derivative of h**6/150 + 2*h**5/75 - 13*h**4/10 + 48*h**3/5 + 2*h**2 + 35. Factor m(a).
4*(a - 3)**2*(a + 8)/5
Let i be -2*(-2 + (-2)/4). Suppose -4*v = -21 + i. Factor -3*j**4 - 4*j**3 - 4*j**3 - j**4 - v*j**2.
-4*j**2*(j + 1)**2
Let o(z) be the second derivative of z**4/12 - z**3/6 - z**2 + 20*z + 3. Let o(p) = 0. W