) = 2*r**4 - 13*r**3 - 20*r**2 + 29*r - 19. Let a(c) = c**4 - 4*c**3 - 7*c**2 + 10*c - 6. Let g(b) = 7*a(b) - 2*j(b). Factor g(s).
(s - 1)**2*(s + 2)*(3*s - 2)
Let y(n) be the first derivative of -n**4/24 + 2*n**3/9 - n**2/4 + 24. Factor y(z).
-z*(z - 3)*(z - 1)/6
Suppose -3*d + 4*d - d**5 + 0*d - 2*d**2 + 0*d**4 + 2*d**4 = 0. Calculate d.
-1, 0, 1
Let t(v) be the second derivative of 1/40*v**5 - 1/24*v**3 - 3*v - 1/168*v**7 + 0 + 0*v**6 + 0*v**2 + 0*v**4. Factor t(f).
-f*(f - 1)**2*(f + 1)**2/4
Let h(a) be the third derivative of -2*a**2 + 1/350*a**7 + 0 - 1/100*a**6 + 1/560*a**8 + 1/40*a**4 + 1/10*a**3 - 1/50*a**5 + 0*a. Let h(f) = 0. Calculate f.
-1, 1
Let s(a) be the first derivative of -4*a**6/15 + a**4/10 - 6. Determine u, given that s(u) = 0.
-1/2, 0, 1/2
Let r = 218 - 1087/5. Find q such that 6/5 - r*q - 3/5*q**2 = 0.
-2, 1
Suppose h + 4 - 7 = 0. Factor -5*u + 6*u + 6*u - u + h*u**2.
3*u*(u + 2)
Let w = 61 - 43. Let n be 1/(-2)*w/(-3). Factor -x + 2*x**2 + x**n - 3*x**2 + 0*x**3 + x**4.
x*(x - 1)*(x + 1)**2
Let g(i) = i**2 + 8*i. Let a be g(-8). Let y be (-3)/(-12) - (0 - 0). Suppose -1/4*q**3 + 0 + a*q - y*q**2 = 0. Calculate q.
-1, 0
Let h = 18 + -16. Let g be (-20)/35*(-7)/h. Factor 2/3*w**3 + 0 + 2/3*w - 4/3*w**g.
2*w*(w - 1)**2/3
Let r(j) = j**2 - 6*j + 5. Let h be r(5). Factor -o - 7*o**4 + h*o + 8*o**2 - 1 - 2*o**3 + 4*o**5 - o.
(o - 1)**3*(o + 1)*(4*o + 1)
Let c(v) be the third derivative of v**5/60 + v**4/12 - v**3/2 - 32*v**2. Factor c(p).
(p - 1)*(p + 3)
Suppose 4 - 5*g - 3*g + 8*g**2 - 4*g**2 = 0. What is g?
1
Let z(c) be the first derivative of -c**4/22 + c**2/11 + 53. Factor z(a).
-2*a*(a - 1)*(a + 1)/11
Let f = 72 + -68. Let t be 0 - 2 - -2 - -2. What is d in -10/7*d**t + 0 - 6/7*d**f - 2*d**3 - 2/7*d = 0?
-1, -1/3, 0
Suppose 2 = 3*s - 7. What is d in -s + 3 + 0*d**3 + 3*d**2 - 3*d**3 = 0?
0, 1
Let -9*u**3 - 3/4*u**2 - 3 + 15/4*u**4 + 9*u = 0. What is u?
-1, 2/5, 1, 2
Let q = 4/17 - 3/85. Let y(w) be the first derivative of q*w**2 + 1/10*w**4 + 0*w + 2 + 4/15*w**3. Determine j so that y(j) = 0.
-1, 0
Let o(g) = -g**3 - 12*g**2 - 14*g - 33. Let v be o(-11). Let i(k) be the third derivative of v*k**3 - k**2 + 1/96*k**4 + 1/240*k**5 + 0 + 0*k. Factor i(f).
f*(f + 1)/4
Suppose 3*w = -4*g - 7, 3*w + 2*g + 0 = 1. Factor 2/5 - 2/5*p - 2/5*p**2 + 2/5*p**w.
2*(p - 1)**2*(p + 1)/5
Let t(g) be the first derivative of -7/6*g**6 + 3 + 2/5*g**5 + 7/2*g**4 - 7/2*g**2 - 4/3*g**3 + 2*g. Find a, given that t(a) = 0.
-1, 2/7, 1
Factor -20*c**2 + 22 + 24*c**2 - 4*c**3 + 4*c - 26.
-4*(c - 1)**2*(c + 1)
Suppose 4*p = 2*m + 4, -5*p + 10 = -0*p. Suppose -2*f + 7 = 3. Factor -4*t**2 - 2 - 2*t + 6 + f*t**m.
-2*(t - 1)*(t + 2)
Let b(s) be the third derivative of -s**9/60480 + s**7/5040 - s**5/480 + s**4/24 + 2*s**2. Let r(q) be the second derivative of b(q). Factor r(z).
-(z - 1)**2*(z + 1)**2/4
Let n = -1134 + 136081/120. Let r(q) be the third derivative of -1/24*q**4 + n*q**6 - 1/6*q**3 - q**2 + 1/60*q**5 + 0*q + 0. Determine j so that r(j) = 0.
-1, 1
Let v(j) = 3*j**3 - 3*j**2 + 2*j - 2. Let i(k) = -4*k**3 + 4*k**2 - 3*k + 3. Suppose -30 = -4*q - q. Let w(n) = q*v(n) + 4*i(n). Suppose w(y) = 0. Calculate y.
0, 1
Let y(f) = f. Let j be y(5). Let v(o) be the third derivative of -1/96*o**4 - 1/240*o**j + 0*o**3 + 0 + 0*o - o**2. Factor v(c).
-c*(c + 1)/4
Suppose -4*j = -11 + 3. Suppose -4*y - 2*t = -6*t - 16, 3*y + 5*t = -20. Factor y + n - 7/2*n**j.
-n*(7*n - 2)/2
Let t(y) be the first derivative of 3*y**2 + 3*y - 1. Let n(h) = h**2 - 5*h - 2. Let d(p) = -3*n(p) - 4*t(p). Solve d(x) = 0.
-2, -1
Let a(r) be the third derivative of -r**5/150 + r**4/30 - 14*r**2. Factor a(q).
-2*q*(q - 2)/5
Let v = 40 - 35. Let t(n) be the third derivative of -3*n**2 + 0*n**4 + 0 - 1/60*n**v + 0*n**3 + 0*n. Suppose t(l) = 0. Calculate l.
0
Let f(m) = -m**4 - m**3 - m**2 + m. Let a(n) = -4*n**4 - 3*n**3 - 6*n**2 + 3*n. Let j(w) = 3*a(w) - 15*f(w). Factor j(r).
3*r*(r - 1)*(r + 1)*(r + 2)
Let a(i) be the second derivative of 0*i**5 + 0 + 0*i**3 - 1/90*i**6 - 1/6*i**2 + 1/18*i**4 + 2*i. Determine v so that a(v) = 0.
-1, 1
Let n(x) be the third derivative of x**7/4200 - x**6/1200 + x**4/6 + 3*x**2. Let p(d) be the second derivative of n(d). Solve p(b) = 0 for b.
0, 1
Factor -18 - 1 + 36*w + 3 + 10*w**2.
2*(w + 4)*(5*w - 2)
Suppose -3*f - f + 40 = 0. Let s = 10 - f. Factor -2/7*k**3 + 0*k + 2/7*k**4 + s - 2/7*k**2 + 2/7*k**5.
2*k**2*(k - 1)*(k + 1)**2/7
Let m be 12/(-2)*(-14)/42. Find i such that 0*i + 2/17*i**m - 2/17 = 0.
-1, 1
Let m(t) be the second derivative of t**6/24 - 17*t**5/80 + t**4/3 - t**3/6 + 7*t. Factor m(o).
o*(o - 2)*(o - 1)*(5*o - 2)/4
Let d be (16 + -16)/(-1 + 4). Let s(n) be the second derivative of d*n**3 + 1/36*n**4 + 2*n + 0 + 1/60*n**5 + 0*n**2. Find u, given that s(u) = 0.
-1, 0
Let d(n) be the first derivative of 1/24*n**4 + 3 + 0*n**5 - 1/360*n**6 - 2/3*n**3 + 0*n**2 + 0*n. Let x(l) be the third derivative of d(l). Factor x(h).
-(h - 1)*(h + 1)
Let p(r) be the third derivative of r**8/504 - r**6/180 - 27*r**2. Determine t, given that p(t) = 0.
-1, 0, 1
Let v(m) be the third derivative of m**6/660 - m**5/165 + m**4/132 - 5*m**2. What is n in v(n) = 0?
0, 1
Let f(b) = -b**5 + 3*b**4 + b**3 - 5*b**2. Let t(i) = -11*i**2 + i**3 + 6*i**4 + 43*i - 43*i - i**5. Let g(v) = -5*f(v) + 2*t(v). Suppose g(r) = 0. Calculate r.
-1, 0, 1
Let t(o) be the first derivative of 5*o**8/336 + o**7/30 - o**6/40 - 7*o**5/60 - o**4/12 + o**2/2 + 2. Let l(m) be the second derivative of t(m). Factor l(h).
h*(h - 1)*(h + 1)**2*(5*h + 2)
Let n(i) be the first derivative of 0*i - 7/8*i**4 + 3 - 1/2*i**2 - i**3 - 1/4*i**5. Let w(g) be the second derivative of n(g). Factor w(l).
-3*(l + 1)*(5*l + 2)
Factor 1/3*b**5 + 0*b**2 + 1/3*b**4 + 0*b + 0 + 0*b**3.
b**4*(b + 1)/3
Find y such that 7/2*y**4 + y**3 + 0 + 0*y + 0*y**2 = 0.
-2/7, 0
Factor -2*b + 0*b - 4*b**2 + 0*b**2 + b**2 - b**3.
-b*(b + 1)*(b + 2)
Solve q**2 - 1/3*q**3 + 0 - q**4 + 2/3*q - 1/3*q**5 = 0 for q.
-2, -1, 0, 1
Let j(c) = 9*c**4 - 15*c**3 + 7*c**2 + 31*c. Let b(s) = -10*s**4 + 14*s**3 - 6*s**2 - 30*s. Let k(w) = 5*b(w) + 6*j(w). Find m such that k(m) = 0.
-1, 0, 3
Let y(q) = -10*q - 3*q**2 + q**2 - q + 0*q. Let f = -6 - -2. Let t(d) = d**2 + 5*d. Let x(h) = f*y(h) - 9*t(h). Let x(c) = 0. What is c?
-1, 0
Suppose -707*o + 2*o**2 + 320*o + 353*o + 34*o**3 + 10*o**4 - 12 = 0. Calculate o.
-3, -1, -2/5, 1
Suppose -8*c = -5*c + 384. Let m = -380/3 - c. Determine y so that 3*y**4 + m*y**2 + 0*y - 4*y**3 + 0 = 0.
0, 2/3
Factor 8/7 + 162/7*t**2 - 72/7*t.
2*(9*t - 2)**2/7
Let w(p) be the second derivative of p**6/120 - p**5/40 + p**4/48 + 18*p. Solve w(r) = 0 for r.
0, 1
Let o be 13/(2535/282) + (-8)/(-52). Factor -4/5*p**3 + 0 + o*p**2 - 4/5*p.
-4*p*(p - 1)**2/5
Factor -2*q - 3513*q**5 + 2*q + 2*q**4 + 4*q**3 + 3511*q**5.
-2*q**3*(q - 2)*(q + 1)
Let g be (-16)/(-6)*6/4. Solve 3*i - 15*i**g - 21*i**2 - 12*i**3 + 3*i + 39*i**3 + 3*i**5 = 0 for i.
0, 1, 2
Suppose -6*y + 9 = -3*y. Suppose 0 = 5*q - s - 8, -4*s + 4 = 4*q - 6*q. Suppose 2*w**3 - 3*w**y + 3*w**q - w**2 - w = 0. What is w?
0, 1
Let p(g) be the second derivative of -g**6/30 + 3*g**5/20 - g**4/4 + g**3/6 - 2*g. Factor p(d).
-d*(d - 1)**3
Let u(k) be the second derivative of k**7/252 + k**6/45 + k**5/30 - 7*k. What is v in u(v) = 0?
-2, 0
Suppose 0 = -12*p + 7*p. Let f(m) be the third derivative of 1/420*m**7 + 0*m**4 + m**2 + 0 - 1/240*m**6 + p*m + 0*m**3 + 0*m**5. Let f(i) = 0. What is i?
0, 1
Let -4/3 + 1/3*x**3 + 0*x + x**2 = 0. What is x?
-2, 1
Let r(o) = -36*o + 6. Let d be r(-3). Let j = 802/7 - d. Factor 2/7*w**3 - j*w**2 + 2/7*w + 0.
2*w*(w - 1)**2/7
Let s(f) = 6*f - 2. Let k be s(-3). Let u be (-34)/(-35) - (-8)/k. Suppose -6/7*v**3 + 0 + 0*v - 4/7*v**4 + 6/7*v**5 + u*v**2 = 0. Calculate v.
-1, 0, 2/3, 1
Let x(l) be the second derivative of -4*l**5/35 - 13*l**4/21 - 22*l**3/21 - 4*l**2/7 + 6*l. Factor x(b).
-4*(b + 1)*(b + 2)*(4*b + 1)/7
Let x(u) = 4*u**5 + 6*u**4 - 6*u**3 - 8*u**2 + 4*u + 6. Let h(p) = -p**4 - p**3 - 1. Let v(w) = -2*h(w) - x(w). Factor v(z).
-4*(z - 1)**2*(z + 1)**3
Let b(a) be the first derivative of 5*a**4/4 - 5*a**2/2 - 20. Factor b(x).
5*x*(x - 1)*(x + 1)
Let a(b) be the third derivative of b**5/30 + b**4/12 - 11*b**2. Factor 