+ 0. Factor r(c).
-(c - 1)**3*(c + 1)
Factor -6/5*g**4 + 0*g**3 + 6/5*g**2 - 3/5*g**5 + 0 + 3/5*g.
-3*g*(g - 1)*(g + 1)**3/5
Let z(q) = 2*q**2 + 4*q + 2. Let o be z(-2). Determine d so that 0 - 3*d**3 - 1/2*d**o + d = 0.
-2/3, 0, 1/2
Let m be -3 - -2 - (-15)/10. Factor 1/2*i**4 + 0*i**2 + i - m - i**3.
(i - 1)**3*(i + 1)/2
Let d = -22 + 28. Suppose 0 = 3*v + 2*v - 25. Factor 2*h**2 - v*h**2 + d - 24 - 12*h + h**2.
-2*(h + 3)**2
Factor 19*y - 9 - y**2 - 26*y + 13*y.
-(y - 3)**2
Suppose -l + 3*o + 0*o = 10, 0 = -2*l - o + 8. Let n be -5*(14/10 - l). Let -n*t - 4*t + t**2 + 6*t = 0. Calculate t.
0, 1
Let l be 3/((-8640)/(-4)) + 1 + -1. Let t(u) be the third derivative of l*u**6 + 0*u - 3/4*u**3 + 0 + 3*u**2 + 3/16*u**4 - 1/40*u**5. Factor t(v).
(v - 3)**3/6
Suppose 0 = -4*q - 5 - 3, -m + 2*q + 6 = 0. Factor 2/3*k**3 + 1/3*k**4 - 1/3*k - 2/3*k**m + 1/3 - 1/3*k**5.
-(k - 1)**3*(k + 1)**2/3
Let y(w) = -w**2 - 2. Suppose -3*v = -0*g + 3*g + 15, 0 = -4*v + 4*g - 4. Let o(l) = -2 - 3 + 4. Let b(a) = v*o(a) + y(a). Suppose b(f) = 0. What is f?
-1, 1
Let n be ((-2)/(-8))/((-180)/(-1152)). Factor 0*z - 4/5*z**2 + n*z**4 - 6/5*z**5 + 0 + 2/5*z**3.
-2*z**2*(z - 1)**2*(3*z + 2)/5
Let h(y) be the first derivative of -2*y**3 - y**4 - y - 3 - 1/5*y**5 - 2*y**2. Factor h(m).
-(m + 1)**4
Let f be -4*(6/4 - 2). Let v = -1 + 3. Let -f*q**2 - 1 + 6*q**v - 2*q - q**2 = 0. What is q?
-1/3, 1
Factor -2/3*d**3 + 3*d**4 + 0 + 0*d**2 + 11/3*d**5 + 0*d.
d**3*(d + 1)*(11*d - 2)/3
Let x(t) be the first derivative of 0*t + t**4 + 0*t**2 - 3 - 4/3*t**3. Factor x(q).
4*q**2*(q - 1)
Let o be (1 - 0)/((-1)/(-2)). Let j = -54 - -56. Factor l + 0*l + 3*l**o + 3 + 0*l**j + 5*l.
3*(l + 1)**2
Suppose 5 = -2*g + 1. Let w be g + 6 - (1 - -1). Find a such that 16*a**2 + 4 + 25*a**3 + 12*a**2 + 24*a + 17*a**w = 0.
-1, -2/5
Let p(n) be the first derivative of -1/15*n**3 + 0*n + 0*n**2 - 1. Let p(f) = 0. Calculate f.
0
Let y = 249 - 12449/50. Let v(r) be the second derivative of y*r**5 - 3*r + 1/30*r**4 + 0 - 1/5*r**2 - 1/15*r**3. Factor v(j).
2*(j - 1)*(j + 1)**2/5
Let r(j) be the first derivative of -3/4*j**2 - 8 + j + 1/8*j**4 + 0*j**3. Determine c, given that r(c) = 0.
-2, 1
Let g(t) be the first derivative of -t**4/6 + 4*t**3/9 - t**2/3 + 2. Let g(k) = 0. What is k?
0, 1
Let x(c) be the first derivative of c**5/5 - c**4/2 - c**3/3 + c**2 - 15. Let x(m) = 0. Calculate m.
-1, 0, 1, 2
Let p be (8/(-70))/(5/(-50)). Let s = 933/7 - 133. Let -p - s*v**2 - 8/7*v = 0. Calculate v.
-2
Let s be 40/(-390)*-5*4. Let c = -18/13 + s. Solve -2/3*p**3 + c + 2/3*p - 2/3*p**2 = 0.
-1, 1
Let a(s) = -23*s**4 - 38*s**3 - 7*s**2 + 8*s + 3. Let t(k) = 275*k**4 + 455*k**3 + 85*k**2 - 95*k - 35. Let r(o) = -35*a(o) - 3*t(o). Let r(b) = 0. Calculate b.
-1, 0, 1/4
Let i(o) be the second derivative of 0 + 1/36*o**4 - 1/6*o**3 + 1/3*o**2 - 3*o. Solve i(q) = 0.
1, 2
Suppose 72 = -5*j - 3*u, -17 = -4*j - 3*u - 74. Let r be (-42)/(-10) - (-3)/j. Factor 4*d**2 + r*d - 8*d**2 - 2*d**2.
-2*d*(3*d - 2)
Find h, given that -10/7*h**4 + 18/7*h**2 + 4/7*h + 0 - 12/7*h**3 = 0.
-2, -1/5, 0, 1
Suppose -y + u - 5 = -0*y, -u = y - 5. Find d, given that 0*d + y - 1/2*d**2 = 0.
0
Let u(h) = -4*h**2 + 6 + 11*h + 0 - 2 + 7*h**3. Let t(p) = 6*p**3 - 4*p**2 + 10*p + 3. Let l(w) = -6*t(w) + 5*u(w). Factor l(s).
-(s - 2)*(s - 1)**2
Let g = -10 - -13. Let f(a) be the first derivative of -a**2 - 2 + 2/3*a**g + 0*a. Factor f(q).
2*q*(q - 1)
Suppose 13*p - 12*p - 2 = 0. Suppose 3*y = p*y. Factor y - 2/3*l**2 + 1/3*l**3 + 1/3*l.
l*(l - 1)**2/3
Let y be (-2)/(-6) - (-24)/36. Let s(q) be the first derivative of -1/3*q**3 + 0*q**2 + 1/4*q**4 - y + 0*q. Factor s(p).
p**2*(p - 1)
Factor -3/2 - 3/4*w**2 + 9/4*w.
-3*(w - 2)*(w - 1)/4
Let f(a) = -9*a**2 + 13*a - 9. Let h(z) = -14*z**2 + 20*z - 14. Let p(k) = 8*f(k) - 5*h(k). Factor p(r).
-2*(r - 1)**2
Let k be (6/(-10))/((-6)/4). Let w be 1 + -1 - 14/(-35). Factor 0 + 0*z - w*z**2 - k*z**3.
-2*z**2*(z + 1)/5
Find v such that 2/7*v**2 + 6/7*v - 8/7 = 0.
-4, 1
Factor -4*u + 3 - 3 + 9*u**3 - 8*u + 3*u**4.
3*u*(u - 1)*(u + 2)**2
Let m(s) = 9*s**3 + 79*s**2 + 244*s - 320. Let a(i) = i**3 + i**2 + i. Let q(l) = 4*a(l) - m(l). Factor q(d).
-5*(d - 1)*(d + 8)**2
Solve 4/17*s**4 - 4/17*s**2 - 2/17*s**3 + 0*s + 0 + 2/17*s**5 = 0.
-2, -1, 0, 1
Let g(l) be the second derivative of l**6/30 - l**5/40 - l**4/12 + l**3/12 - 19*l. Factor g(s).
s*(s - 1)*(s + 1)*(2*s - 1)/2
Suppose -2*l = 2*r + 3*l - 11, 3*r + 4*l - 13 = 0. Determine c so that -3*c**r - 2*c**2 + c**2 + c**2 + 3*c - 3*c**4 + 3*c**2 = 0.
-1, 0, 1
Let n = 15 - 22. Let g be (6/(-21))/(4/n). Suppose g*t + 1/2 - 1/2*t**2 - 1/2*t**3 = 0. Calculate t.
-1, 1
Let o = 31537/48 + -657. Let j(h) be the second derivative of -2*h + o*h**4 + 0 + 1/12*h**3 + 1/8*h**2. Factor j(z).
(z + 1)**2/4
Solve 4*a**2 + 4*a**2 - 24 - a**2 - 12*a + 3*a**3 - a**2 = 0 for a.
-2, 2
Let z(k) be the first derivative of -k**4/6 + 8*k**3/3 - 16*k**2 + 4*k - 2. Let s(q) be the first derivative of z(q). Find u, given that s(u) = 0.
4
Let d(g) be the third derivative of -1/48*g**4 + 0 + 0*g - 1/6*g**3 - 4*g**2 + 1/120*g**5. Factor d(t).
(t - 2)*(t + 1)/2
Let h be 7/70*(3 + -2). Let y(l) be the first derivative of -2 + 0*l**2 + 0*l - 2/15*l**3 + h*l**4. Solve y(s) = 0.
0, 1
Let q(c) be the third derivative of -1/156*c**4 + 1/78*c**5 + 3*c**2 + 1/455*c**7 + 0 + 0*c + 0*c**3 - 7/780*c**6. Find y such that q(y) = 0.
0, 1/3, 1
Let q be (-54)/8 + (-2)/8. Let x = -47/7 - q. What is c in -2/7*c - x*c**2 + 4/7 = 0?
-2, 1
Suppose 0 = 2*c - 4*c + 6. Let d be ((-3 - 0)/1)/(-1*4). Factor 3/4*r**2 + d*r + 1/4*r**c + 1/4.
(r + 1)**3/4
Suppose -4*r - r + 10 = 0. Let n(m) be the third derivative of 0*m + 0 + 1/60*m**5 + 1/24*m**4 + 0*m**3 - r*m**2. Suppose n(s) = 0. Calculate s.
-1, 0
Suppose -5 = 13*w - 31. Factor 10/3*m**w - 4/3*m + 0.
2*m*(5*m - 2)/3
Let r(o) be the first derivative of 2*o**5/75 - 2*o**3/45 - 61. Solve r(h) = 0.
-1, 0, 1
Suppose 0 = v + 3*g + 2 + 2, -3*g + 12 = -3*v. Let p = v - -6. Factor -3*j**5 - 3*j**2 - 6*j**2 + 3*j**p + j - 4*j**3 + 2 + 6*j**5 + 4*j**4.
(j - 1)*(j + 1)**3*(3*j - 2)
Factor 2/5*j**3 + 0 + 2/5*j**2 + 0*j.
2*j**2*(j + 1)/5
Let q = 62 - 432/7. Factor 6/7*v**2 + 6/7*v**3 + q*v + 0 + 2/7*v**4.
2*v*(v + 1)**3/7
Let k(u) be the second derivative of u**4/20 - 3*u**2/10 + 3*u. Determine z so that k(z) = 0.
-1, 1
Let v(y) be the first derivative of -3 - 1/6*y**2 + 0*y + 0*y**3 + 1/12*y**4. Factor v(r).
r*(r - 1)*(r + 1)/3
Factor 4*n**2 + 4*n**2 - 7*n**4 - 5*n**4 + 4 + 8*n**3 + 0 - 12*n + 4*n**5.
4*(n - 1)**4*(n + 1)
Let o(l) be the second derivative of l**4/6 + 2*l**3/3 + l**2 + 3*l. Factor o(p).
2*(p + 1)**2
Let m = 17 + -17. Suppose y + 1 - 3 = m. Factor -2/7 + 2/7*x - 2/7*x**3 + 2/7*x**y.
-2*(x - 1)**2*(x + 1)/7
Let l(n) = n**3 - 2*n**2 - n + 7. Let p(t) = 2*t**2 - 6. Let z(q) = -4*l(q) - 5*p(q). Factor z(y).
-2*(y - 1)*(y + 1)*(2*y + 1)
Solve -q + 1/2*q**3 - 1/4*q**4 + 3/4*q**2 - 1 = 0.
-1, 2
Determine x so that 17*x**4 + 104*x**2 - 17*x - 17*x + 4 - 24*x**5 - 140*x**3 + 67*x**4 + 6*x**5 = 0.
1/3, 1, 2
Suppose 6 = 4*v - 3*p, 3*v - 3*p = 2*v - 3. Factor 8/7*x**2 + 2/7*x**v + 4/7 + 10/7*x.
2*(x + 1)**2*(x + 2)/7
Let g(c) be the first derivative of 3*c**5/35 - 3*c**3/7 - 3*c**2/7 + 5. Let g(l) = 0. Calculate l.
-1, 0, 2
Let x(v) = v**2 + 6*v - 4. Let i be x(-7). Let -4*g**i + 3*g**3 + g**3 + 4*g**3 = 0. What is g?
0
Let h = 12 + -9. Let r(p) be the first derivative of -1/5*p**5 + 0*p + 0*p**h + 1/4*p**4 - 3 + 0*p**2. Solve r(s) = 0.
0, 1
Let z(g) = 2*g**3 - g**2 + 3*g - 3. Let j(p) = 5*p**3 - 3*p**2 + 7*p - 7. Let u(b) = 3*j(b) - 7*z(b). Factor u(w).
w**2*(w - 2)
Solve 42/5*g - 18/5 + 6/5*g**3 + 34/5*g**2 = 0 for g.
-3, 1/3
Let u(b) be the third derivative of -b**5/36 + 5*b**4/24 - 5*b**3/9 + 6*b**2. Factor u(k).
-5*(k - 2)*(k - 1)/3
Solve 12554 - 12554 + 24*v - 9*v**3 + 69*v**2 = 0.
-1/3, 0, 8
Let c(y) be the third derivative of -y**6/360 + y**5/180 + 5*y**4/72 + y**3/6 + 15*y**2. Factor c(q).
-(q - 3)*(q + 1)**2/3
Let s = -7 - -57/8. Let n(v) be the first derivative of 1/6*v**3 - s*v**2 - 1 + 0*v - 1/16*v**4. Factor n(a).
-a*(a - 1)**2/4
Factor 22/9*x**3 - 4/9 - 10/3*x**2 - 2/3*x**4 + 2*x.
-2*(x - 1)**3*(3*x - 2)/9
Factor 0*m**3 - m**2 + 1/2*m**4 + 1/2 + 0*m.
(m - 1)**