**4 + 8/9*y**3 + 0*y**2 + 0*y + 1. Factor p(u).
2*u**2*(u + 2)**2/3
What is o in -2/13 - 4/13*o**3 + 4/13*o + 2/13*o**4 + 0*o**2 = 0?
-1, 1
Let d(r) be the second derivative of r**7/63 - r**6/135 - r**5/30 + r**4/54 + 5*r. Suppose d(c) = 0. Calculate c.
-1, 0, 1/3, 1
Let j = 2 + -2. Let w = j + 0. Factor w - 1/4*h**2 + 1/2*h.
-h*(h - 2)/4
Find b, given that 8/7*b**5 - 8/7*b**3 - 2/7*b**2 + 0*b + 2/7*b**4 + 0 = 0.
-1, -1/4, 0, 1
Determine q so that 38/3*q**2 + 28/3*q + 25/3*q**3 + 8/3 + 8/3*q**4 + 1/3*q**5 = 0.
-2, -1
Let n(o) be the first derivative of -7/12*o**3 - 1/2*o**2 + 1/12*o**4 - 1 + 3*o + 7/40*o**5. Let c(m) be the first derivative of n(m). What is x in c(x) = 0?
-1, -2/7, 1
Let a(p) = -p**5 + p**2 + p + 1. Let i(n) = 7*n**5 - 24*n**4 + 21*n**3 - 4*n**2 + 2*n + 2. Let d(x) = 2*a(x) - i(x). Factor d(m).
-3*m**2*(m - 1)**2*(3*m - 2)
Let n be 2 + 0 + 30/(-21). Suppose -4*y - 14 = -2*u, -5*u + 5 = -0*u + 5*y. Factor 0*q**2 + n*q - 4/7*q**u - 2/7 + 2/7*q**4.
2*(q - 1)**3*(q + 1)/7
Let q = -8 + 11. Suppose 0 = q*s + d - 5, -3*s - 5*d + 25 = s. What is h in -2/3*h**4 + 2/3*h**2 + 2/3*h**3 - 2/3*h**5 + 0 + s*h = 0?
-1, 0, 1
Let m(o) be the third derivative of o**6/150 + 2*o**5/75 + o**4/30 - 11*o**2. Factor m(g).
4*g*(g + 1)**2/5
Let l(o) = -o**2 - 13*o - 40. Let s be l(-7). Let r(y) be the second derivative of y + 0*y**3 - 1/24*y**4 + 0*y**s + 0. Factor r(b).
-b**2/2
Let n(t) = t - 10. Let f be n(10). Suppose 0*r - 5*a = 3*r - 32, 0 = 4*r - 5*a + 4. Factor f - 6/5*d**3 - 2/5*d + 2/5*d**r + 6/5*d**2.
2*d*(d - 1)**3/5
Let f(k) be the third derivative of 0 + 1/3*k**3 + 0*k - 1/12*k**4 + 1/120*k**5 - k**2. Solve f(z) = 0 for z.
2
Let n(b) be the third derivative of -b**5/255 + b**4/68 + 2*b**3/51 - 5*b**2. Factor n(j).
-2*(j - 2)*(2*j + 1)/17
Let t be (-1)/(-4)*-119 + 0. Let g = t - -30. Factor -1/4*i**2 + g*i**3 - 1/4*i + 1/4.
(i - 1)**2*(i + 1)/4
Let b(s) be the third derivative of s**6/160 - s**5/80 - s**4/16 + 3*s**2. Factor b(l).
3*l*(l - 2)*(l + 1)/4
Let t(a) be the first derivative of 2*a**3/9 - 3. Factor t(v).
2*v**2/3
Let l(r) be the second derivative of 21*r**5/20 - 19*r**4/4 - 3*r**3 + 6*r. Factor l(a).
3*a*(a - 3)*(7*a + 2)
Let r(u) be the first derivative of u**3/18 - u**2/2 + 3*u/2 + 3. Factor r(w).
(w - 3)**2/6
Suppose -4 - 89 = -31*z. Let 1/2*c**z - 3/2*c**2 + 3/2 - 1/2*c = 0. Calculate c.
-1, 1, 3
Let g = -2/1095 + 3289/2190. Factor 0*y**3 + g*y**2 - 3/2*y**4 + 3/4*y - 3/4*y**5 + 0.
-3*y*(y - 1)*(y + 1)**3/4
Let v be 8/(-6)*12/(-8). Suppose 2*d + 3*m + 0 - 10 = 0, -2 = d - 2*m. Factor b**2 + b - b - d*b - 2*b**v.
-b*(b + 2)
Let r(c) = -25*c**2 - 14*c + 50. Let a(b) = 5*b**2 + 3*b - 10. Let k(p) = 11*a(p) + 2*r(p). Factor k(v).
5*(v - 1)*(v + 2)
Factor 3*g**2 - 3*g**4 + g + 3*g**3 - g - 3*g.
-3*g*(g - 1)**2*(g + 1)
Factor -4/5 + 6/5*w - 2/5*w**2.
-2*(w - 2)*(w - 1)/5
Let p be (-2)/(-7) - (-6)/126. Factor -1/3 - 2/3*a - p*a**2.
-(a + 1)**2/3
Let 1/3*t**5 + 0*t + 0*t**3 + 0 - 1/3*t**4 + 0*t**2 = 0. Calculate t.
0, 1
Let j be (-2)/4 + 58/4. Find k such that 5*k - 18*k**3 - 10*k**2 + 4*k - 4 + j*k**4 + 9*k = 0.
-1, 2/7, 1
Let t(q) = -39*q + 39. Let a(u) = 8*u - 8. Let i(l) = -24*a(l) - 5*t(l). Let w be i(2). Solve -13/6*b**4 - 1/3*b - w*b**3 + 13/6*b**2 + 0 + 10/3*b**5 = 0.
-1, 0, 1/4, 2/5, 1
Let b(n) = -4*n**3 + 4*n**2 - 8*n. Let f(s) = -s**3 + s**2 - 3*s. Let c(t) = -5*b(t) + 16*f(t). Factor c(q).
4*q*(q - 2)*(q + 1)
Let t(f) be the third derivative of -2/3*f**3 + 0 - 1/20*f**6 + f**2 + 1/105*f**7 + 1/4*f**4 + 1/30*f**5 + 0*f. Suppose t(v) = 0. Calculate v.
-1, 1, 2
Let o = 9212/495 - 167/9. Let k(g) be the second derivative of o*g**5 + 1/33*g**3 + 0*g**2 + 2/33*g**4 + 2*g + 0 + 1/231*g**7 + 4/165*g**6. Factor k(b).
2*b*(b + 1)**4/11
Factor 4/5*b**2 + 12/5*b + 8/5.
4*(b + 1)*(b + 2)/5
Let b = -13 + 25. Let k = 18 - b. Factor k*p - 3 - p**2 - 1 + p**2 - 2*p**2.
-2*(p - 2)*(p - 1)
Suppose -3*p = -3*l - 21, -2*p + 0*l + 22 = -4*l. Factor 3*x**p + 4*x**4 - 2*x**4 + x**3.
2*x**3*(x + 2)
Suppose -3*o + 20 = o. Let -5*s**2 + 2*s**o + 5*s**2 - 3*s**4 - 2*s**3 + 0*s**5 = 0. Calculate s.
-1/2, 0, 2
Suppose 5*r - 4*v + 3 = 0, 0*r - r - 2*v + 5 = 0. Let q be r/(-7) + (-14)/(-98). Factor q + 1/6*d + 1/6*d**2.
d*(d + 1)/6
Let r = -26 + 26. Let p(v) be the third derivative of r*v - v**2 - 1/30*v**6 + 0 + 1/6*v**3 + 1/12*v**4 - 1/20*v**5 + 2/105*v**7. What is m in p(m) = 0?
-1/2, 1
Let u(c) be the first derivative of 4 - 4*c + 8/3*c**3 - 7*c**2. Factor u(w).
2*(w - 2)*(4*w + 1)
Let i(q) be the first derivative of -q**7/280 + q**6/360 + q**5/60 - q**3 + 1. Let l(b) be the third derivative of i(b). Factor l(g).
-g*(g - 1)*(3*g + 2)
Factor 0*u**2 + 2/5*u**3 + 2/5*u**4 + 0 + 0*u.
2*u**3*(u + 1)/5
Let l(v) be the first derivative of 2*v**3/15 - v**2/5 - 10. Factor l(y).
2*y*(y - 1)/5
Let f(h) be the third derivative of h**8/1176 + 2*h**7/735 - h**6/210 - 2*h**5/105 + h**4/84 + 2*h**3/21 - 22*h**2. Solve f(l) = 0.
-2, -1, 1
Suppose -y - 2 + 7 = 0. Suppose -y*t + 4 = -6. Determine c so that 2*c + c**2 - c**4 - t*c - 3*c**5 + 3*c**3 = 0.
-1, -1/3, 0, 1
Let d(z) be the first derivative of -z**4/10 - 4*z**3/15 + z**2/5 + 4*z/5 - 7. Factor d(a).
-2*(a - 1)*(a + 1)*(a + 2)/5
Let u(i) = -20*i**5 - 18*i**4 - 2*i**3 - 2*i - 2. Let g(k) = -k**3 + k + 1. Let d(w) = -2*g(w) - u(w). Suppose d(p) = 0. What is p?
-1/2, -2/5, 0
Let g = -1048/5 + 210. Factor 0*n - g*n**3 + 0 + 2/5*n**5 - 2/5*n**2 + 2/5*n**4.
2*n**2*(n - 1)*(n + 1)**2/5
Let j(z) be the third derivative of 1/6*z**3 + 0*z - 5/48*z**4 - 4*z**2 + 0 + 1/30*z**5 - 1/240*z**6. Factor j(o).
-(o - 2)*(o - 1)**2/2
Let x = 23 - 23. Let w(j) be the second derivative of x*j**2 + 0 + 1/54*j**4 + 0*j**3 + j. Factor w(v).
2*v**2/9
Factor 4/3*o**2 - 32/3*o + 64/3.
4*(o - 4)**2/3
Factor 2 - 7 - 3*h**4 + 36*h + 18*h**3 - 7 - 39*h**2.
-3*(h - 2)**2*(h - 1)**2
Let a be (-11)/(-3) + (-9)/(-27). Find f, given that 180*f + 63*f**3 - 24 + 28*f**4 + 86*f**a - 366*f**2 + 0*f**4 + 33*f**4 = 0.
-2, 2/7, 1
Let j(m) be the second derivative of 0 - 1/21*m**7 - 1/3*m**3 + 1/12*m**4 + 3/10*m**5 - 2*m + 1/30*m**6 + 0*m**2. Solve j(x) = 0.
-1, 0, 1/2, 2
Let z = 35 - 33. Let d be (-4)/(-14) + (-1)/28. What is n in 1/4*n**3 - 1/2*n**z + 0 + d*n = 0?
0, 1
Let c(k) be the third derivative of -k**5/160 + 3*k**4/64 - k**3/8 - 2*k**2. Factor c(w).
-3*(w - 2)*(w - 1)/8
Let o = 18560/3 + -6126. Let b = o - 60. Determine j so that 2/3*j**3 - 4/3*j + 0 + b*j**2 = 0.
-2, 0, 1
Let a be 1*(-1 - 1)*(-16 + 15). Factor 1/4*m**a + m + 1.
(m + 2)**2/4
Let f = -19 - -19. Let s(q) be the third derivative of 1/60*q**6 + 0*q**3 + 1/15*q**5 + f + 1/12*q**4 + 0*q + q**2. Solve s(o) = 0 for o.
-1, 0
Let y(b) = 2*b**2 - 6. Let t(h) be the third derivative of -h**5/30 + h**4/24 + 7*h**3/6 - 7*h**2. Let c(a) = 2*t(a) + 3*y(a). Factor c(u).
2*(u - 1)*(u + 2)
Let p be 31/50 - 13/26. Let l(m) be the second derivative of 32/15*m**3 - 12/25*m**5 + 16/5*m**2 + 0 - 4/15*m**4 + p*m**6 - m. Find t such that l(t) = 0.
-2/3, 2
Let h(g) be the third derivative of -g**5/180 - 5*g**4/36 - 25*g**3/18 - 34*g**2. Let h(v) = 0. What is v?
-5
Solve 3/11*t**2 + 0 + 1/11*t**3 + 2/11*t = 0 for t.
-2, -1, 0
Let z be 1*(-5 + 0) + 1. Let n be (-2 + (-10)/z)*0. Find m, given that -m - 2 + m**2 + 0*m + n*m = 0.
-1, 2
Let g(z) be the first derivative of -z**4/28 - 2*z**3/21 - z**2/14 + 50. Factor g(j).
-j*(j + 1)**2/7
Suppose 6*p - 2*p = 12. Factor 1 - 9*c - 6 + 6*c**5 + 2 + 6*c**p + 9*c**4 - 3*c**5 - 6*c**2.
3*(c - 1)*(c + 1)**4
Solve -5*c**3 - 140*c**2 + 193*c - 888*c - 203*c - 82*c = 0 for c.
-14, 0
Let n(a) be the first derivative of -1/39*a**6 - 1/13*a**2 - 2/13*a + 4/39*a**3 - 2/65*a**5 + 7 + 1/13*a**4. Factor n(x).
-2*(x - 1)**2*(x + 1)**3/13
Let d(u) be the first derivative of 125*u**4 - 200*u**3 + 120*u**2 - 32*u - 28. Find l, given that d(l) = 0.
2/5
Let u(m) be the third derivative of -m**8/504 - m**7/315 + m**6/60 + m**5/18 + m**4/18 - 27*m**2. Factor u(z).
-2*z*(z - 2)*(z + 1)**3/3
Let o be ((-7)/4)/(2/8). Let d(g) = g + 2. Let k be d(o). Let l(q) = -q**2 - 7*q - 7. Let a(p) = 2*p**2 + 13*p + 13. Let j(t) = k*l(t) - 3*a(t). Factor j(b).
-(b + 2)**2
Let j(f) be the third derivative of 0*f**6 - f**2 + 0 + 0*f + 0*f**4 + 1/315*f**7 - 1/90*f**5 + 0*f**3. Determine q, given that j(q