 the third derivative of z(m). Factor u(p).
2*p**3/5
Let q(n) be the third derivative of n**5/30 + 5*n**4/12 + 4*n**3/3 + 26*n**2. Factor q(t).
2*(t + 1)*(t + 4)
Factor 3/4 + 3/2*q + 3/4*q**2.
3*(q + 1)**2/4
Let o(a) be the second derivative of a**7/2520 + a**6/1080 - 2*a**3/3 + 5*a. Let w(v) be the second derivative of o(v). Factor w(k).
k**2*(k + 1)/3
Let u = -361 + 363. Solve 0*p + 0 + 3/5*p**3 + 0*p**u = 0 for p.
0
Let c(v) = -v**3 - 2*v**2 + v + 4. Let u be c(-2). Suppose -u*t = t - 6. Determine x so that 1/5*x + 2/5 - 1/5*x**t = 0.
-1, 2
Suppose -2*l + 6 = 5*t - 8, 2*l - 6 = -t. Let m be 2/1 - (-6)/3. Suppose -s**4 - 3*s**3 + 3*s - s**2 + 4*s**m - 2*s**l = 0. What is s?
-1, 0, 1
Let r(c) = -24*c**2 - 49*c - 17. Let w(u) = 12*u**2 + 25*u + 8. Suppose 2*n + 4 - 14 = -3*x, 0 = 2*n - 4*x + 4. Let f(t) = n*r(t) + 5*w(t). Factor f(g).
3*(g + 2)*(4*g + 1)
Let x(c) be the third derivative of c**6/135 - c**5/54 + c**4/108 + 25*c**2. Factor x(l).
2*l*(l - 1)*(4*l - 1)/9
Let u(c) be the third derivative of -c**8/672 + c**6/80 - c**5/60 + 9*c**2. Find p such that u(p) = 0.
-2, 0, 1
Let q(z) be the second derivative of 5*z**4/4 + 10*z**3/9 - 30*z. Factor q(o).
5*o*(9*o + 4)/3
Factor 297 - 44*i**2 - 16*i**3 - 3*i**4 - 48*i - 315 + i**4.
-2*(i + 1)**2*(i + 3)**2
Let z be 1/5 + (-2)/(-15). Factor 0*j**2 + 0*j + z*j**5 + 1/3*j**4 - 2/3*j**3 + 0.
j**3*(j - 1)*(j + 2)/3
Let n = -25/51 + 14/17. Let c be (-1)/6 + 1/2. Let -c*z + 2/3*z**3 + 0 + n*z**2 = 0. Calculate z.
-1, 0, 1/2
Let t(x) be the third derivative of -x**7/1050 + x**6/360 - x**5/300 - x**4/8 - 2*x**2. Let n(p) be the second derivative of t(p). Factor n(y).
-2*(2*y - 1)*(3*y - 1)/5
Let d(a) = -2*a**2 - 12*a. Let b be d(-6). Let b*r**2 + 0*r - 1/2*r**4 + 1/2*r**3 + 0 = 0. Calculate r.
0, 1
Let j = 62 - 38. Let m be ((-2)/12)/((-3)/j). Find a such that -2/3*a**2 + 0 + 0*a - m*a**3 = 0.
-1/2, 0
Let b(v) = -v**4 + v**3 - v + 1. Let z(h) = -9*h**2 + 1 - 20*h**3 + 9 + 6*h + 18*h**3 + 3*h**2. Let l(t) = 2*b(t) - z(t). Factor l(y).
-2*(y - 2)**2*(y + 1)**2
Suppose -4*b - 1 - 3 = 0. Let a(f) = -f - 1. Let p be a(b). Let 0*y - 1/5*y**2 - 1/5*y**4 + 2/5*y**3 + p = 0. Calculate y.
0, 1
Let b(j) be the third derivative of j**7/504 + 17*j**6/720 + j**5/20 - j**4/8 - 7*j**2. Let w(a) be the second derivative of b(a). Determine h so that w(h) = 0.
-3, -2/5
Let r = 2 - -8. Let l be r - 8 - (-7)/(-4). Factor -l - 1/2*q - 1/4*q**2.
-(q + 1)**2/4
Let z(b) be the third derivative of b**7/840 - b**6/720 - b**5/240 - 5*b**3/6 + 2*b**2. Let g(l) be the first derivative of z(l). Factor g(n).
n*(n - 1)*(2*n + 1)/2
Let b = -144/31 - -319/62. Find v, given that -15/2*v**2 + 8*v**3 + 3/4*v**5 + 13/4*v - 4*v**4 - b = 0.
1/3, 1, 2
Let i(d) be the first derivative of 2 + 3/2*d**2 + 9/2*d + 1/6*d**3. Suppose i(y) = 0. Calculate y.
-3
Let -8/13*r**2 - 4/13 - 2/13*r**3 - 10/13*r = 0. What is r?
-2, -1
Let b(h) = -h**3 + 2*h**2 + 5*h - 2. Let d(y) = -6*y**3 + 15*y**2 + 36*y - 15. Let f(s) = -15*b(s) + 2*d(s). Factor f(j).
3*j*(j - 1)*(j + 1)
Let x = -12 + 109/9. Let h(q) be the second derivative of 2*q - x*q**3 + 0 + 1/18*q**4 + 0*q**2. Factor h(c).
2*c*(c - 1)/3
Let p(k) = -k**2 - k - 1. Let l = 3 + -5. Let t(i) = 1 + 6 + 3*i - 3 + 4*i**2. Let b(u) = l*t(u) - 10*p(u). Determine x, given that b(x) = 0.
-1
Suppose -3*s + 5*a = -1, -2 = -a - a. Determine y so that -4/13*y**3 + 6/13*y**4 - 4/13*y**s - 2/13 - 2/13*y**5 + 6/13*y = 0.
-1, 1
Let a(q) = q**3 + 7*q**2 + q + 7. Suppose 0 = -4*d - 10 - 18. Let t be a(d). Let 0*r**3 + t*r**2 + 0 + 1/2*r**4 + 0*r = 0. Calculate r.
0
Let g(m) be the first derivative of 5*m**6/6 + 7*m**5 + 95*m**4/4 + 125*m**3/3 + 40*m**2 + 20*m + 11. Factor g(f).
5*(f + 1)**3*(f + 2)**2
Let k(c) = c**2 + 11*c + 5. Let d be k(-11). Let x = -5 + d. Factor 0*s**2 + 0 + 4/3*s**3 + x*s - 10/3*s**4.
-2*s**3*(5*s - 2)/3
Let s(a) = -2*a**3 - 19*a**2 + 14*a + 42. Let i be s(-10). What is b in -2/5*b**3 + 2/5 - 2/5*b**i + 2/5*b = 0?
-1, 1
Let d(y) be the first derivative of -2/9*y + 1/9*y**4 + 2/15*y**5 - 1/3*y**2 - 4/27*y**3 + 1/27*y**6 - 4. What is r in d(r) = 0?
-1, 1
Let 1/5*i**4 - 12/5*i + 4/5 - 6/5*i**3 + 13/5*i**2 = 0. What is i?
1, 2
Let a be -2 - 0 - -3 - -2. Suppose -2*s - 2 = -6. Solve s*i**3 - 3*i**a - 3*i**2 + 2*i**2 = 0.
-1, 0
Let h(p) be the first derivative of p**3/3 - 4. Find l, given that h(l) = 0.
0
Let t(o) be the third derivative of o**7/1470 + o**6/420 - o**4/84 - o**3/42 - 12*o**2. Factor t(l).
(l - 1)*(l + 1)**3/7
Factor -t**2 - t**4 + 5*t**2 - t**4 - 2*t**2.
-2*t**2*(t - 1)*(t + 1)
Let g(k) be the third derivative of -1/3*k**3 + 0*k - 1/12*k**6 - 11/30*k**5 + 3*k**2 - 7/12*k**4 + 0. Factor g(x).
-2*(x + 1)**2*(5*x + 1)
Let n(v) be the first derivative of 8/7*v + 4/7*v**2 + 2/21*v**3 + 7. Factor n(d).
2*(d + 2)**2/7
Find p, given that 12/5*p**2 + 4/5*p**4 + 0 + 4/5*p + 12/5*p**3 = 0.
-1, 0
Let o(q) = -q**3 - 7*q**2 + 37*q - 24. Let n(s) = -s**3 - 4*s**2 + 19*s - 12. Let z(h) = -5*n(h) + 2*o(h). Factor z(w).
3*(w - 1)**2*(w + 4)
Factor 0 - 1/10*l - 1/10*l**2.
-l*(l + 1)/10
Let p**4 - p**2 + 3 - 4*p**2 + 10*p**2 + 6*p**3 + 10*p + 7*p**2 = 0. What is p?
-3, -1
Let v(u) be the second derivative of -u**7/630 + u**6/72 - u**5/30 + u**4/4 - 3*u. Let r(o) be the third derivative of v(o). Let r(s) = 0. What is s?
1/2, 2
Let k(f) = -2*f**2 - 6*f + 2. Suppose 3*w + 4*v - 15 = 10, 0 = -5*w - v + 19. Let n(m) = 3*m**2 + 7*m - 2. Let r(s) = w*n(s) + 4*k(s). Factor r(t).
(t - 2)*(t - 1)
Let o(q) = q**2 + 5*q. Let m(j) = j. Let r(p) = -p**3 - 11*p**2 - 9*p + 14. Let s be r(-10). Let i(k) = s*m(k) - o(k). Factor i(x).
-x*(x + 1)
Factor -6/7*j**2 - 4/7*j**3 + 2/7*j**4 + 0*j + 0.
2*j**2*(j - 3)*(j + 1)/7
Find w, given that 0 + 0*w**4 - 1/2*w**3 + 1/4*w**5 + 1/4*w + 0*w**2 = 0.
-1, 0, 1
Let g(d) = 5*d**5 - 2*d**4 - 6*d**3 + 2*d**2 + 7*d. Let k(s) = -56*s**5 + 22*s**4 + 66*s**3 - 22*s**2 - 78*s. Let n(z) = 68*g(z) + 6*k(z). Factor n(x).
4*x*(x - 2)*(x - 1)*(x + 1)**2
Find m such that 0*m**2 - 4/7*m**3 + 0 - 10/7*m**4 + 0*m = 0.
-2/5, 0
Let f(l) be the third derivative of l**5/120 - l**4/16 + l**3/6 + l**2. Factor f(r).
(r - 2)*(r - 1)/2
Let u(k) be the first derivative of 4*k**5/25 + k**4/5 - 4*k**3/5 - 2*k**2/5 + 8*k/5 + 26. Let u(c) = 0. What is c?
-2, -1, 1
Suppose -d - 7 = -4*t + 5, 0 = -4*t - 5*d + 12. Factor 0*o**t - 2/7*o**4 - 2/7 + 0*o + 4/7*o**2.
-2*(o - 1)**2*(o + 1)**2/7
Let b(g) = -g**2 + 2*g + 3. Let p be b(3). Suppose -4*z + p*z + 20 = 5*u, 3*u - 12 = -3*z. Factor 2/5*y**3 - 2/5*y**2 + 2/5*y**u - 2/5*y + 0.
2*y*(y - 1)*(y + 1)**2/5
Let p be -5*38/4*2. Let w be (-171)/p - (-1)/(-1). Determine t so that -2/5*t**3 - w*t**2 + 0 - 2/5*t = 0.
-1, 0
Suppose v - f + 6 = -3*f, -2*v + 3 = -f. Factor 2*j**2 + 2*j - j**2 + 1 + v + 0.
(j + 1)**2
Let q(x) be the third derivative of 0 + 0*x - 1/9*x**3 + 5/36*x**4 - 1/30*x**5 - 2*x**2 - 1/20*x**6. Let q(l) = 0. Calculate l.
-1, 1/3
Let y = -11 - -16. Suppose i - 6*r - 5 = -r, 0 = 2*i + 5*r + y. Solve -2/7*u**2 + i + 0*u - 2/7*u**3 = 0.
-1, 0
Let p(t) be the first derivative of 4*t**5/5 - 3*t**4 + 4*t**3 - 2*t**2 + 2. Factor p(z).
4*z*(z - 1)**3
Let p(b) = b**4 + b**3 - b**2 + b + 1. Let y(r) = 12*r**4 + 12*r**3 - 15*r**2 + 9*r + 9. Let v(n) = 9*p(n) - y(n). Let v(c) = 0. Calculate c.
-2, 0, 1
Let p(s) = -s**3 - 2*s**2. Let f be p(2). Let y = f + 18. Factor 1/2*b**5 - 2*b**4 + 3/2*b**3 - 2*b + 2*b**y + 0.
b*(b - 2)**2*(b - 1)*(b + 1)/2
Let z(p) = p - 3. Let q be z(6). Find u such that 4 - 3*u**4 + 3*u**3 + 2*u**3 + 2*u**4 - 8*u - q*u**2 + 3*u**4 = 0.
-2, 1/2, 1
Suppose -5*o + 16*o = -o. Factor 1/5*m**3 - 1/5*m**2 + o + 0*m.
m**2*(m - 1)/5
Solve 9/5*x**5 - 1/5*x + 0 - 6/5*x**2 - 8/5*x**3 + 6/5*x**4 = 0 for x.
-1, -1/3, 0, 1
Let i be 0*5/(-30) - 15/(-4). Factor -15/4*o**4 + i*o - 3/4 + 3/4*o**5 - 15/2*o**2 + 15/2*o**3.
3*(o - 1)**5/4
Let r(k) be the second derivative of -k**5/120 + k**4/24 - k**2/2 - 4*k. Let g(w) be the first derivative of r(w). Solve g(y) = 0 for y.
0, 2
Factor -10*y - 205*y**2 + 50 - 25*y + 210*y**2.
5*(y - 5)*(y - 2)
Let n(p) be the second derivative of p**4/3 + 11*p**3/6 - 3*p**2/2 + 5*p. Factor n(o).
(o + 3)*(4*o - 1)
Let j = 319/10170 - -2/1017. Let h(a) be the third derivative of a**2 + 0 + 1/15*a**3 + 0*a - j*a**4 + 1/150*a**5. Determine c so