t c(d) be the second derivative of d + 0 - 1/135*d**6 + 0*d**3 - m*d**4 + 0*d**2 - 1/45*d**5. Factor c(r).
-2*r**2*(r + 1)**2/9
Let s(f) = -7*f**4 + 12*f**3 - 3*f**2 - 7*f + 15. Let j(r) = 6*r**4 - 12*r**3 + 4*r**2 + 8*r - 14. Let p(u) = 5*j(u) + 4*s(u). Factor p(b).
2*(b - 5)*(b - 1)**2*(b + 1)
Factor 3/4*w**3 - 9/4*w + 0*w**2 - 3/2.
3*(w - 2)*(w + 1)**2/4
Find p, given that -30*p**3 + 44*p**2 - 24 + 82*p**3 - 20*p**4 - 56*p + 0*p**2 + 4*p = 0.
-1, -2/5, 1, 3
Let k(y) be the first derivative of y**6/36 - 4*y**5/45 - 19*y**4/36 - 2*y**3/3 - 3*y**2 - 6. Let p(g) be the second derivative of k(g). Factor p(z).
2*(z - 3)*(z + 1)*(5*z + 2)/3
Suppose 23*x - 48 = 11*x. Let q(o) be the first derivative of 0*o**2 - 2/9*o**3 + 1/15*o**5 - 1 + 0*o - 1/12*o**x. Factor q(y).
y**2*(y - 2)*(y + 1)/3
Let i(j) be the second derivative of j**7/1260 - j**5/60 + j**4/4 + j. Let c(t) be the third derivative of i(t). What is h in c(h) = 0?
-1, 1
Let f(v) be the second derivative of -2*v**4/9 + 7*v**3/9 + 2*v**2/3 - 12*v. Factor f(o).
-2*(o - 2)*(4*o + 1)/3
Let a(l) be the second derivative of -1/18*l**4 - 2/3*l**2 + 0 - 7*l + 1/3*l**3. Factor a(m).
-2*(m - 2)*(m - 1)/3
Let a(j) be the second derivative of -j**9/60480 - j**8/26880 + j**7/10080 + j**6/2880 + j**4/4 - j. Let g(h) be the third derivative of a(h). Factor g(b).
-b*(b - 1)*(b + 1)**2/4
Let m(q) be the second derivative of -q**4/102 + 2*q**3/51 - q**2/17 + 9*q. Factor m(n).
-2*(n - 1)**2/17
Let h be ((-2)/(-1) - 4)/(8/(-16)). Factor 2/9*p**5 + 2/9*p - 8/9*p**h - 8/9*p**2 + 0 + 4/3*p**3.
2*p*(p - 1)**4/9
Let x(k) be the second derivative of -k**7/42 + k**6/15 - k**4/6 + k**3/6 - 5*k. Factor x(t).
-t*(t - 1)**3*(t + 1)
Let l(k) be the first derivative of -1 - 4/3*k**3 + 0*k - 1/600*k**5 + 0*k**4 - 1/1800*k**6 + 0*k**2. Let b(z) be the third derivative of l(z). Factor b(a).
-a*(a + 1)/5
Let u be 9*(57/(-15) + 4). What is f in 0 - 6/5*f + u*f**2 = 0?
0, 2/3
Let y = 90 - 88. Let k(x) be the third derivative of 0 + 1/60*x**4 - 4*x**y - 1/150*x**5 + 0*x + 0*x**3. Find c, given that k(c) = 0.
0, 1
Let n(h) be the first derivative of -64*h**3/3 - 16*h**2 - 4*h - 16. Factor n(g).
-4*(4*g + 1)**2
Let z(b) be the second derivative of -b**7/210 + b**5/60 + b**2/2 - 6*b. Let f(p) be the first derivative of z(p). Factor f(n).
-n**2*(n - 1)*(n + 1)
Let u(w) be the second derivative of -1/3*w**3 + 0 + 1/6*w**4 + 3*w - 2*w**2. Factor u(q).
2*(q - 2)*(q + 1)
Find d, given that 4/3*d - 4/3 + 1/3*d**2 - 1/3*d**3 = 0.
-2, 1, 2
Let w(h) be the third derivative of -h**7/42 + h**6/12 + h**5/4 - 5*h**4/6 - 10*h**3/3 - h**2. Factor w(d).
-5*(d - 2)**2*(d + 1)**2
Let d(q) be the first derivative of 4/7*q**5 + 6 + 0*q**2 + 0*q + 1/7*q**4 - 4/21*q**3 + 2/7*q**6. Determine c, given that d(c) = 0.
-1, 0, 1/3
Factor -1/3*m**2 + 0 + 0*m + 7/6*m**3 + 2/3*m**4.
m**2*(m + 2)*(4*m - 1)/6
Let c(b) be the third derivative of b**6/60 + b**5/30 - b**4/2 - 36*b**2. Factor c(a).
2*a*(a - 2)*(a + 3)
Suppose -1 = -2*r + 3. Let d be -1*(r - 1 - 1). Factor 2/3*z + d + 4/3*z**2 + 2/3*z**3.
2*z*(z + 1)**2/3
Factor 40*j**2 + 4 - 80*j**2 + 12*j**2 - 16*j**3 - 8*j.
-4*(j + 1)**2*(4*j - 1)
Let o(x) = -2*x**3 + 4*x**2 - x - 4. Let i(j) = 9*j**3 - 17*j**2 + 4*j + 17. Let m(n) = -6*i(n) - 26*o(n). Find g, given that m(g) = 0.
-1, 1
Let b(o) = 23*o**2 - 23*o - 13. Let l(z) = 11*z**2 - 11*z - 6. Let k(p) = 6*b(p) - 13*l(p). Factor k(g).
-5*g*(g - 1)
Let -2/3 - 2/9*f**2 - 8/9*f = 0. Calculate f.
-3, -1
Let d(n) be the third derivative of n**7/16380 + n**6/2340 - n**4/12 - 7*n**2. Let q(j) be the second derivative of d(j). Factor q(p).
2*p*(p + 2)/13
Let g be -1 + (42/12 - 5/(-2)). Find m such that 0 - m**2 + 0*m**4 - 3/2*m**3 + 1/2*m**g + 0*m = 0.
-1, 0, 2
Let u = 1/27 - -35/27. Suppose -j + 3 = 1. Factor j*k**2 - 10/3*k - u.
2*(k - 2)*(3*k + 1)/3
Determine d, given that -1/10*d**2 - 1/10 - 1/5*d = 0.
-1
Let c be -1*((-631)/210 - -3). Let d(k) be the third derivative of -1/84*k**4 - 1/735*k**7 + 1/420*k**6 + c*k**5 + 0 + 0*k**3 + 0*k + 2*k**2. Factor d(m).
-2*m*(m - 1)**2*(m + 1)/7
Suppose -5*l + 26 = 1. Let o(w) = -w**2 - 6*w. Let j(b) = -2*b**2 - 9*b. Let d(z) = l*j(z) - 7*o(z). Factor d(t).
-3*t*(t + 1)
Let u(s) be the third derivative of s**9/7560 - s**8/3360 - s**7/1260 + s**6/360 - s**4/3 + 3*s**2. Let r(c) be the second derivative of u(c). Factor r(n).
2*n*(n - 1)**2*(n + 1)
Let i(d) = -2*d - 8*d**2 + 0*d**3 + 2 - 7*d - 4 - 5*d**3. Let c(a) = 5*a**3 + 7*a**2 + 9*a + 2. Let k(q) = 4*c(q) + 5*i(q). Factor k(o).
-(o + 1)**2*(5*o + 2)
Let d(m) be the third derivative of -m**5/5 - m**4/8 + 5*m**2. Factor d(a).
-3*a*(4*a + 1)
Let j(k) be the second derivative of k**7/840 - k**6/40 + 9*k**5/40 + k**4/3 + 5*k. Let n(l) be the third derivative of j(l). Factor n(g).
3*(g - 3)**2
Let u(t) be the second derivative of -t**7/231 + 4*t**6/165 - 3*t**5/55 + 2*t**4/33 - t**3/33 + 3*t. Determine k, given that u(k) = 0.
0, 1
Solve 2/9*f**2 + 0 - 2/9*f = 0 for f.
0, 1
Let q(y) be the second derivative of -y**5/90 + 5*y**4/54 - 2*y**3/9 + 31*y. Find z such that q(z) = 0.
0, 2, 3
Let v(h) be the first derivative of 3*h**6/8 - 3*h**5/20 - 5*h**4/16 - h**3/12 + 3. Factor v(c).
c**2*(c - 1)*(3*c + 1)**2/4
Determine h, given that -3*h**2 - 3*h**5 + 13*h**4 - 12*h**3 - h**4 + 3*h**2 = 0.
0, 2
Let t be ((-4)/(-5))/((-4)/420). Let q be (8/(-6))/(t/18). Determine w so that -2/7 + 0*w**2 - 4/7*w**3 + q*w**4 + 4/7*w = 0.
-1, 1
Let u(i) be the second derivative of 3*i**5/160 + 7*i**4/32 - 17*i**3/16 + 27*i**2/16 - 2*i - 40. Factor u(j).
3*(j - 1)**2*(j + 9)/8
Let k(i) = 2*i**2 + i + 1. Let y be k(-1). Determine d so that 0*d + d**3 + d**3 - 2*d**2 - 2*d + y*d**4 = 0.
-1, 0, 1
Suppose -4*h + 0 + 4 = 0. Suppose -4*t + 21 = -2*m + 7, t + m + h = 0. Factor -1/2*w**3 + 2*w**t - 5/2*w + 1.
-(w - 2)*(w - 1)**2/2
Suppose -4*m + 0*m = -12. Factor 2*h**2 - 1 + m - 1 - 3*h**2.
-(h - 1)*(h + 1)
Let d(r) be the third derivative of r**5/300 + r**4/40 + 5*r**2. Factor d(m).
m*(m + 3)/5
Factor j**2 + 63*j**3 + j**4 - 34*j**2 - 3*j**5 - 2*j**4 - 26*j**4.
-3*j**2*(j - 1)**2*(j + 11)
Let l(g) be the first derivative of g**6/60 + 2*g**5/15 + 5*g**4/12 + 2*g**3/3 - g**2/2 + 5. Let u(t) be the second derivative of l(t). Factor u(f).
2*(f + 1)**2*(f + 2)
Let u(r) be the first derivative of -1/6*r**2 + 2/3*r - 2 - 1/9*r**3. Let u(a) = 0. What is a?
-2, 1
Let p(z) be the second derivative of 3*z + 0 - 1/20*z**4 + 0*z**2 + 3/10*z**3. Let p(o) = 0. What is o?
0, 3
Let g be 10/60 - (-1)/(-66). Let n = 13/11 + g. Solve -2/3*f**3 + 0*f**2 + 2*f + n = 0.
-1, 2
Let r = 988 + -44458/45. Let o(u) be the second derivative of u + 1/63*u**7 - r*u**6 + 0*u**2 + 0 - 1/9*u**3 + 0*u**5 + 1/9*u**4. Solve o(x) = 0 for x.
-1, 0, 1
Solve 108/5 + 4/5*q**5 + 324/5*q + 44/5*q**4 + 184/5*q**3 + 72*q**2 = 0 for q.
-3, -1
Suppose -38 = -4*b + 98. Solve -7*r**4 + 42*r**3 + b*r**4 + 21*r**2 + 3*r**3 + 3*r = 0.
-1, -1/3, 0
Let m(c) be the third derivative of c**9/54432 - 13*c**8/90720 + c**7/5670 + c**6/810 + c**5/60 - 4*c**2. Let p(q) be the third derivative of m(q). Factor p(d).
2*(d - 2)*(d - 1)*(5*d + 2)/9
Let f be 1/(-3) - 2/3. Let l = f - -3. Solve -2*k**l + k + k**3 - 2*k + 2*k = 0.
0, 1
Let i = -1297 - -9109/7. Factor -18/7*k + i*k**2 + 2/7 + 50/7*k**3.
2*(k + 1)*(5*k - 1)**2/7
Let o = -3 + 7. Suppose 8 = o*m + 5*k, -k + 0*k - 6 = -3*m. Factor -8/7*y**m - 4/7 - 10/7*y - 2/7*y**3.
-2*(y + 1)**2*(y + 2)/7
Let 4/11*a**3 - 2/11*a + 0 + 0*a**4 - 2/11*a**5 + 0*a**2 = 0. What is a?
-1, 0, 1
Let j(f) be the first derivative of 7*f**6/20 - 29*f**5/30 + f**4/3 + 4*f**3/3 - 3*f**2/2 + 3. Let b(x) be the second derivative of j(x). Solve b(l) = 0.
-2/7, 2/3, 1
Suppose 3*q = 2*a + 106, -4*a = -0*q - q + 202. Let d be (40/a)/((-6)/10). Find m such that d - 4/3*m**2 + 14/3*m**3 - 14/3*m = 0.
-1, 2/7, 1
Suppose -3*d = -d - 8. Factor m**d + m**5 + 5*m**5 - 7*m**5.
-m**4*(m - 1)
Let a(n) be the first derivative of -4*n**5/5 + 8*n**3/3 - 4*n + 8. Factor a(t).
-4*(t - 1)**2*(t + 1)**2
Factor 1/8*q**5 + 0*q - 1/8*q**2 + 0 - 1/8*q**3 + 1/8*q**4.
q**2*(q - 1)*(q + 1)**2/8
Suppose i - 4*n - 2 = 0, -11 = -i - 3*n - 2*n. Let u(o) = -o**2 + 6*o + 2. Let z be u(i). Factor 0 - 2/7*p - 18/7*p**3 - z*p**4 - 4/7*p**5 - 10/7*p**2.
-2*p*(p + 1)**3*(2*p + 1)/7
Let d