 derivative of -l**6/150 + 21*l**5/100 - 59*l**4/30 + 2*l**3 + 20*l**2 - 120*l - 3. Factor h(c).
-(c - 10)**2*(c - 2)*(c + 1)/5
Let j(i) be the first derivative of i**5/150 - i**3/15 - 5*i**2/2 - 4. Let c(d) be the second derivative of j(d). Factor c(t).
2*(t - 1)*(t + 1)/5
Let k = 1347 + -1343. Solve 0 + 4/9*z**k - 8/9*z**3 + 0*z + 0*z**2 = 0 for z.
0, 2
Suppose -38/11*r**4 + 46/11*r**2 - 8/11 - 14/11*r**5 + 16/11*r - 2/11*r**3 = 0. Calculate r.
-2, -1, 2/7, 1
Let y(p) be the second derivative of -p**10/136080 + p**8/10080 + p**7/5670 + 11*p**4/12 + 19*p. Let g(v) be the third derivative of y(v). Factor g(j).
-2*j**2*(j - 2)*(j + 1)**2/9
Let j(g) be the second derivative of -g**8/336 - 5*g**7/168 + g**6/72 + 5*g**5/24 + 35*g**3/6 - 34*g. Let v(u) be the second derivative of j(u). Factor v(x).
-5*x*(x - 1)*(x + 1)*(x + 5)
Let o(k) be the first derivative of 0*k**2 + 1/300*k**5 + 0*k + 1/3*k**3 - 3 + 1/30*k**4 - 1/900*k**6. Let v(d) be the third derivative of o(d). Factor v(j).
-2*(j - 2)*(j + 1)/5
Let u(w) be the third derivative of -3*w**8/448 + w**7/10 - w**6/2 + 4*w**5/5 + 284*w**2 - 1. Factor u(f).
-3*f**2*(f - 4)**2*(3*f - 4)/4
Let n = -20 - -14. Let z(f) = -f**4 + f**3 - f. Let h(a) = 5*a**4 - 7*a**3 + 6*a. Let g(k) = n*z(k) - h(k). Factor g(u).
u**3*(u + 1)
Determine g, given that -2 + 2*g**2 - 15*g + 12 + 3*g**2 = 0.
1, 2
Let m(l) = -l**3 - l**2 - l + 1. Let o = -26 + 30. Let f(x) = -6*x**3 + 19*x**2 + 4*x - 9. Let a(v) = o*m(v) + f(v). Factor a(d).
-5*(d - 1)**2*(2*d + 1)
Let i(m) be the second derivative of m**6/160 - 3*m**5/80 + m**3/2 - 13*m**2 + 4*m. Let s(g) be the first derivative of i(g). Factor s(l).
3*(l - 2)**2*(l + 1)/4
Let f(z) be the third derivative of -z**5/50 - 5*z**4/6 + 17*z**3/15 - z**2 - 534*z. Factor f(v).
-2*(v + 17)*(3*v - 1)/5
Let s(p) be the third derivative of -p**6/30 - 13*p**5/5 - 169*p**4/2 - 4394*p**3/3 + 432*p**2. Factor s(t).
-4*(t + 13)**3
Let y(r) = -r**2 + r + 1. Let n(b) = -28*b - 1 + 61*b**2 + 3 - 6 - 27*b. Let o(j) = n(j) - 2*y(j). Determine u, given that o(u) = 0.
-2/21, 1
Let t(p) be the third derivative of -p**10/30240 + p**9/2016 + 43*p**5/60 - 41*p**2. Let w(a) be the third derivative of t(a). Solve w(g) = 0 for g.
0, 6
Let j(u) be the first derivative of 4*u**3/3 + 608*u**2 + 92416*u + 355. Let j(d) = 0. What is d?
-152
Suppose -8*w - 13 + 13 = 0. Let k(p) be the first derivative of -1/15*p**5 + w*p**2 + 1/6*p**4 - 5/6*p**6 + 0*p - 10 + 0*p**3. Factor k(c).
-c**3*(3*c - 1)*(5*c + 2)/3
Let q(n) be the second derivative of -n**6/900 - n**5/150 + 2*n**3/3 - 3*n. Let b(r) be the second derivative of q(r). Factor b(y).
-2*y*(y + 2)/5
Suppose -3*q + 4*q = 3. Suppose -q*x + d + 8 = -7, 3*d + 25 = 4*x. Let w**x - 4*w**4 + 4 + 4*w**2 - 3 - 2*w**3 + 2*w**5 - 2 = 0. Calculate w.
-1, -1/2, 1
Let i(p) be the first derivative of -5*p**5 + 0*p - 22 + 25/4*p**4 + 5/6*p**6 + 25/3*p**3 - 15*p**2. Solve i(z) = 0.
-1, 0, 1, 2, 3
Let m(u) be the third derivative of -u**5/90 + u**4/4 + 107*u**2. Factor m(p).
-2*p*(p - 9)/3
Let m(y) be the second derivative of y**2 - 1/5*y**5 - 1/6*y**4 + 2/3*y**3 + 0 - 8*y. Factor m(h).
-2*(h - 1)*(h + 1)*(2*h + 1)
Let u(f) be the first derivative of -5*f**4/8 + 40*f**3/9 + 65*f**2/12 - 5*f + 489. Factor u(c).
-5*(c - 6)*(c + 1)*(3*c - 1)/6
Let n(f) be the third derivative of f**5/390 - 7*f**4/156 + f**2 - 9*f. Let n(m) = 0. What is m?
0, 7
Factor 4/9*t**2 + 4/9*t**3 - 2/3*t + 2/9*t**5 + 2/9 - 2/3*t**4.
2*(t - 1)**4*(t + 1)/9
Suppose 11*r = 40*r - 22*r + 2*o, 0 = -3*r - 2*o. Let j be 8/(-10)*2/(-4). Factor 2/5*m - 1/5*m**2 + r - j*m**3 + 1/5*m**4.
m*(m - 2)*(m - 1)*(m + 1)/5
Let v(h) be the third derivative of -243*h**5/10 - 9*h**4/2 - h**3/3 - h**2 - 10*h. Factor v(q).
-2*(27*q + 1)**2
Let n = 2065 + -2065. Let a(r) = -r + 9. Let o be a(4). Factor 2/17*s + 0*s**3 + 4/17*s**2 - 2/17*s**o - 4/17*s**4 + n.
-2*s*(s - 1)*(s + 1)**3/17
Let a(l) = 5445*l**3 - 5185*l**2 + 1590*l - 155. Let m(d) = 5445*d**3 - 5182*d**2 + 1592*d - 156. Let o(i) = 4*a(i) - 5*m(i). Factor o(f).
-5*(9*f - 2)*(11*f - 4)**2
Let x be (-3 + 31)*(-2)/(-4). Suppose 10*s = x*s - 16. Solve 35*n**2 - 47*n**2 - 5*n - s*n - 3*n**3 = 0 for n.
-3, -1, 0
Suppose 3*y - 24 = 3*d, 3*d - 2*y = -5*y. Let j(i) = 2*i + 9. Let r be j(d). Let -1/4*o**2 - r - o = 0. Calculate o.
-2
Factor 26/5*g**2 - 6/5*g**3 - 4/5*g - 16/5.
-2*(g - 4)*(g - 1)*(3*g + 2)/5
Let r be ((-4)/(-224))/(5/310). Let w = -1/4 + r. Factor -w*l + 2/7*l**3 - 4/7 + 0*l**2.
2*(l - 2)*(l + 1)**2/7
Let h(r) be the third derivative of r**10/30240 - r**9/4032 + r**8/2016 + 19*r**5/60 - 5*r**2. Let c(s) be the third derivative of h(s). Solve c(m) = 0.
0, 1, 2
Let a be 6*(2 - (-26)/(-6)). Let f = a + 31. Factor 13*k - k**2 - 35*k - 4 + 5*k**3 + f*k**3 + 5*k**2.
2*(k - 1)*(k + 1)*(11*k + 2)
Let d(m) be the third derivative of 0*m + 1/42*m**7 + 1/6*m**5 - 5/336*m**8 - 5/2*m**3 + 1/4*m**6 + 0 - 25/24*m**4 + 44*m**2. Factor d(r).
-5*(r - 3)*(r - 1)*(r + 1)**3
Let g(l) be the second derivative of -3/5*l**2 + 15*l + 0 + 7/15*l**3 + 1/50*l**5 - 1/6*l**4. Factor g(t).
2*(t - 3)*(t - 1)**2/5
Let m(g) be the second derivative of g**4/6 + 28*g**3/3 - 93*g**2 + 379*g. Find x, given that m(x) = 0.
-31, 3
Let z(n) = 4*n**3 + 5*n**2 - 3*n - 20. Let j be z(-3). Let s = -69 - j. Factor -3/2*v + 6*v**4 + 6*v**2 + 0 - 9*v**3 - 3/2*v**s.
-3*v*(v - 1)**4/2
Suppose 5/2*j - 1/4*j**2 - 9/4 = 0. Calculate j.
1, 9
Suppose 0 = -2*j - 5*s - 45, 22*j - 3*s = 20*j + 27. Factor j*x**2 - 2/3*x + 2/3*x**3 + 0.
2*x*(x - 1)*(x + 1)/3
Solve 1/2*z**3 + 5/2*z**5 + 4*z**4 + 0*z - z**2 + 0 = 0.
-1, 0, 2/5
Let g(h) be the first derivative of -3*h**4/8 - 2*h**3 - 3*h**2 + 37. Find b, given that g(b) = 0.
-2, 0
Let k be (63/(-4))/((-2)/(-24)). Let d = -189 - k. Find c, given that -3/5*c**4 + d*c**3 + 1/5*c**2 + 2/5*c**5 + 0 + 0*c = 0.
-1/2, 0, 1
Suppose 0 + 2/9*i - 2/9*i**2 = 0. What is i?
0, 1
Let c(s) be the third derivative of -1/60*s**5 + 0*s + 1/210*s**7 - 13*s**2 + 0 + 0*s**4 + 0*s**6 + 0*s**3. Factor c(t).
t**2*(t - 1)*(t + 1)
Suppose 0*k - 2/11*k**4 + 0 + 20/11*k**2 - 18/11*k**3 = 0. Calculate k.
-10, 0, 1
Suppose -20/7*m**5 + 4/7 + 58/7*m**4 - 2*m**3 + 34/7*m - 62/7*m**2 = 0. Calculate m.
-1, -1/10, 1, 2
Let h(l) = -l**5 - 2*l**3 + l**2 - l - 1. Let o(r) = -9*r**5 - 9*r**4 + 8*r**3 + 6*r**2 - 2*r - 2. Let d(w) = -2*h(w) + o(w). Solve d(k) = 0.
-2, -2/7, 0, 1
Let t = 724 + -721. Let v(l) be the second derivative of 0*l**4 + 0 + 1/12*l**t - 4*l + 0*l**2 - 1/40*l**5. Factor v(q).
-q*(q - 1)*(q + 1)/2
Let s be ((-105)/50 - -4) + (-4)/30*3. Factor 7/4*g + s - 3/4*g**2.
-(g - 3)*(3*g + 2)/4
Find s such that 101 + 315*s - 60294*s**3 + 150*s**2 + 60289*s**3 + 59 = 0.
-1, 32
Let h(f) be the third derivative of 3*f**8/56 + f**7/10 - f**6/8 - 7*f**5/20 - f**4/8 - 25*f**2 - 1. Find u such that h(u) = 0.
-1, -1/6, 0, 1
Let v = -306 - -288. Let g be (-48)/56*56/v. Determine m, given that 4/3*m**4 - 8/3*m**3 - 4/3*m**2 + g*m + 0 = 0.
-1, 0, 1, 2
Factor -6*h**3 + 78*h + 3*h**3 + 6*h + 0*h**3 - 9*h**2.
-3*h*(h - 4)*(h + 7)
Solve -25*b - 2*b**3 - 45/4*b**2 - 125/8 - 1/8*b**4 = 0.
-5, -1
Suppose l - 4*u = -2*l + 12, l = -3*u - 9. Let m(d) be the third derivative of 11/24*d**4 + 1/30*d**6 + 1/3*d**3 + l*d + 0 + 4*d**2 + 13/60*d**5. Factor m(w).
(w + 1)*(w + 2)*(4*w + 1)
Let l(n) = 60*n**2 - 45*n. Let h(m) = -5*m**2 + 4*m. Let o(c) = 35*h(c) + 3*l(c). Factor o(v).
5*v*(v + 1)
Suppose -4*k = -5*k + 18. Suppose 0*p - 9*p = -k. Let -4/13 - 16/13*f**p - 6/13*f**3 - 14/13*f = 0. What is f?
-1, -2/3
Let k(h) be the third derivative of h**8/1344 + h**7/840 - h**6/480 - h**5/240 - 88*h**2. Find r such that k(r) = 0.
-1, 0, 1
Factor -105/2*u - 5/2*u**5 + 25/2 + 45/2*u**4 - 65*u**3 + 85*u**2.
-5*(u - 5)*(u - 1)**4/2
Let n = 84317/3 + -27936. Determine l so that 20/3 + n*l**2 - 521/3*l**3 - 176/3*l + 49/3*l**5 + 119/3*l**4 = 0.
-5, 2/7, 1
What is s in 3/4*s**3 + 21/4 - 43/4*s - 61/4*s**2 = 0?
-1, 1/3, 21
Suppose 24 = -2*q + 28. Suppose -2 - q = -2*y. Factor 2/5*h**y + 0 - 2/5*h.
2*h*(h - 1)/5
Let o(m) be the first derivative of -5 - 16*m + 4*m**3 - 22 + m**4 + 5. Factor o(s).
4*(s - 1)*(s + 2)**2
Let o(g) = 5*g - 30. Let k(d) = -d + 1. Let r(i) = -4*k(i) - o(i). Let x be r(23). What is l in -8/5*l**2 - 4/5*l**4 + 2*l**x + 2/5*l 