rd derivative of -2/45*r**5 + 1/9*r**3 + 0*r + 0 - r**2 + 1/12*r**4. Let p(o) = 0. Calculate o.
-1/4, 1
Let n = 7 - 5. Determine u, given that 0 - 3*u + 4*u - n - 17*u - 32*u**2 = 0.
-1/4
Let o(r) = r**5 + r**4 + 1. Let p(h) be the second derivative of 4*h**7/21 - 4*h**6/15 + 2*h**5/5 + 2*h**2 - 6*h. Let j(t) = 4*o(t) - p(t). Solve j(i) = 0.
0, 1, 2
Let j(l) be the third derivative of -l**9/34020 - l**8/12096 - l**7/22680 - l**4/3 + 11*l**2. Let k(o) be the second derivative of j(o). What is u in k(u) = 0?
-1, -1/4, 0
Suppose 3*v = 17 - 2. Suppose 2*k + 1 + 5 = -v*n, -2*k - n = -2. Factor -2*s**2 - s**3 - 3*s**3 + s**k + 3*s**3.
-s**2*(s + 1)
Let k(t) be the first derivative of t**2 + 6 - t - 1/3*t**3. Factor k(o).
-(o - 1)**2
Let b(s) be the third derivative of s**6/120 + s**5/40 - s**4/4 + 2*s**3/3 + s**2. Let m(q) be the first derivative of b(q). Solve m(n) = 0.
-2, 1
Let a = 4/61 - -964/183. Solve 10*t**2 + 8/9 + a*t + 50/9*t**3 = 0 for t.
-1, -2/5
Suppose 3*r = 2*c - 5*c + 15, -15 = -3*r + 5*c. Let a(o) = 3*o**2 + o - 4. Let f(u) = -7*u**2 - 3*u + 9. Let x(g) = r*a(g) + 2*f(g). Factor x(m).
(m - 2)*(m + 1)
Let d be (-7)/(-2) + 45/(-10) + 4. Suppose 2*c + 5*b - 4 = 3*b, 2*b = -c. Factor 1/3*h**d - 1/3*h - 1/6 + 0*h**2 + 1/6*h**c.
(h - 1)*(h + 1)**3/6
Let m(n) = -2*n - 2. Let c be m(-4). Suppose 5*i = -c + 21. Factor 0*a**2 - 1/2*a**4 - a**i + a + 1/2.
-(a - 1)*(a + 1)**3/2
Let l be 3 - (-5 - -10 - 4). Factor 0*x - 3/5*x**l + 3/5.
-3*(x - 1)*(x + 1)/5
Let x(i) be the second derivative of i**4/14 + i**3/14 - 3*i**2/14 - 5*i. Suppose x(q) = 0. Calculate q.
-1, 1/2
Let k(l) = l + 1. Let s be k(-1). Let r(x) be the second derivative of -x**2 + 1/4*x**4 + s - 1/6*x**3 - x. Factor r(c).
(c - 1)*(3*c + 2)
Let z(x) be the first derivative of -x**6/216 + x**5/18 - 5*x**4/18 + 4*x**3/3 - 9. Let f(y) be the third derivative of z(y). Let f(t) = 0. Calculate t.
2
Suppose d = -5*m + 24, -m - 3*d + 2 + 0 = 0. Let p(c) be the second derivative of 0 + 1/24*c**3 - c + 0*c**4 + 0*c**2 - 1/80*c**m. Find u, given that p(u) = 0.
-1, 0, 1
Suppose -4*x + 16 = 2*r, -3*x - 2*x = -15. Factor 5*g - g**2 - 11*g - 2*g**3 + r + 6*g**2 + g**2.
-2*(g - 1)**3
Let u(v) be the first derivative of v**6/12 - v**5/10 - 3*v**4/8 + v**3/6 + v**2/2 - 8. Determine l, given that u(l) = 0.
-1, 0, 1, 2
Let a(k) be the third derivative of k**5/40 - k**3/4 - 2*k**2. Let a(l) = 0. What is l?
-1, 1
Suppose 3*b - 55 + 7 = 0. Let r = b + -31/2. Factor y - 15/2*y**3 + 0 - r*y**2.
-y*(3*y - 1)*(5*y + 2)/2
Let c be 2/(-4) + (-506)/(-660). Let q(u) be the second derivative of 1/30*u**4 + 0 + 4/5*u**2 + c*u**3 + 3*u. Factor q(p).
2*(p + 2)**2/5
Let b(d) be the first derivative of 3/4*d**4 + 0*d + 9/5*d**5 - 2 - 3/2*d**2 - 3*d**3. Suppose b(w) = 0. Calculate w.
-1, -1/3, 0, 1
Let r be (-160)/(-462) - 4/14. Let y = r + 25/132. Suppose 0*t + y*t**4 + 0*t**2 + 0 - 1/4*t**3 = 0. Calculate t.
0, 1
Let t(z) = z**2 + z - 1. Let q(m) = -10*m**3 - 16*m**2 - 6*m + 2. Let n(h) = 2*q(h) + 4*t(h). Let n(i) = 0. What is i?
-1, -2/5, 0
Let d(k) be the second derivative of -3*k**5/140 + 3*k**4/14 - 6*k**3/7 + 12*k**2/7 + 6*k. Factor d(z).
-3*(z - 2)**3/7
Let w be (-1 + -1)*(-3 + (-30)/(-20)). Factor 1/3 - 1/3*g**w - g + g**2.
-(g - 1)**3/3
Let k(q) be the third derivative of -q**8/84 + 4*q**7/105 - 2*q**5/15 + q**4/6 - 50*q**2. Factor k(a).
-4*a*(a - 1)**3*(a + 1)
Let c = -18 - -20. Factor -1/5*u**5 + 1/5*u - 2/5*u**4 + 0 + 0*u**3 + 2/5*u**c.
-u*(u - 1)*(u + 1)**3/5
Let t(f) = 9*f**4 - 6*f**3 - 6*f**2. Let o(z) = -17*z**4 + 11*z**3 + 11*z**2. Let n(j) = -6*o(j) - 11*t(j). Factor n(m).
3*m**4
Suppose -2*h = -w, 0*w + 2*w + 5*h = 9. Factor -r**2 + w*r - r**3 - 1 + 2 + 0 - r.
-(r - 1)*(r + 1)**2
Let o(a) be the second derivative of -1/48*a**4 + 0 + 2*a - 1/8*a**2 + 1/12*a**3. Factor o(m).
-(m - 1)**2/4
Let t(k) = -k**2 + 10*k + 6. Let d be t(9). Suppose -d = -4*r + 5. Factor r*u - 5*u - 3*u + 3*u**3 + 3*u**2 - 3*u**4.
-3*u*(u - 1)**2*(u + 1)
Let q(v) be the third derivative of v**5/150 - v**3/15 - 3*v**2. What is z in q(z) = 0?
-1, 1
Factor 2 + 5*h**4 - 1 + 5*h**5 - 1.
5*h**4*(h + 1)
Let x = -173438/9 + 58222/3. Let q = x + -136. Factor -2/9*p**2 + q + 2/9*p.
-2*(p - 2)*(p + 1)/9
Let k be (-106)/(-22) + (-2)/(-11). Let r(a) be the first derivative of 3 + 0*a + 7/3*a**6 - 9/2*a**4 - 2*a**k + 2*a**2 + 10/3*a**3. Let r(i) = 0. What is i?
-1, -2/7, 0, 1
Let k(f) = f**3 - 4*f**2 + 3*f - 8. Let r be k(5). Let o = 34 - r. Factor 2*i**o + 0 - 2/3*i**3 - 4/3*i.
-2*i*(i - 2)*(i - 1)/3
Let h = 296/115 + -50/23. Suppose -8/5*x**4 + 4*x**2 + 8/5*x - 2/5*x**3 - h*x**5 - 16/5 = 0. Calculate x.
-2, 1
Let 28*a**2 - 3*a**5 + 9*a**3 - 3*a**4 - 3*a - 3*a - 25*a**2 = 0. What is a?
-2, -1, 0, 1
Let t be (181*3)/((-30)/(-4)). Let p = t - 72. Let 0 + 0*j - p*j**3 + 0*j**2 = 0. What is j?
0
Let a(z) be the second derivative of -z**4/6 + 23*z**3/21 - 6*z**2/7 + 22*z. Solve a(x) = 0 for x.
2/7, 3
Solve 2*c + c**3 - 262*c**2 + 263*c**2 - 2*c = 0 for c.
-1, 0
Let l(u) be the first derivative of -2*u**5/55 + u**4/22 + 4*u**3/33 - 32. Find k such that l(k) = 0.
-1, 0, 2
Let q(v) be the second derivative of -v**5/5 - v**4/3 + 2*v**3/3 + 2*v**2 - 44*v. Let q(t) = 0. What is t?
-1, 1
Find g such that -4/3*g**3 + 8/3*g**4 - 8*g**2 + 0 + 2/3*g**5 + 6*g = 0.
-3, 0, 1
Factor -4*i**5 + 233*i**3 - 464*i**3 - 4*i + 239*i**3.
-4*i*(i - 1)**2*(i + 1)**2
Let y(s) = s**3 - 19*s**2 + 19*s - 13. Let v be y(18). Determine t, given that 1/4*t**v + 0 + 1/2*t**3 + 0*t**2 + 0*t + 3/4*t**4 = 0.
-2, -1, 0
Suppose 6*m - 2*m - 20 = -4*y, 5*y = -3*m + 21. Let d(c) be the second derivative of 0 - 1/2*c**5 + 2*c**2 + 2*c + 5/3*c**y - 1/3*c**4. Factor d(r).
-2*(r - 1)*(r + 1)*(5*r + 2)
Let c(f) be the second derivative of -f**4/9 - 2*f**3/9 + 39*f. Factor c(x).
-4*x*(x + 1)/3
Let x(r) = 29*r**4 - 3*r - 28*r**4 + 4*r. Let s(k) = -2*k**4 - 6*k**3 - 3*k**2 + k. Let v(u) = s(u) + 5*x(u). Solve v(p) = 0 for p.
-1, 0, 1, 2
Suppose -5/7*x - 3/7 + 1/7*x**3 - 1/7*x**2 = 0. Calculate x.
-1, 3
Let g(q) be the second derivative of 2*q**6/15 - 4*q**5/5 + q**4 + 8*q**3/3 - 8*q**2 - 13*q. Factor g(a).
4*(a - 2)**2*(a - 1)*(a + 1)
Let u be ((-18)/15)/((-6)/20). Suppose -u*m = -m. Factor 2*c**3 + m*c + 5*c + 4*c**2 - 3*c.
2*c*(c + 1)**2
Determine f so that 0 + 2/9*f + 2/3*f**3 + 2/3*f**2 + 2/9*f**4 = 0.
-1, 0
Let t = 14 - 10. Let h(n) be the first derivative of 4/5*n**5 - 1/3*n**6 + 0*n**2 - 1/2*n**t + 0*n**3 + 0*n - 2. Factor h(u).
-2*u**3*(u - 1)**2
Let n be (-2)/6*(-2)/13. Let m = n + 3/26. Solve 1/6*r**3 - 1/6*r**2 + m - 1/6*r = 0 for r.
-1, 1
Let g(f) be the second derivative of 0 + 1/3*f**3 + 1/900*f**6 + 0*f**4 - 1/300*f**5 + 0*f**2 + f. Let p(s) be the second derivative of g(s). Factor p(b).
2*b*(b - 1)/5
Let w(x) be the second derivative of x**7/63 - x**6/15 + x**5/10 - x**4/18 - 12*x. Factor w(l).
2*l**2*(l - 1)**3/3
Factor 1/4*k + 1/4*k**3 + 1/2*k**2 + 0.
k*(k + 1)**2/4
Solve 0*l**3 - 4*l + 0*l**3 + 6*l**3 - 2*l**5 + 6*l**2 - 2*l**4 - 4*l**2 = 0.
-2, -1, 0, 1
Let g(n) be the third derivative of n**6/40 - 2*n**5/25 + n**4/40 + n**3/5 - 2*n**2. Determine o so that g(o) = 0.
-2/5, 1
Suppose 5*q = 5*f - 25, -3*f - 3*q + 7 = -2*q. Let m(g) be the second derivative of 1/60*g**4 + 2/5*g**2 - g + 0 + 2/15*g**f. Suppose m(j) = 0. Calculate j.
-2
Let r = -6 - -6. Let s(p) be the second derivative of -1/6*p**4 + p + r + 1/3*p**3 + 0*p**2. Factor s(c).
-2*c*(c - 1)
Let f(o) = o**3 - 17*o**2 + o - 5. Let l = 4 - -3. Let k(h) = -2*h**3 + 25*h**2 - 2*h + 7. Let n(m) = l*f(m) + 5*k(m). Factor n(u).
-3*u*(u - 1)**2
Suppose -3*d = 2*u - 455, 5*u - 3*d = 968 + 201. Let b = u + -1620/7. Factor 0*z + 0 - b*z**2 + 2/7*z**3 + 6/7*z**4.
2*z**2*(z + 1)*(3*z - 2)/7
Factor 0*c**2 + 0 + 6/5*c**3 - 3/5*c**5 + 0*c**4 - 3/5*c.
-3*c*(c - 1)**2*(c + 1)**2/5
Let h = -13 + 17. Factor 0*n**2 - 3*n**3 - 2*n**2 + 23*n - 4*n**4 - h*n**3 - 22*n.
-n*(n + 1)**2*(4*n - 1)
Factor 0*t - 1/7*t**3 + 0 - 1/7*t**5 + 2/7*t**4 + 0*t**2.
-t**3*(t - 1)**2/7
Suppose 1380*z = 1384*z. Factor b**3 + z*b + 1/2*b**4 + 1/2*b**2 + 0.
b**2*(b + 1)**2/2
Factor 1/6*s**3 - 1/3*s + 0 - 1/2*s**2 + 1/6*s**5 + 1/2*s**4.
s*(s - 1)*(s + 1)**2*(s + 2)/6
Let h(d) be the first derivative of -2*d**3/39 - 2*d**2/13 + 6*d/13 + 10. Factor h(x).
-2*(x -