**8/2352 - l**7/1470 - l**6/420 + l**5/210 + l**4/168 - l**3/42 - 2*l**2 - 62*l. Factor f(z).
(z - 1)**3*(z + 1)**2/7
Let h(c) be the third derivative of -c**5/20 - 43*c**4/4 - 1849*c**3/2 - 177*c**2. Determine v, given that h(v) = 0.
-43
Let s(u) be the third derivative of -u**5/30 - 7*u**4/12 - 4*u**3 - 62*u**2 + 1. What is r in s(r) = 0?
-4, -3
Let a(d) = -4*d**2 - 96*d - 1154. Let y(t) = -t**2 - 1. Let w(b) = 2*a(b) - 4*y(b). Factor w(v).
-4*(v + 24)**2
Let u be ((-45)/(-10))/9*(-68)/(-2). Suppose 5*i + 2 - u = -s, i = s + 3. Determine q, given that 0 + 1/5*q**5 + 1/5*q**2 - 1/5*q**4 - 1/5*q**i + 0*q = 0.
-1, 0, 1
Let z(l) be the first derivative of 10 + 1/12*l**3 + 1/480*l**5 + 0*l + 1/48*l**4 - 7/2*l**2. Let i(m) be the second derivative of z(m). Factor i(q).
(q + 2)**2/8
Let r be 1*6 + (-15 - (-24 - -10)). Let s be (-3)/2*(-2)/9. Suppose y**4 + 0 + y**3 + 1/3*y**r + 0*y + s*y**2 = 0. What is y?
-1, 0
Let b be 12/(-8)*20/(-6). Suppose -4 = s - 4*s - t, -b*t = -2*s + 14. Factor 60*o + 0*o**s - 3*o**2 + 3 - 60*o.
-3*(o - 1)*(o + 1)
Let i(k) be the first derivative of -k**3 + 12*k**2 + 144*k + 210. Factor i(a).
-3*(a - 12)*(a + 4)
Let z(s) be the first derivative of -s**4/4 - 23*s**3/3 + 49*s**2/2 - 25*s + 21. Solve z(k) = 0 for k.
-25, 1
Solve -10*i**3 + 7*i**2 - 2 - 1 + 4*i - 3 + 2 + 3*i**4 = 0 for i.
-2/3, 1, 2
Let a = -292 + 296. Let t(b) be the second derivative of 7*b + 1/4*b**3 - 3/40*b**5 - 3/4*b**2 + 3/8*b**a + 0 - 1/10*b**6. Suppose t(h) = 0. Calculate h.
-1, 1/2, 1
Let w(u) be the second derivative of -u**8/11200 - u**7/840 - u**6/150 - u**5/50 - 2*u**4/3 - u. Let z(b) be the third derivative of w(b). Factor z(y).
-3*(y + 1)*(y + 2)**2/5
Let j(x) be the second derivative of x**5/90 - x**4/18 + x**3/9 - x**2/9 - 56*x - 1. Factor j(p).
2*(p - 1)**3/9
Let l = -37 + 53. Suppose 4*i**3 + i**4 - l*i**2 + 18*i**2 - i**3 = 0. What is i?
-2, -1, 0
Suppose 102/7*l**2 - 2/7*l**3 + 9826/7 - 1734/7*l = 0. Calculate l.
17
Factor 1/2*t + 1 - t**2 - 1/2*t**3.
-(t - 1)*(t + 1)*(t + 2)/2
Let u(r) = -8*r**3 - 19*r**2 + 37*r. Let k(z) = -3*z - 77. Let a be k(-24). Let f(g) = 4*g**3 + 10*g**2 - 18*g. Let j(n) = a*f(n) - 2*u(n). Factor j(x).
-4*x*(x - 1)*(x + 4)
Let h(l) be the second derivative of l**5/35 - 4*l**4/7 - 18*l**3/7 - 4*l**2 - 305*l. Determine k, given that h(k) = 0.
-1, 14
Let j = 1033 + -1029. Let c(y) be the second derivative of 0 - 4*y - 1/60*y**5 - 1/3*y**2 + 1/6*y**3 + 0*y**j. Find p such that c(p) = 0.
-2, 1
Let r = -604/17 + 3024/85. Let g = r + 6/17. Factor 4/5*d**2 + 2/5*d**3 + g*d + 0.
2*d*(d + 1)**2/5
Let n(r) be the first derivative of -5*r**4/4 - 205*r**3/3 + 105*r**2 - 141. Factor n(w).
-5*w*(w - 1)*(w + 42)
Suppose 2*k - 40 = -0*k. Let b be k/6*(-4)/((-8)/2). Let -23/6*r**4 - 2/3*r**2 + 0 + b*r**3 + 0*r + 7/6*r**5 = 0. What is r?
0, 2/7, 1, 2
Factor 3481/6 + 1/6*k**2 + 59/3*k.
(k + 59)**2/6
Suppose 4*f = -11*f + 60. Let c(b) be the second derivative of -1/22*b**3 + 1/220*b**5 - 13*b - 1/11*b**2 + 0*b**f + 0. Suppose c(g) = 0. Calculate g.
-1, 2
Suppose y + 3*l = -2*y + 3, -4*l = -4. Let i be 5 - (-1 + (3 - y)). Solve 3*f**2 - f**2 - 2 + f**3 - 4*f + 5*f**i - 2*f**3 = 0 for f.
-1, -1/2, 1
Suppose -175 = 3*h - 121. Let f be (h/(-21))/((-3)/(-2)). Suppose 8*x**3 + f*x**5 - 24/7*x**4 - 64/7*x**2 - 8/7 + 36/7*x = 0. What is x?
1, 2
Let m = 28 + -26. Factor -8*u - 20*u**2 + 32*u**2 + 4*u**m + 5*u**3 + 5*u**3.
2*u*(u + 2)*(5*u - 2)
Suppose -145*l = -146*l + 4, 5*d - 5*l = -10. Let 0*o - 2/3*o**d + 8/3 = 0. What is o?
-2, 2
Let t = -1/122 + -195/5978. Let d = 39/245 - t. Solve 0*y + 0 + d*y**2 - 2/5*y**3 + 1/5*y**4 = 0.
0, 1
Let k(o) = -o**3 - 3*o**2 + 3*o - 2. Let h be k(-4). Suppose h*s + 10 = 7*s. Factor -s*i**5 - 11*i**3 + 12*i**4 - i**5 - i**3.
-3*i**3*(i - 2)**2
Let o(i) be the second derivative of i**6/3 + 3*i**5/4 - 5*i**4/4 - 5*i**3/3 + 69*i. Suppose o(b) = 0. Calculate b.
-2, -1/2, 0, 1
Let z = 545/1368 - -7/152. Let h(t) be the second derivative of -1/18*t**4 + z*t**3 - 2*t + 0 - 4/3*t**2. Factor h(n).
-2*(n - 2)**2/3
Let t(p) be the first derivative of -3*p**4/4 - 2*p**3 + 9*p**2/2 + 160. Factor t(m).
-3*m*(m - 1)*(m + 3)
Let w(k) be the second derivative of -k**4/4 - 13*k**3 - 507*k**2/2 - 16*k - 1. Factor w(y).
-3*(y + 13)**2
Let w(s) = 3*s**2 + 2*s + 2. Suppose -4*c - 2 = -2*c. Let a be w(c). Factor 6/7*p**2 - 4/7*p - 2/7*p**a + 0.
-2*p*(p - 2)*(p - 1)/7
Let k = -16 + 1. Let o = k + 20. Suppose -10 - 39*r**5 - 35*r + 6*r**4 - 16*r**4 + 20*r**2 + 70*r**3 + 4*r**o = 0. What is r?
-1, -2/7, 1
Let v(u) be the second derivative of 0 + 4/5*u**6 - u**2 - 11/6*u**4 + 5/2*u**3 - 31/20*u**5 + 8/21*u**7 + 11*u. Determine s, given that v(s) = 0.
-2, -1, 1/4, 1
Factor 5/3*m - 4/3 - 1/3*m**2.
-(m - 4)*(m - 1)/3
Let d(n) be the second derivative of -n**5/150 + n**4/30 - 12*n**2 + 14*n. Let s(g) be the first derivative of d(g). Factor s(l).
-2*l*(l - 2)/5
Suppose 4*u - 4*q + 4 = 0, -3*q = 2*u - 2*q - 10. Let j(p) = -p**2 - p. Let y(f) = 2*f**2 + 2*f. Let h(t) = u*j(t) + y(t). Factor h(m).
-m*(m + 1)
Let i(s) = -5*s**2 + 5*s + 5. Let w = 17 - 12. Let p(r) = r**3 - 6*r**2 + 6*r + 6. Let z(v) = w*p(v) - 6*i(v). Factor z(k).
5*k**3
Let g = -1 - -5. Let r be -1*(-5 - -6)*-1. Factor -r + g + 2 - 3*q**2 - 2.
-3*(q - 1)*(q + 1)
Let z(r) be the third derivative of 1/80*r**5 - 1/12*r**3 + 0*r + 4*r**2 + 5/96*r**4 + 0. Factor z(d).
(d + 2)*(3*d - 1)/4
Suppose 3*w = 5*b - 14, 0 = 2*w + w - 2*b + 2. Suppose 5*a = 38*a - 99. Factor -4/5*n**a + 8/5*n**w + 0 + 0*n.
-4*n**2*(n - 2)/5
Let o(b) be the second derivative of -b**6/240 - b**5/120 + b**4/12 + b**3/3 + 15*b**2 - b + 3. Let f(i) be the first derivative of o(i). Factor f(r).
-(r - 2)*(r + 1)*(r + 2)/2
Let r(c) be the first derivative of 5*c**4/12 + 13*c - 13. Let w(b) be the first derivative of r(b). Find t, given that w(t) = 0.
0
Suppose -k = k + 3*b + 6, k - 2 = b. Suppose 0 = 2*x + 2*j, -3*x = -k*j + 4*j. Factor 2*a**3 - 2 - 2*a + 3*a**2 + x*a**2 - 3*a**2 + 2*a**2.
2*(a - 1)*(a + 1)**2
Let b(l) be the third derivative of -l**6/30 - 2*l**5/3 - 11*l**4/2 - 24*l**3 + 46*l**2 - 2. Let b(j) = 0. What is j?
-4, -3
Let y(k) be the first derivative of k**6/2 + 6*k**5/5 - 3*k**4/4 - 2*k**3 - 34. Let y(u) = 0. Calculate u.
-2, -1, 0, 1
Let i(x) be the third derivative of 1/10*x**5 + 0*x + x**3 - 5/8*x**4 + 0 - 17*x**2. Suppose i(h) = 0. What is h?
1/2, 2
Let d(y) = -22*y**2 - 40*y + 82. Let i be d(-3). Let p(a) = 6*a - 1. Let w be p(1). Solve 0 + 3/4*v**w + 0*v**2 - 3/4*v**i + 0*v + 0*v**3 = 0 for v.
0, 1
Let c(q) be the second derivative of 2/3*q**4 + 1/30*q**6 + 2*q**2 + 9*q + 0 + 1/3*q**5 + 0*q**3. Let p(f) be the first derivative of c(f). Factor p(m).
4*m*(m + 1)*(m + 4)
Let x(g) be the first derivative of -g**4/8 + g**3/3 + 5*g**2/4 - 3*g - 134. Factor x(q).
-(q - 3)*(q - 1)*(q + 2)/2
Let j(z) = z**3 - z. Let f(d) = 78*d**2 - 579*d + 864. Let n(y) = -f(y) + 3*j(y). Factor n(k).
3*(k - 12)**2*(k - 2)
Let d = 22574 + -22572. What is v in 0*v**3 + 4/5*v**d + 2/5*v - 4/5*v**4 + 0 - 2/5*v**5 = 0?
-1, 0, 1
Find o, given that 3038*o**2 - 6066*o**2 + 63 + 3031*o**2 - 66*o + 0*o = 0.
1, 21
Determine r so that 149 + r**2 - 5*r**2 + 0*r**2 + 124*r - 269 = 0.
1, 30
Let s(o) = o**3 + o**2 + o. Let k(x) be the first derivative of 6*x**4 - 28*x**3/3 + 16*x**2 - 4*x - 8. Let c(n) = k(n) - 8*s(n). Factor c(h).
4*(h - 1)**2*(4*h - 1)
Let y(z) be the third derivative of z**7/420 + z**6/40 + z**5/15 + 426*z**2. Factor y(w).
w**2*(w + 2)*(w + 4)/2
Let x(t) be the third derivative of t**8/70560 + t**7/8820 - 7*t**5/20 - 29*t**2. Let p(q) be the third derivative of x(q). Let p(z) = 0. Calculate z.
-2, 0
Let b(t) = -t**3 - 5*t**2 + t - 11. Let j be b(-5). Let y be j/(-10) - (-20 + 21). Factor -y*p**4 + 3/5*p**3 + 0 - 1/5*p**2 + 1/5*p**5 + 0*p.
p**2*(p - 1)**3/5
Let g(n) be the third derivative of -1/75*n**5 + 1/600*n**6 + 0 - 1/120*n**4 - 21*n**2 + 2/15*n**3 + 0*n. Factor g(p).
(p - 4)*(p - 1)*(p + 1)/5
What is r in 0 - 3*r**3 + 12/5*r + 0*r**2 + 0*r**4 + 3/5*r**5 = 0?
-2, -1, 0, 1, 2
Let t be (-1 + (3 - -7))/(12/8). Let z(c) be the second derivative of -3/80*c**5 + 0 - 1/120*c**t + 0*c**2 + 5*c - 1/24*c**3 - 1/16*c**4. Factor z(a).
-a*(a + 1)**3/4
Suppose 25 = -15*y + 10*y + 5*v, 7*v - 43 = 3*y. Determine j so 