the third derivative of 19*a**2 - 1/8*a**4 + 0 + l*a**5 - a**3 + 1/40*a**6 + 0*a. Factor z(c).
3*(c - 1)*(c + 1)*(c + 2)
Let i(u) = u**3 - 5*u**2 - 5*u - 3. Suppose 5*a + 9*c - 5 = 4*c, 0 = 2*a + 3*c + 3. Let d be i(a). Let 5*m**2 - 9*m + 12*m - d*m = 0. Calculate m.
0
Let x = 5285 - 5281. Suppose 4/3*r**2 + 0*r - 5/3*r**x + 0 - 8/3*r**3 = 0. Calculate r.
-2, 0, 2/5
Suppose -1 - 152*s - 90*s - 83*s**2 - 4 + 196*s - 42*s**3 = 0. What is s?
-1, -5/6, -1/7
Let u(a) be the first derivative of a**3/21 + 97*a**2/14 + 96*a/7 + 3731. Solve u(x) = 0 for x.
-96, -1
Let s(t) = 37*t**3 + 287*t**2 - 322*t - 1792. Let b(r) = 115*r**3 + 860*r**2 - 965*r - 5375. Let u(h) = -8*b(h) + 25*s(h). Factor u(z).
5*(z - 3)*(z + 2)*(z + 60)
Let r(s) be the second derivative of -1/3*s**3 - 27*s - 3*s**4 + 1/10*s**5 - 1 + 18*s**2. Factor r(j).
2*(j - 18)*(j - 1)*(j + 1)
Factor 13/5*k**4 - 157/5*k - 87/5*k**3 + 48/5 + 183/5*k**2.
(k - 1)**3*(13*k - 48)/5
Let a(f) be the second derivative of f**4/48 - 83*f**3/3 + 1983*f**2/8 + 4966*f. Factor a(m).
(m - 661)*(m - 3)/4
Let h be -1*((3 - 2) + -7). Suppose 3*t + t - h = a, 16 = 3*t + 5*a. Factor -14*l**t + 23*l**2 - 13*l**2.
-4*l**2
Let r(d) be the second derivative of d**6/120 - 9*d**5/40 - 25*d**4/16 + 427*d**3/6 + 441*d**2/2 + 7020*d. Factor r(z).
(z - 14)**2*(z + 1)*(z + 9)/4
Let b(h) be the third derivative of 0*h + 2/3*h**3 - 264*h**2 + 0 + 3/28*h**4 + 1/210*h**5. Solve b(k) = 0 for k.
-7, -2
Let h(u) = u**3 + 15*u**2 + 49*u - 8. Let q be h(-10). Factor -q*b**2 + b**2 + 4*b + 4*b - 225 - 6*b - 32*b.
-(b + 15)**2
Let d be -40 + ((-439040)/(-308))/35. Find u, given that -d*u + 20/11*u**3 + 14/11*u**2 - 8/11 + 6/11*u**4 = 0.
-2, -1, 2/3
Suppose 14*s = 10*s - 3*b + 18, -2*s - 18 = -3*b. Let p(c) be the first derivative of c**3 + s*c - 11 + 3/2*c**2. Suppose p(w) = 0. Calculate w.
-1, 0
Suppose -15/7*c**2 + 15/7*c**3 + 15/7*c**4 + 3/7*c**5 - 18/7*c + 0 = 0. Calculate c.
-3, -2, -1, 0, 1
Let t(c) be the first derivative of -5/12*c**3 + 1/40*c**5 - 15 + 1/24*c**4 + 3/4*c**2 + 30*c. Let n(p) be the first derivative of t(p). Factor n(k).
(k - 1)**2*(k + 3)/2
Let g = -289 + 301. Factor -l**4 - g*l**2 + 10*l + 319*l**3 - 313*l**3 + 4 - 7.
-(l - 3)*(l - 1)**3
Let c = 3310 - 49649/15. Let z(i) be the second derivative of -1/60*i**4 + 2*i + 0 - c*i**3 + 0*i**2. Suppose z(b) = 0. What is b?
-2, 0
Let k(x) be the first derivative of -1/75*x**6 - 8 + 0*x**2 - 1/30*x**4 + 1/25*x**5 + 0*x**3 + 12*x. Let v(r) be the first derivative of k(r). Solve v(u) = 0.
0, 1
Let i(k) be the third derivative of 1/480*k**6 - 22*k**2 + 0*k**3 + 0*k**5 + 0*k**4 + 0 + 0*k + 1/840*k**7. Factor i(f).
f**3*(f + 1)/4
Let c(y) = 7*y - 3. Let a be c(6). Let i = a + -37. Suppose 40*u - i*u**2 - 39*u + u**2 = 0. Calculate u.
0, 1
Suppose -15*p + 57 = -63. Factor 6 + v**2 - 6*v**2 + 10*v**2 + p*v - 3*v**2.
2*(v + 1)*(v + 3)
Let l = -102 - -108. Solve 45*j**2 + l - 24*j**2 + 5*j - 2*j - 24*j**2 = 0 for j.
-1, 2
Let d(x) be the third derivative of 43/8*x**4 - 13/10*x**5 - 37*x**2 + 2 - 5*x**3 - 7/40*x**6 + 0*x. Factor d(y).
-3*(y - 1)*(y + 5)*(7*y - 2)
Determine x so that 1434/5*x + 0 + 3/5*x**2 = 0.
-478, 0
Factor -5*q**3 - 43*q**2 - 12*q**2 - 5*q**2.
-5*q**2*(q + 12)
Let n(c) be the first derivative of 5*c + 50*c**3 + 30*c**2 - 97 + 9*c**5 - 21*c**4 + 34*c**4 + 22*c**4. Factor n(l).
5*(l + 1)**3*(9*l + 1)
Let o(u) = u**3 - 15*u**2 - 1094*u + 16410. Let g be o(15). Find s, given that 2/3*s + 11*s**3 + g + 17/3*s**2 - 17/3*s**4 - 35/3*s**5 = 0.
-1, -2/7, -1/5, 0, 1
Let k(q) be the first derivative of 0*q + q**4 + 7 - 2/3*q**3 + 14/5*q**5 + 0*q**2 + 4/3*q**6. Factor k(z).
2*z**2*(z + 1)**2*(4*z - 1)
Let p(w) be the second derivative of 14/33*w**6 + w - 4/33*w**3 + 2/3*w**4 + 0*w**2 - 17/231*w**7 + 2 - 93/110*w**5. Suppose p(o) = 0. Calculate o.
0, 2/17, 1, 2
Let z = 64 - 61. Let d(l) = -l**3 - l**2. Let q(n) = n**4 + 127*n**3 + 5769*n**2 + 119164*n + 923521. Let p(k) = z*d(k) + q(k). Factor p(w).
(w + 31)**4
Suppose -81*b - 5592 = -87*b. Suppose 0 = 4*j + 920 - b. Determine h, given that 1/2*h**j + 0*h + 0 + 1/2*h**2 = 0.
-1, 0
Let g(w) = -18*w**4 + 322*w**3 - 96*w**2 - 6*w. Let d(o) = 19*o**4 - 321*o**3 + 94*o**2 + 7*o. Let v(k) = -6*d(k) - 7*g(k). Find b, given that v(b) = 0.
0, 1/3, 27
Let j(u) be the first derivative of -80/3*u**3 + 5/4*u**4 + 80*u - 49 - 5/2*u**2. Suppose j(w) = 0. Calculate w.
-1, 1, 16
Let b(v) = -v**3 + 25*v**2 + 83*v + 28. Suppose -361*d + 140 = -356*d. Let l be b(d). Determine x so that l + 0*x**2 - 1/7*x**4 + 0*x + 1/7*x**3 = 0.
0, 1
Let v(f) = -11*f**3 - 424*f**2 - 377*f. Let a(r) = -r**3 - 4*r**2 + r. Let t(o) = -18*a(o) + 2*v(o). Factor t(h).
-4*h*(h + 1)*(h + 193)
Let m(u) be the second derivative of 0 - 15/2*u**5 - 135*u**4 - 10935/2*u**2 + 133*u - 1215*u**3 - 1/6*u**6. Find l, given that m(l) = 0.
-9, -3
Let u be 4 - 4 - 1*(-6 - -4). Determine g, given that -6*g**5 + 8 + 16*g**4 + 81*g**2 - 10*g**4 + 25*g**u + 74*g**3 - 2*g**5 + 54*g = 0.
-1, -1/4, 4
Factor 9525/2*c + 9*c**2 + 1587/2.
3*(c + 529)*(6*c + 1)/2
Suppose 17*l + 135 = 32*l. Suppose -4*n + l = i, 1 = n - 3*i + 2. Suppose 10/9*m**3 + 4/9 + 14/9*m + n*m**2 + 2/9*m**4 = 0. Calculate m.
-2, -1
Let a(i) be the first derivative of 8*i**5/45 + 503*i**4/6 + 754*i**3/27 - 23. Let a(f) = 0. Calculate f.
-377, -1/4, 0
Let x be 80/(-60) - (-3)/((-9)/2987). Let a = x - -997. Factor a + 3/2*t**2 + 1/2*t**3 + t.
t*(t + 1)*(t + 2)/2
Let u(d) be the second derivative of d**4/28 + 33*d**3/7 - 204*d**2/7 + 1102*d. Factor u(t).
3*(t - 2)*(t + 68)/7
Let n(k) = 1 + 17*k - 9*k - 7*k. Let l(h) = -h**2 + h + 1. Suppose 5*a = -4*c - 0*a - 1, c = 5*a + 6. Let o(b) = c*l(b) - 5*n(b). Solve o(j) = 0.
-2
Let z(l) be the third derivative of -l**9/30240 + l**8/4480 - 121*l**4/24 - 4*l**2 + 16*l. Let s(p) be the second derivative of z(p). Factor s(c).
-c**3*(c - 3)/2
Let j(p) = 390*p**2 - 429*p - 1638. Let b(x) = 29*x**2 - 33*x - 126. Let c(z) = 27*b(z) - 2*j(z). Determine l so that c(l) = 0.
-3, 14
Let a(m) be the second derivative of 13*m - 2/7*m**3 + 1/70*m**5 - 1/14*m**4 - 2 + 8/7*m**2. Factor a(x).
2*(x - 4)*(x - 1)*(x + 2)/7
Let p(z) be the first derivative of -4*z**5/5 - 19*z**4/2 - 44*z**3/3 + 16*z**2 - 415. Let p(v) = 0. What is v?
-8, -2, 0, 1/2
Let d(f) be the third derivative of -f**6/30 - 42*f**5/5 - 124*f**4/3 + 125*f**2. Factor d(o).
-4*o*(o + 2)*(o + 124)
Let b(r) = 44*r**2 + 3404*r + 66896. Let z(m) = 8*m**2 + 619*m + 12163. Let t = 579 + -551. Let q(h) = t*z(h) - 5*b(h). Determine l, given that q(l) = 0.
-39
Suppose 2*n = -3*u + 2 + 5, -5 = -n. Let x be 1*-5*(24/30)/u. Find o such that -101*o**3 + 10*o**2 - 16*o**4 + x*o**5 + 6*o**2 - 16*o + 113*o**3 = 0.
-1, 0, 1, 2
Let y(a) be the second derivative of 11*a**5/30 - 37*a**4/9 + 49*a**3/3 - 24*a**2 - 2573*a. Suppose y(o) = 0. Calculate o.
8/11, 3
Let t(k) be the second derivative of k**4/4 - 235*k**3/2 + 351*k**2 + 5*k + 133. Suppose t(p) = 0. What is p?
1, 234
Suppose 2*m + 3*c - 33 = -6, 5*c = -5*m + 55. Let y be 25/m + -5 + 1 + 0. Let 1/3 - 1/6*u**2 + y*u = 0. What is u?
-1, 2
Factor -5*d + 3031*d**3 - 3035*d**3 - 244*d - 360 - 64*d**2 - 27*d.
-4*(d + 3)**2*(d + 10)
Let g(w) be the first derivative of -49*w**6/18 + 7868*w**5/15 - 26507*w**4 + 179840*w**3/9 - 12800*w**2/3 + 1685. Factor g(q).
-q*(q - 80)**2*(7*q - 2)**2/3
Let k be 1/(26/(-15)) - 13*81/(-702). Let f(h) be the first derivative of 5/13*h**2 - 19 - 2/39*h**3 - k*h. Factor f(o).
-2*(o - 3)*(o - 2)/13
Let x(y) be the third derivative of 0 - 56*y**2 + 0*y - 53/24*y**4 + 1/40*y**6 + 7/15*y**5 + 11/3*y**3. Determine f so that x(f) = 0.
-11, 2/3, 1
Suppose 5*a - p = 2 + 19, -3*p = -12. Suppose -4*y + a*q = -133, 0 = -y + 4*q + 27 - 2. Factor 5 + f - 6 + 39*f**2 - y*f**2.
(f + 1)*(2*f - 1)
Suppose 6*l = -18560 + 18572. Factor -1/6*p**l - 2/3*p - 1/2.
-(p + 1)*(p + 3)/6
Let -12794/13*q**2 + 948/13*q**3 - 104 + 632*q - 18/13*q**4 = 0. What is q?
1/3, 26
Let r(f) = 6*f + 35. Let o be r(-5). Find j such that -238*j**3 - 15*j**4 - 5*j**o + 283*j**3 + 135*j**2 + 0*j**5 = 0.
-3, 0, 3
Let k(r) be the third derivative of r**6/1260 + 47*r**5/630 + 85*r**4/84 + 41*r**3/7 - 15*r**2. Factor k(j).
2*(j + 3)**2*(j + 41)/21
Let n(v) be the third derivative of 361*v**7/280 + 3173*v**6/160 - 17*v*