5*j**5. Factor g(c).
-(c - 1)**2*(c + 1)**2/5
Let x(i) be the first derivative of i**7/1680 + i**6/720 + 5*i**3 - 20. Let h(f) be the third derivative of x(f). Find j, given that h(j) = 0.
-1, 0
Factor -20/7*x - 6/7*x**2 + 48/7 + 2/7*x**3.
2*(x - 4)*(x - 2)*(x + 3)/7
Let z(l) = l**5 + 17*l**4 - 38*l**3 + 47*l**2 - 29*l + 5. Let r(u) = 16*u**4 - 38*u**3 + 48*u**2 - 30*u + 6. Let q(m) = 3*r(m) - 2*z(m). Factor q(c).
-2*(c - 2)**2*(c - 1)**3
Let b = 69 + 43. Let h = b - 76. Factor 6*o**2 + 63/2*o**4 - h*o**3 + 147/2*o**5 + 0*o + 0.
3*o**2*(o + 1)*(7*o - 2)**2/2
Factor -36 - 111/2*j - 7/2*j**3 - 25*j**2.
-(j + 3)**2*(7*j + 8)/2
Let m(l) be the third derivative of -l**5/10 - l**4/8 + 3*l**3/2 + 103*l**2. Factor m(u).
-3*(u - 1)*(2*u + 3)
Let i(o) = o**3 - 34*o**2 - 336*o + 3. Let s be i(42). Suppose -1/2*g**s + 0*g + 0 - 1/2*g**2 = 0. Calculate g.
-1, 0
Let x(o) be the first derivative of -28*o**3 + 30*o**2 + 40*o + 11. Let z(f) = -17*f**2 + 12*f + 8. Let n(y) = 3*x(y) - 16*z(y). Factor n(b).
4*(b - 1)*(5*b + 2)
Let n(r) be the third derivative of r**5/360 + 19*r**4/24 + 361*r**3/4 + 116*r**2. Determine i so that n(i) = 0.
-57
Let n(r) be the first derivative of r**4/4 + 8*r**3 - r**2/2 - 24*r + 142. Factor n(d).
(d - 1)*(d + 1)*(d + 24)
Let q(o) be the first derivative of -o**5/3 - o**4/3 + 26*o**3/9 - 10*o**2/3 + o - 307. Determine f, given that q(f) = 0.
-3, 1/5, 1
Let v(h) be the second derivative of h**6/30 + h**5/5 + h**4/6 - 2*h**3/3 - 3*h**2/2 + 8*h. Determine j so that v(j) = 0.
-3, -1, 1
Let h(n) be the third derivative of -7/114*n**4 + n**2 - 1/570*n**5 - 49/57*n**3 + 0 + 0*n. Factor h(a).
-2*(a + 7)**2/19
Let j(s) be the first derivative of -4*s**5/5 + s**4 + 85. Factor j(g).
-4*g**3*(g - 1)
Suppose -3*y + j = 1, -3*j + 6*j - 3 = -3*y. Let g(q) be the second derivative of 0*q**2 - 5*q + 1/60*q**5 + y*q**3 + 0 + 1/36*q**4. Factor g(t).
t**2*(t + 1)/3
Let u(k) be the second derivative of 0 + 1/30*k**3 + 28*k + 1/120*k**4 - 1/100*k**5 - 1/300*k**6 + 0*k**2. Factor u(s).
-s*(s - 1)*(s + 1)*(s + 2)/10
Let b(g) be the first derivative of 16/3*g**3 - 10*g**2 - 14 - g**4 + 8*g. Factor b(y).
-4*(y - 2)*(y - 1)**2
Let y(j) be the second derivative of -j**6/50 - 3*j**5/20 - 2*j + 21. Factor y(r).
-3*r**3*(r + 5)/5
Let n(o) be the second derivative of o**9/3402 + o**8/1512 + o**7/3780 + 2*o**3 - 8*o. Let h(j) be the second derivative of n(j). Factor h(g).
2*g**3*(g + 1)*(4*g + 1)/9
Find q, given that -16/11 - 36*q**2 + 162/11*q**3 + 152/11*q = 0.
2/9, 2
Let d(h) be the first derivative of h**5/4 - 5*h**4/12 - 5*h**3/3 - 22*h - 19. Let a(j) be the first derivative of d(j). Factor a(c).
5*c*(c - 2)*(c + 1)
Let q be 6/(-16) + 413/56. Suppose -q = -13*v + 19. Determine l so that 0*l**3 + 2/7*l**v - 2/7*l**4 + 0 + 0*l = 0.
-1, 0, 1
Let k be (-27)/(-297) - (-57)/99. Factor -2/3*n**3 + 5/3*n**2 - k - 1/3*n.
-(n - 2)*(n - 1)*(2*n + 1)/3
Let k = 1374 + -1368. Let j(p) be the first derivative of 3/20*p**4 + 1/10*p**k - 24/5*p + 12/25*p**5 - 6*p**2 - 14/5*p**3 + 10. What is b in j(b) = 0?
-2, -1, 2
Let r(u) = -5*u**5 + 10*u**4 + 17*u**3 - 13*u**2 - 15*u. Let l(v) = v**3 + v**2. Let i(t) = 3*l(t) + r(t). Solve i(c) = 0.
-1, 0, 1, 3
Let i = -20 - -21. Let o(g) = 2*g + 1. Let n be o(i). Factor -3*d - n*d + 3*d**2 + 7*d - 6 + 2*d.
3*(d - 1)*(d + 2)
Suppose 2 + 3 = 5*f. What is h in -15 - 58*h**2 - 122*h**2 - 128*h - f + 324*h**3 = 0?
-2/9, 1
Let k = -8 - -6. Let t be 32/14 + k/7. Factor 3*x**5 + 0*x**5 + 4*x**4 - 12*x**t + 5*x**4.
3*x**2*(x - 1)*(x + 2)**2
Find v such that 2/7*v**5 - 6/7*v**4 + 2/7 + 4/7*v**3 - 6/7*v + 4/7*v**2 = 0.
-1, 1
Let b(s) be the second derivative of -s**4/10 + 28*s**3/45 - s**2/5 - 5*s + 22. Let b(j) = 0. What is j?
1/9, 3
Suppose 2*x + 12 = 5*o, -6*o + 9 = -3*o - 3*x. Let v(r) be the first derivative of -4 - 1/7*r**o + 0*r - 2/21*r**3. Let v(q) = 0. What is q?
-1, 0
Determine v, given that -189*v**2 + 972*v + 57/4*v**3 - 1296 - 3/8*v**4 = 0.
2, 12
Let b(f) = 12*f**3 - 86*f**2 + 271*f - 67. Let x(g) = -13*g**3 + 86*g**2 - 270*g + 66. Let w(k) = 6*b(k) + 5*x(k). Factor w(z).
(z - 6)**2*(7*z - 2)
Let v = 1926 - 7703/4. Let s(z) be the second derivative of v*z**4 + 0 + 4*z + 3/4*z**5 + 0*z**3 + 2/5*z**6 + 0*z**2. Suppose s(d) = 0. Calculate d.
-1, -1/4, 0
Let v(w) be the first derivative of 0*w + 4/7*w**2 - 19 - 10/21*w**3. Factor v(x).
-2*x*(5*x - 4)/7
Let x = -8236 - -8257. Factor x*g - 3/2*g**2 - 147/2.
-3*(g - 7)**2/2
Let h be 2492/420 + 4/60. Factor 0 + h*z**4 - 40/3*z**3 - 4/3*z + 26/3*z**2.
2*z*(z - 1)**2*(9*z - 2)/3
Factor 0 - 15/2*t**2 + 0*t - 3/2*t**3.
-3*t**2*(t + 5)/2
Suppose 0 = 5*t - 2*y + 132, 0*t = 5*t - 3*y + 128. Let g = t - -31. Determine d, given that -3 + 65*d - 157*d**g + 192*d**3 - 75*d**2 - 5*d**4 - 17 = 0.
1, 4
Let r(d) be the third derivative of d**5/20 + 33*d**4/8 - 35*d**3 - 459*d**2. Suppose r(z) = 0. Calculate z.
-35, 2
Let k = 74 + -54. Factor -k*n**2 - 147 + 12*n**2 + 12*n - 54*n + 5*n**2.
-3*(n + 7)**2
Let i(r) = r**3 - 4*r**2 - r + 5. Let p(b) = b + 6. Let h be p(-2). Let l be i(h). Solve 1/2*c**2 + 3/2*c + l = 0.
-2, -1
Let t(d) be the third derivative of -d**8/168 + d**7/7 - 5*d**6/4 + 29*d**5/6 - 10*d**4 + 12*d**3 - 11*d**2 + 3. Determine j, given that t(j) = 0.
1, 6
Suppose 9*q = -5*c + 6*q + 12, 0 = -5*c + 4*q - 16. Let i(t) be the third derivative of -3/8*t**4 - t**3 - 1/20*t**5 + t**2 + 0*t + c. Let i(b) = 0. What is b?
-2, -1
Let j(m) be the second derivative of -m**7/945 + m**6/540 + m**5/540 + 11*m**3/6 + 12*m. Let l(c) be the second derivative of j(c). Factor l(z).
-2*z*(z - 1)*(4*z + 1)/9
Let x be 0 + (-234)/30 - (98/(-7) - -6). Find z such that -3/5 + x*z**3 + 7/5*z - z**2 = 0.
1, 3
Let x = -35908 + 35910. Factor 3/5*m**x + 12/5*m + 0.
3*m*(m + 4)/5
Suppose 29*x - 27*x + 100 = 0. Let d = 52 + x. Let 0 + 0*a**d + 2/9*a**5 + 2/9*a - 4/9*a**3 + 0*a**4 = 0. What is a?
-1, 0, 1
Let z(q) be the first derivative of -1/3*q**2 + 2/9*q**3 + 0*q + 6. Determine d so that z(d) = 0.
0, 1
Factor -23*t**3 - 24*t**4 + 8*t**2 + 36*t - 4*t**5 + 21*t**3 - 12*t**3 - 18*t**3 + 16.
-4*(t - 1)*(t + 1)**3*(t + 4)
Find f, given that 8*f**3 + 16*f**2 - 16*f**3 + 17*f + 7*f**3 = 0.
-1, 0, 17
Let q(c) = 2*c**3 + 33*c**2 + 11*c - 7. Let w(u) = -u**3 - 11*u**2 - 4*u + 2. Let p(v) = 2*q(v) + 7*w(v). Find m such that p(m) = 0.
-3, -2/3, 0
Let m(v) be the first derivative of 2*v**3/27 - 20*v**2/9 - 8. Factor m(d).
2*d*(d - 20)/9
Let t(x) be the first derivative of x**5/15 - 5*x**4/12 - 5*x**3/9 + 15*x**2/2 - 12*x - 483. Suppose t(a) = 0. Calculate a.
-3, 1, 3, 4
Let t = -12 + 13. Let q(c) = -3*c**2 + 1 + 2*c**2 + 7*c**3 - 8*c**3. Let f(z) = 6*z**3 + 2*z**2 - 4. Let v(y) = t*f(y) + 4*q(y). Factor v(w).
2*w**2*(w - 1)
Let k(f) = -f**3 - 9*f**2 + 3*f - 19. Let q be k(-9). Let a = 49 + q. Solve -11/2*h**a - h - 13/2*h**2 + 0 = 0.
-1, -2/11, 0
Let t = -77/3 - -26. Let s = 59/222 + 5/74. Factor s*j**3 + 1/3 - t*j**2 - 1/3*j.
(j - 1)**2*(j + 1)/3
Suppose 3*r - r - 2*p - 4 = 0, -2*r = 3*p - 9. Factor 10*j**3 + 28*j**2 - 15 - 190*j**r - 40*j**5 + 42*j**2 + 145*j**4 + 20*j.
-5*(j - 1)**4*(8*j + 3)
Let h(d) be the second derivative of -3 - 8*d + 1/6*d**5 - 4/3*d**2 - 1/45*d**6 - 4/9*d**3 - 1/63*d**7 + 5/18*d**4. Determine m so that h(m) = 0.
-2, -1, 1, 2
Let p(o) = 10*o**3 + 23*o**2 + 289*o - 1191. Let f(g) = -2*g**3 - 6*g**2 - 72*g + 298. Let u(d) = -9*f(d) - 2*p(d). Factor u(i).
-2*(i - 5)**2*(i + 6)
Factor -4 - 9 + 3*z + 8*z**2 + 4*z**3 + 0 + 5 - 7*z.
4*(z - 1)*(z + 1)*(z + 2)
Suppose -11*p + 8*p = -255. Let o = p - 85. Suppose -1/4*w**4 + 1/2*w**3 - 1/4*w**2 + o*w + 0 = 0. What is w?
0, 1
Let c(p) be the first derivative of -p**4/36 - 64*p**3/9 - 512*p**2 + 514. Factor c(k).
-k*(k + 96)**2/9
Let s(x) be the second derivative of 2*x**6/15 - 8*x**4/3 + 32*x**2 + 97*x. Let s(a) = 0. Calculate a.
-2, 2
Suppose -4*c - 53 + 5 = 0. Let i be 68/c + 5 - -6. Solve 2*p**5 - i*p**4 - 14/3*p + 4*p**2 + 4/3 + 8/3*p**3 = 0.
-1, 2/3, 1
Let m = 16 - 1. Let r = -15 + m. Factor 2/3*q**2 + r + 2/3*q.
2*q*(q + 1)/3
Let h(j) = j**3 - 5*j**2 + 3. Let f be h(5). Factor -270*z**2 - 24 + 28*z + 43*z + 61*z - 81*z**4 + 243*z**f.
-3*(z - 1)*(3*z - 2)**3
Suppose 2/3 - 2/9*f**5 + 2/3*f**4 + 4/9*f**3 - 2/9*f - 4/3*f**2 = 0. What is f?
-1, 1, 3
Let r(q) = 65*q 