e the first derivative of a(v). Factor i(s).
s**2*(s - 10)*(s + 1)**2/5
Let a(j) = -2*j**3 + 442*j**2 + 26678*j + 242534. Let z(f) = f**3 - 2*f + 4. Let w(d) = a(d) + 4*z(d). Factor w(t).
2*(t + 11)*(t + 105)**2
Let o be 1776/7348 + ((-20)/22)/5. Let m = o + 137/501. Factor s**4 + 0*s + 2*s**2 - m - 8/3*s**3.
(s - 1)**3*(3*s + 1)/3
Let r(l) = 184*l - 1652. Let q be r(9). Let f(y) be the second derivative of -1/6*y**q - 121*y**2 + 0 + 22/3*y**3 + 20*y. Determine t so that f(t) = 0.
11
Let n be (26/6)/((-183)/(-180) + -1). Factor -n + 13*r - 3*r**2 + 11*r + 18*r + 356.
-3*(r - 16)*(r + 2)
Let j(a) = 12*a**2 - 31*a + 5. Let z(d) be the first derivative of -19*d**3/3 + 23*d**2 - 8*d - 26. Let g(k) = -8*j(k) - 5*z(k). Factor g(p).
-p*(p - 18)
Factor -218*u**2 - 2706*u + 1349*u - 348*u**2 + 1345*u.
-2*u*(283*u + 6)
Let r(w) be the first derivative of -63/8*w**2 + 86 + 3/16*w**4 - 17/4*w**3 + 3/20*w**5 + 27*w. Factor r(q).
3*(q - 4)*(q - 1)*(q + 3)**2/4
Find f, given that 2/23*f**4 - 16/23*f - 14/23*f**2 + 4/23*f**3 + 24/23 = 0.
-3, -2, 1, 2
Factor 9/4*a**2 + 1/4*a**3 - 1/4*a - 9/4.
(a - 1)*(a + 1)*(a + 9)/4
Suppose -3*c + 14 = -5*x, 5*c - 12 = 3*x - 6*x. Determine y, given that 37*y**3 - 28*y**c - 4*y**3 - y**3 + 16*y + 20*y**2 = 0.
-4, -1, 0
Let s(l) be the second derivative of -1/27*l**3 + 1/54*l**4 - 19 + 3*l - 2/9*l**2. Factor s(z).
2*(z - 2)*(z + 1)/9
Let w(l) be the first derivative of 2*l**3/21 - 44*l**2/7 - 384*l/7 + 886. Factor w(f).
2*(f - 48)*(f + 4)/7
Let y be (2 + 0 - 1)/(-1). Let d be 2526/36 - y/(-6). Factor -15*g**2 + 29*g**2 - 9*g**2 + 245 + d*g.
5*(g + 7)**2
Let x(c) be the third derivative of -1/30*c**6 - 1/210*c**7 + 0 - 1/6*c**4 - 1/6*c**3 - 1/10*c**5 - c**2 - 7*c. Factor x(h).
-(h + 1)**4
Let q(f) = -21381*f**2 - 7273*f - 7. Let c(r) = 213811*r**2 + 72775*r + 71. Let w(j) = 6*c(j) + 62*q(j). Factor w(o).
-4*(3*o + 1)*(3563*o + 2)
Let l(a) be the first derivative of -10952*a - 2/3*a**3 - 148*a**2 - 215. What is g in l(g) = 0?
-74
Let p = -203490 - -203490. Factor -6/7*o**2 - 4/7*o**3 + p + 2/7*o**4 + 0*o.
2*o**2*(o - 3)*(o + 1)/7
Factor 23/6*o**3 + 1/6*o**4 - 49/6*o**2 + 25/6*o + 0.
o*(o - 1)**2*(o + 25)/6
Let d(m) be the first derivative of 2*m**3/9 - 269*m**2/3 + 532*m + 10311. What is f in d(f) = 0?
3, 266
Let u(b) = 10*b**3 - 12*b**2 + 24*b + 34. Let z(w) = -8*w**3 + 12*w**2 - 23*w - 33. Let i(o) = -5*u(o) - 6*z(o). Factor i(j).
-2*(j - 2)*(j + 1)*(j + 7)
Let b(l) be the third derivative of 0*l - 5/4*l**4 + 1/2*l**6 + 2*l**2 + 11/12*l**5 + 0*l**3 - 5/42*l**7 - 86. Factor b(a).
-5*a*(a - 3)*(a + 1)*(5*a - 2)
Let -200/17 + 0*z + 2/17*z**2 = 0. What is z?
-10, 10
Determine g so that 216/7 + 126*g - 170/7*g**3 + 30/7*g**2 - 6/7*g**4 + 8/7*g**5 = 0.
-3, -1/4, 3, 4
Let p = 177 + -57. Let u = -73 + p. Factor 5*g**3 - 10 - u*g**2 + 62*g**2 - 7*g + 2*g - 2*g**4 - 3*g**4.
-5*(g - 2)*(g - 1)*(g + 1)**2
Solve -3044/9 + 3046/9*g - 2/9*g**2 = 0 for g.
1, 1522
Let k(r) be the second derivative of r**7/84 + 224*r**6/15 + 133653*r**5/20 + 3307837*r**4/3 - 26730899*r**3/12 - 2*r + 4304. Suppose k(t) = 0. Calculate t.
-299, 0, 1
Let z(a) be the second derivative of 5*a**4/12 - 1145*a**3/6 + 570*a**2 + 3350*a. Factor z(k).
5*(k - 228)*(k - 1)
Let s be 2/(-4) + 2/4. Suppose 117*k - 277 = -136*k + 482. Determine f, given that 0*f - 1/7*f**k + s + 0*f**2 = 0.
0
Let x(c) = -560*c**3 - 1269*c**2 - 24309*c - 131202. Let o(n) = 125*n**3 + 317*n**2 + 6077*n + 32801. Let j(b) = 9*o(b) + 2*x(b). Find f such that j(f) = 0.
-27, -9
Let i(h) be the first derivative of -3*h**5/25 - 3*h**4/5 + 9*h**3/5 + 54*h**2/5 - 6480. Let i(u) = 0. What is u?
-4, -3, 0, 3
Let m(b) be the second derivative of 12*b + 6/7*b**2 - 97/21*b**3 - 10 - 32/35*b**5 + 200/21*b**4. Factor m(t).
-2*(t - 6)*(8*t - 1)**2/7
Let f(q) be the third derivative of q**6/288 - q**5/60 + q**4/32 + 25*q**3/6 - 4*q**2 - 12*q. Let x(v) be the first derivative of f(v). What is d in x(d) = 0?
3/5, 1
Let i(o) be the third derivative of 10/3*o**4 - 400/9*o**3 + o**2 + 0*o + 14 - 1/10*o**5. Factor i(t).
-2*(3*t - 20)**2/3
Suppose 5*d + 124 - 189 = 0. Let v(x) be the first derivative of 1/5*x**2 - 3/10*x**4 + 4/15*x**3 + 0*x - d. Find n, given that v(n) = 0.
-1/3, 0, 1
Let a(j) = -24*j**2 + 88*j. Let d(p) = 12*p**2 + 20*p - 44*p - 20*p. Let n(z) = -4*a(z) - 7*d(z). Suppose n(f) = 0. Calculate f.
0, 11/3
Let j(r) be the third derivative of -r**7/42 + 51*r**6/4 - 23101*r**5/12 - 19635*r**4/2 - 59290*r**3/3 + 2*r**2 + 40*r. What is k in j(k) = 0?
-1, 154
Let c(l) be the second derivative of -1/6*l**5 - 16*l - 10/3*l**3 + 1/24*l**6 + 0 + 2*l**2 - 35/24*l**4. Let q(p) be the first derivative of c(p). Factor q(s).
5*(s - 4)*(s + 1)**2
Let b(l) be the third derivative of 2*l**7/105 - 8*l**6/3 - 86*l**5/15 + 68*l**4 - 162*l**3 - 245*l**2 + 7. Factor b(p).
4*(p - 81)*(p - 1)**2*(p + 3)
Let o be ((-9)/(-90))/((-11)/(-22)). Factor 4/5 + o*b**3 + 0*b - 3/5*b**2.
(b - 2)**2*(b + 1)/5
Let n(f) = -2*f**4 - 3*f**4 + 4*f + 3*f**4 + f**3 + 5 - 3*f**2. Let o = -290 + 285. Let q(h) = h**4 + h**2 - 2*h - 2. Let t(y) = o*q(y) - 2*n(y). Factor t(m).
-m*(m - 1)*(m + 1)*(m + 2)
Let -387/7*q**3 + 0 - 132/7*q - 393/7*q**2 - 123/7*q**4 + 3/7*q**5 = 0. Calculate q.
-1, 0, 44
Let i(p) be the second derivative of 8*p - 193/50*p**5 + 44/75*p**6 + 211/15*p**4 - 92/3*p**3 + 0 + 40*p**2 - 4/105*p**7. What is j in i(j) = 0?
2, 5/2
Let r be (1206/288 - 2) + 2/(-3 + 2). Let d(j) be the first derivative of 1/4*j**3 + 0*j - r*j**4 + 0*j**2 - 19 + 1/8*j**6 - 3/20*j**5. Factor d(i).
3*i**2*(i - 1)**2*(i + 1)/4
Solve -138744/7*c**2 - 17672*c - 14678/7*c**3 + 0 + 360/7*c**4 - 2/7*c**5 = 0.
-7, -1, 0, 94
Let v(s) = 7*s**4 + 323*s**3 - 12331*s**2 + 151979*s + 70. Let w(r) = 5*r**4 + 215*r**3 - 8221*r**2 + 101320*r + 49. Let x(f) = 7*v(f) - 10*w(f). Factor x(p).
-p*(p - 37)**3
Let b(k) be the first derivative of -k**6/900 - k**5/75 - k**4/20 + 2*k**3/3 + 21*k**2/2 - 42. Let d(o) be the third derivative of b(o). What is x in d(x) = 0?
-3, -1
Let j(p) = 53*p - 1111. Let a be j(23). Let f be (2688/a)/(-8) - (3 - 7). Suppose -2/9*s**3 + f*s**2 - 10/9*s + 4/9 = 0. Calculate s.
1, 2
Let t(q) be the third derivative of -q**7/1260 + 19*q**6/360 - 73*q**5/360 + q**4/4 - 58*q**2 - 13. Determine y, given that t(y) = 0.
0, 1, 36
Let b(x) be the third derivative of 0*x - 1 - 1/140*x**5 - 2888/7*x**3 + 106*x**2 + 19/7*x**4. Factor b(k).
-3*(k - 76)**2/7
Suppose -5 = -2*b + 5*c, 7*b - 10*b - 5*c + 20 = 0. Factor -18*r - 12*r + 25 - b*r**2 + 10*r.
-5*(r - 1)*(r + 5)
Let b(f) be the second derivative of 0 - 246*f - 1/15*f**3 - 1/60*f**4 + 3/10*f**2. Solve b(z) = 0.
-3, 1
Let m(a) = 3*a**2 + 259*a - 8712. Let d(z) = z**2 + 130*z - 4356. Suppose -6*l - t = 27 + 5, -t - 2 = 0. Let q(n) = l*d(n) + 2*m(n). Factor q(c).
(c - 66)**2
Suppose 3*f = 6*w - 18, -2*w = 616*f - 615*f - 6. Let 0*t - 4*t**2 + f + 1/2*t**3 = 0. Calculate t.
0, 8
Suppose 11*p - 19*p + 240 = 0. Suppose 3*y - p = -7*y. Factor -2*a**y - 109*a + 55*a + 54*a + 4*a**2.
-2*a**2*(a - 2)
Suppose -8 + 2 = -2*t. Factor 17*g**t - 36*g**2 - 8*g**3 - 13*g**3.
-4*g**2*(g + 9)
Let g = 179 - 72. Determine m so that 392 - 82*m - 54*m**2 - g*m - 2*m**3 - 147*m = 0.
-14, 1
Let d(f) = f**2 + f. Let v(r) = 15*r**2 + 60*r + 125. Suppose -3*u - 38 = -2*x, x = -u - u - 16. Let w(j) = u*d(j) + v(j). Factor w(p).
5*(p + 5)**2
Let r(y) = -23*y**4 + 29*y**3 + 25*y**2 - 33*y + 6. Suppose 47 = 3*z + 35. Let o(x) = -1116 - x**2 + 1116 - x**z + x**3. Let c(s) = -4*o(s) - r(s). Factor c(p).
3*(p - 1)**2*(p + 1)*(9*p - 2)
Let y(w) be the second derivative of w**6/75 + 43*w**5/50 + 41*w**4/30 - 43*w**3/15 - 42*w**2/5 + 10221*w. What is j in y(j) = 0?
-42, -1, 1
Let f = -45 + 108. Let n = -61 + f. Determine a, given that 0*a**n + a**2 + 0*a - 2*a + 9*a = 0.
-7, 0
Let b(j) = 33*j**2 + 141*j + 64. Let i(w) = 15*w**2 + 141*w + 63. Let d(l) = 3*b(l) - 4*i(l). Suppose d(n) = 0. Calculate n.
-5/13, 4
Suppose -12*x - 47 = -299. Determine a, given that 1416 + 159*a**2 + 2184*a + 14*a**3 - 32*a**3 + 612 + x*a**3 = 0.
-26, -1
Let 6*q - 3*q**3 - 3*q**5 - 45/4*q**4 + 27/2*q**2 - 9/4 = 0. Calculate q.
-3, -1, 1/4, 1
Let q(v) be the second derivative of -v**5/130 + 77*v**4/78 + v**3/39 - 77*v**2/13 - 2256*v. Factor q(n).
-2*(n - 77)*(n - 1)*(n + 1