ive of -15*z**4/4 + 307*z**3 - 633*z**2 + 360*z - 59. Factor i(b).
-3*(b - 60)*(b - 1)*(5*b - 2)
Let i(s) be the third derivative of -s**8/1512 - 2*s**7/945 + s**6/60 + s**5/15 - 5*s**2 - 51. Let i(w) = 0. Calculate w.
-3, -2, 0, 3
Solve -1528/3*q**3 - 2344*q**2 - 44*q**4 - 1452 - 9988/3*q - 4/3*q**5 = 0 for q.
-11, -9, -1
Let t(a) be the first derivative of 1/16*a**4 - 87 + a**2 + 0*a - 1/2*a**3. Factor t(p).
p*(p - 4)*(p - 2)/4
Suppose -2*y + 4*y + 4 = 0. Let u be y + 36546/22 + (-2)/11. Let 1655*v**2 - v + 17*v - u*v**2 = 0. Calculate v.
0, 4
Determine n so that -40*n - 438/11 - 2/11*n**2 = 0.
-219, -1
Suppose 7*i - 3*i = 8. Suppose -i*p + 26 - 22 = 0. Factor o**5 + 2*o**2 - p*o**2 - 3*o**3 - 2*o**2.
o**2*(o - 2)*(o + 1)**2
Let d = -59 + 64. Solve 20*t**3 + 510 + 0*t**5 - 6*t**4 - 446 + 144*t - 2*t**d + 104*t**2 = 0.
-2, -1, 4
Let p(b) = 5*b**2 + 84*b - 860. Let k(l) = -2*l**2 - 28*l + 298. Let o(j) = -8*k(j) - 3*p(j). Solve o(s) = 0 for s.
14
Let s = 2697049/6 + -449508. Factor -5/6*l - 4 + s*l**2.
(l - 8)*(l + 3)/6
Let w(f) be the first derivative of 0*f**2 + 33 + 20/3*f**3 + 1/6*f**6 - 1/2*f**5 - 5/3*f**4 - 33*f. Let v(t) be the first derivative of w(t). Factor v(i).
5*i*(i - 2)**2*(i + 2)
Let j(f) be the second derivative of f**7/168 - 7*f**6/20 + 549*f**5/80 - 189*f**4/4 + 243*f**3/2 - f - 381. Let j(l) = 0. What is l?
0, 3, 18
Let w = 409115/2 + -204547. Factor -3/2*r**2 - 12*r - w.
-3*(r + 1)*(r + 7)/2
Suppose -595 - 551 = -382*q. Let g(s) be the third derivative of 0*s + 38*s**2 - 1/150*s**6 - 8/15*s**q + 2/15*s**4 + 1/75*s**5 + 0. Factor g(k).
-4*(k - 2)*(k - 1)*(k + 2)/5
Let o = 15810/179699 - 8/7813. Factor -o*r + 2/23*r**2 + 0.
2*r*(r - 1)/23
Let f(t) = 0*t + 7*t**2 + 5*t**3 + 2*t**3 - 2*t. Suppose -98*v = -7*v + 819. Let n(u) = -15*u**3 - 15*u**2 + 3*u. Let s(d) = v*f(d) - 4*n(d). Factor s(r).
-3*r*(r - 1)*(r + 2)
Suppose 5*d - 136 = 4*z - 1247, -448 = 2*d + 2*z. Let r = d + 895/4. Solve 0 + 5/4*i**2 + r*i**4 + 1/4*i + 7/4*i**3 = 0.
-1, -1/3, 0
Let s(f) = -f**3 + 78*f**2 + 791*f - 694. Let b be s(87). Factor -1536/23*k + 8192/23 - 2/23*k**3 + 96/23*k**b.
-2*(k - 16)**3/23
Let o = 1055797/3 + -351927. Factor -50/3*w**3 - 2/3*w**5 - 56/3*w + o*w**4 + 16/3 + 76/3*w**2.
-2*(w - 2)**3*(w - 1)**2/3
Let o(c) be the third derivative of c**7/1680 + 19*c**6/320 - 19*c**5/16 + 49*c**4/6 - 22*c**3 - 271*c**2. Factor o(h).
(h - 4)**2*(h - 1)*(h + 66)/8
Let h(b) be the second derivative of -b**5/80 + 221*b**4/48 - 109*b**3/3 + 217*b**2/2 + 10522*b. Solve h(l) = 0 for l.
2, 217
Let j be 4/10 + 65/25. Let s be 121/(51667/(-244))*(-7)/2. Factor 3/7*c - 48/7*c**4 + 3*c**s + 24/7*c**j + 0.
-3*c*(c - 1)*(4*c + 1)**2/7
Let b(w) = -5*w**2 + 405*w + 530. Let x(q) = -22*q - 2. Let i(f) = -b(f) - 15*x(f). Solve i(o) = 0 for o.
-5, 20
Let h(l) = -41*l + 27. Let p be h(-1). What is f in 8 + p*f - 6*f**3 + 29 + 4 + 2*f**3 - 5 + 28*f**2 = 0?
-1, 9
Suppose 3*z + 164*h = 169*h + 69, 3*z + 51 = -5*h. Factor 9*b + 1/2*b**z - 11/2*b**2 + 0.
b*(b - 9)*(b - 2)/2
Let b = 3330461/11 + -302769. Factor 34/11*k + 36/11*k**2 + 0 + b*k**3.
2*k*(k + 1)*(k + 17)/11
Suppose 4*i - 48 = -2*n, -4*n - 36 - 24 = -5*i. Let b(a) = 2*a + 17. Let j be b(-7). Factor v + i*v**3 + 0 - 2*v**2 + 2 - 13*v**j.
-(v - 1)*(v + 1)*(v + 2)
Let m(k) = -7*k**2 - 10*k + 2. Let b = -33 - -22. Let r(h) = -13*h**2 - 19*h + 3. Let f(p) = b*m(p) + 6*r(p). Factor f(q).
-(q + 2)**2
Suppose 843 + 525 = 2*k. Factor -k*d**3 + 277*d - 139*d - 10*d**2 - 138*d - 471*d**3.
-5*d**2*(231*d + 2)
Let f(k) be the second derivative of -1/6*k**4 - 25 + k - 3*k**2 + 4/3*k**3. Factor f(i).
-2*(i - 3)*(i - 1)
Let s(b) = 12*b**3 + 93*b**2 - 6*b + 11. Let r be s(-7). Suppose 0 = -10*j - r + 514. Factor 0*f + 2/15*f**4 + 0*f**3 - 4/15*f**j + 2/15.
2*(f - 1)**2*(f + 1)**2/15
Let i(y) be the third derivative of y**5/12 - 55*y**4/8 - 700*y**3/3 + 3031*y**2. Determine q so that i(q) = 0.
-7, 40
Let s = 47349 - 47347. Factor -3/4*n**s + 0 - 15/4*n.
-3*n*(n + 5)/4
Let v = 1225/9 + -4873/36. Factor v*t**2 - 15/2*t - 33/4.
3*(t - 11)*(t + 1)/4
Let p(q) = -5*q**2 + 230*q + 50. Let m(t) = 3*t**2 - 130*t - 25. Let f(u) = 7*m(u) + 4*p(u). Solve f(j) = 0 for j.
-5
Let l be (6 - -3)/((-5)/25). Let y be -2 + l/(-20) + (-115)/(-4). Determine m, given that -8 + 14*m**2 - y*m**2 + 13*m**2 - 8*m = 0.
-2
Suppose 23*l + 17592 = -9916. Let g = 1201 + l. Factor 0*d - 1/4*d**3 + 1/4*d**4 - 1/4*d**2 + 0 + 1/4*d**g.
d**2*(d - 1)*(d + 1)**2/4
Let p(k) be the third derivative of -16/51*k**3 - 3/170*k**5 + 103*k**2 + 0*k - 2/17*k**4 + 0. Factor p(d).
-2*(3*d + 4)**2/17
Suppose -2*t = -2*m - 12, -6*t - 2*m - 14 = -9*t. Factor w**5 - 284*w**2 - 26*w**4 + 348*w**2 + 32*w**3 - t*w**4 + 3*w**5.
4*w**2*(w - 4)**2*(w + 1)
Let x(t) be the third derivative of 0 - 8*t**2 - 40/3*t**4 - 1/24*t**6 + 19/12*t**5 + 50*t**3 + 4*t. Factor x(p).
-5*(p - 15)*(p - 2)**2
Let f be 69/(-1242) - 539/(-630). Factor f + t**3 + 17/5*t**2 + 16/5*t.
(t + 1)*(t + 2)*(5*t + 2)/5
Let a(x) be the second derivative of -10/3*x**3 - x + 1/20*x**5 + 0*x**2 - 1/12*x**4 + 14. Let a(w) = 0. Calculate w.
-4, 0, 5
Let x be ((-8)/(-60))/(2/9). Let j be 487/12662 + (-47)/(-130). Factor -j - x*t + t**2.
(t - 1)*(5*t + 2)/5
Let l(a) = -a**2 - 13*a - 28. Let v be l(-10). Suppose -27*x**2 + 166*x**3 + 136*x - 39*x**2 - 162*x**3 - 10*x**v = 0. Calculate x.
0, 2, 17
Let z(q) be the second derivative of -1/4*q**4 + 3/2*q**3 + 0*q**2 - 25*q - 2. Determine l, given that z(l) = 0.
0, 3
Let f(k) be the second derivative of k**7/840 + k**6/180 + k**5/120 - k**3/3 + 5*k**2 + 4*k. Let m(o) be the second derivative of f(o). Factor m(d).
d*(d + 1)**2
Let g(i) be the second derivative of i**6/50 + 111*i**5/100 - i**4/20 - 37*i**3/10 - 2*i + 1665. Factor g(o).
3*o*(o - 1)*(o + 1)*(o + 37)/5
Let p(f) be the second derivative of f**6/270 - 245*f**5/36 + 13906*f**4/3 - 1266976*f**3 + 3773184*f**2 - 10489*f. Factor p(y).
(y - 408)**3*(y - 1)/9
Let q(l) = 1354*l - 36555. Let j be q(27). Factor -15/7*z + z**2 - 1/7*z**4 + 3/7*z**j - 18/7.
-(z - 3)**2*(z + 1)*(z + 2)/7
Let l(y) = -2*y**2 - 233*y + 5780. Let r be l(21). Solve 680/9*k - 661/9*k**2 - 1753/9*k**3 - 16/9*k**r - 100/9 - 328/9*k**4 = 0 for k.
-10, -1, 1/4
Determine f, given that -4*f**3 - 8*f - 5*f - 18*f**3 + 20*f**3 - 4 - 11*f**2 = 0.
-4, -1, -1/2
Let u be (-8)/(1224/(-36) + 30). Factor 3/5*s**4 + 0*s**u - 6/5*s**3 + 0*s + 0.
3*s**3*(s - 2)/5
Let -172/9*c**3 + 4*c**4 - 112/9*c**2 + 490/3*c + 1372/9 - 2/9*c**5 = 0. What is c?
-2, -1, 7
Let j(k) = k**3 - 4*k**2 + 2604*k - 7801. Let h be j(3). Factor -3/2*x**h + 54*x - 486.
-3*(x - 18)**2/2
Let m = -161 + 655. Let s be m/84 + (-59)/354. Factor 2/7*n**2 + s + 2/7*n**3 - 32/7*n.
2*(n - 2)**2*(n + 5)/7
Let u be (-360)/((-240)/(-12))*(16/(-6))/2. Factor 2/7*b**2 + u*b + 504.
2*(b + 42)**2/7
Let x(d) be the first derivative of 1375*d**4/12 + 920*d**3/3 + 10*d**2/3 + 2079. Factor x(b).
5*b*(b + 2)*(275*b + 2)/3
Suppose 0 = 41*j - 1386 + 197. Let k(l) be the first derivative of 4/5*l**5 + 0*l + 2/3*l**6 - 4*l**4 - j + 0*l**2 - 16/3*l**3. Determine c so that k(c) = 0.
-2, -1, 0, 2
Let r = 117 - 935/8. Let c = -13302 - -13304. Let 1/8 + 1/8*g**3 - 1/8*g**c - r*g = 0. What is g?
-1, 1
Factor 134*c**3 + 5*c**4 - 81*c**3 - 87 + 740*c - 330*c**2 - 18*c**3 - 433.
5*(c - 2)**3*(c + 13)
Let q be 25 + -36 - -17 - (-7)/(189/(-78)). Suppose q*o**4 - 76/9*o**3 + 76/9*o - 52/9*o**2 + 8/3 = 0. What is o?
-1, -2/7, 1, 3
Let o(m) be the second derivative of -1/8*m**3 + 0 + 7/16*m**2 + 117*m - 1/96*m**4. Factor o(u).
-(u - 1)*(u + 7)/8
Let r be (4 - (-4755)/(-450)) + 6/2. Let p = r - -32/5. Let p*j**3 - 1 - j**4 + 4/3*j**2 - 13/6*j = 0. What is j?
-2/3, -1/2, 1, 3
Let r = -39 + 42. Let y be ((-6)/5)/(r*12/(-810)). Factor 9*a**2 + 9*a**2 - 380 + y*a + 191 + 201 + 3*a**3.
3*(a + 1)**2*(a + 4)
Suppose -634*b - 1936*b**2 - 30*b + 969*b**2 + 27556 + 971*b**2 = 0. Calculate b.
83
Let d be ((-26)/4 + 8)*16/3. Suppose -2*i + d = -4*q, -3*q - 4 = -2*q - i. Let 2/5*u**3 + q*u**2 + 0 - 2/5*u = 0. What is u?
-1, 0, 1
Let d(f) = -2*f**2 - 18*f - 18. Let t(b) = b**2 + 17*b + 19. Let m(x) = -3*d(x) - 2*t(x). What is r in m(r) = 0?
-4, -1
Let l(a) be the third derivative of 4*a + 289/5*a**5 - 4913/120*a**6 - 34*a**4 + 32/3*a**3 - 22*a**2 + 0. Det