ative of d**5/15 - 28*d**4/3 - 160*d**3 - 2*d**2 - 649*d. Let u(h) = 0. Calculate h.
-4, 60
Let o(r) = -11*r**4 - 215*r**3 - 1719*r**2 - 1073*r + 454. Let k(h) = 21*h**4 + 430*h**3 + 3439*h**2 + 2144*h - 907. Let x(u) = 4*k(u) + 7*o(u). Factor x(c).
(c + 1)*(c + 15)**2*(7*c - 2)
Let h(f) be the third derivative of f**7/560 - 691*f**6/320 - 173*f**5/40 - 3472*f**2. Determine w, given that h(w) = 0.
-1, 0, 692
Let a(k) be the first derivative of -50 + 24*k**2 - 16/3*k**3 - k**4 + 0*k. Factor a(u).
-4*u*(u - 2)*(u + 6)
Let p(c) = -15*c**3 - 155*c**2 + 460*c - 480. Let x(v) = v**3 + v**2 + v + 1. Let a(u) = -p(u) - 20*x(u). What is y in a(y) = 0?
2, 23
Suppose 0 = 2312*f - 2337*f + 125. Let 0*t**2 - 8/3*t**3 + 0*t + 0 + 2*t**4 - 1/3*t**f = 0. Calculate t.
0, 2, 4
Let k(h) = -11*h**2 - 5111*h - 4904. Let z(b) = -9*b**2 - 5058*b - 4902. Let w(o) = -3*k(o) + 4*z(o). Determine x so that w(x) = 0.
-1632, -1
Let c = -491 - -491. Let g(q) be the second derivative of 0 - 1/3*q**3 - 2*q + 1/12*q**4 + c*q**2. Determine u, given that g(u) = 0.
0, 2
Let s = -25731/14 + 1838. Let w(v) be the first derivative of -s*v**4 + 8/21*v**3 + 4/7*v + 5 - 5/7*v**2. What is h in w(h) = 0?
1, 2
Solve 2888 + 2/3*q**5 + 3662/3*q**3 + 20672/3*q + 5170*q**2 + 54*q**4 = 0.
-38, -3, -1
Let k(s) be the second derivative of -s**7/1260 + s**6/90 - 2*s**4 - 31*s. Let x(i) be the third derivative of k(i). Factor x(y).
-2*y*(y - 4)
Let i(u) be the first derivative of -u**6/6 - 27*u**5/10 + 17*u**4/8 + 41*u**3/6 - 15*u**2/4 - 7*u - 1386. Let i(p) = 0. What is p?
-14, -1, -1/2, 1
Factor 10/7*p**3 + 242/7*p + 104/7 + 148/7*p**2.
2*(p + 1)*(p + 13)*(5*p + 4)/7
Let y(u) be the third derivative of -1/54*u**4 - 1/1080*u**6 + 0 - 76*u**2 + 0*u**3 + 0*u + 1/135*u**5. Factor y(r).
-r*(r - 2)**2/9
Determine q so that 24 - 24*q**3 + 58*q**3 - 6*q**2 - 25*q**3 + 95*q - 67*q + q**5 - 20*q**3 = 0.
-2, -1, 2, 3
Find w such that -78*w**5 + 62*w**2 + 49*w - 81*w**5 + 160*w**5 + 22*w**2 - 3*w**3 + 25*w**3 - 12*w**4 = 0.
-1, 0, 7
Factor -1962/5 + 1959/5*d + 3/5*d**2.
3*(d - 1)*(d + 654)/5
Suppose 23*t = 6*t - 8500. Let z = 501 + t. Determine c, given that -c + z + 1/4*c**2 = 0.
2
Let h(p) be the third derivative of 0*p**3 + 1/7*p**7 + 0*p**4 + 0*p + 3/8*p**6 + 42*p**2 + 5/336*p**8 + 0 + 1/3*p**5. Determine w, given that h(w) = 0.
-4, -1, 0
Let h(y) be the third derivative of 0*y**3 - 1/240*y**6 + 56 + 7/60*y**5 - 13/48*y**4 + 2*y**2 + 0*y. Solve h(u) = 0.
0, 1, 13
Let g be 54/(-81)*(-2)/4*-9. Let w be ((-10)/78)/(g*5/90). Solve 8/13 + 16/13*n + w*n**2 + 2/13*n**3 = 0 for n.
-2, -1
Suppose 387*c - 389*c + 4 = 0. Suppose -4*q**3 + 4/5*q**c - 4/5 + 4*q = 0. What is q?
-1, 1/5, 1
Suppose 2*s - 10 = -p, -3*s = -2*p - 6 + 5. Factor 354*l - 2*l**3 - 3*l**3 + s*l**3 + 3*l**3 + 42*l**2 + 87*l.
l*(l + 21)**2
Let x(y) be the first derivative of y**6/120 - y**5/80 - y**4/16 + 5*y**3/24 - y**2/4 - 14*y + 2. Let t(d) be the first derivative of x(d). Factor t(z).
(z - 1)**3*(z + 2)/4
Let d(r) be the third derivative of r**7/10 - 239*r**6/20 - 347*r**5/20 + 69*r**4/4 - 1751*r**2. Factor d(y).
3*y*(y - 69)*(y + 1)*(7*y - 2)
Let g be ((-9)/(-771))/((-225)/(-375)). Let p = 287/1542 - g. Factor -3/2 - 4/3*j + p*j**2.
(j - 9)*(j + 1)/6
Let b(z) be the first derivative of 2*z**5/7 - 7*z**4 + 290*z**3/21 - 16*z**2/7 - 72*z/7 + 3256. Find y, given that b(y) = 0.
-2/5, 1, 18
Let x(o) = -39*o**3 - 792*o**2 + 1569*o - 780. Let t(r) = -110*r**3 - 2375*r**2 + 4706*r - 2340. Let z(q) = 6*t(q) - 17*x(q). Factor z(m).
3*(m - 260)*(m - 1)**2
Let o be 6 - 5/(55/(-66)). Suppose o*w = 10*w - 4*d + 22, 4*w = d + 8. Factor 0 - 2/3*q + q**2 - 1/3*q**4 + 0*q**w.
-q*(q - 1)**2*(q + 2)/3
Let 356/5*h + 47526/5 + 2/15*h**2 = 0. What is h?
-267
Suppose -2*u - 356*m + 355*m + 68 = 0, -11*u - m = -356. Factor 0 - 4/3*r**3 - 8/3*r**2 + u*r.
-4*r*(r - 4)*(r + 6)/3
Let b = 11 + -8. Suppose -20 = -3*w + 2*x, -2*w = -x + b*x. Factor -5*n + n**2 - 5*n**w - 5*n**5 + n**2 - 5 + 10*n**3 + 8*n**2.
-5*(n - 1)**2*(n + 1)**3
Let r be 33 + 43/((-1290)/975). Suppose -1/6*d**3 - 7/6*d - 5/6*d**2 - r = 0. What is d?
-3, -1
Let q = -2/3987 + 131575/7974. Let g(n) be the first derivative of -9*n + q*n**2 + 4*n**4 - 40/3*n**3 - 28. Factor g(b).
(b - 1)*(4*b - 3)**2
Let q = -3613/8 - -61437/136. Determine l, given that -6/17*l**2 + 6/17 + q*l**3 - 2/17*l = 0.
-1, 1, 3
Let q(c) = -304*c**2 + 45 - 20*c + 138*c**2 + 141*c**2. Let l(v) = 2*v**2 - v + 1. Let p(x) = -15*l(x) - q(x). Determine s so that p(s) = 0.
3, 4
Solve -5488/3 - 3388*z**2 + 2662/3*z**3 + 4312*z = 0 for z.
14/11
Let r be 11/((-77)/(-56)) + 1404. Factor 167*a - 4511 - r*a**2 + 107*a + 1410*a**2 - 291 - 78*a.
-2*(a - 49)**2
Let q(k) be the first derivative of k**3/12 + 5*k**2/4 + 4*k - 1479. Solve q(c) = 0 for c.
-8, -2
Suppose -i = 0, 0 = 4*n - 3*i - 0*i + 260. Let s = n + 68. Factor 0*p**3 - 3*p**3 + 4*p**s - 2*p**2.
p**2*(p - 2)
Let v(t) be the first derivative of 3/4*t**4 - 15/2*t**2 - 6*t - 45 - 3*t**3 + 3/5*t**5. Factor v(z).
3*(z - 2)*(z + 1)**3
Let y be 3/(-15)*10/(-3) + (-14)/(-6). Let z(x) be the first derivative of -2/3*x**y + 0*x**2 + 15 + 0*x. Solve z(t) = 0 for t.
0
Let q(c) = c**2 - c - 1. Suppose -9 = h + h + s, -3*s - 9 = -3*h. Let i be q(h). Find j, given that 5 + 8*j - 4*j**2 + i*j**2 - 10*j + 8*j = 0.
-5, -1
Let x(z) be the first derivative of -8/5*z - 26 - 8*z**2 - 66/5*z**3. Solve x(l) = 0 for l.
-2/9, -2/11
Find p, given that -41 - 4*p**4 - 31 - 4*p - 34 + 8*p**3 + 8*p**2 - 2 - 4*p**5 + 104 = 0.
-1, 1
Let d = -106388/85 - -21298/17. Factor d*l**4 + 4/5*l**3 + 0*l**2 + 0 + 2/5*l**5 + 0*l.
2*l**3*(l + 1)*(l + 2)/5
Let j = 934 + 137. Let k = j - 1067. Factor 0*t**2 - 4/5*t**k + 0*t + 0 + 0*t**3 - 2/5*t**5.
-2*t**4*(t + 2)/5
Let p(h) = 58*h**2 - 810*h - 6338. Let r(j) = -6*j**2 + 90*j + 704. Let q(w) = 4*p(w) + 38*r(w). Find o such that q(o) = 0.
-35, -10
Suppose 109*y - 310*y = -1005. Let p(v) be the third derivative of 0 + 0*v**3 + 3/140*v**7 - 29*v**2 - 1/40*v**y + 0*v + 1/40*v**6 + 0*v**4. Factor p(b).
3*b**2*(b + 1)*(3*b - 1)/2
Suppose -2*d + 95*d + 13 - 33 + 20 = 0. Suppose 0 + d*t - 36/7*t**3 + 80/7*t**2 + 4/7*t**4 = 0. Calculate t.
0, 4, 5
Let s(p) be the second derivative of -p**5/10 + 319*p**4/6 + 1289*p**3/3 + 969*p**2 + 355*p - 4. Solve s(o) = 0.
-3, -1, 323
Let c(k) be the third derivative of 277*k**6/60 + k**5/15 - 36*k**2 - 7*k. Factor c(p).
2*p**2*(277*p + 2)
Let b(c) be the second derivative of 2*c + 0*c**2 - 3*c**3 + 32 - 1/6*c**4. Factor b(j).
-2*j*(j + 9)
Let s(r) = 2*r**2 + 14*r - 12. Let i(w) = w**2 + 7*w - 6. Let y(g) = 5*i(g) - 3*s(g). Let f be y(-7). Factor f*p + p**2 + 0*p**2 - 4*p**2.
-3*p*(p - 2)
Suppose 557*v - 560*v + 33 = 4*b, b = v - 4. Factor -2/9*z**b - 2/9*z + 4/9*z**2 + 0.
-2*z*(z - 1)**2/9
Let j(c) be the second derivative of -1/24*c**4 - 2*c + 5/3*c**3 + 64 + 21/4*c**2. Determine g so that j(g) = 0.
-1, 21
Let m(c) = -3*c - 30. Let w be m(-11). Suppose -w*g + 0 + 9 = 0. Factor 6*y**4 + 9*y**3 + g*y + 3*y - 15*y**2 - 3*y**4 - 3*y**5.
-3*y*(y - 1)**3*(y + 2)
Let a(b) be the first derivative of -b**4/6 + 10*b**3/9 + 16*b**2 - 72*b + 2126. Factor a(j).
-2*(j - 9)*(j - 2)*(j + 6)/3
Let m(n) be the first derivative of -n**6/540 - n**5/90 + 14*n**2 - 33. Let r(w) be the second derivative of m(w). Factor r(u).
-2*u**2*(u + 3)/9
Suppose -6*u + 5*d = -u - 600, 4*u = -d + 505. Let -62*h**2 - 1 - 62*h**2 + u*h**2 = 0. What is h?
-1, 1
Let z(s) = -15*s**4 + 27*s**3 + 24*s**2 - 6*s - 6. Let b(y) = 13*y**4 - 26*y**3 - 24*y**2 + 5*y + 5. Let r(a) = -6*b(a) - 5*z(a). Determine j so that r(j) = 0.
-1, 0, 8
Let h(b) = b**3 + 39*b**2 + 113*b + 184. Let v be h(-36). Let s(x) be the second derivative of 0 - 1/9*x**3 - 11*x + 0*x**2 - 1/36*x**v. Factor s(l).
-l*(l + 2)/3
Let u be ((-12)/40)/(56/(-1680)). Let p(b) be the third derivative of 1/15*b**5 + 0*b + 0 + 2/3*b**3 - 5/12*b**4 - u*b**2. Factor p(h).
2*(h - 2)*(2*h - 1)
Solve 183/4*r + 39 - 15/4*r**2 = 0 for r.
-4/5, 13
Let k = -17542 + 17654. Factor -k*i**3 + 0 - 8*i + 49/2*i**4 + 58*i**2.
i*(i - 4)*(7*i - 2)**2/2
Let -7/6*k**4 + 275/6*k**2 + 27/2*k**3 + 142/3*k + 16 - 1/6*k**5 = 0. Calculate k.
-12, -1, 8
Let o = 63 + -61. Factor 15*b + 80*b**2 - 162*b**o + 79*b**2.
-3*b*(b - 5)
Let u(h) be the first derivative of 