of -3/4*u**5 - 1/70*u**7 - 19/10*u**4 + 107*u - 4/25*u**6 - 12/5*u**2 - 14/5*u**3 + 0. Factor z(r).
-3*(r + 1)**2*(r + 2)**3/5
Suppose 7*r - 42 = 5*r. Factor -r*a**4 - 87*a**2 - 39*a - 74*a**3 + 20*a**3 - 3*a**5 + 21*a**2 - 9.
-3*(a + 1)**4*(a + 3)
Let r(a) be the second derivative of 1 + 0*a**2 + 3/40*a**5 - 23/120*a**6 + 1/24*a**7 + 0*a**4 + 0*a**3 - 23*a. Factor r(d).
d**3*(d - 3)*(7*d - 2)/4
Let a(q) be the first derivative of -50*q**7/63 - 46*q**6/9 + 49*q**5/15 - 5*q**4/9 + 5*q - 324. Let x(b) be the first derivative of a(b). Factor x(s).
-4*s**2*(s + 5)*(5*s - 1)**2/3
Let z(k) be the second derivative of -k**5/20 + 5*k**4/2 - 27*k**3/2 - 1684*k. Solve z(p) = 0 for p.
0, 3, 27
Find r such that 46 - 1/4*r**2 - 15/4*r = 0.
-23, 8
Let m(f) be the third derivative of f**8/1176 + 2*f**7/105 + f**6/10 - 4*f**5/21 - 107*f**4/84 + 30*f**3/7 - 1193*f**2. Suppose m(d) = 0. What is d?
-9, -5, -2, 1
Let t(h) be the first derivative of 3*h**4 + 188*h**3/3 + 352*h**2 - 256*h + 2977. Factor t(q).
4*(q + 8)**2*(3*q - 1)
Let r = -591 - -1065. Let h = r - 474. Determine f so that 4*f**3 - 4/3*f**2 + 0*f - 4*f**4 + 4/3*f**5 + h = 0.
0, 1
Let w(g) be the second derivative of -35/12*g**4 + 6*g + 0*g**2 + 0 - 1/4*g**5 - 5*g**3. Suppose w(z) = 0. Calculate z.
-6, -1, 0
Let m(q) be the second derivative of q**7/42 - q**6/3 - 67*q**5/20 + 187*q**4/3 + 182*q**3 - 7056*q**2 - 10*q + 139. Factor m(t).
(t - 8)*(t - 7)**2*(t + 6)**2
Let q = 80 - 64. Let i = -13 + q. Factor -10 + 3*m + 5*m**2 + i*m - m.
5*(m - 1)*(m + 2)
Let w(m) be the second derivative of -m**4/66 + 256*m**3/33 - 255*m**2/11 - 668*m. Factor w(n).
-2*(n - 255)*(n - 1)/11
Let q(s) be the first derivative of -s**6/12 + 39*s**5/5 - 57*s**4/2 + 113*s**3/3 - 75*s**2/4 - 4474. Factor q(j).
-j*(j - 75)*(j - 1)**3/2
Let u(d) be the first derivative of 2/7*d**2 - 1/21*d**3 - 3/7*d - 137. Solve u(j) = 0.
1, 3
Let j be (59 - 61)/((-4)/6). Let a(s) be the second derivative of 4/13*s**2 - 4*s - 5/78*s**4 + 0 + 8/39*s**j. Factor a(n).
-2*(n - 2)*(5*n + 2)/13
Let y(m) be the second derivative of m**5/140 + 33*m**4/28 + 432*m**3/7 + 3456*m**2/7 + 792*m - 1. Solve y(t) = 0 for t.
-48, -3
Let g = -2863830/11 + 260350. Let -2/11*a**4 - 6/11 - g*a - 12/11*a**3 - 24/11*a**2 = 0. Calculate a.
-3, -1
Let f(o) = 8*o**3 + 11*o**2 + 2*o - 6. Let x(n) = 9*n**3 + 12*n**2 + 3*n - 6. Suppose 41 = -14*d - 29. Let c(m) = d*x(m) + 6*f(m). Factor c(g).
3*(g - 1)*(g + 1)*(g + 2)
Factor 430*a**4 - 11520*a + 11184*a**2 - 425*a**4 + 129*a**3 - 144*a**2 + 346*a**3.
5*a*(a - 1)*(a + 48)**2
Let g(f) = 4*f**2 + 31*f + 21. Let q be g(10). Let j = q - 729. Factor -4/3*h**3 + 2/3*h + 0 - 2/3*h**j.
-2*h*(h + 1)*(2*h - 1)/3
Factor -14*v**3 + 31*v + 10601*v**2 - 12*v**3 - 10602*v**2 - 5*v + v**4.
v*(v - 26)*(v - 1)*(v + 1)
Let g(p) be the second derivative of 0*p**3 + 26*p - 1/4*p**5 + 0 - 5/4*p**4 + 10*p**2. Factor g(y).
-5*(y - 1)*(y + 2)**2
Let o(c) = 8*c - 6. Let p = 37 - 35. Let n be o(p). Factor -i - 16*i**5 + 90*i**4 + 0*i - 33*i**3 - 50*i**4 + n*i**2.
-i*(i - 1)**2*(4*i - 1)**2
Let y = 251200 - 251197. Factor 207/8*s**2 + 459*s + 867/2 + 3/8*s**y.
3*(s + 1)*(s + 34)**2/8
Let i be -1 + (-14)/(-9) + 44/99. Suppose -4*q - 2 = -3*x - i, 2*q = 4*x - 8. Let 0 + 0*b + 32/7*b**2 - 16/7*b**x + 2/7*b**4 = 0. What is b?
0, 4
Let m(x) be the third derivative of -2*x**5/165 - 553*x**4/132 - 46*x**3/11 - 704*x**2. Factor m(q).
-2*(q + 138)*(4*q + 1)/11
Let r(c) be the first derivative of c**6/6 + 33*c**5/4 + 158*c + 78. Let g(t) be the first derivative of r(t). Factor g(x).
5*x**3*(x + 33)
Solve 1/2*h**4 + 880*h**2 - 42*h**3 + 168*h - 3528 = 0 for h.
-2, 2, 42
Suppose 0 = -4*t + 3*t - 1. Suppose 0 = 3*c + 25 - 31. Let q(p) = 5*p**2 - 5*p - 2. Let z(l) = -l**2. Let x(o) = c*z(o) + t*q(o). Solve x(d) = 0 for d.
-2/7, 1
Let b = -373 + 346. Let d be ((-36)/b)/((-6)/(-9)). What is q in -16/5*q**d + 2/15*q**5 + 0 + 44/15*q**3 - 16/15*q**4 + 6/5*q = 0?
0, 1, 3
Let z(a) be the second derivative of a**4/30 - 128*a**3/15 + 127*a**2/5 + 1868*a. Factor z(q).
2*(q - 127)*(q - 1)/5
Let h(d) be the second derivative of -d**5/8 - 5*d**4/6 - 5*d**3/12 + 15*d**2/2 + 1144*d. Solve h(j) = 0.
-3, -2, 1
Solve -752*p + 49*p**5 - 14214 - 70*p**4 - 1032*p**3 + 28396 - 1744*p**2 - 14278 = 0 for p.
-2, -2/7, 6
Let s(c) = 83*c + 3569. Let n be s(-43). Let t(f) be the second derivative of -1/42*f**4 + n*f**2 - 44*f + 2/7*f**3 + 0. Factor t(b).
-2*b*(b - 6)/7
Let p be 1 + 9 - (-48)/(-8). Suppose 146*g - 6 = 149*g - 2*r, -r = -p*g - 3. Factor -2/9*t**4 - 2/9*t**3 + 0 + g*t**2 + 0*t.
-2*t**3*(t + 1)/9
Let x(k) be the third derivative of 2*k**2 - 1/65*k**5 + 0 + 0*k**3 - 5/156*k**4 - 1/780*k**6 + 17*k. Factor x(d).
-2*d*(d + 1)*(d + 5)/13
Let n be (14/(-153))/(-2) - (-333)/1887. Factor -50/9 - n*r**2 + 20/9*r.
-2*(r - 5)**2/9
Find s, given that -9524*s + 924 + 10388*s + 788 + 4*s**2 = 0.
-214, -2
Let w be (-405)/(-30) + (-6)/4. Suppose 3*s = c + 9, s + 3*s + c = w. Factor -s*a + 3*a**2 + 18 - 2*a - 16*a + 0*a**2.
3*(a - 6)*(a - 1)
Let d(x) be the second derivative of x**4/60 + 1453*x**3/15 + 2111209*x**2/10 + x - 32. Let d(l) = 0. Calculate l.
-1453
Let a(w) be the third derivative of 2*w**5/25 + 567*w**4/40 - 71*w**3/10 + 390*w**2 - 4*w. Factor a(j).
3*(j + 71)*(8*j - 1)/5
Let d(q) be the first derivative of 5*q**3/3 + 915*q**2/2 - 7640*q - 2785. Suppose d(r) = 0. What is r?
-191, 8
Let t(v) be the third derivative of v**8/840 - v**6/25 + 8*v**5/75 + 2*v**2 + 81*v. Factor t(s).
2*s**2*(s - 2)**2*(s + 4)/5
Factor -2/3*a**3 + 1/3*a**4 + 0*a + 1/3*a**2 + 0.
a**2*(a - 1)**2/3
Let z(l) be the third derivative of -2/35*l**5 + 1/56*l**4 + 4 + 0*l**3 - 12/245*l**7 - 4*l**2 + 0*l + 11/140*l**6 + 9/784*l**8. Find a such that z(a) = 0.
0, 1/3, 1
Let g = -475 - -477. Let m(k) = k + 20. Let i be m(-15). Factor -t**2 - 64 - 20*t - 67 + i*t**g + 147.
4*(t - 4)*(t - 1)
Solve 79/2*s - 29*s**2 + 4*s**4 + 0*s**3 - 15 + 1/2*s**5 = 0 for s.
-6, -5, 1
Let p(w) = w**2 + 97*w - 838. Let d be p(8). Let i(s) be the first derivative of 5/4*s**4 + d*s**2 + 46 + 17/6*s**3 + 0*s + 1/10*s**5. Factor i(f).
f*(f + 1)**2*(f + 8)/2
Let o(v) be the first derivative of v**3/12 - 15*v**2/8 + 27*v/2 + 298. Factor o(z).
(z - 9)*(z - 6)/4
Let o(s) be the first derivative of 33*s**2/2 - 195*s + 69. Let y be o(6). Let 4*b + 1/2*b**4 - 2 - 3/2*b**2 - b**y = 0. Calculate b.
-2, 1, 2
Let t be 14552/51 - (-1)/(-6)*2. Suppose -11*h + 16*h - t = 0. Let -20*q**4 - 649*q**2 + 520*q**2 - h*q + 288 - 252*q**3 - 727*q**2 - 279*q = 0. Calculate q.
-6, -1, 2/5
Let j(q) be the first derivative of -3/2*q**2 + 61 - 1/4*q**4 + q**3 + q. Find r such that j(r) = 0.
1
Let p(v) = -v**3 - 27*v**2 + 32*v + 117. Let x be p(-28). Suppose 15 = -x*g, -71*m - 2*g = -68*m + 6. Factor 0*j**2 + 0*j + 3/7*j**4 + m - 3/7*j**3.
3*j**3*(j - 1)/7
Let h(l) be the first derivative of 26/3*l**3 - 51*l**2 - 1/2*l**4 - 187 + 126*l. Factor h(f).
-2*(f - 7)*(f - 3)**2
Let x(d) = -51*d**2 - 2*d + 3. Let c be x(0). Let f(q) be the first derivative of -6000*q**2 - 30000*q - 30*q**4 - 3/5*q**5 + 36 - 600*q**c. Factor f(s).
-3*(s + 10)**4
Factor -1/11*z**3 + 1645/11*z - 50225/11 + 29/11*z**2.
-(z - 35)**2*(z + 41)/11
Let q = -2176 + 2178. Let i(l) be the first derivative of 0*l + 0*l**q + 0*l**4 - 2/21*l**6 + 16/35*l**5 - 7 + 0*l**3. Factor i(k).
-4*k**4*(k - 4)/7
Let q(p) be the first derivative of -p**4/10 + 14*p**3/5 - 86*p**2/5 + 192*p/5 + 747. Factor q(l).
-2*(l - 16)*(l - 3)*(l - 2)/5
Suppose -16 = -32*s + 29*s - 2*z, 4*z = -4*s + 28. Find v such that 8 + 1678*v**s + 99*v - 1684*v**2 - 56 = 0.
1/2, 16
Factor 10*b**2 + 26 - 3/5*b**3 - 153/5*b.
-(b - 13)*(b - 2)*(3*b - 5)/5
Let 566/15 - 2/15*s**2 + 188/5*s = 0. Calculate s.
-1, 283
Let q(j) be the second derivative of -j**4/15 + 4988*j**3/15 - 3110018*j**2/5 - 3472*j. Factor q(o).
-4*(o - 1247)**2/5
Suppose -237 - 3/2*f**3 - 114*f**2 + 705/2*f = 0. Calculate f.
-79, 1, 2
Let g(m) be the third derivative of m**6/8 + 599*m**5/6 + 1985*m**4/24 - 665*m**3 - 1090*m**2. Factor g(w).
5*(w + 1)*(w + 399)*(3*w - 2)
Let q(v) be the second derivative of -v**6/3 - 117*v**5/20 + 817*v**4/60 - 12*v**3 + 26*v**2/5 + v + 110. What is l in q(l) = 0?
-13, 2/5, 1/2
Let x(n) = -n + 47. Let u be x(37). Let w be (10*u/(-150))/(-2*1). Fa