vative of -f**5/15 - 91*f**4/6 + 184*f**3/3 + 576*f**2 + 2. Factor s(d).
-4*(d - 1)*(d + 92)
Factor -1165*d**2 - 1125 + 396*d**2 - 1978*d**2 + 3*d**2 - 4800*d - 2376*d**2.
-5*(32*d + 15)**2
Let a(v) be the third derivative of v**6/280 - 2*v**5/35 - 27*v**4/8 + 306*v**3/7 + 7763*v**2. Factor a(u).
3*(u - 17)*(u - 3)*(u + 12)/7
Suppose 0 = -5*u + 5*h - 15, 0 = -2*u - 0*h - h. Let f be (3 - 4 - 3*u) + 1. Solve 12*n + 5*n - 6*n**3 - 5*n + 12 - 9*n**2 + f*n**4 = 0 for n.
-1, 2
Let b(x) = 6*x + 29. Let r be b(-4). Let 2*y**2 - 3*y**4 + 9*y**3 + 22*y**2 + 56*y - r*y + 17*y**2 + 18 + 4*y**2 = 0. What is y?
-1, 6
Let u(j) be the first derivative of 204*j**5/25 + 1299*j**4/20 - 324*j**3/5 - 489*j**2/10 - 42*j/5 - 2285. Let u(h) = 0. Calculate h.
-7, -1/4, -2/17, 1
Find r such that 456/5*r + 144/5 + 219/5*r**3 + 1/5*r**5 + 27/5*r**4 + 101*r**2 = 0.
-12, -1
Let u(q) be the second derivative of -2/3*q**4 + 0 + 0*q**6 + 3/5*q**5 - 2/21*q**7 + 0*q**3 + 0*q**2 + 64*q. Factor u(d).
-4*d**2*(d - 1)**2*(d + 2)
Let n = 8235 - -3968. Factor 286*h - 22 + 12205*h**3 + 46*h**2 - n*h**3 + 264.
2*(h + 1)*(h + 11)**2
Let f be 3/6 + 18/(-52). Let w be (-1150)/(-897) + 10/(-15). Find x such that 4/13*x**5 + 0 - 10/13*x**4 + 0*x + w*x**3 - f*x**2 = 0.
0, 1/2, 1
Let r = -1460 - -1464. Let c(o) be the third derivative of -1/6*o**r - 1/18*o**6 + 0*o**3 + 0*o + 7/45*o**5 + 0 + 13*o**2 + 2/315*o**7. Factor c(q).
4*q*(q - 3)*(q - 1)**2/3
Let k(n) = -n**2 - 15*n - 54. Let c be k(-7). Let x(b) be the first derivative of 45/2*b**c + 25*b**3 + 0*b - 17 + 35/4*b**4 + b**5. Factor x(h).
5*h*(h + 1)*(h + 3)**2
Let y = -2724290/7 + 389186. Solve -2/7*h - y + 2/7*h**2 = 0 for h.
-2, 3
Let b(i) = 3*i**3 - 4*i**2 + 5*i. Let z(s) = -113*s**3 + 3*s**2 + 114*s**3 + s - 4*s**2. Let w(p) = -3*b(p) + 12*z(p). Factor w(d).
3*d*(d - 1)*(d + 1)
Let r = -4409267 - -4409269. Let v = -1 - -4. Factor -1/2*n**r - 4/5*n - 2/5 - 1/10*n**v.
-(n + 1)*(n + 2)**2/10
Suppose -t = -23 + 20. Factor q + 772*q**t - 30*q - 12*q**2 - 773*q**3 + 31 + 11.
-(q - 1)*(q + 6)*(q + 7)
Let g(n) be the first derivative of -1/15*n**3 + 0*n - 1/5*n**2 + 98. Factor g(w).
-w*(w + 2)/5
Let v be 41 + (-15366)/546 + 6*-2. Suppose q = 3*q - 4. Factor 2/7*t**4 + 0 - v*t**3 + 0*t + 4/7*t**q.
2*t**2*(t - 2)*(t - 1)/7
Let l(y) = -y**3 + y**2 - 2*y - 1. Let c = -208 + 203. Let a(z) = -610*z**3 - 1645*z**2 - 970*z - 165. Let f(o) = c*l(o) + a(o). Factor f(b).
-5*(b + 2)*(11*b + 4)**2
Let w = -246031 + 246034. Factor -6/5 + 1/5*h**w + 13/5*h - 8/5*h**2.
(h - 6)*(h - 1)**2/5
Factor -7880*m + 8443*m**2 - 4228*m**2 - 4220*m**2 - 3104720.
-5*(m + 788)**2
Let v be (6 - -1)*(-3 - 8)*-1. Let m = 79 - v. Factor 4*a - 6*a**2 + 89 - 81 + 2*a**m.
-4*(a - 2)*(a + 1)
Let q(a) be the second derivative of -4*a**7/63 - 22*a**6/9 - 359*a**5/15 + 338*a**4/9 + 2072*a**3/9 + 784*a**2/3 + 9836*a. Suppose q(f) = 0. Calculate f.
-14, -1, -1/2, 2
Let b = -7626 + 7652. Let x(a) be the first derivative of b - 1/38*a**4 - 16/57*a**3 + 0*a - 16/19*a**2. Determine t, given that x(t) = 0.
-4, 0
Let l(j) be the third derivative of -j**8/840 + 61*j**7/525 - 16*j**6/5 + 6*j**5 - 1613*j**2. Determine u, given that l(u) = 0.
0, 1, 30
Let a(b) be the third derivative of b**5/90 - 79*b**4/6 - 475*b**3/9 - 979*b**2 - 2*b. Let a(u) = 0. Calculate u.
-1, 475
Suppose 96 + 4 = 25*s. Let w be -3 + 7 - 3 - 3/s. Find o, given that -w*o**2 - 81/4 - 9/2*o = 0.
-9
Suppose -656*o - 12 = -660*o. Let s(p) be the first derivative of 0*p**2 + 1/12*p**o + 3/20*p**5 + 0*p + 3/16*p**4 - 16 + 1/24*p**6. Factor s(n).
n**2*(n + 1)**3/4
Let l(c) = -2*c**4 - 10*c**3 + 115*c**2 + 152*c - 1. Let f(w) = -w**4 - w**3 - 30*w**2 - w - 1. Let q(v) = -4*f(v) + 4*l(v). Let q(d) = 0. Calculate d.
-17, -1, 0, 9
Let g = -174 + 176. Factor 8*n**2 - 3*n - 17076*n**3 + 17073*n**3 - g*n**2.
-3*n*(n - 1)**2
Let p(w) = -4*w - 15. Let a be p(-5). Suppose -8 = a*s - 68. What is u in -14*u**3 - s*u**3 - 19*u**4 - 5*u**4 + 2*u = 0?
-1, -1/3, 0, 1/4
Let u be (54/(-51))/(-3) - 1008/(-612). Suppose 82/3*p**u + 8/3 + 56*p = 0. What is p?
-2, -2/41
Let q = 309/434 + 9/62. Let r = 1/46 - -85/322. Factor 4/7 - q*n**2 + 2/7*n**4 + r*n**3 - 2/7*n.
2*(n - 1)**2*(n + 1)*(n + 2)/7
Suppose -347*a - 1064*a + 1678 = -711 - 433. Determine p, given that -120 + 5/2*p**a - 5*p = 0.
-6, 8
Let o be (3/18)/((-270)/9690) + 6. Let y(s) be the second derivative of 0*s**2 + o*s**4 - 2*s + 0 - 2/27*s**3. Find h such that y(h) = 0.
0, 2
Suppose 32 = -2*g + 38. Find c such that -77*c + 203*c - 82*c - g*c**2 - 76*c + 2*c**2 - 31 = 0.
-31, -1
Let f(t) be the second derivative of 0 - 1/150*t**6 + 2/15*t**3 + 0*t**2 + 1/50*t**5 + 7/60*t**4 - 65*t. Factor f(b).
-b*(b - 4)*(b + 1)**2/5
Let y(h) = -10*h**2 + 2*h + 17. Let u(p) = -p**2 + 5*p**2 - 7*p - 3*p**2 - 1 + 6*p. Let d(m) = -18*u(m) - 2*y(m). Determine j, given that d(j) = 0.
-8, 1
Let w be ((-7)/(-4))/(-7)*(-515 - -495). Factor 34/19*r**3 + 0*r + 0 + 18/19*r**w - 8/19*r**2 - 44/19*r**4.
2*r**2*(r - 1)**2*(9*r - 4)/19
Let v(f) be the third derivative of f**6/210 - 72*f**5/35 + 3959*f**4/14 - 45796*f**3/21 + 1297*f**2. Factor v(g).
4*(g - 107)**2*(g - 2)/7
Let s(f) = -45*f**2 + 25*f + 935. Suppose 128*l - 140 = 124*l. Let o(w) = 5*w**2 - 3*w - 104. Let v(h) = l*o(h) + 4*s(h). Determine b, given that v(b) = 0.
-5, 4
Suppose 66*h + 69 = 89*h. Let v(z) be the first derivative of 6 + 2*z**2 + 0*z - 2/3*z**h. Factor v(i).
-2*i*(i - 2)
Let m(c) be the third derivative of -c**7/16380 - 23*c**6/4680 - 7*c**5/130 - c**4/6 - c**2 - 18*c. Let h(z) be the second derivative of m(z). Factor h(o).
-2*(o + 2)*(o + 21)/13
Let g(w) = -w**2 - 10*w + 16. Let j(p) = -4*p**2 - 30*p + 48. Let d = 324 - 331. Let u(b) = d*g(b) + 2*j(b). Find a, given that u(a) = 0.
2, 8
Suppose 7 - 1 = 3*h. Suppose 0*t + 2*t - i - 5 = 0, -3*i - 41 = -19*t. Solve 12*v - 15*v**h + 4 + 18*v**t - 19 = 0 for v.
-5, 1
Suppose -83*k = -97*k + 28. Let a(b) = b**3 - b**2 - b + 1. Let s(c) = 11*c + 5*c - 4*c + 31*c**2 - 7*c**3 - 6. Let f(u) = k*a(u) - s(u). Factor f(n).
(n - 4)*(3*n - 1)*(3*n + 2)
Let u(v) be the first derivative of -7*v**5/15 + 8*v**4/3 - 8*v**3/3 - 27*v**2/2 + 132. Let j(f) be the second derivative of u(f). Factor j(b).
-4*(b - 2)*(7*b - 2)
What is l in 18*l**3 - 3/4*l**2 - 39/4*l**4 + 9 + 3/2*l**5 - 21*l = 0?
-1, 1/2, 2, 3
Let o(t) be the second derivative of t**7/273 + t**6/39 - 31*t**5/130 + 43*t**4/78 - 6*t**3/13 - 6*t - 32. Solve o(p) = 0.
-9, 0, 1, 2
Let q = 288 + -284. What is t in -141*t**5 - 20*t + 108*t**q + 60*t**2 + 31*t**5 + 116*t**3 - 33*t**4 + 149*t**3 = 0?
-1, -1/2, 0, 2/11, 2
Suppose -3*j - 5*f = 8, 5130*f = 4*j + 5128*f - 24. Factor -1/4*b**5 + 1 - j*b + 7/4*b**4 + 25/4*b**2 - 19/4*b**3.
-(b - 2)**2*(b - 1)**3/4
Suppose 5*y + 203 - 213 = 0. Find w, given that -4*w - 12*w**2 - 9*w - 6 + 2*w**3 - 5*w**3 - y*w = 0.
-2, -1
Let r(a) be the second derivative of -a + 13/10*a**5 + 4/3*a**3 + 1/21*a**7 + 2/5*a**6 + 19 + 0*a**2 + 2*a**4. Find w, given that r(w) = 0.
-2, -1, 0
Suppose 0 = -3*a - 3, -a - 18 = -5*p - 7. Let s be (-24)/(-16) + 1/2. Factor -p - 4*o + 8*o**s - 12*o**2 + 2*o**2.
-2*(o + 1)**2
Factor 3*f**2 + 3*f**2 - f**3 + 228 + 8*f**2 - 32*f**2 + 4*f - 39*f**2.
-(f - 2)*(f + 2)*(f + 57)
Let g(w) = w + 7. Let l be ((-5)/2)/((-1)/(-2)). Let o be g(l). Solve 2*y**3 - 76*y**5 + o*y**2 - 6*y**3 + 77*y**5 - 2 + 3*y = 0 for y.
-2, -1, 1
Let a(q) = -q**3 - 18*q**2 + 20*q + 22. Let b be a(-19). Let m(x) be the third derivative of 0*x - 9/4*x**b - 3/8*x**4 + 19*x**2 + 0 - 1/40*x**5. Factor m(f).
-3*(f + 3)**2/2
Let c(a) be the second derivative of -a**4/108 + 37*a**3 - 110889*a**2/2 - 3*a - 27. Factor c(t).
-(t - 999)**2/9
Let f(h) be the second derivative of 1 - 1/360*h**6 - 10*h - 5/48*h**4 + 1/30*h**5 + 2/3*h**2 - 1/9*h**3. Determine v, given that f(v) = 0.
-1, 1, 4
Let b = 228169/120 - 5704/3. Let l(t) be the second derivative of -1/8*t**4 + 5*t + 0 + 0*t**2 + b*t**5 - 3*t**3. Factor l(p).
3*p*(p - 4)*(p + 3)/2
Suppose -c + 3*d - 16 = 0, -4*c + 6*d - 16 = 2*d. Let q(s) be the first derivative of 0*s**c + 0*s + 0*s**3 + 17 - 1/6*s**4. Factor q(m).
-2*m**3/3
Let h = -1/8487 - -288565/59409. Suppose -h*k**3 + 0 + 8/7*k - 6/7*k**4 + 24/7*k**2 + 8/7*k**5 = 0. Calculate k.
-2, -1/4, 0, 1, 2
Let v(r) be the first derivati