**3.
i**3*(i + 2)*(i + 3)
Let r be (-560)/(-91) + -6 - 4/26. Let l(v) be the first derivative of -2*v**3 + 0*v - 3/4*v**4 + r*v**2 - 9. Factor l(c).
-3*c**2*(c + 2)
Let d = -64 + 45. Let x = d + 21. Solve 2*r**x + 49*r - 49*r = 0.
0
Let s be (-30)/(-4)*28/35. Suppose s*u + 2 = 7*u. Solve 22*z**3 - 4*z**2 - z**u - 5*z**4 + 0*z**2 - 80 - 120*z + 8*z**3 = 0.
-1, 4
Let u be (2/((-48)/(-8766)))/((-5)/10). Let x = -4355/6 - u. Factor -2/3*k**4 + 2*k + 0 - x*k**2 + 10/3*k**3.
-2*k*(k - 3)*(k - 1)**2/3
Let q(f) be the first derivative of 152 + 1/9*f**3 - 13/3*f + 2*f**2. Factor q(l).
(l - 1)*(l + 13)/3
Let o be -1 + (-143)/13 - 1*5. Let i be 1/(-3) + ((-187)/22)/o. Factor -i*l**3 + 1/2 + 1/6*l**2 + 5/6*l.
-(l - 3)*(l + 1)**2/6
Let b(v) = v**3 - 12*v**2 - 351*v + 4595. Let f be b(15). Find g such that -4/5 - 4/5*g**3 - 8/15*g**2 + 2/15*g**f + 26/15*g + 4/15*g**4 = 0.
-3, -2, 1
Let i = 6688393/940554 + -1/104506. Factor 0 + 2*q - i*q**4 + 256/9*q**3 + 140/9*q**2.
-2*q*(2*q - 9)*(4*q + 1)**2/9
Let p = -17038 - -17041. What is m in 1/3*m**p - 13/3*m + 5/3*m**2 + 7/3 = 0?
-7, 1
Determine m so that -605 - 1196 - 3*m**2 - 1192 - 149*m - 1186*m + 335 = 0.
-443, -2
Factor -9 + 1115*y + 9 - y**2 - 1111*y - 3*y**2.
-4*y*(y - 1)
Let s(c) = -338*c**3 + c**2 - 186*c + 360. Let q(g) = 225*g**3 - g**2 + 186*g - 360. Let u(o) = 6*q(o) + 4*s(o). Let u(x) = 0. Calculate x.
-15, 2, 12
Let n = -450 + 571. Let 135*r**3 + 0*r**5 - 53*r**2 + 4*r - 36*r**4 - 2*r - n*r**2 + 70*r + 3*r**5 = 0. What is r?
0, 1, 4, 6
Let k be -14*(-4)/(-8)*90/(-7). Let m = -87 + k. Find v, given that -15*v**2 + 3*v**5 + 170 - 15*v**m + 5*v**4 + 0*v**4 - 2*v**4 - 158 + 12*v = 0.
-2, -1, 1, 2
Let r(q) be the third derivative of 0 - 64/3*q**3 + 18*q + 1/30*q**6 - q**2 - 4/5*q**5 + 6*q**4. Factor r(f).
4*(f - 8)*(f - 2)**2
Let b(v) be the first derivative of 1/7*v**6 + 1/2*v**4 + 0*v**2 + 16/35*v**5 + 4/21*v**3 - 132 + 0*v. Solve b(n) = 0 for n.
-1, -2/3, 0
Let h(b) = 3*b + 6. Let x(l) be the second derivative of l**4/12 + l**3/6 + l**2/2 + 48*l. Let m(i) = h(i) - 3*x(i). Let m(o) = 0. What is o?
-1, 1
Factor -6400/9 - 11056/9*g**2 + 49/9*g**5 - 728/9*g**4 + 4132/9*g**3 + 13760/9*g.
(g - 4)**3*(7*g - 10)**2/9
Factor 0*o**3 - 2/9*o**4 + 0 + 0*o - 2/9*o**5 + 0*o**2.
-2*o**4*(o + 1)/9
Let i(d) be the third derivative of d**6/840 - 503*d**5/105 + 253009*d**4/42 + 9525*d**2. Factor i(s).
s*(s - 1006)**2/7
Let u(o) = -20*o**2 + 13564*o + 64. Let i(h) = -3*h**2 + 2087*h + 10. Let w(p) = 32*i(p) - 5*u(p). Determine l so that w(l) = 0.
0, 259
Let u(a) = a**2 + 11*a + 4. Let r(w) = -w**2 - 23*w - 10. Let j = 287 - 282. Let b(h) = j*u(h) + 2*r(h). Solve b(s) = 0 for s.
-3, 0
Let g(w) = -w**2 - 391*w + 16302. Let q be g(38). Factor q + 1/3*p**4 + 16/3*p**2 + 0*p + 8/3*p**3.
p**2*(p + 4)**2/3
Suppose -766*u = -769*u + 6. Suppose 2*a + 18 = 5*a. Factor 4*o**3 - a*o**4 + 4*o**u - 4*o**4 + 7*o**4.
-o**2*(o - 2)*(3*o + 2)
Let h = 2098944829720/8173 + -256814490. Let f = h - -2/743. Factor -2/11*p**2 - f*p + 0.
-2*p*(p + 2)/11
Let m(x) be the third derivative of x**6/540 + 1147*x**5/270 + 1144*x**4/27 + 508*x**3/3 - 140*x**2 + 8. Factor m(q).
2*(q + 2)**2*(q + 1143)/9
Let p(u) = 7*u + 39. Let h be p(-4). Factor 8*r**3 + 18*r**2 + 11*r**3 + 2*r**2 - h*r**3 + 8*r.
4*r*(r + 2)*(2*r + 1)
Let c(n) = -104*n**3 + 2*n**2 - n. Let x be c(1). Let t = -85 - x. Factor 3 + r + 11*r - t + 3*r**2.
3*(r - 1)*(r + 5)
Find z such that 1/4*z**5 - 75/2 - 4*z**4 + 24*z**3 + 335/4*z - 133/2*z**2 = 0.
1, 2, 3, 5
Let q(o) be the first derivative of 1/30*o**5 + 17 - 8*o**2 - 1/6*o**4 + 1/3*o**3 + 0*o. Let m(v) be the second derivative of q(v). Factor m(d).
2*(d - 1)**2
Let s(o) be the first derivative of 4/7*o**2 - 1/14*o**4 - 48 + 0*o + 2/7*o**3. Factor s(l).
-2*l*(l - 4)*(l + 1)/7
Let d = -7898734 - -102514541/13. Let o = 13007 + d. Factor -162/13*h**4 + 0 - o*h**3 + 64/13*h**2 - 8/13*h.
-2*h*(h + 1)*(9*h - 2)**2/13
Factor 6*l**2 - l**2 - 10380*l + 5088657 - 2*l**2 + 3890043.
3*(l - 1730)**2
Determine q so that -1/3*q**4 + 0 - 192*q - 176*q**2 + 47/3*q**3 = 0.
-1, 0, 24
Suppose 21/2*z - 72 + 1/4*z**2 = 0. What is z?
-48, 6
Let r = 33311426/206135 - 2/41227. Let g = 162 - r. Factor -4/5 + g*w**2 + 2/5*w.
2*(w - 1)*(w + 2)/5
Let l(o) be the first derivative of 2*o**5/55 + 20*o**4/11 + 944*o**3/33 + 1440*o**2/11 + 2592*o/11 - 405. Suppose l(m) = 0. Calculate m.
-18, -2
Let i(f) = -f**2 + 2362*f - 350470. Let h(k) = -k**2 + 4722*k - 700942. Let v(q) = -3*h(q) + 7*i(q). Let v(m) = 0. What is m?
296
Let w = 3/19240 - -9617/19240. Find a, given that 4*a - 8 + 7/2*a**2 + w*a**3 = 0.
-4, 1
What is b in -5808 + 13292*b**4 + 72*b**3 - 1382*b - 13288*b**4 + 84*b**2 - 1610*b = 0?
-11, -2, 6
Let f(m) be the first derivative of -m**3 - 1032*m**2 - 355008*m - 4358. Solve f(d) = 0 for d.
-344
Let w = 34005/17 - 169821/85. Find d such that -194/15*d**2 - 2/15*d**4 - 128/15 - w*d**3 - 96/5*d = 0.
-8, -1
Let c(m) = 2*m**4 + 312*m**3 - 331*m**2 - 1415*m - 830. Let o(s) = s**4 + 102*s**3 - 110*s**2 - 472*s - 277. Let n(q) = -2*c(q) + 7*o(q). Factor n(i).
3*(i - 3)*(i + 1)**2*(i + 31)
Factor 4*g**2 - 176 + 57*g + 2*g**2 - 151 - 3*g**3 - 18*g**2 + 285.
-3*(g - 2)*(g - 1)*(g + 7)
Let q(s) = 2*s**2 + 43*s + 23. Let i = 49 + -70. Let t be q(i). Factor -4*r + 19*r - 28*r**t + 5*r**3 + 8*r**2.
5*r*(r - 3)*(r - 1)
Let y be 1986/(-10) - (-244)/305. Let l = y - -198. Find z such that 0*z + l*z**2 - 1/5 = 0.
-1, 1
Let w(o) = -o**2 - 3*o - 3. Let h(p) = -4*p**2 - 12*p - 13. Let r be 24/18*-1*(-18)/(-4). Let a(t) = r*h(t) + 26*w(t). Factor a(s).
-2*s*(s + 3)
What is v in -12*v + 3*v - 6*v**2 + 103042 - 103027 - 4*v = 0?
-3, 5/6
Let z be (6/5)/((-2)/(-15)). Suppose z*i = -23 + 86. Factor -3*y**2 - 3 + 2*y + 4*y**2 + 3*y + i.
(y + 1)*(y + 4)
Let c(l) be the third derivative of l**5/40 - 41*l**4/4 + 483*l**3/4 + 11*l**2 + 5*l. Factor c(x).
3*(x - 161)*(x - 3)/2
Let l be (135/(-10))/(-9) - 66*7/756. Determine q, given that -l*q + 4/9*q**2 + 4/9 = 0.
1
Factor -25715*n - n**3 + 968*n**2 - 18818 + 13173*n - 4*n**3 - 28040*n - 6075*n.
-(n - 97)**2*(5*n + 2)
Let l(k) be the second derivative of k**7/42 - 11*k**6/15 + 27*k**5/5 - 101*k**4/6 + 163*k**3/6 - 24*k**2 + 24*k - 34. Suppose l(n) = 0. What is n?
1, 3, 16
Let m(x) = 8*x**2 - 136*x - 2692. Let h(v) = -15*v**2 + 271*v + 5369. Let w(c) = 4*h(c) + 7*m(c). Determine p so that w(p) = 0.
-14, 47
Let g(k) = -16*k**2 + 1213*k - 1186. Let l(i) = 6*i**2 - 404*i + 394. Let b(s) = -4*g(s) - 11*l(s). Factor b(p).
-2*(p - 1)*(p + 205)
Let s(z) be the second derivative of -z**6/48 - z**5/40 - 48*z**2 - 62*z. Let l(f) be the first derivative of s(f). Factor l(p).
-p**2*(5*p + 3)/2
Let g(s) be the third derivative of -1/24*s**4 + 1/420*s**7 + 1/24*s**5 + 0*s**3 + 0*s + 16*s**2 + 0 - 1/60*s**6. Find k such that g(k) = 0.
0, 1, 2
Let z be (132/1023)/(2/31). Let y(q) be the second derivative of 0 - 5/3*q**3 + 5/12*q**4 - 22*q + 0*q**z. Determine b, given that y(b) = 0.
0, 2
Suppose 5672/21*f + 2/21*f**2 + 4021448/21 = 0. What is f?
-1418
Suppose -2*w = 36*w + 2*w - 80. Let f(d) be the second derivative of -17*d + 0*d**w + 0 - 1/120*d**5 - 1/180*d**6 + 1/18*d**4 + 1/9*d**3. Factor f(q).
-q*(q - 2)*(q + 1)*(q + 2)/6
Let i(s) = -26*s - 6*s**2 + 4*s**2 + 30 + 12*s**2. Let h(j) = j**2 - j + 1. Let m(y) = -6*h(y) + i(y). What is b in m(b) = 0?
2, 3
Suppose -1452*u + 3220 = -1804 + 748 - 80. Determine l so that 3/4*l**u - 9/2*l**2 + 9 + 15/4*l = 0.
-1, 3, 4
Let l(u) = u**2 - 16*u + 30. Let v be l(14). Let 10*x + x**5 + 8*x**3 - 5*x**5 - 26*x**v - 14*x**3 + 26*x**4 - 12*x**2 + 12 = 0. Calculate x.
-1, -1/2, 1, 6
Let c(r) be the first derivative of r**8/112 + r**7/420 - r**6/120 + 77*r**2 - 218. Let w(h) be the second derivative of c(h). Factor w(d).
d**3*(2*d - 1)*(3*d + 2)/2
Let n be (-68)/(-10) + (3/(-18) - 6510/1116). Factor -8/5*y**3 - 1/5*y**5 + 0*y + 0 - n*y**2 - y**4.
-y**2*(y + 1)*(y + 2)**2/5
Let y be (-136)/(-28) + 1068/(-1246). Factor y*i - 36 - 1/9*i**2.
-(i - 18)**2/9
Let p(t) be the second derivative of t**5/20 - 55*t**4/12 + 287*t**3/6 + 343*t**2/2 + 2*t - 123. Suppose p(i) = 0. Calculate i.
-1, 7, 49
Let q(f) be the second derivative of -f**4/42 + 622*f**3/21 + 1248*f**2/7 - 3306*f. Factor q(h).
-2*(h - 624)*(h + 2)/7
Let n(j) be the 