**2. Factor t(f).
-f*(f - 1)**2*(f + 1)
Solve 4352/11*u - 290/11*u**4 - 504/11*u**3 + 96 + 2176/11*u**2 + 14/11*u**5 = 0.
-2, -2/7, 3, 22
Let d = 45967/6 + -41945/6. Let a = d - 667. Find o such that -4/3*o - 8*o**3 - a*o**4 - 6*o**2 + 0 = 0.
-1, -2/5, 0
Factor -151380 - 1/5*a**2 - 348*a.
-(a + 870)**2/5
Let i be 4 - (-7 - (-1083)/42). Let p = i - -114/7. Factor 6 - 27/2*k - p*k**3 + 9*k**2.
-3*(k - 4)*(k - 1)**2/2
Let f(h) be the first derivative of -h**4/3 - 320*h**3/9 - 314*h**2/3 - 104*h - 2092. Suppose f(b) = 0. Calculate b.
-78, -1
Let l = 28324 - 226591/8. Solve -5 - 19/4*t**2 + 79/8*t - l*t**3 = 0.
-40, 1
Let q(t) = 2*t**3 - 2*t**2 + 1071*t - 1069. Let v be q(1). Suppose -52/3*k**v + 50/3*k + 2/3*k**3 + 0 = 0. Calculate k.
0, 1, 25
Let s(n) be the third derivative of -n**6/120 + 31*n**5/20 - 15*n**4/4 - 92*n**3/3 + 20*n**2 + 7. Let s(j) = 0. Calculate j.
-1, 2, 92
Let y = -3588 - -17941/5. Let u(w) be the first derivative of 2/15*w**3 - 2/5*w + 1/10*w**4 - y*w**2 - 32. Suppose u(q) = 0. What is q?
-1, 1
Determine t, given that 1776 + 4691*t - 4*t**3 - 1747*t - 884*t**2 - 2048*t = 0.
-222, -1, 2
Let o(v) be the third derivative of v**7/2520 + v**6/720 - v**5/60 + 7*v**4/6 - 4*v**2 - 6*v. Let l(m) be the second derivative of o(m). Factor l(k).
(k - 1)*(k + 2)
Let m(r) be the first derivative of r**8/420 + 3*r**7/35 + 23*r**6/120 + 17*r**5/120 - 42*r**3 + 175. Let h(p) be the third derivative of m(p). Factor h(j).
j*(j + 17)*(2*j + 1)**2
Let d be (-1 + 66/63)*(-6 - (-5138)/840). Let o(c) be the third derivative of d*c**5 - 19*c**2 - 1/72*c**4 + 0 + 0*c**3 + 0*c. Solve o(t) = 0.
0, 1
Let z(j) be the second derivative of -4/5*j**5 - 5/3*j**4 - 2/15*j**6 + 66*j - 4/3*j**3 + 0*j**2 + 0. Factor z(u).
-4*u*(u + 1)**2*(u + 2)
Suppose 8 = -5*r - 3*b, -7*b = -2*r - 293 + 421. Factor -30*x + 63/8*x**2 - 1/2*x**3 - r.
-(x - 8)**2*(4*x + 1)/8
Let m be 5*(-5)/(600/(-48)). Factor 13/4*y**3 + 9/4*y + 6*y**m + 0 + 1/2*y**4.
y*(y + 3)**2*(2*y + 1)/4
Suppose -111 = -4*b + 6*g - 3*g, 0 = -2*b + g + 53. What is d in -510*d**4 + 80*d**2 + 86*d**2 - 128*d + 78*d**3 + b + 320*d**4 + 50*d**5 = 0?
-1, 2/5, 1, 3
Let k = -29793/7 - -157819/28. Let u = 1381 - k. Factor 3/2 - 9/4*t**2 + u*t**4 + 3/4*t**3 - 3/4*t.
3*(t - 1)**2*(t + 1)*(t + 2)/4
Let g(l) = 3*l**2 - 493*l - 396. Let h(z) = 4*z**2 - 495*z - 374. Let m(p) = 5*g(p) - 4*h(p). Let m(x) = 0. Calculate x.
-484, -1
Let j(p) be the third derivative of -6/7*p**7 + p + 77/30*p**6 + 1/12*p**8 + 32/3*p**3 - 4*p**4 - 31/15*p**5 - 11*p**2 + 0. Find f such that j(f) = 0.
-4/7, 1, 4
Suppose -2*h + q + 5 + 2 = 0, -5*h + 31 = 2*q. Let v be ((-2)/2)/((-8)/24). Let 4/7*r**v + 2/7*r**h - 6/7*r + 4/7*r**2 - 6/7*r**4 + 2/7 = 0. Calculate r.
-1, 1
Let v = 13895 - 13879. Solve -v*h - 64/3 - 4*h**2 - 1/3*h**3 = 0.
-4
Let v(b) = -3*b**4 - 18*b**3 + 3*b**2 - 30*b - 12. Let a(m) = 2*m**4 + 16*m**3 - 2*m**2 + 24*m + 10. Let q(y) = -6*a(y) - 5*v(y). Factor q(l).
3*l*(l - 2)*(l - 1)*(l + 1)
Let j(n) be the first derivative of -n**6/90 + n**5/6 + 10*n**3/3 - n + 231. Let p(b) be the third derivative of j(b). Solve p(o) = 0 for o.
0, 5
Let y(g) be the second derivative of 64*g - 1/120*g**6 + 1/48*g**4 + 1/4*g**3 + 0 + 0*g**2 - 3/40*g**5. Determine m so that y(m) = 0.
-6, -1, 0, 1
Let f(x) = -3*x**3 + 39*x**2 + 122*x + 104. Let g(m) = 8*m**3 - 116*m**2 - 368*m - 320. Let t(h) = 14*f(h) + 5*g(h). Factor t(o).
-2*(o + 2)*(o + 3)*(o + 12)
Suppose 0 = 36*r + 5643 - 5715. Find v, given that -1/2*v**3 - 4 - 6*v - 3*v**r = 0.
-2
Let f(v) be the first derivative of -1/4*v**4 + 4/5*v**5 + 0*v - 254 - 4/3*v**3 + 0*v**2 + 1/6*v**6. Solve f(w) = 0.
-4, -1, 0, 1
Factor 46*r + 0 + 504/11*r**2 - 2/11*r**3.
-2*r*(r - 253)*(r + 1)/11
Let v(n) be the second derivative of 0 - 5/48*n**4 - 35/6*n**3 - 245/2*n**2 + 6*n. Factor v(w).
-5*(w + 14)**2/4
Let -626 + 360 + 2*i**2 + 418 + 361 - 500*i - 15 = 0. What is i?
1, 249
Let k(b) = 2*b**2 + 3*b - 9. Let s be k(2). Let a(f) be the second derivative of 1/48*f**4 - 14*f + 1/120*f**6 + 0 + 0*f**2 + 0*f**3 - 1/40*f**s. Factor a(r).
r**2*(r - 1)**2/4
Factor 1/5*m**2 - 53/5*m + 52/5.
(m - 52)*(m - 1)/5
Let y(m) = -m**2 - 8*m - 8. Let p be y(-6). Suppose -3228 = -5*r - p*g, 5*g + 150 = 135. What is v in -8748 - r*v**2 - 4/3*v**4 + 48*v**3 + 3888*v = 0?
9
Let t = -459061 + 918123/2. Factor 0 - t*y**4 + 0*y + 2*y**2 + 0*y**3.
-y**2*(y - 2)*(y + 2)/2
Let p(f) be the first derivative of -f**5/5 - 59*f**4/4 - 57*f**3 - 169*f**2/2 - 56*f - 1341. Suppose p(y) = 0. Calculate y.
-56, -1
Let i(j) be the first derivative of 4*j**3/9 - 1100*j**2/3 + 302500*j/3 + 1040. Factor i(p).
4*(p - 275)**2/3
Let d(t) be the third derivative of 1/180*t**5 + 23/9*t**3 - t + 0 - 33*t**2 + 47/72*t**4. Determine i, given that d(i) = 0.
-46, -1
Suppose 128*t + 67 = 180*t - 37. Let 0*x**3 - 12/7 - 32/7*x + 4/7*x**4 - 24/7*x**t = 0. What is x?
-1, 3
Let u = -1106901/4 + 276744. Find f such that -33 + 87/4*f**2 + 36*f - u*f**3 + 3/4*f**5 - 27/4*f**4 = 0.
-2, 1, 11
Let v(t) = t - 1. Let o(l) = -10. Let g(h) = -o(h) + 6*v(h). Suppose c + r = 0, 91 - 71 = 4*r. Let u(k) = k**2 - k. Let f(x) = c*u(x) - 5*g(x). Factor f(j).
-5*(j + 1)*(j + 4)
Let k(x) = -4*x**3 + 2*x - 1. Let u(a) = -98*a**4 + 159*a**3 - 37*a**2 - 14*a + 5. Let z(d) = 5*k(d) + u(d). Find g, given that z(g) = 0.
-4/49, 0, 1/2, 1
Let o(u) = 6*u**3 - 37*u**2 + 33*u + 1. Let n be o(1). Factor 1/7*y**n + 3/7*y**2 - 1/7*y**4 - 1/7*y - 2/7.
-(y - 2)*(y - 1)*(y + 1)**2/7
Factor -2/13*o**2 - 44/13 - 46/13*o.
-2*(o + 1)*(o + 22)/13
Let q(o) be the second derivative of -3/2*o**2 - 3/4*o**4 + 3/2*o**3 - 9*o + 3/20*o**5 + 0. Factor q(k).
3*(k - 1)**3
Let i = 183166 - 183166. Suppose -16/7*f + i*f**2 + 4/7*f**3 + 0 = 0. Calculate f.
-2, 0, 2
Let v(w) be the third derivative of 5*w**8/168 - w**7/42 - 13*w**6/24 + w**5/6 + 25*w**4/6 + 20*w**3/3 - 3145*w**2. What is u in v(u) = 0?
-2, -1, -1/2, 2
Let g be 15/15*504/30 - 12. Determine l so that 3/5*l**2 + 9 - g*l = 0.
3, 5
Let w be 5 + (-4 - -2)/1. Determine h, given that 2*h**3 + 9*h - h + 8*h + 9*h + 30*h**2 + w*h = 0.
-14, -1, 0
Let k be 1015/343 - (-12)/294. Let t(i) be the second derivative of 3/20*i**5 + 1/2*i**6 + 0 + 0*i**k - i**4 + 0*i**2 - 10*i. Suppose t(z) = 0. Calculate z.
-1, 0, 4/5
Let d(x) be the first derivative of 361/4*x**4 + 38/3*x**3 + 0*x + 1/2*x**2 - 64. Factor d(r).
r*(19*r + 1)**2
Suppose -4*b - 3*u = u + 4, -b - 2*u - 4 = 0. Factor 3*j**3 - 2*j**3 + 0*j**3 + j**2 - 12 - b*j - 6*j.
(j - 3)*(j + 2)**2
Factor -44*o**2 + 84*o**2 - 38*o**2 - 94 - 7*o + 330 - 231*o.
2*(o - 118)*(o - 1)
Let c be 1 + (-18)/(-8) - (-3)/4. Suppose c*q - 72 = -4*z, -10 = -5*q - 2*z + 80. Factor 2*r**4 - 14*r + 0*r**3 - 17 + 21 - 5*r**3 - 5*r**3 + q*r**2.
2*(r - 2)*(r - 1)**3
Let j(k) be the second derivative of 0 - 1/135*k**6 - 68*k + 5/54*k**4 + 0*k**2 + 2/27*k**3 - 1/189*k**7 + 1/30*k**5. Factor j(t).
-2*t*(t - 2)*(t + 1)**3/9
Let h = -49974 - -195069/4. Let u = h + 1207. Determine r, given that -49/4 - u*r**2 - 7/2*r = 0.
-7
Let k = 2/5161 - -5155/15483. Solve 0*d - k*d**3 + 0 + 1/3*d**2 = 0 for d.
0, 1
Factor -160*z**3 + 86240*z - 1735*z**2 - 2*z**4 - 202471 - 192665 - 4481*z**2 + 448*z**3 - 102*z**3.
-2*(z - 28)**3*(z - 9)
Let q = -151354 + 454186/3. Find v such that 106/3*v**2 - 32/3*v**3 + 2/3*v**4 + 16 - q*v = 0.
1, 2, 12
Let i(n) be the first derivative of 5*n**4/4 + 55*n**3 + 575*n**2 - 3414. Let i(c) = 0. Calculate c.
-23, -10, 0
Let r(f) be the second derivative of 95/8*f**3 - 49/16*f**4 - 145*f + 0 + 3/80*f**5 - 141/8*f**2. Suppose r(b) = 0. Calculate b.
1, 47
Suppose -y = -3*v - 120, 3*y = 8*v - 10*v + 382. Solve -225 - 17*i**4 + 12*i**4 - 120*i - 16*i**2 + y*i**2 = 0.
-5, -1, 3
Let r(s) = -4*s**3 + 5*s**3 - 26*s - 14*s**2 + 2 - 5*s**2 + 8*s**2. Let o be r(13). Factor 0*z + 0*z**o + 0 + 1/3*z**4 + 0*z**3.
z**4/3
Let g = 222 + -216. Suppose -2*r + 2 = -j, -3*r = 2*r - 2*j - g. Find h, given that 1/6*h**r + 1/6*h - 1/6*h**3 - 1/6 = 0.
-1, 1
Let h = -13425 - -13456. Let u(j) be the first derivative of -1/12*j**2 + 0*j**4 + h + 1/9*j**3 + 0*j + 1/36*j**6 - 1/15*j**5. Determine l, given that u(l) = 0.
-1, 0, 1
Factor 0 + 1/4*q**3 + 3/2*q**2 + 0*q.
q**2*(q + 6)/4
Let u = 40824 - 204092/5. Suppose -36/5*s**2 - 8/5 - 4/5*s**4 + 4*s**3 + u*s = 0. Ca