e 67*t = 74*t - 63. Suppose -11*d = -t*d. Factor -1/4*v**3 + 1/4*v + 0*v**2 + d.
-v*(v - 1)*(v + 1)/4
Let x(f) be the third derivative of 2*f**3 + 0*f - 84*f**2 + 0 + 13/24*f**4 + 1/60*f**5. Solve x(d) = 0 for d.
-12, -1
Determine m so that -224/13*m**2 + 24*m**3 - 142/13*m**4 + 22/13*m**5 - 64/13*m + 96/13 = 0.
-6/11, 1, 2
Suppose 0 = -34*j + 2666 + 598. Determine u so that 405 + 5*u**3 - j*u**2 + 18*u**2 + 315*u - 7*u**2 = 0.
-1, 9
Let a(w) = 4*w**3 + 120*w**2 + 644*w + 936. Let s(f) = 5*f**3 + 122*f**2 + 645*f + 936. Let d(h) = -3*a(h) + 2*s(h). Find i, given that d(i) = 0.
-52, -3
Let p = 2593 + -2593. Let l(v) be the third derivative of -3/10*v**5 + p*v + 25*v**2 - 7/8*v**4 + 0 + 1/40*v**6 + 0*v**3. Determine a, given that l(a) = 0.
-1, 0, 7
Let n(p) = -21*p**4 - 86*p**3 - 345*p**2 - 525*p - 256. Let x(h) = -5*h**4 - 22*h**3 - 86*h**2 - 130*h - 64. Let m(r) = -2*n(r) + 9*x(r). Factor m(w).
-(w + 2)**3*(3*w + 8)
Let o(d) be the second derivative of 2*d**5 + 19*d**4/3 - 4*d**3/3 + 4161*d. Factor o(f).
4*f*(f + 2)*(10*f - 1)
Let d(f) = -3*f**2 - 26*f - 14. Let s be d(-8). Factor 0*q**3 - 403*q**4 + s*q**3 + 2*q**3 + 399*q**4.
-4*q**3*(q - 1)
Let n(q) = q**4 - 5*q**3 - q**2 + 5*q + 3. Let s(k) = -k**3 + k + 1. Let b be (72/(-21))/(14/(-49)). Let p(o) = b*s(o) - 4*n(o). Find f, given that p(f) = 0.
-1, 0, 1, 2
Solve 8*l - 254/13*l**2 - 40/13*l**5 + 64/13*l**4 + 134/13*l**3 - 8/13 = 0 for l.
-2, 1/10, 1/2, 1, 2
Suppose 17 = 4*m - w, 2*w + 14 = -4*m + 8*m. Suppose -3*x - m*b = -34, 0*x + 4*x = -5*b + 37. Suppose -40*u**2 + 15*u**2 + 22*u**2 - x*u = 0. Calculate u.
-1, 0
Suppose -375/8*z - 93/4 - 3/8*z**3 - 24*z**2 = 0. What is z?
-62, -1
Let u(z) = z**3 + 10*z**2 + 8*z - 5. Let r = -373 - -364. Let k be u(r). Solve 11/7*y**3 + 0 + 4/7*y + 12/7*y**2 + 3/7*y**k = 0 for y.
-2, -1, -2/3, 0
Let q(y) be the first derivative of y**6/9 + 24*y**5/5 + 72*y**4 + 384*y**3 + 1335. Factor q(w).
2*w**2*(w + 12)**3/3
Let g(f) = 5*f**3 + f**2 + 3*f + 3. Let d be g(-1). Let i be 304/44 - 2/d*4. Factor -140/11*a**3 + 40/11*a + i*a**4 + 8/11 - 6/11*a**2.
2*(a - 1)**2*(7*a + 2)**2/11
Let n(s) be the first derivative of -3*s**4/4 - 66*s**3 - 387*s**2/2 - 192*s + 2507. Factor n(q).
-3*(q + 1)**2*(q + 64)
Let q = -713 - -728. Let p be (54/8 - 4) + -16 + q. Find c, given that 0 + p*c - 1/4*c**3 + 3/2*c**2 = 0.
-1, 0, 7
Let 1 - 15039*z**3 - 1573*z + 1032*z - 3 + 4977*z**2 + 15093*z**4 = 0. Calculate z.
-2/559, 1/3
Let s = -56 - -287. Let h be 24/(-20)*(-110)/s. Factor h*o - 1/7 + 4/7*o**3 - 1/7*o**4 - 6/7*o**2.
-(o - 1)**4/7
Let k(i) be the first derivative of -i**4/2 - 4*i**3/3 + 9*i**2 + 36*i - 208. Factor k(q).
-2*(q - 3)*(q + 2)*(q + 3)
Suppose -401*o + 10 = -399*o. Let c(t) be the third derivative of 1/9*t**4 + 0 + 1/6*t**3 + 1/60*t**o + 0*t + 12*t**2 - 1/180*t**6. Factor c(l).
-(l - 3)*(l + 1)*(2*l + 1)/3
Let n(w) be the first derivative of w**4/38 - 218*w**3/57 + 106*w**2/19 + 432*w/19 + 304. Factor n(d).
2*(d - 108)*(d - 2)*(d + 1)/19
Let q = -30264 + 30264. Determine r, given that -4/3*r**4 + 0*r - 5/3*r**3 - 2/3*r**2 - 1/3*r**5 + q = 0.
-2, -1, 0
Let o(z) be the third derivative of 1/3*z**3 + 1/504*z**8 + 0*z + 0 + 11/45*z**5 + 13/36*z**4 + 1/10*z**6 + 1/45*z**7 - 5*z**2. Factor o(r).
2*(r + 1)**4*(r + 3)/3
Suppose -3*y + 86 = 4*z, 208*y - 204*y - 2*z + 32 = 0. Factor -7/4*a - 15/4 + 1/2*a**y.
(a - 5)*(2*a + 3)/4
Let k = -1232 - -728. Let f = -501 - k. Factor -16/11 - 14/11*y**2 - 28/11*y - 2/11*y**f.
-2*(y + 1)*(y + 2)*(y + 4)/11
Let l(s) = -2162*s + 8650. Let v be l(4). Let r(g) be the third derivative of -2 + 0*g - 1/35*g**6 - 1/14*g**4 + 1/10*g**5 - 8*g**v - 1/7*g**3. Factor r(y).
-6*(y - 1)**2*(4*y + 1)/7
Suppose -2*q - 3*r = -137, 0*r = -3*r + 9. What is o in -4*o**4 - q*o**3 + 116*o**3 + 0*o**4 - 25*o**2 - 23*o**2 = 0?
0, 1, 12
Let o(u) be the second derivative of -4/3*u**3 + 26*u - 15/2*u**2 - 1 + 11/18*u**4 - 1/90*u**6 + 0*u**5. Factor o(z).
-(z - 3)**2*(z + 1)*(z + 5)/3
Let w be ((-6770)/2031)/(40/(-3)). Factor -9/4*n**3 - w*n**4 - 3/2*n**2 + 0 + 4*n.
-n*(n - 1)*(n + 2)*(n + 8)/4
What is r in 837225/8*r**5 + 1833/8*r - 1389885/8*r**4 + 3/8 + 140445/4*r**2 + 134967/4*r**3 = 0?
-1/3, -1/305, 1
Let z(t) = -t**3 - 45*t**2 - 14*t. Let c(h) = -5*h**3 - 180*h**2 - 55*h. Let j = -296 - -290. Let b(l) = j*c(l) + 22*z(l). Factor b(y).
2*y*(y + 11)*(4*y + 1)
Let t = 161 - 161. Suppose t = 35*i - 11*i. Factor 0*p**2 - 4/5*p + i + 1/5*p**4 + 3/5*p**3.
p*(p - 1)*(p + 2)**2/5
Let x(t) be the first derivative of -5*t**3/3 - 215*t**2/2 - 410*t + 2295. Factor x(z).
-5*(z + 2)*(z + 41)
Let o(y) be the third derivative of -94178*y**5/135 - 217*y**4/9 - y**3/3 - 3*y**2 - 71*y. Solve o(j) = 0 for j.
-3/434
Let o(z) = 2*z**2 + 18*z + 46. Let h be o(-4). Factor -62*k**3 - 51*k + h*k**2 + 23*k**2 + 5*k**2 + 59*k**3 + 20*k**2.
-3*k*(k - 17)*(k - 1)
Let p(x) be the first derivative of -7*x**2/2 - 17*x + 34. Let u be p(-3). Factor u + 5*k - 24 + 239*k**2 - 224*k**2.
5*(k - 1)*(3*k + 4)
Let o(g) be the second derivative of 7200*g**2 - 5 - 19*g + 1/3*g**4 + 80*g**3. Solve o(s) = 0.
-60
Let k be (105/(-98))/15 - (-262)/140. Solve k*q**2 + 147/5*q + 48/5 = 0 for q.
-16, -1/3
Let 193*b**2 + 52*b**3 - 383*b**2 + 290*b**4 + 33*b**3 + 15*b**5 = 0. Calculate b.
-19, -1, 0, 2/3
Let m be -9 - (15 + (3 - 30)). Let m + 1/2*d**2 + 7/2*d = 0. What is d?
-6, -1
Suppose 0 = 4*i - 2*i - 12. Let c(z) = 3*z**2 - 16*z + 17. Let k be c(1). What is p in -i*p**2 - 6*p + k*p**3 + 11*p - 3*p = 0?
0, 1/2, 1
Let l be (704/462)/(11/(-132)*-8). Factor -4/7*h**2 - l - 20/7*h.
-4*(h + 1)*(h + 4)/7
Suppose -2270*p - 1288225 - 199*p**2 + 124*p**2 + 74*p**2 = 0. Calculate p.
-1135
Let r = -48 - -60. Solve 105*h**2 - 7*h**5 - 218*h + 286*h - 6*h**4 + r + 47*h**3 - 3*h**4 = 0 for h.
-2, -1, -2/7, 3
Let u(d) = -d**3 + 10*d**2 - 13*d - 22. Let a be u(8). Let 1 + 62*y**2 - 4*y**4 - 1 + 8*y**3 - 50*y**a = 0. Calculate y.
-1, 0, 3
Let l(b) = -b**5 + 5*b**4 + 74*b**3 + 108*b**2 - 438*b + 267. Let y(g) = g**4 - g + 3. Let o(q) = -4*l(q) + 20*y(q). Let o(z) = 0. What is z?
-7, -4, 1, 9
Factor 25440*w - 10*w**3 + 165*w**2 + 103184 - 631*w**2 + 9*w**3 + 98416 + 3*w**3.
2*(w - 120)**2*(w + 7)
Factor 4*r**2 - 43*r**3 - 78*r**4 - r**5 + 16*r**2 + r**2 + 101*r**4.
-r**2*(r - 21)*(r - 1)**2
Let b(n) be the first derivative of -2*n**3/45 + 678*n**2/5 - 11108. Solve b(z) = 0.
0, 2034
Let y(v) be the first derivative of 2*v - 1/18*v**3 - 91 + 11/12*v**2. Factor y(k).
-(k - 12)*(k + 1)/6
Solve 8170/3 - 8165/3*u - 5/3*u**2 = 0 for u.
-1634, 1
Let n(t) = t**3 + 60*t**2 + 115*t - 3190. Let h be n(-57). Factor 0 + 12/5*z**h + 3/5*z.
3*z*(4*z + 1)/5
Let q = -249/550 - -26/55. Let c(u) be the second derivative of 0*u**3 - q*u**5 + 0 + 23*u + 0*u**2 + 0*u**4. Factor c(j).
-2*j**3/5
Let o(i) be the third derivative of -i**5/60 + 325*i**4/6 - 211250*i**3/3 - 1868*i**2 - 2. Factor o(l).
-(l - 650)**2
Factor -3757*q + 9195*q**2 + 2333*q - 2*q**5 - 251*q**2 - 4528*q + 756*q**4 - 4488*q**3.
-2*q*(q - 372)*(q - 2)**3
Let g(s) be the third derivative of s**7/210 + 11*s**6/90 + 53*s**3/6 + 43*s**2 - 2. Let y(a) be the first derivative of g(a). Factor y(p).
4*p**2*(p + 11)
Let w be (-1 - -2)*-1 + (37 - 34). Let m(u) be the first derivative of -w*u**2 + 4*u**3 - 7/5*u**5 + 0*u + 9/4*u**4 - 11. Factor m(o).
-o*(o - 2)*(o + 1)*(7*o - 2)
Let x(s) = -123*s - 1104. Let f be x(-9). Let t(r) be the first derivative of 1/3*r**f + 0*r + 4 - 1/4*r**4 + 0*r**2 - 1/5*r**5 + 1/6*r**6. Factor t(g).
g**2*(g - 1)**2*(g + 1)
Let l(m) be the second derivative of m**6/120 + 3*m**5/10 + 9*m**4/2 - 10*m**3/3 + m**2/2 - 25*m - 1. Let o(q) be the second derivative of l(q). Factor o(j).
3*(j + 6)**2
Let f(r) = -44*r**3 + 930*r**2 - 792*r - 88. Let i(z) = -46*z**3 + 931*z**2 - 794*z - 84. Let m(c) = 7*f(c) - 6*i(c). Solve m(o) = 0 for o.
-1/8, 1, 28
Let o = 47 + -43. Let i(j) = 14*j - 24. Let v be i(o). Factor 11*u**2 - 6*u**2 + v*u - 17*u.
5*u*(u + 3)
Let g(i) = -47*i**3 - 6*i**2 - 3*i + 1. Let r be g(-1). Let u = -11 + 14. Factor s**3 + u*s + r + 6*s**2 - 53 + 7*s**3 + 2*s**4 - 11*s.
2*(s - 1)*(s + 1)*(s + 2)**2
Let f(y) = -4*y + 32. Let x be f(9). Let p be (-8)/(-2) + (-5 - x). Factor 6*g**4 - 9*g**4 - 9*g + 3*g**2 + 12*g**2 - 3*g**p.
-3*g*(g - 1)**2*(g + 3)
Let n(v) 