*u**3/2 - 75*u**2 + 78*u + 12. Factor q(j).
-3*(j - 2)*(j + 1)*(4*j - 25)
Let x = 357 + -355. Suppose -x*a + 4 = 4*p, 4*a = p - 1 - 0. Let a + 0*r - 6/5*r**3 - 3/5*r**2 - 3/5*r**4 = 0. Calculate r.
-1, 0
Let y(d) be the first derivative of -2*d**3/27 - 56*d**2/9 - 416*d/9 - 540. Solve y(a) = 0 for a.
-52, -4
Let s(w) be the first derivative of w**5/4 - 3*w**4/4 + 3*w**3/4 - w**2/4 + 83. Factor s(r).
r*(r - 1)**2*(5*r - 2)/4
Let s(i) be the first derivative of 49*i**5/10 - 483*i**4/2 + 272*i**3 - 116*i**2 + 76*i + 191. Let b(w) be the first derivative of s(w). Solve b(n) = 0.
2/7, 29
Let l(u) be the second derivative of -7*u**6/6 - 29*u**5/2 - 325*u**4/12 - 35*u**3/3 + 10354*u. Factor l(p).
-5*p*(p + 1)*(p + 7)*(7*p + 2)
Let x = 18/377 - -161/4524. Let w(v) be the second derivative of -4*v**2 + 0 - x*v**4 - 42*v - 3/2*v**3. Solve w(l) = 0.
-8, -1
Let b(p) be the second derivative of 11*p**6/90 + 31*p**5/30 - p**4 + p**3/6 + 4*p**2 + 93*p. Let j(o) be the second derivative of b(o). Factor j(h).
4*(h + 3)*(11*h - 2)
Let z be ((39/390)/(36/330))/(1/8). Let j be 430/126 + (-4)/(-28). Factor -20/9*h**4 - 2/9*h**5 + 0 - z*h**3 - j*h - 80/9*h**2.
-2*h*(h + 1)**2*(h + 4)**2/9
Let b = -91451 - -91454. Solve 0 - 4/7*r**5 + 0*r + 0*r**b + 0*r**2 + 4/7*r**4 = 0.
0, 1
Let f(s) = -s**3 + 10*s**2 - 182*s + 3335. Let x be f(14). What is a in 0 + 8/3*a**4 + 0*a**2 + 0*a - 4*a**x - 1/3*a**5 = 0?
0, 2, 6
Let j(p) = 2*p + 10. Let c be j(-6). Let b be 1*c*(14/21)/(-2). Let 0 - 2/3*v**2 + 0*v - 2*v**4 + 2*v**3 + b*v**5 = 0. Calculate v.
0, 1
Let b be -14 + 1244/66 - 56/308. Determine a so that b + 20/3*a**3 + 16*a**2 + 2/3*a**4 + 44/3*a = 0.
-7, -1
Let n = 176525 + -1412197/8. Factor 39/4*d - 507/8 - n*d**2.
-3*(d - 13)**2/8
Let g(b) be the third derivative of -1/140*b**7 + 0*b + 1/12*b**5 + 39*b**2 + 0*b**4 - 1/240*b**6 + 0 + 0*b**3. Suppose g(y) = 0. What is y?
-2, 0, 5/3
Factor -129*g**2 - 6*g + 69*g**2 - 3 + 24*g**3 + 9*g + 90*g**2.
3*(g + 1)*(2*g + 1)*(4*g - 1)
Let m be ((-9916)/86765)/((-4)/270 + 1 + -1). Find x, given that 3/7*x**2 + m - 57/7*x = 0.
1, 18
Let g(q) = 8*q**5 + 104*q**4 - 126*q**3 - 343*q**2 + 118*q + 234. Let c(w) = w**5 - 2*w**4 + w**2 - w. Let o(t) = 5*c(t) - g(t). Let o(j) = 0. What is j?
-39, -1, 1, 2
Let b(t) be the third derivative of -t**5/270 + 16*t**4/27 + 304*t**3/9 - 4*t**2 + t - 210. Factor b(i).
-2*(i - 76)*(i + 12)/9
Suppose 120*i - 114 = 101*i. Suppose -22 = -b + 5*v, -5*b = -i*v + 4*v - 18. Solve 4/7*y**b - 8/7*y + 0 - 4/7*y**4 + 8/7*y**3 = 0.
-1, 0, 1, 2
Suppose -1016*r + 436 = -1596. Factor -1/3*q**r - 12 - 4*q.
-(q + 6)**2/3
Let -56*l**2 - 17*l**4 - 18*l**3 - 15*l**4 - 11*l**4 + 42*l**4 = 0. Calculate l.
-14, -4, 0
Let h(v) be the first derivative of -v**7/21 - 43*v**6/15 + 89*v**5/10 - 15*v**4/2 - 8*v + 32. Let g(b) be the first derivative of h(b). Factor g(f).
-2*f**2*(f - 1)**2*(f + 45)
Suppose 5*u - 37 = 4*l, -4 - 3 = u + 4*l. Suppose u*v = -2*n, 3*v + 2*n - 2 = -6. Suppose -10/7*h**3 + 0*h - 6/7*h**4 + 4/7*h**v + 0 = 0. What is h?
-2, 0, 1/3
Factor -1188/5*j - 1192/5 + 4/5*j**2.
4*(j - 298)*(j + 1)/5
Let f be (-5 - (0 + -5)) + ((-8)/14)/((-6936)/32844). Suppose 0 - f*p**2 + 4/17*p = 0. What is p?
0, 2/23
Let x = -275989 - -275992. Find g, given that 70/9*g + 2*g**x + 2/9*g**4 - 22/3*g**2 - 8/3 = 0.
-12, 1
Let r(c) = 2*c**3 - 12*c**2 + 31*c - 5. Let u be r(7). Let s = u + -308. Solve 0 + 6/17*m**5 - 14/17*m**3 + 8/17*m**s - 8/17*m**4 + 8/17*m = 0 for m.
-1, -2/3, 0, 1, 2
Suppose 45*l = 47 + 133. Let t(h) = 7*h**2 + 8*h - 15. Let n(b) = 9*b**2 + 5*b - 14. Let k(w) = l*n(w) - 5*t(w). Factor k(a).
(a - 19)*(a - 1)
Let a(c) be the third derivative of 2*c**7/105 + 2*c**6/3 - c**5/5 - 29*c**4/3 + 80*c**3/3 - 1135*c**2. Solve a(l) = 0 for l.
-20, -2, 1
Let t = -3197/4 + 2835747/3548. Let z = t - -1768/2661. Factor 0 + 4/3*h + z*h**2.
2*h*(h + 2)/3
Let l(j) be the second derivative of -19*j**5/20 - 17*j**4/12 + 58*j**3/3 - 6*j**2 - 16*j + 157. Let l(r) = 0. What is r?
-3, 2/19, 2
Let k(b) = -2*b**3 - 9*b**2 - 15*b - 16. Let d be k(-3). Let p(h) be the third derivative of -1/18*h**3 + 0 - h**d - 1/36*h**4 - 1/180*h**5 + 0*h. Factor p(j).
-(j + 1)**2/3
Suppose -2*v + 5 = -v. Let i = v + -2. Factor -y**i - 9 + 9 + y**2.
-y**2*(y - 1)
Let r(f) be the third derivative of -f**6/80 + 109*f**5/5 - 11881*f**4 - 47*f**2 - 31. Factor r(o).
-3*o*(o - 436)**2/2
Factor 27/8*t**3 + 0 - 57/8*t**2 + 1/8*t**4 + 29/8*t.
t*(t - 1)**2*(t + 29)/8
Let b(g) = -7*g - 84. Let q be b(-13). Find s such that -80 - 40*s**3 - q*s**4 + 91*s**2 - 43*s**2 + 64*s + 5*s**4 + 68*s**2 - 10*s**4 = 0.
-5, -1, 2/3, 2
Factor -50/3 - 2/15*q**3 - 82/5*q**2 + 166/5*q.
-2*(q - 1)**2*(q + 125)/15
Let a(t) be the second derivative of t**4/60 + 243*t**3/10 + 364*t**2/5 + 5208*t. Determine l so that a(l) = 0.
-728, -1
Let n be (1 + -2 + -2)/(-1). Suppose 3*m + 1 = -c - 6, -n*c = 4*m + 6. Factor -11*q + 39*q - 2*q**c + 12 + 12 + 6*q**2.
4*(q + 1)*(q + 6)
Let j(p) = 3*p**3 - 60*p**2 + 77*p + 4. Let s(r) = -11*r**3 + 180*r**2 - 234*r - 13. Let o(l) = 13*j(l) + 4*s(l). Find u, given that o(u) = 0.
-13, 0, 1
Let f(m) be the third derivative of 45*m**2 + 0*m**3 - 1/135*m**7 + 7/270*m**5 - 1/1512*m**8 + 1/18*m**4 + 0*m - 1/108*m**6 + 1. Let f(s) = 0. What is s?
-6, -1, 0, 1
Let a(v) be the second derivative of 15*v**4/4 - 170*v**3/3 - 80*v**2 - 531*v. Factor a(q).
5*(q - 8)*(9*q + 4)
Let w(b) be the third derivative of b**5/80 - 85*b**4/32 + 2*b**2 - 151. Determine y so that w(y) = 0.
0, 85
Factor -385/3*g**2 + 35/2*g**3 + 180*g + 0 + 5/6*g**4.
5*g*(g - 4)*(g - 2)*(g + 27)/6
Suppose 0 = 35*h - 83 - 92. Factor -4*y - 27 + 80*y**2 + 5*y**3 + h + 4*y**3 - 5*y**3 - 58.
4*(y - 1)*(y + 1)*(y + 20)
Factor 0 + 3*a**3 - 1/3*a**4 + 0*a + 10/3*a**2.
-a**2*(a - 10)*(a + 1)/3
Let r(p) = p**2 - p - 5. Let d(l) = 2*l**2 - 50*l + 133. Let x(m) = -5*d(m) + 5*r(m). Factor x(f).
-5*(f - 46)*(f - 3)
Let a be (-19*(-66)/(-2508))/(-2*1). Determine h, given that 3267/4*h + a*h**3 - 35937/4 - 99/4*h**2 = 0.
33
Let q(y) = -y. Let j(v) = -27*v**2 + 10*v - 2. Suppose 2*k - 254 = 5*b, -3*b + 13 = -4*k + 171. Let z = b - -45. Let h(i) = z*q(i) + j(i). Factor h(m).
-(3*m - 1)*(9*m - 2)
Let l = -1072 + 1490. Let u be (-4)/64 - l/(-1056). Determine s, given that 11/3*s**3 - u*s**4 - 35/3*s**2 + 25/3*s + 0 = 0.
0, 1, 5
Let n = 98 - 76. Find f, given that -160*f + 127 - 27 - 5*f**3 + 43*f**2 + n*f**2 = 0.
1, 2, 10
Let u(v) be the third derivative of -49*v**6/60 - 14*v**5/15 - v**4/3 + 1043*v**2 + 1. Find t such that u(t) = 0.
-2/7, 0
Suppose 2*p = 69*c - 67*c + 36, 3*c - 2 = -p. Let r(i) = -45*i**4 + 3*i**3 - 7*i**2 - 7. Let a(w) = -2*w**4 - w**2 - 1. Let d(k) = p*a(k) - 2*r(k). Factor d(y).
2*y**3*(31*y - 3)
Let j(h) be the first derivative of 50*h**6/27 + 464*h**5/9 + 2899*h**4/9 + 784*h**3/27 - 3400*h**2/9 + 1792*h/9 - 14371. Solve j(f) = 0.
-16, -7, -1, 2/5
Let d(j) be the second derivative of -j**6/75 - 186*j**5/25 - 16922*j**4/15 + 46624*j**3/5 - 141376*j**2/5 + 1363*j. Factor d(p).
-2*(p - 2)**2*(p + 188)**2/5
Let h be 12/(-10) + (-13056)/(-4080). Factor -2/9*x**h + 0 - 2/9*x.
-2*x*(x + 1)/9
Let l be 42/399 - 230/(-1064) - ((-300)/(-84) + -4). Suppose -3*m**4 + 3/2 - l*m**5 + 3/2*m**2 + 15/4*m - 3*m**3 = 0. Calculate m.
-2, -1, 1
What is c in -1/3*c**5 + 96*c + 256/3 - 287/3*c**3 - 223/3*c**2 - 11*c**4 = 0?
-16, -1, 1
Let l be (-115)/(-20) - 1/(-4). Let k(p) = -p**4 - 90*p**3 + 171*p**2 - 80*p + 6. Let r(d) = -d**4 + d**2 + 1. Let x(u) = l*r(u) - k(u). Factor x(n).
-5*n*(n - 16)*(n - 1)**2
Let x = -9 - -9. Let p = 2764 - 13816/5. Suppose 12/5*o + p*o**2 + x = 0. Calculate o.
-3, 0
Let x(z) = 70*z**2 + 13*z + 18. Let q be x(-2). Let i = q - 272. Factor -4/9*u**3 + 2/9*u**2 - 2/9*u**4 + i + 4/9*u.
-2*u*(u - 1)*(u + 1)*(u + 2)/9
Let c be (2 - 22/8)*7792/(-4870). Let u = 16 - 13. Suppose 0 - c*h**2 - 2/5*h**4 + 0*h + 8/5*h**u = 0. What is h?
0, 1, 3
Let g(q) = -1601613*q**3 + 82137*q**2 - 1407*q + 2. Let a(x) = 4804839*x**3 - 246410*x**2 + 4220*x - 8. Let t(c) = 3*a(c) + 8*g(c). Factor t(o).
(117*o - 2)**3
Suppose 7*s - 2806 + 986 = 0. Let g = 263 - s. Find n, given that -16/7 + 8/7*n + 15/7*n**2 - 8/7*n**g + 1/7*n**4 = 0.
-1, 1, 4
Let z(g) be the first derivative of -g**4/36 + 79*g**3/27 - 112*g**2/9 - 304*g/9