5 - k**4/2 - 452*k**3/3 - 224*k**2 - 2871. Determine u, given that b(u) = 0.
-14, -1, 0, 16
Suppose -11 = 2*f - 5*c - 16, 3*c = 5*f - 22. Factor -9*u**3 - f*u**5 - 11 + 30*u**4 - 16*u**3 + 11.
-5*u**3*(u - 5)*(u - 1)
Suppose 251*h + 197 - 1457 = -5. Let l(o) be the first derivative of 21 + 38/21*o**3 + 0*o - 11/14*o**4 - 8/35*o**h - 4/7*o**2. Find q such that l(q) = 0.
-4, 0, 1/4, 1
Suppose -6*n = -99 - 105. Let f be (-3)/((-6)/2) - (-68)/n. Solve -13/2*s**f + s**2 + 0*s + 0 = 0 for s.
0, 2/13
Factor -2118*f**3 + 2*f**4 - 242520*f**2 + f**4 + 616347*f**2.
3*f**2*(f - 353)**2
Determine t, given that -138/5*t - 2/5*t**3 + 68/5 + 72/5*t**2 = 0.
1, 34
Let r(q) be the second derivative of q**6/60 + 179*q**5/120 + 505*q**4/24 + 1075*q**3/12 - 625*q**2/6 + 73*q - 11. Determine h so that r(h) = 0.
-50, -5, 1/3
Let v(k) be the second derivative of 11*k**6/180 - 31*k**5/120 + 2*k**4/9 + k**3/9 - 16*k - 6. Factor v(x).
x*(x - 2)*(x - 1)*(11*x + 2)/6
Suppose 0 = -5*n - 4*s - 4, n - 5*s - 29 = 5. Determine b so that 18/5*b**n + 3/5*b**5 + 0 - 18/5*b**2 - 3/5*b**3 + 0*b = 0.
-6, -1, 0, 1
Let f(l) be the third derivative of -l**7/105 + 11*l**6/5 + 403*l**5/30 + 45*l**4/2 + 1231*l**2 + 4. Solve f(h) = 0 for h.
-2, -1, 0, 135
Factor 26/19*r**2 + 24/19*r**3 + 0*r + 0 - 2/19*r**4.
-2*r**2*(r - 13)*(r + 1)/19
Let f(q) be the third derivative of q**7/84 - 173*q**6/240 + 5*q**5/6 + 17*q**4/12 + 416*q**2 + 2*q + 2. Factor f(g).
g*(g - 34)*(g - 1)*(5*g + 2)/2
Let z(b) = -3*b**4 + 488*b**3 + 1470*b**2 + 1460*b + 489. Let x(l) = -5*l**4 + 487*l**3 + 1473*l**2 + 1459*l + 490. Let d(p) = -2*x(p) + 3*z(p). Factor d(j).
(j + 1)**3*(j + 487)
Let h(q) be the first derivative of 2*q**6/15 - 16*q**5/25 + 3*q**4/5 + 401. Find p, given that h(p) = 0.
0, 1, 3
Let n be 5/10*(10/20)/(-5*(-6)/384). What is w in -189/5 - 18*w**2 - 1/5*w**4 + n*w**3 + 216/5*w = 0?
3, 7
Let k(n) be the third derivative of n**6/100 + 47*n**5/300 - 17*n**4/60 - 104*n**3/15 + 2*n**2 - 1975*n. Factor k(v).
(v + 2)*(v + 8)*(6*v - 13)/5
Suppose -3*z + 9*z = -12*z + 2*z. Let r be (-12)/66 - 92/(-143). Factor 0*f - r*f**4 + z + 0*f**2 - 2/13*f**5 - 4/13*f**3.
-2*f**3*(f + 1)*(f + 2)/13
Suppose 0 = 4*j - 0 - 12, -3*r - 4*j + 18 = 0. Suppose 2*u + 5*o + 6 = 0, -62*o + 57*o - r = 4*u. Factor 0 + 2/5*z**u - 2/15*z + 8/15*z**3.
2*z*(z + 1)*(4*z - 1)/15
Let z be ((-21)/(-27))/((-1106)/(-25122)) + -15. Let 0*k - 2/9*k**5 + 0 + 16/9*k**3 - z*k**2 + 2/9*k**4 = 0. What is k?
-3, 0, 2
Let d(z) be the first derivative of -z**7/6 + 37*z**6/60 - z**5/15 - z**4/3 + 7*z**2 + 21. Let c(s) be the second derivative of d(s). Solve c(r) = 0.
-2/7, 0, 2/5, 2
Let t(f) = -f - 1. Let l be (-5 - -2 - -12)*3. Let n = 23 - l. Let d(k) = k**2 - 3. Let b(h) = n*d(h) + 4*t(h). Factor b(y).
-4*(y - 1)*(y + 2)
Let m(z) be the third derivative of z**6/210 - z**5/7 + 47*z**4/42 - 22*z**3/7 - 2*z**2 - 3*z + 2. Factor m(l).
4*(l - 11)*(l - 3)*(l - 1)/7
Let y(v) be the second derivative of -v**4/15 - 28*v**3/5 - 544*v**2/5 - 7508*v. Factor y(q).
-4*(q + 8)*(q + 34)/5
Let g(u) be the third derivative of -u**5/100 - 97*u**4/4 - 47045*u**3/2 + 2611*u**2. Factor g(l).
-3*(l + 485)**2/5
Determine p so that -2256/5*p + 424128/5 + 3/5*p**2 = 0.
376
Let n(i) be the third derivative of -i**6/40 + 19*i**5/20 - 17*i**4/4 + 9*i**2 - 6. Factor n(z).
-3*z*(z - 17)*(z - 2)
Let z be ((-13)/156*6)/((-1)/62). Factor 21*k**3 - 15*k**4 - 15*k**3 - 19*k**4 + z*k**4 - 15*k**3.
-3*k**3*(k + 3)
Let f(b) be the first derivative of -1/2*b**2 + 1/4*b**4 - 1/3*b**3 + 46 + b. Factor f(x).
(x - 1)**2*(x + 1)
Let g(k) be the second derivative of 7/12*k**4 + 9/2*k**2 + 1/20*k**5 - 17/6*k**3 + 5 - k. Factor g(o).
(o - 1)**2*(o + 9)
Let x(z) be the third derivative of -z**5/210 + 856*z**4/21 - 2930944*z**3/21 - 1999*z**2. Determine l, given that x(l) = 0.
1712
Let b be 1*4/6*((-1308)/(-3706))/((-18)/(-136)). Solve 0 - 2/9*h**4 + b*h**3 - 34/9*h**2 + 20/9*h = 0.
0, 1, 2, 5
Suppose 63*r + 30 = 2*s + 68*r, 5*s - 2*r = -12. Let g(l) be the second derivative of 8/21*l**3 - 18*l + 16/7*l**2 + s + 1/42*l**4. Factor g(q).
2*(q + 4)**2/7
Let s be 23/((-920)/(-2940)) + -11. Suppose 3*n - 66 + 57 = 0. Determine b, given that 1/2*b**4 + 75/2*b**2 + 0 + s*b + 15/2*b**n = 0.
-5, 0
Suppose 4*h + 35 = 11*h. Let f(r) be the first derivative of -8/9*r**3 + 0*r - 2*r**4 + 0*r**2 - 2/3*r**h - 21. Factor f(g).
-2*g**2*(g + 2)*(5*g + 2)/3
Let i(f) be the third derivative of f**7/630 - 2*f**6/45 + 2*f**5/5 + 9*f**4/8 - 71*f**2. Let b(r) be the second derivative of i(r). Factor b(c).
4*(c - 6)*(c - 2)
Suppose 0 = -5*c + 95 - 155. Let z be (c/(-135))/((-30)/(-135)). Determine y, given that -z*y**4 - 12/5*y**2 - 10 + 16/5*y**3 - 16*y = 0.
-1, 5
Find p such that 19*p**3 - 19*p - 1516 + 64*p**2 + 25*p**3 - 25*p - 1388 - 40*p**3 = 0.
-11, 6
Let a = -174 + 172. Let l be (a/(-1))/((-48)/(-9)). Factor 3/4*p - l*p**2 + 0.
-3*p*(p - 2)/8
Let m = -86 - -96. Suppose -m*n + 110 = n. Factor -10*b**3 - n*b**3 + 20*b**3 - 5*b**3.
-5*b**3
Suppose -295*t = -118*t + 367*t. Factor 5/3*k + t + 1/3*k**3 + 2*k**2.
k*(k + 1)*(k + 5)/3
Let p = 1440 - 264. Let d be (p/(-70))/(1/(-5)). Factor d*g**2 + 36 - 10*g**2 - 10*g**2 - 36*g - 60*g.
4*(4*g - 3)**2
Suppose 91 = 8*z - 85. Find s, given that -5*s**3 - 24*s + 0*s**2 + 17 - z*s**2 + 1 + s**3 = 0.
-3, 1/2
Suppose -5*r - 21 = -2*z + z, 12 = -4*r - 4*z. Let a be 2448/6 + (r - -1). Factor -a*b**2 + 405*b**2 - 3*b**3 + 3*b.
-3*b*(b - 1)*(b + 1)
Let b = -2712 + 13566/5. Let a(c) be the first derivative of 4/5*c - 1 - 7/15*c**3 + b*c**2. Factor a(k).
-(k - 2)*(7*k + 2)/5
Let w(x) be the first derivative of -x**4/4 + 20*x**3/3 + 11*x**2/2 - 140*x - 633. Let v be w(20). Factor 100*s + 5/4*s**3 + 85/4*s**2 + v.
5*(s + 1)*(s + 8)**2/4
Let i(p) = 2*p**4 + 110*p**3 - 356*p**2 - 76*p. Let m(j) = j**4 + 110*j**3 - 356*j**2 - 78*j. Let q(k) = -9*i(k) + 10*m(k). What is z in q(z) = 0?
-1/4, 0, 6, 8
Let s(d) = 4*d**2 + 17*d + 10. Let n(l) = 127. Let a(c) = -109. Let i(f) = 7*a(f) + 6*n(f). Let v = -1 - -6. Let b(g) = v*s(g) + 30*i(g). What is w in b(w) = 0?
-4, -1/4
Let t(i) = 67*i**2 - 141*i + 453. Let y(q) = -358*q**2 + 704*q - 2266. Let n(p) = 16*t(p) + 3*y(p). Factor n(l).
-2*(l - 3)*(l + 75)
Let i(p) be the third derivative of 0*p**3 + 1/10*p**7 - 6*p**2 + 3/10*p**6 + 6 - 1/4*p**4 + 3/20*p**5 + 0*p. Factor i(b).
3*b*(b + 1)**2*(7*b - 2)
Let t(p) be the first derivative of -97*p**3/6 + 146*p**2 - 6*p + 4561. Factor t(k).
-(k - 6)*(97*k - 2)/2
Let f(b) = -232*b + 470. Let h be f(2). Let n(l) be the second derivative of -2*l**3 - 3/4*l**4 - 36*l - 3*l**2 - 3/20*l**5 + 0 - 1/80*l**h. Factor n(a).
-3*(a + 2)**4/8
Suppose 1193*b - 757 - 1567 = 1255. Factor -50/11*t**4 - 16/11*t + 72/11*t**2 + 0 - 60/11*t**b.
-2*t*(t + 2)*(5*t - 2)**2/11
Let n(r) be the third derivative of 1/24*r**5 + 3/8*r**4 - 3/160*r**6 - 7/3*r**3 + 2*r**2 + 1/840*r**7 + 0*r - 216. What is c in n(c) = 0?
-2, 2, 7
Let v be (-837)/(-180) - 75/(-125). Suppose -1/4*p**2 + 5*p + v = 0. Calculate p.
-1, 21
Let f = -1518 - -984. Let x = f - -762. Factor -x*d - 4 - 8 + 72*d - 195*d**2 - 312*d**2.
-3*(13*d + 2)**2
Let j(s) be the second derivative of 0*s**2 + 1/2*s**3 - 79*s + 0 - 5/24*s**4 - 7/40*s**5 + 1/12*s**6 + 1/84*s**7. Let j(h) = 0. What is h?
-6, -1, 0, 1
Solve 7689529/3 + 1/3*r**2 + 5546/3*r = 0 for r.
-2773
Let k(l) be the third derivative of -l**5/90 - 169*l**4/12 + 3*l**2 - 815*l + 2. Let k(t) = 0. Calculate t.
-507, 0
Factor -149/3*y**2 - 27/2 - 7/2*y**4 + 23*y**3 + 1/6*y**5 + 87/2*y.
(y - 9)**2*(y - 1)**3/6
Let k(g) be the first derivative of -g**3/18 + 89*g**2/12 - 29*g - 9562. Factor k(l).
-(l - 87)*(l - 2)/6
Factor -7138*z**2 + 6889/2*z**3 + 1005/2*z - 9.
(z - 2)*(83*z - 3)**2/2
Let b(m) be the second derivative of -m**5/20 + m**4/2 - 4*m**3/3 - 6586*m. Factor b(n).
-n*(n - 4)*(n - 2)
Let g = 199862/21 + -28550/3. Factor -4/7*l**3 + g*l - 48/7 + 48/7*l**2.
-4*(l - 12)*(l - 1)*(l + 1)/7
Let s(o) be the second derivative of -o**7/168 - 5*o**6/24 + 13*o**5/40 - 3*o - 10. Let s(g) = 0. Calculate g.
-26, 0, 1
Let b(z) be the second derivative of z**6/15 + 22*z**5 + 109*z**4/3 - 220*z**3/3 - 219*z**2 - 1116*z. Solve b(w) = 0.
-219, -1, 1
Suppose 7*c + 27 - 13 = 0. Let v be c*((-41)/1722)/(2/6). Let -3/7*r**3 + 0 - v*r - 3