pose f(u) = 0. Calculate u.
-1, 1, 14
Let c(t) be the second derivative of 0 + t**3 - 1/30*t**4 + 0*t**2 + 19*t. Determine r, given that c(r) = 0.
0, 15
Let v(y) = 946*y**2 - 3*y + 4. Let k be v(1). Suppose -k*c + 954*c - 14 = 0. Factor -1/4*h**4 - 1/2*h**c - 3/4*h**3 + 0 + 0*h.
-h**2*(h + 1)*(h + 2)/4
Suppose 0 = -4*r + 16, -5*s - 4*r = -r - 22. Let x(g) = -g**2 - 8*g. Let j be x(-4). Factor 24*b + 24*b**3 - b**5 - 24*b + 3*b**5 - j*b**s - 12*b**4.
2*b**2*(b - 2)**3
Let h(q) = 46*q**3 + 97*q**2 + 181*q + 80. Let m(s) = 165*s**3 + 339*s**2 + 633*s + 279. Let y(u) = -18*h(u) + 5*m(u). Factor y(x).
-3*(x + 1)**2*(x + 15)
Let d = 38980 - 38978. Let b(q) be the first derivative of -7/4*q + 13/8*q**d - 1/16*q**4 - 29 - 5/12*q**3. Determine z, given that b(z) = 0.
-7, 1
Let o(v) be the third derivative of v**6/40 - 9*v**5/20 - 9*v**4/2 - 2*v**2 + 854. What is f in o(f) = 0?
-3, 0, 12
Let g = 11217 + -11212. Let s(o) be the first derivative of 0*o**2 - 5/2*o**6 + 20/3*o**3 - 7*o**g + 0*o + 0*o**4 + 13. Find v, given that s(v) = 0.
-2, -1, 0, 2/3
Suppose 489*m + 21 = 492*m. What is k in -13*k - 16*k**3 + 0*k**4 - 2 + 8 - k**4 + 17*k**3 + m*k**2 = 0?
-3, 1, 2
Let n(f) be the third derivative of -37/105*f**5 + 10 + 1/28*f**6 + 11/7*f**4 - 24/7*f**3 + 4*f**2 + 0*f - 1/735*f**7. What is o in n(o) = 0?
1, 2, 6
Let v(r) = -69*r**2 + 348*r. Let l(g) = 150*g**2 - 696*g. Let t(n) = 6*l(n) + 13*v(n). Solve t(c) = 0.
-116, 0
Suppose 1307192*q**4 - 7*q - 5*q - 9*q**3 + 3*q**5 + 24*q**2 - 1307198*q**4 = 0. What is q?
-2, 0, 1, 2
Factor 1/2*x**3 - 3 + 3*x**2 - 1/2*x.
(x - 1)*(x + 1)*(x + 6)/2
Let 156*s**4 - 82*s**2 - 278*s**2 + 1494*s**3 + 20*s**5 - 2904*s**3 - 31*s**4 = 0. What is s?
-12, -1/4, 0, 6
Let -9/7*g**3 + 51/7 - 159/7*g**2 - 99/7*g = 0. Calculate g.
-17, -1, 1/3
Let u be (-2 - -1 - -2)/(74/148). Let b be (54/(-378))/(u/(-8)). Solve 8/7 + b*k**2 - 2/7*k**5 - 16/7*k**3 + 18/7*k - 12/7*k**4 = 0.
-4, -1, 1
Let z(x) = -15*x**2 + 33315*x - 32975. Let d(m) = -m**2 + 2082*m - 2061. Let b(t) = -65*d(t) + 4*z(t). Factor b(a).
5*(a - 413)*(a - 1)
Let q be (-36)/(-15) - 2/5. Let l be (-79)/(-632) - -2*20/192. Find c such that l*c**q + 1/6*c**3 + 0 + 1/6*c = 0.
-1, 0
Let d be (-20)/(-24)*-4*(-6)/(-4) - -7. Let a(v) be the second derivative of 0 - 4/9*v**d - 5/27*v**3 + 9*v - 1/54*v**4. Factor a(m).
-2*(m + 1)*(m + 4)/9
Let q(g) be the second derivative of 0*g**2 - 1/75*g**6 - 5 + 0*g**5 + g + 2/15*g**4 + 0*g**3. Determine u, given that q(u) = 0.
-2, 0, 2
Let a = 84 - -176. Suppose -16*s - a*s**3 + 639*s**2 - 339*s**2 - 476*s**4 - 60*s**5 + 624*s**2 - 112 = 0. What is s?
-7, -2, -1/3, 2/5, 1
Let u(j) be the second derivative of 9/2*j**2 + 0 + 1/12*j**4 - 42*j + 5/3*j**3. Factor u(g).
(g + 1)*(g + 9)
Let m(f) be the first derivative of -f**4/4 - 20*f**3/3 - 19*f**2/2 - 600. Factor m(k).
-k*(k + 1)*(k + 19)
Let y(x) = -2*x**3 - x**2 + 3*x - 3. Let w(a) = -18*a**3 - 2072*a**2 - 534546*a - 1060924. Let b(k) = w(k) - 8*y(k). Factor b(d).
-2*(d + 2)*(d + 515)**2
Suppose -232/19*b + 102/19*b**2 + 120/19 - 8/19*b**3 = 0. What is b?
3/4, 2, 10
Find n, given that 33510 + 88902 - 100*n**2 + n**3 - 215*n**2 + 39592*n - 86*n**2 = 0.
-3, 202
Let n(u) = 28. Let a(b) = 5. Let s(t) = 11*a(t) - 2*n(t). Let j(r) = -35*r**3 + 10*r**2 - 5. Let c(g) = -j(g) + 5*s(g). Factor c(z).
5*z**2*(7*z - 2)
Let j be ((-4)/130)/(65 + 32208/(-495)). Factor -6/13*n + j*n**2 - 2/13*n**3 + 2/13.
-2*(n - 1)**3/13
Let -7*b**4 + 9*b**4 + 555 + 2601*b**2 + 12*b - 5*b**4 + 0*b**4 + 858*b**3 - 4023 = 0. Calculate b.
-2, 1, 289
Solve 120*b + 33*b**2 + 31 + 39*b + 59 - 13*b + 37*b = 0 for b.
-5, -6/11
Let y(l) be the second derivative of l**5/40 + l**4/3 - 95*l**3/12 + 75*l**2/2 + 54*l + 2. Factor y(c).
(c - 5)*(c - 2)*(c + 15)/2
Let o(s) be the third derivative of 1/336*s**8 + 5 + 17/30*s**5 - 20/3*s**3 - 3/2*s**4 - 2/35*s**7 + 0*s + 17/120*s**6 - 11*s**2. Solve o(j) = 0.
-1, 2, 10
Let d be 8*(5/6 - 6/(-9)). Suppose 2*t = 3*t, 0 = -4*l + 3*t + d. Let -214 - l*m**2 - 46*m - 374 - 38*m = 0. Calculate m.
-14
Let q = -26437/6 - -4407. Let z(v) be the second derivative of -18*v + 0*v**2 - 5/6*v**4 + 3/4*v**5 + 0*v**3 + q*v**6 + 0. Factor z(t).
5*t**2*(t + 1)*(5*t - 2)
Factor -294350 - 2/7*y**2 + 580*y.
-2*(y - 1015)**2/7
Let t(v) be the second derivative of 2*v**6/15 - 8*v**5/5 + 5*v**4/3 + 28*v**3/3 + 25*v + 6. Factor t(r).
4*r*(r - 7)*(r - 2)*(r + 1)
Let y(j) be the first derivative of j**6/3 - 4*j**5/5 - 24*j**4 - 84*j**3 - 81*j**2 + 214. Factor y(c).
2*c*(c - 9)*(c + 1)*(c + 3)**2
Suppose 129*u = 144*u + 10665. Let q = -12085/17 - u. Find v, given that -2/17*v**5 + 8/17*v**3 + 0*v + 8/17*v**2 - q*v**4 + 0 = 0.
-2, -1, 0, 2
Let b = -862156 - -862159. Determine u, given that 147/4*u**2 + 147/8*u**5 + 21/2*u**4 + 105/2*u + 9 - 1017/8*u**b = 0.
-3, -2/7, 1, 2
Suppose 4*b - 3*r - 23 = 0, 2*b = -2*r - 0 - 6. Let h be -2 - (1 + 4 + (3 - 25)). Factor -5*f**3 + 6*f + 3*f - 9*f + h*f**b.
-5*f**2*(f - 3)
Let h be (-10404)/7803 - 64/(-30). Find o such that -2/5*o**3 + 4/5*o**2 + 2/5*o - h = 0.
-1, 1, 2
Let c be (-13)/6*528/(-429). Find s such that 4/3 + 4/3*s**4 + 4/3*s**5 - 8/3*s**2 + 4/3*s - c*s**3 = 0.
-1, 1
Let s be (24/75)/((-14)/(-35))*14 - (5 - 13). Factor -93/5*v + 3/5*v**2 - s.
3*(v - 32)*(v + 1)/5
Let c(w) be the third derivative of 0 + 193*w**2 + 7/60*w**5 - 2/3*w**3 + 0*w - 1/70*w**7 - 1/120*w**6 + 1/336*w**8 + 0*w**4. Determine j so that c(j) = 0.
-1, 1, 2
Let f(b) = 9*b - 16. Let q be f(2). Let -4 - 4*s**2 + 24 - q*s - 14*s = 0. Calculate s.
-5, 1
Let v(t) be the first derivative of 2*t**3/15 - 16*t**2/5 + 22*t - 887. Suppose v(k) = 0. Calculate k.
5, 11
Let y(q) be the first derivative of -3*q**6/14 - 303*q**5/35 + 12195*q**4/28 - 38799*q**3/7 + 155277*q**2/7 + 262440*q/7 + 5795. Find v such that y(v) = 0.
-60, -2/3, 9
Let y be ((-1)/(-3))/(18/116004*7). Let a = y - 306. Suppose 16/9 + a*g + 1/9*g**2 = 0. Calculate g.
-4
Let a = 2077/60510 - 2/2017. Let j(b) be the first derivative of 1/10*b - 9 + 1/20*b**2 - a*b**3 - 1/40*b**4. Determine t so that j(t) = 0.
-1, 1
Let d = 21 - 17. Let o be d - 1 - (19 + -18). Factor -4*j - 3*j**2 + 12*j**2 - 6*j**2 - 5*j**o.
-2*j*(j + 2)
Let u(d) = d**2 - 8*d - 18. Suppose -4*a = -20, 0 = 5*b - 5*a - 34 + 9. Let p be u(b). Find g such that 30*g**2 + 10 - 15*g**2 - 20*g**p + 5*g = 0.
-1, 2
Let m(n) be the third derivative of -1/1050*n**7 + 0 + 0*n**3 + 61*n**2 + 1/60*n**5 + 1/40*n**4 + 1/600*n**6 + 0*n. Solve m(k) = 0 for k.
-1, 0, 3
Let l(g) = 7*g**3 + 8*g**2 + 18*g - 12. Let w(z) = -8*z**3 - 9*z**2 - 21*z + 14. Let u(a) = 7*l(a) + 6*w(a). Find n, given that u(n) = 0.
-2, 0
Let k(w) = 3*w - 4. Let b be k(2). Suppose -b*s + 71 - 1 = 0. Solve 0 + 9 - 3*p**3 + 27*p**2 + 12 - 10*p - s*p = 0 for p.
1, 7
Let d be 9/16*(19 - 392/21). Let j(r) be the first derivative of 0*r + d*r**2 - 1/8*r**3 - 35. Solve j(v) = 0.
0, 1
Let d be -1*((2 - 3) + 2). Let c be 9 - 20/4 - d. What is i in 451*i**2 + 2 - 2 - 481*i**2 - c*i**3 + 35*i = 0?
-7, 0, 1
Let f(z) be the first derivative of 17/15*z**5 + 32/9*z**3 + 0*z + 1/18*z**6 - 94 + 13/2*z**4 - 64/3*z**2. Factor f(y).
y*(y - 1)*(y + 2)*(y + 8)**2/3
Let p(u) be the first derivative of 55/6*u**3 + 0*u + 35/12*u**6 + 9/2*u**5 + 15/2*u**2 - 165/8*u**4 + 74. Solve p(d) = 0 for d.
-3, -2/7, 0, 1
Let u(b) be the third derivative of -7*b + 0*b**3 + 1/40*b**5 + 0 - 7/160*b**6 + 9*b**2 - 1/70*b**7 + 0*b**4. Factor u(y).
-3*y**2*(y + 2)*(4*y - 1)/4
Suppose -3*m - 2*b = -36 + 37, 4*m + 5*b = -20. Let o(z) be the third derivative of 47*z**2 + 0*z**3 + 0 - 1/140*z**m + 0*z - 3/56*z**4. Factor o(d).
-3*d*(d + 3)/7
Let d be (-4)/(-22) + 2 + 62*(-103)/35123. Find f such that 4/11 - 2/11*f - 4/11*f**d + 2/11*f**3 = 0.
-1, 1, 2
Let z(x) be the first derivative of 190 + 32/3*x**2 + 0*x - 4*x**3 + 1/6*x**4. Factor z(r).
2*r*(r - 16)*(r - 2)/3
Factor 10*d - 13/3*d**2 - 1/3*d**4 - 8/3*d**3 + 24.
-(d - 2)*(d + 3)**2*(d + 4)/3
Let d(k) be the third derivative of 3*k**8/28 + 22*k**7/21 + 52*k**6/15 + 8*k**5/5 - 56*k**4/3 - 160*k**3/3 - 263*k**2 - 2*k. Determine r, given that d(r) = 0.
-2, -10/9, 1
Let x(t) be the third derivative of t**8/720 + t**7/420 - t**6/45 + 109*t**5/30 - 3*t**2. Let w(r) be the third derivative of x(r). Solve w(d) = 0.
-1, 4/7
Let l be (-2)/15