) be the third derivative of 14*o**2 - 5/12*o**5 + 0*o**3 + 0*o - u*o**6 + 0 - 2/21*o**7 + 5/12*o**4. Factor q(s).
-5*s*(s + 1)*(s + 2)*(4*s - 1)
Suppose -24*s = -7*s - 714. Let m be -8 + 360/44 + s/11. Suppose 0*l + 4/7*l**2 - 1/7*l**m + 4/7*l**3 - 1/7*l**5 + 0 = 0. Calculate l.
-2, -1, 0, 2
Let m(p) be the second derivative of -p**4/12 + 31*p**3/6 + 90*p**2 + 2*p + 60. Factor m(u).
-(u - 36)*(u + 5)
Let k(m) be the third derivative of -363*m**6/10 - 28391*m**5/60 - 1911*m**4 + 216*m**3 + 684*m**2 + 3. Solve k(l) = 0.
-36/11, 1/36
Suppose 6*m = -15*m + 2*m + 38. Find n such that 1/11*n**m + 0 - 1/11*n = 0.
0, 1
Let i(s) be the third derivative of -s**9/60480 + s**7/5040 - s**5/480 - 17*s**4/6 + 65*s**2 - 2*s. Let d(q) be the second derivative of i(q). Factor d(y).
-(y - 1)**2*(y + 1)**2/4
Let u(f) be the first derivative of f**8/168 - f**7/35 + f**6/20 - f**5/30 + f**2 + 18*f - 35. Let d(y) be the second derivative of u(y). What is n in d(n) = 0?
0, 1
Let x(o) be the second derivative of -o**5/270 - o**4/108 + 2*o**3/27 - 4*o**2 - 43*o - 2. Let f(h) be the first derivative of x(h). Factor f(k).
-2*(k - 1)*(k + 2)/9
Let d(w) = -182*w**2 + 22*w - 37. Let u be d(2). Let n be 3 + (-36)/10 - u/385. Let -4/11*l + 0 + n*l**4 - 14/11*l**2 + 12/11*l**3 - 8/11*l**5 = 0. Calculate l.
-1, -1/4, 0, 1, 2
Let w be (-8)/(-2) + 52/(-13). Suppose w*m - 5*m = -115. Let -20*r + r**3 + m*r - 4*r**3 = 0. Calculate r.
-1, 0, 1
Let w(j) be the third derivative of 49/6*j**3 + 65*j - j**2 - 7/12*j**4 + 1/60*j**5 + 0. Factor w(h).
(h - 7)**2
Let i = 1173 + -1080. Suppose 25*v - 56*v = -i. Factor -2/5*d + 2/5*d**v - 6/5 + 6/5*d**2.
2*(d - 1)*(d + 1)*(d + 3)/5
Let z = 36 - 33. Let -4*h**3 - 5 + 2*h**z + 58*h - 32*h - 10*h**2 - 9 = 0. What is h?
-7, 1
Let g(j) be the third derivative of 7*j**6/180 - 1069*j**5/90 - 17*j**4/2 - 235*j**2. Find x, given that g(x) = 0.
-2/7, 0, 153
Let j be (-1236)/(-206)*-1*2/(-4). Let b(m) be the third derivative of 0 - 1/140*m**5 + 27*m**2 - 1/28*m**4 + 0*m + 0*m**j + 1/280*m**6. Factor b(w).
3*w*(w - 2)*(w + 1)/7
Find k, given that -35*k**3 - 2296*k**5 + 30*k - 13*k**4 + 2295*k**5 + 13*k**2 + 6*k**3 = 0.
-10, -3, -1, 0, 1
Let n(h) be the second derivative of 1/50*h**5 - 9/10*h**2 + 7/30*h**4 - 1/30*h**6 - 1/10*h**3 + 1/210*h**7 + 0 - 189*h. Let n(o) = 0. Calculate o.
-1, 1, 3
Let v(g) be the third derivative of 29/60*g**5 + 0*g - 2*g**2 + 5/16*g**4 - 99 + 1/672*g**8 + 17/630*g**7 + 0*g**3 + 8/45*g**6. Suppose v(i) = 0. What is i?
-5, -3, -1/3, 0
Let v(k) = -25*k**3 - 40*k**2 - k + 10. Suppose -45*w + 90 = -35*w. Let n(s) = -51*s**3 - 81*s**2 + 21. Let h(q) = w*v(q) - 4*n(q). Let h(l) = 0. Calculate l.
-1, 2/7
Let m(j) be the first derivative of -3*j**4/4 - 6*j**3 + 81*j**2/2 + 281. Factor m(b).
-3*b*(b - 3)*(b + 9)
Let i(r) = r**3 + 7*r**2 + r + 7. Let o be i(-7). Suppose o = -4*g + 4*z + 12, 9*z - 3 = -4*g + 4*z. Factor -3*l**2 - l**3 - l + 4*l**2 - l**2 + g*l**2.
-l*(l - 1)**2
Let c(z) be the second derivative of 17/20*z**5 + 0*z**3 + 1/30*z**6 + 6*z + 4 + 4/3*z**4 + 0*z**2. Factor c(u).
u**2*(u + 1)*(u + 16)
Let v(b) be the third derivative of -1/33*b**4 + 0 + 77*b**2 + 1/330*b**5 + 1/11*b**3 + 0*b. Solve v(m) = 0 for m.
1, 3
Suppose -1/5*k**3 - 76/5 + 8*k + 37/5*k**2 = 0. Calculate k.
-2, 1, 38
Let q(g) be the third derivative of g**5/270 + g**4/18 - 7*g**3/27 + 1326*g**2. Factor q(k).
2*(k - 1)*(k + 7)/9
Let j = -5775 - -5775. Let w(f) be the second derivative of 0 + 3/20*f**5 + 8*f - 1/14*f**7 + 0*f**3 + 0*f**2 + j*f**6 + 0*f**4. Factor w(i).
-3*i**3*(i - 1)*(i + 1)
Factor 8210*k + 5*k**4 - 3740 - 50*k**3 - 385 + 811*k**2 - 4851*k**2.
5*(k - 33)*(k - 1)**2*(k + 25)
Let g(l) be the second derivative of l**9/15120 - 3*l**8/2240 + l**7/168 + 5*l**6/144 + 25*l**4/3 + 58*l. Let q(s) be the third derivative of g(s). Factor q(y).
y*(y - 5)**2*(y + 1)
Determine b so that 32*b**2 + 59 - 4*b**3 + 13 - 20 + 12 + 499*b - 579*b = 0.
2, 4
Let m(x) be the first derivative of 3*x**5/20 - 47*x**4/24 + 5*x**3/3 - 59*x**2/2 + 2*x + 59. Let v(q) be the second derivative of m(q). Factor v(g).
(g - 5)*(9*g - 2)
Let s = -5 + 208. Let a = s + -201. Factor -2/5*t**a - 6/5 + 8/5*t.
-2*(t - 3)*(t - 1)/5
Let n(x) be the second derivative of 2 - 5/3*x**4 - 8/7*x**2 + 48/7*x**3 + 2*x. Find q such that n(q) = 0.
2/35, 2
Let i(k) = -k**3 - 6*k**2 - 10*k - 1. Let w = -753 - -750. Let j be i(w). Factor 0*a - 1/4*a**j + 0.
-a**2/4
Let o(p) be the second derivative of -p**4/36 + p**3/2 + 26*p**2/3 - 51*p + 9. Factor o(s).
-(s - 13)*(s + 4)/3
Let t = -3/10 + 4/5. Suppose 0 = -2*l - 20, -50 = 915*s - 912*s + 5*l. Solve t*j + 1/4*j**2 + s = 0 for j.
-2, 0
Let f be (-80)/(-45) + 4/18. Suppose -60 = 20*j - 40*j. Let -8*w**2 + 9*w**f - 2*w - j*w**2 = 0. Calculate w.
-1, 0
Suppose 16*g + 44 = 5*t + 13*g, 188 = -5*t - 26*g. Find m, given that -20/3*m - 8*m**2 - 4*m**3 - 2 - 2/3*m**t = 0.
-3, -1
Let r = -3/8675 + -984/164825. Let p = r + 288/475. Determine l, given that 21/5*l**2 - p*l**3 - 48/5*l + 36/5 = 0.
2, 3
Factor -162/7*v**2 + 2/7*v**4 + 0 - 234/7*v + 74/7*v**3.
2*v*(v - 3)*(v + 1)*(v + 39)/7
Let z(n) be the first derivative of n**5/20 + 13*n**4/4 + 169*n**3/2 - 17*n**2 + 92. Let v(u) be the second derivative of z(u). Factor v(m).
3*(m + 13)**2
Factor -34*k - 33296 + 32864 - 3*k**4 - 27*k**3 + 69*k**2 - 38*k + 33*k**3.
-3*(k - 4)**2*(k + 3)**2
Let d = 77656 + -1009526/13. Determine v, given that -6/13 - 8/13*v - d*v**2 = 0.
-3, -1
Let s(i) = -i**3 - 6*i**2 + 4. Let b be s(-6). Suppose -5*c = 2*w + 14, -18 = 5*w + 4*c - 17. Factor -4*q**w + 8/3*q**2 + 0*q + 4/3*q**b + 0.
4*q**2*(q - 2)*(q - 1)/3
Determine d, given that -977*d - 531*d + 13*d**2 + 83*d**2 + 122*d - 2*d**3 + 5292 = 0.
6, 21
What is w in 288/5*w - 6/5*w**2 - 216 - 2/5*w**3 = 0?
-15, 6
Let j be ((253/44 - 7)*-2)/(18/8). Let d(h) be the third derivative of -5/24*h**4 - j*h**3 + 12*h**2 + 1/36*h**5 + 0*h + 0. Let d(f) = 0. What is f?
-1, 4
Let r(n) be the third derivative of -n**8/10080 + n**7/900 + n**6/600 - 41*n**5/30 + 116*n**2. Let y(l) be the third derivative of r(l). What is w in y(w) = 0?
-1/5, 3
Let z(h) be the second derivative of -95/84*h**4 - 15 + 32/21*h**3 - h - 6/7*h**2 + 5/28*h**5. Factor z(x).
(x - 3)*(5*x - 2)**2/7
Let g(c) be the second derivative of -4 - 19*c + 0*c**2 - 13/24*c**4 + 1/12*c**3 + 3/4*c**5. Factor g(x).
x*(3*x - 1)*(10*x - 1)/2
Let t be 129178/1855 + (-10)/265. Factor -10*j**5 - 284/5*j**2 - 42*j**4 - 18/5 - t*j**3 - 114/5*j.
-2*(j + 1)**3*(5*j + 3)**2/5
Let g = 119 - 116. Factor 11*h**g - 5*h**3 - 6*h**3 + 0*h**5 - 5*h**5.
-5*h**5
Let z(j) be the first derivative of 4*j**5/15 - 21*j**4/4 - 91*j**3/9 + 17*j**2 + 1320. Solve z(t) = 0 for t.
-2, 0, 3/4, 17
Let u(w) be the second derivative of 8*w + 0 - 11*w**2 - 1/300*w**6 + 0*w**4 + 1/50*w**5 + 0*w**3. Let x(m) be the first derivative of u(m). Factor x(a).
-2*a**2*(a - 3)/5
Let o be (35/15)/7*15. Suppose -3*w = w - h - 24, -o*w - 4*h = -51. Factor 0 + 2 + 3*t**2 + w + 12*t.
3*(t + 1)*(t + 3)
Let 439/2*d**2 - 11/2*d**3 - 2180*d - 200 = 0. What is d?
-1/11, 20
Let k = -63 + 63. Suppose 10*t - 4*t - 30 = k. What is c in t*c**3 + 12*c**4 + 14*c**3 + c**3 - 7*c**4 + 20*c**2 = 0?
-2, 0
Determine g, given that 3982*g + 64 - 14*g**3 - 79*g**2 - 4246*g + 223*g**2 = 0.
2/7, 2, 8
Let -165/2*c - 1/4*c**2 - 27225/4 = 0. What is c?
-165
Let p be 2/3*((-450)/12)/(-15). Let x(q) be the second derivative of 0 - 4*q - 1/5*q**5 + 0*q**2 - 2*q**3 + 2/15*q**6 - p*q**4. Let x(f) = 0. What is f?
-1, 0, 3
Let l = -508 + 558. Let n be l + -57 - (-76)/10. Factor -3/5*r**3 + 4/5 + 1/5*r**4 + n*r - r**2.
(r - 4)*(r - 1)*(r + 1)**2/5
Let z(d) be the third derivative of d**7/1260 + 3*d**6/40 - d**5/120 - 10*d**4/9 + 3*d**3 - 1131*d**2. Suppose z(u) = 0. What is u?
-54, -2, 1
Let d = -11/593 + 1088/26685. Let a(u) be the first derivative of 3 + 1/15*u**2 + 0*u**3 - 1/15*u**4 + d*u**6 + 0*u**5 + 0*u. Factor a(o).
2*o*(o - 1)**2*(o + 1)**2/15
Let m(j) be the third derivative of 0*j + 176*j**2 + 0*j**3 - 1/3*j**4 - 4/105*j**7 - 7/30*j**6 - 7/15*j**5 + 0. Factor m(p).
-4*p*(p + 1)*(p + 2)*(2*p + 1)
Let u(i) = -11*i + 189. Let w be u(17). Factor 2*c**4 - 18*c**w - 1353*c**3 + 28*c - 1361*c**3 + 2702*c**3.
2*c*(c - 7)*(c - 1)*(c + 2)
Let n = -405647 + 405652. 