*2*(z - 3)*(z - 1)
Let j(k) be the second derivative of k**4/96 + 37*k**3/8 + 12321*k**2/16 - 532*k. Factor j(x).
(x + 111)**2/8
Find w, given that 2*w**3 + 66 - 8*w**2 - 16*w**2 + 7*w**2 + w**3 - 13*w**2 - 39*w = 0.
-2, 1, 11
Let o(s) be the second derivative of -s**4/12 + 7*s**3/6 - 3*s**2 + 95*s. Factor o(n).
-(n - 6)*(n - 1)
Let u = -51558/7 + 7370. Find y, given that -40/7*y**2 + 80/7*y - u - 20/7*y**3 + 12/7*y**4 = 0.
-2, 2/3, 1, 2
Let i(n) be the second derivative of 0 + 1/6*n**2 - 1/36*n**4 + 13*n + 0*n**3. What is k in i(k) = 0?
-1, 1
Let l(b) be the first derivative of -b**3/15 + 9*b**2/5 - 17*b/5 - 297. Find g, given that l(g) = 0.
1, 17
Let y = 3053/54 + -113/2. Let p(l) be the second derivative of -2*l + 0 + y*l**4 + 1/90*l**5 + 1/27*l**3 + 0*l**2. Let p(o) = 0. Calculate o.
-1, 0
Let b(d) = -d**2 - 12*d + 30. Let p be b(-14). Determine f, given that 4/9*f**3 + 0 - 1/9*f**4 + 0*f - 4/9*f**p = 0.
0, 2
Let a = -85474/17 + 5028. Find r such that 2/17*r**2 - a + 0*r = 0.
-1, 1
Let k(o) be the second derivative of -o**7/42 - o**6/30 + 7*o**5/20 + o**4/12 - o**3 - 11*o - 8. Solve k(r) = 0 for r.
-3, -1, 0, 1, 2
Suppose -3*q + 2*c = 0, 2*q + 6*c = 5*c - 7. Let l be (99/(-27) + 3)/(q - 1). Suppose 2/9 + 14/3*x**3 - 34/9*x**2 + 8*x**4 - l*x = 0. Calculate x.
-1, -1/4, 1/3
Let s(y) = 2*y**5 - 2*y**4 + 2*y**3 + 15*y**2 - 20*y + 10. Let l(k) = -k**5 - 2*k**4 - k**3 - k**2 - 2. Let d(w) = l(w) + s(w). Factor d(t).
(t - 2)**2*(t - 1)**2*(t + 2)
Let c = -19 + 21. Suppose c*o + 2*o - 8 = 0. Find k, given that -4/5*k**3 - 4/5*k**o + 4/5*k + 4/5 = 0.
-1, 1
Suppose 0 = -4*z + 10 - 2. Suppose z*w + 4 = 6*w. Let -w - 4*r + 5*r**3 + r**2 + 3*r**2 - r**3 - 3*r**2 = 0. Calculate r.
-1, -1/4, 1
Factor -w**2 + 5*w**2 + 1 + 10*w**3 + 11 - 12 + 2*w**5 + 8*w**4.
2*w**2*(w + 1)**2*(w + 2)
Factor 22/9*t + 2/9*t**2 + 20/9.
2*(t + 1)*(t + 10)/9
Let v(f) be the third derivative of -f**6/24 - 11*f**5/12 - 25*f**4/12 + 343*f**2. What is p in v(p) = 0?
-10, -1, 0
Factor 0*h - 3/5*h**5 + 3/5*h**2 + 0 - 3/5*h**4 + 3/5*h**3.
-3*h**2*(h - 1)*(h + 1)**2/5
Let c(p) = -100*p**2 - 45*p + 215. Let y(x) = -11*x**2 - 5*x + 27. Let k(w) = -1. Let u(z) = -3*k(z) - y(z). Let m(d) = -6*c(d) - 55*u(d). Solve m(v) = 0 for v.
-3, 2
Let d(t) = 3*t**2 + 2*t - 1. Suppose y = 5*k, 0 = 3*k - 2*y + 11 - 4. Let q be d(k). Factor 3*c - 7*c**3 + 3*c**2 + 2*c**3 - 3*c**q + 2*c**3.
-3*c*(c - 1)*(c + 1)**2
Suppose v - 14 = -3*v + 2*k, -5 = -v + k. Factor -q**2 + 8*q**v - 4 - 5*q**2 + 2*q.
2*(q - 1)*(q + 2)
Let t = 39 - 8. Let i = 36 - t. Factor -26*j**4 - 3*j**2 - i*j**2 + 22*j**4 - 12*j**3.
-4*j**2*(j + 1)*(j + 2)
Let y(v) be the first derivative of -2*v**7/105 - v**6/5 - 3*v**5/5 - 2*v**2 - 4. Let o(n) be the second derivative of y(n). Factor o(z).
-4*z**2*(z + 3)**2
Let i(d) be the third derivative of -d**5/60 + d**4/24 + 7*d**3 - 2*d**2 - 17*d. Suppose i(o) = 0. Calculate o.
-6, 7
Suppose 5*c - 13 = -4*u, -6*u = -4*c - 2*u + 32. Let -15*f + 187 - 101 - c*f**2 - 96 = 0. Calculate f.
-2, -1
Factor -14*h**4 - 15 - 18*h**3 + 17*h**4 + 297*h - 279*h + 12*h**2.
3*(h - 5)*(h - 1)**2*(h + 1)
Factor 0 - 33*i + 3/2*i**2.
3*i*(i - 22)/2
Let v be 3/((1/(-3))/(6/(-27))). Suppose 199*u - u**2 - 203*u + 0 + 2 + 3*u**v = 0. What is u?
1
Let r(u) = u**2 + u. Let b(q) = -14*q. Let m(k) = -2*b(k) - 2*r(k). Solve m(z) = 0.
0, 13
Let a be ((-1)/6)/((-104)/2496). Let m(r) be the second derivative of 0*r**2 + 1/10*r**3 + 6*r + 0 - 3/100*r**5 + 0*r**a. What is f in m(f) = 0?
-1, 0, 1
Let c(w) = -2*w**2 + 23*w + 40. Let p(k) = 3*k**2 - 35*k - 59. Let h(r) = 7*c(r) + 5*p(r). Factor h(b).
(b - 15)*(b + 1)
Let n(o) be the second derivative of 1/30*o**6 + 3/20*o**5 + 0*o**2 + 1/6*o**3 + 0 - 17*o + 1/4*o**4. Factor n(g).
g*(g + 1)**3
Let v(y) = -18*y**3 + 368*y**2 - 890*y - 26. Let a(i) = -2*i**3 + 41*i**2 - 99*i - 3. Let z(l) = -52*a(l) + 6*v(l). Factor z(o).
-4*o*(o - 16)*(o - 3)
Suppose -7*v = 3 - 59. Factor -20*c**2 + 8*c**3 + 6*c**3 + 4*c**4 + v*c - 4*c**5 - 2*c**3.
-4*c*(c - 1)**3*(c + 2)
Factor -58/3*j**2 - 1/3*j**3 - 841/3*j + 0.
-j*(j + 29)**2/3
Let c(t) be the third derivative of t**6/8 + 7*t**5/20 - 7*t**4/2 - 6*t**3 + 2*t**2 + 161*t. Let c(n) = 0. Calculate n.
-3, -2/5, 2
Suppose 4*a = -3*t - 4 + 10, 3*a - 4 = -2*t. Suppose -2*n - 3*s + 25 = a, 5*n - 4*s = -0*s + 28. Factor n + 1/2*q**2 - 4*q.
(q - 4)**2/2
Factor 14*n**3 - 16*n**3 + 58*n**4 - 16*n**4 + 25*n**2 - 5*n**5 + 47*n**3 - 27*n**4.
-5*n**2*(n - 5)*(n + 1)**2
Let k be 3730/350 + -8 - 12/14. Let n(m) be the first derivative of 3/4*m**4 + 14 - 3*m**2 - k*m**5 + 3*m**3 + 0*m + 1/2*m**6. Factor n(h).
3*h*(h - 2)*(h - 1)**2*(h + 1)
Let q(z) be the second derivative of z**8/336 - z**6/40 + z**5/30 + 5*z**2 + 24*z. Let i(l) be the first derivative of q(l). Determine c, given that i(c) = 0.
-2, 0, 1
Suppose 190 = 2*l - 2*i + 5*i, -2*l = i - 194. Let g = -94 + l. Factor 0*s + 4/7*s**3 - 6/7*s**g + 0 + 0*s**2.
-2*s**3*(3*s - 2)/7
Let y(q) be the third derivative of 9*q**2 - 3/5*q**3 + 1/40*q**4 - 1/600*q**6 + 0 + 1/75*q**5 + 0*q. Suppose y(t) = 0. What is t?
-2, 3
Suppose -14*w + 21*w = 14. Suppose -2 = -w*u, y - 2*y = -4*u - 1. Find g, given that -1/5*g - 2/5 - 1/5*g**y - 2/5*g**4 + 4/5*g**2 + 2/5*g**3 = 0.
-2, -1, 1
Let k(w) be the first derivative of -w**4/30 - 2*w**3/15 + 4*w**2/15 + 8*w/5 - 112. Factor k(c).
-2*(c - 2)*(c + 2)*(c + 3)/15
Let p(x) = 11*x**3 - 1. Let b(o) = 160*o**3 + 880*o**2 + 455*o + 35. Let g(m) = -b(m) - 25*p(m). Factor g(h).
-5*(h + 1)**2*(87*h + 2)
Let c(f) be the third derivative of -f**5/160 + 137*f**4/64 - 17*f**3/2 + 4*f**2 - 33. Factor c(y).
-3*(y - 136)*(y - 1)/8
Let l(s) = 2*s**4 - 12*s**3 + 50*s**2. Let f(i) = -i**3. Let g = -7 - -6. Let r(u) = g*l(u) - 8*f(u). Factor r(o).
-2*o**2*(o - 5)**2
Suppose 5*d - 4*d - 14 = 4*v, -2*d + 10 = -2*v. Let t(u) be the second derivative of -1/18*u**3 - 1/60*u**5 + 0 + 0*u**d - 4*u + 1/18*u**4. Factor t(k).
-k*(k - 1)**2/3
Let o(l) be the second derivative of -16*l + 1/4*l**4 - 5/2*l**3 + 0*l**2 + 0. Factor o(b).
3*b*(b - 5)
Let b(z) be the first derivative of -2*z**3/27 + z**2/3 + 696. Factor b(d).
-2*d*(d - 3)/9
Suppose 4*q + 3*n = 0, -5*n = 13*q - 10*q + 11. Let c(m) be the first derivative of -3*m**2 + 1/2*m**4 + 4/3*m**q + 2 + 0*m. Factor c(r).
2*r*(r - 1)*(r + 3)
Let l(h) be the first derivative of h**6/20 - 9*h**5/40 + h**3 - 28*h - 7. Let k(o) be the first derivative of l(o). Factor k(w).
3*w*(w - 2)**2*(w + 1)/2
Let s(p) be the second derivative of 5*p**3/6 + 25*p**2 + 7*p. Let t be s(-10). Factor -z**3 + 0*z**2 + 0*z - 1/4*z**5 - z**4 + t.
-z**3*(z + 2)**2/4
Suppose 11*n = -n + 60. Factor 3*y**3 + y**4 - 2*y**3 + n*y**2 + 4*y**3 - 2*y**2 - 9*y.
y*(y - 1)*(y + 3)**2
Let f(q) be the third derivative of 0 + 0*q**5 + 0*q**4 + 1/600*q**6 + 2*q**2 - 1/1050*q**7 + 0*q**3 + 29*q. Factor f(i).
-i**3*(i - 1)/5
Find n, given that -4/5*n**3 + 1/5*n**5 + 4/5*n**2 + 0 + 0*n - 1/5*n**4 = 0.
-2, 0, 1, 2
Suppose -7*u**2 + 42*u + 24 - 7*u**3 + 10*u**3 + 28*u**2 = 0. What is u?
-4, -2, -1
Let l be (4/6)/(1/3). Let w be ((-17)/102)/(1/(-18)). Suppose -10*p**3 + 13*p**w + 4*p**l - 7*p**2 = 0. What is p?
0, 1
Let n(p) = -7*p**4 + 33*p**3 - 104*p**2 + 93*p + 6. Let y(g) = -76*g**4 + 364*g**3 - 1144*g**2 + 1024*g + 64. Let c(w) = 32*n(w) - 3*y(w). Factor c(d).
4*d*(d - 4)*(d - 3)*(d - 2)
Let d(r) be the third derivative of -r**8/2352 + r**7/490 + r**6/210 - 4*r**5/105 + 8*r**3/21 + 198*r**2. Factor d(c).
-(c - 2)**3*(c + 1)*(c + 2)/7
Let h(r) be the first derivative of r**5/20 - 147*r**4/16 + 2401*r**3/4 - 117649*r**2/8 - 334. Factor h(j).
j*(j - 49)**3/4
Let v(a) be the first derivative of -2*a + 3 - 2/5*a**5 + 4/3*a**3 + 0*a**4 + 0*a**2. Factor v(w).
-2*(w - 1)**2*(w + 1)**2
Let p(g) be the third derivative of 1/12*g**6 + 0*g + g**3 + 11/12*g**4 + 2/315*g**7 + 0 - 21*g**2 + 37/90*g**5. Determine l so that p(l) = 0.
-3, -1, -1/2
Let m(k) be the second derivative of 3/8*k**2 - 4*k + 0*k**4 - 3/160*k**5 + 0 + 3/16*k**3. Factor m(q).
-3*(q - 2)*(q + 1)**2/8
Let n(h) be the second derivative of h**5/15 - h**4 + 6*h**3 + 3*h**2 - 29*h. Let z(u) be the first derivative of n(u). Factor z(o).
4*(o - 3)**2
Let h(m) be the second derivative of m**7/294 - 53*m**6/210 + 135*m**5/28 + 243*m**4/28 + 407*m. Factor h