tive of o(a). Factor h(u).
3*u*(u - 3)
Let z be (0 - -4) + (-30198)/3780 + 4. Let s(w) be the third derivative of -z*w**5 - 1/12*w**4 + 0 - 2/9*w**3 - 6*w**2 + 0*w. Factor s(x).
-2*(x + 1)*(x + 2)/3
Let o(l) be the second derivative of -l**8/15680 - l**7/5880 + l**4/2 + 10*l. Let z(u) be the third derivative of o(u). Factor z(p).
-3*p**2*(p + 1)/7
Let t(j) be the first derivative of -j**4/28 - 5*j**3/21 - 16. Factor t(q).
-q**2*(q + 5)/7
Let z(g) be the second derivative of 2*g**4 - 62*g**3/3 + 10*g**2 - 20*g + 3. Factor z(t).
4*(t - 5)*(6*t - 1)
Let h = -37 + 45. What is i in 126*i**3 - 2 + 11*i**2 - h*i**4 - 6*i - 120*i**3 - i**2 = 0?
-1, -1/4, 1
Let n(o) be the first derivative of o**4/12 - 2*o**3/3 - 2*o**2/3 + 8*o + 66. Factor n(z).
(z - 6)*(z - 2)*(z + 2)/3
Let x(u) be the first derivative of 26*u**5/5 - 27*u**4/4 - 25*u**3/3 + 27*u**2/2 - u - 74. Factor x(i).
(i - 1)**2*(i + 1)*(26*i - 1)
Let q be 8*(-1)/4 - (-4 + -1). Let f(r) be the second derivative of -5/12*r**q + 1/4*r**2 + 1/8*r**4 + 9/40*r**5 + 0 + r. Factor f(x).
(x + 1)*(3*x - 1)**2/2
Factor 16/5*s**4 + 5*s - 88/5*s**3 + 34*s**2 - 1/5*s**5 - 50.
-(s - 5)**3*(s - 2)*(s + 1)/5
Let z(l) be the third derivative of l**5/390 - 11*l**4/78 + 3*l**3 + 131*l**2. Factor z(n).
2*(n - 13)*(n - 9)/13
Let g = -1538/4123 + 1/217. Let w = g + 220/133. Let -w*l - 3/7*l**2 + 0 = 0. Calculate l.
-3, 0
Let i = -2492 + 2492. Factor 0 - 2/3*s**2 + i*s.
-2*s**2/3
Let p = 13 - 5. Let d = p + -5. Factor -d + 2*q**2 - 44*q - 3 + 48*q.
2*(q - 1)*(q + 3)
Let y(i) be the third derivative of -i**11/1663200 + i**9/151200 - i**7/25200 + i**5/12 + 34*i**2. Let q(m) be the third derivative of y(m). Factor q(v).
-v*(v - 1)**2*(v + 1)**2/5
Let c = 228 + -228. Let n(z) be the second derivative of c*z**3 - 1/3*z**4 + 7*z + 8*z**2 + 0. Solve n(u) = 0 for u.
-2, 2
Let 232*n**3 + 0 + 20/3*n + 238/3*n**2 - 24*n**4 = 0. Calculate n.
-1/6, 0, 10
Factor -2/7*s**2 - 87362/7 + 836/7*s.
-2*(s - 209)**2/7
Determine g, given that -2/5*g**2 - 28/5*g**3 + 2/5*g**4 + 0 + 28/5*g = 0.
-1, 0, 1, 14
Solve 23*m + 84 - 2*m - 84 + 3*m**2 = 0 for m.
-7, 0
Let z be (19 - 1)/(-3) + 3. Let v be (1*z)/((-9)/12). Factor 0 - v*y**2 + 4*y**2 + 2*y**3 + 3*y**2 - 1.
(y + 1)**2*(2*y - 1)
Let f(j) = -4*j**2 - 288*j + 262. Let h(o) = 2*o**2 + 146*o - 130. Let t(l) = 3*f(l) + 5*h(l). Find r, given that t(r) = 0.
-68, 1
Let w(t) be the second derivative of -t**5/10 + 2*t**4/3 - 5*t**3/3 + 2*t**2 + 2*t - 9. Find b such that w(b) = 0.
1, 2
Let v(q) be the first derivative of 0*q**2 + 1/150*q**6 + 1/100*q**5 - 1/60*q**4 - 1 - 1/30*q**3 + 3*q. Let s(i) be the first derivative of v(i). Factor s(m).
m*(m - 1)*(m + 1)**2/5
Let w(j) be the second derivative of -13/27*j**3 - 4/9*j**2 + 7*j + 0 - 7/90*j**5 - 1/135*j**6 - 5/18*j**4. Factor w(n).
-2*(n + 1)**3*(n + 4)/9
Suppose 5*w - 3*v + 38 = 0, 2*v - 3*v = 4*w + 27. Let u be (-12)/39*(w + 1). Factor -2/13*y**5 - u*y**2 - 18/13*y + 4/13*y**3 + 0 + 8/13*y**4.
-2*y*(y - 3)**2*(y + 1)**2/13
Let m be (5/(-2) + 2)*(-14)/42. Let x(u) be the second derivative of 0 + 1/30*u**6 + 1/20*u**5 + 0*u**2 - 2*u - m*u**3 - 1/12*u**4. Factor x(y).
y*(y - 1)*(y + 1)**2
Let u be (-4)/(-30) - 10/225*-87. Suppose -3*m = -3*m - u*m. Let m + 5/3*w**4 + 3*w**3 - 2/3*w - 5/3*w**2 - 7/3*w**5 = 0. What is w?
-1, -2/7, 0, 1
Suppose -3*z + 0*z + 36 = j, -37 = -j - 2*z. Factor -75*y + 43*y**3 - 23 + 68 + j*y**2 - 4*y**2 - 48*y**3.
-5*(y - 3)**2*(y - 1)
Let p(n) be the first derivative of 5*n**3/3 + 145*n**2/2 + 140*n - 229. Suppose p(m) = 0. Calculate m.
-28, -1
Let a be ((-11)/(-22))/((-25)/(-30)). Factor -a*w + 6/5 - 3/5*w**2.
-3*(w - 1)*(w + 2)/5
Let q = -3612 + 14473/4. Suppose -q*w - 15/4*w**2 - 5/2 + 5/4*w**4 + 5/4*w**3 = 0. What is w?
-1, 2
Suppose 10*j + 8*j - 54 = 0. Let z(o) be the first derivative of 6/5*o - 3/5*o**j - 9/10*o**2 + 3/10*o**4 + 5. Factor z(h).
3*(h - 2)*(h + 1)*(2*h - 1)/5
Let c be (-20)/80*(3 + -2 + -5) + 2. Factor 8/5*z**c - 8/5*z**2 - 2/5*z**4 + 0*z + 0.
-2*z**2*(z - 2)**2/5
Let j be (-1)/4*(-264)/110. Let r(b) be the second derivative of -3*b - 1/3*b**7 + 0*b**3 + 0*b**2 - 1/5*b**5 + 0 + j*b**6 + 0*b**4. Factor r(w).
-2*w**3*(w - 1)*(7*w - 2)
Let p(t) be the third derivative of t**6/480 + t**5/10 + 3*t**4/2 - 262*t**2. Factor p(a).
a*(a + 12)**2/4
Let v(b) be the second derivative of 2*b**7/21 - 8*b**6/15 + 16*b**4/3 - 32*b**3/3 - 3*b + 88. Suppose v(c) = 0. Calculate c.
-2, 0, 2
Let h be -42 + (6 - 10) + -2. Let d be (-1)/(-3) + (-344)/h. Let 0 + d*u**2 + 3*u = 0. Calculate u.
-2/5, 0
Let m(d) be the third derivative of -d**5/90 + d**4/27 - d**2 - 7*d. Factor m(i).
-2*i*(3*i - 4)/9
Let k(m) be the third derivative of -m**7/70 - 3*m**6/20 - 3*m**5/5 - m**4 + 2*m**2 - 16. Factor k(w).
-3*w*(w + 2)**3
Let f(l) = 4*l + 6. Let t be f(-5). Let a be 8/(-198) + t/(-63). Factor 0*n + 0 + a*n**2.
2*n**2/11
Let x(u) be the third derivative of -u**5/180 + 77*u**4/12 - 5929*u**3/2 + 3*u**2 - 23. What is l in x(l) = 0?
231
Let o(s) be the second derivative of -s**7/1400 + s**5/200 + 25*s**3/6 - s. Let b(v) be the second derivative of o(v). Factor b(p).
-3*p*(p - 1)*(p + 1)/5
Suppose 22*i - 23*i + 3*v = 4, i = v. Find o, given that -2/3*o**i + 4/3*o + 0 = 0.
0, 2
Let a = 2518 - 2518. Factor 5*j**3 - 5/2*j**4 + a*j - 5/2*j**2 + 0.
-5*j**2*(j - 1)**2/2
Let d(b) be the second derivative of 7*b**6/6 + 10*b**5 + 85*b**4/4 - 15*b**3 + 26*b. Factor d(h).
5*h*(h + 3)**2*(7*h - 2)
Suppose t + 3*s - 18 = 7*s, -t - 4*s - 6 = 0. Let r = t + -3. Determine g so that -3*g**3 - r*g**4 + g**3 + 2*g**4 = 0.
-2, 0
Let z = 10 - -2. Let w be -1 + 3*((-8)/z)/(-2). Factor g + 25/4*g**3 + w + 5*g**2.
g*(5*g + 2)**2/4
Let -80 + 136*v - 3/2*v**3 - 23*v**2 = 0. What is v?
-20, 2/3, 4
Let j = -57/5 - -119/10. Let c(y) be the first derivative of -2/3*y**3 + 0*y + 2*y**2 - 1 - j*y**4. Find l, given that c(l) = 0.
-2, 0, 1
Solve 8/11*p**2 - 14/11 - 54/11*p = 0.
-1/4, 7
Suppose -5*p - 5*r + 100 = -10*r, 0 = -4*p - 3*r + 108. Suppose y = -3*d + 2, -2*d - 4*y = -9*y - p. Factor 0*x**2 + 2*x + d*x**2 - 3*x**2 + 3*x**2.
2*x*(x + 1)
Suppose -20 + 52/15*d**3 - 144/5*d**2 + 134/3*d + 4/5*d**4 - 2/15*d**5 = 0. Calculate d.
-6, 1, 5
Factor 180 + 5*f**3 + 65*f**2 - 324*f - 450*f + 974*f.
5*(f + 2)**2*(f + 9)
Let o(d) = d**3 - 5*d**2 + 4*d - 3. Let a be o(5). Suppose w = a + 28. Let -45 + n**2 + w = 0. Calculate n.
0
Let n(l) be the first derivative of 3*l**4/2 - 976*l**3/3 + 20007*l**2 - 26244*l + 101. Factor n(c).
2*(c - 81)**2*(3*c - 2)
Let s(g) be the first derivative of -3*g**4/32 - 111*g**3/8 - 12321*g**2/16 - 151959*g/8 - 66. Factor s(o).
-3*(o + 37)**3/8
Let a(j) be the second derivative of j**8/336 - j**7/84 + 13*j**3/6 - 7*j. Let c(v) be the second derivative of a(v). Find t such that c(t) = 0.
0, 2
Let t(d) be the third derivative of -d**6/360 - d**5/15 - 7*d**4/24 + 49*d**3/9 + 3*d**2 - 6. Factor t(n).
-(n - 2)*(n + 7)**2/3
Let d(h) be the third derivative of 4*h**7/105 + h**6/5 + 13*h**5/30 + h**4/2 + h**3/3 + 54*h**2. Factor d(y).
2*(y + 1)**2*(2*y + 1)**2
Let m be -18 + 5 - (-2)/(-2). Let z be m/4*8/(-14). Factor 54*s - 54*s - 4*s**z + 2 + 2*s**4.
2*(s - 1)**2*(s + 1)**2
Factor -173111*s - 5*s**3 + 1495651 + 7736*s + 4292474 + 1575*s**2.
-5*(s - 105)**3
Suppose 2*g + 5*u + 17 = 1, -3*g + 3*u = -18. Suppose -2*p + 4*f = -26, -4*f = -5*p + 118 - 83. Factor 8/5*k**p - 4/5*k**4 - 8/5*k + 0 + 4/5*k**g.
-4*k*(k - 2)*(k - 1)*(k + 1)/5
Let h(u) = -u**3 - 2*u**2 - u - 1. Let k(b) = 16*b**3 + 112*b**2 + 18*b + 18. Let v(p) = -36*h(p) - 2*k(p). Let v(i) = 0. Calculate i.
0, 38
Let f = -3610 + 3612. Factor 4/3*q**3 + 500/3 + 20*q**f + 100*q.
4*(q + 5)**3/3
Let h(c) be the first derivative of -4*c**5/5 + 10*c**4 - 112*c**3/3 + 12*c**2 + 180*c - 118. Factor h(k).
-4*(k - 5)*(k - 3)**2*(k + 1)
Let n = 383/59 + 1/118. Let v(u) be the first derivative of -n*u**2 - 7/2*u**4 + 25/3*u**3 + 8 + 2*u. Factor v(j).
-(j - 1)*(2*j - 1)*(7*j - 2)
Let d(s) be the third derivative of -s**9/432 + s**8/672 + s**7/72 - s**6/72 + 7*s**4/12 + 4*s**2. Let k(n) be the second derivative of d(n). Factor k(h).
-5*h*(h - 1)*(h + 1)*(7*h - 2)
Let m = -193 - -282. Let q = m + -86. Suppose -2*p**2 - 3/2*p + p**4 + q*p**3 + 1 - 3/2*p**5 = 0. What is p?
-1, 2/3, 1
Let g = 1541/2 - 744. Let 91/