ond derivative of 121*o**6/90 - 22*o**5/15 + 2*o**4/3 - 11*o**3/3 + 12*o. Let w(l) be the second derivative of h(l). Factor w(s).
4*(11*s - 2)**2
Let l(c) be the second derivative of -c**8/17920 + c**6/1920 - 5*c**4/12 - c. Let w(z) be the third derivative of l(z). Factor w(t).
-3*t*(t - 1)*(t + 1)/8
Let h = 3 + -9. Let f(c) = c**3 + 5*c**2 - 6*c + 2. Let q be f(h). Factor 2*v**2 - v**4 + v**5 + 3*v - 4*v + 3*v**4 - 4*v**q.
v*(v - 1)*(v + 1)**3
Let p = 23 - 13. Let x = 13 - p. Factor -5*w**3 + 2*w**4 + 4*w**x - 6*w**3 + 2*w**2 + 3*w**3.
2*w**2*(w - 1)**2
Let o(r) = -9*r**2 - 7*r. Let i(v) = 22*v**2 + 18*v. Let x(q) = -q**2 + 9*q + 22. Let z be x(10). Let s(w) = z*o(w) + 5*i(w). Factor s(k).
2*k*(k + 3)
Let c(n) be the first derivative of -2*n**6/15 + 36*n**5/25 - 3*n**4 + 28*n**3/15 + 26. Factor c(z).
-4*z**2*(z - 7)*(z - 1)**2/5
Let x(h) be the second derivative of 0*h**2 + 0 + h**3 + 1/14*h**7 - 21*h + 27/20*h**5 + 1/2*h**6 + 7/4*h**4. Solve x(r) = 0 for r.
-2, -1, 0
Let h(d) be the third derivative of 0 - 11/30*d**5 + 0*d + 3*d**3 + d**2 + 2/105*d**7 + 1/30*d**6 - 1/8*d**4 - 1/336*d**8. Find o such that h(o) = 0.
-2, -1, 1, 3
Let l be -4 + (-7 - 1098/(-99)). Solve -2/11*p - 1/11*p**2 + 2/11*p**3 + 0 + l*p**4 = 0.
-2, -1, 0, 1
Factor 46*v**3 - 22*v**3 + 32*v**4 - 126*v**2 - 34*v**2 + 127*v - 27*v + 4*v**5.
4*v*(v - 1)**2*(v + 5)**2
Let l(p) be the third derivative of -p**7/840 - 7*p**6/160 - 17*p**5/40 - 47*p**4/24 - 5*p**3 + 4*p**2 + 23*p. Factor l(a).
-(a + 2)**3*(a + 15)/4
Let m(i) be the first derivative of i**3 + 3*i**3 - i**4 + 4 + 0*i**4 + 2*i**4. Factor m(c).
4*c**2*(c + 3)
Suppose 52 = 517*g - 491*g. Factor 8/3*f**4 + 2*f**3 + 0*f + 10/9*f**5 + 4/9*f**g + 0.
2*f**2*(f + 1)**2*(5*f + 2)/9
Let p(z) be the second derivative of z**5/50 + 41*z**4/5 + 6724*z**3/5 + 551368*z**2/5 - z + 50. Determine w so that p(w) = 0.
-82
Suppose 25 + 10 = 7*n. Factor -10*b + b**n + 135*b**3 + 25*b**2 + 50*b**5 + 155*b**4 + 4*b**5.
5*b*(b + 1)**3*(11*b - 2)
Factor 0*v - 6/5*v**3 + 0 - 18/5*v**2 - 1/10*v**4.
-v**2*(v + 6)**2/10
Let j be -5*((-286)/55)/(-13) - -10. What is b in j*b + 48 + 1/3*b**2 = 0?
-12
Let y(q) be the third derivative of -1/300*q**5 + 0 - 1/600*q**6 + 1/1050*q**7 + 0*q + 0*q**3 - 5*q**2 + 1/120*q**4. Factor y(l).
l*(l - 1)**2*(l + 1)/5
Let t(f) be the second derivative of f**4/24 + 49*f**3/6 + 2401*f**2/4 - 154*f. Factor t(x).
(x + 49)**2/2
Let z = -17 - -31. Let l = -9 + z. Solve -2*t**3 + 2 - 3*t + 4*t - l*t**2 + 7*t**3 - 3*t**2 = 0.
-2/5, 1
Let b(c) be the third derivative of -c**6/300 + 4*c**5/75 + c**4/3 + 20*c**2 - 3*c. Find i such that b(i) = 0.
-2, 0, 10
Suppose -66/5*x - 2/5*x**2 + 0 = 0. Calculate x.
-33, 0
Let m(k) be the third derivative of -1/3*k**4 + 11*k**2 + 8/3*k**3 + 4/105*k**7 + 0*k + 0 + 1/60*k**6 - 1/3*k**5 + 1/168*k**8. Find v such that m(v) = 0.
-2, 1
Factor 3 + 0*s**2 - 3/2*s**3 + 9/2*s.
-3*(s - 2)*(s + 1)**2/2
Let d(a) be the first derivative of 2*a**5 + 3 + 0*a + 1/2*a**2 + 3*a**4 + 1/2*a**6 + 2*a**3. Factor d(x).
x*(x + 1)**3*(3*x + 1)
Suppose 177*r**4 - 42*r + 9*r**2 - 180*r**4 + 24 - 5*r**3 + 17*r**3 = 0. Calculate r.
-2, 1, 4
Let q be ((-6)/(-5))/(-3)*-5. Find k, given that -5*k**5 + 4*k + 0*k**5 + 5*k - 4*k + 10*k**4 - 10*k**q = 0.
-1, 0, 1
Let y(f) = 2*f**2 + 281*f + 1101. Let i be y(-4). Factor -27/5 - 21/5*q**2 - 3/5*q**3 - i*q.
-3*(q + 1)*(q + 3)**2/5
Let -6/7*b**3 + 96/7*b - 6/7*b**2 + 96/7 = 0. What is b?
-4, -1, 4
Let r(s) be the second derivative of -s**8/336 + s**7/210 + s**6/120 - s**5/60 - 37*s**2/2 + 5*s. Let j(h) be the first derivative of r(h). Factor j(v).
-v**2*(v - 1)**2*(v + 1)
Find s, given that 507/5*s**2 - 78/5*s**3 + 0 + 3/5*s**4 + 0*s = 0.
0, 13
Let d(m) be the second derivative of -m**5/50 - 3*m**4/5 + m**3/15 + 18*m**2/5 - 6*m - 20. Suppose d(g) = 0. What is g?
-18, -1, 1
Let v(j) be the third derivative of j**8/840 + j**7/75 + 11*j**6/300 + j**5/30 + 294*j**2. Factor v(s).
2*s**2*(s + 1)**2*(s + 5)/5
Let i be (5 + 33/(-6))*-6. Factor -2 - 3*u**2 + 7*u**i - 32*u + 25*u + u**3 + 4*u**4.
(u - 1)*(u + 2)*(2*u + 1)**2
Let p = 11413 + -11410. Factor 4/5*x**p + 0*x + 0*x**2 + 1/5*x**5 + 0 + x**4.
x**3*(x + 1)*(x + 4)/5
Suppose 5*j + 4 - 5 = 3*b, -22 = -4*b + 2*j. Suppose g = -3*g + b. Factor 1/5*o**g - 1/5 - 2/5*o + 2/5*o**3.
(o - 1)*(o + 1)*(2*o + 1)/5
Let t(u) be the first derivative of -u**4/2 + 2*u**3/3 + 16*u**2 - 32*u + 74. What is p in t(p) = 0?
-4, 1, 4
Suppose 4*u = 13 + 7, 4*c + 13 = 5*u. Factor 1/5*x + 1/5*x**5 - 2/5*x**c - 1/5*x**4 - 1/5 + 2/5*x**2.
(x - 1)**3*(x + 1)**2/5
Let j = -15 + 20. Factor 2*z - 2*z - j*z**2 - 5*z.
-5*z*(z + 1)
What is v in 36*v**2 + 16 - 9 - 3*v**3 - 7 = 0?
0, 12
Let i(b) be the first derivative of 15 - 1/15*b**3 + 2/5*b**2 - 4/5*b. Factor i(z).
-(z - 2)**2/5
Suppose -39*h = -43*h + 4. Let d be h/(-4) + (35/(-4) - -9). Factor d + 6/5*x**2 - 9/5*x**4 - 3/5*x**3 + 0*x.
-3*x**2*(x + 1)*(3*x - 2)/5
Let x(i) be the first derivative of i**3/4 + 27*i**2/8 + 21*i/2 + 558. Factor x(b).
3*(b + 2)*(b + 7)/4
Let l(n) = -10*n**2 - 232*n + 369. Let o(q) = 5*q**2 + 112*q - 184. Let z(i) = 4*l(i) + 9*o(i). Find a such that z(a) = 0.
-18, 2
Suppose -2*s + 7 + 1 = 3*c, 0 = 5*s - 20. Factor 0*u**2 + 2/3*u**4 + 0 - 2/3*u**3 + c*u.
2*u**3*(u - 1)/3
Let k be 1800/81 - 0*8/(-24). Factor -40/9*w + k + 2/9*w**2.
2*(w - 10)**2/9
Let j = -3249 + 3249. Factor 0*u**2 + 4/3*u**4 + 0*u + j - 4/3*u**5 + 0*u**3.
-4*u**4*(u - 1)/3
Let i(u) be the first derivative of 0*u - 1/25*u**5 + 2/5*u**4 - 27 + 0*u**2 - 16/15*u**3. Factor i(x).
-x**2*(x - 4)**2/5
Let o(y) be the third derivative of -y**6/540 - y**5/90 + y**4/18 + 8*y**3/27 - 569*y**2. Factor o(s).
-2*(s - 2)*(s + 1)*(s + 4)/9
Let k be (-105)/(-35) - 1*-9. Let f(p) be the first derivative of -1/9*p**3 + k + 1/3*p**2 + p. Determine s, given that f(s) = 0.
-1, 3
Suppose 5 - 1 = 2*t. Let y(l) be the first derivative of t + 1/9*l**3 - 1/3*l + 0*l**2. Solve y(j) = 0 for j.
-1, 1
Suppose -36 - 60 = -32*z. Let s(p) be the first derivative of 1 + 2/45*p**z - 8/15*p**2 + 32/15*p. Factor s(j).
2*(j - 4)**2/15
Let z(r) be the first derivative of r**3/15 - 21*r**2/10 - 267. Let z(q) = 0. What is q?
0, 21
Let b(u) be the second derivative of 5*u**4/24 - 10*u**3 + 315*u**2/4 - 611*u. Let b(m) = 0. Calculate m.
3, 21
Suppose 9*o - 206 = -179. Let k(d) be the first derivative of -1/10*d**2 + 1 + 0*d - 2/15*d**o + 0*d**4 + 1/30*d**6 + 2/25*d**5. Let k(p) = 0. Calculate p.
-1, 0, 1
Let t be (-10)/280*-707 - 13. Solve -4 - t*z**4 + 42*z**3 - 24*z - 22*z**2 = 0 for z.
-2/7, 2
Solve -2646 + 2646 + d**4 - 28*d**3 + 13*d**5 - 12*d**2 + 27*d**4 - d**5 = 0 for d.
-3, -1/3, 0, 1
Let s be (13 - 14)*(-9)/1620. Let q(n) be the third derivative of -1/36*n**4 + 0 - 1/18*n**3 - 11*n**2 - s*n**5 + 0*n. Factor q(h).
-(h + 1)**2/3
Let k be 108/(-3)*(-2)/21*7. Let f + 61*f - 38*f**2 - 45*f**3 - 14*f + 14*f**2 + k*f**4 - 3*f**5 = 0. What is f?
-1, 0, 1, 4
Let p = -5239/9 + 583. Let m = -6427/9 + 715. Factor -p*z + 2/9*z**3 + 2/9*z**2 - m.
2*(z - 2)*(z + 1)*(z + 2)/9
Let i(w) be the first derivative of -w**4/8 + 2*w**3/3 + 35*w**2/4 - 75*w - 259. Let i(p) = 0. What is p?
-6, 5
Factor -6*z**3 - 7*z**2 + 5*z**2 - 4*z + 6*z + 2*z.
-2*z*(z + 1)*(3*z - 2)
Find m, given that 22/3*m - 10/3*m**4 + 34/3*m**3 - 14*m**2 - 4/3 = 0.
2/5, 1
Let q = 181 - 176. Let k be (-2)/(-8) + 3 + q/(-20). Factor 8/13 + 2/13*n**k + 0*n - 6/13*n**2.
2*(n - 2)**2*(n + 1)/13
Let a(g) be the first derivative of -g**4/44 - 3*g**3/11 - 12*g**2/11 - 16*g/11 - 668. Factor a(v).
-(v + 1)*(v + 4)**2/11
Let z(w) be the first derivative of 10 + 0*w + 1/60*w**5 + 0*w**3 + 0*w**4 + 5*w**2. Let l(u) be the second derivative of z(u). Factor l(g).
g**2
Let k(p) = -4 - 6*p - 27 - 20 - 45. Let w be k(-16). Find o such that 1/5*o**2 - 1/5 + w*o = 0.
-1, 1
Let r(g) be the first derivative of 7*g**4 + 260*g**3/3 + 36*g**2 + 194. Factor r(b).
4*b*(b + 9)*(7*b + 2)
Let k = 165 - 165. Let j(o) be the second derivative of k*o**3 - 5*o + 0*o**2 + 1/150*o**6 + 1/210*o**7 + 0*o**4 + 0 - 1/50*o**5. Let j(l) = 0. What is l?
-2, 0, 1
Let h(q) be the second derivative of q**5/10 + 29*q**4/24 - 65*q**3/12 - 9*q**2/2 + q + 1. Factor h(c).
(c - 2)*(c + 9)*(4*c + 1)/2
Let v be (-145)/7 + 2/(-7). Let t = v - -23. Factor 7*c + 