**2 + 4/21*f**3 - 4/7*f - 2/21*f**4 + 0 = 0. Calculate f.
-2, 0, 1, 3
Let l(h) be the third derivative of 0 + 5/36*h**4 + 8*h**2 + 25/18*h**3 + 0*h + 1/180*h**5. Factor l(n).
(n + 5)**2/3
Let s(a) = a**2 + 5*a + 2. Let x = -176 + 171. Let o be s(x). Factor 0 + 8/5*r**o + 1/5*r + 16/5*r**3.
r*(4*r + 1)**2/5
Let v(w) be the third derivative of -w**9/272160 + w**8/90720 + w**5/30 - 7*w**2. Let x(b) be the third derivative of v(b). What is q in x(q) = 0?
0, 1
Suppose v + 6 = 2*v + 3*s, 4*v + 5*s - 31 = 0. Let p be (40/15)/(6/v). Find l, given that 20*l - 13*l**2 - 4*l**3 + 32 + 5*l**2 - p*l = 0.
-2, 2
Let s(v) = -5*v**3 - 10*v**2 + 4*v + 8. Let m(u) = 6*u**3 + 12*u**2 - 5*u - 10. Let j(d) = 4*m(d) + 5*s(d). What is l in j(l) = 0?
-2, 0
Let b(z) = -z**2 + 7*z + 2. Let v be b(6). Let u be 30/v + (-3)/(-12). Let -218 + 3*n**u - 2*n - 3*n**2 + 2*n**3 + 218 = 0. Calculate n.
-1, -2/3, 0, 1
Let b(g) be the second derivative of 6/5*g**4 + 144/5*g**3 + 1/50*g**5 - 14*g + 1728/5*g**2 + 0. Find l such that b(l) = 0.
-12
Let l(a) = -a**2 + 3. Let u(i) = 4*i**2 - 20*i + 16. Let g(n) = 8*l(n) - u(n). What is p in g(p) = 0?
-1/3, 2
Let z(l) be the third derivative of l**7/315 - 11*l**6/180 + 16*l**5/45 - 7*l**4/9 - 81*l**2. Factor z(u).
2*u*(u - 7)*(u - 2)**2/3
Let s(v) be the third derivative of -v**6/300 - 19*v**5/300 - v**4/15 + 3*v**3/10 + 259*v**2. Factor s(o).
-(o + 1)*(o + 9)*(2*o - 1)/5
Let o(g) = -55*g**5 - 55*g**4 - 45*g**3 - 45*g**2 + 45*g - 45. Let x(q) = 5*q**5 + 5*q**4 + 4*q**3 + 4*q**2 - 4*q + 4. Let l(j) = 4*o(j) + 45*x(j). Factor l(y).
5*y**4*(y + 1)
Let j(k) = 3*k**3 + 16*k**2 - 257*k - 1468. Let s be j(-6). Let 1/2*b**4 + 5/2*b**2 - b + 0 - s*b**3 = 0. Calculate b.
0, 1, 2
Let v be 3 + (-18)/5 + 2064/(-10). Let f be (11 + v/18)*4/(-1). Let -1/10 + 1/10*m**f + 1/10*m - 1/10*m**3 = 0. Calculate m.
-1, 1
Let g(b) be the third derivative of -b**5/48 - 15*b**4/16 + 95*b**3/24 - b**2 - 64*b. Factor g(o).
-5*(o - 1)*(o + 19)/4
Suppose -57*p + 63 = -56 + 119. Factor -1/5*x**2 + 1/5*x + p.
-x*(x - 1)/5
Let w = 239 - 242. Let k be (-2*w/(-4))/(30/(-80)). Factor 0 - 2/3*j - j**2 + 2/3*j**k + j**3.
j*(j - 1)*(j + 2)*(2*j + 1)/3
Let s(o) be the third derivative of -o**8/224 - 9*o**7/140 - 3*o**6/16 + 5*o**5/8 - 536*o**2. Solve s(p) = 0 for p.
-5, 0, 1
Let a(c) be the first derivative of -c**6/30 + c**5/80 + c**4/12 - c**3/24 + 19*c - 11. Let j(t) be the first derivative of a(t). Factor j(g).
-g*(g - 1)*(g + 1)*(4*g - 1)/4
Let z(j) be the first derivative of -j**5/4 - 5*j**4/3 - 25*j**3/6 - 5*j**2 - 4*j - 13. Let o(l) be the first derivative of z(l). Solve o(n) = 0 for n.
-2, -1
Solve 5*v**4 + 0*v + 20*v**2 - 687 + 0*v + 25*v**3 + 687 = 0 for v.
-4, -1, 0
Let x(v) be the first derivative of -v**4/2 + 34*v**3/3 - 96*v**2 + 360*v - 154. Determine w, given that x(w) = 0.
5, 6
Let l be (0 + 1 - 1)/1. Let c(w) be the third derivative of 3/32*w**4 + 0 + 1/48*w**5 + 1/6*w**3 + l*w - 4*w**2. Solve c(x) = 0 for x.
-1, -4/5
Factor 400 + 4865*b**2 + 245/4*b**3 - 2795*b.
5*(b + 80)*(7*b - 2)**2/4
Let g = -356 + 1783/5. Let a(s) be the first derivative of 0*s + 0*s**3 - 3/2*s**4 - g*s**5 + 1 + 0*s**2. Factor a(t).
-3*t**3*(t + 2)
Let h(u) = 11*u**3 - 5*u**3 - 5*u**2 + u**3 + 6*u**2. Let l(b) = -15*b**3 - b**2. Let g(d) = 7*h(d) + 3*l(d). Suppose g(v) = 0. Calculate v.
-1, 0
Let y(c) be the second derivative of -25*c**7/36 - 8*c**6/9 + 137*c**5/120 + 31*c**4/36 - 13*c**3/9 + 2*c**2/3 - 14*c - 6. Let y(t) = 0. What is t?
-1, 2/7, 2/5
Let b = 47 + -44. Suppose 4*g + 13 = d, -4*d + 4*g + 12 = -4. Factor -1/3*c**b + 5/3*c - d - 1/3*c**2.
-(c - 1)**2*(c + 3)/3
Determine h so that 0*h**5 - 2*h**5 - 6*h**4 + 8*h**4 - 675*h**3 - 575*h**3 - 102*h**4 = 0.
-25, 0
Let q(f) = -7*f**3 + 27*f**2 + 153*f + 9. Let p(w) = -w**3 - w**2 - w + 1. Let a(t) = 18*p(t) - 2*q(t). Factor a(j).
-4*j*(j + 9)**2
Let k(j) = -j**2 + j. Let x = 46 + -44. Let l(s) = -s**2. Let n(d) = x*k(d) - 3*l(d). Let n(f) = 0. Calculate f.
-2, 0
Factor 24/5 - 44/5*d + 24/5*d**2 - 4/5*d**3.
-4*(d - 3)*(d - 2)*(d - 1)/5
Suppose -5*k + k = -3*h + 14, 2*h + 24 = -4*k. Let t be (1*8/(-6 - -4))/h. Factor 4/3*x**t - 4/3*x - 8/3.
4*(x - 2)*(x + 1)/3
Suppose -98 = -5*b - n, 2*n + 1 - 26 = -b. Let h = b - 19. Solve 22*w**3 + h*w**2 + 3*w**2 - 19*w**2 + 20*w - 8 - 18*w**3 = 0 for w.
1, 2
Let p(q) = q**2 - 15*q + 17. Let j be p(10). Let l be (-1)/3 + (-11)/j. Factor -3/7*d**4 + l*d + 0*d**2 + 0 + 2/7*d**3 + 1/7*d**5.
d**3*(d - 2)*(d - 1)/7
Let w(p) be the third derivative of 1/96*p**4 + 0*p**3 + 0*p - 3/160*p**5 - 9*p**2 + 0 + 1/240*p**6. Factor w(i).
i*(i - 2)*(4*i - 1)/8
Let l(x) be the third derivative of -9*x**5/140 + 17*x**4/8 - 13*x**3/7 + 72*x**2 + 2. Find s such that l(s) = 0.
2/9, 13
Let f(l) be the third derivative of l**7/525 + l**6/150 - 7*l**5/150 + l**4/15 - 12*l**2 + 11. Suppose f(c) = 0. Calculate c.
-4, 0, 1
Let k(h) be the second derivative of -2197*h**7/231 - 338*h**6/15 - 936*h**5/55 - 63*h**4/11 - 9*h**3/11 + 41*h + 4. Factor k(f).
-2*f*(f + 1)*(13*f + 3)**3/11
Let d = 367 + -363. Let k(p) be the first derivative of 7/20*p**5 + 0*p**2 + 0*p + d - 1/8*p**6 + 0*p**4 - 1/3*p**3. Solve k(m) = 0 for m.
-2/3, 0, 1, 2
Let c = 2/2235 - 46973/42465. Let l = 203/57 - c. Factor l*o + 4/3 + 10/3*o**2.
2*(o + 1)*(5*o + 2)/3
Let m(h) = -h + 9. Let k be m(7). Factor -34 - 2 - 16*x - 17 - k*x**2 + 21.
-2*(x + 4)**2
Determine m, given that -722/9*m**2 + 76/9*m - 2/9 = 0.
1/19
Let j(g) be the third derivative of -7*g**8/16 - 26*g**7/5 - 417*g**6/40 + 19*g**5/10 + 29*g**4/2 - 12*g**3 + 81*g**2. Suppose j(i) = 0. Calculate i.
-6, -1, 2/7
Factor -2 + 2/3*g - 2/3*g**3 + 2*g**2.
-2*(g - 3)*(g - 1)*(g + 1)/3
Find l, given that 7*l**3 - 29*l**4 - 17*l**4 - 4*l**2 - 24*l**5 - 33*l**3 = 0.
-1, -2/3, -1/4, 0
Factor -6*q**2 + 0*q + 3/8*q**4 + 0 + 0*q**3.
3*q**2*(q - 4)*(q + 4)/8
Let q(k) be the second derivative of 1/18*k**4 - 5*k + 0 + 1/90*k**5 - 3/2*k**2 + 1/9*k**3. Let o(p) be the first derivative of q(p). Let o(v) = 0. Calculate v.
-1
Suppose 4*r - 2*r = -5*x, 0 = 2*r + 3*r - x. Factor 0 - 2/11*u**2 + r*u - 2/11*u**3.
-2*u**2*(u + 1)/11
Let j = 12 - 181. Let m = 1187/7 + j. Factor -2/7*q**2 + 2/7*q + m.
-2*(q - 2)*(q + 1)/7
Let w = 589 + -4115/7. Let z = -2 + 16/7. Let 2*d**2 - 6/7*d**4 + 2/7*d**3 - z*d**5 - w + 0*d = 0. What is d?
-2, -1, 1
Let x(m) be the second derivative of m**5/15 - 5*m**4/6 - 4*m**3 + 9*m**2/2 + 8*m. Let i(v) be the first derivative of x(v). Solve i(w) = 0 for w.
-1, 6
Let -15 - 1/3*v + 1/3*v**3 + 15*v**2 = 0. Calculate v.
-45, -1, 1
Solve -3 + 2*d**3 - 1/2*d**2 - 11/2*d = 0 for d.
-1, -3/4, 2
Factor v**5 + 199*v**4 + 2 - 195*v**4 + 2*v + 2*v**5 - 4*v**3 - 6*v**2 - v.
(v - 1)*(v + 1)**3*(3*v - 2)
Let x(p) = 1444*p + 5779. Let z be x(-4). Factor -2/5*g**z - 8/5 - 4/5*g**2 + 14/5*g.
-2*(g - 1)**2*(g + 4)/5
Let m(a) = 3*a**3 - 85*a**2 + a + 77. Let q(n) = 2*n**3 - 84*n**2 + n + 78. Let i(o) = -3*m(o) + 4*q(o). Factor i(w).
-(w - 1)*(w + 1)*(w + 81)
Suppose -5*a + 5*b - 7*b = -28, 3*a - 32 = -5*b. Let d(q) be the first derivative of -a - 16*q - 12*q**2 - 1/2*q**4 - 4*q**3. Find m such that d(m) = 0.
-2
Let w(i) be the first derivative of 26*i**5/45 + i**4/9 + 115. Suppose w(d) = 0. Calculate d.
-2/13, 0
Let s be ((-1)/2)/((-2)/20). Let a be 12*1*2/4. Let 3*q + s*q**2 + 3 - 3*q**2 + a*q - 5*q**4 - q - 8*q**3 = 0. Calculate q.
-1, -3/5, 1
Let h = -41 + 44. Factor 3*b + 6*b**2 - b**h - 3*b - 5*b + 2 - 2*b**2.
-(b - 2)*(b - 1)**2
Let p(i) be the second derivative of i**4/6 + 29*i**3 - 88*i**2 + 894*i. Solve p(z) = 0 for z.
-88, 1
Let f(i) be the first derivative of 5*i**4/16 - 67*i**3/12 + 13*i**2/4 - 466. Factor f(q).
q*(q - 13)*(5*q - 2)/4
Let o be (-30)/(-4)*12/(-15). Let n(h) = h**2 + 6*h + 3. Let p be n(o). Factor -3*t**5 - 4*t**4 + 0*t - 5*t**p - t**3 - 4*t**2 + 2*t**5 - t.
-t*(t + 1)**4
Let i(x) be the third derivative of x**5/120 - x**4/16 - x**3/3 + 109*x**2. Factor i(h).
(h - 4)*(h + 1)/2
Solve 251 + v**2 + 6*v - 126 - 165 = 0 for v.
-10, 4
Let m(r) be the second derivative of -r**4/30 + 2*r**3/15 - 4*r - 14. Factor m(b).
-2*b*(b - 2)/5
Let q(i) be the first derivative of -i**4/30 + 14*i**3/15 - 4*i**2/3 + 410. Factor q(g).
-2*g*(g - 20)*(g - 1)/15
Let q(l) be the second derivative of -2*l**6/5 + 3*l*