9*c**5/20 - c**4/4 - 8*c - 6. Let o(f) be the first derivative of j(f). Factor o(u).
-3*u**2*(u + 1)**3
Let d(o) be the third derivative of -o**8/1512 - o**7/315 + 2*o**5/135 - o**2. Factor d(u).
-2*u**2*(u - 1)*(u + 2)**2/9
Let g(u) be the third derivative of u**7/630 + u**6/120 + u**5/60 + u**4/72 - 16*u**2. Determine p, given that g(p) = 0.
-1, 0
Factor 2/3 - 5/3*y - y**2.
-(y + 2)*(3*y - 1)/3
Let h(d) be the first derivative of -d**3/3 + 2*d**2 + 2*d - 2. Let p be h(4). Let -2/7*m**3 - 2/7*m**p + 0 + 2/7*m**4 + 2/7*m = 0. Calculate m.
-1, 0, 1
Factor -4*k**2 - 10*k**3 + 18*k**3 - 12*k**3.
-4*k**2*(k + 1)
Let c(h) be the first derivative of h**7/4620 - h**6/1980 + 4*h**3/3 - 5. Let z(f) be the third derivative of c(f). Factor z(u).
2*u**2*(u - 1)/11
Suppose -5*s + 4 = -3*n, -4*s + 8 = -0*s. Factor -2/11*h**5 - 2/11*h**3 + 0*h**n + 0*h + 0 + 4/11*h**4.
-2*h**3*(h - 1)**2/11
Let b(y) be the first derivative of 2*y**5/115 - 5*y**4/46 + 4*y**3/69 + 8*y**2/23 + 6. Let b(p) = 0. Calculate p.
-1, 0, 2, 4
Let t(p) = -4*p**4 - p**3 + 13*p**2. Let s(g) = -4*g**4 - 2*g**3 + 14*g**2. Let o(x) = -5*s(x) + 6*t(x). Find m such that o(m) = 0.
-1, 0, 2
Let y = -15 + 19. Let o(j) be the third derivative of 1/60*j**5 - 2*j**2 + 0*j**3 - 1/12*j**y + 0*j + 0. Suppose o(w) = 0. Calculate w.
0, 2
Let t(u) = u**3 + u**2 - u - 1. Let d(i) = i**4 + i**3 + 6*i**2 - 4*i - 4. Let n(k) = -d(k) + 4*t(k). Factor n(m).
-m**2*(m - 2)*(m - 1)
Let q(w) = -2*w**2 - 13*w - 5. Let u be q(-6). Factor -1/2*n - 1/2*n**2 + u.
-(n - 1)*(n + 2)/2
Let d(k) be the second derivative of -k**7/14 + 2*k**6/5 - 3*k**5/5 - k**4/2 + 5*k**3/2 - 3*k**2 + 40*k. Solve d(h) = 0.
-1, 1, 2
Let i(y) be the third derivative of y**5/240 + y**4/12 + y**3/2 - 48*y**2. Factor i(o).
(o + 2)*(o + 6)/4
Suppose 3*v = -x - 18, x - 4*v - 26 = 3*x. Let r = 5 + x. Factor 2*p**r - 3*p**2 - p + 2*p**2.
p*(p - 1)
Let s(c) be the second derivative of -1/15*c**3 + 0*c**2 - 2*c - 1/50*c**5 + 1/15*c**4 + 0. Find n such that s(n) = 0.
0, 1
Let q(y) be the third derivative of 5*y**5/8 + 5*y**4/8 + y**3/4 + y**2. Factor q(b).
3*(5*b + 1)**2/2
Factor -3 + 4*j**3 + 22 + 4*j**2 - 16*j**2 - 3.
4*(j - 2)**2*(j + 1)
Let v(p) be the third derivative of -3*p**2 + 0*p**3 + 1/6*p**4 + 0 - 1/30*p**6 + 0*p**5 + 0*p. Factor v(k).
-4*k*(k - 1)*(k + 1)
Let l(r) be the second derivative of -r**4/30 + 4*r**3/15 - 3*r**2/5 + 27*r. Find c such that l(c) = 0.
1, 3
Suppose -4*w + 9*w = 20. Let v = -3/166 + 359/1494. Factor -2/3*q**w + 4/9*q**3 + v*q**5 + 4/9*q**2 - 2/3*q + 2/9.
2*(q - 1)**4*(q + 1)/9
Let o(x) = 3 + 13 + x**2 - 13. Let a be o(0). Let 0 + 2/5*i**a - 4/5*i - 2/5*i**2 = 0. Calculate i.
-1, 0, 2
Solve -4/11*t**2 + 4/11*t**4 + 0 + 0*t + 2/11*t**5 - 2/11*t**3 = 0 for t.
-2, -1, 0, 1
Let v = -16127/36 + 448. Let o(i) be the second derivative of 2*i + 1/6*i**2 + 0*i**3 + 0 - v*i**4. Determine d so that o(d) = 0.
-1, 1
Factor 48/5*o**2 + 192/5*o + 4/5*o**3 + 256/5.
4*(o + 4)**3/5
Let a(x) be the third derivative of -4*x**5/15 - x**4/6 + 2*x**3 + 10*x**2. Suppose a(h) = 0. What is h?
-1, 3/4
Let p(k) be the first derivative of -32/3*k**3 - 4/5*k**5 + 0*k + 4 + 8*k**2 + 5*k**4. Factor p(a).
-4*a*(a - 2)**2*(a - 1)
Let i be (0 + (-6)/8)*-4. Factor 2*k**3 + 2*k**2 - 4*k**2 + 0*k**i + 0*k**3.
2*k**2*(k - 1)
Let q(x) be the first derivative of x**4/14 - 4*x**3/21 + 2. Factor q(l).
2*l**2*(l - 2)/7
Let p(b) be the second derivative of -3*b**5/100 - 3*b**4/10 - 6*b**3/5 - 12*b**2/5 - 38*b. Find t such that p(t) = 0.
-2
Let h = -1/32 - -37/160. Factor -9/5*b**4 + 0 + 0*b - h*b**2 + 6/5*b**3 + 4/5*b**5.
b**2*(b - 1)**2*(4*b - 1)/5
Factor -3 - 4*l**2 - 2*l**3 - 10*l + 12*l**2 + 4 + 3.
-2*(l - 2)*(l - 1)**2
Let h = 43/32 - -17/160. Let p = h - 5/4. Determine k, given that -p*k**4 + 0*k - 1/5*k**2 + 2/5*k**3 + 0 = 0.
0, 1
Let b be -1 - 3/((-9)/4). What is o in -1/3*o**2 - b - 2/3*o = 0?
-1
Let c(f) be the second derivative of 0 - 1/27*f**3 - 1/54*f**4 + 1/90*f**5 + 1/9*f**2 + 4*f. Factor c(q).
2*(q - 1)**2*(q + 1)/9
Let i(u) = -u**3 + 20*u**2 - 15*u - 72. Let t be i(19). Let 2/7*s**2 + 10/7*s**3 - 2/7*s**t + 8/7 - 2/7*s**5 - 16/7*s = 0. Calculate s.
-2, 1
Let c(s) be the first derivative of -35*s**4/4 - 8*s**3 - 2*s**2 + 19. Factor c(y).
-y*(5*y + 2)*(7*y + 2)
Let a(c) be the third derivative of c**5/100 + c**4/40 + 5*c**2. Factor a(v).
3*v*(v + 1)/5
Let q(n) be the third derivative of n**2 - 2/735*n**7 + 0*n**3 + 1/420*n**6 + 0*n**5 + 0*n + 0*n**4 + 0 + 1/1176*n**8. Find g, given that q(g) = 0.
0, 1
Let f(h) be the second derivative of -343*h**5/4 - 490*h**4 - 1120*h**3 - 1280*h**2 - h. Let f(g) = 0. Calculate g.
-8/7
Let b(v) be the second derivative of -1/4*v**4 + 0 + 0*v**2 - 1/2*v**3 + 4*v. Factor b(y).
-3*y*(y + 1)
Let p = 123 + 395. Let q = -2558/5 + p. Let 2/5 + 16/5*o + q*o**2 = 0. What is o?
-1/4
Let d be 10*((-15)/5 + (-81)/(-25)). Determine a so that d + 12/5*a + 3/5*a**2 = 0.
-2
Let l be ((-16 - -12) + (1 - -1))/(-1). Factor 8/3 - 8/3*h + 2/3*h**l.
2*(h - 2)**2/3
Let o(d) be the third derivative of d**7/13860 + d**6/660 + 3*d**5/220 + d**4/3 - 4*d**2. Let x(v) be the second derivative of o(v). Find p such that x(p) = 0.
-3
Let o(y) = -y**3 - 4*y**2 + 2*y - 2. Let n be o(-5). Suppose -n*x + 7*x**4 - 39*x**3 + 13*x**3 + 5*x + 24*x**2 - 2*x**5 + 5*x**4 = 0. Calculate x.
0, 1, 2
Let g = 9126826/125 - 73015. Let d = 1/125 - g. Factor -2/5 - 6/5*q**2 - 6/5*q - d*q**3.
-2*(q + 1)**3/5
Let d(b) be the third derivative of -b**5/5 + 13*b**4/8 - 3*b**3/2 + 3*b**2. Determine o, given that d(o) = 0.
1/4, 3
Let m(d) = 34*d**2 - 154*d + 120. Let l(s) = -7*s**2 + 31*s - 24. Let p(w) = -14*l(w) - 3*m(w). Factor p(h).
-4*(h - 6)*(h - 1)
Let s be -4 + 6 + 0/(-4). Factor -1/2*q**s - 12*q**4 + 0*q - 18*q**5 + 0 + 11/2*q**3.
-q**2*(q + 1)*(6*q - 1)**2/2
Let i be (3 + (2 - 5))/(-2). Factor q**4 + i*q + 3*q - 3*q - 2*q**2 + 1.
(q - 1)**2*(q + 1)**2
Let h(y) be the third derivative of -1/24*y**4 + 0*y + 0*y**3 - 2*y**2 + 1/30*y**5 + 0 - 1/120*y**6. What is f in h(f) = 0?
0, 1
Suppose 0 = -4*h - 102 - 330. Let d be 2/8 + (-45)/h. Factor -2/3*i**2 + d*i + 0.
-2*i*(i - 1)/3
Let t(n) be the second derivative of n**4/114 - 4*n**2/19 + 4*n. Factor t(z).
2*(z - 2)*(z + 2)/19
Let q be (-3)/(-6) + 3/(-26). Let g = q - -3/26. Let -1/2*o**5 - g - 5*o**3 - 5/2*o - 5*o**2 - 5/2*o**4 = 0. Calculate o.
-1
Let b(u) be the third derivative of -u**5/12 + 5*u**3/6 + 18*u**2. Suppose b(l) = 0. What is l?
-1, 1
Let o(m) = m**2 + 15*m - 34. Let j be o(-17). Determine x so that 1/2*x**5 + j*x - 1/2*x**3 - x**4 + 0 + x**2 = 0.
-1, 0, 1, 2
Let c(z) be the second derivative of -z**4/84 + z**3/42 + z**2/7 + 22*z. Solve c(l) = 0 for l.
-1, 2
Suppose -4*n + 2*i + 6 = -8, -1 = 4*n + 3*i. Let h(u) be the first derivative of 1/2*u**3 + 1/2*u - 1/8*u**4 + n - 3/4*u**2. Solve h(a) = 0.
1
Let b be 18/15*(-150)/(-270). Factor 0*c + 2/3*c**5 + 0 + 2*c**3 - 2*c**4 - b*c**2.
2*c**2*(c - 1)**3/3
Let t(r) = -3*r**3 + 4*r**2 + 2*r - 30. Let q(m) = m**3 + m**2 - m - 1. Let x(s) = 10*q(s) + 5*t(s). Factor x(z).
-5*(z - 4)**2*(z + 2)
Let h(g) be the third derivative of 1/12*g**4 + 0*g - 2*g**2 + 0*g**5 + 0*g**3 + 0 - 1/60*g**6. Find l such that h(l) = 0.
-1, 0, 1
Let j(d) be the second derivative of -d**8/13440 + d**6/1440 - d**4/12 - 3*d. Let c(k) be the third derivative of j(k). Factor c(f).
-f*(f - 1)*(f + 1)/2
Let g(j) = -j**2 + 1. Let b be g(1). Suppose 3*h**5 + 0 - 5*h**4 + b + 4*h**4 = 0. Calculate h.
0, 1/3
Let y(w) be the second derivative of w**7/2520 - w**6/270 + w**5/72 - w**4/36 + w**3/3 - 2*w. Let x(h) be the second derivative of y(h). Factor x(s).
(s - 2)*(s - 1)**2/3
Let o = -22 + 26. Let h(l) be the second derivative of 0 + 1/30*l**6 - l + 1/2*l**2 - 1/42*l**7 + 1/10*l**5 - 1/6*l**o - 1/6*l**3. Find j, given that h(j) = 0.
-1, 1
Let w be (-1)/5 - 3/(-60)*4. Let r(k) be the second derivative of 1/7*k**2 + 0 + w*k**3 - 1/42*k**4 + 3*k. Factor r(u).
-2*(u - 1)*(u + 1)/7
Let v(r) = -2*r - 18. Let i be v(-10). Let d(z) be the third derivative of 3*z**i - 1/16*z**4 + 0 + 0*z + 1/12*z**3 + 1/40*z**5 - 1/240*z**6. Factor d(q).
-(q - 1)**3/2
Suppose -2*p + 3*g - 4*g = -20, 0 = 3*p + 2*g - 28. Suppose -5*u - t + 6*t = -40, -t = 3*u - p. Factor -3*i - u*i**2 + 0 + 4*i**2 - 2.
-(i + 1)*(i + 2)
Le