). Factor q(g).
-g*(g - 1)*(3*g - 1)/9
Let l(o) be the first derivative of 0*o**5 + o**3 + 0*o**2 + 0*o - 12 - 1/42*o**4 + 1/2520*o**6. Let j(q) be the third derivative of l(q). Factor j(m).
(m - 2)*(m + 2)/7
Let v(n) be the third derivative of 0 + 2/27*n**3 + 2/135*n**5 + 0*n - 1/12*n**4 - 7*n**2. Let v(t) = 0. What is t?
1/4, 2
Determine g, given that -578/5 + 68/5*g - 2/5*g**2 = 0.
17
Let p = 12424 - 12421. Factor -p*u + 1/4*u**2 + 9.
(u - 6)**2/4
Let v(p) = -p**3 - 8*p**2 - 8*p - 3. Let z be v(-7). Suppose -z*m = -w - 94, -3*m - 3*w + 80 = w. Find s, given that -m*s + 3*s**2 - 3 + 24*s = 0.
-1, 1
Suppose -3*g - 15 + 24 = 0. Let v(u) be the first derivative of 1/15*u**g - 9 - 2/5*u - 1/10*u**2. Factor v(o).
(o - 2)*(o + 1)/5
Let p = 193/130 - -1/65. Find r such that -3/4 + p*r**3 - 3*r**2 + 5/2*r - 1/4*r**4 = 0.
1, 3
Let b(d) be the third derivative of 7*d**6/480 + d**5/48 - d**4/48 - d**2. Factor b(w).
w*(w + 1)*(7*w - 2)/4
Let i(y) be the first derivative of 9*y**4/10 + 76*y**3/15 + 44*y**2/5 + 16*y/5 - 79. What is c in i(c) = 0?
-2, -2/9
Suppose 4*f + 4*c = 44, 0*f + 5*c - 19 = -f. Let i = -3 + 9. Solve 5*a**3 - 2*a**3 + 0*a**3 + i - f*a = 0.
-2, 1
Let r = -40/39 - -413/390. Let p(f) be the third derivative of -r*f**5 + 0 + 1/3*f**3 + 0*f + 1/12*f**4 - 1/60*f**6 - 5*f**2. Suppose p(c) = 0. What is c?
-1, 1
Let b = 10760/7 - 1536. Factor -8/7*q - 2/7*q**3 + 0 + b*q**2.
-2*q*(q - 2)**2/7
Suppose -100*y + 101*y - 4 = 0. What is v in -y*v - 19*v**2 + 12 + 0*v + 7*v**2 - 73*v**3 + 77*v**3 = 0?
-1, 1, 3
Let l = -135 + 140. Let b(f) be the second derivative of 0 - f**2 - 1/3*f**4 - 1/20*f**l - 7*f - 5/6*f**3. Factor b(o).
-(o + 1)**2*(o + 2)
Let o(q) be the first derivative of -q**5/30 + q**4/8 + q**3/6 - 7*q**2/12 - q - 43. Let o(i) = 0. What is i?
-1, 2, 3
Let r(d) be the second derivative of -2*d**6/45 + 2*d**5/5 - 7*d**4/9 - 4*d**3/3 + 16*d**2/3 - 3*d - 42. Let r(c) = 0. Calculate c.
-1, 1, 2, 4
Let d(q) = -10*q**4 + 30*q**3 + 38*q**2 + 42*q + 12. Let b(z) = 3*z**4 - 10*z**3 - 13*z**2 - 14*z - 4. Let k(h) = 16*b(h) + 5*d(h). Factor k(t).
-2*(t + 1)**3*(t + 2)
Let v be (-426)/(-63) - (-18)/(-42). Let p(x) be the first derivative of -4*x**2 - 67/12*x**4 - 1/2*x**6 - 4/3*x - 13/5*x**5 - v*x**3 + 7. Factor p(m).
-(m + 1)**3*(3*m + 2)**2/3
Let t(p) be the first derivative of -p**6/480 + 2*p**3/3 - 8. Let c(a) be the third derivative of t(a). Factor c(g).
-3*g**2/4
Let l(s) be the second derivative of 3*s**5/20 + s**4 - 11*s**3/2 + 9*s**2 + 51*s - 1. Find p, given that l(p) = 0.
-6, 1
Let a(b) be the third derivative of b**7/1365 - b**6/26 + 27*b**5/130 + b**4/39 - 36*b**3/13 - 53*b**2 - 2. Determine y so that a(y) = 0.
-1, 2, 27
Let k(h) = 10*h + 402. Let x be k(-40). Let l = 678/65 + -42/13. Factor 24/5*q + 3/5*q**4 + 18/5*q**3 + l*q**x + 0.
3*q*(q + 2)**3/5
Let x = 822 + -54251/66. Let f(s) be the second derivative of x*s**4 + 3*s + 0*s**2 + 0*s**3 + 0. Factor f(w).
2*w**2/11
Let r(h) be the first derivative of -h**6/660 + h**5/165 - 5*h**2 - 17. Let d(k) be the second derivative of r(k). What is g in d(g) = 0?
0, 2
Let j be -2*16*4/(-16). Let f be 2/(-1*j) + (-44 - -45). Determine o, given that 0*o + 0*o**2 - f*o**4 - 1/2*o**3 - 1/4*o**5 + 0 = 0.
-2, -1, 0
Let o = 149 + -152. Let x be (-12)/12 - (-2 - o/7). Factor -2/7*w - 8/7*w**2 + 6/7*w**3 + x.
2*(w - 1)**2*(3*w + 2)/7
Let i(t) = 6*t**2 + 3*t + 2. Let l be 1*(3 + -2 + 1). Let k(n) = 1 - 4 - l*n - 2*n - 7*n**2. Let j(b) = -6*i(b) - 5*k(b). Let j(s) = 0. What is s?
-1, 3
Suppose 0 = 3*l - l - 8. Factor 9*p**2 + 2*p**3 - p**3 - 4*p + l - 10*p**2.
(p - 2)*(p - 1)*(p + 2)
Factor 218604 - 5*y**3 - 16156*y + 414*y**2 + 1741*y - 69649 + 51*y**2.
-5*(y - 31)**3
Let o(g) = 2*g**2 + 29*g - 13. Let v(z) = 18*z + 3. Let d be v(-1). Let i be o(d). Factor 2/5 + 1/5*s - 1/5*s**i.
-(s - 2)*(s + 1)/5
Let r(g) = 4*g**4 + 9*g**5 - 13*g**5 + 1 - 4. Let b(c) be the first derivative of -5*c**6/6 + c**5 - 4*c + 4. Let s(z) = 3*b(z) - 4*r(z). Factor s(l).
l**4*(l - 1)
Let o(u) be the first derivative of -1/16*u**4 + 5/8*u**2 + 3/4*u - 17 + 1/12*u**3. Factor o(r).
-(r - 3)*(r + 1)**2/4
Find i, given that 188/7*i**2 - 4*i**3 - 16*i - 48/7 = 0.
-2/7, 1, 6
Let s(k) = -45*k**3 - 10*k**2 + 25*k - 30. Let v(t) = -t**4 - t - 1. Let f(i) = s(i) - 20*v(i). Solve f(j) = 0 for j.
-1, 1/4, 1, 2
Let w be ((-4)/(-16))/(9/72). Let c(z) be the first derivative of -5 + 2/45*z**3 + 0*z - 1/5*z**w. Find g, given that c(g) = 0.
0, 3
Let n(l) be the first derivative of -5/9*l**3 - 7/6*l**2 - l - 1/12*l**4 - 4. Find f such that n(f) = 0.
-3, -1
Let l(i) = -4*i**2 - i**4 + 1 - 2*i**4 - i**4 + 10*i**3. Let p(r) = r**4 + r**2 + 1. Let h(t) = l(t) - p(t). Find u such that h(u) = 0.
0, 1
Let c(g) be the first derivative of g**4/38 + 4*g**3/19 - 7*g**2/19 - 348. Factor c(k).
2*k*(k - 1)*(k + 7)/19
Let n = 11 + -5. Factor 19 - c**2 - n - 4 - 8 + c**3 - c.
(c - 1)**2*(c + 1)
Let x(l) be the second derivative of l**6/360 - l**5/30 + 5*l**4/72 + 4*l**2 + 9*l. Let v(u) be the first derivative of x(u). Factor v(y).
y*(y - 5)*(y - 1)/3
Let g(v) = -v**4 + v**3 - v - 1. Let w(b) = 3*b**4 - 6*b**3 + 3*b**2 + 12*b + 8. Suppose -8*r + 9*r + 12 = 0. Let f(o) = r*g(o) - 3*w(o). Factor f(s).
3*(s - 2)*(s + 1)**2*(s + 2)
Let f be -4 + (-224)/(-24) + -5. Factor f - 1/3*n - 1/3*n**2 + 1/3*n**3.
(n - 1)**2*(n + 1)/3
Suppose 432 = -2*s - 16*s. Let w be (3/(-2))/(s/32). Factor -4/5*g**3 + 0 + 0*g + 6/5*g**w - 2/5*g**4.
-2*g**2*(g - 1)*(g + 3)/5
Suppose 1 = -2*h + 3, 2*h - 10 = 4*b. Let c be 2 + (0 + 0 - b). Let 0*s**3 - 6*s**2 - 2*s**3 + c - 6*s - 3 - 3 = 0. What is s?
-1
Suppose -17*s = 29 - 63. Solve 2/5*l**3 - 3/5 + 2/5*l + 7/5*l**s = 0.
-3, -1, 1/2
Let v(r) be the third derivative of -r**6/600 - r**5/150 - r**4/120 - r**2 + 2*r. Find z, given that v(z) = 0.
-1, 0
Let b(s) be the second derivative of -s**6/40 - s**5/20 + s**4/4 + 19*s**2/2 + 2*s. Let f(y) be the first derivative of b(y). Solve f(g) = 0 for g.
-2, 0, 1
Let z be ((-92)/207)/(((-2)/(-12))/(90/(-120))). Factor -2/3 - 8/9*m - 2/9*m**z.
-2*(m + 1)*(m + 3)/9
Suppose 2*h + 8*b - 6 = 3*b, b - 15 = -5*h. Factor 12*g + 4*g**5 + 4 - 13*g**h + 4 - 3*g**3 - 8*g**2.
4*(g - 2)*(g - 1)*(g + 1)**3
Factor 3*z**2 - 41*z + 4 - 16 + z**2 + 49*z.
4*(z - 1)*(z + 3)
Suppose 4*w = 12, 5 = 5*t - 3*w + 14. Factor t + 1/8*o**3 - 1/2*o**2 + 0*o.
o**2*(o - 4)/8
What is k in -5/6*k**3 + 0 + 0*k - 3/2*k**5 - 8/3*k**4 + 1/3*k**2 = 0?
-1, 0, 2/9
Let g(m) be the first derivative of -m**7/42 + m**6/9 - m**5/20 - m**4/3 + 2*m**3/9 + 20*m + 9. Let t(h) be the first derivative of g(h). Solve t(r) = 0.
-1, 0, 1/3, 2
Let a(t) be the first derivative of -1/21*t**3 + 1/7*t**2 + 0*t - 1/28*t**4 - 9. Solve a(s) = 0.
-2, 0, 1
Let z(v) = -17*v**2 - 260*v - 3374. Let p(a) = -36*a**2 - 520*a - 6747. Let r(y) = 6*p(y) - 13*z(y). Factor r(h).
5*(h + 26)**2
Let g = 386/1407 + 16/1407. Let -g*h**3 - 1/7*h**4 + 4/7*h**2 + 0 + 8/7*h = 0. Calculate h.
-2, 0, 2
Let n = -37665/7 - -5383. Factor l**4 - 19/7*l**3 + 25/7*l**2 - n*l - 1/7*l**5 + 4/7.
-(l - 2)**2*(l - 1)**3/7
Suppose -16 = 4*w + 4*j, -1544*w + 1539*w + 5*j + 30 = 0. Factor 1/4*z**2 - 3/4*z - w.
(z - 4)*(z + 1)/4
Let l = -370 + 370. Let j(k) be the second derivative of 3*k - 7/80*k**5 + 0*k**2 + 1/12*k**3 + 5/48*k**4 + l. Find r such that j(r) = 0.
-2/7, 0, 1
Let k = 5 - 3. Suppose -f = k - 205. Let -2 - 59*r**3 - 610*r**3 + 84*r - 322*r**4 + 234*r**2 - f*r**4 - 22 + 900*r**5 = 0. What is r?
-2/3, -2/5, 1/4, 2/5, 1
Suppose a + 5*p - 15 = 0, 0 = 5*a + 6*p - 4*p - 6. Suppose 3*c**2 + 3/2*c**3 + a*c + 0 = 0. What is c?
-2, 0
Let c = -3 + 6. Suppose -81*i**c - 42*i**5 + 33*i**4 - 10*i**3 - 35*i**3 - 24*i - 217*i**4 + 136*i**2 = 0. Calculate i.
-3, -2, 0, 2/7, 1/3
Let a(m) be the third derivative of 1/42*m**7 - 5/24*m**4 - 1/12*m**5 + 0 + 0*m + 4*m**2 + 0*m**3 + 1/24*m**6. Factor a(l).
5*l*(l - 1)*(l + 1)**2
Let y(o) be the first derivative of 25*o**6/21 - 48*o**5/7 - 13*o**4/2 + 748*o**3/21 - 228*o**2/7 + 80*o/7 - 111. Suppose y(m) = 0. What is m?
-2, 2/5, 1, 5
Let n be 0/1 - (-138)/368. Suppose -3*w - 5*i - 19 = -w, 3*i + 15 = 0. Factor n*v**w + 3/8*v + 3/4*v**2 + 0.
3*v*(v + 1)**2/8
Let n(f) be the first derivative of -f**4/24 + f**3/4 + f**2 + 7*f - 8. Let j(i) be the first derivative o