ond derivative of -2*f**2 + 0 - 3*f - 1/10*f**5 + 1/3*f**4 + 1/3*f**3. Factor b(a).
-2*(a - 2)*(a - 1)*(a + 1)
Suppose 4*a - 18 = -w, 3 - 1 = 3*w - a. Factor 2*u**2 + 4*u**w - 2 - 4*u**2.
2*(u - 1)*(u + 1)
Let g be (-12)/(-7) - (-2)/7. Suppose 4*h - 3*c - 8 + 2 = 0, 0 = 4*c + 8. Factor 1/2*m**5 - 1/2*m**3 + h*m**4 + 0 + 0*m + 0*m**g.
m**3*(m - 1)*(m + 1)/2
Let b(r) = r**2 + 10*r + 4. Let g be b(-10). Let t(s) be the third derivative of 1/6*s**3 - 1/8*s**g + 0*s + 0 - 1/120*s**6 + 1/20*s**5 - 2*s**2. Factor t(c).
-(c - 1)**3
Let -1/2*f**4 + 0 - 3/4*f**5 + 1/2*f**2 + 0*f + 3/4*f**3 = 0. Calculate f.
-1, -2/3, 0, 1
Let f(j) be the first derivative of 1/6*j**6 + j - 1/2*j**4 + 1/5*j**5 + 1/2*j**2 - 2/3*j**3 + 7. Factor f(d).
(d - 1)**2*(d + 1)**3
Suppose 0 = s + 4*s - 20. Suppose h - s = -h. Factor 0*d**h - 8/5*d + 6/5*d**3 - 2/5*d**4 + 0.
-2*d*(d - 2)**2*(d + 1)/5
Suppose 0 = -4*l + 26 + 6. Suppose 3*g - 1 = l. Factor 6*a**2 + 14*a**2 - 53*a**4 + 4*a + 18*a**4 + 11*a**g.
-a*(a - 1)*(5*a + 2)*(7*a + 2)
Let u(p) = -6*p**2 - 4. Suppose x = 4*x + 3. Let l(j) = -j**2 - j - 1. Let m(a) = x*u(a) + 4*l(a). Let m(y) = 0. Calculate y.
0, 2
Let y = 3 - -1. Suppose -m - 10 = 5*u, 3*m + y*u = -1 + 4. Factor 8*c**4 - 4*c**4 - 5*c**2 + 2*c - 2*c**m - c**2 + 2*c**2.
-2*c*(c - 1)**3*(c + 1)
Let v = -10 - -6. Let n be (0 - 0)/(3 + v). Factor 2/3*s**3 + 1/3 - 1/3*s**4 + n*s**2 - 2/3*s.
-(s - 1)**3*(s + 1)/3
What is k in -12*k**3 - 150*k**2 + 315*k**2 - 153*k**2 + 4*k**4 - 4*k = 0?
0, 1
Let y(k) = -3*k**2 + 15*k - 18. Let c(r) = -6*r**2 + 30*r - 36. Let f(i) = 4*c(i) - 7*y(i). Factor f(j).
-3*(j - 3)*(j - 2)
Let b(i) be the first derivative of 2*i**3/21 - 4*i**2/7 + 6*i/7 + 36. Determine l, given that b(l) = 0.
1, 3
Factor 12/5*d - 2/5*d**2 - 18/5.
-2*(d - 3)**2/5
Let k = 59/1260 + -1/90. Let z = k + 25/84. Find f, given that 0 - z*f**3 + 0*f**2 + 1/3*f = 0.
-1, 0, 1
Let u(m) be the first derivative of 20*m**3/3 + 45*m**2/2 + 10*m - 8. Factor u(v).
5*(v + 2)*(4*v + 1)
Let p(t) be the first derivative of -3*t**7/140 - 4*t**6/45 - t**5/12 + t**4/6 + 5*t**3/3 + 8. Let u(y) be the third derivative of p(y). Factor u(s).
-2*(s + 1)**2*(9*s - 2)
Let i be 4/10*(6 + -1). Let n(k) be the first derivative of 1/14*k**4 + 0*k**2 - i - 2/21*k**3 + 0*k. Factor n(o).
2*o**2*(o - 1)/7
Let r(p) be the third derivative of -p**6/120 - p**5/80 + 3*p**4/32 - p**3/12 - 6*p**2. Factor r(g).
-(g - 1)*(g + 2)*(4*g - 1)/4
Let b(f) = f**4 + 4*f**3 - 6*f**2 + 4*f + 1. Let j(r) = r**4 + 3*r**3 - 5*r**2 + 3*r + 1. Let i(z) = 3*b(z) - 4*j(z). Let i(p) = 0. Calculate p.
-1, 1
Let m(y) = -y**3 - y**2 - y + 1. Let t(g) = 7*g**3 - 3*g**2 - 17*g + 3. Let k(i) = 5*m(i) - t(i). Factor k(o).
-2*(o - 1)*(o + 1)*(6*o + 1)
Suppose 0 = -5*m - 4*f + 34, -5*f - 36 = -5*m - 11. Factor 2*q - 2*q**4 - 2*q**4 - m*q**2 - 2*q**4 + 4*q**4 + 6*q**3.
-2*q*(q - 1)**3
Let k(u) = u**3 + 27*u**2 - 145*u - 167. Let z(n) = -3*n**3 - 55*n**2 + 291*n + 333. Let o(f) = -15*k(f) - 6*z(f). Factor o(y).
3*(y - 13)**2*(y + 1)
Factor -8/5*g + 0 + 1/5*g**2.
g*(g - 8)/5
Suppose 0 = -l - w + 3, l - 1 = -2*w - 0. Factor 4*h**2 - 3 + l - 2*h**3 - 3*h - 3*h + 2*h**2.
-2*(h - 1)**3
Find i, given that -i**3 + 4 + 16*i**2 + 14*i**2 + 29*i + 2 + 8*i**3 = 0.
-3, -1, -2/7
Let d(m) be the first derivative of 3 - 2/33*m**3 + 0*m + 0*m**2 - 1/22*m**4. What is n in d(n) = 0?
-1, 0
Let i(w) be the second derivative of -w**8/6720 - w**7/1260 - w**6/720 + w**4/3 - 6*w. Let k(x) be the third derivative of i(x). Factor k(n).
-n*(n + 1)**2
Let k(s) be the third derivative of s**9/120960 - s**8/10752 + s**7/6720 + s**6/640 - s**4/12 - s**2. Let m(u) be the second derivative of k(u). Factor m(r).
r*(r - 3)**2*(r + 1)/8
Let m = 429 - 423. Find q such that m*q**3 - 12/5*q + 4/5 - 11/5*q**2 + 5*q**4 = 0.
-1, 2/5
Let k(q) be the first derivative of q**6/10 + 21*q**5/25 + 3*q**4/2 - 2*q**3/5 - 33*q**2/10 - 3*q + 6. Factor k(j).
3*(j - 1)*(j + 1)**3*(j + 5)/5
Let y(s) be the third derivative of 0*s - 8*s**2 - 1/60*s**5 + 0 - 8/3*s**3 + 1/3*s**4. Let y(f) = 0. What is f?
4
Let f(y) be the third derivative of 0*y**4 - 1/300*y**6 + 0*y**3 + 0*y + 0 + y**2 + 0*y**5. Let f(z) = 0. Calculate z.
0
Factor -33*w + 100*w**3 + 49*w + 86*w**2 - 6*w**2.
4*w*(5*w + 2)**2
Let f(m) be the second derivative of -1/24*m**3 - 1/48*m**4 + 2*m + 0*m**2 + 0. Factor f(t).
-t*(t + 1)/4
Let -15*n**3 - 29*n + 3 - 5*n**4 + 45*n**2 - 3 + 4*n = 0. What is n?
-5, 0, 1
Let i = -4 + 6. Let b(q) = 5*q**3 + 4*q**2 - 2*q - 4. Let w(y) = -4*y**3 - 4*y**2 + 2*y + 4. Let x(t) = i*b(t) + 3*w(t). Factor x(h).
-2*(h - 1)*(h + 1)*(h + 2)
Let p = 85/186 + 4/93. Let l(x) be the first derivative of p*x**2 + 1 + 0*x + 1/6*x**3. Factor l(z).
z*(z + 2)/2
Suppose -4*f - 36 - 1 = -5*n, -2*f + 4 = 0. Let z = -9 + n. Let -1/3*u**2 + z*u**3 + 0*u + 0 + 1/3*u**4 = 0. Calculate u.
-1, 0, 1
Suppose 2 = 2*c - 4. Suppose -9 = -0*k - c*k. Find b, given that -7*b + 3*b - 7*b**2 + 2*b**k + 9*b**2 = 0.
-2, 0, 1
Find q such that 6/13*q**2 + 2/13 - 6/13*q - 2/13*q**3 = 0.
1
Let l(d) be the second derivative of -125*d**7/231 + 70*d**6/33 + 4*d**5/11 - 184*d**4/33 - 208*d**3/33 - 32*d**2/11 - 3*d. Factor l(m).
-2*(m - 2)**2*(5*m + 2)**3/11
Suppose -3/2*m + 2/3*m**2 + 1/3 = 0. Calculate m.
1/4, 2
Let h(x) be the second derivative of -4/9*x**3 - 1/10*x**5 + x**2 - 1/3*x**4 - 4*x + 0. Let n(m) be the first derivative of h(m). Factor n(y).
-2*(3*y + 2)**2/3
Let j(z) be the third derivative of -z**11/997920 + z**9/181440 - 7*z**5/60 - 2*z**2. Let l(d) be the third derivative of j(d). Suppose l(g) = 0. What is g?
-1, 0, 1
Let g(l) be the second derivative of -1/6*l**4 - l - 1/3*l**2 - 4/9*l**3 + 0. Factor g(w).
-2*(w + 1)*(3*w + 1)/3
Let m = 247/4 - 1203/20. Determine x so that 6/5 + 2/5*x**2 - m*x = 0.
1, 3
Factor -4/11*i - 2/11*i**2 - 2/11.
-2*(i + 1)**2/11
Let m(o) be the first derivative of -3*o**6/2 + 24*o**5/5 - 21*o**4/4 + 2*o**3 - 17. Solve m(d) = 0.
0, 2/3, 1
Let o(u) = u**3 - u**2 - u. Let x(g) = -g**5 + 7*g**4 - 17*g**3 + 15*g**2 - 2*g. Let k(t) = 10*o(t) + 5*x(t). What is c in k(c) = 0?
0, 1, 4
Suppose -2 - 10 = -3*q. Suppose 10 = 5*r - 5*x, 4*r - 2*r - 3*x = q. Find y, given that 2*y**r + 2*y**3 + 2*y**3 - y - 3*y**3 - 2*y**4 = 0.
-1, 0, 1/2, 1
Suppose 0 = i + 2*i - 36. Let c be (-8)/(-3) - i/18. What is w in 1/3 + 4/3*w**5 - 2/3*w**c + 4/3*w - 8/3*w**3 + 1/3*w**4 = 0?
-1, -1/4, 1
Let r(i) be the third derivative of -1/300*i**6 + 0*i**3 - 1/60*i**4 + 0 + 0*i + 3*i**2 + 1/75*i**5. What is s in r(s) = 0?
0, 1
Let v(j) be the third derivative of 0*j**3 - 1/180*j**6 + 0 + 1/18*j**4 + 0*j - 1/90*j**5 + 6*j**2. Suppose v(z) = 0. What is z?
-2, 0, 1
Let q be ((-4)/(-7))/(1/7). Let w be 10/15*-5 + q. Factor 2/3*n**4 - w*n**2 - 2/3*n + 0 + 2/3*n**3.
2*n*(n - 1)*(n + 1)**2/3
Let r(t) be the third derivative of -t**6/240 + t**5/40 - t**4/24 - 2*t**2. Let r(i) = 0. What is i?
0, 1, 2
Let l(s) be the third derivative of -s**8/84 - s**7/126 + s**6/60 - s**5/180 + 2*s**2. Determine i so that l(i) = 0.
-1, 0, 1/4, 1/3
Let o(h) be the third derivative of 1/945*h**7 + 0*h - 1/180*h**6 - 2*h**2 - 1/108*h**4 + 1/90*h**5 + 0 + 0*h**3. Factor o(i).
2*i*(i - 1)**3/9
Let o be 358/(-36) - (-1)/(-2). Let w = o + 32/3. Factor 0*m + 0 - 2/3*m**3 - 2/9*m**5 - w*m**2 - 2/3*m**4.
-2*m**2*(m + 1)**3/9
Let v(u) be the second derivative of -u**5/35 + 2*u**4/7 + 2*u**3/21 - 12*u**2/7 + 33*u + 2. Find x, given that v(x) = 0.
-1, 1, 6
Let g = -68 + 68. Let o(u) be the second derivative of 2*u + 2/5*u**5 + g + 1/2*u**2 - 1/4*u**4 - 2/15*u**6 - 1/3*u**3. Let o(k) = 0. What is k?
-1/2, 1/2, 1
Let h = 191 - 3631/19. Let j = h - -86/95. What is y in 2/5*y**4 - 2/5*y + 2/5*y**3 + j - 6/5*y**2 = 0?
-2, -1, 1
Determine a so that -20/3*a**2 + 28/3*a**3 - 16/3 - 64/3*a = 0.
-1, -2/7, 2
Let b(l) = -424*l**2 + 62*l. Let a(j) = 47*j**2 - 7*j. Let d(f) = -52*a(f) - 6*b(f). Factor d(v).
4*v*(25*v - 2)
Let a = 6 + -3. Determine g, given that 0*g**a - 2*g**3 + 2*g**4 + 7*g**5 - 4*g**3 - 2*g**2 - g**5 = 0.
-1, -1/3, 0, 1
Let 0*a - 16/7*a**2 + 4/7*a**5 + 32/7*a**3 + 0 - 20/7*a**4 = 0. What is a?
0, 1, 2
Suppose 4 = h - 15. Let k be (-2)/(-10) - h/(-5). Factor -l**2 - 4/3*l + 4/3*l**3 - 1/3*l**k + 4/3.
-(l - 2)**2*(l - 1)*(l + 1)/3
Let n = -7 - -9. Find i, given that 5*i +