ve of 0 + 0*w**2 - 3*w - 1/16*w**5 + 1/30*w**6 + 1/12*w**3 - 7/48*w**4. Factor k(m).
m*(m - 2)*(m + 1)*(4*m - 1)/4
Let z(g) = -5*g**3 - g**2 + 6*g - 6. Let h(m) = 6*m**3 + m**2 - 7*m + 7. Let b(l) = -6*h(l) - 7*z(l). Factor b(c).
-c**2*(c - 1)
Let -5*w + 2*w + 2 - 16*w**2 + 4 + 13*w**2 = 0. What is w?
-2, 1
Let u be (-32)/(-40) - (-1 + 1/(-5)). Factor 2/3 + 1/3*q**5 + 2*q**4 + 3*q + 16/3*q**u + 14/3*q**3.
(q + 1)**4*(q + 2)/3
Let w(u) = u**2 + 15*u + 4. Let t be w(-15). Factor -2/7 - 20/7*g**2 + 2/7*g**5 - 10/7*g**t + 10/7*g + 20/7*g**3.
2*(g - 1)**5/7
Let t(g) be the first derivative of 0*g + 0*g**2 + 8/3*g**3 - 6 - 9*g**4. What is m in t(m) = 0?
0, 2/9
Let a be (-23)/(-5) + (-4)/(-10). Factor 3*c**3 - 2*c**3 - c**5 - 2*c**3 + 2*c**a.
c**3*(c - 1)*(c + 1)
Let x(m) be the third derivative of m**10/15120 - m**9/7560 - m**8/3360 + m**7/1260 + m**4/8 - m**2. Let w(y) be the second derivative of x(y). Solve w(o) = 0.
-1, 0, 1
Let f be (-30)/4*(-12)/18. Factor 5*n**3 - f*n**3 - 8 + 2*n**3 + 6*n**2.
2*(n - 1)*(n + 2)**2
Let k(x) be the first derivative of 0*x**2 - x + 1/3*x**3 - 3. What is p in k(p) = 0?
-1, 1
Factor x**2 + 0 - 7/2*x**3 + 2*x**4 + 1/2*x.
x*(x - 1)**2*(4*x + 1)/2
Solve 8/3 - 2/3*j**4 + 2*j**2 - 4/3*j**3 + 16/3*j = 0 for j.
-2, -1, 2
Factor 6/7*r**2 + 1/7*r**4 + 5/7*r**3 - 4/7*r - 8/7.
(r - 1)*(r + 2)**3/7
Let f(j) be the second derivative of -j**4/8 - 2*j**3/3 - 4*j**2/3 - j. Factor f(g).
-(3*g + 4)**2/6
Let k(s) be the first derivative of 0*s**2 + 3 + 1/4*s**4 + 0*s + 1/3*s**3. Determine a, given that k(a) = 0.
-1, 0
Let i(w) be the third derivative of -w**8/70560 - w**7/4410 - w**6/840 + w**5/60 + 6*w**2. Let x(n) be the third derivative of i(n). Factor x(j).
-2*(j + 1)*(j + 3)/7
Let b(n) be the third derivative of -1/80*n**5 + 0 + 0*n - 1/32*n**4 + 0*n**3 - 4*n**2. What is t in b(t) = 0?
-1, 0
Let k be ((-8)/(-12))/(4/786). Let y = k - 653/5. Factor -2/5*t**2 + y + 0*t.
-2*(t - 1)*(t + 1)/5
Let d = -10 + 14. Let h be d/(((-27)/(-6))/3). Determine l so that 2/3*l**3 + 0*l**2 - 2*l**4 + 0 - h*l**5 + 0*l = 0.
-1, 0, 1/4
Suppose -2*k - h - 30 = -4, -2*k = -5*h + 14. Let n be 16/(-6)*18/k. Let -1/3*o**3 - 1/3*o**n + 1/3*o**2 + 1/3*o**5 + 0 + 0*o = 0. What is o?
-1, 0, 1
Factor -8/11*u**4 + 10/11*u**3 + 2/11*u**5 + 0 + 0*u - 4/11*u**2.
2*u**2*(u - 2)*(u - 1)**2/11
Let g = 784 + -8614/11. Suppose 0 - 10/11*o**5 + 0*o + g*o**3 - 4/11*o**2 + 4/11*o**4 = 0. Calculate o.
-1, 0, 2/5, 1
Suppose n + 77 - 79 = 0. Factor -1/5*l**n + 0 - 2/5*l.
-l*(l + 2)/5
Factor 14*p**2 - 2*p**5 - 4*p + 7*p**4 + 3*p**4 + 0*p**5 - 18*p**3.
-2*p*(p - 2)*(p - 1)**3
Factor -3/4*s**4 + 15/4*s**2 + 0 - 3/4*s**3 - 9/4*s.
-3*s*(s - 1)**2*(s + 3)/4
Let j be 1/6*-1 + (-2)/(-3). Factor -j*i**4 - 1/4*i + 1/2*i**2 + 0 + 0*i**3 + 1/4*i**5.
i*(i - 1)**3*(i + 1)/4
Suppose -29 + 44 = 3*z. Let w(a) be the first derivative of -1/2*a**4 - z*a**2 - 8/3*a**3 - 4*a + 3. Factor w(y).
-2*(y + 1)**2*(y + 2)
Let l(w) be the second derivative of 2/3*w**3 - 11/12*w**4 + 0 + 2*w + 3/10*w**5 - 3/2*w**2. Let c(n) be the first derivative of l(n). Factor c(d).
2*(d - 1)*(9*d - 2)
Let z be (-236)/7*(-6)/36. Let r = -30/7 + z. Find c, given that -2*c**3 + 0*c + r*c**2 + 0 = 0.
0, 2/3
Factor -2/11*z**4 + 288/11*z - 128/11 - 194/11*z**2 + 36/11*z**3.
-2*(z - 8)**2*(z - 1)**2/11
Let k(v) = -5*v**4 - 3*v**3 + 2*v**2 - 3. Let p(g) = -4*g**4 - 2*g**3 + 2*g**2 - 2. Let f(r) = -4*k(r) + 6*p(r). Suppose f(n) = 0. Calculate n.
-1, 0, 1
Let j be (((-2)/2)/1)/(-7). Let a(y) be the second derivative of 11/30*y**5 + 2/9*y**4 - j*y**7 + 0 + 0*y**2 - 2/15*y**6 + 3*y - 4/9*y**3. Factor a(z).
-2*z*(z + 1)**2*(3*z - 2)**2/3
Determine b, given that -2/7*b**4 + 0 + 2/7*b**2 - 1/7*b**3 + 0*b + 1/7*b**5 = 0.
-1, 0, 1, 2
Let o(p) be the third derivative of -p**8/26880 + p**7/10080 + p**4/6 + 3*p**2. Let z(t) be the second derivative of o(t). Factor z(u).
-u**2*(u - 1)/4
Suppose -24*q = -29*q + 15. Suppose q*c + 0*c = -2*o, 2*o - 2*c = 10. Solve 2/7*g**5 + 0 + 0*g**o + 4/7*g**2 - 2/7*g - 4/7*g**4 = 0.
-1, 0, 1
Let a(c) be the first derivative of 2*c**7/525 - 2*c**5/75 + 2*c**3/15 - 2*c**2 - 6. Let y(m) be the second derivative of a(m). Solve y(z) = 0 for z.
-1, 1
Let f = 2 - -1. Suppose 0 = -5*j - f*l + 30, -4*j - 7*l = -3*l - 24. Factor 4*u + 2/3 + j*u**2.
2*(3*u + 1)**2/3
Suppose 3*g - 2*g = 4*d - 4, 16 = -4*d. Let i be 8/g + 2/5. Factor 0 - 1/4*r**4 - 1/4*r**3 + 0*r**2 + i*r.
-r**3*(r + 1)/4
Let q be (235/(-20))/((-3)/16). Let z = 64 - q. Let -2/3*x**2 + 2*x - z = 0. What is x?
1, 2
Let u(k) be the third derivative of 0 - 1/8*k**4 - 1/480*k**6 - 1/40*k**5 - 1/3*k**3 - 3*k**2 + 0*k. Determine n, given that u(n) = 0.
-2
Factor 18*a**2 - 6*a + 2 + a - 16*a**2.
(a - 2)*(2*a - 1)
Let f(x) be the first derivative of x**7/70 + 3*x**6/40 + 3*x**5/20 + x**4/8 + x**2 + 4. Let b(r) be the second derivative of f(r). Solve b(c) = 0.
-1, 0
Factor -1/3*c - 2/3 + 1/3*c**2.
(c - 2)*(c + 1)/3
Let v = 9 - 4. Let y(j) be the third derivative of 0*j + 1/12*j**4 + 4/15*j**v + 0 + 0*j**3 - j**2 + 4/15*j**6. Factor y(m).
2*m*(4*m + 1)**2
Let j = -11/19 - -52/57. Let t(u) be the first derivative of 1/18*u**4 + 0*u**3 - j*u**2 + 1 + 4/9*u. Factor t(i).
2*(i - 1)**2*(i + 2)/9
Factor -71*y**5 + 37*y**5 - 6 + 6*y**2 - 9*y + 12*y**3 + 31*y**5.
-3*(y - 2)*(y - 1)*(y + 1)**3
Find s, given that 2/7*s**3 - 6/7*s**2 + 6/7 - 2/7*s = 0.
-1, 1, 3
Find d such that -2/5*d**2 - 2/15*d + 0 + 8/15*d**3 = 0.
-1/4, 0, 1
Let v(t) be the first derivative of 4 + 1/9*t**3 + 1/3*t + 1/3*t**2. Suppose v(z) = 0. Calculate z.
-1
Let s(f) be the first derivative of f**6/360 + f**5/90 + f**4/72 - f**2/2 + 1. Let t(q) be the second derivative of s(q). Factor t(y).
y*(y + 1)**2/3
Factor -11 + 18 - 4*n**2 - 5 + 16*n - 18.
-4*(n - 2)**2
Let x be 3 - ((-4)/(-2))/((-4)/(-6)). Factor 0*o + x - 1/2*o**3 + 1/2*o**2.
-o**2*(o - 1)/2
Let r(s) = -s**2 + 6*s - 3. Let d be r(5). Factor 4*o**4 + 12*o**d - 4*o + 0*o**3 + o**3 - 13*o**3.
4*o*(o - 1)**3
Let w = -4739/3 - -1580. Suppose -1/3*j**3 - w*j**4 + 0*j + 0 + 0*j**2 = 0. What is j?
-1, 0
Let r(q) be the third derivative of q**5/180 + q**4/18 - 2*q**3/3 - 11*q**2. Factor r(j).
(j - 2)*(j + 6)/3
Let f = 436 - 1743/4. Suppose 0*b**2 + 0 + 1/4*b**3 - f*b**4 + 0*b = 0. What is b?
0, 1
Let l(v) be the first derivative of 4*v**6/21 + 24*v**5/35 - v**4/14 - 2*v**3/7 - 25. What is a in l(a) = 0?
-3, -1/2, 0, 1/2
Let h(c) be the first derivative of -c**4/30 + 2*c**3/15 - 4*c - 6. Let u(y) be the first derivative of h(y). Find x such that u(x) = 0.
0, 2
Suppose 3*d - 12 = 2*d. Suppose -5*l + d = 2. Factor -l*f**5 + 4*f**4 + 3*f**3 - 3*f**3 - 2*f**3.
-2*f**3*(f - 1)**2
Let r(b) be the third derivative of 2*b**7/945 - b**6/135 - b**5/135 + b**4/27 - 5*b**2. Solve r(n) = 0.
-1, 0, 1, 2
Let q(k) be the second derivative of k**9/22680 + k**8/2520 + k**7/756 + k**6/540 + k**4/4 - k. Let m(t) be the third derivative of q(t). Factor m(a).
2*a*(a + 1)**2*(a + 2)/3
Let y be (-62)/(-1)*(-55)/10. Let u = y + 3073/9. Factor 0 + u*d**2 + 2/9*d**4 + 0*d - 2/3*d**3.
2*d**2*(d - 2)*(d - 1)/9
Let h(g) be the second derivative of 3*g**6/70 + g**5/70 + 31*g. Solve h(u) = 0.
-2/9, 0
Find l, given that -1/3 + l**4 - l + 1/3*l**5 - 2/3*l**2 + 2/3*l**3 = 0.
-1, 1
Suppose -4*o + 2*h = 7*h, o = h. Solve 1/4*f**2 - f**5 - 3/2*f**3 + 9/4*f**4 + 0 + o*f = 0 for f.
0, 1/4, 1
Let m(k) be the second derivative of k**8/7560 + k**7/3780 - k**6/3240 + k**4/12 + k. Let i(q) be the third derivative of m(q). Solve i(y) = 0 for y.
-1, 0, 1/4
Suppose 0 = -3*o + 2*f + 34, -4*o = -2*f - 30 - 16. Factor 17*r - 5*r**3 - 16 + 7*r + 7*r**3 - o*r**2.
2*(r - 2)**3
Let j(t) = -3*t - 4. Let o be j(-2). Factor 2/3 - 4/3*k**3 + 2/3*k**o - 4/3*k**4 + 5/3*k - 1/3*k**5.
-(k - 1)*(k + 1)**3*(k + 2)/3
Let x(r) be the first derivative of 0*r**2 + 0*r - 1/2*r**4 + 2 - 4/3*r**3. Factor x(g).
-2*g**2*(g + 2)
Solve -y**3 + 4*y**3 + 14*y + 15*y**2 + 4*y = 0 for y.
-3, -2, 0
Let k(r) be the second derivative of -r**8/1512 + r**7/945 + r**6/540 - r**5/270 + 7*r**2/2 - 2*r. Let s(m) be the first derivative of k(m). Solve s(c) = 0.
-1, 0, 1
Factor 2*b**3 - 3*b**2 + 0*b**2 + 2*b**2 - 3*b**2.
2*b**2*(b - 2)
Let v = -2/473 + 487/3311. Factor 0 - 1/7*z**2 - v*z.
-z*(z + 1)/7
Let h(a) be the second derivative 