*4/44 - 105/(-33). Let x(h) be the third derivative of 0*h**3 + 0*h**4 + 0 + r*h**2 + 0*h + 1/240*h**5 + 1/480*h**6. What is n in x(n) = 0?
-1, 0
Factor 0 + 3*z + 1/3*z**4 + 11/3*z**3 + 19/3*z**2.
z*(z + 1)**2*(z + 9)/3
Let j be 1/(-2)*(32/20)/(-2). Find w, given that 0 + 0*w + 2/5*w**4 - 4/5*w**3 + j*w**2 = 0.
0, 1
Let o(b) be the first derivative of -5*b**6/4 + 3*b**5/5 + 9*b**4/8 + 13. Factor o(c).
-3*c**3*(c - 1)*(5*c + 3)/2
Let k(j) = 62*j**4 - 193*j**3 + 25*j**2 + 193*j + 47. Let i(f) = f**4 + f**3 - f**2 - f + 1. Let h(x) = i(x) + k(x). What is g in h(g) = 0?
-2/3, -2/7, 2
Let u(j) be the third derivative of -1/1344*j**8 + 0*j**3 - 5*j**2 + 0 + 0*j**4 - 1/840*j**7 + 1/480*j**6 + 0*j + 1/240*j**5. Factor u(b).
-b**2*(b - 1)*(b + 1)**2/4
Let c = -1168 + 1172. Factor -2/9*h**c + 4/9*h**3 + 4/9*h**2 - 2/9 - 2/9*h**5 - 2/9*h.
-2*(h - 1)**2*(h + 1)**3/9
Let o = 191/5 + -38. Solve 2/5 + o*k**3 + 4/5*k**2 + k = 0 for k.
-2, -1
Solve 0 - 1/6*i**4 + 0*i**3 + 1/2*i**2 - 1/3*i = 0 for i.
-2, 0, 1
Suppose 0 = -0*h - 4*h - 5*v - 155, v - 230 = 5*h. Let g be h/(-105) + (-47)/(-21). Factor -4/3*m**3 - g + 8/3*m - 2/3*m**4 + 2*m**2.
-2*(m - 1)**2*(m + 2)**2/3
Let x be ((-3)/(-130))/((-27)/(-252)). Let j(y) be the second derivative of 0*y**2 + 0*y**3 + 0 + 49/195*y**6 + 2/39*y**4 + x*y**5 + 2*y. Factor j(r).
2*r**2*(7*r + 2)**2/13
Factor 2/9*s**3 - 2/9*s**2 + 0*s + 0.
2*s**2*(s - 1)/9
Let j(z) be the second derivative of -2*z**6/15 + 3*z**5/5 - z**4/3 - 2*z**3 + 4*z**2 - 3*z. Factor j(o).
-4*(o - 2)*(o - 1)**2*(o + 1)
Let g(w) be the third derivative of 5*w**10/3024 + 5*w**9/1008 + w**8/168 + w**7/315 + w**5/30 + 2*w**2. Let x(l) be the third derivative of g(l). Factor x(n).
2*n*(5*n + 2)**3
Let x(h) be the third derivative of 1/84*h**4 - 1/420*h**6 - 4*h**2 + 0*h + 0*h**3 + 0 + 0*h**5. Determine b, given that x(b) = 0.
-1, 0, 1
Let a(o) be the first derivative of -o**4/3 - 16*o**3/9 - 10*o**2/3 - 8*o/3 - 12. Solve a(l) = 0.
-2, -1
Let t(l) be the third derivative of -l**8/84 - 4*l**7/105 - l**6/30 - 5*l**2. Solve t(r) = 0.
-1, 0
Suppose -17*d = -21*d + 64. Find l, given that -50/3*l**3 + 30*l**2 + 8/3 - d*l = 0.
2/5, 1
Let m(p) be the first derivative of p**4/30 + p**3/10 + p**2/10 + 3*p + 1. Let r(g) be the first derivative of m(g). Factor r(f).
(f + 1)*(2*f + 1)/5
Let f(b) be the first derivative of b**3 + 9*b**2/2 - 12*b - 11. Factor f(q).
3*(q - 1)*(q + 4)
Let l(r) = -r - 3. Let q be l(-5). Suppose 0 = 2*g + q*g. Factor -2/3*u - 1/3*u**2 + g.
-u*(u + 2)/3
Let c = -1 - -4. Factor 12*l + 10 + 3*l**2 + 8 - 3 - c.
3*(l + 2)**2
Factor -4 - 25*n**2 + 0 + 17*n**2 + 12*n**2.
4*(n - 1)*(n + 1)
Let -2/11*p**4 - 24/11*p**2 + 20/11*p + 12/11*p**3 - 6/11 = 0. Calculate p.
1, 3
Let w(l) be the third derivative of l**8/504 - l**7/105 + l**6/135 - 5*l**3/6 + 4*l**2. Let f(h) be the first derivative of w(h). Factor f(a).
2*a**2*(a - 2)*(5*a - 2)/3
Let n(a) be the first derivative of -2/33*a**3 - 3/11*a**2 + 3 - 4/11*a. Factor n(f).
-2*(f + 1)*(f + 2)/11
Let d(a) = 2*a + 3. Let q be d(11). Let -14*s**3 + 46*s**2 - 14*s + 8 - 7*s + 6*s - q*s = 0. Calculate s.
2/7, 1, 2
Let r = 16 - 8. Let n(b) = 96*b**3 - 16*b**2 - 23*b - 4. Let u(a) = -288*a**3 + 48*a**2 + 70*a + 12. Let d(x) = r*n(x) + 3*u(x). Suppose d(p) = 0. Calculate p.
-1/4, 2/3
Solve 3*q**2 + 22*q - 6 - 19*q + 0 = 0.
-2, 1
Suppose 5*v + 25 = 5*x, 2*x - 3*v + 5 = 3*x. Factor -3*g**2 + 2*g**2 - 5*g**3 + g**4 + x*g**3.
g**2*(g - 1)*(g + 1)
Let i be (4/5)/((-4)/(-20)). Find s, given that 2*s**3 - s**5 + s - 2*s**i + 3*s**4 + 2 - 2*s**2 - 2*s - 1 = 0.
-1, 1
Let o(h) be the first derivative of -h**4/6 - 8*h**3/9 - 5*h**2/3 - 4*h/3 - 1. Factor o(w).
-2*(w + 1)**2*(w + 2)/3
Suppose -2*o - 2358 = 5*d, -2*o - 3*d = -1219 + 3585. Let c = o + 10715/9. Find g such that 0*g - 32/9*g**4 - 22/9*g**3 - 4/9*g**2 + 0 - c*g**5 = 0.
-1, -2/7, 0
Suppose -39 = -18*y + 33. Factor -1/5*f**y + 0*f**2 + 0*f + 0 + 1/5*f**5 + 0*f**3.
f**4*(f - 1)/5
Let k(g) = 5*g**3 - g + 1 - 2*g**3 - 1. Let s be k(1). Find z, given that 3*z**4 - z**3 + z**5 + 2*z**3 + z**s + 2*z**3 = 0.
-1, 0
Let j(i) be the third derivative of -i**6/320 + i**4/64 - 9*i**2. Factor j(h).
-3*h*(h - 1)*(h + 1)/8
Let t(r) = -2*r**4 + 10*r**3 - 10*r**2 + 4. Let v(w) = w**3 + w**2. Let l(o) = t(o) - v(o). Determine b, given that l(b) = 0.
-1/2, 1, 2
Let d(q) be the first derivative of -1/5*q**3 + 2 + 0*q - 3/5*q**2. Let d(w) = 0. Calculate w.
-2, 0
Let w(p) be the first derivative of p**3/3 - 2*p**2 + 2*p + 2. Let b be w(4). Find l such that 1/3*l**3 + 2/3*l**4 + 0 - 1/3*l - 2/3*l**b = 0.
-1, -1/2, 0, 1
Let l(i) be the first derivative of -i**4/6 - 2*i**3/9 + 2*i**2/3 + 4. What is p in l(p) = 0?
-2, 0, 1
Let g(d) be the second derivative of d**7/336 + 7*d**6/240 + 3*d**5/32 + 3*d**4/32 + 4*d. Factor g(f).
f**2*(f + 1)*(f + 3)**2/8
Let j(o) = 17*o**4 + 13*o**3 + 9*o**2 - 13. Let k(c) = -4*c**4 - 3*c**3 - 2*c**2 + 3. Let p(g) = 6*j(g) + 26*k(g). Factor p(l).
-2*l**2*(l - 1)*(l + 1)
Let o(b) = 3*b - 67. Let d be o(23). Factor -6/7*j**3 + 0 + 4/7*j**d + 2/7*j.
-2*j*(j - 1)*(3*j + 1)/7
Let 0 + 4/7*m**2 + 2/7*m + 2/7*m**3 = 0. Calculate m.
-1, 0
Factor 42 - 10 + 46*d**2 - 88*d - 10*d**2.
4*(d - 2)*(9*d - 4)
Let l(p) be the first derivative of 6/25*p**5 + 2 + 2/15*p**6 + 0*p + 0*p**4 - 2/15*p**3 + 0*p**2. Suppose l(j) = 0. What is j?
-1, 0, 1/2
Determine g, given that 0*g**4 - 5*g**2 - 10*g**5 + 4*g**4 + 11*g**4 - 10*g**4 + 10*g**3 = 0.
-1, 0, 1/2, 1
Determine m so that 2*m**4 - 12*m**3 + 24*m**2 + 124*m - 72*m - 68*m = 0.
0, 2
Let y = -15 - -17. Let r(s) be the second derivative of 1/14*s**4 - s + 0*s**y + 0 + 2/21*s**3 + 1/15*s**6 - 6/35*s**5. Suppose r(m) = 0. Calculate m.
-2/7, 0, 1
Let m = 347/36 - 35/4. Factor -4/9*a**2 + 0*a - m*a**4 + 2/9*a**5 + 0 + 10/9*a**3.
2*a**2*(a - 2)*(a - 1)**2/9
Suppose -8 = -5*i + 2. Suppose 0 = 2*n - i*b + 2, b - 15 = -n - 2*b. Factor 0*v**2 + 0 + 2/5*v - 2/5*v**n.
-2*v*(v - 1)*(v + 1)/5
Let a(r) be the third derivative of r**7/630 - r**6/90 + r**5/30 - r**4/18 + r**3/18 + 18*r**2. Factor a(g).
(g - 1)**4/3
Let t(v) be the first derivative of v**3 + 3*v**2/2 + 7. Factor t(j).
3*j*(j + 1)
Let z(h) be the third derivative of 0*h + 1/84*h**4 + 1/210*h**5 - 4*h**2 + 0*h**3 + 0. Find b such that z(b) = 0.
-1, 0
Let b(r) be the second derivative of r**9/9072 - r**8/5040 - 5*r**3/6 + r. Let g(w) be the second derivative of b(w). Factor g(m).
m**4*(m - 1)/3
Let c(z) be the first derivative of 2/3*z**3 - 4 + 2*z - 2*z**2. Determine l so that c(l) = 0.
1
Let x(p) be the third derivative of -p**9/60480 + p**8/26880 + p**7/10080 - p**6/2880 + p**4/6 + 2*p**2. Let g(m) be the second derivative of x(m). Factor g(y).
-y*(y - 1)**2*(y + 1)/4
Let a(p) be the third derivative of p**8/1680 - 2*p**7/525 + p**6/300 + p**5/75 - p**4/40 + p**2. Let a(m) = 0. What is m?
-1, 0, 1, 3
Factor -30*j + 3*j**2 + 71 + 28 - 24.
3*(j - 5)**2
Let m be 117/(-156)*16/(-6). Factor c + 5/2*c**m + 0.
c*(5*c + 2)/2
Let z(r) be the first derivative of -2*r**6/3 - 12*r**5/5 - 2*r**4 + 8*r**3/3 + 6*r**2 + 4*r - 2. Factor z(b).
-4*(b - 1)*(b + 1)**4
Let j = 14 - 10. Suppose -4*l = 3*v - 7 + 3, -4 = -2*v - j*l. Factor v*g**2 + 4 - 2*g**2 + 2*g**2 - 2*g**2 - 2*g.
-2*(g - 1)*(g + 2)
Let d(t) = t**2 - 4. Suppose 2*a - 3 = 1. Let w(i) = 2*i**2 + i**2 + 1 + a - 4*i**2. Let s(m) = -3*d(m) - 4*w(m). Solve s(y) = 0 for y.
0
Let c(a) be the first derivative of a**6/27 - a**4/9 + a**2/9 - 3. Factor c(o).
2*o*(o - 1)**2*(o + 1)**2/9
Let l(q) = 2*q**4 + 2*q**3 - 3*q - 3. Let s(p) = 2*p - 7. Let b be s(5). Let t(z) = z**4 + z**3 - 2*z - 2. Let f(g) = b*t(g) - 2*l(g). Factor f(h).
-h**3*(h + 1)
Let w(g) be the second derivative of g**5/80 + g**4/24 - g**3/24 - g**2/4 + 27*g. Let w(j) = 0. What is j?
-2, -1, 1
Let 0 + 2/9*y + 2/9*y**2 - 2/9*y**4 - 2/9*y**3 = 0. What is y?
-1, 0, 1
Let t be ((-126)/4)/7 - -3. Let n = t - -2. Factor 1/2*c**4 + 0 + c**3 + 0*c + n*c**2.
c**2*(c + 1)**2/2
Let a(y) = 4*y**5 + 6*y**4 + 14*y**3 + 6*y**2. Let r(z) = -17*z**5 - 23*z**4 - 57*z**3 - 23*z**2 + z. Let l(t) = 9*a(t) + 2*r(t). Factor l(i).
2*i*(i + 1)**4
Determine t, given that -80/9*t - 64/9*t**2 - 25/9 = 0.
-5/8
Let v(d) be the second derivative of 0*d**2 + 1/6*d**4 + 3*d + 1/5*d**6 + 1/21*d**7 + 0*d**3 + 0 + 3/10*d*