 2/5*z**g + 0 = 0. Calculate z.
-1, 0, 2
Let l = 42/25 + -194/175. Factor 2/7*j**2 - l + 2/7*j.
2*(j - 1)*(j + 2)/7
Let d(x) be the third derivative of -5/24*x**4 - 1/15*x**5 - 1/6*x**3 + 0*x - 2*x**2 + 0. Factor d(v).
-(v + 1)*(4*v + 1)
Suppose 0 = -0*j + j, -5*p = -j. Factor 0 - 2/7*v**4 + 0*v + p*v**3 + 2/7*v**2.
-2*v**2*(v - 1)*(v + 1)/7
Let c(n) be the third derivative of 0*n + 0*n**3 + 1/18*n**4 + 0 - 1/90*n**6 + 1/90*n**5 + 4*n**2 - 1/315*n**7. Factor c(y).
-2*y*(y - 1)*(y + 1)*(y + 2)/3
Let z(l) be the third derivative of -l**5/60 - 5*l**4/12 - 25*l**3/6 + 8*l**2. Let z(x) = 0. What is x?
-5
Let k = 5 - 3. Suppose -k*n + 14 = -2*m, -n - m = 4*m + 23. Factor d + 2 - d**3 + d**n - 3 + 0*d**3.
-(d - 1)**2*(d + 1)
Let a(o) be the third derivative of -o**5/12 - 5*o**4/24 + 5*o**3/3 - 2*o**2 - 13. Let a(f) = 0. Calculate f.
-2, 1
Let m(k) = -k**3 - k**2. Let w = 0 + -2. Let t(z) = -z**2 - z. Let s be (-6)/(-3)*(0 + 1). Let o(d) = s*t(d) + w*m(d). Factor o(a).
2*a*(a - 1)*(a + 1)
Let q(m) = -32*m**4 + 21*m**3 + 30*m**2 - 13*m + 5. Let a(x) = 96*x**4 - 62*x**3 - 90*x**2 + 40*x - 14. Let y(g) = -5*a(g) - 14*q(g). Factor y(h).
-2*h*(h + 1)*(4*h - 3)**2
Let s = -2 + 2. Let f(g) = 1 + s - g**2 + 0*g**2. Let d(a) = -a**2 + 1. Let k(i) = -3*d(i) + 2*f(i). Suppose k(m) = 0. Calculate m.
-1, 1
Let 0*x - 1/4 + 1/4*x**2 = 0. What is x?
-1, 1
Factor -2/7*r**3 + 6/7*r**4 + 0 + 0*r + 0*r**2.
2*r**3*(3*r - 1)/7
Determine g, given that -5*g**3 + 0*g**2 + 6*g**2 + 0*g**2 - 3*g**4 + 2*g**3 = 0.
-2, 0, 1
Find n such that -15*n**2 - 275*n + 250 - 22*n**3 + 7*n**3 + 79*n**3 + 5*n**4 - 29*n**3 = 0.
-5, 1, 2
Let z(a) be the third derivative of -1/24*a**4 - 1/30*a**5 + 0 + 0*a - 1/120*a**6 + 5*a**2 + 0*a**3. Factor z(d).
-d*(d + 1)**2
Let i = -20 + 23. Let h be ((-20)/25)/(i/(-15)). Find b such that 0 + 0*b + 1/2*b**2 + 1/2*b**h + b**3 = 0.
-1, 0
Suppose 0 = -14*f + 10*f + 8. Determine s so that 0*s - 8/9 + 2/9*s**3 + 2/3*s**f = 0.
-2, 1
Let l be 114/27 - 2/9. Factor -6*r**5 + 0*r**2 + 0*r**5 + 0*r**2 - 4*r**l.
-2*r**4*(3*r + 2)
Find d such that -4/7*d**4 - 4/7 + 2/7*d**5 + 2/7*d - 4/7*d**3 + 8/7*d**2 = 0.
-1, 1, 2
Suppose -49 = -10*w + 3*w. Suppose -4*i = -5*v - w - 21, 0 = -5*v - 20. Factor -1/5*z**3 - 1/5*z**4 + 1/5*z + 1/5*z**i + 0.
-z*(z - 1)*(z + 1)**2/5
Let u(s) = 4*s**2 + 42*s - 19. Let l be u(-11). Solve -3/7*o**l + 9/7*o + 6/7 + 0*o**2 = 0 for o.
-1, 2
Suppose 6 = 54*v - 51*v. Factor 2/5*o**v - 2/5*o + 0.
2*o*(o - 1)/5
Let j(x) = -x**2 - 12*x + 45. Let s be j(-15). Find n such that 8/5*n**5 - 14/5*n**3 - 2/5*n**2 + 6/5*n + s*n**4 + 2/5 = 0.
-1, -1/2, 1
Let a(j) = 4*j - 12. Let t be a(3). Factor t*p**3 + 1/5*p**4 + 0 + 1/5*p**5 + 0*p**2 + 0*p.
p**4*(p + 1)/5
Suppose -1 = r + 5. Let b be (-3)/r*(-2 - -2). Let 3*c - 5*c - 1 - c**2 + 0 + b*c = 0. Calculate c.
-1
Let x be (26/(-4))/((-3)/12). Find q, given that -26*q**2 + x*q**2 - 2*q + 2*q**3 = 0.
-1, 0, 1
Let p(j) be the third derivative of -1/6*j**4 - 2*j**2 + 0*j + 1/6*j**3 + 0 - 1/60*j**5 + 1/30*j**6. Factor p(n).
(n - 1)*(n + 1)*(4*n - 1)
Let b(f) be the third derivative of -2*f**2 + 0 + 1/9*f**4 + 0*f - 1/315*f**7 + 1/45*f**6 - 1/15*f**5 - 1/9*f**3. Solve b(z) = 0 for z.
1
Factor -4/7*f + 12/7*f**2 + 0 - 8/7*f**3.
-4*f*(f - 1)*(2*f - 1)/7
Let r(p) be the third derivative of p**5/20 + 17*p**4/4 + 289*p**3/2 + 46*p**2. Let r(j) = 0. Calculate j.
-17
Let t(d) be the first derivative of -d**8/840 + d**7/105 - d**6/45 - 5*d**3/3 - 2. Let v(n) be the third derivative of t(n). Solve v(f) = 0 for f.
0, 2
Let n(k) be the first derivative of -k**3/15 - k**2/5 - k/5 + 6. Factor n(a).
-(a + 1)**2/5
Factor -3/2*c - 3/4 + 9/4*c**2.
3*(c - 1)*(3*c + 1)/4
Let s(o) be the first derivative of 2/5*o**2 + 12/5*o**4 + 32/25*o**5 + 0*o + 5 - 2*o**3. Factor s(x).
2*x*(x + 2)*(4*x - 1)**2/5
Let d(i) = -6*i**2 + 3*i - 2. Let k(v) = -v**2 + v - 1. Let h = 12 - 17. Let t(a) = h*k(a) + d(a). Find w such that t(w) = 0.
-3, 1
Let m be (-1)/((3/(-2))/3). Suppose -4*a + 4 = -m*a. Suppose 1/3*d**a + 0 + 1/3*d = 0. Calculate d.
-1, 0
Let s(c) = c + 3. Let f be s(-2). Let h(a) be the first derivative of 0*a**2 + f + 0*a - 2/27*a**3. Factor h(q).
-2*q**2/9
Let p(q) be the third derivative of q**5/180 + q**4/9 + 8*q**3/9 - 8*q**2. Factor p(o).
(o + 4)**2/3
Let i(h) be the second derivative of 2*h**6/15 - 3*h**5/5 - h**4/3 + 2*h**3 - 7*h. Suppose i(g) = 0. What is g?
-1, 0, 1, 3
Let b(l) = 4*l**3 - 7*l**2 - 3*l + 18. Let w(z) = 15*z**3 - 27*z**2 - 12*z + 72. Let k(v) = 22*b(v) - 6*w(v). Factor k(u).
-2*(u - 3)**2*(u + 2)
Let k(d) = 4*d**3 - 4*d**2 + d + 3. Suppose 3*s = 1 + 5. Let i(f) = 5 + f**3 - f - 2 - 2 - f**2 + s*f. Let c(v) = -6*i(v) + 2*k(v). Let c(q) = 0. Calculate q.
-1, 0, 2
Suppose 1 = 5*i + d - 0, 4*i + 2*d = 2. Suppose 3*v + 3 - 12 = i. Suppose 0*a**v - 1/4*a**4 + 1/2*a**2 + 0*a - 1/4 = 0. Calculate a.
-1, 1
Suppose 3*l - 24 + 23 = -4*w, -2*l = 10. What is k in -1/3 - 13/6*k**3 + 4/3*k**2 + 7/6*k - 2*k**w = 0?
-1, 1/4, 2/3
Let w = -2 + 4. Determine m, given that 4*m**2 + 5*m - 11*m - 6 + w + 6*m**3 = 0.
-1, -2/3, 1
Let n(a) be the second derivative of a**8/6720 - a**7/1680 + a**6/1440 - 4*a**3/3 + 6*a. Let d(g) be the second derivative of n(g). Factor d(v).
v**2*(v - 1)**2/4
Let f(r) = -7*r + 2. Let w(l) = 3*l - 1. Let s(z) = 4*f(z) + 9*w(z). Let d be s(-1). Factor 2/7*x + d - 2/7*x**2.
-2*x*(x - 1)/7
Let u be (13/78)/(4/6). Factor -1/4*g + u*g**3 - 1/4*g**4 + 3/4*g**2 - 1/2.
-(g - 2)*(g - 1)*(g + 1)**2/4
Let z(q) = q**2 + 3*q - 3. Let b be z(3). Factor -48*x**4 - 9*x**5 + b*x**2 - 12*x**5 - 12*x**3 - 15*x**2.
-3*x**3*(x + 2)*(7*x + 2)
Let h be (-4 + 5)*7/28. What is p in 0*p**2 + 1/4*p + 0 - h*p**3 = 0?
-1, 0, 1
Let o be (-1)/(-18)*3*9. What is z in -9/4*z + 3/4*z**2 + o = 0?
1, 2
Let z(f) be the third derivative of f**7/4200 + f**6/1800 + 2*f**3/3 + f**2. Let x(t) be the first derivative of z(t). Determine u, given that x(u) = 0.
-1, 0
Let f(x) = 2*x + 6. Let w be f(4). Let t be 2*(-3)/(2 - w). Let -1/2*h**4 - t*h**5 + 0*h**3 + 0*h + 0 + 0*h**2 = 0. Calculate h.
-1, 0
Determine m, given that -1/3*m**2 + 1/6 + 1/6*m = 0.
-1/2, 1
Suppose -15*g**2 - 2*g**4 + 23 + 2 + 73*g - 8*g**4 - 18*g - 55*g**3 = 0. Calculate g.
-5, -1, -1/2, 1
Factor -59*a**2 + 13*a**3 - 3 + 7*a**3 + 4*a**2 + 13 + 25*a.
5*(a - 2)*(a - 1)*(4*a + 1)
Suppose -3*d - 6*d = 0. Let p(n) be the second derivative of d*n**4 + 0 + 1/75*n**6 - 4*n + 1/50*n**5 + 0*n**3 + 0*n**2. Determine v, given that p(v) = 0.
-1, 0
Let x(v) be the second derivative of v**6/45 - v**5/15 + 2*v**3/9 - v**2/3 - v. Factor x(k).
2*(k - 1)**3*(k + 1)/3
Let z(y) = -y**2 + 11*y + 3. Let s be z(11). Determine b, given that 15*b**s - 10*b**2 - 18*b**4 + 4*b**5 + 3*b**3 + 2*b + 4*b**4 = 0.
0, 1/2, 1
Let l(i) be the third derivative of 5*i**8/336 - i**7/42 - 3*i**2. Let l(v) = 0. What is v?
0, 1
Let i be 1/(-2) + 1 + 4 + -4. Find g such that 0*g - 1/2*g**2 + i = 0.
-1, 1
Let p = 173/679 + 3/97. Solve -2/7*u**3 - 4/7*u**2 - p*u + 0 = 0.
-1, 0
Let -4/3*g + 0 + 2/3*g**2 = 0. What is g?
0, 2
Factor -6/11*r - 4/11*r**2 + 4/11*r**3 - 2/11 + 6/11*r**4 + 2/11*r**5.
2*(r - 1)*(r + 1)**4/11
Factor 3*r**4 - 5*r**3 + 12*r + 1 + 3*r**3 - 4*r**3 + 11 - 9*r**2.
3*(r - 2)**2*(r + 1)**2
Suppose 5*l + 5 = 5*r, 3*l + 4 = 13. Suppose -4*u - 2*h = -3*u - r, u = 2*h + 4. Let -2/5*y + 0 - 2/5*y**u + 2/5*y**2 + 2/5*y**3 = 0. Calculate y.
-1, 0, 1
Let i(x) be the second derivative of -81*x**5/40 - 27*x**4/4 + x**3/3 + 2*x**2 - x. Factor i(o).
-(o + 2)*(9*o - 2)*(9*o + 2)/2
Let q(o) be the second derivative of -2*o**2 - 2*o + o**3 - 1/6*o**4 + 0. Factor q(t).
-2*(t - 2)*(t - 1)
Factor d + 0 + 1/3*d**2.
d*(d + 3)/3
Determine s so that -18/5*s**4 - 2/5*s + 2*s**2 - 6/5*s**3 + 0 = 0.
-1, 0, 1/3
Factor 7*h**3 - 5*h**3 + 3*h**3 - 2 - 2*h - 3*h**3 + 2*h**2.
2*(h - 1)*(h + 1)**2
Let v(x) be the third derivative of 0 + x**2 + 0*x + 1/2*x**3 + 0*x**4 - 1/60*x**5 - 1/180*x**6. Let n(g) be the first derivative of v(g). Factor n(b).
-2*b*(b + 1)
Let b(w) be the third derivative of w**5/30 - w**4/12 - 12*w**2. Factor b(z).
2*z*(z - 1)
Let g = 230/3 + -76. Let l(u) be the first derivative of 1 - g*u - 1/9*u**3 - 1/2*u**2. Factor l(m).
-(m + 1)*(m + 2)/3
Factor 4*f**2 - 6*f - 5*f**2 + 3 + f - 7.
-(f + 1)*(f + 4)
Let z = 536 + -297. 