+ 0 + 1/24*t**4. Factor n(l).
l**2*(l + 1)/2
Suppose -5*q = -3*b - 16, 3*b + 10 = 4. Suppose -n = 3*h - 7, -4*n = 3*h - 7*h - 12. Factor -6*u**2 + n*u + 0*u**3 - u**q - 3*u**3 - 6*u.
-u*(u + 2)*(3*u + 1)
Let a(r) be the first derivative of r**3 - 3*r**2/2 + 6. Solve a(i) = 0 for i.
0, 1
Let b(g) be the second derivative of -g**4/12 - g**3/6 + g**2/2 - g. Let x(h) = -8*h**2 - 5*h + 7. Let y(o) = 14*b(o) - 2*x(o). Suppose y(i) = 0. What is i?
0, 2
Let b be 0/((-3)/((-12)/(-8))). Factor -2/5*v**2 + 2/5*v**3 + 0*v - 2/5*v**5 + b + 2/5*v**4.
-2*v**2*(v - 1)**2*(v + 1)/5
Let j(x) = x**5 + x**4 + x**3 - x - 1. Let z = 3 + -2. Let s(w) = -5*w**5 - 9*w**4 - 4*w**3 + 2*w**2 + 3*w + 7. Let o(a) = z*s(a) + 6*j(a). Factor o(v).
(v - 1)**4*(v + 1)
Let y(s) be the second derivative of -s**10/75600 - s**9/18900 - s**8/16800 + s**4/4 - 6*s. Let b(z) be the third derivative of y(z). Factor b(c).
-2*c**3*(c + 1)**2/5
Let z(y) be the third derivative of y**7/105 - y**6/20 + y**5/30 + y**4/4 - 2*y**3/3 - y**2. Let z(c) = 0. Calculate c.
-1, 1, 2
Let p be 3 - (1 - -1)/(40/55). Solve 1/4*l**2 - p*l**3 + 1/4*l - 1/4 = 0.
-1, 1
Let w = 53/111 + 7/37. Determine t so that w*t**2 + 0*t - 2/3 = 0.
-1, 1
Let r(y) be the third derivative of y**5/30 - 3*y**4/4 + 8*y**3/3 + y**2 + 3*y. Find j such that r(j) = 0.
1, 8
Suppose -5*u + 3*c = -12, 2*u + 5*c = 7*c + 8. Let d = -31 + 63/2. Solve -1/2*t**5 + 0*t**2 + 0*t**4 + u - d*t + t**3 = 0 for t.
-1, 0, 1
Let y(j) be the third derivative of 1/510*j**5 - 1/102*j**4 + 1/51*j**3 + 0*j + 0 - 2*j**2. Determine u so that y(u) = 0.
1
Let p(t) be the first derivative of 2*t**3/23 - 8*t**2/23 - 6*t/23 - 21. Factor p(a).
2*(a - 3)*(3*a + 1)/23
Let c = -1 - -3. Factor 7*y + 8 - 3*y - 2*y + c*y**2 + 6*y.
2*(y + 2)**2
Let t be 2*(0 + (-7)/(-35)). Suppose -4/5 - 6/5*a - t*a**2 = 0. What is a?
-2, -1
Let j be (-3)/6 + 20/8. Find g, given that -2*g**j - 4*g + 22 - 22 = 0.
-2, 0
Suppose -l - 25 = -6*l. Suppose 3*b = 2*z + 4 + 2, -b + 3*z - l = 0. Suppose 0*h**4 + 2*h**2 + 2*h**b - 4*h**2 = 0. What is h?
-1, 0, 1
Let z(b) = b**2 + 6. Let s(m) = -4 - 2 + 2 - 2*m**2 + m**2. Let x(o) = -7*s(o) - 5*z(o). Factor x(k).
2*(k - 1)*(k + 1)
Let f be 8/(-52) - 28/(-13). Factor 4*b - 8*b**2 - 3*b + f*b**3 + 7*b.
2*b*(b - 2)**2
Let x(k) be the third derivative of k**7/105 + k**6/240 - k**5/10 - 11*k**4/48 - k**3/6 + 22*k**2. Find s such that x(s) = 0.
-1, -1/4, 2
Let w(z) be the second derivative of 1/15*z**6 + 0*z**2 + 1/6*z**4 - z + 0*z**3 + 0 + 1/5*z**5. Factor w(x).
2*x**2*(x + 1)**2
Factor -5*f**4 + 17*f**2 - 2 - 7*f**2 + 5*f**3 + 2.
-5*f**2*(f - 2)*(f + 1)
Let i(f) be the first derivative of f**4/10 - 4*f**3/15 - f**2/5 + 4*f/5 + 22. Find m, given that i(m) = 0.
-1, 1, 2
Suppose 0 = 619*o - 616*o. Suppose 1/4*z**2 - 1/4 + o*z = 0. Calculate z.
-1, 1
Suppose 3*s + 6 = 6*s. Factor -1/3*v**s - 1/3 - 2/3*v.
-(v + 1)**2/3
Let v(m) be the first derivative of m**2 + 1/2*m**6 - 11/5*m**5 + 0*m + 2 + 15/4*m**4 - 3*m**3. Factor v(t).
t*(t - 1)**3*(3*t - 2)
Let k be (9 - 6) + 306/(-4). Let r = 75 + k. Determine a, given that 3/2*a**2 + 1/2*a + r*a**3 + 1/2*a**4 + 0 = 0.
-1, 0
Determine v, given that -3*v + 0*v**2 - 4*v**3 + 3*v - 4*v**2 = 0.
-1, 0
Factor 60/7 - 18/7*u**2 - 78/7*u.
-6*(u + 5)*(3*u - 2)/7
Let q be (3 + -11 - 0) + 1. Let g = q - -7. Let 2/5*x - 4/5*x**2 + g + 2/5*x**3 = 0. What is x?
0, 1
Let h be -3 + 69/21 - (-128)/42. Find w, given that -2/3*w + 0 + h*w**2 - 8/3*w**3 = 0.
0, 1/4, 1
Let c = 239/1050 + -16/75. Let y(k) be the third derivative of -3*k**2 + 0*k + 1/4*k**4 + 0*k**5 - c*k**7 + 1/2*k**3 - 1/20*k**6 + 0. Factor y(g).
-3*(g - 1)*(g + 1)**3
Let p be 4/(-3) - 48/(-27). Solve -2/9*h**2 - 2/9 - p*h = 0.
-1
Let x be ((-2)/5)/((-22)/10) + 0. What is p in -x*p**2 + 6/11*p + 0 = 0?
0, 3
Let x = 33 - 28. Let h(a) be the first derivative of 0*a + 0*a**2 + 0*a**4 - 2/35*a**x + 1 + 0*a**3 + 1/21*a**6. Let h(v) = 0. Calculate v.
0, 1
Suppose -3*h = -h - 5*i - 9, 5*h = 5*i + 15. Suppose v = -2*k + 5, -k = -v - h*v + 8. Find a such that -2/11*a**4 + 2/11*a**2 + 2/11*a**v - 2/11*a + 0 = 0.
-1, 0, 1
Factor -2*h**3 + 0*h**2 + 0*h + 0 + 1/3*h**5 + 1/3*h**4.
h**3*(h - 2)*(h + 3)/3
Let o(z) = 12*z - 12. Let p(i) be the first derivative of -i**3/3 - 5. Let f(r) = o(r) + 3*p(r). Let f(n) = 0. What is n?
2
Suppose -1/2*b**4 - 5/4*b + b**2 + 5/2*b**3 - 1/2 - 5/4*b**5 = 0. Calculate b.
-1, -2/5, 1
Let j(o) be the second derivative of o**7/588 + o**6/180 + o**5/210 + o**3/3 + 4*o. Let a(v) be the second derivative of j(v). Factor a(i).
2*i*(i + 1)*(5*i + 2)/7
Suppose -2*z - z - 9 = 0. Let r be 4/(-6) + (-14)/z. Solve 2*a**3 - 4*a**3 - 6*a**3 + a**4 + a**r + 8*a**2 = 0 for a.
0, 2
Factor 8/5 + 4*s + 16/5*s**2 + 4/5*s**3.
4*(s + 1)**2*(s + 2)/5
Let n(y) be the third derivative of y**8/4200 - y**7/2100 + y**3/6 - 3*y**2. Let v(d) be the first derivative of n(d). Factor v(a).
2*a**3*(a - 1)/5
Let y(n) be the second derivative of -7*n**4/16 - 5*n**3/8 + 3*n**2/4 + n. Determine f so that y(f) = 0.
-1, 2/7
Find h such that 2*h - 16/3*h**2 - 44/3*h**3 - 10/3*h**5 - 12*h**4 + 4/3 = 0.
-1, 2/5
Let j(a) be the first derivative of a**5/300 - a**4/30 + 2*a**3/15 + 3*a**2/2 + 1. Let w(r) be the second derivative of j(r). Let w(v) = 0. Calculate v.
2
Let u(p) = 33*p**4 - 39*p**3 - 3*p**2 + 9. Let t(g) = -16*g**4 + 19*g**3 + g**2 - 4. Let l(r) = -9*t(r) - 4*u(r). Let l(a) = 0. Calculate a.
0, 1/4, 1
Let f be 0/(-1)*((-11)/(-3) + -4). Determine m, given that 0 - 2/5*m**3 + f*m**2 + 2/5*m = 0.
-1, 0, 1
Find h such that 0 + 33/4*h**2 + 9/2*h = 0.
-6/11, 0
Let o(y) be the second derivative of 5*y**4/12 - 25*y**3/6 - 15*y**2 - 16*y. Factor o(f).
5*(f - 6)*(f + 1)
Let v = -18 - -5. Let l = 15 + v. Factor 0 + 1/3*u + 1/3*u**l.
u*(u + 1)/3
Let n be 17 - 14 - (-10)/(-12). Let z = n + -131/66. Find v such that -z*v + 0 - 2/11*v**2 = 0.
-1, 0
Let q(c) be the second derivative of 0 - 1/60*c**6 - 1/24*c**3 + 0*c**5 + 1/24*c**4 + 0*c**2 + 6*c + 1/168*c**7. Factor q(z).
z*(z - 1)**3*(z + 1)/4
Let g = 30 + -27. Solve -16/5*k**4 + 0 - 2/5*k**2 + 0*k + 7/5*k**5 + 11/5*k**g = 0 for k.
0, 2/7, 1
Let g(n) be the third derivative of -n**6/540 + n**5/270 + n**4/54 - 17*n**2. Let g(f) = 0. Calculate f.
-1, 0, 2
Suppose -15*g**2 + 15*g**3 + 3/2*g**5 + 15/2*g - 15/2*g**4 - 3/2 = 0. Calculate g.
1
Let j(z) be the second derivative of -z**6/40 - z**5/40 + z**4/16 + z**3/12 - 6*z. Factor j(l).
-l*(l - 1)*(l + 1)*(3*l + 2)/4
Let 2/11*a + 14/11 - 14/11*a**2 - 2/11*a**3 = 0. Calculate a.
-7, -1, 1
Let a = -4 - -8. Let c be -3 - 0 - (-13)/a. Let -1/2 + 1/4*s + c*s**2 = 0. Calculate s.
-2, 1
Let n(h) be the first derivative of 1/16*h**4 - 1/8*h**2 + 1/12*h**3 - 1/4*h + 1. Factor n(u).
(u - 1)*(u + 1)**2/4
Let u be 24/(-801)*306/(-15). Let w = u - 1/89. Find r, given that -w*r + 3/5*r**2 + 1/5 - 1/5*r**3 = 0.
1
Let n be (-4)/78*(-122)/4. Let g = n + -3/13. Find u, given that 1/3*u**2 + 4/3*u + g = 0.
-2
Let i(y) = -8 - 4*y - 4*y - 9*y**2 - 2*y - 1 + 10*y**3. Let u(c) = c**3 - c**2 - c - 1. Let d(x) = -2*i(x) + 18*u(x). Factor d(l).
-2*l*(l - 1)*(l + 1)
Let f(q) be the first derivative of 6/5*q**5 + 5 - 3/2*q**4 - 1/3*q**6 + 0*q + 0*q**2 + 2/3*q**3. Factor f(k).
-2*k**2*(k - 1)**3
Let o = 41 + -38. Let g(c) be the second derivative of -1/6*c**4 + 0 + 1/3*c**o + 2*c**2 + c. Let g(d) = 0. What is d?
-1, 2
Let b(l) be the second derivative of l**7/10080 - l**5/480 - l**4/6 - 3*l. Let v(f) be the third derivative of b(f). Factor v(s).
(s - 1)*(s + 1)/4
Suppose -4*r = -5*w - 7, 5*r - 52*w + 50*w - 13 = 0. Determine b so that -3/4*b**4 - 1/4*b**5 - 3/4*b**r - 1/4*b**2 + 0*b + 0 = 0.
-1, 0
Factor 1817*x**4 + 12*x - 3*x**3 - 1814*x**4 - 7*x**2 - 5*x**2.
3*x*(x - 2)*(x - 1)*(x + 2)
Let b(m) be the second derivative of 0 - 1/110*m**5 - 8/33*m**3 - 5/66*m**4 + 2*m - 4/11*m**2. Determine h so that b(h) = 0.
-2, -1
Factor -6*s**2 + s**3 - s**5 - 3*s**2 + 9*s**2.
-s**3*(s - 1)*(s + 1)
Let s be (4/(-4))/(3/(-15)). Let m(g) be the first derivative of -3/8*g**4 + 0*g**2 + 1/6*g**3 + 0*g - 1/12*g**6 + 3/10*g**s + 2. Factor m(c).
-c**2*(c - 1)**3/2
Let r(p) = 3*p**2 + p - 2. Let q be r(1). Let v(w) be the first derivative of 1/2*w**3 + 3/4*w**q + 1/8*w**4 - 2 + 1/2*w. Factor v(m).
(m + 1)**3/2
Factor 6*p**2 - 3*p**4 - 48 + 4*p + 4