 0 - 1/18*k**3 + 0*k. Factor l(d).
(d - 1)*(d + 1)/3
Let a(f) = 9*f**2 + f - 1. Let n be a(2). Let z = n - 35. Solve -4/3 + 2/3*x + 2/3*x**z = 0.
-2, 1
Factor 0*w + 0 + 2/3*w**4 - 2/3*w**5 + 0*w**3 + 0*w**2.
-2*w**4*(w - 1)/3
Let y(b) = -b - 3. Let n be y(5). Let r = -6 - n. Factor 2/3*g + 4/3*g**r + 2/3*g**3 + 0.
2*g*(g + 1)**2/3
Suppose -u = -7 + 4. Factor 1/4*c**u + 3/4*c**4 - 1/4*c - 3/4*c**2 + 0.
c*(c - 1)*(c + 1)*(3*c + 1)/4
Factor 0*m**2 - 2/5*m**3 + 4/5*m**5 + 0*m + 2/5*m**4 + 0.
2*m**3*(m + 1)*(2*m - 1)/5
Suppose 3*x + 6*y + 2 = 2*y, 2*x - 4*y - 32 = 0. Suppose 0 = l - 2*k + 5, -8*l + 3*l - 1 = -4*k. Solve -x*m**2 + 5*m**4 - l*m**3 + 2*m + m**4 + m**3 = 0.
-1, 0, 1/3, 1
Suppose t = 6*t. Let s = 6 - t. Factor -2*k + 0*k**4 + 4*k + 2*k**4 + 6*k**3 + s*k**2.
2*k*(k + 1)**3
Let h = -477 - -1447/3. Factor 1/3*w**2 + 8/3*w + h.
(w + 4)**2/3
Let t(r) be the second derivative of r**5/20 - r**4/4 - r**3/3 - 2*r**2 + 2*r. Let y be t(4). Factor -3 - 30*h**2 - 22*h**3 - 8*h**y + 1 - 14*h - 4*h**3.
-2*(h + 1)**3*(4*h + 1)
Factor 2/7*i**3 + 0 + 0*i + 0*i**2.
2*i**3/7
Let u(d) be the third derivative of -d**5/540 + 5*d**4/108 - 25*d**3/54 + d**2. Determine t, given that u(t) = 0.
5
Suppose 5*q + 30 = 4*u - 0*u, -12 = q - 2*u. Let v = 0 - q. Factor 0*d**3 - 6*d + 6*d**v + 4*d**3 - 2*d**3 - 4*d**3 + 2.
-2*(d - 1)**3
Factor -20 - 2*j**2 + 8 - 2*j**2 + 16*j.
-4*(j - 3)*(j - 1)
Let u = -155737 - -14016553/90. Let f = u - -1/45. Solve f*z**3 + z**2 + 0*z + 0 - 7/2*z**4 = 0 for z.
-2/7, 0, 1
Determine t, given that 0 + 9/2*t**3 + 6*t + 12*t**2 = 0.
-2, -2/3, 0
Let p(s) = s**2 - 10*s + 27. Let g be p(4). Let o(z) be the first derivative of 0*z**2 - 1/10*z**5 + 0*z + 1/6*z**3 + g + 1/12*z**6 - 1/8*z**4. Factor o(y).
y**2*(y - 1)**2*(y + 1)/2
Suppose -3*y - j = 2*j - 15, -4*y - j = -11. Let m = 0 + y. Find b, given that -1/2*b**3 - 45/2*b**4 - 12*b + 41/2*b**m + 2 + 25/2*b**5 = 0.
-1, 2/5, 1
Let r(n) be the third derivative of -n**8/112 + 3*n**7/70 + n**6/40 - 7*n**5/20 + 2*n**3 - 8*n**2. Find k, given that r(k) = 0.
-1, 1, 2
Let m be (-1)/((-9)/(-6) - 2). Factor -3*t**2 + 0*t**4 + 0*t**5 - 3*t**3 - t**5 + m*t**2 - 3*t**4.
-t**2*(t + 1)**3
Factor 1/4*r**4 + 0 + 3*r**2 + 2*r + 3/2*r**3.
r*(r + 2)**3/4
Let m(h) be the first derivative of h**4/4 - 17*h**3/15 + 8*h**2/5 - 4*h/5 + 6. Suppose m(t) = 0. What is t?
2/5, 1, 2
Let i be (4/10)/((-3)/(-30)). Suppose -3*j = 4*u - 8, -i*j + 0*j = -5*u + 10. Factor 4*o + 4*o**2 + 4 + 0*o**u - 3*o**2.
(o + 2)**2
Factor 9/4*p**2 - 21/8*p + 3/8*p**3 + 0.
3*p*(p - 1)*(p + 7)/8
Let q be (-3*6/27)/((-7)/12). Factor -2/7 + 10/7*x**2 + q*x.
2*(x + 1)*(5*x - 1)/7
Suppose 0 = -a + 2*a - 4. Suppose -4*z + 19 + 1 = 0, -a*u = -4*z + 8. Factor -1/3*r**u + 1/3*r**4 + 0 + 0*r**2 + 0*r.
r**3*(r - 1)/3
Let p(j) = -2 - 5*j**2 + 7*j + 4*j**3 + 7 - 5*j**3 + 3. Let s be p(-6). Factor s + 2*x**3 + 0 + 6*x + 6*x**2 + 0.
2*(x + 1)**3
Suppose 8 - w**2 - 3*w - 3*w**2 + 5*w - 6*w = 0. What is w?
-2, 1
Let s(g) be the first derivative of g**6/60 + g**5/40 + 2*g + 2. Let j(q) be the first derivative of s(q). What is p in j(p) = 0?
-1, 0
Let h = -1/111 - -131/2220. Let q(m) be the first derivative of 2 - 1/10*m**2 + 1/15*m**3 - 1/5*m + h*m**4. Factor q(y).
(y - 1)*(y + 1)**2/5
Let d be 0/7 + -4 + 52/12. Determine r so that -d - 2/3*r**3 + 2/3*r + 1/3*r**4 + 0*r**2 = 0.
-1, 1
Let l(h) be the third derivative of -h**5/300 - h**4/20 - 3*h**2. Determine v, given that l(v) = 0.
-6, 0
Let s(o) be the second derivative of -o**4/30 - 2*o**3/15 + 21*o. Factor s(h).
-2*h*(h + 2)/5
Let -10*q - 8 - 2*q + 0*q**2 + 4*q**2 - 8 = 0. Calculate q.
-1, 4
Factor -5*w - 43*w + 26*w**2 + 2*w + 12 + 18*w**2 - 10*w**3.
-2*(w - 3)*(w - 1)*(5*w - 2)
Let p(l) be the third derivative of l**7/1365 + l**6/156 + 3*l**5/130 + 7*l**4/156 + 2*l**3/39 - 21*l**2. Find g such that p(g) = 0.
-2, -1
Let m(z) = 5 - 5 + z. Let u be m(2). Factor 2 - 4*q + 0*q + 4*q**3 + 2*q**4 - 8*q**u + 4*q**4.
2*(q - 1)*(q + 1)**2*(3*q - 1)
Let j(u) = 26*u**2 - 8*u. Let o(m) = 0*m + 3*m**2 + 2*m**2 + m. Let x(w) = w**2 + w. Let d(v) = -3*o(v) + 6*x(v). Let h(a) = 17*d(a) + 6*j(a). Factor h(y).
3*y*(y + 1)
Let t(h) = h + 10. Let o be t(-7). Suppose o*n + 3 = 4*n. Factor 3 - n*p**2 - 7*p - 1 + p - 5.
-3*(p + 1)**2
Let f(l) be the first derivative of 1/18*l**6 + 1 - 1/2*l**2 - 1/5*l**5 + 1/3*l + 2/9*l**3 + 1/6*l**4. Let f(b) = 0. What is b?
-1, 1
Let l(h) be the third derivative of 0*h**3 + 0*h - 2/35*h**7 + 0 + 4*h**2 - 1/40*h**6 + 1/5*h**5 + 1/8*h**4. Factor l(x).
-3*x*(x - 1)*(x + 1)*(4*x + 1)
Let m = 65 - 59. Suppose 2/3*f**2 + m + 4*f = 0. Calculate f.
-3
Let o(z) = -3*z**5 - 4*z**4 - 2*z**3 - z - 2. Let m(f) = -f**5 - f**4 - f**3 - f**2 - f - 1. Let l(x) = 2*m(x) - o(x). Factor l(p).
p*(p - 1)*(p + 1)**3
Let a(v) = 3*v**4 + 2*v**3 + v**2 - 2*v - 2. Let j(h) = 7*h**4 + 3*h**3 + h**2 - 3*h - 3. Let n(u) = -15*a(u) + 6*j(u). Find k such that n(k) = 0.
-2, -1, 1
Let d(g) = -6*g**2 + 23*g - 17. Let h(i) = -i**2 + 4*i - 3. Let k(u) = 6*d(u) - 34*h(u). Factor k(n).
-2*n*(n - 1)
Let j(g) be the third derivative of -g**6/150 - g**5/15 - 4*g**4/15 - 8*g**3/15 + 8*g**2. Factor j(f).
-4*(f + 1)*(f + 2)**2/5
Let i(x) = 2*x**3 - x**2 + 2*x - 1. Let f be i(1). Let b = 714/5 - 142. Factor -b*w - 2/5*w**f + 0.
-2*w*(w + 2)/5
Let q(b) be the first derivative of -15*b**4/4 - 44*b**3/3 + 5*b**2/2 + 6*b + 8. Factor q(i).
-(i + 3)*(3*i + 1)*(5*i - 2)
Let n be (-16)/160*(0 - 10/4). Factor 1 - 3/4*f**2 + n*f**3 + 0*f.
(f - 2)**2*(f + 1)/4
Let g(v) be the second derivative of 3*v**5/20 - 5*v**3/6 + v. Let r(p) = p. Let t(f) = -g(f) - 5*r(f). Factor t(u).
-3*u**3
Suppose -3*q + 7 = 1, 2*q + 8 = 3*u. Let 3*j**4 - j**4 - 2*j - 2*j + u*j**3 - 2*j**2 = 0. What is j?
-2, -1, 0, 1
Let b be 4/6 - (-16)/(-60). Solve b*i**3 - 2/5*i**2 + 0 + 0*i = 0.
0, 1
Solve 8*u**4 + 8*u**4 - 26*u**4 - 9*u**3 + 4*u**4 + 6*u**2 = 0.
-2, 0, 1/2
Let z(n) = n**3 + 2*n**2 - 3*n. Let u(o) = -7*o**3 - 11*o**2 + 17*o. Let v(s) = -6*u(s) - 34*z(s). Factor v(a).
2*a**2*(4*a - 1)
Let j(z) = -z**2 + 2*z - 1. Let t be j(1). Factor -1/2*m**2 + t*m + 1/2.
-(m - 1)*(m + 1)/2
Let d(g) be the third derivative of -g**5/60 - 7*g**4/12 - 49*g**3/6 - 13*g**2. Solve d(i) = 0 for i.
-7
Let n(s) be the first derivative of 1/4*s**4 - 1 - 1/2*s**3 - 3*s + 3/20*s**5 - 3/2*s**2. Let g(w) be the first derivative of n(w). Suppose g(m) = 0. What is m?
-1, 1
Let p be (10/175)/((-2)/(-30)). Let h be (90/(-40))/((-6)/8). Determine l so that 6/7*l**2 - 2/7*l - p*l**h + 2/7*l**4 + 0 = 0.
0, 1
Let v(s) be the third derivative of -s**6/360 - s**5/120 + 5*s**3/6 + 4*s**2. Let h(b) be the first derivative of v(b). Factor h(w).
-w*(w + 1)
Let w = 2313/440 + -3/440. Let 3/2*p - w*p**4 + 12*p**3 + 0 - 33/4*p**2 = 0. Calculate p.
0, 2/7, 1
Let o = 461/5 - 92. Let y(s) be the second derivative of 1/15*s**3 + 2/75*s**6 - 2*s + 0 + 1/10*s**4 - 1/10*s**5 - o*s**2. Factor y(q).
2*(q - 1)**3*(2*q + 1)/5
Let o be (-288)/(-135) - 8/10. Let 0*f**2 - 2/3*f**5 + o*f**3 - 2/3*f + 0 + 0*f**4 = 0. Calculate f.
-1, 0, 1
Factor 10 - 15 + 5 - 4*k**2 + 8*k.
-4*k*(k - 2)
Let z(w) be the second derivative of -w**7/14 + w**6/10 + 3*w**5/10 + 4*w. Factor z(h).
-3*h**3*(h - 2)*(h + 1)
Factor 0 + 2/9*i**4 + 0*i + 2/9*i**2 - 4/9*i**3.
2*i**2*(i - 1)**2/9
Let h be (-5)/((-3)/(-6)*-2). Factor -16 + y + h*y**2 + 7*y - 6*y**2.
-(y - 4)**2
Let h(i) = -i + i**2 + 0*i**3 + 3*i**3 - 2*i**3 + 1. Let n be h(1). Factor -1/3*s**4 + 0*s**3 + 0*s + 0 + 1/3*s**n.
-s**2*(s - 1)*(s + 1)/3
Let u(v) be the second derivative of -v**8/168 + v**6/60 - v**2/2 - 2*v. Let m(a) be the first derivative of u(a). Solve m(r) = 0.
-1, 0, 1
Let l(f) = 15*f**2 + 159*f + 192. Let c(d) = d**2 + 10*d + 12. Let o(q) = 33*c(q) - 2*l(q). Suppose o(j) = 0. Calculate j.
-2
Let r(z) be the second derivative of 2/15*z**3 - 1/2*z**2 + 0 + 3/50*z**5 + 11/60*z**4 - 4*z. Let y(n) be the first derivative of r(n). Factor y(b).
2*(b + 1)*(9*b + 2)/5
Let d = 17 - 12. Let b(i) be the third derivative of 2*i**2 + 0 - 1/105*i**7 + 1/60*i**6 + 0*i + 0*i**4 + 0*i**d + 0*i**3. Determine p, given that b(p) = 0.
0, 1
Let s(l) be the second derivative of 3*l + 0*l**3 + 0 + 1/35*l**7 + 0*l**2 - 1/75*l**6 - 1/25*l**5 + 0*l**4. Factor s(o).
2*o**3*(o - 1)*(3*o + 2)/5
Let g(c) be th