Solve -2/3*q**y - 2/3*q**2 + 2/3*q**4 + 2/3*q + 0 = 0.
-1, 0, 1
Factor 1/9*u**2 - 1/9*u - 1/9*u**4 + 0 + 1/9*u**3.
-u*(u - 1)**2*(u + 1)/9
Let k(a) be the third derivative of a**8/672 - a**7/420 - a**6/120 - 23*a**2. Factor k(b).
b**3*(b - 2)*(b + 1)/2
Let l = 48 - 189/4. Factor 3/4*v**2 + l + 3/2*v.
3*(v + 1)**2/4
Solve 0*l + 0 + 5/2*l**3 - 5/4*l**4 + 15/4*l**2 = 0 for l.
-1, 0, 3
Let z = 1/201 - -265/603. Factor -z*t**4 + 0*t - 2/9*t**5 - 2/9*t**3 + 0*t**2 + 0.
-2*t**3*(t + 1)**2/9
Let h be (-1)/1 + 88/72. Let w = 4/9 + h. Factor -4/3*s**4 + 0 + 2/3*s**5 - w*s + 0*s**3 + 4/3*s**2.
2*s*(s - 1)**3*(s + 1)/3
Let d(n) be the third derivative of -1/48*n**4 + 1/240*n**5 - n**2 + 0*n + 0*n**3 + 0. Factor d(s).
s*(s - 2)/4
Let y = 96 - 166. Let d be (-14)/y - (-2)/(-10). Solve d - 2/5*s - 2/5*s**2 = 0.
-1, 0
Let w be -2 - (-5)/(30/22). Factor 1/3*b + w*b**2 + 0.
b*(5*b + 1)/3
Let x(i) be the second derivative of 1/10*i**2 + 1/10*i**3 + 0 + 4*i + 1/100*i**5 + 1/20*i**4. Solve x(k) = 0.
-1
Let i(j) be the third derivative of 0*j**3 + 1/48*j**4 - 1/60*j**5 + 2*j**2 + 0*j + 0 + 1/240*j**6. Suppose i(d) = 0. Calculate d.
0, 1
Find n such that 10*n**2 + 4*n**3 - 16 - 12*n**4 - 36*n + 24 + 26*n**2 = 0.
-2, 1/3, 1
Let n(f) be the first derivative of 0*f - 3 - 45/16*f**4 + 49/24*f**6 - 1/2*f**2 - 7/5*f**5 + 7/3*f**3. Determine c, given that n(c) = 0.
-1, 0, 2/7, 1
Let g(x) be the third derivative of x**7/2100 + x**6/300 + x**5/150 + x**3/6 - 5*x**2. Let t(v) be the first derivative of g(v). Let t(n) = 0. Calculate n.
-2, -1, 0
Determine b so that 0 + 1/5*b - 2/5*b**2 + 0*b**3 - 1/5*b**5 + 2/5*b**4 = 0.
-1, 0, 1
Let w be ((-4)/(-3))/(82/246). Find j such that 1/5*j + 3/5*j**3 - 3/5*j**2 + 0 - 1/5*j**w = 0.
0, 1
Let b(i) = -i**3 + 5*i**2 + 5*i + 8. Let u be b(6). Factor 34*y**3 + 23*y**4 + 7*y + y - 3*y**4 + 28*y**2 + u*y**3 + 4*y**5.
4*y*(y + 1)**3*(y + 2)
Factor -165*l + 11162 - 5*l**5 - 28*l**4 - 11207 - 230*l**2 - 17*l**4 - 150*l**3.
-5*(l + 1)**3*(l + 3)**2
Find o, given that -4*o**5 + 8*o**3 - 4*o - 2*o + 2*o - o**2 + 9*o**2 - 4 - 4*o**4 = 0.
-1, 1
Let v(u) be the third derivative of -u**6/300 - u**5/150 + u**4/30 + 48*u**2. Factor v(f).
-2*f*(f - 1)*(f + 2)/5
Solve -1/3*h**3 - 1/3*h**4 + 1/3*h**2 + 1/3*h + 0 = 0.
-1, 0, 1
Let i(s) be the first derivative of -2 + 2/5*s + 1/5*s**4 + 4/15*s**3 - 7/10*s**2. Factor i(y).
(y + 2)*(2*y - 1)**2/5
Solve 2/13*f**5 - 50/13*f**2 - 8/13 + 32/13*f - 14/13*f**4 + 38/13*f**3 = 0.
1, 2
Let y(q) be the first derivative of 1/15*q**3 + 0*q + 2 - 3/10*q**2. Factor y(n).
n*(n - 3)/5
Let t(m) = 3*m + 12. Let x(h) = 4*h + 13. Let d(r) = -5*t(r) + 4*x(r). Let i be d(12). Factor -1/2*p**5 + 0 + 0*p**2 + 0*p**i + 1/2*p**3 + 0*p.
-p**3*(p - 1)*(p + 1)/2
Let x(b) = 2*b - 2. Let d be x(5). Suppose d = 4*i - 4. Factor -r + r**2 + r + r**i.
r**2*(r + 1)
Let r(m) = -m**3 - 9*m**2 - 9*m - 4. Let o be r(-8). Factor -4*c - c**3 + 1 + o + c - 4 + 3*c**2.
-(c - 1)**3
Let w(h) = -11*h**4 + 4*h**3 + 9*h**2 - 6*h. Let d(q) = 111*q**4 - 39*q**3 - 90*q**2 + 60*q. Let b(u) = 2*d(u) + 21*w(u). Factor b(o).
-3*o*(o - 1)*(o + 1)*(3*o - 2)
Let o(n) = -4*n**2 - 2*n. Let k(t) = 3*t**2 + t. Let a(s) = 3*k(s) + 2*o(s). Factor a(z).
z*(z - 1)
Let y = 20 - 16. Suppose 3*b = b + y. Factor -1/3*v**3 - 2/3*v**b + 0 - 1/3*v.
-v*(v + 1)**2/3
Let q(b) = -b - 5. Let z be q(-5). Let c be (3 - z) + (-1)/1. Factor -1/4*l**3 + 0 + 0*l - 1/2*l**c.
-l**2*(l + 2)/4
Let y = -2 - -4. Factor 6*c**4 - 2*c + 0*c**2 + 5*c**3 + y*c**2 + 5*c**3.
2*c*(c + 1)**2*(3*c - 1)
Let b(p) be the third derivative of 7*p**5/3 + 145*p**4/24 + 5*p**3 + 32*p**2. Let b(x) = 0. Calculate x.
-3/4, -2/7
Suppose -2*f**3 - 6 - 10*f**2 + 0*f**2 + 14*f + 4*f**3 = 0. Calculate f.
1, 3
Let n(p) = -p**2 + 8*p - 6. Let l be n(6). Let a = 2 + 0. Suppose -l*v**3 + a*v**3 - 4*v**4 - 2*v**2 + 2*v**4 = 0. Calculate v.
-1, 0
Let d(f) be the second derivative of 1/3*f**4 + 0*f**2 - 2/3*f**3 + 9*f + 0 + 3/20*f**5. Factor d(l).
l*(l + 2)*(3*l - 2)
What is w in -7/5*w - 1/5*w**3 + 3/5 + w**2 = 0?
1, 3
Let i be (2/(-6))/(7/21). Let y be 0/(2/(i - 1)). Determine g, given that 2/3*g**4 - 2/3*g**2 + 0*g**3 + 1/3*g - 1/3*g**5 + y = 0.
-1, 0, 1
Let v(g) = 2*g**2 - 10*g. Let y(k) = -k. Let d(l) = -v(l) + 10*y(l). Factor d(b).
-2*b**2
Suppose c - 2*c + 9 = 0. Let m be ((-3)/c)/(2/(-30)). Find g, given that 3*g**4 - 2*g**5 + g**3 + g**2 + 0*g**3 + 2*g**3 + 3*g**m = 0.
-1, 0
Find p such that 2/7*p**3 + 6/7*p**4 + 2/7*p**5 - 6/7*p**2 - 4/7*p + 0 = 0.
-2, -1, 0, 1
Suppose -1/6*j**3 + 1/6*j**2 + 0 + 1/6*j - 1/6*j**4 = 0. Calculate j.
-1, 0, 1
Let h be -3 - (-1*9 + 3). Let y(l) be the first derivative of -1/6*l**4 + 1/3*l**2 + 0*l + 1 + 0*l**h. Factor y(n).
-2*n*(n - 1)*(n + 1)/3
Let m be 1*-8*9/(-18). Let s(b) be the second derivative of 1/48*b**m - b - 1/80*b**5 + 0 - 1/8*b**2 + 1/24*b**3. What is c in s(c) = 0?
-1, 1
Let n(g) = -g - 4. Let k(d) = -d**3 + 6*d**2 - d - 1. Let r be k(6). Let v be n(r). Determine h so that -v*h + 3*h**5 + h**3 + h**5 - 5*h**4 + 3*h = 0.
0, 1/4, 1
Let o(p) = -7*p**4 + 5*p**3 - 8*p**2 - 2*p - 6. Let g(n) = 13*n**4 - 10*n**3 + 16*n**2 + 3*n + 11. Let x(j) = 6*g(j) + 11*o(j). Factor x(m).
m*(m - 2)**2*(m - 1)
Suppose a + 0 - 3 = 0. Factor 0*g - 4*g**2 + 2*g - a*g.
-g*(4*g + 1)
Factor 5/2*t**3 + 5*t - 15/2*t**2 + 0.
5*t*(t - 2)*(t - 1)/2
Let d = 27 - 53/2. Let z(c) be the second derivative of -3*c + 1/2*c**4 + d*c**2 + 1/30*c**6 + 0 + 2/3*c**3 + 1/5*c**5. Solve z(g) = 0 for g.
-1
Let l(u) = 6*u**4 + 4*u**3 - 2. Let f(v) = v**4 + v**3 + v**2 - 1. Let m(z) = z - 9. Let n be m(8). Let y(p) = n*l(p) + 4*f(p). Factor y(j).
-2*(j - 1)**2*(j + 1)**2
Let h(r) be the first derivative of r + 0*r**2 + 0*r**3 - 1/80*r**5 + 2 - 1/24*r**4. Let n(k) be the first derivative of h(k). Factor n(u).
-u**2*(u + 2)/4
Let p(m) be the first derivative of 6 - 4/5*m - 2/5*m**2 + 8/15*m**3. Factor p(o).
4*(o - 1)*(2*o + 1)/5
Let s(u) = -u**3 + 2*u - 1. Let w be s(-2). Suppose 0*b**2 - 3*b**2 - 9*b**2 + 4*b**w = 0. What is b?
0, 3
Factor -9/2 + 21/4*u**2 - 15/4*u + 3*u**3.
3*(u - 1)*(u + 2)*(4*u + 3)/4
Let t = -6 + 5. Let y(w) = -w - 1. Let a(v) = v**4 + 3*v**3 + 2*v**2 + v + 1. Let u(q) = t*y(q) - a(q). Factor u(s).
-s**2*(s + 1)*(s + 2)
Let h(x) = -x + 6. Let p be h(6). Let b = -231/4 - -58. Solve 1/4*k**3 + 0*k - b*k**2 + p = 0 for k.
0, 1
Let n = -16 - -18. What is q in q**n - 1/3 - 2/3*q = 0?
-1/3, 1
Let d = 715/2 - 348. Let -1/2*y - 7/2*y**4 - 15/2*y**2 + 1 - d*y**3 = 0. What is y?
-1, 2/7
Let g = 12998/9 - 1444. Suppose -q = -r + 2*r - 5, -q + 1 = -r. What is t in -4/9*t - g - 2/9*t**r = 0?
-1
Factor 8*a**2 + 20*a - 8*a**2 - 5*a**2.
-5*a*(a - 4)
Let r(k) be the second derivative of 2/35*k**5 + 0 + 2/21*k**3 + 1/7*k**2 - 1/6*k**4 + 2*k. Factor r(z).
2*(z - 1)**2*(4*z + 1)/7
Suppose -2*y + 18 - 6 = 0. Let b = y + -4. Factor -2/3*i**3 - 2/3 - 2*i - b*i**2.
-2*(i + 1)**3/3
Factor -6/7*x + 8/21*x**3 + 4/21 + 2/7*x**2.
2*(x - 1)*(x + 2)*(4*x - 1)/21
Let n(m) be the second derivative of m**9/60480 - m**7/3360 - m**6/1440 - m**4/12 - 7*m. Let d(s) be the third derivative of n(s). Factor d(w).
w*(w - 2)*(w + 1)**2/4
Let o be 0/3 - 3/(-3). Factor -w**3 - 2*w**2 + o + 5*w**3 + 1 - 2*w**3 - 2*w.
2*(w - 1)**2*(w + 1)
Let k**4 + 1/5*k**3 - 1/5*k**2 + 0 + 3/5*k**5 + 0*k = 0. Calculate k.
-1, 0, 1/3
Suppose 0 = 4*j + 3*i - 21, 0 = -2*j + 4*j + 5*i - 7. Let g be 4*(-1 - (-8)/j). Factor g - 4/3*h + 1/3*h**2.
(h - 2)**2/3
Let j(q) be the second derivative of -q**5/60 - q**4/24 + q**2/2 + q. Let i(s) be the first derivative of j(s). Factor i(g).
-g*(g + 1)
Factor -218 + 154 - 32*m - 6*m**2 + 2*m**2.
-4*(m + 4)**2
Let o(i) = i**3 + 4*i**2 + 5*i + 4. Let d be o(-2). Let f(a) be the second derivative of a**d - a + 3/2*a**3 + 0 + 7/12*a**4. Solve f(v) = 0 for v.
-1, -2/7
Let l(b) = -b**2 + 12*b + 5. Let v(j) = j**2 - 13*j - 4. Let g(m) = -4*l(m) - 3*v(m). Let t be g(10). Let -1/4 - 1/4*y**t + 1/2*y = 0. What is y?
1
Find j, given that -7/4*j - 9/2 + 1/4*j**2 = 0.
-2, 9
Let k(d) = 26*d**2 - 30*d + 4. Let s(z) = 52*z**2 - 61*z + 9. Let x(r) = 5*k(r) - 2*s(r). Suppose x(p) = 0. Calculate p.
1/13, 1
Let p = -26/3 - -136/15. Find w such that 2/5*w**3 - 2/5*w**5 - 2/5*w**2 + p*w**4 + 0*w + 0 = 0.
-1, 0, 1
Let p(r) = -r**3 - 13*r**2 - 31*r - 8. L