j, 0 = 4*p - 3*j - 0*j + 21. Let z(n) = 107*n**2 - 59*n + 6. Let v(t) = p*z(t) + 11*s(t). Factor v(b).
-3*(4*b - 1)**2
Let k = -9 - -6. Let c(m) = -5*m**2 + 2*m - 3. Let i(o) = -4*o**2 + 2*o - 2. Let y(x) = k*i(x) + 2*c(x). Determine g, given that y(g) = 0.
0, 1
Let a(v) = 3*v**5 + 51*v**4 + 333*v**3 + 885*v**2 + 960*v + 390. Let s(o) = -o**3 - o**2 + o - 1. Let m(y) = -a(y) - 15*s(y). Factor m(g).
-3*(g + 1)**2*(g + 5)**3
Factor 0 - 4/5*f**2 + 2/5*f**4 + 0*f + 2/5*f**3.
2*f**2*(f - 1)*(f + 2)/5
Let j(m) be the first derivative of -2*m**6/3 - 12*m**5/5 - 3*m**4 - 4*m**3/3 + 6. Factor j(q).
-4*q**2*(q + 1)**3
Let z(f) be the third derivative of -1/20*f**5 + 0*f**3 - 4*f**2 + 1/8*f**4 + 0 + 0*f. Factor z(q).
-3*q*(q - 1)
Let m = 117 + -117. Determine k, given that 0*k + m - 1/4*k**2 + 1/4*k**3 = 0.
0, 1
Factor 3/5*c + 0 + 3/5*c**5 + 12/5*c**4 + 18/5*c**3 + 12/5*c**2.
3*c*(c + 1)**4/5
Let b(i) = 11*i - 2*i + 2 + 0 - i**2. Let z(y) = 10*y + 2 - 2*y - 3*y**2 - y**2 + 2*y**2. Let l(m) = 4*b(m) - 5*z(m). Find v such that l(v) = 0.
-1/3, 1
Suppose -4*f + 5 = q, 4*q - 15 = -f + q. Suppose p - 3*a = -f*p + 4, 5*a = 0. Factor 0*m**3 + 4/3*m**2 - 2/3*m**p - 2/3 + 0*m.
-2*(m - 1)**2*(m + 1)**2/3
Suppose 8 = 3*n - 2*g, 7*g = -2*n + 3*g - 16. Factor 2/9*i**4 - 2/9*i**2 + 2/9*i**5 + 0 + n*i - 2/9*i**3.
2*i**2*(i - 1)*(i + 1)**2/9
Let t(z) be the first derivative of 4/3*z**3 + 3/10*z**5 + 3/2*z**2 + z**4 + 2 + 0*z + 1/30*z**6. Let u(w) be the second derivative of t(w). Factor u(p).
2*(p + 2)**2*(2*p + 1)
Factor -8/7*j + 2/7*j**2 + 8/7.
2*(j - 2)**2/7
Let c(j) = j - 3. Let f be c(0). Let g be -1*5/(-1) + f. Let g*o**3 + 3*o**3 + 3*o**2 - 5*o**3 - o**4 + 2*o = 0. What is o?
-1, 0, 2
Let v be (4/8)/(3/18). Factor -13*t**4 - 11*t**2 + 2*t - 1 - 7*t**2 + 5*t + 22*t**v + 3*t**5.
(t - 1)**4*(3*t - 1)
Let n be 18/(-27) + (-8)/(-6). Let d = -30 - -91/3. What is j in 1/3*j**4 + d*j**2 - n*j**3 + 0 + 0*j = 0?
0, 1
Let f = -4/25 - -33/50. Suppose -4*y + 3*y = 0. Factor 1/2*q**4 + 0*q + y - 1/2*q**3 - f*q**2 + 1/2*q**5.
q**2*(q - 1)*(q + 1)**2/2
Let g(m) = -4*m**4 - 4*m**3 - 2. Suppose 0 = 4*w - 8*w - 4. Let k(v) = -v**4 + v**2 - 1. Let f(u) = w*g(u) + 2*k(u). Solve f(n) = 0.
-1, 0
Let l(k) = -9*k**5 - 17*k**4 - 7*k**3 - 4*k**2 + 5. Let d(x) = -10*x**5 - 18*x**4 - 6*x**3 - 4*x**2 + 6. Let t(s) = -5*d(s) + 6*l(s). Factor t(r).
-4*r**2*(r + 1)**3
Let r(u) = u**5 + u**4 + u**3 + u**2. Let s(z) = 3*z**5 - 7*z**4 - 17*z**3 + 3*z**2 + 10*z. Let l(h) = 2*r(h) + s(h). Factor l(w).
5*w*(w - 2)*(w - 1)*(w + 1)**2
Let l(o) be the third derivative of 0 - 1/120*o**6 + 0*o - 1/60*o**5 + 0*o**4 + 11*o**2 + 0*o**3. Determine p, given that l(p) = 0.
-1, 0
Let x(j) be the first derivative of j**5/20 + j**4/12 - 5*j + 3. Let m(r) be the first derivative of x(r). Let m(a) = 0. What is a?
-1, 0
Let a = -134 + 194. Let v be ((a/16)/5)/3. Factor -v*k**4 + 1/4*k**3 - 1/4*k + 0 + 1/4*k**2.
-k*(k - 1)**2*(k + 1)/4
Let v(s) be the first derivative of 5*s**4/2 - 25*s**3/3 + 5*s**2 + 14. Solve v(n) = 0.
0, 1/2, 2
Let n(i) be the third derivative of -i**8/616 - 4*i**7/1155 + i**6/165 + i**5/55 - i**4/132 - 2*i**3/33 - i**2. Solve n(h) = 0 for h.
-1, 2/3, 1
Let w(r) be the third derivative of r**10/7200 + r**9/10080 + r**5/10 - r**2. Let f(v) be the third derivative of w(v). Factor f(c).
3*c**3*(7*c + 2)
Factor 12*z**4 + 27*z**3 + z + 2*z - 3*z**2 + 21*z**2.
3*z*(z + 1)**2*(4*z + 1)
Let p be (-21)/(-6) + (-2)/4. Let m(s) be the second derivative of 1/3*s**3 + 0*s**2 + 0 - 1/21*s**7 + 0*s**5 + 1/3*s**4 - 2/15*s**6 + p*s. Factor m(l).
-2*l*(l - 1)*(l + 1)**3
Let s = 4 + -7. Let r(x) = x**2 + 2*x + 1. Let z be r(s). Factor -3*b**3 - 4*b + 3*b + z*b**3.
b*(b - 1)*(b + 1)
Let d(g) be the first derivative of -3 + 0*g**3 - 1/35*g**5 + 1/28*g**4 + 0*g + 0*g**2. Solve d(b) = 0 for b.
0, 1
Let k(d) be the third derivative of -d**6/200 - d**5/20 - d**4/10 + d**2. Factor k(q).
-3*q*(q + 1)*(q + 4)/5
Let m(t) = -3*t**2 - 12*t - 15. Suppose 7 = -2*c + 19. Let x(f) = 8*f**2 + 35*f + 44. Let a(y) = c*x(y) + 17*m(y). Factor a(k).
-3*(k - 3)*(k + 1)
Let z(j) = 2*j - 4. Let i be z(-5). Let m = -11 - i. Factor 4/7 - 6/7*n**2 + 2/7*n**4 - 2/7*n + 2/7*n**m.
2*(n - 1)**2*(n + 1)*(n + 2)/7
Let w(p) be the third derivative of p**5/60 - 5*p**4/24 - p**3/2 - p**2. Let k be w(6). Determine a so that -2*a**4 - a**4 - a**2 - k*a**3 - a**5 + 0*a**2 = 0.
-1, 0
Suppose -2*z = z - 5*c - 29, -2*z = -2*c - 14. Let 3 - o**z + o**4 - 6 + 3 - o**2 + o = 0. Calculate o.
-1, 0, 1
Let o(w) = 4*w**2 + 2*w - 2. Let a(x) = 0*x - 4 - 9*x**2 - 4*x + 4 + 3. Let r(p) = -2*a(p) - 5*o(p). Factor r(n).
-2*(n - 1)*(n + 2)
Suppose -4*j = -9*j. Suppose 12 = 4*p - 4*w, 2*p + 0*w = -4*w + 6. Let j*z**p - z**3 - z**3 = 0. What is z?
0
Factor 1/5*c - 1/5*c**2 + 0.
-c*(c - 1)/5
Let u be 3/15*2*350. Let s be (192/u)/((-2)/(-5)). Let 8/7*o + s*o**2 + 0 + 18/7*o**3 = 0. Calculate o.
-2/3, 0
Solve -9 - 54*p**5 - 156*p**4 + 140*p**3 - 74*p**5 - 7 - 12*p**5 + 172*p**2 = 0.
-1, -2/5, 2/7, 1
Let t(g) = 3*g - 6. Let z be t(2). Let u(q) be the second derivative of 2/3*q**3 + z - 5/6*q**4 + 0*q**2 + 3/10*q**5 - 3*q. Factor u(y).
2*y*(y - 1)*(3*y - 2)
Factor 0*c**2 + 0 - 5/3*c**3 + 0*c + 5/3*c**5 + 0*c**4.
5*c**3*(c - 1)*(c + 1)/3
What is y in 4/11*y**3 - 16/11*y + 0 + 8/11*y**2 - 2/11*y**4 = 0?
-2, 0, 2
Let h = 36 + -71/2. Let q(a) be the second derivative of 0*a**2 - 7/15*a**6 + 6/5*a**5 + 0 - h*a**4 - a - 2/3*a**3. Solve q(d) = 0 for d.
-2/7, 0, 1
Find g such that 2/3*g**5 - 8/3*g**3 + 2/3*g**4 + 0 + 0*g - 8/3*g**2 = 0.
-2, -1, 0, 2
Let t(x) be the second derivative of x**7/98 + x**6/35 - 3*x**5/70 - 2*x**4/7 - x**3/2 - 3*x**2/7 - 6*x. Solve t(l) = 0 for l.
-1, 2
Let y(a) be the second derivative of 1/12*a**4 + 0 + 1/6*a**3 + 3/2*a**2 + 1/60*a**5 + 3*a. Let i(r) be the first derivative of y(r). Let i(q) = 0. Calculate q.
-1
Let r(k) be the first derivative of -3*k**5/5 - 3*k**4/2 + 4*k**3 + 3*k**2 - 9*k + 8. Find i such that r(i) = 0.
-3, -1, 1
Let m be (14/105)/((-24)/(-15)). Let z(p) be the first derivative of -1/3*p - 1/6*p**2 + 1/9*p**3 + m*p**4 + 2. Determine n so that z(n) = 0.
-1, 1
Let n(l) be the third derivative of l**5/80 - l**4/16 + l**3/8 + 5*l**2. Factor n(k).
3*(k - 1)**2/4
Let p = -413/5 - -83. Let m(r) be the second derivative of 4/3*r**4 + 2*r + 0 - 5/3*r**3 - p*r**5 + r**2. Find z such that m(z) = 0.
1/2, 1
Suppose -2*x - 1 - 1 = -3*o, 0 = 2*o - 4. Factor -2*i**2 - i**2 - x*i + 4*i - 4 + 6*i.
-(i - 2)*(3*i - 2)
Let s = 454/5 - 90. Let n(i) be the first derivative of -s*i + 1/5*i**2 + 2/15*i**3 + 1. Factor n(t).
2*(t - 1)*(t + 2)/5
Let l be (0 - 1)/(20/(-8)). Factor 0 + l*i**2 + 0*i.
2*i**2/5
Let n(f) = -3*f. Let o be n(-1). Suppose 3 = -o*h - 3*s, 3*h - 3*s - 14 = 1. Factor 2/7 + 0*l - 2/7*l**h.
-2*(l - 1)*(l + 1)/7
Suppose 70*a**2 - 74*a**3 - 19*a**5 - 15*a + 80*a**4 - a**5 - 41*a**3 = 0. Calculate a.
0, 1/2, 1, 3/2
Suppose 2*z = -1 + 21. Find c such that 3*c**3 + 5*c**4 - z*c**4 + 8*c**4 = 0.
-1, 0
Suppose 0 = -4*u + 3*u. Let v(j) be the third derivative of u + 2*j**2 + 0*j**4 - 1/150*j**5 + 0*j + 0*j**3 + 1/300*j**6. Factor v(o).
2*o**2*(o - 1)/5
Let a = -9 - -13. Let l be a/(-26) + (-105)/(-260). What is n in -l*n**4 + 3/4*n**3 + 1/4*n - 3/4*n**2 + 0 = 0?
0, 1
Let t(d) = -d**3 - 2*d**2 - 2*d + 1. Let p be t(-2). Suppose j - p*s = -15, -2*s + 1 = 5*j - 5. Find x, given that 0 - 2/9*x**2 + j*x - 2/9*x**4 + 4/9*x**3 = 0.
0, 1
What is a in 14/19*a**5 + 0 + 22/19*a**3 + 0*a + 32/19*a**4 + 4/19*a**2 = 0?
-1, -2/7, 0
Factor -2*x + 0*x - 16*x**3 + 20*x**2 + 4*x**4 - x - 5*x.
4*x*(x - 2)*(x - 1)**2
Let m(b) be the third derivative of -b**6/660 - b**5/330 + b**4/132 + b**3/33 + 10*b**2. Factor m(x).
-2*(x - 1)*(x + 1)**2/11
Let w(b) = -8*b**2 - 16*b - 17. Let r(o) = 2*o**2 + 4*o + 4. Let d(c) = -9*r(c) - 2*w(c). Find t, given that d(t) = 0.
-1
Let s(o) = -o**2 - o - 1. Let v(k) = -16*k**4 - 8*k**3 + 33*k**2 + 4*k - 31. Let g(f) = 6*s(f) - v(f). Factor g(z).
(z - 1)**2*(4*z + 5)**2
Let t be 34/51 - 12/(-9). What is j in 0 - 1/4*j - 1/4*j**t = 0?
-1, 0
Let w be (-1 + -1)*(-2)/2. Determine s so that -3*s**5 + 2 - 8*s**w + 6*s**4 + 0*s**5 - s**5 - 7*s**3 + 11*s**3 = 0.
-1, -1/2, 1
Find f, given that 76/9*f**2 + 50/9*f**3 + 16/9 + 2/9*f**5 + 56/9*f + 16/9*f*