, given that -g*z**2 - 2 + 0 + 6*z**4 - 10*z + 6 + 0 + 10*z**3 = 0.
-2, -1, 1/3, 1
Factor -1/7 - 4/7*t**3 - 6/7*t**2 - 1/7*t**4 - 4/7*t.
-(t + 1)**4/7
Let o(z) be the first derivative of 12*z**5/5 + z**4 - 4*z**3 - 2*z**2 - 8. Factor o(a).
4*a*(a - 1)*(a + 1)*(3*a + 1)
Let f = 555 - 553. What is c in 24/7*c - 27/7*c**f - 4/7 - 20/7*c**3 = 0?
-2, 1/4, 2/5
Let n(y) be the third derivative of -y**6/40 + 3*y**5/20 + 11*y**2. Factor n(a).
-3*a**2*(a - 3)
Let h be (-4)/26 - (-84)/39. Let g(b) be the first derivative of -1/9*b**3 + 0*b + 1/3*b**h + 1. Factor g(j).
-j*(j - 2)/3
Find c, given that 0 - 16/5*c**2 - 18/5*c**5 - 12/5*c**4 + 0*c + 8*c**3 = 0.
-2, 0, 2/3
Let 0*f - 4/5*f**4 + 0 - 14/5*f**3 + 2/5*f**5 - 8/5*f**2 = 0. Calculate f.
-1, 0, 4
Let m(g) = -g**2 - 10*g + 2. Let j = 0 - -4. Suppose -x - j*x + 30 = 0. Let i(y) = -y + 1. Let s(c) = x*i(c) - m(c). Factor s(q).
(q + 2)**2
Factor 7*n**3 + n - 4 - 5*n**2 - 2*n**3 - 3*n**3 + 6.
(n - 2)*(n - 1)*(2*n + 1)
Let j(c) = -2*c + 7 + 0*c + 3*c. Let p be j(-5). Factor 0*x**2 + p*x**3 - 8*x**2 + 2 + 14*x**2 + 6*x.
2*(x + 1)**3
Let j(p) be the first derivative of 1/1080*p**6 + 1/360*p**5 + 1 + 0*p**4 + 2/3*p**3 + 0*p + 0*p**2. Let y(k) be the third derivative of j(k). Factor y(o).
o*(o + 1)/3
Let c(y) = -49*y**5 + 44*y**4 - 8*y**3 + y**2 - 3. Let b(m) = -m**5 + m**3 - m**2 + 1. Let d(u) = -3*b(u) - c(u). Determine f so that d(f) = 0.
-2/13, 0, 1/2
Let y(x) = x. Let o(n) = 2*n**3 - n - 2. Let f(z) = o(z) - 3*y(z). Let b(c) = -2*c**3 - c**2 + 4*c + 3. Let m(d) = -2*b(d) - 3*f(d). What is i in m(i) = 0?
-1, 0, 2
Let c(m) be the first derivative of m**8/504 - m**6/90 + m**4/36 + 2*m**2 + 4. Let l(w) be the second derivative of c(w). Factor l(p).
2*p*(p - 1)**2*(p + 1)**2/3
Let z(d) = 51*d**4 - 90*d**3 - 27*d**2 + 39*d + 27. Let i(y) = -4*y**4 + 7*y**3 + 2*y**2 - 3*y - 2. Let t(g) = 27*i(g) + 2*z(g). Factor t(m).
-3*m*(m - 1)**2*(2*m + 1)
Let h = -5 + -11. Let v be (-6)/(-27) + h/(-9). Find x such that 1/3*x**v + 0 - 1/3*x = 0.
0, 1
Let n(y) be the second derivative of -y**5/60 + y**4/18 - 5*y. Suppose n(z) = 0. What is z?
0, 2
Let n(g) = 4*g**3 + 4*g**2 - 2*g. Let k(u) = -5*u**3 - 4*u**2 + 3*u. Let j(t) = 4*k(t) + 6*n(t). Let j(a) = 0. Calculate a.
-2, 0
Let w be -5*(0 - 4/10). Suppose -4*g + 16 = 4*i, -w = -5*i + 4*i. Factor -3*p - g*p**2 + 9*p + 5*p**2.
3*p*(p + 2)
Let i(o) = 2*o - 100. Let d be i(50). Solve d*v**2 + 2/3*v**3 - 4/3*v**4 + 2/3*v**5 + 0 + 0*v = 0.
0, 1
Let c(a) be the second derivative of a**5/110 - a**4/132 - a**3/66 - 7*a. Suppose c(q) = 0. Calculate q.
-1/2, 0, 1
Let x be 16/140 - (-2)/7. Let r = 0 - -2. Suppose x*w**r - 4/5*w + 0 = 0. What is w?
0, 2
Factor 11/2*k**3 - 3/2*k**4 - 1 + 9/2*k - 15/2*k**2.
-(k - 1)**3*(3*k - 2)/2
Let l(r) be the first derivative of r**7/3780 - r**6/540 + r**5/180 - r**4/108 + r**3 - 3. Let d(z) be the third derivative of l(z). Factor d(o).
2*(o - 1)**3/9
Let m(q) = q**2 - 1. Let u(x) = -x**2 + 3*x + 5. Let s be u(4). Let o be m(s). Factor 0*w + 0*w**2 + 0 + o*w**3 + 2/5*w**4.
2*w**4/5
Let q(b) be the third derivative of b**7/42 + b**6/24 - b**5/12 - 5*b**4/24 - 8*b**2. Suppose q(w) = 0. Calculate w.
-1, 0, 1
Suppose 0 = 2*j + 2*r - 8, -17*r + 15*r = -4. Suppose -4/3*q**j + 2*q + 2/9*q**3 - 8/9 = 0. Calculate q.
1, 4
Let j(q) be the third derivative of 3*q**7/70 - q**6/8 + q**5/20 + q**4/8 + 15*q**2. Factor j(h).
3*h*(h - 1)**2*(3*h + 1)
Let g(v) = v**2 + 3*v + 5. Let a be g(-6). Suppose -r + 3*r + 3*l - a = 0, l - 5 = 0. Factor 5*h**r + h**3 - 2*h**4 - 2*h**4.
h**3*(h + 1)
Find k such that -36/5*k + 12/5*k**3 - 27/5 - 3/5*k**4 + 6/5*k**2 = 0.
-1, 3
Let g be 4*(-3)/6 - -6. Suppose -3*n - g*d - 10 - 2 = 0, -4*d - 12 = 0. Determine x, given that 0 + 0*x**4 + 1/4*x**3 + 0*x**2 - 1/4*x**5 + n*x = 0.
-1, 0, 1
Factor 0 - 2/15*a**2 - 4/15*a.
-2*a*(a + 2)/15
Let a(t) = -13*t**2 + 19*t - 6. Let x(q) = 9*q**2 - 13*q + 4. Let g(c) = 5*a(c) + 7*x(c). Factor g(n).
-2*(n - 1)**2
Let u(t) = 7*t**2 + 3. Let h(b) = -22*b**2 - 10. Let s(d) = 5*h(d) + 16*u(d). Factor s(j).
2*(j - 1)*(j + 1)
Let s = -404/7 - -3916/63. Let b = 14/3 - s. Factor b - 4/9*z**2 - 4/9*z**3 + 2/9*z**5 + 2/9*z + 2/9*z**4.
2*(z - 1)**2*(z + 1)**3/9
Let m(y) = -3*y**2 - 26*y - 31. Let h be m(-7). Solve 1/3*s**h + 0*s - 1/3*s**5 + 1/3*s**3 + 0 - 1/3*s**2 = 0 for s.
-1, 0, 1
Let l be -24 + 23 - (-3)/2. Let x be (-1 - 1)*1*-1. Factor 3/4*h - 5/4*h**x + l.
-(h - 1)*(5*h + 2)/4
Let p(x) = -2*x. Let g be p(-1). Solve 3*y - y**2 - y - g*y = 0 for y.
0
Let v(h) be the second derivative of -14*h**6/45 + 11*h**5/30 + 5*h**4/18 - 2*h**3/9 - 7*h. Suppose v(y) = 0. What is y?
-1/2, 0, 2/7, 1
Factor 3*p**3 + 3/2*p**5 + 0*p**2 + 0 + 9/2*p**4 + 0*p.
3*p**3*(p + 1)*(p + 2)/2
Suppose -10 + 5 = -x, 3*m - 17 = -x. Factor 4/9*p**3 + 0 + 2/9*p**2 + 2/9*p**m + 0*p.
2*p**2*(p + 1)**2/9
Let y(h) be the third derivative of h**8/1344 - h**7/420 - h**6/360 + 7*h**3/6 - h**2. Let t(g) be the first derivative of y(g). Factor t(b).
b**2*(b - 2)*(5*b + 2)/4
Let d be (318/(-80) - -3) + 1. Let m(v) be the second derivative of -v**3 + 2*v - d*v**5 + 2*v**2 + 0 + 1/4*v**4. Suppose m(b) = 0. Calculate b.
2
Let h be (12/20)/((-9 - -4)/(-25)). Let a(p) be the second derivative of 0*p**2 + 1/48*p**4 + 1/12*p**h - 4*p + 0. Factor a(m).
m*(m + 2)/4
Let w(f) be the second derivative of -1/20*f**5 - 1/5*f**2 + 5*f - 1/150*f**6 - 3/20*f**4 - 7/30*f**3 + 0. Factor w(v).
-(v + 1)**3*(v + 2)/5
Let j(m) be the third derivative of 0*m + 1/21*m**3 - 5*m**2 + 1/105*m**6 - 1/21*m**4 - 1/245*m**7 + 1/105*m**5 + 0. Find q such that j(q) = 0.
-1, 1/3, 1
Let a = 0 + 2. Suppose 0 = 5*v + 2*b, -a*v + 3*v = -5*b. Find g, given that v + 1/3*g**4 + 2/3*g**3 + 1/3*g**2 + 0*g = 0.
-1, 0
Suppose 3*q - 2*q + 1 = k, 3*k = 12. Let s(a) be the third derivative of 1/36*a**q - 1/360*a**5 - 1/720*a**6 + 1/144*a**4 + 0 + 0*a + 3*a**2. Factor s(v).
-(v - 1)*(v + 1)**2/6
Let -7*i + 51*i - 5*i**3 + 40 - 24*i - 10*i**2 = 0. What is i?
-2, 2
Let o(g) = 10*g**2 - 70*g + 15. Let u(t) = -t**2 + t - 1. Let i(c) = o(c) + 15*u(c). Determine l so that i(l) = 0.
-11, 0
Solve 1/3 + 1/2*z**2 - 5/6*z - 1/6*z**4 + 1/6*z**3 = 0.
-2, 1
Let n(k) be the third derivative of 0 - 1/1050*k**7 + 1/30*k**3 - 2*k**2 + 0*k + 1/60*k**4 + 0*k**5 - 1/300*k**6. Factor n(m).
-(m - 1)*(m + 1)**3/5
Let a(g) be the first derivative of 1/4*g + 1/4*g**5 + 5/8*g**4 - 4 + 5/6*g**3 + 1/24*g**6 + 5/8*g**2. Factor a(q).
(q + 1)**5/4
Let v(o) be the first derivative of 2*o**6/9 - 8*o**5/3 + 97*o**4/12 + 29*o**3/9 - 65*o**2/6 - 25*o/3 - 13. Solve v(x) = 0.
-1/2, 1, 5
Let k = 1 + 0. Let w(h) = 18*h**3 - 12*h**2 - 15*h - 15. Let s(b) = b**3 - b**2 - b - 1. Let v(q) = k*w(q) - 15*s(q). Factor v(y).
3*y**2*(y + 1)
Let j(v) be the third derivative of -3*v**8/112 - 17*v**7/245 - v**6/280 + 4*v**5/35 + v**4/14 - 4*v**2. Let j(b) = 0. What is b?
-1, -2/7, 0, 2/3
Let g(b) be the first derivative of b**6/33 + 2*b**5/55 - 16. Factor g(y).
2*y**4*(y + 1)/11
Solve -5/3*p**5 + 5/3*p**3 - 20/3 + 35/3*p**2 - 5*p**4 + 0*p = 0 for p.
-2, -1, 1
Let t(s) be the second derivative of -s**4/4 + 9*s**3 - 51*s**2/2 + 23*s. Factor t(c).
-3*(c - 17)*(c - 1)
Suppose -5*s + 4*q + 12 = -3*s, 3*s + 4*q + 2 = 0. Factor n + 2*n**s - 2*n**4 + 1 - 1 - n**5.
-n*(n - 1)*(n + 1)**3
Factor -1/5*d**2 - 2/5*d**3 + 2/5*d + 1/5*d**4 + 0.
d*(d - 2)*(d - 1)*(d + 1)/5
Suppose -3 = -5*f + 3*w, 3*f + 5*w - 29 = -0*f. Determine z so that -4*z**4 + 7*z**2 - 2*z**f - 2*z**5 - 7*z**2 = 0.
-1, 0
Let h(i) = -i**3 - 10*i**2 - 3*i - 25. Let p be h(-10). Let m = -7 - -10. Factor 0*c - 6/5*c**m + 0*c**4 + 4/5*c**2 + 2/5*c**p + 0.
2*c**2*(c - 1)**2*(c + 2)/5
Let k(b) = 3*b**2 + 1. Let u be k(1). Solve -2*c**2 - 4*c + 3 - u - 3 + 2 = 0.
-1
Determine v, given that 72/5*v**2 - 3/5*v**5 + 0 - 3/5*v**3 - 48/5*v - 18/5*v**4 = 0.
-4, 0, 1
Let d(w) be the first derivative of w**6/2 - 3*w**5/5 - 3*w**4/2 + 2*w**3 + 3*w**2/2 - 3*w + 4. Factor d(b).
3*(b - 1)**3*(b + 1)**2
Let r(q) be the third derivative of -q**5/15 + q**4/2 - 4*q**3/3 + 5*q**2. Suppose r(s) = 0. Calculate s.
1, 2
Suppose -h + 3 = -4*y, -y - 5*h + 2 = -13. Solve 0*i + y*i**2 + 0 + 0*i**3 + 2/3*i**5 + 2/3*i**4 = 0 for i.
-1, 0
Let k(r) be the second derivative of -r**7/210 + r**6/50 - 3*r**5/100 + r**4/60 + 5*r. What i