z(c) be the second derivative of -3*c - 1/48*c**4 + 0 + 0*c**2 + 0*c**x. Factor z(s).
-s**2/4
Let u = 39 - 37. Let c(a) be the first derivative of 1/2*a**u - 3 + 0*a**3 + 0*a - 1/4*a**4. Factor c(r).
-r*(r - 1)*(r + 1)
Let b be 1 + (-8)/(-4) + -7. Let g = 4 + b. Let g - 1/2*j**3 + 0*j**2 + 0*j - 1/2*j**4 = 0. What is j?
-1, 0
Let o(r) = -r + 8. Let y(j) = -j**2 - 8*j - 7. Let x be y(-5). Let c be o(x). Factor c*h - 1/2*h**3 + 0 - h**2.
-h**2*(h + 2)/2
Let v(y) be the first derivative of 4*y**3/3 - 4*y**2 - 12*y + 27. Factor v(d).
4*(d - 3)*(d + 1)
Let i be 18/99 + (-97)/(-11). Suppose 5*u = b + 15, 2*b + 3*u = 5*b + i. Factor 0*h + 1/3*h**5 + b*h**2 + 0*h**3 + 0*h**4 + 0.
h**5/3
Let k(l) = -l**5 + l**4 + l**2. Let p(r) = -2*r**5 - 10*r**4 + 24*r**3 - 10*r**2 + 4*r. Let a(d) = -6*k(d) + p(d). Factor a(c).
4*c*(c - 1)**4
Let i(q) be the third derivative of -5/12*q**4 + 1/10*q**5 + 0*q + 0 + 2/3*q**3 - 3*q**2. Factor i(j).
2*(j - 1)*(3*j - 2)
Let v(x) be the second derivative of -x**4/60 + x**2/10 - 2*x. Factor v(h).
-(h - 1)*(h + 1)/5
Let a(y) be the second derivative of -y**7/42 + 2*y**6/15 - 3*y**5/20 - y**4/3 + 2*y**3/3 + 23*y. Factor a(o).
-o*(o - 2)**2*(o - 1)*(o + 1)
Let b(t) be the first derivative of t**4/2 - 4*t**3 - 7*t**2 - 12*t - 1. Let c(n) = 14*n + 1 - 29*n + n**2 + 16*n. Let y(i) = -b(i) - 12*c(i). Factor y(z).
-2*z*(z - 1)*(z + 1)
Let h(k) be the second derivative of -14*k**4/5 - k**3/2 + 9*k**2/5 - 13*k. Factor h(t).
-3*(7*t - 2)*(8*t + 3)/5
Let a(d) be the second derivative of -d**4/12 + d**3/2 + d**2/2 + 6*d. Let u(h) = -h**2 + 2*h + 1. Let k(g) = -2*a(g) + 3*u(g). Solve k(o) = 0 for o.
-1, 1
Let n(l) be the first derivative of l**8/840 - l**7/840 - l**6/120 + l**5/120 + l**4/24 + 2*l**3/3 - 5. Let s(q) be the third derivative of n(q). Factor s(w).
(w - 1)**2*(w + 1)*(2*w + 1)
Let t(i) = -i**2 + 7*i + 14. Let p be t(11). Let g be (12/(-70))/(9/p). Determine h, given that 0 - 2/7*h**3 + g*h**2 - 2/7*h = 0.
0, 1
Let o(n) be the first derivative of -8/7*n - 16/21*n**3 - 18/7*n**2 - 8. Solve o(v) = 0.
-2, -1/4
Let i = 341/2 - 169. Solve i*p**3 + 3/2*p**2 + 0 + 1/2*p + 1/2*p**4 = 0 for p.
-1, 0
Determine o, given that 1/8*o**2 - o + 2 = 0.
4
Let s(p) be the second derivative of -1/15*p**5 - p + 1/12*p**4 + 1/60*p**6 + 0 + 0*p**3 - 1/2*p**2. Let i(z) be the first derivative of s(z). Factor i(w).
2*w*(w - 1)**2
Let n(u) = u**3 - 3*u**2 + 3*u. Let i(v) be the second derivative of -v + 0*v**2 + 1/20*v**5 - 1/12*v**4 + 0 + 1/6*v**3. Let l(x) = -3*i(x) + n(x). Factor l(g).
-2*g**3
Let v(q) = 0 + 2 - 1 + q**2. Suppose 2*o + 5*f = 23, f = 6*f - 25. Let j(s) = -18*s**2 + 4*s - 4. Let p(b) = o*j(b) - 4*v(b). Find w such that p(w) = 0.
0, 2/7
Let s(n) = 3*n**2 + 56*n + 304. Let u(b) = 9*b**2 + 169*b + 911. Let d(m) = 11*s(m) - 4*u(m). Factor d(j).
-3*(j + 10)**2
Let l(o) = -o**2 + 1. Let p be l(-1). Suppose p = -5*z - 15, -i - 2*z - 2 = i. Determine a, given that -3*a + 3*a**3 + 0*a - 4*a**3 - 2*a**3 - 6*a**i = 0.
-1, 0
Let d(u) be the first derivative of 0*u + 3 + 0*u**2 + 1/15*u**3. Factor d(q).
q**2/5
Let g(f) be the first derivative of 15*f**4/4 + 7*f**3 + 3*f**2 + 6. Let g(o) = 0. Calculate o.
-1, -2/5, 0
Let g(x) be the third derivative of 7*x**6/180 - x**5/15 + x**4/21 - 2*x**3/3 + 5*x**2. Let l(w) be the first derivative of g(w). Factor l(v).
2*(7*v - 2)**2/7
Let z(v) be the second derivative of 289*v**5/70 + 221*v**4/42 - 64*v**3/21 + 4*v**2/7 + 63*v. Find i, given that z(i) = 0.
-1, 2/17
Solve -4/5*h - 4/5 - 1/5*h**2 = 0.
-2
Factor 16/9 - 14/9*p**3 - 40/9*p + 2/9*p**4 + 4*p**2.
2*(p - 2)**3*(p - 1)/9
Let j(a) be the third derivative of -3*a**2 + 2/3*a**3 + 0 + 1/840*a**7 + 1/3*a**4 + 0*a + 1/10*a**5 + 1/60*a**6. Factor j(y).
(y + 2)**4/4
Let o(a) be the third derivative of -a**5/510 + a**4/102 - a**3/51 + 8*a**2. Let o(f) = 0. Calculate f.
1
Suppose 9/2 + 1/2*a**3 + 15/2*a + 7/2*a**2 = 0. Calculate a.
-3, -1
Let i be (-3)/2*(-24)/9. Suppose 0*b = -i*b. Find n, given that 1/2*n**3 + b*n**2 + 0*n + 0 = 0.
0
Suppose 2*c - 5 = -1. Factor -h**2 + c*h - 1 - h**2 + h**2.
-(h - 1)**2
Let o be (3 + -4)/(2/(-6)). Factor -8*t**4 - 2*t + 2*t + 6*t**5 + 2*t**o.
2*t**3*(t - 1)*(3*t - 1)
Let 20/7*q - 1/7*q**2 - 100/7 = 0. Calculate q.
10
Let g be 0/(-3 + 1 - -4). Let x(m) be the second derivative of 0*m**5 + g*m**2 - 2*m + 1/12*m**4 - 1/30*m**6 + 0*m**3 + 0. Factor x(w).
-w**2*(w - 1)*(w + 1)
Let x be ((-2)/(-5))/(2/10). Solve i**3 - i - 5/3*i**x + 1/3 + 4/3*i**4 = 0.
-1, 1/4, 1
Let u(l) = -l**3 - l**2 + 2*l. Let q be u(-3). Let t be (2 - -1*q)/2. Solve -10 + 9*c**3 + 10 + t*c**4 + 2*c**2 = 0 for c.
-1, -2/7, 0
Let x(m) = -m**3 - m**2. Let b(y) = -6*y**3 - 8*y**2 - 2*y. Let t(n) = b(n) - 4*x(n). Factor t(i).
-2*i*(i + 1)**2
Let p(h) be the third derivative of h**7/630 - h**6/90 + h**5/36 - h**4/36 + 7*h**2 - 2*h. Let p(s) = 0. Calculate s.
0, 1, 2
Let o = -68/7 + 368/35. Let y(k) = -k**2 + 2*k + 15. Let l be y(5). Let 2/5*g**2 + l + o*g = 0. Calculate g.
-2, 0
Let q(b) = 2*b**3 + 12*b**2 - 34*b - 16. Let a be q(-8). Factor 0 + 2/7*k**4 + 0*k + a*k**3 - 2/7*k**2.
2*k**2*(k - 1)*(k + 1)/7
Solve -4/3*k**5 + 0*k + 0 + 4/3*k**3 + 4/3*k**2 - 4/3*k**4 = 0.
-1, 0, 1
Let n = -1/646 + 971/1292. Factor 1/4*d**2 + 0 - n*d.
d*(d - 3)/4
Let l(m) be the first derivative of -m**4/10 - 2*m**3/15 + 4*m**2/5 + 8*m/5 + 23. Suppose l(u) = 0. Calculate u.
-2, -1, 2
Let 727*k**3 + 1019 + 576*k**2 + 4*k**4 - 647*k**3 + 1728*k + 709 = 0. Calculate k.
-6, -2
Let n(g) be the second derivative of g**6/210 - g**4/84 + 19*g. Factor n(v).
v**2*(v - 1)*(v + 1)/7
Suppose -4*j + 0*j - 4*j**2 - 9*j**5 + 4*j**3 + 4*j**4 + 10*j**5 - j**3 = 0. What is j?
-2, -1, 0, 1
Let j(v) be the first derivative of -4*v**3/21 + 8*v**2/7 - 16*v/7 - 4. Factor j(b).
-4*(b - 2)**2/7
Let n(o) = -5*o**4 + 4*o**3 + o**2 + 4*o - 4. Let g(f) = -f**4 + f**3 + f - 1. Let s(t) = 12*g(t) - 3*n(t). Solve s(a) = 0.
-1, 0, 1
Factor 2/3*n**2 + 20/3*n + 50/3.
2*(n + 5)**2/3
Let m(p) be the first derivative of -p**4/24 + p**3/18 + p**2/6 - 1. Factor m(t).
-t*(t - 2)*(t + 1)/6
Let j be (-4)/1 - (3 + -3). Let w = -4 - j. Factor -2/5*g + w + 2/5*g**2.
2*g*(g - 1)/5
Factor -x**5 + x**5 + 0*x**2 - 12*x**4 + 3*x**5 - 12*x + 12*x**2 + 9*x**3.
3*x*(x - 2)**2*(x - 1)*(x + 1)
Suppose 3*g - k + 21 = 0, -36 = -2*g + 6*g - 4*k. Let x be 6/9 + (-8)/g. Factor 0*c + 0 + 1/4*c**x.
c**2/4
Factor 10*o + 115 + 200*o + 181 - 51 + 45*o**2.
5*(3*o + 7)**2
Let h be (-3)/(-2 - -3) - -6. Solve -3*w**h + 2*w**2 - 4*w**2 - 4*w + 5*w**3 = 0 for w.
-1, 0, 2
Let y(a) be the third derivative of -a**5/240 - a**4/24 - a**3/6 - 6*a**2 + 2. Solve y(l) = 0 for l.
-2
Let t(q) = 36*q**3 - 172*q**2 + 28*q + 28. Let n(d) = -4*d**3 + 19*d**2 - 3*d - 3. Let y(u) = -28*n(u) - 3*t(u). Suppose y(c) = 0. What is c?
0, 4
Let o(v) = 5*v**2 - 6*v + 1. Let n(c) = -6*c**2 + 7*c - 1. Let q(s) = 3*n(s) + 4*o(s). Let b be q(2). Factor 4*j**2 + j - 3*j - j**b - j**3.
-2*j*(j - 1)**2
Suppose r = 5*y + 6, r - 6*r - 42 = -y. Let v(n) = 12*n**2 + 12*n + 9. Let s(q) = -3*q**2 - 3*q - 2. Let g(w) = r*s(w) - 2*v(w). Factor g(m).
3*m*(m + 1)
Let 0*j**3 - 1/2*j**2 + 1/2*j**4 - 1/4*j + 0 + 1/4*j**5 = 0. Calculate j.
-1, 0, 1
Let p be (3*2/(-3))/2. Let r be 27/(-18)*(p + -1). Factor 4*f**2 + r*f**2 - 8*f**2 - f.
-f*(f + 1)
Factor 0*x**3 - 12*x**2 - 57*x + 65*x + 4*x**3.
4*x*(x - 2)*(x - 1)
Find n such that 2*n + 8/3 + 1/3*n**2 = 0.
-4, -2
Let j(m) be the first derivative of m**4/20 + m**3/5 + 3*m**2/10 + m/5 + 7. Determine c so that j(c) = 0.
-1
Let q(n) be the third derivative of -4*n**2 + 0*n - 1/30*n**6 - 17/210*n**5 - 1/84*n**4 + 2/21*n**3 + 0. Let q(w) = 0. What is w?
-1, -1/2, 2/7
Let g = -12 + 16. Suppose 9 = -g*c + 13. Let 3/2*z - 1/2*z**2 - c = 0. What is z?
1, 2
Let k be (1/(-3))/(((-1)/(-1))/(-1)). Let -2/3*g**3 + k + 2/3*g + 0*g**2 - 1/3*g**4 = 0. Calculate g.
-1, 1
Determine a, given that 1/3*a**3 + 0 + 1/3*a + 2/3*a**2 = 0.
-1, 0
Let l = 38 - 23. Factor -l*m**2 + 4*m**4 - 4*m**4 + 4*m**4 + 11*m**2.
4*m**2*(m - 1)*(m + 1)
Let r(b) be the second derivative of -2*b**6/5 - 4*b**5/5 - b**4/3 - 4*b. Determine y, given that r(y) = 0.
-1, -1/3, 0
Suppose -2*a**4 + 0 - 2/3*a**5 + 14/3*a**3 - 12*a + 10*a**2 = 0. What is a?
-3, 0, 1, 2
Let o(c) = -c**5 - c**4 - c**3 + c. Le