 second derivative of s**6/165 - s**5/55 - s**4/22 + 4*s**3/33 + 4*s**2/11 + 4*s. Factor u(o).
2*(o - 2)**2*(o + 1)**2/11
Factor -4/5*y**2 + 0*y**3 + 2/5 + 0*y + 2/5*y**4.
2*(y - 1)**2*(y + 1)**2/5
Let g = 24 - 16. Suppose o = -o + g. Suppose -n**2 - 3*n + 0*n**2 + o*n = 0. Calculate n.
0, 1
Factor 5*d**3 - 6 + 12*d**3 - 43*d**2 - 4*d**3 + 7*d**3 + 29*d.
(d - 1)*(4*d - 3)*(5*d - 2)
Let f(u) be the third derivative of 0 - 1/36*u**4 + 0*u**3 - 1/45*u**5 + 2*u**2 + 0*u - 1/180*u**6. Factor f(w).
-2*w*(w + 1)**2/3
Let s(j) be the first derivative of 3*j**5/25 - 7*j**4/10 + 4*j**3/15 + 3*j**2 + 9*j/5 - 4. Factor s(c).
(c - 3)**2*(c + 1)*(3*c + 1)/5
Let s(a) = 2*a**3 + 13*a**2 + 6*a + 2. Let r be s(-6). Factor 3/2*n**3 - 2*n**r + 0 + 1/2*n.
n*(n - 1)*(3*n - 1)/2
Let p(a) be the third derivative of -a**5/80 - a**4/32 + a**3/4 - 2*a**2. Factor p(z).
-3*(z - 1)*(z + 2)/4
Let m(x) be the third derivative of -x**7/5880 + x**6/560 - x**5/140 + 3*x**4/8 - 2*x**2. Let n(s) be the second derivative of m(s). Factor n(j).
-3*(j - 2)*(j - 1)/7
Let w(v) be the second derivative of v**5/40 - v**4/6 - v**3/12 + v**2 + 10*v. Factor w(s).
(s - 4)*(s - 1)*(s + 1)/2
Let u(v) be the second derivative of 0*v**2 + 1/6*v**5 + 1/45*v**6 + 0 + 4/9*v**4 + 4/9*v**3 - 3*v. Factor u(r).
2*r*(r + 1)*(r + 2)**2/3
Let u(d) be the third derivative of -d**8/1344 + d**6/240 - d**4/96 - 4*d**2. Let u(z) = 0. Calculate z.
-1, 0, 1
Factor 0 - 2/11*i**3 + 0*i + 0*i**2.
-2*i**3/11
Let y(g) be the third derivative of -g**5/20 + 16*g**2. Factor y(n).
-3*n**2
Find k such that 9*k - 27/5*k**2 + 15 + 3/5*k**3 = 0.
-1, 5
Let 0 + 1/2*c - 1/4*c**2 = 0. Calculate c.
0, 2
Let y(g) = -3*g. Let a be y(-1). Let m(z) be the first derivative of 3 - 3/5*z**2 - 4/5*z + 4/15*z**a. Suppose m(k) = 0. Calculate k.
-1/2, 2
Let h(j) be the third derivative of -j**8/10080 - j**5/15 + 3*j**2. Let v(p) be the third derivative of h(p). Find w, given that v(w) = 0.
0
Let g(i) be the first derivative of -2 - 1/12*i**3 + 1/16*i**4 + 0*i + 0*i**2. Factor g(r).
r**2*(r - 1)/4
Let w(a) be the first derivative of a**6/3 - 2*a**5 + 4*a**4 - 8*a**3/3 + 29. Find s, given that w(s) = 0.
0, 1, 2
Let g(c) be the second derivative of c**7/14 + c**6/10 - 3*c**5/20 - c**4/4 - 3*c. Solve g(y) = 0.
-1, 0, 1
Let z = 12 + -12. Let k(t) be the first derivative of -1/5*t**2 - 4/15*t**3 + z*t - 1/10*t**4 - 2. Factor k(w).
-2*w*(w + 1)**2/5
Let d be (-8)/16*(-1 + -1). Let f(y) = -y**5 + y**4 + y + 1. Let r(q) = 2*q**5 - q**4 + 3*q**3 - 4*q**2 - 7*q - 3. Let x(b) = d*r(b) + 3*f(b). Factor x(j).
-j*(j - 2)**2*(j + 1)**2
Factor -24 - 3/2*o**2 + 12*o.
-3*(o - 4)**2/2
Suppose 0*m - 4*p + 16 = m, -2*p = -3*m - 8. Let g(t) be the first derivative of -2*t + 2/3*t**3 + m*t**2 + 3. Factor g(b).
2*(b - 1)*(b + 1)
Let h(t) = 9*t**2 - 17*t + 3. Let j(k) = 10*k**2 - 18*k + 2. Let a(r) = -6*h(r) + 5*j(r). Find b, given that a(b) = 0.
1, 2
Let r(s) be the third derivative of 0*s**4 + 0*s + 1/240*s**6 + 0*s**3 + 0 - 3*s**2 - 1/120*s**5. Determine q so that r(q) = 0.
0, 1
Let c(l) be the third derivative of l**8/1176 - 4*l**7/735 + l**6/84 - l**5/105 - 3*l**2. Factor c(g).
2*g**2*(g - 2)*(g - 1)**2/7
Suppose x + z - 3 = -0, 9 = -2*x + 3*z. Let n(d) be the first derivative of 1/10*d**2 + 3 - 1/25*d**5 + 3/20*d**4 - 1/5*d**3 + x*d. Find g, given that n(g) = 0.
0, 1
Let f(d) be the first derivative of 0*d**2 - 1/240*d**5 - 1/1440*d**6 + 0*d - d**3 - 1/96*d**4 - 3. Let q(m) be the third derivative of f(m). Factor q(s).
-(s + 1)**2/4
Let c(n) be the first derivative of n**6/60 + n**5/20 - 5*n + 6. Let s(v) be the first derivative of c(v). Factor s(p).
p**3*(p + 2)/2
Let y(m) be the second derivative of -m**4/30 - m**3/5 - 29*m. Factor y(j).
-2*j*(j + 3)/5
Let g(l) = -9*l - 2. Let a be g(2). Let t be -2 - (a/2)/2. Suppose f**t - f**2 + 5*f**2 - 3*f**3 - 2*f = 0. Calculate f.
0, 1
Let f = 125 - 623/5. Suppose -3*k = 5*s - 19, 5*s + 2*k = -7 + 23. Solve 2/5 - 4/5*q + f*q**s = 0 for q.
1
Factor 0*m - 3/2*m**4 + 0 - m**3 + 0*m**2.
-m**3*(3*m + 2)/2
Let t(m) = 19*m**5 - 25*m**4 + 13*m**3 + 13. Let q(h) = -9*h**5 + 12*h**4 - 6*h**3 - 6. Let u(a) = 13*q(a) + 6*t(a). Factor u(i).
-3*i**4*(i - 2)
Suppose -2/5 - 2/5*q**4 + 0*q**3 + 4/5*q**2 + 0*q = 0. Calculate q.
-1, 1
Let u(w) = -w**4 - 27*w**3 + 64*w**2 - 5*w - 5. Let b(v) = 2*v**4 + 40*v**3 - 96*v**2 + 8*v + 8. Let m(h) = 5*b(h) + 8*u(h). Let m(n) = 0. Calculate n.
0, 4
Let d be (54/10)/(3/15). Let y be 48/d + (-2)/(-9). Factor 0 + 1/4*w**y - 1/4*w.
w*(w - 1)/4
Let l(w) = w**4 + 1. Let h be (-5 - -4)*(2 - 1). Let i(s) = -34*s**4 + 55*s**3 - 24*s**2 - 5*s - 4. Let a(y) = h*i(y) - 6*l(y). Factor a(q).
(q - 1)**2*(4*q - 1)*(7*q + 2)
Let z(r) be the third derivative of r**9/30240 - r**7/2520 - r**5/15 + 3*r**2. Let n(g) be the third derivative of z(g). Factor n(q).
2*q*(q - 1)*(q + 1)
Find z, given that -1/3*z**2 + 1/3*z**3 - 1/3*z + 0 + 1/3*z**4 = 0.
-1, 0, 1
Factor 2*y + 2/5 + 8/5*y**2.
2*(y + 1)*(4*y + 1)/5
Let s(f) = f**2 + 2*f + 1. Let p be s(-3). Let -4*j**2 - 8*j**4 + 4*j**3 + 7*j**3 + 0*j**p - j**3 + 2*j**5 = 0. Calculate j.
0, 1, 2
Suppose 4*c + 0*y = 3*y - 59, 4*c + 3*y = -53. Let r = c + 29/2. Suppose 1/2 + r*b**2 - b = 0. What is b?
1
Suppose 3 - 2 + 52*z + 11 + 16*z**2 = 0. What is z?
-3, -1/4
Let m(k) = k**2 + 3*k - 4. Let j(d) = -d - 1. Let f(o) = -6*j(o) - 3*m(o). Suppose f(s) = 0. Calculate s.
-3, 2
Let c be (11 + -11)*(0 + 1). Let n(b) be the second derivative of 0*b**5 - 1/18*b**4 + 1/6*b**2 + 1/90*b**6 + c*b**3 - 2*b + 0. Let n(u) = 0. Calculate u.
-1, 1
Suppose -8*n = -42 + 10. What is k in -2/11*k**n - 10/11*k**2 + 0 - 8/11*k**3 - 4/11*k = 0?
-2, -1, 0
Let a(x) be the first derivative of 4*x**5/5 - x**4/4 - 4*x**3 + 11*x**2/2 - 2*x + 8. Factor a(w).
(w - 1)**2*(w + 2)*(4*w - 1)
Let j(n) be the third derivative of n**7/140 + n**6/80 - n**5/40 - n**4/16 - 6*n**2. Determine d so that j(d) = 0.
-1, 0, 1
Factor -2/3*t - 4/3*t**3 + 2/9*t**5 + 0*t**4 - 16/9*t**2 + 0.
2*t*(t - 3)*(t + 1)**3/9
Let z(j) = -j**4 + 3*j**3 + 9*j**2 - 5*j. Let b(t) = -4*t**3 - 8*t**2 + 4*t. Let h(d) = -3*b(d) - 4*z(d). Determine f so that h(f) = 0.
-2, 0, 1
Let p(h) = -h**3 + 4*h**2 + 4*h + 7. Let k be p(5). Let z(u) = -u + 2. Let c be z(-2). What is l in -3 + 3*l**3 - 3*l**2 + 3 - 5*l**5 + k*l**5 + 3*l**c = 0?
-1, 0, 1
Suppose -2*i - 4 = 0, r - 4*r = -i - 26. Suppose -3*u + r = -u. Suppose u*z**2 - 2*z**3 + 3*z**3 - 5*z**2 = 0. Calculate z.
0, 1
Suppose 0 = 5*z + 4*m - 8, 2*z + m = 3*z - 7. Find p, given that 0 - 2*p**2 - 2/7*p**5 - 4/7*p - 18/7*p**3 - 10/7*p**z = 0.
-2, -1, 0
Let h be 60/18 + -4 + 1. Let d(w) be the first derivative of 1 - w**2 + 0*w + h*w**3. Let d(o) = 0. Calculate o.
0, 2
Let o(j) be the third derivative of -j**8/10080 - j**7/1260 - j**6/360 - j**5/180 + j**4/8 + 3*j**2. Let a(s) be the second derivative of o(s). Factor a(d).
-2*(d + 1)**3/3
Suppose -w + 3*z - 83 = -3*w, 117 = 3*w - 3*z. Let x = -38 + w. Let 8/3*m + 0 + 4*m**x + 2*m**3 + 1/3*m**4 = 0. Calculate m.
-2, 0
Let d = 24 - 21. Let t(s) be the first derivative of 4*s - d - 2/3*s**3 + s**2. Determine k, given that t(k) = 0.
-1, 2
Let b(r) be the third derivative of r**8/504 + 2*r**7/315 + r**6/180 + 25*r**2. Let b(a) = 0. Calculate a.
-1, 0
Suppose 6*i = 3*i + 6. Factor -8*b - 4*b**i + 8*b + 3*b**2 + 1.
-(b - 1)*(b + 1)
Factor 5/2*p**2 + 5/3*p + 0 + 5/6*p**3.
5*p*(p + 1)*(p + 2)/6
Let p = -23 + 17. Let q(c) = 18*c**3 - 17*c**2 - 31*c + 17. Let i(a) = 10*a**3 + 8 - 8*a**2 - 15*a + 0 - a**3. Let b(f) = p*q(f) + 13*i(f). Factor b(y).
(y - 1)*(y + 1)*(9*y - 2)
Suppose -1/5*f**5 + 0 + 4/5*f**4 - 2/5*f**3 + 3/5*f - 4/5*f**2 = 0. What is f?
-1, 0, 1, 3
Let u(a) be the third derivative of 0 - 1/18*a**3 + 2*a**2 - 1/36*a**4 - 1/180*a**5 + 0*a. Determine x so that u(x) = 0.
-1
Let z(m) = m**3 - 5*m**2 + 2*m - 5. Let i be z(5). Let n(h) = h - 3. Let q be n(i). Factor 2 + 6*p**2 - 4*p - 4*p**3 + q*p**3 - 2*p.
-2*(p - 1)**3
Let g(y) be the third derivative of -1/672*y**8 + 1/48*y**4 + y**2 - 1/210*y**7 + 0*y**6 + 0*y**3 + 0*y + 0 + 1/60*y**5. Factor g(v).
-v*(v - 1)*(v + 1)**3/2
Let k(p) = p**2 + 4*p + 0 - p**4 - p**3 - 5*p + 1. Let s(q) = 12*q**4 + 6*q**3 - 12*q**2 + 14*q - 10. Let i(n) = -10*k(n) - s(n). What is u in i(u) = 0?
-1, 0, 1, 2
Let j(k) be the th