 2*h(q). Find s such that u(s) = 0.
-1, 0
Suppose u + 40 = 6*u. Let d(g) = 9*g**2 - 7*g + 8. Let q(p) = -14*p**2 + 10*p - 12. Let y(x) = u*d(x) + 5*q(x). Factor y(o).
2*(o - 2)*(o - 1)
Let k be (2/13)/(10/130). Solve 0 - d + k*d**2 + 21/4*d**3 = 0.
-2/3, 0, 2/7
Let n(b) = -2*b**3 + 95*b**2 - 46*b - 45. Let y be n(47). Solve 0 - 4*z**y + 6/5*z + 6/5*z**3 = 0.
0, 1/3, 3
Let w = 10 - 5. Suppose 2*v - 13 = w*n - 39, 0 = 3*n + 5*v + 3. Factor -2/3*b**n + 4/3*b**2 + 0 - 1/3*b**5 + b**3 - 4/3*b.
-b*(b - 1)**2*(b + 2)**2/3
Suppose 8*c - 2 = 7*c. Let j(p) be the first derivative of 0*p**2 - c + 7/3*p**6 - 4/3*p**3 + 24/5*p**5 + 3/2*p**4 + 0*p. Factor j(v).
2*v**2*(v + 1)**2*(7*v - 2)
Let w be 9*1*(-9)/(-27). Let j(p) = -p**2 + 1 + w*p + p - 6*p + 0. Let m(q) = -q**2 - 3*q + 1. Let o(z) = -3*j(z) + 2*m(z). Factor o(g).
(g - 1)*(g + 1)
Let d(l) = -8*l**4 + 14*l**3 - 2*l**2 + 6*l + 10. Let m(t) = t**4 - t**3 - t - 1. Let j(v) = d(v) + 10*m(v). Factor j(x).
2*x*(x - 1)*(x + 1)*(x + 2)
Let g(y) be the first derivative of y**8/2520 - y**7/315 + y**6/90 - y**5/45 + y**4/36 + 4*y**3/3 - 4. Let i(u) be the third derivative of g(u). Solve i(j) = 0.
1
Let 12*z - z**3 - 6*z - 6*z + 4*z**2 = 0. Calculate z.
0, 4
Let d(v) = -4*v - 34. Let w be d(-9). Factor 1/4*y**3 - 1/4*y + 0 + y**4 - y**w.
y*(y - 1)*(y + 1)*(4*y + 1)/4
Suppose 3*f - 17*z - 2 = -16*z, 2 = -2*f - z. Find t such that f*t**3 + 0*t**2 - 1/2*t**4 + 0 + 0*t - 1/2*t**5 = 0.
-1, 0
Let q(t) be the first derivative of 0*t - 3 + 0*t**2 - 2/3*t**3 - 1/6*t**6 - 4/5*t**5 - 5/4*t**4. Let q(r) = 0. Calculate r.
-2, -1, 0
Let t(a) be the first derivative of -a**3/12 + 3*a**2/8 - a/2 - 1. Find d such that t(d) = 0.
1, 2
Factor -26/15*v**2 - 8/15 + 8/5*v + 4/5*v**3 - 2/15*v**4.
-2*(v - 2)**2*(v - 1)**2/15
Let q be 16/(-12)*((-5)/4 + 1). Solve 1/3*o**2 - q*o + 0 = 0.
0, 1
Let p(y) = y**3 - 4*y**2 - 3*y + 10. Let k(a) = -a**2 - a + 1. Let h(n) = 24*k(n) - 3*p(n). Factor h(d).
-3*(d + 1)**2*(d + 2)
Let p(x) = 23*x**3 - 128*x**2 + 323*x - 262. Let h(k) = -15*k**3 + 85*k**2 - 215*k + 175. Let l(y) = 8*h(y) + 5*p(y). Factor l(d).
-5*(d - 3)**2*(d - 2)
Let k(d) be the second derivative of -d**5/70 + 2*d**4/21 - d**3/21 - 6*d**2/7 + 50*d. Determine v so that k(v) = 0.
-1, 2, 3
Let b(q) be the second derivative of q**6/30 - q**5/5 + q**4/3 - 5*q**2/2 + 2*q. Let g(x) be the first derivative of b(x). Factor g(t).
4*t*(t - 2)*(t - 1)
Find a, given that 2/13*a**2 - 4/13 - 6/13*a**3 + 6/13*a + 2/13*a**4 = 0.
-1, 1, 2
Let u(f) = f**3 - 2*f**2 - 2*f + 4. Let g be u(4). Let k(n) = -n + 2. Let v be k(0). Factor h + 7*h - 12*h**v - 4 + g*h**3 + 34*h**2 + 5 + 4*h**5 + 17*h**4.
(h + 1)**4*(4*h + 1)
Let o(h) be the second derivative of 0 + 1/48*h**4 + 0*h**2 + 3*h - 1/24*h**3. Determine k so that o(k) = 0.
0, 1
Suppose 8*o + o = 0. Factor 0*b - 2*b**4 + 0*b**2 + o + 4/3*b**3 - 10/3*b**5.
-2*b**3*(b + 1)*(5*b - 2)/3
Let d(h) = h - 1. Let a be d(1). Let b = 2 - a. Suppose -4*p - 2 + b - 2*p**2 - 3 + 1 = 0. What is p?
-1
Let v(u) = 3*u. Let s be v(1). Factor 22 - 3*x**s + 3*x**5 - x**2 - 22 + x**4.
x**2*(x - 1)*(x + 1)*(3*x + 1)
Let r(s) be the third derivative of s**8/504 - 2*s**7/315 + s**5/45 - s**4/36 - 7*s**2. Factor r(t).
2*t*(t - 1)**3*(t + 1)/3
Let y(s) be the second derivative of s**6/360 - s**5/60 + s**4/24 + s**3/3 - 3*s. Let p(r) be the second derivative of y(r). Factor p(x).
(x - 1)**2
Suppose -1/6*f**2 - 1/3*f - 1/6 = 0. What is f?
-1
Let h = 3 + -3. Let t(i) be the second derivative of 1/3*i**4 + 3/10*i**5 + 0*i**2 + 2/15*i**6 + 1/42*i**7 + 1/6*i**3 + i + h. Factor t(s).
s*(s + 1)**4
Factor 1 + 6 - 12*n**2 + 9 + 0 + 4*n**3.
4*(n - 2)**2*(n + 1)
Let v = -2/11 - -15/22. Let -1/2*i**5 + 0 + 0*i**2 - i**4 - v*i**3 + 0*i = 0. Calculate i.
-1, 0
Solve -2/11*u**3 - 8/11*u**4 - 2/11*u**5 + 8/11*u + 20/11*u**2 - 16/11 = 0 for u.
-2, 1
Let j = -3 + 9. Suppose -4*x - 2*w + 18 = 0, 3*w = 4*x + j*w - 21. Solve 6*h**3 + 18*h**2 + x*h**3 + 15*h**3 + 4*h + 10*h**4 = 0 for h.
-1, -2/5, 0
Let h(j) = -j - 3. Let q be h(-5). Let p be (q - 0) + (-4 - -4). Factor 0*l**2 + p*l**2 + l**2.
3*l**2
Suppose -6 = 6*c - 3*c. Let x = 4 + c. Factor 2*n - x*n - n**2 - n**2 + 2*n**4.
2*n**2*(n - 1)*(n + 1)
Let k(v) = v**2 + 4*v - 5. Let g = 11 - 16. Let j be k(g). Factor j + 0*m + 2/3*m**3 + 2/3*m**2.
2*m**2*(m + 1)/3
Let d(f) = f**2 + 5*f + 4. Let j(r) = -6*r**2 + 11 - 7*r**2 + 14*r + 16*r**2. Let w(p) = 17*d(p) - 6*j(p). Factor w(m).
-(m - 2)*(m + 1)
Let d be ((0 - 0)/2)/(1 + -2). Factor d - 2/5*h**4 + 0*h**2 + 0*h - 4/5*h**3.
-2*h**3*(h + 2)/5
Let t(n) = n**4 - 14*n**3 + 10*n**2 + 2*n - 2. Let u(y) = 3*y**4 - 57*y**3 + 39*y**2 + 9*y - 9. Let q(z) = -9*t(z) + 2*u(z). Factor q(f).
-3*f**2*(f - 2)**2
Let f(r) = r**2 - 23*r + 3. Let p be f(23). Let o(b) be the second derivative of 1/2*b**2 + 0 - 3*b - 1/3*b**p + 1/12*b**4. Factor o(g).
(g - 1)**2
Suppose 6*h = -0*h. Let m(y) be the third derivative of h - 1/36*y**4 + 0*y + 3*y**2 + 0*y**3 - 1/90*y**5. Factor m(u).
-2*u*(u + 1)/3
Suppose -u + 4 = 3*k - 2*u, -2*k - u = -6. Factor -2*c**k + 4*c**3 - 4*c**3 - 2*c**4 + 4*c**4.
2*c**2*(c - 1)*(c + 1)
Let w(o) be the second derivative of 0*o**5 + 0 + 0*o**3 + o - 1/15*o**6 - o**2 + 1/3*o**4. Determine s, given that w(s) = 0.
-1, 1
Let i = -11 + 15. Suppose -i*c + 26 = 2. Factor -2*z**5 - 2*z**4 + 10*z**3 - 3 - z**4 - 4*z**3 - z**5 - 3*z + c*z**2.
-3*(z - 1)**2*(z + 1)**3
Let y(f) be the first derivative of f**4/42 - 3*f + 3. Let m(z) be the first derivative of y(z). Let m(r) = 0. Calculate r.
0
Let i(k) = 12*k**5 - 21*k**4 - 12*k**3 + 12*k**2 + 9. Let f(r) = 3*r**5 - 5*r**4 - 3*r**3 + 3*r**2 + 2. Let p(z) = -9*f(z) + 2*i(z). Factor p(v).
-3*v**2*(v - 1)**2*(v + 1)
Let o(h) be the second derivative of h**6/240 - h**4/48 + h**2 + 4*h. Let l(i) be the first derivative of o(i). Factor l(q).
q*(q - 1)*(q + 1)/2
Let h(g) be the third derivative of g**7/5040 + g**6/1440 - g**4/24 + g**2. Let k(l) be the second derivative of h(l). Factor k(z).
z*(z + 1)/2
Let m be 12/(-44)*(2 - (2 - -1)). Let w(r) be the first derivative of 2/11*r - 1/22*r**4 + 2/11*r**3 - 3 - m*r**2. Find s, given that w(s) = 0.
1
Suppose 26 = 5*w + 136. Let g be (-7)/w + (-8)/(-44). Factor 3/2*z - 1/2 + g*z**3 - 3/2*z**2.
(z - 1)**3/2
Suppose 10*w = 7*w + 6. Factor 0*o**w + 0*o**2 + 5*o + 21*o**2 + o.
3*o*(7*o + 2)
Let i = -2 + 10. Factor -i*f - 18 - 8*f - 2*f**2 + 4*f.
-2*(f + 3)**2
Let x = 11/46 + 13/138. Solve 0*q - x*q**2 + 1/3*q**4 + 1/3*q**5 + 0 - 1/3*q**3 = 0.
-1, 0, 1
Let g(k) = -k**3 - k**2 - k. Let m(x) = 3*x**4 - 7*x**3 - 10*x**2 - x. Let r(d) = -g(d) + m(d). What is h in r(h) = 0?
-1, 0, 3
Let k(r) be the first derivative of 3*r**4/4 - 3*r**2/2 - 1. Factor k(u).
3*u*(u - 1)*(u + 1)
Let p(m) = -2*m - 3. Let u be p(-3). Find y, given that 4 - 6*y**2 + 18*y**u + 4 - 20*y**3 = 0.
-2, 1
Let h = -2 + 5. Suppose -1 = -h*v + 8. Factor 4*p**3 + 2*p - 2*p**v - 4*p.
2*p*(p - 1)*(p + 1)
Let x = 827 + -27289/33. Let f(c) be the first derivative of 1/11*c**2 + 3 + 0*c + x*c**3. Let f(p) = 0. What is p?
-1, 0
Let r be ((-16)/30)/(20/(-15)). Factor -2/5*q**2 + 2/5 + 2/5*q**3 - r*q.
2*(q - 1)**2*(q + 1)/5
Factor 1/3 - 1/2*p**3 + 1/6*p - 2/3*p**2.
-(p + 1)**2*(3*p - 2)/6
Let u(j) be the third derivative of 0*j + 0*j**3 + 1/30*j**5 + 0*j**4 + 3*j**2 + 0. Factor u(n).
2*n**2
Find x such that -9/4*x**3 + 3/2 + 3/4*x - 3*x**2 = 0.
-1, 2/3
Let t(p) be the second derivative of p**6/225 - p**5/25 + 13*p**4/90 - 4*p**3/15 + 4*p**2/15 + 7*p. Let t(j) = 0. Calculate j.
1, 2
Suppose 6/11*q**2 + 2/11*q**4 + 0 + 2/11*q + 6/11*q**3 = 0. What is q?
-1, 0
Let l(g) = -g**3 + 4*g**2 + 8*g. Let i(r) = -4*r**3 + 15*r**2 + 31*r + 1. Let b(f) = 6*i(f) - 22*l(f). Factor b(o).
-2*(o - 3)*(o + 1)**2
Suppose -3*y = -0*y - 9. Let i be 0 + (-2 - -3) + y. Factor 10/7*d**i + 0*d + 0 - 4/7*d**3 + 0*d**2.
2*d**3*(5*d - 2)/7
Let b = 12 + -9. Let n = 6 - b. Let -14*w**3 - 16*w**n - 3 - 15*w - 15*w**4 - 38*w**2 - 3*w**5 + 8*w**2 = 0. Calculate w.
-1
Let a = -91/2472 - 1/206. Let c = a + 13/24. Solve c*o**2 + 1/2*o + 0 = 0.
-1, 0
Let u be 0 + (-36)/10 - -4. Factor -4/5*i + 0 + u*i**2 + 2/5*i**3.
2*i*(i - 1)*(i + 2)/5
Let q(c) be the first derivative of -c**5/24 + c**4/16 + c**3/6 + c**2 - 3. Let g(i) be the second derivative of q(i). Solve g(