te o.
-1, 0
Let h(b) = -11*b**4 - 14*b**3 + 35*b**2 + 50*b + 14. Let q(w) = -w**4 - w**3 + w**2 + w + 1. Let l(v) = -h(v) + 2*q(v). Suppose l(k) = 0. Calculate k.
-2, -1, -1/3, 2
Let f(z) = 10*z**2 - 8*z - 6. Let r(o) = -19*o**2 + 16*o + 13. Let q(h) = -11*f(h) - 6*r(h). Factor q(b).
4*(b - 3)*(b + 1)
Factor 13*o**2 - 18*o**2 - 3*o**4 + 8*o**4.
5*o**2*(o - 1)*(o + 1)
Let g be (0/(-9))/(1*3). Let m(z) be the third derivative of 0*z**4 + 0*z**5 + 0 + 1/240*z**6 - 1/420*z**7 - z**2 + g*z + 0*z**3. Factor m(y).
-y**3*(y - 1)/2
Solve 6/7*m - 6/7*m**2 + 2/7*m**3 - 2/7 = 0.
1
Let o(c) be the first derivative of -3*c**4/4 - 12*c**3 - 135*c**2/2 - 150*c - 49. Factor o(w).
-3*(w + 2)*(w + 5)**2
Let d = 109/194 + -6/97. Factor -d + 0*x + 1/2*x**2.
(x - 1)*(x + 1)/2
Factor 0*u**3 + 0 - 2/9*u**4 + 2/9*u**2 + 0*u.
-2*u**2*(u - 1)*(u + 1)/9
Let m(q) be the second derivative of 3*q**5/50 + q**4/6 + 2*q**3/15 - q. Factor m(k).
2*k*(k + 1)*(3*k + 2)/5
Suppose u = 3*g - 10, -3*g + 0*g + 35 = 4*u. Factor -5*l**4 - 3*l + l + 4*l**u - 3*l**4 - 3*l**3 + 7*l**2.
l*(l - 2)*(l + 1)*(2*l - 1)**2
Let g(u) = -3*u**4 - u**3 + 3*u**2 + u. Suppose 10 = -4*b - b. Let y(x) = 13*x**4 + 4*x**3 - 13*x**2 - 4*x. Let m(n) = b*y(n) - 9*g(n). Factor m(f).
f*(f - 1)*(f + 1)**2
Let y = 7 + -11. Let x be 2/y + 35/14. Find l, given that -l**2 + 8*l**3 - 3*l**3 - 2*l**3 + 1 - l - x*l**3 = 0.
-1, 1
Suppose 0*p = -2*p + 6. Factor p*b**2 - b**2 + 2 + 2*b**3 - 2.
2*b**2*(b + 1)
Let w be 1/(-3) + (-40)/(-105). Let y(o) be the second derivative of w*o**3 - 1/42*o**4 + 0*o**2 - 2*o + 0. Let y(a) = 0. Calculate a.
0, 1
Let v(x) be the first derivative of -x**4/2 + 8*x**3/3 - 5*x**2 + 4*x + 11. Factor v(z).
-2*(z - 2)*(z - 1)**2
Let x(u) be the first derivative of -u**7/420 + u**6/30 - u**5/5 + 2*u**4/3 + 2*u**3 - 2. Let v(n) be the third derivative of x(n). Solve v(s) = 0.
2
Solve -4/11*j - 2/11*j**2 + 0 = 0 for j.
-2, 0
Let c(g) = -g**2 + 6*g - 3. Let i be (-42)/(-8) + 1/(-4). Let n be c(i). Factor -2*j - j**n - 1 + 2*j + 2*j + 0*j**2.
-(j - 1)**2
Let v be 6/(0 + -3) + 4. Factor -2 + 4*d**3 - 6*d**3 + 2*d + 2*d**v + 0.
-2*(d - 1)**2*(d + 1)
Suppose -2*i = -8, -h - 3*i - 2*i + 11 = 0. Let f be (-20)/h + (-12)/54. Factor -4/3*y**4 + 0 + 0*y**2 - f*y**3 + 2/3*y.
-2*y*(y + 1)**2*(2*y - 1)/3
Let w(b) be the first derivative of 3/2*b**2 - 3/4*b**4 - 1 + b**3 - 3/5*b**5 + 0*b. Suppose w(p) = 0. Calculate p.
-1, 0, 1
Let u = -27 - -30. Let w be (-18)/(-54)*u/2. Find g, given that 0 - w*g**2 + 0*g = 0.
0
Determine l, given that 2*l**2 + 588 + 84*l + 16*l**2 - 15*l**2 = 0.
-14
Determine h, given that -2/7 - 4/7*h + 6/7*h**2 = 0.
-1/3, 1
Suppose 3*r = 5*j - 7, -j = -0*r - 2*r. Factor 6*a + 25*a**2 - 6 - 5*a**j + 16*a - 12*a**2.
2*(a + 3)*(4*a - 1)
Let 6*v**5 - v**3 - 4*v**5 - v**5 = 0. Calculate v.
-1, 0, 1
Let i(d) be the second derivative of d**5/10 - d**4/2 + d**3 - d**2 + 6*d. Factor i(n).
2*(n - 1)**3
Let p(h) be the second derivative of -2*h**7/21 + 2*h**6/15 + 3*h**5/5 - 5*h**4/3 + 4*h**3/3 - 18*h. Solve p(j) = 0 for j.
-2, 0, 1
Let w(b) be the first derivative of -2*b**3/3 - 5*b**2/2 + 3*b - 2. Let z = 14 - 30. Let d(f) = -10*f**2 - 26*f + 16. Let i(m) = z*w(m) + 3*d(m). Factor i(r).
2*r*(r + 1)
Factor 2/3*l**2 + 2/3*l**3 - 2/3*l - 2/3.
2*(l - 1)*(l + 1)**2/3
Let t(m) be the first derivative of m**6/30 - 2*m**5/25 + m**4/20 - 5. Factor t(x).
x**3*(x - 1)**2/5
Let v = -2 - -11. Let a be (6/v)/(2/6). Find k, given that -k**2 - 3*k**3 + k**3 - k**a = 0.
-1, 0
Determine f, given that 1/3*f**5 + 0*f**3 + 2/3*f**4 - 1/3*f + 0 - 2/3*f**2 = 0.
-1, 0, 1
Suppose 2*t = 4*c + 4, t - 4*c - 4 + 0 = 0. Suppose 2/13*r**5 - 4/13*r**3 + t*r**2 + 0 + 2/13*r + 0*r**4 = 0. What is r?
-1, 0, 1
Let h(n) be the first derivative of 2*n**5/25 + n**4/5 + 10. What is s in h(s) = 0?
-2, 0
Let j(r) be the second derivative of -r**4/6 + 7*r**3/9 - 2*r**2/3 + 21*r. Suppose j(x) = 0. Calculate x.
1/3, 2
Let y(x) be the third derivative of -x**8/840 - x**7/525 + x**6/300 + x**5/150 - 16*x**2. Factor y(r).
-2*r**2*(r - 1)*(r + 1)**2/5
Let l(x) be the third derivative of 1/132*x**4 - 4*x**2 + 0 - 2/33*x**3 + 1/110*x**5 - 1/660*x**6 + 0*x - 1/1155*x**7. Suppose l(m) = 0. What is m?
-2, -1, 1
Suppose -5*j = -0*j - 5. Factor 2*p**2 - j + 0*p**2 + 1.
2*p**2
Let p = 1/38 + 9/19. Let w(f) be the first derivative of -2*f - 3*f**2 - p*f**4 + 3 - 2*f**3. Factor w(u).
-2*(u + 1)**3
Let b = 241 - 241. Factor 0 - 5/3*r**4 - 8/3*r**3 + b*r - 1/3*r**5 - 4/3*r**2.
-r**2*(r + 1)*(r + 2)**2/3
Let g(o) be the third derivative of o**5/450 - o**4/60 + 2*o**3/45 - 59*o**2. Factor g(h).
2*(h - 2)*(h - 1)/15
Let x(k) = 3*k - 9. Let s be x(3). Let d(w) be the first derivative of 9/14*w**4 + 3 + 8/35*w**5 + 1/7*w**2 + s*w + 4/7*w**3. Solve d(t) = 0.
-1, -1/4, 0
Factor -4/7 - 6/7*t**2 - 10/7*t.
-2*(t + 1)*(3*t + 2)/7
Let g(q) be the first derivative of -4 + 1/14*q**4 + 2/7*q**3 + 3/7*q**2 + 2/7*q. Determine r so that g(r) = 0.
-1
Let q = 6 - 1. Factor 3*d - 2 + 4*d**4 - q*d**3 + 11*d**3 - 9*d - 2*d**2.
2*(d - 1)*(d + 1)**2*(2*d + 1)
Let h(z) be the third derivative of 8/3*z**7 + 0*z**4 + 0*z + 0*z**3 + 7/4*z**8 + 31/30*z**6 + 0 - 2*z**2 + 2/15*z**5. Factor h(r).
4*r**2*(3*r + 2)*(7*r + 1)**2
Let n(f) be the third derivative of f**8/84 + 2*f**7/105 - f**6/10 - f**5/15 + f**4/3 + 14*f**2. Determine m so that n(m) = 0.
-2, -1, 0, 1
Let g(u) be the first derivative of u**5/5 - u**4/8 + u**2 + 6. Let z(r) be the second derivative of g(r). Suppose z(m) = 0. What is m?
0, 1/4
Suppose -10*f + 15*f - 25 = 0. Let n(m) be the third derivative of 0 + 0*m - 3*m**2 + 1/3*m**4 - 8/9*m**3 + 1/180*m**6 - 1/15*m**f. Suppose n(x) = 0. What is x?
2
Let l = 1/67 + 125/603. Factor 0*w - l*w**2 + 2/9.
-2*(w - 1)*(w + 1)/9
Suppose 2*v = 4*n, -5*n + 4 + 18 = 3*v. Let d(f) be the first derivative of -5*f**2 + 8/3*f**3 - 1/2*f**v - 4 + 4*f. Determine k, given that d(k) = 0.
1, 2
Suppose -q - 12 = -4*q. Suppose 0 = -3*c + 1 + 8. Determine v, given that -1 + 3*v + c - q*v**2 + 5*v**2 = 0.
-2, -1
Let i(k) = 7*k**2 - 3*k. Let x(v) = 36*v**2 - 16*v. Let b(j) = -24*i(j) + 5*x(j). Find a, given that b(a) = 0.
0, 2/3
Let l(w) be the third derivative of 1/300*w**6 + 1/1050*w**7 + 0*w**3 + 0*w**4 + 0*w + 1/300*w**5 - w**2 + 0. Factor l(i).
i**2*(i + 1)**2/5
Let h(j) be the third derivative of 0 + 2*j**2 + 1/420*j**7 + 0*j - 1/60*j**5 + 1/12*j**3 + 0*j**6 + 0*j**4. Determine p so that h(p) = 0.
-1, 1
Let n = 18/149 - -208/745. Solve -1/5*m + 2/5*m**3 - 1/5*m**5 + n - 4/5*m**2 + 2/5*m**4 = 0.
-1, 1, 2
Let r(o) be the second derivative of o**6/480 - o**4/96 - o**2/2 + 2*o. Let y(v) be the first derivative of r(v). Factor y(f).
f*(f - 1)*(f + 1)/4
Suppose 2*k + 4*r + 13 + 3 = 0, -4*k - 4 = r. Let -2*d**4 - 6*d + d**3 + d**3 + 4 + 6*d**2 + k - 4*d = 0. What is d?
-2, 1
Let -200/11 - 2/11*z**2 + 40/11*z = 0. Calculate z.
10
Suppose 3*u - 27 = 3. Let t(f) = -f**3 + 10*f**2 + 2. Let w be t(u). Find p such that 7*p**2 - 1 + 3*p**4 + 7*p**3 + w*p + 1 + p**3 = 0.
-1, -2/3, 0
Factor 450/11 + 2/11*d**2 - 60/11*d.
2*(d - 15)**2/11
Factor 8 - t**4 - 24*t**3 + 6*t**3 - 2*t**4 + 19 - 24*t**2 + 18*t.
-3*(t - 1)*(t + 1)*(t + 3)**2
Let r = 1/28756 - -183091/242372. Let i = r + 6/59. Find j, given that -6/7*j**2 - 2/7*j**3 - i*j - 2/7 = 0.
-1
Factor 1/3 + 1/3*a**2 + 2/3*a.
(a + 1)**2/3
Let g = 307 + -6137/20. Let v(z) be the third derivative of -g*z**4 - 2/25*z**5 - 2/15*z**3 + 0*z - 1/60*z**6 + 0 - z**2. Find x, given that v(x) = 0.
-1, -2/5
Let i(g) = -6*g**4 + 10*g**3 - 26*g**2 + 18*g + 4. Let c(z) = -5*z**4 + 11*z**3 - 27*z**2 + 18*z + 3. Let p(b) = -4*c(b) + 3*i(b). Factor p(r).
2*r*(r - 3)**2*(r - 1)
Let h = -215/6 + 36. Let x(t) be the second derivative of -4*t**2 + 0 - t - 4/3*t**3 - h*t**4. Factor x(o).
-2*(o + 2)**2
Let y = 2041/30 - 68. Let v(m) be the second derivative of -y*m**5 + 0*m**2 + 0 + 1/18*m**3 + m - 1/36*m**4. Determine r so that v(r) = 0.
-1, 0, 1/2
Let x(a) be the third derivative of 0*a**3 + 0 + 1/40*a**4 - 2*a**2 + 0*a + 3/200*a**6 + 1/350*a**7 + 3/100*a**5. Factor x(f).
3*f*(f + 1)**3/5
Suppose -7 = -5*g + 3*a - 5*a, 4*a = -4*g - 4. Factor 12*b**2 + g*b**4 - 6*b**3 - 3 + 6*b - 12*b**2.
3*(b - 1)**3*(b + 1)
Suppose -5*c + c = -5*j - 5, -3*j + 3*c = 6. Let s(t) be the third derivative 