ative of n**7/210 - n**6/120 - n**5/20 + n**4/24 + n**3/3 + 9*n**2. Factor x(j).
(j - 2)*(j - 1)*(j + 1)**2
Let n(q) = q**2 - q - 2. Let o be n(-2). Factor -o*x**3 + 32*x**5 + 5*x**3 - 33*x**5.
-x**3*(x - 1)*(x + 1)
Let j(m) = m**5 - m**3 - m**2 - m. Let p(s) = -10*s**5 + 6*s**4 + 5*s**3 + 3*s**2 + 14*s. Let l(f) = -18*j(f) - 2*p(f). Let l(o) = 0. Calculate o.
-1, 0, 1, 5
Let m be -1*(2 - 0) + 0. Let t = m + 4. Find p, given that 2*p**t - 1 + 3 + 0*p**2 + 4*p + 0 = 0.
-1
Factor 0*v**3 - 3/4*v**4 + 0*v**2 + 0*v - 3/4*v**5 + 0.
-3*v**4*(v + 1)/4
Let z(u) = 37*u**3 - 65*u**2 - 59*u + 29. Let o(f) = 19*f**3 - 32*f**2 - 29*f + 14. Let w(x) = -7*o(x) + 4*z(x). Factor w(c).
3*(c - 3)*(c + 1)*(5*c - 2)
Let s = 41/306 + 3/34. Factor -2/9 + s*q**2 - 2/9*q**3 + 2/9*q.
-2*(q - 1)**2*(q + 1)/9
Let i(b) be the second derivative of 4/5*b**3 + 6*b + 1/25*b**5 + 0 + 1/10*b**6 - 13/20*b**4 - 2/5*b**2. Solve i(q) = 0 for q.
-2, 1/3, 2/5, 1
Suppose 0 = -3*n + 5*n - 4. Suppose -4*i + 2*z = -n*z - 32, -4*i + 5*z = -36. Let 2*r + 2 - r**3 - i + r = 0. What is r?
-2, 1
Let t(o) = 2*o**4 - 28*o**3 + 125*o**2 - 95*o - 255. Let b(u) = -3*u**4 + 42*u**3 - 188*u**2 + 142*u + 383. Let a(v) = -5*b(v) - 8*t(v). Factor a(k).
-(k - 5)**3*(k + 1)
Let k = 59 - 59. Let k + 2/3*d**4 + 2*d**2 + 2/3*d + 2*d**3 = 0. What is d?
-1, 0
Solve -4*l**5 + 2*l**4 + 58*l**2 - 32*l**3 - 74*l**2 - 16*l**4 - 6*l**4 = 0.
-2, -1, 0
Let l(u) be the first derivative of 7*u**6/2 + 36*u**5/5 - 33*u**4/4 - 12*u**3 + 6*u**2 + 6. What is p in l(p) = 0?
-2, -1, 0, 2/7, 1
Let c(y) be the third derivative of -y**9/30240 + y**7/2520 + y**5/60 - 2*y**2. Let b(f) be the third derivative of c(f). Suppose b(k) = 0. Calculate k.
-1, 0, 1
Let z(d) be the third derivative of d**9/15120 + d**8/4200 + d**7/4200 + d**3/6 - 5*d**2. Let q(f) be the first derivative of z(f). Factor q(o).
o**3*(o + 1)**2/5
Let n(c) be the first derivative of -1/2*c**6 + 2*c**3 - 3/2*c**2 + 3 + 3/2*c**4 - 3/5*c**5 - 3*c. Factor n(i).
-3*(i - 1)**2*(i + 1)**3
Let y(n) be the first derivative of 15/4*n**4 - 3*n**2 + 0*n - 3*n**3 - 4. Solve y(x) = 0.
-2/5, 0, 1
Let o(i) be the second derivative of 0*i**4 + 1/42*i**7 + 0*i**3 + 0*i**2 + 2*i - 1/20*i**5 + 0*i**6 + 0. Let o(m) = 0. Calculate m.
-1, 0, 1
Let h(g) be the third derivative of 0*g**3 + 0 - 2/315*g**7 + 0*g**5 + 8*g**2 + 0*g + 1/504*g**8 + 0*g**4 + 1/180*g**6. Find c such that h(c) = 0.
0, 1
Let u(n) = n**4 + n**3 - n**2 + 1. Let f(b) be the first derivative of 3*b**5/5 + 5*b**4/4 + 2*b + 3. Let j(l) = f(l) - 2*u(l). What is r in j(r) = 0?
-2, -1, 0
Let h be ((-226)/(-3))/(-2) + 4. Let j = h + 34. Factor j*y**2 + 0 + 0*y.
y**2/3
Let u(h) be the first derivative of h**8/840 + 2*h**7/525 + h**6/300 + 2*h**2 - 5. Let j(t) be the second derivative of u(t). Find g such that j(g) = 0.
-1, 0
Suppose 0 = p - 5*v + 3, -2*p = v - 4*v - 1. Let b(t) be the first derivative of 3 + 1/18*t**4 + 2/27*t**3 + 0*t + 0*t**p. Factor b(s).
2*s**2*(s + 1)/9
Let s(v) = -v**2 + 7*v + 3. Let c be s(7). Factor 0 + 0 + c*r**2 - 8*r + 5*r.
3*r*(r - 1)
Suppose a = -5*w + 1, 2*w - 4 = -3*w - 4*a. Factor 0*j**3 + 3/2*j**4 + 0*j + w - 3/2*j**5 + 0*j**2.
-3*j**4*(j - 1)/2
Suppose 4*l + 20 = 0, -l - 2*l - 6 = 3*k. Factor -5/4*y**k + 0 + 7/4*y**2 - 1/2*y.
-y*(y - 1)*(5*y - 2)/4
Let z be (-3)/(-255)*(-2946)/(-21). Let f = z - 6/119. Determine o, given that -2/5*o**2 - f*o**3 + 0*o + 0 - 6/5*o**4 = 0.
-1, -1/3, 0
Let h(i) = -9*i**2 - 9*i - 12. Let x(q) = -q**2. Let g(s) = -h(s) + 12*x(s). Find p, given that g(p) = 0.
-1, 4
Suppose -5*o**3 - 5*o**3 - 58*o + 55*o - 12*o**2 - 2*o**3 = 0. Calculate o.
-1/2, 0
Let j(i) be the first derivative of -6*i**3/5 + 34*i**2/5 + 16*i/5 - 30. What is w in j(w) = 0?
-2/9, 4
Let n = 17/11 - 63/55. Factor -n*k**2 + 4/5 - 2/5*k.
-2*(k - 1)*(k + 2)/5
Let o(i) be the first derivative of -i**4/22 + 2*i**3/33 - 11. Factor o(h).
-2*h**2*(h - 1)/11
Let x(z) be the third derivative of 0 + 0*z - 10*z**2 - 1/15*z**5 - 32/3*z**3 - 4/3*z**4. Suppose x(t) = 0. Calculate t.
-4
Let m(w) = -w**2 + 1. Let t be m(-4). Let q be 2 - (t/(-9) - 0). Suppose -1/3*r**4 + r**3 + 1/3*r**2 - 2/3*r**5 + 0 - q*r = 0. Calculate r.
-1, 0, 1/2, 1
Let z(n) be the second derivative of n**4/30 - 2*n**3/15 + n**2/5 + 16*n. Factor z(h).
2*(h - 1)**2/5
Let p(s) be the first derivative of -1/12*s**4 + 0*s + 0*s**3 - 2/15*s**5 - 1/18*s**6 + 0*s**2 + 4. Factor p(h).
-h**3*(h + 1)**2/3
Suppose -6 = -23*q + 20*q. Let -2/5 - 2/5*y + 2/5*y**3 + 2/5*y**q = 0. What is y?
-1, 1
Let q(n) = -12*n**4 - 5*n**2 + 10 + 4*n**3 + 3*n**2 - 12*n**2 + 2*n**2. Let v(a) = a**4 + a**2 - 1. Let h(g) = -q(g) - 10*v(g). Factor h(l).
2*l**2*(l - 1)**2
Let f(h) be the first derivative of h**4/9 + 2*h**3/27 - 12. Find o such that f(o) = 0.
-1/2, 0
Let v(d) = -d**2 - 31*d - 28. Let x be v(-30). Factor -3*h**3 - 6/5*h**x + 21/5*h**4 + 0*h + 0.
3*h**2*(h - 1)*(7*h + 2)/5
Let m be (-3 - -3)/((-6)/3). Factor m*f - 1/2 + 1/2*f**2.
(f - 1)*(f + 1)/2
Factor 4*z**4 + z**5 - 2*z**4 - 3*z**3 - 4*z**5 + 4*z**4.
-3*z**3*(z - 1)**2
Let z = 9 + -5. Factor 2 + 0 - 3*r**3 + 5*r - r**z + 2*r**3 + 3*r**2.
-(r - 2)*(r + 1)**3
Let m be ((-15)/(-80))/(-6 + 54/8). Factor -1/4*h**3 + m*h + 1/2 - 1/2*h**2.
-(h - 1)*(h + 1)*(h + 2)/4
Suppose h = 4*h. Determine g so that 1/3*g**5 - 2/3*g**3 + 1/3*g + 0 + 0*g**2 + h*g**4 = 0.
-1, 0, 1
Factor 135 + 450*p**2 - 235*p**3 - 408*p + 3*p + 55*p**4 + 5*p**3 - 5*p**5.
-5*(p - 3)**3*(p - 1)**2
Let w be (-1 + (2 - 1))/(-1). Suppose w*p**3 - 2*p + 2 + 4*p**2 - p**3 - 3*p = 0. Calculate p.
1, 2
Let h(u) be the third derivative of -u**8/50400 + u**7/12600 + u**5/20 - 3*u**2. Let b(x) be the third derivative of h(x). Let b(w) = 0. Calculate w.
0, 1
Let s(y) be the third derivative of -y**6/24 - y**5/20 - y**4/8 + 5*y**3/6 - 7*y**2. Let p(v) = -v + 1. Let i(q) = -15*p(q) + 3*s(q). Factor i(g).
-3*g*(g + 1)*(5*g - 2)
Let k(g) = 6*g + 66. Let x be k(-11). Factor 0 + x*r**2 - 1/4*r**3 + 1/4*r.
-r*(r - 1)*(r + 1)/4
Let i(o) be the third derivative of o**8/840 + o**7/525 - 7*o**2. Factor i(f).
2*f**4*(f + 1)/5
Factor 37*j**2 + 21*j**4 - 13*j**2 + 54*j**2 + 6 + 3*j**2 - 39*j - 69*j**3.
3*(j - 1)**3*(7*j - 2)
Suppose -9 = -2*k + 3*c, 3*c = 5*k + 2*c - 16. Let g be (55/k)/5 - 3. Factor g*s + 4/3*s**5 + 6*s**3 + 0 - 14/3*s**4 - 10/3*s**2.
2*s*(s - 1)**3*(2*s - 1)/3
Factor 2/3*j**3 + 0 + 0*j**2 + 2*j**4 + 4/3*j**5 + 0*j.
2*j**3*(j + 1)*(2*j + 1)/3
Let s(h) be the second derivative of h**4/4 - 8*h**3 + 96*h**2 - 24*h. Find z, given that s(z) = 0.
8
Factor -3*q**2 + 11*q**2 - 9*q**2.
-q**2
Let m(c) = -c**2 + 54*c - 4. Let t(r) = -r**2 + 109*r - 9. Let d(v) = -9*m(v) + 4*t(v). Let d(f) = 0. Calculate f.
0, 10
Let a(s) = 12*s**4 - 24*s**3 + 8*s**2 + 6*s - 2. Let k(y) = -25*y**4 + 47*y**3 - 16*y**2 - 11*y + 5. Let d(l) = 5*a(l) + 2*k(l). Factor d(o).
2*o*(o - 2)*(o - 1)*(5*o + 2)
Let q = 446 - 444. Factor 2/13*o**q + 0*o + 0.
2*o**2/13
Find a such that 6*a**2 - 61 - a**3 + 2*a + 55 - a**3 = 0.
-1, 1, 3
Let z(t) be the second derivative of t**5/20 + t**4/12 - t**2/2 + t. Let u(f) = f**3 - 3 + 6*f + 3*f**2 + f**3 - 7*f. Let r(k) = u(k) - z(k). Factor r(d).
(d - 1)*(d + 1)*(d + 2)
Let z = 9 + -6. Solve 0*m - 2*m**2 + 4*m + 0*m**z - 2*m**3 = 0 for m.
-2, 0, 1
Let j(k) be the second derivative of 0 + 0*k**2 + 1/12*k**3 - 5*k + 1/24*k**4. Factor j(h).
h*(h + 1)/2
Suppose 2*b + 90 = 28. Let j = b - -33. Determine t so that -3/4*t**j - 3/2*t + 3/4*t**3 + 0 = 0.
-1, 0, 2
Suppose -21*p + 25*p = 0. Factor p + 0*i + 0*i**2 + 5/3*i**4 + 2/3*i**5 + i**3.
i**3*(i + 1)*(2*i + 3)/3
Let x(k) be the third derivative of k**7/735 + k**6/105 + k**5/70 - 2*k**2. Find o such that x(o) = 0.
-3, -1, 0
Let o(l) be the second derivative of l**5/35 + 12*l**4/7 + 288*l**3/7 + 3456*l**2/7 + 5*l. Let o(d) = 0. Calculate d.
-12
Let g = 46 - 41. Let m(y) be the first derivative of 1/5*y**g + 0*y**2 + 4/3*y**3 + 3 + 0*y + y**4. Factor m(c).
c**2*(c + 2)**2
Let h be 2*(-2 - 50/(-24)). Let b(l) be the first derivative of -1/2*l**2 - h*l**3 - 3 - 1/2*l. Factor b(j).
-(j + 1)**2/2
Let v(q) be the third derivative of q**7/21 + 7*q**6/60 - q**5/10 - 7*q**4/12 - 2*q**3/3 - 5*q**2. Solve v(p) = 0 for p.
-1, -2/5, 1
Let 10*m**5 + 20*m**3 - 14*m**5 + 29*m**2 + 48 + 53*m**2 + 128*m - 12*m**4 + 26*m**2 = 0.