j) = -2*j**3 + 2*j + 4. Suppose b - 4 = -0. Let u(z) = b*g(z) + 7*p(z). Factor u(r).
-2*r*(r - 1)**2
Let l(j) be the third derivative of -j**6/40 - j**5/10 + 6*j**2. Factor l(r).
-3*r**2*(r + 2)
Let u(i) = i**3 + 5*i**2 - 2. Let a(h) = -h**3 - 6*h**2 + 2. Let o(z) = 2*a(z) + 3*u(z). Let n be o(-2). Factor -5*d**2 + 0*d + 4*d + n - 7*d.
-(d + 1)*(5*d - 2)
Let c(k) = -20*k**4 + 9*k**3 + 45*k**2 + 19*k. Let m(r) = 20*r**4 - 8*r**3 - 44*r**2 - 20*r. Let h(f) = 4*c(f) + 3*m(f). Factor h(l).
-4*l*(l - 2)*(l + 1)*(5*l + 2)
Factor 0*c + 0*c**3 + 0 + 1/2*c**5 - 1/6*c**4 + 0*c**2.
c**4*(3*c - 1)/6
Find x, given that -4*x**3 + 8 - 6 + 2*x**3 - 6*x**2 - 4 - 6*x = 0.
-1
Let z(b) be the third derivative of b**6/80 + 3*b**5/40 - 22*b**2 - 2. Factor z(r).
3*r**2*(r + 3)/2
Let -1/7*g**3 + 1/7*g**4 + 0*g + 0 + 0*g**2 = 0. Calculate g.
0, 1
Let y(l) be the second derivative of l**4/30 + l**3/15 - 10*l. Solve y(u) = 0.
-1, 0
Let x = 12 + -17. Let d(r) = r**3 + r**2 + r + 1. Let w(k) = 20*k**3 + 32*k**2 + 14*k + 2. Let p(m) = x*d(m) + w(m). Find z such that p(z) = 0.
-1, 1/5
Let t be ((-24)/15)/(8/(-20)). Solve 4*v - 32/5*v**t + 16*v**3 - 2/5 - 66/5*v**2 = 0.
1/4, 1
Let r(f) be the third derivative of 0*f**4 + 0*f**3 + 1/336*f**8 + 0*f - 1/105*f**7 + 0 + 0*f**5 + 1/120*f**6 + 4*f**2. Factor r(y).
y**3*(y - 1)**2
Factor 4/5*q**2 + 16/5 + 16/5*q.
4*(q + 2)**2/5
Let a(w) be the first derivative of -w**3/6 - 3*w**2 - 18*w - 5. Determine p so that a(p) = 0.
-6
Let f = 1913/5757 - -2/1919. Factor 0*j - f*j**3 + 0 + 1/6*j**4 + 1/6*j**2.
j**2*(j - 1)**2/6
Let s = 0 + -2. Let z be (-10)/s + -1 + 0. Find r, given that -168*r**5 + 0*r - 460*r**4 - 8*r - 25*r**2 + 90*r**z - 55*r**2 - 274*r**3 = 0.
-1, -2/3, -2/7, -1/4, 0
Let w(k) be the first derivative of -4*k**5/25 + 4*k**4/5 + 4*k**3/15 - 8*k**2/5 + 24. Solve w(u) = 0 for u.
-1, 0, 1, 4
Let v(c) be the second derivative of 0 - 1/6*c**4 - 2*c**2 + c**3 - 4*c. Factor v(z).
-2*(z - 2)*(z - 1)
Let p(f) be the first derivative of 1/9*f**3 - 2 + 1/2*f**2 + 1/90*f**5 - 1/18*f**4 + 0*f. Let l(x) be the second derivative of p(x). Factor l(q).
2*(q - 1)**2/3
Let f be (-1)/(0 + 1/(-3)). Let q = f + 1. Factor 3*n - 8 - 2*n**2 + q*n + n.
-2*(n - 2)**2
Let x(i) be the first derivative of -7*i**5/5 - 25*i**4 - 203*i**3/3 - 67*i**2 - 24*i - 44. Factor x(u).
-(u + 1)**2*(u + 12)*(7*u + 2)
Let t = 172/3 + 2329/6. Factor -243/2*r**5 - 24 - 168*r - t*r**4 - 468*r**2 - 648*r**3.
-3*(r + 1)*(3*r + 2)**4/2
Let o(s) = s**2 + 4*s - 3. Let x be o(-3). Let v be (x/(-15))/((-4)/(-5)). Let 0*j + 0 - v*j**2 = 0. Calculate j.
0
Let s(j) be the first derivative of -j**4/3 + 8*j**3/3 - 128*j/3 + 39. Factor s(z).
-4*(z - 4)**2*(z + 2)/3
Let y be (-15)/(-9)*((-144)/15)/(-8). Factor f**3 - 1/2*f**4 + 1/2*f**y - f + 0.
-f*(f - 2)*(f - 1)*(f + 1)/2
Let t(i) be the third derivative of -7*i**5/20 - 3*i**4/2 + 2*i**3 + 5*i**2. Let t(r) = 0. Calculate r.
-2, 2/7
Let m(f) = -2*f - 46. Let l be m(-24). Factor 0 - 1/4*u**l + 1/4*u.
-u*(u - 1)/4
Let u(w) be the second derivative of w**8/840 - w**6/60 + w**5/30 + w**3/3 - w. Let t(f) be the second derivative of u(f). Solve t(i) = 0.
-2, 0, 1
Suppose x + 0 - 1/2*x**4 + 0*x**3 + 3/2*x**2 = 0. Calculate x.
-1, 0, 2
Let c(r) be the first derivative of -4/3*r - 2 + r**2 - 2/9*r**3. Factor c(n).
-2*(n - 2)*(n - 1)/3
Suppose 3*g = 2*t - 7, -g - 9 = 2*t - 4*t. Suppose -12 - 18 = -t*q. Factor -3*a**3 + q*a**2 - 2 + 4*a**3 + 3*a**3.
2*(a + 1)**2*(2*a - 1)
Let q(u) be the third derivative of 7*u**6/60 + 11*u**5/30 + u**4/12 - u**3 - 22*u**2. Factor q(c).
2*(c + 1)**2*(7*c - 3)
Let j(s) be the first derivative of 1/36*s**6 + 10 + 0*s + 5/18*s**3 - 1/30*s**5 - 1/8*s**4 - 1/6*s**2. Determine w, given that j(w) = 0.
-2, 0, 1
Let n(a) be the third derivative of a**6/60 + a**5/30 - 5*a**4/12 + a**3 - 3*a**2. Determine m so that n(m) = 0.
-3, 1
Factor 2*y**3 - 56/3*y - 4*y**2 - 16 + 2/3*y**4.
2*(y - 3)*(y + 2)**3/3
Suppose -3*a - b - 5 = -8*a, 18 = -a + 4*b. Find r, given that 2/7*r**a + 2/7 - 4/7*r = 0.
1
Factor 1/4*m**2 + 0 + 0*m + 1/4*m**3 - 1/2*m**4.
-m**2*(m - 1)*(2*m + 1)/4
Suppose -124*f + 128*f + 4*f**2 - 4*f**3 + 2*f**4 - 6*f**4 = 0. What is f?
-1, 0, 1
Let n(g) be the second derivative of g**6/180 + g**5/60 - g**4/6 + g**3/2 + g. Let y(c) be the second derivative of n(c). Find b such that y(b) = 0.
-2, 1
Let b(h) = -h**3 - 4*h**2 + 5. Let x be b(-4). Let c be (2/3)/(x/6). Determine m, given that c*m - 14/5*m**2 + 2*m**3 + 0 = 0.
0, 2/5, 1
Suppose 9 = 7*n - 4*n. Suppose u = n*u. Factor 1 + 8*q**2 + 1 + u + 10*q + 0.
2*(q + 1)*(4*q + 1)
Let v(d) be the second derivative of -d**5/10 + d**4/3 + 4*d**3/3 - 8*d**2 + 8*d. Factor v(m).
-2*(m - 2)**2*(m + 2)
Let z(o) be the third derivative of o**8/3360 - o**7/756 + o**6/1080 + o**5/180 + o**4/6 + 2*o**2. Let a(y) be the second derivative of z(y). Factor a(v).
2*(v - 1)**2*(3*v + 1)/3
Let q(x) be the third derivative of -1/30*x**3 + 0*x + 0 + 1/150*x**6 - 1/1050*x**7 + 1/30*x**4 + 5*x**2 - 1/50*x**5. Factor q(n).
-(n - 1)**4/5
Factor 10*o + 0*o - 5*o**2 + 2*o**2 + o**2.
-2*o*(o - 5)
Factor -3*r**4 - 10*r**3 + 3*r - 9*r**2 + 12 + 9*r + 0*r**3 - 2*r**3.
-3*(r - 1)*(r + 1)*(r + 2)**2
Let z be (-2)/(-20) + 4/10. Let d be 2/9 - 15/(-54). Factor i + z*i**2 + d.
(i + 1)**2/2
Let r(z) be the second derivative of -z**5/50 - z**4/10 - 2*z**3/15 + 2*z - 19. Factor r(g).
-2*g*(g + 1)*(g + 2)/5
Let y(r) be the first derivative of -r**3/6 + 5*r**2/4 - 2*r + 9. Suppose y(x) = 0. What is x?
1, 4
Let h be 0/(-1*2*(-39)/26). Factor -1/3*f + h - 1/3*f**5 + 4/3*f**4 - 2*f**3 + 4/3*f**2.
-f*(f - 1)**4/3
Factor -2*x**4 + x - 5*x**2 - 2*x + 3*x - x**2 + 6*x**3.
-2*x*(x - 1)**3
Let c = 31/14 - 23/14. Suppose -2/7*s + 0 + c*s**3 + 2/7*s**2 = 0. What is s?
-1, 0, 1/2
Let f(m) be the first derivative of m**5/5 - 3*m**4/4 - m**3/3 + 3*m**2/2 - 51. Factor f(a).
a*(a - 3)*(a - 1)*(a + 1)
Let y(o) be the third derivative of o**8/1512 - o**6/135 - o**5/135 + o**4/36 + 2*o**3/27 + 8*o**2. Factor y(m).
2*(m - 2)*(m - 1)*(m + 1)**3/9
Let n(c) = -c. Let p be n(-3). Suppose l - p = 1. Determine u, given that 0 - 3*u + l + u**2 - u + 0*u**2 = 0.
2
Suppose -2*l = 16 - 180. Suppose -28 = -t + h, -3*t - h + l = -2*h. Suppose -10*z**3 - 2*z + 3*z**2 - t*z**2 - 4 - 16*z = 0. What is z?
-1, -2/5
Let o(u) = -3*u**2 - 9*u + 2. Let a(m) = 9*m**2 + 27*m - 7. Let n(g) = 2*a(g) + 7*o(g). Factor n(h).
-3*h*(h + 3)
Let y be (-2)/(-3) - (-236)/6. Let d be (-8)/(-3)*12/y. Factor d*x**2 - 6/5*x**4 + 2/5 + 6/5*x - 2/5*x**5 - 4/5*x**3.
-2*(x - 1)*(x + 1)**4/5
Let f be (((-11)/84)/(-11))/1. Let x(d) be the third derivative of -d**2 + 1/210*d**5 - f*d**4 + 0*d**3 + 0 + 0*d. Determine k, given that x(k) = 0.
0, 1
Let j be (-1)/3*(60/(-14))/5. Factor -j*o**4 - 2/7*o**5 + 10/7*o**2 + 0 + 6/7*o**3 + 4/7*o.
-2*o*(o - 2)*(o + 1)**3/7
Let r(g) be the second derivative of -g**7/294 + g**6/35 - 3*g**5/35 + 5*g**4/42 - g**3/14 + 5*g. Factor r(o).
-o*(o - 3)*(o - 1)**3/7
Let v(t) be the second derivative of -t**7/189 - t**6/27 - t**5/9 - 5*t**4/27 - 5*t**3/27 - t**2/9 + 29*t. Factor v(q).
-2*(q + 1)**5/9
Let g = 4 + -2. Let h be g/(-9) - 20/(-9). Solve -7*x**5 - 15*x**3 - 19*x**4 - x**2 - 12 + h*x + 12 = 0.
-1, 0, 2/7
Suppose -2 = 2*v - 6. Let q(i) be the first derivative of -2/9*i**3 - v + 0*i + 1/3*i**2 - 1/6*i**4 + 2/15*i**5. Factor q(c).
2*c*(c - 1)**2*(c + 1)/3
Let f(y) be the first derivative of 0*y**5 + 0*y**3 - 3/10*y**2 + 3/10*y**4 - 4 - 1/10*y**6 + 0*y. Factor f(o).
-3*o*(o - 1)**2*(o + 1)**2/5
Suppose 6*k = 4*k + 4. Find a, given that -31 + 31 - k*a**3 - a**2 - a**4 = 0.
-1, 0
Suppose -3*z = 8 + 7, 4*u + 2*z = -2. Factor x**2 + 3*x**4 + 2*x**4 - 4*x**4 - u*x**2.
x**2*(x - 1)*(x + 1)
Let z(w) be the first derivative of -w**4/5 - 4*w**3/5 + 16*w/5 + 4. Factor z(u).
-4*(u - 1)*(u + 2)**2/5
Let r = 17 - 20. Let h be -2*(46/16 + r). Factor 1/4*p**3 + 0*p - 1/4*p**5 - 1/4*p**2 + h*p**4 + 0.
-p**2*(p - 1)**2*(p + 1)/4
Let j(a) be the third derivative of 0*a + 1/120*a**6 - 1/60*a**5 - 1/24*a**4 + 0 - 2*a**2 + 0*a**3 + 1/210*a**7. Solve j(r) = 0 for r.
-1, 0, 1
Let a be (-5)/((-10)/8) + 1 + -3. Let b(v) be the first derivative of a + 0*v**2 + 0*v + 2/3*v**3 + 1/2*v**4. Determine x, given that b(x) = 0.
-1, 0
Let b = -124 + 622/5. Solve -b*x**2 + 4