 - 1)**2*(c + 1)**2/5
Factor 4/5*n**5 + 4/5 - 12/5*n + 8/5*n**2 + 8/5*n**3 - 12/5*n**4.
4*(n - 1)**4*(n + 1)/5
Factor -2/3 - 4/9*k + 2/9*k**2.
2*(k - 3)*(k + 1)/9
Let p be (-3)/(-2)*(-24)/(-18). Suppose 1/3 + 2/3*b**p - b**4 + 2/3*b**3 + 1/3*b**5 - b = 0. What is b?
-1, 1
Let q(v) be the first derivative of 4 + 0*v**2 - 2/5*v + 2/15*v**3. Factor q(c).
2*(c - 1)*(c + 1)/5
Let l(z) = 2*z**3 - z**2 + z. Let t be l(1). Let f = t + 0. Suppose 4/7*g**f + 0 + 2/7*g = 0. What is g?
-1/2, 0
Let a(v) be the first derivative of -2/15*v**3 + 0*v**2 + 1 + 0*v. Factor a(h).
-2*h**2/5
Let v(a) be the third derivative of -a**6/900 - a**5/75 - a**4/20 + 2*a**3/3 - 3*a**2. Let u(j) be the first derivative of v(j). Solve u(y) = 0 for y.
-3, -1
Let m(b) be the first derivative of -2/15*b**3 + 3/5*b**2 - 4 - 4/5*b. Factor m(h).
-2*(h - 2)*(h - 1)/5
Factor 3/5*q**4 + 6/5*q - 12/5*q**2 + 9/5 - 6/5*q**3.
3*(q - 3)*(q - 1)*(q + 1)**2/5
Let u(y) = 3*y**4 - 9*y**3 + 5*y**2 + 12*y + 5. Let k(f) = 3*f**4 - 9*f**3 + 6*f**2 + 12*f + 6. Let w(c) = -5*k(c) + 6*u(c). Factor w(l).
3*l*(l - 2)**2*(l + 1)
Let v be 3 - (-24 - -3)/3. Let k be (v/2)/(8 + -7). Factor -o**2 + 6*o**5 - 4*o**3 - k*o**5 + o**4 + 3*o**3.
o**2*(o - 1)*(o + 1)**2
Factor 1/10*o**5 - 3/10*o**3 + 0 - 1/5*o**4 + 0*o + 0*o**2.
o**3*(o - 3)*(o + 1)/10
Suppose -3*q - 5 = 5*b, 0*b - 3 = q + 3*b. Let w(d) be the third derivative of q + 1/8*d**4 + 2*d**2 - 1/24*d**3 - 1/5*d**5 + 2/15*d**6 + 0*d. Factor w(h).
(4*h - 1)**3/4
Solve 0 - 1/4*m**2 - 3/4*m = 0 for m.
-3, 0
Let y(j) = -3*j**2 - j + 2. Let m(t) = -t**3 + 3*t**2 + 4*t - 2. Let x be m(4). Let w(i) = -4*i**2 - i + 2. Let f(v) = x*w(v) + 3*y(v). Factor f(z).
-(z - 1)*(z + 2)
Factor -7/5*c + 8/5 - 1/5*c**2.
-(c - 1)*(c + 8)/5
Let h(i) be the second derivative of -i**7/45 - 4*i**6/45 - 11*i**5/90 - i**4/18 - i**2 + 2*i. Let n(f) be the first derivative of h(f). Factor n(l).
-2*l*(l + 1)**2*(7*l + 2)/3
Let k be ((-16)/20)/((-4)/(-70)). Let l be (-290)/(-35) + 4/k. Let d(q) = 6*q + 8. Let u(n) = -n**2 - n - 1. Let r(v) = l*u(v) + d(v). Factor r(j).
-2*j*(4*j + 1)
Suppose 0 = -5*a - 5, 0 = -3*w + a + 6 + 4. Suppose -w*d + 2*d + 12 = -5*l, 0 = 3*d + 3*l. Factor 0*b - 1/2 + 1/2*b**d.
(b - 1)*(b + 1)/2
Let n = 5 - 2. Let w be 2/4 - 21/(-6). Solve -n*o - o + w - 2 + 2*o**2 = 0 for o.
1
Let u(q) = q + 19. Let p be u(-9). Factor -3*n**3 - n**3 - 15*n**2 + 7*n**2 - 4 - p*n + 2*n**3.
-2*(n + 1)**2*(n + 2)
Factor 0 + 2/25*q + 2/25*q**2.
2*q*(q + 1)/25
Solve 0*y**2 - 3/4*y**4 + 0*y + 0 - 9/4*y**3 = 0 for y.
-3, 0
Let b(h) be the first derivative of -h**4 - 2/5*h**5 + 0*h - 2/3*h**3 + 3 + 0*h**2. Find l such that b(l) = 0.
-1, 0
Suppose 22*p - 2*p = 0. Factor 2/5*v + 6/5*v**3 + 6/5*v**2 + 2/5*v**4 + p.
2*v*(v + 1)**3/5
Suppose -5*h - j = -75 - 26, -3*j = 3*h - 51. Let b = h + -19. Find o, given that -2/3*o + 0 + 1/3*o**b = 0.
0, 2
Let z be (6/4)/((-9)/(-12)). Determine n so that -n**z + 2*n - n + 3*n - 5*n = 0.
-1, 0
Let m(a) be the third derivative of a**5/30 + a**4/2 + 3*a**3 - 4*a**2. Factor m(b).
2*(b + 3)**2
Factor -2/13*p**2 + 2/13*p + 4/13.
-2*(p - 2)*(p + 1)/13
Let t(z) be the third derivative of z**6/120 - z**5/15 + z**4/8 + z**3/3 + 16*z**2. Let a be t(3). Factor -4/3*c**a + c + 1/3.
-(c - 1)*(4*c + 1)/3
Let g(r) be the third derivative of -r**5/110 - r**4/33 - r**3/33 - 3*r**2. Factor g(x).
-2*(x + 1)*(3*x + 1)/11
Let x(u) = 2*u**2 - 9*u - 2. Let f be x(5). Find i, given that -12*i - 17 + 10 - 5 - f*i**2 = 0.
-2
Let y(z) be the third derivative of 0 + 0*z - 1/60*z**5 - 1/40*z**7 - 4*z**2 - 1/30*z**6 - 3/448*z**8 + 0*z**3 + 0*z**4. Let y(f) = 0. What is f?
-1, -2/3, 0
Factor l + 2 - 2*l + l + l**2 - 3*l.
(l - 2)*(l - 1)
Suppose 4 = 5*o - 6. Let b(h) be the third derivative of 0*h - 2*h**o - 1/112*h**8 - 1/120*h**6 + 0*h**3 - 2/105*h**7 + 0 + 0*h**4 + 0*h**5. Factor b(p).
-p**3*(p + 1)*(3*p + 1)
Let t = -25 + 101/4. Factor 0*p + 0 + 1/2*p**3 + 1/4*p**4 + t*p**2.
p**2*(p + 1)**2/4
Let y(d) be the third derivative of 0*d + 0*d**5 - 1/144*d**8 + 1/126*d**7 + 0 + 3*d**2 + 0*d**4 + 0*d**3 + 1/180*d**6. Solve y(a) = 0.
-2/7, 0, 1
Let i(j) be the third derivative of -j**5/210 - j**4/28 - 2*j**3/21 - 7*j**2. Suppose i(q) = 0. Calculate q.
-2, -1
Let g(s) be the third derivative of 0*s**5 + 0 + 1/315*s**7 + 0*s**3 - 1/1008*s**8 - 3*s**2 - 1/360*s**6 + 0*s**4 + 0*s. Factor g(p).
-p**3*(p - 1)**2/3
Factor 42*s - 9*s**3 + 2*s - 20*s**2 - 3*s**3 - 12.
-4*(s - 1)*(s + 3)*(3*s - 1)
Factor 3*o + 2*o**3 + 119*o**2 - 123*o**2 - 3*o.
2*o**2*(o - 2)
Let o be ((-3)/6 - -1)*4. Factor 6*v + 4*v - 10*v + 2*v**2 - o*v**4.
-2*v**2*(v - 1)*(v + 1)
Let c(m) be the first derivative of -m**4/32 + m**3/6 - m**2/4 - 52. Factor c(t).
-t*(t - 2)**2/8
Let r(t) be the first derivative of t**3/3 - t + 68. Let r(x) = 0. Calculate x.
-1, 1
Let b = 0 - -4. Let w = 3 + b. Find s such that 6*s**2 - w*s**2 + s + 1 + s - 2 = 0.
1
Determine f so that f - 5*f + 8*f**3 + 20*f**4 - 20*f**2 - 7*f + 3*f = 0.
-1, -2/5, 0, 1
Let x be 6/(-4) + 39/6. Let n(r) be the second derivative of 0*r**4 + 0 + 0*r**2 + 1/14*r**7 - 1/10*r**6 + 0*r**x - 4*r + 0*r**3. Determine y so that n(y) = 0.
0, 1
Let t(b) = 3*b**4 + 2*b**3 + 3*b**2 + 4. Let i(x) = -2*x**4 - x**3 - 2*x**2 - 3. Let w(v) = -4*i(v) - 3*t(v). What is j in w(j) = 0?
-1, 0
Let y(m) be the second derivative of m**6/135 + m**5/45 + m**4/54 - 7*m. Suppose y(p) = 0. What is p?
-1, 0
Let z(v) be the first derivative of -2*v**5/15 - v**4/6 + 2*v**3/9 + v**2/3 + 2. Factor z(g).
-2*g*(g - 1)*(g + 1)**2/3
Solve 19*b**2 + 6*b**2 - b**3 - 3*b**3 + 2*b - 27*b**2 = 0.
-1, 0, 1/2
Let q(c) be the second derivative of c**7/294 + 2*c**6/105 + 3*c**5/70 + c**4/21 + c**3/42 - 15*c. Determine m so that q(m) = 0.
-1, 0
Let x be ((-66)/(-20))/((-2)/35). Let p = x + 58. Solve -3/4*a - p*a**3 + 3/4*a**2 + 1/4 = 0 for a.
1
Let v(f) = 4*f**3 + f - 1. Let r be v(1). Suppose -2*z - 3*w = -4 - 6, 5*w = 10. Factor 2*y - 6*y**2 - 2 + z*y + r*y**2.
-2*(y - 1)**2
Let q be (-6)/18*27/(-63). Find r such that -2/7*r**2 + 1/7*r**5 + 1/7*r**4 - 2/7*r**3 + 1/7 + q*r = 0.
-1, 1
Let t(w) be the second derivative of -w**4/54 - 2*w**3/27 - 4*w. Factor t(h).
-2*h*(h + 2)/9
Let r = 4 - -3. Let v = 12 - r. Solve -1/2 + x**2 + 2*x**3 - x**v - 1/2*x**4 - x = 0.
-1, -1/2, 1
Let a = 12 + -10. Let l(w) be the second derivative of 1/2*w**2 + a*w + 2/3*w**3 + 1/30*w**6 + 0 + 1/2*w**4 + 1/5*w**5. Factor l(s).
(s + 1)**4
Let j(t) be the first derivative of 1/3*t**6 - t**4 - 4 + 8/15*t**3 - 4/5*t + t**2 - 4/25*t**5. Suppose j(d) = 0. What is d?
-1, 2/5, 1
Suppose -s + 8 = 4*b, 2*b - 4*s - 4 = -s. Factor -1/3*t + 1/3*t**3 + 0 + 0*t**b.
t*(t - 1)*(t + 1)/3
Let q(c) be the second derivative of -c**4/30 + 4*c**3/5 - 36*c**2/5 - 4*c. Determine t so that q(t) = 0.
6
Let l = 31393/48 + -654. Let r(v) be the second derivative of -v + 0 - 1/24*v**3 + 1/4*v**2 - l*v**4. Solve r(y) = 0.
-2, 1
Suppose 1 - 5 = -2*b. Determine v, given that 19 - 19 + 2*v**4 - b*v**5 = 0.
0, 1
Let y(t) be the first derivative of 2*t**6/15 - 24*t**5/25 + 14*t**4/5 - 64*t**3/15 + 18*t**2/5 - 8*t/5 + 6. Factor y(q).
4*(q - 2)*(q - 1)**4/5
Let v(u) be the second derivative of 0*u**6 + 0 + 1/21*u**7 + 2*u + 0*u**2 + 1/3*u**3 - 1/5*u**5 + 0*u**4. Suppose v(j) = 0. Calculate j.
-1, 0, 1
Suppose -q = -0*z - 3*z - 6, 2*q - 7 = z. Let w be (6 - q - 3)*1. Factor w + 14/5*b**3 + 0*b - 2*b**4 - 4/5*b**2.
-2*b**2*(b - 1)*(5*b - 2)/5
Let g(n) be the first derivative of -2/11*n**2 + 5 - 2/33*n**3 + 0*n. Find l, given that g(l) = 0.
-2, 0
Suppose a = 5*h - 10, a + 1 - 3 = -h. Let j be a - 5/(15/(-6)). Find f, given that f + 4*f**3 + 3 + 1 - 10*f**j - 2 + 8*f**4 - 5*f**5 = 0.
-1, -2/5, 1
Let o = 17 - 20. Let x be (1/o)/(1/(-6)). Factor 1/4*g - g**x + 0 - 1/2*g**4 + 5/4*g**3.
-g*(g - 1)**2*(2*g - 1)/4
Let f(m) = m**2 - 11*m + 1. Let c be f(11). Factor 1 - c + 3*o**4 - 5*o**4 + 2*o**2.
-2*o**2*(o - 1)*(o + 1)
Let l(t) be the second derivative of -t**7/42 - t**6/15 - t**5/20 - 11*t. Factor l(c).
-c**3*(c + 1)**2
Let z = -1 + 3. Suppose -4*a + 9 - 1 = 0. Suppose -w**2 - 1 + z*w**2 + 0*w + w**3 - a*w + w = 0. What is w?
-1, 1
Let n(w) be the second derivative of 0*w**3 + 0*w**2 - 3/160*w**5 - 5*w + 0*w**4 - 1/112*w**7 + 0 - 1/40*w**6. Factor n(z).
-3*z**3*(z + 1)**2/8
Let r(