 = y**2 - 2*y - 3. Let j(v) = v**2 - 1. Let z(r) = n*j(r) + q(r). Factor z(k).
-2*k*(k + 1)
Factor 3*b**4 + 4 - 8*b**3 + 3*b + 5*b - 7*b**4.
-4*(b - 1)*(b + 1)**3
Let z be (-2 + 30/9)/(2/3). Let q(v) be the second derivative of 3*v + 0 + 1/12*v**4 + 0*v**3 + 1/42*v**7 + 0*v**z - 1/20*v**5 - 1/30*v**6. Factor q(b).
b**2*(b - 1)**2*(b + 1)
Let -8*m + 4*m - m**2 + 4*m = 0. What is m?
0
Let 2/7*n**4 + 0 + 0*n - 8/7*n**3 + 6/7*n**2 = 0. What is n?
0, 1, 3
Let u(o) be the second derivative of o**6/90 - o**4/36 - 5*o. Factor u(t).
t**2*(t - 1)*(t + 1)/3
Let o = 8 + 8. Let s be ((-2)/(-12))/(8/o). Factor 1/3*z**5 + 1/3*z**2 + 0*z + 0 - s*z**4 - 1/3*z**3.
z**2*(z - 1)**2*(z + 1)/3
Let g(v) = -2. Let c(l) = 2*l**2 - 6. Let d(p) = 2*c(p) - 4*g(p). Let d(j) = 0. Calculate j.
-1, 1
Suppose 0 = -13*o + 12 + 40. Let m(i) be the second derivative of 0 - 1/54*i**o + 1/135*i**6 + 0*i**5 + 2*i + 0*i**3 + 0*i**2. Factor m(z).
2*z**2*(z - 1)*(z + 1)/9
Let h = 10 - 14. Let l(q) = 10*q**2 + 9*q + 2. Let g(j) = -11*j**2 - 9*j - 2. Let s = 7 + -10. Let m(x) = h*l(x) + s*g(x). Factor m(k).
-(k + 1)*(7*k + 2)
Let j(p) = -p**2 + 6. Let r(n) = n**2 + 6*n - 5. Let k(g) = -g**2 - 7*g + 5. Let b(f) = -6*k(f) - 7*r(f). Let u(v) = 5*b(v) - 4*j(v). Solve u(s) = 0.
-1, 1
Let o(c) = c**2. Let u(b) be the third derivative of b**5/30 + b**2. Let h be (-2)/(-4) - 1/(-2). Let m(p) = h*o(p) - u(p). Factor m(s).
-s**2
Let v(u) = u**3 + u**2. Let p(h) = -2*h**3 - 6*h**2 + 4. Let b(y) = -p(y) - 3*v(y). Factor b(f).
-(f - 2)**2*(f + 1)
Let l(h) be the third derivative of h**7/630 - h**6/180 + h**5/180 + 6*h**2. Factor l(x).
x**2*(x - 1)**2/3
Let j(t) be the second derivative of 1/3*t**3 - 1/6*t**4 + 1/30*t**5 - 2*t**2 + 0 - 3*t. Let s(p) be the first derivative of j(p). Determine c so that s(c) = 0.
1
Let w be 60/18 + 4/6. Factor 2*c + 4 - 5*c - w*c - 16*c**2 - 6*c**3 + c.
-2*(c + 1)*(c + 2)*(3*c - 1)
Let j(b) be the third derivative of -b**7/420 + b**6/40 - 13*b**5/120 + b**4/4 - b**3/3 + 4*b**2. Factor j(c).
-(c - 2)**2*(c - 1)**2/2
Find h such that 2/11 + 4/11*h**3 - 4/11*h + 0*h**2 - 2/11*h**4 = 0.
-1, 1
Solve 6*m**3 + 4*m**5 - 9*m**4 + 5*m**4 + 4*m**2 + 8*m - 18*m**3 = 0.
-1, 0, 1, 2
Let l(a) be the first derivative of -a**3 - 1/120*a**4 - 1/1800*a**6 + 0*a + 2 + 0*a**2 - 1/300*a**5. Let s(n) be the third derivative of l(n). Factor s(h).
-(h + 1)**2/5
Let v(t) = -t**3 - 21*t**2 + 47*t + 27. Let p be v(-23). Let 2/7*c**p + 0*c**2 + 4/7*c**3 + 0*c + 0 = 0. What is c?
-2, 0
Let v = 15652/25 + -626. Let b(s) be the first derivative of 2/15*s**3 - 1/5*s**2 + 1/10*s**4 + 0*s - v*s**5 - 1. Factor b(u).
-2*u*(u - 1)**2*(u + 1)/5
Let b(d) be the third derivative of d**5/20 + d**4/2 - 2*d**2. Factor b(v).
3*v*(v + 4)
Let i be (148/28)/1 - 4/14. Let g(p) be the third derivative of 0 - 1/3*p**3 + 0*p + 2*p**2 - 1/8*p**4 - 1/60*p**i. Factor g(r).
-(r + 1)*(r + 2)
Let x = 103/42 + -16/7. Factor x*o**2 + 0 + 1/2*o.
o*(o + 3)/6
Let r = -3 - -1. Let k = r - -4. What is s in s - 2*s + s**5 + k*s**4 - 4*s**2 + 2*s**2 = 0?
-1, 0, 1
Let y = -8 - 1. Let r(o) = 3*o**5 + 6*o**4 + 12*o**3 - 9*o - 9. Let d(v) = v**3 - v - 1. Let p(n) = y*d(n) + r(n). Factor p(i).
3*i**3*(i + 1)**2
Suppose 2*x = x + 4. Suppose x*c - 2 = 2*n, -5*n + 2*c = -0*c - 11. Suppose -6*r**2 + r**3 - 4*r - 2 - 5*r - 3*r**n + 3*r = 0. What is r?
-1
Let y = 693 + -691. Suppose 1/5*z**5 - 3/5*z**y + 0 - 2/5*z + 1/5*z**3 + 3/5*z**4 = 0. Calculate z.
-2, -1, 0, 1
Let d(b) be the third derivative of 0*b**6 + 0*b - 1/70*b**7 + 3/20*b**5 - b**2 + 0*b**3 + 1/4*b**4 + 0. Let d(o) = 0. Calculate o.
-1, 0, 2
Let w(z) = 5*z**4 - 10*z**3 + 5*z**2 + 15*z + 25. Let f(t) = t**2 - t + 1. Let k(s) = 25*f(s) - w(s). What is l in k(l) = 0?
-2, 0, 2
Let a(b) be the first derivative of -1/7*b**2 - 5 + 1/14*b**4 + 2/7*b - 2/21*b**3. Let a(j) = 0. What is j?
-1, 1
Factor 2/21*f**2 + 4/21*f + 0.
2*f*(f + 2)/21
Let u(b) be the second derivative of b**6/90 + b**5/30 - b**4/36 - b**3/9 + 26*b. Factor u(a).
a*(a - 1)*(a + 1)*(a + 2)/3
Let d(z) be the second derivative of 7*z**6/200 + 19*z**5/100 + z**4/5 - 2*z**3/5 - z**2 - 3*z. Let o(l) be the first derivative of d(l). Factor o(a).
3*(a + 1)*(a + 2)*(7*a - 2)/5
Let y(s) = s**2 - 1. Let k be y(1). Solve 4 - 10*c + 10*c**3 - 2*c**2 + k + 0*c**2 - 2*c**2 = 0.
-1, 2/5, 1
Let c be 1/(-2) + (-2)/(-4). Let t(q) be the first derivative of 0*q**2 - 1 + c*q**3 + 0*q + 1/14*q**4. Factor t(o).
2*o**3/7
Factor 0*t - 4/5*t**4 + 4/5*t**3 + 0*t**2 + 0.
-4*t**3*(t - 1)/5
Let d(p) be the third derivative of -p**2 - 1/80*p**6 + 0*p**3 + 0 - 1/420*p**7 - 1/48*p**4 - 1/40*p**5 + 0*p. Suppose d(b) = 0. What is b?
-1, 0
Factor 5*g**5 - 12*g - 31*g**3 + 32*g**2 - g**5 + 7*g**3.
4*g*(g - 1)**3*(g + 3)
Let q(b) be the first derivative of 3*b**4/4 + b**3 - 3*b**2 + 13. Determine t, given that q(t) = 0.
-2, 0, 1
Factor -4/7*c + 4/7*c**4 + 0 - 4/7*c**2 + 4/7*c**3.
4*c*(c - 1)*(c + 1)**2/7
Let q = 4854/7 + -22352/35. Let f = 58 - q. Solve 2/5*k**3 + f*k - 8/5 - 2*k**2 = 0.
1, 2
Let q(a) be the first derivative of -a**6/12 + a**5/10 + 3*a**4/8 - 5*a**3/6 + a**2/2 + 11. Let q(o) = 0. Calculate o.
-2, 0, 1
Let d(z) be the second derivative of 0*z**4 - 2/135*z**6 + 0*z**2 + 8*z + 0*z**3 + 0 + 1/189*z**7 + 0*z**5. Determine f so that d(f) = 0.
0, 2
Let d(y) be the third derivative of -y**9/60480 - y**8/20160 - y**5/30 - 2*y**2. Let m(r) be the third derivative of d(r). Let m(t) = 0. What is t?
-1, 0
Let s(q) = q**3 - q + 3. Let h be s(0). Factor -h + 3 + 30*t**2 - 36*t**2 - 3*t**4 - 9*t**3.
-3*t**2*(t + 1)*(t + 2)
Let o = -160 + 160. Let t(b) be the second derivative of b**4 - 1/14*b**7 - 1/2*b**3 + 2/5*b**6 - 9/10*b**5 - 2*b + o*b**2 + 0. Factor t(i).
-3*i*(i - 1)**4
Let w(a) be the first derivative of -a**5/10 - a**4/2 + 2*a**3 + 38. Factor w(o).
-o**2*(o - 2)*(o + 6)/2
Suppose 377*b = 376*b + 2. Find v such that 2/5*v**b + 4/5 + 6/5*v = 0.
-2, -1
Factor -70*n**3 + 60*n**2 + 37*n**3 - 6*n + 46*n + 25*n**4 - 57*n**3.
5*n*(n - 2)**2*(5*n + 2)
Let f(c) = -c**3 + 3*c**2 - 2*c + 3. Let w be f(2). Suppose 2*n + 4 = 5*d, 5*d - w*n = n - 2. Factor -3*x**2 - d*x**3 + 4*x**3 + 2*x**2.
x**2*(2*x - 1)
Let m(p) be the third derivative of -p**7/630 - p**6/180 + p**4/36 + p**3/18 + 3*p**2. Determine g so that m(g) = 0.
-1, 1
Let g be ((-7)/(-2) - 2)*2. Factor 4*u**3 + u**2 - 6*u**g + 0*u**2 + u**4.
u**2*(u - 1)**2
Let v be ((-16)/24)/(-2 - 0). Let t(q) be the first derivative of -2/9*q**6 + 2/3*q**3 + v*q**2 - 3 + 0*q - 2/5*q**5 + 1/6*q**4. Suppose t(o) = 0. What is o?
-1, -1/2, 0, 1
Let u be 4/(22/12 + 2/(-4)). Let z(r) be the first derivative of -2/15*r**u + 0*r + 2 + 2/5*r**2. Suppose z(n) = 0. What is n?
0, 2
Factor -1/3*c**2 + 1/3*c + 2/3.
-(c - 2)*(c + 1)/3
Suppose 7*w - 2*w = 0. Solve w*l**2 + 3*l**2 + 3*l + 0*l = 0.
-1, 0
Let h = 6625/48 - 138. Let b(t) be the second derivative of h*t**4 + 0 - 1/80*t**5 + 1/168*t**7 + t - 1/120*t**6 + 0*t**2 + 0*t**3. Factor b(f).
f**2*(f - 1)**2*(f + 1)/4
Factor 0*v - 2/5*v**2 + 2/5*v**5 - 2/5*v**3 + 2/5*v**4 + 0.
2*v**2*(v - 1)*(v + 1)**2/5
Let d be 1 - (-1 - 0)*3. Let z(a) = 2*a - 6. Let y be z(d). Determine m so that -1/2 + 3/2*m + 3/2*m**4 - m**3 - 1/2*m**5 - m**y = 0.
-1, 1
Let b(a) be the first derivative of -3/2*a**2 + a - 2 - 13/3*a**3 + 15/4*a**4. Factor b(d).
(d - 1)*(3*d + 1)*(5*d - 1)
Let v(k) be the third derivative of -7*k**7/10 + 7*k**6/10 + 9*k**5/4 - 7*k**4/2 + 2*k**3 - 5*k**2. Suppose v(i) = 0. Calculate i.
-1, 2/7, 1
Let i(c) be the second derivative of -2*c**7/21 - 4*c**6/3 - 33*c**5/5 - 40*c**4/3 - 32*c**3/3 - c. Factor i(p).
-4*p*(p + 1)**2*(p + 4)**2
Let f = 517 + -3617/7. Factor -2/7*o**4 + 0 - f*o - 6/7*o**3 - 6/7*o**2.
-2*o*(o + 1)**3/7
Let t(p) be the first derivative of -p**4/30 - 4*p**3/45 + 4*p**2/15 + 16*p/15 - 8. Suppose t(z) = 0. What is z?
-2, 2
Factor 14/5*m**2 + 7/5*m**5 - 3/5*m - 2/5 - 4/5*m**3 - 12/5*m**4.
(m - 1)**3*(m + 1)*(7*m + 2)/5
Suppose 2*i + 15 = -13. Let k = 14 + i. Let 1/2*x**3 - x**2 + k + 1/2*x = 0. Calculate x.
0, 1
Let t = -1/152 + 309/760. Let g(q) be the first derivative of -1/6*q**6 - 2 + 0*q + 0*q**3 - 1/4*q**4 - t*q**5 + 0*q**2. Find u, given that g(u) = 0.
-1, 0
Suppose -54*m = -53*m - 5. Let k(u) be the third derivative of -3*u**2 + 1/18*u**3 + 1/180*u**m +