*u(b). Factor j(o).
-4*o*(o - 2)
Let 1/4*f - 1/4*f**2 - 1/4*f**3 + 1/4 = 0. Calculate f.
-1, 1
Let o(r) be the second derivative of 1/2*r**2 + 0 - 1/24*r**4 + 3*r - 1/12*r**3. Factor o(n).
-(n - 1)*(n + 2)/2
Determine q, given that 2/5*q**3 + 0 - 2/5*q + 0*q**2 = 0.
-1, 0, 1
Let l be (-6)/15 + (-381)/(-15). Let a be (-10)/l + (-6)/(-15). Factor a + 1/4*g**2 - 1/4*g.
g*(g - 1)/4
Suppose -7*u + 2*u = -x + 24, -3*x + 16 = -u. Factor 1/5*a**x + 2/5*a - 1/5*a**2 + 0 - 2/5*a**3.
a*(a - 2)*(a - 1)*(a + 1)/5
Let s(h) be the third derivative of 0*h**4 + 0*h + 1/150*h**5 + 0 - 1/1050*h**7 - 1/30*h**3 + 10*h**2 + 0*h**6. Let s(m) = 0. What is m?
-1, 1
Let j(u) be the first derivative of 7*u**3/3 - 7*u + 5. Let x(b) = -15*b**2 + 15. Let f(v) = -13*j(v) - 6*x(v). Suppose f(o) = 0. Calculate o.
-1, 1
Let v(b) be the second derivative of -3*b**5/20 + b**3/2 - 5*b. Determine q so that v(q) = 0.
-1, 0, 1
Let n(f) = -f + 4. Let u be n(4). Let w(p) be the first derivative of -2 + 0*p**2 - 1/2*p**4 + u*p**3 + 0*p. Factor w(c).
-2*c**3
Factor -224/5*q**2 - 128/5*q**3 - 36/5*q**4 - 4/5*q**5 - 192/5*q - 64/5.
-4*(q + 1)*(q + 2)**4/5
Let n(u) = u**2 - 3*u. Let k be n(4). Suppose 0 = 3*v + 3*g, 5*v + 2*g = 7*g. Factor 0*p**k + 1/4*p**5 + v*p**2 + 0 - 1/2*p**3 + 1/4*p.
p*(p - 1)**2*(p + 1)**2/4
Let t(f) be the third derivative of -3*f**6/100 - 2*f**5/25 + 11*f**4/60 - 2*f**3/15 + 7*f**2. Factor t(s).
-2*(s + 2)*(3*s - 1)**2/5
Let h(n) be the third derivative of n**6/900 - n**4/45 + 2*n**2. Suppose h(s) = 0. Calculate s.
-2, 0, 2
Let o(k) = -k**3 + 4*k**2 - 2*k - 1. Let b be o(1). Let p(c) be the second derivative of 0*c**2 + 1/4*c**4 + c + b - c**3. Suppose p(x) = 0. Calculate x.
0, 2
Let t(x) be the first derivative of x**4/14 - x**3/21 + 2*x - 2. Let j(n) be the first derivative of t(n). Factor j(o).
2*o*(3*o - 1)/7
Let s(k) be the second derivative of -5*k**7/42 + 3*k**5/4 - 5*k**4/6 + 8*k. Factor s(l).
-5*l**2*(l - 1)**2*(l + 2)
Let o = -1/33 + 23/33. Factor 2/3 + 2/3*r**4 - o*r + 4/3*r**3 - 4/3*r**2 - 2/3*r**5.
-2*(r - 1)**3*(r + 1)**2/3
Suppose 6*d + 4 = 7*d. Let a(w) be the first derivative of 0*w**3 - 1/8*w**d + 2 + 1/4*w**2 + 0*w. Factor a(n).
-n*(n - 1)*(n + 1)/2
Let n(x) be the first derivative of -x**5/360 - x**4/72 - x**3/36 - 3*x**2/2 + 4. Let j(t) be the second derivative of n(t). Factor j(d).
-(d + 1)**2/6
Let k(d) be the third derivative of -1/840*d**8 + 0*d**3 + 1/75*d**5 - 2/525*d**7 - 2*d**2 + 0*d**6 + 0*d + 1/60*d**4 + 0. Factor k(h).
-2*h*(h - 1)*(h + 1)**3/5
Let b(g) = 4*g**2 + g - 3. Let a(x) = 10*x**2 + 2*x - 8. Let h(d) = 5*a(d) - 12*b(d). Solve h(k) = 0.
-1, 2
Let o(w) = -6*w**2 - 8*w + 9. Let u(f) = 5*f**2 + 8*f - 7. Let z(h) = -2*o(h) - 3*u(h). Factor z(y).
-(y + 3)*(3*y - 1)
Suppose 26 + 15*c**2 - 3*c**3 + 45*c - 2*c**3 - 1 = 0. What is c?
-1, 5
Let a(i) be the first derivative of -2*i**6/9 + 11*i**5/15 - i**4/12 - 13*i**3/9 + 5*i**2/6 + 2*i/3 - 2. Solve a(v) = 0.
-1, -1/4, 1, 2
Factor -10 - u**2 + 2684*u - 2700*u - 54.
-(u + 8)**2
Let f(d) = d**3 + 7*d**2 + 6*d - 4. Let y be f(-5). Suppose 2*a + 2*a - y = 0. Solve c**4 - c**2 + c**a - c**4 = 0.
-1, 0, 1
Let a(m) be the second derivative of m**6/225 + m**5/75 - m**4/30 - 4*m**3/45 + 4*m**2/15 - m. Determine y, given that a(y) = 0.
-2, 1
Factor 1/2*z**2 - 2*z + 3/2.
(z - 3)*(z - 1)/2
Let d(y) be the third derivative of -3*y**7/70 - y**6/20 + y**5/20 - 15*y**2. Determine o so that d(o) = 0.
-1, 0, 1/3
Let f(y) be the second derivative of -y**5/60 - 2*y**4/9 - 7*y**3/6 - 3*y**2 + 49*y. Find c such that f(c) = 0.
-3, -2
Let o(i) be the third derivative of 0*i**5 - 7*i**2 + 0*i**3 + 0*i + 1/112*i**8 + 2/35*i**7 + 0*i**4 + 1/10*i**6 + 0. Factor o(s).
3*s**3*(s + 2)**2
Suppose -4*x - 5*o - 7 = 0, -4*o - 4 - 16 = -4*x. Let y = x - 0. Solve -4*i**2 + 1 + 7*i**y + 9*i + 5 = 0.
-2, -1
Let i = -18 - -21. Determine l, given that 0*l - 6*l**4 + i*l**3 + 0*l + 3*l**4 = 0.
0, 1
Suppose 5 + h**3 - 1 - 12*h + 17*h - 6*h - 4*h**2 = 0. Calculate h.
-1, 1, 4
Suppose 1 - 5 = -2*s. Factor 6/5*d**3 - 14/5*d**2 - 2/5 + s*d.
2*(d - 1)**2*(3*d - 1)/5
Factor -24/5*l - 2/5*l**2 - 72/5.
-2*(l + 6)**2/5
Let o(h) be the first derivative of 3*h**2/2 - 8*h - 9. Let x be o(4). Let 2/3*m**5 + 2*m**3 + 2*m**x + 0 + 0*m + 2/3*m**2 = 0. What is m?
-1, 0
Suppose -3*y = 5*c - 12, 8*y - 3*y = -3*c + 4. Let k be 6/(-6)*(-3 + 0). Factor -c*b**3 - 2*b**5 + 7*b**4 - 3*b**4 + 0*b**5 + b**k.
-2*b**3*(b - 1)**2
Suppose 5 = -4*o - 3. Let h(m) = -m**3 + m - 2. Let r be h(o). Suppose 2*c**2 - 2/5 - 8/5*c**r + 6/5*c**3 - 6/5*c = 0. What is c?
-1, -1/4, 1
Let d(t) be the second derivative of -3*t**7/56 - 7*t**6/8 - 45*t**5/8 - 135*t**4/8 - 135*t**3/8 + 243*t**2/8 + 41*t. Factor d(m).
-3*(m + 3)**4*(3*m - 1)/4
Let l(f) be the third derivative of f**5/120 - 13*f**4/24 + 169*f**3/12 - 3*f**2 + 1. Factor l(a).
(a - 13)**2/2
Suppose 7 = 3*t + 1. Suppose -t*y = -y. Solve -1/2*b**3 + 1/4*b**2 + 0 + 1/4*b**4 + y*b = 0 for b.
0, 1
Let d be ((-1)/3 - (-70)/30) + 0. Let x(m) be the first derivative of -d - 1/15*m**3 + 1/5*m + 0*m**2. Factor x(f).
-(f - 1)*(f + 1)/5
Suppose -10*c**4 - 2*c + 13*c**4 + c - 3*c**2 - 3*c**3 + 4*c = 0. What is c?
-1, 0, 1
Let i(k) = k**2 + 3*k + 3. Let g be i(-6). Solve -9*x**2 + 5*x**4 - 6*x + 4*x**4 - 6*x**2 + g*x**3 - 15*x**5 + 6*x**2 = 0.
-1, -2/5, 0, 1
Let n(f) = f**2 + 13*f - 24. Let j(b) = -2*b**2 - 20*b + 36. Let g(w) = 5*j(w) + 7*n(w). Suppose g(s) = 0. What is s?
-4, 1
Suppose 4*b - 3*r - 14 = 0, 2*b - r - 8 = -b. Solve -5*z**2 + z**b + 3*z**2 = 0 for z.
0
Let i(y) be the first derivative of -1/10*y**5 - 2 - y**3 - y**2 - 1/2*y - 1/2*y**4. Factor i(h).
-(h + 1)**4/2
Let x be (0 - -3)/3 + 4. Let y be 1 + x/(-3) + 1. Factor -1/3*d**2 - 1/3*d**3 + y + 1/3*d.
-(d - 1)*(d + 1)**2/3
Let t = -5 - -10. Factor 11*j**3 - t*j**3 - 2*j - j - 3*j**5.
-3*j*(j - 1)**2*(j + 1)**2
Let a(i) be the third derivative of i**8/1176 + i**7/735 - i**6/420 - i**5/210 - i**2. Factor a(p).
2*p**2*(p - 1)*(p + 1)**2/7
Factor 0 - 20 + 2*m**3 + 0*m**3 - 4*m**2 - 35*m + 9*m.
2*(m - 5)*(m + 1)*(m + 2)
Let z = -3 - -3. Suppose 0 = -4*d - 3*s + 20, d = -z*d + 3*s - 10. Factor x**3 - 2*x**3 + 4*x**d - 4*x**2.
-x**3
Let w = -5 - -9. Suppose 0*v - 2*v = -w. Suppose -l**4 - 4*l**4 - l + l**3 + l**v + 4*l**4 = 0. What is l?
-1, 0, 1
Let y be ((-16)/(-6))/(-4)*45/(-10). Let j(x) be the third derivative of 0*x**3 + 0*x + 1/12*x**4 + 0 + 1/15*x**6 - 1/6*x**5 - y*x**2. Factor j(p).
2*p*(p - 1)*(4*p - 1)
Let n(c) = c**2 - 4*c. Let v = -8 + 3. Let u(s) = -2*s**2 + 9*s. Let x(y) = v*n(y) - 2*u(y). Find h, given that x(h) = 0.
0, 2
Factor 1/6*m**2 + 0 + 0*m - 1/6*m**3.
-m**2*(m - 1)/6
Suppose -18/7*u**3 - 12/7*u**4 - 3/7*u - 12/7*u**2 + 0 - 3/7*u**5 = 0. What is u?
-1, 0
Let b(s) be the second derivative of -5*s + 1/14*s**3 + 0*s**4 + 0*s**2 - 3/140*s**5 + 0. Let b(m) = 0. What is m?
-1, 0, 1
Suppose -2*p + 4 + 2 = 0. Suppose -22 = -m + 4*j, 2*m + j - p = -4. Factor -1/2*d**m - d - 1/2.
-(d + 1)**2/2
Suppose -15 = -4*x - 3. Let l(m) be the first derivative of 1/8*m**2 + 1 - 1/6*m**x + 1/4*m. Determine p, given that l(p) = 0.
-1/2, 1
Let m(w) be the first derivative of w**4/16 + w**3/3 + 3*w**2/8 + 6. Determine l, given that m(l) = 0.
-3, -1, 0
Factor -5 - 7 + 3 + 3*z**2 + 4*z - 10*z.
3*(z - 3)*(z + 1)
Determine f, given that 1 + 3 - 24*f - 4 - 3*f**2 = 0.
-8, 0
Let t(l) be the first derivative of 1/15*l**3 + 2 + 0*l**2 - 1/5*l. Factor t(y).
(y - 1)*(y + 1)/5
Let h(k) = k**3 + 2*k**2 - k + 2. Let q be 1*(-2)/(-4)*0. Let l be h(q). Factor 4/3*d**l + 0 - 2/3*d - 2/3*d**3.
-2*d*(d - 1)**2/3
Suppose -3 = -5*l + 17. Suppose 0 = 2*w - l*w + 4*d + 4, -2*w + 4 = 2*d. Factor -1/4*c**w - 1/2*c - 1/4.
-(c + 1)**2/4
Let y = 58 - 55. Let k(f) be the second derivative of -1/12*f**y + 0*f**2 + 2*f + 0 - 1/24*f**4. Factor k(t).
-t*(t + 1)/2
Let z(p) be the first derivative of 3*p**4/16 - 11*p**3/12 + p**2 + p + 7. Suppose z(q) = 0. Calculate q.
-1/3, 2
Suppose -x + 25 - 8 = 3*m, -2*x - 21 = -5*m. Factor 2*q**2 + 9*q**3 + m*q**2 - q**2 - 15*q**4.
-3*q**2*(q - 1)*(5*q + 2)
Let r be ((-48)/15)/2*(-5)/180. Let z(h) be the second derivative of 0*h**3 + 1/63*h**7 + 0*h**2 - h + 0 + 0*h**4 + r*h**6 + 1/30*h**5. Solve z(q) = 0 for q.
-1, 0
Let r(p) be the third derivative of -p**10/