irst derivative of -5*l**6/6 - l**5 + 15*l**4/2 + 42. Factor h(m).
-5*m**3*(m - 2)*(m + 3)
Let p = -16 - -18. Suppose n - 1 = 3*a, -1 = -5*a + n - p. Factor a*x + 0*x**2 - 2/3*x**5 + 2/3*x**3 + 0*x**4 + 0.
-2*x**3*(x - 1)*(x + 1)/3
Let q(v) be the second derivative of -v**8/840 + v**7/840 + v**6/60 - 7*v**5/120 + v**4/12 + v**3 + 8*v. Let g(j) be the second derivative of q(j). Factor g(l).
-(l - 1)**2*(l + 2)*(2*l - 1)
Let y(g) = -135*g**4 - 155*g**3 - 12*g**2 + 8*g. Let h(k) = 270*k**4 + 309*k**3 + 24*k**2 - 15*k. Let q(i) = 4*h(i) + 9*y(i). Let q(u) = 0. What is u?
-1, -2/5, 0, 2/9
Let n(d) be the first derivative of -d**3/6 - d**2/2 + 3*d/2 - 3. Factor n(a).
-(a - 1)*(a + 3)/2
Find z such that -3/2*z**2 + 0 - 3/4*z - 3/4*z**3 = 0.
-1, 0
Let b(t) = -5*t**2 - 44*t - 80. Let h(d) = -d. Let u(x) = -b(x) + 4*h(x). Factor u(p).
5*(p + 4)**2
Let a = 6/755 + 2253/1510. Determine b so that -15/2*b**2 - a*b + 0 - 6*b**3 = 0.
-1, -1/4, 0
Let h(t) be the third derivative of -t**6/420 - t**5/210 - 3*t**2. Factor h(y).
-2*y**2*(y + 1)/7
Suppose -i - 6 = -2*z - 5*i, 0 = -4*z + 2*i + 12. Suppose -5*q + 0*t + 5*t + 35 = 0, -4*t + 8 = 5*q. Factor z*d**2 - d**2 - 2*d**q - 2*d**3 + 2*d**5 + 0*d**4.
2*d**2*(d - 1)**2*(d + 1)
Suppose 0*r + 2 = 3*y + 4*r, -y - 3 = 5*r. Let g(v) be the third derivative of -2*v**y + 1/180*v**5 + 0*v + 0 + 1/18*v**3 + 1/36*v**4. Let g(f) = 0. What is f?
-1
Let z = -39 + 44. Suppose z*v - 9 = 3*q, -4*q + 4 = 2*v + 16. Suppose -2/7*w**4 + 2/7*w + v - 2/7*w**3 + 2/7*w**2 = 0. Calculate w.
-1, 0, 1
Let i(f) = 4*f**4 - 6*f**3 - 4*f - 3. Let u = 18 - 9. Let j = 15 - u. Let y(c) = -9*c**4 + 13*c**3 + c**2 + 9*c + 7. Let p(t) = j*y(t) + 14*i(t). Factor p(l).
2*l*(l - 1)**3
Determine z so that 4/15*z**3 - 4/15*z + 0 + 2/15*z**2 - 2/15*z**4 = 0.
-1, 0, 1, 2
Suppose -z = 4*b - 15, -15 = -2*z - 3*b - 5. Let y be (z*4)/((-8)/4). Factor -r**2 - y*r**3 + 2*r**2 + 3*r**3 - r - r**4.
-r*(r - 1)**2*(r + 1)
Let a(w) = -w + 1. Let j(y) = 1296*y**2 + 156*y - 8. Let f(q) = -12*a(q) - j(q). Factor f(h).
-4*(18*h + 1)**2
Suppose -x + l - 5*l = -7, -5*x + 2*l + 13 = 0. Let d be 7/3 - 1/3. Factor -3*t**3 - 1 + 2*t**x - t + t**2 + d*t.
-(t - 1)**2*(t + 1)
Suppose -5*u = -106 + 1. Let t be -2 + 4 - 6/u. Factor 0 - 2/7*l + t*l**3 + 2/7*l**2.
2*l*(2*l + 1)*(3*l - 1)/7
Let m(w) be the second derivative of -w**7/315 - 8*w**6/225 - 3*w**5/25 - 8*w**4/45 - w**3/9 - 29*w. Factor m(i).
-2*i*(i + 1)**3*(i + 5)/15
Factor 24*i**5 - 9/8*i + 54*i**4 + 105/8*i**2 - 99/2*i**3 + 0.
3*i*(i + 3)*(4*i - 1)**3/8
Factor 1 - 3*u + 6*u**2 - u**3 - 3 - 4 + 4*u**3.
3*(u - 1)*(u + 1)*(u + 2)
Let x = 7 + 23. Let b be 178/x - 9/15. Determine f, given that -b + 6*f**3 - 8/3*f + 20*f**2 - 18*f**4 = 0.
-2/3, 2/3, 1
Let b be 6 + -1 + (12/2)/(-2). Find n such that 4/7*n - 2/7 - 2/7*n**b = 0.
1
Let h be -6*((-12)/(-48) - 14/24). Factor 0*w**h - 2/19*w + 0 + 2/19*w**3.
2*w*(w - 1)*(w + 1)/19
Let q = -7/22 + 79/110. Factor 1/5 - 7/5*v**4 - q*v - 2/5*v**2 + 2/5*v**5 + 8/5*v**3.
(v - 1)**4*(2*v + 1)/5
Let a be 17/30 + (-110)/275. Solve i**3 + 2/3*i**2 + 1/6*i + 0 + a*i**5 + 2/3*i**4 = 0 for i.
-1, 0
Let h = 154 + -152. Factor -h*u + 3*u**2 + 1/3.
(3*u - 1)**2/3
Let o(p) = 11*p**3 + 9*p**2 + 4*p + 6. Let m(t) = -t**3 + t**2 + t - 1. Let x(j) = -6*m(j) - o(j). Factor x(f).
-5*f*(f + 1)*(f + 2)
Let p be 2/5 + 2/(-5). Factor f**3 + f**3 - f**3 + p*f**5 - f**5.
-f**3*(f - 1)*(f + 1)
Factor 1/2 - 1/4*s**2 - 1/4*s.
-(s - 1)*(s + 2)/4
Let r(c) be the second derivative of -c**5/80 - c**4/12 - 5*c**3/24 - c**2/4 + 6*c. Factor r(p).
-(p + 1)**2*(p + 2)/4
Let i = -9 - -7. Let j be 6*i/(-4) - 6. Let m(k) = k**2 + 5*k + 4. Let h(d) = d**2 + d. Let x(q) = j*h(q) + m(q). Determine u, given that x(u) = 0.
-1, 2
Let w(q) be the first derivative of q**4/12 - q**2/2 - 2*q/3 - 48. Let w(m) = 0. What is m?
-1, 2
Let y(h) be the second derivative of 0*h**3 + 2/15*h**6 - h + 0*h**5 + 0*h**4 + 0*h**2 + 1/21*h**7 + 0. Suppose y(b) = 0. Calculate b.
-2, 0
Find p, given that 20 + 2*p + 4*p**2 + 2*p + 23*p - 3*p = 0.
-5, -1
Let r(a) be the first derivative of -2*a**5/5 + a**4 + 2*a**3 - 39. What is k in r(k) = 0?
-1, 0, 3
Factor -6 + 17 - 95*v**3 - 11 + 20*v - 40*v**2 - 35*v**4.
-5*v*(v + 1)*(v + 2)*(7*v - 2)
Let p(n) be the third derivative of 1/60*n**5 + 0*n - 1/24*n**4 + 4*n**2 + 0 - 1/6*n**3 + 1/120*n**6. Factor p(j).
(j - 1)*(j + 1)**2
Let d(t) be the first derivative of 1 - 2/27*t**3 + 1/18*t**4 + 0*t + 0*t**2. Factor d(s).
2*s**2*(s - 1)/9
Let k(p) be the first derivative of 6*p**5/5 - 29*p**4/6 + 22*p**3/3 - 5*p**2 + 4*p/3 + 3. Factor k(y).
2*(y - 1)**3*(9*y - 2)/3
Let c(v) be the third derivative of 0 + 0*v**4 + 1/9*v**3 - 1/90*v**5 + 0*v + 9*v**2. Let c(t) = 0. Calculate t.
-1, 1
Determine c so that 3/2*c**3 + 15/2*c + 3 + 6*c**2 = 0.
-2, -1
Determine f so that -1/6*f**2 + 0 - 1/6*f**3 + 1/6*f**5 + 0*f + 1/6*f**4 = 0.
-1, 0, 1
Let f(d) be the third derivative of -d**7/3360 - d**6/2880 + d**4/8 - 7*d**2. Let a(i) be the second derivative of f(i). Find k such that a(k) = 0.
-1/3, 0
Let b(g) be the third derivative of g**7/105 - g**6/20 - g**5/30 + g**4/4 + 12*g**2. Determine f so that b(f) = 0.
-1, 0, 1, 3
Let z(m) be the first derivative of -m**3 + 21*m**2/4 - 9*m/2 - 9. Factor z(g).
-3*(g - 3)*(2*g - 1)/2
Let i(k) be the first derivative of -9*k**4/8 + 4*k**3 + 11*k**2 + 8*k - 17. Suppose i(a) = 0. Calculate a.
-2/3, 4
Let m(u) be the first derivative of -3*u**5/5 + 3*u**4 - u**3 - 3*u**2 + 6*u - 7. Let n(q) = -q**3 + q - 1. Let z(a) = m(a) + 6*n(a). Let z(i) = 0. Calculate i.
0, 1
Suppose -5*d = -2*l + 13, 2*d = -l + 2*l - 6. Determine a so that -3/2 + 3*a**3 - 21*a**2 + 21/2*a - 27/2*a**5 + 45/2*a**l = 0.
-1, 1/3, 1
Let d = -22 - -26. Let x(j) be the second derivative of -1/42*j**d + 0*j**3 + 0 + 0*j**2 - j - 1/70*j**5. Let x(k) = 0. What is k?
-1, 0
Suppose 2*c + 27 = o + 13, -4*o + 6 = 2*c. Factor -12/7*j**2 - 24/7*j**o - 2/7*j - 8/7*j**5 + 0 - 26/7*j**3.
-2*j*(j + 1)**2*(2*j + 1)**2/7
Let l(q) be the third derivative of q**6/280 - q**5/140 - q**4/14 + 2*q**3/7 - 6*q**2. Solve l(t) = 0 for t.
-2, 1, 2
Let y(i) be the second derivative of -i + 1/45*i**5 + 0*i**4 - 2/27*i**3 + 1/135*i**6 - 1/9*i**2 + 0. Factor y(w).
2*(w - 1)*(w + 1)**3/9
Let s(q) be the third derivative of q**7/210 - 2*q**6/45 + q**5/6 - q**4/3 - 5*q**3/6 - 2*q**2. Let x(j) be the first derivative of s(j). Factor x(h).
4*(h - 2)*(h - 1)**2
Let x(i) be the third derivative of -1/36*i**4 - 2/27*i**3 - 1/270*i**5 + 0*i - 2*i**2 + 0. Factor x(k).
-2*(k + 1)*(k + 2)/9
Let w = -16 - -21. Factor -92/3*v**2 - 6*v**4 + 20*v**3 + 22*v + 2/3*v**w - 6.
2*(v - 3)**2*(v - 1)**3/3
Let l(o) be the third derivative of -o**6/120 - o**5/30 + 5*o**4/8 + 6*o**3 - 3*o**2 + 2*o. Let l(p) = 0. What is p?
-3, 4
Let b(l) be the first derivative of -14*l**6 + 339*l**5/5 - 213*l**4/2 + 53*l**3 + 12*l**2 - 12*l + 1. Suppose b(d) = 0. What is d?
-1/4, 2/7, 1, 2
Suppose 1407*d - 1407*d - 38*d**4 + 14*d**5 + 8*d**2 + 16*d**3 = 0. What is d?
-2/7, 0, 1, 2
Factor 1/2 - 2/3*s + 1/6*s**2.
(s - 3)*(s - 1)/6
Let h = 257/88 - 23/8. Let q(x) be the first derivative of 1 + 4/33*x**3 - 1/11*x**2 + h*x**4 - 4/11*x. Let q(z) = 0. What is z?
-2, -1, 1
Let n be 6/30 - 18/(-10). Factor 76*p**3 - 16*p - 10*p**2 - 9*p**2 - 13*p**n - 28*p**4.
-4*p*(p - 2)*(p - 1)*(7*p + 2)
Let z(k) be the first derivative of 1 + 5/6*k**4 + 2*k - 4/3*k**3 - k**2. Let w(r) be the first derivative of z(r). Let w(l) = 0. Calculate l.
-1/5, 1
Let q(c) be the first derivative of -c**5 + 15*c**4/4 - 5*c**3/3 - 15*c**2/2 + 10*c - 20. Determine z so that q(z) = 0.
-1, 1, 2
Let m(p) = p**2 - 4*p - 19. Let o be m(7). Let f be 8/(-18)*(-6)/4. Let -2/3 + f*c**3 - o*c**2 + 2*c = 0. Calculate c.
1
Let z(v) = -v**3 - 8*v**2 + 7*v - 18. Let l be z(-9). Let m = 177 + -882/5. Factor 3/5*h**2 + l + m*h.
3*h*(h + 1)/5
Let d(i) = -4*i**4 - 2*i**3 + 3*i**2 - 4*i - 5. Let b = 2 + -3. Let x(h) = h**4 + h**3 + h + 1. Let g(k) = b*d(k) - 5*x(k). Let g(m) = 0. What is m?
-1, 0
Suppose -3*c + 5*y = -5*c + 32, 4*y - 28 = -2*c. Let x be ((-19)/(-9) + -2)*c. Factor x*k**3 + 2/3*k - 4/3*k**2 + 0.
2*k*(k - 1)**2/3
Suppose -2*c = -3*b - 25, -2*c + 5*b + 24 + 7 = 0. Let g = c - 8. Factor -1/3 + 1/3*v**2 + g*v.
(v - 1)*(v + 1)/3
Let a(h) = -3*