be the third derivative of 0 + 1/420*l**6 + l**2 + 1/84*l**4 + 0*l**v + 0*l - 1/105*l**5. Factor g(o).
2*o*(o - 1)**2/7
Let f(l) be the first derivative of 1/6*l**3 + 2 - 3/16*l**4 - 1/2*l + 3/8*l**2. Factor f(j).
-(j - 1)*(j + 1)*(3*j - 2)/4
Let h be 14/(-595)*5 - 120/(-442). Find u such that 0*u - 2/13*u**2 + h*u**3 + 0 = 0.
0, 1
Let b(q) = q**2 + 11*q - 100. Let h be b(6). Suppose -4/5*a - 2/5 - 2/5*a**h = 0. What is a?
-1
Suppose -15/2*p**2 + 3/2*p**3 - 6 + 12*p = 0. Calculate p.
1, 2
Suppose 3/2*z - 3*z**3 + 3/2*z**4 + 3/2*z**5 - 3*z**2 + 3/2 = 0. What is z?
-1, 1
Suppose 0*p + p = 4. Let b(s) be the second derivative of 1/21*s**7 - 1/5*s**5 - s**2 + 1/3*s**p + 1/3*s**3 - 1/15*s**6 + s + 0. What is x in b(x) = 0?
-1, 1
Let c(q) be the second derivative of -7*q**6/30 - q**5/4 + q**4/3 - q**2 + 4*q. Let o(d) = d**4 + d**3. Let y(w) = -c(w) - 5*o(w). Find a, given that y(a) = 0.
-1, 1
Let o(v) be the first derivative of v**4/6 - v**2 + 3*v - 3. Let d(b) be the first derivative of o(b). Find m, given that d(m) = 0.
-1, 1
Let o(h) = 3*h**2 - h - 2. Let d(z) = -z**2 + z. Let l(u) = -2*d(u) - o(u). Factor l(w).
-(w - 1)*(w + 2)
Let t(v) be the second derivative of -v**10/10080 - v**9/2520 + v**7/420 + v**6/240 - v**4/3 + 2*v. Let s(h) be the third derivative of t(h). Factor s(j).
-3*j*(j - 1)*(j + 1)**3
Let v = -2 - -4. Determine r, given that -r**v + r**3 + r**3 - 3*r**3 = 0.
-1, 0
Let u(y) be the third derivative of y**8/112 + y**7/14 + 9*y**6/40 + 7*y**5/20 + y**4/4 - 32*y**2. Find l such that u(l) = 0.
-2, -1, 0
Let d be (-2 - 7/(-2))*2. Factor 5*z**3 - 4*z**3 - 2*z**d + z**5.
z**3*(z - 1)*(z + 1)
Let t(d) be the first derivative of d**4/4 + 14*d**3/3 + 13*d**2/2 + d + 10. Let s be t(-13). Find c such that -s - 1/2*c**2 - 3/2*c = 0.
-2, -1
Let u(d) = -5*d**3 - 4*d**2 + 7*d + 2. Let p(z) = z**3 + z**2 - z. Let r(f) = 20*p(f) + 5*u(f). Factor r(m).
-5*(m - 2)*(m + 1)**2
Factor 1/3*q**4 + 4/3*q**3 + 0 - 1/3*q**2 - 4/3*q.
q*(q - 1)*(q + 1)*(q + 4)/3
Let b(r) be the first derivative of 9 - 1/12*r**3 - 1/16*r**4 + 1/4*r**2 + 0*r. Factor b(n).
-n*(n - 1)*(n + 2)/4
Factor 1/4*n**4 + 0 - 1/4*n**3 + 1/4*n - 1/4*n**2.
n*(n - 1)**2*(n + 1)/4
Let k(a) = a**3 - 5*a**2 - a. Let x be k(4). Let d be (2/(-5))/(2/x). Factor 6*p**3 + 2*p**5 - 3*p**d + 9*p**4 + 0*p**2 + 2*p**2.
2*p**2*(p + 1)**3
Let w = 1 + 1. Suppose 0*g**3 - 2*g**3 + 4*g**2 + w*g - 6*g**2 + 2 = 0. Calculate g.
-1, 1
Let v = -1329/10 - -133. Let w(n) be the first derivative of 0*n**2 + 0*n + 2 + v*n**5 + 1/6*n**3 - 1/4*n**4. Factor w(m).
m**2*(m - 1)**2/2
Factor 0*a - 2/7*a**3 + 2/7*a**2 + 0.
-2*a**2*(a - 1)/7
Factor -2/7*k**3 - 72/7 - 48/7*k + 22/7*k**2.
-2*(k - 6)**2*(k + 1)/7
What is j in 25*j - j**2 - 13*j - 2*j**2 - 12 = 0?
2
Let c(j) = -4*j**3 + 2*j**2 + 2*j - 2. Let d(h) = 9*h**3 - 4*h**2 - 3*h + 5. Let y(p) = 10*c(p) + 4*d(p). Factor y(b).
-4*b*(b - 2)*(b + 1)
Let q be (-3)/(-6) + 4/(-8). Let y(s) be the second derivative of -1/12*s**4 - 1/40*s**5 + q + 0*s**2 - 2*s - 1/12*s**3. Factor y(i).
-i*(i + 1)**2/2
Let w = 71149/84 + -847. Let l(q) be the third derivative of 2*q**2 - w*q**4 + 0 + 0*q + 1/21*q**3 + 1/420*q**6 - 1/210*q**5. Find d, given that l(d) = 0.
-1, 1
Let y be 2/8 - 15/(-4). Factor -q - 3*q**3 - 2 - q**4 - 3*q**2 + 2 + 0*q**y.
-q*(q + 1)**3
Let s(p) = 24*p**2 + 50*p + 54. Let t(v) = -5*v**2 - 10*v - 11. Let c(d) = 6*s(d) + 28*t(d). Factor c(l).
4*(l + 1)*(l + 4)
Let b(m) be the second derivative of m**7/840 + m**6/120 + m**5/40 + m**4/24 - m**3/6 + 2*m. Let y(x) be the second derivative of b(x). Factor y(a).
(a + 1)**3
Let s(f) be the first derivative of 15*f**5 - 15*f**4/4 - 16*f**3 - 6*f**2 + 39. Let s(b) = 0. Calculate b.
-2/5, 0, 1
Suppose 2*x = -0*x + 12. Suppose 2*c - 4*c = -x. Factor -c - 2*u**2 - 2*u + 3.
-2*u*(u + 1)
Let y be 2/1 - (-12)/4. Let l(a) = -6*a**4 + 3*a**2 + 3. Let m(h) = -11*h**4 - h**3 + 6*h**2 + h + 5. Let o(r) = y*l(r) - 3*m(r). Factor o(j).
3*j*(j - 1)*(j + 1)**2
Let t(g) = -2*g**2 - 12*g + 14. Let z(p) = -p**2 - 1. Let r(y) = -t(y) + 4*z(y). Factor r(v).
-2*(v - 3)**2
Let x(l) be the first derivative of 2*l**3/21 - 2*l**2/7 + 2*l/7 - 10. Factor x(r).
2*(r - 1)**2/7
Factor 0*k - 1/5*k**3 - 3/5*k**2 + 0.
-k**2*(k + 3)/5
Let p(i) be the third derivative of i**6/60 - i**5/10 + i**4/4 - i**3/3 - 3*i**2. Factor p(f).
2*(f - 1)**3
Let t be (-166)/(-32) + (-30)/6. Let y(n) be the first derivative of -7/8*n**2 - 1 + 1/2*n + 1/6*n**3 + t*n**4. Factor y(l).
(l - 1)*(l + 2)*(3*l - 1)/4
Suppose 6*j + 4*j - 40 = 0. Factor 1/2*y**3 + 0 + y**j + 0*y**2 + 0*y + 1/2*y**5.
y**3*(y + 1)**2/2
Let m be (0*6/(-24))/(-2). Let 0*s - 1/3*s**3 + m + 1/3*s**2 = 0. Calculate s.
0, 1
Suppose 5*n - 52 = 58. Let g be 8/70*55/n. Factor -8/7 - g*o**2 + 8/7*o.
-2*(o - 2)**2/7
Let b be (0 - (-2 - -1)) + (-10)/15. Factor -b - r**2 + r + 1/3*r**3.
(r - 1)**3/3
Let q(n) = -n**3 - 1. Let v(m) = 16*m**4 - 81*m**3 + 132*m**2 - 80*m + 15. Let s(j) = -q(j) + v(j). Factor s(i).
4*(i - 2)**2*(2*i - 1)**2
Let k be 1 + -1 + (-6)/(-21). Determine z so that 2/7*z - k*z**2 + 2/7*z**4 - 2/7*z**3 + 0 = 0.
-1, 0, 1
Let n(h) be the first derivative of h**3/12 - 5*h**2/8 - 27. Factor n(d).
d*(d - 5)/4
Solve 2/7*m**5 + 6/7*m**4 + 0*m**3 + 0 - 8/7*m**2 + 0*m = 0.
-2, 0, 1
Let y(w) = -110*w**2 + 485*w - 330. Let f(u) = 5*u**2 - 22*u + 15. Let t(n) = 45*f(n) + 2*y(n). Suppose t(d) = 0. What is d?
1, 3
Factor -4/7*m - 8/7 + 4/7*m**2.
4*(m - 2)*(m + 1)/7
Factor 2*f**2 - 4*f**2 + 8*f + 7*f**2 - 3*f.
5*f*(f + 1)
Suppose 9 = r - 3*i, -5*r = -i - 3*i - 34. Let a = r - 4. Solve d**a + 4*d - 6*d + 3*d = 0.
-1, 0
Let w(i) be the third derivative of i**9/4536 + i**8/1260 + i**7/1260 - i**3/6 - 3*i**2. Let x(t) be the first derivative of w(t). Factor x(s).
2*s**3*(s + 1)**2/3
Let d(r) be the second derivative of 3*r**6/10 + 3*r**5/2 + 3*r**4/4 - 6*r**3 - 6*r**2 + 31*r. What is c in d(c) = 0?
-2, -1/3, 1
Let i(a) be the second derivative of -a**7/28 + a**6/5 - 3*a**5/10 + 28*a. Factor i(s).
-3*s**3*(s - 2)**2/2
Let t(y) be the second derivative of -2*y + 0*y**2 + 0*y**3 - 1/33*y**4 + 0 - 1/110*y**5. Factor t(a).
-2*a**2*(a + 2)/11
Let o = -24/41 - -728/123. Factor 8/3*h + o + 1/3*h**2.
(h + 4)**2/3
Let x(v) = 2*v**3 - 11*v**2 + 9*v + 13. Suppose 2 + 4 = -m. Let t(n) = n**3 - 5*n**2 + 4*n + 6. Let z(r) = m*x(r) + 13*t(r). Let z(d) = 0. Calculate d.
-2, 0, 1
Let z(t) be the first derivative of -3*t**4/4 - t**3 - 11. Suppose z(p) = 0. What is p?
-1, 0
Let a(i) be the first derivative of -i**5/240 + i**4/48 + i**2 + 4. Let l(q) be the second derivative of a(q). Determine g, given that l(g) = 0.
0, 2
Let y be -2 + (24/(-10))/(-1). Let z = 5 - 3. Factor 6/5*q**3 + 6/5*q**z + 0 + 2/5*q + y*q**4.
2*q*(q + 1)**3/5
Let a be (2/(-6) + 14/14)*3. Let o(f) be the second derivative of 0*f**3 + 1/30*f**4 + 0 - 1/5*f**a - 4*f. Suppose o(t) = 0. Calculate t.
-1, 1
Let i(j) be the first derivative of -j**5/25 + j**3/15 - 6. Factor i(m).
-m**2*(m - 1)*(m + 1)/5
Suppose -4*c - 3*l = c - 8, -5*c = l - 16. Suppose 9 - 25 = -4*y. Factor -c + 2*d**2 - y*d**2 + 7*d - 13*d.
-2*(d + 1)*(d + 2)
Let -27 + 3*c**2 - 146*c + 146*c = 0. Calculate c.
-3, 3
Let w(n) = -2*n**5 - 4*n**4 - 2*n**2 + 2. Let x(m) = -9*m**5 - 20*m**4 - 11*m**2 + 11. Let o(j) = 11*w(j) - 2*x(j). Determine c, given that o(c) = 0.
-1, 0
Let a(f) be the first derivative of -3*f**5/20 + 7*f**4/4 - 15*f**3/2 + 27*f**2/2 - f - 6. Let h(s) be the first derivative of a(s). Let h(y) = 0. What is y?
1, 3
Let c(d) = d**2 - 4*d + 3. Let w be c(1). What is f in -2/9*f**3 + 0 - 8/9*f**4 + w*f**2 + 0*f = 0?
-1/4, 0
Let 15/4*h**3 - 1/2 - h**2 - 9/4*h = 0. What is h?
-2/5, -1/3, 1
Suppose -3/4 - h - 1/4*h**2 = 0. Calculate h.
-3, -1
Let d(q) be the third derivative of -q**7/20 - 19*q**6/80 - 3*q**5/8 - q**4/16 + q**3/2 + 7*q**2. Suppose d(b) = 0. What is b?
-1, 2/7
Determine x, given that x - 9*x**2 + 9 + 12*x**2 - 13*x = 0.
1, 3
Let a(d) be the second derivative of -d**9/10584 + d**8/5880 - d**3/6 + 3*d. Let k(i) be the second derivative of a(i). Factor k(o).
-2*o**4*(o - 1)/7
Let y(n) be the second derivative of n**4/12 + 12*n. Let x(w) = w**3 - w**2 - w - 2. Let q be (-26)/(-10) - (-6)/15. Let m(k) = q*y(k) + x(k). Factor m(l).
(l - 1)*(l + 1)*(l + 2)
Let d = -15 - -30. Factor -d + 15 