 = d*r(b) - 2*j(b). Factor q(a).
2*(a - 2)*(a - 1)*(a + 1)
Let s(b) be the first derivative of 3*b**5/10 - 9*b**4/8 - b**3/2 + 9*b**2/4 + 27. Factor s(m).
3*m*(m - 3)*(m - 1)*(m + 1)/2
Let q be 8 + ((-2)/1 - -2) + -5. Determine f so that -2/11*f**2 + 0*f + 0 - 2/11*f**q = 0.
-1, 0
Let p = 55 + -217/4. Factor -3/2 + p*d**2 + 3/4*d.
3*(d - 1)*(d + 2)/4
Let j(y) be the third derivative of 0*y + 1/24*y**4 + 1/9*y**3 + 1/126*y**7 - 7/180*y**5 - 3*y**2 + 0 - 1/120*y**6. Factor j(x).
(x - 1)**2*(x + 1)*(5*x + 2)/3
Let v(r) be the third derivative of -r**2 + 0*r**4 + 0*r + 0 + 1/240*r**5 - 1/24*r**3. Let v(c) = 0. What is c?
-1, 1
Let s(b) = 7*b**2 - 2*b - 9. Let i(z) = -3*z**2 + z + 4. Let q = 2 + 11. Let l(p) = q*i(p) + 6*s(p). Find x, given that l(x) = 0.
-1, 2/3
Let l(p) = -p**2 + 19*p - 12. Let d(x) = 4*x**2 - 56*x + 36. Let r(k) = -3*d(k) - 8*l(k). Solve r(c) = 0.
1, 3
Let x(i) be the second derivative of i**7/6300 + i**6/1800 + i**4/6 + 3*i. Let v(j) be the third derivative of x(j). Factor v(y).
2*y*(y + 1)/5
Let d(g) be the third derivative of g**7/42 + g**6/12 + g**5/12 - 2*g**2. Suppose d(h) = 0. What is h?
-1, 0
Let q be 0/((8/10)/((-2)/(-5))). Let d(u) be the second derivative of -1/30*u**6 + 0 + 1/10*u**5 + 0*u**2 + 3*u + q*u**3 - 1/12*u**4. Factor d(w).
-w**2*(w - 1)**2
Let 10*u**2 - 20*u**4 + 4*u**3 - 4*u + 10*u**4 - 6*u**5 + 6*u**3 = 0. What is u?
-2, -1, 0, 1/3, 1
Let f(v) be the third derivative of -v**8/6720 - v**7/1260 - v**6/720 - v**4/8 - 5*v**2. Let x(z) be the second derivative of f(z). Let x(a) = 0. Calculate a.
-1, 0
Let u(b) be the third derivative of -b**6/80 - 3*b**5/40 - b**4/8 - 7*b**2. Let u(l) = 0. Calculate l.
-2, -1, 0
Factor -5/7*h - 2/7 + 2/7*h**2 + 5/7*h**3.
(h - 1)*(h + 1)*(5*h + 2)/7
Suppose 0*h = 5*h - 40. Let s(b) = b - 4. Let m be s(h). Factor m*l**2 + 3*l**2 + 2*l**4 - 6*l**3 - 3*l**2.
2*l**2*(l - 2)*(l - 1)
Suppose -5 = 2*y + 47. Let k = 29 + y. Factor -2/5*h**k + 2/5*h**5 + 0*h**4 + 0 + 0*h**2 + 0*h.
2*h**3*(h - 1)*(h + 1)/5
Let n = 8942638/387 - 207874/9. Let u = n - 78/43. Determine g, given that 0 - 4/3*g - 14*g**3 - u*g**2 = 0.
-1/3, -2/7, 0
Determine k, given that 36/5*k**2 + 44/5*k + 8/5 = 0.
-1, -2/9
Factor -2/7*d + 1/7*d**2 + 1/7.
(d - 1)**2/7
Suppose 3*g = 6 + 3. Let h be 6/2*8/8. Factor l**g - 3*l**2 + l**2 - h*l**3.
-2*l**2*(l + 1)
Suppose 3*f = w + 4, 4*w = 2*f + w - 12. Factor -2/5*n**2 + f*n**3 + 0 + 2/5*n**4 + 0*n.
2*n**2*(n - 1)*(n + 1)/5
Let g(n) be the first derivative of -4*n**3/3 - 4*n**2 - 10. Factor g(y).
-4*y*(y + 2)
Let z(b) = b**3 + 3*b**2 - b - 3. Let g be z(-3). Let j be (-1)/(-2)*g/4. Factor 1/3*s - 1/3*s**3 + 1/3*s**2 - 1/3*s**4 + j.
-s*(s - 1)*(s + 1)**2/3
Let w(k) be the first derivative of 10*k**3/17 - 13*k**2/17 - 4*k/17 - 15. Factor w(u).
2*(u - 1)*(15*u + 2)/17
Let t(i) be the second derivative of i**5/60 - 7*i**4/36 + 11*i**3/18 - 5*i**2/6 + 42*i. Factor t(l).
(l - 5)*(l - 1)**2/3
Let w(a) = 7*a**4 + 5*a**3 - 2*a**2. Let x(c) = -2*c**3 - 2*c**2 + 2*c**4 + 3*c**2 - 5*c**4 + 0*c**4. Let y(l) = -2*w(l) - 5*x(l). Factor y(v).
v**2*(v - 1)*(v + 1)
Solve 7*i + 6*i + 5*i - 3*i**2 = 0 for i.
0, 6
Let f(u) be the first derivative of 0*u**5 - 1/3*u**2 + 4*u + 2 - 1/45*u**6 + 1/9*u**4 + 0*u**3. Let l(a) be the first derivative of f(a). Factor l(b).
-2*(b - 1)**2*(b + 1)**2/3
Let c be (4*(-2)/36)/((-2)/3). Factor 0 + 2/3*p - c*p**2.
-p*(p - 2)/3
Let k(d) be the first derivative of d**6/420 - d**5/70 + d**4/28 - d**3/21 + 3*d**2/2 - 1. Let n(y) be the second derivative of k(y). Factor n(w).
2*(w - 1)**3/7
Find t, given that 0*t**2 + 3*t**2 - 20*t + 17*t + 0*t**2 = 0.
0, 1
Let o(x) = -x - 4. Let h be 28/(-6)*9/6. Let y be o(h). Factor 1/4 + 1/4*t**4 - 1/2*t**y + 1/4*t**5 - 1/2*t**2 + 1/4*t.
(t - 1)**2*(t + 1)**3/4
Let h(y) be the second derivative of -y**7/14 - y**6/3 - 3*y**5/5 - y**4/2 - y**3/6 - 16*y. Factor h(s).
-s*(s + 1)**3*(3*s + 1)
Let s be (-1 + 0)*(3 - 6). Suppose 0*t + s*t = 9. Factor t*r**4 + 3*r**2 + 0*r**3 + 3*r**3 + r**5 - 2*r**2.
r**2*(r + 1)**3
Let n(u) be the first derivative of 5*u**6/6 - 7*u**5 + 95*u**4/4 - 125*u**3/3 + 40*u**2 - 20*u - 9. Factor n(s).
5*(s - 2)**2*(s - 1)**3
Let y(j) be the second derivative of 5*j**7/42 - j**6/6 - j**5/2 + 5*j**4/6 + 5*j**3/6 - 5*j**2/2 + 11*j. Solve y(q) = 0 for q.
-1, 1
Let l(v) be the second derivative of 2*v**6/45 - 7*v**5/15 + 5*v**4/3 - 2*v**3 + 28*v. What is n in l(n) = 0?
0, 1, 3
Let w(f) be the second derivative of 0*f**2 - 1/15*f**6 + 0 - 3/10*f**5 - 2*f - 1/2*f**4 - 1/3*f**3. Find o such that w(o) = 0.
-1, 0
Let x(h) be the second derivative of 13*h**5/70 + 17*h**4/84 - 11*h**3/42 - h**2/7 + 16*h. Let x(n) = 0. What is n?
-1, -2/13, 1/2
Let b(r) be the first derivative of r**4/6 - r**3/3 - 3*r + 1. Let z(g) be the first derivative of b(g). Factor z(c).
2*c*(c - 1)
Let z(a) = -a**3 - 17*a**2 - 13*a + 9. Let n be z(-16). Let c be (-12)/8 + n/(-18). Find o such that -c*o**2 + 4*o - 6 = 0.
3
Suppose 5*o + 32 = o. Let w = o - -16. Let 32*r**3 - 30*r**5 + 36*r**2 + 8*r**4 + w*r - 40*r**4 - 4 - 10*r = 0. What is r?
-1, -2/5, 1/3, 1
Let t(j) be the second derivative of -j**10/10080 - j**9/1680 - 3*j**8/2240 - j**7/840 + j**4/3 - 2*j. Let r(p) be the third derivative of t(p). Factor r(c).
-3*c**2*(c + 1)**3
Let u be (-184)/(-6)*(-5)/200*-1. Let k(z) be the second derivative of 0 - 4/3*z**3 - 7/50*z**5 - u*z**4 - 2*z - 4/5*z**2. Suppose k(r) = 0. Calculate r.
-2, -1, -2/7
Let p be (2 - (3 + 2))*4/(-30). Let o(h) = h**2 - 2*h. Let k be o(3). What is g in p - 2/5*g**k - 2/5*g**2 + 2/5*g = 0?
-1, 1
Suppose -16 = 4*r - 4*y + 12, -1 = -y. Let f be (42/196)/(r/(-7)). Suppose 0*j + 1/4*j**2 + 0 - f*j**4 + 0*j**3 = 0. What is j?
-1, 0, 1
Let k = -11 - -29. Suppose k*t = 14*t + 12. Factor 2/7 + 120/7*n**2 + 128/7*n**4 + 26/7*n + 32*n**t.
2*(n + 1)*(4*n + 1)**3/7
Let f = 3 + 0. Suppose 18 = 3*m + r - 4*r, 5*m - 34 = r. Factor -k**f - m + 7 + k.
-k*(k - 1)*(k + 1)
Let c(h) be the first derivative of -1/60*h**4 + 0*h**2 - 3*h - 1/30*h**3 - 3. Let d(p) be the first derivative of c(p). Find k, given that d(k) = 0.
-1, 0
Let a(g) = -4*g**2 - 10*g + 8. Let y(j) = 3*j**2 + 9*j - 7. Let t(b) = 5*a(b) + 6*y(b). Factor t(d).
-2*(d - 1)**2
Let m(a) be the second derivative of -a**7/280 + a**6/60 - a**5/40 + a**3/3 + 2*a. Let v(t) be the second derivative of m(t). Determine r, given that v(r) = 0.
0, 1
Let t(s) be the second derivative of s**10/75600 + s**9/18900 + s**8/16800 - 7*s**4/12 - 5*s. Let c(j) be the third derivative of t(j). Solve c(u) = 0 for u.
-1, 0
Let t(k) be the first derivative of -k**4/18 + k**2/9 + 5. Solve t(z) = 0.
-1, 0, 1
Let q(v) be the first derivative of -4*v**3/15 + 28*v**2/5 - 196*v/5 + 30. Suppose q(p) = 0. What is p?
7
Suppose -2*b + 14 = -0*b. Factor -11*o**4 + 3*o**2 - 22*o**3 - 7*o**2 - b*o**4.
-2*o**2*(o + 1)*(9*o + 2)
Let n = 7 + -7. Let d(f) be the third derivative of 1/72*f**4 + 0*f**3 + 1/630*f**7 + 0 - 1/180*f**5 - 1/360*f**6 + n*f - 3*f**2. Factor d(m).
m*(m - 1)**2*(m + 1)/3
Suppose 16*a = -16 + 64. Solve 1/4*k**5 + 0 + 0*k + 1/2*k**a + 3/4*k**4 + 0*k**2 = 0 for k.
-2, -1, 0
Let a(q) be the third derivative of 5/672*q**8 + 0*q + 3*q**2 + 1/240*q**6 + 0*q**4 - 2/105*q**7 + 0*q**3 + 0 + 1/60*q**5. Suppose a(v) = 0. What is v?
-2/5, 0, 1
Let z(c) = 2*c**2 + 26*c + 6. Let q(l) = 2*l**2 + 28*l + 7. Let u(a) = -6*q(a) + 7*z(a). Factor u(j).
2*j*(j + 7)
What is y in -5 - 4*y**2 + 8*y + 4*y**2 - 4*y**2 + 1 = 0?
1
Let o(w) = w**3 + 11*w**2 - 12*w + 2. Let h be o(-12). Let b be (-6)/(h + -4) - 1. Find z such that -4/3 - 22/3*z**3 - 6*z - 10*z**b - 2*z**4 = 0.
-1, -2/3
Solve k - 2*k**2 + 17*k**2 - 6*k = 0.
0, 1/3
Let w(m) be the first derivative of 3*m**4/4 + m**3 + 9. Factor w(g).
3*g**2*(g + 1)
Let s(m) = -m**3 + 4. Let f be s(0). Suppose -8 - 4 = -f*d. Find c, given that c + d + c**3 - 6*c**3 - 3*c**4 - c**2 - 3 = 0.
-1, 0, 1/3
Let z(o) be the second derivative of -o**6/40 - 3*o**5/32 - o**4/8 - o**3/16 + 26*o. Factor z(a).
-3*a*(a + 1)**2*(2*a + 1)/8
Let i(n) = n**3 + 10*n**2 - 3*n - 5. Let v be i(-10). Suppose -v*m**3 + 49*m**5 + 25*m**3 + 4*m**2 + 0*m - 102*m**3 - 49*m**4 + 8*m = 0. What is m?
-1, -2/7, 0, 2/7, 2
Suppose -1/3*g**2 + 0*g + 4/3 = 0. Calculate g.
-2, 2
Let d(u) = -2*u + 17. Let v be d(16). Let