ond derivative of -1/12*c**4 - 2*c - 1/3*c**3 - 1/2*c**2 + 0. Factor d(o).
-(o + 1)**2
Suppose 14 = 2*g - c, -c = -5*c - 16. Let w(i) be the third derivative of 1/240*i**g + 2*i**2 - 1/480*i**6 + 0*i**3 + 0*i + 0 + 0*i**4. Let w(b) = 0. What is b?
0, 1
Let b be (-2)/(2/(-1))*-9. Let l be (-4)/3*b/6. Determine m so that -2*m - m - m**l + 2*m = 0.
-1, 0
Let v(f) be the first derivative of -f**3/3 + f**2 - f - 26. Factor v(d).
-(d - 1)**2
Let m = -2/1349 + 2704/4047. Factor -4/3 + 2*p - m*p**2.
-2*(p - 2)*(p - 1)/3
Determine l so that 0 - 36/5*l - 4/5*l**2 = 0.
-9, 0
Let j = -56 - -170/3. Suppose -j*y**2 - 8/3 - 8/3*y = 0. What is y?
-2
Factor 4/3 - 10/9*i + 2/9*i**2.
2*(i - 3)*(i - 2)/9
Let i = -33 + 37. Suppose -4*u = -4*j + i, -5*j = -0*u + 5*u - 15. Factor -j*p - 1/4*p**3 - 1 - 5/4*p**2.
-(p + 1)*(p + 2)**2/4
Factor -6*d**3 + 4*d**3 - 74*d + 76*d.
-2*d*(d - 1)*(d + 1)
Let f(l) = -5*l**5 - 4*l**3 + 9*l**2. Let p(d) = d**5 + d**3 - 2*d**2. Let u(y) = 2*f(y) + 9*p(y). Let u(m) = 0. What is m?
-1, 0, 1
Let m(q) be the second derivative of q**4 + 4*q**3 - 5*q + 0 + 1/10*q**5 + 8*q**2. What is z in m(z) = 0?
-2
Let j(y) be the second derivative of y**6/90 + y**5/24 - y**4/12 - 5*y**3/9 - 2*y**2/3 - 26*y. Let j(f) = 0. Calculate f.
-2, -1/2, 2
Suppose 3*b - 4 - 5 = 0. Suppose 8 = b*s - 1. Factor -s*q**4 - 3*q**4 + 9*q**4 + 3*q**3.
3*q**3*(q + 1)
Let w = 1 - -2. Factor -2*m**3 + m**w + 2*m**3 - m**4 + 2*m**2 + 0*m**2.
-m**2*(m - 2)*(m + 1)
Let o(d) = -2*d - 7. Let j be o(0). Let f be 1/(j/(-2))*1. Factor 0 - f*a - 6/7*a**3 + 6/7*a**2 + 2/7*a**4.
2*a*(a - 1)**3/7
Let w(b) be the second derivative of 5/6*b**3 + b**2 - 1/30*b**6 + 1/4*b**4 - 1/20*b**5 + b + 0. Factor w(d).
-(d - 2)*(d + 1)**3
Factor -35 - 55/4*p**2 + 5/4*p**3 + 40*p.
5*(p - 7)*(p - 2)**2/4
Let p(c) be the third derivative of c**8/112 + 3*c**7/70 + 3*c**6/40 + c**5/20 - 3*c**2. Find y, given that p(y) = 0.
-1, 0
Let p(b) be the first derivative of -b**4/24 + 4*b**3/9 - 5*b**2/12 - 7*b/3 - 17. Factor p(g).
-(g - 7)*(g - 2)*(g + 1)/6
Let q = -103 - -51. Let m(a) = 18*a**3 - 10*a**2 + 44*a. Let d(y) = 2*y**3 - y**2 + 5*y. Let w(c) = q*d(c) + 6*m(c). What is t in w(t) = 0?
0, 1
Let l(j) be the first derivative of -j**5/240 + j**4/32 - j**3/12 - j**2/2 + 3. Let c(d) be the second derivative of l(d). Determine h, given that c(h) = 0.
1, 2
Let f(x) = -3*x**3 - x - 1. Let j be f(-1). Let d(z) be the first derivative of 0*z**2 - 3/20*z**4 + 0*z - 2 + 2/15*z**j. Determine m, given that d(m) = 0.
0, 2/3
Let z(m) be the first derivative of -2*m + 0*m**3 + 0*m**2 + 1/10*m**5 + 0*m**4 + 2. Let u(y) be the first derivative of z(y). Let u(f) = 0. Calculate f.
0
Let o(b) be the second derivative of 2*b**7/21 + 26*b**6/15 + 66*b**5/5 + 54*b**4 + 126*b**3 + 162*b**2 + 28*b. Factor o(k).
4*(k + 1)*(k + 3)**4
Let n = 1 + 3. Determine u, given that 16 + 52*u + 14*u**3 + 13*u**2 - 12*u + 23*u**2 + 8*u**n - 6*u**4 = 0.
-2, -1
Let w(y) be the second derivative of -y - 2/15*y**3 + 1/60*y**4 + 0 + 3/10*y**2. Factor w(g).
(g - 3)*(g - 1)/5
Let j(h) be the first derivative of -3*h**2 - h**3 + 0*h + 7 - 3*h + 2. Factor j(g).
-3*(g + 1)**2
Let h(w) be the first derivative of -3*w**3/7 + w**2/7 - 15. Suppose h(m) = 0. What is m?
0, 2/9
Factor 0 - 1/3*n**2 - 2/3*n.
-n*(n + 2)/3
Suppose 19 = 5*h - q, -2*q - 46 = -38. Determine o so that 0*o**2 - 2/5*o**h - 1/5 + 2/5*o + 1/5*o**4 = 0.
-1, 1
Let w = -3 + 2. Let m = w + 1. Suppose m - 1/2*y + 0*y**2 + 1/2*y**3 = 0. Calculate y.
-1, 0, 1
Let a(j) be the third derivative of j**8/224 - j**6/40 + j**4/16 + 3*j**2. Factor a(n).
3*n*(n - 1)**2*(n + 1)**2/2
Let t(y) = -12*y**2 - 14*y. Let b(c) = c**3 + 47*c**2 + 55*c. Let r(i) = 4*b(i) + 18*t(i). Factor r(g).
4*g*(g - 8)*(g + 1)
Let b(a) = a**2 + 6*a. Let x(w) = 4*w**2 - w**2 + 3*w + 2*w - 2*w**2. Let m(c) = 6*b(c) - 7*x(c). Factor m(k).
-k*(k - 1)
Factor -4*f**2 + f**2 + 6*f**3 - f**2.
2*f**2*(3*f - 2)
Let m(a) = -5*a**3 + 19*a**2 - 67*a + 47. Let h(t) = 16*t**3 - 56*t**2 + 200*t - 140. Let o(y) = -3*h(y) - 10*m(y). Factor o(i).
2*(i - 5)**2*(i - 1)
Let z(d) = d - 4. Let m be z(6). Suppose -g**2 - 2*g**4 + 6*g**3 + 0*g + m*g - 5*g**2 = 0. Calculate g.
0, 1
Let l = 10 + -9. Let d be (1 - l)/((-14)/7). Solve d*r + 2/9*r**2 - 4/9*r**3 + 0 + 2/9*r**4 = 0 for r.
0, 1
Let f(t) be the second derivative of -t**7/252 - t**6/180 + t**5/120 + t**4/72 + 8*t. Factor f(u).
-u**2*(u - 1)*(u + 1)**2/6
Factor 0*x + 0 + 1/6*x**2.
x**2/6
Let g(m) be the second derivative of -1/10*m**5 + 3*m - 1/30*m**6 + 1/3*m**3 + 0 + 1/2*m**2 + 0*m**4. Factor g(w).
-(w - 1)*(w + 1)**3
Let m(c) be the third derivative of c**6/900 + c**5/300 + 5*c**3/6 - c**2. Let p(r) be the first derivative of m(r). Suppose p(a) = 0. What is a?
-1, 0
Let h(n) = -n**2 - 1. Let c(v) = -v**3 - 6 - 9*v + 9*v - v - 4*v**2. Let a(t) = -c(t) + 6*h(t). Factor a(o).
o*(o - 1)**2
Suppose -4*c - 6*a - 634 = -a, -c - 3*a = 155. Let g = -1125/7 - c. Factor g*l**3 - 6/7*l**2 + 6/7*l - 2/7.
2*(l - 1)**3/7
Suppose 0 = 5*f - 9*f. Let z(y) be the first derivative of 1/2*y**4 - y**2 - 2 - 2/3*y**3 + 2/5*y**5 + f*y. Determine t, given that z(t) = 0.
-1, 0, 1
Let h(j) be the first derivative of 2*j**6/3 - 4*j**5 + 8*j**4 - 16*j**3/3 - 57. Factor h(v).
4*v**2*(v - 2)**2*(v - 1)
Let n(w) be the first derivative of -w**4/30 + w**2/5 + 4*w/15 + 13. Factor n(g).
-2*(g - 2)*(g + 1)**2/15
Let g = -191 + 50. Let s = -985/7 - g. Suppose 6/7*f**2 + 6/7*f + s*f**3 + 2/7 = 0. Calculate f.
-1
Let z(w) be the first derivative of -w**6/480 - 3*w**5/160 - w**4/16 - 4*w**3/3 + 7. Let y(i) be the third derivative of z(i). Factor y(c).
-3*(c + 1)*(c + 2)/4
Let m(v) be the second derivative of -9*v**5/140 + v**4/28 + 3*v**3/14 - 3*v**2/14 - 3*v. Factor m(x).
-3*(x - 1)*(x + 1)*(3*x - 1)/7
Let v(y) = -8*y**3 - 10*y**2 - 10. Let s(g) = g**2 + 7*g - 1. Let p be s(-7). Let w(h) = -h**3 - h**2 - 1. Let t(r) = p*v(r) + 10*w(r). Factor t(a).
-2*a**3
Let z = -7 - -1. Let s be 4/(-18)*z/4. Determine r, given that -1/3*r + s - 1/3*r**2 + 1/3*r**3 = 0.
-1, 1
Suppose 2*u + 28 = 9*u. Find c such that 2*c**u - 3*c**3 - 1/2*c**5 + 0 + 2*c**2 - 1/2*c = 0.
0, 1
Let k(a) be the third derivative of -a**5/12 - 5*a**4/24 + 15*a**2. Factor k(r).
-5*r*(r + 1)
Let o(u) = u**3 - 4*u**2 + u - 2. Let g be o(4). Let d be (-1)/(-1) - g/4. Find x such that -1/2*x**2 - d + x = 0.
1
Let q(x) be the third derivative of x**8/112 - x**7/70 - x**6/40 + x**5/20 - 2*x**2. What is v in q(v) = 0?
-1, 0, 1
Let c be (3 - 18/5) + 1. Factor 0*k + 2/5*k**2 - c.
2*(k - 1)*(k + 1)/5
Let l(v) be the first derivative of 0*v + 4/35*v**5 - 1/21*v**6 - 1 - 1/14*v**4 + 0*v**3 + 0*v**2. Factor l(f).
-2*f**3*(f - 1)**2/7
Suppose t**3 + 6*t**3 - t**3 - 15*t**2 - t**3 + 20 = 0. What is t?
-1, 2
Solve 2*y**4 - 6*y**2 - 8*y**3 + 16*y**4 + 5*y**3 = 0.
-1/2, 0, 2/3
Let t(l) be the third derivative of 0*l**3 + 1/105*l**7 - 1/60*l**6 + 1/90*l**5 - 1/504*l**8 + 0*l + 0 + 0*l**4 + l**2. Factor t(c).
-2*c**2*(c - 1)**3/3
Suppose 3*g + 0*g = 0. Let z = g - -4. Factor -2*i**z + i**2 - 1/2*i**5 - 2*i**3 + 5/2*i + 1.
-(i - 1)*(i + 1)**3*(i + 2)/2
Let a = 889 - 6221/7. Factor a*n**5 + 2/7*n + 0*n**4 - 4/7*n**3 + 0 + 0*n**2.
2*n*(n - 1)**2*(n + 1)**2/7
Let a(w) = -w**4 - 3*w**3 - 3*w**2 + 3*w - 2. Let d(i) = 6*i**4 + 15*i**3 + 16*i**2 - 15*i + 11. Let p(v) = -33*a(v) - 6*d(v). Factor p(m).
-3*m*(m - 3)*(m - 1)*(m + 1)
Let j(y) be the first derivative of 3*y**4/20 - 3*y**3/5 + 12*y/5 - 16. What is i in j(i) = 0?
-1, 2
Let a be -4*(-13)/(65/30). Suppose 0 = 3*u + 18 - a. Factor l + 2/3 + 1/3*l**u.
(l + 1)*(l + 2)/3
Factor -1/4*q**2 + 0 - 1/4*q**4 + 0*q + 1/2*q**3.
-q**2*(q - 1)**2/4
Let i(w) be the second derivative of -w**8/168 - w**7/105 + w**6/60 + w**5/30 + w**2 - 2*w. Let t(c) be the first derivative of i(c). Let t(k) = 0. What is k?
-1, 0, 1
Factor 9*f**3 + 5*f**4 - 6 + 19*f - 21*f**2 + 3*f**3 - 3*f**3 - 6*f**4.
-(f - 6)*(f - 1)**3
Let i(x) = 2*x**2 - 4*x + 1. Let h be i(3). Suppose 0*l + 3 = -3*s - 3*l, -4*s - 5*l = h. Factor 4*f - 2 + 2 - 6*f + 2*f**s.
2*f*(f - 1)
Let z(u) = -u - 4. Let r be z(-9). Factor 27*h**2 + 7*h**4 - h**4 + 2*h**r + 6*h**3 - 25*h**2.
2*h**2*(h + 1)**3
Let t(h) be the second derivative of -5*h**4/12 + 5*h**2/2 + 10*h. Factor t(w).
-5*(w - 1)*(w + 1)
Let z(v