**3/4 + 3*z**2/8 - 21*z/4 + 9. Solve s(j) = 0 for j.
-1, 1, 7
Factor -11*c**3 - 4*c**5 - 9*c**3 + 0*c**2 - 8*c**2 - 16*c**4.
-4*c**2*(c + 1)**2*(c + 2)
Let c = -38 + 42. Let f(t) be the second derivative of 1/45*t**6 - t + 1/3*t**2 + 1/3*t**c - 4/9*t**3 + 0 - 2/15*t**5. Determine z so that f(z) = 0.
1
Let m(a) = -a - 1. Let o(d) = -d**2 + 2*d + 1. Let w(t) = -m(t) - o(t). Factor w(f).
f*(f - 1)
Let c = 6 + -5. Let a(b) be the first derivative of 0*b + 2/3*b**3 - b**2 + c. Factor a(v).
2*v*(v - 1)
Let b(a) = 3*a - 10. Let p be b(4). Factor 0*v + p*v - 46*v**2 + 5*v**3 + 39*v**2.
v*(v - 1)*(5*v - 2)
Factor 2/7 + 0*t - 2/7*t**2.
-2*(t - 1)*(t + 1)/7
Let q(y) be the third derivative of y**8/2352 + y**7/1470 - y**6/420 - y**5/210 + y**4/168 + y**3/42 - 18*y**2. Factor q(t).
(t - 1)**2*(t + 1)**3/7
Factor 4*r**2 + 4 - 3 - 3 + 12*r + 10.
4*(r + 1)*(r + 2)
Let w be (-1)/(-4 + -17 + 1). Let x(h) be the third derivative of 0 - w*h**5 + 3*h**2 - 1/6*h**3 + 1/120*h**6 + 0*h + 1/8*h**4. Solve x(i) = 0.
1
Let w(y) be the third derivative of 2*y**2 + 1/1260*y**6 + 0*y**4 + 1/6*y**3 + 0*y**5 + 0*y + 0. Let v(q) be the first derivative of w(q). Factor v(p).
2*p**2/7
Suppose 2*o + 3 - 9 = 0. Suppose 0 = -2*w + o*b + 23, -3*w - 3*b + 2 - 5 = 0. Factor 2/9*l**w - 2/9*l**2 + 0 - 2/9*l**3 + 2/9*l.
2*l*(l - 1)**2*(l + 1)/9
Solve 1/2*t**2 + 15*t + 225/2 = 0.
-15
Let v be -3*(-5)/(-45) - 2/(-2). Factor 0 + 1/3*r**4 + 0*r**2 + v*r**3 + 0*r.
r**3*(r + 2)/3
Suppose 0 = 4*j - 17 - 3. Let q = j - 3. Factor 6*r + 2*r**3 - 6*r**2 + q - 6 + 2.
2*(r - 1)**3
Let y = 11 - 4. Let c be y/(-9) + (-1)/(-1). Find g, given that -2/9*g + c*g**2 + 0 + 2/9*g**3 - 2/9*g**4 = 0.
-1, 0, 1
Let m = -192 + 194. Let q(c) = 2*c**2 + 4*c + 3. Let y be q(-2). What is x in 0*x - 1/3*x**4 + 0 - 1/3*x**m + 2/3*x**y = 0?
0, 1
Suppose -2/9*d**2 + 4/9 - 2/9*d = 0. Calculate d.
-2, 1
Let m(l) be the first derivative of -l**7/1260 - l**6/270 - l**5/180 - l**3 - 2. Let p(r) be the third derivative of m(r). Factor p(a).
-2*a*(a + 1)**2/3
Let v(o) be the first derivative of o**7/420 + o**6/180 - o**5/60 - o**4/12 - 2*o**3 - 5. Let n(q) be the third derivative of v(q). Factor n(k).
2*(k - 1)*(k + 1)**2
Let a(s) = -2*s**2 + 4*s + 4. Let o(g) = -2*g**2 + 5*g + 5. Let m(j) = 5*a(j) - 4*o(j). Solve m(q) = 0 for q.
0
Suppose 5*l - 7 = 3. Let s(i) be the first derivative of 3/4*i**2 - l + 1/12*i**6 - i - 1/2*i**4 + 1/3*i**3 + 0*i**5. What is u in s(u) = 0?
-2, -1, 1
Suppose 5/2*d**2 - 1/2*d**3 + 0*d + 0 = 0. What is d?
0, 5
Let j(k) = k**2 - k + 6. Let s(f) = -f**2 + f - 5. Suppose 5*p - 10*p = -25. Let h(l) = p*j(l) + 6*s(l). Factor h(y).
-y*(y - 1)
Suppose -8*d + 12 = -4*d. Solve -45*y + 44*y**2 + 81*y**2 + 3 - 375*y**d + 100*y**2 = 0 for y.
1/5
Let u(k) be the second derivative of k**8/5040 - k**7/1260 + k**5/180 - k**4/72 - k**3/2 + k. Let i(n) be the second derivative of u(n). Factor i(m).
(m - 1)**3*(m + 1)/3
Suppose -2*w + 7*w + 2*p = 24, -3*w = 4*p - 20. Suppose 6 = 2*i - 4*o, -w*i + 15 = i + o. Factor 3*c**4 - 5*c**3 + 3*c**3 - 3*c**2 + 4*c**i - 2*c.
c*(c - 1)*(c + 1)*(3*c + 2)
Let i be 4/14 + (-1466)/(-14). Let n be 20/6*18/i. Suppose 4/7*o**3 + 2/7 + 2/7*o**4 - n*o**2 - 2/7*o - 2/7*o**5 = 0. What is o?
-1, 1
Solve 0*d - 2/19*d**5 + 0*d**2 - 2/19*d**3 + 4/19*d**4 + 0 = 0.
0, 1
Let m = -16 + 19. Factor -m*x + 6*x**2 - 2*x**3 + 2 - x - 2*x.
-2*(x - 1)**3
Suppose 0 = -38*f + 43*f. Factor -1/5*x + 1/5*x**4 + 3/5*x**2 - 3/5*x**3 + f.
x*(x - 1)**3/5
Let f(l) be the third derivative of -l**5/5 + 5*l**4/8 - l**3/2 + 17*l**2. Solve f(w) = 0.
1/4, 1
Determine w, given that 5 - 1700*w + 3 + 1728*w + 4*w**4 + 20*w**3 + 36*w**2 = 0.
-2, -1
Factor -4 + 14 + 2*z**2 - 12.
2*(z - 1)*(z + 1)
Let p = 7/16 - -43/48. Let a(o) be the first derivative of -1 - 1/2*o**4 - o**2 - p*o**3 + 0*o. Find n, given that a(n) = 0.
-1, 0
Let c be (-8)/(-32) + (-19)/(-4). Let v = 5 - c. Suppose 2/9*x**3 - 2/9*x**4 + v + 2/9*x**2 - 2/9*x = 0. Calculate x.
-1, 0, 1
Let z(f) be the first derivative of -f**4/5 + 2*f**3/5 - f**2/5 - 1. Factor z(u).
-2*u*(u - 1)*(2*u - 1)/5
Let x = 9 + -7. Suppose -5*k + x*k = 0. Let k + 2/5*n**2 + 0*n = 0. What is n?
0
Let p(r) be the third derivative of r**5/45 + 11*r**4/72 - r**3/6 + 5*r**2. Suppose p(j) = 0. What is j?
-3, 1/4
Let j = -2 - -6. Suppose -4 = -j*r + 4. Factor -2/3 - 2/3*z**3 - 2*z - r*z**2.
-2*(z + 1)**3/3
Factor 7*z**2 - 6*z**2 + 0*z**3 + z**3.
z**2*(z + 1)
Let l = 17/69 - -25/23. Suppose 1/3*h**4 - 4/3*h**3 - 4/3 + l*h + h**2 = 0. What is h?
-1, 1, 2
Let a(y) = 15*y**5 - 30*y**3 + 12*y**2 + 3*y. Let l(f) = -6*f**5 + 12*f**3 - 5*f**2 - f. Let v(t) = 5*a(t) + 12*l(t). Determine z, given that v(z) = 0.
-1, 0, 1
Let c(b) be the third derivative of b**7/105 + b**6/60 - b**5/30 - b**4/12 + b**2. Determine t so that c(t) = 0.
-1, 0, 1
Suppose 3*o = -15, 1 = 3*g + o - 3. Let d(j) be the second derivative of -3*j + 2/3*j**g - 1/6*j**4 - j**2 + 0. Determine f, given that d(f) = 0.
1
Let d(v) be the third derivative of 0*v + 2*v**2 - 1/40*v**5 + 1/240*v**6 + 0 + 0*v**3 + 1/140*v**7 - 1/336*v**8 + 1/48*v**4. Suppose d(t) = 0. What is t?
-1, 0, 1/2, 1
Let y = -1482/5 + 155611/525. Let w(t) be the third derivative of -1/15*t**3 + 0*t**5 - t**2 + y*t**7 - 1/150*t**6 + 0*t + 0 + 1/30*t**4. Solve w(o) = 0.
-1, 1
Suppose 0 = 5*k - k - 8. Suppose 46/7*r**3 - 6/7*r - 2/7 + 18/7*r**k + 24/7*r**4 = 0. Calculate r.
-1, -1/4, 1/3
Let o(v) be the first derivative of 4*v**5 - 105*v**4/4 + 55*v**3 - 95*v**2/2 + 15*v + 18. Suppose o(z) = 0. Calculate z.
1/4, 1, 3
Let a(i) be the third derivative of -i**8/33600 - i**7/6300 + i**4/12 - 6*i**2. Let f(l) be the second derivative of a(l). Factor f(q).
-q**2*(q + 2)/5
Let k(v) be the third derivative of -v**8/168 - v**7/42 - v**6/40 + v**5/60 + v**4/24 + 12*v**2. Find u, given that k(u) = 0.
-1, 0, 1/2
Let p = -15/7 - -37/14. Let t be (-44)/(-48) - 2/3. Let p*u**4 + 0 - 1/2*u**2 - t*u**3 + 1/4*u = 0. Calculate u.
-1, 0, 1/2, 1
Suppose 0 = i + 4*i - 10. Let 2*s**4 - 2*s**2 - i*s**2 + 2*s**2 = 0. What is s?
-1, 0, 1
Determine a, given that 2/9*a**2 + 2/3*a**3 + 0 - 4/9*a = 0.
-1, 0, 2/3
Suppose -3*p + 3 = -m, m - 2*p = -4*p + 2. Let k(y) be the first derivative of 0*y + m*y**2 - 1 - 1/10*y**5 - 1/4*y**4 - 1/6*y**3. Factor k(f).
-f**2*(f + 1)**2/2
Let w(r) be the third derivative of -1/12*r**4 + 0*r**3 + 0*r + 1/60*r**5 + 3*r**2 + 0. Factor w(k).
k*(k - 2)
Let r(w) be the second derivative of -w**4/30 + 4*w**3/15 - 4*w**2/5 - 11*w. Factor r(i).
-2*(i - 2)**2/5
Let g be (-2)/(-7) - (-4)/(-14). Suppose -o + g*o = -2. Suppose 4/3*y**o - 1/3*y**5 - 1/3*y + 2/3*y**3 - 2/3 - 2/3*y**4 = 0. What is y?
-2, -1, 1
Suppose -y = 2*y - 18. Let -y*x**2 + 5*x**4 - 10*x**5 + 5*x**4 - x**4 + 14*x**3 - 4*x - 3*x**4 = 0. Calculate x.
-1, -2/5, 0, 1
Suppose -2*z = b, 5*b + 42 = -0*z + 4*z. Let i(k) = k**4 + k**3 - k**2 - k. Let w(d) = -5*d**4 - 2*d**3 + 4*d**2 + 3*d. Let x(j) = b*i(j) - 2*w(j). Factor x(t).
2*t**2*(t - 1)*(2*t + 1)
Let g(x) be the second derivative of 0*x**3 + 1/2*x**2 + 2*x + 0 - 1/12*x**4. Factor g(r).
-(r - 1)*(r + 1)
Let -2*k**5 - 2*k**5 - 36*k**3 + 40*k**3 = 0. What is k?
-1, 0, 1
What is s in -2/5*s**2 + 4/5 + 2/5*s = 0?
-1, 2
Let o(j) be the third derivative of j**10/604800 + j**9/120960 + j**8/80640 + j**5/20 - j**2. Let p(y) be the third derivative of o(y). Factor p(l).
l**2*(l + 1)**2/4
Let a(z) be the first derivative of -2 + 0*z - 1/10*z**5 + 0*z**3 + 1/24*z**6 + 0*z**4 + 0*z**2. Determine r so that a(r) = 0.
0, 2
Let b(d) be the first derivative of -2/3*d + 2/9*d**3 - 1/12*d**4 + 1/6*d**2 - 6. Factor b(x).
-(x - 2)*(x - 1)*(x + 1)/3
Let l = -2/19 + 25/57. Let u(z) be the first derivative of -z**2 + 1 + z + l*z**3. Factor u(w).
(w - 1)**2
Let 54/19*m + 8/19*m**2 - 14/19 = 0. Calculate m.
-7, 1/4
Let y(n) be the first derivative of -n**6/27 - 2*n**5/15 - n**4/6 - 2*n**3/27 - 3. Solve y(w) = 0.
-1, 0
Let u be 4 + -7 - (-54)/14. Factor 10/7*y**2 + u*y - 4/7.
2*(y + 1)*(5*y - 2)/7
Let m = 14 + -10. Suppose 3*d - m = d. Factor -d + 4 - 3 + j**2.
(j - 1)*(j + 1)
Let q be (-22)/(-33)*(-2)/(-14). Let s(f) be the first derivative of -1/7*f**2 - q*f**3 + 2 + 2/7*f + 1/14*f**4. Factor s(r).
2*(r - 1)**2*(r + 1)/7
Let q be ((-5)/(-15))/(2/9). Factor -r - 1/2 + q*r**2.
(r - 1)*(3*