of -h**5/4 - 5*h**4/6 - 5*h**3/6 - 13*h. Find y such that k(y) = 0.
-1, 0
Let y(f) = -2*f**4 + 10*f**3 - 26*f**2 + 20*f - 4. Let b(d) = 4*d**4 - 19*d**3 + 53*d**2 - 40*d + 7. Let p(k) = 4*b(k) + 10*y(k). Determine s so that p(s) = 0.
1, 3
Let u(z) be the first derivative of z**4/18 + 8*z**3/3 + 48*z**2 + 384*z + 7. Factor u(j).
2*(j + 12)**3/9
Let g(i) = -i - 3. Let f be g(-4). Let z(w) = f - 5 + 3. Let s(a) = -a**2 + 3*a - 5. Let n(l) = s(l) - 3*z(l). Factor n(c).
-(c - 2)*(c - 1)
Suppose -5*q - m = -11, 3*q + 1 = 4*m + 3. Let 4*v - 6 - 2/3*v**q = 0. What is v?
3
Factor -4/3*s - 4/3*s**3 + 8/3*s**2 + 0.
-4*s*(s - 1)**2/3
Factor 0*o + 0 + 0*o**3 + 0*o**2 - 1/3*o**4.
-o**4/3
Let j(z) = -z**3 - 5*z**2 - 6*z - 6. Let x be j(-4). Suppose 3*h = -x*t + t + 15, h = t + 1. Factor -t*f**4 + 4*f**4 + 6*f**2 + 2*f + f**4 + 6*f**3.
2*f*(f + 1)**3
Factor 1/2*w**4 + 0*w**3 + 0*w**2 + 0*w + 0.
w**4/2
Let a(x) = 7*x**4 + 12*x**3 - 7*x**2 - 10*x. Let n(c) = c**4 + c**3 - c**2. Let w(g) = a(g) - 2*n(g). Factor w(q).
5*q*(q - 1)*(q + 1)*(q + 2)
Let i be (1/(-65))/((-3)/123). Let f = i - 3/13. Determine d, given that 6/5*d**2 - 2/5*d**3 + f - 6/5*d = 0.
1
Let f(v) = -3*v - 30. Let n be f(-11). Factor 2/3*w**n + 0*w**2 - 2/3*w**4 + 0 + 0*w.
-2*w**3*(w - 1)/3
Let v be 4 - (-3 - 27/(-4)). Suppose -a + 2 = 2*w, -w + a - 3 = -7. Solve 1/4*n**3 + 0 - v*n**5 + 0*n**w + 0*n**4 + 0*n = 0.
-1, 0, 1
Let d(u) be the first derivative of 4*u**5/15 - 2*u**4/3 + 5*u**3/9 - u**2/6 - 5. Let d(n) = 0. Calculate n.
0, 1/2, 1
Let g(w) be the second derivative of w**9/5040 + w**8/2240 - w**7/840 - w**6/240 + w**4/2 + 6*w. Let d(m) be the third derivative of g(m). Factor d(q).
3*q*(q - 1)*(q + 1)**2
Let g(d) be the second derivative of d**7/360 + d**6/540 - d**3/3 + d. Let c(v) be the second derivative of g(v). Suppose c(o) = 0. What is o?
-2/7, 0
Let q(h) = -8*h**4 + 3*h**3 + 77*h**2 + 83*h + 32. Let m(t) = 4*t**4 - t**3 - 39*t**2 - 41*t - 16. Let i(o) = -5*m(o) - 3*q(o). Factor i(a).
4*(a - 4)*(a + 1)**3
Let k be 665/285 - 1/3. Let 2/3*u - 4/3*u**3 + 0 + 0*u**4 + 0*u**k + 2/3*u**5 = 0. What is u?
-1, 0, 1
Suppose 4*f - 13 = q - 4, -4*f + 24 = 4*q. Let a be (-5 - -4) + f*1. Factor 3*r - a*r - r**2 + 0*r**2.
-r*(r - 1)
Let t(i) = -8*i**4 + 12*i**3 + 4*i**2 - 4*i. Let a(x) = -31*x**4 - 5 + x**2 + x**3 + x + 4 + 30*x**4. Let r(l) = -4*a(l) + t(l). Factor r(b).
-4*(b - 1)**3*(b + 1)
Let z(m) = 2*m**3 + 2*m**2 + 2*m. Let q(l) be the first derivative of l**4 + l**3 + 2*l**2 - 2. Let n(a) = -2*q(a) + 5*z(a). Let n(b) = 0. Calculate b.
-1, 0
Suppose 0 = -3*p - 3*t - 9, -2*t - 4 = -p + 2. Suppose p = -3*l - 2*l + 55. Solve -3*d + l*d - 6*d + d**2 = 0 for d.
-2, 0
Let k = 141 - 139. Factor -2/3*d**k - 8/3 + 10/3*d.
-2*(d - 4)*(d - 1)/3
Suppose -2*d**2 - 3*d - 2*d**2 + d**2 = 0. What is d?
-1, 0
Suppose -y + 13 + 16 = 0. Let z = 29 - y. Factor z + 2/9*a**2 - 4/9*a + 2/9*a**3.
2*a*(a - 1)*(a + 2)/9
Let u be (-20)/(-15)*(-2)/8*-6. Factor -u - 1/2*b**2 + 2*b.
-(b - 2)**2/2
Let c(u) be the first derivative of u**6/27 + 4*u**5/45 - 4*u**3/27 - u**2/9 - 5. Determine p, given that c(p) = 0.
-1, 0, 1
Let p = 1/6 + 5/18. Solve 0*t - 2/9*t**2 - p*t**3 + 0 - 2/9*t**4 = 0.
-1, 0
Let f(p) be the first derivative of -p**8/168 - p**7/60 - p**6/90 - 5*p**3/3 + 3. Let x(z) be the third derivative of f(z). Factor x(a).
-2*a**2*(a + 1)*(5*a + 2)
Let y = -27 - -29. Let i(a) be the second derivative of 0*a**y + 0 - 1/24*a**4 - 3*a + 1/12*a**3. Factor i(w).
-w*(w - 1)/2
Let m(u) be the first derivative of u**6/18 + 8*u**5/15 + 3*u**4/2 - 9*u**2/2 - 4. Factor m(k).
k*(k - 1)*(k + 3)**3/3
Let q = -14/17 + 45/34. Let -1 + q*v + 1/2*v**2 = 0. Calculate v.
-2, 1
Let h(d) be the first derivative of -d**3 + 7*d**2/2 - 2*d + 4. What is a in h(a) = 0?
1/3, 2
Suppose -5*g - 15 = 3*b - 8*b, 3*b = g + 9. Suppose -19 + b = -4*k. Suppose 0*w**2 + 2/13 - 4/13*w + 4/13*w**3 - 2/13*w**k = 0. Calculate w.
-1, 1
Let q be ((-2)/(-3))/2*(-22)/(-33). Suppose 2/9*x + 0 - q*x**2 = 0. Calculate x.
0, 1
Let d(c) be the third derivative of c**8/12 - 64*c**7/105 + 29*c**6/15 - 52*c**5/15 + 23*c**4/6 - 8*c**3/3 - 30*c**2. Let d(s) = 0. Calculate s.
4/7, 1
Let l(p) = 4*p**5 + 4*p**3 - 2*p - 6. Let a(d) = 3*d**5 + 4*d**3 - 2*d - 5. Let g(s) = -6*a(s) + 5*l(s). Factor g(b).
2*b*(b - 1)**2*(b + 1)**2
Suppose -11 = -2*v - 1. What is k in k - 2*k**v + 2*k**2 - 2*k**5 - 2*k**4 + 3*k**5 = 0?
-1, 0, 1
Let q = 10 + -9/2. Let b = q - 73/14. Determine x, given that 2/7*x**3 + 0 - b*x + 0*x**2 = 0.
-1, 0, 1
Let t = 21 + -7. Let p be t/(-40) - (-6)/10. Factor 0*d + p*d**2 + 0.
d**2/4
Let w(s) be the second derivative of 0*s**4 - 1/60*s**5 - s**2 + 1/6*s**3 + 2*s + 0. Let l(q) be the first derivative of w(q). Factor l(a).
-(a - 1)*(a + 1)
Factor 0*v**3 - 2/5*v**4 - 1/5*v**5 + 0*v + 0 + 0*v**2.
-v**4*(v + 2)/5
Let s = -11 - -14. Let b(z) be the third derivative of 0*z + 0*z**4 + 1/40*z**5 - z**2 - 1/240*z**6 - 1/3*z**s + 0. What is h in b(h) = 0?
-1, 2
Let h(o) = 4*o**3 + o**2 - 2*o + 1. Let w be h(1). Factor -u**2 - w*u + u**3 + 2 + 3*u + 0*u**2 - 1.
(u - 1)**2*(u + 1)
Find v, given that 13*v**3 + 5*v**4 - 11*v**3 - 12*v**3 + 5*v**2 = 0.
0, 1
Factor -173*l**3 - l**4 - 2 + 9*l + 164*l**3 - 3*l**2 + 8 - 2*l**4.
-3*(l - 1)*(l + 1)**2*(l + 2)
Let n = 3 - 6. Let c be 1 + (1 - (-4)/n). Factor -2/3*v - 2/9*v**3 - 2/9 - c*v**2.
-2*(v + 1)**3/9
Let v(t) be the second derivative of t**2 - 1/3*t**3 - 1/6*t**4 + 0 + 1/10*t**5 + 2*t. Suppose v(f) = 0. Calculate f.
-1, 1
Let k(h) be the second derivative of h**4/12 - 5*h**3/6 - 3*h**2/2 - 4*h. Let b be k(6). Find q such that 0*q + 1/4*q**2 + 0 + 1/2*q**b = 0.
-1/2, 0
Let d(i) = 19*i**3 + 17*i**2 - 28*i - 16. Let p(v) = 6*v**3 + 6*v**2 - 9*v - 6. Let n(x) = -3*d(x) + 8*p(x). Factor n(y).
-3*y*(y - 1)*(3*y + 4)
Let q(m) be the third derivative of -m**8/420 + 8*m**7/525 - m**6/50 - 4*m**5/75 + 2*m**4/15 + 3*m**2 - 4*m. Let q(b) = 0. Calculate b.
-1, 0, 1, 2
Suppose -2*v + 2 = -v. Let r be 24/7 + (-21)/49. Factor 1 - 2 + r + 2 - 2*c**4 + 6*c**v + 2*c**3 - 10*c.
-2*(c - 1)**3*(c + 2)
Let r(q) be the first derivative of -q**3/5 - 8. Factor r(u).
-3*u**2/5
Let w(o) be the first derivative of 2*o**6 + 28*o**5/5 + 5*o**4 + 4*o**3/3 + 3. Factor w(f).
4*f**2*(f + 1)**2*(3*f + 1)
Let n(k) be the first derivative of -k**8/6720 + k**6/1440 - k**3 - 7. Let y(g) be the third derivative of n(g). Factor y(d).
-d**2*(d - 1)*(d + 1)/4
Let u(f) be the third derivative of -f**6/720 - f**5/120 + f**3/3 - 3*f**2. Let n(w) be the first derivative of u(w). Let n(c) = 0. What is c?
-2, 0
Let k(p) be the third derivative of -9*p**2 - 1/160*p**5 - 1/16*p**4 + 0 + 0*p - 3/16*p**3. Factor k(q).
-3*(q + 1)*(q + 3)/8
Let i(y) = -2*y + 8 + 6 - 2. Let s be i(5). Factor -14/3*l**s + 4/3 + 10/3*l.
-2*(l - 1)*(7*l + 2)/3
Let v(h) = 16*h - 1 + 80*h**2 - 10 - 3*h + 24*h**2. Let x(b) = b**2 - b - 1. Let u(q) = v(q) + x(q). Suppose u(l) = 0. What is l?
-2/5, 2/7
Let j = 252 + -1256/5. Factor -14/5*q - j - 2*q**2.
-2*(q + 1)*(5*q + 2)/5
Let t = -11 + 7. Let b = 7 + t. Factor 0*m + 4*m - 2*m**b + 4*m**2 - 6*m.
-2*m*(m - 1)**2
Let a(j) = 4*j**3 + 8*j**2 - 2*j. Let d(b) = -b**3 - b**2. Let x(o) = 4*a(o) + 20*d(o). Factor x(s).
-4*s*(s - 2)*(s - 1)
Suppose y + 6 - 8 = 0. What is x in 1/7*x**y - 3/7*x + 2/7 = 0?
1, 2
Let t(x) = -x**3 + 8*x**2 - 8*x + 10. Let w be t(7). Suppose -3*p**2 - 4*p + p**4 + 43 + 3*p - 41 + p**w = 0. What is p?
-2, -1, 1
Suppose 3*p + 2*j - 25 = -2*j, 5*p - 4*j = -1. What is b in -6*b**5 - 35*b**4 + p*b**3 + 32*b**4 + 0*b**5 = 0?
-1, 0, 1/2
Factor 1/7*h**3 - 4/7*h**2 - 2/7 + 5/7*h.
(h - 2)*(h - 1)**2/7
Let b(u) be the first derivative of u**3/3 + 3. Let b(p) = 0. Calculate p.
0
Suppose 0 + 0*h**2 + 1/4*h**3 + 0*h = 0. Calculate h.
0
Suppose 2*c - 2 = c. Let a = -121/2 - -365/6. Factor 0*j + 1/3*j**5 + j**3 - a*j**c - j**4 + 0.
j**2*(j - 1)**3/3
Let h(t) be the third derivative of -t**9/393120 - t**8/131040 + t**5/10 + 4*t**2. Let p(k) be the third derivative of h(k). Factor p(j).
-2*j**2*(j + 1)/13
Let j(f) be the second derivative of 7*f**7/2 + 77*f**6/10 + 24*f**5/5 + f**4 - 5*f. Let j(y) = 0. What is y?
-1, -2/7, 0
Suppose -52 + 22 = -15*h. Factor 0 + 6/5*t - 3/5*t**4 - 6/5*t**3 + 3/5*t**h.
-3*t*(t - 1)*(t + 1)*(t + 2)/5
Let v(j) be the t