ne z, given that u(z) = 0.
-2, 1/2, 1, 2
Suppose 4*f - 15 = x, -5*x - 10 + 35 = 5*f. Factor 4/3*y - 8/3*y**3 + 4/3*y**f - 8/3*y**2 + 4/3 + 4/3*y**5.
4*(y - 1)**2*(y + 1)**3/3
Let b(h) be the first derivative of 14*h**3/15 + h**2 - 4*h/5 + 7. What is q in b(q) = 0?
-1, 2/7
What is u in -18*u - 27/2*u**5 + 30*u**2 + 51/2*u**3 - 36*u**4 + 0 = 0?
-3, -1, 0, 2/3
Let i(s) be the second derivative of 1/180*s**6 - 1/36*s**4 + 1/9*s**3 + s**2 + 3*s - 1/90*s**5 + 0. Let p(x) be the first derivative of i(x). Factor p(g).
2*(g - 1)**2*(g + 1)/3
Let q be (-35)/(-11) - (-24)/(-132). Suppose 0 = a - 0*a - q. Determine r, given that 4/3*r**2 + 0 + 2/3*r**a + 2/3*r = 0.
-1, 0
Suppose -2*x = 4*w + 14 - 0, -4*x = 2*w + 22. Let n(q) = -q + 3 - 3. Let z(c) = -c**2 - c + 1. Let j(s) = w*z(s) + n(s). Factor j(t).
(t - 1)*(t + 1)
Let u be (-3)/12 - 77/(-4). Let c be u/5 - (2 - -1). Determine f so that 2/5 + 2/5*f**2 + c*f = 0.
-1
Let n(a) be the first derivative of a**6/30 - a**5/10 + a**3/3 - a**2/2 + a - 2. Let p(i) be the first derivative of n(i). What is b in p(b) = 0?
-1, 1
Let d = 5 - 3. Factor -17*a**4 + 14*a**4 - 6*a**3 + 4*a**2 - a**d + 6*a.
-3*a*(a - 1)*(a + 1)*(a + 2)
Suppose 35 = 5*q - 0. Find i such that 4*i**4 + 4*i**2 - 2*i**2 + q*i**3 + 2*i**4 - i**3 + 2*i**5 = 0.
-1, 0
Let x(v) be the first derivative of -v**7/35 + v**6/15 + v**5/30 - v**4/6 - v**2/2 - 3. Let y(f) be the second derivative of x(f). Factor y(c).
-2*c*(c - 1)**2*(3*c + 2)
Let x be (-2)/5 + 17/5. Suppose -4 = -2*v - 0, 0 = g - 2*v. Factor -2*f + f - x*f - f**2 - g.
-(f + 2)**2
Let l(s) be the third derivative of s**5/90 + 48*s**2. What is o in l(o) = 0?
0
Let b be (-5)/(-4)*22/55. Let v = 1 - -2. Let 1/2*f + 0 + b*f**v - f**2 = 0. What is f?
0, 1
Let p(s) be the third derivative of 0*s + 0*s**4 - 2/3*s**3 + 0 - 2*s**2 + 1/20*s**5 + 1/120*s**6. Factor p(a).
(a - 1)*(a + 2)**2
Let t = -916/297 - -98/27. Factor -4/11 + t*o - 2/11*o**2.
-2*(o - 2)*(o - 1)/11
Let b be (2/(-3))/(4/(-18)). Suppose b*h - 4 = -m, 0 = -m + 3*m + 4. Factor -1/2*r + 0 - 2*r**h.
-r*(4*r + 1)/2
Let o be 1/(-4) - (-37)/4. Let q be ((-8)/(-12))/(2/o). Factor -2*r + q*r - 2*r - 1 + r**3 + r**2.
(r - 1)*(r + 1)**2
Let w(y) be the second derivative of -y**5/70 + y**4/42 + y**3/21 - y**2/7 + 5*y. Suppose w(a) = 0. Calculate a.
-1, 1
Suppose -6/5 - 3/5*q + 3/5*q**2 = 0. What is q?
-1, 2
Let q(k) = k**2 + 5*k + 7. Let y be q(-4). Suppose -1/6*w**4 - w**2 - 2/3*w**y - 2/3*w - 1/6 = 0. Calculate w.
-1
Factor a - 4*a + 2*a**3 + a**3 - 6*a + 6.
3*(a - 1)**2*(a + 2)
Let t be ((-668)/(-270) - 2) + (-6)/15. Let k(q) be the first derivative of -2 - t*q**3 + 0*q**2 + 1/18*q**4 + 0*q. Factor k(s).
2*s**2*(s - 1)/9
Let z(r) be the third derivative of r**5/300 - r**3/30 - 5*r**2. Factor z(u).
(u - 1)*(u + 1)/5
Let c(d) = d**3 + 18*d**2 + 75*d + 128. Let k(p) = p**3 + 19*p**2 + 75*p + 129. Let r(j) = 4*c(j) - 3*k(j). Factor r(n).
(n + 5)**3
Let y(a) = -a**2 - a. Let x(p) be the second derivative of p**5/10 + p**4/2 + p**3 - 2*p. Let c = 2 - 3. Let d(v) = c*x(v) - 6*y(v). Factor d(b).
-2*b**3
Let v = 305 + 62. Let g = -1827/5 + v. Factor 8/5*t - 2/5*t**2 - g.
-2*(t - 2)**2/5
Find w such that -3/2*w - 1/2*w**3 + 0 + 2*w**2 = 0.
0, 1, 3
Suppose -2*c - 5*u + 8 = -6, 31 = -5*c + 4*u. Let a be 0/((-1 - c)/2). Factor -2/5*t**4 + 0 - 2/5*t**2 + a*t + 4/5*t**3.
-2*t**2*(t - 1)**2/5
Let x = -2927/24 + 122. Let r(n) be the second derivative of -x*n**4 + 1/6*n**3 - 1/10*n**5 + 1/20*n**6 + 0*n**2 + 0 - n. Solve r(i) = 0.
-2/3, 0, 1
Let t be 2/(-8) + (-15)/20. Let g = t - -5. Let -3*j - j**3 - g*j**2 - 3*j**2 + 4*j**2 - 1 = 0. What is j?
-1
Suppose 2*i - i = 6. Let b be 1/5 + i/20. What is w in 0 + b*w**3 + 0*w + 1/4*w**2 + 1/4*w**4 = 0?
-1, 0
Factor -2*d**2 + 3/2*d + 1/2*d**3 + 0.
d*(d - 3)*(d - 1)/2
Suppose 5*u - 12 = u. Let d be (3 - 2)*6 + 3 + -1. Factor -2*v**u + 4*v - 9*v + 18*v**2 - d - 7*v - 3*v**3.
-(v - 2)**2*(5*v + 2)
Let q(y) be the third derivative of 0*y + 1/5*y**3 + 3*y**2 - 1/30*y**4 - 1/150*y**5 + 0. Factor q(s).
-2*(s - 1)*(s + 3)/5
Let 51*v**5 + 100*v**4 + 20*v**3 - 6*v**5 + 0*v**4 = 0. What is v?
-2, -2/9, 0
Let w(a) be the third derivative of 6*a**2 + 0*a**3 + 0*a + 1/90*a**5 + 1/315*a**7 + 0*a**4 + 1/90*a**6 + 0. Factor w(k).
2*k**2*(k + 1)**2/3
Let p = -46 - -46. Let b(d) be the first derivative of 3/2*d**2 - 3/4*d**4 + p*d**3 - 2 + 0*d. Factor b(x).
-3*x*(x - 1)*(x + 1)
Let g(x) = -2*x**2 - 17*x + 11. Let m(p) = p**2 + 8*p - 5. Let j(n) = -6*g(n) - 13*m(n). Let j(q) = 0. What is q?
-1
Factor -10*i**3 + 0*i**4 + 5*i**3 - 20*i**2 + 5*i**4 + 10*i**2.
5*i**2*(i - 2)*(i + 1)
Suppose 0 = -b - 4*b + 55. Suppose -f = -5, 3*p - 3*f = f - b. Find w such that 4/11*w + 2/11*w**2 - 4/11*w**p - 2/11 = 0.
-1, 1/2, 1
Let h(i) be the first derivative of -i**6/420 + i**5/105 - i**2/2 - 9. Let k(c) be the second derivative of h(c). Suppose k(s) = 0. What is s?
0, 2
Suppose 5*o = 77 + 48. Suppose -5*h - 2*x = -o, -h + 2 + 26 = 5*x. Let -34/11*c**4 + 28/11*c**5 - 2/11*c - 26/11*c**h + 38/11*c**2 - 4/11 = 0. Calculate c.
-1, -2/7, 1/2, 1
Suppose i - 3 + 1 = 0. Suppose -2*c**i + 10 + c**2 - 14 - 4*c = 0. What is c?
-2
Let h = -1/55 - -113/165. Suppose 0 + 2/3*j**5 - 2/3*j**4 + h*j**2 - 2/3*j**3 + 0*j = 0. Calculate j.
-1, 0, 1
Let m be -9*12/(-270) - (-36)/10. Find g, given that -2/7*g**5 - 8/7*g**m + 0 - 4/7*g**2 - 10/7*g**3 + 0*g = 0.
-2, -1, 0
Let j = -8 + 10. Suppose 0 = 3*n + j*g + 10, 2 + 13 = n - 3*g. Find a such that 0 + n*a**2 + 0*a - 2/7*a**3 = 0.
0
Let w = 36 + -18. Let f be (-4)/6*(-9)/w. Solve 0*h**2 - f*h**3 + 1/3*h + 0 = 0 for h.
-1, 0, 1
Let s(y) be the first derivative of y**6/165 - y**5/55 + y**4/66 + 4*y - 4. Let p(i) be the first derivative of s(i). Determine h, given that p(h) = 0.
0, 1
Let z be 9/15 + 126/(-10). Let f be 1 + 3/z - 0. Determine w, given that 0 + f*w**3 + w**2 - w = 0.
-2, 0, 2/3
Let n(y) be the third derivative of 5*y**8/336 - y**7/42 - y**6/24 + y**5/12 - 22*y**2. Factor n(x).
5*x**2*(x - 1)**2*(x + 1)
Let k(l) be the third derivative of l**8/448 + l**7/280 - l**6/160 - l**5/80 - 10*l**2. Let k(u) = 0. Calculate u.
-1, 0, 1
Let x(b) = -b**2 + 1. Let k(o) = o**3 - o. Let l(t) = k(t) - 2*x(t). Find v such that l(v) = 0.
-2, -1, 1
Let z(i) be the third derivative of -i**6/24 + i**5/4 - 5*i**4/8 + 5*i**3/6 - 24*i**2. Factor z(n).
-5*(n - 1)**3
Let m(d) be the first derivative of d**6/45 - d**4/12 + 8*d**3/3 - 8. Let f(y) be the third derivative of m(y). Factor f(u).
2*(2*u - 1)*(2*u + 1)
Let t(o) be the third derivative of -o**6/120 + o**5/10 - 5*o**4/24 + o**3/2 + 4*o**2. Let x be t(5). Factor 0*k - 2/3*k**2 + 0 - 2/3*k**x.
-2*k**2*(k + 1)/3
Let j(t) = -t**2 + 3*t - 2. Let z be j(2). Let x(f) be the second derivative of -2*f - 1/2*f**2 + 1/12*f**4 + z + 0*f**3. Factor x(q).
(q - 1)*(q + 1)
Suppose 6*f - 24*f + 90 = 0. Factor -2*s + 4/5 + 8/5*s**3 + 4/5*s**2 - 8/5*s**4 + 2/5*s**f.
2*(s - 2)*(s - 1)**3*(s + 1)/5
Determine s so that -10*s**2 + 10*s**2 - s**4 - s**3 + 0*s**3 = 0.
-1, 0
Let k(h) be the second derivative of h**7/14 - h**6/5 - 8*h. Factor k(j).
3*j**4*(j - 2)
Suppose 14 = 2*s - 10. Factor -3*c**2 - s*c**2 + 1 - 3*c - 6*c**3 + 5.
-3*(c + 1)*(c + 2)*(2*c - 1)
Let z(a) be the first derivative of -a**5/100 - a**4/20 - a**2 - 4. Let p(i) be the second derivative of z(i). Factor p(g).
-3*g*(g + 2)/5
Let o(y) be the first derivative of y**6/15 - y**4/10 - 7. Let o(r) = 0. Calculate r.
-1, 0, 1
Let n(s) be the third derivative of s**7/210 - s**6/120 - s**5/60 + s**4/24 + 5*s**2. Find q such that n(q) = 0.
-1, 0, 1
Let z(i) be the first derivative of -i**6/2 - 12*i**5/5 - 30. Find b such that z(b) = 0.
-4, 0
Let x(a) be the third derivative of 0*a + 7/132*a**4 + 1/220*a**6 + 4/165*a**5 + 0 + 2/33*a**3 + a**2. Solve x(f) = 0 for f.
-1, -2/3
Solve 14/23*b**5 - 4/23*b**4 - 28/23*b**3 - 4/23 + 8/23*b**2 + 14/23*b = 0.
-1, 2/7, 1
Let j = -45411/20 - -2271. Let w(l) be the second derivative of 13/36*l**4 + j*l**5 + 1/9*l**3 + 0*l**2 + 0 + 1/18*l**7 + 23/90*l**6 - 2*l. Factor w(z).
z*(z + 1)**3*(7*z + 2)/3
Let l(d) be the second derivative of 2*d**7/21 + 2*d**6/15 - d**5/5 - d**4/3 - 12*d. Factor l(m).
4*m**2*(m - 1)*(m + 1)**2
Let n be -6*1/8*-2. Factor -n*k + 0 - 3/2*k**3 + 3*k**2.
-3*k*(k - 1)**2/2
Let o = -10 - -