mine b, given that -1/2*b**5 + 0 - 1/2*b - 3*b**3 - u*b**2 - 2*b**4 = 0.
-1, 0
Let a(t) be the third derivative of -1/90*t**6 + 1/45*t**5 - 1/504*t**8 + 0 + 2*t**2 + 1/9*t**3 + 0*t - 1/105*t**7 + 1/12*t**4. What is x in a(x) = 0?
-1, 1
Let o(y) = -y. Let h be o(-4). Find f, given that 2*f**4 - 2*f**2 + 0*f**2 + 0*f**h = 0.
-1, 0, 1
Suppose 5 = 3*n - 4. Suppose -7 = -5*q + n, -5*p - q + 22 = 0. Factor 1/4*w**2 - 1/4*w**3 - 1/4*w**p + 1/4*w**5 + 0*w + 0.
w**2*(w - 1)**2*(w + 1)/4
Let q(t) be the first derivative of 9/4*t**4 - t**3 - 9/5*t**5 + 1/2*t**6 + 0*t**2 + 0*t + 2. Find l such that q(l) = 0.
0, 1
Factor -t**2 + 1/3*t**3 + 2/3*t + 0.
t*(t - 2)*(t - 1)/3
Let v(m) be the first derivative of -3 - 2*m**3 - 1/2*m**6 - 3/2*m**2 + 3*m + 3/2*m**4 + 3/5*m**5. Suppose v(l) = 0. What is l?
-1, 1
Let t(q) = -q**3 - q**2 + 2. Let c be t(-2). Let y = 10 - c. Factor 0*j - 1/4*j**5 - 1/4*j**y + 1/4*j**2 + 0 + 1/4*j**3.
-j**2*(j - 1)*(j + 1)**2/4
Suppose -7*s + 47 - 12 = 0. Let u(w) be the second derivative of 1/110*w**s + 0 - w + 1/11*w**3 - 1/22*w**4 - 1/11*w**2. Find l, given that u(l) = 0.
1
Let z(j) be the third derivative of j**8/28 + 16*j**7/105 + j**6/5 - j**4/6 - 5*j**2. Factor z(y).
4*y*(y + 1)**3*(3*y - 1)
Let y(i) be the third derivative of -i**5/210 + i**4/28 - 2*i**3/21 + 5*i**2. Factor y(o).
-2*(o - 2)*(o - 1)/7
Let s(u) = -u**3. Let y(m) = -5*m**3 + 4*m**2 - 2*m. Suppose 4*b + 0*b + 12 = 0. Let f(k) = b*s(k) + y(k). Solve f(z) = 0 for z.
0, 1
Let v(w) = -w**2 - 18*w - 11. Let y(k) = -2*k**2 - 38*k - 23. Let f(s) = -13*v(s) + 6*y(s). Factor f(d).
(d + 1)*(d + 5)
Determine f, given that -44*f**2 - 33*f**3 - 3*f - 8*f - 28*f**4 - 31*f**3 + 3*f = 0.
-1, -2/7, 0
Let z = -1 - -4. Suppose -v = z*v. Determine n so that 0 + n**3 + 0*n**4 - 1/2*n + v*n**2 - 1/2*n**5 = 0.
-1, 0, 1
Let t be 10/(-25)*-4 + 1/(-1). Find q, given that 3/5*q**2 + 0*q - t = 0.
-1, 1
Suppose -8*g - 5*g = -39. Factor 0*n**g + 0 - 2/7*n**5 + 4/7*n**2 - 4/7*n**4 + 2/7*n.
-2*n*(n - 1)*(n + 1)**3/7
Solve 0 + 69/7*l**4 - 6/7*l + 72/7*l**3 - 18*l**5 - 9/7*l**2 = 0 for l.
-1/2, -2/7, 0, 1/3, 1
Determine f so that 2/7*f**5 - 2/7*f**2 - 2/7*f**3 + 0 + 2/7*f**4 + 0*f = 0.
-1, 0, 1
Let z(o) = -2*o**5 + 8*o**4 + 20*o**3 - 17*o**2. Let w(g) = 25*g**5 - 95*g**4 - 240*g**3 + 205*g**2. Let x(v) = 3*w(v) + 35*z(v). What is q in x(q) = 0?
-2, 0, 1, 2
Factor 0*j**2 + 0 + 4/3*j**4 + 2/3*j**5 + 0*j + 2/3*j**3.
2*j**3*(j + 1)**2/3
Let t = -51 - -103. Factor -46*i + t*i + 2*i**3 - 3*i**2 - 5*i**2.
2*i*(i - 3)*(i - 1)
Let -32*q**3 + 6*q**2 + 3*q + 35*q**3 + 0*q = 0. What is q?
-1, 0
Let y(a) be the third derivative of a**7/112 + a**6/40 - 19*a**5/160 + 3*a**4/32 - 2*a**2 + 9. Suppose y(u) = 0. Calculate u.
-3, 0, 2/5, 1
Let h(c) be the third derivative of -2/45*c**5 + 5/36*c**4 + 0 + 0*c + c**2 + 1/180*c**6 - 2/9*c**3. Find f such that h(f) = 0.
1, 2
Let m(l) be the second derivative of l**6/18 - 11*l**5/30 + 25*l**4/36 + 2*l**3/9 - 2*l**2 - 30*l. Solve m(r) = 0 for r.
-3/5, 1, 2
Let d(u) be the third derivative of -u**6/6 + 7*u**5/15 - u**4/3 - 3*u**2. Let d(p) = 0. What is p?
0, 2/5, 1
Let j(f) be the second derivative of -3*f**5/20 + f**4 + f**3/2 - 6*f**2 - 10*f. Factor j(i).
-3*(i - 4)*(i - 1)*(i + 1)
Let r be 4*(0 + 2/4). Suppose -p + r - 7 = 0. Let d(c) = 3*c**2 + 5*c - 3. Let s(x) = -2*x**2 - 3*x + 2. Let i(w) = p*s(w) - 3*d(w). Factor i(t).
(t - 1)*(t + 1)
Let j(t) be the first derivative of -2*t**5/5 + t**4 - 2*t**3/3 - 21. Factor j(v).
-2*v**2*(v - 1)**2
Suppose 0 = 5*k - 0*k - 25. Suppose -4*d + 3 = -w, 2*d + k*w = -0*d - 15. Factor 2/7*s**2 + d + 0*s.
2*s**2/7
Suppose 8*g - 9*g + 141 = 0. Let v = g - 703/5. Suppose -v*u + 0 - 2/5*u**2 = 0. Calculate u.
-1, 0
Let y = 235/7 - 250/21. Let s = y - 21. Factor s*w**2 + 0*w - 2/3*w**3 + 0.
-2*w**2*(w - 1)/3
Find b such that -4/15 - 2/15*b**4 + 2/15*b + 2/5*b**2 - 2/15*b**3 = 0.
-2, -1, 1
Let l(h) = -h**3 - 8*h**2 - 9*h - 2. Let d be l(-7). Solve 36*x**2 + 40*x + 14*x**3 - 15*x**4 + 29*x**4 - d*x**4 + 16 = 0.
-2, -1
Let v be -1 - (1 + (-8)/1). Factor -3*b**3 - v*b**2 + b**2 + 5*b**3 - 4*b + 3*b**2.
2*b*(b - 2)*(b + 1)
Let d(m) be the third derivative of -m**5/40 - 7*m**4/48 - m**3/6 - 7*m**2. Factor d(i).
-(i + 2)*(3*i + 1)/2
Let a(c) be the third derivative of -c**7/630 + c**6/360 + c**5/90 + 12*c**2. Factor a(i).
-i**2*(i - 2)*(i + 1)/3
Find z such that 15/4*z**3 + 5/2*z + 0 - 5/4*z**5 + 5/4*z**4 - 25/4*z**2 = 0.
-2, 0, 1
Let d(i) be the third derivative of i**5/120 + i**4/24 + 5*i**2. Factor d(s).
s*(s + 2)/2
Let j be (-284 - 2)*4/(-10). Let g = -114 + j. Suppose -g*v - 2/5*v**2 + 0 = 0. What is v?
-1, 0
Let x be (-2)/(-9)*3/2. Factor 1/3 + 1/6*p**2 - 5/6*p + x*p**3.
(p - 1)*(p + 2)*(2*p - 1)/6
Let z = 1 - -6. Factor 5 - z + 2 - 2*a**2 + a**3 + a.
a*(a - 1)**2
Suppose 3*k + k = -32. Let y = -6 - k. Factor -2*w**2 - w**4 + w + 7*w**3 - 2*w**4 - 3*w**y.
-w*(w - 1)**2*(3*w - 1)
Factor 0 + 15/8*u**2 + 3/4*u + 3/2*u**3 + 3/8*u**4.
3*u*(u + 1)**2*(u + 2)/8
Let w(z) be the third derivative of -z**6/120 + z**5/20 - z**4/8 - z**3/2 + 4*z**2. Let c(m) be the first derivative of w(m). Factor c(t).
-3*(t - 1)**2
Let r(y) = -y**2 - 10*y - 10. Let h be r(-9). Let u(j) = -2*j. Let x be u(h). Let 6*b**3 + x - 2 + 0 - 2*b**4 - 4*b**2 = 0. Calculate b.
0, 1, 2
Let i(b) be the second derivative of -b**7/105 - b**6/15 - b**5/5 - b**4/3 - b**3/3 - b**2/5 - 8*b. Factor i(a).
-2*(a + 1)**5/5
Let n(r) be the first derivative of 3*r**5/20 - 3*r**4/8 + r**3/4 - 2. Factor n(j).
3*j**2*(j - 1)**2/4
Let l(z) be the first derivative of z**6/15 + 2*z**5/25 - z**4/5 - 4*z**3/15 + z**2/5 + 2*z/5 - 9. Factor l(o).
2*(o - 1)**2*(o + 1)**3/5
Solve 5*a**3 + 5*a**4 - 5*a**2 - 26*a + 21*a + 0*a**3 = 0 for a.
-1, 0, 1
Let x(f) be the third derivative of f**8/168 + f**7/105 - f**6/12 - f**5/6 + f**4/3 + 4*f**3/3 - 4*f**2. Suppose x(r) = 0. Calculate r.
-2, -1, 1, 2
Let p = -8 + 11. Let w(a) be the third derivative of 0*a + 0*a**p + 2*a**2 + 0*a**5 + 0 - 1/420*a**6 + 0*a**4. Factor w(q).
-2*q**3/7
Let m(g) be the first derivative of g**6/30 - g**5/20 - 3*g - 3. Let k(c) be the first derivative of m(c). Factor k(z).
z**3*(z - 1)
Let d(f) = -f**2 + 5*f. Let z(j) = -j**2 + 3*j. Let v(y) = 3*d(y) - 5*z(y). Factor v(m).
2*m**2
Let x be (43/31)/(2 - 6). Let k = -3/31 - x. Factor k*g**3 + 0 + 1/4*g - 1/2*g**2.
g*(g - 1)**2/4
Factor 2/3*s**3 + 1/3*s**2 + 0*s + 0 + 1/3*s**4.
s**2*(s + 1)**2/3
Let p(m) = -m**2 + m - 1. Let c(z) = -14*z**2 + 15*z - 12. Let f(x) = -2*c(x) + 22*p(x). Solve f(t) = 0 for t.
1/3, 1
Suppose a - 2*w - 9 + 2 = 0, -29 = -3*a - 2*w. Solve 6*c + a*c - 8*c**2 + 3*c**3 - 2*c**2 - 2*c**2 - 6 = 0 for c.
1, 2
Let j(o) be the second derivative of -3/10*o**2 - 2*o + 0*o**3 + 1/20*o**4 + 0. Find k, given that j(k) = 0.
-1, 1
Let b(q) be the second derivative of 1/9*q**3 + 1/36*q**4 - 3*q - 1/45*q**5 + 0 + 1/2*q**2. Let a(h) be the first derivative of b(h). Factor a(f).
-2*(f - 1)*(2*f + 1)/3
Suppose 2 + 1 = 3*x. Let h(r) = r**3 - r**2 + 1. Let w(g) = 15*g**3 + 28*g**2 - g - 8. Let c(u) = x*w(u) + 6*h(u). Factor c(m).
(m + 1)*(3*m + 1)*(7*m - 2)
Let v = 44 - 41. Let w(b) be the second derivative of 1/40*b**5 + b + 0*b**4 - 1/12*b**v + 0 + 0*b**2. Factor w(q).
q*(q - 1)*(q + 1)/2
Let b(d) be the third derivative of -d**7/280 - d**6/60 - d**5/30 - d**4/12 + 4*d**2. Let c(n) be the second derivative of b(n). Suppose c(x) = 0. Calculate x.
-2/3
Let p = -2/29 + 68/145. What is k in -2/5 + p*k**2 + 0*k = 0?
-1, 1
Let x(y) be the first derivative of -3*y**4/22 - 2*y**3/33 + 2*y**2/11 + 5. Factor x(b).
-2*b*(b + 1)*(3*b - 2)/11
Let f(o) be the first derivative of -o**3/6 - o**2/2 - o/2 - 2. Suppose f(s) = 0. Calculate s.
-1
Let f(m) = -m - 8. Let o be f(-6). Let w = o - -4. Factor w*a**2 + 2*a**3 + 0*a + 0*a.
2*a**2*(a + 1)
Factor 1/2*s + 2/3*s**2 + 0 + 1/6*s**3.
s*(s + 1)*(s + 3)/6
Let j(u) be the first derivative of -2*u**4 - 10/3*u**3 - 2/5*u**5 + 1 - 2*u**2 + 0*u. Factor j(d).
-2*d*(d + 1)**2*(d + 2)
Let f be 4/30 + (-35)/(-21). Find t such that 3/5*t**5 + 0 - 6/5*t + f*t**2 + 3/5*t**3 - 9/5*t**4 = 0.
-1, 0, 1, 2
Let g be 1/(-27)*777/(-14). Let h = g - 14/9. Factor -h*u**3 + 12*u**4 + 0 - 1/2*u - 3*u**2 - 8*u**5.
-u*(u - 1)**2*(4*u + 1)**2/2
Let v = 3 - 1. Solve -14*r**2 + 17*r**