/4 - 3/(-6). Let y be (x/10)/((-2)/(-5)). Determine d, given that y*d**4 + 2/3*d**2 + 2/3*d**5 + 0*d + 2*d**3 + 0 = 0.
-1, 0
Factor -4*u**4 - 23 + 15 + 4*u + 12*u**2 + 0*u**4 - 4*u**3.
-4*(u - 1)**2*(u + 1)*(u + 2)
Suppose -3*u + 2*o - 42 = 0, -u - 5*o + 5 = 2. Let t be u/(-12) - 3*-1. Factor -2/3*r**2 + 2/3*r**5 - 2/3*r**3 + 0 + 0*r + 2/3*r**t.
2*r**2*(r - 1)*(r + 1)**2/3
Solve 8/5*d**3 - 8/5 - 4/5*d**5 - 8/5*d**4 - 4/5*d + 16/5*d**2 = 0.
-2, -1, 1
Let b be (-166)/(-18) - 2/9. Let z(n) = -n**2 + 9*n + 2. Let x be z(b). Factor -l - 3*l - 2 + 0*l**2 + 0 - x*l**2.
-2*(l + 1)**2
Let o(u) = 4*u**2 - 12*u + 18. Let d(h) = -13*h**2 + 37*h + 20*h - 54 - 21*h. Let v(p) = 2*d(p) + 7*o(p). Factor v(b).
2*(b - 3)**2
Let b(f) = -7*f**4 - 7*f**3 - 26*f**2 - 29*f - 3. Let a(q) = -q**4 + q**3 - q + 1. Let g(j) = 5*a(j) - b(j). Suppose g(o) = 0. What is o?
-2, -1
Let z(p) = -p**5 - 3*p**4 - p**3 + p**2 - 2*p + 2. Let s(i) = -i**4 - i**3 - i + 1. Let u(j) = -2*s(j) + z(j). Factor u(a).
-a**2*(a - 1)*(a + 1)**2
Let g(l) be the first derivative of 512*l**5/5 + 384*l**4 + 576*l**3 + 432*l**2 + 162*l - 19. Determine i so that g(i) = 0.
-3/4
Let f(u) be the second derivative of -u**5/20 - u**4/3 - u**3/2 - 11*u. Solve f(a) = 0 for a.
-3, -1, 0
Let r be (-114)/(-54) + 6/(-54). Factor -1/6*p**r + 1/6 + 0*p.
-(p - 1)*(p + 1)/6
Let l(c) be the third derivative of -49*c**5/300 + 7*c**4/60 - c**3/30 + 66*c**2. Solve l(z) = 0 for z.
1/7
Let v(u) be the first derivative of -u**3/3 + u**2 - u - 1. Factor v(b).
-(b - 1)**2
Suppose 0 = -0*n - 2*n. Suppose n*x - 20 = -5*x. Find r such that -2/3 - 10/3*r**x + 20/3*r**3 + 10/3*r + 2/3*r**5 - 20/3*r**2 = 0.
1
Suppose 2*m + 4 = -0, -n - 6 = 4*m. Factor -2*z**2 + 4*z**2 + 0*z**2 + z**n - 3.
3*(z - 1)*(z + 1)
Let k be 10/(-68)*(-8)/(-120). Let g = k - -3/17. Suppose -1/6 + g*v**2 + 1/6*v - 1/6*v**3 = 0. Calculate v.
-1, 1
Let l = 1421/30 - 231/5. Let b(r) be the first derivative of -l*r**3 - 1/2*r**2 + 1/2*r - 1/2*r**4 - 1. Factor b(h).
-(h + 1)**2*(4*h - 1)/2
Find p such that -159*p - 23*p - 46*p + 64*p**4 + 32*p**3 - 64 - 188*p**2 - 8 = 0.
-1, -3/4, 2
Let l(h) be the first derivative of -h**2 - 1 + 1/180*h**5 - 1/18*h**3 + 0*h**4 + 0*h. Let f(j) be the second derivative of l(j). Factor f(u).
(u - 1)*(u + 1)/3
Let q = 41/3 - 199/15. Factor 0 + q*r**2 + 2/5*r**3 + 0*r.
2*r**2*(r + 1)/5
Let y(a) be the second derivative of -1/2*a**2 + 0 - 2*a + 1/12*a**4 - 1/6*a**3 + 1/20*a**5. Factor y(x).
(x - 1)*(x + 1)**2
Find m such that 6*m**3 - 3*m**5 - 2*m**2 - 8*m + 2*m**5 + m**4 - 2*m**2 = 0.
-2, -1, 0, 2
Let h(m) be the third derivative of 0*m - 1/36*m**4 + 3*m**2 - 1/45*m**5 - 1/180*m**6 + 0 + 0*m**3. What is u in h(u) = 0?
-1, 0
Let g = 6 + -2. Determine a, given that -4*a**2 - g + 7*a**2 - 5*a**2 - 6*a = 0.
-2, -1
Suppose 0 = -j + 4*x - 41, 4*x + 0*x = 16. Let r be j/10 + 3 + 0. Let r*s**2 - 1/4*s**4 + 0*s**3 - 1/4 + 0*s = 0. Calculate s.
-1, 1
Let t(s) be the third derivative of -s**5/40 - s**4/24 - s**3/36 + 14*s**2. Suppose t(j) = 0. What is j?
-1/3
Let c be (-2 + 3)/1*2. Let r(v) = -v + 1. Let w(u) = 2*u**2 + 2*u - 4. Let l(f) = c*r(f) + w(f). Solve l(x) = 0 for x.
-1, 1
Find j such that -32/9 - 126*j**4 - 232*j**3 + 160/9*j + 448/9*j**2 = 0.
-2, -2/7, 2/9
Factor 1/2*s**4 + s + 0 + 0*s**3 - 3/2*s**2.
s*(s - 1)**2*(s + 2)/2
Let n(y) = -3*y**3 + 11*y**2 + 5*y - 13. Let h(s) = -s**3 + s**2 + s - 1. Let g(v) = -5*h(v) + n(v). Suppose g(b) = 0. What is b?
-2, 1
Let t(z) be the first derivative of 3 + 2*z**3 + z + z**4 + 1/5*z**5 + 2*z**2. Suppose t(h) = 0. Calculate h.
-1
Let d(t) be the second derivative of -4/5*t**2 - 1/30*t**4 - 2*t + 0 - 4/15*t**3. What is z in d(z) = 0?
-2
Let y(z) be the first derivative of 2*z**5/5 + 2*z**4 + 4*z**3/3 - 4*z**2 - 6*z - 17. Factor y(i).
2*(i - 1)*(i + 1)**2*(i + 3)
Let 1/3*b**3 - 3*b - 5/3 - b**2 = 0. What is b?
-1, 5
What is b in 2*b**2 + 6*b**2 - b - 7*b**2 = 0?
0, 1
Let q be (-7 + 10)/(6/4). Let 4*f**3 + 37*f**4 + 6*f**q - 25*f**4 + 3*f**5 + 11*f**3 = 0. Calculate f.
-2, -1, 0
Let q(g) = 2*g**2 - 11*g + 9. Let k(c) be the first derivative of c**3/3 - 3*c**2 + 5*c - 3. Let i(f) = -11*k(f) + 6*q(f). Factor i(x).
(x - 1)*(x + 1)
Let x = 24 - 47/2. What is q in 1/2 - q**2 + 0*q + 0*q**3 + x*q**4 = 0?
-1, 1
Factor -n**4 + 4*n - 35 + 15 + 20 - 3*n**3.
-n*(n - 1)*(n + 2)**2
Let y be ((2 - 4) + 0)/((-6)/7). Solve 0*w - 2/3*w**2 + 4*w**4 + w**3 + y*w**5 + 0 = 0 for w.
-1, 0, 2/7
Let p(v) = -v**3 - 7*v**2 - 8*v - 9. Let g = 13 - 19. Let m be p(g). Factor -16 - 3*z**3 - 24*z - 12*z**2 + z**3 + z**m - z**3.
-2*(z + 2)**3
Let i(g) be the first derivative of -g**3/6 + g/2 + 10. What is h in i(h) = 0?
-1, 1
Let a = 14 + -10. Factor -6*t - 4*t**4 - 21*t**2 - 27*t**3 - 3*t**5 - 12*t**a + t**4.
-3*t*(t + 1)**3*(t + 2)
Let q(x) be the second derivative of 0*x**4 + 0*x**6 + 0*x**2 - 5*x + 1/2*x**3 + 0 - 3/10*x**5 + 1/14*x**7. Factor q(l).
3*l*(l - 1)**2*(l + 1)**2
Let r = 9 + -3. Suppose 0 = -5*a - 4*x + r*x + 56, -5*a + 58 = -x. Factor 11*p**3 - 36*p - a*p**3 + 9*p**3 - 12 - 9*p**2 + 7*p**3.
3*(p - 2)*(p + 1)*(5*p + 2)
Let v(n) be the third derivative of -1/12*n**4 + 0*n - 1/2*n**3 + 0 - n**2 - 1/180*n**5. Find k such that v(k) = 0.
-3
Factor 4/11*u + 14/11*u**2 - 10/11.
2*(u + 1)*(7*u - 5)/11
Let f = -151 + 1065/7. Factor 8/7*n + 10/7*n**2 - 6/7*n**3 - f.
-2*(n - 2)*(n + 1)*(3*n - 2)/7
Let w be -1 + -1 + (-12)/((-12)/4). Find u such that -2/3*u**2 - 4/3*u + w = 0.
-3, 1
Find h, given that -2/3*h**3 + 2*h - 4/3 + 0*h**2 = 0.
-2, 1
Let n = 63 + -314/5. Let h(b) be the second derivative of -2*b - 1/50*b**5 + 0 + 1/15*b**3 - 1/30*b**4 + n*b**2. Factor h(i).
-2*(i - 1)*(i + 1)**2/5
Let a(f) = f**5 - f**4 + f**3 + f**2 + f - 1. Let j(w) = 3*w**5 - 3*w**4 + w**3 + 3*w**2 + 2*w - 2. Let v(b) = 2*a(b) - j(b). Factor v(z).
-z**2*(z - 1)**2*(z + 1)
Let f be (-1)/6 - ((-762)/144 - -5). Let h(c) be the third derivative of 0 + 0*c + f*c**4 - 2*c**2 + 1/3*c**3 + 1/60*c**5. Factor h(n).
(n + 1)*(n + 2)
Let b(x) be the second derivative of 7*x**5/100 - 19*x**4/60 - x**3/5 + 4*x. Factor b(j).
j*(j - 3)*(7*j + 2)/5
Let j(l) = -l**3 - 2*l**2 - 2*l - 4. Let f be j(-2). Factor 0 + f*p**2 - 3/2*p**5 + 0*p**3 - 1/2*p**4 + 0*p.
-p**4*(3*p + 1)/2
Let y be (2 - (-76)/(-40))*6/3. Find b such that 1/5*b**5 + 2/5*b**4 + 0*b**3 - y*b - 2/5*b**2 + 0 = 0.
-1, 0, 1
Find a such that -3/5*a + 0 + 6/5*a**2 - 6/5*a**4 + 3/5*a**5 + 0*a**3 = 0.
-1, 0, 1
Let a = -90 - -992/11. Factor -a*t**2 + 0 + 2/11*t.
-2*t*(t - 1)/11
Let m(g) be the first derivative of g**4/32 - 3*g**2/16 - g/4 - 13. Factor m(o).
(o - 2)*(o + 1)**2/8
Suppose 2*u + 18 = -u. Let l(p) = p + 10. Let c be l(u). Factor 0 + 0*j + 0*j**3 - 2/7*j**c + 2/7*j**2.
-2*j**2*(j - 1)*(j + 1)/7
Let u(l) be the third derivative of l**7/280 + l**6/40 + l**5/20 - l**3/2 - 4*l**2. Let v(r) be the first derivative of u(r). Factor v(k).
3*k*(k + 1)*(k + 2)
Factor -1/2*g + 0 - 1/2*g**2.
-g*(g + 1)/2
Let h(f) be the third derivative of f**7/105 - f**6/20 + 13*f**5/120 - f**4/8 + f**3/12 + 2*f**2. Factor h(i).
(i - 1)**2*(2*i - 1)**2/2
Let p(f) be the first derivative of 4*f**3/5 + 57*f**2/10 - 3*f - 2. Factor p(n).
3*(n + 5)*(4*n - 1)/5
Solve 2/5*w**2 + 0 + 0*w + 11/5*w**3 - 6/5*w**4 = 0 for w.
-1/6, 0, 2
Let j(t) be the third derivative of t**8/336 - t**6/120 + 8*t**2. Factor j(c).
c**3*(c - 1)*(c + 1)
Let m be 1/(-3)*(-5)/350. Let r(u) be the third derivative of 0*u**3 - 1/60*u**5 + 0*u + 0 - u**2 + m*u**7 - 1/24*u**4 + 1/120*u**6. Factor r(v).
v*(v - 1)*(v + 1)**2
Let i(n) be the third derivative of 3*n**2 + 3/10*n**6 + 0 + 1/8*n**4 + 4/35*n**7 + 0*n**3 + 3/10*n**5 + 0*n. Factor i(f).
3*f*(2*f + 1)**3
Let q(f) be the first derivative of -f**6/180 + f**4/12 - 2*f**3/3 - 4. Let r(s) be the third derivative of q(s). Factor r(b).
-2*(b - 1)*(b + 1)
Factor -2/3*o**4 + 0 + 2/3*o**2 - 2/3*o**5 + 2/3*o**3 + 0*o.
-2*o**2*(o - 1)*(o + 1)**2/3
Let b be 2 - (-24)/(-15) - 15/100. Let c(n) be the first derivative of -1/4*n + 1/3*n**3 - b*n**2 - 3 + 1/8*n**4 - 3/20*n**5. Suppose c(y) = 0. What is y?
-1, -1/3, 1
Let g be (-124)/(-44) + 4/22. Let u(l) be the second derivative of 0 + 1/48*l**4 + 0*l**g - 1/8*l**2 + 2*l. Let u(b) = 0. Calculate b.
-1, 1
Let x(c) = -c**2 - 6*c + 8. Let n(m) = -5*m**2 - 23*m + 32. Let v(