(-3). What is u in -4/7 + 4/7*u**4 + 2*u + y*u**3 - 16/7*u**2 - 2/7*u**5 = 0?
-2, 1
Find k, given that 30*k + 25*k**3 + 32*k**2 + 5*k**4 + 5*k + 27*k**2 + 10 - 14*k**2 = 0.
-2, -1
Let f(n) = -3*n**2 + 10*n - 2. Let b(a) = -4*a**2 + 11*a - 3. Let i(j) = -4*b(j) + 5*f(j). Let s(r) = r**2 + 5*r + 2. Let d(u) = 2*i(u) - 3*s(u). Factor d(c).
-(c + 1)*(c + 2)
Factor 3*h - 35*h**2 + 29*h**2 + h**5 - 4*h**5 + 6*h**4.
-3*h*(h - 1)**3*(h + 1)
Let k(c) be the third derivative of -2*c**7/105 - c**6/300 + 2*c**5/25 + c**4/60 - 2*c**3/15 - 6*c**2 - 3. Find x, given that k(x) = 0.
-1, -1/2, 2/5, 1
Let l(o) = -9*o**3 - 6*o**2 - 3. Let v(y) = 27*y**3 + 18*y**2 - y + 8. Let r(p) = -8*l(p) - 3*v(p). Factor r(w).
-3*w*(w + 1)*(3*w - 1)
Let a(n) = -5*n**4 - 7*n**2 - 6. Suppose 0 = -4*w - 4, s = -2*s - w - 52. Let k(g) = -14*g**4 - 20*g**2 - 17. Let m(q) = s*a(q) + 6*k(q). Factor m(i).
i**2*(i - 1)*(i + 1)
Let x(z) = -35*z**3 + 59*z**2 - 28*z + 7. Let q be 4/6 + (-5)/(-15). Let a(y) = -1. Let t(s) = q*x(s) + 3*a(s). Factor t(k).
-(k - 1)*(5*k - 2)*(7*k - 2)
Let r(d) = 2*d**4 + 27*d**3 + 62*d**2 + 57*d + 23. Let z(a) = 3*a**4 + 53*a**3 + 123*a**2 + 113*a + 47. Let m(k) = 7*r(k) - 3*z(k). Factor m(l).
5*(l + 1)**2*(l + 2)**2
Let a(j) = j**5 + j**4 + j**3 - j**2. Let t(u) = 5*u**5 + u**4 + u**3 - 9*u**2. Let r(q) = 14*a(q) - 2*t(q). Factor r(g).
4*g**2*(g + 1)**3
Factor 32 - 32 - 5*w**3 - 10*w**2.
-5*w**2*(w + 2)
Determine g, given that -10*g**2 + 14 - 5*g**3 + 15*g - 14 = 0.
-3, 0, 1
Let a be 4/(0/(-2) - -2). Factor -h + 4*h**a + h - 3*h - h**2 + 1 - h**3.
-(h - 1)**3
Solve 0 - 1/11*n**5 + 1/11*n**3 + 0*n**2 + 0*n + 0*n**4 = 0 for n.
-1, 0, 1
Let a(h) be the first derivative of h**6/18 - h**5/15 - h**4/6 + 2*h**3/9 + h**2/6 - h/3 + 7. Factor a(y).
(y - 1)**3*(y + 1)**2/3
Suppose -4*d + 12 = -0*d. Determine t so that 0*t**2 + t**4 + t + 3*t**2 + 0*t**2 + 0*t**2 + d*t**3 = 0.
-1, 0
Let c(u) be the first derivative of u**7/525 - u**6/150 + u**5/150 - u**2/2 - 3. Let r(y) be the second derivative of c(y). Let r(h) = 0. Calculate h.
0, 1
Let a(s) be the first derivative of s**6/2 + 3*s**5/5 - 3*s**4/2 + 5. Factor a(q).
3*q**3*(q - 1)*(q + 2)
Let k = 42 - 38. Factor -k - 1/2*i**3 - 3*i**2 - 6*i.
-(i + 2)**3/2
Determine z, given that 0 - z**2 - 6 - 2*z - 2*z + 2 = 0.
-2
Let v(d) be the third derivative of 0 + 0*d**6 + 0*d**4 + 0*d**3 - 1/315*d**7 + 4*d**2 + 0*d**5 + 0*d. Factor v(x).
-2*x**4/3
Let t = 24 - 21. Determine u, given that 3*u**2 + u - 15/2*u**4 - 11/4*u**t + 25/4*u**5 + 0 = 0.
-2/5, 0, 1
Let y be 1 + 24/(-14) + 2 + -1. Let -2/7*g**3 + 0 + 2/7*g**2 - y*g**4 + 2/7*g = 0. Calculate g.
-1, 0, 1
Let p(z) = -6*z**2 - 10*z - 12. Let w(j) = 4*j**2 - 2*j**2 + 0*j**2 - 1 + 3*j + 5. Let s(n) = 3*p(n) + 8*w(n). Factor s(r).
-2*(r + 1)*(r + 2)
Let s(q) be the first derivative of -2*q**6/3 - 4*q**5/5 + 2*q**4 + 8*q**3/3 - 2*q**2 - 4*q - 11. Let s(t) = 0. What is t?
-1, 1
Let k = -4 - -7. Let a be 5/25 + 1/(5/(-1)). Factor -k*v**4 - v**2 + v**4 + 2*v**3 + a*v**3 - 2*v + 3*v**2.
-2*v*(v - 1)**2*(v + 1)
Let f(d) = -6*d**2 + 12*d - 6. Let o(m) = 3*m**2 - 6*m + 3. Let b(c) = -3*f(c) - 5*o(c). Factor b(u).
3*(u - 1)**2
Let x be (2 + 4/(-3))*3. Factor -5*g - g + 0*g**4 + 4*g**3 - 2 + 4*g + 4*g**2 - 2*g**4 - x*g**5.
-2*(g - 1)**2*(g + 1)**3
Let v(f) be the first derivative of -10*f**6/3 + 48*f**5/5 - 9*f**4 + 8*f**3/3 - 3. Factor v(r).
-4*r**2*(r - 1)**2*(5*r - 2)
Suppose -i - i = 4*m - 4, 5*i - 4*m = 10. Find k such that -12*k**3 - 2*k - 11*k**2 + 19*k**i + 8*k**4 + k**5 - 3*k**5 = 0.
0, 1
Let s be (9/((-108)/(-16)))/(6 - 4). Let r(v) = v - 4. Let u be r(6). Factor 0 + 0*g**u - s*g**3 + 2/3*g.
-2*g*(g - 1)*(g + 1)/3
Let m be (-2)/(-6) - 10/(-6). Let o = 370/1083 - 3/361. Factor o*h**3 + 1/3*h + 2/3*h**m + 0.
h*(h + 1)**2/3
Factor 2/3*m**5 - 4/3*m - 10/3*m**2 + 2/3*m**4 + 0 - 2*m**3.
2*m*(m - 2)*(m + 1)**3/3
Let f(g) be the second derivative of -1/12*g**2 + 1/18*g**3 - 1/72*g**4 + 0 - 7*g. Factor f(k).
-(k - 1)**2/6
Let h(x) be the second derivative of -1/63*x**7 + 0*x**3 + 1/15*x**6 + 0*x**2 - 2*x + 0 - 1/10*x**5 + 1/18*x**4. Let h(t) = 0. Calculate t.
0, 1
Factor -9*g**2 + 4*g**2 + 0*g - 4*g - g + 10.
-5*(g - 1)*(g + 2)
Let w(g) = g**3 - 6*g**2 + 8*g + 4. Let x be w(4). Let t = 1 - 1. Solve t + 1 + n**x + 3*n**2 - 5*n**2 = 0 for n.
-1, 1
Let m(t) = t**2 + 11*t + 1. Let d be m(-11). Let x be (d/1)/(3 + 0). Factor -x - 1/3*l**4 - 1/3*l - 1/3*l**5 + 2/3*l**2 + 2/3*l**3.
-(l - 1)**2*(l + 1)**3/3
Let m = 852/3031 + 2/433. Find f, given that 0 - 6/7*f**3 - 6/7*f**2 - m*f - 2/7*f**4 = 0.
-1, 0
Let l(p) be the first derivative of -4*p**6/3 - 28*p**5/5 - 8*p**4 - 8*p**3/3 + 4*p**2 + 4*p - 19. What is f in l(f) = 0?
-1, 1/2
Find z, given that -19*z**2 + 61*z**3 + 24*z - 25*z**2 - 45*z**3 = 0.
0, 3/4, 2
Let q(j) be the first derivative of -j**5/5 - j**4/2 + j**2 + j - 1. Let q(x) = 0. What is x?
-1, 1
Let a(r) be the second derivative of r**6/10 + 3*r**5/5 + 5*r**4/4 + r**3 + 13*r. Find g, given that a(g) = 0.
-2, -1, 0
Let w be (-216)/(-28) - 4/(-14). Factor 2*s**5 - 4*s**5 + w*s**3 - 6*s**3.
-2*s**3*(s - 1)*(s + 1)
Suppose 3 = 3*i + 3. Determine d, given that i*d - 2/3*d**2 + 0 = 0.
0
Let l(f) be the first derivative of 0*f + 0*f**2 - 4 + 1/15*f**5 - 1/9*f**3 + 0*f**4. Factor l(o).
o**2*(o - 1)*(o + 1)/3
Let u(s) be the third derivative of -s**6/180 - s**5/10 - 3*s**4/4 + s**3 - 3*s**2. Let d(v) be the first derivative of u(v). Factor d(x).
-2*(x + 3)**2
Let h be ((-11)/(-55))/((-2)/18). Let i = -3/10 - h. Suppose -3*l**5 + 27/4*l**3 + 0*l - i*l**2 - 9/4*l**4 + 0 = 0. Calculate l.
-2, 0, 1/4, 1
Factor -3/2*q + 0*q**2 + 1/2*q**3 + 1.
(q - 1)**2*(q + 2)/2
Let k = -5 + 7. Factor -2*t**2 + 19*t + t**2 - 16*t - k.
-(t - 2)*(t - 1)
Let p be (3/((-126)/4))/(96/(-56)). Let u(a) be the second derivative of 2*a + 1/60*a**5 + 1/90*a**6 + 0*a**2 - 1/36*a**4 + 0 - p*a**3. Let u(c) = 0. What is c?
-1, 0, 1
Determine r so that 0 + 1/5*r**2 - 3/5*r = 0.
0, 3
Let h(i) = -25*i**4 + 21*i**3 + 29*i**2 + i - 15. Let s(q) = -q**4 + q**3 + q**2 + q - 1. Let f(m) = 2*h(m) - 22*s(m). Let f(w) = 0. Calculate w.
-1, -2/7, 1
Let g(b) = -b - 9. Let j be g(-5). Let i be 2/j*(-16)/2. Factor -1/4*q**i + 0*q + 0*q**3 + 0 + 1/4*q**2.
-q**2*(q - 1)*(q + 1)/4
Let j(b) = b**2 - b - 1. Let p(g) = -6*g**2 + 57*g - 240. Let d(i) = -3*j(i) - p(i). Factor d(z).
3*(z - 9)**2
Factor 1/2*x**4 - 1/4*x**3 + 0 + 0*x + 0*x**2 - 1/4*x**5.
-x**3*(x - 1)**2/4
Let s(x) be the first derivative of -x**3/2 + 3*x**2/4 - 4. What is h in s(h) = 0?
0, 1
Let v(x) be the first derivative of 1 + 1/4*x**4 + x**2 + 0*x + x**3. Factor v(j).
j*(j + 1)*(j + 2)
Let v(f) be the third derivative of 49*f**6/40 - 273*f**5/20 + 18*f**4 - 10*f**3 - 26*f**2. Factor v(c).
3*(c - 5)*(7*c - 2)**2
Let 6*y + 8*y**2 - 12*y - 5*y**2 + 3 = 0. Calculate y.
1
Suppose 0 = y - 5, -5*q + 2*y = 3*y - 15. Let b = -39/20 + 11/5. Find p, given that b*p + 0 + 1/4*p**q = 0.
-1, 0
Let s(a) be the second derivative of a**9/1008 + a**8/280 - a**6/60 - a**5/40 + 7*a**3/6 + 3*a. Let g(m) be the second derivative of s(m). Factor g(n).
3*n*(n - 1)*(n + 1)**3
Let a = -16 - -4. Let b be (-8)/a + 3 + -3. Suppose -4/3*p**3 + 2/3*p**5 - b*p**4 + 2/3*p - 2/3 + 4/3*p**2 = 0. Calculate p.
-1, 1
Let u(b) be the third derivative of b**8/336 - b**7/630 - b**6/180 - 3*b**2. Let u(a) = 0. What is a?
-2/3, 0, 1
Let f be ((0 + 1)*-6)/(-155 + 153). Determine h, given that 4/5*h**2 - 2/5*h - 4/5 + 2/5*h**f = 0.
-2, -1, 1
What is d in -10 + 5*d**4 + 44*d**3 + 5*d**2 - 15*d - 29*d**3 + 0*d**2 = 0?
-2, -1, 1
Let b(k) be the third derivative of k**9/37800 + k**8/8400 + k**7/6300 - k**4/8 + 2*k**2. Let o(t) be the second derivative of b(t). Factor o(v).
2*v**2*(v + 1)**2/5
Find f, given that 2 - 21*f + 4*f**2 + 4*f**3 + 17*f - 6 = 0.
-1, 1
Let y(a) be the second derivative of 7*a**4/48 - 3*a**3/8 + a**2/4 - 28*a. Solve y(f) = 0.
2/7, 1
Let j(a) be the first derivative of -a**5/15 + a**4/6 + a**3/3 - 2*a**2/3 - 4*a/3 - 24. Factor j(i).
-(i - 2)**2*(i + 1)**2/3
Let k(w) be the second derivative of -w**4/78 - w**3/39 - 4*w. Factor k(g).
-2*g*(g + 1)/13
Suppose -9*q - 56 = -2*q. Let n(z) = -z**2 - 6*z + 18. Let g be n(q). Factor -1/2*k**3 - 1/4*k**g + 0*k + 0 - 1/4*k**4.
-k**2*(k + 1)**2/4
Let w(l) be the first