 w be x(7). Suppose 9 = -4*o - 4*m + 21, w = 4*o + m - 9. Factor 2/9*n**4 + 0*n**o - 2/9 - 4/9*n**3 + 4/9*n.
2*(n - 1)**3*(n + 1)/9
Let -1/2*n**4 + 0 + 1/4*n + 5/4*n**3 - n**2 = 0. What is n?
0, 1/2, 1
Suppose -5*a = -a - 64. Suppose 2*o = 6*o - a. Factor -3*k - k**2 + 2 + o*k**2 - 2*k**2.
(k - 2)*(k - 1)
Let w(y) be the second derivative of -4*y - 1/12*y**4 - 1/15*y**3 - 1/25*y**5 - 1/150*y**6 + 0*y**2 + 0. Factor w(v).
-v*(v + 1)**2*(v + 2)/5
Let r = -200 - -284. Let w be (-16)/(-6)*r/16. Factor -14 + t**2 - t**3 + w.
-t**2*(t - 1)
Let g(w) = 2*w**2 + 2*w. Let t be g(-2). Let f be (1 + 2/(-4))*t. Determine u so that 2/3*u**3 + 0 + 2/3*u - 4/3*u**f = 0.
0, 1
Let v(o) be the second derivative of 2*o**6/15 + 3*o**5/5 + 2*o**4/3 - o + 25. Determine d so that v(d) = 0.
-2, -1, 0
Let n(d) = -7*d**2 + 8*d + 4. Let a(z) = -z**2 - z + 1. Let t(i) = -4*a(i) + n(i). Factor t(s).
-3*s*(s - 4)
Let y(h) be the third derivative of h**8/84 - h**6/15 + h**4/6 - 3*h**2. Factor y(p).
4*p*(p - 1)**2*(p + 1)**2
Let k(t) = -9*t**4 - 11*t**3 - 6*t**2 - 4. Let w(j) = 10*j**4 + 10*j**3 + 5*j**2 + 5. Let f(c) = -5*k(c) - 4*w(c). Factor f(p).
5*p**2*(p + 1)*(p + 2)
Let s be 4*3*(-1 + 0). Let o be (-1)/(-2) - s/8. Let 1 + 3*h**2 - h - 5*h**o + 0 = 0. Calculate h.
-1, 1/2
Let f be (28 + 0)/7 + -2. Factor 4/3*l**f + 4 - 16/3*l.
4*(l - 3)*(l - 1)/3
Let a(y) be the second derivative of -5*y**7/42 - 19*y. Factor a(g).
-5*g**5
Suppose 0 = -4*w + 8, 0*w - 34 = -3*y - 5*w. Let z be y/(-32) - 22/(-24). Let z*f**3 + 8/3 + 10/3*f**2 + 16/3*f = 0. What is f?
-2, -1
Let h(z) be the second derivative of -z**6/30 - z**5/20 - 7*z. Factor h(l).
-l**3*(l + 1)
Let l(d) = 9*d**3 - 2 + 4 - 1 + 6*d - 5*d**4 - 17*d**2. Let h(k) = -k**4 - k**2 - k + 1. Let i(a) = 3*h(a) - l(a). Factor i(j).
(j - 2)*(j - 1)**2*(2*j - 1)
Suppose 5*y - 22 = -4*o + 9, -3 = -y. Factor o*m**3 - 2 + m - 5*m**3 + 2*m.
-(m - 1)**2*(m + 2)
Factor -2 - 7 + 5*t**2 - 5*t - 1.
5*(t - 2)*(t + 1)
Let k be (-2)/(-4) + (-1)/(-10). Find x, given that 6/5*x**4 + 0 - k*x + 0*x**2 + 9/5*x**3 = 0.
-1, 0, 1/2
Let y(u) be the third derivative of -2*u**7/3 + 43*u**6/24 - 17*u**5/12 + 5*u**4/12 + 31*u**2. Solve y(q) = 0.
0, 1/4, 2/7, 1
Factor 0 - 9/5*r - 3/5*r**2.
-3*r*(r + 3)/5
Let n be ((-10)/(-4) + -4)/(-3). Suppose 4*o - 1 = 7. Suppose -t + n*t**o + 1/2 = 0. Calculate t.
1
Let m(o) = -o**4 + 53*o**3 - 89*o**2 + 55*o - 26. Let t(c) = 18*c**3 - 30*c**2 + 18*c - 9. Let g(a) = -3*m(a) + 8*t(a). Suppose g(j) = 0. Calculate j.
1, 2
Let m(b) be the second derivative of b**5/30 - 7*b**4/6 + 49*b**3/3 - 343*b**2/3 - 20*b. Suppose m(s) = 0. Calculate s.
7
Let q = 23/187 + 1/17. Factor -2/11*c**3 - q*c + 0 - 4/11*c**2.
-2*c*(c + 1)**2/11
Let m(f) be the second derivative of -f**7/105 - f**6/15 - 2*f**5/15 + f**2 - 2*f. Let g(l) be the first derivative of m(l). Suppose g(p) = 0. What is p?
-2, 0
Let w = -9691/15 - -647. Let n = w - 4/15. Find f, given that -2/3 + 2*f - 2*f**2 + n*f**3 = 0.
1
Let b(h) be the first derivative of 2*h**5/5 + 2*h**4 - 1. Find w such that b(w) = 0.
-4, 0
Let f = -31 - -31. Let x(k) be the second derivative of 1/10*k**2 + f - 1/60*k**4 - 2*k + 0*k**3. Factor x(d).
-(d - 1)*(d + 1)/5
Let s(g) be the first derivative of 3 - 1/2*g**4 - 1/3*g**3 + 0*g + 0*g**2 - 1/5*g**5. Find o, given that s(o) = 0.
-1, 0
Let m(a) be the first derivative of -1/2*a**2 + 1/3*a - 2 + 1/3*a**3 - 1/12*a**4. Factor m(l).
-(l - 1)**3/3
Let w(o) = -3*o**3 - 2*o**2 + 1. Let h be w(-1). Let c be (h/12)/((-1)/(-9)). Factor 5/4*t**4 + 2*t + 0 - t**2 - c*t**3 - 1/4*t**5.
-t*(t - 2)**3*(t + 1)/4
Let g be (-2 + 3)*2/12. Let s(i) be the second derivative of -g*i**3 - 1/12*i**4 + i**2 + 0 - 2*i. Let s(a) = 0. Calculate a.
-2, 1
Let p = -616 - -4322/7. Let p*w + 4/7 + 8/7*w**2 + 2/7*w**3 = 0. Calculate w.
-2, -1
Let q = 4 - 2. Determine i so that -i**2 + 4 - i**2 + 0*i**2 - q*i = 0.
-2, 1
Let c(v) be the second derivative of v**7/105 + v**6/75 - v**5/25 - v**4/15 + v**3/15 + v**2/5 - 22*v. Solve c(t) = 0 for t.
-1, 1
Let w(u) be the third derivative of u**9/60480 - u**7/1680 + u**6/360 + u**5/60 + 4*u**2. Let g(h) be the third derivative of w(h). Factor g(j).
(j - 1)**2*(j + 2)
Suppose -3*q = h - 3, -h - 3*h + 1 = q. Let s(p) be the first derivative of 0*p + 0*p**3 + 3/5*p**5 + h*p**2 + 1/4*p**4 + 2. Solve s(y) = 0 for y.
-1/3, 0
Let o(u) be the second derivative of u**6/105 - u**4/14 - 2*u**3/21 - 2*u. Factor o(g).
2*g*(g - 2)*(g + 1)**2/7
Let s(y) = 2*y**3 + 8*y**2 + 2*y. Let f(v) = v**3 + 8*v**2 + v. Let i(g) = -6*f(g) + 5*s(g). Factor i(x).
4*x*(x - 1)**2
Let g(h) = -h**3 + 5*h**2 - 6*h + 2. Let n be g(2). Factor -3/4 + w - 1/4*w**n.
-(w - 3)*(w - 1)/4
Let 2/5*i**5 - 16/5 - 76/5*i**2 + 56/5*i + 10*i**3 - 16/5*i**4 = 0. Calculate i.
1, 2
Let s(f) = f**2. Let i be s(-2). Factor -2*k**3 - k + i*k - k.
-2*k*(k - 1)*(k + 1)
Let w(f) be the third derivative of -25*f**8/2856 - 2*f**7/119 + 11*f**6/1020 + 2*f**5/85 - f**4/51 - f**2. Solve w(s) = 0 for s.
-1, 0, 2/5
Let k be -5 - (-440)/75 - 1/5. Let k*z**2 + 7/3*z**5 - 7/3*z**3 + 0 - 2/3*z**4 + 0*z = 0. What is z?
-1, 0, 2/7, 1
What is s in -3*s + 0*s - 2*s**4 + 200*s**3 - 209*s**3 - 10*s**2 = 0?
-3, -1, -1/2, 0
Let h(c) = 13*c**3 + 16*c**2 + 3*c. Let m(o) = -3*o**3 - 4*o**2 - o. Let z(p) = -4*h(p) - 18*m(p). Factor z(b).
2*b*(b + 1)*(b + 3)
Let d = -2/839 - -5056/9229. Factor -2/11*b**4 + 6/11*b**3 + 0 + 2/11*b - d*b**2.
-2*b*(b - 1)**3/11
Suppose -15 = 6*q - q. Let s(k) = k**2. Let l(f) = 2*f**4 - 2*f**3 + f**2 + 2*f. Let r(n) = q*s(n) + l(n). Factor r(d).
2*d*(d - 1)**2*(d + 1)
Let d(r) = 16*r**2 - 43*r + 5. Let v = 1 - -3. Let i(g) = -81*g**2 + 216*g - 24. Let j(x) = v*i(x) + 21*d(x). Let j(t) = 0. What is t?
1/4, 3
Let a(j) be the first derivative of j**5 - 5*j**3/3 - 13. Factor a(m).
5*m**2*(m - 1)*(m + 1)
Suppose r + 4*r = 0. Find h such that -2*h**3 + 0*h - 3*h**2 + 2*h + r*h**2 + 4 - h**2 = 0.
-2, -1, 1
Let x(i) be the third derivative of -7*i**6/360 - i**5/10 + i**4/6 + i**3/2 - 2*i**2. Let c(q) be the first derivative of x(q). Determine w so that c(w) = 0.
-2, 2/7
Let r(q) = -q - 8. Let a be r(-10). Suppose 0*z = z - a. Solve 2/5 - 4/5*p + 2/5*p**z = 0.
1
Factor 163 - 163 + 4*x + 4*x**2.
4*x*(x + 1)
Suppose 5*r - 6 = 4. Suppose n + r*n - 12 = 0. Suppose -2*d**n + 3*d**2 + 4*d**3 + 2*d**5 - 6*d + 2 + d**2 - 4*d**4 = 0. Calculate d.
-1, 1
Factor 4/9*v**2 + 2/9*v + 2/9*v**3 + 0.
2*v*(v + 1)**2/9
Let l = 172 + -168. Factor 0 - 6/5*w**3 + 2/5*w**l + 6/5*w**2 - 2/5*w.
2*w*(w - 1)**3/5
Let h(o) be the third derivative of o**8/560 - o**6/120 + o**3/2 - o**2. Let v(c) be the first derivative of h(c). Determine b so that v(b) = 0.
-1, 0, 1
Factor 0*y + 1/4*y**2 - 1/4.
(y - 1)*(y + 1)/4
Let g(c) be the first derivative of 0*c - 1/21*c**6 + 3/14*c**4 + 0*c**5 - 4 + 0*c**2 - 4/21*c**3. Factor g(j).
-2*j**2*(j - 1)**2*(j + 2)/7
Let b(f) be the first derivative of 1/5*f**5 + 0*f**2 + 0*f - 1/3*f**3 - 6 + 0*f**4. Factor b(s).
s**2*(s - 1)*(s + 1)
Let h = 3 + 0. Let a(k) be the first derivative of 0*k**2 + 1/4*k**4 + 0*k - 2/3*k**3 - h. Suppose a(l) = 0. Calculate l.
0, 2
Let u be 3/(-3) - (-6 - -4) - -3. Determine g, given that 31*g**3 + 2 - 6*g - 31/2*g**2 - 10*g**5 - 3/2*g**u = 0.
-2, -2/5, 1/4, 1
Let h(v) be the second derivative of v**4/12 + 5*v**3/6 - v - 26. Factor h(w).
w*(w + 5)
Let o(r) = r + 1. Let s(y) = 2*y - 1. Let f(l) = -3*o(l) + s(l). Let u be f(-4). Suppose u*b + 2/5 - 2/5*b**2 = 0. Calculate b.
-1, 1
Suppose -2*z + 8 = -2*o, -3*o + 20 = 2*z - 8*o. Suppose -n - g - 3 + 2 = z, 2*n = 3*g + 13. Suppose 1/4*c**3 + 0 + 0*c**n - 1/4*c = 0. Calculate c.
-1, 0, 1
Let f(t) = 5*t**2 + 2 - 7*t - 2 + 1 - 4*t**2. Let u(w) = -5*w**2 + 41*w - 5. Let j(x) = 34*f(x) + 6*u(x). Let j(h) = 0. Calculate h.
-1
Determine y, given that -y**2 + 1/2 + 0*y**3 + 0*y + 1/2*y**4 = 0.
-1, 1
Let o(f) = 31*f**4 - 24*f**3 + 11*f**2 + 6. Let l(i) = 61*i**4 - 49*i**3 + 21*i**2 + 11. Let c(z) = 6*l(z) - 11*o(z). Let c(y) = 0. What is y?
0, 1/5, 1
Let h = -147 + 149. Factor 0*i**4 - i**3 + 1/2*i + 1/2*i**5 + 0 + 0*i**h.
i*(i - 1)**2*(i + 1)**2/2
Suppose -2*x + 6 = 4*m - 0*x, 9 = m - x. Solve 0 + 0*s - 1/3*s**m - 1/3*s**3 + 0*s**2 = 0.
-1, 0
Let s(h) be the first derivative of -4*h**3/21 + 2*h**2/7 + 8*h/7 + 1. Factor s(q).
-4*(q