 m(b) be the first derivative of -b**8/1848 + b**6/330 - b**4/132 + 3*b**2/2 + 5. Let q(i) be the second derivative of m(i). Factor q(z).
-2*z*(z - 1)**2*(z + 1)**2/11
Let u(j) = 2*j**2 + j - 4. Let q be u(-2). Find c, given that -4/9 + 14/9*c - q*c**2 - 2/9*c**4 + 10/9*c**3 = 0.
1, 2
Let -2/21*b**4 - 2/21*b**2 + 0 + 0*b + 4/21*b**3 = 0. Calculate b.
0, 1
Factor 4/3*p**4 + 0 - 11/3*p**3 + 10/3*p**2 - p.
p*(p - 1)**2*(4*p - 3)/3
Determine u so that -6*u**3 - 7*u**3 + 14*u**3 - u = 0.
-1, 0, 1
Let q be ((-8)/(-40))/(2/4). Let p(b) be the first derivative of -2/5*b**2 - 2/25*b**5 + 1/5*b**4 + 0*b**3 - 3 + q*b. Factor p(o).
-2*(o - 1)**3*(o + 1)/5
Let j be (-63)/(-6)*12/7. Let -18 + 23*i + 7*i - j*i**2 + 4*i**2 + 2*i**3 = 0. Calculate i.
1, 3
Let z be 4/4 - -1*1. Factor 4*j - 5*j - z*j + j**2 + 4*j.
j*(j + 1)
Suppose -5*l + l + 24 = 0. Let y(v) be the second derivative of 0 + 0*v**2 + 0*v**4 - 1/30*v**l + 0*v**3 - 3*v + 1/20*v**5. Determine s, given that y(s) = 0.
0, 1
Solve 0 + 1/3*g**2 + 1/2*g**4 + 5/6*g**3 + 0*g = 0.
-1, -2/3, 0
Let x(b) be the second derivative of 1/6*b**7 + 0 - 3/4*b**4 + 0*b**2 - 1/3*b**3 + 3/10*b**6 - 1/4*b**5 + 2*b. Factor x(g).
g*(g - 1)*(g + 1)**2*(7*g + 2)
Let v(o) = o**2 - 11*o + 12. Let b be v(11). Suppose b = 3*t + 3. Factor 4*w**2 - 25*w + 25*w - 2*w**t.
-2*w**2*(w - 2)
Let i be (-3)/(-15) + (-1)/5. Let q(c) be the second derivative of -2*c + 0*c**2 + 1/150*c**6 + i*c**3 + 0*c**4 + 1/100*c**5 + 0. Factor q(j).
j**3*(j + 1)/5
Let f = -6 + 0. Let h be (-124)/(-44) - f/33. Find a, given that 2/7*a**4 - 2/7*a**h + 0*a**2 + 0 + 0*a = 0.
0, 1
Suppose -4*x - 10 = -26. Suppose 3*u - x*h + 0 = 5, -5*u - 3*h + 18 = 0. Factor -2/3 + 2*q**4 + 2/3*q**5 - 2*q + 4/3*q**u - 4/3*q**2.
2*(q - 1)*(q + 1)**4/3
Let l be 3 - 2*(-9)/(-6). Let z(d) be the third derivative of -1/24*d**4 + 0 + 0*d**3 + l*d - 1/60*d**5 + 4*d**2. Suppose z(t) = 0. Calculate t.
-1, 0
Let d(u) be the second derivative of u**4/2 + u**3/6 - 3*u. Let g(w) = w**2. Let q(r) = -2*d(r) + 10*g(r). Factor q(k).
-2*k*(k + 1)
Let p(o) = 36*o**2 - 168*o + 526. Let t(l) = 5*l**2 - 24*l + 75. Let c(f) = 6*p(f) - 44*t(f). Factor c(z).
-4*(z - 6)**2
Let y(f) be the third derivative of 0*f**3 + 0*f - 1/84*f**4 - 1/140*f**6 - 1/735*f**7 + 0 + 6*f**2 - 1/70*f**5. Find i such that y(i) = 0.
-1, 0
Determine v so that -9*v**2 + 5*v**4 - 54 + 3*v**3 - 15*v - 2*v**4 + 48 = 0.
-1, 2
Suppose -4*b = -5*l + 19, -l = 4*l + 5*b - 10. Let x(w) be the third derivative of -l*w**2 + 0 + 1/30*w**5 + 1/6*w**4 + 0*w**3 + 0*w. Factor x(k).
2*k*(k + 2)
Let z = 2 - -6. Let f(y) = -y + 10. Let b be f(z). Factor -6*s - b*s - 2*s**3 + 13*s**2 - 5*s**2.
-2*s*(s - 2)**2
Let t(k) = -k**3 + 4*k**2 - 4*k - 1. Let i be t(3). Let s be ((-15)/(-10))/((-3)/i). Let -l**3 + 4*l**3 - 2*l**3 + l**s = 0. Calculate l.
-1, 0
Let n(w) = 7*w**2 - 3*w. Let v(k) = -20*k**2 + 14*k. Let g(d) = -20*d**2 + 13*d. Let c(r) = 5*g(r) - 4*v(r). Let t(h) = 4*c(h) + 11*n(h). Factor t(i).
-3*i*(i - 1)
Suppose -5*x**3 + 21*x**3 + 7*x**4 - 12*x**5 - 8*x**2 + 0*x**4 + x**4 - 4*x = 0. Calculate x.
-1, -1/3, 0, 1
Solve 3/8*g**3 + 0*g - 3/8*g**2 - 3/8*g**5 + 0 + 3/8*g**4 = 0 for g.
-1, 0, 1
Let b(n) be the first derivative of n**5/2 + 5*n**4/2 + 5*n**3/2 - 5*n**2 - 10*n - 9. Factor b(y).
5*(y - 1)*(y + 1)*(y + 2)**2/2
Suppose 4*z - y - 15 = 1, -4*z - 5*y = -16. Let c(g) be the first derivative of -2/7*g**3 + 1/14*g**z - 2/7*g - 1 + 3/7*g**2. Factor c(f).
2*(f - 1)**3/7
Let k(t) be the second derivative of 0 + 2/7*t**2 + 3*t - 1/21*t**4 + 0*t**3. Factor k(d).
-4*(d - 1)*(d + 1)/7
Let t(b) be the third derivative of -3*b**2 - 1/35*b**5 - 1/84*b**4 - 11/420*b**6 - 2/245*b**7 + 0*b + 0*b**3 + 0. Let t(u) = 0. Calculate u.
-1, -1/2, -1/3, 0
Let o be (-3)/(-2)*(-1 + 3). Factor 6*a**5 - 2*a**3 + o*a**4 - 3*a**4 - 4*a**5.
2*a**3*(a - 1)*(a + 1)
Let a be 2/3*6/2. Factor -4*o**2 + o + 3*o**4 + 4*o**a - 3*o**2 - o**3.
o*(o - 1)*(o + 1)*(3*o - 1)
Let n(v) be the second derivative of 0 + 0*v**2 + 4*v - 1/30*v**4 + 0*v**3. Solve n(k) = 0.
0
Let c(q) be the third derivative of q**8/1680 - q**7/1050 - q**6/300 + q**5/150 + q**4/120 - q**3/30 + 8*q**2. Factor c(z).
(z - 1)**3*(z + 1)**2/5
Let j be 3/2 - 16/(-32). Let m(f) be the first derivative of -2*f - 3 + 3*f**j - 2*f**3 + 1/2*f**4. Find n such that m(n) = 0.
1
Let w(a) = -4*a**5 + 4*a**4 - 8*a**3 + 2*a**2 + 6*a. Let n(j) = j**5 - j**4 + j**3 - j. Let o(q) = 6*n(q) + w(q). Suppose o(h) = 0. What is h?
-1, 0, 1
Let p(o) be the second derivative of 7*o**4/60 + o**3/15 + 3*o. Factor p(d).
d*(7*d + 2)/5
Let z be 1606/3*(-30)/50. Let q = 323 + z. Determine p, given that 6/5*p**2 + 0*p**4 + 0*p + 0 - q*p**3 + 3/5*p**5 = 0.
-2, 0, 1
Let d(n) be the second derivative of -1/8*n**2 - 1/40*n**5 + 0 + 0*n**4 + 1/12*n**3 + 3*n + 1/120*n**6. Factor d(r).
(r - 1)**3*(r + 1)/4
Let l be 8/(-48) + 38/12. Let v(t) be the second derivative of -4*t + 0 + 1/24*t**l + 0*t**4 - 1/80*t**5 + 0*t**2. Factor v(x).
-x*(x - 1)*(x + 1)/4
Let z be (-1)/(-3)*(4 + 2). Let u be (8/20)/(z/10). Factor -u*g**2 + g + g**2 + 2*g**2.
g*(g + 1)
Let a(b) be the third derivative of b**7/60 + b**6/120 - 7*b**5/120 - b**4/24 + 5*b**2. Solve a(m) = 0.
-1, -2/7, 0, 1
Let r(a) be the first derivative of 7*a**6/6 - 2*a**5/5 - 7*a**4/4 + 2*a**3/3 + 4. Factor r(k).
k**2*(k - 1)*(k + 1)*(7*k - 2)
Suppose -7*h + 3*s = -2*h - 40, 2*h - 2*s - 20 = 0. Suppose 5*b + 3*x - 12 = 0, b - h*x + 0 + 20 = 0. Factor 1/3*c**2 + b + 1/3*c.
c*(c + 1)/3
Let b(x) be the third derivative of -x**10/30240 + x**8/6720 + 5*x**4/24 - 4*x**2. Let n(h) be the second derivative of b(h). Factor n(i).
-i**3*(i - 1)*(i + 1)
Find x, given that -2/13*x + 2/13*x**2 + 2/13*x**3 - 2/13 = 0.
-1, 1
Let u = -8 - -10. Suppose -6 = r - 3*y + 4, -r - u*y = -10. Factor 2/3*o**2 + 4/3 + r*o.
2*(o + 1)*(o + 2)/3
Let l(y) be the first derivative of 0*y + y**3 - 4 - 3/2*y**2. Find o, given that l(o) = 0.
0, 1
Let o(s) be the first derivative of -2*s**5/5 - 5*s**4/2 - 6*s**3 - 7*s**2 - 4*s - 21. Factor o(p).
-2*(p + 1)**3*(p + 2)
Let 0*m**2 + 0*m + 0 + 2/9*m**3 - 2/9*m**4 = 0. Calculate m.
0, 1
Let o(h) be the third derivative of -h**6/60 + h**4/12 + 11*h**2. Factor o(v).
-2*v*(v - 1)*(v + 1)
Suppose -4 = 3*x + 2*m, 5*x - 3*m - 6 = 4*x. Find d, given that x + 0*d - 4/11*d**2 - 2/11*d**3 = 0.
-2, 0
Let f(l) be the third derivative of l**5/210 + 5*l**4/42 + 25*l**3/21 + 43*l**2. Solve f(b) = 0.
-5
Factor -80 + 3*b - 538*b**2 - 43*b + 533*b**2.
-5*(b + 4)**2
Let t = 2130/3703 + -2/529. Let o(l) = -l**3 + 16*l**2 + l - 16. Let r be o(16). Find s such that 6/7*s**2 + t*s + r = 0.
-2/3, 0
Let s(j) = 6*j**2 + 12*j + 3. Let v(o) = -7*o**2 - 13*o - 2. Let r(z) = 4*s(z) + 3*v(z). Factor r(d).
3*(d + 1)*(d + 2)
Let b(w) = w**2 + 24*w + 63. Let c be b(-3). Determine r so that -2/7*r**2 + c + 4/7*r = 0.
0, 2
Suppose -86 = -4*j - 26. Let g = 20 - j. Determine m so that -8/5 - 10*m**4 + 8/5*m**g + 56/5*m - 122/5*m**2 + 116/5*m**3 = 0.
1/4, 1, 2
Let w(s) be the third derivative of s**9/105840 + s**8/47040 - s**7/17640 - s**6/5040 - s**4/4 - 2*s**2. Let a(c) be the second derivative of w(c). Factor a(f).
f*(f - 1)*(f + 1)**2/7
Let m(n) be the third derivative of -n**6/180 + n**5/15 - 5*n**4/36 + 32*n**2. Factor m(g).
-2*g*(g - 5)*(g - 1)/3
Let j(u) be the first derivative of u**7/105 - u**6/30 + u**5/30 + 2*u**2 - 4. Let y(t) be the second derivative of j(t). Factor y(v).
2*v**2*(v - 1)**2
Let o be (1 + 28/(-24))*(-6)/4. Let y(g) be the second derivative of 1/12*g**3 - o*g**2 + 1/24*g**4 + 2*g + 0 - 1/40*g**5. Factor y(l).
-(l - 1)**2*(l + 1)/2
Let y(s) = -s**2. Let n(b) = -b**3 - 2*b**2. Let d be (-3 - -4)/(1 - 0). Let x(c) = d*n(c) - y(c). Factor x(l).
-l**2*(l + 1)
Let k(w) be the second derivative of -w**7/21 + 2*w**6/15 - w**5/10 + 9*w. Suppose k(o) = 0. Calculate o.
0, 1
Suppose t - 50 = -4*t. Suppose 0 = -4*j + 2 + t. Suppose -k**2 - k**2 + j*k**3 + 0*k**2 = 0. What is k?
0, 2/3
Let q(t) = t. Suppose -32 = -5*d - 3*d. Let b(y) = -2*y**4 - 2*y**3 + 2*y**2 + 4*y. Let i(v) = d*q(v) - 2*b(v). Factor i(m).
4*m*(m - 1)*(m + 1)**2
Let f(q) be the third derivative of -2*q**7/105 - q**6/10 + q**5/3 + q**4/2 - 8*q**3/3 - 19*q**2. Factor f(u).
-4*(u - 1)**2*(u + 1)*(u + 4)
Let p be 4/5*(-10)/(-4). Suppose -4*z + 3 = -