) be the first derivative of -w**6/60 - w**5/50 + w**4/40 + w**3/30 - 5. Factor n(l).
-l**2*(l - 1)*(l + 1)**2/10
Factor 318*t**2 - 632*t**2 + 313*t**2 - t.
-t*(t + 1)
Suppose -3*w + q + 15 = -0*q, -17 = -5*w - q. Factor 2/5*z**5 - 4/5*z**2 + 6/5*z**w + 4/5*z**3 - 2/5 - 6/5*z.
2*(z - 1)*(z + 1)**4/5
Let x = -115/3 - -39. Let g(b) be the first derivative of x*b**4 + 2 + 0*b + 0*b**2 - 2/5*b**5 - 2/9*b**3. Factor g(n).
-2*n**2*(n - 1)*(3*n - 1)/3
Factor -6/5*d**2 + 0 + 2/5*d**4 - 4/5*d**3 + 0*d.
2*d**2*(d - 3)*(d + 1)/5
Let a(b) be the first derivative of 20/9*b**3 + 16/3*b**5 + 11/2*b**4 + 5 + 16/9*b**6 + 0*b + 1/3*b**2. Factor a(j).
2*j*(j + 1)**2*(4*j + 1)**2/3
Let i be 6*-1 - 297/(-44). Factor d + i + 1/4*d**2.
(d + 1)*(d + 3)/4
Let d(f) be the third derivative of 121/50*f**5 + 3*f**2 + 4/15*f**3 + 0 + 11/10*f**4 + 1331/600*f**6 + 0*f. Factor d(r).
(11*r + 2)**3/5
Suppose 2*k - 47 = -5*h - 0*k, 5 = h - 4*k. Let a be ((-3)/h)/((-1)/1). Solve -a*s**3 - 2/3*s**2 + 0 - 1/3*s = 0.
-1, 0
Let k(a) = -6*a**4 + 3*a**3 + 3*a**2 - 3*a + 3. Let s(c) = -c**5 + 12*c**4 - 6*c**3 - 5*c**2 + 5*c - 5. Let j(r) = 5*k(r) + 3*s(r). Factor j(m).
-3*m**3*(m - 1)**2
Let b(x) be the first derivative of x**5/15 + x**4/6 - x**2/3 - x/3 + 13. Factor b(m).
(m - 1)*(m + 1)**3/3
Let v(d) = -d**3 - d**2 + d. Let b be v(-2). Let x(s) be the first derivative of 4/3*s + 1/9*s**3 - 2/3*s**b - 1. Factor x(u).
(u - 2)**2/3
Factor 0 - 2/5*a**2 + 1/5*a + 1/5*a**3.
a*(a - 1)**2/5
Factor 0 - 3/7*w**2 + 0*w.
-3*w**2/7
Let w(d) be the third derivative of -d**6/840 - d**5/70 - d**4/14 - 4*d**3/21 + 10*d**2. Factor w(a).
-(a + 2)**3/7
Let n(l) be the third derivative of -l**5/30 - l**4/3 - 4*l**3/3 - 5*l**2. Solve n(u) = 0.
-2
Let m(z) = -z**4 + 2*z**3 + 2*z**2 - 2*z. Let f(b) = b**4 - b**2 + b. Let w(o) = -2*f(o) - m(o). Factor w(j).
-j**3*(j + 2)
Suppose -3*z = -6*z + 9. Determine m so that m**5 + 2*m**2 + m - m**4 - 1 + m**3 + 0*m**3 - 3*m**z = 0.
-1, 1
Let x be ((-2)/(-28))/((-42)/(-147)). Find b such that 0*b**2 + 1/4*b**3 + 0 + 0*b + x*b**4 = 0.
-1, 0
Factor 3 - 27/8*v**2 - 51/4*v.
-3*(v + 4)*(9*v - 2)/8
Let v = 53 - 50. Solve -o + 0 + 1/2*o**2 + 1/2*o**v = 0.
-2, 0, 1
Let i(m) be the second derivative of m**5/8 - 5*m**4/24 - 5*m**3/3 + 5*m**2 - 7*m. Factor i(x).
5*(x - 2)*(x - 1)*(x + 2)/2
Let r(p) = -7*p**3 + 0 - 19*p + 13*p**2 + 1 + 12. Let d(w) = -w**3 + 2*w**2 - 3*w + 2. Let o(l) = -39*d(l) + 6*r(l). Find n, given that o(n) = 0.
-1, 0, 1
Let m(k) be the third derivative of k**8/4200 - k**7/6300 - 2*k**6/225 + k**5/75 + k**4/12 - 4*k**2. Let w(n) be the second derivative of m(n). Factor w(a).
2*(a - 2)*(a + 2)*(4*a - 1)/5
Determine u, given that 2*u**4 + 0 - 2*u**3 + 2/3*u**2 - 2/3*u**5 + 0*u = 0.
0, 1
Let l(k) be the third derivative of -k**7/2205 + k**6/504 - k**5/420 - k**4/6 + 3*k**2. Let c(x) be the second derivative of l(x). Let c(g) = 0. Calculate g.
1/4, 1
Let s = -198 - -795/4. Factor s*o**3 + 0*o + 1/4*o**2 + 0 + 1/4*o**5 + 3/4*o**4.
o**2*(o + 1)**3/4
Suppose n - 3 + 0 = 0. Factor i**2 - 6*i**3 + n*i**3 + 2*i**3.
-i**2*(i - 1)
Let w(f) be the first derivative of 4*f**5/5 - f**4 - 4*f**3/3 + 2*f**2 - 28. Find d such that w(d) = 0.
-1, 0, 1
Let g(q) be the first derivative of 0*q**6 - 1/525*q**7 + 0*q**3 - 1 + 1/150*q**5 + 0*q**4 + 0*q - q**2. Let t(i) be the second derivative of g(i). Factor t(m).
-2*m**2*(m - 1)*(m + 1)/5
Let r(q) = -6*q**5 + 14*q**4 + 8*q**3. Let n(g) = -2*g**5 + 5*g**4 + 3*g**3. Let v(b) = 8*n(b) - 3*r(b). Factor v(j).
2*j**4*(j - 1)
Suppose -3*l + 4 + 2 = 0. Factor -2 - 2*u**3 - u**4 + u**2 - u + l + 3*u.
-u*(u - 1)*(u + 1)*(u + 2)
Let y(i) = i. Let x be (-1 + 7)*(-6)/(-18). Let h be y(x). Determine j, given that j**3 + 5 - 3 - 2*j**h - 2 = 0.
0, 2
Let p(l) be the second derivative of 3/10*l**5 - 27/4*l**4 + 9/10*l**6 - 6*l**2 + 0 + 2*l - 12*l**3. Factor p(s).
3*(s - 2)*(s + 1)**2*(9*s + 2)
Let m(z) = z**2 + 1. Let h(v) = v**2 - 9*v - 4. Let t(j) = -6*j**2 - 6 - 7*j + 3*j + j**3 + 2*j**2. Let q be t(5). Let u(d) = q*h(d) - 6*m(d). Factor u(l).
-(l - 1)*(7*l - 2)
Suppose -u = n + u - 9, -15 = -3*n - 2*u. Let 6*j + 8/3*j**4 - 4/3 - 6*j**n - 4/3*j**2 = 0. Calculate j.
-1, 1/4, 1, 2
Let w(q) be the second derivative of q**7/441 + 2*q**6/315 - q**4/63 - q**3/63 + 12*q. Let w(f) = 0. Calculate f.
-1, 0, 1
Let o(m) be the first derivative of 5 + 1/27*m**6 - 1/18*m**4 + 0*m**3 + 0*m**2 + 0*m + 0*m**5. Suppose o(d) = 0. Calculate d.
-1, 0, 1
Suppose 6 = 13*x - 10*x. Factor -30*d**4 - 2*d + 3*d**2 + x*d + 27*d**4.
-3*d**2*(d - 1)*(d + 1)
Let x(a) be the first derivative of 1/3*a**2 + 2/3*a + 6 + 1/18*a**3. Factor x(v).
(v + 2)**2/6
Let a(w) be the second derivative of 1/10*w**5 + 0 + 0*w**3 + 0*w**2 - 3*w + 1/6*w**4. Let a(y) = 0. What is y?
-1, 0
Let b(r) = r**4 + r**3 + 1. Let i(w) = -w**2 - w**2 + 0*w**3 + 3*w**4 + 3*w**3 + 5 + 6*w**3. Let c(u) = -5*b(u) + i(u). Factor c(t).
-2*t**2*(t - 1)**2
Determine a so that 5*a**4 - 8*a**4 - a**3 + 6*a**3 - 2*a**3 = 0.
0, 1
Factor -20*n**2 + 21*n**2 - 3*n**4 + 2*n**4.
-n**2*(n - 1)*(n + 1)
Suppose 0 = -2*t - 3*b - 3, t - 5*b = 4*t + 6. Let n be 4*t/(-18) - -2. Factor 1/3 - 4/3*a**3 + 1/3*a**4 + 2*a**2 - n*a.
(a - 1)**4/3
Let i(u) be the third derivative of u**7/210 + u**6/120 - u**5/12 + u**4/8 - 18*u**2. Factor i(t).
t*(t - 1)**2*(t + 3)
Let m(k) be the second derivative of -k**4/66 + 4*k**3/33 - 3*k**2/11 - 2*k. Suppose m(b) = 0. Calculate b.
1, 3
Let f(z) be the second derivative of -z**7/945 + z**5/90 + z**4/54 + z**2/2 + 4*z. Let d(a) be the first derivative of f(a). Suppose d(o) = 0. What is o?
-1, 0, 2
Let m(r) be the third derivative of -r**6/180 - r**5/30 + r**4/36 + r**3/3 + 14*r**2. Determine l, given that m(l) = 0.
-3, -1, 1
Let s(j) be the third derivative of j**6/240 + j**5/40 - j**3/3 - 7*j**2. Factor s(f).
(f - 1)*(f + 2)**2/2
Suppose 24*d - 30*d = -12. Factor 2/3 - 1/3*l**d - 1/3*l.
-(l - 1)*(l + 2)/3
Suppose -4*p + 56 = 3*p. Suppose 2*u = p*u - 18. Factor 0*c + 0 - 1/6*c**2 - 1/6*c**u.
-c**2*(c + 1)/6
Suppose -4 + 16 = 12*l. Factor l + 5/2*d - 7/2*d**2.
-(d - 1)*(7*d + 2)/2
Let x(i) be the second derivative of -4*i**6/15 - i**5/5 + i**4/3 + 4*i. Find n, given that x(n) = 0.
-1, 0, 1/2
Suppose -124 = -180*p + 149*p. Determine b, given that 2/3*b**p - 44/15*b**3 - 8/3*b + 8/15 + 22/5*b**2 = 0.
2/5, 1, 2
Let h(v) be the second derivative of -v**6/1260 + v**4/84 - 3*v**3/2 - 5*v. Let q(r) be the second derivative of h(r). Solve q(x) = 0 for x.
-1, 1
Let q(s) be the second derivative of 2*s**7/21 + 4*s**6/15 - s**5/5 - 2*s**4/3 + 3*s. Factor q(v).
4*v**2*(v - 1)*(v + 1)*(v + 2)
Let l be (-12)/(-32) - (-39)/24. Suppose 0 - 2/11*h + 2/11*h**3 + 0*h**l = 0. What is h?
-1, 0, 1
Let c(k) be the first derivative of -1 - 1/4*k**4 + 0*k - 1/10*k**5 + 0*k**2 - 1/6*k**3. Factor c(i).
-i**2*(i + 1)**2/2
Suppose 3*q - 4 = -2*t - 2*t, 4*t + 4 = -2*q. Suppose -3*o = 2*o, o - q = -4*m. Factor 1/3*i**3 - 1/3*i**5 + 0 + 1/3*i**4 - 1/3*i**m + 0*i.
-i**2*(i - 1)**2*(i + 1)/3
Factor 0*k**5 - 204*k - k**4 + k**5 + 0*k**3 - 3*k**3 + 5*k**2 + 202*k.
k*(k - 1)**3*(k + 2)
Let b be 18/(-4)*(20/(-6))/5. Let x(n) be the first derivative of 2/9*n**b + 4/3*n + 2 - n**2. Determine f, given that x(f) = 0.
1, 2
Factor 21/5*y**4 + 0*y**2 + 0 - 6/5*y**3 + 0*y - 3*y**5.
-3*y**3*(y - 1)*(5*y - 2)/5
Let z be (2/(-7))/(10/(-14)). Solve 6/5*o**3 + 6/5*o**2 + 2/5*o + z*o**4 + 0 = 0 for o.
-1, 0
Suppose -n + 56 = 3*n. Let d be 7/n + (-5)/(-2). Determine w so that 2*w + 3 - 2*w**2 + 0 - d = 0.
0, 1
Let z = 7474/5 - 1501. Let k = 103/15 + z. Factor -2/3*h + k*h**2 + 0.
2*h*(h - 1)/3
Suppose 4*i = -i + m + 2, 15 = 5*m. Let a be (-3)/15 + 0 + i. Factor 0 + 8/5*w**3 - 2/5*w**4 - 2*w**2 + a*w.
-2*w*(w - 2)*(w - 1)**2/5
Let k(g) be the first derivative of -3*g**5/10 + 3*g**4/8 + g**3 - 13. Determine i so that k(i) = 0.
-1, 0, 2
Let q be 1*(-3 + 0 - -23). Let d = 20 - q. What is c in d + c**3 - 1/3*c - 2/3*c**2 = 0?
-1/3, 0, 1
Let m(c) be the second derivative of 0 + 8*c + 8*c**2 + 1/12*c**4 + 4/3*c**3. Solve m(j) = 0 for j.
-4
Let u = 39/14 - 583/210. Let w(g) be the third derivative of 0*g + 1/30*g**5 - 1/168*g**8 + 0 + 0*g**4 + 1/60*g**6 - u*g**7 + g**2 + 0*g**3. Factor w(b).
-2*b**2*(b - 1)*(b + 1)**2
Let i(l) be the first derivative of l**8/