 2*g**3.
3*g*(g - 1)*(g + 1)
Let n = -109/138 - -22/23. Let o(z) be the second derivative of 0 - 5*z + 1/5*z**2 + 1/15*z**4 - n*z**3 - 1/100*z**5. Factor o(l).
-(l - 2)*(l - 1)**2/5
Let b(y) be the first derivative of -9*y**3 + 183*y**2/2 + 42*y + 16. Factor b(a).
-3*(a - 7)*(9*a + 2)
Let g(t) = -12*t - 6 - 9*t - 5*t**2 + 6*t**2 + 28. Let o be g(20). Factor s**o + 0 - 1/2*s**3 + 0*s.
-s**2*(s - 2)/2
Suppose -5*o + 15 = 0, 5*d - 13 = -0*o - o. Let l(v) be the first derivative of 1/12*v**3 + 1/2*v**d + 3/4*v + 5. Factor l(h).
(h + 1)*(h + 3)/4
Let j(g) be the first derivative of -9 - g**4 + 2/3*g**6 - 12/5*g**5 - 16*g + 0*g**2 + 28/3*g**3. Determine b so that j(b) = 0.
-1, 1, 2
Let g(u) = -544456*u**2 - 10196*u - 34. Let j(k) = 362970*k**2 + 6798*k + 23. Let w(y) = 9*g(y) + 14*j(y). What is o in w(o) = 0?
-2/213
Let n(c) be the third derivative of c**8/336 - 2*c**7/105 + c**6/30 + c**5/30 - 5*c**4/24 + c**3/3 + 4*c**2. Factor n(z).
(z - 2)*(z - 1)**3*(z + 1)
Factor -56/11*c + 6/11*c**2 - 136/11.
2*(c + 2)*(3*c - 34)/11
Suppose 0 = 7*h - 3*h + 4*y, 0 = -5*h - 2*y + 6. Let -2*r**4 + 11*r**3 - 4*r**4 + 9*r**3 + r**4 - 20*r**h = 0. What is r?
0, 2
Let v(r) be the third derivative of -r**5/390 + 17*r**4/156 - 8*r**2 + 27*r. Determine i so that v(i) = 0.
0, 17
Let g(j) be the second derivative of 27*j + 0 - 1/5*j**5 + 2/3*j**3 - 12*j**2 + 2*j**4. Factor g(c).
-4*(c - 6)*(c - 1)*(c + 1)
Let o(t) be the first derivative of -3 - 1/4*t**4 - t + 1/3*t**3 + 1/2*t**2. Factor o(g).
-(g - 1)**2*(g + 1)
Let y(a) = 8*a**3 - 76*a**2 - 120*a - 40. Let m(g) = -2*g**3 + 15*g**2 + 24*g + 8. Let k(o) = -28*m(o) - 6*y(o). Factor k(z).
4*(z + 2)**2*(2*z + 1)
Let u = -261 + 10180/39. Let h(v) be the second derivative of 0*v**2 + 0 + 0*v**3 + 4*v - 1/195*v**6 + u*v**4 + 1/130*v**5. Factor h(i).
-2*i**2*(i - 2)*(i + 1)/13
Let v(q) be the first derivative of 3*q**6/40 + 11*q**5/20 + q**4 - 2*q**3 - 13*q**2 - 28. Let z(c) be the second derivative of v(c). Factor z(b).
3*(b + 2)**2*(3*b - 1)
Let r(z) be the first derivative of 1/45*z**4 - 1/45*z**3 + 4 + 0*z**2 - 1/150*z**5 + 8*z. Let t(x) be the first derivative of r(x). Solve t(b) = 0.
0, 1
Solve 291/2*n**2 - 27*n**3 + 96 + 3/2*n**4 - 216*n = 0.
1, 8
Let z(q) be the second derivative of -q**4/54 - 4*q**3/9 - 11*q**2/9 + q - 14. Factor z(i).
-2*(i + 1)*(i + 11)/9
Factor 66*s**2 + 46*s**3 - 3*s**4 + 20*s**3 + 9*s**2 - 16*s**3 + 22*s**3.
-3*s**2*(s - 25)*(s + 1)
Factor -8/13*b - 24/13 + 2/13*b**2.
2*(b - 6)*(b + 2)/13
Suppose -20*h + 5*j = -16*h - 7, 2*j + 10 = 4*h. Factor 2/5*d**2 + 0*d - 1/5*d**h + 0.
-d**2*(d - 2)/5
Let u(v) = v**2. Let l(w) = 2*w**2 - 17*w**2 + 6*w + 12 + 6*w. Let s(i) = -l(i) - 18*u(i). Determine h, given that s(h) = 0.
-2
Let j(z) be the second derivative of z**4/12 - 17*z**3/3 - 3*z + 44. Factor j(c).
c*(c - 34)
Let d be (-2)/(-5) + (-17292)/(-770) + -22. Determine a so that 0 - d*a**2 + 0*a + 2/7*a**3 = 0.
0, 3
Factor 1/2*p**5 + 0*p + 0 + p**4 - p**2 - 1/2*p**3.
p**2*(p - 1)*(p + 1)*(p + 2)/2
Let x = 1 + 1. Factor -447*r**x + 449*r**2 - 3*r + 3*r - 2*r**3.
-2*r**2*(r - 1)
Find o, given that -2/7*o**4 + 0 + 8/7*o + 12/7*o**3 - 18/7*o**2 = 0.
0, 1, 4
Let k(q) be the first derivative of q**9/15120 + q**8/4200 - q**6/900 - q**5/600 - 4*q**3/3 + 11. Let u(a) be the third derivative of k(a). Factor u(t).
t*(t - 1)*(t + 1)**3/5
Let k(m) be the third derivative of m**7/210 + m**6/16 + 7*m**5/60 - 17*m**4/16 + 5*m**3/3 + 157*m**2. Suppose k(q) = 0. Calculate q.
-5, -4, 1/2, 1
Factor -2 + 5097*c + 2 - 4835*c + 2*c**2.
2*c*(c + 131)
Let k(a) be the third derivative of a**6/120 + 7*a**5/30 - 31*a**4/24 + 8*a**3/3 + 214*a**2. Factor k(x).
(x - 1)**2*(x + 16)
Let 35/3*w + 1/3*w**3 - 13/3*w**2 + 49/3 = 0. What is w?
-1, 7
Suppose 805*c + 60 = 835*c. Let g(z) be the first derivative of 7 + 1/5*z + 5/3*z**3 + z**c. Let g(b) = 0. What is b?
-1/5
Factor -87*o + 204*o + 200*o + 83*o + 5780 + 5*o**2 - 60*o.
5*(o + 34)**2
Let t = 473 + -991/2. Let n = 24 + t. Factor 3*r**2 - n*r - 3/2*r**3 + 0.
-3*r*(r - 1)**2/2
Let b(a) be the second derivative of 3*a**5/80 + 3*a**4/8 + 9*a**3/8 - 10*a - 7. Let b(u) = 0. Calculate u.
-3, 0
Factor 72/7*i**2 + 4/7*i**4 + 20/7 - 64/7*i - 32/7*i**3.
4*(i - 5)*(i - 1)**3/7
Let z(u) be the second derivative of 20/3*u**3 + 50*u**2 + 1/3*u**4 + 0 + 3*u. Factor z(o).
4*(o + 5)**2
Let r(l) be the third derivative of l**6/300 + l**5/50 - 13*l**4/60 - l**3 + 78*l**2. Find p, given that r(p) = 0.
-5, -1, 3
Suppose 2*p - 6 - 6 = -2*d, p = 5*d - 6. Let a be 20/4 + -10 - -7. Solve 6*t + 8*t + 26*t + 0*t**a + 4*t**d + 100 = 0 for t.
-5
Solve 8/3*f**3 - 17/3*f**2 + 0 + 10/3*f - 1/3*f**4 = 0 for f.
0, 1, 2, 5
Find o such that o + 3*o - 5*o**3 - 2*o**4 - 2*o**4 + 3*o**4 + 8 - 6*o**2 = 0.
-2, 1
Suppose -9*b + 199 + 26 = 0. Let -3*d - 5*d**4 - 12*d + b*d**3 + 7*d + 20 - 5*d**5 + 5*d**2 - 32*d = 0. What is d?
-2, 1
Let z = 1441/2 + -720. Let j(a) be the second derivative of -1/20*a**5 + 0 - z*a**4 - 4*a**2 - 6*a - 2*a**3. Factor j(k).
-(k + 2)**3
Let -176/3*s + 184/3*s**2 + 2/3*s**4 + 0 - 52/3*s**3 = 0. What is s?
0, 2, 22
Suppose 2*x = h - 8 + 26, 4*x - 8 = 0. Let u = h + 41. Let u*q**4 - 12*q**4 + 2*q + 3*q**2 + 17*q**4 - 17*q**2 + 16*q**3 = 0. Calculate q.
-1, 0, 1/4
Let a(s) = 7*s + 10. Let w be a(8). Let u be (-92)/(-22) + (-12)/w. Find q such that 2*q**3 + 0*q + q + q**u + q**2 - q = 0.
-1, 0
Let a(m) be the third derivative of -m**8/420 - m**7/70 - 6*m**3 + 20*m**2. Let w(j) be the first derivative of a(j). Suppose w(d) = 0. What is d?
-3, 0
Let j(p) = -3*p + 30. Let x(s) = s - 10. Let w(q) = -4*j(q) - 11*x(q). Let b be w(12). Factor -2*n - b*n**2 + 4*n + 0*n.
-2*n*(n - 1)
Let n(t) be the first derivative of 0*t + 37/4*t**4 + 6*t**5 + 20/3*t**3 + 8 + 3/2*t**6 + 2*t**2. Determine c, given that n(c) = 0.
-1, -2/3, 0
Find l such that 44*l + 2*l**2 + 33*l**3 + 17*l**2 - 29*l**3 + 29*l**2 = 0.
-11, -1, 0
Let w(f) be the third derivative of -f**10/982800 + f**9/98280 - f**8/32760 - 7*f**5/60 - 4*f**2. Let k(c) be the third derivative of w(c). Factor k(m).
-2*m**2*(m - 2)**2/13
Factor 0 + 0*d + 2/15*d**4 + 208/15*d**3 + 5408/15*d**2.
2*d**2*(d + 52)**2/15
Let k(a) be the second derivative of 1/20*a**5 + 0*a**2 - 22*a + 1/6*a**4 - 1/2*a**3 + 0. What is p in k(p) = 0?
-3, 0, 1
Let x(j) be the third derivative of j**5/60 - 3*j**4/8 + 3*j**3 - 203*j**2. Determine m so that x(m) = 0.
3, 6
Let s(n) be the third derivative of 0 - 1/36*n**4 + 0*n**3 - 1/180*n**5 + 0*n - 9*n**2. Solve s(d) = 0.
-2, 0
Let i(w) = -w**2 + w + 1. Let v(t) be the second derivative of -t**3/3 + 14*t. Let r(c) = -4*i(c) - 2*v(c). Let r(p) = 0. Calculate p.
-1, 1
Let b(o) be the first derivative of o**4/28 + 3*o**3/14 + 19*o - 15. Let n(g) be the first derivative of b(g). Let n(p) = 0. Calculate p.
-3, 0
Let n be 92540/2254 - (-8)/92. Determine d, given that 6*d + n*d**3 + 164/7*d**2 + 216/7*d**4 + 54/7*d**5 + 4/7 = 0.
-2, -1, -1/3
Let x(r) = -r**2 + 14*r + 3. Let q be x(14). Solve -20*w**3 + q*w + 17*w**3 + 2*w**4 + 7*w**2 - w**4 + 8*w**3 = 0.
-3, -1, 0
Let b = 194790 - 37983914/195. Let x = b + 4/39. Factor x - 4/5*y + 1/5*y**2.
(y - 2)**2/5
Let d(t) = t**4 + t**2 - 2*t - 1. Let z(f) = -8*f**4 + 9*f**3 - 9*f**2 - 70*f - 65. Let h(u) = 14*d(u) + 2*z(u). Let h(p) = 0. What is p?
-2, -1, 6
Factor -246/7 - 2/7*y**2 + 88/7*y.
-2*(y - 41)*(y - 3)/7
Let -754*i + 1431*i - 710*i + 3*i**2 = 0. Calculate i.
0, 11
Let u(w) = -w**3 - 10*w**2 - w - 7. Let f be u(-10). Let -3*p**2 + 1 - 7*p - 12*p**f + 19*p + 2 + 0 = 0. Calculate p.
-1, -1/4, 1
Let s(x) be the second derivative of -x**8/3528 + 2*x**7/2205 - x**6/1260 - 15*x**2/2 - 29*x. Let y(p) be the first derivative of s(p). What is i in y(i) = 0?
0, 1
Let p(s) be the second derivative of s**6/15 + 11*s**5/10 + 19*s**4/6 + 3*s**3 + 16*s + 1. Factor p(u).
2*u*(u + 1)**2*(u + 9)
Let v(a) = a**3 - 16*a**2 + 17*a - 2. Let p(x) = -3*x**3 + 49*x**2 - 53*x + 7. Let d(c) = -4*p(c) - 14*v(c). Let d(b) = 0. Calculate b.
0, 1, 13
Let c(z) be the second derivative of 2*z**7/21 - 2*z**6/3 + 2*z - 140. Determine f, given that c(f) = 0.
0, 5
Let k(p) be the first derivative of p**7/420 + p**6/36 + 2*p**5/15 + p**4/3 + 5*p**3/3 + 3. Let j(q) be the third derivative of k(q). Factor j(l).
2*(l + 1)*(l + 2)**2
Let f = 