et v(d) = 11*d**2 + d**3 - 25*d**2 - 6*d + 3 + 1 + 17*d. Let w(r) = -r**2 + r. Let l(y) = 2*v(y) - 22*w(y). Factor l(q).
2*(q - 2)**2*(q + 1)
Let p(g) be the second derivative of -g**4/66 + g**3/11 - 2*g**2/11 - 9*g. Solve p(b) = 0 for b.
1, 2
Let g = 37/2 - 107/6. Factor 0*j + 2/3*j**2 - g.
2*(j - 1)*(j + 1)/3
Let g = -322952888/8099 - -518390/13. Let v = g - -6/89. Determine n, given that 0 + 2/7*n + 2/7*n**3 + v*n**2 = 0.
-1, 0
Let o be (-11)/66 - 31/(-6). Let i(r) be the third derivative of r**2 - 1/75*r**o + 0*r + 0*r**4 + 0 + 0*r**3 - 1/300*r**6. Factor i(q).
-2*q**2*(q + 2)/5
Let p(v) be the first derivative of 1/5*v**5 - 2 - v**3 + v**2 + 0*v**4 + 0*v. Factor p(u).
u*(u - 1)**2*(u + 2)
Solve -2*n**3 - 8/3*n**2 - 2/3*n**5 + 8/3*n**4 + 8/3*n + 0 = 0 for n.
-1, 0, 1, 2
Find m such that 0 + 0*m + 2/17*m**4 + 0*m**3 + 2/17*m**5 + 0*m**2 = 0.
-1, 0
Let i(b) = -7*b**4 + 15*b**3 - 7*b**2 - 12*b + 5. Let l(k) = k**4 - k**3 + k**2 + 1. Let h(s) = i(s) + 3*l(s). Suppose h(d) = 0. What is d?
-1, 1, 2
Let b(i) be the third derivative of 9*i**7/175 - 9*i**6/25 + 3*i**5/5 - 7*i**4/15 + i**3/5 - 9*i**2. Let b(d) = 0. What is d?
1/3, 3
Let p(i) be the third derivative of 3*i**2 + 0*i**4 + 0 + 0*i**3 + 1/480*i**6 + 0*i + 1/240*i**5. Suppose p(s) = 0. Calculate s.
-1, 0
Let p(h) be the first derivative of -h**4/10 - 8*h**3/15 - h**2 - 4*h/5 + 1. Let p(s) = 0. Calculate s.
-2, -1
Let z(a) be the second derivative of -a**7/273 - a**6/195 + a**5/26 + 5*a**4/78 - 4*a**3/39 - 4*a**2/13 - 7*a. What is m in z(m) = 0?
-2, -1, 1, 2
Let r(o) be the second derivative of 0 + 1/60*o**4 - o + 0*o**3 - 1/100*o**5 + 0*o**2. Suppose r(i) = 0. Calculate i.
0, 1
Factor 6/5*v**3 - 3/5 - 6/5*v + 0*v**2 + 3/5*v**4.
3*(v - 1)*(v + 1)**3/5
Let s(c) be the third derivative of c**6/60 - 2*c**5/15 + c**4/3 - 15*c**2. Factor s(g).
2*g*(g - 2)**2
Let n be -1*4 + (5 - 1). Let c(w) be the third derivative of 0*w + 0*w**3 + 1/72*w**4 + n*w**5 + 0 + 2*w**2 - 1/360*w**6. Let c(v) = 0. What is v?
-1, 0, 1
Let i(v) be the first derivative of -1 - 4*v - 1/4*v**2 - 1/6*v**3 - 1/24*v**4. Let g(h) be the first derivative of i(h). Factor g(a).
-(a + 1)**2/2
Factor 18/17*k**4 - 132/17*k**3 + 152/17*k**2 + 0 - 48/17*k.
2*k*(k - 6)*(3*k - 2)**2/17
Factor t**2 + 55*t**3 + 28*t**4 + 139*t**5 - 136*t**5 - 51*t**2.
t**2*(t + 5)**2*(3*t - 2)
Factor -6/5*d - 4/5*d**2 + 2/5*d**3 + 0.
2*d*(d - 3)*(d + 1)/5
Factor 0*d - 3/4*d**4 - 3/4*d**2 - 3/2*d**3 + 0.
-3*d**2*(d + 1)**2/4
Let n(u) be the third derivative of 0*u**3 - 1/240*u**6 + 1/420*u**7 - 1/120*u**5 + 0 + 0*u + 1/48*u**4 + 9*u**2. Solve n(z) = 0 for z.
-1, 0, 1
Let b(z) be the second derivative of -77/30*z**6 + 8/5*z**5 + 0*z**2 + 0*z**3 - z + 0 + 7/6*z**7 - 1/3*z**4. Find d such that b(d) = 0.
0, 2/7, 1
Let n(x) be the third derivative of -x**6/24 + x**5/6 - 5*x**4/24 - 25*x**2. Find f, given that n(f) = 0.
0, 1
Let i = 4 - 7. Let p = 7/2 + i. Let p - 1/2*z**2 + 0*z = 0. Calculate z.
-1, 1
Let u = -57 - -287/5. Determine o, given that 6/5*o**2 + u*o**3 + 4/5*o + 0 = 0.
-2, -1, 0
Let t(d) = -5*d**2 + 2*d + 4 + d**2 + 3*d**2 - 2. Let a(m) = -m - 1. Let j(f) = -6*a(f) - t(f). Solve j(p) = 0 for p.
-2
Let y(i) be the third derivative of -i**7/945 + i**5/270 + 15*i**2. Solve y(n) = 0 for n.
-1, 0, 1
Let d(g) be the third derivative of g**7/1260 - g**6/720 - g**5/180 + 35*g**2. Solve d(f) = 0.
-1, 0, 2
Factor -3*x**3 + 236*x + 7*x**2 + 2*x**2 - 242*x.
-3*x*(x - 2)*(x - 1)
Let w(z) be the third derivative of -z**5/15 + z**4/6 - z**2. Factor w(g).
-4*g*(g - 1)
Suppose -3*c + 73 - 13 = 0. Suppose 10*i - 5*i = c. Factor -13*g**4 - 2*g**3 + 5*g**i - 13*g**3 - 2*g - 3*g**3 - 12*g**2.
-2*g*(g + 1)**2*(4*g + 1)
Factor -9/7*q**2 + 15/7*q**3 - 12/7 - 36/7*q.
3*(q - 2)*(q + 1)*(5*q + 2)/7
Suppose 0*y = y - 2, -3*y = 3*d - 15. Suppose 5*h - 4*h - 5 = 0. Determine g so that -4*g**h + g**5 - 2*g**5 + d*g**5 = 0.
0
Let l be (24/32)/((-2)/(-16)). Suppose l = -0*q + 3*q. Suppose 1/2 - 1/2*t**q + 0*t = 0. What is t?
-1, 1
Let c be ((-20)/24)/((-188)/(-66)). Let w = -2/47 - c. Factor 1/2*a - w - 1/4*a**2.
-(a - 1)**2/4
Let x(z) be the second derivative of z**6/40 + 3*z**5/40 - 3*z**4/16 - z**3/2 + 3*z**2/2 + 8*z. Factor x(b).
3*(b - 1)**2*(b + 2)**2/4
Let m(x) = -3*x - 21. Let q be m(-8). Factor 0 + 0*w**q + 0*w + 3/2*w**4 + 0*w**2.
3*w**4/2
Let y(d) be the third derivative of -1/8*d**4 - 4*d**2 - 1/20*d**5 + 0*d + 0 + 0*d**3. Solve y(p) = 0 for p.
-1, 0
Let v(o) be the second derivative of -5*o**7/112 + 3*o**6/20 - 3*o**5/40 - 5*o**4/16 + 9*o**3/16 - 3*o**2/8 - 7*o + 1. Solve v(j) = 0.
-1, 2/5, 1
Let b(m) = 7*m**3 - 13*m**2 + 10*m. Let g(s) = 6*s**3 - 14*s**2 + 11*s - 1. Let x(l) = 2*b(l) - 3*g(l). What is f in x(f) = 0?
1/2, 3
Suppose 5*w = w. Factor p**3 + 5*p**2 + p**3 - p**2 - 2*p**4 + w*p**2.
-2*p**2*(p - 2)*(p + 1)
Let 6/7*l - 8/7*l**3 + 0 + 4/7*l**4 - 4/7*l**2 + 2/7*l**5 = 0. Calculate l.
-3, -1, 0, 1
Let w = 89 - 87. Solve c**3 + 1/2*c**4 + 1/2*c**w + 0*c + 0 = 0 for c.
-1, 0
Let x = 90 - 90. Let 2/3*n**2 + x - 2/3*n**3 + 4/3*n = 0. What is n?
-1, 0, 2
Let u(r) be the second derivative of -r**4/3 - 4*r**3/3 + 6*r**2 + 8*r. Determine m so that u(m) = 0.
-3, 1
Let s = -17/2 + 10. Factor 1/2*g + s*g**3 + 0 - 3/2*g**2 - 1/2*g**4.
-g*(g - 1)**3/2
Determine r, given that -8*r**3 - r**3 - 5*r**4 + 3*r**2 + 3*r**5 + 2*r**4 + 6*r = 0.
-1, 0, 1, 2
Factor a**3 - 3*a + 3*a + 2*a**2 - 2*a**3.
-a**2*(a - 2)
Let r = 33/164 - -2/41. Suppose 1/2*m**2 + 0 - r*m**3 - 1/4*m = 0. Calculate m.
0, 1
Let y(c) = c**3 + 13*c**2 + 2. Let h be y(-13). Determine t, given that -15/4*t - 3/4*t**3 - 3*t**h - 3/2 = 0.
-2, -1
Let h(p) be the second derivative of p**8/2240 + p**7/210 + p**6/60 - p**4/12 - 4*p. Let c(v) be the third derivative of h(v). Solve c(g) = 0.
-2, 0
Let o(y) = y**5 + 2*y**4 - 4*y**2 + y. Let f(z) = -5*z**4 + z - 13*z**2 + 2*z**5 + 11*z**4 + 2*z**5 + 2*z. Let k(x) = 4*f(x) - 14*o(x). Factor k(s).
2*s*(s - 1)**3*(s + 1)
Let l(t) be the first derivative of 2*t**3/39 - t**2/13 - 2. Factor l(f).
2*f*(f - 1)/13
Let x(l) be the first derivative of l**5/50 - l**3/5 - 2*l**2/5 + 7*l - 6. Let c(n) be the first derivative of x(n). Factor c(y).
2*(y - 2)*(y + 1)**2/5
Find b, given that 4/19*b - 6/19*b**2 + 0 + 2/19*b**3 = 0.
0, 1, 2
Let s(y) be the second derivative of -y**8/1008 + y**6/360 + 5*y**2/2 - 3*y. Let c(v) be the first derivative of s(v). Factor c(a).
-a**3*(a - 1)*(a + 1)/3
Let f = 50 + -148/3. Factor 1/2*b**2 + f*b**3 + 0 - 1/6*b.
b*(b + 1)*(4*b - 1)/6
Let h = -1693907 + 1529598272/903. Let g = h - -1/129. Factor 0*l + 2/7*l**2 - g.
2*(l - 1)*(l + 1)/7
Let x(c) = 4*c**3 - c**2. Let g be (12/20)/((-2)/(-20)). Suppose 4*r = g*r + 2. Let t(s) = s**3. Let f(o) = r*x(o) + 5*t(o). Factor f(y).
y**2*(y + 1)
Let r(u) be the second derivative of 1/12*u**3 + 0 + 0*u**2 + 1/24*u**4 - u. Factor r(i).
i*(i + 1)/2
Let r(u) be the third derivative of u**7/1680 - u**6/120 + u**5/20 - u**4/12 + u**2. Let i(a) be the second derivative of r(a). Solve i(q) = 0.
2
Let x(j) be the first derivative of j**5 + 5*j**4/4 - 5*j**3/3 - 5*j**2/2 - 2. Find b, given that x(b) = 0.
-1, 0, 1
Let z(h) be the second derivative of -h**5/60 - h**4/4 - 3*h**3/2 - 9*h**2/2 + 12*h. Factor z(m).
-(m + 3)**3/3
Let t = 3 - -1. Factor t*z**4 + 2*z**3 + 2*z**3 - 3*z**3 - 5*z**3.
4*z**3*(z - 1)
Let x be 6*(3 + (-21)/9). Let j(p) be the first derivative of -2/5*p**5 + 1 + 2/3*p**3 + 0*p - 1/2*p**x + p**2. Factor j(u).
-2*u*(u - 1)*(u + 1)**2
Let i be 6/(-32)*-3*(-68)/(-153). Let -i*b**2 + 1/2*b - 1/4 = 0. Calculate b.
1
Let m(y) = -2*y + 1. Let r be m(-3). Factor -r*l + 0*l**2 - l + 3*l**2 + l**2.
4*l*(l - 2)
Suppose -30 = -5*a - 5*t, -t - 4 - 2 = -2*a. Let u(v) be the third derivative of 1/24*v**a + 0*v + 0 - 1/60*v**5 + 0*v**3 + v**2. Factor u(o).
-o*(o - 1)
Let p = -40 - -44. Let d(v) be the first derivative of -1/6*v**p - 4 - 1/9*v**2 - 2/45*v**5 - 2/9*v**3 + 0*v. Factor d(m).
-2*m*(m + 1)**3/9
Let f(u) be the third derivative of u**8/2240 - u**7/280 + u**6/120 + u**4/8 + u**2. Let j(z) be the second derivative of f(z). What is t in j(t) = 0?
0, 1, 2
Let h(t) be the first derivative of 0*t**2 + 0*t**4 + 0*t + 1/540*t**6 - 1/180*t**5 + t**3 + 3. Let m(z) be the third derivative of h(z). Factor m(k).
2*k*(k - 1)/3