*k + 73*k. Factor 3/4*u**2 + 0*u + 1/2*u**3 + 0 - 1/4*u**k.
-u**2*(u - 3)*(u + 1)/4
Let f(y) be the third derivative of y**6/600 + 2*y**5/75 - 71*y**4/120 - 13*y**3/5 - 16*y**2 + y. Factor f(s).
(s - 6)*(s + 1)*(s + 13)/5
Let v(x) be the third derivative of 5*x**8/336 + x**7/42 - 3*x**6/8 + 11*x**5/12 - 5*x**4/6 - 479*x**2. Factor v(g).
5*g*(g - 1)**3*(g + 4)
Let l(x) be the second derivative of 3*x**5/4 + 85*x**4/12 + 70*x**3/3 + 30*x**2 - 112*x. Factor l(s).
5*(s + 2)*(s + 3)*(3*s + 2)
Solve 4/3*w + 2/9*w**2 + 16/9 = 0 for w.
-4, -2
Let l(s) be the second derivative of -5/12*s**3 + 5*s + 1/2*s**2 + 0 - 19/40*s**5 - 1/12*s**6 - 7/8*s**4. Let l(v) = 0. Calculate v.
-2, -1, 1/5
Let u(h) be the second derivative of -h**5/130 - 5*h**4/26 - 21*h**3/13 - 49*h**2/13 + 8*h + 3. Determine b, given that u(b) = 0.
-7, -1
Factor -9*j + 18*j + 48*j - 1825 + 43*j + 35*j**2 + 1885.
5*(j + 2)*(7*j + 6)
Let v(b) be the first derivative of -14 + 1/12*b**3 - 1/4*b**2 + 0*b. Determine s so that v(s) = 0.
0, 2
Let j(a) = -a**4 - a**2 - a + 1. Suppose m - 200 = 32. Let s be m/72 - 2/9. Let c(g) = -4*g**4 + 4*g**3 - 8*g**2 - g + 3. Let l(z) = s*j(z) - c(z). Factor l(f).
f*(f - 2)*(f - 1)**2
Let a = -18825 + 131462/7. Let t = 47 + a. Factor -t*g**2 + 8/7 - 4*g.
-4*(g + 2)*(4*g - 1)/7
Let v(k) = 4*k**3 + 24*k**2 + 6*k - 44. Let b(o) = 8*o**3 + 48*o**2 + 9*o - 90. Let f(g) = -2*b(g) + 5*v(g). Solve f(z) = 0.
-5, -2, 1
Let m(n) = -34*n - 235. Let u be m(-7). Let z(k) be the second derivative of -5/12*k**4 + 0 + 0*k**2 + 5/6*k**u - 2*k. Factor z(b).
-5*b*(b - 1)
Let f(b) be the third derivative of b**7/315 + b**6/45 - b**5/15 - b**4/9 + 5*b**3/9 + 17*b**2. Solve f(z) = 0 for z.
-5, -1, 1
Let c(f) be the third derivative of 14*f**2 + 0*f + 0 + 5/42*f**7 + 5/12*f**6 + 5/336*f**8 + 5/6*f**5 + 5/6*f**3 + 25/24*f**4. Factor c(n).
5*(n + 1)**5
Let i(d) = 3*d**2 - 18*d + 2. Let j(h) = -2*h**3 - 4*h**2 - 4*h - 2. Let g be j(-2). Let n be i(g). Factor -2*f - 1/2*f**2 + 1/2 + n*f**3.
(f - 1)*(f + 1)*(4*f - 1)/2
Let z(h) be the second derivative of 4/9*h**3 + 0 + 7/180*h**6 - 1/24*h**4 - 13*h - 1/3*h**2 - 2/15*h**5. Let z(a) = 0. Calculate a.
-1, 2/7, 1, 2
Let n(w) = 2*w**4 - w**3 + w**2 + w + 1. Let o(x) = 11*x**4 + 37*x**3 + 68*x**2 + 33*x + 3. Let b(i) = 3*n(i) - o(i). Solve b(j) = 0 for j.
-6, -1, 0
Let p(d) be the third derivative of -d**8/1176 - 3*d**7/245 - 3*d**6/70 + 188*d**2. Factor p(k).
-2*k**3*(k + 3)*(k + 6)/7
Find v, given that -92/7*v**2 - 32/7*v**3 - 16*v - 48/7 - 4/7*v**4 = 0.
-3, -2, -1
Let q(l) be the first derivative of l**4/8 + 13*l**3/12 + 11*l**2/4 + 2*l - 79. Let q(w) = 0. What is w?
-4, -2, -1/2
Let k(g) be the second derivative of -g**8/420 + g**6/30 - g**5/15 + g**3/2 - 7*g. Let c(t) be the second derivative of k(t). Determine d so that c(d) = 0.
-2, 0, 1
Let z(l) be the first derivative of -2*l**5/25 + 3*l**4/20 + 8*l**3/15 + 3*l**2/10 + 115. Factor z(s).
-s*(s - 3)*(s + 1)*(2*s + 1)/5
Let a(n) be the third derivative of 0*n - 1/1440*n**6 + 0*n**5 - 7*n**2 - 7/6*n**3 + 0 + 0*n**4. Let g(p) be the first derivative of a(p). Factor g(j).
-j**2/4
Let r(v) = -v**3 - 7*v**2 - 10*v + 9. Let x be r(-5). Let 4*n**2 - 2*n + x*n + 11*n - n**2 = 0. What is n?
-6, 0
Let o = -2914 + 5837/2. Factor -3*h + 3/4*h**4 + 3/4 + o*h**2 - 3*h**3.
3*(h - 1)**4/4
Let m(l) be the first derivative of l**4/16 + l**3/4 - l + 54. Determine r, given that m(r) = 0.
-2, 1
Let q be (88 + -87)/(3/108 + (-2)/(-9)). Suppose -36/23 + 26/23*v**2 - 6/23*v + 2/23*v**q + 14/23*v**3 = 0. What is v?
-3, -2, 1
Let x be 13*(-2)/(-180) - 65/(-1170). Solve 1/5 - x*y**2 + 0*y = 0 for y.
-1, 1
Factor 2/9*w**2 - 2*w + 28/9.
2*(w - 7)*(w - 2)/9
Solve -606*n**3 + 602*n**3 + 104 + 4*n - 114*n**2 + 50*n**2 - 40*n**2 = 0 for n.
-26, -1, 1
Let l(x) be the third derivative of x**6/180 + 11*x**5/60 + 5*x**4/6 - 5*x**3/2 + 21*x**2. Let g(b) be the first derivative of l(b). Let g(a) = 0. What is a?
-10, -1
Let f(a) = -a**5 + a**4 - a**3 - a**2 + a + 1. Let c(k) = -7*k**5 + 3*k**4 + 5*k**3 - 3*k**2 - 4*k + 6. Let b(w) = c(w) - 6*f(w). Suppose b(t) = 0. What is t?
-5, -1, 0, 1, 2
Let m be ((-4)/6)/(4/(-30)). Let w = 3662 - 3659. Factor -1/2*d**w + 0*d**2 + 0 - 1/2*d**m - d**4 + 0*d.
-d**3*(d + 1)**2/2
Let u(n) be the second derivative of -n**5/70 + n**4/2 - 3*n**3 - 85*n**2/7 - n. Let u(y) = 0. Calculate y.
-1, 5, 17
Factor -75*h + 303/4 - 3/4*h**2.
-3*(h - 1)*(h + 101)/4
Let m(h) be the first derivative of -h**4/16 + 8*h**3 - 384*h**2 + 8192*h - 71. Factor m(q).
-(q - 32)**3/4
Let z be ((-24)/(-28))/(2/14). Suppose -q - 5*m = 26 - z, 0 = 2*q - 4*m - 16. Factor q - u**2 - 1/2*u**3 - 1/2*u.
-u*(u + 1)**2/2
Let p be 2*-4 - (82 + -44)/((-9)/2). Factor -2/9*m**5 + p*m**3 + 2/9*m**4 + 0 + 0*m**2 + 0*m.
-2*m**3*(m - 2)*(m + 1)/9
Suppose -20 - 25 = -15*n. Suppose 3 = i, m - 2*i + n = -i. Factor 3/2*v + 1/2*v**2 + m.
v*(v + 3)/2
Let g(n) = 7*n**4 - 6*n**3 - 13*n**2 - 4*n. Let w(q) = 13*q**4 - 12*q**3 - 25*q**2 - 7*q. Let t(m) = -7*g(m) + 4*w(m). Factor t(d).
3*d**2*(d - 3)*(d + 1)
Let q be (-11*(-90)/594)/((-2)/(-6)). Let k(r) be the first derivative of 3/4*r**4 - 3/2*r**3 - 3/20*r**q + 3/2*r**2 - 3/4*r - 9. Factor k(g).
-3*(g - 1)**4/4
Let r be ((-3)/8)/((-18)/(-27)*-27). Let k(h) be the second derivative of 0 - r*h**4 - 10*h + 1/24*h**3 + 0*h**2. Factor k(t).
-t*(t - 1)/4
Let g = 775 + -775. Factor -26/5*f**2 + g - 12/5*f - 16/5*f**3 - 2/5*f**4.
-2*f*(f + 1)**2*(f + 6)/5
Let o(x) be the third derivative of -x**5/150 - 13*x**4/60 - 20*x**2. Factor o(s).
-2*s*(s + 13)/5
Factor l - l + 3*l**3 - 29*l**2 - 13*l**4 + 35*l**2 + 10*l**4.
-3*l**2*(l - 2)*(l + 1)
Let t(y) be the third derivative of y**7/42 - 11*y**6/24 + 19*y**5/12 - 15*y**4/8 - 42*y**2. Factor t(c).
5*c*(c - 9)*(c - 1)**2
Let 12*m**3 + 104*m + 75 - 155*m**2 - 13*m**3 + 21*m**3 - 15 + 96*m = 0. Calculate m.
-1/4, 2, 6
Let g(f) be the second derivative of -f**5/40 + f**4/8 + f**3/12 - 3*f**2/4 + 51*f. Factor g(i).
-(i - 3)*(i - 1)*(i + 1)/2
Let q(c) = c**2 + 4*c - 1. Let p be q(2). Suppose o = -4*t + p, 12 = 4*o - 0. Solve 4/11 + t*z + 10/11*z**2 = 0.
-2, -1/5
Let k = 7368/11 + -669. Let u = k + -16/33. Factor 1/2*q**4 - 1/3*q**2 - u*q**3 - 1/6*q**5 + 1/2*q - 1/6.
-(q - 1)**4*(q + 1)/6
Let s(n) = -2*n + 7*n - 30*n**2 - 25*n**2 - 3 + 53*n**2. Let v(u) = -2*u**2 + 6*u - 4. Let m(l) = -6*s(l) + 5*v(l). Determine w so that m(w) = 0.
-1, 1
Solve 3815*d**4 + 1 - 3812*d**4 - 9*d**3 - 1 + 12*d = 0 for d.
-1, 0, 2
Let a(n) be the second derivative of -n**8/280 - n**7/210 + n**6/60 + n**5/30 - n**3/3 - 7*n. Let v(j) be the second derivative of a(j). Factor v(t).
-2*t*(t - 1)*(t + 1)*(3*t + 2)
Let t(z) be the second derivative of 2*z**7/7 + 4*z**6/3 - 41*z**5/20 - 11*z**4/4 + 7*z**3/3 + 4*z**2 + 93*z. Let t(r) = 0. Calculate r.
-4, -1/2, 2/3, 1
Let z = -68 + 74. Find g, given that 6*g**2 + 2*g**3 + z*g**2 - 7*g**3 + 2*g**3 = 0.
0, 4
Let a(w) be the first derivative of 8/5*w**5 + 32 - 1/2*w**4 + 1/3*w**6 - 8/3*w**3 + 0*w**2 + 0*w. Factor a(m).
2*m**2*(m - 1)*(m + 1)*(m + 4)
Determine c, given that 4/11*c**2 + 24/11*c**4 + 0 + 0*c + 18/11*c**3 + 8/11*c**5 = 0.
-2, -1/2, 0
Let q(s) be the first derivative of -7 - 1/4*s**4 + 2/3*s**3 + 0*s**2 - 2/5*s**5 + 0*s + 1/6*s**6. Determine b so that q(b) = 0.
-1, 0, 1, 2
Let u(m) be the second derivative of -1/20*m**6 + 0*m**2 + 14 + 1/84*m**7 + 0*m**3 + m - 9/40*m**5 - 5/24*m**4. Factor u(v).
v**2*(v - 5)*(v + 1)**2/2
Determine s so that 0 - 12*s**2 - 1/2*s**5 + 3*s**4 - 8*s - 1/2*s**3 = 0.
-1, 0, 4
Let z(t) = -t**2 - 25*t - 21. Let v be z(-24). Suppose 0*u = 4*u + v*u. Factor -1/3*c**4 - 2/3*c**3 + 0 - 1/3*c**2 + u*c.
-c**2*(c + 1)**2/3
Find r, given that -29/2*r**2 + 1/4*r**4 - 22*r - 39/4 - 2*r**3 = 0.
-3, -1, 13
Let n(p) be the second derivative of -p**5/20 + 5*p**4/12 + 2*p**3/3 - 10*p**2 + p + 95. Find k such that n(k) = 0.
-2, 2, 5
Let g = -1044 + 1044. Let y(t) be the first derivative of 0*t + g*t**2 - 1/6*t**4 + 4/63*t**3 + 2 + 1/9*t**6 - 4/105*t**5. What is m in y(m) = 0?
-1, 0, 2/7, 1
Let i(j) = -j**2 - 12*j - 13. Let z be i(-7). Find s, given that 2 + 77*s**2 + 54*s - z - 87*s**2 = 0.
2/5, 5
Let k = 519 - 515. Let q(d) be the second derivative of 1/20*d**6 + 0*d**2 - 3/40*d**5 - 1/8*d**k + 0 - 4*d + 1/4*d**3. Factor q(j