 + 1/210*x**7 + 0*x**3 + 0*x. Factor c(l).
l**3*(l - 2)
Let w(g) be the first derivative of -g**6/15 + g**5/30 + g - 2. Let v(n) be the first derivative of w(n). Factor v(a).
-2*a**3*(3*a - 1)/3
Let k = -2/3159 + 974/3159. Suppose -2/13*t**2 - 2/13 - k*t = 0. What is t?
-1
Let g be 7/(-6)*(1 - (-11)/(-7)). Factor 4/3 + g*b**2 - 2*b.
2*(b - 2)*(b - 1)/3
Let w = -156 - -160. Let q(u) be the third derivative of 1/280*u**7 + u**2 + 0 + 0*u + 0*u**3 + 0*u**6 - 1/80*u**5 + 0*u**w. Factor q(p).
3*p**2*(p - 1)*(p + 1)/4
Let h(g) be the third derivative of g**8/112 + 22*g**2. Find w, given that h(w) = 0.
0
Factor -2*w**4 - 25*w**4 + 63*w - 15 + 12*w**5 - 9*w**5 + 78*w**3 - 61*w**2 - 41*w**2.
3*(w - 5)*(w - 1)**4
What is p in -1/5 - 1/5*p**2 + 2/5*p = 0?
1
Let a(p) be the second derivative of 2*p**2 + 0 + 2/3*p**4 + p - 5/3*p**3 - 1/10*p**5. Determine q so that a(q) = 0.
1, 2
Suppose -p = 5*p - 12. Factor -1/4*z**4 - 7/4*z - 9/4*z**p - 5/4*z**3 - 1/2.
-(z + 1)**3*(z + 2)/4
Let o(p) = 15*p**4 - 27*p**3 + 81*p**2 - 48*p. Let x(v) = 8*v**4 - 13*v**3 + 41*v**2 - 24*v. Let s(t) = 5*o(t) - 9*x(t). Let s(y) = 0. Calculate y.
0, 2
Let v(i) = 4*i**2 + 21*i + 81. Let g(l) = -17*l**2 - 85*l - 324. Let n(f) = 6*g(f) + 26*v(f). Determine y so that n(y) = 0.
-9
Let l(o) be the third derivative of o**9/7560 - o**8/840 + 2*o**7/525 - o**6/225 - 2*o**3/3 - 6*o**2. Let u(t) be the first derivative of l(t). Solve u(c) = 0.
0, 1, 2
Let t(q) = -6*q - 3. Let w be t(-1). Solve 2/5*j + 2/5*j**2 - 2/5 - 2/5*j**w = 0 for j.
-1, 1
Let x(b) be the second derivative of -b**7/42 + 7*b**6/30 + b**5/10 - 7*b**4/6 - b**3/6 + 7*b**2/2 - 2*b - 2. Factor x(w).
-(w - 7)*(w - 1)**2*(w + 1)**2
Let o be (6/135)/(6 - 2). Let a(r) be the second derivative of -1/27*r**4 + 0*r**3 + 0 - 3*r - o*r**5 + 0*r**2. Let a(h) = 0. What is h?
-2, 0
Factor -9/4*m + 0*m**2 + 3/2 + 3/4*m**3.
3*(m - 1)**2*(m + 2)/4
Let w be (-2 - -3 - 87/(-33)) + -2. Find d, given that w - 12/11*d + 2/11*d**2 = 0.
3
Suppose 3/5*n + 6/5 - 3/5*n**2 = 0. What is n?
-1, 2
Let z(i) be the first derivative of -i**3/9 - i**2/3 - 1. Factor z(j).
-j*(j + 2)/3
Let m(b) be the third derivative of -b**7/840 + b**5/240 - 2*b**2. Factor m(n).
-n**2*(n - 1)*(n + 1)/4
Let n be 6 + (-3 - (-1 + 1)). Let f(h) be the second derivative of 2*h + 1/60*h**6 + 0 - 1/8*h**2 + 1/8*h**n - 3/80*h**5 - 1/48*h**4. Solve f(m) = 0 for m.
-1, 1/2, 1
Let t(x) be the second derivative of x**6/105 - x**5/70 - x**4/84 + 3*x**2/2 + 3*x. Let m(s) be the first derivative of t(s). Solve m(k) = 0.
-1/4, 0, 1
Let m(x) = 3*x - 1. Suppose -3*j = -2*a - 1, -a - 5*j = -j - 5. Let q be m(a). Factor 0 + 0 - l**q + l.
-l*(l - 1)
Let z(w) be the third derivative of 4*w**2 + 0*w**3 + 0*w**4 + 1/540*w**6 + 0*w + 0 + 1/135*w**5. Factor z(x).
2*x**2*(x + 2)/9
Let f be (-1 - -5)*(-26)/(-208). Suppose 1/3 + f*s + 1/6*s**2 = 0. What is s?
-2, -1
Let f(d) be the second derivative of -7*d**5/25 - 2*d**4/15 + 14*d**3/15 + 4*d**2/5 + 5*d. Factor f(o).
-4*(o - 1)*(o + 1)*(7*o + 2)/5
Let o(h) be the second derivative of -h**8/1680 - h**7/840 - h**3/3 - h. Let i(w) be the second derivative of o(w). Determine f so that i(f) = 0.
-1, 0
Let j be 28/7*2/4. What is h in -h**4 + 4*h**3 - h**4 + 2*h**j - 4*h**5 + 0*h**4 = 0?
-1, -1/2, 0, 1
Find s such that -10/13*s**3 + 0 - 2/13*s**5 - 4/13*s**2 - 8/13*s**4 + 0*s = 0.
-2, -1, 0
Suppose -11 = -5*t - 3*u, -2*u = -4*t - 0*t. Suppose 5*v - 5*h = t + 9, -h = 0. Factor 11/2*d - 1 - 9/2*d**v.
-(d - 1)*(9*d - 2)/2
Suppose 0 = -5*v + 3*v + 14. Suppose -13 = -3*y - v. Factor -1/2*s**3 + y - 4*s + 5/2*s**2.
-(s - 2)**2*(s - 1)/2
Let b(q) = q**2 + 7*q. Let s be b(-8). Let j = s + -6. Factor 0*r**j - 2/3*r**3 + 1/3 + 2/3*r - 1/3*r**4.
-(r - 1)*(r + 1)**3/3
Let z = -7 - -9. Suppose -4*h + 6 + 2/3*h**z = 0. What is h?
3
Let h = 48 - 48. Let t(d) be the third derivative of -1/48*d**4 - 2*d**2 + h*d + 1/120*d**5 + 0 - 1/12*d**3 + 1/240*d**6. Factor t(i).
(i - 1)*(i + 1)**2/2
Let g = 85/12 - 7/3. Let d = -4 + g. What is c in 0 + 3/4*c**2 + d*c = 0?
-1, 0
Suppose 5*b - b = 8. Suppose 2*g + 3 = -g, g - 3 = -b*v. Factor 0 - 1/3*l**v + 1/3*l.
-l*(l - 1)/3
Let z(p) be the third derivative of p**6/48 - p**5/12 - 31*p**2. Determine t so that z(t) = 0.
0, 2
Let s(a) be the second derivative of 3*a**5/20 - 3*a**4/4 + 3*a**3/2 - 3*a**2/2 + 21*a. Solve s(n) = 0.
1
Find z, given that 0 - 4/11*z**2 - 2/11*z**3 + 6/11*z = 0.
-3, 0, 1
Let t(o) = -4*o**4 + 21*o**3 + 0*o**2 - 10*o**4 + 2*o - 6*o - 3*o**2. Let m(q) = 14*q**4 - 20*q**3 + 2*q**2 + 4*q. Let a(j) = -3*m(j) - 4*t(j). Factor a(g).
2*g*(g - 1)**2*(7*g + 2)
Let b = 1879/7 - 269. Let m = 19/21 + b. Factor -1/3 - 1/3*x + m*x**3 + 1/3*x**2.
(x - 1)*(x + 1)**2/3
Let t be (-7 + 4)*1/(-6)*1. Find q such that 0 - q**4 + 0*q**2 - 3/2*q**5 + 0*q + t*q**3 = 0.
-1, 0, 1/3
Suppose -5*l + 18 + 2 = 0. Solve 19*v**3 - 4*v - 4 + 4*v**4 + 3*v**2 - 15*v**3 - 3*v**l = 0.
-2, -1, 1
Let y(c) be the second derivative of c**5/40 + c**4/4 + c**3 + 2*c**2 - 5*c. Factor y(r).
(r + 2)**3/2
Let v(g) = -5*g**2 - 6*g + 2. Let u(r) = 2*r + 3. Let x be u(6). Let h(k) = 33*k + 33*k - k + 36*k**2 - x - 23*k. Let j(f) = -2*h(f) - 15*v(f). Factor j(n).
3*n*(n + 2)
Let r(l) be the first derivative of -l**9/1008 + l**7/280 - 4*l**3/3 - 1. Let d(o) be the third derivative of r(o). Find i such that d(i) = 0.
-1, 0, 1
Let v(p) be the first derivative of -2*p**5/15 - p**4/6 + 3. Find n, given that v(n) = 0.
-1, 0
Let h(l) be the first derivative of l**3/4 + 3*l**2/4 - 10. Factor h(t).
3*t*(t + 2)/4
Let h(s) be the second derivative of 0 + 3/100*s**5 - 1/10*s**3 - s - 3/10*s**2 + 1/20*s**4. Let h(t) = 0. Calculate t.
-1, 1
Let i = 7 - 5. Find w such that -i*w - 10*w**3 - 2*w**5 - 3*w - 4*w**2 - 8*w**4 + 5*w = 0.
-2, -1, 0
Let y be ((-8)/(-50))/(-9 - (-329)/35). Suppose -o = -0*o - 2. Suppose 0 + 0*u - y*u**o - 2/5*u**3 = 0. Calculate u.
-1, 0
Let v(l) be the second derivative of -l**6/135 + 7*l**5/90 - 5*l**4/18 + l**3/3 + 3*l. Solve v(c) = 0 for c.
0, 1, 3
Let o = -62 + 497/8. Let x(t) be the first derivative of -1/12*t**3 - 1/16*t**4 + 1/4*t + o*t**2 + 1. Factor x(z).
-(z - 1)*(z + 1)**2/4
Let f(p) = 15*p**2 + 215*p + 385. Let u(x) = 2*x**2 + 27*x + 48. Let b(c) = -3*f(c) + 25*u(c). Solve b(a) = 0 for a.
-3
Let r(q) = q**4 + q**3 + q + 1. Let p(s) = -10*s**3 + 0*s - 85 + 3*s**5 + 3*s + 84 + s**4. Let h(z) = p(z) + r(z). Factor h(t).
t*(t - 1)**2*(t + 2)*(3*t + 2)
Let a(p) = -p - 14. Let i be a(-12). Let w be i/8*-5 - 1. What is o in 3/4*o**2 + 0 + w*o**4 + 3/4*o**3 + 1/4*o = 0?
-1, 0
Let m(u) be the third derivative of -u**6/60 + u**5/15 - u**4/12 - 3*u**2. Factor m(n).
-2*n*(n - 1)**2
What is j in 1/3*j**2 - 7/3*j + 10/3 = 0?
2, 5
Suppose w = -2*w - 12. Let j(c) = -6*c**3 - 25*c**2 - 61*c - 37. Let z(f) = -2*f**3 - 8*f**2 - 20*f - 12. Let u(r) = w*j(r) + 11*z(r). What is l in u(l) = 0?
-2
Factor 0*t + 4/9*t**2 + 0*t**4 + 0 - 2/9*t**5 + 2/3*t**3.
-2*t**2*(t - 2)*(t + 1)**2/9
Let n(z) be the first derivative of -1/18*z**6 - 3 - 1/12*z**4 + 0*z**3 + 0*z**2 + 2/15*z**5 + 0*z. Factor n(c).
-c**3*(c - 1)**2/3
Let -r**3 + 4*r + 4 - 105*r**2 - 4*r**3 + 8*r**4 + r**3 + 93*r**2 = 0. Calculate r.
-1, -1/2, 1
Suppose -s + 12 = -3*g, 24 = 4*s + 2*g + 4. Suppose -3*o - o = -12. Suppose 16*m - s*m**4 + 4 + 0*m**4 + 2*m**4 - 13*m**o - 3*m**2 = 0. Calculate m.
-2, -1/4, 1
Suppose 8*o + 2 = 18. Determine g, given that -2/3*g**3 + 0 + 0*g + 2*g**o = 0.
0, 3
Factor -2/3*n + 1/3*n**3 + 1/3*n**5 + 2/3*n**2 + 1/6 - 5/6*n**4.
(n - 1)**3*(n + 1)*(2*n - 1)/6
Let m(s) be the third derivative of -s**5/15 - s**4/6 + 6*s**2. Determine w so that m(w) = 0.
-1, 0
Let l(q) be the first derivative of -q**4/6 - q**3 - 2*q**2 + 5*q - 2. Let f(g) be the first derivative of l(g). Let f(y) = 0. Calculate y.
-2, -1
Let v = 25 - 21. Factor -8*o**3 + 2*o + 0*o**4 + 2*o**3 - 6*o**2 - v*o - 2*o**4.
-2*o*(o + 1)**3
Let m(b) = 2*b**2 - 7*b + 5. Let s(k) = -8*k + 2*k**2 - 1 - 2 + 9. Let f(h) = -4*m(h) + 3*s(h). Factor f(y).
-2*(y - 1)**2
Let i be (-1)/(-2)*(-2)/(-9). Let x(d) be the second derivative of 0*d**3 + 2/15*d**5 + 4/189*d**7 + i*d**6 + 0*d**2 - 2/27*d**4 - 2*d + 0. Factor x(u).
2*u**2*(u + 2)**2*(4*u - 1)/9
Let k = 155 - 91. Determine r so that 8*r + k*r**3 - 1 + 36*r**5 - 12*r + 10*r**2 + 24*r**