(z + -27). Factor 1/5*x + 2/5*x**4 - 1/5*x**5 + 0 + 0*x**3 - w*x**2.
-x*(x - 1)**3*(x + 1)/5
Suppose -4*d + 2 - 2 = 0. Solve d - 2/5*b - 2/5*b**4 + 2/5*b**3 + 2/5*b**2 = 0 for b.
-1, 0, 1
Let b(f) be the second derivative of f**8/23520 - f**6/2520 - f**4/12 - f. Let i(v) be the third derivative of b(v). Find z, given that i(z) = 0.
-1, 0, 1
Let z be 1 + (-7)/(35/(-10)). Suppose -z = -2*d + d. Factor 0*x**2 + 2/5*x - 2/5*x**d + 0.
-2*x*(x - 1)*(x + 1)/5
Solve 4*j**3 + 118*j - 10*j - 19*j**2 + 55*j**2 + 108 = 0 for j.
-3
Let d = 173/636 - 10/53. Let b(p) be the third derivative of 0*p + 0 - d*p**5 + 1/24*p**4 + 1/40*p**6 + 1/6*p**3 + 2*p**2. Determine w, given that b(w) = 0.
-1/3, 1
Let g(d) = d**2 + 5*d - 4. Let q be g(-6). Find t such that 6*t - t**3 + t**2 + 10*t + 5*t**3 - 17*t**q = 0.
0, 2
Factor 48 + 4/3*k**4 - 16*k + 8/3*k**3 - 44/3*k**2.
4*(k - 2)**2*(k + 3)**2/3
Let u be ((-2)/(-5))/(7/10). Let k = 2 - 0. Determine h so that 2/7 + 2/7*h**k - u*h = 0.
1
Let m be (-5 - -2) + (-108)/(-28). What is u in 6/7*u**4 + 2/7*u**5 + 0 + 0*u + 2/7*u**2 + m*u**3 = 0?
-1, 0
Factor 204*j**4 + 24 + 54*j + 17*j**2 + 16*j**2 + 207*j**4 - 414*j**4.
-3*(j - 4)*(j + 1)**2*(j + 2)
Let z(d) = -11*d**2 + 9*d - 14. Let o(a) be the first derivative of -4*a**3/3 + 3*a**2/2 - 5*a + 5. Let u(v) = -8*o(v) + 3*z(v). Factor u(g).
-(g - 2)*(g - 1)
Let b be ((-2)/(-6))/((-168)/(-126)). Factor -1/4*u + 0 - 1/2*u**2 - b*u**3.
-u*(u + 1)**2/4
Suppose 5*i - 44 = -2*h, 0*i = i - 4*h. Factor -v + 242*v**2 - 7*v - 55*v - 25*v + i.
2*(11*v - 2)**2
Factor -2/13*g**3 + 0 - 6/13*g + 8/13*g**2.
-2*g*(g - 3)*(g - 1)/13
Let a = 13 - 63/5. Let k(s) be the second derivative of -4/5*s**2 + 0 - 1/10*s**4 - 1/100*s**5 - 3*s - a*s**3. Factor k(o).
-(o + 2)**3/5
Let m(v) = -2*v**3 + 6*v**2 - 8*v + 4. Let b(l) be the second derivative of 4*l - 1/2*l**2 + 1/6*l**3 + 0. Let f(u) = 4*b(u) + m(u). Let f(x) = 0. Calculate x.
0, 1, 2
Let p(i) be the third derivative of i**8/8960 + i**7/1680 + i**6/960 - i**4/12 - 2*i**2. Let u(g) be the second derivative of p(g). Factor u(r).
3*r*(r + 1)**2/4
Find k, given that 0*k - 1/3*k**2 + 1/3*k**3 + 0 - 1/3*k**5 + 1/3*k**4 = 0.
-1, 0, 1
Let q = -2 - -7. Let w be 0/q - 3/(-2). Factor -9/2*r - w - 9/2*r**2 - 3/2*r**3.
-3*(r + 1)**3/2
Let w be -31*(-2)/12 + (-7 - -2). Suppose 1/3*y - w*y**4 + 1/2*y**3 + 5/6*y**2 + 0 - 1/6*y**5 = 0. What is y?
-1, 0, 2
Suppose -n - 3 = -6. Suppose -2*g - n*g = 0. Determine m so that -1/2*m**2 + 1/2*m - 3/2*m**3 + 1/2*m**4 + m**5 + g = 0.
-1, 0, 1/2, 1
Let v be 2/9*21 - (-5)/15. Let w(r) be the third derivative of 2/21*r**3 - 1/210*r**v + 0*r + 0 + 3*r**2 + 1/84*r**4. Factor w(h).
-2*(h - 2)*(h + 1)/7
Suppose -8 = 17*y - 21*y. Let m(w) be the first derivative of 1/3*w**3 + 2*w + 3/2*w**2 + y. Factor m(b).
(b + 1)*(b + 2)
Let -2*g + 4*g**3 - 35*g**5 + 0*g + 33*g**5 = 0. What is g?
-1, 0, 1
Let x(s) be the third derivative of 0*s - 1/60*s**5 - 2*s**2 + 0*s**3 + 1/24*s**4 + 0. Determine d, given that x(d) = 0.
0, 1
Factor 19*w + 21*w - 12 - 49*w + 3*w**2.
3*(w - 4)*(w + 1)
Let u be (4/18)/(8/(-2640)). Let k = u - -74. Suppose 2/3*b - 2/3*b**2 + k - 2/3*b**3 = 0. What is b?
-1, 1
Let r(s) be the first derivative of 6/5*s**5 - 2*s**3 + 1/2*s**6 + 0*s - 3 + 0*s**2 - 3/4*s**4. Determine m, given that r(m) = 0.
-2, -1, 0, 1
Let x(m) = 2*m**2 + 14*m + 14. Let c(p) = p**2 - 1. Let f(q) = -10*c(q) - x(q). Factor f(g).
-2*(2*g + 1)*(3*g + 2)
Let g be 16/5 + 22/(-110). Suppose 5/3*d**4 + 13/3*d**g - 4/3*d + 4/3*d**2 + 0 = 0. What is d?
-2, -1, 0, 2/5
Let o(g) = g**3 - g**2 + 1. Let k(d) = 4*d**3 - d + d + 3*d**3 + d**4 + 3 + d**2. Let h(f) = -2*k(f) + 6*o(f). Find z, given that h(z) = 0.
-2, 0
Factor -2*d**3 + 3*d - 6*d**4 - 3*d**5 + 2*d**3 + 6*d**2 + 0*d**4.
-3*d*(d - 1)*(d + 1)**3
Let z(q) be the second derivative of q**2/2 - 4*q. Let h(l) = l**2 + l - 3. Let n(k) = -h(k) - z(k). Find u, given that n(u) = 0.
-2, 1
Let h(y) be the third derivative of 0 + 0*y**3 + 0*y + 1/24*y**4 - 1/105*y**7 + 1/30*y**5 + 4*y**2 - 1/120*y**6. Suppose h(q) = 0. What is q?
-1, -1/2, 0, 1
Let x(s) be the third derivative of 1/60*s**5 - 1/210*s**7 + 0 + 1/120*s**6 + 0*s - 1/24*s**4 + 0*s**3 - 2*s**2. Solve x(t) = 0.
-1, 0, 1
Let l(w) be the third derivative of -2*w**7/21 - 4*w**6/15 + 3*w**5/5 + 4*w**4/3 - 8*w**3/3 - 12*w**2. Let l(p) = 0. What is p?
-2, -1, 2/5, 1
Suppose -5*j = -3*j - 5*y - 8, 0 = -4*j + 3*y + 44. Let w be 4/j + 12/(-42). Factor w*c + 0 + 2/3*c**4 + 2/3*c**2 + 4/3*c**3.
2*c**2*(c + 1)**2/3
Let x = -9 + 13. Suppose 0 = -s + x - 1. Find v, given that 2*v**s - 6*v**2 + 0*v**3 + 4*v**2 = 0.
0, 1
Let w(q) = q**3 - 4*q**2 + 2*q + 1. Let o be w(2). Let t = o + 10/3. Suppose -1/3*h + t - 1/3*h**2 + 1/3*h**3 = 0. What is h?
-1, 1
Factor 2*o - 2/3 - 4/3*o**3 - 4/3*o**2 + 2*o**4 - 2/3*o**5.
-2*(o - 1)**4*(o + 1)/3
Let b(k) be the third derivative of k**8/560 - k**7/140 + k**5/20 - k**4/8 - 2*k**3/3 + 6*k**2. Let m(s) be the first derivative of b(s). Factor m(o).
3*(o - 1)**3*(o + 1)
Let w(n) = -n. Let v(d) = -4*d**4 + 10*d**3 - 6*d**2 + d + 2. Suppose 3 + 0 = 3*i. Let f(c) = i*v(c) + 3*w(c). Find x such that f(x) = 0.
-1/2, 1
Factor 6*z**3 - 3*z**4 - 8*z + 4*z**4 + 8*z**2 - 5*z**4 - 2*z**5.
-2*z*(z - 1)**2*(z + 2)**2
Suppose 2/7*y**4 - 6/7*y**2 + 10/7*y - 4/7 - 2/7*y**3 = 0. What is y?
-2, 1
Let o = 85 + -45. Let q be ((-2)/(-5))/(48/o). Determine n so that 1/3*n**3 + q*n**2 - 1/3*n + 0 - 1/3*n**4 = 0.
-1, 0, 1
Determine m, given that 96 + 2/3*m**2 - 16*m = 0.
12
Factor -12*d**5 - d**2 + 7*d**4 + 2*d**2 - 20*d**3 + 3*d**2 + 21*d**4.
-4*d**2*(d - 1)**2*(3*d - 1)
Let u(t) be the first derivative of t**9/9072 - t**8/2520 + t**7/2520 + 2*t**3/3 - 9. Let a(h) be the third derivative of u(h). Let a(x) = 0. What is x?
0, 1
Let d(l) be the first derivative of l**8/280 - l**7/42 + l**6/15 - l**5/10 + l**4/12 + l**3/3 - 1. Let h(f) be the third derivative of d(f). Factor h(z).
2*(z - 1)**3*(3*z - 1)
Let y be (-8)/28 + 32/14. Let w(m) be the first derivative of -1/2*m**2 - 1 - 1/3*m**3 + y*m. Let w(n) = 0. What is n?
-2, 1
Let q(k) be the first derivative of -k**3/4 + 3*k**2/4 - 3*k/4 - 3. Factor q(a).
-3*(a - 1)**2/4
Let w(l) be the second derivative of 3*l**5/40 + 5*l**4/4 + 25*l**3/4 - 3*l - 6. Let w(y) = 0. What is y?
-5, 0
Let h be ((-3 - -1) + (-8)/(-3))*3. Find a, given that 2*a + 2/3*a**h - 2*a**3 + 2/3*a**4 - 4/3 = 0.
-1, 1, 2
Factor 387*h**2 + h - 2 - 389*h**2 + 3*h.
-2*(h - 1)**2
Let n(t) be the second derivative of -5*t**4 + 22*t**3/3 - 4*t**2 + 4*t. Factor n(r).
-4*(3*r - 1)*(5*r - 2)
Let c = 53 + -32. Let v be (-2 - -1)/((-7)/c). Factor -4/9*w**v + 0*w**4 + 0 + 0*w**2 + 2/9*w + 2/9*w**5.
2*w*(w - 1)**2*(w + 1)**2/9
Let x(u) = -477*u**3 + 660*u**2 - 199*u + 23. Let q(y) = 239*y**3 - 330*y**2 + 99*y - 11. Let w(r) = -7*q(r) - 3*x(r). Factor w(z).
-2*(z - 1)*(11*z - 2)**2
Let c be (-38608)/(-156) + (-1)/3. Let n = c + -247. Factor -n + 10/13*o**2 + 6/13*o**3 + 2/13*o.
2*(o + 1)**2*(3*o - 1)/13
Find d, given that -4*d**5 - 16*d**2 + 3*d + 3*d - 12*d**3 + 10*d + 16*d**4 = 0.
-1, 0, 1, 2
Let h be (-2)/7 + 0 - 3600/(-3780). Find m, given that 2*m - h - 2*m**2 + 2/3*m**3 = 0.
1
Let h(p) be the third derivative of 0 + 1/20*p**6 + 1/6*p**3 + 0*p + 7*p**2 + 13/72*p**4 + 1/90*p**7 + 1/1008*p**8 + 11/90*p**5. Let h(d) = 0. What is d?
-3, -1
Factor 3*o**2 - 75*o + 77*o - o**3 + o**3 - o**4.
-o*(o - 2)*(o + 1)**2
Let u(p) = 17*p**4 - 21*p**3 + 4*p**2 + 5. Let x(j) = 26*j**4 - 32*j**3 + 6*j**2 + 8. Let g(h) = 8*u(h) - 5*x(h). Factor g(l).
2*l**2*(l - 1)*(3*l - 1)
Let d(u) be the first derivative of -2*u**3/27 + u**2/9 + 4*u/9 + 19. Let d(n) = 0. What is n?
-1, 2
Let o(b) be the third derivative of b**5/420 + b**4/168 - b**3/21 - 6*b**2. Factor o(f).
(f - 1)*(f + 2)/7
Let g(f) = 10*f**3 - 16*f**2 + 18*f + 6. Let j(t) = -29*t**3 + 48*t**2 - 53*t - 17. Let w(q) = 17*g(q) + 6*j(q). Factor w(i).
-4*i*(i - 3)*(i - 1)
Suppose -3*m + 4*m = 4, -3*x - m = -7. Let n(w) = 3*w**2. Let u be n(x). Suppose 2/7*t**u - 2/7*t + 0*t**2 + 0 = 0. What is t?
-1, 0, 1
Solve 10/13*s + 2/13*s**2 - 12/13 = 0.
-6, 1
Let o(a) be the second derivative of 1/210*a**7 + 0 - 1/10*a**2 + 1/10*a**5 - 1/6*a**4 - 1/30*a**6 + a + 1/6*a**3. Factor o(g).
(g - 1)**5/5
Let s(v) be the third derivative of 