 - o**4/10 + 16*o**3/15 + 12*o**2/5 - 4. Suppose d(w) = 0. Calculate w.
-2, 0, 3
Let d = -610/3 - -2037/10. Let g = 7/10 - d. Determine p, given that 1/3*p**2 - g*p**4 - 1/3*p**5 + 1/3*p**3 + 0 + 0*p = 0.
-1, 0, 1
Let p(h) be the third derivative of 3*h**2 + 1/8*h**4 + 3/40*h**6 + 1/70*h**7 + 3/20*h**5 + 0 + 0*h + 0*h**3. Factor p(k).
3*k*(k + 1)**3
Let g be 0 + (-3)/(-1) + 0. Let l(q) = 5*q**4 - q**3 + q - 5. Let a(u) = 4*u**4 - 2*u**3 + 2*u - 4. Let r(n) = g*a(n) - 2*l(n). Determine s so that r(s) = 0.
-1, 1
Let y be (-1)/(-130)*(-15)/2. Let f = y + 327/260. Factor 0 + 2/5*g**4 + 2/5*g + 6/5*g**2 + f*g**3.
2*g*(g + 1)**3/5
Suppose 3*r = 3*y - 6, 4*y = 8*r - 3*r + 5. Let x(u) be the second derivative of 0*u**3 + 0 + 1/15*u**6 + u**2 + 0*u**y + 2*u - 1/3*u**4. Factor x(o).
2*(o - 1)**2*(o + 1)**2
Let y(i) be the second derivative of -i**4/4 - i**3 - 3*i**2/2 + 5*i. Suppose y(b) = 0. Calculate b.
-1
Let u(w) = w**3 - 11*w**2. Let q be u(11). Suppose -4*f + f + 12 = q. Determine l so that 3*l - f*l**2 + 2*l - 7*l - 2*l**3 = 0.
-1, 0
Let q(s) be the second derivative of 3*s**5/20 + s**4/4 - 2*s - 7. Let q(v) = 0. Calculate v.
-1, 0
Let n(g) be the third derivative of g**6/140 - g**4/28 + 22*g**2. Factor n(i).
6*i*(i - 1)*(i + 1)/7
Let c(i) be the second derivative of 3*i**5/70 - 15*i**4/28 + 31*i**3/14 - 18*i**2/7 + 47*i. Let c(l) = 0. Calculate l.
1/2, 3, 4
Let c = 10/33 + -3/22. Determine s, given that -1/6 + 1/6*s + c*s**2 - 1/6*s**3 = 0.
-1, 1
Let x be (-60)/45*(1 - 10/8). Factor x*m**2 - 2/3*m + 1/3.
(m - 1)**2/3
Suppose -4*h - h + 3*v + 34 = 0, 0 = -2*h + 3*v + 10. Find l such that 4*l**3 + 0*l - 10/3*l**4 - h*l**5 + 0 - 2/3*l**2 = 0.
-1, 0, 1/4, 1/3
Let p(f) be the third derivative of f**8/616 - f**7/1155 - f**6/132 + f**5/330 + f**4/66 + 13*f**2. Suppose p(b) = 0. Calculate b.
-1, -2/3, 0, 1
Let m(n) be the first derivative of -n**4/30 + n**2/5 + 3*n + 2. Let h(r) be the first derivative of m(r). Let h(x) = 0. What is x?
-1, 1
Let k(f) = -3*f - 1. Let c be k(-1). Suppose 5*n - c*d - 13 = 0, -4*d = -7*d + 3. Factor -8/5*h**2 - 8/5*h - 2/5*h**n + 0.
-2*h*(h + 2)**2/5
Let o(p) be the first derivative of p**5/35 - p**4/14 + 2. Factor o(i).
i**3*(i - 2)/7
Factor b**2 + 0 + 5/4*b**4 + 13/4*b**3 - b.
b*(b + 1)*(b + 2)*(5*b - 2)/4
Let x(m) be the first derivative of -m**5/60 + m**4/12 - m**3/6 + m**2 - 2. Let t(o) be the second derivative of x(o). Factor t(c).
-(c - 1)**2
Let j be (8/10)/((-22)/(-55)). Suppose 180/11*v**3 - 486/11 - 540/11*v**j - 30/11*v**4 + 810/11*v + 2/11*v**5 = 0. What is v?
3
Let d be 11 - (-1 - 0 - -2). Let i = -8 + d. Factor -b + 3/2*b**i + 0.
b*(3*b - 2)/2
Let u(k) = k**2 - 8*k + 10. Let o be u(7). Let p(d) be the first derivative of -o + 0*d + 2/45*d**5 - 1/18*d**4 + 0*d**2 - 2/27*d**3 + 1/27*d**6. Factor p(g).
2*g**2*(g - 1)*(g + 1)**2/9
Let y = -203 - -1018/5. Factor y*h - 3/5*h**2 + 0.
-3*h*(h - 1)/5
Let u = 26/21 + -4/7. Let u*g**3 - 2/3*g**2 + 0*g + 0 = 0. Calculate g.
0, 1
Let t(s) be the second derivative of s**4/12 + 5*s**3/6 - 2*s**2 + 8*s. Let y be t(-6). Factor i**y - 1/2*i**3 + 0 - 1/2*i.
-i*(i - 1)**2/2
Suppose -5*n - b + 8 = 2*b, 3*n = -2*b + 4. Let j(h) be the second derivative of 1/8*h**2 + 1/10*h**5 - 1/8*h**n - h + 0 + 0*h**3 - 1/40*h**6. Factor j(s).
-(s - 1)**3*(3*s + 1)/4
Suppose -5*b + 30 = 10. Find t, given that -b*t**5 - 6*t**3 + 2*t**5 - 6*t**2 + 3 + 3*t**4 - 14*t + 17*t + 5*t**5 = 0.
-1, 1
Let b = 786 - 786. Factor 2/5*w**3 + 1/5*w**4 - 1/5 - 2/5*w + b*w**2.
(w - 1)*(w + 1)**3/5
Suppose -2*k + 5*k - 9 = 0. Let n be k/((-27)/(-21)) - 2. Factor -1/3*a - 1/3 + 1/3*a**3 + n*a**2.
(a - 1)*(a + 1)**2/3
Let -10*u - 70 + 69 - 81*u**2 - 8*u = 0. Calculate u.
-1/9
Let z(s) be the first derivative of -s**6/60 + 2*s**5/15 - 5*s**4/12 + 2*s**3/3 + 3*s**2/2 + 2. Let h(q) be the second derivative of z(q). Factor h(n).
-2*(n - 2)*(n - 1)**2
Suppose -17*l + 25*l = 0. Determine x, given that 6/11*x**4 + l*x - 4/11*x**3 + 0*x**2 + 0 = 0.
0, 2/3
Suppose -u - 15 + 0 = 0. Let c be (-6)/u + (-8)/(-5). Determine j so that 0*j + 1/3*j**c + 0 = 0.
0
Let -11*m + 17*m - 6*m**2 + 2 - 4 + 2*m**3 = 0. Calculate m.
1
What is t in 2/3*t**4 + 0*t**3 + 0 - 4/3*t - 2*t**2 = 0?
-1, 0, 2
Let r be (5/(-2))/(15/(-12)). Let 27*p**2 - 360*p**4 + 11*p**3 + 37*p**3 - 700*p**5 + 7*p**2 - 2*p**r = 0. What is p?
-2/5, 0, 2/7
Suppose 0*p + p = 3*p. Let p - r**4 + 2/5*r - 9/5*r**2 + 12/5*r**3 = 0. Calculate r.
0, 2/5, 1
Let g = 2/833 - 27493/1666. Let z = -16 - g. Factor 3/2*p**2 + 3/2*p + z*p**3 + 1/2.
(p + 1)**3/2
Let j(n) be the first derivative of -4*n**3/3 - 6*n**2 + 40*n + 19. Suppose j(a) = 0. Calculate a.
-5, 2
Let r = -8 + 12. Factor 0 + 4*m - r*m**3 - 8 + 9*m**2 - m**2.
-4*(m - 2)*(m - 1)*(m + 1)
Let n(z) be the second derivative of 5/39*z**6 + 4/39*z**3 + 0 + 9/26*z**5 - 5*z + 0*z**2 + 4/13*z**4. Factor n(a).
2*a*(a + 1)*(5*a + 2)**2/13
Let h be (4/5)/((-648)/(-540)). Determine i so that -1/3 - 1/3*i + 2/3*i**2 - 1/3*i**4 - 1/3*i**5 + h*i**3 = 0.
-1, 1
Let v(u) be the first derivative of u**4/2 - 74*u**3/21 + 10*u**2/7 + 3. Factor v(x).
2*x*(x - 5)*(7*x - 2)/7
Let f be (20/(-25))/(1/(-5)). Let v(s) be the third derivative of 3/40*s**5 + 1/240*s**6 + 9/4*s**3 + 0 + 9/16*s**4 + 0*s + f*s**2. Factor v(u).
(u + 3)**3/2
Let k(s) = -s. Let m(w) = -w**2 + w - 2. Let n(i) = 6*k(i) - 3*m(i). Factor n(l).
3*(l - 2)*(l - 1)
Let p(k) = 9*k**4 - 60*k**3 + 123*k**2 + 78*k. Let w(q) = q**4 - q**3 + q**2 + q. Let u(t) = -p(t) + 3*w(t). Factor u(j).
-3*j*(j - 5)**2*(2*j + 1)
Factor 1/4*x**4 - 10*x + 25/4 + 2*x**3 + 3/2*x**2.
(x - 1)**2*(x + 5)**2/4
Suppose 0 = -2*y + 6 - 2. Suppose 2*k**3 - y*k**4 - 2/3*k**2 + 0*k + 2/3*k**5 + 0 = 0. Calculate k.
0, 1
Let f(n) = -n - 1. Let c(i) = 5*i - 1. Let w(k) = c(k) + 4*f(k). Let g be w(7). Factor -p**3 + 1 + 2*p**g - 3*p**3 + 2*p**3 + 2*p - 3.
-2*(p - 1)**2*(p + 1)
Let b(q) be the second derivative of -q**5/100 - q**4/30 - q**3/30 + q. Factor b(z).
-z*(z + 1)**2/5
Let d = -1991/7 - -285. Factor d*t**2 + 0 - 2/7*t - 2/7*t**3.
-2*t*(t - 1)**2/7
Factor -3/7*k**2 - 3/7*k**3 + 3/7 + 3/7*k.
-3*(k - 1)*(k + 1)**2/7
Let b(u) be the third derivative of u**7/10080 + u**6/720 + u**5/120 - u**4/4 + 5*u**2. Let c(p) be the second derivative of b(p). Solve c(x) = 0 for x.
-2
Let -4/3*l**4 + 4*l**2 - 16/3 + 8/3*l**3 - 16/3*l = 0. Calculate l.
-1, 2
Suppose 3*t - 16 = -t. Let g(h) be the third derivative of 0*h + 2/3*h**3 + 0 + 1/30*h**5 + 1/4*h**t - h**2. Solve g(j) = 0.
-2, -1
Suppose -3*x + 8*x + 2*d = 20, -x + 4 = 4*d. Suppose -m - 3*m + 40 = -4*u, 2*u = x*m - 34. Find w such that -7 - 8*w**3 + 2*w**4 + m - 4*w + 10*w**2 = 0.
0, 1, 2
Let s(v) be the third derivative of -3*v**2 - 1/1155*v**7 + 1/66*v**4 + 0*v + 1/66*v**5 + 1/220*v**6 - 1/1848*v**8 + 0*v**3 + 0. Determine b so that s(b) = 0.
-1, 0, 2
Determine o, given that -25 - o**2 + 32*o + 42*o - 64*o = 0.
5
Factor 10/7*x - 12/7 + 2/7*x**2.
2*(x - 1)*(x + 6)/7
Factor 20*a**3 + 9 - 39*a**3 + 3*a**2 - 15*a + 22*a**3.
3*(a - 1)**2*(a + 3)
Factor 7*x**2 - 53*x - 2*x**4 + 49*x - 3*x**3 + x**4 + x**3.
-x*(x - 1)**2*(x + 4)
Let g be (9/(-6))/(2/20). Let p = 15 + g. Factor p*x**2 + 2/5 - 1/5*x**3 + 3/5*x.
-(x - 2)*(x + 1)**2/5
Suppose j + 3*h = 2, -5*j + h + 2*h + 64 = 0. Let b = -8 + j. Suppose 0*c**b - 4/9*c**2 + 2/9 + 2/9*c**4 + 0*c = 0. Calculate c.
-1, 1
Let j = -8 - -5. Let h(p) = -5*p**2 + p + 1. Let v(q) = -26*q**2 + 4*q + 6. Let o(u) = j*v(u) + 16*h(u). Solve o(t) = 0 for t.
1
Let k(u) = u**3 + 3*u**2 + 2*u - 2. Let x(a) = 3*a**2 - 1 + a**3 + 0*a**2 + a - 2*a**2. Let i(g) = k(g) - 2*x(g). Find j such that i(j) = 0.
0, 1
Let d = -467 - -2338/5. Factor 12/5 + 12/5*w + d*w**2.
3*(w + 2)**2/5
Suppose -5*k + i = -3*i, -10 = -2*i. Let w be 36/15 + k/10. Suppose -2*y + 4/5 - 18/5*y**2 + 2*y**3 + w*y**4 = 0. Calculate y.
-1, 2/7, 1
Suppose 0 = -4*m - 4 + 8. Determine f so that -2*f + m + 2*f**3 - f**4 - 1 + 1 = 0.
-1, 1
Suppose -8 = 3*p + 31. Let o be 1/(-3) + p/(-3). Suppose -7*i**3 + i + 0*i - 3*i - 2*i**o + 2*i**2 + 9*i**3 = 0. What is i?
-1, 0, 1
Suppose 0 = 5*l - 29 + 9. Factor -c**l + 3 - c**4 + 4*c + 2*c**3 - 6*c**3 - 1.
-2*(c - 1)*(c + 1)**3
Suppose -2 - 1 = -h. Let y(t) = -3*t**2 + 5*t + 2. Let j(m) = 1 - 2*m**2 + 2*m + 2*m + 0. Let x(q) = h*y(q) - 4*j(q). Find 