y**4 + 0 + 0*y**s - 3/4*y**2 + 1/4*y = 0?
-1, 0, 1/2
Let t(j) be the third derivative of -j**7/105 - 3*j**6/20 - j**5/2 + 25*j**4/12 + 16*j**2. Let t(i) = 0. Calculate i.
-5, 0, 1
Let p(w) be the second derivative of 3*w**6/2 + 6*w**5 - 35*w**4/6 - 40*w**3/3 - 15*w**2/2 - 6*w. Factor p(i).
5*(i - 1)*(i + 3)*(3*i + 1)**2
Let d(b) be the second derivative of 5*b + 1/6*b**3 + b**2 + 1/10*b**5 + 0 - 5/12*b**4. Find r, given that d(r) = 0.
-1/2, 1, 2
Let d = 239/6 + -1499/42. Let i = -27/7 + d. Factor 2/7*x**4 - 4/7 - 6/7*x + i*x**2 + 6/7*x**3.
2*(x - 1)*(x + 1)**2*(x + 2)/7
Let g(m) be the second derivative of -m**10/10080 + m**9/1260 - m**8/560 + m**4/2 - 4*m. Let w(i) be the third derivative of g(i). Let w(d) = 0. Calculate d.
0, 2
Suppose 3*r + z = -0*z - 3, 11 = -r + 3*z. Let h be (1/r)/(7/(-4)). Factor 2/7*q + 6/7*q**3 - h*q**4 - 6/7*q**2 + 0.
-2*q*(q - 1)**3/7
Let i be (-16)/(-6) - (-18)/(-27). Suppose -3*m = -i*m - 6. Determine u, given that 0*u**3 - 6*u - 2*u**3 + 2 + m*u**2 + 0*u**3 = 0.
1
Factor -2/7*g + 0 + 2/7*g**2.
2*g*(g - 1)/7
Let o = -3123735/361 - -8653. Let h = o + 736/2527. Factor 0 + h*n**3 - 2/7*n - 2/7*n**2 + 2/7*n**4.
2*n*(n - 1)*(n + 1)**2/7
Let j(l) be the first derivative of -l**8/840 + l**7/105 - l**6/60 - l**5/15 + l**4/3 + l**3 + 4. Let h(y) be the third derivative of j(y). Factor h(s).
-2*(s - 2)**2*(s - 1)*(s + 1)
Let q(b) be the first derivative of 1/3*b**2 + 2 - 2/9*b**3 + 4/3*b. Solve q(j) = 0 for j.
-1, 2
Suppose 6*h - 9/2*h**2 + 6 = 0. What is h?
-2/3, 2
Let c(n) be the third derivative of -1/336*n**8 - 1/210*n**7 + 0*n + 0*n**3 + 0 + 1/120*n**6 + 1/60*n**5 + 0*n**4 - n**2. Factor c(t).
-t**2*(t - 1)*(t + 1)**2
Let j(z) be the second derivative of z**9/1512 + z**8/168 + 2*z**7/105 + z**6/45 + z**3/3 + z. Let v(c) be the second derivative of j(c). Factor v(n).
2*n**2*(n + 1)*(n + 2)**2
Factor -2/5 - 1/5*l**2 + 3/5*l.
-(l - 2)*(l - 1)/5
Let y be 2/(4 + (-3 - 0))*1. Let l(c) be the first derivative of -4/9*c**3 + 2/15*c**5 + 0*c**y - 2 + 0*c**4 + 2/3*c. Factor l(x).
2*(x - 1)**2*(x + 1)**2/3
Let j = -145878/5 - -29297. Let s = -121 + j. Let 0 - 2/5*g**2 - s*g = 0. What is g?
-1, 0
Suppose 3*j - 4*b - 2 = 0, 4*j - 9*j + 2*b + 8 = 0. Suppose j*d = -2 + 8. What is l in -5*l**3 + 6*l**3 + l**d - 3*l**4 = 0?
0, 2/3
Let p be 3/(-3 - 135/(-10)). Let -p*l**2 - 2/7*l**3 + 2/7*l + 2/7 = 0. What is l?
-1, 1
Let r(f) be the third derivative of -3/4*f**4 - f**2 + 0 + 4/105*f**7 - 1/15*f**5 + 0*f - 2/3*f**3 + 3/20*f**6. Let r(l) = 0. Calculate l.
-2, -1, -1/4, 1
Let a(m) = -m - 9. Let v be a(-8). Let x = v - -4. Factor -4*s**2 + 2*s + 2*s**x + 4 - 4.
2*s*(s - 1)**2
Let v(j) be the first derivative of j**5/25 - j**4/20 - 9. Factor v(u).
u**3*(u - 1)/5
Let z(o) be the first derivative of o**7/105 + o**6/25 + 3*o**5/50 + o**4/30 + 7*o - 6. Let t(n) be the first derivative of z(n). Let t(v) = 0. What is v?
-1, 0
Let 4/5 - 2/5*c**3 + 8/5*c**2 - 2*c = 0. What is c?
1, 2
Let m(x) be the first derivative of -x**6/18 + x**5/3 - 3*x**4/4 + 7*x**3/9 - x**2/3 - 3. Factor m(p).
-p*(p - 2)*(p - 1)**3/3
Let v(d) be the second derivative of -d**7/42 - d**6/15 + d**4/6 + d**3/6 + 6*d. Factor v(g).
-g*(g - 1)*(g + 1)**3
Let i be (-180)/200*(2 - 22/9). Determine a so that -i*a**3 + 0 - 8/5*a**2 - 8/5*a = 0.
-2, 0
Let u(o) be the second derivative of -o**6/45 - o**5/15 + 2*o**3/9 + o**2/3 + 9*o. Find w such that u(w) = 0.
-1, 1
Suppose 0 = 8*b - 2*b. Let u(f) be the second derivative of b - 2*f - 1/2*f**2 + 0*f**3 + 1/12*f**4. Factor u(j).
(j - 1)*(j + 1)
Let o(j) be the third derivative of -j**5/30 + j**4/6 + j**3 - 8*j**2. Suppose o(w) = 0. Calculate w.
-1, 3
Let g(v) = -v**3 + 8*v**2 - 14*v + 49. Let m be g(7). Factor 9/2*u**3 + 2*u**5 - u**2 - 6*u**4 + m*u + 0.
u**2*(u - 2)*(2*u - 1)**2/2
Let f(a) = 4*a**3 - 20*a**2 + 8*a - 8. Let g(u) = u**3 + u**2 + u - 1. Let j(v) = -f(v) + 8*g(v). Determine z so that j(z) = 0.
-7, 0
Let g(p) be the second derivative of p**5/4 - 5*p**3/2 - 5*p**2 + 2*p. Let g(z) = 0. Calculate z.
-1, 2
Suppose 4*w = 3*j - 14, -7*w + 2*w = -2*j + 14. Factor 4*k - 5*k + 1 - k**4 - k + j*k**3.
-(k - 1)**3*(k + 1)
Let f(o) be the first derivative of 0*o - 10 - 2/15*o**5 - 1/2*o**4 + o**2 + 2/9*o**3. Factor f(c).
-2*c*(c - 1)*(c + 1)*(c + 3)/3
Let h(b) = 1. Let w(p) = 3*p**2 + 8*p - 2. Suppose 3*y = -2*m - 3, 4*m - 3*y - 26 = 13. Let n(s) = m*h(s) + w(s). Factor n(o).
(o + 2)*(3*o + 2)
Let a(d) be the first derivative of 0*d + 3/2*d**4 + 0*d**2 + 2/5*d**5 + 4/3*d**3 - 3. Let a(t) = 0. What is t?
-2, -1, 0
Let -4/3*y**3 - 2*y**2 - 1/3*y**4 - 1/3 - 4/3*y = 0. What is y?
-1
Factor -16/5 - 6/5*z**3 + 2/5*z**4 + 24/5*z - 4/5*z**2.
2*(z - 2)**2*(z - 1)*(z + 2)/5
Factor 0*n**2 + 2*n**2 - 46 + 2*n**2 + 34 + 8*n.
4*(n - 1)*(n + 3)
Suppose -b + 4*h + 14 = 2*h, 20 = -4*h. Suppose -4*s**4 + 2*s**3 - s - s**5 + 3*s**4 + 2*s**2 + 0*s**b - 1 = 0. Calculate s.
-1, 1
Factor 2*f**2 + 8*f + 0*f - 6*f**2 + 2*f**2 - 8.
-2*(f - 2)**2
Let f(i) = -4 + i - 5*i - 3 + i**2. Let l be f(5). Let m(a) = -a**3 - 16*a**2 - a + 9. Let k(x) = 4*x**2 - 2. Let d(t) = l*m(t) - 9*k(t). Solve d(h) = 0.
0, 1
Let c(x) be the second derivative of x**5/90 + x**4/18 + x**3/9 + x**2/9 + 3*x. Factor c(s).
2*(s + 1)**3/9
Let i(k) be the first derivative of 3*k**5/5 + 3*k**4/4 - k**3 - 3*k**2/2 - 2. Factor i(p).
3*p*(p - 1)*(p + 1)**2
Suppose 11*s = 5*s - 0*s. Suppose 0 + 6/5*r**2 - 3/5*r**3 + s*r = 0. Calculate r.
0, 2
Suppose 2*q + 1 = 7. Let f(u) be the second derivative of -1/42*u**4 - 1/70*u**5 - u + 0*u**2 + 1/147*u**7 + 0 + 0*u**q + 1/105*u**6. Solve f(p) = 0 for p.
-1, 0, 1
Factor -1/7*x**2 + 1/7*x**4 + 8/7*x + 0 - 8/7*x**3.
x*(x - 8)*(x - 1)*(x + 1)/7
Let c(i) = 6*i**4 - 34*i**3 - 100*i**2 - 74*i. Let s(x) = x**4 - 7*x**3 - 20*x**2 - 15*x. Let u(b) = 3*c(b) - 14*s(b). Factor u(a).
4*a*(a - 3)*(a + 1)**2
Suppose 0*g + g + 10 = 5*q, 5*g + 8 = 4*q. Let z(i) be the second derivative of g*i**2 + 1/70*i**5 - 1/21*i**3 - 1/42*i**4 + 1/105*i**6 + i + 0. Factor z(h).
2*h*(h - 1)*(h + 1)**2/7
Let z(m) = -3*m**4 - 5*m**3 + 3*m**2 + 5*m. Let a(w) = 11*w**4 + 20*w**3 - 11*w**2 - 20*w. Let y(x) = -2*a(x) - 9*z(x). Factor y(k).
5*k*(k - 1)*(k + 1)**2
Let t be (5/(-2))/(2/(-4)). Let v(p) = -2*p + 12. Let y be v(t). Find g, given that -1/2 - 1/2*g**y + g = 0.
1
Suppose 4*c + 12 = 4*i, 2*i + 3*i - 6 = -4*c. Suppose 2*v + 2 = 3*v, -6 = i*l - 3*v. Factor 1 - 2*o**2 + o**2 + l*o**2 + 0*o**2.
-(o - 1)*(o + 1)
Let h be (-110)/33*(-4)/30. Let a = 4/43 - -50/387. Find c such that -2/9*c**2 - a - h*c = 0.
-1
Let k be (0*(-1 - 0))/(-1). Let r(p) be the second derivative of 1/9*p**3 + 1/36*p**4 - 2*p + k*p**2 + 0. Factor r(y).
y*(y + 2)/3
Let k(x) be the second derivative of -2*x - 4/3*x**3 + 0 + 0*x**2 - 1/3*x**4. Factor k(d).
-4*d*(d + 2)
Let l(g) be the first derivative of g**6/33 - g**4/22 + 1. What is u in l(u) = 0?
-1, 0, 1
Suppose 3*r - 2*f + 3*f = 11, -2*f = 5*r - 20. Suppose -g = -3*g + 4. Suppose -h - h**r + 0*h + g*h = 0. Calculate h.
0, 1
Let n(x) be the third derivative of -x**6/720 - x**5/18 - 25*x**4/36 + 36*x**2. Factor n(v).
-v*(v + 10)**2/6
Let v(n) be the third derivative of -n**8/504 + 32*n**7/1575 - 19*n**6/300 + 19*n**5/225 - 2*n**4/45 - 36*n**2. Solve v(h) = 0.
0, 2/5, 1, 4
Suppose -3*t + t + 8*t = 0. Solve 1/5*o**4 + t*o + 0 - 2/5*o**3 + 1/5*o**2 = 0.
0, 1
Determine o so that 3*o**3 + 9*o**2 + 0*o + 10*o + 3 - o = 0.
-1
Let i = 44 + -12. Find q, given that -8*q + 4*q**3 - 9*q**3 - 2*q**3 + i*q**2 - 7*q**3 = 0.
0, 2/7, 2
Let d = -3 + 7. Find c such that 29*c**4 - 60*c**3 + 22*c**2 - 104*c**d - 34*c**2 = 0.
-2/5, 0
Let v(o) be the third derivative of -o**6/120 + o**5/15 - o**4/12 - o**3/6 - 3*o**2. Let d be v(2). Solve 0 + 2/3*u**2 - 2/3*u**d - 2/3*u**4 + 2/3*u = 0.
-1, 0, 1
Let f be 4/((-144)/(-189)) - (-10)/(-2). Determine g, given that -1/4*g**2 - 1/2*g - f = 0.
-1
Let z(p) be the second derivative of -2/33*p**3 + 1/11*p**2 + 5*p + 1/66*p**4 + 0. Factor z(v).
2*(v - 1)**2/11
Let h(o) = -3*o - 2. Let u be h(-2). Let b be 19/u - (-1)/4. Factor 6*j**3 - 2*j**2 + 3*j**4 - 3*j**b - 2*j**3 - j**2 - j**3.
-3*j**2*(j - 1)**2*(j + 1)
Suppose -3*m + 8*m - 5*n - 5 = 0, -2*m + 3*n = 0. Factor -8 + 0 + 1 - 2*h + m + 2*h**2.
2*(h - 2)*(h + 1)
Let k(a) be the first derivative of 1 