Factor n(v).
2*(v - 1)**4*(v + 1)
Let g = -30157/13 - -2321. Find n, given that -22/13*n**2 + 20/13*n**3 + 0 + g*n**4 + 4/13*n = 0.
-2, 0, 1/4, 1/2
Let k(u) be the first derivative of 4*u**3/3 - 10*u**2 + 16*u + 8. Factor k(s).
4*(s - 4)*(s - 1)
Determine j so that 0 - 2/25*j - 2/25*j**2 = 0.
-1, 0
Let y(r) be the first derivative of -2*r**5/45 - 2*r**4/9 + 4*r**3/3 - 20*r**2/9 + 14*r/9 - 34. Solve y(q) = 0 for q.
-7, 1
Let u = -626/9 + 70. Factor -2/9*q**2 + u*q - 2/9.
-2*(q - 1)**2/9
Let p be (-7 - -2)*4/(-10). Suppose -2*h + 8 = p*h. Factor -2 - h*a**2 + 3*a + 0 + a**2.
-(a - 2)*(a - 1)
What is j in 4/5 - 3/5*j - 1/5*j**2 = 0?
-4, 1
Let y be (-27)/63 - 2/(-2). Let t be 16/(-14)*3/(-12). Factor y*b + t*b**2 + 0.
2*b*(b + 2)/7
Let x(l) be the second derivative of -l**7/105 + l**6/75 + l**5/25 - l**4/15 - l**3/15 + l**2/5 + l. What is p in x(p) = 0?
-1, 1
Let b = -1/90 - -11/18. Let p(a) be the first derivative of 2 - 4/5*a - 2/15*a**3 + b*a**2. Factor p(g).
-2*(g - 2)*(g - 1)/5
Let p(w) be the first derivative of -w**6/3 + 3*w**5/5 - w**3/3 - 52. Find a such that p(a) = 0.
-1/2, 0, 1
Let o = 948 - 159263/168. Let l(z) be the third derivative of 0*z + 1/10*z**6 + 0 + o*z**8 - 3*z**2 + 0*z**3 - 2/15*z**5 + 1/12*z**4 - 4/105*z**7. Factor l(n).
2*n*(n - 1)**4
Let c be (6/18)/((-1)/(-9)). Factor -82*f**c - 4*f**4 - 2*f**5 + 2*f + 4*f**2 + 82*f**3.
-2*f*(f - 1)*(f + 1)**3
Let o = -11412/11 - -1038. Solve 2/11*r**3 + 0*r + 8/11 - o*r**2 = 0 for r.
-1, 2
Let h(s) be the second derivative of 5/6*s**4 + 0*s**2 + 1/15*s**6 - 2/3*s**3 - 2/5*s**5 - s + 0. Factor h(u).
2*u*(u - 2)*(u - 1)**2
Factor -4/5 - 6/5*k - 2/5*k**2.
-2*(k + 1)*(k + 2)/5
Let q(k) be the third derivative of k**6/40 - k**5/20 - 5*k**4/8 - 3*k**3/2 + 9*k**2. Factor q(n).
3*(n - 3)*(n + 1)**2
Let y(k) be the second derivative of k**4/6 - k**3/3 - k**2/2 + 4*k. Let l be y(-1). Factor 0 + 1/3*q**2 - 1/3*q**l + 0*q.
-q**2*(q - 1)/3
Let d(q) = q**2 + q. Let r(h) = -h**2 - 2*h + 1. Let j(o) = 3*d(o) + 2*r(o). Let s(w) = -2*w**2 + w - 3. Let c(a) = 6*j(a) + 4*s(a). Factor c(g).
-2*g*(g + 1)
Let j(p) be the second derivative of 1/10*p**5 + 0*p**2 + 0 + 0*p**3 - 1/6*p**4 - 3*p. Let j(t) = 0. What is t?
0, 1
Let l = -594 - -5348/9. Factor 2/9*r**3 + l*r**2 - 10/9*r + 2/3.
2*(r - 1)**2*(r + 3)/9
Let q = -255 - -258. Solve -3/4*y**q + 0 + 0*y + 0*y**2 = 0.
0
Let u(c) be the third derivative of c**5/240 - c**3/24 - 4*c**2. Factor u(a).
(a - 1)*(a + 1)/4
Let k = -308 + 310. What is m in 1/2*m**k + 2 - 2*m = 0?
2
Let n(x) be the second derivative of x**4/30 + 7*x**3/15 - 8*x**2/5 + 21*x. Factor n(k).
2*(k - 1)*(k + 8)/5
Let c = 41 + -37. Factor c + 8/3*i**2 + 20/3*i.
4*(i + 1)*(2*i + 3)/3
Suppose -9 = 6*f - 8*f + 3*k, -5*k = -f + 8. Factor 1/6*c**4 - 1/6*c**2 + 1/6*c**f - 1/6*c + 0.
c*(c - 1)*(c + 1)**2/6
Let v = -131/7 - -19. Factor -v*b**2 - 2/7*b**3 + 2/7*b + 0 + 2/7*b**4.
2*b*(b - 1)**2*(b + 1)/7
Let f(y) = 4*y**2 - 7*y**2 - y**3 - 3*y + y. Let z be f(-2). Factor 3*x**4 - 2*x**5 - 4*x**3 + z*x**4 + 2*x**2 + 3*x**4 - 2*x**3.
-2*x**2*(x - 1)**3
Suppose -1/3*t + 0 + 0*t**3 + 1/3*t**5 + 2/3*t**2 - 2/3*t**4 = 0. Calculate t.
-1, 0, 1
Let x(n) be the third derivative of -n**8/1344 - n**7/105 - 5*n**6/96 - 19*n**5/120 - 7*n**4/24 - n**3/3 - 3*n**2. Solve x(f) = 0.
-2, -1
Find v, given that 0 + 1/2*v**3 + 1/6*v**4 - 1/6*v**2 - 1/2*v = 0.
-3, -1, 0, 1
Let k be 66/4 + 10/(-20). Suppose q + 3*q = k. Factor 2/5 + 0*l + 0*l**3 - 4/5*l**2 + 2/5*l**q.
2*(l - 1)**2*(l + 1)**2/5
Let i(l) = l**3 - l + 1. Let g(m) = 3*m**5 + 15*m**4 + 45*m**3 + 21*m**2 - 12*m + 18. Let a(o) = g(o) - 18*i(o). Factor a(h).
3*h*(h + 1)**3*(h + 2)
Let i(b) be the second derivative of -b**8/5880 + b**7/980 - b**6/420 + b**5/420 + 2*b**3/3 - 4*b. Let t(j) be the second derivative of i(j). Factor t(m).
-2*m*(m - 1)**3/7
Factor -1/8 - 1/8*y**3 - 3/8*y - 3/8*y**2.
-(y + 1)**3/8
Factor -17*x**2 + x**3 - 15*x**2 - 5*x**3 + 44*x**2.
-4*x**2*(x - 3)
Suppose -2*y = -3*y + 6. Let l be (-147)/(-28) - (-3)/4. Factor -u**2 - 2*u**2 + l*u + 4 + y*u**2 - u**2.
2*(u + 1)*(u + 2)
Let k(q) be the first derivative of -1/9*q**3 + 1 + 1/6*q**2 + 2/3*q. Factor k(m).
-(m - 2)*(m + 1)/3
Let a(u) = -u. Let k be a(-2). Let p(n) = 2*n**2 - 3*n + 3. Let f(q) = -q**2 + 2*q - 2. Let t(w) = k*p(w) + 3*f(w). Factor t(y).
y**2
Factor 4*o**3 + 0*o**2 + 7*o**2 - 16*o - 16 - 3*o**2.
4*(o - 2)*(o + 1)*(o + 2)
Suppose 8 + 7 = -5*v. Let d(n) = -18*n**2 - 6*n + 22. Let w(o) = -7*o**2 + o**2 + 7 - 2*o + 0*o**2. Let f(c) = v*d(c) + 10*w(c). Factor f(s).
-2*(s + 1)*(3*s - 2)
Suppose -6*y + 2*y + 28 = 0. Factor f + 4*f - 8 + y*f**2 + 6.
(f + 1)*(7*f - 2)
Let s(z) = 3*z**5 + 2*z**4 - 7*z**3 - 10*z**2 - 4. Let c(h) = 3*h**5 + 3*h**4 - 6*h**3 - 9*h**2 - 3. Let q(a) = 4*c(a) - 3*s(a). Factor q(w).
3*w**2*(w - 1)*(w + 1)*(w + 2)
Let u(y) be the second derivative of -1/30*y**5 + 0*y**3 + 3/2*y**2 + 0*y**4 + 0 - 2*y + 1/60*y**6. Let r(g) be the first derivative of u(g). Factor r(c).
2*c**2*(c - 1)
Suppose 0 = -2*s + 12 + 24. Let i = -16 + s. Find q such that 5/3*q**4 + 0*q + 0 - 1/3*q**3 - 1/3*q**i - q**5 = 0.
-1/3, 0, 1
Let c = 8 + -5. Let 6*w**3 - 2*w**3 - 3*w**c + w**4 = 0. Calculate w.
-1, 0
Suppose -5*z = 5*n + 10, -n + 4*z + 9 = 1. Let d(w) be the third derivative of 1/120*w**5 + n + 0*w + 0*w**4 - 1/12*w**3 - 4*w**2. Find p such that d(p) = 0.
-1, 1
Let d(g) be the first derivative of -2/5*g**3 + 2/25*g**5 - 1/10*g**4 + 4/5*g + 1/5*g**2 + 2. Determine x so that d(x) = 0.
-1, 1, 2
Let f(o) be the second derivative of o**6/80 + 11*o**5/160 + 5*o**4/96 - o**3/16 - 15*o. Solve f(g) = 0 for g.
-3, -1, 0, 1/3
Factor 1/5*o**4 - 12/5*o - 11/5*o**2 + 2/5*o**3 + 36/5.
(o - 2)**2*(o + 3)**2/5
Let o(z) be the first derivative of 6*z**5/35 + 6*z**4/7 + 8*z**3/7 + 21. Determine g, given that o(g) = 0.
-2, 0
Suppose 4*i = 57 + 23. Let h be 45/i + -1 + -1. Factor -1/2*l**2 + h*l**3 + 0*l + 0.
l**2*(l - 2)/4
Let k be (-304)/(-5)*15/(-10). Let g = 92 + k. Determine a, given that -a**3 - 1/5*a**4 + 0 - g*a - 8/5*a**2 = 0.
-2, -1, 0
Let w(i) be the third derivative of -i**8/110880 - i**7/13860 - i**6/3960 + i**5/20 + i**2. Let m(p) be the third derivative of w(p). Find j such that m(j) = 0.
-1
Let p(v) be the first derivative of -2*v**5/35 - 5*v**4/14 - 2*v**3/3 - 3*v**2/7 + 5. Suppose p(i) = 0. Calculate i.
-3, -1, 0
Let t be 5 + 6/(-1 - 2). Let r(j) be the third derivative of 1/3*j**4 - 2*j**2 - 1/6*j**5 + 1/30*j**6 + 0 + 0*j - 1/3*j**t. Determine m so that r(m) = 0.
1/2, 1
Suppose 0*q = -2*q. Let n = -741/7 + 107. Let 90/7*z**3 + n*z - 14*z**5 - 8*z**2 + 8*z**4 + q = 0. What is z?
-1, 0, 2/7, 1
Let q be (-81)/(-63)*(-6)/(-9). Factor -q*c**3 + 2/7*c**4 + 0 + 6/7*c**2 - 2/7*c.
2*c*(c - 1)**3/7
Let g(w) be the first derivative of -5*w**3/3 + 15*w**2/2 - 10*w + 13. Find m such that g(m) = 0.
1, 2
Let a(f) be the second derivative of f**8/20160 - f**6/2160 - f**4/12 + 5*f. Let w(q) be the third derivative of a(q). Factor w(o).
o*(o - 1)*(o + 1)/3
Let k(m) = -12*m**2 + 4*m + 2. Let z(h) = -h**2. Let j(p) = -2*k(p) + 28*z(p). Factor j(r).
-4*(r + 1)**2
Factor 20/3*a**2 + 4/3*a**3 + 0 - 4/3*a**4 + 4*a.
-4*a*(a - 3)*(a + 1)**2/3
Let h(n) be the second derivative of -n**5/110 + n**4/33 - n**3/33 + 4*n. Factor h(o).
-2*o*(o - 1)**2/11
Let j(t) = -6*t**2 + 4*t - 6. Let c(y) = y**2 + 1. Let n(x) = -8*c(x) - j(x). Factor n(m).
-2*(m + 1)**2
Let c(z) be the third derivative of z**6/120 - z**5/10 + z**3/3 - z**2. Let a be c(6). Find s, given that -4*s**a + 3*s**2 - s + 1 + 9*s**3 - 8*s**3 = 0.
-1, 1
Let n be (6/(-9))/(4/(-30)). Let q(x) = -x + 5. Let p be q(n). Let 3*v**2 - 3*v**3 + p*v + v + v**4 + 6*v**3 = 0. What is v?
-1, 0
Let a(k) be the second derivative of -k**5/50 + k**4/10 - k**3/5 + k**2/5 - 18*k. Factor a(z).
-2*(z - 1)**3/5
Let g(h) be the second derivative of -h**6/105 - h**5/35 + h**4/14 + 4*h**3/21 - 4*h**2/7 + 10*h. Factor g(b).
-2*(b - 1)**2*(b + 2)**2/7
Let y(q) be the second derivative of q**7/84 - q**5/40 - 7*q. Determine b so that y(b) = 0.
-1, 0, 1
Suppose 5*b - 275 = 4*s, -3*s = 27 - 12. Let w be 3/(b/14 + -3). Solve 6*a**2 - w*a - 4/3 = 0 for a.
-2/9, 1
Let l(m) = -16*m**3 + 16*m**2 - 7*m + 4. Let j(i) = 2*i - 2 + 15*i**3 - 15*i**2 + 0 + 4*i - 1. Let p(t) = 4*j(t) + 3*l(t). Factor p(