et l(y) be the second derivative of -4/39*y**3 - 8/13*y**2 + 1/39*y**4 + 0 - y + 1/130*y**5. Factor l(z).
2*(z - 2)*(z + 2)**2/13
Suppose 5*x + 5*j + 0 = 25, 4*x - 4*j - 12 = 0. Let n = x - -1. Find r such that -r**3 + 9*r**n - r**3 - 5*r**4 - r**5 - r**5 = 0.
-2/7, 0, 1
Suppose -3 = -4*d - 5*k, -2*d = 3*k - 0*k + 1. Let i be (-6)/d*147/(-84). Factor -i*g**2 + 3*g - 3/2.
-3*(g - 1)**2/2
Determine u, given that 2*u**3 + 0*u**2 - 7*u**3 - 2*u**2 + 3*u**3 = 0.
-1, 0
Let f = 51 - 48. Factor -4/11 + 0*g**2 + 6/11*g - 2/11*g**f.
-2*(g - 1)**2*(g + 2)/11
Let y(n) = 2*n**3. Let d(x) = x**3 - 2*x**2. Suppose -3*p + 4*u - 8 = -7*p, 3*u + 6 = -p. Let v(b) = p*y(b) - 2*d(b). Factor v(a).
2*a**2*(5*a + 2)
Suppose -c + 4 = 3*k + 1, k + 15 = 5*c. Suppose 5*z + 15 = 4*i - 0, 0 = i + 5*z + 15. Factor 1 - j**2 - 2*j**3 + c*j**3 + i*j**2 - j.
(j - 1)**2*(j + 1)
Let m(j) be the second derivative of -j**4/48 - 9*j. Suppose m(s) = 0. Calculate s.
0
Factor 12/5*y**3 + 21/5*y**2 - 6/5*y + 0.
3*y*(y + 2)*(4*y - 1)/5
Suppose -k + 3*t + 15 = 4*k, 0 = -2*k + 4*t + 6. Let i(g) = g**2 + 9*g + 22. Let a be i(-7). Factor a*f**2 + 12*f**k + 8*f**4 + 2*f + 2*f**5 + f - f.
2*f*(f + 1)**4
Let w(z) be the second derivative of 2*z**5/45 - 5*z**4/54 - 16*z - 2. Let w(l) = 0. Calculate l.
0, 5/4
Let l(w) be the second derivative of -w**7/5460 - w**6/2340 - 3*w**3/2 - 7*w. Let d(k) be the second derivative of l(k). What is a in d(a) = 0?
-1, 0
Let l(u) = -2*u - 4. Let n be l(-3). Suppose -2*s + 121 = 33. Factor -36*o**2 + 3*o**5 + 5*o + 9*o - n + 3*o**5 + s*o**3 - 26*o**4.
2*(o - 1)**4*(3*o - 1)
Let r(t) be the first derivative of -14*t**2 + 2 + t**4 - 16*t - 8/3*t**3. What is n in r(n) = 0?
-1, 4
Let b(g) be the third derivative of g**6/540 + 2*g**5/45 + 4*g**4/9 + 64*g**3/27 - 6*g**2. What is k in b(k) = 0?
-4
Determine n so that 0 + 3/7*n**2 + 6/7*n = 0.
-2, 0
Suppose -7 + 22 = 3*k, 5*x = -2*k + 35. Factor 3*u - 5*u**5 + 4*u**5 - 8*u**3 + x*u**5 + u.
4*u*(u - 1)**2*(u + 1)**2
Let i be (-7 + 5)*3/(-54). Let c(j) be the first derivative of i*j**2 - 1 - 1/18*j**4 + 2/9*j - 2/27*j**3. Factor c(u).
-2*(u - 1)*(u + 1)**2/9
Let c(l) be the first derivative of 3*l**5 + 35*l**4/4 + 25*l**3/3 + 5*l**2/2 - 24. Factor c(a).
5*a*(a + 1)**2*(3*a + 1)
Let m be (12/(-42))/(1/(-7)). Find f such that -16*f**m + 8*f**4 + 4*f**5 + 8*f**4 + 12*f**3 - 5*f - 11*f = 0.
-2, -1, 0, 1
Let y be (-3)/(2 + (-33)/15). Factor -m**2 + y*m**3 - 9*m**3 + 7*m**2 + 4*m - 4*m**3.
2*m*(m + 1)*(m + 2)
Suppose -3 = 3*l + 5*g, 5 = -2*l + 7*l + 5*g. Factor -1 - 5 + 2*d**2 + l.
2*(d - 1)*(d + 1)
Let s = -1 + 6. Let k(j) = -j**s - j**4 - 4*j + 5*j**3 - j**4 - 4*j**2 - 2*j**5. Let c(t) = -t**5 + t**3 - t**2 - t. Let m(z) = -4*c(z) + k(z). Solve m(b) = 0.
0, 1
Let z be (6/(-4))/((-3)/6). Suppose 3*a - 10*a**2 + z*a**2 - 2 + 6*a = 0. What is a?
2/7, 1
Solve 0*s + 0 - 1/2*s**4 + 3/2*s**3 - s**2 = 0 for s.
0, 1, 2
Let u be (306/(-48) + 6)/(1/(-2)). Factor 3/2*s + 3/4 + u*s**2.
3*(s + 1)**2/4
Let m(u) = 365*u**3 - 170*u**2 - 285*u + 130. Let i(f) = 28*f**3 - 13*f**2 - 22*f + 10. Let z(g) = 40*i(g) - 3*m(g). Factor z(o).
5*(o - 1)*(o + 1)*(5*o - 2)
Let i be (8/(-6))/((-4)/6). Suppose o**i + 10 + 0 - 1 - 2*o + 8*o = 0. What is o?
-3
Let o(x) = -x - 11. Let v be o(-14). Suppose -v*w + 10 = -2*h + 2, -2*w - h = -10. Determine p, given that -1/2*p - 7/2*p**3 - 3*p**2 + 1/4 - 5/4*p**w = 0.
-1, 1/5
Let c = 17 + -10. Solve 8*i**4 + 22*i**3 - 7*i**3 - 70*i**5 - c*i**3 = 0.
-2/7, 0, 2/5
Let y(m) = m - 11. Let l be y(8). Let c be 32/12*l/(-10). Factor 2/5*i**5 + 0*i**3 - 2/5*i + 0 - c*i**4 + 4/5*i**2.
2*i*(i - 1)**3*(i + 1)/5
Let k = -269 - -269. Factor -3/4*g**5 + 3/2*g**4 + 3/4*g + k + 0*g**3 - 3/2*g**2.
-3*g*(g - 1)**3*(g + 1)/4
Let x(v) be the first derivative of -6 - 5/3*v**3 + 1/4*v**4 + 9*v + 3/2*v**2. Factor x(l).
(l - 3)**2*(l + 1)
Let c = 10 - 15. Let h(b) = b**2 + 5*b + 2. Let l be h(c). Determine g, given that -18*g**3 + 12*g**2 - l*g + 2*g - 2*g + 8*g**4 = 0.
0, 1/4, 1
Let o = 20 - -1. Suppose 0 = -16*s + o*s. Factor 9/4*p**4 + s*p**2 + 7/4*p**5 + 0 + 0*p + 1/2*p**3.
p**3*(p + 1)*(7*p + 2)/4
Let u(k) = 9*k**4 + 25*k**3 + 32*k**2 + 16*k - 5. Let r(l) = 5*l**4 + 13*l**3 + 16*l**2 + 8*l - 3. Let w(q) = 5*r(q) - 3*u(q). Solve w(s) = 0.
-2, -1, 0
Let l = 2/101 - -180/1111. Factor 2/11*a**3 - 4/11*a**2 + 0 + l*a.
2*a*(a - 1)**2/11
Find s such that -12*s - 2*s**3 + 12*s**2 + 329*s**4 + s**3 + 10*s**3 - 335*s**4 - 3*s**5 = 0.
-2, 0, 1
Let b(t) be the third derivative of -t**8/1008 - t**7/315 - t**6/360 - 5*t**2. Factor b(s).
-s**3*(s + 1)**2/3
Let m(w) = -20*w**3 + 10*w**2 - 5*w. Let d(a) = -a**3 + a**2 - a. Let u(f) = -15*d(f) + m(f). Factor u(y).
-5*y*(y - 1)*(y + 2)
Factor 10*v - 343 - 141 - 101*v + 3*v - 4*v**2.
-4*(v + 11)**2
Let h(u) be the second derivative of u**5/5 - u**4 + 2*u**3 - 2*u**2 - 5*u. Factor h(o).
4*(o - 1)**3
Let j(c) = -c**3 + 1. Let q(x) = 3*x**4 - 15*x**3 + 18*x**2 - 12*x + 6. Suppose -4*w + 3 = -5*w. Let o(g) = w*j(g) + q(g). Factor o(l).
3*(l - 1)**4
Let l(s) be the first derivative of 1 - 1/2*s**2 + 1/6*s**3 + 1/2*s. Determine a so that l(a) = 0.
1
Determine n so that -3/5*n**2 + 0 + 2/5*n**4 + 1/5*n**3 + 0*n = 0.
-3/2, 0, 1
Let b(o) = -3*o**2 - 4*o - 1. Let t(r) = -r**2 - 1. Let s(c) = 2*b(c) - 2*t(c). Factor s(p).
-4*p*(p + 2)
Let h = 2/613 - -6124/1839. Factor -h*g**3 + 10/3*g - 4/3 + 4/3*g**2.
-2*(g - 1)*(g + 1)*(5*g - 2)/3
Let d be (-3)/18*(0 + -3). Let v be (-5)/20 - 9/(-12). Factor d*c**3 + 0*c**2 + 0 + 0*c + v*c**4.
c**3*(c + 1)/2
Let a(j) be the third derivative of j**6/840 - j**4/56 - j**3/21 - 25*j**2 + 1. Suppose a(b) = 0. What is b?
-1, 2
Let u(d) = -6*d**3 + 6*d**2 + 2*d - 2. Suppose 0 = 2*h - 4*h - 8. Let i(a) = 2 + 5*a**3 - 4*a - 5*a**2 + 0*a + 2*a. Let j(q) = h*i(q) - 3*u(q). Factor j(b).
-2*(b - 1)**2*(b + 1)
Let k = 46 - 43. Let o(y) be the first derivative of 0*y**2 + 2/27*y**3 + 0*y - k. Solve o(m) = 0 for m.
0
Let y(f) be the second derivative of -f**9/22680 + f**4/4 - f. Let b(w) be the third derivative of y(w). Find o such that b(o) = 0.
0
Let v(i) be the third derivative of i**7/70 - i**6/40 - 3*i**5/20 + i**4/8 + i**3 - 6*i**2 - 5*i. Factor v(d).
3*(d - 2)*(d - 1)*(d + 1)**2
Factor 0 + 1/3*b**5 + 0*b**2 + 0*b**4 + 1/3*b - 2/3*b**3.
b*(b - 1)**2*(b + 1)**2/3
Let y = 41 - 39. Let u(b) be the first derivative of 5/3*b**3 + 1/5*b + y - b**2. Determine r so that u(r) = 0.
1/5
Let t(b) be the second derivative of -b**7/210 + 3*b**6/50 - 27*b**5/100 + 9*b**4/20 - 65*b. Factor t(z).
-z**2*(z - 3)**3/5
Let z(q) be the second derivative of -q**6/15 - q**5/5 + 2*q**3/3 + q**2 + 7*q. Suppose z(u) = 0. What is u?
-1, 1
Find h, given that 3*h + 1/2*h**2 + 9/2 = 0.
-3
Let d(k) = k**2 - k - 1. Let h be d(2). Solve h + 3 - 5 - 4*l**2 - 5*l = 0.
-1, -1/4
Let o = 12 - 16. Let p = -4 - o. Find v, given that p + 1/2*v + 0*v**2 - 1/2*v**3 = 0.
-1, 0, 1
Let s(w) be the third derivative of -w**5/8 - 3*w**4/16 + 56*w**2. Let s(b) = 0. Calculate b.
-3/5, 0
Let w(v) be the second derivative of -3*v**6/20 - v**5/2 - 7*v**4/12 - v**3/3 + 3*v**2/2 - v. Let n(i) be the first derivative of w(i). Factor n(x).
-2*(x + 1)*(3*x + 1)**2
Factor 0 - 2/7*g**2 - 2/7*g**5 + 2/7*g**4 + 0*g + 2/7*g**3.
-2*g**2*(g - 1)**2*(g + 1)/7
Let a(x) be the second derivative of -4*x**7/21 - x**6/3 + 3*x**5/10 + 5*x**4/6 + x**3/3 + 5*x. Suppose a(q) = 0. What is q?
-1, -1/4, 0, 1
Let q = -7 + 11. Factor -4 - 1 + 0*t**2 - t**4 + 2*t**2 + q.
-(t - 1)**2*(t + 1)**2
Let d = 1577 - 4679/3. Let f = 18 - d. Factor 0*i**3 - 2/3*i**2 - 1/3*i + 0 + f*i**4 + 1/3*i**5.
i*(i - 1)*(i + 1)**3/3
Let l be 2 + (-6 - (0 + -1)). Let s be 9/l*1*-1. Find j, given that 2*j**s + 4*j**2 + 0*j**2 - 2*j**2 = 0.
-1, 0
Let a(w) = -3*w**4 - 53*w**3 - 33*w**2 + 133*w + 103. Let t(d) = d**4 + 26*d**3 + 16*d**2 - 66*d - 51. Let h(b) = -6*a(b) - 13*t(b). Find m such that h(m) = 0.
-1, 3
Let m be 2/(2 + 11/(-6)). Suppose -10*a = -14*a + m. What is q in 25*q**4 + 20*q + 8/3 + 54*q**2 + 185/3*q**a = 0?
-1, -2/3, -2/5
Let g(p) be the first derivative of 2*p**3/21 + p**2/7 - 4*p/7 - 10. Factor g(j).
2*(j - 1)*(j + 2)/7
Let t = 8 - 8. Let p(y) be the second derivative of t + 1/48*y**4 - 1/4*y**2 - 2*y - 1/24*y**3. Find w, given that p(w) = 0.
-1, 2
Let c(t) = t**2 - 7*t - 