/(-35). Let f be (-16 - x)*(-2)/(-8). Find n such that 0*n + 0*n**3 - 1/2*n**5 + f*n**4 + 0*n**2 + 0 = 0.
0, 1
Let c(w) = -w**3 + 8*w**2 - 7*w. Let o be c(7). Let s(a) be the third derivative of 5*a**2 + 0*a**3 + o*a**4 - 1/360*a**5 + 0 + 0*a. Factor s(u).
-u**2/6
Let p be 3/15 + 74/5. Suppose 2*v = -3*v + p. Factor -w**2 - 3 - 3*w + 4 - 4*w + 6*w + w**v.
(w - 1)**2*(w + 1)
Let u(b) be the third derivative of b**5/330 - 3*b**4/44 + 20*b**3/33 + 29*b**2 - 2*b. Determine l so that u(l) = 0.
4, 5
Let 3 - 1/2*x**3 - 3*x**2 + 1/2*x = 0. What is x?
-6, -1, 1
Let o(u) be the second derivative of u**5/20 - 17*u**4/4 + 225*u**3/2 - 625*u**2/2 + 35*u - 8. Factor o(j).
(j - 25)**2*(j - 1)
Let v = -5 - -5. Let u(a) be the second derivative of -1/9*a**4 - 5*a + 2/45*a**6 + v*a**5 + 0 + 0*a**2 - 1/63*a**7 + 1/9*a**3. Factor u(s).
-2*s*(s - 1)**3*(s + 1)/3
Let c(y) = -y + 2. Let j be c(0). Factor -2 + 4*i**2 + 3*i - j*i + 6*i.
(i + 2)*(4*i - 1)
Let k(h) = -h**3 + 4*h**2 - 4*h + 3. Let y be k(2). Suppose -2*a = -y*c + 13, -a - 7 = 3*c + a. Factor -9*f**2 - 2*f + 4*f**2 + f + c - 3*f**3.
-(f + 1)**2*(3*f - 1)
Let l(y) be the first derivative of -y**5/90 - y**4/9 + 5*y**3/9 + 17*y**2 - 3. Let b(p) be the second derivative of l(p). Factor b(s).
-2*(s - 1)*(s + 5)/3
Suppose -82 = -26*d + 22. Let a(n) be the second derivative of 4/3*n**3 + 5*n + 7/5*n**5 + 0*n**2 + 3*n**d + 0. Solve a(i) = 0.
-1, -2/7, 0
Let f(u) be the first derivative of u**3/18 + 13*u**2/12 + 2*u - 369. What is g in f(g) = 0?
-12, -1
Let n(y) be the third derivative of 7*y**2 + 1/60*y**6 + 0 - 1/105*y**7 + 0*y + 0*y**4 + 0*y**3 + 0*y**5. Determine b so that n(b) = 0.
0, 1
Let m = 267 + -455. Let a be (m/235)/(14/180*-4). Find q such that 4/7 - a*q + 20/7*q**2 - 6/7*q**3 = 0.
1/3, 1, 2
Let r(t) be the first derivative of 3/2*t**2 - 3/4*t**4 + 3/5*t**5 + 0*t + 45 - t**3. Factor r(s).
3*s*(s - 1)**2*(s + 1)
Let n(l) = 4*l**2 - 2*l + 3. Let u(q) = 5*q**2 - 3*q + 4. Let w be (1/(-2))/(1 + 21/(-18)). Let f(g) = w*u(g) - 4*n(g). What is v in f(v) = 0?
-1, 0
Factor 0*x**2 - 24/5 - 4/5*x**3 + 28/5*x.
-4*(x - 2)*(x - 1)*(x + 3)/5
Solve 39/4 + 129/4*q**2 - 9/4*q**3 - 159/4*q = 0 for q.
1/3, 1, 13
Let k(a) be the third derivative of a**6/30 - 3*a**4/2 + 2*a**2 - 3. Factor k(i).
4*i*(i - 3)*(i + 3)
Factor -65*p - 19845 + 19775 - 25*p**2 - 30*p.
-5*(p + 1)*(5*p + 14)
Factor -100/7*t**2 + 60/7*t - 9/7.
-(10*t - 3)**2/7
Factor 16/9 + 2/9*s**4 - 14/9*s**3 + 4*s**2 - 40/9*s.
2*(s - 2)**3*(s - 1)/9
Let g(q) be the third derivative of q**8/1512 + 2*q**7/21 + 2699*q**6/540 + 299*q**5/3 - 25*q**4 - 1000*q**3 + 19*q**2. Suppose g(z) = 0. What is z?
-30, -1, 1
Let k = -19 + 21. Factor 24 + 9*g**3 + g**k - 10*g**3 - 24.
-g**2*(g - 1)
Let v(y) = -y**3 - 2*y - 1. Let l(f) = f**3 + 27*f**2 + 68*f + 46. Let g(m) = l(m) - 2*v(m). Factor g(q).
3*(q + 1)*(q + 4)**2
Let f(u) = u**3 - u**2 - u + 1. Let y be f(2). Suppose 31 = 4*m + 3*d, -m - d = -5*m + 11. Factor 12*q + 6*q**m - 5*q**2 + y*q**5 + 2*q**2 - 9*q**3 - 9*q**2.
3*q*(q - 1)**2*(q + 2)**2
Let l(v) = -8*v**2 + 4. Let r be l(-2). Let o = r - -34. Factor 2/3*q**2 - 4*q + o.
2*(q - 3)**2/3
Factor 0 - 3/5*c**2 + 3/5*c.
-3*c*(c - 1)/5
Let b(m) be the second derivative of -2/3*m**3 + 0 + 4*m**2 + 24*m - 1/3*m**4. Factor b(g).
-4*(g - 1)*(g + 2)
Let b(q) be the first derivative of -12 + 0*q + 1/2*q**2. Let y(u) = 3*u**2 - 8*u + 6. Let r(c) = -b(c) + y(c). Factor r(a).
3*(a - 2)*(a - 1)
Let l(g) be the third derivative of 0*g**6 + 0 + 0*g - 2/525*g**7 + 0*g**3 + 0*g**5 + 23*g**2 + 0*g**4. Factor l(c).
-4*c**4/5
Let k(v) be the third derivative of -38*v**2 + 1/50*v**5 + 0*v**3 + 0*v + 0*v**4 + 0 - 1/525*v**7 + 1/150*v**6. Let k(p) = 0. What is p?
-1, 0, 3
Let o(p) be the first derivative of -6*p + 0*p**3 + 1/6*p**4 - 10 + 0*p**2. Let k(c) be the first derivative of o(c). Factor k(t).
2*t**2
Let i(v) be the first derivative of 2*v**5/95 + 3*v**4/38 + 4*v**3/57 + 575. Solve i(f) = 0.
-2, -1, 0
Let a(h) be the second derivative of h**6/50 + 9*h**5/25 - 68*h - 1. Suppose a(t) = 0. What is t?
-12, 0
Let l = 46 - 44. Factor -8*t**3 + 7 + 7*t**4 - 19*t**l + 21*t**2 + 2*t - 2*t**5 - 8.
-(t - 1)**4*(2*t + 1)
Let n = 3320/3 - 1106. Factor -2/3*t**2 + 4/3 + n*t.
-2*(t - 2)*(t + 1)/3
Let a(y) be the second derivative of -1/18*y**4 - 4/3*y**2 + 1/63*y**7 - 1/6*y**5 + 2*y + 0 + 1/45*y**6 + 8/9*y**3. Suppose a(u) = 0. Calculate u.
-2, 1
Let k = 81 - 77. Factor 2*z**k + 3*z**2 - 19 + 19 - 5*z**2.
2*z**2*(z - 1)*(z + 1)
Suppose p - 3 = -2*f, 2*f - 4*p = f + 6. Let m(z) be the third derivative of 1/60*z**5 + 0*z + 0*z**4 - 2*z**f - 1/6*z**3 + 0. Suppose m(s) = 0. What is s?
-1, 1
Factor 1/4*h**2 - 25/4*h - 13/2.
(h - 26)*(h + 1)/4
Let r be (12/(-18) + 0)/((-1)/3). Suppose -2*h = 2*h + r*h. Factor h*f + 0 + 3/5*f**2 - 3/5*f**3.
-3*f**2*(f - 1)/5
Let h(l) be the first derivative of -3 + 0*l**5 + 0*l**3 + 0*l**4 + 1/120*l**6 - 5/2*l**2 + 0*l. Let k(w) be the second derivative of h(w). Factor k(n).
n**3
Let s = -448 + 451. Let h(c) = -c**3 + 5*c**2 + c - 1. Let y be h(5). Factor 9*x**3 - 4*x**2 - 3*x**4 - x**4 + 3*x**s - y*x**2.
-4*x**2*(x - 2)*(x - 1)
Let k(q) = 6*q**2 - 25*q + 29. Let r(y) = -102 - 13*y - 21*y**2 + 62*y + 38*y. Let x(s) = -18*k(s) - 5*r(s). Factor x(j).
-3*(j - 4)*(j - 1)
Let k(g) = g**3 - g**2 - g - 1. Let q(z) = 2*z**4 + 12*z**3 + 6*z**2 - 4. Suppose 0 = -5*a - 0*a + 20. Let t = 0 + a. Let x(j) = t*k(j) - q(j). Solve x(c) = 0.
-2, -1, 0
Let f(u) = -3*u**5 - 170*u**4 - 211*u**3 - 44*u**2 + 2. Let z(y) = -2*y**5 + y**3 - y**2 - 1. Let q(h) = -f(h) - 2*z(h). Find s such that q(s) = 0.
-23, -1, -2/7, 0
Let a(h) be the third derivative of -19*h**2 + 0 - h**3 - 1/6*h**4 + 1/30*h**5 + 0*h. Factor a(s).
2*(s - 3)*(s + 1)
Factor 27/7 - 3/7*f**2 + 0*f.
-3*(f - 3)*(f + 3)/7
Suppose 0 = 15*s - 51 - 429. Let y be (20/6)/(-5) - s/(-39). Suppose 2/13*p - 4/13 + y*p**2 = 0. What is p?
-2, 1
Let o(n) = 4*n**3 + 31*n**2 + 20*n + 14. Let r(y) = -2*y**3 - 15*y**2 - 10*y - 6. Let l(d) = -3*o(d) - 7*r(d). Factor l(q).
2*q*(q + 1)*(q + 5)
Suppose -4*f + 3 = -17. Let 4*g**2 + 11 - 2*g**5 + 2*g + g**4 - f*g**4 - 11 = 0. What is g?
-1, 0, 1
Factor 6/11*z**2 - 6/11*z + 2/11 - 2/11*z**3.
-2*(z - 1)**3/11
Suppose -3*w - 4 = -4*n, -3*w = -8*w - 4*n + 4. Factor -6*m**2 + 0 - 8 - 24*m + w + 0 + 10*m**3.
2*(m - 2)*(m + 1)*(5*m + 2)
Let y(s) = s**3 + 20*s**2 - 3*s - 57. Let k be y(-20). Let v be (1 + (-2)/6)*3. Factor -10*q**2 - 18*q + 21*q**2 + 2 - 32*q**k + 37*q**v.
-2*(q - 1)*(4*q - 1)**2
Let d be 11 + (2 - (-1935)/(-153)). Factor -d*b**2 + 2/17*b + 0 + 6/17*b**3 - 2/17*b**4.
-2*b*(b - 1)**3/17
Factor 0*z - 32/3*z**4 - 5*z**5 + 0 - 2/3*z**2 - 19/3*z**3.
-z**2*(z + 1)**2*(15*z + 2)/3
Let n = -9299 + 9299. Find j, given that 4/7*j**2 + n - 10/7*j = 0.
0, 5/2
Let j be (-15)/(-45) + (-6)/18. Suppose -2/7*a**5 - 4/7*a**4 + 0*a**3 + j + 2/7*a + 4/7*a**2 = 0. What is a?
-1, 0, 1
Let n(g) = -7*g + 7. Let m be n(1). Let s(x) be the second derivative of m + 0*x**3 - 2*x + 0*x**2 + 1/20*x**5 - 1/12*x**4. Find f such that s(f) = 0.
0, 1
Let c be (-10 + 295/25)*(-4 - 51/(-9)). Find t, given that 216/5 + 42/5*t**2 + 3/5*t**c + 36*t = 0.
-6, -2
Let t(u) be the third derivative of -u**8/504 - 4*u**7/315 + u**6/30 + 2*u**5/45 - 5*u**4/36 - 20*u**2 - u. Suppose t(c) = 0. Calculate c.
-5, -1, 0, 1
Let x(b) = -3*b**3 - 2*b**2 + 3*b + 4. Let h be x(-2). Suppose 3*u + 2 = -5*l, u - h = -l + 4*u. Factor -7/4*t**4 + 1/2*t**3 + 0*t + 0*t**l + 3/2*t**5 + 0.
t**3*(2*t - 1)*(3*t - 2)/4
Let f(u) be the first derivative of -u**5/25 - u**4/10 + 4*u**3/3 - 12*u**2/5 - 11. Factor f(l).
-l*(l - 2)**2*(l + 6)/5
Let u(a) be the first derivative of -7/3*a**3 + 0*a**2 - 2/9*a**4 + 3 + 0*a - 1/45*a**5 - 1/1080*a**6. Let b(p) be the third derivative of u(p). Factor b(z).
-(z + 4)**2/3
Let u = 32 + -38. Let f(j) = j + 6. Let v be f(u). Factor v + 0*r - 1/2*r**2.
-r**2/2
Let l(p) be the first derivative of -15/28*p**4 + 0*p - 8/7*p**3 - 3/35*p**5 - 6/7*p**2 + 8. Suppose l(x) = 0. What is x?
-2, -1, 0
Suppose -2 = 3*b + 4, -5*x + 26 = -3*b. Determine d so that 39*d**2 + 69*d**3 + 6*d - 10*d**5 + 0*d**5 + 9*d**x - 17*d**5 = 0.
-1, -1/3, 0, 2
Suppose -54*m - 3*c = -50*m - 37, -5*c = m - 39. Determine p so that 1/3*p**2 + 0*p + 4/3*p**5 + 2*p**3 + 0 