such that l(f) = 0.
-11
Let l = 10877/100 + -435/4. Let d(y) be the second derivative of -l*y**5 + 0 + 1/5*y**2 + 1/15*y**3 - 1/30*y**4 - 6*y. Suppose d(n) = 0. What is n?
-1, 1
Let u = 173/4 - 2587/60. Let f(n) be the first derivative of 9 + 2/25*n**5 - u*n**3 + 1/30*n**6 - 1/20*n**4 + 0*n + 0*n**2. Factor f(y).
y**2*(y - 1)*(y + 1)*(y + 2)/5
Let q(c) be the first derivative of -4*c**5/5 - 7*c**4 - 16*c**3 + 8*c**2 + 64*c - 74. Factor q(d).
-4*(d - 1)*(d + 2)**2*(d + 4)
Suppose -13*u + 242 = -18. Find h, given that -h**2 + 0*h**2 + 5*h**2 - u*h - 9*h**2 = 0.
-4, 0
Let d(g) be the first derivative of -7/30*g**6 - 11/20*g**4 - 16 - 2/15*g**3 + 0*g**2 + 0*g - 16/25*g**5. Let d(u) = 0. What is u?
-1, -2/7, 0
Let h(q) = 6*q**2 + 3*q + 11. Let a(s) = 6 - 6 - 1 + s**2 + 9*s - 10*s. Let g(z) = -15*a(z) + 3*h(z). Let g(n) = 0. Calculate n.
-4
Let w(t) be the first derivative of 2*t**3/15 + 9*t**2/5 + 102. Factor w(s).
2*s*(s + 9)/5
Let k(f) be the first derivative of -14*f**5/15 + 5*f**4/6 + 4*f**3/9 - 154. Factor k(v).
-2*v**2*(v - 1)*(7*v + 2)/3
Let m(l) be the third derivative of l**7/490 - l**6/140 - 3*l**5/140 + 2*l**2 + 210*l. Determine i so that m(i) = 0.
-1, 0, 3
Let -1/9*h + 1/9*h**3 - 2/3*h**2 + 2/3 = 0. What is h?
-1, 1, 6
Suppose 0 = n + 3*m - 17, -n - 3 = 125*m - 126*m. Let a(h) be the second derivative of -1/72*h**4 + 0 + 8*h + 0*h**3 + 1/12*h**n. Factor a(f).
-(f - 1)*(f + 1)/6
Factor -1/3*z**2 - 26/3*z + 9.
-(z - 1)*(z + 27)/3
Determine t, given that -6/7 + 2/7*t**2 - 1/7*t**5 + 4/7*t**4 + 12/7*t**3 - 11/7*t = 0.
-1, 1, 6
Let u(s) be the third derivative of -s**6/600 - 19*s**5/300 - 3*s**4/20 + 10*s**2 - 30. Suppose u(o) = 0. Calculate o.
-18, -1, 0
Determine w so that -2/3*w**2 - 4/3*w**4 - 4/9*w**5 - 13/9*w**3 + 0 - 1/9*w = 0.
-1, -1/2, 0
Let y(u) = -3*u**4 - 8*u**3 - 7*u**2 - 2*u - 2. Let p(d) = 16*d**4 + 41*d**3 + 34*d**2 + 11*d + 11. Let q(v) = -4*p(v) - 22*y(v). Factor q(s).
2*s**2*(s + 3)**2
Let a(z) = z + 6. Let w(q) = -q**2 + 10*q - 36. Let r(b) = 6*a(b) + w(b). Factor r(t).
-t*(t - 16)
Let v be 88 - 96 - 6/(-3)*4. Let k(r) be the third derivative of -4*r**2 + 3/160*r**6 - 1/120*r**7 + 1/20*r**5 + 0*r**3 + 0 + v*r - 1/24*r**4. Factor k(t).
-t*(t - 2)*(t + 1)*(7*t - 2)/4
Suppose 0 = 5*i + 37 + 13. Let p be (-8)/i*7/14. Factor p*l + 1/5 + 1/5*l**2.
(l + 1)**2/5
Let n(a) = -a**3 - 2*a**2 + 3*a + 4. Let t be n(-3). Factor -15*y**3 + 24*y - 10*y**4 - y**2 + 21*y**2 - t*y + 8*y**5 - 3*y**5.
5*y*(y - 2)**2*(y + 1)**2
Let c(g) be the second derivative of -g**4/84 - 3*g**3/14 + 11*g**2/7 + 148*g. Factor c(v).
-(v - 2)*(v + 11)/7
Let f(l) be the first derivative of 2*l**3/3 + 4*l**2 + 8*l + 76. Let f(k) = 0. What is k?
-2
Suppose 2*g - 4 = -0*g. Let o**2 + o**g - 2*o + o**2 - 3*o**3 + 2*o**3 = 0. What is o?
0, 1, 2
What is t in -79*t**3 - 198 + 70 + 1791*t**2 - 1975*t**2 + 162*t**4 - 551*t**3 + 480*t = 0?
-1, 4/9, 4
Let f be (-11)/(-33) - 4/3. Let k be (-2)/(-1) + f + (-35)/(-25). Find t, given that -3/5*t**2 + k*t + 12/5 - 3/5*t**3 = 0.
-2, -1, 2
Let n(z) be the first derivative of z**4/2 - 4*z**3 - 15*z**2 - 16*z + 192. Factor n(s).
2*(s - 8)*(s + 1)**2
Let c be (88/(-20))/(1/15). Let h be 3/(-6) + c/(-12). Factor 5*g**3 + 0*g + 10 - 14 - h*g + 15*g**2 - 11.
5*(g - 1)*(g + 1)*(g + 3)
Let h be 1*(6 - (-10*8/(-20) + -1)). Factor -3/4*j**h + 0 - 1/4*j**5 + 0*j + 3/4*j**4 + 1/4*j**2.
-j**2*(j - 1)**3/4
Suppose 0 = 4*t - 14 - 6. Let k be ((-4)/t)/(4/(-10)). Let 22*h**3 + 2*h**2 - 24*h**3 + 4*h**5 - 2*h**4 - k*h**5 = 0. What is h?
-1, 0, 1
Let m = 9973/2 - 4983. Factor 3/2*y + 5/2*y**3 + 0 - m*y**2 - 1/2*y**4.
-y*(y - 3)*(y - 1)**2/2
Suppose -23*w - 7*w = 30*w - 0*w. Suppose w + l - 15/2*l**2 = 0. Calculate l.
0, 2/15
Let p(l) be the first derivative of l**9/22680 + l**8/12600 - l**7/6300 - l**6/2700 + 20*l**3/3 - 21. Let n(y) be the third derivative of p(y). Factor n(j).
2*j**2*(j - 1)*(j + 1)**2/15
Let c be 1/2 + (2 - (-183)/42). Suppose 19*y + 98 = 68*y. Factor c*d - 3/7*d**4 + 192/7 + 33/7*d**3 - 108/7*d**y.
-3*(d - 4)**3*(d + 1)/7
Let j(x) = x**2 - 6*x + 10. Let h be j(4). Suppose 4*m = h*m + 10. What is u in m*u - 6*u**2 + 0*u**2 - 2*u + 3*u**3 = 0?
0, 1
Let r be (-22)/2 + (-3874)/(-78) + -32. Suppose -2/3*v**2 - r - 14/3*v = 0. Calculate v.
-5, -2
Find p such that -15/4*p**4 + 21/4 - 3/4*p**5 - 39/4*p + 21/2*p**3 - 3/2*p**2 = 0.
-7, -1, 1
What is j in 54*j - 3/5*j**5 + 0 + 57/5*j**3 - 9/5*j**4 + 261/5*j**2 = 0?
-3, -2, 0, 5
Let z(a) = -8*a**5 - 14*a**4 + 3*a**3 - 23*a**2 - 7*a - 7. Let s(b) = b**5 + 3*b**4 + b**3 + b**2 + b + 1. Let v(w) = 14*s(w) + 2*z(w). What is o in v(o) = 0?
-2, 0, 1, 8
Determine w, given that 1/2*w**3 - 1520875/2 + 39675/2*w - 345/2*w**2 = 0.
115
Suppose 0*k = -5*k. Suppose 2*s - 10 = k, 4*g - 5 = 2*s + 5. Find t such that -1/4*t**2 + 0*t - 3/4*t**g + 3/4*t**3 + 1/4*t**4 + 0 = 0.
-1, 0, 1/3, 1
Suppose 261*o - 16 = 257*o. What is m in 0 - 1/10*m**o + 1/10*m**5 + 1/10*m**2 - 1/10*m**3 + 0*m = 0?
-1, 0, 1
Factor -26 + 20*u**2 + 5*u**3 - 5*u**4 + 11 + 15 - 20*u.
-5*u*(u - 2)*(u - 1)*(u + 2)
Let r = 707/1530 + -3/170. Let x = -9940/117 + 1116/13. Determine v, given that 8/9*v**4 - 4/3*v**2 - 2/3*v**5 + x*v**3 + r - 2/9*v = 0.
-1, -2/3, 1
Let m(i) be the third derivative of 0 - 1/54*i**5 + 28*i**2 - 7/108*i**4 - 1/540*i**6 + 0*i - 1/9*i**3. What is t in m(t) = 0?
-3, -1
Let l(p) be the second derivative of -10/3*p**3 + 5/4*p**4 + p - 10*p**2 + 6. Factor l(m).
5*(m - 2)*(3*m + 2)
Let x(q) be the first derivative of -q**4/3 - 4*q**3 + 14*q**2 + 18*q - 26. Let o(t) be the first derivative of x(t). Determine a so that o(a) = 0.
-7, 1
Let y(i) be the second derivative of -i**3/3 - 9*i**2/2 + 2*i. Let p be y(-6). Factor -8*a**3 + 12*a**3 + 4*a - 8*a**p.
-4*a*(a - 1)*(a + 1)
Let k(g) be the second derivative of -1/1800*g**6 + 1/120*g**4 + 10*g + 0 + 0*g**5 + 7/6*g**3 + 0*g**2. Let x(r) be the second derivative of k(r). Factor x(z).
-(z - 1)*(z + 1)/5
Let f(x) be the second derivative of 9/7*x**2 + 1/70*x**5 + 5*x - 5/42*x**4 + 1/7*x**3 + 0. Factor f(b).
2*(b - 3)**2*(b + 1)/7
Factor 1/3*p - 1/3*p**2 + 0.
-p*(p - 1)/3
Let z(g) be the third derivative of -3*g**2 + 2/33*g**3 + 12*g + 0 + 1/660*g**6 + 2/165*g**5 + 5/132*g**4. Factor z(o).
2*(o + 1)**2*(o + 2)/11
Let x = 237 + -235. Let p be (12/30)/(x/3). Let -p*h**3 + 0*h**2 + 0 + 3/5*h = 0. What is h?
-1, 0, 1
Let 264*p + 2*p**3 - 3*p**2 + 67 + 78*p**2 + 225 + p**3 - 40 = 0. What is p?
-21, -2
Let c(h) = h**5 + 2*h**4 - h**3 - 14*h**2 - 24*h - 10. Let b(z) = -z**5 - z**4 + 2*z**3 + 14*z**2 + 26*z + 11. Let o(w) = 2*b(w) + 3*c(w). Solve o(r) = 0.
-2, -1, 2
Let v = 126 + -123. Let k(f) be the first derivative of 1/15*f**5 - 7/6*f**2 + v + 2/3*f - 5/12*f**4 + f**3. Factor k(h).
(h - 2)*(h - 1)**3/3
Factor 26/11*f**3 + 12/11*f**2 + 24/11*f**4 + 8/11*f**5 + 2/11*f + 0.
2*f*(f + 1)**2*(2*f + 1)**2/11
What is x in 361/10*x + 0 + 1/10*x**3 - 19/5*x**2 = 0?
0, 19
Factor -11/4*n**2 + 9/2*n + 1/4*n**3 + 0.
n*(n - 9)*(n - 2)/4
Factor -38/7*f - 6/7 + 44/7*f**2.
2*(f - 1)*(22*f + 3)/7
Let f = -30 - -32. Determine b, given that -f*b + 0*b - 32*b**3 + 34*b**3 = 0.
-1, 0, 1
Let s be 5/2*((-89)/10 - (-176)/16). Find m, given that 6 - 45/2*m + s*m**2 = 0.
2/7, 4
Let -y**4 - 1/6*y**5 - 5/3 + 1/2*y - 1/3*y**3 + 8/3*y**2 = 0. What is y?
-5, -2, -1, 1
Let f(t) be the first derivative of -t**4/12 - 4*t**3/9 + 2*t**2 - 19. Factor f(b).
-b*(b - 2)*(b + 6)/3
Let i(o) be the third derivative of -o**5/420 - 3*o**4/56 + 11*o**3/21 - 4*o**2 - 4. Factor i(y).
-(y - 2)*(y + 11)/7
Let j(o) = -10*o**2 + 8*o - 16. Let z(k) = k**2 + 1. Let r(u) = 2*j(u) + 18*z(u). Factor r(t).
-2*(t - 7)*(t - 1)
Suppose 4*y + 5*b = 27, -y - 3 = 3*b - 5*b. Let x be (18/(-25))/(y*(-12)/90). Solve 9/5*d + 3/5*d**3 - x*d**2 - 3/5 = 0 for d.
1
Let u(l) be the first derivative of -1/27*l**3 + 0*l - 5/9*l**2 + 47. Factor u(i).
-i*(i + 10)/9
Let g(u) be the first derivative of 2/5*u**5 - 2*u**4 - 42 + 0*u + 0*u**2 - 10/3*u**3. Solve g(f) = 0.
-1, 0, 5
Suppose 232*q = 241*q. Let u(x) be the second derivative of 0*x**2 + 1/20*x**5 - 1/6*x**4 - 7*x + 0 + q*x**3. Factor u(f).
f**2*(f - 2)
Suppose -21*o + 46*o + 20*o**4 + 100*o**2 + 92*o**3 + 4 - 28 - 21*o = 0. What is o?
-3, -1, 2/5
Let f = 6 - 13. Let d be (((-4)/(-1))/16)/(f/(-8)). L