4. Let l(r) = -5*v(r) - 2*z(r). Suppose l(g) = 0. What is g?
-3, 1, 2
Let j be (-1)/11 - 2924/(-946). Let x(z) be the second derivative of 0 + 0*z**2 - 2/3*z**j + 2/15*z**6 - 1/3*z**4 + 1/5*z**5 - 11*z. Factor x(i).
4*i*(i - 1)*(i + 1)**2
Suppose -18 = -2*j + 98. Let h = -56 + j. What is b in 0 - 2/3*b**3 - 2/3*b**h + 0*b = 0?
-1, 0
Let m(c) = -c**2 + 6*c + 18. Let u be m(8). Let q be u*((-15)/9 - -3). Suppose -2*z**2 + 8/9 + 14/9*z**3 - q*z = 0. Calculate z.
-1, 2/7, 2
Let q = 286 - 424. Let r = q - -691/5. Factor r + 1/5*s - 1/5*s**2 - 1/5*s**3.
-(s - 1)*(s + 1)**2/5
Let g(w) be the first derivative of w**4 - 4*w**3/3 - 2*w**2 + 4*w - 7. Let q(m) = 5*m**3 - 5*m**2 - 5*m + 5. Let i(r) = 6*g(r) - 5*q(r). Factor i(y).
-(y - 1)**2*(y + 1)
Let a(c) be the third derivative of -1/480*c**6 + 3/80*c**5 + 2*c**2 + 0*c - 1/4*c**4 + 3 + 2/3*c**3. Factor a(l).
-(l - 4)**2*(l - 1)/4
Let q(z) be the third derivative of -27*z**6/4 + 33*z**5/4 + 25*z**4/3 - 125*z**3/6 - 60*z**2 - 1. Solve q(u) = 0 for u.
-1/2, 5/9
Let m(r) be the third derivative of -r**8/13440 - r**7/1260 - 5*r**4/8 + 6*r**2. Let x(v) be the second derivative of m(v). Factor x(b).
-b**2*(b + 4)/2
Let h(f) = 155*f**3 + 35*f**2 - 115*f - 325. Let y(d) = 17*d**3 + 4*d**2 - 13*d - 36. Let c(a) = -6*h(a) + 55*y(a). Factor c(k).
5*(k - 2)*(k + 1)*(k + 3)
Factor 370*q**4 - 3535*q**3 + 475*q**4 - 950*q**3 + 1713*q**2 - 393*q**2 - 100*q.
5*q*(q - 5)*(13*q - 2)**2
Let v(x) be the first derivative of 10*x**3/3 - 10*x**2 + 15*x/2 - 184. Factor v(u).
5*(2*u - 3)*(2*u - 1)/2
Let t = 112 + -27. Suppose -79*x = -t*x + 12. Factor 1/2*c**3 - 1/4 - 1/2*c + 1/4*c**x.
(c - 1)*(c + 1)*(2*c + 1)/4
Let r(l) be the third derivative of 1/60*l**5 - 1/210*l**7 - 1/120*l**6 - 15*l**2 + 0 + 0*l**3 + 1/24*l**4 + 0*l. Factor r(j).
-j*(j - 1)*(j + 1)**2
Let w = 27 - 25. Let n = w - -2. Factor 4*q**n + 3 - 10*q**3 - 3 + 8*q**3 - 2*q**5.
-2*q**3*(q - 1)**2
Let h = 262 + -1047/4. Let y(t) be the first derivative of 2 + 1/4*t**2 + h*t + 1/12*t**3. Solve y(o) = 0.
-1
Let t(p) be the first derivative of -4 + 2/3*p**2 + 1/3*p**4 + 0*p - 8/9*p**3. Suppose t(k) = 0. What is k?
0, 1
Let o(j) be the second derivative of 5/42*j**7 + 27*j + 0*j**3 + 3/4*j**5 + 5/6*j**6 + 0*j**2 + 0 - 15/4*j**4. Let o(t) = 0. What is t?
-3, 0, 1
Let m be (-533)/90 + (-6)/(-27). Let x = -26/5 - m. Factor 1/2*h**5 + 1/2 + x*h**4 + 1/2*h - h**3 - h**2.
(h - 1)**2*(h + 1)**3/2
Let s(b) = -4*b**2 + b + 1. Let v(g) = -13*g**2 + g + 6. Let f(u) = 3*s(u) - v(u). Factor f(p).
(p - 1)*(p + 3)
Let q(i) be the first derivative of -i**3/15 + 21*i**2/10 - 38*i/5 + 172. Factor q(f).
-(f - 19)*(f - 2)/5
Let x(c) be the first derivative of 2*c**7/105 - 2*c**5/15 + 2*c**3/3 + 13*c**2/2 - 3. Let j(o) be the second derivative of x(o). Factor j(i).
4*(i - 1)**2*(i + 1)**2
Let a(l) = -10 - l**3 - 5*l - 5 - 1 - 7*l**2 + 25. Let s be a(-6). Factor 1/5*x**2 + 0 + 0*x + 3/5*x**4 + 1/5*x**5 + 3/5*x**s.
x**2*(x + 1)**3/5
Let n(r) be the second derivative of r**5/20 - r**4/6 - 2*r**3/3 + 4*r**2 + 11*r - 2. Factor n(m).
(m - 2)**2*(m + 2)
Let n(d) be the third derivative of -d**9/12096 - d**8/4032 + 7*d**5/60 + 8*d**2. Let x(w) be the third derivative of n(w). Determine y so that x(y) = 0.
-1, 0
Let k be (0 + 0)*96/192. Factor k - 6/5*t - 2/15*t**2.
-2*t*(t + 9)/15
Let 0 + 0*j + 5*j**3 + 1/2*j**4 + 9/2*j**2 = 0. Calculate j.
-9, -1, 0
Suppose -r = 3*z - 18, -z + 25 = 5*r + z. Let t(p) = -p**3 + 3*p**2 + 2. Let u be t(r). Determine f so that -1/5*f - 1/5*f**u + 0 = 0.
-1, 0
Let x(y) be the first derivative of 1/2*y**3 + 1/10*y**4 + 40 - 3/10*y + 2/5*y**2. Factor x(v).
(v + 1)*(v + 3)*(4*v - 1)/10
Suppose 4*s - 5 + 29 = 0. Let l be s/(-9)*(-6)/(-12). Suppose -l*a - 2/3 + 4/3*a**2 + a**3 = 0. Calculate a.
-1, 2/3
Let i be (-2)/4*(3 + -1)*-113. Factor 116*t**4 - 232*t**4 - t**2 + i*t**4 + 3*t**3 + t**5.
t**2*(t - 1)**3
Suppose 0 = -11*o + 2*o + 3*o + 7*o. Find r such that o*r + 0 + 2/17*r**4 + 4/17*r**3 + 2/17*r**2 = 0.
-1, 0
Let u(i) be the third derivative of 121*i**8/112 - 341*i**7/105 + 103*i**6/30 - 17*i**5/10 + 3*i**4/8 + 181*i**2. Let u(w) = 0. Calculate w.
0, 3/11, 1/3, 1
Let h(d) = -d - 10. Let s be h(-12). Factor 90*x + 3 - 3*x**s - 69*x - 3.
-3*x*(x - 7)
Factor 4*z**4 - 1 + 12*z**2 + 16*z - 11 - 6 + 2 - 16*z**3.
4*(z - 2)**2*(z - 1)*(z + 1)
Suppose -4 + 1 = -u. Suppose 0 = -u*r + r. Determine q, given that 4*q + r*q + 2*q**2 - 7*q**2 + 3*q**2 = 0.
0, 2
Suppose -1117 = b - 1121. Let a(z) be the second derivative of 1/3*z**3 + 0*z**2 + 0 - 1/6*z**b + 5*z. Suppose a(h) = 0. Calculate h.
0, 1
Let n be (-100)/(-45) + (-6)/27. Let d be (0 + 10/35)/((-112)/(-98)). Determine m so that -1/4*m - d*m**n + 1/2 = 0.
-2, 1
Let a be 1/1 + (-60)/(-4). Let k be (-1)/(((-12)/a)/3). Factor 6*z**4 + z**2 - 2 + 2*z**5 - z**2 - 6*z - k*z**2 + 4*z**3.
2*(z - 1)*(z + 1)**4
Let r(s) be the third derivative of -s**6/120 + s**4/8 - s**3/3 - 28*s**2 + 2*s. Factor r(n).
-(n - 1)**2*(n + 2)
Let l be -4 + (-40)/(-4) + -3. Let j(q) be the third derivative of 0 + 0*q**l + 0*q**4 - 1/150*q**6 - 1/150*q**5 - 7*q**2 + 0*q - 1/525*q**7. Factor j(x).
-2*x**2*(x + 1)**2/5
Factor -21/2*y - 1/2*y**2 + 0.
-y*(y + 21)/2
Let b(v) be the third derivative of -5/18*v**4 - 4*v**2 + 2/15*v**5 + 1/3*v**3 + 1/315*v**7 - 1/30*v**6 + 0*v + 0. Factor b(t).
2*(t - 3)*(t - 1)**3/3
Suppose 0*d = 4*d + 8. Let t(u) = u**2 + 2*u + 2. Let a be t(d). Let 2*r**3 - 4*r**a + 2*r**2 - 2*r**2 = 0. What is r?
0, 2
Let a = -57 + 81. Suppose -7*p = -p - a. Find r, given that -2/9*r**3 + 0 + 2/9*r**2 - 2/9*r**p + 2/9*r = 0.
-1, 0, 1
Let g(n) be the second derivative of -n**5/60 + 4*n**4/9 - 26*n**3/9 + 8*n**2 - 4*n - 10. Let g(j) = 0. What is j?
2, 12
Let o(s) be the second derivative of 33*s - 1/12*s**4 + 3/2*s**2 + 1/3*s**3 + 0. Determine c, given that o(c) = 0.
-1, 3
Let d = -260 + 261. Let w(v) be the first derivative of -d + 1/2*v**4 + 0*v + 0*v**2 + 2/5*v**5 + 0*v**3. Factor w(g).
2*g**3*(g + 1)
Suppose -160 = -0*d - 3*d - 5*o, -5*d = 4*o - 245. Let j be 6/(-4)*9/(d/(-10)). Let 6/5*h**2 + 0*h + 0 - 12/5*h**4 + 9/5*h**5 - 3/5*h**j = 0. What is h?
-2/3, 0, 1
Let i = 47 + -48. Let a be 2 + 2/i + 320/45. Let -32/9*r + 16/9*r**4 + 0 - 16/3*r**3 + a*r**2 - 2/9*r**5 = 0. What is r?
0, 2
Let f(r) be the third derivative of -r**8/896 + 13*r**7/560 - 29*r**6/160 + 11*r**5/20 + r**4/2 - 8*r**3 + 63*r**2. Solve f(b) = 0.
-1, 2, 4
Let n = 3684 + -3681. Find t, given that 0*t**n - 6/5*t**4 + 8/5*t**2 + 2/5*t**5 + 0 + 0*t = 0.
-1, 0, 2
Let s(c) be the second derivative of 8*c + 0 - 1/2*c**3 - 9/8*c**2 - 1/16*c**4. Factor s(m).
-3*(m + 1)*(m + 3)/4
Let q be ((-232)/(-48))/29 + 190/12. Suppose 27*z = 31*z - q. Suppose 3/5*n**5 + 6/5*n**z + 6/5 - 6/5*n**3 - 12/5*n**2 + 3/5*n = 0. Calculate n.
-2, -1, 1
Suppose 0 = 3*p - 4*p + 9. Factor p*l**3 + 3*l**2 + 7*l**4 + 5*l**5 - 2*l**5 + 3*l**4 - l**4.
3*l**2*(l + 1)**3
Suppose 399 = 3*b - 177. Factor -b - o**3 + o**2 + 192 - o**4 + o**5.
o**2*(o - 1)**2*(o + 1)
Let s = 33 - -5. Let c be (-4)/s + 366/228. Determine z, given that -51/2*z**2 + 39/2*z**4 - 15/2*z**5 + 6*z + c*z**3 + 6 = 0.
-1, -2/5, 1, 2
Determine d, given that -4*d**5 - 42*d**4 + 2*d - 9*d**4 + 168*d**3 - 176*d**2 + 3*d**4 + 58*d = 0.
-15, 0, 1
Let p(w) be the second derivative of 0 - 7*w + 1/3*w**3 - 1/12*w**4 + 0*w**2. Factor p(z).
-z*(z - 2)
Let j be -1*9*(0 + 4)/(-12). Suppose u - 3 = -3*l + j, 2*l = -4*u - 6. Factor -9/4*m**l + 9/4*m**4 - 3/4*m**5 + 3/4*m**2 + 0*m + 0.
-3*m**2*(m - 1)**3/4
Let i be (-4)/280*-578 - 12/(-84). Suppose 18/5 - i*r + 10*r**3 - 2*r**2 = 0. Calculate r.
-1, 3/5
Let f(i) = 2*i - 15. Let d = 6 - -4. Let j be f(d). Determine x, given that 3 - 7 + 0*x - x**2 + 6*x - j = 0.
3
Suppose -u + 2*u - 2 = 0. Let 3*n**3 + 28*n**u + 6 + n - 16*n**2 + 14*n = 0. What is n?
-2, -1
Let p(m) be the third derivative of 0 - 8/105*m**5 - 1/60*m**6 - 15*m**2 + 0*m**3 + 0*m - 1/21*m**4. Factor p(a).
-2*a*(a + 2)*(7*a + 2)/7
Let s(c) be the first derivative of -c**5/15 + 13*c**4/12 - 23*c**3/9 + 11*c**2/6 - 499. Solve s(l) = 0.
0, 1, 11
Let u be (1675/670)/(1/2). Let g be (-13)/(-18) + (-12)/54. Factor -1/2*z - g*z**u + z**3 + 0*z**2 + 0*z**4 + 0.
-z*(z - 1)**2*(z + 1)**2/2
Let u(b) be the first derivative of 4/7*b - 6 + 5/7*b**2 + 8/21*b*