6. Let w be 8 - 5 - (-1 - g). Let d**w + 0*d**2 + 4 - 5*d**2 + 8 + 8*d = 0. What is d?
-1, 3
Let n(z) = -z**2 - 137*z + 2450. Let m(k) = -3*k**2 - 273*k + 4900. Let l(j) = 6*m(j) - 14*n(j). Let l(f) = 0. Calculate f.
35
Suppose -3*x = 0, 2*q - 2*x - 31 = 21. Factor 42*n**3 + 3*n + 2*n + 30*n**2 + 5*n**5 + q*n**4 + n**5 + 3*n.
2*n*(n + 1)**3*(3*n + 4)
Let d(x) be the first derivative of -2*x**7/21 + 2*x**6/5 - 4*x**4/3 + 17*x - 28. Let w(p) be the first derivative of d(p). Factor w(f).
-4*f**2*(f - 2)**2*(f + 1)
Let -4*p**3 + 1/4*p**5 + 3/4*p**4 - 16 + 24*p - 5*p**2 = 0. What is p?
-4, 1, 2
Suppose -l = 4, o + 36 = 3*o - 2*l. Suppose -n + o = -3. Factor -2*r**2 - 4 - n*r + 6*r + 0 + 5*r.
-2*(r + 1)*(r + 2)
Let x = -319 + 641/2. What is m in x*m**2 - 3*m - 9/2 = 0?
-1, 3
Determine p so that 0*p + 5/3*p**3 + 0*p**2 - 5/3*p**4 + 0 = 0.
0, 1
Let w(l) be the third derivative of l**7/10080 - l**6/720 - 4*l**4/3 - 13*l**2. Let f(t) be the second derivative of w(t). Factor f(k).
k*(k - 4)/4
Let n(m) be the first derivative of -9 + 3/8*m**4 + 3*m**3 - 1/8*m**6 - 3/5*m**5 - 27/8*m**2 + 0*m. Suppose n(g) = 0. What is g?
-3, 0, 1
Let m(b) be the first derivative of -b**7/84 - b**6/30 - b**5/40 + 9*b + 2. Let g(n) be the first derivative of m(n). Factor g(l).
-l**3*(l + 1)**2/2
Suppose 0 = -2*h + 3 + 5. What is a in 2*a**4 - 9*a**3 + 15*a**3 - 8*a - 2*a**4 - 2*a**h = 0?
-1, 0, 2
Let y(w) be the third derivative of w**5/270 + w**4/12 + 8*w**3/27 + 29*w**2. Solve y(t) = 0.
-8, -1
Let 8 + 21/2*k**2 + 5/4*k**3 + 24*k = 0. What is k?
-4, -2/5
Suppose p = -4*p + 2*f - 98, -f + 99 = -5*p. Let v = p + 22. Suppose 0 + c + 1/2*c**v = 0. Calculate c.
-2, 0
Let f = -7370 - -7372. Let -10/3*s - 50/9 + f*s**2 - 2/9*s**3 = 0. What is s?
-1, 5
Let j be (-3 - (-8)/3)*0. Let l(b) be the first derivative of 1/6*b**4 + 0*b**2 - 7 + j*b - 2/9*b**3. Factor l(u).
2*u**2*(u - 1)/3
Solve -414*t - 126*t**2 - 90*t**2 - 196*t**3 - 2502*t + 192*t**3 = 0.
-27, 0
Let p(g) be the first derivative of -g**8/336 + g**7/105 + g**6/40 + 5*g**2 - 7. Let l(r) be the second derivative of p(r). Factor l(q).
-q**3*(q - 3)*(q + 1)
Factor 84/5*x - 4/5*x**2 - 16.
-4*(x - 20)*(x - 1)/5
Let o(s) = 5*s**5 - 8*s**4 + 6*s**3 + 8*s**2 - 3*s - 4. Let z(c) = c**5 + c - 1. Let r(m) = o(m) - 4*z(m). Let r(x) = 0. Calculate x.
-1, 0, 1, 7
Let m(u) = u**3 - 35*u**2 + 50*u + 62. Let p(t) = -35*t**2 + 50*t + 65. Let i(z) = -5*m(z) + 6*p(z). Find y, given that i(y) = 0.
-8, -1, 2
Let s(n) be the third derivative of 0 + 1/6*n**4 + 0*n**3 + 1/15*n**5 + 8*n**2 + 1/120*n**6 + 0*n. Find b such that s(b) = 0.
-2, 0
Let u be -18 + 78/6 - (-118)/22. Let 30/11*j - 2/11*j**5 - 28/11*j**3 - u*j**2 - 14/11*j**4 + 18/11 = 0. Calculate j.
-3, -1, 1
Determine a so that -2/3*a**3 + 20*a + 0 + 26/3*a**2 = 0.
-2, 0, 15
Let m = 3652 - 3649. Factor -26/21*h**2 - 8/21 + 8/7*h - 2/21*h**4 + 4/7*h**m.
-2*(h - 2)**2*(h - 1)**2/21
Let h(v) be the first derivative of v**6/2 - 47*v**5/20 + 71*v**4/16 - 17*v**3/4 + 17*v**2/8 - v/2 - 7. What is j in h(j) = 0?
1/4, 2/3, 1
Suppose 1 - 5 = -2*x. Let f = -253/15 + 53/3. Solve 0 - 4/5*w - f*w**x = 0 for w.
-1, 0
Let u = 161 - 95. Let v = u + -66. Suppose -4/7*z**2 + 0 + v*z - 2/7*z**3 = 0. Calculate z.
-2, 0
Let c be -3 - (-5)/((-35)/(-42)). Let g(x) = -x + 19. Let w be g(15). Factor -3*y**3 - 3/2*y**w + c*y + 3/2*y**2 + 0.
-3*y*(y - 1)*(y + 1)*(y + 2)/2
Let d(g) be the first derivative of 16/9*g**3 + 7/6*g**4 - 2/3*g**5 - 4/3*g**2 + 0*g - 4. Let d(h) = 0. Calculate h.
-1, 0, 2/5, 2
Let r be (-4)/160*4/(-72). Let v(g) be the third derivative of 1/360*g**5 + 0*g - 2*g**2 - 1/144*g**4 + r*g**6 + 0 - 1/36*g**3. Factor v(h).
(h - 1)*(h + 1)**2/6
Let -3/2 + 1/2*o**3 + 5/4*o + 13/4*o**2 = 0. What is o?
-6, -1, 1/2
Let t(m) = -25*m**4 - 22*m**3 - 4*m**2 - 3*m - 6. Let q(h) = -26*h**4 - 22*h**3 - 4*h**2 - 2*h - 4. Let c(y) = -6*q(y) + 4*t(y). Solve c(x) = 0.
-1/2, -2/7, 0
Factor -24/5*w**4 - 254/5*w**2 - 201/5*w + 1/5*w**5 - 136/5*w**3 - 58/5.
(w - 29)*(w + 1)**3*(w + 2)/5
Let b(p) be the first derivative of -4*p**5/5 - 11*p**4 + 52*p**3/3 + 22*p**2 - 48*p - 27. Factor b(n).
-4*(n - 1)**2*(n + 1)*(n + 12)
Let r(c) be the first derivative of c**5/10 + c**4/4 - 169. Factor r(y).
y**3*(y + 2)/2
Let l(w) be the second derivative of -w**4/90 - w**3/9 + 2*w**2/5 + 94*w. Factor l(z).
-2*(z - 1)*(z + 6)/15
Let -4*l**3 + 2*l**4 - l**2 + 4*l**3 - 20*l**3 - 21*l**2 = 0. Calculate l.
-1, 0, 11
Solve 659*o**2 + 481*o**2 + 5*o**3 + 503*o**2 - 1913*o**2 + 3645*o = 0.
0, 27
Let l(h) be the third derivative of h**7/280 - h**6/80 - 3*h**5/80 + h**4/4 - h**3/2 + h**2 - 6. Factor l(d).
3*(d - 2)*(d - 1)**2*(d + 2)/4
Let o(m) be the first derivative of m**6/90 + m**5/10 - 4*m**3/3 + 28. Let v(d) be the third derivative of o(d). What is w in v(w) = 0?
-3, 0
Let c(i) be the first derivative of -12*i**3/7 + 12*i**2/7 - 4*i/7 - 8. Factor c(u).
-4*(3*u - 1)**2/7
Let j = -19304/45 + 429. Let o(t) be the second derivative of 0 + 0*t**4 + 1/150*t**5 + 0*t**2 - j*t**3 + t. Solve o(s) = 0 for s.
-1, 0, 1
Let w(r) be the first derivative of r**2 - 4. Let h(q) = -q**3 + q**2 - 1. Let u(s) = -4*h(s) - 2*w(s). Solve u(l) = 0 for l.
-1, 1
Let v(z) = 5*z**2 - 37*z + 77. Let k(w) = 5*w**2 - 38*w + 78. Let t(i) = 3*k(i) - 2*v(i). Let t(p) = 0. Calculate p.
4
Let -5*p**2 + 20 - 158*p**4 - 157*p**4 - 40*p**3 + 300*p**4 + 40*p = 0. What is p?
-2, -1, -2/3, 1
Suppose -10*z - 4 = -12*z. Solve 5 - 21*l**4 + 9*l**2 + 15*l - z - 12*l**3 + 9*l**4 - 3*l**3 = 0.
-1, -1/4, 1
Let l(t) be the second derivative of t**6/45 - 247*t**5/30 + 7564*t**4/9 + 15376*t**3/9 + 13*t - 36. Factor l(m).
2*m*(m - 124)**2*(m + 1)/3
Let a(q) be the first derivative of -q**6/480 - q**5/80 - q**4/32 + 16*q**3/3 - 35. Let v(u) be the third derivative of a(u). Factor v(m).
-3*(m + 1)**2/4
Let v be ((-43)/(-86))/((-1)/(-226) - 0). Let d = v + -1241/11. Suppose 0 + 8/11*f**3 + 0*f + d*f**2 = 0. Calculate f.
-1/4, 0
Let 36/11 - 54/11*n + 20/11*n**2 - 2/11*n**3 = 0. Calculate n.
1, 3, 6
Let m(c) be the first derivative of -c**5/48 - 5*c**4/32 + 5*c**3/6 + 9*c**2/2 - 26. Let s(t) be the second derivative of m(t). Solve s(j) = 0.
-4, 1
Let t be 159/(-3) - (-5 + 2). Let v be (t/(-125))/((-2)/(-10)). Let 0 - 4/15*p**v + 0*p - 2/15*p**4 + 2/5*p**3 = 0. What is p?
0, 1, 2
Let q(y) = 2*y**3 - 22*y**2 + 68*y - 84. Let u be q(7). Determine r, given that -4/7*r**3 + 2/7*r**4 + 2/7*r**5 + 0*r + 0 + u*r**2 = 0.
-2, 0, 1
Let u(c) = -75*c + 228. Let d be u(3). Let n(v) be the first derivative of -15/4*v**4 + d*v**2 + 0*v + 4 - 3*v**3. Let n(k) = 0. Calculate k.
-1, 0, 2/5
Let l be 5/3*15/150*8. Let 5*g**2 + 4*g + l*g**3 - 4/3 = 0. What is g?
-2, 1/4
Factor 0 - 48/5*d**2 - 3/5*d**4 - 21/5*d**3 - 36/5*d.
-3*d*(d + 2)**2*(d + 3)/5
Factor 2/3*b + 4/15*b**2 - 2/15*b**3 - 4/5.
-2*(b - 3)*(b - 1)*(b + 2)/15
Let v(c) = c**3 - 8*c**2 + 5. Let f be v(8). Suppose f*t + 9 = 34. Factor -22*w**3 - 12*w**2 + 4*w**2 + w + 18*w**t + 12*w**4 + 4*w + 3*w.
2*w*(w + 1)**2*(3*w - 2)**2
Let y be (9 - (15 - 7))*3/18. Factor 0 + 1/6*m**3 - 1/6*m**2 - 1/6*m + y*m**4.
m*(m - 1)*(m + 1)**2/6
Let g(h) be the first derivative of 49*h**4/6 - 70*h**3/9 - 16*h**2 + 24*h + 254. Determine f, given that g(f) = 0.
-1, 6/7
Suppose j + j - 32 = 0. Factor 5*x**3 + 6 - j - 20*x**2 - 3*x + 22*x + 6*x.
5*(x - 2)*(x - 1)**2
Let b(s) = 39*s**2 + 333*s + 246. Let n(g) = -8*g**2 - 67*g - 49. Let t(y) = 5*b(y) + 24*n(y). Find l such that t(l) = 0.
-18, -1
Let k = 16457 - 16457. Let m(a) = -a**2 + 3*a - 2. Let z be m(2). Factor z*q**3 - 2/13*q**5 + 0*q + 8/13*q**2 - 6/13*q**4 + k.
-2*q**2*(q - 1)*(q + 2)**2/13
Suppose -10*g - 33 = -21*g. Factor 4*c**3 - 8*c - 7*c**3 - 41*c**2 - 25*c**g + 5*c**2.
-4*c*(c + 1)*(7*c + 2)
Let d(w) = w**3 - 36*w**2 - 37*w + 3. Let s be d(37). Factor -2/13 + 2/13*j + 2/13*j**2 - 2/13*j**s.
-2*(j - 1)**2*(j + 1)/13
Let q(n) be the first derivative of -5*n**5 + 15*n**4 - 20*n**3/3 + 1046. Solve q(m) = 0 for m.
0, 2/5, 2
Suppose 2*n + 4*m + 6 = -4, 3*n + 2*m - 1 = 0. Factor 375*s**4 + 33*s**2 - 36*s - 108 + 4*s**3 + 2*s**n - 378*s**4.
-3*(s - 3)**2*(s + 2)**2
Let z be -3*3/(-36) - (-42)/(-8). Let c be 1 + -5 - 22/z. Factor 0 + c*h**2 + 2/5*h.
2*h*(h + 1)/5
Let x(i) = 564*i**3 + 836*i**2 + 262*i + 18. Let p(r) = r**3 