 second derivative of 2/3*b**2 - b - 2/9*b**x + 1/36*b**4 + 0. What is g in j(g) = 0?
2
Find h, given that -20/3*h**3 + 8*h + 8/3*h**5 + 38/3*h**2 - 6*h**4 - 8/3 = 0.
-1, 1/4, 2
Let a = -2092 + 2092. Let 1/2*v**3 + a*v - v**2 + 0 = 0. Calculate v.
0, 2
Determine a so that 2*a**2 + 0 + 2*a - 1/2*a**5 - 3/2*a**3 - 2*a**4 = 0.
-2, -1, 0, 1
Let a(j) = 3*j + 60. Let x be a(-20). Let c(y) be the second derivative of 1/3*y**6 + 4/5*y**5 + 0*y**2 + 2*y - 2/3*y**3 + 1/6*y**4 + x. Factor c(t).
2*t*(t + 1)**2*(5*t - 2)
Let d(k) be the third derivative of -k**7/840 + 11*k**6/160 - 109*k**5/120 - 75*k**4/8 - 27*k**3 + 186*k**2. Factor d(o).
-(o - 18)**2*(o + 1)*(o + 2)/4
Let u(y) be the second derivative of 1/48*y**4 + 17*y - 7/24*y**3 + 0 + 3/4*y**2. Determine a, given that u(a) = 0.
1, 6
Let k(o) be the third derivative of 1/480*o**6 - 1/32*o**4 + 0*o - 1/120*o**5 + 0*o**3 + 9*o**2 + 0. Factor k(v).
v*(v - 3)*(v + 1)/4
Let q(o) be the second derivative of -o**5/100 - o**4/20 + 2*o**3/15 + 6*o**2/5 + 53*o + 2. Factor q(t).
-(t - 2)*(t + 2)*(t + 3)/5
Let u(q) = -q + 13. Let y be u(7). Suppose 0 = -5*s - b + 24, 0 = -b + y - 2. Suppose 4/7 + s*j**3 - 10/7*j - 22/7*j**2 = 0. Calculate j.
-1/2, 2/7, 1
Let q(f) be the first derivative of f**4/8 + 17*f**3/6 + 91*f**2/4 + 147*f/2 - 87. Let q(w) = 0. Calculate w.
-7, -3
Determine b, given that 131*b**4 - 71*b**2 + 94*b**4 - 169*b**4 + 56 - 4*b - 41*b**2 + 8*b**3 - 4*b**5 = 0.
-1, 1, 14
Let x(o) be the third derivative of o**5/300 - 11*o**4/30 + 242*o**3/15 - 71*o**2. Factor x(v).
(v - 22)**2/5
Factor -245*w**2 - 1649*w - 5773 + 3128 + 39*w.
-5*(7*w + 23)**2
Suppose 5*m - 23 = 5*n + 12, -5*n - 35 = 0. Factor -6/7*b**3 + m + 2/7*b**4 + 6/7*b**2 - 2/7*b.
2*b*(b - 1)**3/7
Let a be -2*1/4 - 444/(-592). Factor 0*m + 0*m**3 - 1/2*m**2 + a + 1/4*m**4.
(m - 1)**2*(m + 1)**2/4
Let r(s) be the third derivative of -s**8/504 - 2*s**7/315 + s**6/45 + s**5/45 - s**4/12 - 12*s**2 + 2*s. Solve r(f) = 0 for f.
-3, -1, 0, 1
Let l = 166 + -16. Let g be l/40 + (-3)/4. Find i, given that 0*i - 4*i**2 - 3*i**3 + i - 3*i**2 - g*i = 0.
-2, -1/3, 0
Suppose -6 + 123/5*r**2 + 99/5*r**3 + 9/5*r + 3*r**4 = 0. What is r?
-5, -1, 2/5
Let t(b) be the first derivative of -b**7/420 - b**6/90 + 2*b**5/15 + 7*b**3 - 1. Let c(v) be the third derivative of t(v). Determine y, given that c(y) = 0.
-4, 0, 2
Suppose -2/5*j**4 - 18/5*j**2 + 14/5*j + 2*j**3 - 4/5 = 0. Calculate j.
1, 2
Let 2/9*a**4 - 2/9*a**5 + 0*a + 2/9*a**3 + 0 - 2/9*a**2 = 0. What is a?
-1, 0, 1
Let h(q) be the third derivative of q**6/18 + q**5/30 + 7*q**3/3 - 4*q**2. Let j(w) be the first derivative of h(w). Factor j(r).
4*r*(5*r + 1)
Let t(x) = -3*x**3 + 8*x**2 - 16*x + 2. Let y be (93/6 - -1)*(-8 + 6). Let h(p) = -16*p**3 + 40*p**2 - 80*p + 11. Let z(a) = y*t(a) + 6*h(a). Factor z(m).
3*m*(m - 4)**2
Let k = 585 - 578. Let b(u) be the third derivative of 1/231*u**7 + 2/165*u**6 + 0*u + 2/165*u**5 + 0*u**3 + 1/1848*u**8 + k*u**2 + 0 + 0*u**4. Factor b(q).
2*q**2*(q + 1)*(q + 2)**2/11
Let r(z) be the first derivative of z**4/26 - 22*z**3/39 - 14*z**2/13 + 48*z/13 + 2. Factor r(l).
2*(l - 12)*(l - 1)*(l + 2)/13
Let p(b) = -6*b**2 + 10*b + 7. Let o(s) = 1. Suppose -2*l = 3 + 41. Let g(r) = l*o(r) + 2*p(r). What is i in g(i) = 0?
2/3, 1
Let a(w) be the third derivative of -w**6/180 + 2*w**5/15 + 3*w**4/4 + 14*w**3/9 + 152*w**2. Factor a(y).
-2*(y - 14)*(y + 1)**2/3
Solve 1/2*v**5 + 3/2*v**4 - 9/2*v**3 - 27/2*v**2 + 0 + 0*v = 0 for v.
-3, 0, 3
Let y = 170 + -166. Let v(c) be the second derivative of -1/10*c**5 + 2/3*c**3 + 0 + 1/6*c**y + 0*c**2 + c. Factor v(r).
-2*r*(r - 2)*(r + 1)
Let i(z) be the second derivative of 0*z**3 - 1/45*z**6 - z + 0*z**4 + 0 + 0*z**2 + 0*z**5 - 1/63*z**7. Let i(a) = 0. Calculate a.
-1, 0
Let f(u) be the third derivative of u**7/420 - u**5/20 - u**4/6 + 13*u**3/6 - 10*u**2. Let b(z) be the first derivative of f(z). Factor b(x).
2*(x - 2)*(x + 1)**2
Let j(s) be the first derivative of -2/5*s**2 + 0*s - 8/15*s**3 - 1/5*s**4 + 6. Factor j(z).
-4*z*(z + 1)**2/5
Factor 4600*k - 3260*k**2 + 24033*k**5 - 2000 - 42*k**4 - 24031*k**5 + 436*k**3 - 22*k**4 + 286*k**3.
2*(k - 10)**3*(k - 1)**2
Factor -135*n - 88 + 85*n + 9*n**3 - 210*n - 186*n**2.
(n - 22)*(3*n + 2)**2
Let i(a) be the first derivative of a**3/12 - 39*a**2/4 + 1521*a/4 + 118. Find t such that i(t) = 0.
39
Let w(p) = -p**3 + 3*p**2 + 17*p + 8. Let a be w(6). Suppose -12 = h + h + 4*v, v = 2*h - 8. Suppose 0*c**h - 4*c**a + 0*c**2 = 0. Calculate c.
0
Let y be (-6*(-1)/45)/(12/20). Let f(o) be the first derivative of 1/3*o**2 + 4/3*o - 4 - y*o**3. Determine k so that f(k) = 0.
-1, 2
Let g(k) be the second derivative of -k**6/180 + k**5/30 - k**4/18 - 3*k**2 + 9*k. Let w(t) be the first derivative of g(t). Let w(p) = 0. What is p?
0, 1, 2
Let 0 - 5*j**2 - 25*j + 5*j**4 + 99/4*j**3 + 1/4*j**5 = 0. What is j?
-10, -1, 0, 1
Let h(v) be the third derivative of v**5/8 - 3*v**4/8 + v**3/4 - 113*v**2. Factor h(p).
3*(p - 1)*(5*p - 1)/2
Let u(p) = 228*p - 1137. Let b be u(5). Let r(m) be the third derivative of -3/8*m**4 + 1/40*m**6 + 0 - m**2 + 0*m + 0*m**b - 1/10*m**5. Solve r(t) = 0 for t.
-1, 0, 3
Let l(r) be the second derivative of -r**7/105 - 14*r**6/75 - 18*r**5/25 - 17*r**4/15 - 11*r**3/15 - 67*r. Factor l(j).
-2*j*(j + 1)**3*(j + 11)/5
Let u(t) be the third derivative of t**6/6 - 3*t**5/10 - t**4/4 + 2*t**3/3 + 68*t**2 - 1. Determine f so that u(f) = 0.
-1/2, 2/5, 1
Let b(c) be the third derivative of c**9/2160 - 23*c**8/5040 + c**7/63 - c**6/45 - 7*c**5/30 + 14*c**2. Let f(u) be the third derivative of b(u). Factor f(v).
4*(v - 2)*(v - 1)*(7*v - 2)
Let y(s) = -2*s**2 + 41*s + 168. Let d be y(24). Factor -1/3*x**2 - 1/6*x - 1/6*x**3 + d.
-x*(x + 1)**2/6
Let p(l) = -4*l**2 + l. Let h be p(-1). Let o = 9 + h. Determine s so that 7*s**3 - o*s**3 - 16*s**2 + 8*s + 5*s**3 - 2*s**3 = 0.
0, 2/3, 2
Let c be ((-6)/(-31))/(-3) + 188/2914. Let o be 2/(-8)*8/(-3). Factor -o*v**3 - 7/3*v**4 + 7/3*v**2 + 2/3*v + c.
-v*(v - 1)*(v + 1)*(7*v + 2)/3
Let c(x) be the second derivative of -x**7/14 - 13*x**6 - 960*x**5 - 35840*x**4 - 655360*x**3 - 3145728*x**2 + x + 35. Factor c(n).
-3*(n + 2)*(n + 32)**4
Let b(t) be the second derivative of 5*t**7/42 - t**6/3 - 7*t**5/2 - 10*t**4/3 + 65*t**3/6 + 25*t**2 + 50*t + 1. Let b(v) = 0. Calculate v.
-2, -1, 1, 5
Let q be (-29 - -7)*2/3. Let j = q - -16. Determine m so that -2/3 - j*m - 2/3*m**2 = 0.
-1
Let o(g) be the third derivative of g**10/30240 - g**9/3024 + g**8/1008 + 13*g**5/30 + 21*g**2. Let d(q) be the third derivative of o(q). Factor d(a).
5*a**2*(a - 2)**2
Let o(w) be the third derivative of -w**7/105 + w**6/15 - 2*w**5/15 + 131*w**2. Factor o(x).
-2*x**2*(x - 2)**2
Let m(t) be the first derivative of -16*t**5/45 + 5*t**4/3 + 64*t**3/27 - 46*t**2/3 - 8*t + 120. Suppose m(i) = 0. Calculate i.
-2, -1/4, 3
Factor 4*j**5 - 45*j**5 - 580*j**3 - 13*j**5 + 32 + 352*j**4 - 10*j**5 + 208*j + 152*j**2.
-4*(j - 2)**3*(4*j + 1)**2
Let j be 477/69 + -7 + 12/138. Let 4/3*h**4 + 2/3*h**2 + 0*h + j + 2*h**3 = 0. What is h?
-1, -1/2, 0
Let r(k) be the first derivative of -k**7/490 + k**6/420 - 10*k**2 + 19. Let l(s) be the second derivative of r(s). Factor l(p).
-p**3*(3*p - 2)/7
Let n be (-2)/(-4) - (-6)/(-24). Let f be 6/12 - ((-28)/4 - -7). Solve 0 + n*i**2 + f*i = 0.
-2, 0
Let v be 3/(-2)*13/(-30). Let o = -2/5 + v. Determine w so that -1/4*w**2 - o + 1/2*w = 0.
1
Let i(l) be the second derivative of l**7/98 - 3*l**6/35 + 9*l**5/35 - 5*l**4/14 + 3*l**3/14 + 7*l + 9. Determine k so that i(k) = 0.
0, 1, 3
Let y = -9959 + 9959. Determine c, given that -2/5*c**4 + 2/5*c**3 + 0 + y*c + 4/5*c**2 = 0.
-1, 0, 2
Let c be (-12)/117*(-3)/(-2) + 62/65. Determine w so that 6/5 - 2/5*w**2 + c*w = 0.
-1, 3
Let c(l) = l + 6. Let q be c(-4). Let 4*u**2 + 18*u**3 - 4*u - q*u**2 + 2*u**2 + 10*u**2 = 0. What is u?
-1, 0, 2/9
Let k(g) be the third derivative of g**6/40 - 3*g**5/20 + g**4/4 - 52*g**2 + 1. Factor k(p).
3*p*(p - 2)*(p - 1)
Let y(j) be the second derivative of -j**10/64260 + j**9/42840 + j**8/57120 + 17*j**4/6 + 35*j. Let v(f) be the third derivative of y(f). Factor v(l).
-2*l**3*(l - 1)*(4*l + 1)/17
Suppose -5*n - 8 - 292 = 0. Let k = n + 62. Solve 2*t - 1/5*t**k - 5 = 0 for t.
5
Let i = -39