.
-1, 1
Determine g, given that 13177076*g - g**2 - 2*g**2 - 13177214*g + 765 = 0.
-51, 5
Let r(u) be the first derivative of u**5/45 + 2*u**4/9 - 14*u**3/3 + u**2 - 22*u + 76. Let o(s) be the second derivative of r(s). Let o(c) = 0. Calculate c.
-7, 3
Let q(s) = s**2 - s + 2. Let c(d) = -d**2 - 5*d - 7. Let y be c(-2). Let l(b) = -6*b**2 - 45*b - 75. Let h(j) = y*l(j) - 9*q(j). Factor h(v).
-3*(v - 19)*(v + 1)
Let l(h) be the second derivative of h**6/12 + 21*h**5/20 + 19*h**4/6 + 2*h**3 - 1048*h. Let l(w) = 0. What is w?
-6, -2, -2/5, 0
Let c(w) be the second derivative of w**6/15 + 523*w**5/30 + 21811*w**4/18 - 86063*w**3/9 + 15842*w**2 - 28*w + 52. Solve c(j) = 0 for j.
-89, 2/3, 3
Find u such that 0 + 90/11*u**3 + 6/11*u**5 + 0*u - 54/11*u**4 - 42/11*u**2 = 0.
0, 1, 7
Let k(g) = -4860*g**3 + 19992*g**2 - 2151*g + 48. Let b(p) = -1944*p**3 + 7997*p**2 - 860*p + 19. Let m(f) = 12*b(f) - 5*k(f). Factor m(d).
3*(d - 4)*(18*d - 1)**2
Suppose 3*c - 3*n = 576, -5*c + 39*n = 40*n - 960. Suppose -c = -9*q - 165. Factor 0*u**q + 0*u - 1/3 + 2/3*u**2 - 1/3*u**4.
-(u - 1)**2*(u + 1)**2/3
Let m(h) be the first derivative of 2*h**3/21 - 46*h**2 + 7406*h - 5360. Factor m(y).
2*(y - 161)**2/7
Let j = 52 - 47. Factor -42 - 678 + u - 80*u - 41*u - j*u**2.
-5*(u + 12)**2
Let l be 6 - (0 - 2)*1. Let u be l/(-10)*(-30)/(-12) - -6. Factor -t**u - 3*t + 12*t**2 - 3*t**5 + 4*t**4 - 18*t**3 + 9*t**4.
-3*t*(t - 1)**4
Suppose r = -13*r + 168. Factor -12*p**2 - p**3 - 7*p - 15*p - r - p**3.
-2*(p + 1)*(p + 2)*(p + 3)
Let -3/5*z**3 - 237/5*z + 189/5 + 51/5*z**2 = 0. Calculate z.
1, 7, 9
Let z(s) = -4*s**2 + 2*s**3 + 2 + 0 + 0*s**3 - 38*s + 12*s + 22*s. Let t(q) = -3 + 4 + q + 0. Let b(i) = 10*t(i) - z(i). Factor b(r).
-2*(r - 4)*(r + 1)**2
Let y(o) = 2*o**3 - 32*o**2 + 86*o - 60. Let t(j) = -j**3 + 31*j**2 - 88*j + 60. Let b(i) = 3*t(i) + 4*y(i). Factor b(g).
5*(g - 3)*(g - 2)**2
Find h such that -6339*h**3 - 28*h**5 + 488*h**4 + 4359*h**3 + 0*h**5 - 1296*h**2 = 0.
-4/7, 0, 9
Let z(l) be the third derivative of -5*l**8/336 - 5*l**7/6 - 11*l**6/4 + l**5/6 + 335*l**4/24 + 55*l**3/2 - 2655*l**2. Suppose z(m) = 0. What is m?
-33, -1, 1
Let a(h) be the third derivative of -1/390*h**5 + 4*h**2 + 2*h + 0 + 0*h**4 + 0*h**3. Factor a(u).
-2*u**2/13
Factor 16*a**3 + 47*a**2 + 20*a - 25/2 + 3/2*a**4.
(a + 1)*(a + 5)**2*(3*a - 1)/2
Factor -1/5*w**3 + 0 + 92/5*w**2 + 93/5*w.
-w*(w - 93)*(w + 1)/5
Let l be 2/4*2 - (13 + -4 - 33). Let c(k) be the second derivative of -l*k + 3/20*k**4 + 9/10*k**3 + 1/100*k**5 + 0 + 27/10*k**2. Factor c(q).
(q + 3)**3/5
Let g(p) be the first derivative of 28/5*p**5 - 1334/3*p**3 + 1/6*p**6 - 2312*p + 1598*p**2 + 97/4*p**4 + 29. Let g(m) = 0. Calculate m.
-17, 2
Let n(c) be the first derivative of 40/3*c**3 - c**4 - 22 - 56*c**2 + 96*c. Factor n(i).
-4*(i - 6)*(i - 2)**2
Let p = -17835 - -17841. Let m(w) be the third derivative of 2*w**2 + 0*w + 1/540*w**p + 17/270*w**5 + 64/27*w**3 + 0 + 20/27*w**4. Solve m(r) = 0 for r.
-8, -1
Let j(t) be the third derivative of -t**5/390 - 127*t**4/39 - 2*t**2 + 23*t. Factor j(x).
-2*x*(x + 508)/13
Let w(n) be the first derivative of -n**5/5 + n**4/3 - 62*n - 42. Let f(q) be the first derivative of w(q). Solve f(c) = 0 for c.
0, 1
Let o(n) be the second derivative of -1/90*n**5 - 361/9*n**3 - 19/18*n**4 + 83*n + 0 - 6859/9*n**2. Factor o(f).
-2*(f + 19)**3/9
Let z = 77 - 60. Let b = z + -14. Factor -18*w**3 - 9*w**2 + 9 + b*w**5 - 349*w - 3*w**4 + 3*w**2 + 364*w.
3*(w - 3)*(w - 1)*(w + 1)**3
Solve 166/5 - 82/5*m**2 - 17*m + 1/5*m**3 = 0 for m.
-2, 1, 83
Let k(m) = -m**3 + 10*m**2 - m. Let r(s) = 5*s**3 - 106*s**2 - 314*s - 608. Let u(v) = 6*k(v) + r(v). Factor u(i).
-(i + 4)**2*(i + 38)
Suppose -149*a + 118*a + 78*a = 0. Factor -2/21*t**3 + 2/21*t**4 + a + 0*t + 0*t**2.
2*t**3*(t - 1)/21
Let r(t) be the second derivative of -t**7/14 + 287*t**6/5 - 82938*t**5/5 + 1823620*t**4 - 13934600*t**3 + 41154000*t**2 + 872*t. Factor r(n).
-3*(n - 190)**3*(n - 2)**2
Let a(f) be the first derivative of -38*f**3/3 - 50*f**2/3 - 16*f/3 + 2884. Factor a(r).
-2*(3*r + 2)*(19*r + 4)/3
Let f = -32885/7 - -32889/7. Factor f*n**2 + 60/7 - 64/7*n.
4*(n - 15)*(n - 1)/7
Let y(f) be the second derivative of f**7/14 - 13*f**6/5 + 21*f**5/2 - 5*f**4 - 71*f**3/2 + 69*f**2 - 52*f - 11. Determine t, given that y(t) = 0.
-1, 1, 2, 23
Suppose -76*n = -62*n - 56. Let u(j) be the second derivative of -1/12*j**n + 0 - 15*j - j**2 + 1/2*j**3. Determine v, given that u(v) = 0.
1, 2
Find o such that -170*o**2 - 1328*o**3 + 2654*o**3 - 99*o - 66*o - 1331*o**3 = 0.
-33, -1, 0
Let 15*n**4 + 221/3*n**2 - 85/3*n - 2/3 - 179/3*n**3 = 0. Calculate n.
-1/45, 1, 2
Let k(b) be the third derivative of b**7/105 - 65*b**5/6 + 108*b**3 - 29*b**2 - 7. Solve k(x) = 0.
-18, -1, 1, 18
Let o(j) be the third derivative of 0*j + 392*j**3 + 1/20*j**5 + 0 - 88*j**2 - 7*j**4. Let o(i) = 0. What is i?
28
Let a(i) be the second derivative of 7/4*i**5 + 5/126*i**7 + 0*i**2 + 6 + 5/3*i**3 + 95/36*i**4 + 3*i + 1/2*i**6. Factor a(p).
5*p*(p + 1)**3*(p + 6)/3
Let w = 22773291/1127 - 20207. Let t = w + 2244/5635. Find o such that 2/5*o**2 + 4/5*o + t = 0.
-1
Suppose 8649/2 - 93*f + 1/2*f**2 = 0. What is f?
93
Let r be ((-108)/(-45))/(6/20). Suppose 1 = -g + 4*j + 3, 0 = 4*g - 5*j - r. Suppose 15*m**3 + 4*m**g - 38*m + 24 + 28*m**2 - 14*m - 19*m**3 = 0. What is m?
1, 6
Let r be 3/120*4*-30*1/(-2). Let h(d) be the first derivative of -5/2*d - 28 - 1/6*d**3 + r*d**2. Factor h(j).
-(j - 5)*(j - 1)/2
Let f(v) = -335*v + 2. Let j be f(0). Let u(r) = -r**2 + 2*r. Let c be u(2). Factor -10/21*z + c + 2/21*z**j.
2*z*(z - 5)/21
Let x(t) be the first derivative of t**3/6 - 941. Factor x(g).
g**2/2
Let w(l) = -2*l**4 - 61*l**3 + 14*l**2 + 232*l - 6. Let f(j) = 6*j**4 + 184*j**3 - 44*j**2 - 696*j + 20. Let x(k) = 3*f(k) + 10*w(k). Factor x(c).
-2*c*(c - 2)*(c + 2)*(c + 29)
Let s = 11823 - 11819. Let y(z) be the third derivative of 0*z - 9*z**2 + 1/75*z**5 + 0 + 0*z**3 + 1/900*z**6 - 7/180*z**s. Factor y(u).
2*u*(u - 1)*(u + 7)/15
Suppose -3*f = 4*c - 44, -9*c + 96 = -6*c + 18*f. Suppose -8/5 - c*v + 22/5*v**2 = 0. What is v?
-2/11, 2
Let d(u) be the first derivative of 2*u**5/5 + 37*u**4/8 + 89*u**3/6 + 17*u**2 + 6*u - 208. Solve d(x) = 0 for x.
-6, -2, -1, -1/4
Let r = 83 + -81. Find x such that -5*x**r - 2453*x + 2863*x - 2047 - 6358 = 0.
41
Let y(c) be the first derivative of c**6/210 - 2*c**5/105 + c**4/42 - 117*c**2/2 - 152. Let g(p) be the second derivative of y(p). Determine x so that g(x) = 0.
0, 1
Let v(b) = -9*b**3 - 1. Let z be v(-1). Suppose -3*q = -q - z. Let -a - a**3 - a**2 + 2*a**3 - 5*a + q*a = 0. Calculate a.
-1, 0, 2
Suppose 5*l - 1364 - 2360 = -2*n, -2*l + 1501 = -3*n. Let w = l + -743. Factor -8*b**2 + 20/3*b - 2/3*b**4 - 2 + 4*b**w.
-2*(b - 3)*(b - 1)**3/3
Let i(p) be the third derivative of p**7/210 - p**6/120 - p**5/6 - p**4/3 + 4741*p**2. What is n in i(n) = 0?
-2, -1, 0, 4
Suppose 250 + 74 = 18*r. Suppose r*w = 77*w + 31*w. Factor w + k**3 - 1/2*k**4 + 3/2*k**2 + 0*k.
-k**2*(k - 3)*(k + 1)/2
Let x(v) be the third derivative of -v**5/180 - 797*v**4/18 - 1270418*v**3/9 - 3*v**2 - v + 90. Determine u, given that x(u) = 0.
-1594
Suppose 4*b - 74 = -33*b. Let v be (-33 + 33)/(b/2). Factor -2/11*c**2 - 6/11*c + v.
-2*c*(c + 3)/11
Let u(n) = 27 - 29 - 88*n - 31 - 47. Let p(k) = k**2 - 89*k - 80. Let w(j) = -4*p(j) + 5*u(j). Determine m, given that w(m) = 0.
-20, -1
Suppose -148*o + 57003 = 56559. Suppose -8/9*b**o + 0 + 0*b - 2/3*b**4 - 2/9*b**2 = 0. Calculate b.
-1, -1/3, 0
Let u(j) be the first derivative of j**4/4 - 82*j**3 + 15129*j**2/2 + 683. Factor u(c).
c*(c - 123)**2
Let u be (3 - -1)*3216/5360*(-2)/(-3). Suppose -2/5*m**5 + u*m**4 - 12/5 - 22/5*m + 4/5*m**2 + 24/5*m**3 = 0. Calculate m.
-1, 1, 6
Let h be (-920)/(-483)*963/4. Let p = -458 + h. Determine k, given that p*k**3 - 4/7*k**4 + 0 + 1/7*k**5 + 0*k + 0*k**2 = 0.
0, 2
Let l(d) be the second derivative of d**9/5040 - d**8/448 - d**7/140 - d**4/6 - 61*d**2/2 - d - 5. Let j(v) be the third derivative of l(v). Factor j(a).
3*a**2*(a - 6)*(a + 1)
Let f(x) = -x**3 - x**2. Let l(k) = 102*k**2 - 98*k. Let y(t) = 2*f(t) + l(t). Suppose y(m) = 0. Calculate m.
0, 1, 49
Let t(l) be the second derivative of 15/2*l**2 + 1