 3*b = -g + 11. Let 3*w**2 + 15837*w + 0 + 0 - 15818*w - 4*w**g = 0. Calculate w.
0, 19
Let z(a) be the third derivative of -2*a + 52*a**2 + 1/70*a**7 - 13/12*a**4 + 4/3*a**3 + 0 + 31/60*a**5 - 2/15*a**6. Solve z(k) = 0 for k.
1, 4/3, 2
Let d(v) = -10*v**4 - 270*v**3 + 2970*v**2 - 12416*v + 16896. Let t(p) = -p**4 - 9*p**3 - p**2. Let y(z) = d(z) - 6*t(z). Suppose y(s) = 0. What is s?
-66, 4
Let z = 558857/931445 - -2/186289. Let y be (-7)/2*(-84)/245. Determine t, given that -3/5*t**2 - y*t - z = 0.
-1
Let z(d) be the second derivative of d**9/3780 - d**8/120 + 2*d**7/21 - 2*d**6/5 + 13*d**4/3 - 97*d. Let w(o) be the third derivative of z(o). Factor w(r).
4*r*(r - 6)**2*(r - 2)
Let s(i) be the third derivative of 0*i**3 + 0*i + 120*i**2 + 0 + 1/130*i**5 + 1/78*i**4 + 1/780*i**6. Factor s(a).
2*a*(a + 1)*(a + 2)/13
Let l(r) be the first derivative of 13*r + 95/12*r**3 + 5/6*r**4 - 25/4*r**2 + 43. Let h(t) be the first derivative of l(t). Find z such that h(z) = 0.
-5, 1/4
Let m(a) be the second derivative of -a**5/20 + 2*a**4 - 7*a**3/2 - 23*a**2 - 478*a. Find r, given that m(r) = 0.
-1, 2, 23
Let p(u) be the third derivative of -12/7*u**7 + 53/12*u**5 - 107/8*u**6 + 375/8*u**4 - 135/2*u**3 + 3 - 5/84*u**8 + 0*u - 5*u**2. Find h such that p(h) = 0.
-9, -1, 1/2
Let i(a) be the third derivative of 0*a + 1/6*a**5 + 0 + 5/2*a**4 + 20/3*a**3 - 1/42*a**7 - 41*a**2 - 1/8*a**6. Solve i(s) = 0.
-2, -1, 2
Let r be (-24)/(-14)*(-82)/123 + (-2 - -4). Determine u, given that 11/7*u**2 + u**5 + 0 - 13/7*u**3 - 11/7*u**4 + r*u = 0.
-1, -3/7, 0, 1, 2
Suppose -5*n + 14 - 9 = 0, -p + 2*n = 0. Suppose -51*s = -50*s - p. Factor 4/9*u**s - 16/9 - 4/3*u.
4*(u - 4)*(u + 1)/9
Suppose 3*s - 2*m = -110, 0 = 3*s - 5*m + 76 + 19. Let d = s + 42. Factor -14 - 6*z**2 + z + 9 + 11*z**d - z**3.
-(z - 5)*(z - 1)*(z + 1)
Let n(w) be the second derivative of -2*w**2 + 0*w**6 + 0 + 2/5*w**5 + 63*w - w**3 - 1/21*w**7 + 1/3*w**4. Factor n(f).
-2*(f - 2)*(f - 1)*(f + 1)**3
Let j be (0/30)/(-1 - (-5)/5*4). Let x(n) be the third derivative of 5/6*n**3 - 2*n**2 - 1/6*n**4 + j*n - 1/60*n**5 + 8. Factor x(r).
-(r - 1)*(r + 5)
Let n(i) be the third derivative of -i**8/168 + 3*i**7/35 - 7*i**6/20 + 19*i**5/30 - i**4/2 - 969*i**2. Solve n(u) = 0.
0, 1, 6
Let f(a) be the first derivative of -a**4/16 - 5*a**3/4 + 177*a**2/8 - 161*a/4 + 458. Factor f(t).
-(t - 7)*(t - 1)*(t + 23)/4
Let h(c) be the second derivative of c**10/15120 - c**8/560 + 2*c**7/315 - c**6/120 - 3*c**4 - 50*c. Let j(m) be the third derivative of h(m). Factor j(x).
2*x*(x - 1)**3*(x + 3)
Let q(f) be the second derivative of -f**5/130 - 67*f**4/78 + 68*f**3/39 - 1292*f. Suppose q(y) = 0. What is y?
-68, 0, 1
Let k(z) = 17*z**2 + 240*z - 239. Let i be k(1). Let b(p) be the first derivative of -10 - 21/2*p**2 - i*p + 3*p**3. Let b(h) = 0. What is h?
-2/3, 3
Let r = -78 - -83. Suppose 3 = -3*v - 4*o, 7*v - 27 = 3*v + r*o. Find j such that 4*j + j**3 + 0*j - 8*j**2 - 2*j**3 + 5*j**v = 0.
0, 1
Let d be 2688/1372 - 60/(-1470). Let -5/2*w**d + 1/2*w**3 + 125/2 - 25/2*w = 0. Calculate w.
-5, 5
Let k(l) be the first derivative of -l**4 - 76*l**3/3 - 224*l**2 - 768*l - 984. Factor k(r).
-4*(r + 3)*(r + 8)**2
Factor 0 - 9/2*s**5 + 1/2*s**3 + 0*s + 0*s**2 + 4*s**4.
-s**3*(s - 1)*(9*s + 1)/2
Let q(a) = 9*a**2 + 3*a - 460. Let x be q(7). Suppose 80/7 - 4/7*l**x + 4/7*l = 0. Calculate l.
-4, 5
Suppose -6*s + 2488 = -4*a, -78*s - 5*a + 1174 = -75*s. Determine u so that s*u + 963/4*u**2 + 192 + 51/2*u**3 + 3/4*u**4 = 0.
-16, -1
Let q = 628 + -628. Let t(y) = 10*y**2 + y. Let f be t(q). Solve 1/3*o**2 - 1/3*o**4 + f*o - 1/3*o**5 + 0 + 1/3*o**3 = 0 for o.
-1, 0, 1
Let a(j) = j**4 + j**3 + j**2 + 5*j + 1. Let b(t) = -1717*t**4 - 19602*t**3 + 11863*t**2 + 1160*t - 1082. Let z(o) = -2*a(o) - b(o). What is d in z(d) = 0?
-12, -2/7, 3/7
Suppose -4*h - 26*h + 90 = 0. Suppose 21*l - 66 = -h. Find p such that -3/4*p**2 - l + 3*p = 0.
2
Let h be (-3703)/1*5446/(-114366). Factor -1/12*s**2 - h + 23/3*s.
-(s - 46)**2/12
Determine f, given that -2758*f - 20*f**2 - 690 + 7*f**2 + 21*f**2 = 0.
-1/4, 345
Let b(f) be the third derivative of f**6/1020 - 164*f**5/85 + 26896*f**4/17 - 35287552*f**3/51 + 14*f**2 + 4. What is k in b(k) = 0?
328
Let k(w) be the third derivative of -w**5/60 - 145*w**4/24 - 24*w**3 - 280*w**2. What is z in k(z) = 0?
-144, -1
Factor -3148*b - 7128*b**2 + 7332*b**2 - 4*b**4 + 3132*b - 272 - 56*b**3.
-4*(b - 2)**2*(b + 1)*(b + 17)
Let i(b) be the third derivative of b**5/5 + 5*b**4/4 - 13*b**3/6 - 275*b**2. Let j be i(-3). Factor -4/3*c**j - 20/3*c**4 - 12*c**3 - 28/3*c**2 + 0 - 8/3*c.
-4*c*(c + 1)**3*(c + 2)/3
Suppose q = w - 10, 3*w - 2*q - 2*q - 29 = 0. Let g = w - 7. Determine o so that 29*o**3 - 32*o**3 - 7*o**2 - 2*o + 16*o**2 - g*o = 0.
0, 1, 2
Let t(g) be the first derivative of -19*g**3/3 - 61*g**2/2 + 67*g - 45. Let d(y) = -9*y**2 - 30*y + 33. Let b(w) = -13*d(w) + 6*t(w). Solve b(i) = 0 for i.
-9, 1
Let w(p) be the first derivative of -p**5/120 + 7*p**4/48 + 2*p**3/3 + 73*p**2/2 + 105. Let m(a) be the second derivative of w(a). Factor m(o).
-(o - 8)*(o + 1)/2
Let s(g) = g**4 + 145*g**3 + 594*g**2 + 632*g. Let o(l) = -3*l**4 - 483*l**3 - 1980*l**2 - 2106*l. Let a(c) = 8*o(c) + 27*s(c). Factor a(j).
3*j*(j + 2)*(j + 3)*(j + 12)
Let i(k) be the second derivative of -k**8/1176 + k**6/105 + 57*k**2 + 109*k + 1. Let u(g) be the first derivative of i(g). Find p, given that u(p) = 0.
-2, 0, 2
Let z(t) be the second derivative of 5*t**4/6 + 202*t**3/3 + 80*t**2 - 37*t - 5. Solve z(j) = 0.
-40, -2/5
Let m be (-41 + 114 + -84)/(11/(-2)). Determine n so that 0 + 2/3*n**m - 4/3*n = 0.
0, 2
Let p(y) be the second derivative of -9/2*y**2 + y - 3/8*y**5 + 5/4*y**3 + 75 + 5/8*y**4 + 1/20*y**6. Suppose p(t) = 0. Calculate t.
-1, 1, 2, 3
Let q = -2722 - -2727. Let d(x) be the second derivative of 3*x - 1/30*x**q + 0*x**2 - 2/9*x**3 + 0 + 1/6*x**4. Factor d(a).
-2*a*(a - 2)*(a - 1)/3
Let x(y) be the first derivative of -y**5 + 35*y**3/3 + 15*y**2 - 302. Determine k so that x(k) = 0.
-2, -1, 0, 3
Let y be 33/(-88) - (-2 - (-412)/(-32)). Let j = y - 47/6. Factor -j*n + 4/3*n**2 + 8.
4*(n - 3)*(n - 2)/3
Let b(m) = m**3 - 28*m**2 - 90*m - 93. Let c be b(31). Let h(y) be the second derivative of -5/12*y**4 + 1/20*y**5 - 15*y + 2/3*y**3 + c*y**2 + 0. Factor h(o).
o*(o - 4)*(o - 1)
Let l(b) be the third derivative of -4/15*b**4 + 6/5*b**3 + b - 10*b**2 + 0 - 1/75*b**5. Determine u so that l(u) = 0.
-9, 1
Determine v so that 26*v**2 - 1/3*v**3 - 25*v - 154/3 = 0.
-1, 2, 77
Suppose -3*p = -12, 3*r - 166 = 3*p - 4. Factor 8*n - r*n - 23*n**2 - 12 + 10*n**2 + 5*n**2.
-2*(n + 6)*(4*n + 1)
Suppose -h + 4 = -y, 2*h + 5*y + 76 = 84. Let a(j) be the second derivative of -5/9*j**3 - 25/6*j**2 - 1/36*j**h - 6*j + 0. Factor a(z).
-(z + 5)**2/3
Let c(a) be the second derivative of a**6/10 - 9*a**5/20 - 9*a**4/4 - 5*a**3/2 - 992*a. Factor c(f).
3*f*(f - 5)*(f + 1)**2
Let p = -540076 + 1620256/3. Solve 1/3*t**2 - p - t = 0.
-4, 7
Let j = -6899 + 6903. Let w(b) be the third derivative of -1/4*b**j - 7*b**2 - 4 + 1/20*b**6 + 0*b - 1/105*b**7 - 1/30*b**5 + 2/3*b**3. What is n in w(n) = 0?
-1, 1, 2
Suppose 18/5 + 1/5*b**5 + 78/5*b**3 + 112/5*b**2 + 73/5*b + 22/5*b**4 = 0. What is b?
-18, -1
Let -193*x**3 + 146*x**3 - 28*x + 14*x**2 - 96 + 49*x**3 = 0. What is x?
-8, -2, 3
Let c(s) be the first derivative of -14*s**6/3 + 72*s**5/5 + 20*s**4 - 96*s**3 + 64*s**2 - 3508. Find z, given that c(z) = 0.
-2, 0, 4/7, 2
Let f = 2777/117 + -1529/117. Factor 4*l + 0 - f*l**2 + 20/3*l**3.
4*l*(l - 1)*(5*l - 3)/3
Suppose 65*d - 10*d - 1320 = 0. Let r be 64/d - 2/3. Determine s so that -1/4*s - 1/4*s**r + 1/2 = 0.
-2, 1
Let o(b) be the third derivative of b**6/120 + 7*b**5/10 + 19*b**4/3 - 2*b**2 - 729*b. Let o(p) = 0. Calculate p.
-38, -4, 0
Let k(p) be the first derivative of -2*p**2 + 0*p - 2/3*p**3 - 2. Solve k(z) = 0 for z.
-2, 0
Let s be 13002/56 - (-1053)/(-1404). Factor -s*v + 300/7 + 75/7*v**4 + 2487/7*v**2 - 810/7*v**3.
3*(v - 5)**2*(5*v - 2)**2/7
Let y(x) = -20*x**3 - 312*x**2 + 292*x + 600. Let u(r) = -7*r**3 - 105*r**2 + 96*r + 200. Let f(t) = -8*u(t) + 3*y(t). Suppose f(n) = 0. Calculate n.
-25, -1, 2
Let -130*v - 22 + 36*v - 22*v**3 + 51*v**3 + 202 - 88*v**2 - 27*v*