 m(v) = 5*v**2 + 1980*v + 328687. Let z(t) = -57*m(t) - 2*p(t). Let z(j) = 0. What is j?
-331
Suppose 1/11*g**4 + 984/11*g**2 + 0*g + 0 - 94/11*g**3 = 0. What is g?
0, 12, 82
Factor -4/3*u**3 - 476/3*u**2 - 4640*u + 4800.
-4*(u - 1)*(u + 60)**2/3
Factor -2/11*n**4 - 96/11*n**2 + 26/11*n**3 + 72/11*n + 0.
-2*n*(n - 6)**2*(n - 1)/11
Let w = 1687 + -1683. Let y(c) = c - 1 + 0*c + 2. Let d(k) = -4*k**2 + 20. Let m(o) = w*y(o) + d(o). Solve m(b) = 0.
-2, 3
Let k(f) be the second derivative of 1/105*f**6 - 1/35*f**5 + 2*f - 1/6*f**4 - 12/7*f**2 + 10 + 20/21*f**3. Factor k(n).
2*(n - 2)**2*(n - 1)*(n + 3)/7
Let f(h) = 5*h**3 - 20*h**2 - 10. Let d(y) = 30*y**2 - 163*y**3 + 322*y**3 + 14 - 167*y**3. Let r(u) = 5*d(u) + 7*f(u). Factor r(i).
-5*i**2*(i - 2)
Factor -1/2*r**4 - 18*r - 37/2 + 19*r**2 + 18*r**3.
-(r - 37)*(r - 1)*(r + 1)**2/2
Let h(w) be the third derivative of w**6/30 - 17*w**5/15 + 11*w**4 + 2*w**2 - 890*w. Factor h(a).
4*a*(a - 11)*(a - 6)
Let w = 4500 + -4500. Let q(o) be the first derivative of -1/4*o**3 + 1/16*o**4 + w*o**2 + o + 7. Factor q(z).
(z - 2)**2*(z + 1)/4
Let u = 1979 + -1818. Let m be u/(-23) - ((-315)/6)/7. Factor -m*y - 1/4*y**4 + 1/4*y**5 + 5/4*y**2 + 0 - 3/4*y**3.
y*(y - 1)**3*(y + 2)/4
Let c(q) be the first derivative of -q**4/6 - 52*q**3/9 + 64*q**2 + 3704. Determine y, given that c(y) = 0.
-32, 0, 6
Let o be (-60)/(-1050)*-5 - 94/(-280). Let q(p) be the first derivative of -20 + 0*p + 3/2*p**2 - o*p**5 - 4/3*p**3 + 7/16*p**4. Factor q(x).
-x*(x - 3)*(x - 2)**2/4
Factor -1/7*g**3 + 354/7 + 180/7*g**2 - 533/7*g.
-(g - 177)*(g - 2)*(g - 1)/7
Let y be ((2/(-104))/(-1))/((-3698)/(-688)). Let o = y + 1663/3913. Let -24/7*c**2 - 54/7 - 9*c - o*c**3 = 0. Calculate c.
-3, -2
Let b(d) be the second derivative of -3*d**6/70 + 6*d**5/7 - 65*d**4/14 + 60*d**3/7 - 81*d**2/14 - 2998*d. Determine t, given that b(t) = 0.
1/3, 1, 3, 9
Suppose 3*v = -u - 11, 4*v + 16 = -u - 0*u. Suppose u*g + 2*h - 53 = h, 0 = -g - h + 14. Factor -145 + g*b + 77 - b + 76 - 4*b**3.
-4*(b - 2)*(b + 1)**2
Solve 1881*v**3 + 1415*v**5 + 1442*v**5 - 2854*v**5 - 7581*v**2 - 135*v**4 = 0 for v.
0, 7, 19
Let u(h) be the third derivative of h**5/30 + h**3/6 - 52*h**2. Let b(l) = -4*l**2 - 4*l - 84. Let o(a) = -b(a) - 4*u(a). Factor o(z).
-4*(z - 5)*(z + 4)
Determine i, given that 4755528/5 + 2/5*i**2 - 6168/5*i = 0.
1542
Let r be (-96)/(-168)*175/50. Let 9/2*x + 15 - 3/2*x**r = 0. Calculate x.
-2, 5
Let f(d) = -59*d**3 - 50*d**2 - 207*d + 260. Let s(r) = -405*r**3 - 350*r**2 - 1450*r + 1820. Let a(j) = 55*f(j) - 8*s(j). Suppose a(n) = 0. Calculate n.
-4, 1, 13
Let p(k) be the first derivative of -3/5*k**5 + 145 - 15/2*k**4 - 84*k**2 - 96*k - 36*k**3. Factor p(s).
-3*(s + 2)**3*(s + 4)
Let s(b) = 3*b**3 - 38*b**2 - 192*b - 348. Let r(p) = -p**3 + 2*p**2 - 1. Let t(g) = 4*r(g) + s(g). Solve t(k) = 0 for k.
-22, -4
Let d(f) = -3*f - 49. Let z be d(-17). Suppose l = -0*l + z. Factor 12 + 16*h**3 - 4*h**4 + 0*h - 15*h - 4*h**l - h - 4*h**2.
-4*(h - 3)*(h - 1)**2*(h + 1)
Let s = -299536 - -299540. Find p, given that 2/9*p**5 + 2/3*p**s - 8/9*p**3 + 0*p + 0*p**2 + 0 = 0.
-4, 0, 1
Let x(f) be the second derivative of 0 + 196*f + 8/3*f**4 + 6/5*f**5 + 0*f**2 + 1/42*f**7 + 4/15*f**6 + 8/3*f**3. Solve x(q) = 0.
-2, 0
Suppose 21 = -18*g - 33. Let m be g/(-2)*(-48)/(-18). Factor -9*q**4 + 8*q**m - q**5 + q**3 - 6*q**4 - 7*q**3.
-q**3*(q + 1)*(q + 6)
Suppose -3*x = -21*g + 16*g - 14245, -4743 = -x - g. Determine n, given that -2 - 10 - 3*n**2 - 4733*n + x*n = 0.
2
Let s(l) be the first derivative of -117/5*l**5 - 24*l - 177/4*l**4 + 62*l**3 + 66*l**2 + 37. Let s(u) = 0. What is u?
-2, -2/3, 2/13, 1
Let j = 477929/63216 - 33/7024. Let g(n) = -n**3 + 8*n**2 - n + 8. Let i be g(8). Determine h, given that i*h + 4/9*h**5 + 0 - 4*h**2 - 28/9*h**4 - j*h**3 = 0.
-1, 0, 9
Suppose p = -4*d, -p + 3*p = 2*d. Let s be (344/(-602))/(-1 - (-1 + 10/35)). Find k, given that -2/3*k**3 + 0 + p*k + 4/3*k**s = 0.
0, 2
Let p(z) be the third derivative of 32/35*z**5 + 3*z - 31/21*z**4 - 38/735*z**7 + 0 + 2/7*z**3 - 3/35*z**6 - 6*z**2. Find d such that p(d) = 0.
-3, 1/19, 1
Let m(h) be the second derivative of -h**5/50 - 226*h**4/15 + 607*h**3/5 - 1368*h**2/5 + 11137*h. Factor m(u).
-2*(u - 3)*(u - 1)*(u + 456)/5
Let r be (-4 - (-236)/76)/(6/1362). Let j = -203 - r. Factor -6/19*s**2 + 2/19*s**3 + 6/19*s - j.
2*(s - 1)**3/19
Determine g, given that -37/4*g**4 - 373/4*g**2 + 25/2 - 95/2*g**3 - 335/8*g - 5/8*g**5 = 0.
-5, -4, -1, 1/5
Let a(w) be the third derivative of -w**8/1176 - w**7/35 - 5*w**6/14 - 208*w**5/105 - 32*w**4/7 - 9*w**2 - 279*w + 1. Suppose a(i) = 0. Calculate i.
-8, -3, -2, 0
Let x be 3 + (-715)/(35/(-7)). Let u = 148 - x. Factor 15/2*z**4 + 3/2*z**5 + 9*z**3 + 0*z**u + 0*z + 0.
3*z**3*(z + 2)*(z + 3)/2
Let y(f) be the first derivative of 10*f**5 - 305*f**4/4 + 10*f**3 + 800*f**2 - 160*f + 2980. Solve y(s) = 0.
-2, 1/10, 4
Let v = 426 - 435. Let p be (-6)/144*4*v. Factor p*z**3 - 9/2*z**2 + 3*z + 0.
3*z*(z - 2)*(z - 1)/2
Let u(p) = -35300*p**2 + 752*p - 26. Let n(r) = 17648*r**2 - 376*r + 14. Let b(v) = -11*n(v) - 6*u(v). Factor b(d).
2*(94*d - 1)**2
Let j = -12252362/11 + 1113852. Factor -2/11*y**3 - 8/11*y + 0 - j*y**2.
-2*y*(y + 1)*(y + 4)/11
Factor -33/2*j**2 - 2*j - 4*j**3 + 0.
-j*(j + 4)*(8*j + 1)/2
Let r = -2835 - -2835. Let n(z) be the third derivative of 1/60*z**5 + r + 1/3*z**3 + 0*z - 21*z**2 - 1/8*z**4. Solve n(l) = 0.
1, 2
Let i = 500622 + -3994221/8. Let o = i - 1344. Determine r so that 3/2 + o*r**3 - 3/2*r**2 - 3/8*r = 0.
-1, 1, 4
Determine q so that 1432/9*q**3 - 900 - 170*q - 1064/9*q**4 + 98/9*q**5 + 9164/9*q**2 = 0.
-2, -1, 1, 45/7
Let a(n) be the second derivative of n**5/15 - 2*n**4/3 - 19*n**2/2 - 46*n + 1. Let p(b) be the first derivative of a(b). Factor p(c).
4*c*(c - 4)
Factor 2*o**3 + 290/7*o**2 + 0 - 12*o.
2*o*(o + 21)*(7*o - 2)/7
Let y = -29/111 - 7784/1221. Let h = y - -577/77. Suppose -9/7*u**2 - h*u - 3/7*u**3 + 0 = 0. Calculate u.
-2, -1, 0
Let z(b) be the first derivative of b**3/24 - 77*b**2/16 - 39*b/4 - 1135. Let z(q) = 0. What is q?
-1, 78
Let s be (7320/(-260) + 28)/((-18)/26). Determine u so that 0 + s*u**2 - 10/9*u = 0.
0, 5
Suppose -39*o**4 + 12*o + 8*o**2 + 15*o**4 - 4 - 24*o**3 + 12*o**5 + 20*o**4 = 0. What is o?
-1, 1/3, 1
Let c(x) be the third derivative of x**5/90 + 25*x**4/6 - 616*x**3/9 + 233*x**2 - 7*x. What is o in c(o) = 0?
-154, 4
Let c be (975/90 - 11)/(4/(-160)). Let a(k) be the first derivative of -5/12*k**4 - 4 + 80/3*k - c*k**2 - 35/9*k**3. Factor a(s).
-5*(s - 1)*(s + 4)**2/3
Let q(r) = 2*r**4 - 36*r**3 + 331*r**2 + 2052*r + 2835. Let f(k) = k**4 - 12*k**3 + 110*k**2 + 684*k + 945. Let z(h) = -11*f(h) + 4*q(h). Solve z(x) = 0.
-5, -3, 7
Let l(c) be the first derivative of c**4/6 - 10*c**3/9 - 14*c**2/3 + 189. Let l(q) = 0. Calculate q.
-2, 0, 7
Suppose -m**3 + 139*m - 98 + 408 - 190 + 18*m**2 = 0. Calculate m.
-5, -1, 24
Factor 18/7*s**2 - 3/7*s**4 + 0*s - 15/7*s**3 + 0.
-3*s**2*(s - 1)*(s + 6)/7
Let y(c) = -14*c**2 - 126*c - 1680. Let s(p) = -18*p**2 - 125*p - 1682. Let d(u) = -4*s(u) + 5*y(u). Factor d(z).
2*(z - 76)*(z + 11)
Let i(g) = -25*g**3 + 239*g**2 - 136*g - 414. Let z(v) = 5*v**3 - 48*v**2 + 27*v + 83. Let m(j) = 3*i(j) + 14*z(j). Factor m(b).
-5*(b - 8)*(b - 2)*(b + 1)
Let i be 8/(-1 + 2)*1. Let c be i + (7 - 4) + -2. Factor -c*a + a**2 + 3*a**3 - a**4 - 4*a**2 + 10*a.
-a*(a - 1)**3
Let s(b) be the second derivative of 1/63*b**3 + 0 + 85*b - 1/126*b**4 + 0*b**2 + 1/315*b**6 - 1/210*b**5. Factor s(p).
2*p*(p - 1)**2*(p + 1)/21
Let k(y) be the third derivative of y**6/12 + 17*y**5/90 + y**4/18 - 3*y**2 - 431. Suppose k(n) = 0. Calculate n.
-1, -2/15, 0
Let h(y) be the first derivative of -y**6/12 - 7*y**5/6 - 31*y**4/6 - 70*y**3/9 - 4*y**2 - 5304. Determine t, given that h(t) = 0.
-6, -4, -1, -2/3, 0
Factor 38/3*l + 7/3*l**3 - 1/6*l**4 - 16/3 - 19/2*l**2.
-(l - 8)*(l - 4)*(l - 1)**2/6
Let x(o) be the first derivative of -55*o**4/4 - 195*o**3 + 110*o**2 - 1589. Factor x(m).
-5*m*(m + 11)*(11*m - 4)
Let b(x) = -x**2 + 10*x - 12. Let h be b(8). Let g = -291 + 293. What is l in -80*l + 20 + 7*l**3 + 75*l**g - 20*l**2 + 13*l**3 - 15*l**h = 0?
-2, 1/3, 1, 2
Suppose 0 = -14*n + 240 + 320. Determine a, given that -50*