8)
Find n, given that 25*n**5 + 5460*n**4 - 66285*n**3 + 95300*n**2 - 34500*n = 0.
-230, 0, 3/5, 1, 10
Suppose a**2/5 + 6278*a/5 + 379237/5 = 0. What is a?
-6217, -61
Find u, given that u**2/2 + 4177*u + 17447329/2 = 0.
-4177
Factor -3*a**2 + 2307*a - 443502.
-3*(a - 387)*(a - 382)
Suppose -n**4 + 2921*n**3 - 2131593*n**2 - 2152053*n + 12807126 = 0. Calculate n.
-3, 2, 1461
Factor -4*w**4/3 + 6544*w**3 - 24068824*w**2/3 - 16065520*w - 24108100/3.
-4*(w - 2455)**2*(w + 1)**2/3
Solve 2*r**4/5 + 20*r**3 - 13928*r**2/5 + 48112*r - 226560 = 0.
-118, 10, 48
Determine l, given that l**5/5 + 153*l**4/5 - 32*l**3 - 184*l**2 + 624*l/5 + 1232/5 = 0.
-154, -2, -1, 2
Factor -5*x**2 + 4067540*x - 827244082580.
-5*(x - 406754)**2
Suppose 4*b**5 + 1716*b**4/7 + 20928*b**3/7 - 16336*b**2/7 - 6336*b/7 = 0. Calculate b.
-44, -18, -2/7, 0, 1
Find y such that -4*y**5 - 117408*y**4 - 861539900*y**3 + 117408*y**2 + 861539904*y = 0.
-14676, -1, 0, 1
Solve -5*x**4 + 9425*x**3 - 9420*x**2 = 0 for x.
0, 1, 1884
Suppose 4*w**5 - 72*w**4 - 144*w**3 + 3672*w**2 + 16524*w + 19440 = 0. Calculate w.
-3, 12, 15
Factor 4*h**2/3 - 40832*h/3 + 104203264/3.
4*(h - 5104)**2/3
Let 2*z**2/11 - 126*z/11 - 2080 = 0. Calculate z.
-80, 143
Solve -k**2/5 - 590*k + 11816/5 = 0.
-2954, 4
Let 100*g**4 + 408*g**3 + 116*g**2 - 624*g = 0. What is g?
-3, -52/25, 0, 1
Factor 2*m**3/3 - 494*m**2/3 + 9568*m/3 - 17176/3.
2*(m - 226)*(m - 19)*(m - 2)/3
Solve 4*d**2 + 6636*d + 144056 = 0.
-1637, -22
Suppose 5*o**3 + 195*o**2 - 8130*o - 8320 = 0. What is o?
-64, -1, 26
Factor -r**3 - 1350*r**2 - 454272*r + 913952.
-(r - 2)*(r + 676)**2
What is u in u**2 - 17*u + 66 = 0?
6, 11
Determine k, given that -3*k**3/4 - 7875*k**2 - 82718991*k/4 - 82656003/2 = 0.
-5249, -2
Factor -f**2 + 47048*f - 553378576.
-(f - 23524)**2
Factor -4*t**2 + 176*t + 496500.
-4*(t - 375)*(t + 331)
Factor t**3/3 + 4232*t**2/3 - 21179*t/3 + 8474.
(t - 3)*(t - 2)*(t + 4237)/3
Suppose -2*r**3 + 5390*r**2 = 0. Calculate r.
0, 2695
Determine b, given that 2*b**5/7 + 106*b**4/7 + 1046*b**3/7 + 2446*b**2/7 - 4216*b/7 - 1640 = 0.
-41, -7, -5, -2, 2
Factor o**2 - 969*o + 21758.
(o - 946)*(o - 23)
Factor -2*b**2/9 - 2104*b/3 + 6314/9.
-2*(b - 1)*(b + 3157)/9
Find j, given that 3*j**4 + 501*j**3 - 2043*j**2 + 1539*j = 0.
-171, 0, 1, 3
Suppose -2*y**5/3 + 476*y**4/3 - 9400*y**3 + 642500*y**2/3 - 5093750*y/3 = 0. What is y?
0, 25, 163
Factor 4*s**4 - 14188*s**3 - 42588*s**2 - 42596*s - 14200.
4*(s - 3550)*(s + 1)**3
Determine j so that 5*j**2 + 2648490*j - 2648495 = 0.
-529699, 1
Find s, given that -4*s**5/5 + 36624*s**4/5 - 83832332*s**3/5 - 36624*s**2/5 + 83832336*s/5 = 0.
-1, 0, 1, 4578
Determine j so that j**5 - 115*j**4 - 17*j**3 + 29403*j**2 - 222588*j + 329508 = 0.
-18, 2, 9, 113
Factor 3*j**3 + 531*j**2 + 5508*j + 4980.
3*(j + 1)*(j + 10)*(j + 166)
Let 45*q**3/2 + 12489*q**2/2 - 41235*q + 24708 = 0. What is q?
-284, 2/3, 29/5
Solve -35*q**5 - 4070*q**4 - 75185*q**3 - 423650*q**2 - 447500*q - 95000 = 0 for q.
-95, -10, -1, -2/7
Factor 189*h**2 + 98265*h - 7800.
3*(h + 520)*(63*h - 5)
Factor -4*g**3 - 216*g**2 - 3836*g - 22440.
-4*(g + 15)*(g + 17)*(g + 22)
Factor -i**2/7 + 50*i/7 - 184/7.
-(i - 46)*(i - 4)/7
Find s, given that 12*s**3 + 832*s**2 - 2284*s + 1440 = 0.
-72, 1, 5/3
Let -4*k**3 + 12084*k**2 - 917900*k - 929988 = 0. Calculate k.
-1, 79, 2943
Factor i**3/8 + 5*i**2 + 47*i/2 - 68.
(i - 2)*(i + 8)*(i + 34)/8
Factor r**5 - 14*r**4 + 53*r**3 - 40*r**2.
r**2*(r - 8)*(r - 5)*(r - 1)
Determine q, given that 4*q**3 + 1412*q**2 + 1400*q - 2816 = 0.
-352, -2, 1
Factor -q**3 + 1450*q**2 - 46793*q + 45344.
-(q - 1417)*(q - 32)*(q - 1)
Suppose -2*c**5/5 - 714*c**4/5 - 72918*c**3/5 - 1593262*c**2/5 - 2690256*c/5 + 4357152/5 = 0. What is c?
-164, -27, -3, 1
What is g in -2*g**3/13 + 184*g**2/13 + 1018*g/13 - 4656/13 = 0?
-8, 3, 97
Factor -375*h**5 + 2454675*h**4 - 5356755180*h**3 + 3899001900816*h**2 - 3893647599936*h.
-3*h*(h - 1)*(5*h - 10908)**3
Factor 2*a**3/17 + 328*a**2/17 - 2722*a/17 + 5160/17.
2*(a - 5)*(a - 3)*(a + 172)/17
Suppose o**2/8 + 830299*o/4 + 689396429401/8 = 0. Calculate o.
-830299
What is w in 2*w**4/11 + 48440*w**3/11 + 292430984*w**2/11 - 10574645760*w/11 + 95313272832/11 = 0?
-12128, 18
Factor -l**2/2 - 146641*l - 21503582881/2.
-(l + 146641)**2/2
Factor 2*j**3/3 - 78910*j**2/3.
2*j**2*(j - 39455)/3
Factor -2*r**2/7 + 8520*r/7 - 9073800/7.
-2*(r - 2130)**2/7
Factor 3*z**3 + 516*z**2 + 5931*z - 42930.
3*(z - 5)*(z + 18)*(z + 159)
Factor 184808896722*z**3/11 + 924042051762*z**2/11 - 12159232*z/11 + 40/11.
2*(z + 5)*(303981*z - 2)**2/11
Factor -2*a**2/5 - 2478*a/5 - 2476/5.
-2*(a + 1)*(a + 1238)/5
Suppose -4*r**5/7 + 1880920*r**4/7 + 3761852*r**3/7 + 268704*r**2 = 0. Calculate r.
-1, 0, 470232
Let -3*l**3 + 567*l**2 - 1122*l = 0. What is l?
0, 2, 187
Factor 2*w**3/7 + 158*w**2/7 - 870*w + 49050/7.
2*(w - 15)**2*(w + 109)/7
Find s, given that s**4/3 - 2854*s**3/3 + 1017623*s**2 - 1450602580*s/3 + 258338392900/3 = 0.
685, 742
Factor 2*o**4/5 - 98094*o**3/5 - 294294*o**2/5 - 294298*o/5 - 19620.
2*(o - 49050)*(o + 1)**3/5
Suppose r**3/8 + 15543*r**2/8 + 38847*r/4 + 7769 = 0. What is r?
-15538, -4, -1
Factor -2*m**2 - 192404*m - 4627412402.
-2*(m + 48101)**2
What is b in -5*b**2/2 - 416245*b/2 - 208120 = 0?
-83248, -1
Factor -i**2/2 - 9*i + 20.
-(i - 2)*(i + 20)/2
Determine n so that 40*n**5 - 4350*n**4 + 10325*n**3 + 142550*n**2 - 110415*n + 18550 = 0.
-5, 1/4, 1/2, 7, 106
Find m such that -12*m**2 - 36068*m + 12024 = 0.
-3006, 1/3
Suppose 3*m**2 + 8571*m - 8574 = 0. What is m?
-2858, 1
Suppose -2*n**4/5 - 34*n**3/5 + 810*n**2 + 12402*n/5 = 0. Calculate n.
-53, -3, 0, 39
Factor 2*t**2/13 - 6156*t/13 + 4737042/13.
2*(t - 1539)**2/13
Factor -6*y**4/7 + 1830*y**3/7 - 145722*y**2/7 + 133206*y.
-6*y*(y - 149)**2*(y - 7)/7
Factor 6*l**2/11 + 228706*l/11 + 152468/11.
2*(l + 38117)*(3*l + 2)/11
Factor q**4 + 260*q**3 + 762*q**2 - 2308*q + 1285.
(q - 1)**2*(q + 5)*(q + 257)
Suppose -3*l**4/4 - 1077*l**3/4 + 9567*l**2/2 - 3972*l - 9024 = 0. What is l?
-376, -1, 2, 16
Factor -3*b**2 - 10206*b + 835680.
-3*(b - 80)*(b + 3482)
Solve r**5 - 127*r**4/4 - 58*r**3 + 1127*r**2/2 - 351*r - 495/4 = 0.
-5, -1/4, 1, 3, 33
Solve -2*z**5/7 - 414*z**4/7 + 894*z**3/7 + 12062*z**2/7 - 12540*z/7 = 0.
-209, -5, 0, 1, 6
Determine u so that -28*u**4 - 376*u**3 - 668*u**2 - 320*u = 0.
-80/7, -1, 0
Solve 14*i**2 + 54480*i - 31136 = 0.
-3892, 4/7
Solve -3*o**5 - 102*o**4 - 1098*o**3 - 3144*o**2 + 6981*o + 9126 = 0.
-13, -9, -1, 2
Factor -g**2/6 - 28229*g/6 + 4705.
-(g - 1)*(g + 28230)/6
Factor -r**2/6 - 3629*r/6 + 1816.
-(r - 3)*(r + 3632)/6
Find c such that -2*c**3/13 + 12846*c**2/13 - 22269150*c/13 + 397136250 = 0.
273, 3075
Determine l so that -2*l**4/7 - 126*l**3 + 9006*l**2/7 - 6350*l/7 - 16236/7 = 0.
-451, -1, 2, 9
Solve 3*h**2 + 2589*h + 2586 = 0.
-862, -1
Find q, given that 346*q**5/5 - 1736*q**4/5 + 2798*q**3/5 - 1432*q**2/5 + 24*q/5 = 0.
0, 3/173, 1, 2
Determine c, given that 15*c**5 - 149285*c**4 - 99530*c**3 = 0.
-2/3, 0, 9953
Factor -l**2/6 - 4435*l/3 - 2956.
-(l + 2)*(l + 8868)/6
Determine x, given that -2*x**3 + 33876*x**2 + 67758*x + 33880 = 0.
-1, 16940
Factor -m**2/10 + 353*m/5.
-m*(m - 706)/10
Factor -2*m**3/9 - 80*m**2/9 + 982*m/9 - 100.
-2*(m - 9)*(m - 1)*(m + 50)/9
Factor 5*c**2 - 1865*c - 985300.
5*(c - 668)*(c + 295)
What is n in 7*n**3 + 326*n**2 - 488*n - 384 = 0?
-48, -4/7, 2
Suppose -5*t**5 - 80*t**4 - 105*t**3 + 1150*t**2 - 380*t - 1560 = 0. What is t?
-13, -6, -1, 2
Solve -8*r**3/5 - 186*r**2/5 + 754*r = 0.
-145/4, 0, 13
Factor r**3 - 1891*r**2 + 835575*r + 56086875.
(r - 975)**2*(r + 59)
Factor -m**2 - 16872*m + 84385.
-(m - 5)*(m + 16877)
Factor i**2 + 5359*i - 10722.
(i - 2)*(i + 5361)
Let -18*o**4/7 - 2568*o**3/7 + 2484*o**2 + 60168*o/7 + 40230/7 = 0. Calculate o.
-149, -5/3, -1, 9
Suppose 3*q**4 - 573*q**3 - 2370*q**2 + 121056*q = 0. What is q?
-16, 0, 13, 194
Factor -2*x**2 - 806*x + 22308.
-2*(x - 26)*(x + 429)
Let m**2/3 + 433988*m/3 + 47086396036/3 = 0. Calculate m.
-216994
Find i, given that 268*i**3 + 55428*i**2 + 45272*i - 9888 = 0.
-206, -1, 12/67
Determine n, given that 2*n**5 - 306*n**4 - 2206*n**3 - 5406*n**2 - 5428*n - 1920 = 0.
-3, -2, -1, 160
Solve -2*j**3 + 12*j**2 + 776*j - 1584 = 0.
-18, 2, 22
Find m, g