.
3*a**2*(a - 160444)*(a - 6)/8
Let -c**2/5 + 53571*c/5 - 25588898/5 = 0. What is c?
482, 53089
Determine f so that 76*f**4/5 - 3486*f**3/5 - 29698*f**2/5 - 38304*f/5 - 12168/5 = 0.
-6, -1, -1/2, 1014/19
Determine w so that -5*w**2 + 15105*w - 7217350 = 0.
595, 2426
Determine d, given that 2*d**3 + 186172*d**2 + 4338081458*d + 259615100280 = 0.
-46513, -60
Suppose -65*i**3 + 26172*i**2 - 546924*i + 989680 = 0. What is i?
2, 20, 24742/65
Factor -5*z**2 + 2815*z + 3366570.
-5*(z - 1149)*(z + 586)
What is t in 63*t**5 - 1939578*t**4 + 23175738*t**3 - 66566148*t**2 - 5447385*t + 6462750 = 0?
-1/3, 2/7, 5, 7, 30775
Let -2*t**3 - 61371528*t**2 - 470808056131848*t = 0. What is t?
-15342882, 0
Factor 4*m**2 + 9070728*m + 27212148.
4*(m + 3)*(m + 2267679)
Solve -f**4/2 - 3907*f**3 - 11184249*f**2/2 = 0.
-5927, -1887, 0
What is k in 4*k**2/7 + 6187808*k/7 + 160880304/7 = 0?
-1546926, -26
Solve f**2/3 - 6423755*f/3 - 12847514/3 = 0 for f.
-2, 6423757
Find b such that 2*b**3 - 704*b**2 + 7782*b + 128520 = 0.
-9, 21, 340
Suppose -3*n**5 + 10170*n**4 - 7855290*n**3 - 1295394600*n**2 - 47293905195*n + 99832068486 = 0. Calculate n.
-73, 2, 1767
Factor -2*b**3 - 3088*b**2 + 72238*b + 244452.
-2*(b - 26)*(b + 3)*(b + 1567)
Factor -2*p**2/9 + 2333642*p/9 + 2333644/9.
-2*(p - 1166822)*(p + 1)/9
Factor 4*s**4 - 563176*s**3 - 118399260*s**2 - 6218276400*s.
4*s*(s - 141004)*(s + 105)**2
Factor 45*g**3 - 1320405*g**2 - 19373200*g - 71043940.
5*(g - 29357)*(3*g + 22)**2
Solve -2*d**3/5 - 435114*d**2 + 13053474*d/5 - 19580238/5 = 0 for d.
-1087791, 3
Determine u, given that -3*u**5/2 - 8499*u**4 - 423417*u**3/2 - 963813*u**2 + 4500930*u - 3316908 = 0.
-5641, -14, 1, 2
Let -4*w**2 - 371640912*w - 8632310467011984 = 0. What is w?
-46455114
Solve 2*a**5 + 1055*a**4/2 - 30537*a**3/2 - 25073*a**2/2 + 45665*a/2 + 19575 = 0 for a.
-290, -1, 5/4, 27
Determine a, given that 4*a**4/7 + 172824*a**3/7 - 6745780*a**2/7 + 2718216*a - 12454560/7 = 0.
-43245, 1, 2, 36
Factor j**2/2 + 5298*j - 63648.
(j - 12)*(j + 10608)/2
Suppose 5*a**3 - 144750*a**2 - 2172305*a - 2027550 = 0. Calculate a.
-14, -1, 28965
Determine f so that 3*f**5 + 3267*f**4 + 205146*f**3 + 2628288*f**2 - 23864544*f = 0.
-1023, -36, 0, 6
Suppose v**5/4 + 562373*v**4 + 3374230*v**3 + 4498969*v**2/2 - 13496921*v/4 - 5623715/2 = 0. Calculate v.
-2249486, -5, -1, 1
Factor -w**3/5 - 73318169*w**2/5 - 1343888513037224*w/5 - 1343888439719056/5.
-(w + 1)*(w + 36659084)**2/5
Determine k so that -k**5 + 6506*k**4 - 8614811*k**3 - 6673618898*k**2 + 8614812*k + 6673612392 = 0.
-538, -1, 1, 3522
What is q in -2*q**4/17 - 252440*q**3/17 + 2272068*q**2/17 - 6816312*q/17 + 6816366/17 = 0?
-126229, 3
Suppose -5*d**3 - 1937365*d**2 - 187662376200*d + 1313731566000 = 0. Calculate d.
-193740, 7
Factor -2*p**3/5 + 345096*p**2/5 + 9663864*p/5 + 67649792/5.
-2*(p - 172576)*(p + 14)**2/5
Factor -4*p**3 + 216292*p**2 - 54315072*p + 3417848784.
-4*(p - 53821)*(p - 126)**2
Factor 2*o**3 + 228351106*o**2.
2*o**2*(o + 114175553)
Determine k, given that -3*k**4 - 2194*k**3 - 33029*k**2 - 66614*k - 18616 = 0.
-716, -13, -2, -1/3
Suppose -h**3/6 + 28381*h**2/6 + 2*h/3 - 56762/3 = 0. What is h?
-2, 2, 28381
Factor -4*q**2/3 + 4516*q + 217792/3.
-4*(q - 3403)*(q + 16)/3
What is x in -2*x**2/9 - 70618*x/9 + 141260/3 = 0?
-35315, 6
Suppose 718360*o**2 + 718363*o + 3 = 0. Calculate o.
-1, -3/718360
Let 4*a**5 - 1416*a**4 - 50716*a**3 - 142176*a**2 - 92880*a = 0. What is a?
-30, -2, -1, 0, 387
Determine o so that -o**2/3 + 8872*o/3 - 1271269 = 0.
453, 8419
Solve -2*u**4/5 + 8302*u**3 - 1575214*u**2/5 + 14957674*u/5 = 0.
0, 19, 20717
Solve z**4/2 + 1403*z**3 - 16890*z**2 + 50724*z = 0 for z.
-2818, 0, 6
Factor -3*u**3/5 - 1099791*u**2/5 - 20158674120*u + 60478002000.
-3*(u - 3)*(u + 183300)**2/5
Find m such that -5*m**3 + 92775*m**2 - 434824335*m + 41309603885 = 0.
97, 9229
Factor -148*a**2 + 21233692*a - 21233544.
-4*(a - 1)*(37*a - 5308386)
Let -75*u**5 - 744465*u**4 + 6559083*u**3 + 19699221*u**2 - 18717144*u + 3934260 = 0. Calculate u.
-9935, -3, 2/5, 11
What is c in -4*c**3/3 - 7532*c**2/3 - 186200*c/3 - 743200/3 = 0?
-1858, -20, -5
Factor 11*q**2/9 - 60678865*q/9 - 11032522/3.
(q - 5516261)*(11*q + 6)/9
Suppose 3*z**3 + 1578*z**2 - 3070515*z - 43288266 = 0. Calculate z.
-1303, -14, 791
What is t in -3*t**5 + 156*t**4 + 2097*t**3 - 85386*t**2 - 550644*t - 463320 = 0?
-22, -5, -1, 26, 54
Let -3*v**4 - 1629*v**3 + 493365*v**2 + 5591997*v + 9197550 = 0. What is v?
-757, -9, -2, 225
What is w in w**4 - 133060*w**3 + 1729667*w**2 - 7450712*w + 10643760 = 0?
4, 5, 133047
Factor -4*b**2 + 7780*b - 2059056.
-4*(b - 1629)*(b - 316)
Let 2*p**2/19 + 9130*p/19 + 7302108/19 = 0. What is p?
-3531, -1034
Factor -2*h**2/3 - 211692932*h/3 - 5601737182344578/3.
-2*(h + 52923233)**2/3
Let 3*b**4 + 24492*b**3 - 1604655*b**2 = 0. What is b?
-8229, 0, 65
Determine s so that -2*s**2/21 - 167016336*s/7 - 10460421184074336/7 = 0.
-125262252
Factor -2*f**4 - 15652*f**3 - 39157680*f**2 - 26605081792*f + 11835653431552.
-2*(f - 298)*(f + 2708)**3
What is m in 2*m**4/7 + 158*m**3/7 + 390*m**2 + 4194*m/7 - 5940 = 0?
-55, -21, -6, 3
Let u**3/7 - 2556*u**2/7 + 2100912*u/7 - 77834944 = 0. What is u?
532, 1012
Let -y**4/3 + 18364*y**3/3 - 92101636*y**2/3 + 23850281728*y - 5060270272512 = 0. What is y?
446, 8736
Factor 5*x**3 - 23350*x**2 + 209815*x - 326270.
5*(x - 4661)*(x - 7)*(x - 2)
Suppose 3*s**4 - 1755*s**3 + 89124*s**2 - 888732*s + 801360 = 0. What is s?
1, 12, 42, 530
Factor -1085756*b**2/5 + 1085758*b/5 - 2/5.
-2*(b - 1)*(542878*b - 1)/5
Suppose -p**2/4 - 904491*p/4 - 678366 = 0. Calculate p.
-904488, -3
Suppose d**2 + 27612*d - 23255740 = 0. What is d?
-28430, 818
Factor -5*z**2 - 33180*z - 6123700.
-5*(z + 190)*(z + 6446)
Solve 2*a**4/11 + 1406*a**3/11 + 223294*a**2/11 + 8924266*a/11 - 141716568/11 = 0 for a.
-497, -109, 12
Find d, given that 2*d**3/13 - 5198*d**2/13 - 131152*d/13 - 125952/13 = 0.
-24, -1, 2624
Suppose -36*r**5/13 + 502*r**4/13 - 512*r**3/13 - 7158*r**2/13 - 396*r/13 = 0. What is r?
-3, -1/18, 0, 6, 11
Find d such that -3*d**5/2 - 60*d**4 + 30570*d**3 - 60825*d**2 - 61137*d/2 + 60885 = 0.
-165, -1, 1, 2, 123
Determine p so that p**2/3 + 114215300*p/3 + 3261283688522500/3 = 0.
-57107650
Factor -m**2/2 + 4340960*m + 8681922.
-(m - 8681922)*(m + 2)/2
Let -2*f**5/7 + 8*f**4/7 + 56*f**3 + 148*f**2 - 3270*f/7 + 1836/7 = 0. Calculate f.
-9, -6, 1, 17
Determine f so that 195*f**4 + 453610*f**3 - 1724360*f**2 - 372800*f = 0.
-2330, -8/39, 0, 4
Determine y so that 5*y**5 + 254740*y**4 - 23478865*y**3 - 23733600*y**2 = 0.
-51040, -1, 0, 93
Solve 29826*h**2/5 + 14943*h/5 + 3 = 0 for h.
-1/2, -5/4971
Determine h so that -20*h**5 + 10565*h**4 - 1238160*h**3 - 48973680*h**2 + 1767415680*h - 438773760 = 0.
-48, 1/4, 24, 276
Solve 4*i**5/9 - 5918302*i**4/9 + 2189130343948*i**3/9 + 9851224148750*i**2/9 - 6567456133400*i/9 - 5472892441000/9 = 0 for i.
-5, -1/2, 1, 739790
Factor -2*l**3/3 + 17635810*l**2/3.
-2*l**2*(l - 8817905)/3
Factor 2*p**2 + 124740108*p + 1945011817981458.
2*(p + 31185027)**2
Determine g so that 7*g**5 - 3329*g**4 + 3618682*g**3/7 - 181057868*g**2/7 - 192030968*g/7 + 369493408/7 = 0.
-2, 1, 116, 1262/7
Factor -a**3 - 699253*a**2 + 6992605*a - 17481575.
-(a - 5)**2*(a + 699263)
Suppose m**4/4 + 3315*m**3/2 + 11392597*m**2/4 + 334294545*m + 10169310649 = 0. Calculate m.
-3253, -62
Factor 4*v**2 + 13747494*v - 6873748.
2*(v + 3436874)*(2*v - 1)
Suppose -7*q**3/4 + 10167*q**2 + 215145*q/4 + 29075/2 = 0. Calculate q.
-5, -2/7, 5815
Factor -2*u**2/7 + 56702*u/7 - 8404196/7.
-2*(u - 28202)*(u - 149)/7
What is u in u**5 + 47062*u**4 - 3*u**3 - 141188*u**2 - 94124*u = 0?
-47062, -1, 0, 2
Find i such that i**5/3 + 31*i**4 + 1954*i**3/3 + 1920*i**2 - 32384*i/3 + 8192 = 0.
-64, -24, -8, 1, 2
Determine d so that -d**4/4 + 1925*d**3/4 + 4802637*d**2/4 + 2100373191*d/4 = 0.
-777, 0, 3479
Determine h, given that -3*h**2/5 - 727311*h/5 + 1454634/5 = 0.
-242439, 2
Find o such that o**4/2 - 33*o**3/2 - 277*o**2 - 996*o - 736 = 0.
-8, -4, -1, 46
Determine r, given that 2*r**2/11 + 1235989332*r/11 + 190958703602225778/11 = 0.
-308997333
Suppose 7*k**3/2 + 70993*k**2/2 - 1280583*k/2 - 4480497/2 = 0. Calculate k.
-71119/7, -3, 21
Find y such that 2*y**5 - 9714*y**4 - 1943