1)
Let -v**5/8 - 304*v**4 + 255867*v**3/8 - 3295467*v**2/4 = 0. Calculate v.
-2534, 0, 51
Solve -2*r**3 + 33359*r**2/5 + 2179336*r/5 + 43520 = 0 for r.
-64, -1/10, 3400
Suppose -5*a**5 - 10330*a**4 + 2151040*a**3 - 120241870*a**2 + 1297661365*a - 3744668200 = 0. Calculate a.
-2261, 5, 8, 91
Solve 2*k**3 - 6260914*k**2 = 0.
0, 3130457
Determine j so that -3*j**2/7 - 59754*j - 17144355/7 = 0.
-139385, -41
Let q**3/3 - 7093*q**2/6 + 591*q = 0. Calculate q.
0, 1/2, 3546
Factor s**2/8 - 2423*s/8 - 103999/4.
(s - 2506)*(s + 83)/8
What is o in o**3 + 21653467*o**2 + 117218060839360*o - 1054964301485796 = 0?
-10826738, 9
Factor -x**3 - 1775*x**2 + 53974*x - 317680.
-(x - 22)*(x - 8)*(x + 1805)
Determine x so that -5*x**2 + 1334635*x - 20018400 = 0.
15, 266912
Suppose 19752*j**3 + 6992193*j**2/2 - 7034367*j/2 + 1335 = 0. Calculate j.
-178, 5/13168, 1
Find r, given that 5*r**4 - 33000*r**3 + 40626000*r**2 - 14018560000*r = 0.
0, 740, 5120
Factor 2*q**2 + 867773764*q + 94128913185840962.
2*(q + 216943441)**2
Factor -p**2/3 - 297534928*p/3 - 22131758344991296/3.
-(p + 148767464)**2/3
Solve 5*x**2 + 54885*x + 7960050 = 0.
-10830, -147
Determine c so that -c**5/2 + 25*c**4/2 + 1928*c**3 - 35354*c**2 - 171336*c = 0.
-59, -4, 0, 22, 66
Suppose -2*p**5/5 + 108*p**4/5 + 1512*p**3/5 - 13132*p**2/5 - 116358*p/5 + 418176/5 = 0. What is p?
-11, 3, 9, 64
Suppose 5*d**2 + 2909750*d - 17458680 = 0. Calculate d.
-581956, 6
Factor -172032700500*q**3 + 172034555400*q**2 - 1854905*q + 5.
-5*(q - 1)*(185490*q - 1)**2
Determine n, given that 7174*n**2 - 11975*n - 4746 = 0.
-2373/7174, 2
Let -5*d**3 - 470*d**2 + 8835*d + 1009800 = 0. Calculate d.
-88, -51, 45
Solve -2*b**2/3 - 11286436*b/3 - 15922954697762/3 = 0.
-2821609
Factor 2*b**3 + 2561500*b**2 + 820162842744*b + 1640315439504.
2*(b + 2)*(b + 640374)**2
Find v, given that v**2 + 1075061*v - 3225192 = 0.
-1075064, 3
Suppose -t**3 + 23511*t**2 - 305510*t + 845928 = 0. Calculate t.
4, 9, 23498
Factor -u**2 + 3623583*u - 36235730.
-(u - 3623573)*(u - 10)
Factor f**2 - 490379*f + 980754.
(f - 490377)*(f - 2)
Find h, given that -h**5/2 - 5143*h**4/2 - 3279149*h**3 + 69954106*h**2 - 60103796*h - 133334480 = 0.
-2582, -1, 2, 20
Solve 3*z**2 - 17052990*z + 24233705661675 = 0 for z.
2842165
Solve 26*t**4/9 - 7998196*t**3/9 + 91126956208*t**2 - 28032705590946860*t/9 - 2156366821452842/9 = 0 for t.
-1/13, 102541
Find w such that -4*w**4 - 140712*w**3 + 2815440*w**2 - 14079200*w = 0.
-35198, 0, 10
Determine r, given that -44*r**4/3 - 25526*r**3/3 - 26548*r**2 - 3462*r = 0.
-577, -3, -3/22, 0
Suppose 5*k**3 + 43075*k**2 - 4710965*k - 4754035 = 0. Calculate k.
-8723, -1, 109
Suppose -2*n**3 - 152664*n**2 + 458006*n - 305340 = 0. What is n?
-76335, 1, 2
Solve 2*w**2 - 117416100*w + 1723317567401250 = 0 for w.
29354025
Factor -4*v**2 - 304785688*v - 5805894725602084.
-4*(v + 38098211)**2
Find q such that -2*q**2 - 24778652*q - 76747699367138 = 0.
-6194663
Find u such that u**4 + 2985483*u**3 + 5970961*u**2 - 2985483*u - 5970962 = 0.
-2985481, -2, -1, 1
What is k in 5*k**3 - 1785*k**2 + 161170*k - 3612840 = 0?
34, 92, 231
Solve -c**2 - 1148864*c + 4595472 = 0.
-1148868, 4
Let -2*q**4/5 - 2232*q**3/5 - 5382*q**2/5 + 1442448*q/5 = 0. What is q?
-1113, -27, 0, 24
Factor w**3/2 - 1612195*w**2 + 1299591195584*w - 7797489134592.
(w - 1612192)**2*(w - 6)/2
Suppose 16524*p**4 - 369517680*p**3 + 178718208*p**2 - 24687680*p + 715584 = 0. What is p?
2/51, 2/9, 22362
Let y**2/3 - 189064*y/3 - 189065/3 = 0. What is y?
-1, 189065
Let -29*s**3 - 86213*s**2/2 - 361354*s + 25126 = 0. What is s?
-1478, -17/2, 2/29
Suppose 2*f**5/3 + 19712*f**4/3 + 393716*f**3/3 + 905176*f**2 + 2596974*f + 2655720 = 0. Calculate f.
-9836, -9, -5, -3
Factor 5*r**2 + 260*r - 1974825.
5*(r - 603)*(r + 655)
Factor 3*i**2/4 + 351441*i/4 + 1054269/2.
3*(i + 6)*(i + 117141)/4
Determine j so that -2*j**2 + 26918*j - 26036180 = 0.
1049, 12410
Factor 4*t**3 + 1944860*t**2 - 4*t - 1944860.
4*(t - 1)*(t + 1)*(t + 486215)
Determine g so that 75742209*g**5/4 + 11134087317*g**4/4 - 2558681*g**3/4 + 147*g**2/4 = 0.
-147, 0, 1/8703
Solve 4*t**2 + 43792864*t + 119863433582656 = 0 for t.
-5474108
Suppose -11*t**3/8 - 281827*t**2/8 - 2015341*t/2 + 371084 = 0. Calculate t.
-25592, -29, 4/11
Determine b, given that 3*b**4 + 606*b**3 + 28797*b**2 - 163326*b - 191520 = 0.
-112, -95, -1, 6
Let 4*t**3 - 4882464*t**2 - 48824956*t - 102532584 = 0. Calculate t.
-7, -3, 1220626
Let -2*w**2 + 72474592*w + 72474594 = 0. Calculate w.
-1, 36237297
Solve -2*y**2 - 19166514*y - 19166512 = 0 for y.
-9583256, -1
Solve -2*m**5/9 - 7634*m**4/9 - 797848*m**3 + 199326464*m**2/9 - 148962688*m/9 - 384184736/3 = 0 for m.
-1922, -2, 3, 26
Determine h, given that 6*h**4/13 + 2690*h**3/13 - 142964*h**2 - 850731840*h/13 + 43690752 = 0.
-504, 2/3, 559
Factor 2*f**3/3 - 33532*f**2/3 + 23867008*f/3 - 4341693440/3.
2*(f - 16030)*(f - 368)**2/3
Find s, given that -2*s**2/7 + 3896836*s/7 = 0.
0, 1948418
Factor l**3/11 + 1129252*l**2/11 + 318803649125*l/11 + 637602781250/11.
(l + 2)*(l + 564625)**2/11
Factor -w**4 + 46606*w**3 - 725309160*w**2 + 3788806500256*w - 305830806073984.
-(w - 15508)**3*(w - 82)
Determine u so that -3*u**4 - 3143298*u**3 - 22002924*u**2 + 15716610*u + 235745775 = 0.
-1047759, -5, 3
Solve 2*r**5/11 - 2018*r**4/11 + 758988*r**3/11 - 126284408*r**2/11 + 7942139888*r/11 - 22710189696/11 = 0.
3, 184, 274
Determine c, given that -6*c**4/7 - 1914*c**3/7 + 7512*c**2 + 156408*c = 0.
-343, -14, 0, 38
Solve -3*w**3/4 + 615639*w**2/4 - 7916423922*w + 2087057984355 = 0.
265, 102474
Find i, given that 2*i**5/15 - 2786*i**4/15 + 24748*i**3/5 - 657088*i**2/15 + 1923328*i/15 = 0.
0, 8, 11, 1366
Determine y, given that 6*y**5/5 - 117724*y**4/5 + 579139458*y**3/5 - 16504183132*y**2/5 - 5951892864*y/5 + 11131547456/5 = 0.
-1, 2/3, 29, 9796
Factor 5*b**4 + 10*b**3 - 495*b**2.
5*b**2*(b - 9)*(b + 11)
Let 8*x**2 + 3365484*x - 5048244 = 0. Calculate x.
-420687, 3/2
Solve -573049*g**4/8 - 46527491*g**3/4 - 3795604933*g**2/8 - 363430719*g/2 - 34963569/2 = 0 for g.
-81, -146/757
Let -2*k**4/9 - 38984*k**3/9 - 62310766*k**2/3 + 29707384564*k/9 - 58666728032/9 = 0. Calculate k.
-9823, 2, 152
Determine l, given that 2*l**2/17 - 4220*l/17 - 1693950/17 = 0.
-345, 2455
Factor 12*k**3 - 831*k**2 + 9444*k + 105300.
3*(k - 50)*(k - 26)*(4*k + 27)
Solve 2*o**5 + 926*o**4 + 40658*o**3 + 35130*o**2 - 195948*o + 119232 = 0.
-414, -48, -3, 1
Determine n so that -2*n**5 - 5678*n**4 + 34158*n**3 + 51182*n**2 - 79660*n = 0.
-2845, -2, 0, 1, 7
Let -s**5 + 533561*s**4 - 8003215*s**3 + 13338635*s**2 + 8003216*s - 13872196 = 0. What is s?
-1, 1, 2, 13, 533546
Find w such that w**4/4 - 4394*w**3 - 87897*w**2/4 - 35161*w - 17581 = 0.
-2, -1, 17581
Factor w**3/4 - 350994*w**2 + 2807949*w/4 - 701987/2.
(w - 1403974)*(w - 1)**2/4
Factor a**3 + 3284685*a**2 + 19708074*a.
a*(a + 6)*(a + 3284679)
Solve -2*w**4 - 730*w**3 - 70408*w**2 - 1744280*w - 7051200 = 0.
-226, -104, -30, -5
Find g such that 2*g**4/19 - 236*g**3 - 131238*g**2/19 - 1088856*g/19 - 2779704/19 = 0.
-17, -6, 2271
Factor -3*m**4 - 438852*m**3 + 3949830*m**2 - 11849652*m + 11849733.
-3*(m - 3)**3*(m + 146293)
Factor -n**2/3 - 3776889*n + 113306770/3.
-(n - 10)*(n + 11330677)/3
Determine h, given that h**4 - 67536*h**3 - 337713*h**2 + 540280*h + 3241968 = 0.
-4, 3, 67541
Determine p so that 2*p**2/7 - 3350*p/7 - 2469732/7 = 0.
-554, 2229
Factor -195*v**3 + 1959396*v**2 - 4922274048*v + 908660736.
-3*(v - 5024)**2*(65*v - 12)
Determine b so that -118*b**2 - 70526*b + 235592 = 0.
-601, 196/59
Solve -15*h**5/4 - 1013*h**4 - 86685*h**3/4 - 60449*h**2 - 44727*h - 4940 = 0 for h.
-247, -20, -2, -1, -2/15
Suppose -2*r**4 - 13666*r**3 - 1148406*r**2 - 8409086*r - 7274344 = 0. Calculate r.
-6748, -77, -7, -1
Solve -2*f**4 + 760*f**3 - 90150*f**2 + 3230000*f + 18500000 = 0.
-5, 100, 185
Solve -27*t**3/4 + 2948019*t**2/4 - 80470354965*t/4 - 8941186947/4 = 0 for t.
-1/9, 54593
Solve -w**3/3 + 10541*w**2 + w/3 - 10541 = 0 for w.
-1, 1, 31623
Suppose -640*z**5 + 160623440*z**4 - 983794960*z**3 + 100386705*z**2 + 124229250*z - 22587120 = 0. Calculate z.
-3/8, 1/4, 6, 250968
Find u, given that -5*u**4/4 + 484695*u**3/2 - 13570535*u**2/4 + 5331195*u/2 + 6300580 = 0.
-1, 2, 13, 193864
Factor 2*l**3 + 1454