32*h/7 = 0.
-12482, -1, 0, 13/4
Determine t so that -3*t**3 + 233073*t**2 - 4526568981*t - 13581804681 = 0.
-3, 38847
Let -5*k**2 - 24858620*k - 30897549415220 = 0. What is k?
-2485862
Let -2*d**2/7 - 967445804*d/7 - 116993922959650802/7 = 0. Calculate d.
-241861451
Find d such that 2*d**2/9 - 34904*d/9 + 48787490/3 = 0.
7005, 10447
Factor 2*x**2/3 - 648026*x - 15552752/3.
2*(x - 972047)*(x + 8)/3
Suppose t**2 - 9262778*t + 21449764069321 = 0. Calculate t.
4631389
Factor 2*s**3/11 - 7694*s**2/11 + 9331062*s/11 - 3424398570/11.
2*(s - 1581)**2*(s - 685)/11
Find h such that 4372*h**3 + 69872*h**2 - 75604*h + 1360 = 0.
-17, 20/1093, 1
Solve 2*v**5/3 + 5810*v**4/3 + 5746*v**3/3 - 179906*v**2/3 + 137428*v - 81312 = 0 for v.
-2904, -7, 1, 2, 3
Factor 2*i**3 - 838*i**2 + 81376*i + 339040.
2*(i - 260)*(i - 163)*(i + 4)
Find m such that 3*m**3 - 745074*m**2 + 46259781939*m + 185051049132 = 0.
-4, 124181
Factor -25*p**2 + 170220*p + 3106285.
-5*(p - 6827)*(5*p + 91)
Suppose 2*c**2/7 - 393148992*c/7 + 19320766238827008/7 = 0. What is c?
98287248
Factor 3*k**3/7 - 17544*k**2/7 + 3044253*k/7.
3*k*(k - 5669)*(k - 179)/7
Determine n so that -84*n**4 - 225304*n**3 - 39605844*n**2 + 32188096*n - 3789360 = 0.
-2493, -190, 1/7, 2/3
What is r in r**4 + 640*r**3 - 645*r**2 - 2560*r + 2564 = 0?
-641, -2, 1, 2
Determine d, given that -44*d**5 + 10444*d**4 - 584460*d**3 + 5257732*d**2 - 13827320*d + 4360800 = 0.
4/11, 5, 69, 158
Factor 2*w**2/7 - 960*w/7 - 2196050/7.
2*(w - 1315)*(w + 835)/7
Let 5*w**2 - 1849515*w - 3699050 = 0. What is w?
-2, 369905
Let 69*n**4 + 4053054*n**3/7 + 25986339*n**2/7 + 10263348*n/7 + 905580/7 = 0. Calculate n.
-8385, -6, -2/7, -3/23
Determine u, given that -u**2 - 169845*u + 679396 = 0.
-169849, 4
Factor 2*v**3/15 + 15862*v**2/15 + 130100*v.
2*v*(v + 125)*(v + 7806)/15
Solve 4*y**2/3 + 16374296*y/3 = 0.
-4093574, 0
Suppose 2*i**2 - 24297354*i + 24297352 = 0. Calculate i.
1, 12148676
Factor d**2/8 + 397289*d/8 + 1986245.
(d + 40)*(d + 397249)/8
Factor 3*f**2/8 - 294723*f/8 + 12220671/4.
3*(f - 98158)*(f - 83)/8
Factor 5*n**5 + 2225*n**4 + 105560*n**3 + 1328340*n**2.
5*n**2*(n + 26)**2*(n + 393)
Determine d so that -2*d**2/9 + 27230*d/9 + 166620652/9 = 0.
-4579, 18194
Factor -2*t**2/5 - 6486204*t - 26294276456010.
-2*(t + 8107755)**2/5
Let 2*w**3 + 756936*w**2 + 36328504*w + 69629280 = 0. Calculate w.
-378420, -46, -2
What is a in a**2/5 + 14439194*a + 260612904212045 = 0?
-36097985
Find x, given that 2*x**4/13 + 62526*x**3/13 - 5896298*x**2/13 - 37065774*x/13 - 56442600/13 = 0.
-31357, -3, 100
What is p in -1325*p**2 + 24786773*p + 37414 = 0?
-2/1325, 18707
Suppose 3*k**3 + 639*k**2 - 129303*k - 393579 = 0. What is k?
-339, -3, 129
Factor -4*a**2 - 3992808*a - 996407232804.
-4*(a + 499101)**2
Let 2*r**3/13 - 33954690*r**2/13 + 5223798*r - 33954686/13 = 0. Calculate r.
1, 16977343
Suppose -2*t**3/3 - 2938*t**2 - 598780*t/3 - 196656 = 0. Calculate t.
-4338, -68, -1
Let -4*r**3 + 152512*r**2 - 17651024*r + 511489472 = 0. What is r?
58, 38012
Determine l so that 2*l**3 - 549966*l**2 + 1099926*l - 549962 = 0.
1, 274981
Factor -5*h**3 - 845190*h**2 - 655288005*h - 127306357300.
-5*(h + 389)**2*(h + 168260)
Factor -3*d**2/7 + 569517*d/7 + 3417210/7.
-3*(d - 189845)*(d + 6)/7
Find j such that j**3/3 + 27557*j**2 + 1046805*j + 29830513/3 = 0.
-82633, -19
Factor 2*y**2/5 - 1117826*y/5 + 1117824/5.
2*(y - 558912)*(y - 1)/5
Suppose u**3 + 460680*u**2 - 49*u - 22573320 = 0. Calculate u.
-460680, -7, 7
Determine m so that -605284*m**5 + 19384648*m**4 + 107264*m**3 - 19381448*m**2 + 498020*m - 3200 = 0.
-1, 5/389, 1, 32
Solve -6*n**4 - 140674*n**3 + 1172616*n**2 - 1970216*n - 1876320 = 0.
-23454, -2/3, 4, 5
Suppose g**2/5 - 32162*g - 160815 = 0. What is g?
-5, 160815
What is n in 3*n**2 + 119821470*n + 119821467 = 0?
-39940489, -1
Determine s, given that 548*s**4 - 101382*s**3 - 1068230*s**2 + 3900*s = 0.
-10, 0, 1/274, 195
Factor -w**4/5 - 2936*w**3/5 - 559674*w**2 - 788711056*w/5 + 73658972971/5.
-(w - 73)*(w + 1003)**3/5
Solve 60*v**3 - 1424768*v**2 + 22970768*v - 3037440 = 0 for v.
2/15, 16, 23730
What is y in -735*y**5 - 125804*y**4 + 148361*y**3 - 3234*y**2 - 22724*y + 4136 = 0?
-517/3, -2/5, 2/7, 1
Solve l**4 - 160475*l**3 + 6434444200*l**2 + 289875042000*l = 0 for l.
-45, 0, 80260
Factor i**3/5 + 70576*i**2/5 + 4512703*i/5 - 916656.
(i - 1)*(i + 65)*(i + 70512)/5
Suppose n**2/6 - 88957*n/6 - 44479/3 = 0. Calculate n.
-1, 88958
Determine o, given that 338*o**5 - 338052*o**4 - 7227608*o**3 + 34384932*o**2 - 37215450*o = 0.
-25, 0, 27/13, 1021
Suppose 20*w**4 - 2684628*w**3 + 27918548*w**2 - 77848380*w + 26844200 = 0. What is w?
2/5, 5, 134221
Solve -4*x**2 - 2265968*x + 271973760 = 0 for x.
-566612, 120
Solve 27*z**5 + 521823*z**4 - 8992698*z**3 + 43753920*z**2 - 42711168*z + 7428096 = 0 for z.
-19344, 2/9, 1, 8
Find z such that -46044*z**5/5 - 821142*z**4/5 - 856504*z**3 - 1031832*z**2 + 979584*z/5 + 512/5 = 0.
-8, -2, -2/3837, 1/6
Factor -v**4/6 + 105588*v**3 - 16722288297*v**2 - 301026847716*v - 2709318605283/2.
-(v - 316773)**2*(v + 9)**2/6
Factor 2*h**2 - 277310*h - 4714848.
2*(h - 138672)*(h + 17)
Solve 5*p**3/2 + 3295*p**2/2 + 42725*p + 41080 = 0.
-632, -26, -1
Solve y**3/5 - 1651*y**2/5 - 18462*y/5 + 59832 = 0 for y.
-20, 9, 1662
Factor -5*n**2/2 - 325824495*n - 21232320308401005/2.
-5*(n + 65164899)**2/2
What is n in 4*n**3 - 55064*n**2 + 1154732*n - 2089240 = 0?
2, 19, 13745
Find v such that 28*v**5 - 3149896*v**4 - 81011316*v**3 - 509050880*v**2 + 152129744*v = 0.
-13, 0, 2/7, 112522
Solve -h**4/4 - 237*h**3/4 + 3267*h**2 + 1103220*h + 9622800 = 0.
-180, -9, 132
Factor -3*x**2/4 + 1210395*x/4 - 13313619/2.
-3*(x - 403443)*(x - 22)/4
Let -5*f**3 + 48110*f**2 + 1882005*f + 18259290 = 0. Calculate f.
-21, -18, 9661
Factor 6*p**3 - 219*p**2 - 25662*p + 78795.
3*(p - 85)*(p - 3)*(2*p + 103)
What is o in 3*o**3/8 + 5781*o**2/4 + 11123559*o/8 = 0?
-2001, -1853, 0
Solve 22*k**4 + 1212*k**3 - 312522*k**2 - 628592*k - 314880 = 0.
-1640/11, -1, 96
Factor q**3 + 962*q**2 + 23399*q - 24362.
(q - 1)*(q + 26)*(q + 937)
Find n, given that -2*n**3 - 833022*n**2 + 48322004*n = 0.
-416569, 0, 58
Determine s so that s**5 - 4*s**4 - 419*s**3 + 2286*s**2 + 44280*s - 302400 = 0.
-15, 8, 12, 14
Factor -3*o**4/4 - 34959*o**3/4 - 418212*o**2 - 5013360*o.
-3*o*(o + 24)**2*(o + 11605)/4
Factor -w**2 - 37646*w - 5138733.
-(w + 137)*(w + 37509)
Solve -2*o**5/3 - 1244*o**4/3 + 13952*o**3 = 0 for o.
-654, 0, 32
Find m such that -4*m**5/9 + 2296*m**4/9 + 25796*m**3/9 - 10888*m**2/3 - 6240*m = 0.
-12, -1, 0, 2, 585
Solve -x**3/3 + 249011*x**2/3 + 1245074*x/3 + 498032 = 0.
-3, -2, 249016
Find r, given that 2*r**4/7 + 115848*r**3 + 82200527624*r**2/7 - 46973120256*r + 328815085568/7 = 0.
-202736, 2
Find k, given that -9520628*k**2/15 - 45699014*k/3 + 16/5 = 0.
-24, 1/4760314
Determine n, given that -2*n**3/17 - 1095416*n**2/17 - 1095414*n/17 = 0.
-547707, -1, 0
Suppose 10*a**5 + 14155*a**4 + 4919520*a**3 - 63638820*a**2 + 30587760*a = 0. What is a?
-714, 0, 1/2, 12
Find j such that 2*j**3 - 372410*j**2 + 2606772*j = 0.
0, 7, 186198
Solve 2*r**3/21 - 17974*r**2/7 - 30979104*r/7 - 5549949824/3 = 0 for r.
-824, 28609
Find j such that 5*j**5 - 86325*j**4 - 8669510*j**3 - 225546850*j**2 - 425430495*j - 208466825 = 0.
-49, -1, 17365
Solve -k**5/5 + 151*k**4/5 + 202467*k**3/5 + 606329*k**2/5 + 404014*k/5 = 0.
-379, -2, -1, 0, 533
Determine k, given that k**3/5 + 3018*k**2/5 + 83772*k/5 + 31096 = 0.
-2990, -26, -2
Factor 5*m**2 - 14618245*m - 14618250.
5*(m - 2923650)*(m + 1)
Solve t**3/9 - 2992*t**2/9 - 202525*t/3 - 133686 = 0.
-189, -2, 3183
Find r such that 3*r**3 - 29466*r**2 + 22997787*r + 23027256 = 0.
-1, 856, 8967
Factor 4*z**3 - 63124560*z**2 - 126249132*z - 63124568.
4*(z - 15781142)*(z + 1)**2
Factor c**2/4 - 166732*c - 1000401.
(c - 666934)*(c + 6)/4
Factor w**2/2 - 241855*w/2 - 725583.
(w - 241861)*(w + 6)/2
Determine k, given that k**2 + 251784*k - 1007152 = 0.
-251788, 4
Let 3*a**5 - 525*a**4 + 24669*a**3 - 186531*a**2 - 449184*a - 237456 = 0. What is a?
-1, 12, 68, 97
Let 5*u**2 + 3054720*u - 18328500 = 0. Calculate u.
-610950, 6
Factor -z**3 - 424787*z**2 + 424790*z + 849576.
-(z - 2)*(z + 1)*(z + 424788)
Solve 2*p**3/15 - 119922862*p**2/15 + 599228847940816