5
Determine p so that 8*p**4/5 + 90*p**3 + 3706*p**2/5 - 3036*p/5 = 0.
-46, -11, 0, 3/4
Factor 3*s**2/8 + 8205*s/2 - 34850025/2.
3*(s - 3270)*(s + 14210)/8
Solve 5*v**3 - 2265685*v**2 + 256631304240*v + 7957747903680 = 0.
-31, 226584
Determine t, given that 4*t**5 + 3524*t**4 - 116144*t**3 + 661904*t**2 + 4153792*t + 4674560 = 0.
-913, -2, 16, 20
Factor -3*b**2 - 471345*b - 63106362.
-3*(b + 134)*(b + 156981)
Factor 3*b**2 - 32904*b + 230181.
3*(b - 10961)*(b - 7)
Let -3*s**5 - 52092*s**4 - 222617763*s**3 - 281002955142*s**2 - 561338265348*s - 280557875880 = 0. What is s?
-11710, -2826, -1
Suppose 2*c**2/11 + 125718*c/11 + 4648828/11 = 0. What is c?
-62822, -37
Solve -2*n**3/5 - 7782*n**2/5 + 6858728*n/5 - 27310272/5 = 0 for n.
-4632, 4, 737
Determine v so that 3*v**3 - 491835*v**2 - 3934824*v - 7869744 = 0.
-4, 163953
Let -2*l**5/7 + 10756*l**4/7 + 639658*l**3/7 + 10368868*l**2/7 + 3827200*l + 2435776 = 0. What is l?
-28, -2, -1, 5437
Factor 2*d**2 + 8066434*d - 8066436.
2*(d - 1)*(d + 4033218)
Determine b, given that -3*b**5 + 2376*b**4 - 465663*b**3 + 439614*b**2 + 4614216*b + 3706560 = 0.
-2, -1, 4, 351, 440
Let 6*m**4 + 6297*m**3/4 + 273051*m**2/2 + 3921696*m + 1451520 = 0. Calculate m.
-96, -70, -3/8
Find c such that -22*c**4/7 - 9694*c**3/7 - 1397300*c**2/7 - 9294008*c + 66465072/7 = 0.
-166, -1206/11, 1
Find t, given that 15*t**3 - 163467*t**2 + 48738861*t + 9754311 = 0.
-1/5, 307, 10591
Solve x**3/4 + 1346295*x**2/4 - 673149*x/2 - 673148 = 0 for x.
-1346296, -1, 2
Factor 2*f**2/17 + 1490306*f/17 - 1490308/17.
2*(f - 1)*(f + 745154)/17
Solve 2*o**5 + 408*o**4 - 341316*o**3 - 36214928*o**2 + 16466060226*o - 65263064328 = 0.
-357, 4, 253
What is l in l**2 - 35056*l - 1931105 = 0?
-55, 35111
Factor 4*v**2 - 64*v - 32868.
4*(v - 99)*(v + 83)
Determine y, given that 2*y**4 + 178836*y**3 - 50769640*y**2 + 101002764*y - 50411962 = 0.
-89701, 1, 281
Suppose a**2/7 + 19287*a/7 + 4100480/7 = 0. What is a?
-19072, -215
Solve -106*c**3/7 - 7236092*c**2/7 - 36314330*c/7 - 682600/7 = 0 for c.
-68260, -5, -1/53
Factor -s**2/4 + 1373*s/4 + 455259/2.
-(s - 1862)*(s + 489)/4
Determine p, given that -2*p**4/9 - 44050*p**3/3 + 528670*p**2/9 + 837010*p/3 + 1850212/9 = 0.
-66079, -2, -1, 7
Solve -t**5/5 + 91357*t**4/5 + 456808*t**3/5 + 182732*t**2/5 - 730896*t/5 = 0 for t.
-4, -2, 0, 1, 91362
Solve 4*a**3/5 - 59036472*a**2/5 + 217831564137924*a/5 = 0 for a.
0, 7379559
Factor -3*t**2/5 + 279*t/5 + 54451224.
-3*(t - 9573)*(t + 9480)/5
Solve -2*i**5/5 + 382*i**4/5 + 2466*i**3/5 - 19934*i**2/5 - 6424*i + 23640 = 0 for i.
-10, -3, 2, 5, 197
Determine b so that 140*b**4/11 + 22718*b**3/11 + 12386*b**2 - 112688*b/11 - 8736/11 = 0.
-156, -7, -1/14, 4/5
Suppose -4*b**3 - 14104*b**2 + 2971420*b - 152117312 = 0. What is b?
-3728, 101
Let -5*a**5 + 450*a**4 - 1895*a**3 - 246990*a**2 + 504640*a + 5728800 = 0. What is a?
-20, -4, 6, 31, 77
Factor 415198*h**2 + 207841*h + 121.
(2*h + 1)*(207599*h + 121)
Suppose -3*l**3 + 180462*l**2 - 2345229*l - 16238070 = 0. Calculate l.
-5, 18, 60141
What is c in c**5 + 403179*c**4 - 3225480*c**3 + 6450992*c**2 = 0?
-403187, 0, 4
Factor -3*v**5/7 - 45750*v**4/7 + 1345176*v**3 - 642190368*v**2/7 + 14577696384*v/7.
-3*v*(v - 68)**3*(v + 15454)/7
Factor -3*u**2 + 141199533*u.
-3*u*(u - 47066511)
What is k in -32*k**4 + 7988*k**3 - 456840*k**2 + 2862684*k - 2413800 = 0?
1, 6, 75, 1341/8
Solve -2*k**5 - 902*k**4 - 132036*k**3 - 5810940*k**2 + 70849350*k + 737525250 = 0 for k.
-165, -129, -7, 15
Determine x so that 35*x**3 + 709140*x**2 + 810340*x - 1215600 = 0.
-20260, -2, 6/7
Factor w**2/6 - 951620*w/3 + 452790312200/3.
(w - 951620)**2/6
What is x in 2*x**3/15 + 2407372*x**2/15 + 481474*x/3 = 0?
-1203685, -1, 0
Factor 2*i**3 + 2660*i**2 - 4289064*i - 5730312528.
2*(i - 1466)*(i + 1398)**2
Factor 4*r**2 + 25900*r - 33746976.
4*(r - 1112)*(r + 7587)
Determine j so that j**5/6 + 529*j**4/6 - 4235*j**3/6 - 279595*j**2/2 - 272901*j + 413316 = 0.
-534, -36, -3, 1, 43
What is f in -3*f**4/2 + 14547*f**3/2 - 18305559*f**2/2 + 1611627393*f/2 - 796668189 = 0?
1, 94, 2377
Find w such that 3*w**5 - 11052*w**4 + 10065231*w**3 + 214087722*w**2 - 7659812736*w - 24633570528 = 0.
-38, -3, 21, 1852
Find l such that 4*l**2/3 + 23643472*l/3 + 34938360513424/3 = 0.
-2955434
Factor -876403*l**2/3 + l.
-l*(876403*l - 3)/3
What is p in 5*p**4 + 2580*p**3 - 28945*p**2 + 21180*p + 52700 = 0?
-527, -1, 2, 10
Factor o**2 - 11227*o + 3975126.
(o - 10861)*(o - 366)
Suppose z**3/6 - 4299041*z**2/6 + 1540145410133*z/2 + 1540146843147/2 = 0. What is z?
-1, 2149521
Let -2*g**4/11 - 29416*g**3/11 - 76755432*g**2/11 + 20997140800*g - 11209229680000 = 0. Calculate g.
-8300, 946
Let -4*y**3/7 - 1500*y**2 + 27103528*y/7 - 3870432 = 0. Calculate y.
-4228, 1, 1602
Determine n, given that -2*n**4/3 + 1984*n**3/3 - 110092*n**2/3 - 1984*n/3 + 36698 = 0.
-1, 1, 59, 933
Solve 3*j**3 + 1758*j**2 + 22848*j - 672672 = 0.
-572, -28, 14
Factor 5*p**3 - 1645*p**2 - 458100*p.
5*p*(p - 509)*(p + 180)
Determine x so that 5*x**4/3 + 9165*x**3 + 12390840*x**2 - 576298800*x = 0.
-2772, 0, 45
Factor -r**2 - 376713728*r - 35478308215914496.
-(r + 188356864)**2
Determine m, given that -4*m**5 - 4076*m**4 + 175260*m**3 + 10783420*m**2 - 22076296*m + 11121696 = 0.
-1058, -36, 1, 73
Factor 823*m**2/2 + 64601*m - 1413/2.
(m + 157)*(823*m - 9)/2
Factor 3*a**3 - 149285085*a**2 + 1857169642312224*a + 1857169791597312.
3*(a - 24880848)**2*(a + 1)
Solve 34*n**2 - 1257060*n + 443664 = 0 for n.
6/17, 36972
Factor -t**2/10 - 145123*t/5 - 5514313/10.
-(t + 19)*(t + 290227)/10
Factor m**2/2 - 2325*m/2 - 279950.
(m - 2545)*(m + 220)/2
Determine u so that -u**2 - 7692*u - 8319780 = 0.
-6390, -1302
What is o in -4*o**4 + 9836*o**3 - 1892104*o**2 - 11707584*o = 0?
-6, 0, 217, 2248
Factor -2*f**2 + 11033744*f - 15217938332192.
-2*(f - 2758436)**2
Determine x, given that -x**2/3 + 642025*x/3 = 0.
0, 642025
Factor 12*a**2 + 5545576*a + 1848524.
4*(a + 462131)*(3*a + 1)
Determine y so that 4*y**4/7 - 129338*y**3/7 - 64684*y**2 + 1810952*y/7 - 776112/7 = 0.
-6, 1/2, 2, 32338
Factor m**3/2 - 34078*m**2 + 1248633405*m/2 - 1458779679675.
(m - 32715)**2*(m - 2726)/2
What is v in -2*v**5/13 + 1928*v**4 - 175374*v**3/13 + 300592*v**2/13 + 100232*v/13 - 400800/13 = 0?
-1, 2, 4, 12525
Solve -2*s**2/15 + 3132*s/5 - 307904/3 = 0 for s.
170, 4528
Solve t**2 - 221608630*t + 221608629 = 0.
1, 221608629
Let 3*n**4 + 645*n**3 + 8346*n**2 - 19296*n = 0. What is n?
-201, -16, 0, 2
Let -5*l**3 - 173212*l**2 - 69281*l + 103926 = 0. What is l?
-34642, -1, 3/5
Determine l, given that -2*l**2/7 + 508736156*l/7 - 32351559552707042/7 = 0.
127184039
Solve -j**3 + 1559*j**2 - 32298*j = 0 for j.
0, 21, 1538
Factor -2*c**5 + 25342*c**4 - 80289790*c**3 + 80264450*c**2.
-2*c**2*(c - 6335)**2*(c - 1)
Factor 3*c**3/2 + 17859*c**2/2 + 11709060*c - 4836133800.
3*(c - 327)*(c + 3140)**2/2
Factor -1267920*a**3 + 6339605*a**2 - 25*a.
-5*a*(a - 5)*(253584*a - 1)
Factor 2*m**3/19 - 1818*m**2/19 + 233454*m/19 - 8132054/19.
2*(m - 763)*(m - 73)**2/19
What is o in 4700224*o**2 - 620048*o + 20449 = 0?
143/2168
Factor 3*f**2 + 26034*f - 35793585.
3*(f - 1207)*(f + 9885)
What is d in 3*d**5/2 + 93*d**4 - 3489*d**3/2 - 52272*d**2 - 326646*d - 563760 = 0?
-72, -10, -6, -3, 29
Determine j, given that 2*j**2/3 + 1172*j/3 - 319770 = 0.
-1045, 459
Factor -25*b**2 + 947883415*b + 379153370.
-5*(b - 37915337)*(5*b + 2)
Find b such that 3*b**5/4 - 3*b**4 - 399*b**3/4 - 87*b**2 + 189*b = 0.
-9, -2, 0, 1, 14
Solve -x**4/3 - 31060*x**3/3 + 683728*x**2/3 - 2362160*x/3 + 745968 = 0 for x.
-31082, 2, 18
Find j such that -9*j**5 - 2886*j**4 - 153849*j**3 + 12026844*j**2 + 8085420*j = 0.
-207, -155, -2/3, 0, 42
Suppose 42*d**5 - 311408*d**4/5 + 117878*d**3 + 71096*d**2/5 - 11848*d/5 = 0. What is d?
-1/5, 0, 2/21, 2, 1481
Let 2*b**3/19 + 1040*b**2/19 - 2987822*b/19 + 2986780/19 = 0. What is b?
-1510, 1, 989
Suppose 3*l**4 + 116406*l**3 - 1979688*l**2 + 3144474*l + 5240565 = 0. Calculate l.
-38819, -1, 3, 15
Determine g so that -5*g**5 - 13136420*g**4 - 8628289657230*g**3 - 17256539905220*g**2 - 8628263384405*g = 0.
-1313641, -1, 0
Factor 2*o**2 + 49129558*o + 98259108.
2*(o + 2)*(o + 24564777)
Suppose -5*a**4 + 31000*a**3 - 9295135*a**2 - 9326140*a = 0. Calculate a.
-1, 0, 317, 