
Factor 2*z**4/19 - 25060*z**3/19 + 78475386*z**2/19 + 157025960*z/19 + 78525512/19.
2*(z - 6266)**2*(z + 1)**2/19
Factor 21434787*k**2/8 + 2397681*k/2 + 268203/2.
3*(2673*k + 598)**2/8
Suppose -55*x**2 - 3794*x/3 + 23/3 = 0. What is x?
-23, 1/165
Solve 710432*m**3/5 - 425544*m**2 - 21447*m/10 - 27/10 = 0.
-3/1192, 3
Factor -3*q**2 + 606*q - 19440.
-3*(q - 162)*(q - 40)
Let -2*y**3 - 22610*y**2 + 18*y + 203490 = 0. Calculate y.
-11305, -3, 3
Factor -3*z**3/5 - 2688*z**2/5 - 16047*z/5 - 4806.
-3*(z + 3)**2*(z + 890)/5
Let -y**3/3 + 289*y**2/3 - 9280*y + 297984 = 0. Calculate y.
96, 97
Factor 2*y**2/3 - 384224*y/3 + 18453510272/3.
2*(y - 96056)**2/3
Factor -3*t**2 - 1081104*t - 97398821568.
-3*(t + 180184)**2
Let v**3/3 + 242*v**2/3 + 2580*v + 22248 = 0. What is v?
-206, -18
Solve 35*z**3 + 20590*z**2 + 46900*z + 11720 = 0 for z.
-586, -2, -2/7
Factor -2*r**2/3 + 1474*r/3 + 26792.
-2*(r - 788)*(r + 51)/3
Let 6*s**2/11 - 360*s/11 + 456 = 0. Calculate s.
22, 38
Factor 133*n**3 - 3587*n**2 - 3832*n - 112.
(n - 28)*(n + 1)*(133*n + 4)
Let -27*v**2/7 - 8604*v/7 - 685452/7 = 0. What is v?
-478/3
Solve -51*u**5/4 + 220173*u**4/4 - 316846215*u**3/4 + 152005416447*u**2/4 - 8939302557*u/2 = 0.
0, 2/17, 1439
Solve 20*f**4 - 54*f**3 - 218*f**2 + 420*f + 144 = 0.
-3, -3/10, 2, 4
Factor l**5/4 - 11645*l**4/2 + 33907328*l**3 - 67791368*l**2.
l**2*(l - 11644)**2*(l - 2)/4
Solve 54*q**2/5 + 3669762*q - 4077516/5 = 0.
-339793, 2/9
Factor -g**4 + 3812*g**3 - 3625204*g**2 - 14546592*g - 14561856.
-(g - 1908)**2*(g + 2)**2
Find u, given that -3*u**4/5 + 138*u**3/5 + 2196*u**2/5 + 6342*u/5 - 8673/5 = 0.
-7, 1, 59
Solve z**4/8 - 971*z**3/4 - 7819*z**2/2 - 12721*z - 11748 = 0.
-12, -2, 1958
Determine m, given that -4*m**5/9 + 52*m**4/9 + 392*m**3/3 - 1808*m**2 + 5472*m = 0.
-18, 0, 6, 19
Solve -2*d**4 + 178*d**3 - 172*d**2 - 352*d = 0 for d.
-1, 0, 2, 88
Factor -3*g**2 + 1896*g + 3804.
-3*(g - 634)*(g + 2)
Suppose -92*n**2/9 - 424300*n/9 + 18448/9 = 0. Calculate n.
-4612, 1/23
Suppose i**2 - 1070*i + 15825 = 0. What is i?
15, 1055
Factor -2*d**2 - 144*d + 296.
-2*(d - 2)*(d + 74)
Factor -n**4 + 119*n**3 - 4317*n**2 + 42381*n + 46818.
-(n - 51)**2*(n - 18)*(n + 1)
Factor -p**3/3 - 85*p**2/3 + 2776*p/3 + 2860/3.
-(p - 26)*(p + 1)*(p + 110)/3
Determine f so that 5*f**3/7 - 7017*f**2/7 - 602*f + 2808/7 = 0.
-1, 2/5, 1404
Factor k**4/4 + 5*k**3 - 47*k**2/4 - 33*k/2.
k*(k - 3)*(k + 1)*(k + 22)/4
Solve -39*b**4 + 3282*b**3 - 53700*b**2 + 8184*b = 0 for b.
0, 2/13, 22, 62
Solve p**2/4 + 22065*p/4 - 11033/2 = 0 for p.
-22066, 1
Factor -5*g**4 - 90*g**3 - 205*g**2 + 300*g.
-5*g*(g - 1)*(g + 4)*(g + 15)
Factor r**2/2 + 52184*r + 1361584928.
(r + 52184)**2/2
Let m**4 + 368*m**3 + 50634*m**2 + 3086152*m + 70275821 = 0. What is m?
-97, -77
Solve g**2 + 249*g + 2160 = 0.
-240, -9
Let -7*b**5/3 + 1678*b**4/3 - 101986*b**3/3 + 170644*b**2/3 - 42007*b/3 - 28322/3 = 0. What is b?
-2/7, 1, 119
What is b in 2*b**2/3 + 118298*b = 0?
-177447, 0
Factor 4*k**3 - 2088*k**2 + 2076*k + 4168.
4*(k - 521)*(k - 2)*(k + 1)
Factor -286*y**2/3 + 13441*y/3 + 47/3.
-(y - 47)*(286*y + 1)/3
Find z such that 168507*z**3 - 466416*z**2 + 283647*z - 49686 = 0.
91/237, 2
Determine t, given that t**4/9 - 397*t**3/3 + 3519*t**2 - 31509*t + 94284 = 0.
9, 1164
Solve -85*t**3 + 376750*t**2 - 417538720*t + 147319680 = 0 for t.
6/17, 2216
Factor -48*o**4/7 - 332*o**3/7 - 708*o**2/7 - 612*o/7 - 188/7.
-4*(o + 1)**3*(12*o + 47)/7
Factor -3*r**3 + 108*r**2 + 13995*r + 13884.
-3*(r - 89)*(r + 1)*(r + 52)
Solve 135*l**5/4 - 21*l**4/4 - 19445*l**3 + 3025*l**2 + 2880*l - 576 = 0.
-24, -2/5, 2/9, 1/3, 24
Solve -48*p**2 - 4468*p - 43624 = 0.
-82, -133/12
Find r, given that 4*r**3 - 12412*r**2 = 0.
0, 3103
Find o, given that 2*o**2/5 - 802*o/5 + 2388/5 = 0.
3, 398
Suppose -161840*z**4 - 3890280*z**3 - 18390755*z**2 + 61647600*z - 16020500 = 0. Calculate z.
-895/68, 2/7, 2
Find i such that 80*i**3 - 19400*i**2 + 86085*i - 96390 = 0.
9/4, 238
Suppose 15*f**5 - 4685*f**4 - 17505*f**3 + 39385*f**2 + 36390*f - 15800 = 0. Calculate f.
-5, -1, 1/3, 2, 316
Find b, given that 2*b**3/17 - 320*b**2/17 + 12162*b/17 + 39420/17 = 0.
-3, 73, 90
Let 132*r**2 + 247744*r + 165104 = 0. Calculate r.
-20638/11, -2/3
Find m, given that -m**4/7 - 243*m**3/7 - 961*m**2/7 - 171*m - 478/7 = 0.
-239, -2, -1
Solve 2*z**2/3 + 244*z + 66466/3 = 0 for z.
-199, -167
Suppose -4*r**4 + 6208*r**3 - 2427256*r**2 + 14396352*r - 21511044 = 0. Calculate r.
3, 773
Factor 4*p**3/5 - 1416*p**2/5 + 72036*p/5 - 995744/5.
4*(p - 296)*(p - 29)**2/5
Factor 2*v**3/15 - 50786*v**2/5 + 193436256*v + 580339240/3.
2*(v - 38090)**2*(v + 1)/15
Factor -4*n**3 + 1728*n**2 - 1724*n.
-4*n*(n - 431)*(n - 1)
Let -r**3/2 + 617*r**2/2 + 310*r - 618 = 0. Calculate r.
-2, 1, 618
Suppose s**3/8 - 9*s**2/2 - 271*s/8 + 3003/4 = 0. Calculate s.
-14, 11, 39
Factor -5*d**3/2 - 153335*d**2/2 + 920280*d - 2761110.
-5*(d - 6)**2*(d + 30679)/2
Factor 5*o**3 + 15740*o**2 + 12527825*o + 220430250.
5*(o + 18)*(o + 1565)**2
Solve -5*d**2 - 945*d - 41890 = 0 for d.
-118, -71
Factor 37977*o**2/7 - 113949*o/7 + 54/7.
3*(o - 3)*(12659*o - 6)/7
Solve -5*x**3 + 154115*x**2 - 462310*x + 308200 = 0 for x.
1, 2, 30820
Factor -9*n**2 + 7136*n - 20540.
-(n - 790)*(9*n - 26)
Factor -3*g**2 - 6415320*g - 3429694225200.
-3*(g + 1069220)**2
Solve -4*b**2 - 38256*b + 267988 = 0.
-9571, 7
Factor t**2/4 - 45891*t/2.
t*(t - 91782)/4
Find h, given that 2*h**2/21 + 5536*h/21 + 71630/21 = 0.
-2755, -13
Determine n so that 704*n**3/5 - 6168*n**2/5 + 2214*n/5 = 0.
0, 3/8, 369/44
Factor -2*y**2 + 45160*y - 254928200.
-2*(y - 11290)**2
Solve -25*o**5/2 + 1995*o**4/8 + 24833*o**3/8 + 9537*o**2/4 - 746*o - 288 = 0.
-8, -1, -1/4, 2/5, 144/5
Suppose -95*p**2/2 + 167680*p - 17650 = 0. Calculate p.
2/19, 3530
Suppose 4*r**3 - 6888*r**2 + 27504*r - 27488 = 0. Calculate r.
2, 1718
Let 4*c**4/3 + 3760*c**3/3 + 347200*c**2 + 23520000*c = 0. What is c?
-420, -100, 0
Factor 5*a**2 - 1730*a - 14160.
5*(a - 354)*(a + 8)
Factor 2*c**3/5 - 60*c**2 - 330*c + 3100.
2*(c - 155)*(c - 5)*(c + 10)/5
Let -5*n**5 - 392*n**4 + 251*n**3 + 1106*n**2 = 0. Calculate n.
-79, -7/5, 0, 2
Determine q so that -3*q**2 + 3135*q - 18702 = 0.
6, 1039
Factor 3*y**4 + 20247*y**3 + 60723*y**2 + 60717*y + 20238.
3*(y + 1)**3*(y + 6746)
Suppose 3*s**5/2 - 5841*s**4/2 + 2851857*s**3/2 - 8520555*s**2/2 + 4254444*s - 1417176 = 0. What is s?
1, 972
Find f, given that 2*f**4 + 12294*f**3 + 623526*f**2 + 10580290*f + 59899296 = 0.
-6096, -17
Let 5*y**4 - 640*y**3 + 13035*y**2 - 7520*y - 922880 = 0. What is y?
-7, 16, 103
What is v in -17*v**5/3 - 332*v**4/3 - 1166*v**3/3 + 4*v**2 + 861*v - 360 = 0?
-15, -3, 8/17, 1
Find c such that c**5/8 - 65*c**4/8 + 125*c**3/8 + 65*c**2/8 - 63*c/4 = 0.
-1, 0, 1, 2, 63
What is p in -3*p**4/5 + 21*p**3 - 1194*p**2/5 + 4368*p/5 = 0?
0, 8, 13, 14
Let -s**2 - 188*s - 1947 = 0. Calculate s.
-177, -11
Solve 2*b**5 - 1044*b**4 - 3152*b**3 + 1044*b**2 + 3150*b = 0.
-3, -1, 0, 1, 525
Suppose -100*m**2/3 + 736*m - 176/3 = 0. Calculate m.
2/25, 22
What is f in -26*f**4 + 437*f**3/4 + 2099*f**2/4 - 437*f/4 + 21/4 = 0?
-3, 1/13, 1/8, 7
Factor a**3 + 1878*a**2 + 534449*a - 536328.
(a - 1)*(a + 351)*(a + 1528)
Factor 4*f**2 + 134160*f - 268336.
4*(f - 2)*(f + 33542)
What is u in -3*u**5/2 + 1049*u**4 - 8640*u**3 + 1715*u**2 + 17283*u/2 - 2764 = 0?
-1, 1/3, 1, 8, 691
Suppose -2*v**3/7 - 1388*v**2/7 + 16962*v = 0. Calculate v.
-771, 0, 77
Factor 4805*b**4/3 - 65720*b**3/3 + 71290*b**2 + 74200*b/3 + 6125/3.
5*(b - 7)**2*(31*b + 5)**2/3
Suppose -4*y**4 - 72*y**3 - 308*y**2 - 192*y + 576 = 0. Calculate y.
-12, -4, -3, 1
Factor -2*a**2/17 - 3404*a/17 + 13648/17.
-2*(a - 4)*(a + 1706)/17
Suppose 2*a**5/5 - 9548*a**4/5 + 3816*a**3 + 38192*a**2/5 - 76352*a/5 = 0. What is a?
-2, 0, 2, 4772
Suppose -5*c**2 - 50*c + 4680 = 0. What is c?
-36, 26
Factor -7*v**2 - 4744171*v + 1355478.
-(v + 677739)*(7*v - 2)
Suppose h**3 - 134*h**2 + 395*h - 262 = 0. Calculate h.
1, 2, 131
Suppose c**3/5 - 2*c**2 - 61*c/5 + 14 = 0. What is c?
-5, 1, 14
What is x in -91*x**3/2 + 2563*x**2/6 - 481*x/3 + 12 = 0?
4/39, 2/7, 9
Let 3*j**2 - 909*j/4 + 675/4 = 0. Calculate j.
3/4, 75
Factor 4*p**3/7 + 200*p**2/7 - 49604*p/7 + 242520/7.
4*(p - 86)*(p - 5)*(p + 141)/7
Find l such that 2*l**5/9