22)/4
Determine n so that 5*n**2 - 495380*n + 12270067220 = 0.
49538
Factor -2*p**3/9 + 160*p**2/9 + 1282*p/3 - 924.
-2*(p - 99)*(p - 2)*(p + 21)/9
Find h, given that -2*h**4/5 - 192*h**3/5 - 136*h**2 + 5088*h/5 - 5888/5 = 0.
-92, -8, 2
Factor -4*s**3/3 + 3280*s**2/3.
-4*s**2*(s - 820)/3
Let 5*v**4 - 2210*v**3 - 29335*v**2 - 109020*v - 81900 = 0. What is v?
-6, -1, 455
Solve -3*k**3/4 + 5727*k**2/2 - 34335*k/4 = 0 for k.
0, 3, 3815
Find g such that -22*g**2 + 2916*g + 82656 = 0.
-24, 1722/11
Factor -u**5/3 - 4*u**4/3 + 77*u**3/3.
-u**3*(u - 7)*(u + 11)/3
Factor -3*j**2 - 171591*j - 857880.
-3*(j + 5)*(j + 57192)
Determine y so that 2*y**3/19 + 72*y**2/19 + 198*y/19 = 0.
-33, -3, 0
What is g in -2*g**3/5 + 2166*g**2/5 - 112608*g - 12797568/5 = 0?
-21, 552
Factor 77356*q**2 - 232080*q + 36.
4*(q - 3)*(19339*q - 3)
Let -5*y**2 - 360665*y + 360670 = 0. Calculate y.
-72134, 1
Let p**2/5 + 407718*p/5 + 41558491881/5 = 0. What is p?
-203859
Let -2*y**4/5 + 558*y**3/5 - 536*y**2/5 - 5544*y/5 - 4448/5 = 0. Calculate y.
-2, -1, 4, 278
Let -35*m**5 + 12655*m**4 + 18135*m**3 + 5445*m**2 = 0. Calculate m.
-1, -3/7, 0, 363
Factor -3*z**2 + 1776*z - 10548.
-3*(z - 586)*(z - 6)
Solve 3*q**2/4 - 2273727*q/2 + 1723278156843/4 = 0.
757909
Suppose -2*z**3/3 - 18632*z**2/3 + 37270*z/3 - 6212 = 0. What is z?
-9318, 1
Factor b**2 + 1638*b - 1639.
(b - 1)*(b + 1639)
Let -2*a**2 + 496*a + 14248 = 0. What is a?
-26, 274
Factor -2*t**3/11 - 358*t**2/11 - 5550*t/11 + 1059606/11.
-2*(t - 43)*(t + 111)**2/11
Suppose -v**2/4 + 215*v/4 - 2457/2 = 0. What is v?
26, 189
Factor w**3/8 + 477*w**2/4 + 4739*w/8 - 2847/4.
(w - 1)*(w + 6)*(w + 949)/8
Determine h so that -4*h**3 - 8*h**2 + 1500*h - 9936 = 0.
-23, 9, 12
Factor b**2/3 - 14605*b/3 + 29198.
(b - 14599)*(b - 6)/3
Factor 3*d**4 + 555*d**3 + 28479*d**2 + 254997*d + 227070.
3*(d + 1)*(d + 10)*(d + 87)**2
Suppose 2*y**3/17 - 518964*y**2/17 - 3113838*y/17 - 274752 = 0. Calculate y.
-3, 259488
Determine p, given that 93*p**5/5 - 5579*p**4/5 - 17451*p**3/5 - 2381*p**2 - 126*p/5 = 0.
-2, -1, -1/93, 0, 63
Suppose 2*h**5/13 + 792*h**4/13 + 101228*h**3/13 + 4518360*h**2/13 + 65094050*h/13 = 0. Calculate h.
-163, -35, 0
Factor 4*u**4 + 3644*u**3 + 1154844*u**2 + 140649364*u + 4248212144.
4*(u + 44)*(u + 289)**3
Factor -5*q**5 + 750*q**4 - 11040*q**3 + 42880*q**2.
-5*q**2*(q - 134)*(q - 8)**2
Find n, given that n**2 + 9177*n = 0.
-9177, 0
Determine y so that y**5/2 - 70*y**4 + 7053*y**3/2 - 74003*y**2 + 517720*y = 0.
0, 14, 40, 43
Factor -56*b**3 + 6464*b**2 - 19338*b/7 + 2070/7.
-2*(b - 115)*(14*b - 3)**2/7
Find a, given that -154635*a**3 - 569270*a**2 - 520800*a + 5760 = 0.
-24/13, 2/183
Determine x so that 3*x**3 + 2169*x**2 - 736155*x + 52483263 = 0.
-989, 133
Solve v**3/7 + 141*v**2/7 - 5280*v/7 + 44288/7 = 0.
-173, 16
Factor 5*v**3 + 210*v**2 + 2425*v + 5520.
5*(v + 3)*(v + 16)*(v + 23)
Factor -g**4/7 + 67*g**2/7 + 18*g.
-g*(g - 9)*(g + 2)*(g + 7)/7
Factor -3*d**3 + 768*d**2 - 65415*d + 1853514.
-3*(d - 89)**2*(d - 78)
Solve -15*j**5/2 - 25*j**4/2 + 715*j**3 + 3450*j**2 + 1980*j = 0 for j.
-6, -2/3, 0, 11
Factor 3*q**3/4 - 106011*q**2/4 + 234145170*q - 234118668.
3*(q - 17668)**2*(q - 1)/4
Find p, given that p**4/5 + 3279*p**3/5 + 148718*p**2/5 = 0.
-3233, -46, 0
Let -v**3/3 + 86*v**2/3 + 841*v/3 + 1330/3 = 0. What is v?
-7, -2, 95
Factor -5*m**2 + 2100*m - 8320.
-5*(m - 416)*(m - 4)
Find s, given that -10*s**3/9 - 397376*s**2/9 - 1315870886*s/3 + 175456516 = 0.
-19869, 2/5
Find p such that -2*p**2 + 203112*p - 5156810568 = 0.
50778
Determine q so that -q**4 + 14*q**3 + 73*q**2 - 614*q - 672 = 0.
-7, -1, 6, 16
What is x in -x**2/4 + 28432*x - 808378624 = 0?
56864
Find x such that -x**2 - 819317*x = 0.
-819317, 0
Solve -85*f**5 - 715*f**4 - 60*f**3 + 1660*f**2 - 800*f = 0.
-8, -2, 0, 10/17, 1
Factor 3*y**4/7 - 135633*y**3/7 - 271275*y**2/7 - 19377*y.
3*y*(y - 45213)*(y + 1)**2/7
Let 3*a**3/4 - 7215*a**2/2 + 4327176*a + 26093088 = 0. Calculate a.
-6, 2408
Find h, given that h**5 - 27*h**4 + 239*h**3 - 677*h**2 - 240*h + 704 = 0.
-1, 1, 8, 11
Factor -4*g**2 - 566952*g - 20089660644.
-4*(g + 70869)**2
Let -6*t**5/5 + 279*t**4 - 80013*t**3/5 - 126693*t**2/5 + 201123*t/5 + 246402/5 = 0. What is t?
-2, -1, 3/2, 117
Factor 2*d**2/13 - 3148*d/13 + 15690/13.
2*(d - 1569)*(d - 5)/13
What is n in 2*n**2 - 364*n = 0?
0, 182
Suppose 5*y**5 - 431740*y**4 + 9320403110*y**3 - 18639511020*y**2 + 9319539645*y = 0. Calculate y.
0, 1, 43173
Find s, given that 4*s**4/19 - 2*s**3 - 136*s**2/19 + 770*s/19 = 0.
-5, 0, 7/2, 11
Factor -2*q**2/7 + 43320*q/7 + 173312/7.
-2*(q - 21664)*(q + 4)/7
Solve -3*p**5/2 + 475*p**4/6 + 2177*p**3/3 + 4864*p**2/3 + 976*p/3 = 0.
-4, -2/9, 0, 61
Determine v, given that -6*v**4 - 8421*v**3 - 12621*v**2 - 4206*v = 0.
-1402, -1, -1/2, 0
Determine f so that -3*f**3 + 3045*f**2 + 24531*f + 21483 = 0.
-7, -1, 1023
Factor g**4/4 - 6669*g**3 + 88964459*g**2/2 - 88944453*g + 177875569/4.
(g - 13337)**2*(g - 1)**2/4
Factor -3*q**2 - 273*q + 9126.
-3*(q - 26)*(q + 117)
Factor o**2/5 - 159*o/5 + 1180.
(o - 100)*(o - 59)/5
Factor 72*n**2 - 325012*n + 18056.
4*(n - 4514)*(18*n - 1)
Factor 2*n**3/9 - 24*n**2 - 320*n.
2*n*(n - 120)*(n + 12)/9
Find t such that 2*t**2/5 + 1437004*t/5 + 258122562002/5 = 0.
-359251
Find x such that 5*x**4 + 1715*x**3 - 20*x**2 - 6860*x = 0.
-343, -2, 0, 2
Factor 4*d**3/7 + 11784*d**2/7 + 1238160*d - 17381408/7.
4*(d - 2)*(d + 1474)**2/7
Factor -b**2 - 42530*b.
-b*(b + 42530)
Determine i, given that 5*i**2 - 79540*i + 316330580 = 0.
7954
Suppose 4*c**3 - 352*c**2 + 3216*c + 32832 = 0. Calculate c.
-6, 18, 76
Factor 5*w**3 + 740*w**2 - 18175*w - 385770.
5*(w - 33)*(w + 14)*(w + 167)
Let 775*b**3 + 157355*b**2 + 317640*b + 12060 = 0. Calculate b.
-201, -2, -6/155
Factor -3*o**2/5 - 468*o - 2337/5.
-3*(o + 1)*(o + 779)/5
Determine v so that -5*v**3 - 3000*v**2 - 29625*v - 73750 = 0.
-590, -5
Find r, given that -5*r**2 + 253570*r - 3214887245 = 0.
25357
Factor -h**2/2 + 1262346*h - 796758711858.
-(h - 1262346)**2/2
Find f, given that -5*f**4 - 3320*f**3 - 508995*f**2 - 22931020*f - 22425340 = 0.
-467, -98, -1
Suppose 4*m**4 - 10652*m**3 + 42564*m**2 - 53188*m + 21272 = 0. Calculate m.
1, 2, 2659
Determine z, given that -40*z**5 + 1654*z**4 - 3658*z**3 - 402*z**2 + 3546*z - 1404 = 0.
-1, 3/5, 3/4, 2, 39
Find v such that v**4/2 - 35*v**3 - 529*v**2/2 - 385*v = 0.
-5, -2, 0, 77
Suppose 2*i**2/7 - 164666*i/7 + 658632/7 = 0. Calculate i.
4, 82329
Factor 5*f**2 + 327760*f.
5*f*(f + 65552)
Factor 4*h**4 - 880*h**3 - 4476*h**2 - 5400*h.
4*h*(h - 225)*(h + 2)*(h + 3)
Suppose 2*c**5 + 26*c**4 - 40*c**3 - 744*c**2 + 576*c + 3456 = 0. Calculate c.
-12, -6, -2, 3, 4
Let a**3/2 - 7909*a**2 + 31284048*a - 62536464 = 0. What is a?
2, 7908
Determine l, given that 4*l**5 - 276*l**4 - 11464*l**3 - 140824*l**2 - 698940*l - 1222100 = 0.
-11, -5, 101
Let -4*q**3/5 - 1000*q**2 - 270592*q/5 - 3744384/5 = 0. What is q?
-1194, -28
Determine p so that -4*p**4 + 60*p**3 - 168*p**2 - 640*p + 1536 = 0.
-3, 2, 8
Factor -q**3/5 + 99*q**2/5 - 368*q/5 - 228.
-(q - 95)*(q - 6)*(q + 2)/5
Factor g**3/7 - 20*g**2 + 3397*g/7 + 112338/7.
(g - 79)**2*(g + 18)/7
Let -z**2/2 - 137854*z - 9501862658 = 0. Calculate z.
-137854
Factor 2*h**3/5 - 5604*h**2/5 + 763392*h + 30649280.
2*(h - 1420)**2*(h + 38)/5
What is x in -2*x**3/9 - 836*x**2/3 + 25262*x/9 - 2528 = 0?
-1264, 1, 9
Suppose 3*j**4 - 62598*j**3 + 326730207*j**2 - 1958691420*j + 2937192300 = 0. What is j?
3, 10430
Factor 4*t**4 + 5035*t**3 + 33822*t**2 + 22536*t.
t*(t + 6)*(t + 1252)*(4*t + 3)
Find r such that 2*r**5 - 1096*r**4 + 108356*r**3 - 106168*r**2 - 108358*r + 107264 = 0.
-1, 1, 128, 419
Solve -12*w**3 + 85528*w**2 - 882420*w - 626296 = 0 for w.
-2/3, 11, 7117
Find n, given that 4*n**2 + 24864*n + 49712 = 0.
-6214, -2
Factor 4*y**3/5 - 40732*y**2/5 + 276284*y - 11732244/5.
4*(y - 10149)*(y - 17)**2/5
Suppose -4*m**4/9 + 11192*m**3/3 = 0. Calculate m.
0, 8394
Suppose -4*d**2 + 3440*d + 354516 = 0. Calculate d.
-93, 953
Determine g, given that g**5/2 + 7*g**4/2 - 527*g**3 + 1036*g**2 = 0.
-37, 0, 2, 28
Determine b so that 4*b**3 + 780*b**2 - 130468*b + 129684 = 0.
-303, 1, 107
Factor -3*f**2 - 5748*f.
-3*f*(f + 1916)
What is v in 1487992323*v**3/2 + 496598758*v**2/3 + 89111*v/2 + 3 = 0?
-