1, 0, 6
Factor -u**4 - 49*u**3 - 575*u**2 - 527*u.
-u*(u + 1)*(u + 17)*(u + 31)
Solve 25*n**5/2 + 2095*n**4/2 - 7593*n**3 - 56074*n**2 - 40948*n - 7920 = 0 for n.
-90, -4, -2/5, 11
Factor -2*o**2 + 282*o - 2620.
-2*(o - 131)*(o - 10)
Suppose 3*n**4 - 8184*n**3 + 202863*n**2 - 373014*n = 0. What is n?
0, 2, 23, 2703
Factor v**3/2 - 42978*v**2 + 923554242*v.
v*(v - 42978)**2/2
Factor -2*m**2/7 - 684*m/7 + 18350/7.
-2*(m - 25)*(m + 367)/7
Determine g so that 3*g**5/8 + 237*g**4/2 + 1590*g**3 + 5415*g**2/4 - 12723*g/8 - 5889/4 = 0.
-302, -13, -1, 1
Let -r**2/4 + 1171*r/4 + 15561/2 = 0. Calculate r.
-26, 1197
Factor -2*w**2 - 35972*w - 161748098.
-2*(w + 8993)**2
Determine b so that 2*b**5 - 660*b**4 + 14308*b**3 - 56192*b**2 - 278694*b - 207532 = 0.
-2, -1, 13, 307
Let -3*n**2/4 + 16569*n/2 - 91510587/4 = 0. Calculate n.
5523
Factor u**4 - 671*u**3 - 1346*u**2.
u**2*(u - 673)*(u + 2)
Let 76*r**5 - 20816*r**4 + 79888*r**3 + 8640*r**2 = 0. What is r?
-2/19, 0, 4, 270
Factor -v**5/10 - 11601*v**4/10 + 5801*v**3/5.
-v**3*(v - 1)*(v + 11602)/10
Suppose -5*j**2 + 197010*j - 1940647005 = 0. What is j?
19701
Suppose 3*s**2 - 38847*s - 38850 = 0. What is s?
-1, 12950
Factor 5*x**3 - 17955*x**2 + 16855095*x - 1306028825.
5*(x - 1753)**2*(x - 85)
Factor 2*c**2/5 + 3584*c/5 - 5760.
2*(c - 8)*(c + 1800)/5
Solve 6*w**4/5 + 102*w**3 + 12018*w**2/5 + 9978*w + 38376/5 = 0 for w.
-41, -39, -4, -1
Let -2*y**4/9 + 16*y**3/9 + 92*y**2/9 - 256*y/9 - 110/3 = 0. Calculate y.
-5, -1, 3, 11
Factor -14*m**3 - 452*m**2 - 4654*m - 14872.
-2*(m + 13)**2*(7*m + 44)
What is d in 4*d**3 - 2360*d**2 - 4736*d = 0?
-2, 0, 592
Suppose -5*p**3 + 15090*p**2 + 75605*p - 90690 = 0. What is p?
-6, 1, 3023
Let 3*a**5 + 303*a**4 - 16755*a**3 - 1220403*a**2 + 50250144*a - 49013292 = 0. What is a?
-94, 1, 43
Find a such that 2*a**4/3 - 10468*a**3/3 - 125906*a**2/3 + 10468*a/3 + 41968 = 0.
-12, -1, 1, 5246
Let -58*b**2/5 + 252*b/5 + 38 = 0. What is b?
-19/29, 5
Determine f, given that 4*f**2 - 10668*f - 10672 = 0.
-1, 2668
Factor -4*j**4/5 + 51712*j**3/5 - 44572296*j**2 + 320251912288*j/5 - 320029102516/5.
-4*(j - 4309)**3*(j - 1)/5
Factor 3*o**2/8 - 615*o + 9744.
3*(o - 1624)*(o - 16)/8
Suppose 3*a**4 - 39303*a**3 + 171596880*a**2 - 249501627648*a - 750050316288 = 0. Calculate a.
-3, 4368
Factor 5*w**3 - 1915*w**2 - 5780*w - 3860.
5*(w - 386)*(w + 1)*(w + 2)
What is g in 3*g**4 - 1362*g**3 - 42885*g**2 - 326700*g = 0?
-15, 0, 484
Determine c, given that c**2 - 19666*c + 19665 = 0.
1, 19665
Factor -5*h**3/2 + 785*h**2/2 - 14520*h + 156960.
-5*(h - 109)*(h - 24)**2/2
Factor -2*h**3 + 556*h**2 - 1650*h.
-2*h*(h - 275)*(h - 3)
Factor 5*f**5 - 285*f**4 - 11775*f**3 + 36985*f**2 - 37530*f + 12600.
5*(f - 84)*(f - 1)**3*(f + 30)
Factor -n**2/5 - 219*n/5 - 2394.
-(n + 105)*(n + 114)/5
Determine p so that -2*p**4/11 - 22832*p**3/11 - 65253792*p**2/11 - 520934912*p/11 - 1041139712/11 = 0.
-5704, -4
Factor 2*m**3 - 162*m**2 - 8*m + 648.
2*(m - 81)*(m - 2)*(m + 2)
Factor 4*y**3 + 2102*y**2/5 + 42*y.
2*y*(y + 105)*(10*y + 1)/5
Factor 3*o**2/2 + 32733*o/2 - 81870.
3*(o - 5)*(o + 10916)/2
Factor 12856765*z**4 - 75169845*z**3 - 11723775*z**2 - 602455*z - 10290.
5*(z - 6)*(137*z + 7)**3
Suppose -684*i**3 + 17992*i**2 - 114228*i - 26280 = 0. Calculate i.
-2/9, 219/19, 15
Factor 5*f**3 - 8895*f**2 - 17805*f - 8905.
5*(f - 1781)*(f + 1)**2
Solve 5*p**5/2 + 75*p**4/2 + 170*p**3 + 120*p**2 - 720*p - 1080 = 0.
-6, -3, -2, 2
Suppose -3*a**2/5 + 74838*a/5 - 466727187/5 = 0. What is a?
12473
Let 2*h**4/7 - 8*h**3/7 - 212*h**2 - 13816*h/7 - 12342/7 = 0. What is h?
-17, -11, -1, 33
Factor 2*g**3 + 5284*g**2 + 21104*g.
2*g*(g + 4)*(g + 2638)
Factor z**3/5 + 36*z**2 + 7503*z/5 - 7684/5.
(z - 1)*(z + 68)*(z + 113)/5
Factor p**4/4 + 709*p**3/4 - p**2/4 - 709*p/4.
p*(p - 1)*(p + 1)*(p + 709)/4
Factor 4*v**3/5 - 112732*v**2/5 + 90176*v - 450864/5.
4*(v - 28179)*(v - 2)**2/5
Let -1210*s**2/3 + 10886*s/9 + 4/3 = 0. What is s?
-2/1815, 3
Find g such that g**3/6 + 5881*g**2/3 - 11765*g/6 - 3921 = 0.
-11763, -1, 2
Factor -4*g**2 + 17988*g - 17984.
-4*(g - 4496)*(g - 1)
Factor -k**4 - 239*k**3 + 9030*k**2 - 69444*k - 176904.
-(k - 18)**2*(k + 2)*(k + 273)
Solve 3*d**2 + 522*d + 16899 = 0 for d.
-131, -43
What is s in -84852*s**2/11 - 452550*s/11 - 32/11 = 0?
-16/3, -1/14142
Let 5*y**4 - 2420*y**3 + 287025*y**2 - 10287970*y + 19447120 = 0. What is y?
2, 77, 328
Find m such that 24*m**5/11 + 750*m**4/11 + 3306*m**3/11 - 50196*m**2/11 - 121608*m/11 - 27216/11 = 0.
-18, -2, -1/4, 7
Factor 2*q**3 + 1174*q**2 + 26974*q - 28150.
2*(q - 1)*(q + 25)*(q + 563)
Factor -y**2/4 - 31*y/4 + 111/2.
-(y - 6)*(y + 37)/4
Factor 5*w**3 + 17470*w**2 - 69940*w + 69960.
5*(w - 2)**2*(w + 3498)
Factor d**3/12 + 3*d**2/4 - 4*d/3 - 12.
(d - 4)*(d + 4)*(d + 9)/12
Factor -l**3 + 307*l**2 - 3527*l - 3835.
-(l - 295)*(l - 13)*(l + 1)
Find n such that n**2/5 - 149562*n/5 + 5592197961/5 = 0.
74781
Suppose -q**4/2 - 3287*q**3/2 - 3285*q**2/2 + 3287*q/2 + 1643 = 0. Calculate q.
-3286, -1, 1
Factor 308*s**2/9 + 3704*s/3.
4*s*(77*s + 2778)/9
Factor -5*r**3 + 26505*r**2 + 2524605*r + 59587775.
-5*(r - 5395)*(r + 47)**2
Let 208*l**4/9 + 786*l**3 + 46660*l**2/9 + 9664*l + 832/9 = 0. What is l?
-26, -4, -1/104
Factor -2*x**3 + 239*x**2 + 613*x - 366.
-(x - 122)*(x + 3)*(2*x - 1)
Solve -r**4/2 + 19299*r**3 - 248127000*r**2 + 1060402703125*r + 57624275390625/2 = 0 for r.
-27, 12875
What is f in f**2/2 + 14241*f + 202806081/2 = 0?
-14241
Suppose -2035*d**3/3 - 1360*d**2 - 20*d/3 = 0. What is d?
-2, -2/407, 0
Factor a**5/5 - 4148*a**4/5 + 4301476*a**3/5.
a**3*(a - 2074)**2/5
Solve -829*z**3/6 - 585277*z**2/6 - 103302979*z/6 - 124609/2 = 0.
-353, -3/829
What is h in -5*h**4 - 16570*h**3 + 1880340*h**2 - 70079110*h + 867432625 = 0?
-3425, 37
Determine i so that 4012*i**2 + 2512*i + 240 = 0.
-30/59, -2/17
Let -4*k**5 - 20*k**4 + 860*k**3 + 6820*k**2 + 14264*k + 8320 = 0. What is k?
-13, -5, -2, -1, 16
Let -45*n**5 - 9030*n**4 - 192605*n**3 + 482740*n**2 - 376100*n + 95040 = 0. What is n?
-176, -27, 2/3, 1
Find t, given that -1058*t**3/11 - 510830*t**2/11 + 88864*t/11 - 3864/11 = 0.
-483, 2/23
Find f, given that -2*f**4 - 2710*f**3 - 18790*f**2 + 110470*f - 88968 = 0.
-1348, -11, 1, 3
Find q such that -4*q**4 + 3216*q**3 - 541092*q**2 + 537880*q = 0.
0, 1, 238, 565
Factor -20*d**3 - 45*d**2 + 50*d + 15.
-5*(d - 1)*(d + 3)*(4*d + 1)
Solve 504*s**5 - 20660*s**4 + 19900*s**3 + 4080*s**2 - 3184*s - 640 = 0.
-2/7, -2/9, 1/2, 1, 40
Suppose 2*y**2/7 + 36390*y + 254728/7 = 0. Calculate y.
-127364, -1
Suppose -90*u**5/7 + 32866*u**4/7 + 126738*u**3/7 + 73142*u**2/7 - 29496*u/7 - 8856/7 = 0. Calculate u.
-3, -1, -2/9, 2/5, 369
Find n, given that 5*n**2/3 + 2445200*n/3 = 0.
-489040, 0
Let b**2/9 - 132628*b/9 + 4397546596/9 = 0. Calculate b.
66314
Factor -d**2 + 99510*d - 2475560025.
-(d - 49755)**2
Determine z so that -3*z**2 - 1219746*z - 123981692043 = 0.
-203291
Determine w, given that 2*w**5/13 - 40*w**4/13 - 528*w**3/13 - 2048*w**2/13 - 3296*w/13 - 1920/13 = 0.
-4, -2, 30
Determine v, given that 4*v**5/5 - 18*v**4 - 228*v**3/5 + 2152*v**2/5 - 3312*v/5 + 1152/5 = 0.
-6, 1/2, 2, 24
Factor 4*v**5/9 - 196*v**4/9 + 980*v**3/3 - 1372*v**2.
4*v**2*(v - 21)**2*(v - 7)/9
Factor 4*k**3/3 + 412*k**2/3 - 154752*k - 26647920.
4*(k - 365)*(k + 234)**2/3
Suppose y**4/3 - 20*y**3 + 132*y**2 + 1040*y/3 = 0. What is y?
-2, 0, 10, 52
Factor 3*p**5/7 + 45882*p**4/7 + 25054848*p**3 - 350951424*p**2/7.
3*p**2*(p - 2)*(p + 7648)**2/7
Suppose i**4 - 7989*i**3 + 15960024*i**2 - 15952036*i = 0. Calculate i.
0, 1, 3994
Factor 4*l**2/3 - 3964*l - 372496/3.
4*(l - 3004)*(l + 31)/3
Factor 3*a**2/4 + 219*a/2 + 15555/4.
3*(a + 61)*(a + 85)/4
Factor h**3/4 + 3071*h**2/2 + 6141*h/4.
h*(h + 1)*(h + 6141)/4
Determine a so that 4*a**3 - 798672*a**2 = 0.
0, 199668
Determine a so that -7*a**4/3 + 397*a**3 - 50*a**2 - 3388*a/3 - 680 = 0.
-1, -6/7, 2, 170
Suppose -v**3/2 - 2699*v**2 + 16201*v/2 - 5401 = 0. Calculate v.
-5401, 1, 2
Find f, given that f**2/6 - 17869*f/2 + 26803/3 = 0.
1, 53606
Let -3*j**2/2 - 10482*j - 62865/2 = 0. Calculate j.
-6985, -3
Factor 5*t**3 + 930*t**2 + 14515*t + 25350.
5*(t + 2)*(t + 15)*(t + 169)
Factor -b**2/4 + 394201*b/2 - 155394428401/4.
-(b - 394201)**2/4
Factor 6*b**2/7 - 208938*b/7 + 2