1/3, 1
Determine y, given that -y**2 - 499*y/2 - 30305/2 = 0.
-145, -209/2
Determine q, given that 40*q**4 - 3935*q**3 + 3855*q**2 + 3935*q - 3895 = 0.
-1, 1, 779/8
Solve 2*n**3/5 - 116*n**2/5 - 2256*n/5 + 8064 = 0.
-24, 12, 70
Factor 2*g**3 - 50*g**2 - 18*g + 450.
2*(g - 25)*(g - 3)*(g + 3)
Find h, given that 2*h**3 + 12778*h**2 + 20403270*h - 20416050 = 0.
-3195, 1
Let b**2 + 905*b/7 + 4350/7 = 0. Calculate b.
-870/7, -5
Factor -4*s**5 + 100136*s**4 - 200260*s**3 + 100128*s**2.
-4*s**2*(s - 25032)*(s - 1)**2
Factor l**2 + 6737*l + 53832.
(l + 8)*(l + 6729)
Factor -5*a**5 + 50*a**4 - 120*a**3 - 80*a**2 + 560*a - 480.
-5*(a - 6)*(a - 2)**3*(a + 2)
Solve -z**5/4 - 9*z**4/2 - 35*z**3/4 + 207*z**2/2 - 90*z = 0 for z.
-12, -10, 0, 1, 3
Factor 2*g**3/9 + 302*g**2/9 + 2302*g/9 + 2002/9.
2*(g + 1)*(g + 7)*(g + 143)/9
What is i in -2*i**4/7 + 92*i**3 - 24688*i**2/7 - 703292*i + 14974098/7 = 0?
-67, 3, 193
Determine h so that -h**2/7 - 473*h/7 + 1908/7 = 0.
-477, 4
Factor -5*a**2/4 + 5285*a - 31665.
-5*(a - 4222)*(a - 6)/4
Factor -x**2 - 7590*x.
-x*(x + 7590)
Factor 5*s**3 + 215*s**2 + 2480*s + 4140.
5*(s + 2)*(s + 18)*(s + 23)
Solve -2*t**3/7 + 9948*t**2/7 - 12380280*t/7 + 24720784/7 = 0.
2, 2486
Determine s so that s**4 - 2074*s**3 - 4151*s**2 - 2076*s = 0.
-1, 0, 2076
Determine l, given that 26*l**3/11 - 18*l**2 + 256*l/11 + 480/11 = 0.
-1, 4, 60/13
Determine h, given that -3*h**3 - 369*h**2 + 3099*h - 5895 = 0.
-131, 3, 5
Factor -3*y**3 + 10527*y**2 + 21063*y + 10533.
-3*(y - 3511)*(y + 1)**2
Factor 2*v**2 - 26484*v - 477360.
2*(v - 13260)*(v + 18)
Solve -3*t**5 + 111*t**4 + 2457*t**3 + 4569*t**2 + 2226*t = 0 for t.
-14, -1, 0, 53
Factor 2*d**3/3 - 313*d**2/3 + 1372*d/3 - 608/3.
(d - 152)*(d - 4)*(2*d - 1)/3
Factor -3*j**3 + 23256*j**2 + 162993*j - 418986.
-3*(j - 7759)*(j - 2)*(j + 9)
Solve 2*h**3 + 15732*h**2 - 15734*h = 0 for h.
-7867, 0, 1
Factor -8836*u**2 - 50760*u - 72900.
-4*(47*u + 135)**2
Find m such that m**2 - 6507*m = 0.
0, 6507
Factor -2*y**2 + 1751204*y - 383339431202.
-2*(y - 437801)**2
Let 8*j**5/7 - 3364*j**4/7 + 34680*j**3/7 - 98500*j**2/7 + 41000*j/7 = 0. What is j?
0, 1/2, 5, 410
Factor -3*u**3 + 15042*u**2 + 1806285*u + 53593476.
-3*(u - 5132)*(u + 59)**2
Suppose 4*y**2 + 178248*y - 356512 = 0. What is y?
-44564, 2
Suppose 2*f**5/3 + 1140*f**4 - 44864*f**3/3 - 37876*f**2 + 51690*f = 0. Calculate f.
-1723, -3, 0, 1, 15
Suppose -36*v**3 + 908*v**2 + 728*v = 0. What is v?
-7/9, 0, 26
Find r such that 2*r**3 + 922*r**2 + 17598*r - 18522 = 0.
-441, -21, 1
Factor -4*y**2 - 5840*y + 52884.
-4*(y - 9)*(y + 1469)
Factor r**3 - 291*r**2 + 27027*r - 780273.
(r - 117)**2*(r - 57)
Solve 14*r**4/9 + 274130*r**3/9 + 447337732*r**2/3 + 958362680*r/9 - 383376400/9 = 0.
-9790, -1, 2/7
Factor 13*b**2 + 1696*b - 26292.
(b - 14)*(13*b + 1878)
Factor 2*d**3/9 - 30*d**2 - 8*d/9 + 120.
2*(d - 135)*(d - 2)*(d + 2)/9
What is m in 5*m**5 + 60*m**4 - 425*m**3 - 1180*m**2 + 7500*m - 8000 = 0?
-16, -5, 2, 5
Factor a**4/4 - 161*a**3/4 - a**2 + 161*a.
a*(a - 161)*(a - 2)*(a + 2)/4
Suppose -4*v**2 - 2712*v + 10912 = 0. Calculate v.
-682, 4
Solve 3*a**3/5 - 703401*a**2/5 + 2813568*a/5 - 2813556/5 = 0 for a.
2, 234463
Suppose -3*j**2 + 140646*j = 0. What is j?
0, 46882
Factor -3*w**3/7 - 813*w**2/7 + 2460*w/7 - 1644/7.
-3*(w - 2)*(w - 1)*(w + 274)/7
Factor p**2 - 1000*p + 250000.
(p - 500)**2
Let 4*t**4/7 - 104*t**3/7 - 52*t**2/7 + 200*t - 1248/7 = 0. What is t?
-4, 1, 3, 26
Factor 4*x**2 + 89844*x - 359440.
4*(x - 4)*(x + 22465)
What is a in 6*a**4 + 33*a**3/2 - 357*a**2/2 = 0?
-7, 0, 17/4
Find c such that -3*c**3 - 192*c**2 - 2964*c = 0.
-38, -26, 0
Let w**5 + 289*w**4 - 2677*w**3 + 1571*w**2 + 24012*w - 37548 = 0. What is w?
-298, -3, 2, 3, 7
Factor -2*z**3/9 + 60850*z**2/9 + 487088*z/3 + 974368.
-2*(z - 30449)*(z + 12)**2/9
Solve -3*u**2 - 305508*u + 305511 = 0.
-101837, 1
Factor -2*c**3 + 36942*c**2 + 295632*c + 591328.
-2*(c - 18479)*(c + 4)**2
Suppose 2061*o**3 + 16494*o**2 + 14475*o + 42 = 0. What is o?
-7, -1, -2/687
Determine a, given that 20*a**2 - 3645*a + 15130 = 0.
17/4, 178
Factor -x**2/2 - 7386*x + 14773/2.
-(x - 1)*(x + 14773)/2
Solve -3*q**5/2 - 87*q**4/2 + 60*q**3 + 444*q**2 - 216*q - 1080 = 0.
-30, -2, 2, 3
Factor -p**3/2 - 151505*p**2/2 - 2869258504*p - 2869182752.
-(p + 1)*(p + 75752)**2/2
Factor -2*s**2/7 + 5358*s/7 - 550408/7.
-2*(s - 2572)*(s - 107)/7
Suppose 525*f**5/8 - 3725565*f**4/8 - 6870927*f**3/4 + 2976747*f**2 - 511140*f - 426000 = 0. Calculate f.
-5, -2/7, 4/5, 7100
What is w in 5*w**2 + 34450*w + 34445 = 0?
-6889, -1
Let -2*c**4/17 - 6*c**3/17 + 6*c**2 - 74*c/17 - 180/17 = 0. What is c?
-9, -1, 2, 5
Find k, given that -80*k**4 + 146*k**3 + 578*k**2 + 448*k + 96 = 0.
-1, -4/5, -3/8, 4
Factor -2*g**2 + 7316052*g - 6690577108338.
-2*(g - 1829013)**2
Suppose 4*l**5 + 4408*l**4 + 1227556*l**3 + 7246768*l**2 + 10828480*l + 4804864 = 0. What is l?
-548, -4, -1
Factor -4*r**3 - 2124*r**2 + 74584*r + 76704.
-4*(r - 34)*(r + 1)*(r + 564)
Find d, given that -d**4/2 - 207*d**3/2 - 10813*d**2/2 - 10197*d/2 + 10609 = 0.
-103, -2, 1
Factor -2*o**3/7 + 564*o**2/7 + 1634*o.
-2*o*(o - 301)*(o + 19)/7
Determine b so that -b**4/9 - 410*b**3/9 - 1193*b**2/3 + 12118*b/9 + 35288/9 = 0.
-401, -11, -2, 4
Find v such that -22*v**3 + 140*v**2 - 266*v + 148 = 0.
1, 2, 37/11
Factor -l**2/6 + 1522*l/3 + 1015/2.
-(l - 3045)*(l + 1)/6
What is h in -h**5/2 + 135*h**4 + 3*h**3/2 - 406*h**2 + 270*h = 0?
-2, 0, 1, 270
Factor -2*w**4/3 + 152*w**3/3 + 2314*w**2/3.
-2*w**2*(w - 89)*(w + 13)/3
Suppose -4*o**5 + 116*o**4 + 556*o**3 - 884*o**2 - 1320*o = 0. What is o?
-5, -1, 0, 2, 33
Factor -c**3 - 1398099*c**2 - 2796195*c - 1398097.
-(c + 1)**2*(c + 1398097)
Factor 4*z**3 + 2200*z**2 - 8848*z + 8864.
4*(z - 2)**2*(z + 554)
Factor 24*c**2 - 217*c - 1235.
(c - 13)*(24*c + 95)
Factor 220*v**2 + 1015*v + 540.
5*(v + 4)*(44*v + 27)
Factor -4*z**3/5 - 37136*z**2/5 + 357888*z - 21500928/5.
-4*(z - 24)**2*(z + 9332)/5
Factor 2*h**4/5 - 75554*h**3/5 - 151114*h**2/5 - 75558*h/5.
2*h*(h - 37779)*(h + 1)**2/5
Factor 20*u**2 + 92404*u - 73936.
4*(u + 4621)*(5*u - 4)
Factor 3*k**2 - 20271*k.
3*k*(k - 6757)
Factor 2*i**4 + 820*i**3.
2*i**3*(i + 410)
Factor z**4/6 - 40523*z**3/3 + 27015*z**2/2.
z**2*(z - 81045)*(z - 1)/6
Determine z, given that 3*z**3/4 - 594*z**2 - 2379*z/4 = 0.
-1, 0, 793
Factor 5*k**3 - 90*k**2 - 1725*k + 3770.
5*(k - 29)*(k - 2)*(k + 13)
Find y, given that -3*y**3 + 1752*y**2 - 6972*y + 6960 = 0.
2, 580
Suppose 22*a**2/5 - 26408*a/5 - 16814/5 = 0. Calculate a.
-7/11, 1201
Factor 2*w**2 + 133920*w + 2241820800.
2*(w + 33480)**2
Factor -x**5 - 3*x**4 + 172*x**3 - 576*x**2.
-x**2*(x - 9)*(x - 4)*(x + 16)
Factor -5*h**2 - 22785*h - 159250.
-5*(h + 7)*(h + 4550)
Factor -f**2/8 + 1153*f/8 - 1151/4.
-(f - 1151)*(f - 2)/8
What is r in 45*r**3 + 340*r**2 - 1645*r + 660 = 0?
-11, 4/9, 3
Determine s, given that -3*s**3 - 552*s**2 - 4767*s - 7350 = 0.
-175, -7, -2
Factor -2*g**2/11 + 3426*g/11 + 34460/11.
-2*(g - 1723)*(g + 10)/11
Determine h so that 27*h**3 - 1344*h**2 + 12687*h + 2886 = 0.
-2/9, 13, 37
Determine c so that c**4/2 + 38*c**3 - 43677*c**2/2 - 21950*c + 43750 = 0.
-250, -2, 1, 175
Solve -2*a**4/3 + 10*a**3 + 722*a**2/3 + 870*a = 0 for a.
-9, -5, 0, 29
Determine u, given that 20*u**5 - 332635*u**4 + 1391324960*u**3 - 68600103970*u**2 + 842021523500*u + 214814628125 = 0.
-1/4, 25, 8291
Factor -u**4/5 - 20*u**3 - 387*u**2/5 - 288*u/5.
-u*(u + 1)*(u + 3)*(u + 96)/5
Factor -2*q**3/9 + 1720*q**2/9 - 1142*q/3 - 572.
-2*(q - 858)*(q - 3)*(q + 1)/9
Find f, given that -60*f**2 - 6484*f - 432 = 0.
-108, -1/15
Solve -3*v**3/5 - 2466*v**2 + 74088*v/5 = 0 for v.
-4116, 0, 6
Factor i**4 + 77*i**3 + 1725*i**2 + 9275*i + 12250.
(i + 2)*(i + 5)*(i + 35)**2
Let -5*l**4 - 610*l**3 + 5*l**2 + 610*l = 0. Calculate l.
-122, -1, 0, 1
Factor -4*f**2/3 - 4677136*f/3 - 1367225072656/3.
-4*(f + 584642)**2/3
Let 3*n**4/2 - 22*n**3 - 254*n**2 - 408*n = 0. What is n?
-6, -2, 0, 68/3
Find p, given that -p**2 + 760*p - 1516 = 0.
2, 758
Factor l**3/2 - 531*l**2/2 + 1059*l/2 - 529/2.
(l - 529)*(l - 1)**2/2
Factor 2*t**2/19 + 915820*t/19 + 104840784050/19.
2*(t + 228955)**2/19
Find h such that -2*h**3 + 784*h**2 + 13000*h + 22848 = 0.
-14, -2, 408
Determine n, given that n**2/2 + 121*n/2 -