(p - 3930)*(p + 1)
Factor o**2/5 - 14644*o/5 + 53611684/5.
(o - 7322)**2/5
Determine h so that -4595159646*h**4 - 144936*h**3 - 8*h**2/7 = 0.
-2/126819, 0
Factor -2*d**3 - 113908*d**2 - 911168*d - 1822272.
-2*(d + 4)**2*(d + 56946)
Solve 5*l**5/2 - 55*l**4/2 - 315*l**3/2 + 175*l**2/2 + 395*l - 300 = 0 for l.
-4, -2, 1, 15
Suppose -3*i**5/2 + 345*i**4 - 14637*i**3/2 + 36351*i**2 + 60048*i - 89424 = 0. Calculate i.
-2, 1, 12, 207
What is c in 6*c**5/7 - 222*c**4/7 - 7488*c**3/7 - 73872*c**2/7 - 44064*c - 474336/7 = 0?
-6, 61
Factor -2*p**2 - 544*p - 9144.
-2*(p + 18)*(p + 254)
Suppose x**5/2 + 15*x**4/2 + 59*x**3/2 + 21*x**2/2 - 126*x - 162 = 0. What is x?
-9, -3, -2, 2
Factor -3*s**2/4 + 65*s/4 + 108.
-(s - 27)*(3*s + 16)/4
Suppose p**2/2 - 2885*p/2 + 1442 = 0. Calculate p.
1, 2884
Factor -172*k**4 - 95208*k**3 - 17615424*k**2 - 1098288640*k - 1644589056.
-4*(k + 184)**3*(43*k + 66)
What is x in -3*x**3 - 2001*x**2 + 18198*x - 36504 = 0?
-676, 3, 6
Solve 16*b**5/9 + 11240*b**4/9 - 62207*b**3/9 + 7638*b**2 + 5193*b + 708 = 0 for b.
-708, -1/4, 3
Factor h**3 - 22*h**2 + 40*h.
h*(h - 20)*(h - 2)
Let 3*j**4 - 460104*j**3 + 17640387309*j**2 + 70571211732*j - 88211138940 = 0. Calculate j.
-5, 1, 76686
Determine k, given that -6*k**5 - 691*k**4 - 4069*k**3 - 3857*k**2 + 7315*k + 1308 = 0.
-109, -4, -3, -1/6, 1
Let -4*q**4 - 24*q**3 + 16*q**2 + 96*q = 0. What is q?
-6, -2, 0, 2
Factor 35*i**3 + 4050*i**2 + 10705*i - 3390.
5*(i + 3)*(i + 113)*(7*i - 2)
Factor -4*c**3 + 6464*c**2 - 38676*c + 57960.
-4*(c - 1610)*(c - 3)**2
What is q in q**4/2 + 60*q**3 - 2401*q**2/2 + 5694*q - 4554 = 0?
-138, 1, 6, 11
Find d such that 5*d**3/6 + 425*d**2/3 - 285*d/2 = 0.
-171, 0, 1
Determine o, given that o**5 - 50*o**4/7 - 146*o**3/7 + 180*o**2 - 1053*o/7 - 270 = 0.
-5, -6/7, 3, 7
Let l**3 + 6969*l**2 + 125174*l + 389256 = 0. Calculate l.
-6951, -14, -4
Factor 6*r**3 + 25324*r**2 + 67496*r + 33744.
2*(r + 2)*(r + 4218)*(3*r + 2)
Determine k so that -6*k**5/5 + 297*k**4/5 - 978*k**3/5 + 531*k**2/5 + 984*k/5 - 828/5 = 0.
-1, 1, 3/2, 2, 46
Suppose 5*h**5 - 240*h**4 - 4880*h**3 - 15360*h**2 = 0. What is h?
-12, -4, 0, 64
Suppose j**2/3 + 10010*j/3 - 20024/3 = 0. What is j?
-10012, 2
Find f, given that 72*f**5 - 139584*f**4 + 1066226*f**3 - 606182*f**2 - 293498*f - 27034 = 0.
-1/6, 1, 7, 1931
Factor w**2/5 + 426*w/5 + 1688/5.
(w + 4)*(w + 422)/5
Factor p**4/2 + 595811*p**3 + 354989556097*p**2/2 - 354991343532*p + 177495969672.
(p - 1)**2*(p + 595812)**2/2
Suppose u**5/2 - 68*u**4 + 2536*u**3 - 13312*u**2 - 98304*u = 0. What is u?
-4, 0, 12, 64
Solve 2*l**5/3 + 3214*l**4 - 19292*l**3/3 = 0 for l.
-4823, 0, 2
Factor 4680*v**2/11 + 528838*v/11 - 226/11.
2*(v + 113)*(2340*v - 1)/11
Factor 5*g**4/2 + 17605*g**3 - 35220*g**2.
5*g**2*(g - 2)*(g + 7044)/2
Factor j**3/4 - 7*j**2/4 - 47*j - 45.
(j - 18)*(j + 1)*(j + 10)/4
Let 2*w**3/5 + 766*w**2/5 + 65022*w/5 - 13158 = 0. Calculate w.
-255, -129, 1
Suppose -f**3/2 + 532*f**2 - 151023*f/2 + 221760 = 0. What is f?
3, 165, 896
Find w, given that 4*w**5 - 20412*w**4 + 26071200*w**3 - 78029984*w**2 - 81600*w + 104040000 = 0.
-1, 2, 2550
Factor -w**2 + 137756*w - 4744178884.
-(w - 68878)**2
Solve f**5/6 - 151*f**4/3 + 21193*f**3/6 + 41758*f**2 - 93912*f + 48672 = 0.
-12, 1, 156
Suppose 4*q**2 - 1772*q + 10488 = 0. Calculate q.
6, 437
Factor l**2/9 + 41114*l/3 + 422590249.
(l + 61671)**2/9
Factor -3*z**4/4 + 183*z**3 + 1125*z**2.
-3*z**2*(z - 250)*(z + 6)/4
Find d such that 2*d**5/7 + 52*d**4/7 + 94*d**3/7 - 52*d**2/7 - 96*d/7 = 0.
-24, -2, -1, 0, 1
Determine c, given that -3*c**2/7 - 87*c/7 + 288/7 = 0.
-32, 3
Factor 7*o**2/3 - 726934*o/3 - 69232.
(o - 103848)*(7*o + 2)/3
Solve -5*j**4 - 325*j**3 - 5070*j**2 + 5400*j = 0.
-36, -30, 0, 1
Factor c**3 - 28462*c**2 + 202521361*c.
c*(c - 14231)**2
Factor l**3 + 20*l**2 - l - 20.
(l - 1)*(l + 1)*(l + 20)
What is r in -r**3/8 + 183*r**2/4 - 8811*r/2 + 39605 = 0?
10, 178
Determine w, given that w**4/6 - 221*w**3/6 + 1883*w**2/6 + 5333*w/6 - 1166 = 0.
-3, 1, 11, 212
Factor -2*j**3/7 - 236*j**2/7 - 9216*j/7 - 119232/7.
-2*(j + 36)**2*(j + 46)/7
Factor -i**3/2 - 20087*i**2 - 403407209*i/2 + 807135842.
-(i - 4)*(i + 20089)**2/2
Suppose 4*x**2/5 + 4633752*x/5 + 1341978599844/5 = 0. What is x?
-579219
Factor 4*f**3 - 592972*f**2 + 21975097564*f + 65930629548.
4*(f - 74123)**2*(f + 3)
Factor 51*l**2/4 + 2493*l/4 - 147/2.
3*(l + 49)*(17*l - 2)/4
Let -16*x**5/3 + 194*x**4/9 + 472*x**3/9 - 1364*x**2/9 + 776*x/9 - 10/3 = 0. Calculate x.
-3, 1/24, 1, 5
Solve -2*h**2 + 23036*h = 0 for h.
0, 11518
Determine b, given that 2*b**4/3 - 242*b**3/3 + 6946*b**2/3 + 22562*b/3 + 5124 = 0.
-2, -1, 61, 63
Factor -5*o**2 - 44065*o.
-5*o*(o + 8813)
Factor 2*b**3 + 376*b**2 + 1480*b + 1472.
2*(b + 2)**2*(b + 184)
Factor -2*b**2 - 4568*b + 4570.
-2*(b - 1)*(b + 2285)
Suppose 16*m**2/3 - 150482*m/15 + 1254/5 = 0. Calculate m.
1/40, 1881
Factor -2*n**4/3 + 37064*n**3/3 - 57251524*n**2 + 343397960*n/3 - 171680450/3.
-2*(n - 9265)**2*(n - 1)**2/3
Solve 2*g**5/13 - 8*g**4 + 768*g**3/13 + 308*g**2/13 - 2114*g/13 - 1548/13 = 0 for g.
-1, 2, 9, 43
What is m in -28*m**3/5 + 631996*m**2/5 + 451448*m/5 - 180576/5 = 0?
-1, 2/7, 22572
Factor -2*d**2/3 + 468124*d/3 - 27392509922/3.
-2*(d - 117031)**2/3
What is o in o**3/4 + 823*o**2/4 + 1426*o - 1632 = 0?
-816, -8, 1
Factor h**2/4 + 373817*h + 139739149489.
(h + 747634)**2/4
Let -22*k**4/9 + 334*k**3/3 + 2716*k**2/9 - 2000*k/3 + 256 = 0. Calculate k.
-4, 6/11, 1, 48
Suppose -4*c**4 - 272*c**3 - 1524*c**2 - 2248*c - 992 = 0. Calculate c.
-62, -4, -1
What is y in -4*y**4/3 - 7124*y**3 + 42840*y**2 + 770416*y/3 + 285280 = 0?
-5349, -2, 10
Let -j**3 + 200060*j**2 + 400123*j + 200062 = 0. What is j?
-1, 200062
Factor -9173*i**2/7 - 2620*i + 12/7.
-(i + 2)*(9173*i - 6)/7
Determine t, given that t**5 - 169*t**4 - 1573*t**3 - 5123*t**2 - 6924*t - 3204 = 0.
-3, -2, -1, 178
Solve -926958916*l**3/3 - 1339624*l**2/3 - 484*l/3 = 0 for l.
-11/15223, 0
Let -9*v**5/4 - 526*v**4 + 2601*v**3/4 + 939*v**2 - 235*v = 0. Calculate v.
-235, -1, 0, 2/9, 2
Factor 14*z**2 + 592546*z - 169300.
2*(z + 42325)*(7*z - 2)
Let -n**2/3 - 103802*n/3 - 103801/3 = 0. Calculate n.
-103801, -1
Find c such that -4*c**5 - 200*c**4 - 144*c**3 + 2648*c**2 + 4948*c + 2352 = 0.
-49, -3, -1, 4
Solve 2*b**2/5 + 42584*b/5 + 226674632/5 = 0 for b.
-10646
Solve -4*l**5 + 812*l**4 + 444944*l**3 + 49201856*l**2 + 1714608128*l + 3235955264 = 0.
-94, -2, 487
Solve 47679025*a**3/6 + 47651405*a**2/6 - 13808*a/3 + 2/3 = 0 for a.
-1, 2/6905
Factor 5*y**2 - 40440*y + 242460.
5*(y - 8082)*(y - 6)
Factor 100*t**3 + 1265*t**2 + 780*t.
5*t*(t + 12)*(20*t + 13)
Factor -2*g**2/5 + 10318*g/5.
-2*g*(g - 5159)/5
Factor y**2 + 1910*y - 38600.
(y - 20)*(y + 1930)
Factor -4*t**2 - 18536*t + 74208.
-4*(t - 4)*(t + 4638)
Suppose 2*o**5/17 + 60*o**4/17 - 12*o**3 - 176*o**2/17 + 42*o - 396/17 = 0. Calculate o.
-33, -2, 1, 3
Factor -3*t**3 + 2466*t**2 + 3126816*t + 667577472.
-3*(t - 1574)*(t + 376)**2
Factor 3*b**2/4 - 719565*b/4 + 719559/2.
3*(b - 239853)*(b - 2)/4
Factor -5*y**2 - 32590*y - 53105405.
-5*(y + 3259)**2
Factor -h**3/4 + 463*h**2/4 - 2931*h/2 + 1350.
-(h - 450)*(h - 12)*(h - 1)/4
Factor p**2/3 - 49034*p/3 + 49033/3.
(p - 49033)*(p - 1)/3
What is h in h**4/3 - 26*h**3 - 904*h**2/3 + 704*h = 0?
-12, 0, 2, 88
Find k such that k**2/2 + 25353*k/2 - 38034 = 0.
-25356, 3
Find w such that -2*w**2/7 + 23294*w/7 + 46596/7 = 0.
-2, 11649
Let 12*m**5 - 38872*m**4 - 181584*m**3 - 259488*m**2 - 103808*m = 0. Calculate m.
-2, -2/3, 0, 3244
Factor -v**2/2 - 4950*v + 9902.
-(v - 2)*(v + 9902)/2
Factor -y**2 + 5497*y + 27510.
-(y - 5502)*(y + 5)
Factor 2*w**3/3 + 88*w**2 + 2610*w.
2*w*(w + 45)*(w + 87)/3
Solve -2*y**5/25 + 7968*y**4/25 - 7912188*y**3/25 - 47688488*y**2/25 - 14321706*y/5 - 1273608 = 0 for y.
-4, -1, 1995
Find a, given that -a**2/2 - 3121*a - 6241/2 = 0.
-6241, -1
Determine x, given that 2*x**5/21 - 284*x**4/21 + 4120*x**3/7 - 58476*x**2/7 + 54450*x/7 = 0.
0, 1, 33, 75
Factor 4*h**4 - 2188*h**3 - 106560*h**2.
4*h**2*(h - 592)*(h + 45)
Suppose 4*n**3 + 21160*n**2 + 27835392*n - 393853824 = 0. What is n?
-2652, 14
Factor 2*w**3/9 - 14*w**2 + 928*w/9 + 264.
2*(w - 54)*(w - 11)*(w + 2)/9
Determine a so that 36*a**5/5 - 666*a**4/5 - 92*a**3 + 450*a**2 