t r**4 - 1032*r**3 + 267285*r**2 - 530450*r = 0.
0, 2, 515
Let 3*c**4/5 - 2641*c**3/5 - 132752*c**2/5 + 44544*c/5 = 0. Calculate c.
-48, 0, 1/3, 928
Solve -2*w**5/5 + 146*w**4/5 - 2606*w**3/5 - 7218*w**2/5 + 40176*w - 116640 = 0.
-9, 5, 36
Factor x**3/2 + 355*x**2 + 28681*x/2.
x*(x + 43)*(x + 667)/2
Factor -3*n**2/2 - 3315*n + 846153/2.
-3*(n - 121)*(n + 2331)/2
Factor -845*k**3 - 1808560*k**2 - 556420*k - 42800.
-5*(k + 2140)*(13*k + 2)**2
Let -2*f**2 + 97622*f = 0. What is f?
0, 48811
Factor n**2/5 - 40278*n/5 + 40273.
(n - 40273)*(n - 5)/5
Solve 2*n**5/7 - 254*n**4/7 + 10156*n**3/7 - 134968*n**2/7 + 684720*n/7 - 1166400/7 = 0.
4, 5, 10, 54
Factor 2*g**3 - 34*g**2 - 34948*g + 350880.
2*(g - 136)*(g - 10)*(g + 129)
Suppose -4*b**5/7 - 636*b**4/7 + 1336*b**3/7 + 7568*b**2/7 - 25632*b/7 + 2944 = 0. Calculate b.
-161, -4, 2
Factor 3*f**3/7 + 106989*f**2/7 + 953940669*f/7 + 953833683/7.
3*(f + 1)*(f + 17831)**2/7
Factor 2*u**2/11 - 395476*u/11 + 19550158322/11.
2*(u - 98869)**2/11
Solve 27*q**5 + 453*q**4 - 453*q**3 - 6213*q**2 - 4110*q + 1224 = 0.
-17, -3, -1, 2/9, 4
Factor v**4/6 - 185*v**3/2 + 2737*v**2/6 + 2381*v/2 + 1925/3.
(v - 550)*(v - 7)*(v + 1)**2/6
Factor -500*l**4 - 371700*l**3 - 69340145*l**2 - 96530490*l - 33722045.
-5*(l + 371)**2*(10*l + 7)**2
Factor 4*c**2 + 4680*c - 23500.
4*(c - 5)*(c + 1175)
Factor 3*q**2 - 426*q + 14448.
3*(q - 86)*(q - 56)
Factor r**2/6 + 1226263*r/3 + 1503720945169/6.
(r + 1226263)**2/6
Determine v so that -4*v**5 + 6308*v**4 - 81520*v**3 + 300560*v**2 - 425536*v + 200192 = 0.
1, 2, 8, 1564
Solve -5*i**2 - 222825*i - 222820 = 0.
-44564, -1
Determine t, given that t**4/8 - 25*t**3/4 + 695*t**2/8 - 875*t/4 + 138 = 0.
1, 2, 23, 24
Solve -2*k**2/7 + 1496020*k/7 - 279759480050/7 = 0 for k.
374005
Factor 2*r**2 + 1094*r + 140760.
2*(r + 207)*(r + 340)
Suppose -4*w**3 + 3208*w**2 - 170084*w + 166880 = 0. Calculate w.
1, 56, 745
Factor -5*g**3 - 6925*g**2 - 2720000*g - 215040000.
-5*(g + 105)*(g + 640)**2
Factor 4*v**3 - 70436*v**2 + 310112096*v - 310041664.
4*(v - 8804)**2*(v - 1)
Determine q, given that -10*q**4/3 - 142*q**3 - 1044*q**2 + 10944*q + 6912 = 0.
-24, -3/5, 6
Factor 4*m**2/7 - 7354*m/7 + 1050.
2*(m - 1)*(2*m - 3675)/7
Let -i**3/5 - 53*i**2/5 + 365*i - 1771/5 = 0. What is i?
-77, 1, 23
Factor -4*t**2 - 1416*t - 89216.
-4*(t + 82)*(t + 272)
Factor 2*g**3/5 + 1138*g**2/5 - 83322*g + 6116310.
2*(g - 135)**2*(g + 839)/5
Solve 2*o**4 - 110*o**3 + 1560*o**2 - 1240*o - 2912 = 0.
-1, 2, 26, 28
Factor 5*i**4/3 + 500*i**3/3 + 12320*i**2/3.
5*i**2*(i + 44)*(i + 56)/3
Factor -4*d**2 + 60424*d - 228191236.
-4*(d - 7553)**2
Let -2*o**2/13 + 8154*o/13 + 57176/13 = 0. Calculate o.
-7, 4084
Find s, given that 6*s**5 - 4137*s**4 + 6168*s**3 + 16503*s**2 + 6192*s = 0.
-1, -1/2, 0, 3, 688
Determine z so that 4*z**5/5 + 264*z**4/5 + 5436*z**3/5 + 41384*z**2/5 + 108432*z/5 + 18144 = 0.
-35, -18, -9, -2
Solve -t**3/3 - 76*t**2/3 + 4160*t = 0 for t.
-156, 0, 80
Find u, given that -2*u**5/19 + 50*u**4/19 - 330*u**3/19 + 10*u**2 + 572*u/19 = 0.
-1, 0, 2, 11, 13
Factor 4*r**2 - 6002152*r + 2251614289444.
4*(r - 750269)**2
Solve 6*n**5/7 + 408*n**4/7 - 1218*n**3 - 39168*n**2/7 - 4320*n = 0 for n.
-84, -3, -1, 0, 20
Determine u so that -u**5/4 - 273*u**4/2 - 23493*u**3 - 1650742*u**2 - 41352600*u = 0.
-300, -82, 0
Let 5*u**4 - 170*u**3 + 2140*u**2 - 11800*u + 24000 = 0. Calculate u.
6, 8, 10
Find f such that -2*f**3/11 + 1158*f**2/11 - 19966*f/11 - 11730 = 0.
-5, 23, 561
Factor 381*c**2 - 18330*c - 18711.
3*(c + 1)*(127*c - 6237)
Factor -3*i**5 - 522*i**4 - 3060*i**3 - 6072*i**2 - 4032*i.
-3*i*(i + 2)**3*(i + 168)
Factor -j**3/9 + 559*j**2/3 - 234640*j/3 + 702244/9.
-(j - 838)**2*(j - 1)/9
Solve 6*w**5 + 115863*w**4/2 - 86931*w**3/2 - 130359*w**2 - 28968*w = 0.
-9656, -1, -1/4, 0, 2
Find t such that 24*t**4 + 2668*t**3 + 5668*t**2 - 16*t - 1744 = 0.
-109, -2, -2/3, 1/2
Factor 4*y**2 - 1800*y - 596736.
4*(y - 672)*(y + 222)
Suppose 2*r**2/9 - 29204*r/9 + 116720/3 = 0. Calculate r.
12, 14590
Let -5*c**3 - 24940*c**2 - 942305*c - 8934750 = 0. What is c?
-4950, -19
Suppose 5*l**2 - 365*l + 3410 = 0. What is l?
11, 62
Factor o**2 - 6134*o - 321672.
(o - 6186)*(o + 52)
Let -2*i**2 + 50*i + 29212 = 0. Calculate i.
-109, 134
Factor 10*b**3 + 735*b**2 + 5565*b + 2600.
5*(b + 8)*(b + 65)*(2*b + 1)
Determine b so that 3*b**4/7 - 937851*b**3/7 - 2813574*b**2/7 - 267960*b = 0.
-2, -1, 0, 312620
Factor 21*j**3/2 - 32478*j**2 - 390303*j/2 - 292869.
3*(j + 3)**2*(7*j - 21694)/2
Suppose 21*c**4 + 804*c**3 + 9867*c**2 + 40176*c + 10692 = 0. What is c?
-18, -11, -9, -2/7
Suppose 2*c**3 + 68*c**2 - 590*c - 656 = 0. Calculate c.
-41, -1, 8
Factor o**3 + 935*o**2 + 5502*o - 66888.
(o - 6)*(o + 12)*(o + 929)
Find j such that 4*j**4 - 607992*j**3 + 23102784004*j**2 + 46207392000*j + 23104000000 = 0.
-1, 76000
Find o, given that 5*o**4 - 175*o**3 + 765*o**2 + 9855*o + 17550 = 0.
-3, 15, 26
Factor -2*d**2/7 - 225412*d/7 - 6351321218/7.
-2*(d + 56353)**2/7
Suppose 5*q**3/2 - 27*q**2/2 - 310*q + 126 = 0. What is q?
-9, 2/5, 14
Determine t, given that 5*t**2 - 1905*t = 0.
0, 381
Factor -r**5/4 + 65*r**4/4 + 33*r**3/2.
-r**3*(r - 66)*(r + 1)/4
Factor d**3/4 - 1187*d**2/4 + 21275*d/2.
d*(d - 1150)*(d - 37)/4
Factor -q**2/2 + 73862*q - 147723/2.
-(q - 147723)*(q - 1)/2
Find p, given that -2*p**2 + 30*p + 200 = 0.
-5, 20
Solve 4*n**5/5 + 128*n**4/5 + 348*n**3/5 = 0 for n.
-29, -3, 0
Let 3*q**5/5 + 9*q**4 - 27*q**3 - 381*q**2 + 2052*q/5 + 756 = 0. Calculate q.
-15, -7, -1, 2, 6
Factor -4*k**2/5 + 7626064*k/5 - 3634803258256/5.
-4*(k - 953258)**2/5
Solve 3*b**5 - 12*b**4 - 15*b**3 + 108*b**2 - 108*b = 0.
-3, 0, 2, 3
Factor 2*t**5 + 880*t**4 + 7812*t**3 + 23328*t**2 + 23274*t.
2*t*(t + 3)**3*(t + 431)
Determine v, given that -2*v**2 + 552*v - 37120 = 0.
116, 160
Factor -k**5 + 45*k**4 + 47*k**3 - 45*k**2 - 46*k.
-k*(k - 46)*(k - 1)*(k + 1)**2
Determine g, given that -g**2/3 - 2579*g/3 - 4290 = 0.
-2574, -5
Determine c, given that 6*c**4/7 + 229*c**3/7 - 180*c**2/7 - 63375*c/7 - 237500/7 = 0.
-25, -4, 95/6
Factor -d**4/6 - 14*d**3 - 80*d**2 - 472*d/3 - 104.
-(d + 2)**3*(d + 78)/6
Find d such that -4*d**3 + 10631*d**2/3 - 2354102*d/3 - 196249/3 = 0.
-1/12, 443
Determine k so that -3*k**5 - 489*k**4 - 486*k**3 = 0.
-162, -1, 0
Find s, given that -2*s**5/9 + 3566*s**4/9 + 3572*s**3/9 - 7136*s**2/9 = 0.
-2, 0, 1, 1784
Factor -w**2/8 + 35597*w/2 + 142389/8.
-(w - 142389)*(w + 1)/8
Suppose 2*o**5/7 + 84524*o**4/7 + 338076*o**3/7 + 507104*o**2/7 + 338066*o/7 + 84516/7 = 0. What is o?
-42258, -1
Solve -3*k**2 - 8154*k + 189129 = 0.
-2741, 23
Factor -2*f**3 + 5288*f**2 + 37114*f.
-2*f*(f - 2651)*(f + 7)
Let -m**4/4 - 295*m**3/4 - 137*m**2/2 + 1470*m = 0. Calculate m.
-294, -5, 0, 4
Solve -2*s**2 - 23750*s - 23748 = 0.
-11874, -1
Suppose -4*r**3/5 + 21856*r**2/5 - 29920756*r/5 + 178738584/5 = 0. Calculate r.
6, 2729
Factor 4*c**4 + 560*c**3 + 14464*c**2 - 371904*c + 681408.
4*(c - 14)*(c - 2)*(c + 78)**2
Find n such that 2*n**4 + 74*n**3 + 610*n**2 + 1006*n + 468 = 0.
-26, -9, -1
Let r**2 + 25550*r = 0. Calculate r.
-25550, 0
Find a such that -3*a**2/5 - 571428*a/5 - 27210829932/5 = 0.
-95238
Factor 4*c**3 + 1004*c**2 - 99408*c.
4*c*(c - 76)*(c + 327)
Factor 5*b**5 - 525*b**4 - 2705*b**3 - 4915*b**2 - 3840*b - 1100.
5*(b - 110)*(b + 1)**3*(b + 2)
Solve 20*y**5 - 975*y**4 + 6615*y**3 - 10585*y**2 - 3075*y = 0 for y.
-1/4, 0, 3, 5, 41
Factor -25*l**4/2 + 3490*l**3 - 238667*l**2 - 688926*l - 974169/2.
-(l - 141)**2*(5*l + 7)**2/2
Determine w, given that -45*w**4 - 27665*w**3 - 4207065*w**2 + 13826205*w - 2864430 = 0.
-309, 2/9, 3
Solve -20*x**3 - 16875*x**2 + 583040*x - 144705 = 0 for x.
-877, 1/4, 33
Find z such that z**2/7 + 18454*z + 595962703 = 0.
-64589
Determine m so that -2*m**2 - 4577308*m - 2618968565858 = 0.
-1144327
Let 3*w**4/5 + 30*w**3 + 243*w**2/5 - 2268*w/5 - 5184/5 = 0. What is w?
-48, -3, 4
Factor -4*i**2 + 224284*i + 448584.
-4*(i - 56073)*(i + 2)
Factor 4*d**3/3 + 6368*d**2 + 19076*d/3 - 38200.
4*(d - 2)*(d + 3)*(d + 4775)/3
Factor -4*r**2/3 - 112432*r/3 - 790059664/3.
-4*(r + 14054)**2/3
Let -4*j**4 + 880*j**3 + 39216*j**2 = 0. Calculate j.
-38, 0, 258
Factor -k**2 - 25011*k + 50026.
-(k - 2)*(k + 25013)
Let 5*x**5 - 435*x**4 - 1385*x**3 + 3075*x**2 + 68