 - 4481)*(f - 1)/4
Factor o**3 - 51*o**2 + 594*o - 544.
(o - 34)*(o - 16)*(o - 1)
Suppose -4*m**2 + 276992*m - 4795285504 = 0. Calculate m.
34624
Factor -269378*p**3 - 1354230*p**2 - 36750*p - 250.
-2*(p + 5)*(367*p + 5)**2
Solve x**3/2 + 61*x**2/2 - 49*x/2 - 2989/2 = 0 for x.
-61, -7, 7
Determine f, given that 2*f**4 + 6276*f**3 + 480552*f**2 + 9773296*f + 17674560 = 0.
-3060, -38, -2
Solve -t**3 - 140*t**2 - 1047*t + 1188 = 0 for t.
-132, -9, 1
Factor 5*o**2 - 76405*o.
5*o*(o - 15281)
Find d such that -26*d**2 - 389458*d/3 - 19972/3 = 0.
-4993, -2/39
Find r, given that 2*r**5/5 - 134*r**4/5 + 498*r**3/5 + 414*r**2/5 - 2268*r/5 = 0.
-2, 0, 3, 63
Solve -i**2 - 153*i + 40158 = 0.
-291, 138
Factor -5*t**3 + 1915*t**2 - 9450*t.
-5*t*(t - 378)*(t - 5)
Find w such that 225*w**5/2 - 19569*w**4/2 + 207414*w**3 + 243138*w**2 - 429264*w - 11616 = 0.
-2, -2/75, 1, 44
Find f, given that -2*f**2 + 252*f - 496 = 0.
2, 124
Solve 5*j**2 - 6035*j + 311310 = 0.
54, 1153
Factor 2*w**2/7 + 1767796*w/7 + 390637837202/7.
2*(w + 441949)**2/7
Find z, given that -5*z**4 + 110*z**3 + 380*z**2 - 110*z - 375 = 0.
-3, -1, 1, 25
Determine f so that -4*f**2 + 9532*f + 28632 = 0.
-3, 2386
Factor 3*c**4 - 1014*c**3 + 1899*c**2 + 39096*c + 72576.
3*(c - 336)*(c - 8)*(c + 3)**2
Find d, given that 104*d**4/5 - 12866*d**3/5 + 9058*d**2/5 + 5426*d/5 - 1722/5 = 0.
-7/13, 1/4, 1, 123
Determine k so that k**4 + 1011*k**3 + 63985*k**2 - 131007*k + 66010 = 0.
-943, -70, 1
What is x in 2*x**2/9 + 26*x/9 - 476/3 = 0?
-34, 21
Find i such that 50*i**4 - 201040*i**3 - 442642*i**2 + 450600*i - 96552 = 0.
-3, 2/5, 4023
Determine q, given that 5*q**4/6 - 2660173*q**3/6 + 157255890435*q**2/2 - 9296140028066325*q/2 - 1859240586112875 = 0.
-2/5, 177345
Factor i**3/4 + 74*i**2 - 27651*i/4 + 284427/2.
(i - 39)**2*(i + 374)/4
Suppose 5*g**3 - 230*g**2 - 2120*g + 29120 = 0. What is g?
-14, 8, 52
Factor -2*v**3 + 8864*v**2 - 9687002*v - 298641660.
-2*(v - 2231)**2*(v + 30)
Solve -i**5 + 8*i**4 + 33*i**3 - 116*i**2 - 164*i + 240 = 0.
-4, -2, 1, 3, 10
Suppose -3*r**3 + 870*r**2 - 55857*r + 54990 = 0. Calculate r.
1, 94, 195
Factor -w**2/8 + 11649*w/8 - 17469/4.
-(w - 11646)*(w - 3)/8
Suppose m**5/4 - 11*m**4/2 - 1465*m**3/2 - 1435*m**2 + 2929*m/4 + 2881/2 = 0. Calculate m.
-43, -2, -1, 1, 67
Solve -2*d**2 + 805288*d - 81061095368 = 0.
201322
Solve -4*s**3/3 + 323708*s**2/3 - 647404*s/3 + 107900 = 0 for s.
1, 80925
What is z in z**3/3 - 80*z**2/3 + 599*z - 2706 = 0?
6, 33, 41
Factor m**3 - 20728*m**2.
m**2*(m - 20728)
Factor -2*r**4/7 + 7892*r**3/7 - 7816962*r**2/7 + 62157392*r/7 - 124062752/7.
-2*(r - 1969)**2*(r - 4)**2/7
Factor 3*a**2 + 246078*a + 738207.
3*(a + 3)*(a + 82023)
Find h such that 512*h**4/7 - 3076*h**3/7 - 8168*h**2/7 + 64*h/7 = 0.
-2, 0, 1/128, 8
Factor 257*w**3/4 - 765*w**2 + 2241*w + 216.
(w - 6)**2*(257*w + 24)/4
Suppose -2*j**2 - 870*j - 81328 = 0. What is j?
-299, -136
Factor 2*g**3 + 3036*g**2 - 3038*g.
2*g*(g - 1)*(g + 1519)
Factor 3*r**3 - 12408*r**2 + 37203*r - 24798.
3*(r - 4133)*(r - 2)*(r - 1)
Factor -5*s**3/3 - 383*s**2/3 - 5482*s/3 - 5104/3.
-(s + 1)*(s + 58)*(5*s + 88)/3
Factor x**3 + 12768*x**2 - 25539*x + 12770.
(x - 1)**2*(x + 12770)
Factor -2*f**2/7 - 259802*f/7 + 259804/7.
-2*(f - 1)*(f + 129902)/7
Determine z, given that z**3 + 3979*z**2 + 3978*z = 0.
-3978, -1, 0
Solve 3*s**4 - 852*s**3 + 31959*s**2 + 74262*s - 269592 = 0.
-4, 2, 47, 239
Factor i**2 - 19420*i + 38836.
(i - 19418)*(i - 2)
Determine g so that -2*g**2 + 237*g + 119 = 0.
-1/2, 119
Factor 4*u**3 - 2001*u**2 + 2496*u - 499.
(u - 499)*(u - 1)*(4*u - 1)
Solve 5*r**2 - 1270*r + 23400 = 0.
20, 234
Factor 2*j**2/11 + 329094*j/11 - 329096/11.
2*(j - 1)*(j + 164548)/11
Suppose 5*z**4 - 392*z**3 + 3258*z**2 - 1008*z - 1863 = 0. What is z?
-3/5, 1, 9, 69
Factor 5*x**3 - 8750*x**2 + 8735*x + 17490.
5*(x - 1749)*(x - 2)*(x + 1)
Determine k so that -2*k**3/5 - 4774*k**2/5 - 14304*k/5 = 0.
-2384, -3, 0
Suppose -5*x**2 - 14125*x - 42330 = 0. Calculate x.
-2822, -3
What is i in -3*i**3/4 - 333*i**2 - 85227*i/4 - 82575/2 = 0?
-367, -75, -2
What is v in 84*v**3 - 111392*v**2 - 885840*v + 85376 = 0?
-8, 2/21, 1334
Find l, given that 5*l**4 - 40*l**3 - 100*l**2 = 0.
-2, 0, 10
Solve -2*g**4/7 - 20*g**3/7 + 4454*g**2/7 + 4472*g/7 = 0 for g.
-52, -1, 0, 43
Solve -3*h**5/2 + 603*h**4/2 - 597*h**3/2 - 603*h**2/2 + 300*h = 0 for h.
-1, 0, 1, 200
What is b in 2*b**4 - 280*b**3 + 11924*b**2 - 144936*b + 334890 = 0?
3, 15, 61
Factor -t**4/8 - 239933*t**3/8 - 2159343*t**2/8 - 6477975*t/8 - 1619487/2.
-(t + 3)**3*(t + 239924)/8
Determine s so that 22*s**3/9 + 688*s**2 - 11638*s/3 + 28700/9 = 0.
-287, 1, 50/11
Factor -y**5/2 - 3*y**4/2 + 35*y**3 - 99*y**2 + 27*y/2 + 297/2.
-(y - 3)**3*(y + 1)*(y + 11)/2
Factor -2*k**2/5 - 16139*k/5 - 8069/5.
-(k + 8069)*(2*k + 1)/5
Factor 14*q**3/9 - 19700*q**2 + 50656*q/9.
2*q*(q - 12664)*(7*q - 2)/9
Let a**2 + 1114*a + 76960 = 0. Calculate a.
-1040, -74
Solve -d**3/5 - 243*d**2/5 + 1593*d - 12285 = 0.
-273, 15
Suppose -v**4 + 87819*v**3 + v**2 - 87819*v = 0. Calculate v.
-1, 0, 1, 87819
Find g such that 2*g**3 + 1924*g**2 + 460792*g - 929296 = 0.
-482, 2
Factor b**3 + 21922*b**2 - 43848*b.
b*(b - 2)*(b + 21924)
Determine f so that 2*f**3/7 - 204*f**2/7 - 10088*f/7 + 20976/7 = 0.
-38, 2, 138
Factor -2*n**2/5 - 78928*n/5 - 778703648/5.
-2*(n + 19732)**2/5
Solve 4*r**4 - 10520*r**3 + 6895828*r**2 + 27709680*r + 27751824 = 0.
-2, 1317
Factor -4*d**2/7 - 2668*d/7 - 2664/7.
-4*(d + 1)*(d + 666)/7
Determine g so that -g**2/5 - 136796*g/5 - 4678286404/5 = 0.
-68398
Factor -4*h**3 + 224052*h**2 + 1344420*h + 2016684.
-4*(h - 56019)*(h + 3)**2
Find o such that -2*o**2 - 87996*o + 176000 = 0.
-44000, 2
Factor -q**2/3 - 2633*q/3 - 14824.
-(q + 17)*(q + 2616)/3
Solve 4*f**4 + 24*f**3 - 236*f**2 - 816*f - 560 = 0.
-10, -2, -1, 7
Factor q**2/4 + 93*q/4 + 1081/2.
(q + 46)*(q + 47)/4
Determine i, given that 128*i**4 + 416*i**3 + 370*i**2 + 100*i = 0.
-2, -5/8, 0
Suppose -2*y**2/5 + 244*y - 2432/5 = 0. Calculate y.
2, 608
Factor -k**3 + 2468*k**2 - 1515325*k - 9181014.
-(k - 1237)**2*(k + 6)
Factor 4*z**2/5 - 2188*z/5 - 2192/5.
4*(z - 548)*(z + 1)/5
Let -2*r**2/3 + 2530*r/3 + 20368/3 = 0. Calculate r.
-8, 1273
Find o such that 333*o**3/5 + 930*o**2 + 16149*o/5 - 588/5 = 0.
-7, 4/111
Factor 5*h**3 + 2050*h**2 + 188125*h - 4622500.
5*(h - 20)*(h + 215)**2
Suppose 2*w**4/5 - 19024*w**3/5 + 45239064*w**2/5 + 76096*w/5 - 180956288/5 = 0. Calculate w.
-2, 2, 4756
Factor -4*s**2/3 + 1016*s - 110880.
-4*(s - 630)*(s - 132)/3
Let 14*g**3 + 4042*g**2 - 17564*g + 4688 = 0. What is g?
-293, 2/7, 4
Find r, given that -5*r**3 + 10865*r**2 - 151330*r + 431800 = 0.
4, 10, 2159
Factor m**3/8 + 21*m**2/8 - 611*m/4.
m*(m - 26)*(m + 47)/8
Factor -r**2/4 + 1539*r/4 - 1152.
-(r - 1536)*(r - 3)/4
Factor 5*u**3 - 27220*u**2 + 27215*u.
5*u*(u - 5443)*(u - 1)
What is w in 81*w**3/2 + 1746*w**2 - 1576*w + 352 = 0?
-44, 4/9
Suppose -5*z**2 + 2300*z - 26880 = 0. Calculate z.
12, 448
What is g in -3386*g**3/5 + 6094*g**2 + 121932*g/5 + 144/5 = 0?
-3, -2/1693, 12
Solve -4*f**2 + 24796*f + 198624 = 0 for f.
-8, 6207
Factor -2809*m**3/3 + 102343*m**2 - 2847040*m + 8236900/3.
-(m - 1)*(53*m - 2870)**2/3
Let -56*y**3 + 237852*y**2 - 252484128*y - 162409536 = 0. What is y?
-9/14, 2124
Determine j so that 3*j**2 + 211014*j + 3710575683 = 0.
-35169
Solve 3916*c**2 - 23497*c/2 + 3/2 = 0 for c.
1/7832, 3
Let 2*s**4 + 1202*s**3 + 82866*s**2 - 257042*s + 172972 = 0. Calculate s.
-521, -83, 1, 2
Factor t**2 + 314678*t + 24755560921.
(t + 157339)**2
Factor 2*t**2/7 + 179332*t/7 - 179334/7.
2*(t - 1)*(t + 89667)/7
Find y such that -y**2 - 254948*y = 0.
-254948, 0
Find o such that -5*o**2 + 1142*o/3 - 861 = 0.
7/3, 369/5
Suppose 4*m**2/7 - 15052*m/7 + 15024 = 0. What is m?
7, 3756
Suppose 5*v**4 + 4745*v**3 + 1648110*v**2 + 245873900*v + 13062473240 = 0. What is v?
-274, -127
Factor 3*m**3 - 468*m**2 + 3993*m - 3528.
3*(m - 147)*(m - 8)*(m - 1)
Find q, given that q**5 + 12*q**4 + 37*q**3 - 18*q**2 - 164*q - 120 = 0.
-6, -5, -2, -1, 2
Determine b so that 10*b**2 + 1985*b + 4900 = 0.
-196, -5/2
Let a**3/6 + 18637*a**2/3 + 37273*a/6 = 0. Calculate a.
-37273, -1, 0
Let -2*u**5/5 + 8*u**4 + 76*u**3 - 1352*u**2 - 7098*u/5 = 0. What is u?
-13, -1, 0, 13, 21
Deter