542*w**4 - 12330*w**3 - 100346*w**2 - 148550*w - 60000 = 0 for w.
-25, -16, -1, -3/4
Factor 2*q**2 - 328*q + 5510.
2*(q - 145)*(q - 19)
Factor q**2 + 27592*q - 27593.
(q - 1)*(q + 27593)
Factor 11*o**3 - 1758*o**2 + 45781*o + 8382.
(o - 127)*(o - 33)*(11*o + 2)
Factor 2*s**3 - 658*s**2 + 8240*s - 7584.
2*(s - 316)*(s - 12)*(s - 1)
Factor 2*d**2 + 1114*d + 133700.
2*(d + 175)*(d + 382)
Factor w**2/5 + 347154*w/5.
w*(w + 347154)/5
Factor 3*c**4 - 6618*c**3 + 39627*c**2 - 59400*c.
3*c*(c - 2200)*(c - 3)**2
Solve -n**4 - 4608*n**3 + 36908*n**2 - 92304*n + 73856 = 0 for n.
-4616, 2, 4
Find j, given that -4*j**4 + 380*j**3 + 400*j**2 - 1520*j - 1536 = 0.
-2, -1, 2, 96
Factor 5*o**3 - 5350*o**2 - 5365*o + 10710.
5*(o - 1071)*(o - 1)*(o + 2)
Determine z so that -z**3/8 + 13*z**2/8 + 169*z/8 - 1045/8 = 0.
-11, 5, 19
Determine x so that 1534*x**3/5 + 13802*x**2/5 - 15376*x/5 + 8 = 0.
-10, 2/767, 1
Factor -n**2/2 - 13553*n - 183683809/2.
-(n + 13553)**2/2
Factor s**2/4 - 22633*s/2 + 512252689/4.
(s - 22633)**2/4
Determine g so that 3*g**2/5 - 2514*g/5 + 270891/5 = 0.
127, 711
Let c**2 + 100*c - 75341 = 0. What is c?
-329, 229
Factor 5*o**2 + 1475*o + 7250.
5*(o + 5)*(o + 290)
Factor -b**2/3 + 16438*b/3 - 67551961/3.
-(b - 8219)**2/3
Suppose -3*u**4/4 - 1323*u**3/4 + 1995*u**2/2 - 666*u = 0. What is u?
-444, 0, 1, 2
Suppose -2*h**5 - 28198*h**4 - 56388*h**3 = 0. Calculate h.
-14097, -2, 0
Determine t so that -6252*t**4 - 6244*t**3 + 25016*t**2 + 24976*t - 32 = 0.
-2, -1, 2/1563, 2
Factor -5*p**3 - 106920*p**2 - 571594320*p.
-5*p*(p + 10692)**2
Factor m**2 + 992*m + 218127.
(m + 329)*(m + 663)
Factor 121*a**4 - 3498*a**3 - 7675*a**2 - 5172*a - 1116.
(a - 31)*(a + 1)*(11*a + 6)**2
Factor -15715*f**3 + 94245*f**2 - 141165*f - 405.
-5*(f - 3)**2*(3143*f + 9)
Suppose o**3/4 - 47*o**2/2 - 260*o = 0. What is o?
-10, 0, 104
Factor -2*q**3/5 + 1704*q**2/5 + 2*q/5 - 1704/5.
-2*(q - 852)*(q - 1)*(q + 1)/5
Factor 3*h**2 - 13323*h + 39942.
3*(h - 4438)*(h - 3)
Determine n so that -3*n**5 + 492*n**4 + 7575*n**3 - 17580*n**2 - 7572*n + 17088 = 0.
-16, -1, 1, 2, 178
What is d in 20*d**4 + 475*d**3 - 200*d**2 - 1900*d + 480 = 0?
-24, -2, 1/4, 2
Factor 3*m**4/2 + 64269*m**3/2 + 229632912*m**2 + 548511665664*m + 8176115957760.
3*(m + 15)*(m + 7136)**3/2
Determine q so that -2*q**4/3 + 1439*q**3 + 5054*q**2 - 60548*q/3 + 8648 = 0.
-6, 1/2, 2, 2162
Factor j**2 - 207*j - 8470.
(j - 242)*(j + 35)
Suppose -6*k**3 + 650*k**2 - 5408*k - 13464 = 0. Calculate k.
-2, 34/3, 99
Determine f, given that -6*f**2/11 - 195542*f/11 - 65180/11 = 0.
-32590, -1/3
What is w in w**3/12 + 885997*w**2/12 + 16354009500*w + 16353935667 = 0?
-442998, -1
Solve -2*d**2/11 - 450962*d/11 + 450964/11 = 0 for d.
-225482, 1
Solve -5*l**5 + 3705*l**4 - 225100*l**3 - 465060*l**2 = 0.
-2, 0, 69, 674
Suppose -5*u**3/6 + 255*u**2 - 13405*u/6 + 1980 = 0. What is u?
1, 8, 297
Factor 2*t**2/13 + 10988*t/13 - 187374/13.
2*(t - 17)*(t + 5511)/13
Find u, given that -32*u**5 - 712*u**4 - 2204*u**3 + 10676*u**2 - 6872*u + 1088 = 0.
-17, -8, 1/4, 1/2, 2
Factor -y**2 - 71826*y - 1289743569.
-(y + 35913)**2
What is w in -2*w**2/17 + 572*w/17 + 24624/17 = 0?
-38, 324
Factor -3*f**4 - 783*f**3 + 310104*f**2 - 20760684*f.
-3*f*(f - 118)**2*(f + 497)
Determine y so that -3*y**5/5 - 4302*y**4/5 - 25731*y**3/5 - 38556*y**2/5 = 0.
-1428, -3, 0
Factor h**4 - 953*h**3 + 117231*h**2 - 3880215*h.
h*(h - 815)*(h - 69)**2
Determine a, given that -2*a**2/7 - 16398*a/7 + 65624/7 = 0.
-8203, 4
Factor -2*h**3 + 8450*h**2 - 8801526*h - 262399482.
-2*(h - 2127)**2*(h + 29)
Let -j**3/6 + 4*j**2/3 + 79*j/6 + 35/3 = 0. Calculate j.
-5, -1, 14
Factor 5*b**4 - 3190*b**3 - 19395*b**2 + 48340*b - 25760.
5*(b - 644)*(b - 1)**2*(b + 8)
Let -3*h**5/4 - 87*h**4/4 + 423*h**3/4 + 4551*h**2/4 + 1875*h + 864 = 0. Calculate h.
-32, -4, -1, 9
Find q, given that -2*q**5/9 - 4*q**4/9 = 0.
-2, 0
Find z, given that 27*z**2/2 + 105699*z - 46980 = 0.
-7830, 4/9
Let 2*g**2/7 - 3656*g - 76794/7 = 0. What is g?
-3, 12799
Solve 2*a**4/7 + 3564*a**3/7 + 1626320*a**2/7 + 34214400*a/7 + 61952000/7 = 0 for a.
-880, -20, -2
Factor 4*p**2 + 3629944*p + 823530840196.
4*(p + 453743)**2
Let 4*p**2 + 1348*p + 49560 = 0. Calculate p.
-295, -42
Suppose 8*g**3 - 31162*g**2 - 62348*g - 31178 = 0. Calculate g.
-1, 15589/4
Let 3*l**4/5 - 339*l**3/5 - 28578*l**2/5 - 83316*l/5 - 11016 = 0. Calculate l.
-54, -2, -1, 170
Factor -8*z**2/7 + 448818*z/7 - 561010/7.
-2*(z - 56101)*(4*z - 5)/7
Find j, given that 4*j**2/3 + 18696*j - 729820/3 = 0.
-14035, 13
Determine t so that -4*t**5 + 76*t**4 - 528*t**3 + 1600*t**2 - 1792*t = 0.
0, 4, 7
Factor 16*q**3/5 - 103616*q**2 + 518068*q/5 - 129516/5.
4*(q - 32379)*(2*q - 1)**2/5
Suppose 5*b**4 + 11590*b**3 + 8856540*b**2 + 2153162330*b - 59547442625 = 0. Calculate b.
-781, 25
Solve -r**5 + 321*r**4 - 24611*r**3 - 184669*r**2 - 294216*r - 134480 = 0 for r.
-5, -1, 164
Let 3*m**5/2 + 4617*m**4/2 + 865911*m**3 - 17213199*m**2 + 63638847*m/2 - 30948891/2 = 0. What is m?
-779, 1, 17
Find u, given that -3*u**5/7 - 75*u**4/7 + 261*u**3/7 + 219*u**2/7 - 906*u/7 + 72 = 0.
-28, -2, 1, 3
Factor -2*m**3 + 690*m**2 - 22446*m + 61182.
-2*(m - 309)*(m - 33)*(m - 3)
What is r in 2*r**3/13 + 1966*r**2/13 - 3722*r - 50350/13 = 0?
-1007, -1, 25
What is j in 5*j**3 - 19110*j**2 - 403325*j - 730170 = 0?
-19, -2, 3843
Solve -2*d**5 + 4*d**4 + 84*d**3 - 16*d**2 - 514*d - 420 = 0.
-5, -2, -1, 3, 7
Factor 3*t**3/5 - 19702*t**2/5 + 32340832*t/5 + 21569312/5.
(t - 3284)**2*(3*t + 2)/5
Find j, given that 2*j**3 + 4710*j**2 - 18872*j = 0.
-2359, 0, 4
Find z, given that -3*z**5 + 1735*z**4 + 24461*z**3/3 + 4857*z**2 + 2332*z/3 = 0.
-4, -1/3, 0, 583
Determine l, given that -21*l**5/8 - 123*l**4/4 + 807*l**3/8 + 483*l**2/2 + 141*l/2 - 42 = 0.
-14, -1, 2/7, 4
Let a**2 + 293266*a + 21501236689 = 0. What is a?
-146633
Suppose 4*l**3 + 1432*l**2 + 4260*l = 0. What is l?
-355, -3, 0
Factor -3*v**2 + 2334*v + 16485.
-3*(v - 785)*(v + 7)
Factor u**4 + 11310*u**3 + 67833*u**2 + 101736*u.
u*(u + 3)**2*(u + 11304)
Suppose -4*u**4 - 6488*u**3 - 2604740*u**2 + 21255200*u = 0. What is u?
-815, 0, 8
What is z in -4*z**3 - 13756*z**2 + 1348224*z - 32578560 = 0?
-3535, 48
Factor 5*k**2 + 442555*k + 1770140.
5*(k + 4)*(k + 88507)
Let -2*g**3/3 - 13972*g**2/3 - 51150*g = 0. Calculate g.
-6975, -11, 0
Factor 2*b**3 - 1122*b**2 + 207648*b - 12700800.
2*(b - 225)*(b - 168)**2
Let -w**5/2 + 105*w**4 - 11223*w**3/2 + 9871*w**2 + 50544*w - 97344 = 0. Calculate w.
-3, 2, 3, 104
Solve -k**3/4 + 5059*k**2/4 - 10102*k = 0 for k.
0, 8, 5051
Let 2*u**4/11 - 4188*u**3/11 + 2196584*u**2/11 - 4342992*u/11 - 17505856/11 = 0. Calculate u.
-2, 4, 1046
Factor -k**3 + 1401*k**2 - 26292*k + 46988.
-(k - 1382)*(k - 17)*(k - 2)
Determine m so that 4*m**2 + 1720*m + 143284 = 0.
-317, -113
Factor -2*j**2/9 - 20564*j/9 - 52859762/9.
-2*(j + 5141)**2/9
Find g, given that 2*g**2 - 226*g + 5772 = 0.
39, 74
Suppose -4*y**4 + 588*y**3 - 22472*y**2 + 63360*y - 41472 = 0. What is y?
1, 2, 72
Solve 5*t**4 + 855*t**3 + 18110*t**2 - 20700*t - 37960 = 0 for t.
-146, -26, -1, 2
Factor -3*y**2 + 78*y + 1680.
-3*(y - 40)*(y + 14)
Suppose r**3/5 + 228*r**2/5 - 459*r/5 + 46 = 0. Calculate r.
-230, 1
Find z such that -2*z**4/9 + 1492*z**3/3 + 35912*z**2/9 + 17968*z/3 = 0.
-6, -2, 0, 2246
Solve -2*k**3/23 + 9330*k**2/23 - 10885776*k/23 + 10876448/23 = 0.
1, 2332
Find b such that -3*b**3 - 238992*b**2 - 238989*b = 0.
-79663, -1, 0
What is s in -2*s**5/9 - 5144*s**4/9 + 12026*s**3/3 - 72196*s**2/9 + 41264*s/9 = 0?
-2579, 0, 1, 2, 4
Factor -3*w**2 - 33318*w - 92507427.
-3*(w + 5553)**2
Factor -3*r**2/5 + 5607*r + 84132/5.
-3*(r - 9348)*(r + 3)/5
Solve -15*f**4 + 7227*f**3 + 1461*f**2 - 7227*f - 1446 = 0.
-1, -1/5, 1, 482
Factor -3*w**3 + 56409*w**2 + 225699*w - 282105.
-3*(w - 18807)*(w - 1)*(w + 5)
Solve -z**2/7 - 5916*z/7 - 8749764/7 = 0.
-2958
Solve 3*a**3 - 396974*a**2 - 132325*a = 0.
-1/3, 0, 132325
Factor -2*b**2 + 194*b + 9240.
-2*(b - 132)*(b + 35)
Suppose -2*h**4 + 24924*h**3 - 647010*h**2 + 4203368*h = 0. Calculate h.
0, 13, 12436
Let l**2 - 347*l + 1032 = 0. What is l?
3, 344
Suppose 2*l**2/3 - 19988*l/3 - 13328 = 0. What is l?
-2, 9996
What is w in -2*w**3 - 5244*w**2 + 180542*w - 175296 = 0?
-2656, 1, 33
Factor -4*z**2/3 + 1232