n**2 - 48*n + 160 = 0. Calculate n.
-5, -4, -2, 1, 4
Suppose -4*r**3 - 1408*r**2 - 33680*r + 73024 = 0. What is r?
-326, -28, 2
Solve 3*d**4/8 - 2589*d**3/8 + 820287*d**2/8 - 112195551*d/8 + 2757667809/4 = 0.
122, 247
What is u in u**2 - 39718*u = 0?
0, 39718
Solve 5*f**2 - 6880*f - 20685 = 0.
-3, 1379
Factor -3*w**2/5 - 33864*w/5 - 95564208/5.
-3*(w + 5644)**2/5
Solve 14*n**5 - 164*n**4 - 21944*n**3 - 6256*n**2 = 0 for n.
-34, -2/7, 0, 46
Factor -4*k**4 + 629736*k**3 + 1259484*k**2 + 629744*k.
-4*k*(k - 157436)*(k + 1)**2
Suppose -2*u**2/7 - 61140*u - 3270837150 = 0. Calculate u.
-106995
Factor -4*w**4 + 14056*w**3 - 12348196*w**2.
-4*w**2*(w - 1757)**2
Suppose -5*u**4 - 562140*u**3 = 0. What is u?
-112428, 0
Let -2*g**4 + 266*g**3/11 + 328*g**2/11 - 4256*g/11 + 384/11 = 0. What is g?
-4, 1/11, 4, 12
Find z such that 8*z**2 + 399518*z - 99880 = 0.
-49940, 1/4
Factor -4*c**2 + 31265*c - 7816.
-(c - 7816)*(4*c - 1)
Factor -k**3/3 - 423*k**2 + 78352*k/3.
-k*(k - 59)*(k + 1328)/3
What is w in -w**3/2 + 495*w**2/2 + 46547*w - 94080 = 0?
-147, 2, 640
Suppose 100*z**5/7 - 44960*z**4/7 + 695852*z**3 + 40920392*z**2/7 + 109110144*z/7 + 94228992/7 = 0. Calculate z.
-3, -2, 1144/5
Factor -5*t**4 + 195*t**3 + 1100*t**2.
-5*t**2*(t - 44)*(t + 5)
Find r, given that -65*r**3 + 4560*r**2 - 17860*r + 2640 = 0.
2/13, 4, 66
Find r, given that 2*r**2 + 156*r + 2530 = 0.
-55, -23
Factor 2*m**3 + 178*m**2 - 6552*m.
2*m*(m - 28)*(m + 117)
Find d, given that d**3/3 - 55*d**2/3 - 100*d = 0.
-5, 0, 60
Factor -3*n**2 - 23058*n.
-3*n*(n + 7686)
Suppose -2*m**2/3 - 1396*m/3 + 10066 = 0. Calculate m.
-719, 21
Suppose -t**3/7 - 14538*t**2/7 + 2077*t = 0. What is t?
-14539, 0, 1
Factor 7*a**3/4 + 919468*a**2 + 483098469995*a/4 + 69013917025/2.
(a + 262705)**2*(7*a + 2)/4
Factor 2*o**2/5 + 42096*o/5 + 221509152/5.
2*(o + 10524)**2/5
Solve 2*l**5 - 88*l**4 + 826*l**3 + 628*l**2 - 6408*l + 5040 = 0.
-3, 1, 2, 14, 30
Find a, given that a**3/7 - 39826*a**2/7 + 79649*a/7 - 39824/7 = 0.
1, 39824
Suppose 4*k**5 + 12*k**4 - 16468*k**3 - 389004*k**2 + 1379664*k + 1752192 = 0. Calculate k.
-39, -1, 4, 72
Factor -k**2 + 18636*k - 18635.
-(k - 18635)*(k - 1)
Determine q so that -2*q**3 + 354564*q**2 - 709122*q + 354560 = 0.
1, 177280
Suppose -2*h**3/7 - 12*h**2 - 40*h + 912/7 = 0. What is h?
-38, -6, 2
What is q in -4*q**5 + 768*q**4 - 9772*q**3 - 34752*q**2 - 24208*q = 0?
-2, -1, 0, 17, 178
Solve 2*l**5/7 - 70*l**4 + 4526*l**3 - 204934*l**2/7 + 57188*l - 32368 = 0.
1, 2, 4, 119
Factor 2*w**2/9 - 1010*w/3 + 6052/9.
2*(w - 1513)*(w - 2)/9
Factor -t**2/2 + 47*t/2 + 714.
-(t - 68)*(t + 21)/2
Factor -3*z**2 - 1395*z + 35208.
-3*(z - 24)*(z + 489)
Let -36*q**4/7 + 75*q**3 + 3588*q**2/7 + 6087*q/7 + 3060/7 = 0. Calculate q.
-3, -17/12, -1, 20
Factor 2*l**2 + 9010*l + 116792.
2*(l + 13)*(l + 4492)
Determine c, given that c**5/3 + 29*c**4 + 400*c**3 + 4544*c**2/3 = 0.
-71, -8, 0
What is i in -i**3/3 + 772*i**2/3 - 6127*i/3 + 3820 = 0?
3, 5, 764
Suppose -2*b**4/5 + 112*b**3/5 + 318*b**2 + 2836*b/5 + 272 = 0. What is b?
-10, -1, 68
Let 3*d**3/2 - 78474*d**2 - 470871*d/2 = 0. Calculate d.
-3, 0, 52319
Suppose -74*s**5/9 + 4222*s**4/9 + 12944*s**3/9 + 8168*s**2/9 - 160*s/3 = 0. What is s?
-2, -1, 0, 2/37, 60
Suppose -13*t**4/7 + 470*t**3/7 - 755*t**2 + 18820*t/7 - 396 = 0. What is t?
2/13, 7, 11, 18
Find w, given that -w**2/2 + 409862*w - 83993429522 = 0.
409862
What is k in -4*k**2/5 - 271*k/5 + 68/5 = 0?
-68, 1/4
What is q in 46128*q**3/7 + 1616712*q**2/7 + 78147*q/7 + 135 = 0?
-35, -3/124
Factor 7607*u**5/2 + 60855*u**4/4 + 22820*u**3 + 30425*u**2/2 + 7605*u/2 - 1/4.
(u + 1)**4*(15214*u - 1)/4
What is f in 5*f**3 + 2723*f**2 - 9310*f + 3288 = 0?
-548, 2/5, 3
Solve 43*a**2/5 - 554*a/5 - 672/5 = 0 for a.
-48/43, 14
Determine n so that -3*n**4 + 480*n**3 - 3669*n**2 + 3192*n = 0.
0, 1, 7, 152
Find t, given that -5*t**5 - 8150*t**4 + 181515*t**3 - 338560*t**2 + 165200*t = 0.
-1652, 0, 1, 20
Solve -3*n**4 - 1398*n**3 + 2805*n**2 - 1404*n = 0 for n.
-468, 0, 1
Suppose -2*v**3 - 2200*v**2 - 23958*v = 0. Calculate v.
-1089, -11, 0
Find g, given that g**4/5 - 223*g**3/5 - 9066*g**2/5 + 9288*g/5 = 0.
-36, 0, 1, 258
Factor 2*j**4/3 - 51172*j**3/9 + 48490208*j**2/3 - 45941776916*j/3 - 45957942214/9.
2*(j - 2843)**3*(3*j + 1)/9
Factor -2*i**2/15 - 4108*i/15 - 4102/5.
-2*(i + 3)*(i + 2051)/15
Suppose 3*d**4 - 595182*d**3 + 29520134427*d**2 = 0. Calculate d.
0, 99197
Factor -2*w**2/15 - 155972*w/15 - 3040908098/15.
-2*(w + 38993)**2/15
Solve i**3/3 + 6752*i**2/3 + 3801375*i + 7593750 = 0.
-3375, -2
Determine o, given that -4*o**2 + 31735*o + 7934 = 0.
-1/4, 7934
Determine a, given that -3*a**3 + 540*a**2 + 4572*a - 11280 = 0.
-10, 2, 188
Determine g, given that 91476*g**4 + 258192*g**3 + 154788*g**2 + 8680*g + 128 = 0.
-2, -16/21, -1/33
Factor 3*i**2/7 - 1681434*i/7 + 235601691363/7.
3*(i - 280239)**2/7
Solve -2*v**2/11 - 668*v/11 - 1328/11 = 0.
-332, -2
Factor 2*s**2 + 4442*s - 4444.
2*(s - 1)*(s + 2222)
Determine x so that -2*x**2/9 + 28564*x/3 + 28566 = 0.
-3, 42849
Solve 7921*u**2/5 + 5696*u/5 + 1024/5 = 0 for u.
-32/89
Determine d so that -12*d**2 - 27952*d - 9316 = 0.
-2329, -1/3
What is q in 4*q**2 - 45028*q = 0?
0, 11257
Determine l, given that -3*l**2 + 76239*l = 0.
0, 25413
Factor -2*m**2/21 + 3326*m/21 - 24068/7.
-2*(m - 1641)*(m - 22)/21
Find m, given that 8*m**5 + 2*m**4 - 92*m**3 - 158*m**2 - 72*m = 0.
-9/4, -1, 0, 4
Solve -2*m**3/11 - 2342*m**2/11 - 9344*m/11 - 9336/11 = 0.
-1167, -2
Factor -2*f**3 - 154*f**2 - 2720*f + 9600.
-2*(f - 3)*(f + 40)**2
Determine h so that 9*h**4/2 - 3531*h**3/2 + 19557*h**2 - 47898*h - 41148 = 0.
-2/3, 6, 381
Let 2*c**4/15 + 244*c**3/15 - 1904*c**2/5 + 41356*c/15 - 98098/15 = 0. Calculate c.
-143, 7
Factor 4*b**2 - 1428*b + 16560.
4*(b - 345)*(b - 12)
Let 3*i**4 - 135*i**3 + 1137*i**2 + 8775*i + 7500 = 0. Calculate i.
-4, -1, 25
Factor -u**2 + 1858*u - 38577.
-(u - 1837)*(u - 21)
Suppose -87*d**2 - 276837*d/2 - 4773/2 = 0. What is d?
-1591, -1/58
Find c, given that 2*c**4/13 + 4*c**3/13 - 4*c/13 - 2/13 = 0.
-1, 1
Solve -10*m**3 - 506*m**2 + 6304*m - 2440 = 0.
-61, 2/5, 10
Find k, given that -35*k**5 - 25255*k**4 - 64665*k**3 + 32495*k**2 + 100600*k - 43140 = 0.
-719, -2, 3/7, 1
Let -4*h**2 - 1456600*h - 132605222500 = 0. What is h?
-182075
Find w, given that -w**4/4 + 33*w**3/2 + 495*w**2/4 + 289*w + 219 = 0.
-3, -2, 73
What is s in 5*s**3 + 63720*s**2 + 254775*s - 318500 = 0?
-12740, -5, 1
Determine h so that -3*h**2/5 - 1377282*h/5 = 0.
-459094, 0
Factor 5*n**2 + 7210*n - 14440.
5*(n - 2)*(n + 1444)
Determine w, given that 5*w**2 + 465164*w - 93033 = 0.
-93033, 1/5
Factor -2*y**4/9 + 254*y**3/9 + 260*y**2/3.
-2*y**2*(y - 130)*(y + 3)/9
Suppose 4*o**4/9 + 83224*o**3/3 + 3896506036*o**2/9 + 5194342736*o/3 + 15582029584/9 = 0. What is o?
-31207, -2
What is a in -2*a**4/3 + 556*a**3/3 + 2818*a**2/3 + 1132*a = 0?
-3, -2, 0, 283
Suppose 2*u**5/5 - 2042*u**4/5 - 6144*u**3/5 - 8*u**2/5 + 8192*u/5 = 0. What is u?
-2, 0, 1, 1024
Let -h**4 + 4021*h**3/3 - 49181*h**2/3 + 59771*h/3 - 14608/3 = 0. Calculate h.
1/3, 1, 11, 1328
What is i in -28*i**3/5 - 606404*i**2/5 - 779624*i/5 - 173248/5 = 0?
-21656, -1, -2/7
Let -4*u**3 + 13624*u**2 - 68044*u + 81624 = 0. Calculate u.
2, 3, 3401
Let 4*a**4 - 3976*a**3 - 16012*a**2 + 43936*a - 23952 = 0. What is a?
-6, 1, 998
Determine w, given that w**5 + 1735*w**4 + 751687*w**3 - 755159*w**2 - 751688*w + 753424 = 0.
-868, -1, 1
Factor v**3/3 + 61*v**2/3 + 20*v.
v*(v + 1)*(v + 60)/3
Determine t, given that 3*t**3 + 192642*t**2 + 192633*t - 385278 = 0.
-64213, -2, 1
Determine m so that 4*m**4/5 - 30956*m**3/5 - 92896*m**2/5 - 61936*m/5 = 0.
-2, -1, 0, 7742
Factor -j**3/7 - 34530*j**2/7 + 4933*j.
-j*(j - 1)*(j + 34531)/7
Determine o so that o**4/5 - 18857*o**3/5 - 226392*o**2/5 - 679284*o/5 = 0.
-6, 0, 18869
Solve -5*u**3/4 - 19205*u**2/2 + 76835*u/4 - 9605 = 0 for u.
-7684, 1
Factor -186*y**3 + 6692*y**2 - 6366*y - 140.
-2*(y - 35)*(y - 1)*(93*y + 2)
Factor 2*g**2/7 - 26258*g/7 - 105064/7.
2*(g - 13133)*(g + 4)/7
Find s such that s**4/3 + 10*s**3/3 - 36*s**2 + 182*s/3 - 85/3 = 0.
-17, 1, 5
Determine w, given that 2*w**5/13 + 2*w**4/13 - 72*w**3/13 - 136*w**2/13 + 320*w/13 + 384/13 = 0.
-4, -1, 2, 6
Factor o**4 - 741*o**3 + 5144*o**2 - 44