4
Factor -n**2 - 15499*n + 77520.
-(n - 5)*(n + 15504)
Find i, given that 3*i**3 + 2499*i**2 + 137373*i + 1955325 = 0.
-775, -29
Suppose m**5/3 - m**4/3 - 83*m**3/3 + 281*m**2/3 + 82*m/3 - 280/3 = 0. Calculate m.
-10, -1, 1, 4, 7
Factor -196*f**3 - 100936*f**2 + 2060*f.
-4*f*(f + 515)*(49*f - 1)
Let -3*x**2/8 + 899625*x/4 = 0. What is x?
0, 599750
Solve 2*m**3/17 + 1532*m**2/17 + 7136*m - 248768/17 = 0 for m.
-676, -92, 2
Suppose -15*a**5 + 3321*a**4 - 1221*a**3 - 23337*a**2 + 29208*a - 7956 = 0. What is a?
-3, 2/5, 1, 2, 221
Factor -4*m**4/5 + 168*m**3 - 33892*m**2/5 - 214368*m - 6512704/5.
-4*(m - 116)**2*(m + 11)**2/5
Suppose j**5/3 + 59*j**4 - 184*j**3/3 - 356*j**2 = 0. What is j?
-178, -2, 0, 3
Suppose 5*s**4/2 + 1117*s**3/2 + 556*s**2 = 0. What is s?
-1112/5, -1, 0
Factor 2*t**3/5 + 26*t**2 + 2056*t/5 + 9152/5.
2*(t + 8)*(t + 13)*(t + 44)/5
Suppose -3*j**5 - 786*j**4 - 3090*j**3 + 1584*j**2 + 9261*j - 6966 = 0. What is j?
-258, -3, 1
Factor 2*w**4/9 - 62*w**3/9 - 2*w**2/9 + 62*w/9.
2*w*(w - 31)*(w - 1)*(w + 1)/9
Factor -4*r**2 - 36512*r - 364720.
-4*(r + 10)*(r + 9118)
Find v, given that -2*v**2/7 - 100*v/7 - 528/7 = 0.
-44, -6
Factor -q**3/4 - 199*q**2/4 + 414*q.
-q*(q - 8)*(q + 207)/4
What is j in 20*j**3 + 6052*j**2 + 100176*j - 41040 = 0?
-285, -18, 2/5
Let -3*u**3/2 + 165*u**2/2 + 13875*u/2 + 196875/2 = 0. What is u?
-25, 105
Suppose -s**2/6 - 3385*s/3 - 33800/3 = 0. What is s?
-6760, -10
Factor -5*j**4 + 210*j**3 + 7025*j**2 + 29250*j.
-5*j*(j - 65)*(j + 5)*(j + 18)
Factor h**4/6 + 10*h**3/3 + 41*h**2/2 + 140*h/3 + 88/3.
(h + 1)*(h + 4)**2*(h + 11)/6
Factor 2*u**3 + 5836*u**2 + 23318*u + 17484.
2*(u + 1)*(u + 3)*(u + 2914)
Find d, given that 3*d**5/2 - 477*d**4/2 + 1623*d**3 - 4134*d**2 + 4572*d - 1824 = 0.
1, 2, 152
Let -w**4/12 + 89*w**3/6 + 1219*w**2/4 + 8419*w/6 + 5122/3 = 0. What is w?
-13, -4, -2, 197
What is d in -d**3/5 + 84*d**2/5 - 1343*d/5 + 252 = 0?
1, 20, 63
Factor -2*s**3 - 14754*s**2 - 117936*s - 235808.
-2*(s + 4)**2*(s + 7369)
Suppose 3*j**4/4 + 1939*j**3 - 9060*j**2 + 12948*j - 5180 = 0. Calculate j.
-2590, 2/3, 2
Determine d, given that -5*d**2 + 3520*d + 17725 = 0.
-5, 709
Let -6*t**3/5 - 2108*t**2 - 70024*t/5 - 8400 = 0. What is t?
-1750, -6, -2/3
Suppose -28*y**4/11 - 22530*y**3/11 - 4516834*y**2/11 + 6163482*y/11 - 1624090/11 = 0. What is y?
-403, 5/14, 1
Factor 1841104587*p**2/4 + 74319*p + 3.
3*(24773*p + 2)**2/4
Determine f so that 36*f**4 - 1140*f**3 - 6575*f**2 + 456250*f - 3125000 = 0.
-20, 10, 125/6
Determine i, given that -4*i**5 + 1624*i**4 - 168052*i**3 + 652848*i**2 - 646416*i = 0.
0, 2, 201
Factor 5*w**2 - 187840*w + 1764193280.
5*(w - 18784)**2
Determine q, given that 14*q**5 + 11554*q**4/11 - 47748*q**3/11 + 47416*q**2/11 + 1264*q/11 = 0.
-79, -2/77, 0, 2
Factor -4*o**5/3 + 2851724*o**4/3 - 225897732368*o**3 + 53682788913495104*o**2/3 + 53683466609543936*o/3.
-4*o*(o - 237644)**3*(o + 1)/3
Factor -3*b**2/7 + 1326*b/7 - 1305.
-3*(b - 435)*(b - 7)/7
Factor -5*p**4 + 4180*p**3 - 85575*p**2.
-5*p**2*(p - 815)*(p - 21)
Factor 2*m**2 + 6288*m + 6286.
2*(m + 1)*(m + 3143)
Determine s so that -s**3/3 + 148*s**2/3 + 941*s - 990 = 0.
-18, 1, 165
Solve -c**5/5 + 44*c**4/5 - 427*c**3/5 - 548*c**2 + 36932*c/5 + 7840 = 0.
-8, -1, 14, 25
Factor 8*t**3/5 + 13226*t**2/5 + 3304*t.
2*t*(t + 1652)*(4*t + 5)/5
Determine a, given that -a**4/2 - 663*a**3/2 - 2637*a**2/2 - 653*a/2 + 1977 = 0.
-659, -3, -2, 1
Let v**5 - 326*v**4 + 22016*v**3 + 738080*v**2 + 5846016*v + 8921088 = 0. Calculate v.
-12, -2, 176
Factor 27*d**5 + 414*d**4 + 1587*d**3.
3*d**3*(3*d + 23)**2
Factor -3*o**3/7 - 94116*o**2/7.
-3*o**2*(o + 31372)/7
Solve 2*p**4 + 1596*p**3 - 187920*p**2 - 410996700*p - 83465255250 = 0 for p.
-435, 507
Determine a, given that -25*a**5 + 1980*a**4 + 18830*a**3 + 46380*a**2 + 22955*a - 6600 = 0.
-5, -3, -1, 1/5, 88
What is m in -206*m**2 - 7816*m + 456 = 0?
-38, 6/103
Let 4*x**2/7 - 18840*x + 131876/7 = 0. What is x?
1, 32969
Let 4*v**3/3 - 8*v**2 - 1876*v/3 - 3528 = 0. Calculate v.
-14, -7, 27
Find p such that -4*p**4 + 9564*p**3 - 28668*p**2 + 28660*p - 9552 = 0.
1, 2388
Let -5*y**2 + 10640*y - 5660480 = 0. Calculate y.
1064
Factor -92*c**2 - 1312*c + 2992.
-4*(c - 2)*(23*c + 374)
Factor -937*y**3/3 - 16867*y**2/3 - 6*y.
-y*(y + 18)*(937*y + 1)/3
Factor 4*b**3 + 260*b**2 - 1092*b + 828.
4*(b - 3)*(b - 1)*(b + 69)
Factor 147*m**2 + 188*m + 41.
(m + 1)*(147*m + 41)
Factor -5*j**2 - 12995*j - 562100.
-5*(j + 44)*(j + 2555)
Factor -2*r**2/7 - 49380*r/7 - 7054.
-2*(r + 1)*(r + 24689)/7
Solve -2*q**3 - 47676*q**2 - 95344*q = 0.
-23836, -2, 0
Let -5*g**3 + 14435*g**2 + 1939925*g + 63734125 = 0. Calculate g.
-65, 3017
Factor -t**4/2 + 69*t**3/2 - 87*t**2 - 832*t + 2640.
-(t - 66)*(t - 4)**2*(t + 5)/2
Find a, given that 4*a**2/5 + 8184*a/5 - 16384/5 = 0.
-2048, 2
Determine n, given that 4*n**2 - 72047*n = 0.
0, 72047/4
Find t such that -t**4 + 1446*t**3 + 2899*t**2 - 4344*t = 0.
-3, 0, 1, 1448
Let 2*f**2/5 + 38660*f + 934122250 = 0. What is f?
-48325
Let 2*q**5 + 58*q**4 - 290*q**3 - 12466*q**2 - 16320*q + 163800 = 0. What is q?
-26, -15, -5, 3, 14
Factor -2*v**2/7 - 785156*v/7 - 77058743042/7.
-2*(v + 196289)**2/7
Factor -43*f**4/9 + 254*f**3/9 + 284*f**2 + 5800*f/9 + 4096/9.
-(f + 2)**3*(43*f - 512)/9
Let -4*a**5/9 + 212*a**4/9 + 1172*a**3 - 10964*a**2/9 - 10544*a/9 + 3584/3 = 0. What is a?
-32, -1, 1, 84
Factor -2*q**3/9 - 5980*q**2/9 - 58450*q - 1305000.
-2*(q + 45)**2*(q + 2900)/9
Factor -z**2 - 796*z - 1588.
-(z + 2)*(z + 794)
What is o in o**5/2 + 69*o**4/2 + 820*o**3 + 7858*o**2 + 28704*o + 21632 = 0?
-26, -8, -1
Suppose 4*g**3/5 - 6962*g**2/5 + 31268*g/5 - 6944 = 0. Calculate g.
2, 5/2, 1736
Factor 4*z**2 - 1428*z - 13176.
4*(z - 366)*(z + 9)
Determine h, given that -4*h**5 + 3528*h**4 - 745440*h**3 - 14364224*h**2 - 48398400*h - 45360000 = 0.
-14, -2, 450
Suppose -m**2/5 + 312832*m/5 + 625668/5 = 0. What is m?
-2, 312834
Factor 2*g**4 - 9922*g**3 + 12300798*g**2 + 12310722*g.
2*g*(g - 2481)**2*(g + 1)
Factor -k**3/3 + 25822*k**2/3 + 154960*k/3 + 206624/3.
-(k - 25828)*(k + 2)*(k + 4)/3
Determine p so that 1681*p**3/4 + 838983*p**2/4 + 20460*p + 499 = 0.
-499, -2/41
Factor -3*l**2 - 854529*l - 854526.
-3*(l + 1)*(l + 284842)
Suppose -5*p**5 + 390*p**4 + 10*p**3 - 780*p**2 - 5*p + 390 = 0. Calculate p.
-1, 1, 78
Solve -4*g**2/9 + 122*g + 9622/9 = 0 for g.
-17/2, 283
Determine d so that 2*d**5 + 22*d**4 - 356*d**3 + 1268*d**2 - 1566*d + 630 = 0.
-21, 1, 3, 5
Determine t so that -5*t**3 + 4595*t**2 + 1784825*t + 147633625 = 0.
-155, 1229
Solve -5*x**4 + 40*x**3 + 4595*x**2 + 4550*x = 0 for x.
-26, -1, 0, 35
Solve -111*p**2 - 2064*p - 1188 = 0.
-18, -22/37
Determine p, given that -2*p**5/7 + 4*p**4/7 + 62*p**3/7 + 8*p**2 = 0.
-4, -1, 0, 7
Let -3*t**3 + 258*t**2 - 5115*t = 0. What is t?
0, 31, 55
Solve 5*d**2 + 17865*d + 71380 = 0 for d.
-3569, -4
What is l in 5*l**2 - 676930*l + 22911711245 = 0?
67693
What is c in -c**3 + 2317*c**2 - 11566*c + 13872 = 0?
2, 3, 2312
Let x**3/3 - 1345*x**2/3 + 156341*x - 16307733 = 0. What is x?
237, 871
Determine m, given that 27*m**4 + 1371*m**3 + 10467*m**2 - 14571*m + 2706 = 0.
-41, -11, 2/9, 1
Suppose -2*r**2 - 112*r + 8232 = 0. Calculate r.
-98, 42
Determine f, given that -f**3/2 - 543*f**2/2 - 5355*f/2 - 13325/2 = 0.
-533, -5
Factor 3*b**2 - 300*b + 7392.
3*(b - 56)*(b - 44)
Factor 3*x**3/4 + 3717*x**2/4 + 16605*x/2.
3*x*(x + 9)*(x + 1230)/4
Factor -4*f**3/5 - 4136*f**2/5 + 92444*f/5 - 511104/5.
-4*(f - 11)**2*(f + 1056)/5
Let -4*i**3 + 804*i**2 + 9288*i + 8480 = 0. Calculate i.
-10, -1, 212
Solve -4208*t**4 - 60*t**3 = 0 for t.
-15/1052, 0
Factor m**3 + 1863*m**2 + 42296*m - 44160.
(m - 1)*(m + 24)*(m + 1840)
Suppose -4*k**2 + 872*k + 26460 = 0. Calculate k.
-27, 245
Solve -10*y**3 + 11665*y**2 + 5840*y - 5835 = 0 for y.
-1, 1/2, 1167
Let j**2/2 + 87077*j + 7582403929/2 = 0. Calculate j.
-87077
Determine t so that -15*t**4 + 441*t**3 + 12996*t**2 + 19212*t - 9792 = 0.
-17, -2, 2/5, 48
Factor d**2 - 1856398*d/7 - 530400/7.
(d - 265200)*(7*d + 2)/7
Factor k**4 - 511*k**3 + 26331*k**2 - 25821*k.
k*(k - 453)*(k - 57)*(k - 1)
Factor -y**3/2 - 94*y**2 - 187*y/2.
-y*(y + 1)*(y + 187)/2
Determine i so that -560*i**4 - 15480*i**3 - 53595*i**2 + 107460*i - 43740 = 0.
-162/7, -6, 3/4
So