28*j**2 - 75*j = 0.
-1, 0, 1, 3, 25
Suppose -2*i**3 - 18106*i**2 - 40860462*i + 534250314 = 0. What is i?
-4533, 13
Factor -5*a**2 + 9132770*a - 4170374393645.
-5*(a - 913277)**2
What is p in p**3 - 185*p**2 + 6688*p - 68244 = 0?
22, 141
Let 5*c**3 - 300*c**2 - 44195*c - 578550 = 0. Calculate c.
-58, -15, 133
Find w such that 5*w**5 + 1187*w**4 + 5159*w**3 + 7709*w**2 + 4664*w + 932 = 0.
-233, -2, -1, -2/5
Suppose -2*l**4/3 + 136*l**3/3 - 628*l**2/3 - 136*l/3 + 210 = 0. What is l?
-1, 1, 5, 63
Find z, given that -z**2/3 - 6764*z/3 = 0.
-6764, 0
Suppose 3*t**5 - 3630*t**4 + 1112490*t**3 - 8715720*t**2 + 14108475*t - 6501618 = 0. Calculate t.
1, 6, 601
Factor 2*x**2/9 + 11308*x + 143854722.
2*(x + 25443)**2/9
Factor -k**5/7 + 262*k**4/7 - 521*k**3/7 + 260*k**2/7.
-k**2*(k - 260)*(k - 1)**2/7
Find w, given that -2*w**3 - 34*w**2 - 32*w = 0.
-16, -1, 0
Factor -2*w**2 + 607644*w - 46153903842.
-2*(w - 151911)**2
Determine l, given that l**5/3 + 65*l**4/3 + 93*l**3 - 1345*l**2/3 - 5000*l/3 + 2000 = 0.
-60, -5, 1, 4
Let w**2/9 - 11419*w/3 - 34258/9 = 0. Calculate w.
-1, 34258
Factor -i**4/4 - 249*i**3/2 - 15624*i**2 - 30752*i.
-i*(i + 2)*(i + 248)**2/4
Determine j so that -2*j**2/3 - 6926*j + 20780/3 = 0.
-10390, 1
Suppose -u**5/7 + 292*u**4/7 - 7613*u**3/7 + 58682*u**2/7 - 89232*u/7 = 0. Calculate u.
0, 2, 13, 264
Factor -w**4/4 + 5619*w**3 - 62842167*w**2/2 - 1709046945*w - 92510264025/4.
-(w - 11265)**2*(w + 27)**2/4
What is j in -3*j**3 + 13293*j**2 + 26595*j + 13299 = 0?
-1, 4433
Determine w, given that -2*w**3/5 - 1556*w**2/5 + 3142*w - 7880 = 0.
-788, 5
What is i in 5*i**3 - 497215*i**2 - 994450*i = 0?
-2, 0, 99445
Let c**3 - 759504*c**2 = 0. What is c?
0, 759504
Determine v, given that 4*v**2/3 + 20*v/3 - 8624/3 = 0.
-49, 44
Solve -5*o**3 - 630*o**2 - 8245*o + 8880 = 0 for o.
-111, -16, 1
Factor 2*f**2/17 - 576*f/17 + 4480/17.
2*(f - 280)*(f - 8)/17
Find q, given that 4*q**2 + 80456*q + 404572996 = 0.
-10057
Solve -4*f**4 + 28216*f**3 + 197652*f**2 + 395384*f + 225952 = 0.
-4, -2, -1, 7061
Determine z, given that 6*z**2/5 + 49872*z/5 - 49902 = 0.
-8317, 5
Determine l so that -3*l**5 + 11*l**4/2 + 364*l**3 + 3709*l**2/2 + 2819*l + 420 = 0.
-5, -4, -3, -1/6, 14
Factor -3*n**2/2 - 192477*n - 12349131843/2.
-3*(n + 64159)**2/2
Let t**5/2 + 647*t**4/4 + 24113*t**3/2 - 73475*t**2/4 + 6150*t = 0. Calculate t.
-205, -120, 0, 1/2, 1
Find s such that -s**3/3 + 35*s**2/3 + 16*s - 144 = 0.
-4, 3, 36
Solve 3*x**5 + 5502*x**4 - 9*x**3 - 16512*x**2 - 11004*x = 0 for x.
-1834, -1, 0, 2
Suppose -238328*n**5 + 334428*n**4 + 796886*n**3 - 1313323*n**2 + 625704*n - 97556 = 0. Calculate n.
-2, 29/62, 2
Find q, given that 6*q**5/5 - 1227*q**4/5 + 1791*q**3/5 + 7329*q**2/5 - 849*q - 3654/5 = 0.
-2, -1/2, 1, 3, 203
Suppose -5*m**4 - 1510*m**3 - 125320*m**2 - 1691690*m - 3987555 = 0. What is m?
-143, -13, -3
Solve -11*a**5 + 1489*a**4/4 + 10403*a**3/4 - 2443*a**2/4 - 10359*a/4 + 477/2 = 0 for a.
-6, -1, 1/11, 1, 159/4
Factor -3*g**2 - 696*g - 37845.
-3*(g + 87)*(g + 145)
Suppose u**2/3 + 6760*u/3 + 9008 = 0. Calculate u.
-6756, -4
What is u in u**4/10 - 504*u**3/5 + 154791*u**2/5 - 14002632*u/5 + 771895089/10 = 0?
63, 441
Factor 2*i**2 - 434*i + 432.
2*(i - 216)*(i - 1)
Factor -c**2 + 119*c - 3468.
-(c - 68)*(c - 51)
Factor 52*r**3 + 35904*r**2 + 1439172*r + 14870520.
4*(r + 21)**2*(13*r + 8430)
Solve -2*h**2/3 - 2204*h - 91392 = 0 for h.
-3264, -42
Factor y**4/6 + 1281*y**3/2 - 1283*y**2 - 15380*y/3.
y*(y - 4)*(y + 2)*(y + 3845)/6
Factor -p**2/3 - 4085*p/3 - 4084/3.
-(p + 1)*(p + 4084)/3
Factor -t**3 + 15831*t**2 + 63336*t + 63340.
-(t - 15835)*(t + 2)**2
Let -3*x**5 - 990*x**4 + 88236*x**3 - 1758792*x**2 = 0. Calculate x.
-406, 0, 38
Factor -2*s**4 - 7*s**3/3 + 4*s**2/3 + 5*s/3.
-s*(s + 1)**2*(6*s - 5)/3
Determine y, given that -3*y**4 - 1521*y**3 - 199491*y**2 - 1694943*y - 2604042 = 0.
-249, -7, -2
Factor j**4 - 95*j**3 - 198*j**2 + 380*j + 776.
(j - 97)*(j - 2)*(j + 2)**2
Factor -4*y**3/9 + 1256*y**2/9 - 107876*y/9 + 1420864/9.
-4*(y - 149)**2*(y - 16)/9
Suppose 2*j**3/15 + 106*j**2/3 + 12766*j/15 + 80782/15 = 0. What is j?
-239, -13
Solve -2*j**3/13 + 5724*j**2/13 - 11442*j/13 + 440 = 0.
1, 2860
Determine z, given that -28*z**3 + 2256*z**2 - 5580*z - 2808 = 0.
-3/7, 3, 78
Factor 481888*k**3 + 12048976*k**2 + 488418*k/11 + 450/11.
2*(k + 25)*(1628*k + 3)**2/11
Factor -j**3/8 - 3205*j**2/8 - 1601*j - 3201/2.
-(j + 2)**2*(j + 3201)/8
Determine a, given that 2*a**3 + 59326*a**2 + 439976446*a + 439917122 = 0.
-14831, -1
Factor 2*z**2/5 - 32026*z/5 - 44856.
2*(z - 16020)*(z + 7)/5
Factor -5*y**4 + 31440*y**3 - 49455110*y**2 + 98815920*y - 49392245.
-5*(y - 3143)**2*(y - 1)**2
Find f, given that 3*f**5/4 - 2727*f**4/4 + 152520*f**3 + 1095753*f**2 + 1269576*f - 2517168 = 0.
-4, 1, 458
Solve -34*x**5/13 + 548*x**4/13 - 3090*x**3/13 + 6952*x**2/13 - 4856*x/13 + 480/13 = 0.
2/17, 1, 4, 5, 6
Let 26*v**3 - 24*v**2 - 950*v - 900 = 0. Calculate v.
-5, -1, 90/13
Suppose 2*y**4/3 + 224*y**3 - 1132*y**2 + 4768*y/3 - 682 = 0. What is y?
-341, 1, 3
Factor -5*n**3 - 1310*n**2 + 178205*n - 176890.
-5*(n - 98)*(n - 1)*(n + 361)
Let 2*d**2/17 + 44208*d/17 + 244293408/17 = 0. Calculate d.
-11052
What is d in d**3 - 44*d**2 - 259*d + 686 = 0?
-7, 2, 49
Find x, given that -2*x**3/7 - 94*x**2/7 + 108*x/7 + 576/7 = 0.
-48, -2, 3
Factor -4*u**2 - 90772*u.
-4*u*(u + 22693)
Solve 314*b**4/3 + 56100*b**3 + 7682342*b**2 + 132010280*b/3 - 561800 = 0 for b.
-265, -6, 2/157
Factor j**3 - 174*j**2 + 344*j.
j*(j - 172)*(j - 2)
Find r, given that 16*r**4 + 260*r**3 - 201*r**2 + 203*r/4 - 17/4 = 0.
-17, 1/4
Determine z, given that -2*z**3/13 - 42*z**2/13 - 232*z/13 - 24 = 0.
-13, -6, -2
Factor -2*d**2/15 + 44*d/3 + 304/5.
-2*(d - 114)*(d + 4)/15
Determine g, given that 49*g**4 - 450534*g**3 + 1158252*g**2 - 551528*g + 73536 = 0.
2/7, 2, 9192
Suppose -3*c**5/2 + 6581*c**4/2 - 67501*c**3 + 299643*c**2 + 1003805*c/2 + 262933/2 = 0. What is c?
-1, -1/3, 11, 2173
Suppose -970225*d**5 + 756480*d**4 + 1373975*d**3 - 1136610*d**2 - 23500*d - 120 = 0. What is d?
-6/5, -2/197, 1
Factor 2*n**2 + 2650260*n + 877984758450.
2*(n + 662565)**2
What is g in -2*g**5/5 + 2144*g**4/5 + 2162*g**3/5 - 17144*g**2/5 - 25752*g/5 = 0?
-2, 0, 3, 1073
Factor s**3/5 + 237*s**2/5 + 18648*s/5 + 486864/5.
(s + 69)*(s + 84)**2/5
Suppose 149*a**2 - 69731*a - 468 = 0. Calculate a.
-1/149, 468
Factor 2*q**2 + 1133144*q + 160501915592.
2*(q + 283286)**2
Let 4*r**4 + 52*r**3 + 68*r**2 - 1300*r - 4200 = 0. Calculate r.
-7, -6, -5, 5
What is r in -2*r**4 + 492*r**3 - 21942*r**2 - 70308*r = 0?
-3, 0, 63, 186
Factor -t**3 + 301*t**2 - 298*t - 600.
-(t - 300)*(t - 2)*(t + 1)
Factor 3*d**3 + 126*d**2 + 123*d.
3*d*(d + 1)*(d + 41)
Let -2*t**5/13 + 320*t**4/13 + 16986*t**3/13 + 197152*t**2/13 - 16984*t/13 - 197472/13 = 0. Calculate t.
-22, -1, 1, 204
Determine k so that 3*k**4 + 993*k**3/7 + 11370*k**2/7 - 8928*k/7 - 3456/7 = 0.
-24, -2/7, 1
Determine x so that 2*x**5 - 6566*x**4 - 4*x**3 + 13132*x**2 + 2*x - 6566 = 0.
-1, 1, 3283
Solve -2*l**3/3 - 130*l**2 + 2000*l/3 = 0.
-200, 0, 5
Determine n, given that -n**4 + 329*n**3 + 1041*n**2 - 15021*n + 26892 = 0.
-9, 3, 332
Find w such that 2*w**3/7 + 1550*w**2/7 + 12304*w/7 + 24544/7 = 0.
-767, -4
Factor 2*l**3/11 + 78*l**2/11 + 52*l/11 - 3552/11.
2*(l - 6)*(l + 8)*(l + 37)/11
Factor 2*x**5 + 1010*x**4 + 169322*x**3 + 9302774*x**2 - 20678164*x - 77228944.
2*(x - 4)*(x + 2)*(x + 169)**3
Solve -2*l**5 - 3412*l**4 + 288696*l**3 - 8066628*l**2 + 78167754*l - 70386408 = 0 for l.
-1788, 1, 27
Let l**5/6 - 19*l**4/3 + 455*l**3/6 - 935*l**2/3 + 494*l - 252 = 0. Calculate l.
1, 2, 3, 14, 18
Determine r, given that r**4/2 - 170*r**3/3 + 9511*r**2/6 + 1235*r - 4332 = 0.
-2, 4/3, 57
Factor 4*m**5 - 59952*m**4 + 224760000*m**3 - 898081024*m**2.
4*m**2*(m - 7492)**2*(m - 4)
Factor 595125*h**3 + 5958150*h**2 + 69020*h + 200.
5*(h + 10)*(345*h + 2)**2
Factor -2*w**2/13 - 41440*w/13 - 214659200/13.
-2*(w + 10360)**2/13
Find z, given that -z**4/2 + 153*z**3/2 - 2718*z**2 - 23166*z + 547560 = 0.
-15, 12, 78
Solve -24*v**3/13 + 3370*v**2/13 - 5566*v/13 + 2220/13 = 0 for v.
2/3, 1, 555/4
Factor -5*l**3 - 42790*l**2 + 299865*l + 770850.
-5*(l - 9)*(l + 2)*(l + 8565)
Solve n**4/5 - 8*n**3 + 87*n**2/5 + 9648*n/5 - 1209