61, 2/9, 3
Suppose m**3/7 - 37614*m**2/7 + 353740860*m/7 - 707331272/7 = 0. Calculate m.
2, 18806
Factor -x**2 + 6666*x.
-x*(x - 6666)
Determine r so that -45*r**4/2 + 4340*r**3 + 160265*r**2/2 + 150600*r + 15750 = 0.
-15, -2, -1/9, 210
Factor -c**2 + 155*c - 894.
-(c - 149)*(c - 6)
Factor 4*r**3 - 7252*r**2 - 14516*r - 7260.
4*(r - 1815)*(r + 1)**2
Find h such that -h**4/3 + 377*h**3/3 - 15850*h**2 + 2037100*h/3 - 3887000/3 = 0.
2, 115, 130
Factor 4*n**2 + 2888*n - 20412.
4*(n - 7)*(n + 729)
Find x, given that -5*x**3 - 75320*x**2 - 283956160*x - 2266831360 = 0.
-7528, -8
Factor 3*v**2 - 158760*v + 2100394800.
3*(v - 26460)**2
Suppose -3*k**2 - 5208*k - 46629 = 0. Calculate k.
-1727, -9
Suppose -5*s**2 + 360*s + 3645 = 0. Calculate s.
-9, 81
Find x such that 46*x**3/3 - 142696*x**2/3 + 36890018*x - 3207468 = 0.
2/23, 1551
Solve -f**5 - 3049*f**4 - 9132*f**3 + 18284*f**2 + 24368*f = 0.
-3046, -4, -1, 0, 2
Factor s**2 - 269*s + 3570.
(s - 255)*(s - 14)
Determine c, given that -5*c**3 + 480*c**2 + 226575*c + 12905750 = 0.
-95, 286
Determine i, given that -3*i**2 + 78390*i + 235197 = 0.
-3, 26133
Solve 5*i**4 - 1520*i**3 + 7485*i**2 - 2950*i - 11960 = 0.
-1, 2, 4, 299
Factor r**4/7 + 88*r**3/7 + 1311*r**2/7 - 2376*r.
r*(r - 8)*(r + 33)*(r + 63)/7
Factor m**4/3 + 95*m**3/3 + 794*m**2/3 + 1720*m/3.
m*(m + 4)*(m + 5)*(m + 86)/3
Factor l**3/5 - 428*l**2/5 + 38271*l/5 + 7740.
(l - 300)*(l - 129)*(l + 1)/5
Find d, given that 2*d**2/13 + 425148*d/13 + 22593852738/13 = 0.
-106287
Factor -3*k**3 + 156669*k**2 + 626712*k + 626724.
-3*(k - 52227)*(k + 2)**2
Suppose -3*a**5/5 + 237*a**4/5 - 4653*a**3/5 + 19383*a**2/5 - 5808*a + 14076/5 = 0. Calculate a.
1, 2, 23, 51
Factor 5*j**3 + 11*j**2/3.
j**2*(15*j + 11)/3
Let -5*o**2 + 305410*o - 4663763405 = 0. Calculate o.
30541
Factor u**4/5 - 214*u**3/5 - 12*u**2/5 + 2552*u/5 + 3424/5.
(u - 214)*(u - 4)*(u + 2)**2/5
Determine p so that -2*p**4/19 - 298*p**3/19 - 11426*p**2/19 - 16206*p/19 + 575532/19 = 0.
-73, -9, 6
Factor -5*y**2 - 1650*y - 65320.
-5*(y + 46)*(y + 284)
Factor 15*d**3 + 1040*d**2 - 4315*d - 21900.
5*(d + 3)*(d + 73)*(3*d - 20)
What is n in n**5/2 - 769*n**4/2 + 72943*n**3 + 379457*n**2 - 1952415*n/2 + 1048383/2 = 0?
-7, 1, 387
Factor 2*z**3/5 - 638*z**2/5 + 3148*z/5 - 2512/5.
2*(z - 314)*(z - 4)*(z - 1)/5
Find c, given that -5*c**4 - 290*c**3 - 3225*c**2 = 0.
-43, -15, 0
Suppose 3*v**5 + 315*v**4 - 9999*v**3 + 32433*v**2 + 497376*v + 905472 = 0. What is v?
-131, -3, 16
Factor -2*c**2/5 + 194*c + 171948/5.
-2*(c - 623)*(c + 138)/5
Find c such that 93*c**2 + 664*c = 0.
-664/93, 0
Suppose -p**2 - 8220*p - 24651 = 0. What is p?
-8217, -3
Let u**2 - 12748*u = 0. Calculate u.
0, 12748
Solve 5*q**3 + 5320*q**2 + 15925*q + 10610 = 0.
-1061, -2, -1
Factor -2*x**3/3 + 544*x**2/3 + 1126*x/3 - 2740.
-2*(x - 274)*(x - 3)*(x + 5)/3
Find o, given that -4*o**5 + 3824*o**4 - 870420*o**3 - 21042648*o**2 = 0.
-22, 0, 489
Factor h**2 + 98*h - 5880.
(h - 42)*(h + 140)
Factor 12*m**2 - 31377*m - 7845.
3*(m - 2615)*(4*m + 1)
Determine x, given that 6*x**4/5 - 304*x**3/5 + 184*x**2/5 + 160*x = 0.
-4/3, 0, 2, 50
Determine h so that 10*h**3/3 - 1467365*h**2/6 - 550270*h/3 + 366845/6 = 0.
-1, 1/4, 73369
Solve -3*m**5 - 2550*m**4 + 2568*m**3 + 12774*m**2 + 7659*m = 0.
-851, -1, 0, 3
Let 2*n**4/5 - 178*n**3/5 + 334*n**2/5 + 242*n + 696/5 = 0. What is n?
-1, 4, 87
Factor -2*s**2/5 - 1549824*s/5 - 300244303872/5.
-2*(s + 387456)**2/5
Factor -3*x**2/5 - 93144*x/5 - 722983728/5.
-3*(x + 15524)**2/5
Solve -3*d**2 + 1029747*d - 1029744 = 0.
1, 343248
Let -11*n**2/3 + 8408*n - 9168 = 0. Calculate n.
12/11, 2292
Factor 5*j**3 + 17705*j**2 - 35425*j + 17715.
5*(j - 1)**2*(j + 3543)
Determine v, given that 3*v**2 + 315*v - 4212 = 0.
-117, 12
What is v in -3*v**4 - 402*v**3 - 768*v**2 + 3168*v = 0?
-132, -4, 0, 2
Determine c so that -3*c**4 - 7461*c**3 + 218247*c**2 - 1621395*c + 3585300 = 0.
-2516, 5, 19
Find a such that -2968*a**5 + 7436*a**4 - 40*a**3 - 7420*a**2 + 3008*a - 16 = 0.
-1, 2/371, 1/2, 1, 2
Find q, given that 2*q**3/9 - 154*q**2/3 - 80738*q/9 + 9022 = 0.
-117, 1, 347
Solve -z**3/5 + 339*z**2/5 + 552*z + 5552/5 = 0 for z.
-4, 347
Determine r, given that 6*r**4 + 3657*r**3 + 9117*r**2 + 7287*r + 1821 = 0.
-607, -1, -1/2
Factor -2*n**2/3 - 312*n - 23250.
-2*(n + 93)*(n + 375)/3
Factor -4*a**3 - 26552*a**2 - 44116100*a - 176039824.
-4*(a + 4)*(a + 3317)**2
Determine k so that -27*k**5 - 2358*k**4 + 11409*k**3 - 16752*k**2 + 7716*k - 1104 = 0.
-92, 1/3, 2
Factor k**5/4 + 29*k**4/4 - 33*k**3/4 - 85*k**2/4 + 37*k - 15.
(k - 1)**3*(k + 2)*(k + 30)/4
Factor x**2/3 + 2332*x/3 + 11585.
(x + 15)*(x + 2317)/3
Solve 2*x**4 + 120*x**3 + 2100*x**2 + 10120*x - 12342 = 0 for x.
-33, -17, -11, 1
Determine s so that -4*s**2/9 + 13624*s/9 + 258496/3 = 0.
-56, 3462
Let -4*u**5 + 48*u**4 + 400*u**3 + 600*u**2 - 396*u - 648 = 0. Calculate u.
-3, -1, 1, 18
Factor -3*m**2 - 10500*m + 21012.
-3*(m - 2)*(m + 3502)
Find c, given that 10*c**3/9 + 107386*c**2/9 + 64424*c/9 - 42952/9 = 0.
-10738, -1, 2/5
Suppose -159*i**3 + 1902*i**2 - 5652*i - 216 = 0. What is i?
-2/53, 6
Factor u**2/5 - 50476*u/5 + 353283/5.
(u - 50469)*(u - 7)/5
Factor i**2/8 + 5341*i/8 - 2004.
(i - 3)*(i + 5344)/8
Factor -2*f**4/9 - 3880*f**3/3 - 80892*f**2 - 1694616*f - 11847906.
-2*(f + 21)**3*(f + 5757)/9
Factor 3*s**3 + 348*s**2 + 6549*s - 6900.
3*(s - 1)*(s + 25)*(s + 92)
Factor -2*u**3 - 380*u**2 - 9712*u - 17920.
-2*(u + 2)*(u + 28)*(u + 160)
Factor 2*r**2 - 78772*r + 775628498.
2*(r - 19693)**2
Suppose -l**3 + 794*l**2 - 173625*l + 6187500 = 0. What is l?
44, 375
Factor 3*i**3 - 6786*i**2 + 20337*i - 13554.
3*(i - 2259)*(i - 2)*(i - 1)
Factor 4*k**3 + 34344*k**2 + 68640*k - 274688.
4*(k - 2)*(k + 4)*(k + 8584)
Solve -h**2 - 844*h + 6816 = 0.
-852, 8
Factor 4*x**2 + 676*x + 27720.
4*(x + 70)*(x + 99)
Let 7*i**5 - 3152*i**4 + 355247*i**3 - 88642*i**2 - 1421100*i + 405000 = 0. What is i?
-2, 2/7, 2, 225
Solve n**3/7 + 1066*n**2/7 + 4248*n/7 = 0.
-1062, -4, 0
Solve 113569*y**4/4 - 2385623*y**3/2 + 50140549*y**2/4 - 148659*y + 441 = 0.
2/337, 21
Determine f, given that -4*f**3 - 4276*f**2 + 457600*f - 11690000 = 0.
-1169, 50
What is a in -2*a**5 + 70*a**4 + 394*a**3 + 250*a**2 - 392*a - 320 = 0?
-4, -1, 1, 40
What is g in -5*g**3 + 2795*g**2 + 37250*g - 40040 = 0?
-14, 1, 572
Factor 2*u**2/11 - 2996*u/11 + 940800/11.
2*(u - 1050)*(u - 448)/11
Factor 2*t**4/3 + 5038*t**3.
2*t**3*(t + 7557)/3
Let -3*n**2 + 105984*n = 0. Calculate n.
0, 35328
Factor v**2/2 - 7653*v/2 - 3827.
(v - 7654)*(v + 1)/2
Factor -b**4/6 - 167*b**3/6 - 7357*b**2/6 - 10179*b/2 + 15309.
-(b - 2)*(b + 7)*(b + 81)**2/6
Solve 2*x**5/9 - 16178*x**4/9 + 4843808*x**3 - 39060111536*x**2/9 - 196654975264*x/9 + 78557169568/3 = 0.
-6, 1, 2698
Factor -c**3/5 + 448*c**2/5 - 1764*c/5 - 5328/5.
-(c - 444)*(c - 6)*(c + 2)/5
Find j, given that 5*j**2 + 170*j + 165 = 0.
-33, -1
Suppose 3*f**3 + 144147*f**2 + 288285*f + 144141 = 0. What is f?
-48047, -1
Factor 2*f**3 + 692*f**2 + 20270*f + 54636.
2*(f + 3)*(f + 29)*(f + 314)
Determine d, given that -8*d**5 + 3292*d**4 + 8340*d**3 - 24800*d**2 - 16592*d + 13248 = 0.
-4, -1, 1/2, 2, 414
Factor n**2 + 123974*n + 3842388169.
(n + 61987)**2
Determine v, given that -14*v**5/9 - 38*v**4/3 + 3526*v**3/9 - 2218*v**2/3 + 3256*v/9 = 0.
-148/7, 0, 1, 11
Determine j, given that -3*j**2 - 38880*j - 125971200 = 0.
-6480
Factor -85*h**3 + 3920*h**2 + 26060*h - 3120.
-5*(h - 52)*(h + 6)*(17*h - 2)
Factor 10*p**2 + 230814*p + 92324.
2*(p + 23081)*(5*p + 2)
Let -14*r**5/5 + 12793*r**4/5 - 2908312*r**3/5 - 6491692*r**2/5 - 2517168*r/5 = 0. What is r?
-12/7, -1/2, 0, 458
Find f, given that 3*f**2/2 + 1005*f + 34236 = 0.
-634, -36
Factor 12*q**2 - 27849*q + 20880.
3*(q - 2320)*(4*q - 3)
Factor r**2/6 + 1984*r - 59570/3.
(r - 10)*(r + 11914)/6
Determine z, given that -7*z**4/2 - 2287*z**3 - 1959*z**2/2 = 0.
-653, -3/7, 0
Suppose 8*x**5 - 2316*x**4 + 10316*x**3 - 15996*x**2 + 10268*x - 2280 = 0. What is x?
1/2, 1, 2, 285
Factor i**2 + 81*i - 29866.
(i - 137)*(i + 218)
Factor 2*s**2/9 + 4594*s/9 + 1020.
2*(s + 2)*(s + 2295)/9
Suppose n**4 + 13910*n**3 - 27824*n**2 = 0. What is n?
-13912, 0, 2
Solve -3*u**3 + 1506*u**2 + 47793*u + 46284 = 0 for u.
-29, -1, 532
Let 2*j**5 - 150*j**4 - 158*j**3 + 446*j*