49
Find q, given that -2*q**5/5 - 36*q**4/5 + 1246*q**3/5 - 1224*q**2 - 1480*q = 0.
-37, -1, 0, 10
Suppose 2*p**4/15 + 382*p**3/15 + 616*p**2/5 - 744*p/5 = 0. Calculate p.
-186, -6, 0, 1
Find t such that t**3 + 1231*t**2 + 496155*t + 65083725 = 0.
-465, -301
Factor 2*m**2/3 - 89800*m/3 + 1008005000/3.
2*(m - 22450)**2/3
Factor -v**3 + 64*v**2 - 1113*v + 2790.
-(v - 31)*(v - 30)*(v - 3)
Determine x, given that -x**5/4 + 59*x**4/4 + 569*x**3/4 - 1815*x**2/4 - 6444*x - 12663 = 0.
-6, -3, 7, 67
Factor -4*n**2 + 3685416*n - 848893193316.
-4*(n - 460677)**2
Factor -2*k**3/9 + 26*k**2 - 672*k - 5016.
-2*(k - 66)*(k - 57)*(k + 6)/9
Factor r**2/4 + 499*r/4 + 13330.
(r + 155)*(r + 344)/4
Factor -x**3/8 - 45473*x**2/8 + 136437*x/4.
-x*(x - 6)*(x + 45479)/8
Determine x so that 4*x**2 + 48880*x + 195456 = 0.
-12216, -4
Let -q**4/2 - 148*q**3 + 897*q**2/2 - 2*q - 598 = 0. Calculate q.
-299, -1, 2
Factor -3*a**2 - 755919*a.
-3*a*(a + 251973)
Determine i, given that 4*i**3 + 14300*i**2 + 12759148*i - 38406252 = 0.
-1789, 3
Suppose -o**5/7 + 5*o**4/7 + 12*o**3/7 - 68*o**2/7 - 32*o/7 + 192/7 = 0. What is o?
-3, -2, 2, 4
Find u, given that -5*u**4/3 - 2935*u**3/3 - 125260*u**2 + 17356900*u/3 + 232562000/3 = 0.
-310, -11, 44
Factor -n**2/4 - 33653*n/4 + 58905.
-(n - 7)*(n + 33660)/4
Determine d so that 4*d**4 - 736*d**3 + 40960*d**2 - 614400*d = 0.
0, 24, 80
Factor -c**2/3 - 111331*c/3 - 37110.
-(c + 1)*(c + 111330)/3
Find b such that 2*b**5 + 34652*b**4 - 520062*b**3 + 2912872*b**2 - 7213472*b + 6658944 = 0.
-17341, 3, 4
Solve -2*c**5/13 + 38*c**4 - 2906*c**3/13 + 3362*c**2/13 + 2908*c/13 - 3856/13 = 0.
-1, 1, 2, 4, 241
Determine a, given that -3*a**4/5 - 7296*a**3/5 - 881337*a**2 + 7122360*a - 13395600 = 0.
-1220, 3, 5
Determine q, given that -8*q**5/7 + 508*q**4/7 - 3516*q**3/7 + 8900*q**2/7 - 9244*q/7 + 480 = 0.
1, 5/2, 3, 56
Factor -4*r**4/5 + 2196*r**3/5 - 13068*r**2/5 + 19548*r/5.
-4*r*(r - 543)*(r - 3)**2/5
Solve -o**3/10 + 551*o**2/10 + 242888*o/5 - 137352538/5 = 0.
-701, 626
Find n, given that 3*n**2/7 - 29916*n + 522064116 = 0.
34902
Factor c**4/7 + 14881*c**3/7 + 29759*c**2/7 + 14879*c/7.
c*(c + 1)**2*(c + 14879)/7
Determine m, given that 2*m**5/15 - 2*m**4/15 - 96*m**3/5 + 160*m**2/3 + 5632*m/15 - 2048/5 = 0.
-12, -4, 1, 8
What is m in -7*m**4/3 + 53*m**3 - 269*m**2/3 - 145*m = 0?
-1, 0, 3, 145/7
Let -5*f**5 - 870*f**4 - 11990*f**3 - 10260*f**2 + 11995*f + 11130 = 0. What is f?
-159, -14, -1, 1
What is x in -98*x**5/9 + 448*x**4/3 - 814*x**3/9 - 440*x**2/3 + 104*x = 0?
-1, 0, 6/7, 13
Determine n so that -19*n**2/7 - 1921*n/7 - 202/7 = 0.
-101, -2/19
Factor -2*d**2 - 210*d - 4752.
-2*(d + 33)*(d + 72)
Let s**5 + 147*s**4 + 2719*s**3 + 8817*s**2 - 47720*s + 36036 = 0. What is s?
-126, -13, -11, 1, 2
Suppose -5*o**2/4 + 9115*o/4 + 18310 = 0. What is o?
-8, 1831
Determine z so that -3*z**5 - 1092*z**4 + 120168*z**3 - 353922*z**2 + 351723*z - 116874 = 0.
-453, 1, 86
Factor 4*g**4/7 - 138546*g**3/7 - 207828*g**2/7.
2*g**2*(g - 34638)*(2*g + 3)/7
Let -17*p**3 - 722*p**2 - 9984*p - 45216 = 0. Calculate p.
-314/17, -12
Factor -5*k**2 - 2605*k - 221490.
-5*(k + 107)*(k + 414)
Let -q**2/3 - 50*q/3 - 88 = 0. Calculate q.
-44, -6
Determine h so that -2*h**2/13 + 1509936*h/13 - 284988340512/13 = 0.
377484
Suppose -4*f**4/3 - 7032*f**3 + 21100*f**2/3 = 0. What is f?
-5275, 0, 1
Factor -2*z**2/7 - 1662*z/7 + 1664/7.
-2*(z - 1)*(z + 832)/7
Factor j**5 + 19*j**4 - 988*j**3 + 5516*j**2 + 25872*j.
j*(j - 14)**2*(j + 3)*(j + 44)
Factor -g**3 - 763*g**2 - 1523*g - 761.
-(g + 1)**2*(g + 761)
Solve -3*x**2 - 3837*x + 19260 = 0.
-1284, 5
Suppose t**2/3 + 32*t + 2135/3 = 0. What is t?
-61, -35
Determine o, given that 5*o**3 + 4170*o**2 + 386325*o + 9519660 = 0.
-732, -51
Find v such that 1764*v**5 + 268520*v**4 + 4912204*v**3 + 1056472*v**2 - 401008*v - 88032 = 0.
-131, -21, -2/7, -2/9, 2/7
Determine w, given that w**5/2 - 17*w**4 - 37*w**3/2 + 35*w**2 = 0.
-2, 0, 1, 35
Factor 2*o**2 + 307872*o + 11848146048.
2*(o + 76968)**2
Factor 5*s**4 - 5435*s**3 + 21675*s**2 - 16245*s.
5*s*(s - 1083)*(s - 3)*(s - 1)
Determine g, given that g**3 + 114*g**2 - 2175*g + 6812 = 0.
-131, 4, 13
Let i**5/3 + 1927*i**4/2 - 2891*i**3/6 = 0. Calculate i.
-2891, 0, 1/2
Factor 5*z**2 + 5330*z + 5325.
5*(z + 1)*(z + 1065)
Factor -2*o**3/9 - 982*o**2/9 + 2324*o/3.
-2*o*(o - 7)*(o + 498)/9
Determine c so that -c**5/5 - 56*c**4/5 + 1689*c**3/5 + 5544*c**2/5 = 0.
-77, -3, 0, 24
Factor 5*n**3 - 4355*n**2 + 51540*n.
5*n*(n - 859)*(n - 12)
Determine c so that 28*c**4/3 + 752*c**3/9 - 6400*c**2/9 - 6592*c/9 - 448/3 = 0.
-14, -2/3, -2/7, 6
Suppose -2*u**3 + 34302*u**2 - 147095550*u + 147061250 = 0. Calculate u.
1, 8575
Determine m, given that 4*m**3/3 + 16828*m**2/3 - 473536*m/3 + 3320240/3 = 0.
-4235, 14
Factor -3*c**2 - 1149*c + 21654.
-3*(c - 18)*(c + 401)
Determine c so that -c**3 + 441*c**2 + 2682*c = 0.
-6, 0, 447
Factor t**2/5 + 484316*t/5 + 58640496964/5.
(t + 242158)**2/5
Factor -t**3/6 + 17110*t**2/3 - 48814822*t + 390153648.
-(t - 17106)**2*(t - 8)/6
Determine p so that 5*p**2 + 214525*p + 1072500 = 0.
-42900, -5
What is p in -p**5/3 - 95*p**4/3 - 633*p**3 + 5661*p**2 - 10404*p = 0?
-51, 0, 3, 4
Find g, given that -2*g**3/3 - 300*g**2 - 44128*g/3 = 0.
-394, -56, 0
What is c in 200*c**4/3 - 205*c**3/3 - 65*c**2 + 205*c/3 - 5/3 = 0?
-1, 1/40, 1
Factor 4*t**4 - 344*t**3 + 2948*t**2 + 6944*t + 3648.
4*(t - 76)*(t - 12)*(t + 1)**2
Factor z**2/4 - 32377*z + 1048270129.
(z - 64754)**2/4
Factor 2*f**3/11 - 952*f**2/11 + 2842*f/11 - 172.
2*(f - 473)*(f - 2)*(f - 1)/11
Factor -2*u**3/13 + 5410*u**2/13 - 3650384*u/13 - 10999896/13.
-2*(u - 1354)**2*(u + 3)/13
Let 2*k**2/15 - 128402*k/5 + 770404/15 = 0. What is k?
2, 192601
Find u, given that -8*u**3/7 + 98178*u**2/7 - 122712*u/7 + 3506 = 0.
1/4, 1, 12271
Factor -5*m**5/2 - 115*m**4/2 + 6360*m**3 - 136080*m**2 + 1175040*m - 3680640.
-5*(m - 12)**4*(m + 71)/2
Solve -3*b**2/4 + 28371*b/4 + 241587/2 = 0 for b.
-17, 9474
Find b such that -b**4 + 66*b**3 - 284*b**2 - 29064*b - 56448 = 0.
-16, -2, 42
Suppose -4*p**4 - 148*p**3 - 864*p**2 - 720*p = 0. Calculate p.
-30, -6, -1, 0
Factor -3*p**3/5 - 2892*p**2/5 + 3*p/5 + 2892/5.
-3*(p - 1)*(p + 1)*(p + 964)/5
Suppose -3*t**3 + 849*t**2 + 19767*t + 110715 = 0. Calculate t.
-11, 305
Factor 5*a**2 + 4926540*a + 1213539818580.
5*(a + 492654)**2
Find t such that -2*t**3/7 - 268*t**2/7 + 934*t/7 + 22800 = 0.
-133, -25, 24
What is w in -2*w**5/11 + 4*w**4 + 282*w**3/11 - 324*w**2/11 = 0?
-6, 0, 1, 27
Let -12*m**5 + 5332*m**4 - 22912*m**3 + 14032*m**2 + 21120*m = 0. What is m?
-2/3, 0, 2, 3, 440
What is b in b**2/6 - 2194*b/3 - 1463/2 = 0?
-1, 4389
Factor -3*g**4 + 63*g**3 - 381*g**2 + 585*g - 264.
-3*(g - 11)*(g - 8)*(g - 1)**2
Factor q**3/6 - 38704*q**2/3 + 748999808*q/3.
q*(q - 38704)**2/6
What is a in -a**4/3 - 16*a**3 + 1473*a**2 - 4370*a/3 = 0?
-95, 0, 1, 46
What is r in -r**4/10 + 111*r**3/5 - 6944*r**2/5 + 83121*r/5 + 180353/10 = 0?
-1, 17, 103
Find i, given that -2*i**2/7 - 298656*i/7 = 0.
-149328, 0
What is n in 5*n**4 - 78465*n**3 - 235425*n**2 - 235435*n - 78480 = 0?
-1, 15696
Factor 4*a**2/3 + 1192*a/3 + 396.
4*(a + 1)*(a + 297)/3
Suppose y**5/3 + 20*y**4 + 490*y**3/3 - 2780*y**2 - 491*y/3 + 2760 = 0. What is y?
-45, -23, -1, 1, 8
Let 2*k**5 + 186*k**4 + 2556*k**3 + 6796*k**2 - 22014*k + 12474 = 0. What is k?
-77, -9, 1
Suppose -5*i**3 + 615*i**2 - 17475*i - 18095 = 0. Calculate i.
-1, 47, 77
Factor -14*w**3 + 1009910*w**2 + 4039664*w/7 + 577096/7.
-2*(w - 72137)*(7*w + 2)**2/7
Determine j so that 144602018*j**2/5 + 68024*j/5 + 8/5 = 0.
-2/8503
Solve -8*q**3 + 1212*q**2 + 612*q - 608 = 0.
-1, 1/2, 152
Factor -o**3 + 144*o**2 - 4553*o + 4410.
-(o - 98)*(o - 45)*(o - 1)
Factor -i**2 - 99714*i - 2485720449.
-(i + 49857)**2
Let -4*w**3 - 68*w**2 + 800*w = 0. What is w?
-25, 0, 8
Factor 5*m**3 + 1138960*m**2 - 2277935*m + 1138970.
5*(m - 1)**2*(m + 227794)
Solve 18*v**2/5 + 1352*v - 6080 = 0.
-380, 40/9
What is t in 2*t**2/15 - 52000*t/3 + 1690000000/3 = 0?
65000
Find s such that 5*s**4/2 - 110*s**3 - 4455*s**2 - 23490*s - 67095/2 = 0.
-21, -3, 71
Factor -3*u**3/7 - 123807*u**2/7 + 70752*u - 495276/7.
-3*(u - 2)**2*(u + 41273)/7
Solve -35*c**5/4 - 209095*c**4/2 + 298805*c**3/4 + 238985*c**2 + 59745*c = 0 for c.
-1