 9, 14
Factor 180*f**3 - 49852*f**2 + 96784*f + 4400.
4*(f - 275)*(f - 2)*(45*f + 2)
Solve -2*b**3/7 + 96*b**2/7 - 162*b = 0 for b.
0, 21, 27
Solve 2*c**3 - 443062*c**2 + 24537770448*c + 24538213512 = 0.
-1, 110766
Let -3*k**5/2 - 453*k**4 + 3219*k**3 - 7854*k**2 + 15741*k/2 - 2781 = 0. Calculate k.
-309, 1, 2, 3
Determine u so that -12*u**5 - 35*u**4 + 13*u**3 + 27*u**2 - 9*u = 0.
-3, -1, 0, 1/3, 3/4
Find q such that q**2 - 38296*q = 0.
0, 38296
Factor 2*i**2/13 - 3754*i/13 + 7500/13.
2*(i - 1875)*(i - 2)/13
Let 3*a**4/4 - 663*a**3/4 + 46881*a**2/4 - 1202985*a/4 + 2536191 = 0. Calculate a.
21, 71, 108
Factor -2*j**3 + 242616*j**2 - 7357815432*j.
-2*j*(j - 60654)**2
Let p**3/2 - 185*p**2 - 6137*p/2 - 7527 = 0. What is p?
-13, -3, 386
Find k such that 50*k**4/3 + 6595090*k**3/3 + 217475401018*k**2/3 - 43496926834*k/3 - 17398137604 = 0.
-65951, -2/5, 3/5
Factor l**5 + 10*l**4 + 24*l**3 + 22*l**2 + 7*l.
l*(l + 1)**3*(l + 7)
Suppose b**4 + 8119*b**3 + 40578*b**2 + 64916*b + 32456 = 0. Calculate b.
-8114, -2, -1
Find k such that 5*k**4/4 + 9345*k**3/2 + 17465805*k**2/4 = 0.
-1869, 0
Find c such that -2*c**3/5 - 168*c**2/5 - 714*c - 3404/5 = 0.
-46, -37, -1
Solve -4*q**4 - 1966*q**3 + 2958*q**2 - 2*q - 986 = 0.
-493, -1/2, 1
Factor 2*u**2/5 + 34972*u/5 + 152880098/5.
2*(u + 8743)**2/5
Determine h, given that 2*h**5/11 - 68*h**4/11 + 650*h**3/11 - 1904*h**2/11 + 2120*h/11 - 800/11 = 0.
1, 2, 10, 20
Let -3*f**2 - 5925*f - 76518 = 0. What is f?
-1962, -13
Determine y, given that -2*y**3/5 + 978*y**2/5 - 23004*y - 23200 = 0.
-1, 200, 290
Factor -4*a**2/17 - 1158*a - 9842/17.
-2*(a + 4921)*(2*a + 1)/17
Find w such that -2*w**4 + 416*w**3 + 3078*w**2 - 14540*w - 17200 = 0.
-10, -1, 4, 215
Factor 3*m**4/7 + 576*m**3/7 + 29304*m**2/7 - 262848*m/7 - 36470160/7.
3*(m - 30)*(m + 74)**3/7
Solve -2*w**2 - 3072*w - 1179648 = 0 for w.
-768
Suppose -3*r**5 - 36*r**4 + 6678*r**3 - 56328*r**2 + 92781*r - 43092 = 0. What is r?
-57, 1, 7, 36
Factor 4*t**4 - 3708*t**3 + 864824*t**2 - 2524368*t - 8537760.
4*(t - 462)**2*(t - 5)*(t + 2)
Determine g, given that -g**5/5 - 51*g**4/5 - 299*g**3/5 + 403*g**2/5 + 60*g - 352/5 = 0.
-44, -8, -1, 1
Let -5605*c**4 - 28035*c**3 + 33580*c**2 + 60*c = 0. What is c?
-6, -2/1121, 0, 1
Factor -n**2/4 - 3967*n/4 + 51909/2.
-(n - 26)*(n + 3993)/4
Factor -2*a**3/13 - 6246*a**2/13 - 4771872*a/13 + 164345544/13.
-2*(a - 33)*(a + 1578)**2/13
What is r in 4*r**2 - 38036*r + 190080 = 0?
5, 9504
Suppose 2*g**3/3 - 3172*g**2/3 - 12712*g/3 - 4240 = 0. Calculate g.
-2, 1590
Find r such that 4*r**2 + 1000080*r + 62510000400 = 0.
-125010
Suppose -20*l**2 - 138208*l - 55280 = 0. Calculate l.
-6910, -2/5
Factor -j**4/2 + 802*j**3 - 1603*j**2/2.
-j**2*(j - 1603)*(j - 1)/2
Factor 2*u**2 - 13240*u + 66150.
2*(u - 6615)*(u - 5)
Factor -25*l**3/2 + 290*l**2 + 240*l.
-5*l*(l - 24)*(5*l + 4)/2
Factor -3042*n**2 + 6240*n - 3200.
-2*(39*n - 40)**2
Find r such that 4*r**2/3 + 3200*r/3 + 6352 = 0.
-794, -6
Solve -l**4 - 13*l**3 + 88*l**2 - 44*l - 144 = 0.
-18, -1, 2, 4
Factor -a**2/3 - 395*a - 7002.
-(a + 18)*(a + 1167)/3
Determine c so that -c**5/5 + 37*c**4/5 + 679*c**3/5 + 1763*c**2/5 + 1122*c/5 = 0.
-11, -2, -1, 0, 51
Factor -4*s**2/5 + 3046*s/5 + 1524/5.
-2*(s - 762)*(2*s + 1)/5
What is l in -17*l**5 + 49*l**4 + 1842*l**3 - 12636*l**2 + 20520*l + 2592 = 0?
-12, -2/17, 3, 6
Find i such that -3*i**5 + 102*i**4 - 909*i**3 + 1338*i**2 + 912*i - 1440 = 0.
-1, 1, 2, 12, 20
Factor -4*c**4 + 36*c**3 + 120*c**2 - 800*c.
-4*c*(c - 10)*(c - 4)*(c + 5)
Determine x so that -4*x**4/9 - 180*x**3 - 53308*x**2/3 + 830660*x/9 - 336200/3 = 0.
-205, 2, 3
Factor -5*o**4 - 38205*o**3 - 38200*o**2.
-5*o**2*(o + 1)*(o + 7640)
Determine a, given that a**5/4 - 257*a**4/2 + 49661*a**3/2 - 2145915*a**2 + 285110253*a/4 - 268336125/2 = 0.
2, 125, 129
Determine u, given that -4*u**4 - 1452*u**3 + 5892*u**2 + 7340*u = 0.
-367, -1, 0, 5
Find o, given that -o**2/2 - 1929*o/2 + 965 = 0.
-1930, 1
Determine v, given that -3*v**5 + 88338*v**4 + 176685*v**3 + 88344*v**2 = 0.
-1, 0, 29448
Determine x so that 1849*x**4/4 - 90429*x**3/4 - 98511*x**2/2 - 4435*x - 102 = 0.
-2, -2/43, 51
Factor -w**2/4 - 2027*w/2 - 4108729/4.
-(w + 2027)**2/4
Factor p**2 - 818*p - 2463.
(p - 821)*(p + 3)
Factor 3*t**2 - 34236*t - 68484.
3*(t - 11414)*(t + 2)
Solve -5*l**5 - 390*l**4 - 2900*l**3 - 7080*l**2 - 5600*l = 0 for l.
-70, -4, -2, 0
Factor -p**3/5 - 16*p**2 - 752*p/5 + 4352/5.
-(p - 4)*(p + 16)*(p + 68)/5
Factor g**5 - 13980*g**4 + 65146796*g**3 - 101194640080*g**2 - 260587200*g + 404778784000.
(g - 4660)**3*(g - 2)*(g + 2)
What is q in -2*q**3/3 + 48380*q**2/3 - 64496*q = 0?
0, 4, 24186
Factor 2*a**3 + 17522*a**2 + 38368798*a - 38386322.
2*(a - 1)*(a + 4381)**2
Let k**3/2 + 74*k**2 + 2840*k + 24288 = 0. What is k?
-92, -44, -12
Factor 4*q**2/7 - 128*q/7 - 8976/7.
4*(q - 66)*(q + 34)/7
Solve -2*h**2 + 10456*h + 41856 = 0.
-4, 5232
Solve -27*x**3 + 384*x**2 - 84*x = 0 for x.
0, 2/9, 14
Factor -2*d**3/7 + 6*d**2 - 40*d/7.
-2*d*(d - 20)*(d - 1)/7
Suppose -5*d**2/2 - 2879980*d - 829428480040 = 0. Calculate d.
-575996
Solve -2*v**2/9 + 30374*v/3 - 91120/9 = 0 for v.
1, 45560
Factor 162*z**4 - 225*z**3 - 238*z**2 + 55*z + 50.
(z - 2)*(2*z - 1)*(9*z + 5)**2
Solve -3*m**2/5 + 28112*m/5 - 3748 = 0 for m.
2/3, 9370
Suppose q**4/8 + 723*q**3/8 - 54513*q**2/8 + 106853*q/8 - 6633 = 0. Calculate q.
-792, 1, 67
Factor -5*b**3 - 7798895*b**2 - 3041134261600*b + 3041142060500.
-5*(b - 1)*(b + 779890)**2
Factor -2*g**3/13 - 162*g**2/13 + 402*g + 475834/13.
-2*(g - 53)*(g + 67)**2/13
Factor -b**5 - 641*b**4 + 1286*b**3 - 2*b**2 - 1285*b + 643.
-(b - 1)**3*(b + 1)*(b + 643)
Factor -5*m**3 - 695*m**2 - 16740*m.
-5*m*(m + 31)*(m + 108)
What is f in -9*f**3/2 - 91*f**2 + 11381*f/2 + 1269 = 0?
-47, -2/9, 27
Find l, given that 4*l**4/9 - 80*l**3/9 - 1928*l**2 - 34320*l + 120516 = 0.
-33, 3, 83
Let -961*a**2 + 33976*a - 300304 = 0. Calculate a.
548/31
Factor -53919649*c**2/4 + 7343*c - 1.
-(7343*c - 2)**2/4
Determine p, given that 35*p**3 - 145*p**2 - 2080*p + 300 = 0.
-6, 1/7, 10
Let 2*f**4/11 - 1412*f**3/11 + 51864*f**2/11 + 107972*f/11 + 54694/11 = 0. What is f?
-1, 41, 667
Factor f**2 - 758*f + 757.
(f - 757)*(f - 1)
Let -3*o**2 + 176988*o + 530991 = 0. Calculate o.
-3, 58999
What is u in 5*u**2 - 265*u + 1610 = 0?
7, 46
Suppose 5*w**4 + 190*w**3 - 3695*w**2 + 14540*w - 15900 = 0. Calculate w.
-53, 2, 3, 10
Determine h, given that 28*h**5 + 3476*h**4 - 17368*h**3 + 22648*h**2 - 7236*h - 1548 = 0.
-129, -1/7, 1, 3
Factor 5*g**2/3 + 161635*g/3 + 161630/3.
5*(g + 1)*(g + 32326)/3
What is g in g**4/5 - 14916*g**3/5 + 55412548*g**2/5 + 1560332928*g/5 + 10942833664/5 = 0?
-14, 7472
Determine b, given that 10*b**3 + 834*b**2 + 332*b = 0.
-83, -2/5, 0
Determine k so that 4*k**2 - 150*k + 74 = 0.
1/2, 37
Let -5*b**2 + 7910*b - 15800 = 0. What is b?
2, 1580
Factor 5*i**2/6 - 3076880*i/3 + 946719053440/3.
5*(i - 615376)**2/6
Let -290*b**4/3 - 2924*b**3/3 - 3270*b**2 - 3744*b - 288 = 0. Calculate b.
-4, -3, -12/145
Factor -3*q**3/2 + 29817*q**2 - 148145760*q - 296410800.
-3*(q - 9940)**2*(q + 2)/2
Factor -1420*i**3 + 54584*i**2 - 536332*i + 225264.
-4*(i - 19)**2*(355*i - 156)
Determine x so that 3*x**4 - 1650*x**3 + 207996*x**2 + 853554*x + 643905 = 0.
-3, -1, 205, 349
Determine k, given that -2*k**3/3 + 10*k**2/3 + 506*k/3 + 494/3 = 0.
-13, -1, 19
Solve -2*g**3/5 + 3598*g**2/5 + 76484*g/5 - 16016 = 0 for g.
-22, 1, 1820
Determine s, given that 2*s**5/9 - 92*s**4/9 + 766*s**3/9 + 7052*s**2/9 - 2576*s/3 = 0.
-6, 0, 1, 23, 28
Factor 2*j**3/9 + 1060*j**2/9 - 3616*j/3 - 2880.
2*(j - 12)*(j + 2)*(j + 540)/9
Factor o**5 - 139*o**4 + 4010*o**3 + 56650*o**2 + 193125*o + 140625.
(o - 75)**2*(o + 1)*(o + 5)**2
Let 50*v**3/7 - 115560*v**2/7 + 66770568*v/7 = 0. Calculate v.
0, 5778/5
Suppose 2*r**3/7 + 16*r**2/7 - 256*r/7 = 0. What is r?
-16, 0, 8
Let 2*i**5/7 + 2018*i**4 + 4034*i**3 - 42366*i**2/7 = 0. What is i?
-7061, -3, 0, 1
Solve c**5/2 + 123*c**4 + 18085*c**3/2 + 177282*c**2 + 604514*c + 570288 = 0 for c.
-109, -24, -2
Let 30*c**4/7 + 2676*c**3/7 - 10464*c**2/7 + 12780*c/7 - 5022/7 = 0. Calculate c.
-93, 1, 9/5
Determine o, given that 3*o**5/4 + 1755*o**4/2 + 1019631*o**3/4 - 1030185*o**2 + 1033707*o = 0.
-587, 0, 2
Factor 2*o**3/7 - 21442*o**2