etermine c, given that -3*c**3 + 3353*c**2 + 4475*c + 1119 = 0.
-1, -1/3, 1119
Suppose -v**4/2 + 55*v**3 - 823*v**2/2 + 357*v = 0. What is v?
0, 1, 7, 102
Factor v**5/7 - 4492*v**4/7 + 5044516*v**3/7.
v**3*(v - 2246)**2/7
Factor -3*a**2 - 8868*a - 6553452.
-3*(a + 1478)**2
Factor m**3/6 - 59*m**2/3 + 739*m/2 - 1680.
(m - 96)*(m - 15)*(m - 7)/6
Factor 2*i**4/5 - 3354*i**3/5 + 6702*i**2/5 - 670*i.
2*i*(i - 1675)*(i - 1)**2/5
Determine r so that 3*r**4/4 + 219*r**3/4 + 1137*r**2 + 9216*r + 25920 = 0.
-45, -12, -8
Find t such that -2*t**5/5 - 24*t**4 - 1666*t**3/5 - 6588*t**2/5 - 1008*t = 0.
-42, -12, -5, -1, 0
Factor 9*v**4 - 5187*v**3 + 2992897*v**2/4 - 248976*v + 20736.
(v - 288)**2*(6*v - 1)**2/4
Factor 2*j**2/9 + 253642*j/9.
2*j*(j + 126821)/9
Factor -8*g**2/5 + 66596*g/5 - 33296/5.
-4*(g - 8324)*(2*g - 1)/5
What is p in -2*p**4/3 - 3064*p**3 - 9180*p**2 + 82664*p/3 - 15310 = 0?
-4593, -5, 1
Let 2*t**4/7 + 3576*t**3/7 + 298644*t**2 + 374344184*t/7 - 14760803838/7 = 0. What is t?
-607, 33
Determine q so that 3*q**4 + 798*q**3 + 12525*q**2 - 43206*q + 29880 = 0.
-249, -20, 1, 2
Suppose 36*j**5 - 140*j**4 - 1780*j**3 + 380*j**2 + 6544*j + 720 = 0. What is j?
-5, -2, -1/9, 2, 9
Determine i, given that -6*i**4 - 220*i**3 - 106*i**2 + 1356*i - 432 = 0.
-36, -3, 1/3, 2
Determine z so that 2*z**2/5 + 129212*z/5 + 2086967618/5 = 0.
-32303
Suppose -2*j**4 + 786*j**3 - 73546*j**2 - 735258*j + 808020 = 0. What is j?
-10, 1, 201
Factor 2*p**2/3 - 1414088*p/3 + 249955608968/3.
2*(p - 353522)**2/3
What is s in -5*s**4 - 890*s**3 - 42185*s**2 - 229620*s - 332820 = 0?
-86, -3
Suppose x**5 - 18*x**4 + 19*x**3 + 642*x**2 - 1820*x + 1176 = 0. What is x?
-6, 1, 2, 7, 14
Factor -3*h**3/2 - 10155*h**2 - 17197488*h - 34354368.
-3*(h + 2)*(h + 3384)**2/2
Factor 3*a**4 + 174*a**3 + 1515*a**2 - 1692*a.
3*a*(a - 1)*(a + 12)*(a + 47)
Determine f, given that -f**5 - 241*f**4 + 2999*f**3 - 9319*f**2 + 10610*f - 4048 = 0.
-253, 1, 2, 8
Factor 2*p**3/5 - 664*p**2/5 - 13882*p/5 - 69696/5.
2*(p - 352)*(p + 9)*(p + 11)/5
Determine j so that -3*j**4 - 13557*j**3 - 13536*j**2 + 81324*j = 0.
-4518, -3, 0, 2
Factor i**3/5 + 30877*i**2/5 + 47672544*i + 238331844/5.
(i + 1)*(i + 15438)**2/5
Find k such that 5*k**3 - 1140*k**2 + 55825*k + 116250 = 0.
-2, 75, 155
Solve 2*x**2/5 + 9420*x - 282672/5 = 0 for x.
-23556, 6
Factor t**4/2 - 2287*t**3 + 27372*t**2.
t**2*(t - 4562)*(t - 12)/2
Find l such that 20*l**2 - 11575*l + 20195 = 0.
7/4, 577
Factor -2*f**2/3 - 2258*f/3 + 108100/3.
-2*(f - 46)*(f + 1175)/3
Let -o**3/2 - 8433*o**2 - 71283849*o/2 - 709469290 = 0. Calculate o.
-8423, -20
Let -3*a**4/4 - 69*a**3/2 - 1539*a**2/4 + 552*a + 6348 = 0. What is a?
-23, -4, 4
Factor -81*p**2 - 4323*p - 17346.
-3*(p + 49)*(27*p + 118)
What is u in u**3/10 + 15317*u**2/10 + 30631*u/10 + 3063/2 = 0?
-15315, -1
Factor 3*y**3/4 - 303*y**2/2 - 10452*y + 21504.
3*(y - 256)*(y - 2)*(y + 56)/4
Let 1024*v**5 + 5632*v**4 - 6320*v**3 - 16068*v**2 + 19872*v - 3888 = 0. What is v?
-6, -2, 1/4, 9/8
Find s, given that -5*s**4 - 6010*s**3 - 930240*s**2 - 51171750*s - 954669915 = 0.
-1031, -57
Let f**4/5 + 118*f**3/5 + 461*f**2/5 + 572*f/5 + 228/5 = 0. What is f?
-114, -2, -1
Factor 3*o**3/4 - 45*o**2/2 + 24*o + 2016.
3*(o - 24)*(o - 14)*(o + 8)/4
Factor 6*c**4 - 2533*c**3 - 4666*c**2 + 848*c.
c*(c - 424)*(c + 2)*(6*c - 1)
Factor 113*a**2 - 3237*a.
a*(113*a - 3237)
What is n in 8*n**3/11 - 2542*n**2/11 - 43388*n/11 - 10688/11 = 0?
-16, -1/4, 334
Suppose -14*l**5 - 878*l**4 + 2142*l**3 + 3926*l**2 - 6736*l + 1560 = 0. What is l?
-65, -2, 2/7, 1, 3
Factor -59858*j**4/5 + 600656*j**3/5 - 1517228*j**2/5 + 10416*j - 90.
-2*(j - 5)**2*(173*j - 3)**2/5
Factor -u**3/8 + 43*u**2 - 7891*u/8 - 6699/2.
-(u - 319)*(u - 28)*(u + 3)/8
Determine t so that 180800*t**5 - 165920*t**4 - 376348*t**3 - 29900*t**2 - 256*t + 16 = 0.
-1, -1/20, 2/113, 2
Factor r**4/7 - 41*r**3/7 + 246*r**2/7 - 256*r/7 - 544/7.
(r - 34)*(r - 4)**2*(r + 1)/7
Find o such that -2*o**4/15 + 298*o**3/5 - 1734*o**2/5 - 7958*o/3 + 2940 = 0.
-5, 1, 10, 441
Determine p, given that -96*p**4/11 - 177104*p**3/11 + 88570*p**2/11 - 11072*p/11 = 0.
-5536/3, 0, 1/4
Find a, given that 7*a**5/12 + 179*a**4/12 + 239*a**3/12 - 611*a**2/12 - 41*a/2 + 36 = 0.
-24, -18/7, -1, 1
Determine y so that -4*y**2 + 2724*y - 5432 = 0.
2, 679
Factor 2*m**2/7 + 908*m/7 - 922.
2*(m - 7)*(m + 461)/7
Find l such that -2*l**3/17 - 948*l**2/17 - 53542*l/17 - 152148/17 = 0.
-409, -62, -3
Factor -p**3 + 2444*p**2 - 2441*p - 4886.
-(p - 2443)*(p - 2)*(p + 1)
Factor -y**4 + 714*y**3 - 2845*y**2 + 3552*y - 1420.
-(y - 710)*(y - 2)*(y - 1)**2
Determine q, given that 2*q**4/9 - 2222*q**3/9 - 11410*q**2 - 172650*q - 867000 = 0.
-15, 1156
Factor 5*q**4 + 220*q**3 + 1010*q**2 + 1380*q + 585.
5*(q + 1)**2*(q + 3)*(q + 39)
Solve y**5/3 + 30*y**4 + 754*y**3 + 7424*y**2/3 - 38581*y + 70602 = 0 for y.
-41, -14, 3
Factor -2*d**2/9 + 80*d/9 + 854/3.
-2*(d - 61)*(d + 21)/9
Factor -2*q**2/13 - 167192*q/13 - 3494145608/13.
-2*(q + 41798)**2/13
Factor -4*p**2 + 57784*p - 57780.
-4*(p - 14445)*(p - 1)
Factor -3*n**3 - 51*n**2 + 3075*n + 61875.
-3*(n - 33)*(n + 25)**2
Determine a, given that -a**2/7 + 430*a + 3011/7 = 0.
-1, 3011
Suppose 2*c**2/5 - 682432*c/5 + 58214179328/5 = 0. Calculate c.
170608
Factor -5*x**2/4 + 181275*x/4 - 90635/2.
-5*(x - 36254)*(x - 1)/4
Factor -l**2 - 16082*l - 64657681.
-(l + 8041)**2
Determine x so that -12*x**4 - 5997*x**3 - 51408*x**2 + 72147*x - 14730 = 0.
-491, -10, 1/4, 1
Let 3*n**3 + 1488*n**2 + 50652*n + 447120 = 0. What is n?
-460, -18
Factor 2*x**3 + 33138*x**2 - 66300*x - 265136.
2*(x - 4)*(x + 2)*(x + 16571)
Find y, given that 2*y**3 + 115940*y**2 + 463736*y + 463728 = 0.
-57966, -2
Factor 5*r**2 - 36940*r + 68228180.
5*(r - 3694)**2
Let o**2 + 17156*o - 34316 = 0. What is o?
-17158, 2
Let -c**5/8 + 249*c**4/8 - 7349*c**3/4 - 7599*c**2/4 + 14699*c/8 + 14949/8 = 0. What is c?
-1, 1, 99, 151
Determine h so that 5*h**3 + 35190*h**2 - 70395*h + 35200 = 0.
-7040, 1
Factor 3*y**2/2 + 502785*y.
3*y*(y + 335190)/2
Determine g so that -5*g**4 + 290*g**3 - 5700*g**2 + 43960*g - 101920 = 0.
4, 14, 26
Solve -2*u**2 - 364*u - 4080 = 0 for u.
-170, -12
Factor -605*x**4 - 220*x**3 + 64000*x**2 - 245760*x.
-5*x*(x + 12)*(11*x - 64)**2
Suppose -3*x**5 - 273*x**4 - 7518*x**3 - 52578*x**2 + 128817*x - 68445 = 0. What is x?
-39, -15, 1
Factor b**2/9 - 703*b/3 + 8420/9.
(b - 2105)*(b - 4)/9
Find z such that -z**2 + 4968*z - 14895 = 0.
3, 4965
Solve -t**3/4 + 45305*t**2/4 + 90613*t/4 + 45307/4 = 0 for t.
-1, 45307
Suppose 4*t**4 - 848*t**3 + 34708*t**2 + 37272*t - 71136 = 0. What is t?
-2, 1, 57, 156
Let -49*u**5/4 + 5117*u**4 + 23579*u**3/2 - 12380*u**2 - 16797*u/4 - 315 = 0. Calculate u.
-3, -1/7, 1, 420
Suppose 3*r**4 - 111*r**3 - 1830*r**2 - 5892*r - 5400 = 0. What is r?
-9, -2, 50
Factor 5*p**2 - 1410*p + 2800.
5*(p - 280)*(p - 2)
Find w such that w**2/6 + 104531*w/2 = 0.
-313593, 0
Factor w**2/2 + 2254*w - 22565/2.
(w - 5)*(w + 4513)/2
Factor -h**2/3 - 1412*h/3 - 14020/3.
-(h + 10)*(h + 1402)/3
Suppose 2684*x**2 + 8084*x + 96 = 0. Calculate x.
-3, -8/671
Factor -2*a**2/17 - 4282*a/17.
-2*a*(a + 2141)/17
Factor z**4/3 + 116*z**3/3 + 1158*z**2 + 2052*z - 3249.
(z - 1)*(z + 3)*(z + 57)**2/3
Let -337155*s**3 + 5914870*s**2 - 25956660*s + 129960 = 0. What is s?
2/399, 114/13
Factor d**4 + 245*d**3 - 9102*d**2 + 105696*d - 401760.
(d - 12)**2*(d - 10)*(d + 279)
Solve -5*t**5 + 345*t**4 - 655*t**3 - 1005*t**2 = 0 for t.
-1, 0, 3, 67
Solve -28*g**5/3 - 116*g**4/3 + 4*g**3 + 116*g**2/3 + 16*g/3 = 0 for g.
-4, -1, -1/7, 0, 1
Determine h, given that 538*h**2/11 - 10756*h/11 - 80/11 = 0.
-2/269, 20
Factor 49*r**3 - 23247*r**2 - 13296*r - 1900.
(r - 475)*(7*r + 2)**2
Solve 3*y**2 - 6168*y + 6165 = 0 for y.
1, 2055
Let -5*m**2 + 548800*m - 15059072000 = 0. What is m?
54880
Find d, given that -3*d**4/5 + 36*d**3 - 2547*d**2/5 - 546*d = 0.
-1, 0, 26, 35
Let -3*v**2/5 + 1302*v/5 - 2592/5 = 0. Calculate v.
2, 432
Solve -5*s**2 - 19075*s - 38130 = 0 for s.
-3813, -2
Factor n**3/2 - 131*n**2 + 8960*n - 49152.
(n - 128)**2*(n - 6)/2
Factor m**2/5 + 498*m/5 + 1261.
(m + 13)*(m + 485)/5
Factor 2*r**2 - 1156*r + 4592.
2*(r - 574)*(r - 4)
Find d, given that 2*d**5/11 + 6494*d**4/11 - 6*d**3/11 - 19478*d**2/11 + 129