68 = 0. Calculate u.
-1/25152, 6, 33
Find d, given that 3*d**4 + 7188*d**3 - 1653489*d**2 + 101666802*d - 1119090504 = 0.
-2612, 14, 101
Determine m so that 2*m**3/9 - 164*m**2 - 5149056*m + 10925568192 = 0.
-5334, 3036
Determine b, given that 5*b**3 - 138065*b**2 + 16788115*b - 511470055 = 0.
61, 27491
Determine g so that -4*g**5 + 284*g**4 - 5608*g**3 + 27152*g**2 - 50080*g + 32000 = 0.
2, 25, 40
Suppose -3*f**4/7 - 1094469*f**3/7 - 99795046644*f**2/7 + 4892388401232*f/7 - 17972762811840/7 = 0. Calculate f.
-182436, 4, 45
Let -4*s**5/9 + 96*s**4 - 39284*s**3/9 - 790120*s**2/9 - 1351168*s/3 - 5274752/9 = 0. What is s?
-7, -2, 116
Find p such that -5*p**2 - 1772944070*p - 157166533767408245 = 0.
-177294407
Factor 64*u**2 - 1426332*u + 624008.
4*(u - 22286)*(16*u - 7)
Let 2*k**5 + 20280*k**4 + 52335066*k**3 + 4695374020*k**2 + 128715724032*k + 1113109401600 = 0. Calculate k.
-5024, -50, -21
Factor -5429*n**2 + 759895*n + 23100.
-(n - 140)*(5429*n + 165)
Find x such that 712*x**2 - 164620*x - 130848 = 0.
-141/178, 232
Factor -8*m**2 + 286791*m + 2904579.
-(m - 35859)*(8*m + 81)
Determine i, given that 2*i**3/9 - 270556*i**2/9 + 270538*i = 0.
0, 9, 135269
Factor -3*v**2/4 + 2999235*v - 2998470195075.
-3*(v - 1999490)**2/4
Suppose -8*k**4/13 - 1538*k**3/13 + 70752*k**2 + 203183640*k/13 + 50738400/13 = 0. What is k?
-270, -1/4, 348
Factor d**2 + 21654354*d + 117227761789329.
(d + 10827177)**2
Factor -f**4 + 189*f**3 + 2873*f**2 - 6309*f + 3248.
-(f - 203)*(f - 1)**2*(f + 16)
Factor f**4 + 264581*f**3 + 10317645*f**2 + 134124991*f + 581198774.
(f + 13)**3*(f + 264542)
Factor 2*c**2/5 + 27157236*c/5 + 92189433394962/5.
2*(c + 6789309)**2/5
Find w such that w**5/4 - 6787*w**4/4 - 6789*w**3/2 - w**2/2 + 13577*w/4 + 6789/4 = 0.
-1, 1, 6789
Solve 2*f**2 - 12007698*f + 12007696 = 0.
1, 6003848
Determine u so that -2*u**3/5 - 287400*u**2 - 258075134856*u/5 + 16522695107072/5 = 0.
-359282, 64
Factor 9*d**2/5 + 521218*d/5 + 115824.
(d + 57912)*(9*d + 10)/5
Determine m, given that 4*m**2 + 15640192*m + 15288475362304 = 0.
-1955024
What is p in 2*p**4/7 - 54*p**3 + 638*p**2/7 + 20682*p/7 - 2992 = 0?
-7, 1, 8, 187
Factor -451540*c**2 - 116685*c - 950.
-5*(4*c + 1)*(22577*c + 190)
Factor 3*j**2 + 3676548*j + 25735689.
3*(j + 7)*(j + 1225509)
Factor v**3/6 - 187316*v**2 + 105261476935*v/2 + 315786678601/3.
(v - 561949)**2*(v + 2)/6
Suppose -15*c**4 + 168*c**3 + 4425*c**2 + 17958*c + 19800 = 0. What is c?
-44/5, -3, -2, 25
Factor 304068*c**2 + 25347*c + 2/3.
(12*c + 1)*(76017*c + 2)/3
Suppose -3255*w**4 + 1447143*w**3 - 852492*w**2 - 586068*w - 5328 = 0. What is w?
-2/5, -2/217, 1, 444
Find x, given that 3*x**5 - 1662*x**4 + 15132*x**3 + 637848*x**2 + 4564512*x + 9870336 = 0.
-6, 28, 544
Solve -63*b**5 - 80760*b**4 - 552852*b**3 + 2258850*b**2 - 2198925*b + 573750 = 0.
-1275, -10, 3/7, 1, 5/3
Solve -g**3/3 + 22871*g**2/3 + 251702*g/3 = 0.
-11, 0, 22882
Find a, given that -22*a**5/15 - 1154*a**4/5 + 6092*a**3/15 + 19312*a**2/5 - 18368*a/3 - 13568/5 = 0.
-159, -4, -4/11, 2, 4
Factor -2*z**4/5 + 36344*z**3/5 + 266535204*z**2/5 + 113202845944*z + 388639644853774/5.
-2*(z - 24181)*(z + 2003)**3/5
Let -5*h**3 + 2423695*h**2 + 4847410*h = 0. Calculate h.
-2, 0, 484741
Solve -2*t**4/3 + 11638*t**3/3 - 3878*t**2 - 11638*t/3 + 11636/3 = 0 for t.
-1, 1, 5818
Solve 10*s**5 + 13826*s**4 - 355612*s**3 + 2838712*s**2 - 7668912*s + 2635776 = 0 for s.
-1408, 2/5, 6, 13
Let 9*p**5 + 151863*p**4 - 6440901*p**3 + 69269697*p**2 - 22379868*p = 0. Calculate p.
-16916, 0, 1/3, 21
Factor 2*m**2/3 + 674284*m/3 - 9665970.
2*(m - 43)*(m + 337185)/3
Factor 4*d**2 - 376320656*d + 8851077258266896.
4*(d - 47040082)**2
Let 2*h**4/13 - 11620*h**3/13 - 93090*h**2/13 + 11620*h/13 + 93088/13 = 0. Calculate h.
-8, -1, 1, 5818
Determine p, given that -27*p**4 + 34041*p**3 + 2538330*p**2 + 30772152*p + 6713280 = 0.
-56, -15, -2/9, 1332
Factor u**3/2 - 55956*u**2 + 3167788125*u/2 - 1024160546875.
(u - 55625)**2*(u - 662)/2
Determine z, given that -2*z**5/13 + 17094*z**4/13 + 102654*z**3/13 - 153926*z**2/13 - 239484*z/13 = 0.
-7, -1, 0, 2, 8553
Solve -3*a**4/7 - 141147*a**3/7 - 1661969154*a**2/7 - 5922484704*a + 43119503232/7 = 0.
-23512, -26, 1
Find h such that -3*h**5 - 543*h**4 - 1041*h**3 + 5943*h**2 + 6336*h - 19332 = 0.
-179, -3, 2
Let 16*b**4 + 105872612*b**3 + 175140899914444*b**2 + 394066250614368*b - 394066488827664 = 0. Calculate b.
-3308518, -3, 3/4
Factor -2*x**2 + 83717924*x - 876086349858722.
-2*(x - 20929481)**2
Solve -2*s**4/5 + 1504*s**3 + 75414*s**2/5 - 52388*s/5 - 295568 = 0 for s.
-7, 4, 3770
Factor -2*y**3 - 60916*y**2 - 463174080*y + 10219334400.
-2*(y - 22)*(y + 15240)**2
Solve 32*h**4/7 + 11884*h**3/7 + 97092*h**2/7 - 9972*h - 39204/7 = 0.
-363, -9, -3/8, 1
Factor -2*a**3 - 1984*a**2 + 83010*a + 464400.
-2*(a - 45)*(a + 5)*(a + 1032)
Determine d so that -2*d**5 - 21788175*d**4/2 - 14835163233598*d**3 - 55631698033920*d**2 + 14835122380800*d = 0.
-2723520, -4, 0, 1/4
Suppose 3*b**3/2 + 123*b**2 - 74196*b - 905472 = 0. What is b?
-262, -12, 192
Factor 5*l**3 - 115198480*l**2 + 663534144119945*l + 3981209011866030.
5*(l - 11519851)**2*(l + 6)
Determine i so that 2*i**3/11 - 34360*i**2/11 + 137408*i/11 = 0.
0, 4, 17176
Let 2*j**5/7 + 88*j**4/7 - 1852*j**3/7 - 8432*j**2 - 43450*j + 364936/7 = 0. What is j?
-52, -11, 1, 29
Find h such that -2*h**2/3 + 3085588*h/3 - 280771946/3 = 0.
91, 1542703
Factor -15*j**2/4 + 17987113*j/4 + 1199141/2.
-(j - 1199141)*(15*j + 2)/4
Factor -2*h**3 - 8929342*h**2 + 17858690*h - 8929346.
-2*(h - 1)**2*(h + 4464673)
Factor -26*y**3/9 + 6184940*y**2/3.
-2*y**2*(13*y - 9277410)/9
Factor 2*n**3/15 + 89958*n**2/5 + 3034620682*n/5 - 9104131922/15.
2*(n - 1)*(n + 67469)**2/15
Determine v, given that 4470915*v**3 - 2892775*v**2 - 1578080*v - 60 = 0.
-6/17, -2/52599, 1
Solve -7*w**2 + 141618*w + 688024 = 0 for w.
-34/7, 20236
Factor -z**3/3 - 251*z**2/3 - 15104*z/3 + 64496/3.
-(z - 4)*(z + 116)*(z + 139)/3
Solve 3*v**2/5 + 535329*v/5 + 856488 = 0 for v.
-178435, -8
What is l in 3*l**5 - 55122*l**4 + 251377347*l**3 + 16771419720*l**2 + 277722442800*l = 0?
-33, 0, 9220
Factor -d**3 + 32399854*d**2 - 262437634805329*d.
-d*(d - 16199927)**2
Let -s**3 - 3558181*s**2 - 17790880*s = 0. What is s?
-3558176, -5, 0
Determine f so that -5*f**2 - 18870*f - 5003845 = 0.
-3487, -287
What is a in -2*a**5/5 + 1102*a**4/5 - 180292*a**3/5 + 7549772*a**2/5 - 5579826*a + 4105710 = 0?
1, 3, 57, 245
Solve 3*i**5 - 1270359*i**4 + 6351726*i**3 - 2540628*i**2 - 25406952*i + 30488256 = 0.
-2, 2, 3, 423448
Factor -14*x**2 + 111028*x + 10333072.
-2*(x + 92)*(7*x - 56158)
Factor 3*g**2 - 26994*g - 405585.
3*(g - 9013)*(g + 15)
Factor -2*u**2/3 + 16434*u - 81842380/3.
-2*(u - 22861)*(u - 1790)/3
Find p such that -5*p**5/4 - 1963*p**4/4 - 195199*p**3/4 - 495881*p**2/4 - 37635*p + 38025 = 0.
-195, -2, -1, 2/5
Let 2*m**3/7 - 556328*m**2/7 = 0. Calculate m.
0, 278164
Factor 2*i**2 - 1414414*i + 1414412.
2*(i - 707206)*(i - 1)
Solve 2*w**3/5 + 16570*w**2 - 497172*w/5 = 0.
-41431, 0, 6
Let -22*n**5/7 + 543*n**4/7 + 190983*n**3/7 + 5442895*n**2/7 + 242169*n - 489294/7 = 0. Calculate n.
-51, -41, -1/2, 2/11, 117
Suppose -4*f**4 - 780*f**3 + 23212*f**2 - 168948*f + 146520 = 0. Calculate f.
-222, 1, 11, 15
Factor -3*l**3/2 - 62547*l**2 + 2252421*l/2 - 5068494.
-3*(l - 9)**2*(l + 41716)/2
Solve -4*r**4/5 - 442*r**3/3 + 25492*r**2/15 + 1846*r = 0 for r.
-195, -1, 0, 71/6
Factor z**3/5 + 45567*z**2/5 - 675213*z + 62482529/5.
(z - 37)**2*(z + 45641)/5
Find r, given that -2*r**5/5 - 734*r**4/5 - 22604*r**3/5 + 785036*r**2/5 - 1499314*r/5 + 737618/5 = 0.
-329, -59, 1, 19
What is x in -4235*x**4 - 67740*x**3 + 4555*x**2 + 67740*x - 320 = 0?
-16, -1, 4/847, 1
Solve 3*j**5/5 + 2016864*j**4/5 + 338978366199*j**3/5 - 6050586*j**2/5 - 1016931064896*j/5 + 677956732416/5 = 0.
-336144, -2, 1
Factor -2*z**5/3 + 135188*z**4/3 - 1015336984*z**3 + 22878588170348*z**2/3 - 22875542294582*z/3.
-2*z*(z - 22531)**3*(z - 1)/3
Solve -2*d**5 + 52*d**4 + 5634*d**3 - 154692*d**2 + 412128*d = 0 for d.
-54, 0, 3, 24, 53
Determine a, given that a**5/9 + 545*a**4/9 + 12721*a**3/3 + 88051*a**2/9 - 1463080*a/9 = 0.
-463, -79, -8, 0, 5
What is w in -2677668*w**2 - 44517*w - 105 = 0?
-7/508, -5/1757
Solve -2*l**3 - 152*l**2 + 16438*l