2*n**4/9 - 569686*n**3/9 - 3038206*n**2/3 - 43863554*n/9 - 55826092/9 = 0. Calculate n.
-284827, -7, -2
Factor p**2 - 33551585*p + 33551584.
(p - 33551584)*(p - 1)
Suppose 2*g**4/7 + 5338*g**3/7 - 205810*g**2/7 - 211146*g/7 = 0. Calculate g.
-2707, -1, 0, 39
Let -l**2/11 + 166418*l/11 + 348013 = 0. Calculate l.
-23, 166441
Solve 2*t**5/3 + 220*t**4/3 - 48774*t**3 + 727772*t**2/3 - 1162424*t/3 + 193584 = 0.
-333, 1, 2, 218
Suppose 45*v**2/2 - 717621*v/2 + 47841 = 0. What is v?
2/15, 15947
What is h in 26*h**4 - 231*h**3 + 571*h**2 - 321*h - 45 = 0?
-3/26, 1, 3, 5
Determine t so that -4*t**5 - 7708*t**4 - 3701448*t**3 + 11737000*t**2 + 269485900*t - 1173343500 = 0.
-965, -9, 5, 7
Factor 5*i**3/2 - 5601305*i**2/2 + 784260407560*i + 58835285292000.
5*(i - 560168)**2*(i + 75)/2
Suppose -18*h**4/11 + 256100*h**3/11 + 2876990*h**2/11 - 10138000*h/11 - 2392152/11 = 0. What is h?
-14, -2/9, 3, 14239
Factor 4*r**2 + 356880*r + 3211596.
4*(r + 9)*(r + 89211)
Solve 2*s**2 + 943426*s + 162210104 = 0 for s.
-471541, -172
Suppose -16*f**2/5 - 10454*f + 14739984/5 = 0. What is f?
-3528, 2089/8
Suppose 30348*i**2 - 333831*i + 33 = 0. What is i?
1/10116, 11
Solve -u**2/3 + 2749622*u - 5670315857163 = 0 for u.
4124433
Let -3*l**3 + 1762608*l**2 - 3525207*l + 1762602 = 0. What is l?
1, 587534
Determine y, given that -y**2/3 - 570507*y - 1711518 = 0.
-1711518, -3
What is o in -3*o**2 + 147111*o - 1323756 = 0?
9, 49028
Solve 5*q**3 - 270*q**2 - 9635*q - 61200 = 0.
-17, -9, 80
Determine j, given that -161*j**2/4 - 78881*j/2 - 78720 = 0.
-157440/161, -2
Factor 5*l**2/3 - 49893965*l/3 + 99787870.
5*(l - 9978787)*(l - 6)/3
Solve 108*n**5 - 317349*n**4 - 3690996*n**3 + 1610631*n**2 + 203586*n - 106200 = 0 for n.
-12, -1/4, 1/3, 2950
Suppose u**5/5 + 212*u**4/5 + 1028*u**3 - 6090*u**2 + 20619*u/5 + 55998/5 = 0. What is u?
-183, -34, -1, 3
Factor -5*b**2 - 12395*b - 6667050.
-5*(b + 789)*(b + 1690)
Solve 5*q**4 + 316990*q**3 + 5019058605*q**2 - 160853405600*q + 1287476768000 = 0 for q.
-31715, 16
Find b, given that -8*b**4 + 31654*b**3 + 2132058*b**2 + 531036*b = 0.
-66, -1/4, 0, 4023
Suppose -2*v**2/9 + 70550*v/9 - 1410200/9 = 0. Calculate v.
20, 35255
Let 4*w**3 + 14400*w**2 + 1250268*w + 1235872 = 0. What is w?
-3511, -88, -1
Let i**3 - 39744*i**2 + 385061445*i + 196642027350 = 0. Calculate i.
-486, 20115
Suppose -3*r**2 + 11130*r - 88848 = 0. Calculate r.
8, 3702
Find n such that -n**3/4 - 45331*n**2 + 725309*n/4 - 135996 = 0.
-181328, 1, 3
Factor i**2/5 + 399755246*i/5 + 39951064176130129/5.
(i + 199877623)**2/5
Determine p, given that 2*p**3/9 + 401544*p**2 + 181392281928*p = 0.
-903474, 0
Factor 32*n**3/7 - 648812*n**2/7 + 3274202240*n/7 + 21058022400.
4*(n - 10160)**2*(8*n + 357)/7
Suppose 3*m**5/4 - 139824*m**4 + 2796369*m**3/4 + 1677903*m**2 - 11185668*m + 8948496 = 0. What is m?
-4, 1, 4, 186427
Determine d so that -6*d**5/5 + 10090*d**4 - 109725952*d**3/5 + 15454487472*d**2/5 - 113112162464*d + 37361433760 = 0.
1/3, 74, 4130
Factor -4*x**3 + 2452*x**2 + 48092800*x + 55296103424.
-4*(x - 4229)*(x + 1808)**2
Find v, given that -2*v**4 - 2700*v**3 - 792426*v**2 - 67215200*v - 66425472 = 0.
-981, -184, -1
Solve i**4 - 4304*i**3/3 + 1673390*i**2/3 - 90940600*i/3 - 30499625/3 = 0.
-1/3, 65, 685
Determine n, given that -4*n**3 + 628*n**2 - 17148*n - 492660 = 0.
-17, 69, 105
Factor -x**2 + 474299*x + 948602.
-(x - 474301)*(x + 2)
Find j such that 6*j**3 - 40107*j**2 - 4339770*j + 2179911 = 0.
-107, 1/2, 6791
Let -4*v**5 - 344*v**4 + 48056*v**3 + 2504464*v**2 + 27795500*v - 30347672 = 0. What is v?
-142, -23, 1, 101
Factor -t**2 + 2141126*t - 1146105136969.
-(t - 1070563)**2
Factor -39*r**2 - 108258*r + 885312.
-3*(r + 2784)*(13*r - 106)
Find n such that 2*n**4/7 - 8202*n**3/7 + 1228074*n**2 - 378047662*n/7 - 1183313952 = 0.
-16, 63, 2027
Factor 4*t**2 + 431904*t + 431900.
4*(t + 1)*(t + 107975)
Suppose a**3/4 + 2872*a**2 - 69085*a - 149656 = 0. What is a?
-11512, -2, 26
Find b, given that -2*b**4/13 + 990*b**3/13 + 11868*b**2/13 - 1414688*b/13 + 2774016/13 = 0.
-43, 2, 32, 504
Suppose -5*v**4 - 1283390*v**3 + 15401355*v**2 - 11551160*v - 28235900 = 0. What is v?
-256690, -1, 2, 11
Factor 18249302*p**2 - 2*p.
2*p*(9124651*p - 1)
Factor l**2 - 32357*l - 64718.
(l - 32359)*(l + 2)
Let -2*b**5/7 + 618*b**4/7 - 37914*b**3/7 + 661142*b**2/7 - 623844*b/7 = 0. Calculate b.
0, 1, 31, 43, 234
Suppose -5*h**3/6 - 436007905*h**2/6 - 4752572439564200*h/3 - 4752572221560250/3 = 0. What is h?
-43600790, -1
Solve u**5/4 + 102*u**4 + 32627*u**3/2 + 1269627*u**2 + 190141825*u/4 + 670758201 = 0 for u.
-97, -89, -36
Factor v**3/2 - 18841*v**2/2 - 283065*v.
v*(v - 18871)*(v + 30)/2
Find j, given that 3*j**2/5 + 18963*j/5 - 533316/5 = 0.
-6349, 28
Factor -q**2/10 + 19977*q/10 - 11054988/5.
-(q - 18801)*(q - 1176)/10
Let -2*j**3 + 1318*j**2 + 21480*j + 81000 = 0. What is j?
-10, -6, 675
Factor 4*b**2 - 47616*b - 1863108.
4*(b - 11943)*(b + 39)
Find x such that -4*x**5 - 4692*x**4 + 3349924*x**3 + 4048262020*x**2 - 12168165024*x + 8116557776 = 0.
-1049, 1, 2, 922
Find w, given that w**5 + 4394*w**4 + 4839973*w**3 + 28921308*w**2 + 43322724*w = 0.
-2194, -3, 0
Let 773*d**5/5 - 618*d**4 - 2327*d**3/5 + 13908*d**2/5 + 36*d/5 = 0. What is d?
-2, -2/773, 0, 3
Factor -5*o**2 + 4897090*o - 24485325.
-5*(o - 979413)*(o - 5)
Find x such that 2*x**3 + 452712*x**2 + 167298090*x + 15468741700 = 0.
-225986, -185
Suppose 54*q**4/5 - 708*q**3 - 65664*q**2/5 - 164268*q/5 + 905418/5 = 0. What is q?
-9, 23/9, 81
What is z in 172445*z**2/3 + 517394*z/3 + 59 = 0?
-3, -59/172445
Find q such that -2*q**3/5 + 882*q**2 - 117600*q + 4047400 = 0.
70, 2065
Suppose 2*i**2 - 44240*i - 486882 = 0. What is i?
-11, 22131
Let -5*z**5 + 15955*z**4 + 128185*z**3 - 718775*z**2 - 3201500*z + 7997500 = 0. What is z?
-10, -5, 2, 5, 3199
Solve 4*w**3/7 + 725304*w**2/7 - 10880404*w/7 + 1450728 = 0 for w.
-181341, 1, 14
Let -10*o**5/11 + 986*o**4/11 - 12022*o**3/11 + 39702*o**2/11 - 36720*o/11 = 0. What is o?
0, 8/5, 3, 9, 85
What is t in 2*t**3 + 9460*t**2 + 6888582*t - 20750940 = 0?
-3830, -903, 3
Find l such that -4*l**4/5 + 36212*l**3/5 - 2585936*l**2/5 - 5316752*l/5 = 0.
-2, 0, 74, 8981
Factor 3*b**2/4 + 39040329*b/2 - 78080661/4.
3*(b - 1)*(b + 26026887)/4
Let -10*i**5/9 - 1213*i**4/9 - 11561*i**3/3 - 133376*i**2/9 - 155324*i/9 - 11840/3 = 0. Calculate i.
-80, -37, -2, -3/10
Suppose -t**3/3 - 71862*t**2 - 3872966555*t + 46479048100/3 = 0. What is t?
-107795, 4
Factor -w**3/7 + 24*w**2 + 2896*w/7 + 8832/7.
-(w - 184)*(w + 4)*(w + 12)/7
Let j**5/3 + 103*j**4/3 + 1197*j**3 + 44369*j**2/3 + 65600*j/3 - 37888 = 0. What is j?
-37, -32, -3, 1
Let -7*v**5/6 + 4250*v**4/3 - 105190*v**3 + 688855*v**2/3 + 1492987*v/6 - 87395 = 0. Calculate v.
-1, 2/7, 3, 77, 1135
Determine p so that -5*p**2 + 66115*p - 1056560 = 0.
16, 13207
Suppose -51*v**4/2 + 351*v**3 + 10653*v**2/2 - 1404*v - 20898 = 0. Calculate v.
-9, -2, 2, 387/17
Solve -3*z**2 + 39957210*z - 79914408 = 0 for z.
2, 13319068
Let -4*p**5 + 508*p**4 - 10900*p**3 + 39492*p**2 + 50904*p = 0. Calculate p.
-1, 0, 6, 21, 101
Let q**5/7 - 21446*q**4/7 + 107210*q**3/7 - 107200*q**2/7 - 107211*q/7 + 18378 = 0. Calculate q.
-1, 1, 2, 3, 21441
What is h in -36*h**5 + 171243728*h**4 + 475677216*h**3 + 399568920*h**2 + 57081284*h - 38054184 = 0?
-1, 2/9, 4756773
Factor 4*v**3 - 2248*v**2 - 141696*v + 2017152.
4*(v - 618)*(v - 12)*(v + 68)
Determine x so that -45*x**4 + 5638040*x**3 + 18167905*x**2 - 52622960*x - 12529300 = 0.
-5, -2/9, 2, 125293
What is j in -3*j**2 - 1198248*j - 185656365 = 0?
-399261, -155
Factor -2*y**3/11 + 75536*y**2/11 - 2566490*y/11 + 21810252/11.
-2*(y - 37734)*(y - 17)**2/11
Factor 4*l**4/7 - 245092*l**3/7 + 53239960*l**2/7.
4*l**2*(l - 61055)*(l - 218)/7
Let -g**5 - 6498*g**4 + 45538*g**3 + 19460*g**2 - 357825*g - 325250 = 0. Calculate g.
-6505, -2, -1, 5
Factor -4*z**2 - 11900096*z + 11900100.
-4*(z - 1)*(z + 2975025)
Determine f, given that -f**2/4 - 5029979*f/2 - 25300688740441/4 = 0.
-5029979
Factor 2*m**2/3 + 4995400*m/3 + 3119252645000/3.
2*(m + 1248850)**2/3
Determine w so that w**2/3 + 26809*w/3 + 703890 = 0.
-26730, -79
Factor 3*w**3 + 5787*w**2 - 290622*w + 284832.
3*(w - 48)*(w - 1)*(w + 1978)
Find g such that 4*g**3 - 95356*g**2 + 69442684*g + 69538044