n that -4*l**4 + 7416*l**3 - 29600*l**2 = 0.
0, 4, 1850
Solve w**5 + 99*w**4 - 8431*w**3 - 25971*w**2 - 17442*w = 0 for w.
-153, -2, -1, 0, 57
Suppose -2*v**4 - 316*v**3 + 18096*v**2 - 35236*v + 17458 = 0. What is v?
-203, 1, 43
Determine f so that 2*f**2 + 407233*f/4 + 407225/4 = 0.
-407225/8, -1
Solve -t**5/4 - 495*t**4/4 - 18641*t**3 - 562847*t**2 + 42733932*t - 42152320 = 0.
-194, -140, 1, 32
Solve -3*i**5 - 91019523*i**4 - 690379418419197*i**3 + 690379509438723*i**2 = 0 for i.
-15169921, 0, 1
Determine k, given that -2*k**4 + 10598*k**3 - 742084*k**2 - 1526576*k = 0.
-2, 0, 73, 5228
Factor 3*o**2/7 - 19251090*o/7 + 30883705515675/7.
3*(o - 3208515)**2/7
Suppose -z**5/5 + 122*z**4/5 + 185*z**3 - 19766*z**2/5 - 8448*z = 0. What is z?
-15, -2, 0, 11, 128
Let 99*s**5/2 - 894*s**4 - 8307*s**3/2 - 3012*s**2 + 198*s = 0. What is s?
-3, -1, 0, 2/33, 22
Determine c so that 3*c**5 + 66012*c**4 + 4545846*c**3 + 116337000*c**2 + 1306805199*c + 5416277940 = 0.
-21935, -19, -12
Factor -6*c**2/7 + 28788*c/7 + 1807920/7.
-6*(c - 4860)*(c + 62)/7
Find g such that 15*g**3 + 377826*g**2 - 226707*g - 151134 = 0.
-25189, -2/5, 1
Determine i so that 3*i**2/2 + 1120089*i/2 - 7840917 = 0.
-373377, 14
Factor -2*j**2/5 - 5194176*j/5 + 5194178/5.
-2*(j - 1)*(j + 2597089)/5
Factor m**3 + 90810*m**2 + 34940913*m + 3368203576.
(m + 193)**2*(m + 90424)
Suppose 4*t**5/3 + 238*t**4/3 - 42*t**3 - 358*t**2/3 + 122*t/3 + 40 = 0. Calculate t.
-60, -1, -1/2, 1
Factor j**2/4 + 75195*j/4 - 40337837/2.
(j - 1058)*(j + 76253)/4
Find s such that -s**2/7 - 1983*s/7 - 736560/7 = 0.
-1488, -495
Let -3*x**2/5 - 178019568*x/5 - 2640913882575552/5 = 0. What is x?
-29669928
Suppose 5*t**3 + 67045*t**2 - 3092005*t + 35588475 = 0. Calculate t.
-13455, 23
Determine f, given that 25*f**4 - 101095*f**3/4 - 717655*f**2/4 - 17815*f/2 = 0.
-7, -1/20, 0, 1018
Factor -2*y**5 + 9003704*y**4 + 27011130*y**3.
-2*y**3*(y - 4501855)*(y + 3)
Solve 9*o**4 + 3105822*o**3 - 8282235*o**2 + 7246968*o - 2070564 = 0.
-345094, 2/3, 1
Solve -2*k**3/5 + 1456*k**2/5 + 1399594*k/5 - 1401048/5 = 0.
-549, 1, 1276
Find l, given that -116205*l**2 - 26995*l + 1010 = 0.
-101/381, 2/61
Factor 5*p**2 + 2279165*p - 4558350.
5*(p - 2)*(p + 455835)
Find y, given that -4*y**4 - 279024*y**3 + 3906924*y**2 - 13674920*y = 0.
-69770, 0, 7
Let -2*f**2/13 - 13038*f/13 + 3244320/13 = 0. What is f?
-6759, 240
Find d, given that -2*d**3/7 + 6448*d**2 - 246810792*d/7 - 89211998880/7 = 0.
-340, 11454
Suppose -f**4/2 - 1688*f**3 + 899255*f**2/2 + 911061*f - 1359000 = 0. Calculate f.
-3624, -3, 1, 250
Let -2*w**2 + 1055116*w + 5275630 = 0. Calculate w.
-5, 527563
Factor -34*x**3 - 6665*x**2 - 196*x.
-x*(x + 196)*(34*x + 1)
What is b in 4*b**4 + 890024*b**3 + 49272501876*b**2 - 26302229554480*b + 3493346648611600 = 0?
-111518, 265
Factor -8*s**3 + 1490304*s**2 - 69408673290*s + 208212607350.
-2*(s - 3)*(2*s - 186285)**2
Factor 2*b**3/15 + 771904*b**2/15 - 1543816*b/15.
2*b*(b - 2)*(b + 385954)/15
Factor -2*n**2/15 + 1562492*n - 4577589843870.
-2*(n - 5859345)**2/15
Determine n so that 2*n**4/7 - 14074022*n**3/7 + 98518078*n**2/7 - 154814098*n/7 + 70370040/7 = 0.
1, 5, 7037004
Factor -5*q**2 + 50240*q + 5638245.
-5*(q - 10159)*(q + 111)
Let -u**4/2 + 3234*u**3 - 3832957*u**2/2 + 300351579*u - 593063108 = 0. What is u?
2, 319, 5828
Solve 5376*p**4 - 416559840*p**3 - 379369971*p**2 - 115066560*p - 11622900 = 0.
-5/16, -2/7, 77486
Suppose -3*a**3/2 + 4851*a**2/2 + 2246979*a/2 + 2242125/2 = 0. What is a?
-375, -1, 1993
Suppose -578*n**4/9 + 121133602*n**3/9 - 109256644*n**2/3 + 20677688*n - 3353136 = 0. What is n?
6/17, 2, 209571
Find j such that -2*j**3/5 - 40462*j**2/5 - 199892*j/5 + 47895168/5 = 0.
-20226, -37, 32
Suppose -4*h**4/9 + 6964*h**3/9 + 321868*h**2/9 - 692404*h/9 - 335768/3 = 0. Calculate h.
-47, -1, 3, 1786
Factor n**3 - 106449*n**2 + 3030767280*n - 10343197959232.
(n - 51256)**2*(n - 3937)
Determine w so that 3*w**2/4 - 4689*w/2 - 1005042 = 0.
-382, 3508
Factor -3*c**3/7 - 217059*c**2/7 - 67503384*c/7 - 5259569328/7.
-3*(c + 156)**2*(c + 72041)/7
Suppose -c**5/3 - 541*c**4/3 - 99047*c**3/3 - 6795803*c**2/3 - 37185360*c + 944049600 = 0. What is c?
-205, -72, 13
Find y, given that y**2/5 - 19813*y/5 - 7926 = 0.
-2, 19815
Solve q**3/2 - 892*q**2 - 281981*q/2 - 3820530 = 0.
-113, -35, 1932
Factor 1892*w**2 - 408714*w + 9072.
2*(w - 216)*(946*w - 21)
Factor 6*c**3 - 303012*c**2 - 5454945*c/2 - 12274173/2.
3*(c - 50511)*(2*c + 9)**2/2
Suppose l**3/3 - 3046*l**2/3 + 1126633*l/3 + 376560 = 0. What is l?
-1, 432, 2615
Factor c**3/4 - 3265*c**2/2 - 275907*c/4 - 192231.
(c - 6572)*(c + 3)*(c + 39)/4
Suppose -t**4/3 - 153952*t**3/3 - 461838*t**2 - 1385496*t - 1385487 = 0. Calculate t.
-153943, -3
Solve 135*c**4/2 + 183747*c**3/2 - 32598114*c**2 + 2593702464*c + 230808960 = 0.
-1665, -4/45, 152
Determine f so that -5*f**4 - 135390*f**3 - 16198800*f**2 - 647312000*f - 8626560000 = 0.
-26958, -40
Suppose 2*z**2/3 - 1628*z/3 - 1288702/3 = 0. Calculate z.
-493, 1307
Let 2*z**4 - 2922*z**3 + 647358*z**2 - 644438*z = 0. What is z?
0, 1, 271, 1189
Find a, given that -32*a**3/13 - 168795792*a**2/13 - 84397890*a/13 - 10549736/13 = 0.
-5274868, -1/4
Find v, given that -5*v**5 + 16875*v**4 - 684055*v**3 + 1950965*v**2 - 1917240*v + 633460 = 0.
1, 38, 3334
Factor -3*l**2/8 - 12471*l - 238359045/8.
-3*(l + 2591)*(l + 30665)/8
Solve -2*s**4/5 + 752*s**3/5 + 34086*s**2/5 + 85196*s + 1207184/5 = 0 for s.
-19, -4, 418
Suppose 18*t**4 - 131907*t**3 - 373962*t**2 + 593823*t - 87972 = 0. What is t?
-4, 1/6, 1, 7331
Factor 5*f**4 - 343570*f**3 + 6064292865*f**2 - 5575303476340*f + 1316668842319220.
5*(f - 33878)**2*(f - 479)**2
Find z such that z**2 + 29642194*z + 219664916283409 = 0.
-14821097
Suppose 3*b**3/7 + 18495*b**2/7 + 31116600*b/7 + 7855183500/7 = 0. Calculate b.
-2930, -305
Determine a so that -a**4 - 111*a**3 + 125748*a**2 + 126076*a - 251712 = 0.
-414, -2, 1, 304
Solve -n**4/2 - 3822705*n**3/2 - 19113503*n**2/2 - 11468091*n/2 + 17202150 = 0 for n.
-3822700, -3, 1
What is x in 3*x**4/5 - 187392*x**3/5 - 412335*x**2 = 0?
-11, 0, 62475
Find h, given that 25*h**3 + 49995*h**2 - 918100*h + 181620 = 0.
-2018, 1/5, 18
Find z such that 9*z**4/5 - 97*z**3/5 - 1876*z**2/5 + 17732*z/5 + 4032/5 = 0.
-14, -2/9, 9, 16
Let 178*r**2 + 335*r - 42 = 0. What is r?
-2, 21/178
Find c, given that c**3 + 7611*c**2 - 513646*c + 5988840 = 0.
-7678, 15, 52
Determine j, given that 3*j**3 - 7167*j**2 + 92700*j - 85536 = 0.
1, 12, 2376
Factor 68403*g**3 + 1442352*g**2 + 6008832*g + 7077888.
3*(g + 16)*(151*g + 384)**2
Suppose -t**4/5 + 51*t**3/5 + 579*t**2/5 - 28379*t/5 - 11730 = 0. Calculate t.
-23, -2, 25, 51
Solve 5*v**5 + 17390*v**4 - 737765*v**3 + 5052850*v**2 + 5808000*v = 0.
-3520, -1, 0, 10, 33
Factor 3*p**3 - 60450*p**2 + 2894829*p - 2834382.
3*(p - 20102)*(p - 47)*(p - 1)
Factor g**2/3 + 119430974*g + 10697818162941507.
(g + 179146461)**2/3
Factor 2*y**2/19 - 16426*y/19 - 4879000/19.
2*(y - 8500)*(y + 287)/19
Solve p**2/11 + 5872402*p/11 + 11744800/11 = 0 for p.
-5872400, -2
What is y in y**4 + 2954*y**3 - 233388*y**2 - 2954*y + 233387 = 0?
-3031, -1, 1, 77
Let -2*q**5/3 + 121414*q**4/3 - 485558*q**3/3 - 4006406*q**2/3 + 485560*q/3 + 3884992/3 = 0. What is q?
-4, -1, 1, 8, 60703
Solve -3*n**3 + 133104*n**2 + 3462657*n + 3329550 = 0 for n.
-25, -1, 44394
Factor -4*l**3 - 19432*l**2 - 24901604*l - 3116333360.
-4*(l + 140)*(l + 2359)**2
Find v, given that 2*v**3 - 1390340*v**2 + 2780674*v - 1390336 = 0.
1, 695168
Find v, given that 554*v**2/3 + 1351*v/6 + 81/2 = 0.
-1, -243/1108
Let 2*h**3/15 + 70873442*h**2/15 + 41858708870176*h + 41858704145280 = 0. What is h?
-17718360, -1
Determine d, given that 2*d**5/5 + 12456*d**4/5 + 10068544*d**3/5 - 60710368*d**2/5 + 121620192*d/5 - 81146624/5 = 0.
-5272, -962, 2
Let -m**2/5 + 1517897*m/5 - 607158 = 0. What is m?
2, 1517895
Factor 5*v**3 + 330*v**2 - 25115*v - 977760.
5*(v - 63)*(v + 32)*(v + 97)
What is m in 5672*m**5/3 - 107462*m**4/3 - 121050*m**3 - 387958*m**2/3 - 144674*m/3 - 2244 = 0?
-1, -153/2836, 22
Factor -2*x**4/3 - 8032*x**3 - 24184350*x**2 + 145202500*x/3.
-2*x*(x - 2)*(x + 6025)**2/3
Factor 3*a**4 + 38253*a**3 - 2533410*a**2 + 55798908*a - 409426248.
3*(a - 22)**3*(a + 12817)
Find i such that -4*i**2 - 1857237