te t.
-1/85, 0, 47, 80
Suppose v**3/4 - 525*v**2/4 + 39927*v/4 - 39403/4 = 0. What is v?
1, 91, 433
Factor -3*o**2/5 - 298047*o/5 + 48362346/5.
-3*(o - 162)*(o + 99511)/5
Factor -2*l**3 + 6780544*l**2 + 54244448*l + 108488960.
-2*(l - 3390280)*(l + 4)**2
Determine t, given that 5*t**4/6 - 494165*t**3/3 - 2965025*t**2/6 - 988345*t/3 = 0.
-2, -1, 0, 197669
What is n in -2*n**2 - 4253780*n - 2261830536050 = 0?
-1063445
Factor -5*c**2 - 212463435*c - 212463430.
-5*(c + 1)*(c + 42492686)
Solve -55118*i**2/9 + 55112*i/3 + 6 = 0 for i.
-9/27559, 3
Factor u**2/2 + 106561*u/2 - 1279020.
(u - 24)*(u + 106585)/2
What is h in -2*h**4 + 10612*h**3 + 320162*h**2 - 10612*h - 320160 = 0?
-30, -1, 1, 5336
Determine n so that -4*n**5 + 23540*n**4 - 2166156*n**3 + 66912508*n**2 - 690197888*n = 0.
0, 31, 5792
Factor s**2/9 - 342359*s/3.
s*(s - 1027077)/9
Suppose -g**4 - 150699*g**3 - 452088*g**2 = 0. What is g?
-150696, -3, 0
Let 4*d**5 - 6188*d**4 - 24864*d**3 + 74192*d**2 + 396800*d + 397056 = 0. What is d?
-4, -2, 4, 1551
Factor -3*i**3 + 31708632*i**2 + 31708635*i.
-3*i*(i - 10569545)*(i + 1)
Factor 8*a**2 - 41510*a + 31128.
2*(a - 5188)*(4*a - 3)
What is i in -2*i**3/5 - 24205084*i**2/5 - 77456192*i - 1549123328/5 = 0?
-12102526, -8
Factor -2*k**2/7 + 50277924*k/7 - 201111664/7.
-2*(k - 25138958)*(k - 4)/7
Let 2*d**2/3 - 6906172*d/3 = 0. Calculate d.
0, 3453086
Factor -4*d**2 - 930260920*d - 54086586204952900.
-4*(d + 116282615)**2
Solve 36571836*j**5 - 2694356*j**4 - 931501*j**3 + 16860*j**2 + 7475*j + 250 = 0.
-10/111, -5/82, 1/7
Determine n so that 2*n**3 + 6058*n**2 + 36292*n + 48368 = 0.
-3023, -4, -2
Factor -4*p**3 + 1168*p**2 + 15772*p + 26840.
-4*(p - 305)*(p + 2)*(p + 11)
Suppose -35*t**5 - 3665*t**4 - 107450*t**3 - 924500*t**2 - 577640*t + 243040 = 0. What is t?
-62, -28, -14, -1, 2/7
Let 4*z**2 - 3869192*z + 935665420804 = 0. Calculate z.
483649
Determine i so that -16*i**5 - 85532*i**4 - 2533896*i**3 - 18498780*i**2 + 4784400*i = 0.
-5316, -15, 0, 1/4
Factor 4*p**3/7 - 8560*p**2 - 51670512*p/7 - 10837711872/7.
4*(p - 15808)*(p + 414)**2/7
Let 4*g**4/7 - 88720*g**3/7 - 16546500*g**2/7 - 11502000*g = 0. Calculate g.
-180, -5, 0, 22365
Find y, given that -5*y**2 + 9367380*y - 9367375 = 0.
1, 1873475
Solve -2*g**4/15 - 364*g**3/15 - 16256*g**2/15 - 3468*g + 104118/5 = 0.
-111, -67, -7, 3
Find j, given that -j**4 + 104296*j**3 - 208588*j**2 = 0.
0, 2, 104294
Factor -4*f**2 - 69769080*f - 304232782752900.
-4*(f + 8721135)**2
Suppose 2*t**4/5 + 114*t**3/5 - 469804*t**2/5 - 456*t/5 + 1879184/5 = 0. What is t?
-514, -2, 2, 457
Suppose 7*c**4 - 221664*c**3 + 2349523830*c**2 - 8438106097496*c + 1083462169621323 = 0. What is c?
933/7, 10511
Suppose 6*t**5/11 - 532648*t**4/11 - 19893398*t**3/11 - 43517888*t**2/11 + 710216*t/11 + 24867360/11 = 0. What is t?
-35, -2, -1, 2/3, 88812
Determine k, given that -44*k**4/15 + 8586*k**3 - 257770*k**2/3 - 90234*k + 64174/15 = 0.
-1, 1/22, 11, 2917
Find y, given that -5*y**5 - 160815*y**4 - 3535715*y**3 - 6589005*y**2 - 3214100*y = 0.
-32141, -20, -1, 0
Suppose -2*o**2/3 + 227240*o/3 + 4092264 = 0. What is o?
-54, 113674
Suppose 2*z**4/9 + 89383528*z**3/3 + 3994707538863392*z**2/3 + 178530526575903543503488*z/9 = 0. What is z?
-44691764, 0
Find u, given that u**3/2 + 5593961*u**2 - 22375847*u/2 + 5593962 = 0.
-11187924, 1
Let -2*q**2/7 + 123796440*q/7 + 247592888/7 = 0. What is q?
-2, 61898222
Solve 2*y**5 - 532*y**4 - 3878*y**3 + 15328*y**2 - 10920*y = 0 for y.
-10, 0, 1, 2, 273
Factor 2*q**3 + 7242*q**2 + 7204878*q + 1144403910.
2*(q + 195)*(q + 1713)**2
Determine u, given that u**2/2 - 24363*u/2 + 35214436 = 0.
3352, 21011
Factor -2*v**2/13 + 16086*v/13 + 1381760/13.
-2*(v - 8128)*(v + 85)/13
Factor 3*v**2 - 126984510*v + 1343755481661675.
3*(v - 21164085)**2
Find x, given that -6*x**4 - 114500*x**3 - 152504*x**2 + 2900368*x - 1831872 = 0.
-19082, -6, 2/3, 4
Factor -d**3/2 - 29792*d**2 - 855078277*d/2 + 488246178699.
-(d - 1062)*(d + 30323)**2/2
Factor -139*w**4/9 + 133256*w**3/3 - 11504*w**2/9.
-w**2*(w - 2876)*(139*w - 4)/9
Suppose -27*a**2/4 + 2470083*a/2 - 548907/4 = 0. What is a?
1/9, 182969
Factor -3*d**4 + 1800483*d**3 + 3600975*d**2 + 1800489*d.
-3*d*(d - 600163)*(d + 1)**2
Find w, given that 3*w**3 - 348495*w**2 + 10121950041*w - 70836575061 = 0.
7, 58079
Solve -3783235*x**3 - 7566498*x**2 - 3783291*x - 28 = 0.
-1, -28/3783235
Let -3*g**4 - 33846*g**3 - 540807*g**2 - 439284*g + 1013940 = 0. Calculate g.
-11266, -15, -2, 1
Find y, given that -2*y**3 - 4810*y**2 - 1868046*y + 5647482 = 0.
-1917, -491, 3
Factor -205*m**3/6 + 136222*m**2/3 + 443*m/2.
-m*(m - 1329)*(205*m + 1)/6
Solve -38*a**5 + 719944*a**4 - 9279246*a**3 + 39307724*a**2 - 53315008*a - 6058560 = 0.
-2/19, 4, 5, 18933
Solve 3*r**4 + 30801*r**3 + 104257719*r**2 + 112312460547*r - 13657324421070 = 0.
-3459, 110
Determine v so that -v**3 - 595*v**2 - 57100*v - 912000 = 0.
-480, -95, -20
Solve -2*b**3/5 + 103156*b**2/5 - 618882*b/5 + 928296/5 = 0.
3, 51572
Find r such that 2*r**4 - 2444*r**3 + 217856*r**2 + 443052*r + 222750 = 0.
-1, 99, 1125
Let -4*m**4 - 62367824*m**3 = 0. What is m?
-15591956, 0
Factor -3*w**2 + 2299071*w - 13794318.
-3*(w - 766351)*(w - 6)
Let -3*s**5/2 - 444999*s**4/2 + 3115089*s**3/2 - 7565289*s**2/2 + 3782661*s - 1335060 = 0. What is s?
-148340, 1, 2, 3
Find w, given that 12*w**4 + 5098*w**3 - 1422432*w**2 + 230978*w + 1658496 = 0.
-617, -1, 7/6, 192
Let -j**3 + 178062*j**2 + 6945939*j = 0. What is j?
-39, 0, 178101
Factor 5*g**3 - 403695*g**2 + 149655600*g - 13901883660.
5*(g - 80367)*(g - 186)**2
Factor -y**2/4 + 36537*y/4 - 21850081/2.
-(y - 35299)*(y - 1238)/4
Suppose -35*h**2 + 276835*h + 6226620 = 0. Calculate h.
-157/7, 7932
Suppose -5*w**3 + 590295*w**2 - 590280*w - 1180580 = 0. Calculate w.
-1, 2, 118058
Factor -5*k**2 + 117483170*k - 690114761662445.
-5*(k - 11748317)**2
Let 2*u**3/3 - 420*u**2 + 61750*u + 4225000/3 = 0. Calculate u.
-20, 325
Solve 2*w**2/3 + 41500*w/3 + 165904 = 0.
-20738, -12
Solve 4*b**4/7 + 617432288*b**3/7 + 4538364528404736*b**2 + 544859083899235193582080*b/7 - 2179436843893807471326208/7 = 0 for b.
-51452692, 4
What is l in -2*l**2 + 10994*l + 2361456 = 0?
-207, 5704
Factor -2*g**2/13 + 35482288*g/13 - 157374095214368/13.
-2*(g - 8870572)**2/13
Suppose 2*z**3 + 862316*z**2 + 93146625762*z + 42665176456920 = 0. Calculate z.
-215349, -460
What is k in 2*k**4/11 + 1664*k**3/11 - 5021580*k**2/11 + 2013414256*k/11 + 183494318 = 0?
-2189, -1, 679
Find z such that -3*z**4/2 + 11184*z**3 - 20429061*z**2 - 1557987120*z - 58217649075/2 = 0.
-37, 3765
Find j, given that -44*j**4 + 116284*j**3 - 5017560*j**2 + 17380832*j + 3326720 = 0.
-2/11, 4, 40, 2599
Factor -l**3 - 57285*l**2 - 11985750*l.
-l*(l + 210)*(l + 57075)
Factor u**3/4 - 1049*u**2/2 - 291869*u/4 - 144885/2.
(u - 2229)*(u + 1)*(u + 130)/4
Factor -5*j**2 - 12065345*j - 639449240.
-5*(j + 53)*(j + 2413016)
Factor -4*h**2 - 507928*h + 6095712.
-4*(h - 12)*(h + 126994)
Determine y, given that -2*y**3/5 - 2769622*y**2/5 - 191770981456*y - 2876539795296/5 = 0.
-692404, -3
Let -14*d**4/3 + 2372*d**3/3 + 102314*d**2/3 - 45632*d/3 - 19680 = 0. Calculate d.
-36, -4/7, 1, 205
Let y**4/2 - 2195*y**3/2 - 1249421*y**2 - 288550418*y + 2698953660 = 0. Calculate y.
-442, 9, 3070
Solve -3*t**5 + 462915*t**4 + 2314713*t**3 - 9721599*t**2 + 10647414*t - 3703440 = 0 for t.
-8, 1, 154310
Suppose 15*p**3 + 13212020*p**2 + 4404005*p = 0. What is p?
-880801, -1/3, 0
Factor f**3/2 - 50295*f**2/2 - 1939361*f + 1964508.
(f - 50372)*(f - 1)*(f + 78)/2
Factor 5*g**2 - 288000*g + 7484620.
5*(g - 57574)*(g - 26)
Solve -1737*y**3/4 + 588837*y**2/4 - 146268*y - 507 = 0 for y.
-2/579, 1, 338
Solve 5*p**3 + 6387360*p**2 + 12774705*p + 6387350 = 0 for p.
-1277470, -1
Factor -k**3 + 61600*k**2 + 3082551*k - 3144150.
-(k - 61650)*(k - 1)*(k + 51)
Determine u so that -4*u**3/5 - 146864*u**2/5 - 1388526016*u/5 - 737129446656/5 = 0.
-18076, -564
Factor 4*k**2/9 - 7007912*k/9 + 3069426912484/9.
4*(k - 875989)**2/9
Factor a**4/9 - 461*a**3/9 - 276466*a**2/3 - 268396700*a/9 - 26392367192/9.
(a - 1283)*(a + 274)**3/9
Factor -v**4 - 1205*v**3 + 93368*v**2 + 94572*v.
-v*(v - 74)*(v + 1)*(v + 1278)
Factor s**3/8 + 89*s**2/8 - 1225*s/8 - 1313/8.
(s - 13)*(s + 1)*(s + 101)/8
Factor -4*s**2 