5168
Factor -4*w**2 - 2480868*w - 14885064.
-4*(w + 6)*(w + 620211)
Determine c, given that 6*c**5/11 - 1418*c**4/11 - 123170*c**3/11 - 78150*c**2/11 + 284204*c/11 - 81472/11 = 0.
-67, -2, 1/3, 1, 304
Factor -2916*c**3 + 53483544*c**2 + 459723776*c + 987670400.
-4*(c - 18350)*(27*c + 116)**2
Find i such that -3*i**2/4 + 818403*i/4 - 58485141/2 = 0.
143, 272658
Factor -5*c**2 + 22425*c - 4529380.
-5*(c - 4273)*(c - 212)
Let -4*l**3 + 11988868*l**2 + 131878032*l = 0. Calculate l.
-11, 0, 2997228
Find a such that 2*a**4/5 - 13162*a**3/5 - 65904*a**2/5 + 289672*a/5 + 737632/5 = 0.
-7, -2, 4, 6586
What is z in z**2 + 29404144*z + 216150921093184 = 0?
-14702072
Suppose -p**5 + 166*p**4 + 3707*p**3 - 332812*p**2 - 2707556*p + 171106496 = 0. What is p?
-34, 29, 176
Let 3*i**4/7 + 3765*i**3/7 + 1057878*i**2/7 + 86410812*i/7 + 85356696/7 = 0. What is i?
-898, -178, -1
Suppose 2*c**2/7 - 6050*c/7 + 3490448/7 = 0. What is c?
776, 2249
Determine u so that -2*u**5 + 12066*u**4 + 765450*u**3 + 16111494*u**2 + 112910112*u = 0.
-21, 0, 6096
Find w, given that 3*w**5 + 3444*w**4 + 994821*w**3 + 3399708*w**2 - 151783632*w - 459366336 = 0.
-572, -13, -3, 12
Factor 2*q**2/9 + 505004236*q/9 - 56111582.
2*(q - 1)*(q + 252502119)/9
Determine f so that 5*f**2 + 362335*f - 43552200 = 0.
-72587, 120
Determine b, given that -b**3/4 - 5229*b**2/4 - 18283*b/2 - 15666 = 0.
-5222, -4, -3
Let -24*k**4 + 12129306*k**3 - 18193941*k**2/2 + 18193935*k/8 - 1516161/8 = 0. What is k?
1/4, 505387
Solve 14*p**5/13 - 146376*p**4/13 - 522932*p**3/13 - 188280*p**2/13 + 188262*p/13 = 0.
-3, -1, 0, 3/7, 10459
Determine y so that 5*y**5 - 270*y**4 + 1445*y**3 + 9900*y**2 - 23500*y = 0.
-5, 0, 2, 10, 47
Factor o**3/2 - 12869*o**2/2 + 2317315*o/2 - 105061047/2.
(o - 12687)*(o - 91)**2/2
Suppose -2*v**3/9 + 51466*v**2 - 8940995002*v/3 + 509469515798/9 = 0. What is v?
19, 115789
What is x in -2*x**4/5 + 1592*x**3 + 170844*x**2/5 - 2241592*x - 11370842/5 = 0?
-49, -1, 29, 4001
Factor 5*y**2 + 25205*y - 74703450.
5*(y - 2094)*(y + 7135)
Let -4*q**3 - 19681440*q**2 + 59044396*q + 196814520 = 0. What is q?
-4920363, -2, 5
Factor 2*k**2/11 - 3764*k/11 + 1549184/11.
2*(k - 1274)*(k - 608)/11
Factor -4*r**2/3 - 2637112*r/3 + 41317700.
-4*(r - 47)*(r + 659325)/3
Suppose -338*x**4/17 - 26650*x**3/17 - 471928*x**2/17 - 3016928*x/17 - 6135936/17 = 0. Calculate x.
-57, -116/13, -4
Find l, given that -5*l**5 - 3025*l**4 + 307055*l**3 - 3952775*l**2 + 3648750*l = 0.
-695, 0, 1, 14, 75
Solve -10018608649*f**3/6 - 250464715760*f**2/3 + 50046475*f/6 - 625/3 = 0 for f.
-50, 5/100093
Determine y, given that -4356*y**5 - 7605400*y**4 - 3327122560*y**3 - 6495994240*y**2 - 2333890560*y + 875962368 = 0.
-872, -12/11, 2/9
Suppose 5*s**3 - 1587*s**2 + 42246*s + 25920 = 0. Calculate s.
-3/5, 30, 288
Suppose 2*i**4/11 - 67136*i**3/11 + 563069532*i**2/11 + 5635731520*i/11 + 14093526050/11 = 0. What is i?
-5, 16789
Factor p**3/5 + 137028162*p**2/5 + 4694179295274561*p/5.
p*(p + 68514081)**2/5
Let 5*r**3 + 121045*r**2 + 704280520*r - 345977959600 = 0. Calculate r.
-12332, 455
Solve -3*p**2 + 3617256*p - 141068421 = 0.
39, 1205713
Factor -2*k**2/9 + 255412*k/3 - 8154411218.
-2*(k - 191559)**2/9
Factor 90808*z**2/11 + 45552*z/11 + 74/11.
2*(2*z + 1)*(22702*z + 37)/11
What is u in -4*u**4 - 1492684*u**3 - 139243906560*u**2 + 2367577816848*u = 0?
-186594, 0, 17
Suppose 3*a**2/5 + 636*a/5 - 2336004 = 0. What is a?
-2082, 1870
Factor -3*u**2 - 132277458*u - 1458110491245147.
-3*(u + 22046243)**2
Determine y, given that 4*y**5 + 1384*y**4 - 18424*y**3 + 87104*y**2 - 176268*y + 129240 = 0.
-359, 2, 3, 5
Factor 4*y**2 + 28138516*y.
4*y*(y + 7034629)
Factor 2*n**2/13 - 33236*n/13 + 132319344/13.
2*(n - 10006)*(n - 6612)/13
Factor -3*u**2 + 55998*u + 7898520.
-3*(u - 18806)*(u + 140)
Suppose -2*v**4/5 + 1018*v**3/5 - 19616*v**2 - 216920*v = 0. What is v?
-10, 0, 145, 374
Let -2*k**4/11 + 2050*k**3/11 - 621554*k**2/11 + 48519054*k/11 - 71631540 = 0. What is k?
22, 85, 459
Let -n**4/9 - 796*n**3/3 - 9485*n**2/9 + 40546*n/3 + 14304 = 0. What is n?
-2384, -9, -1, 6
Determine b, given that b**2/2 - 13579*b + 3762920 = 0.
280, 26878
Determine z so that 2*z**4/3 + 444*z**3 - 13528*z**2/3 - 1776*z + 54080/3 = 0.
-676, -2, 2, 10
Factor -4*m**2 - 36684*m - 60204920.
-4*(m + 2141)*(m + 7030)
Determine n so that 5*n**5/4 - 225*n**4/2 - 17435*n**3/2 + 189630*n**2 - 4936015*n/4 + 5170725/2 = 0.
-63, 5, 7, 134
Solve -2*q**4/7 + 164*q**3 - 1450*q**2 - 11300*q/7 = 0.
-1, 0, 10, 565
Determine k so that 5*k**3 - 2208255*k**2 + 243820611375*k - 243818403125 = 0.
1, 220825
What is s in -4*s**4/3 + 3800*s**3/3 - 956404*s**2/3 + 8342560*s + 27931200 = 0?
-3, 33, 460
Suppose 4*y**3 - 23832*y**2 + 1461956*y + 1485792 = 0. Calculate y.
-1, 63, 5896
Let -2*s**3/21 - 464864*s**2/21 - 1549494*s/7 - 464844 = 0. Calculate s.
-232422, -7, -3
What is v in v**5 + 863*v**4 - 33516*v**3 - 9468868*v**2 + 514240720*v - 504739200 = 0?
-888, -116, 1, 70
Solve k**3/3 + 143*k**2/3 - 1563666*k + 4690560 = 0.
-2240, 3, 2094
Factor -5*m**2 + 6110*m - 898605.
-5*(m - 1051)*(m - 171)
Solve -2*u**2/7 + 2612*u + 62064790/7 = 0 for u.
-2635, 11777
Determine s so that 5*s**2 + 104910*s - 4415040 = 0.
-21024, 42
Suppose o**5/10 + 8497*o**4/10 + 616023*o**3/10 + 9026559*o**2/10 + 3752892*o = 0. Calculate o.
-8424, -55, -9, 0
Factor 5*i**2 - 46105*i + 552540.
5*(i - 9209)*(i - 12)
Solve -14*z**2/5 - 350208*z/5 + 710710 = 0.
-25025, 71/7
Find o, given that 1720*o**4 - 6020006*o**3 - 12025880*o**2 + 42024*o = 0.
-2, 0, 3/860, 3502
Determine h so that h**5 + 166*h**4 - 48063*h**3 - 8184976*h**2 + 16703012*h + 24839760 = 0.
-194, -1, 3, 220
Let -x**5/7 - 28375*x**4 + 3376869*x**3/7 - 8938847*x**2/7 + 8541592*x/7 - 397284 = 0. Calculate x.
-198642, 1, 14
Suppose 2*h**5 - 38020*h**4/9 + 78590*h**3/3 + 214840*h**2/9 - 6552*h = 0. What is h?
-1, 0, 2/9, 7, 2106
Let 2*v**3/15 - 126016*v**2/3 + 7560694*v/15 - 6930616/15 = 0. Calculate v.
1, 11, 315028
Determine w, given that -4*w**2 + 307256*w - 2457792 = 0.
8, 76806
Let 4*y**2 - 71175284*y - 284701200 = 0. What is y?
-4, 17793825
Factor 132*u**3 + 35103*u**2 + 67302*u - 4752.
3*(u + 2)*(u + 264)*(44*u - 3)
What is d in -404*d**4/3 + 32188*d**3 - 251656*d**2 + 1508096*d/3 - 9856 = 0?
2/101, 4, 231
Determine b, given that -3*b**2 - 572856*b - 1718541 = 0.
-190949, -3
Suppose -g**3 - 16595*g**2 - 33171*g + 248895 = 0. What is g?
-16593, -5, 3
Factor r**2 - 239*r + 13578.
(r - 146)*(r - 93)
Factor -2*q**3/17 - 29948*q**2/17 - 113357570*q/17 - 9311908200/17.
-2*(q + 84)*(q + 7445)**2/17
Solve 2*k**5/3 + 581770*k**4/3 + 42301514174*k**3/3 - 267987552574*k**2 - 578275843632*k - 296187980256 = 0 for k.
-145452, -1, 21
Find p, given that -p**4/3 + 4265*p**3 + 25598*p**2 + 153604*p/3 + 34136 = 0.
-2, 12801
Find r such that -2*r**2/7 - 1416139408*r/7 - 250681352861323808/7 = 0.
-354034852
Factor 2*k**3/3 + 72716*k**2/3 - 1310832*k.
2*k*(k - 54)*(k + 36412)/3
Let -538*h**2/5 + 506854*h/5 + 507392/5 = 0. What is h?
-1, 253696/269
Factor 2*x**2/3 + 9406*x/3 + 62440.
2*(x + 20)*(x + 4683)/3
Determine j, given that -4*j**5 - 12878*j**4/5 - 37188*j**3/5 - 6346*j**2/5 + 41048*j/5 + 15384/5 = 0.
-641, -2, -3/2, -2/5, 1
Find t such that -2*t**5/3 + 580*t**4/3 + 22986*t**3 - 5521024*t**2/3 + 10832864*t/3 - 1793792 = 0.
-132, 1, 56, 364
Find f such that -5*f**3 + 22900*f**2 + 4866380*f + 63627200 = 0.
-190, -14, 4784
Solve -t**4 - 193*t**3 - 928*t**2 + 2292*t + 6768 = 0 for t.
-188, -6, -2, 3
Suppose -4*a**3 - 30861*a**2 + 1139581*a + 286824 = 0. What is a?
-7752, -1/4, 37
Solve -4*q**4/3 + 7076*q**3 + 356300*q**2 + 13392500*q/3 = 0 for q.
-25, 0, 5357
Let 2*s**4/11 + 8635340*s**3/11 + 9321128479104*s**2/11 - 18642291499584*s/11 = 0. Calculate s.
-2158836, 0, 2
Factor 5*n**2/6 + 11077850*n/3 - 22155715/2.
5*(n - 3)*(n + 4431143)/6
Suppose -5*s**4 + 25325*s**3 + 87734090*s**2 + 60241380700*s - 120833900280 = 0. What is s?
-1262, 2, 7587
Factor -3*w**2 - 240207966*w - 4808322244154763.
-3*(w + 40034661)**2
Factor -4*n**3 - 12992*n**2 - 12598804*n - 3829795992.
-4*(n + 733)**2*(n + 1782)
Suppose -d**2/2 - 94703*d/2 - 2744705 = 0. Calculate d.
-94645, -58
Factor 2*f**4/3 + 1189120*f**3/3 + 58916535892*f**2 - 353502782720*f/3 + 176751985922/3.
2*(f - 1)**2*(f + 297281