10 - 4566 = 0.
5, 9132
Solve 94249*l**4/3 + 1037353*l**3/3 + 6755*l**2/3 + 11*l/3 = 0.
-11, -1/307, 0
Let o**4 + 9099*o**3 - 18202*o**2 = 0. What is o?
-9101, 0, 2
Factor -4*i**3 - 16*i**2 + 560*i.
-4*i*(i - 10)*(i + 14)
Factor 2*r**4 + 1238*r**3 + 6114*r**2 - 15950*r + 8596.
2*(r - 1)**2*(r + 7)*(r + 614)
Factor -r**4/2 + 785*r**3/2 - 4662*r**2 + 18584*r - 24736.
-(r - 773)*(r - 4)**3/2
Suppose y**2/6 + 1087*y/2 + 1629 = 0. Calculate y.
-3258, -3
Factor 5*x**5 + 30*x**4 - 15*x**3 - 100*x**2 - 60*x.
5*x*(x - 2)*(x + 1)**2*(x + 6)
Find v, given that -v**2/8 - 106397*v/2 - 11320321609/2 = 0.
-212794
Find c such that -5*c**2 - 43880*c + 703360 = 0.
-8792, 16
Factor 5*d**4 + 340*d**3 + 5815*d**2 + 19340*d + 18060.
5*(d + 2)**2*(d + 21)*(d + 43)
Factor -25590*o**2 + 25595*o - 5.
-5*(o - 1)*(5118*o - 1)
Find j, given that -242*j**3/3 + 67364*j**2/3 - 24472*j/3 + 2224/3 = 0.
2/11, 278
Suppose -2*v**3/3 - 14926*v**2/3 - 9280240*v + 9285216 = 0. What is v?
-3732, 1
Factor -4*i**4 - 168*i**3 - 1760*i**2.
-4*i**2*(i + 20)*(i + 22)
Factor 4*v**2 - 27320*v + 54624.
4*(v - 6828)*(v - 2)
Suppose -3*g**5 + 306*g**4 + 4305*g**3 + 20364*g**2 + 38448*g + 22080 = 0. What is g?
-4, -1, 115
Suppose i**4/2 + 144937*i**3/2 + 5251900893*i**2/2 + 15754688135*i/2 + 5251466089 = 0. Calculate i.
-72467, -2, -1
Determine t, given that 2*t**2 - 27232*t + 27230 = 0.
1, 13615
Solve -2*o**3 + 7062*o**2 - 486990*o + 8479450 = 0.
35, 3461
Find a, given that 5*a**2/6 + 20*a/3 - 15/2 = 0.
-9, 1
Find j such that 4*j**2 + 248*j - 289920 = 0.
-302, 240
Solve 2*k**2 - 38566*k + 154232 = 0.
4, 19279
Let 2*c**4/9 + 562*c**3/9 + 15718*c**2/9 - 54562*c/9 - 23240/3 = 0. What is c?
-249, -35, -1, 4
What is h in -h**2/6 - 35*h + 7056 = 0?
-336, 126
Solve -5*u**5 - 12520*u**4 + 138100*u**3 - 565470*u**2 + 1018305*u - 679050 = 0.
-2515, 2, 3
Factor 2*k**4 + 66*k**3 + 288*k**2 + 224*k.
2*k*(k + 1)*(k + 4)*(k + 28)
Let -o**5/9 + 2033*o**4/9 - 1032253*o**3/9 - 115373*o**2 + 229842*o = 0. What is o?
-2, 0, 1, 1017
Factor 2*o**2/5 + 298*o/5 + 11088/5.
2*(o + 72)*(o + 77)/5
Solve 132*i**5 + 1360*i**4 + 4096*i**3 + 4288*i**2 + 960*i = 0.
-6, -2, -10/33, 0
Let -2*r**2 + 344450*r = 0. What is r?
0, 172225
Factor 2*a**4/15 - 272*a**3/5 + 99248*a**2/15 - 1089088*a/5 + 32064032/15.
2*(a - 182)**2*(a - 22)**2/15
Find m such that 4*m**4 + 75328*m**3 + 472280040*m**2 + 982158458400*m - 22840398319500 = 0.
-6285, 23
What is k in 2*k**2 + 91444*k + 1045250642 = 0?
-22861
Find g such that g**2/12 + g/12 - 88 = 0.
-33, 32
Let -2*z**2 + 2230*z + 2232 = 0. Calculate z.
-1, 1116
Suppose -3*i**3 + 219*i**2 - 2736*i = 0. Calculate i.
0, 16, 57
Factor -u**2 + 21793*u/3 - 7264/3.
-(u - 7264)*(3*u - 1)/3
Factor -10962721*h**2/3 + 13244*h/3 - 4/3.
-(3311*h - 2)**2/3
Let s**2 - 10398*s - 10399 = 0. Calculate s.
-1, 10399
Factor -116*o**2 + 10268*o + 4984.
-4*(o - 89)*(29*o + 14)
Suppose -s**3/4 + 871*s**2/4 - 2599*s/2 + 1730 = 0. Calculate s.
2, 4, 865
Factor -530450*x**2/3 + 53560*x/3 - 1352/3.
-2*(515*x - 26)**2/3
Factor 5*x**3 - 7530*x**2 + 398745*x + 406280.
5*(x - 1451)*(x - 56)*(x + 1)
Factor 2*p**2/9 - 2584*p/9 + 10304/9.
2*(p - 1288)*(p - 4)/9
Factor -5*g**2/3 + 374270*g/3 - 124755.
-5*(g - 74853)*(g - 1)/3
What is a in 2*a**3/7 - 19912*a**2/7 - 45568*a - 1276416/7 = 0?
-8, 9972
Let 5*k**5 - 940*k**4 - 13080*k**3 + 2830*k**2 + 37315*k - 26130 = 0. Calculate k.
-13, -2, 1, 201
Find l such that l**4/4 - 39*l**3/2 - 93*l**2/4 + 541*l/2 + 474 = 0.
-3, -2, 4, 79
Determine r, given that -3*r**3 - 4608261*r**2 - 1769674757805*r - 1769670149547 = 0.
-768043, -1
Factor -2*a**4/7 - 16826*a**3/7 - 35397696*a**2/7 - 35380872*a/7.
-2*a*(a + 1)*(a + 4206)**2/7
Let -2*s**5/17 + 14598*s**4/17 - 26601182*s**3/17 - 133268790*s**2/17 - 186675632*s/17 - 80022624/17 = 0. What is s?
-3, -1, 3652
Let -39*v**4/5 + 10611*v**3/5 + 42123*v**2/5 + 28989*v/5 - 2484/5 = 0. Calculate v.
-3, -1, 1/13, 276
Factor -2*w**2/3 + 2606*w/3 + 21232.
-2*(w - 1327)*(w + 24)/3
What is v in 6*v**2/11 + 7488*v = 0?
-13728, 0
Factor -4*o**3/9 + 2324*o**2/9 + 188404*o/9 + 3586780/9.
-4*(o - 655)*(o + 37)**2/9
Find x such that 5*x**3/3 + 1423*x**2/3 - 1636*x - 1152 = 0.
-288, -3/5, 4
Determine a, given that 4*a**2/5 + 952*a/5 + 19008/5 = 0.
-216, -22
Let -3*m**3 + 6399*m**2 + 3*m - 6399 = 0. What is m?
-1, 1, 2133
Factor -y**2/6 + 915*y/2 + 25191.
-(y - 2799)*(y + 54)/6
Factor 2*j**3/5 + 204*j**2/5 - 1778*j/5 - 396.
2*(j - 9)*(j + 1)*(j + 110)/5
Factor 7*p**3/8 - 269*p**2/8 + 1149*p/4 - 117.
(p - 26)*(p - 12)*(7*p - 3)/8
Determine j, given that -j**5/4 - 15129*j**4/4 + 30263*j**3/4 + 15129*j**2/4 - 15131*j/2 = 0.
-15131, -1, 0, 1, 2
Suppose -260*q**3 + 16105*q**2 - 14930*q - 915 = 0. What is q?
-3/52, 1, 61
Factor p**3/4 + 431*p**2/2 + 2559*p/4 - 7731/2.
(p - 3)*(p + 6)*(p + 859)/4
Determine o so that -3*o**2/4 + 87*o/2 + 756 = 0.
-14, 72
Let 6*j**3/11 + 12*j**2/11 - 3576*j/11 - 1872 = 0. Calculate j.
-22, -6, 26
Factor 2*f**2 + 43064*f + 231813512.
2*(f + 10766)**2
Factor w**2/3 - 146174*w + 16025128707.
(w - 219261)**2/3
Solve 95*n**3 - 5900*n**2 - 5365*n + 630 = 0 for n.
-1, 2/19, 63
Let 4*t**4/5 - 2688*t**3/5 + 451568*t**2/5 + 10752*t/5 - 1806336/5 = 0. What is t?
-2, 2, 336
Factor 2*u**3/7 + 710*u**2/7 + 37904*u/7 - 4837704/7.
2*(u - 57)*(u + 206)**2/7
Factor -2*q**4/5 - 62276*q**3/5 - 484725242*q**2/5 + 193927464*q - 96969960.
-2*(q - 1)**2*(q + 15570)**2/5
Factor -2*i**2/7 - 295010*i/7.
-2*i*(i + 147505)/7
Factor -m**2/2 - 757*m/2 + 19747.
-(m - 49)*(m + 806)/2
Determine l so that 4*l**5/9 + 22310*l**4/9 + 10375078*l**3/3 + 46648816*l**2/9 + 15545888*l/9 = 0.
-2788, -1, -1/2, 0
Find a, given that -a**3 + 6*a**2 + 117*a + 270 = 0.
-6, -3, 15
Find g, given that -5*g**4/4 - 10210*g**3 + 102185*g**2 - 327080*g + 327120 = 0.
-8178, 2, 4
Factor 1682*i**2/5 + 25752*i + 492840.
2*(29*i + 1110)**2/5
Factor z**2/7 + 33*z/7 - 5734/7.
(z - 61)*(z + 94)/7
Determine w, given that 2*w**5/7 + 20*w**4/7 + 30*w**3/7 - 20*w**2/7 - 32*w/7 = 0.
-8, -2, -1, 0, 1
Let -q**4 + 278*q**3 - 10801*q**2 + 29928*q = 0. What is q?
0, 3, 43, 232
Factor c**3 + 3635*c**2 + 43512*c + 130428.
(c + 6)**2*(c + 3623)
Solve 3*w**3 - 7008*w**2 + 34983*w - 41958 = 0 for w.
2, 3, 2331
Solve -2866*c**2/11 - 20066*c/11 - 28/11 = 0.
-7, -2/1433
Suppose 3*w**4/2 + 321*w**3/2 + 5097*w**2 + 41478*w - 104652 = 0. What is w?
-54, -38, -17, 2
Factor 25*a**2 + 6065*a + 3630.
5*(a + 242)*(5*a + 3)
Solve 5*k**2 - 23450*k = 0 for k.
0, 4690
Let i**2 + 324*i - 3685 = 0. What is i?
-335, 11
Solve -f**4/2 + 31*f**3 - 749*f**2/2 - 2566*f - 2160 = 0 for f.
-4, -1, 27, 40
Factor -4*t**2 - 6281960*t - 2466438840100.
-4*(t + 785245)**2
Let -c**3 - 1992*c**2 + 48240*c - 290304 = 0. Calculate c.
-2016, 12
Determine d, given that 2*d**2/3 + 15034*d/3 + 15032/3 = 0.
-7516, -1
Solve -2*l**5 + 62*l**4 - 362*l**3 - 1326*l**2 + 2124*l + 3024 = 0 for l.
-3, -1, 2, 12, 21
Solve 4*n**2 + 2364*n + 88160 = 0.
-551, -40
Find t such that -4*t**4 - 4720*t**3 - 51576*t**2 - 163760*t - 116900 = 0.
-1169, -5, -1
Solve 5*u**4 - 15055*u**3 + 15090075*u**2 - 5014774125*u - 20301502500 = 0.
-4, 1005
Let 324*p**2/7 - 274176*p + 406024192 = 0. What is p?
26656/9
Factor 2*k**3 + 2316*k**2 + 666432*k.
2*k*(k + 534)*(k + 624)
Factor 2*v**2/7 + 36448*v + 1162399616.
2*(v + 63784)**2/7
Suppose -2*k**2/5 - 1612*k/5 - 22176/5 = 0. What is k?
-792, -14
Factor 2*c**5/7 + 150802*c**4/7 + 3790006110*c**3/7 + 4534832319050*c**2 - 127035954683000*c/7.
2*c*(c - 4)*(c + 25135)**3/7
Solve 2*u**2 + 1264*u + 8750 = 0.
-625, -7
Factor -2*r**3/15 + 916*r**2/5 - 7974*r.
-2*r*(r - 1329)*(r - 45)/15
Suppose -4*l**2/5 + 84*l - 5096/5 = 0. Calculate l.
14, 91
Factor 5*v**3 - 265*v**2 + 1880*v - 3600.
5*(v - 45)*(v - 4)**2
Solve -3*f**4 - 325260*f**3 - 8815847034*f**2 + 17632669860*f - 8816497563 = 0 for f.
-54211, 1
Let -4*d**2 + 9604*d - 38352 = 0. What is d?
4, 2397
Solve -30*q**5/11 - 10848*q**4 + 525456*q**3/11 - 668928*q**2/11 + 17376*q = 0.
-3982, 0, 2/5, 2
Suppose -243*p**5/4 - 186840*p**4 - 415029*p**3/4 + 73797*p**2 - 9225*p = 0. What is p?
-3075, -1, 0, 2/9
Factor -3*u**2 + 22044*u - 658620.
-3*(u - 7318)*(u - 30)
Factor -5*p**2/3 - 3110*p + 207680/3.
-5*(p - 22)*(p + 1888)/3
Factor -2*t**2/15 - 16280*t - 496947000.
-2*(t + 61050)**2/15
Find w, given t