7
Factor -g**4/8 + 205*g**3/8 - 1647*g**2 + 25272*g + 513216.
-(g - 72)**3*(g + 11)/8
Find k such that 5*k**5/3 - 9865*k**4/3 + 113710*k**3 - 1281240*k**2 + 4183200*k + 5581440 = 0.
-1, 12, 1938
Determine w, given that -w**5 - 51937*w**4/3 - 23079*w**3 + 121181*w**2/3 + 23080*w - 69244/3 = 0.
-17311, -2, -1, 2/3, 1
Determine n so that -n**3 + 9789*n**2 + 58761*n + 88155 = 0.
-3, 9795
Suppose -27535*m**2 + 27545*m - 10 = 0. Calculate m.
2/5507, 1
Suppose 3*c**4 - 1131*c**3 + 4488*c**2 - 4476*c = 0. Calculate c.
0, 2, 373
Solve -3*b**4 + 1074*b**3 - 97179*b**2 + 186900*b + 285156 = 0 for b.
-1, 3, 178
Factor -5*p**3 + 385*p**2 - 380*p.
-5*p*(p - 76)*(p - 1)
Solve l**2/5 - 53*l + 1044/5 = 0 for l.
4, 261
Factor -4*i**2 - 128900*i - 386664.
-4*(i + 3)*(i + 32222)
Determine q, given that 28*q**4 + 684*q**3 - 512*q**2 - 2736*q + 1600 = 0.
-25, -2, 4/7, 2
Determine f so that -2*f**2 + 2772*f + 5552 = 0.
-2, 1388
Suppose 7*j**2 - 516703*j - 147630 = 0. Calculate j.
-2/7, 73815
Suppose -2*m**5 - 112*m**4 + 484*m**3 + 54104*m**2 - 623282*m + 1627208 = 0. What is m?
-41, 4, 11
Find d such that 44*d**3/7 + 19484*d**2/7 + 21368*d - 27840/7 = 0.
-435, -8, 2/11
Factor -5*i**4 + 170*i**3 - 620*i**2 + 600*i.
-5*i*(i - 30)*(i - 2)**2
Suppose 12*q**4 - 976820*q**3 + 6511756*q**2 - 12697692*q + 5860440 = 0. What is q?
2/3, 3, 81395
Let g**2/6 + 20692*g/3 - 13795/2 = 0. What is g?
-41385, 1
Factor -2*r**2/9 - 11290*r/9 - 30064/3.
-2*(r + 8)*(r + 5637)/9
Suppose -c**4/2 - 21*c**3/2 + 1422*c**2 - 4158*c = 0. What is c?
-66, 0, 3, 42
Solve a**2/8 - 1439*a/4 + 1437 = 0 for a.
4, 2874
Determine h, given that 3*h**2 + 4029*h + 148770 = 0.
-1305, -38
What is p in 38*p**4/11 + 160*p**3/11 - 9696*p**2/11 + 46592*p/11 + 10240/11 = 0?
-20, -4/19, 8
Solve 98*m**4/5 + 9352*m**3/5 + 220424*m**2/5 - 128256*m/5 + 18432/5 = 0 for m.
-48, 2/7
Suppose q**3 - 941*q**2 + 149479*q - 148539 = 0. Calculate q.
1, 201, 739
Find c, given that c**3 - 902*c**2 + 253260*c - 20861064 = 0.
146, 378
Factor l**4 + 182*l**3/5 - 953*l**2/5 - 82*l.
l*(l - 5)*(l + 41)*(5*l + 2)/5
Suppose u**3/2 + 30*u**2 - 1747*u/2 + 2337 = 0. What is u?
-82, 3, 19
Find f, given that -2*f**4/15 + 76*f**3/15 - 448*f**2/15 + 404*f/15 + 62 = 0.
-1, 3, 5, 31
Let -d**3 - 1496*d**2 - 23708*d - 41440 = 0. What is d?
-1480, -14, -2
Factor -2*i**2/5 - 36*i/5 + 10990.
-2*(i - 157)*(i + 175)/5
Suppose -u**5/5 - 14237*u**4/5 - 10127485*u**3 + 253628657*u**2/5 + 304251846*u/5 = 0. What is u?
-7121, -1, 0, 6
Factor -2*c**2/5 - 10544*c/5 - 10542/5.
-2*(c + 1)*(c + 5271)/5
Find x, given that -8*x**5 + 1286*x**4/3 - 2200*x**3 + 2710*x**2 - 3176*x/3 + 128 = 0.
1/4, 1/3, 1, 4, 48
Solve 2*h**4/23 - 380*h**3/23 + 7968*h**2/23 = 0.
0, 24, 166
Determine g so that -g**3/2 + 221*g**2/2 + 25965*g/2 + 629775/2 = 0.
-45, 311
Factor -3*f**3/8 - 231*f**2/4 - 23091*f/8 - 94299/2.
-3*(f + 43)**2*(f + 68)/8
What is d in -d**2/3 - 1339*d/3 + 5404 = 0?
-1351, 12
Suppose 3*b**2 + 4053*b + 12132 = 0. Calculate b.
-1348, -3
Factor 4*d**2 + 737504*d + 33994509376.
4*(d + 92188)**2
Factor c**3 + 96765*c**2 + 2340817923*c - 2340914689.
(c - 1)*(c + 48383)**2
Determine u, given that -2*u**5/5 + 64*u**4/5 + 434*u**3/5 + 824*u**2/5 + 456*u/5 = 0.
-3, -2, -1, 0, 38
Determine f, given that -5*f**3 + 238835*f**2 - 2852227275*f + 2851988445 = 0.
1, 23883
Suppose -h**3 + 88208*h**2 - 1945162816*h = 0. What is h?
0, 44104
Solve -2*y**2/13 + 345252*y/13 - 14899867938/13 = 0 for y.
86313
What is u in 2*u**5 - 8406*u**4 - 16828*u**3 + 33636*u**2 + 16826*u - 25230 = 0?
-3, -1, 1, 4205
Let -5*b**4 + 1185*b**3 + 4805*b**2 + 3615*b = 0. Calculate b.
-3, -1, 0, 241
Find w such that w**3 - 318690*w**2 + 25390829025*w = 0.
0, 159345
Let -5*y**5 + 395*y**4 - 8915*y**3 + 39285*y**2 + 106920*y + 58320 = 0. Calculate y.
-1, 9, 36
Solve -3*z**4 + 4469*z**3/3 + 6470*z**2/3 + 664*z = 0 for z.
-1, -4/9, 0, 498
Factor 2*i**2 - 7884*i - 23670.
2*(i - 3945)*(i + 3)
Suppose -2*w**5/15 - 5306*w**4/15 + 354*w**3 + 5306*w**2/15 - 5308*w/15 = 0. What is w?
-2654, -1, 0, 1
Find d, given that -3*d**3 - 20748*d**2 + 415860*d - 2080800 = 0.
-6936, 10
Factor a**4/2 - 8893*a**3 + 79032073*a**2/2 + 237336384*a + 356124672.
(a - 8896)**2*(a + 3)**2/2
Solve g**2/2 + 915*g + 76841/2 = 0 for g.
-1787, -43
Solve -2*s**4/5 + 972*s**3/5 - 2898*s**2/5 = 0 for s.
0, 3, 483
Let -3*s**3 - 12021*s**2 + 120435*s - 301275 = 0. Calculate s.
-4017, 5
Suppose 1587*k**4 - 32155656*k**3 + 162882378354*k**2 + 14163867432*k + 307911483 = 0. What is k?
-1/23, 10131
Find c such that 4*c**4 + 864*c**3 + 48316*c**2 + 175536*c - 224720 = 0.
-106, -5, 1
Factor 2*t**4/7 + 132*t**3/7 - 272*t**2/7.
2*t**2*(t - 2)*(t + 68)/7
Factor -q**2/2 + 698*q - 1395/2.
-(q - 1395)*(q - 1)/2
What is d in -2*d**4/7 + 2054*d**3/7 - 530436*d**2/7 + 225280*d - 1048576/7 = 0?
1, 2, 512
Let 22*b**4/5 - 19868*b**3/5 + 5981472*b**2/5 - 600503428*b/5 + 54541802/5 = 0. Calculate b.
1/11, 301
Factor 5*q**3 + 175*q**2 - 12440*q + 24140.
5*(q - 34)*(q - 2)*(q + 71)
Let 4*m**5 + 316*m**4 - 2476*m**3 - 5884*m**2 - 3096*m = 0. What is m?
-86, -1, 0, 9
Solve -8*o**4 - 446*o**3 - 1186*o**2 - 1066*o - 318 = 0.
-53, -1, -3/4
Determine a, given that 4*a**5 + 60*a**4 + 100*a**3 - 60*a**2 - 104*a = 0.
-13, -2, -1, 0, 1
Factor -4*u**2 + 1148*u - 4528.
-4*(u - 283)*(u - 4)
Suppose -v**3/5 - 12367*v**2/5 + 9896*v - 49484/5 = 0. Calculate v.
-12371, 2
Find d, given that -5*d**4 - 2515*d**3 + 49500*d**2 - 46980*d = 0.
-522, 0, 1, 18
What is f in -24*f**2/5 - 226*f/5 + 28 = 0?
-10, 7/12
Let 2*h**2/15 - 6272*h/15 - 12584/3 = 0. What is h?
-10, 3146
Suppose -4*f**3 + 768*f**2 + 4*f - 768 = 0. Calculate f.
-1, 1, 192
Solve -f**5/3 - 31*f**4/3 - 10*f**3 + 1624*f**2/3 + 3136*f/3 = 0 for f.
-28, -8, -2, 0, 7
Factor -2*i**3/3 - 616*i**2 - 1846*i/3.
-2*i*(i + 1)*(i + 923)/3
Let 68*i**5 + 3640*i**4 + 70080*i**3 + 558080*i**2 + 1392640*i - 786432 = 0. Calculate i.
-16, -6, 8/17
Factor j**3 - 43*j**2 - 16560*j + 1109700.
(j - 90)**2*(j + 137)
Solve -n**2 - 1956*n - 5859 = 0 for n.
-1953, -3
Determine o so that -2*o**5/9 + 260602*o**4/9 - 8489044996*o**3/9 - 8489566204*o**2/9 + 943227222*o + 943256178 = 0.
-1, 1, 65151
What is a in -3*a**5/7 - 3393*a**4/7 - 1176561*a**3/7 - 122928411*a**2/7 - 3991632408*a/7 - 3869877168/7 = 0?
-492, -73, -1
Suppose -19*b**4/2 - 14153*b**3/2 - 54731*b**2/2 + 76313*b/2 - 3705 = 0. Calculate b.
-741, -5, 2/19, 1
Determine a, given that -5*a**3 + 1450*a**2 + 39505*a - 40950 = 0.
-26, 1, 315
Find o, given that o**4 - 8607*o**3 + 25814*o**2 - 17208*o = 0.
0, 1, 2, 8604
Factor 3*k**2 - 30*k - 4968.
3*(k - 46)*(k + 36)
Suppose 4*i**2/5 + 2832*i/5 - 40432/5 = 0. What is i?
-722, 14
Find v such that -v**4 - 1817*v**3 - 893874*v**2 - 60739168*v + 125068384 = 0.
-868, -83, 2
Determine c so that -4*c**2 + 40580*c - 40576 = 0.
1, 10144
Solve -507*z**5 - 2262*z**4/5 + 49041*z**3/5 - 14892*z**2/5 + 228*z = 0.
-5, 0, 2/13, 19/5
Solve -s**5/7 + 690*s**4/7 + 7667*s**3/7 + 30768*s**2/7 + 7604*s + 33648/7 = 0.
-4, -3, -2, 701
Let 2*s**4 - 326*s**3 - 1326*s**2 - 1666*s - 668 = 0. What is s?
-2, -1, 167
Solve -w**3/4 + 748*w**2 + 2995*w/4 - 2993/2 = 0.
-2, 1, 2993
Let -2*t**4/19 + 3090*t**3/19 - 1185738*t**2/19 - 6024850*t/19 + 7207500/19 = 0. What is t?
-6, 1, 775
Determine q so that -14*q**2/3 + 20366*q/3 - 14540/3 = 0.
5/7, 1454
Factor -2*q**3 - 128*q**2 + 1480*q.
-2*q*(q - 10)*(q + 74)
Suppose -5*w**2 + 5215*w - 389610 = 0. What is w?
81, 962
Determine f, given that 3*f**2/7 - 7830*f/7 = 0.
0, 2610
What is y in 3*y**3 + 64617*y**2 + 348430512*y + 5211928980 = 0?
-10762, -15
Determine t so that t**4/2 + 56*t**3 + 831*t**2/2 - 56*t - 416 = 0.
-104, -8, -1, 1
Let -3*a**4 + 426*a**3 - 4029*a**2 + 9150*a - 5544 = 0. What is a?
1, 2, 7, 132
Determine i, given that -3*i**2 - 1647*i + 57618 = 0.
-582, 33
Let -g**3/4 + 3381*g**2/2 - 11431161*g/4 = 0. What is g?
0, 3381
Determine c so that -4501*c**5/4 - 657*c**4/2 + 13495*c**3/4 - 1265*c**2 - 651*c - 4 = 0.
-2, -2/7, -4/643, 1
Let -4*c**3 - 3032*c**2 - 41716*c - 38688 = 0. Calculate c.
-744, -13, -1
Find z such that -52*z**2 - 39096*z + 6016 = 0.
-752, 2/13
What is w in 2*w**5 + 62*w**4 + 386*w**3 + 338*w**2 - 1828*w - 1840 = 0?
-23, -5, -4, -1, 2
Solve -49*r**3/2 - 51422*r**2 + 58792*r - 16800 = 0.
-2100, 4/7
Factor -2*c