 a.
436, 361308
Factor 2235*f**3 + 1675925*f**2 + 314053125*f - 45703125.
5*(f + 375)**2*(447*f - 65)
Determine p, given that -2*p**5/5 - 69*p**4 - 14698*p**3/5 - 226287*p**2/5 - 1141776*p/5 - 516132/5 = 0.
-118, -27, -18, -9, -1/2
Find o such that 4*o**2 + 5220180*o - 10440376 = 0.
-1305047, 2
Find c such that -2*c**4/7 - 5816*c**3/7 + 8*c**2/7 + 23264*c/7 = 0.
-2908, -2, 0, 2
Determine i, given that 2*i**3/3 - 11392*i**2 + 2886310*i/3 + 23804200 = 0.
-20, 105, 17003
Factor -2*w**3 + 13315874*w**2 - 53263472*w + 53263464.
-2*(w - 6657933)*(w - 2)**2
Factor -4*s**2/7 - 3304548*s/7 + 49569120/7.
-4*(s - 15)*(s + 826152)/7
Suppose 3*s**4/4 - 3957*s**3/4 + 48336*s**2 + 209220*s = 0. What is s?
-4, 0, 55, 1268
Let -2*x**2/5 - 231852*x/5 - 927376/5 = 0. What is x?
-115922, -4
Solve -l**2/5 + 520279*l/5 - 3641904/5 = 0 for l.
7, 520272
Suppose 2*v**2 - 87160*v + 50219328 = 0. What is v?
584, 42996
Find u such that -2*u**4/13 - 3514*u**3/13 - 1884052*u**2/13 - 324180440*u/13 - 1878013200/13 = 0.
-931, -410, -6
Factor 2*g**2 + 47224*g + 49654854.
2*(g + 1103)*(g + 22509)
What is n in -2*n**4/9 - 236*n**3/9 + 1762*n**2/9 + 21812*n/3 = 0?
-123, -14, 0, 19
Factor n**5/3 + 32408*n**4 + 97222*n**3 + 291664*n**2/3 + 32407*n.
n*(n + 1)**3*(n + 97221)/3
Factor 4*j**3 - 187624*j**2 + 11617556*j - 11429936.
4*(j - 46844)*(j - 61)*(j - 1)
Solve 2*i**3 + 25182*i**2 + 854004*i + 1607296 = 0 for i.
-12557, -32, -2
Find h, given that 5*h**4/4 + 825*h**3/4 - 32310*h**2 - 375485*h - 620100 = 0.
-260, -9, -2, 106
Factor -o**3/6 - 2199*o**2/2 + 183680*o - 22730482/3.
-(o - 82)**2*(o + 6761)/6
Let 2*n**5 + 22917*n**4/2 + 8656725*n**3/2 + 36468985*n**2/2 + 34254711*n/2 + 3209769 = 0. What is n?
-5323, -402, -3, -1, -1/4
Solve 4*m**3/3 - 5107*m**2/3 - 1189589*m/3 - 99026 = 0.
-201, -1/4, 1478
Factor 2*b**4 - 295304*b**3 - 48470200*b**2 - 1987829568*b.
2*b*(b - 147816)*(b + 82)**2
Find y such that -8*y**3 - 132158660*y**2 + 330396712*y + 198238020 = 0.
-16519835, -1/2, 3
Factor -3*g**2 + 8232624*g - 5648008160448.
-3*(g - 1372104)**2
Determine n so that 30*n**3/11 - 420306*n**2/11 + 8478060*n/11 - 1678800/11 = 0.
1/5, 20, 13990
Factor i**2/4 - 342235*i/2 - 33541431/4.
(i - 684519)*(i + 49)/4
Factor -3*f**2/5 + 6033363*f/5 + 108601506/5.
-3*(f - 2011139)*(f + 18)/5
Solve o**3/8 + 83443*o**2/8 - 83445*o/4 = 0 for o.
-83445, 0, 2
Factor -5*z**2 + 2822917930*z - 398443281975774245.
-5*(z - 282291793)**2
Solve -2*m**3 + 508632*m**2 + 2034570*m - 2543200 = 0 for m.
-5, 1, 254320
Suppose 3*p**4/8 + 62097*p**3/8 - 93165*p**2/4 - 31053*p = 0. What is p?
-20702, -1, 0, 4
Find r such that -3*r**3/7 - 27*r**2/7 + 40395*r/7 - 1673181/7 = 0.
-137, 59, 69
Determine t so that 3*t**4 + 28614*t**3 + 66441600*t**2 + 45388172346*t - 45454642563 = 0.
-6481, -1529, 1
Let -276*h**5 + 27895*h**4 + 54937*h**3 - 3914*h**2 = 0. What is h?
-2, 0, 19/276, 103
Find u such that -3*u**2 - 5767200*u - 80740212 = 0.
-1922386, -14
Solve 2*z**5/7 - 4318*z**4/7 - 39128*z**3/7 + 225472*z**2/7 = 0.
-13, 0, 4, 2168
Factor 5*g**4 + 403200*g**3.
5*g**3*(g + 80640)
Let v**4 + 45080*v**3 - 90165*v**2 - 45080*v + 90164 = 0. What is v?
-45082, -1, 1, 2
Let 2*w**3/9 + 30*w**2 - 135746*w/9 - 887642/3 = 0. What is w?
-329, -19, 213
Suppose -2*b**4/5 + 7224*b**3/5 - 696754*b**2 - 1211134260*b + 12179577200 = 0. Calculate b.
-668, 10, 2135
Suppose -m**2 - 10763*m + 1196030 = 0. What is m?
-10873, 110
Solve -3*j**3 - 1023*j**2 + 22512*j - 106428 = 0.
-362, 7, 14
Factor 3*r**3 + 3135834*r**2 - 6271677*r + 3135840.
3*(r - 1)**2*(r + 1045280)
Factor -s**4 - 5250*s**3 - 280637*s**2 - 275388*s.
-s*(s + 1)*(s + 53)*(s + 5196)
Let -4*v**5 - 700*v**4 - 18164*v**3 + 81916*v**2 - 63048*v = 0. What is v?
-142, -37, 0, 1, 3
Solve -4*i**2 - 101660*i + 305016 = 0.
-25418, 3
What is w in 4*w**5 + 11088*w**4 + 7683788*w**3 - 543792*w**2 - 377845776*w - 922078080 = 0?
-1386, -5, -3, 8
Solve -2*b**2/5 - 57146*b/5 + 859440 = 0.
-28648, 75
What is r in r**4/2 - 203*r**3 - 6854*r**2 - 67060*r - 171696 = 0?
-14, -4, 438
Factor -p**2/4 + 59097829*p/4.
-p*(p - 59097829)/4
Suppose x**4 - 12587*x**3 + 12577*x**2 + 113283*x - 113274 = 0. Calculate x.
-3, 1, 3, 12586
Let -5*v**5 + 716390*v**4 + 5015015*v**3 - 5731400*v**2 = 0. What is v?
-8, 0, 1, 143285
Let -4908*t**2 - 933*t + 3975 = 0. What is t?
-1, 1325/1636
Let -4*g**4 + 2430*g**3 - 377714*g**2 + 2528400*g + 25740000 = 0. Calculate g.
-11/2, 13, 300
Determine i, given that 4*i**4/5 - 1064*i**3/5 - 35776*i**2/5 + 75776*i/5 = 0.
-32, 0, 2, 296
Factor a**2/6 + 75515*a/6 + 628875.
(a + 50)*(a + 75465)/6
Solve -h**5/4 - 14799285*h**4/4 - 3699821*h**3 = 0 for h.
-14799284, -1, 0
Factor 2*x**2/11 - 557110*x/11 + 557108/11.
2*(x - 278554)*(x - 1)/11
Factor 2*f**3 + 117128578*f**2 + 1714887797344880*f - 5144664446191896.
2*(f - 3)*(f + 29282146)**2
Factor i**2 + 5252549*i + 42020328.
(i + 8)*(i + 5252541)
Factor 3*y**3/4 + 4449633*y**2/4 + 11124045*y/2.
3*y*(y + 5)*(y + 1483206)/4
Determine t so that 2*t**3/3 - 3739664*t**2/3 + 1748135854112*t/3 = 0.
0, 934916
Solve 4*m**5 + 5134*m**4 - 106818*m**3 + 143516*m**2 + 99104*m = 0.
-1304, -1/2, 0, 2, 19
Factor 4*a**2 - 25716*a + 5007312.
4*(a - 6228)*(a - 201)
Factor 3*k**3 + 96462*k**2 + 773767332*k - 26419717272.
3*(k - 34)*(k + 16094)**2
Find o such that 4*o**5 - 749020*o**4 - 77941344*o**3 = 0.
-104, 0, 187359
Solve -2*g**4/15 - 205798*g**3/15 - 54870*g**2 + 2263670*g/3 - 2057900/3 = 0 for g.
-102895, -10, 1, 5
Suppose 2*h**4/5 + 3428*h**3/5 + 236586*h**2/5 + 226312*h/5 - 466328/5 = 0. What is h?
-1642, -71, -2, 1
Solve 5*s**3/2 - 221252020*s**2 + 4895245192903970*s + 19580984311648360 = 0 for s.
-4, 44250406
Factor 5*p**2 - 576050*p - 5184855.
5*(p - 115219)*(p + 9)
Determine k, given that 2*k**2/7 + 2823382*k/7 + 25410276/7 = 0.
-1411682, -9
Solve 2064*i**5 + 78430*i**4 + 1040180*i**3 + 5348880*i**2 + 7128000*i - 6912 = 0 for i.
-12, -2, 1/1032
Solve 2*o**2 - 8276308*o + 8562159263858 = 0.
2069077
Solve -m**2 + 13085156*m - 42805326886084 = 0 for m.
6542578
Find g, given that -9*g**2 + 3112*g - 107143 = 0.
349/9, 307
Factor 2*d**2/13 - 108495828*d/13 + 1471418086675698/13.
2*(d - 27123957)**2/13
Factor -2*c**2/3 + 26535040*c/3 - 88013543475200/3.
-2*(c - 6633760)**2/3
Suppose -7*c**3 - 1230*c**2 + 376672*c - 107520 = 0. What is c?
-336, 2/7, 160
Let -r**3 + 107677*r**2 - 2898530243*r - 2898637921 = 0. What is r?
-1, 53839
Factor q**4 - 103*q**3 - 658*q**2 + 36040*q.
q*(q - 106)*(q - 17)*(q + 20)
Determine b, given that -2*b**5/17 - 47242*b**4/17 - 330590*b**3/17 + 141730*b**2/17 + 1086272*b/17 + 661192/17 = 0.
-23614, -7, -1, 2
Factor i**2/4 + 3040837*i/4 + 760209.
(i + 1)*(i + 3040836)/4
Suppose -2*s**3/7 - 664338*s**2/7 + 1328690*s/7 + 284718 = 0. What is s?
-332171, -1, 3
Factor 3*d**2 - 581871*d + 59900886.
3*(d - 193854)*(d - 103)
Let 4*b**3 + 652764*b**2 + 627770556*b + 151381232100 = 0. What is b?
-162225, -483
Find n such that -n**4/7 + 62*n**3/7 - 68*n**2 - 158*n/7 + 795 = 0.
-3, 5, 7, 53
Determine x, given that -5*x**4 + 107590*x**3 + 5067320*x**2 + 9811850*x + 4852125 = 0.
-45, -1, 21565
Solve 3*l**5/5 - 12408*l**4/5 + 74367*l**3/5 - 111522*l**2/5 + 9912*l = 0.
0, 1, 4, 4130
Factor -2*l**2/3 - 26587182*l.
-2*l*(l + 39880773)/3
Let 2*p**3/5 + 914162*p**2/5 + 104473860374*p/5 + 2820127845366/5 = 0. Calculate p.
-228527, -27
What is a in 9*a**4/2 - 10093*a**3/2 + 37360*a**2 - 45686*a + 13368 = 0?
4/9, 1, 6, 1114
Factor -4*l**4 - 1436796*l**3 - 8620680*l**2 - 17241296*l - 11494176.
-4*(l + 2)**3*(l + 359193)
Factor 2*i**2/5 - 1120978*i/5 + 8967696/5.
2*(i - 560481)*(i - 8)/5
What is a in -5948*a**4 - 6358414*a**3 - 69153586*a**2 + 75492556*a + 25392 = 0?
-1058, -12, -1/2974, 1
Factor -125*z**4/3 - 776164325*z**3 - 4819448475221645*z**2 - 29925471781141498534517*z/3.
-z*(5*z + 31046573)**3/3
Factor -5*c**2/6 + 214490*c/3 + 286000.
-5*(c - 85800)*(c + 4)/6
Factor 3*l**3 + 47643*l**2 + 200825937*l + 91199015505.
3*(l + 515)*(l + 7683)**2
Solve -432*f**5 - 828504*f**4 + 967965*f**3 + 1513950*f**2 - 270573*f + 11514 = 0 for f.
-1919, -1, 1/12, 2
Suppose 4*k**5/3 - 1541*k**4 - 172807*k**3/3 - 13148*k**2 + 42912*k = 0. What is k?
-36, -1, 0, 3/4, 1192
Solve -3*m**2 - 2048613*m + 12291786 = 0.
-682877, 6
What is m in 22477835*m**2 - 22477820*m - 15 =