
Factor t**4 - 23*t**3 - 302*t**2 - 900*t - 792.
(t - 33)*(t + 2)**2*(t + 6)
Find c, given that 128*c**5/3 - 1022*c**4/3 + 2032*c**3/3 + 32*c**2/3 = 0.
-1/64, 0, 4
Solve -2*h**2/5 + 4108*h/5 - 28658/5 = 0.
7, 2047
Factor 4*d**2/7 - 312*d/7 - 36352/7.
4*(d - 142)*(d + 64)/7
What is q in -55308*q**3/5 - 50302*q**2/5 + 120652*q/5 + 48/5 = 0?
-2, -1/2514, 12/11
Determine g, given that 2*g**3/5 - 714*g**2/5 - 37884*g/5 - 37168/5 = 0.
-46, -1, 404
Factor -h**3 - 1329*h**2 - 444864*h - 2191220.
-(h + 5)*(h + 662)**2
Let 3*b**4/5 - 12*b**3 - 9*b**2/5 + 174*b/5 + 24 = 0. What is b?
-1, 2, 20
Let 3*l**2 + 183*l - 1206 = 0. Calculate l.
-67, 6
Factor 4*f**2 - 576*f - 6820.
4*(f - 155)*(f + 11)
Find g such that 4*g**5/7 + 40*g**4/7 - 4260*g**3/7 + 33080*g**2/7 - 28864*g/7 = 0.
-41, 0, 1, 8, 22
Find i, given that 190*i**2/13 + 106*i/13 - 84/13 = 0.
-1, 42/95
Let 5*l**4 - 180*l**3 + 1295*l**2 + 180*l - 1300 = 0. What is l?
-1, 1, 10, 26
Suppose 5*d**4 - 4510*d**3 + 376645*d**2 - 372140*d = 0. Calculate d.
0, 1, 92, 809
What is c in -4*c**5 + 4*c**4 + 488*c**3 - 2704*c**2 + 5152*c - 3328 = 0?
-13, 2, 8
Factor -3*x**4/4 - 5613*x**3.
-3*x**3*(x + 7484)/4
Let 9*w**3/4 + 27219*w**2 - 72587*w/4 + 6049/2 = 0. Calculate w.
-12098, 1/3
Let -4*o**2 - 48200*o - 145202500 = 0. Calculate o.
-6025
Let -3*i**5 + 288*i**4 - 7191*i**3 + 13254*i**2 = 0. What is i?
0, 2, 47
Determine l so that 19*l**5/3 + 499*l**4/2 + 15745*l**3/6 + 19625*l**2/6 + 1539*l/2 - 361/3 = 0.
-19, -1, -1/2, 2/19
Find f, given that -15*f**5/2 - 309*f**4/2 - 849*f**3/2 + 1425*f**2/2 + 2088*f - 918 = 0.
-17, -3, 2/5, 2
What is w in -50*w**2/11 - 821560*w/11 - 3374804168/11 = 0?
-41078/5
Factor -3*b**4/2 - 30*b**3 - 102*b**2 - 96*b.
-3*b*(b + 2)**2*(b + 16)/2
Suppose 2*j**4 + 2118*j**3 - 21426*j**2 - 49198*j - 25656 = 0. What is j?
-1069, -1, 12
Factor 3*a**2/4 - 645*a/4 - 657.
3*(a - 219)*(a + 4)/4
Solve 5*q**4 - 305*q**3 - 1280*q**2 - 1300*q = 0.
-2, 0, 65
Determine t so that 15*t**5 - 141066*t**4 + 331406244*t**3 + 1194552552*t**2 + 796819968*t - 531062784 = 0.
-2, 2/5, 4704
Factor -4*t**3 + 595476*t**2 - 4763616*t + 9527104.
-4*(t - 148861)*(t - 4)**2
Let -q**5/2 - 2707*q**4/2 - 1811563*q**3/2 + 27588939*q**2/2 - 66536568*q + 100025334 = 0. Calculate q.
-1361, 3, 6
Factor a**4/6 + 5222*a**3/3.
a**3*(a + 10444)/6
Find f such that f**2/5 - 566*f - 76960 = 0.
-130, 2960
Determine h so that -4*h**2 + 30684*h - 30680 = 0.
1, 7670
Let -5*m**5 - 1425*m**4 - 1405*m**3 + 4285*m**2 + 7110*m + 2840 = 0. What is m?
-284, -1, 2
Factor -2*j**2/3 - 13316*j/3 - 146234/3.
-2*(j + 11)*(j + 6647)/3
Determine x, given that 4*x**3 + 162668*x**2 + 162664*x = 0.
-40666, -1, 0
Solve -2*o**3 + 74*o**2 + 56320*o - 4428600 = 0 for o.
-183, 110
Suppose -r**2/4 - 113*r + 11925/4 = 0. Calculate r.
-477, 25
Determine p so that 12*p**4 - 567*p**3 + 129*p**2 + 567*p - 141 = 0.
-1, 1/4, 1, 47
Factor 5*a**2/2 - 103825*a/2 + 363265.
5*(a - 20758)*(a - 7)/2
Suppose 4*q**2 - 1048*q + 3108 = 0. Calculate q.
3, 259
Factor 3*r**3/7 + 1083*r**2/7 - 3270*r/7 + 312.
3*(r - 2)*(r - 1)*(r + 364)/7
Suppose h**3/4 + 269*h**2/4 = 0. What is h?
-269, 0
Find v, given that v**3/5 + 478*v**2/5 - v/5 - 478/5 = 0.
-478, -1, 1
Solve -o**5/2 - 27*o**4/2 - 153*o**3/2 + 391*o**2/2 - 105*o = 0 for o.
-15, -14, 0, 1
Factor -r**2/3 - 803*r/3 - 3682.
-(r + 14)*(r + 789)/3
Factor -15*x**2 + 3085179*x + 1234074.
-3*(x - 205679)*(5*x + 2)
Factor 1458*d**5/13 + 1520208*d**4/13 + 1013040*d**3/13 + 225088*d**2/13 + 16672*d/13.
2*d*(d + 1042)*(9*d + 2)**3/13
Determine x, given that x**3/6 - 316*x**2 - 11419*x/6 + 2219 = 0.
-7, 1, 1902
Solve -n**4 + 1784*n**3 - 792084*n**2 - 3196944*n = 0.
-4, 0, 894
Suppose -2*k**4 + 26*k**3 + 118*k**2 - 1386*k - 4356 = 0. Calculate k.
-6, -3, 11
Factor -2*z**3 + 626*z**2 - 64022*z + 2124150.
-2*(z - 119)**2*(z - 75)
Factor -q**2/4 - 245*q + 1976.
-(q - 8)*(q + 988)/4
What is u in u**4/7 - 15913*u**3/7 + 143160*u**2/7 - 381712*u/7 + 36352 = 0?
1, 4, 15904
Let j**3 + 230*j**2 + 11193*j - 242064 = 0. Calculate j.
-123, 16
Solve 547*v**2/6 - 68*v/3 = 0 for v.
0, 136/547
Solve -2*n**5 - 68*n**4 - 458*n**3 - 1128*n**2 - 936*n = 0 for n.
-26, -3, -2, 0
Find x such that -4*x**3/3 + 112*x**2/3 - 548*x/3 + 440/3 = 0.
1, 5, 22
What is v in 5*v**4/8 - 1147*v**3/8 - 2167*v**2/8 + 73815*v/8 - 14553/4 = 0?
-9, 2/5, 7, 231
Find k such that -243*k**3/2 - 409968*k**2 - 182199*k/2 - 5061 = 0.
-3374, -1/9
Solve x**3/2 - 5522*x**2 + 15246242*x = 0 for x.
0, 5522
Let 11336*g**2 - 4412*g + 20 = 0. Calculate g.
1/218, 5/13
Factor -p**3/8 - 191*p**2/8 - 189*p/4.
-p*(p + 2)*(p + 189)/8
Suppose f**5/6 - 11*f**4/6 - 221*f**3/6 + 2035*f**2/6 + 6500*f/3 - 42250/3 = 0. Calculate f.
-10, 5, 13
Factor 5*j**2 + 83290*j.
5*j*(j + 16658)
Factor -392*z**2/3 - 17644*z - 540.
-4*(z + 135)*(98*z + 3)/3
Find u, given that -4*u**3/11 - 2507*u**2/11 + 57*u = 0.
-627, 0, 1/4
Solve 3*m**2 + 19368*m + 154752 = 0 for m.
-6448, -8
Find f such that f**2 + 1489593*f = 0.
-1489593, 0
Solve 2*r**3/13 + 198*r**2/13 + 316*r/13 - 1920 = 0 for r.
-96, -13, 10
Determine z so that -6*z**3/11 + 3492*z**2/11 + 137646*z/11 - 141132/11 = 0.
-38, 1, 619
Find q, given that -q**3/4 + 415*q**2/4 + 7244*q + 7140 = 0.
-60, -1, 476
Determine l, given that -l**3/5 + 179*l**2 + 17348*l/5 + 16452/5 = 0.
-18, -1, 914
Determine l so that 3*l**5 - 2847*l**4 + 682512*l**3 - 3341760*l**2 = 0.
0, 5, 472
Solve -w**2/6 + 145*w/6 - 864 = 0.
64, 81
Solve o**5/4 + 1337*o**4/4 + 1333*o**3/2 - 1337*o**2 - 2670*o = 0 for o.
-1335, -2, 0, 2
Suppose -k**5 - 18735*k**4/4 - 26909*k**3 - 49124*k**2 - 23388*k + 9356 = 0. What is k?
-4678, -2, 1/4
Find m such that 5*m**4 - 945*m**3 - 13070*m**2 - 12120*m = 0.
-12, -1, 0, 202
Factor 2*f**2/3 + 432*f - 2616.
2*(f - 6)*(f + 654)/3
Find j, given that j**5 + 24*j**4 + 55*j**3 - 1620*j**2 - 6356*j - 4704 = 0.
-14, -3, -1, 8
Factor 3*s**2 - 11049*s + 22086.
3*(s - 3681)*(s - 2)
What is x in -2*x**3/9 + 5372*x**2/9 - 1042150*x/3 - 74005000 = 0?
-164, 1425
Let 8*d**4 - 1380*d**3 + 34764*d**2 - 16352*d - 17040 = 0. Calculate d.
-1/2, 1, 30, 142
Factor -3*v**5 - 143955*v**4 - 1727136090*v**3 - 5180544570*v**2 - 5180256675*v - 1726704243.
-3*(v + 1)**3*(v + 23991)**2
Factor -3*q**5 - 420*q**4 - 19875*q**3 - 330510*q**2 - 603060*q - 292008.
-3*(q + 1)**2*(q + 46)**3
What is x in -4*x**3 + 512*x**2 + 78988*x + 2170504 = 0?
-49, 226
Find u such that -92*u**5/11 - 909*u**4/11 + 205*u**3/11 + 939*u**2/11 - 113*u/11 - 30/11 = 0.
-10, -1, -3/23, 1/4, 1
Let 2*b**5/21 + 16*b**4/21 - 118*b**3/21 + 164*b**2/21 + 88*b/21 - 208/21 = 0. What is b?
-13, -1, 2
Determine s, given that 3*s**4 - 6126*s**3 + 3014139*s**2 + 116588268*s = 0.
-36, 0, 1039
Find p such that 5*p**3 - 1780*p**2 - 28905*p + 400680 = 0.
-24, 9, 371
Factor s**2/7 - 963*s/7 + 36920/7.
(s - 923)*(s - 40)/7
Suppose -4*s**2/5 + 262248*s/5 - 4298375844/5 = 0. Calculate s.
32781
What is i in i**3 + 6264*i**2 + 9821940*i + 39187600 = 0?
-3130, -4
Let 2*w**3/9 - 302*w**2 + 65968*w/3 - 3705304/9 = 0. Calculate w.
38, 1283
What is o in 4*o**5 - 756*o**4 - 35976*o**3 - 399536*o**2 - 364320*o = 0?
-22, -18, -1, 0, 230
Factor -169*n**2/2 + 14742*n - 642978.
-(13*n - 1134)**2/2
Solve 179*k**3/4 - 88*k**2 + 167*k/4 + 3/2 = 0 for k.
-6/179, 1
Factor 2*s**3/5 - 610*s**2 + 1110854*s/5 + 40051506/5.
2*(s - 779)**2*(s + 33)/5
Solve -3*l**3/8 + 2577*l**2/8 - 2571*l/4 = 0.
0, 2, 857
Suppose o**2/5 - 673174*o/5 + 113290808569/5 = 0. Calculate o.
336587
Factor -l**4 + 8085*l**3 - 322200*l**2 + 3218000*l.
-l*(l - 8045)*(l - 20)**2
Let -2*q**2/5 - 902*q/5 + 152484/5 = 0. What is q?
-582, 131
Suppose 5*p**2 + 5245*p - 350280 = 0. What is p?
-1112, 63
Solve 4*z**3 + 68453*z**2 - 51343*z - 17114 = 0.
-17114, -1/4, 1
Suppose x**3 - 1152*x**2 + 64293*x - 920054 = 0. What is x?
29, 1094
Let -2*l**4/13 + 4362*l**3/13 + 13112*l**2/13 - 1344*l = 0. Calculate l.
-4, 0, 1, 2184
Factor -3*o**3 + 129*o**2 + 708*o + 576.
-3*(o - 48)*(o + 1)*(o + 4)
Determine r, given that 2*r**3/11 - 730*r**2/11 - 10564*r/11 - 18192/11 = 0.
-12, -2, 379
Factor 8*r**3 + 1072684*r**2.
4*r**2*(2*r + 268171)
Factor -1402*k**2/5 + 53274*k/5 + 76/5.
-2*(k - 38)*(701*k + 1)/5
What is r in 4*r**5 - 4*r**4 - 400*r**3 + 400*r**2 = 0?
-10, 0, 1, 10
Factor -f**3/5 + 192159*f**2/5 - 9231558552*f/