n**4/2 + 2881*n**3 + 4613*n**2 + 4641*n/2 + 305/2 = 0.
-61, -5, -1, -1/13
Determine l so that -l**5/4 + 37*l**4/4 + 79*l**3/2 + 121*l**2/2 + 163*l/4 + 41/4 = 0.
-1, 41
Find t such that 2*t**4/9 + 872*t**3/9 - 874*t**2/9 = 0.
-437, 0, 1
Solve 2*r**3/7 - 45476*r**2/7 - 12994*r - 45480/7 = 0 for r.
-1, 22740
Factor 2*k**3/3 - 215864*k**2/3 + 5824874170*k/3 - 11648884900/3.
2*(k - 53965)**2*(k - 2)/3
Solve 14283*u**5 - 4670955*u**4 + 4791639*u**3 - 135945*u**2 + 978*u = 0.
0, 1/69, 1, 326
Factor 3*b**5 - 309*b**4 + 4302*b**3 - 11082*b**2 + 10479*b - 3393.
3*(b - 87)*(b - 13)*(b - 1)**3
Let -2*i**2/7 + 1828*i/7 - 5466/7 = 0. Calculate i.
3, 911
Let 4*z**4 + 64*z**3 - 116*z**2 - 2256*z + 5760 = 0. Calculate z.
-15, -8, 3, 4
Find j, given that 3*j**3 + 396*j**2 - 2943*j - 3336 = 0.
-139, -1, 8
Solve 57*v**5/4 - 385*v**4 + 4131*v**3/4 + 39*v**2 - 1369*v + 24 = 0 for v.
-1, 1/57, 2, 24
Determine x, given that -x**3/4 - 2692*x**2 - 21524*x - 43040 = 0.
-10760, -4
Find a, given that -3*a**2/2 + 927*a - 21384 = 0.
24, 594
Suppose -y**2 + 4216*y - 88095 = 0. Calculate y.
21, 4195
Solve -3*c**4/2 - 663*c**3/2 - 7380*c**2 - 57504*c - 151296 = 0.
-197, -8
Determine k so that k**3/5 - 501942*k**2/5 + 1003881*k/5 - 100388 = 0.
1, 501940
Factor 5*d**4 + 19290*d**3 + 18585900*d**2 - 37249000*d.
5*d*(d - 2)*(d + 1930)**2
Determine a, given that -12*a**5 + 147692*a**4 - 454263640*a**3 - 1060506504*a**2 - 757631260*a - 151536100 = 0.
-1, -1/3, 6155
Solve -17*a**4 + 137*a**3 + 757*a**2 + 567*a - 36 = 0 for a.
-3, -1, 1/17, 12
Find u, given that -6*u**3/5 - 7908*u**2/5 - 477582*u + 29279640 = 0.
-685, 52
Solve -26*q**3 + 4406*q**2 + 2392*q - 2040 = 0 for q.
-1, 6/13, 170
Determine k so that 2*k**3 - 34424*k**2 - 68854*k - 34428 = 0.
-1, 17214
Factor -2*m**2/7 - 87456*m/7 - 956068992/7.
-2*(m + 21864)**2/7
Find n, given that -18*n**5 + 1059*n**4 - 20511*n**3 + 138897*n**2 - 192027*n = 0.
0, 11/6, 11, 23
Solve -40*k**5 - 1555*k**4 - 16525*k**3 - 37750*k**2 - 19660*k + 3080 = 0 for k.
-22, -14, -2, -1, 1/8
Determine u, given that -3*u**3 + 888*u**2 - 42672*u + 564480 = 0.
28, 240
Let -3*t**2 - 4273908*t - 1522190799372 = 0. Calculate t.
-712318
Factor b**4 - 53*b**3 - 1148*b**2 + 52716*b + 685584.
(b - 46)**2*(b + 12)*(b + 27)
Solve 3*j**3 + 294*j**2 + 7347*j + 7056 = 0.
-49, -48, -1
Solve 2*v**5 - 38240*v**4 + 243614168*v**3 - 516459723584*v**2 - 4152173211136*v + 10368237015040 = 0 for v.
-10, 2, 6376
What is h in -50*h**4/11 - 1684*h**3/11 - 15408*h**2/11 - 55232*h/11 - 69376/11 = 0?
-542/25, -4
What is d in d**4 + 83*d**3 + 1058*d**2 + 2440*d - 9792 = 0?
-68, -9, -8, 2
Solve -6*u**5/7 + 522*u**4/7 - 3456*u**3/7 + 7752*u**2/7 - 5760*u/7 = 0 for u.
0, 2, 3, 80
Determine r, given that -1436480*r**2 + 5097360*r - 4522005 = 0.
951/536
Suppose -205*a**3 - 9235*a**2 - 98030*a - 4760 = 0. Calculate a.
-28, -17, -2/41
Let -10*t**4 - 49*t**3 + 22*t**2 + 91*t + 30 = 0. Calculate t.
-5, -1, -2/5, 3/2
Factor -4*l**3 - 3500*l**2 - 711068*l - 42078772.
-4*(l + 131)**2*(l + 613)
Factor 4*h**2/7 - 1276*h + 26760/7.
4*(h - 2230)*(h - 3)/7
What is t in -2*t**5/5 - 16*t**4 - 584*t**3/5 - 716*t**2/5 + 578*t + 620 = 0?
-31, -5, -1, 2
Factor -3*l**2 + 10530*l - 94527.
-3*(l - 3501)*(l - 9)
Factor -4*z**4 - 3936*z**3 + 313168*z**2.
-4*z**2*(z - 74)*(z + 1058)
Factor -q**2 - 315184*q - 315183.
-(q + 1)*(q + 315183)
Solve -9*x**4/2 - 217*x**3/2 - 210*x**2 - 22*x = 0.
-22, -2, -1/9, 0
Determine q so that -2*q**5/15 - 13114*q**4/15 - 91724*q**3/15 - 157192*q**2/15 + 52432*q/15 + 41920/3 = 0.
-6550, -4, -2, 1
Determine w so that 5*w**3/4 + 145*w**2/4 - 2600*w - 2635 = 0.
-62, -1, 34
Determine l, given that l**4 - 41493*l**3 + 41491*l**2 + 41493*l - 41492 = 0.
-1, 1, 41492
Solve 4*a**4 - 41438*a**3 - 20730*a**2 + 103604*a - 41440 = 0.
-2, 1/2, 1, 10360
Factor -12*t**2 - 1720*t + 1152.
-4*(t + 144)*(3*t - 2)
Factor -2*p**4 + 140*p**3 - 406*p**2 + 268*p.
-2*p*(p - 67)*(p - 2)*(p - 1)
Factor 2*k**2/7 - 530*k/7 + 528/7.
2*(k - 264)*(k - 1)/7
Solve -12*r**2 + 51248*r + 17084 = 0.
-1/3, 4271
Factor 2*v**2/9 + 314*v/9 + 1340.
2*(v + 67)*(v + 90)/9
Solve -2*x**5 - 104*x**4 + 6*x**3 + 308*x**2 - 208*x = 0 for x.
-52, -2, 0, 1
Factor q**2/3 + 391*q/3 + 34798/3.
(q + 137)*(q + 254)/3
Factor -5*h**4 + 4830*h**3 + 817020*h**2 + 42994530*h + 742182345.
-5*(h - 1119)*(h + 51)**3
Determine i so that -50*i**5 - 26340*i**4 - 2999498*i**3 - 99174168*i**2 - 77906312*i - 15485952 = 0.
-384, -71, -2/5
Factor 2*q**2 - 36718*q - 110172.
2*(q - 18362)*(q + 3)
Factor -2908*m**2 - 3036*m - 128.
-4*(m + 1)*(727*m + 32)
Determine m, given that -2*m**4 - 274*m**3 + 5238*m**2 + 274*m - 5236 = 0.
-154, -1, 1, 17
Let -93*z**3 + 1146*z**2/5 + 21696*z/5 - 8832/5 = 0. What is z?
-184/31, 2/5, 8
Factor 2*g**4/3 - 26*g**3/3 - 256*g**2/3 - 160*g.
2*g*(g - 20)*(g + 3)*(g + 4)/3
Factor y**3/5 - 281*y**2/5 - 9394*y/5 + 19904/5.
(y - 311)*(y - 2)*(y + 32)/5
Factor 106340*r**2/3 + 319016*r/3 - 4.
4*(r + 3)*(26585*r - 1)/3
Factor -1604*f**2 + 548576*f - 2736.
-4*(f - 342)*(401*f - 2)
Find f such that -f**2/3 - 1425170*f/3 - 507777382225/3 = 0.
-712585
Factor 3*h**3/4 + 2679*h**2/2 - 48411*h/4 + 48465/2.
3*(h - 6)*(h - 3)*(h + 1795)/4
Solve -2*k**4 - 1060*k**3 - 53914*k**2 - 794456*k - 1926600 = 0.
-475, -26, -3
Factor 3*w**2 - 7854*w - 31464.
3*(w - 2622)*(w + 4)
Determine d, given that 18*d**2/13 + 328594*d/13 + 73020/13 = 0.
-18255, -2/9
Let -b**5 - 15*b**4/4 + 30*b**3 - 125*b**2/4 + 6*b = 0. What is b?
-8, 0, 1/4, 1, 3
Factor -4*i**3 + 4596*i**2 - 36560*i + 54768.
-4*(i - 1141)*(i - 6)*(i - 2)
Solve -v**4/2 + 389*v**3 - 150541*v**2/2 - 151710*v - 76050 = 0 for v.
-1, 390
Suppose -5*a**5 + 310*a**4 - 4430*a**3 - 49000*a**2 + 1146875*a - 1093750 = 0. What is a?
-14, 1, 25
Solve -c**5/7 + 65*c**4/7 - 407*c**3/7 - 2981*c**2/7 + 10848*c/7 - 7524/7 = 0.
-6, 1, 2, 11, 57
Let -2*k**3/3 + 11190*k**2 + 33576*k = 0. What is k?
-3, 0, 16788
Factor 5*r**3 + 3460*r**2 - 5262975*r + 1231827750.
5*(r - 405)**2*(r + 1502)
Factor -p**2/3 + 5880*p - 17637.
-(p - 17637)*(p - 3)/3
Determine q so that 4*q**3 - 180*q**2 - 2032*q + 85008 = 0.
-22, 21, 46
Let -405*f**5 - 109935*f**4 - 6719960*f**3 + 103193080*f**2 + 46854320*f + 5242640 = 0. What is f?
-142, -2/9, 13
Determine l so that -27*l**5 - 2652*l**4 - 7284*l**3 + 344112*l**2 + 2025984*l + 433152 = 0.
-94, -8, -2/9, 12
Find t such that 4*t**3/9 - 6074*t**2/9 - 3038*t/9 = 0.
-1/2, 0, 1519
Factor -x**3/4 + 271*x**2/2 - 1081*x/4 + 135.
-(x - 540)*(x - 1)**2/4
Solve -3*y**2 - 20154*y - 20151 = 0 for y.
-6717, -1
Suppose -7139584*r**3/3 - 71433248*r**2/3 - 374129*r/3 - 490/3 = 0. Calculate r.
-10, -7/2672
Suppose 2*d**5/3 + 52*d**4/3 - 182*d**3/3 - 1816*d**2/3 + 1320*d - 672 = 0. What is d?
-28, -6, 1, 6
Factor 3*z**4 - 30*z**3 + 87*z**2 - 96*z + 36.
3*(z - 6)*(z - 2)*(z - 1)**2
Factor h**3/5 - 31*h**2 - 1661*h/5 + 363.
(h - 165)*(h - 1)*(h + 11)/5
Let -4*r**4/7 - 1304*r**3/7 + 16080*r**2/7 - 48544*r/7 + 43264/7 = 0. What is r?
-338, 2, 8
Determine n so that -4*n**4 - 49108*n**3 - 150749280*n**2 - 150700176*n = 0.
-6138, -1, 0
Solve 3*k**3 - 504*k**2 + 2940*k - 3888 = 0 for k.
2, 4, 162
What is p in -2*p**2/9 + 39068*p/9 - 13022/3 = 0?
1, 19533
Factor -5*i**2 + 17345*i.
-5*i*(i - 3469)
Suppose -21*r**4/4 + 1851*r**3/2 + 2655*r**2/4 = 0. What is r?
-5/7, 0, 177
Factor 2*y**2 + 274588*y + 9424821218.
2*(y + 68647)**2
Suppose 2*i**3/13 + 9722*i**2/13 - 77890*i/13 + 68166/13 = 0. What is i?
-4869, 1, 7
Solve 3*f**4/7 + 3048*f**3/7 - 42780*f**2 + 7033584*f/7 = 0.
-1108, 0, 46
Factor -q**3 + 128*q**2 + 129*q.
-q*(q - 129)*(q + 1)
Determine w, given that w**2/2 - 266*w - 34869/2 = 0.
-59, 591
Suppose -2*o**2/3 - 1080*o + 6488/3 = 0. Calculate o.
-1622, 2
Find z such that z**3 + 39*z**2 - 424*z + 384 = 0.
-48, 1, 8
Factor -4*j**3 - 152*j**2 + 2580*j + 9000.
-4*(j - 15)*(j + 3)*(j + 50)
Factor 3*n**2 - 2407818*n + 2407815.
3*(n - 802605)*(n - 1)
Determine q so that -4*q**5 - 116*q**4 + 408*q**3 + 736*q**2 - 1024*q = 0.
-32, -2, 0, 1, 4
Let -w**3 - 709*w**2 - 8351*w + 9061 = 0. What is w?
-697, -13, 1
Determine g, given that 4*g**3 - 1156*g**2 - 133424*g + 271440 = 0.
-90, 2, 377
Factor m**5/2 + 7*m**4/2 - 1653*m**3 - 55250*m**2 - 417092*m + 1792752.
(m - 68)*(m - 3)*(m + 26)**3/2
Let n**5 + 6*n**4 - 13*n**3 - 106*