2*k**2/5 - 13791752*k.
2*k*(k + 2626)**2*(11*k - 5)/5
Factor 5*p**4 - 370*p**3 + 2085*p**2 - 3080*p + 1360.
5*(p - 68)*(p - 4)*(p - 1)**2
Suppose a**2 - 40528*a + 162096 = 0. Calculate a.
4, 40524
Solve 4*c**2 + 24700*c - 222624 = 0.
-6184, 9
Determine h, given that 16*h**4/7 + 33130*h**3/7 - 111978*h**2/7 + 37332*h/7 = 0.
-2074, 0, 3/8, 3
Determine z, given that -2*z**5/7 + 142*z**4/7 - 268*z**3/7 - 556*z**2/7 + 270*z/7 + 414/7 = 0.
-1, 1, 3, 69
Solve -3*a**3 - 6084*a**2 - 506583*a - 10772274 = 0 for a.
-1942, -43
Suppose -4*a**5 - 988*a**4 - 14776*a**3 + 3960*a**2 + 483516*a - 1006236 = 0. Calculate a.
-231, -11, 3
Factor -2*g**3/7 - 45274*g**2/7 + 226420*g/7.
-2*g*(g - 5)*(g + 22642)/7
Solve j**2/4 - 174*j + 2720 = 0.
16, 680
Suppose 2*n**3/5 - 11414*n**2/5 + 3287584*n - 87108480 = 0. What is n?
27, 2840
Suppose -g**2/4 - 28385*g/2 - 805708225/4 = 0. What is g?
-28385
Solve -b**2/2 + 237*b/2 - 693 = 0 for b.
6, 231
Determine u, given that -35*u**5 + 1445*u**4 - 16405*u**3 + 18535*u**2 + 223440*u - 64980 = 0.
-3, 2/7, 6, 19
Factor w**2 - 33701*w - 33702.
(w - 33702)*(w + 1)
Factor 3*s**2/4 + 259539*s/4 - 259545/2.
3*(s - 2)*(s + 86515)/4
Factor 3*n**2 - 15468*n + 92700.
3*(n - 5150)*(n - 6)
Determine u, given that 2*u**2/7 + 12504*u/7 + 37386 = 0.
-6231, -21
Factor 3*a**2 - 22758*a + 22755.
3*(a - 7585)*(a - 1)
Factor 2*o**2/11 + 2888*o/11 + 786.
2*(o + 3)*(o + 1441)/11
Factor x**3 - 1886*x**2 + 893009*x - 3541924.
(x - 941)**2*(x - 4)
Find v such that v**3 - 3397*v**2 + 16966*v - 20352 = 0.
2, 3, 3392
Factor -3*v**4/7 + 21156*v**3/7 - 7127406*v**2 + 39723100164*v/7 - 887495084883/7.
-3*(v - 2343)**3*(v - 23)/7
Factor 2*f**3/7 + 6490*f**2/7 + 5261766*f/7 - 5268258/7.
2*(f - 1)*(f + 1623)**2/7
Find a, given that 3*a**2 - 27*a - 2550 = 0.
-25, 34
Suppose 4*p**5 + 652*p**4 - 18160*p**3 - 38896*p**2 = 0. What is p?
-187, -2, 0, 26
Suppose 2*m**4/9 + 532*m**3 - 16160*m**2 = 0. What is m?
-2424, 0, 30
Factor 3*h**2/5 - 1221*h/5 + 29718/5.
3*(h - 381)*(h - 26)/5
Factor 98*w**3/5 + 188*w**2 + 2816*w/5 + 2496/5.
2*(w + 4)**2*(49*w + 78)/5
Suppose 2*j**4/5 - 186*j**3/5 + 762*j**2 + 25186*j/5 - 28812/5 = 0. Calculate j.
-6, 1, 49
Suppose -569*h**4 - 52916*h**3 - 1640334*h**2 - 16948196*h + 29791 = 0. Calculate h.
-31, 1/569
Determine b, given that 2*b**2/7 - 98898*b/7 = 0.
0, 49449
Determine t so that -2*t**2 + 17936*t - 40212512 = 0.
4484
Suppose -2*l**5 - 38*l**4 - 54*l**3 + 1238*l**2 - 1144*l = 0. What is l?
-13, -11, 0, 1, 4
Solve -4*v**3 - 140*v**2 - 1216*v = 0 for v.
-19, -16, 0
Factor t**4 + 2984*t**3 + 2967090*t**2 + 982104800*t - 985074875.
(t - 1)*(t + 995)**3
Let 2*p**2 + 396*p + 8352 = 0. Calculate p.
-174, -24
Factor 4*f**2 - 46192*f + 599820.
4*(f - 11535)*(f - 13)
Suppose -2*u**5/7 + 76*u**4/7 - 454*u**3/7 + 620*u**2/7 = 0. What is u?
0, 2, 5, 31
Factor 2*h**3 - 67896*h**2 + 576640512*h - 6909912576.
2*(h - 16968)**2*(h - 12)
Factor -2*n**3/5 + 134*n**2/5 + 1592*n/5 - 17024/5.
-2*(n - 76)*(n - 7)*(n + 16)/5
Factor -32*v**3/5 + 168592*v**2/5 + 252942*v/5 + 18972.
-2*(v - 5270)*(4*v + 3)**2/5
Determine z so that 3*z**5 + 801*z**4 - 63606*z**3 - 21098994*z**2 - 42003981*z - 20969391 = 0.
-211, -1, 157
Factor -c**2/5 + 26*c/5 + 4896.
-(c - 170)*(c + 144)/5
Solve 3*a**4/5 - 99*a**3/5 + 579*a**2/5 - 873*a/5 + 78 = 0.
1, 5, 26
Factor k**2/6 - 109*k/6 + 319.
(k - 87)*(k - 22)/6
Factor -m**3/4 - 579*m**2/4 + 13201*m/4 - 12621/4.
-(m - 21)*(m - 1)*(m + 601)/4
Find m, given that -m**5 - 57*m**4 - 434*m**3 + 8732*m**2 + 126840*m + 431200 = 0.
-44, -10, -7, 14
Factor i**3/6 - 79*i**2/3 + 4118*i/3 - 23548.
(i - 58)**2*(i - 42)/6
Factor -14320*h**2 + 114572*h - 96.
-4*(h - 8)*(3580*h - 3)
Let 2*h**4 - 548*h**3 - 6864*h**2 = 0. Calculate h.
-12, 0, 286
Factor -3*o**4 - 94656*o**3 - 746457192*o**2 + 2986964736*o - 2987343408.
-3*(o - 2)**2*(o + 15778)**2
Let 347*n**3/9 + 1042*n**2/9 - 1385*n/9 - 4/9 = 0. Calculate n.
-4, -1/347, 1
Solve -5*q**5 - 150*q**4 - 1080*q**3 + 70*q**2 + 13965*q = 0.
-19, -7, 0, 3
Let -2*d**3/15 - 6098*d**2/15 + 14698*d/3 + 79586/15 = 0. Calculate d.
-3061, -1, 13
Find b, given that 5*b**4 - 515*b**3 - 4445*b**2 + 515*b + 4440 = 0.
-8, -1, 1, 111
Let -2*s**2/5 - 16614*s/5 - 16604 = 0. What is s?
-8302, -5
Determine z so that 2*z**4/13 - 2052*z**3/13 + 605466*z**2/13 - 40592664*z/13 + 782655048/13 = 0.
42, 471
Find o such that -o**4/2 + 89*o**3/2 - 379*o**2 - 1312*o + 3792 = 0.
-4, 2, 12, 79
Suppose c**2/2 + 87*c/2 - 44 = 0. What is c?
-88, 1
What is l in 2*l**4/5 - 366*l**3/5 - 15842*l**2/5 + 16206*l/5 = 0?
-37, 0, 1, 219
Let -3*a**3/4 - 159*a**2/2 - 2409*a - 22506 = 0. What is a?
-62, -22
Determine c, given that 6*c**5 - 699*c**4 + 20799*c**3 - 29643*c**2 - 345*c + 9882 = 0.
-1/2, 1, 54, 61
What is m in 4869*m**2 - 14631*m + 72 = 0?
8/1623, 3
Factor -3*p**4 + 402*p**3 - 19659*p**2 + 414864*p - 3195072.
-3*(p - 43)**2*(p - 24)**2
Determine k so that -2*k**2/7 + 256*k - 7136/7 = 0.
4, 892
Solve -p**5 + 1064*p**4/9 + 835*p**3/9 - 238*p**2/9 = 0 for p.
-1, 0, 2/9, 119
Factor 7*l**2 - 832*l + 3876.
(l - 114)*(7*l - 34)
Let -k**4 + 1857*k**3 - 38595*k**2 + 71623*k - 34884 = 0. What is k?
1, 19, 1836
Let 2*w**4 + 27850*w**3 + 96966736*w**2 + 96938888*w = 0. What is w?
-6962, -1, 0
Suppose -l**5/4 + 25*l**4/4 + 31*l**3/4 - 1981*l**2/4 - 1809*l/2 + 1386 = 0. Calculate l.
-7, -3, 1, 12, 22
Factor -35*k**4 - 20430*k**3 - 2978400*k**2 + 852640*k.
-5*k*(k + 292)**2*(7*k - 2)
Factor 4*z**3/7 + 872*z**2/7 - 18180*z/7 - 5688.
4*(z - 21)*(z + 2)*(z + 237)/7
Factor -5*i**2 - 77385*i.
-5*i*(i + 15477)
Suppose -a**4 - 844*a**3 - 238560*a**2 - 22892800*a - 87808000 = 0. What is a?
-280, -4
What is d in d**4 - 1646*d**3 + 1640*d**2 + 8222*d + 4935 = 0?
-1, 3, 1645
Factor 32*z**2/15 - 382*z/5 + 684.
2*(z - 18)*(16*z - 285)/15
Determine z, given that 259*z**2/2 + 2567*z - 460 = 0.
-20, 46/259
Factor 5*d**2 + 2385*d - 78740.
5*(d - 31)*(d + 508)
Determine j, given that 74*j**4 + 3624*j**3/7 + 812*j**2 + 2568*j/7 - 10/7 = 0.
-5, -1, 1/259
Determine l, given that 4*l**5 - 328*l**4 + 2004*l**3 + 7792*l**2 - 45040*l + 48000 = 0.
-5, 2, 8, 75
Find m such that 2*m**5/15 + 112*m**4/15 + 508*m**3/15 - 112*m**2/15 - 34*m = 0.
-51, -5, -1, 0, 1
What is i in -2*i**4/13 - 96*i**3/13 - 276*i**2/13 + 21328*i/13 - 86490/13 = 0?
-31, 5, 9
Factor -3*o**3/2 - 2379*o**2/2 - 514605*o/2 - 16629093/2.
-3*(o + 39)*(o + 377)**2/2
Factor -m**2/6 - 9110*m/3 - 41496050/3.
-(m + 9110)**2/6
Factor u**2 - 42637*u + 85270.
(u - 42635)*(u - 2)
Find w, given that w**4 + 677*w**3/3 - 3679*w**2/3 + 3923*w/3 - 308 = 0.
-231, 1/3, 1, 4
Factor -2*r**4/3 + 15512*r**3 - 270373964*r**2/3 - 1264026344*r - 13280262338/3.
-2*(r - 11641)**2*(r + 7)**2/3
Let 4*i**5/7 - 1200*i**4/7 + 3540*i**3/7 + 7160*i**2/7 - 9504*i/7 = 0. Calculate i.
-2, 0, 1, 4, 297
Factor 3*n**2 - 1670658*n + 1670655.
3*(n - 556885)*(n - 1)
Factor -g**3/8 - 37*g**2/8 + 77*g/8 - 39/8.
-(g - 1)**2*(g + 39)/8
Factor d**3/9 + 10084*d**2/9 - 10087*d/9 - 20170/9.
(d - 2)*(d + 1)*(d + 10085)/9
Let 9*l**5 + 2652*l**4 + 1728*l**3 - 10608*l**2 - 7056*l = 0. What is l?
-294, -2, -2/3, 0, 2
Solve -2*z**2 + 728*z + 3690 = 0.
-5, 369
Factor -4*a**4 + 252*a**3 - 1388*a**2 + 1140*a.
-4*a*(a - 57)*(a - 5)*(a - 1)
Determine t so that -t**4/3 + 1406*t**3 - 1489632*t**2 + 44268160*t/3 = 0.
0, 10, 2104
Determine q, given that 2*q**5/3 + 68*q**4/3 + 164*q**3 + 1088*q**2/3 + 962*q/3 + 100 = 0.
-25, -6, -1
Solve 5*a**4/2 + 495*a**3 - 7145*a**2/2 + 3075*a = 0.
-205, 0, 1, 6
Factor 5*s**2/3 - 279235*s/3 + 279230/3.
5*(s - 55846)*(s - 1)/3
Factor 2*j**3 - 8346*j**2.
2*j**2*(j - 4173)
Factor 7*x**3 + 92558*x**2 + 305990135*x + 174821284.
(x + 6611)**2*(7*x + 4)
Let -3*w**5 - 5592*w**4 - 11169*w**3 + 5592*w**2 + 11172*w = 0. What is w?
-1862, -2, -1, 0, 1
Factor 4*h**4/7 - 180*h**3/7 - 2392*h**2/7 - 576*h.
4*h*(h - 56)*(h + 2)*(h + 9)/7
Factor k**2/2 + 14575*k + 212430625/2.
(k + 14575)**2/2
Factor 3*x**3/7 - 35916*x**2/7 + 107496588*x/7.
3*x*(x - 5986)**2/7
Suppose -20*d**4 + 28488*d**3 - 96660*d**2 + 45424*d + 68208 = 0. What is d?
-3/5, 2, 1421
Suppose -4*s**4/7 + 27*s**3 + 977*s**2/7 + 576*s/7 - 208/7 = 0. What is s?
-4, -1, 1/4, 52
Suppose j**2/2 + 7173*j/2 - 7175 = 0. What is j?
-7175, 2
Factor 5*u**3 + 4875*u**2 + 531000*u - 356802500.
5*(u - 