81
Suppose -5*d**3 - 19195*d**2 - 18393575*d + 55353615 = 0. Calculate d.
-1921, 3
What is i in 2679769*i**2/2 - 36014*i + 242 = 0?
22/1637
Determine p so that 3*p**5/4 - 1572*p**4 + 807783*p**3 + 16790460*p**2 = 0.
-20, 0, 1058
Factor p**2 - 835*p - 3356.
(p - 839)*(p + 4)
Factor -v**5 + 7*v**4 + 39*v**3 - 95*v**2 + 50*v.
-v*(v - 10)*(v - 1)**2*(v + 5)
Determine u so that -4*u**5 - 412*u**4 - 3548*u**3 + 75724*u**2 + 95424*u - 458640 = 0.
-91, -21, -3, 2, 10
Factor 4*s**2/5 - 488*s/5 - 300.
4*(s - 125)*(s + 3)/5
Determine q so that q**5/2 - 457*q**4/2 - q**3 + 457*q**2 + q/2 - 457/2 = 0.
-1, 1, 457
Factor -2*v**3/9 + 94106*v**2/9 - 368919034*v/3 - 615126490.
-2*(v - 23529)**2*(v + 5)/9
Determine g so that g**5/3 + 98*g**4/3 - 2618*g**3/3 - 77444*g**2 + 2327859*g - 11035602 = 0.
-81, 6, 29
Let 5*q**4 - 89*q**3 - 597*q**2 - 43*q + 460 = 0. What is q?
-5, -1, 4/5, 23
Suppose -w**2 - 1213*w + 43680 = 0. Calculate w.
-1248, 35
Factor 4*g**2 + 248464*g + 3858397456.
4*(g + 31058)**2
Factor -10*x**2/7 + 79014*x/7 - 31604/7.
-2*(x - 7901)*(5*x - 2)/7
Factor -4*c**3 + 23756*c**2.
-4*c**2*(c - 5939)
Factor k**4 + 274*k**3 - 73803*k**2 + 3610880*k + 7519148.
(k - 91)**2*(k + 2)*(k + 454)
Solve -2*y**2/9 - 3038*y/9 + 3044/3 = 0.
-1522, 3
Factor 99*p**3 - 152067*p**2 + 58397184*p - 1769472.
3*(p - 768)**2*(33*p - 1)
Determine d, given that -2*d**2/9 - 5194*d/9 - 33276 = 0.
-2538, -59
What is v in -3*v**2 + 4857*v = 0?
0, 1619
Determine n, given that n**3/5 + 98*n**2/5 - 1443*n/5 = 0.
-111, 0, 13
Factor -4*f**3 + 210896*f**2 - 2779609268*f - 5560062152.
-4*(f - 26363)**2*(f + 2)
Factor 3*n**3/7 - 72*n**2 - 12609*n/7 + 13110/7.
3*(n - 190)*(n - 1)*(n + 23)/7
What is a in 2*a**5/7 + 604*a**4/7 + 8742*a**3 + 302600*a**2 + 3820000*a/7 - 6000000/7 = 0?
-100, -3, 1
Let -5*y**3/4 + 14305*y**2/4 - 2395250*y - 236278515 = 0. Calculate y.
-87, 1474
Factor 3*d**4 + 120*d**3 - 378*d**2 + 384*d - 129.
3*(d - 1)**3*(d + 43)
Factor -2*t**4/21 - 194*t**3/21 - 104*t**2.
-2*t**2*(t + 13)*(t + 84)/21
Solve -a**2/3 + 32804*a/3 - 269025604/3 = 0 for a.
16402
Factor k**5 + 88*k**4 - 394*k**3 - 122488*k**2 + 122793*k.
k*(k - 33)*(k - 1)*(k + 61)**2
Factor -i**2 + 191*i - 2478.
-(i - 177)*(i - 14)
Suppose -23*m**3/5 - 694*m**2/5 - 2628*m/5 + 43416/5 = 0. Calculate m.
-18, 134/23
Let 31*v**4/6 - 5*v**3/3 - 301*v**2/6 + 254*v/3 - 38 = 0. What is v?
-114/31, 1, 2
Suppose 4*f**3 + 4388*f**2 + 1196800*f - 3630000 = 0. What is f?
-550, 3
Factor q**4 - 3721*q**3 + 11145*q**2 + 33489*q - 100386.
(q - 3718)*(q - 3)**2*(q + 3)
Solve i**3/3 - 983*i**2/3 + 137252*i/3 - 270580/3 = 0.
2, 166, 815
Factor 30*a**2 + 2721*a - 819.
3*(a + 91)*(10*a - 3)
Factor 2*o**2/9 - 86750*o/9 + 28916/3.
2*(o - 43374)*(o - 1)/9
Factor -c**2/12 + 21815*c/12 + 1818.
-(c - 21816)*(c + 1)/12
Factor -2*n**4 - 151*n**3 - 1844*n**2 + 960*n.
-n*(n + 16)*(n + 60)*(2*n - 1)
Factor 3*l**2/5 + 11163*l/5 + 2232.
3*(l + 1)*(l + 3720)/5
Factor 4*x**2 + 497208*x + 497204.
4*(x + 1)*(x + 124301)
Factor -2*w**2/11 - 7110*w/11 - 49672/11.
-2*(w + 7)*(w + 3548)/11
What is g in g**5 + 178*g**4 + 7764*g**3 + 42392*g**2 + 82016*g + 53760 = 0?
-112, -60, -2
Find l such that -52*l**3/7 - 3946*l**2/7 - 492*l + 450/7 = 0.
-75, -1, 3/26
Determine d so that 4905*d**5 - 631200*d**4 - 203695*d**3 + 564210*d**2 + 270940*d - 5160 = 0.
-2/3, 2/109, 1, 129
Let -3*p**3 - 786*p**2 - 32973*p - 145590 = 0. Calculate p.
-211, -46, -5
Solve -d**4/8 + 5*d**3/2 + 371*d**2/8 - 1095*d/4 + 225 = 0.
-15, 1, 4, 30
Let -26*s**3/7 + 360*s**2/7 + 594*s/7 - 2160/7 = 0. What is s?
-3, 24/13, 15
Let -m**2/3 + 199031*m/3 + 66344 = 0. What is m?
-1, 199032
Factor f**5/2 - 42*f**4 - 86*f**3 - f**2 + 171*f/2 + 43.
(f - 86)*(f - 1)*(f + 1)**3/2
Solve 2*h**5/9 + 6412*h**4/9 + 5113516*h**3/9 - 41184232*h**2/9 + 36115718*h/3 - 10329796 = 0.
-1607, 2, 3
Determine r so that -19641*r**5 + 13076*r**4 + 58935*r**3 + 54*r**2 - 26188*r - 24 = 0.
-1, -6/6547, 2/3, 2
Solve 2*w**2/3 - 25472*w + 305632/3 = 0.
4, 38204
Solve 4*c**4 + 893*c**3/3 + 5597*c**2 + 2109*c - 9583/3 = 0.
-37, -1, 7/12
Find f, given that 2*f**2/7 - 16192*f/7 + 97080/7 = 0.
6, 8090
Find a, given that 2*a**5/21 - 86*a**4/7 - 452*a**3/7 + 2048*a**2/21 + 4288*a/7 = 0.
-4, 0, 3, 134
Factor -21*x**3 + 345*x**2 - 1116*x.
-3*x*(x - 12)*(7*x - 31)
Solve b**3/2 + 91*b**2 + 1709*b/2 - 946 = 0.
-172, -11, 1
Solve b**5/3 - 11*b**4 + 383*b**3/3 - 1739*b**2/3 + 572*b + 3872/3 = 0 for b.
-1, 4, 8, 11
Find l, given that l**2/2 - 140*l - 11729/2 = 0.
-37, 317
Factor -l**3/5 - 124572*l**2/5 - 775934073*l - 1551768490.
-(l + 2)*(l + 62285)**2/5
Factor i**4/4 - 7*i**3/4 + 3*i**2/2 + 8*i - 8.
(i - 4)**2*(i - 1)*(i + 2)/4
Factor -n**4/4 + 3905*n**3/4 - 151281*n**2/4 + 1962259*n/4 - 4246801/2.
-(n - 3866)*(n - 13)**3/4
Determine d, given that -5*d**5 + 410*d**4 - 3410*d**3 + 9260*d**2 - 9905*d + 3650 = 0.
1, 2, 5, 73
Suppose -h**4 + 361*h**3 - 38194*h**2 + 958716*h + 997272 = 0. What is h?
-1, 38, 162
Suppose -w**5 + 81*w**4 - 1703*w**3 + 2859*w**2 + 4644*w = 0. What is w?
-1, 0, 3, 36, 43
What is m in 5*m**3 - 6460*m**2 + 19345*m - 12890 = 0?
1, 2, 1289
Determine u so that -u**2 + 3982*u = 0.
0, 3982
Factor m**2/9 - 38*m/3 - 847/9.
(m - 121)*(m + 7)/9
Factor -5*j**2/4 - 44645*j/4.
-5*j*(j + 8929)/4
Determine m so that 2*m**5/5 + 252*m**4/5 + 1612*m**3/5 - 6368*m**2/5 + 6882*m/5 - 476 = 0.
-119, -10, 1
Let -22050*j**5/13 - 872340*j**4/13 - 1325528*j**3/13 - 641328*j**2/13 - 7680*j - 4864/13 = 0. Calculate j.
-38, -2/3, -4/35
Factor 3*g**3/4 + 810603*g**2/4 - 1621215*g/4 + 810609/4.
3*(g - 1)**2*(g + 270203)/4
Let -5*z**3/4 + 46*z**2 + 189*z/4 = 0. Calculate z.
-1, 0, 189/5
Factor -5*c**2 + 317098*c + 126840.
-(c - 63420)*(5*c + 2)
Determine c so that 10*c**5/9 + 256*c**4/9 - 130*c**3/9 - 6688*c**2/9 + 2696*c/3 + 800 = 0.
-25, -6, -3/5, 2, 4
Solve 2942*u**4 - 5890*u**3 + 2954*u**2 - 6*u = 0.
0, 3/1471, 1
Let -2*i**5/5 + 334*i**4/5 - 17252*i**3/5 + 50364*i**2 + 281070*i - 328050 = 0. Calculate i.
-5, 1, 45, 81
Find w, given that 15*w**3 - 621*w**2 + 6222*w + 3960 = 0.
-3/5, 20, 22
Factor 100*o**3 + 2320*o**2 + 15476*o + 22472.
4*(o + 2)*(5*o + 53)**2
Find z, given that z**5/10 - 50*z**4 + 9036*z**3 - 676976*z**2 + 14462056*z + 1438525536/5 = 0.
-12, 98, 158
What is i in i**2/5 - 6176*i = 0?
0, 30880
Suppose -p**3/2 + 18361*p**2 = 0. What is p?
0, 36722
Determine k, given that 4*k**4 - 1736*k**3 + 188352*k**2 + 1736*k - 188356 = 0.
-1, 1, 217
Factor l**2/4 + 805*l/4 + 2397/2.
(l + 6)*(l + 799)/4
Let 4*z**5 + 132*z**4 - 2360*z**3 + 12264*z**2 - 24140*z + 14100 = 0. Calculate z.
-47, 1, 3, 5
Find w such that -4*w**5 - 388*w**4 + 13004*w**3 - 47644*w**2 + 57848*w - 22816 = 0.
-124, 1, 2, 23
What is k in 3*k**3 + 276*k**2 - 4308*k + 15264 = 0?
-106, 6, 8
Factor 94*p**3 - 9310*p**2 - 18592*p + 808.
2*(p - 101)*(p + 2)*(47*p - 2)
Factor -f**4/3 + 158*f**3 - 10803*f**2 + 200772*f.
-f*(f - 396)*(f - 39)**2/3
Factor -4*d**3/5 + 56764*d**2/5 - 201526316*d/5 + 201242596.
-4*(d - 7093)**2*(d - 5)/5
Factor -5*o**3 - 2690*o**2 - 359100*o + 729000.
-5*(o - 2)*(o + 270)**2
Factor x**4/5 + 199*x**3/5 - 24226*x**2/5 - 24424*x/5.
x*(x - 86)*(x + 1)*(x + 284)/5
Factor v**3 - 249678*v**2 - v + 249678.
(v - 249678)*(v - 1)*(v + 1)
Factor 676*z**4/3 + 9880*z**3/3 + 5888*z**2/3 + 896*z/3.
4*z*(z + 14)*(13*z + 4)**2/3
Determine z, given that 2*z**3/11 + 8090*z**2/11 - 16188*z/11 = 0.
-4047, 0, 2
Factor -9*r**3/8 - 577*r**2/8 - 8551*r/8 - 943/8.
-(r + 23)*(r + 41)*(9*r + 1)/8
Solve 2*i**3 - 980*i**2 + 26264*i - 181104 = 0.
14, 462
Solve 5*b**2 + 154685*b + 464010 = 0 for b.
-30934, -3
Factor -4*o**3 + 2156*o**2 + 251124*o + 6668964.
-4*(o - 641)*(o + 51)**2
Suppose 24*u**3/5 - 7322*u**2/5 + 122*u = 0. What is u?
0, 1/12, 305
Factor 3*i**2/5 + 824352*i + 283148424960.
3*(i + 686960)**2/5
Factor -p**3/3 - 33*p**2 + 10825*p/3 - 3575.
-(p - 65)*(p - 1)*(p + 165)/3
Let 2*a**4/7 - 472*a**3/7 + 1306*a**2/7 + 3076*a - 22368/7 = 0. What is a?
-6, 1, 8, 233
Factor 3*t**3 + 11529*t**2 + 195126*t.
3*t*(t + 17)*(t + 3826)
Determine f so that 23*f**3 - 6925*f**2 - 6344*f + 604 = 0.
-1, 2/23, 302
Solve 2*y**5/13 - 144*y**4/13 + 2942*y**3/13 - 1512*y**2 + 16856*y/13 = 0 for y.
0, 1, 14, 43
Factor -2*m**2/11 - 6140*m + 270192/11.
-2*(m - 4)*(m + 33774)/11
Factor 2*s**3/5 + 