 in -2*k**4 - 10*k**3 + 866*k**2 - 3254*k + 2400 = 0?
-25, 1, 3, 16
Determine r so that -r**3/3 - 158*r**2/3 - 3013*r/3 - 952 = 0.
-136, -21, -1
Factor n**5/2 - 349*n**4/2 + 15485*n**3 - 45413*n**2 + 90133*n/2 - 29929/2.
(n - 173)**2*(n - 1)**3/2
Factor -3*z**3/2 + 65631*z**2/2 - 358919529*z/2 - 358985163/2.
-3*(z - 10939)**2*(z + 1)/2
Determine p so that -2*p**2/3 + 72*p + 1512 = 0.
-18, 126
Determine q, given that 2*q**3 - 244*q**2 + 9752*q - 126960 = 0.
30, 46
Let -2*t**4/11 + 608*t**3 - 6691548*t**2/11 + 167257760*t - 151354518050/11 = 0. What is t?
185, 1487
Factor 4*i**2 - 153800*i.
4*i*(i - 38450)
What is x in 2*x**3 - 150*x**2 = 0?
0, 75
Factor s**2/6 - 79*s/2 + 2743/3.
(s - 211)*(s - 26)/6
Factor -q**3/2 - 343*q**2/2 - 8411*q/2 - 53573/2.
-(q + 13)**2*(q + 317)/2
Suppose l**5/4 - 1249*l**4/4 + 2493*l**3/2 - 3737*l**2/2 + 4981*l/4 - 1245/4 = 0. What is l?
1, 1245
Factor -2*l**4/7 + 32276*l**3/7 - 173859408*l**2/7 + 313863784384*l/7 - 6821198509312/7.
-2*(l - 5372)**3*(l - 22)/7
Factor -4*i**3/7 + 15808*i**2/7 - 15634100*i/7 + 31205000/7.
-4*(i - 1975)**2*(i - 2)/7
Find d such that -d**3/6 - 668*d**2/3 + 9445*d/6 + 29546/3 = 0.
-1343, -4, 11
Factor 2*v**2 - 9230*v + 229500.
2*(v - 4590)*(v - 25)
Find r, given that -5*r**5 - 15*r**4 + 6665*r**3 - 114645*r**2 + 494280*r + 615600 = 0.
-45, -1, 12, 19
Suppose -w**5/3 - 11*w**4 - 86*w**3/3 + 2712*w**2 + 36000*w + 137088 = 0. Calculate w.
-14, -12, 17
Factor -207*o**2 - 6206*o + 120.
-(o + 30)*(207*o - 4)
Find z, given that -2*z**2/11 - 3880*z/11 - 19350/11 = 0.
-1935, -5
Suppose -2*g**2/5 + 20378*g/5 - 61116/5 = 0. What is g?
3, 10186
What is l in -4*l**5/5 - 296*l**4 - 135408*l**3/5 + 276768*l**2/5 = 0?
-186, 0, 2
Factor -3*r**5 + 4188*r**4 + 21015*r**3.
-3*r**3*(r - 1401)*(r + 5)
Factor -395*y**3/4 - 7065*y**2 - 124740*y + 58320.
-5*(y + 36)**2*(79*y - 36)/4
Let -2*f**3/7 - 576*f**2/7 + 1754*f/7 + 2328/7 = 0. What is f?
-291, -1, 4
Factor 2*t**2/5 - 2747*t/5.
t*(2*t - 2747)/5
Factor -2*b**3 + 526*b**2 - 12100*b + 47600.
-2*(b - 238)*(b - 20)*(b - 5)
Find q such that -7*q**5/3 + 619*q**4/6 - 563*q**3 + 3266*q**2/3 - 2140*q/3 = 0.
0, 2, 535/14
Determine h, given that -3*h**5/5 + 453*h**4/5 - 2151*h**3/5 - 5673*h**2/5 - 3066*h/5 = 0.
-1, 0, 7, 146
Factor 3*s**2 - 34956*s - 69924.
3*(s - 11654)*(s + 2)
Solve 4*c**5 - 16188*c**4 + 32360*c**3 = 0 for c.
0, 2, 4045
Suppose 4*f**4 - 1766*f**3 + 36162*f**2 - 17640*f = 0. Calculate f.
0, 1/2, 21, 420
Suppose 5*z**5 - 5*z**4 - 195*z**3 + 245*z**2 + 1030*z + 600 = 0. Calculate z.
-6, -1, 4, 5
Factor 3*z**5 - 171*z**4 + 1815*z**3 - 4449*z**2 + 4122*z - 1320.
3*(z - 44)*(z - 10)*(z - 1)**3
Factor u**5 - 470*u**4 - 5736*u**3 - 23072*u**2 - 30848*u.
u*(u - 482)*(u + 4)**3
Solve 4*z**2 - 48*z - 50032 = 0.
-106, 118
Find q such that q**2/3 + 7244*q/3 - 167141/3 = 0.
-7267, 23
Factor 4*t**5 + 42216*t**4 + 111217924*t**3 - 891770784*t**2 + 1784893504*t.
4*t*(t - 4)**2*(t + 5281)**2
Determine w, given that -3*w**2/4 + 294219*w/2 - 28854939987/4 = 0.
98073
Let -h**2 - 481920*h - 481919 = 0. Calculate h.
-481919, -1
Solve -2*d**3 - 4082*d**2 - 2144670*d - 62621550 = 0.
-1005, -31
Factor -87*m**3 - 1056*m**2 - 2928*m - 384.
-3*(m + 4)*(m + 8)*(29*m + 4)
Factor -17*k**2/3 + 1478*k/3 + 29.
-(k - 87)*(17*k + 1)/3
Solve n**5/6 - 16*n**4/3 - 177*n**3 + 2362*n**2/3 + 1061*n/6 - 782 = 0.
-23, -1, 1, 4, 51
Suppose b**2/5 - 651*b/5 + 1944/5 = 0. Calculate b.
3, 648
Solve -2*r**2/15 + 2848*r/15 - 43282 = 0 for r.
285, 1139
Let -2*p**3/5 + 16*p**2/5 + 18*p/5 - 144/5 = 0. Calculate p.
-3, 3, 8
Factor 3*f**3/2 - 42474*f**2 + 300588480*f + 1203033600.
3*(f - 14160)**2*(f + 4)/2
Factor -x**4/7 - 54*x**3/7 + 1909*x**2/7 - 5214*x/7.
-x*(x - 22)*(x - 3)*(x + 79)/7
Factor -o**2/3 - 1594*o + 9568/3.
-(o - 2)*(o + 4784)/3
Suppose -6*j**3 - 51783*j**2 - 111637620*j + 391366269 = 0. Calculate j.
-4317, 7/2
Solve -10*r**5 - 576*r**4 + 2152*r**3 + 4772*r**2 + 834*r - 1220 = 0 for r.
-61, -1, 2/5, 5
Suppose -5*f**4 - 461960*f**3 - 10670352080*f**2 = 0. What is f?
-46196, 0
Determine o, given that 16*o**2/3 + 1845308*o/3 - 153776 = 0.
-115332, 1/4
Find x such that -x**3/2 - 7286*x**2 - 53071221*x/2 + 53100369 = 0.
-7287, 2
Solve -3*t**4 + 15*t**3 + 372*t**2 - 780*t = 0 for t.
-10, 0, 2, 13
Find l such that -4*l**3 - 532*l**2 + 22456*l - 42752 = 0.
-167, 2, 32
Suppose 5*y**3 - 2990*y**2 - 36420*y - 109800 = 0. Calculate y.
-6, 610
Factor 13754*v**5 - 805*v**4 - 172*v**3 + 12*v**2.
v**2*(23*v - 2)**2*(26*v + 3)
Determine f so that 2*f**3/5 - 8*f**2/5 - 126*f - 1764/5 = 0.
-14, -3, 21
Factor 3*u**3 + 495*u**2 - 6348*u - 95040.
3*(u - 20)*(u + 9)*(u + 176)
Find y, given that 2*y**3/3 + 10318*y**2/3 - 51640*y/3 = 0.
-5164, 0, 5
Factor 4*a**2/5 + 588*a/5 + 4104.
4*(a + 57)*(a + 90)/5
Factor 3*p**2 + 156*p - 26784.
3*(p - 72)*(p + 124)
Factor y**3/7 - 20*y**2 + 2993*y/7 + 6554/7.
(y - 113)*(y - 29)*(y + 2)/7
Factor -4*j**2/5 - 15432*j/5 - 14884164/5.
-4*(j + 1929)**2/5
What is c in c**3/2 + 487*c**2/4 + 419*c - 240 = 0?
-240, -4, 1/2
Solve 5*g**2 + 12950*g + 12945 = 0.
-2589, -1
Let 2*l**3 - 3270*l**2 - 1049664*l - 77389432 = 0. Calculate l.
-142, 1919
Find c, given that -5*c**2 - 314300*c - 4939224500 = 0.
-31430
Let -2*h**2/17 - 553848*h/17 + 553850/17 = 0. Calculate h.
-276925, 1
Find r, given that -4*r**5 + 361*r**4 - 86*r**3 - 361*r**2 + 90*r = 0.
-1, 0, 1/4, 1, 90
Let -3*u**5 - 15105*u**4 - 496368*u**3 - 5858040*u**2 - 28520400*u - 45018000 = 0. What is u?
-5002, -10, -3
What is q in -3*q**3/7 - 3078*q**2/7 - 813555*q/7 - 12241200/7 = 0?
-505, -16
Factor 2*h**3 - 99108*h**2 + 1227799458*h.
2*h*(h - 24777)**2
What is b in -2*b**5/13 - 16*b**4/13 - 20*b**3/13 + 120*b**2/13 + 342*b/13 + 216/13 = 0?
-4, -3, -1, 3
Find q, given that q**5/4 + q**4 - 829*q**3/4 + 1007*q**2 - 1593*q + 792 = 0.
-33, 1, 2, 24
Determine p, given that -21*p**4 - 1668*p**3 + 8109*p**2 + 3780*p = 0.
-84, -3/7, 0, 5
Factor -76*x**2 + 143340*x - 7544.
-4*(x - 1886)*(19*x - 1)
What is q in -q**2/7 - 6089*q/7 - 145560/7 = 0?
-6065, -24
Factor -u**2/10 - 309132*u/5 - 47781296712/5.
-(u + 309132)**2/10
Factor -2*k**4 - 304*k**3 + 614*k**2 - 308*k.
-2*k*(k - 1)**2*(k + 154)
Find f, given that f**3 + 1880*f**2 + 7507*f + 5628 = 0.
-1876, -3, -1
What is o in 2*o**4/15 + 288232*o**3/15 + 10388457068*o**2/15 + 17996917848*o + 116958861630 = 0?
-72045, -13
Solve f**3 - 463*f**2 + 11335*f + 11799 = 0 for f.
-1, 27, 437
Determine f, given that f**2/7 + 136601*f/7 = 0.
-136601, 0
Solve n**3/2 - 4105*n**2 - 8213*n/2 + 8211 = 0.
-2, 1, 8211
Suppose 2*d**4/5 + 688*d**3/5 + 676*d**2/5 - 3424*d/5 + 2058/5 = 0. What is d?
-343, -3, 1
Find j such that -4*j**2 + 48288*j = 0.
0, 12072
Determine w, given that -3*w**4/4 + 39*w**3/2 - 87*w**2 - 471*w/2 - 513/4 = 0.
-1, 9, 19
Find i, given that 3*i**3 - 2961*i**2 + 732105*i - 729147 = 0.
1, 493
Suppose -2*p**2/9 - 3980*p - 17820450 = 0. Calculate p.
-8955
Factor 5*b**2/2 - 548*b/3 + 73/6.
(b - 73)*(15*b - 1)/6
Find u, given that 5*u**5/4 - 35*u**4/2 - 265*u**3/4 + 2305*u**2/2 - 880*u - 2080 = 0.
-8, -1, 2, 8, 13
Find m such that 2*m**4/13 + 36*m**3/13 - 3482*m**2/13 - 21756*m/13 = 0.
-49, -6, 0, 37
Factor -2*f**2/3 - 787768*f/3 + 262590.
-2*(f - 1)*(f + 393885)/3
What is y in 4*y**5 + 768*y**4 + 56808*y**3 + 1982880*y**2 + 31274100*y + 157464000 = 0?
-48, -45, -9
Factor -5*f**2 + 410250*f + 820520.
-5*(f - 82052)*(f + 2)
Find q, given that -33*q**5/2 + 231267*q**4/2 - 202597776*q**3 + 18417024*q**2 = 0.
0, 1/11, 3504
Solve 4*n**3 + 460*n**2 + 908*n + 452 = 0 for n.
-113, -1
Factor 2*r**3/9 + 86*r**2/9 - 616*r/3 - 696.
2*(r - 18)*(r + 3)*(r + 58)/9
Factor g**3/7 + 31*g**2/7 - 166*g - 1960.
(g - 28)*(g + 10)*(g + 49)/7
Determine q, given that -5*q**3 + 10*q**2 + 845*q - 1690 = 0.
-13, 2, 13
Let 3*m**2 + 348*m + 1017 = 0. Calculate m.
-113, -3
Determine j, given that -5*j**5 + 230*j**4 - 2400*j**3 = 0.
0, 16, 30
Solve -3*i**5 + 9537*i**4 - 9525*i**3 - 28617*i**2 + 47676*i - 19068 = 0 for i.
-2, 1, 3178
Determine y, given that -3*y**2/5 - 378*y - 59160 = 0.
-340, -290
Solve 2*r**5/5 + 4*r**4/5 - 62*r**3 + 40*r**2 + 7168*r/5 + 6656/5 = 0.
-13, -4, -1, 8
Let j**4 + 9681*j**3 - 87186*j**2 + 232544*j - 155040 = 0. What is j?
-9690, 1, 4
Suppose 4*f**5 + 1336*f**4 + 9200*f**3 + 14360*f**2 - 9204*f - 15