(l + 316)/5
Factor -z**2/2 + 51*z/2 + 26471.
-(z - 257)*(z + 206)/2
Determine s so that -s**3/3 + 16*s**2/3 + 1073*s/3 - 5984 = 0.
-33, 17, 32
Find w, given that -3*w**5 + 486*w**4 - 19683*w**3 = 0.
0, 81
Let -2*c**2/15 - 64*c/15 + 182/5 = 0. Calculate c.
-39, 7
Factor 3*c**3 - 35169*c**2 + 103089129*c - 103053963.
3*(c - 5861)**2*(c - 1)
Factor d**5/4 - 17481*d**4/2 + 305620321*d**3/4 - 152783940*d**2 + 76387600*d.
d*(d - 17480)**2*(d - 1)**2/4
Factor 13402*p**2/3 + 4462*p - 16/3.
2*(p + 1)*(6701*p - 8)/3
Let -175*w**4 + 39715*w**3 + 163445*w**2 + 130485*w + 6930 = 0. What is w?
-3, -1, -2/35, 231
Find s, given that -15*s**5 + 58*s**4 + 23*s**3 - 58*s**2 - 8*s = 0.
-1, -2/15, 0, 1, 4
Let a**3/2 + 6997*a**2/2 + 94095*a = 0. What is a?
-6970, -27, 0
Factor 3*v**3/4 - 211473*v**2/4 + 3726841545*v/4 - 3726630075/4.
3*(v - 35245)**2*(v - 1)/4
Determine u so that u**3/2 + 6468*u**2 + 20917512*u = 0.
-6468, 0
Find r such that -30*r**5 + 85*r**4 + 60*r**3 - 170*r**2 - 30*r + 85 = 0.
-1, 1, 17/6
Factor 12*u**3 - 1708*u**2 - 25676*u - 91924.
4*(u + 7)**2*(3*u - 469)
Factor n**2/2 + 27*n - 1035/2.
(n - 15)*(n + 69)/2
Factor 5*a**2 + 126000*a + 793800000.
5*(a + 12600)**2
Find o, given that -3*o**2 + 13677*o - 150084 = 0.
11, 4548
Let -5*b**4/4 + 717595*b**3/4 - 25746052775*b**2/4 - 77244616815*b/4 = 0. What is b?
-3, 0, 71761
Factor -2*k**3 + 1524*k**2 - 4534*k - 15180.
-2*(k - 759)*(k - 5)*(k + 2)
Determine m so that -m**3/6 - 8*m**2 + 931*m/6 - 147 = 0.
-63, 1, 14
Determine g, given that -2*g**3 + 292*g**2 - 9618*g + 91728 = 0.
21, 104
Suppose 2*h**3/13 + 1656*h**2/13 - 67550*h/13 + 65892/13 = 0. Calculate h.
-867, 1, 38
Determine k so that -246*k**2 - 96686*k - 3144 = 0.
-393, -4/123
Factor u**3/7 - 137*u**2/7 - 1752*u/7 - 5364/7.
(u - 149)*(u + 6)**2/7
Determine k so that -5*k**3 + 960*k**2 - 13455*k + 31860 = 0.
3, 12, 177
What is h in -3*h**4/4 - 159*h**3/2 - 2103*h**2/4 - 582*h + 1188 = 0?
-99, -4, 1
Factor -2*a**3/3 + 542*a**2/3 - 1740*a.
-2*a*(a - 261)*(a - 10)/3
Factor -t**2/3 + 48*t - 645.
-(t - 129)*(t - 15)/3
Find h, given that -2*h**2 + 221694*h = 0.
0, 110847
Let 2*m**3 - 11924*m**2/5 + 40402*m/5 + 28536/5 = 0. Calculate m.
-3/5, 4, 1189
Let 5*h**5 - 605*h**4 + 995*h**3 + 22865*h**2 + 40300*h + 19040 = 0. Calculate h.
-4, -1, 8, 119
Suppose 2*f**2/13 + 854*f/13 - 180420/13 = 0. Calculate f.
-582, 155
Factor 4*y**2 - 6988*y + 246384.
4*(y - 1711)*(y - 36)
Factor -h**2/2 - 364210*h - 728418.
-(h + 2)*(h + 728418)/2
Factor -g**3/2 + 75285*g**2/2 - 1416920163*g/2 - 1416995449/2.
-(g - 37643)**2*(g + 1)/2
Factor -2*m**2 - 931496*m - 108460599752.
-2*(m + 232874)**2
Factor -3*s**3 - 174*s**2 + 12435*s + 25542.
-3*(s - 43)*(s + 2)*(s + 99)
Suppose -3*c**4 - 237*c**3 - 2166*c**2 - 6720*c - 6624 = 0. Calculate c.
-69, -4, -2
Factor -4*v**4 - 729840*v**3 + 2189544*v**2 - 2189552*v + 729852.
-4*(v - 1)**3*(v + 182463)
Let -5*z**3 - 780*z**2 - 4540*z - 6000 = 0. What is z?
-150, -4, -2
Suppose -5*l**4 - 950*l**3 - 49305*l**2 - 817600*l - 1445500 = 0. Calculate l.
-118, -35, -2
Find x such that -2*x**2/7 - 198*x + 4176/7 = 0.
-696, 3
What is h in -h**5/5 + 2484*h**4 - 51431204*h**3/5 + 71060595338*h**2/5 - 212205673227*h/5 - 141813075238 = 0?
-2, 5, 4139
Determine f so that 320*f**4/3 - 1864*f**3/3 + 844*f**2 + 192*f - 36 = 0.
-3/10, 1/8, 3
Factor 5*a**2 - 25*a - 1500.
5*(a - 20)*(a + 15)
Solve 5*i**4 - 1655*i**3 + 3295*i**2 - 1645*i = 0 for i.
0, 1, 329
Suppose -g**2 + 1872*g + 1873 = 0. Calculate g.
-1, 1873
Find f, given that -f**2/6 + 820*f + 24625/6 = 0.
-5, 4925
Factor -2*m**5/5 - 290*m**4 - 52996*m**3 - 157252*m**2 - 156674*m - 260642/5.
-2*(m + 1)**3*(m + 361)**2/5
Suppose -12*k**2 - 782*k - 2356 = 0. Calculate k.
-62, -19/6
Factor p**2/4 + 109*p - 12501/4.
(p - 27)*(p + 463)/4
Factor -4*n**2 + 27224*n - 46321636.
-4*(n - 3403)**2
Find q such that -5*q**5 + 240*q**4 + 1300*q**3 + 1350*q**2 - 1295*q - 1590 = 0.
-3, -2, -1, 1, 53
What is r in -21*r**4 + 1518*r**3 - 26856*r**2 - 49248*r + 1026432 = 0?
-6, 44/7, 36
Factor 4*y**2 + 1184116*y + 1184112.
4*(y + 1)*(y + 296028)
Suppose -2*h**4/3 + 94*h**3/3 - 280*h**2 + 552*h + 864 = 0. Calculate h.
-1, 6, 36
Solve 9*p**4 - 246*p**3 - 1575*p**2 + 7464*p - 2304 = 0 for p.
-8, 1/3, 3, 32
Determine u so that -361*u**4/4 + 12977*u**3/2 - 35896*u**2 + 51744*u = 0.
0, 56/19, 66
Factor -3*p**2 - 399*p - 9048.
-3*(p + 29)*(p + 104)
Factor -104*n**2/3 - 166*n + 810.
-2*(n - 3)*(52*n + 405)/3
Suppose y**2/2 + 105*y/2 + 1333 = 0. What is y?
-62, -43
Solve 2*a**4/3 + 518*a**3/3 + 8380*a**2/3 + 36904*a/3 + 9680 = 0.
-242, -10, -6, -1
Factor 5*q**3 - 13860*q**2 + 9577200*q + 38530880.
5*(q - 1388)**2*(q + 4)
Factor t**3/2 - 87703*t**2/2 - 175409*t/2 - 87705/2.
(t - 87705)*(t + 1)**2/2
Factor -i**3/6 - 373*i**2/6 + 3*i/2 + 1119/2.
-(i - 3)*(i + 3)*(i + 373)/6
Factor 4*d**2 + 7104*d + 503792.
4*(d + 74)*(d + 1702)
Suppose -10*t**3/9 + 14*t**2/3 + 364*t/9 - 160/3 = 0. What is t?
-5, 6/5, 8
Factor t**5 - 1543*t**4 + 4620*t**3.
t**3*(t - 1540)*(t - 3)
Solve v**3 + 2446*v**2/3 - 1640*v/3 - 2176 = 0 for v.
-816, -4/3, 2
Determine w, given that w**5/3 - 37*w**4 + 1102*w**3/3 - 36*w**2 - 9320*w/3 + 4000 = 0.
-3, 2, 10, 100
Solve -2*b**2/5 + 20*b - 250 = 0.
25
Factor 5*n**2 + 15275*n + 15270.
5*(n + 1)*(n + 3054)
Suppose -b**3 - 90023*b**2 - 2025990120*b + 2026080144 = 0. Calculate b.
-45012, 1
Solve -u**4/7 - 1487*u**3/7 - 5935*u**2/7 - 4449*u/7 = 0 for u.
-1483, -3, -1, 0
Factor -5*a**4 - 24230*a**3 - 29306145*a**2 + 117515500*a - 117612500.
-5*(a - 2)**2*(a + 2425)**2
Suppose 4*x**3 - 619112*x**2 + 23956229284*x = 0. What is x?
0, 77389
Find k, given that -3*k**2 - 143076*k - 143073 = 0.
-47691, -1
Factor -6*f**2/7 - 114*f - 26496/7.
-6*(f + 64)*(f + 69)/7
Solve -b**5 - 124*b**4 + 3577*b**3 + 3700*b**2 = 0 for b.
-148, -1, 0, 25
Determine p so that -2*p**2/7 + 19104*p/7 + 1832930/7 = 0.
-95, 9647
Solve 3*f**5/7 - 156*f**4/7 - 150*f**3/7 + 7800*f**2/7 + 1875*f/7 - 97500/7 = 0 for f.
-5, 5, 52
Let 2*i**3 + 758*i**2 + 54142*i - 54902 = 0. Calculate i.
-283, -97, 1
Solve j**3 - 117465*j**2 + 469848*j - 469844 = 0 for j.
2, 117461
Solve -u**5/3 - 490*u**4 + 8*u**3/3 + 3920*u**2 - 16*u/3 - 7840 = 0.
-1470, -2, 2
Suppose 3*n**3/5 - 408561*n**2/5 - 326856*n - 1634292/5 = 0. Calculate n.
-2, 136191
Factor m**3/9 - 23*m**2/9 + 56*m/3 - 44.
(m - 11)*(m - 6)**2/9
Find h such that 2*h**4/9 + 32*h**3 + 1664*h**2 + 36864*h + 294912 = 0.
-48, -24
Determine h so that -4*h**4 - 848*h**3 - 38616*h**2 + 670768*h - 2502724 = 0.
-113, 7
Factor -3*x**3 - 231*x**2 - 636*x + 2220.
-3*(x - 2)*(x + 5)*(x + 74)
Factor -3*w**2/2 - 7467*w/2 - 161370.
-3*(w + 44)*(w + 2445)/2
Let b**4/7 - 17589*b**3/7 + 103106712*b**2/7 - 201332934080*b/7 - 604927237632/7 = 0. What is b?
-3, 5864
Solve -4*c**2 + 12648*c - 37908 = 0 for c.
3, 3159
Solve -28*q**5 - 2640*q**4 - 35780*q**3 + 113920*q**2 - 50832*q - 24640 = 0.
-77, -20, -2/7, 1, 2
Factor 3*z**2 - 30966*z - 30969.
3*(z - 10323)*(z + 1)
Find c, given that -44*c**2 - 69176*c - 12576 = 0.
-1572, -2/11
Suppose 7832882*w**3 - 47496*w**2 + 72*w = 0. What is w?
0, 6/1979
Factor 3*h**3 - 32472*h**2.
3*h**2*(h - 10824)
Factor -m**3/6 - 186641*m**2/6 - 4354404520*m/3 - 4354311200/3.
-(m + 1)*(m + 93320)**2/6
Factor k**2 - 933*k + 13770.
(k - 918)*(k - 15)
Determine r, given that 195*r**3 - 5844*r**2 - 6225*r - 186 = 0.
-1, -2/65, 31
Factor 3*i**3/8 - 3127*i**2/8 + 4165*i/8 - 1041/8.
(i - 1041)*(i - 1)*(3*i - 1)/8
Suppose 972*t**5 + 8640*t**4 - 127329*t**3 - 265869*t**2 + 30714*t - 864 = 0. What is t?
-16, -2, 1/18, 9
Let -5*u**2 + 17795*u = 0. Calculate u.
0, 3559
Determine v so that v**4/3 - 701*v**3/3 - 35860*v**2/3 - 68908*v/3 = 0.
-46, -2, 0, 749
Factor p**3/4 - p/4.
p*(p - 1)*(p + 1)/4
Let -289*s**2 - 274*s + 15 = 0. What is s?
-1, 15/289
Let 742*w**3/9 + 6662*w**2/9 - 7564*w/9 + 160/9 = 0. Calculate w.
-10, 8/371, 1
What is l in -5*l**2 - 5820*l + 142560 = 0?
-1188, 24
Let -95630513778*z**2 - 1749336*z - 8 = 0. What is z?
-2/218667
Find f such that 4*f**3/7 + 1692*f**2/7 + 95136*f/7 - 96832/7 = 0.
-356, -68, 1
Find q, given that 2*q**2 + 275678*q - 275680 = 0.
-137840, 1
Factor -2*z**2/7 - 1312*z/7 - 1310/7.
-2*(z + 1)*(z + 655)/7
Factor -5*v**3 + 26160*v**2 - 34295625*v + 204833070.
-5*(v - 2613)**2*(v - 6