2 + 2439*o - 1219.
-(o - 1219)*(2*o - 1)
Suppose -2*c**5 + 78*c**4 + 964*c**3 + 804*c**2 - 962*c - 882 = 0. Calculate c.
-9, -1, 1, 49
Solve -2*x**3/9 - 4178*x**2/9 + 16738*x/9 - 4186/3 = 0 for x.
-2093, 1, 3
Factor s**3/7 - 237*s**2/7 + 11492*s/7.
s*(s - 169)*(s - 68)/7
Determine i so that -i**3/4 - 411*i**2/4 - 9309*i - 18209 = 0.
-278, -131, -2
Determine j, given that -4*j**5/7 + 9132*j**4/7 - 5768076*j**3/7 + 634933732*j**2/7 - 19633451520*j/7 + 19004276736/7 = 0.
1, 64, 1077
Solve -6*t**4 - 11296*t**3 + 26426*t**2 + 67876*t + 30160 = 0 for t.
-1885, -1, -2/3, 4
Find i such that 10*i**4/7 - 314*i**3/7 - 30006*i**2/7 - 395278*i/7 + 23276 = 0.
-23, 2/5, 77
Factor -3*a**4/4 - 621*a**3 + 183024*a**2 - 15835020*a + 444126924.
-3*(a - 82)**3*(a + 1074)/4
Factor -3*t**2/4 + 1359*t/4 - 72975/2.
-3*(t - 278)*(t - 175)/4
Factor -3*y**3/2 - 103*y**2/2 - 64*y + 66.
-(y + 2)*(y + 33)*(3*y - 2)/2
Let -4*o**2/3 - 3272*o/3 + 35092 = 0. Calculate o.
-849, 31
Factor -4*f**5 + 24*f**4 + 280*f**3 - 2800*f**2 + 7500*f - 5000.
-4*(f - 5)**3*(f - 1)*(f + 10)
Factor 5*b**3 + 560*b**2 - 2905*b + 2340.
5*(b - 4)*(b - 1)*(b + 117)
Suppose 2*n**2/11 + 1246*n/11 + 2484/11 = 0. What is n?
-621, -2
Factor 2*i**3/7 - 24872*i**2/7 + 77351914*i/7 - 154604356/7.
2*(i - 6217)**2*(i - 2)/7
Factor -12*k**4/5 + 398*k**3/5 - 66*k**2/5.
-2*k**2*(k - 33)*(6*k - 1)/5
Factor 3*t**4/7 - 618*t**3/7 - 24012*t**2 - 10919544*t/7 - 222427680/7.
3*(t - 380)*(t + 58)**3/7
Factor 4*v**2/3 + 100*v - 3784/3.
4*(v - 11)*(v + 86)/3
Factor -f**3/12 - 31*f**2/2 - 830*f/3.
-f*(f + 20)*(f + 166)/12
Suppose 4*g**4 + 80*g**3 + 204*g**2 = 0. What is g?
-17, -3, 0
Factor 2*q**3/7 - 256360*q**2/7 + 8214799834*q/7 + 16430625124/7.
2*(q - 64091)**2*(q + 2)/7
Factor 5*f**3 - 705*f**2 + 25075*f - 256215.
5*(f - 93)*(f - 29)*(f - 19)
Let -8*i**5/5 - 176*i**4/5 + 2326*i**3/5 + 554*i**2 - 4424*i/5 + 248 = 0. Calculate i.
-31, -2, 1/2, 10
Find s such that 4*s**5/3 - 1172*s**4/9 + 8528*s**3/9 - 22592*s**2/9 + 8192*s/3 - 960 = 0.
2/3, 2, 3, 90
Let 4*j**3 - 40*j**2 + 64*j = 0. What is j?
0, 2, 8
Find j, given that -45*j**3 - 8900*j**2 - 99060*j + 234080 = 0.
-1672/9, -14, 2
Factor a**4/4 - 23*a**3/4 + 155*a**2/4 - 325*a/4.
a*(a - 13)*(a - 5)**2/4
What is l in 3*l**5 - 117*l**4 + 756*l**3 + 8736*l**2 - 12672*l - 52272 = 0?
-6, -2, 3, 22
Let -8*m**4 - 4104*m**3 + 13*m**2/2 + 3336*m + 1539/2 = 0. What is m?
-513, -3/4, -1/4, 1
Find d, given that -2*d**4/7 - 4*d**3/7 + 1256*d**2/7 - 356*d + 1242/7 = 0.
-27, 1, 23
Factor -142*h**4 + 332*h**3 - 238*h**2 + 48*h.
-2*h*(h - 1)**2*(71*h - 24)
Let -2*f**3 - 38*f**2 + 9200*f + 308936 = 0. Calculate f.
-46, 73
Factor -4*r**2 - 15213*r - 3803.
-(r + 3803)*(4*r + 1)
Factor 3249*y**3/5 - 347757*y**2/5 + 12199*y/5 - 107/5.
(y - 107)*(57*y - 1)**2/5
Factor -5*n**2 - 8280*n - 3427920.
-5*(n + 828)**2
Solve -j**4/4 + 3801*j**3/4 - 3617595*j**2/4 + 10818603*j/4 = 0.
0, 3, 1899
Factor -3*g**4 + 726*g**3 - 43491*g**2.
-3*g**2*(g - 133)*(g - 109)
Suppose 2*p**5 - 948*p**4 + 3760*p**3 = 0. Calculate p.
0, 4, 470
Suppose -5*u**3 - 1470*u**2 - 22155*u + 23630 = 0. Calculate u.
-278, -17, 1
Factor 3*h**3 - 24603*h**2 - 12*h + 98412.
3*(h - 8201)*(h - 2)*(h + 2)
Factor -q**3/3 + 1510*q**2 - 188453*q/3 - 64328.
-(q - 4488)*(q - 43)*(q + 1)/3
Suppose -u**3/7 + 415*u**2/7 - 46000*u/7 + 600000/7 = 0. Calculate u.
15, 200
Factor 3*w**2/8 + 5097*w/8 - 46359/4.
3*(w - 18)*(w + 1717)/8
Determine j so that j**4/5 - 204*j**3/5 + 13482*j**2/5 - 263092*j/5 - 335727 = 0.
-5, 63, 73
Determine d so that -2*d**5 - 37*d**4 - 79*d**3 + 439*d**2 + 705*d - 450 = 0.
-15, -5, -2, 1/2, 3
Solve 20*k**4 - 665*k**3 + 5235*k**2 + 5525*k - 10115 = 0.
-7/4, 1, 17
Factor 8*m**2/3 + 1714*m + 117610/3.
2*(m + 619)*(4*m + 95)/3
Let y**3/3 - 253*y**2 + 57609*y - 12360677/3 = 0. What is y?
173, 413
Determine s so that 4*s**5/3 + 400*s**4/3 - 3136*s**3 - 43432*s**2/3 - 13252*s/3 + 21896 = 0.
-119, -3, -2, 1, 23
Solve -347*d**4 + 362*d**3 + 332*d**2 - 362*d + 15 = 0.
-1, 15/347, 1
Factor -2*l**2/13 - 428*l/13 - 402.
-2*(l + 13)*(l + 201)/13
Let -2*q**4/3 - 1468*q**3/3 - 11626*q**2/3 - 7160*q/3 + 24200 = 0. What is q?
-726, -5, 2
Let 2*z**4/3 - 6848*z**3/3 - 20588*z**2 - 103040*z/3 + 171650/3 = 0. Calculate z.
-5, 1, 3433
What is a in 3*a**4/2 - 231*a**3/2 - 1743*a**2/2 - 1809*a/2 + 1890 = 0?
-5, -3, 1, 84
Find j such that -2*j**5/15 + 2878*j**4/15 - 2864*j**3/15 - 17264*j**2/15 + 11488*j/15 + 23008/15 = 0.
-2, -1, 2, 1438
Let n**5 + 45220*n**4 + 135646*n**3 - 226088*n**2 - 135647*n + 180868 = 0. What is n?
-45217, -4, -1, 1
Factor -4*g**3 + 872*g**2 - 28076*g + 27208.
-4*(g - 179)*(g - 38)*(g - 1)
Find v, given that 6*v**4 - 16*v**3/3 - 38*v**2/3 - 4*v/3 = 0.
-1, -1/9, 0, 2
Solve -k**3 - 130*k**2 - 129*k = 0.
-129, -1, 0
Factor 5*r**3 + 4515*r**2 - 18125*r + 13605.
5*(r - 3)*(r - 1)*(r + 907)
What is x in 75*x**3 - 8331*x**2 + 8916*x - 660 = 0?
2/25, 1, 110
Determine p, given that -3*p**2 - 531*p - 11016 = 0.
-153, -24
Find a such that -4*a**4 - 26568*a**3 + 292592*a**2 - 931320*a + 665300 = 0.
-6653, 1, 5
Let 30*q**4 + 475*q**3 + 520*q**2 - 3460*q + 560 = 0. What is q?
-14, -4, 1/6, 2
Determine a, given that -34675*a**4 - 173370*a**3 - 104000*a**2 + 312090*a - 45 = 0.
-3, 1/6935, 1
Solve 4*r**4 + 680*r**3 - 36*r**2 - 6120*r = 0.
-170, -3, 0, 3
Determine u, given that 4*u**4 + 1448*u**3 + 60064*u**2 + 602112*u - 1456128 = 0.
-316, -24, 2
Find b, given that -2*b**5 - 138*b**4 - 2002*b**3 + 7002*b**2 - 4860*b = 0.
-45, -27, 0, 1, 2
Factor q**2 + 476065*q - 476066.
(q - 1)*(q + 476066)
Suppose -3*d**2 - 3072*d - 143325 = 0. Calculate d.
-975, -49
What is z in z**3/3 - 21*z**2 - 118*z + 952/3 = 0?
-7, 2, 68
Determine i, given that 2*i**2/15 - 12614*i/15 = 0.
0, 6307
Factor -4*b**2 - 3520*b + 7056.
-4*(b - 2)*(b + 882)
Solve -3*m**4 + 39*m**3 - 180*m**2 + 348*m - 240 = 0 for m.
2, 4, 5
What is n in 2*n**3/3 + 370*n**2/3 + 3884*n/3 + 3248 = 0?
-174, -7, -4
Determine k, given that k**2/4 - 11208*k + 44831/4 = 0.
1, 44831
Factor -2*k**2/5 + 148*k/5 + 462/5.
-2*(k - 77)*(k + 3)/5
Factor -z**5/6 + 119*z**4 - 38955*z**3/2 - 1926974*z**2/3.
-z**2*(z - 371)**2*(z + 28)/6
Factor -2*a**3 - 208*a**2 - 4952*a + 10752.
-2*(a - 2)*(a + 42)*(a + 64)
Factor 2*h**2/9 - 544148*h/3 + 37012130738.
2*(h - 408111)**2/9
Factor 3*i**4 - 2216*i**3 - 5187*i**2.
i**2*(i - 741)*(3*i + 7)
Suppose 4*o**5 + 908602*o**4/3 + 22932104918*o**3/3 + 64308416792478*o**2 - 10720829846430*o - 21436563635892 = 0. Calculate o.
-25239, -1/2, 2/3
What is q in -15*q**3 + 324*q**2 - 1749*q + 936 = 0?
3/5, 8, 13
Determine w, given that -8*w**5/3 - 124*w**4/3 - 553*w**3/6 - 73*w**2 - 39*w/2 = 0.
-13, -1, -3/4, 0
Find d, given that 3*d**2 - 3196743*d = 0.
0, 1065581
Let -2*s**4 + 1252*s**3 + 344494*s**2 - 169155216*s - 36508343328 = 0. Calculate s.
-243, 556
Suppose -x**2 + 2420594*x - 1464818828209 = 0. What is x?
1210297
Determine x so that 2*x**2 + 63102*x - 252440 = 0.
-31555, 4
Solve -d**5/5 + 16*d**4 + 794*d**3/5 + 632*d**2/5 - 793*d/5 - 712/5 = 0 for d.
-8, -1, 1, 89
Factor -z**3/5 - 972*z**2/5 - 4811*z/5 + 23208/5.
-(z - 3)*(z + 8)*(z + 967)/5
Solve 12967201*x**4/8 + 3601*x**3/2 + x**2/2 = 0.
-2/3601, 0
Factor 28*v**3 + 1384*v**2 + 7628*v - 4816.
4*(v + 7)*(v + 43)*(7*v - 4)
Determine h, given that -7*h**5/4 + 1830*h**4 - 1890519*h**3/4 - 6047431*h**2/2 - 5182941*h - 1245042 = 0.
-3, -2/7, 526
Factor -3*c**2/5 + 10088274*c/5 - 8481106024923/5.
-3*(c - 1681379)**2/5
Let -7*q**5 - 16280*q**4 + 4673*q**3 + 48854*q**2 + 18604*q - 9304 = 0. Calculate q.
-2326, -1, 2/7, 2
Factor -3*g**3 - 2739*g**2 + 67032*g - 404784.
-3*(g - 12)**2*(g + 937)
Factor -c**4 - 518*c**3 - 497*c**2 + 10340*c.
-c*(c - 4)*(c + 5)*(c + 517)
Factor 1058*v**3/5 + 180872*v**2/5 - 37920*v + 49536/5.
2*(v + 172)*(23*v - 12)**2/5
Solve 3*x**5/4 + 2664*x**4 - 96141*x**3/4 + 10809*x**2/2 + 224397*x + 192294 = 0.
-3561, -2, -1, 6
Determine m so that -2*m**3/7 + 184*m**2/7 - 3530*m/7 - 1116 = 0.
-2, 31, 63
Factor -l**4/5 + 254*l**3/5 - 21672*l**2/5 + 127008*l - 1185408/5.
-(l - 84)**3*(l - 2)/5
Solve 5*q**4/3 + 24*q**3 - 785*q**2/3 + 368*q - 132 = 0.
-22, 3/5, 1, 6
Determine g so that -5*g**3/3 - 10*g**2 - 5*g + 50/3 = 0.
-5, -2, 1
Factor 3*u**3 + 10842*u**2 + 9817395*u + 39096300.
3*(u + 4)*(u + 1805)**2
Find