 14370928*x/3 - 85184 = 0. Calculate x.
6/337, 44
Solve -a**2/4 + 21707*a/2 = 0.
0, 43414
Factor 6*y**2/5 + 6651026*y/5 + 2217008/5.
2*(y + 1108504)*(3*y + 1)/5
Solve -2*h**4 + 764*h**3 - 73714*h**2 + 142120*h + 216600 = 0 for h.
-1, 3, 190
Suppose 2*d**2/17 + 156*d/17 - 656/17 = 0. Calculate d.
-82, 4
Find j such that -2*j**2/5 - 772996*j/5 - 74690352002/5 = 0.
-193249
Let -3*q**2 - 58551*q - 234156 = 0. Calculate q.
-19513, -4
Factor -5*u**2 - 20415*u + 61290.
-5*(u - 3)*(u + 4086)
What is k in 2*k**4/3 + 1374*k**3 - 23530*k**2 + 128806*k/3 - 20780 = 0?
-2078, 1, 15
Factor -4*s**2 - 7096*s - 63540.
-4*(s + 9)*(s + 1765)
Solve -4*v**2 - 4948*v - 703888 = 0 for v.
-1073, -164
Factor -10*l**2 + 16765*l + 8385.
-5*(l - 1677)*(2*l + 1)
Factor 2*m**2/17 - 506*m/17 + 4860/17.
2*(m - 243)*(m - 10)/17
Factor -d**2 + 23*d + 624.
-(d - 39)*(d + 16)
Factor 3*s**4 + 129*s**3 + 552*s**2 - 684*s.
3*s*(s - 1)*(s + 6)*(s + 38)
Solve 3*x**4 - 54*x**3 + 201*x**2 - 54*x - 312 = 0.
-1, 2, 4, 13
Factor -4*j**4/7 + 764*j**3/7 - 2124*j**2 + 14476*j - 33320.
-4*(j - 170)*(j - 7)**3/7
Factor -4*i**2/7 + 3246*i/7 + 232.
-2*(i - 812)*(2*i + 1)/7
What is g in -837*g**3/5 + 15003*g**2/5 - 9723*g/5 + 321 = 0?
1/3, 535/31
Let -f**3/6 - 77*f**2/3 - 305*f/6 - 76/3 = 0. Calculate f.
-152, -1
Factor -3*k**4 - 19443*k**3 - 41990391*k**2 - 30191039265*k + 60550195686.
-3*(k - 2)*(k + 2161)**3
Factor 2*t**5/3 - 136*t**4/3 - 6588*t**3 - 204120*t**2 - 1955178*t.
2*t*(t - 149)*(t + 27)**3/3
Factor 3*n**3/5 + 4689*n**2 - 23454*n/5 - 46896/5.
3*(n - 2)*(n + 1)*(n + 7816)/5
Let -2*j**2 + 11918*j + 23844 = 0. Calculate j.
-2, 5961
Factor -60050*y**2 + 120106*y - 12.
-2*(y - 2)*(30025*y - 3)
Factor -2*f**2/3 + 22*f + 1568/3.
-2*(f - 49)*(f + 16)/3
Determine g so that 2*g**5/5 + 62*g**4/5 + 124*g**3 + 388*g**2 - 622*g/5 - 2002/5 = 0.
-13, -11, -7, -1, 1
Suppose -5*d**4 - 13900*d**3 - 9421310*d**2 + 332474100*d - 2860592805 = 0. What is d?
-1407, 17
Factor 65*g**2 + 36415*g - 258090.
5*(g - 7)*(13*g + 7374)
Find u, given that -u**4/3 - 29*u**3/3 - 27*u**2 + 461*u/3 - 350/3 = 0.
-25, -7, 1, 2
Factor -2*d**2/9 + 1966*d/9 - 436.
-2*(d - 981)*(d - 2)/9
Factor -a**3 + 297*a**2 - 1167*a - 1465.
-(a - 293)*(a - 5)*(a + 1)
Let 8*v**5 - 5922*v**4 - 28264*v**3 - 34260*v**2 - 7456*v + 4470 = 0. Calculate v.
-3, -1, 1/4, 745
Determine s so that 2*s**4/7 + 4642*s**3/7 - 122098*s**2/7 - 126738*s/7 = 0.
-2347, -1, 0, 27
Factor 40*c**3/7 - 53842*c**2/7 + 18119852*c/7 - 905858/7.
2*(c - 673)**2*(20*c - 1)/7
Suppose 4*t**4/7 + 14472*t**3/7 + 12384*t**2 - 128*t/7 - 66048 = 0. What is t?
-3612, -4, 2
Determine s so that -4*s**5 - 3556*s**4 + 32300*s**3 - 25180*s**2 - 32296*s + 28736 = 0.
-898, -1, 1, 8
Let d**2/6 - 70919*d/6 - 11820 = 0. What is d?
-1, 70920
Solve -i**3 - 288*i**2 - 17909*i - 17622 = 0 for i.
-198, -89, -1
What is t in 5*t**3 + 620*t**2 - 198855*t + 9382230 = 0?
-286, 81
Factor 7*p**3/2 + 1103*p**2/2 + 1919*p - 924.
(p + 4)*(p + 154)*(7*p - 3)/2
Find j such that -44781*j**2 + j/3 = 0.
0, 1/134343
Factor 446347442*p**2/13 + 1732924*p/13 + 1682/13.
2*(14939*p + 29)**2/13
Factor 1859*q**2/3 + 35320*q/3 - 19/3.
(q + 19)*(1859*q - 1)/3
Solve -6*j**5/13 - 370*j**4/13 - 6332*j**3/13 - 19076*j**2/13 - 8062*j/13 + 5046/13 = 0 for j.
-29, -3, -1, 1/3
Suppose -4*d**2 - 482268*d + 964552 = 0. Calculate d.
-120569, 2
What is x in 2*x**2/5 - 62186*x/5 + 62176 = 0?
5, 31088
Suppose -10*l**5 - 58*l**4 - 122*l**3 - 110*l**2 - 36*l = 0. Calculate l.
-2, -9/5, -1, 0
What is p in p**2/5 - 8764*p/5 - 35072/5 = 0?
-4, 8768
Solve -10*c**5/11 + 456*c**4/11 + 7994*c**3/11 - 5136*c**2/11 - 3304*c/11 = 0.
-14, -2/5, 0, 1, 59
Let 7*y**3/5 + 95062*y**2/5 + 5432*y = 0. What is y?
-13580, -2/7, 0
Factor -3*u**4 + 204*u**3.
-3*u**3*(u - 68)
Find u, given that u**2 + 773*u - 268580 = 0.
-1033, 260
Factor 2*x**3/5 - 29708*x**2/5 + 110022978*x/5 + 442471752.
2*(x - 7437)**2*(x + 20)/5
Suppose -5*r**5 - 315*r**4 - 6070*r**3 - 36810*r**2 + 6075*r + 37125 = 0. Calculate r.
-33, -15, -1, 1
Factor 1762*z**3 - 7044*z**2 - 8826*z - 20.
2*(z - 5)*(z + 1)*(881*z + 2)
Determine s, given that -5*s**5 + 265*s**4 + 35*s**3 - 1885*s**2 + 1590*s = 0.
-3, 0, 1, 2, 53
Factor -n**3 - 4375*n**2/4 - 593469*n/2 + 5123817/4.
-(n + 549)**2*(4*n - 17)/4
Suppose 4*w**5/11 + 210*w**4/11 + 2624*w**3/11 + 12860*w**2/11 + 24300*w/11 + 9250/11 = 0. Calculate w.
-37, -5, -1/2
Factor f**4 + 72*f**3 + 261*f**2 - 742*f + 408.
(f - 1)**2*(f + 6)*(f + 68)
Find i such that -i**2/5 + 226646*i/5 - 12842102329/5 = 0.
113323
Determine r so that r**2 - 9003*r = 0.
0, 9003
Find r, given that 2*r**3/5 - 18258*r**2/5 + 164176*r/5 - 29184 = 0.
1, 8, 9120
Factor -n**2/5 - 256642*n/5 - 16466279041/5.
-(n + 128321)**2/5
Find o, given that -2*o**5 - 502*o**4 - 47024*o**3 - 1940248*o**2 - 29122496*o + 31110272 = 0.
-68, -58, 1
Factor 2*d**5/23 - 208*d**4/23 + 4896*d**3/23.
2*d**3*(d - 68)*(d - 36)/23
Factor -149*n**3 - 51258*n**2 - 688*n.
-n*(n + 344)*(149*n + 2)
Determine n so that -5*n**5 + 6135*n**4 - 2409720*n**3 + 258860480*n**2 + 17538946560*n - 54882017280 = 0.
-48, 3, 424
Factor -3*h**2/7 + 333*h - 389286/7.
-3*(h - 534)*(h - 243)/7
Factor -2*c**3/5 + 118*c**2/5 - 256*c/5 - 896.
-2*(c - 56)*(c - 8)*(c + 5)/5
Suppose 2261*h**3/3 - 11314*h**2/3 + 9089*h/3 - 12 = 0. What is h?
9/2261, 1, 4
Factor j**4 - 440*j**3 + 46607*j**2 + 394688*j + 752640.
(j - 224)**2*(j + 3)*(j + 5)
Find d such that -10*d**3/11 - 57*d**2/11 + 568*d/11 - 15 = 0.
-11, 3/10, 5
Factor -2*m**2 + 3242*m + 640444.
-2*(m - 1799)*(m + 178)
Factor p**3 - 1608*p**2 - 3219*p - 1610.
(p - 1610)*(p + 1)**2
Factor j**4/6 - 5*j**3/2 - 1027*j**2/3 - 4334*j + 14036/3.
(j - 58)*(j - 1)*(j + 22)**2/6
Solve 2*k**3/7 + 652*k**2/7 - 59200*k/7 = 0 for k.
-400, 0, 74
Suppose 5*v**2/4 - 14079*v/4 - 704 = 0. Calculate v.
-1/5, 2816
Solve -4*l**5 + 384*l**4 - 4728*l**3 - 469904*l**2 + 12891228*l - 34347024 = 0 for l.
-36, 3, 43
Determine s, given that 9*s**4/5 + 534*s**3/5 - 912*s**2/5 + 186*s/5 + 183/5 = 0.
-61, -1/3, 1
Factor -3*d**3 + 348*d**2 - 10404*d + 19440.
-3*(d - 60)*(d - 54)*(d - 2)
Determine z, given that 4*z**2 + 360*z = 0.
-90, 0
Solve -4*f**5/9 + 4624*f**4/9 + 9292*f**3/9 - 32440*f**2/9 + 6176*f/3 = 0 for f.
-4, 0, 1, 1158
Factor -4*g**4 - 946504*g**3 - 55991863876*g**2.
-4*g**2*(g + 118313)**2
Factor -4*w**3 - 2116*w**2 - 20860*w - 51900.
-4*(w + 5)**2*(w + 519)
Let 4*v**3 + 160*v**2 - 2204*v + 2040 = 0. What is v?
-51, 1, 10
Suppose 18*y**4/5 - 7896*y**3/5 + 841754*y**2/5 + 5338668*y/5 = 0. Calculate y.
-6, 0, 667/3
Find r, given that -3*r**5/2 + 23577*r**4/2 - 46311117*r**3/2 - 46358277*r**2/2 + 23155560*r + 23167350 = 0.
-1, 1, 3930
Factor -5*b**3 + 3815*b**2 - 11310*b - 68400.
-5*(b - 760)*(b - 6)*(b + 3)
Factor -h**2 - 273998*h - 18768726001.
-(h + 136999)**2
Suppose z**2/6 + 1499*z/6 + 48818 = 0. Calculate z.
-1268, -231
Solve 3*c**5/5 + 237*c**4/5 + 1086*c**3 + 32076*c**2/5 + 8856*c = 0.
-41, -30, -6, -2, 0
Factor v**2/7 + 6614*v/7.
v*(v + 6614)/7
Factor 2*s**3/5 + 120*s**2 + 2376*s/5 + 2368/5.
2*(s + 2)**2*(s + 296)/5
Solve -2*j**3 + 344*j**2 - 18810*j + 332100 = 0 for j.
45, 82
Let 6*x**2 + 3585*x/2 = 0. Calculate x.
-1195/4, 0
Determine m, given that 4*m**5 - 3700*m**4 + 639740*m**3 + 104713060*m**2 + 411056640*m + 408438288 = 0.
-97, -2, 513
Find y such that -2*y**2/3 + 958*y/3 + 56764 = 0.
-138, 617
Factor 3*r**3 + 645*r**2 + 19656*r - 1762236.
3*(r - 37)*(r + 126)**2
Suppose -l**3/3 + 76*l**2/3 + 137*l - 162 = 0. Calculate l.
-6, 1, 81
Determine a, given that -114*a**4/5 - 11637*a**3/5 + 17712*a**2/5 = 0.
-1968/19, 0, 3/2
Let -n**3/4 - 39*n**2/4 + 964*n - 6960 = 0. Calculate n.
-87, 8, 40
Determine z, given that -3*z**4 - 1776*z**3 - 3537*z**2 + 1776*z + 3540 = 0.
-590, -2, -1, 1
Factor 2*t**2 - 30234*t - 30236.
2*(t - 15118)*(t + 1)
Suppose -15*y**5/7 + 99*y**4 + 186*y**3 - 288*y**2/7 = 0. What is y?
-2, 0, 1/5, 48
Determine h, given that -5*h**3 - 645*h**2 - 610*h + 3840 = 0.
-128, -3, 2
Factor -4*a**4 - 176*a**3 + 948*a**2 - 1552*a + 784.
-4*(a - 2)**2*(a - 1)*(a + 49)
Find s, given that -s**5/3 - 13*s**4/3 - 11*s**3/3 + 193*s**2/3 + 4*s - 60 = 0.
-10, -6, -1, 1, 3
Solve 5*s**3 - 129126*s**2 - 103305*s + 25826 = 0 for s.
-1, 1/5, 25826
Solve 3*w**2/5 + 7428*w/5 + 420732/5 = 0.
-2418, -58
