35)
Suppose 10*s**4 + 45375*s**3 + 22650*s**2 - 158825*s - 136110 = 0. What is s?
-4537, -3/2, -1, 2
Factor -5*n**3 + 245*n**2 - 1960*n - 4940.
-5*(n - 38)*(n - 13)*(n + 2)
Find y, given that -2*y**5/3 - 4*y**4/3 + 52*y**3/3 + 104*y**2/3 - 50*y/3 - 100/3 = 0.
-5, -2, -1, 1, 5
Let -3*p**2/5 + 65913*p + 329568/5 = 0. Calculate p.
-1, 109856
Let 2*y**2 - 2100*y - 34112 = 0. Calculate y.
-16, 1066
Find p such that 23513*p**2 + 23512*p - 1 = 0.
-1, 1/23513
Solve -52*u**4 + 2300*u**3 - 20380*u**2 + 37140*u - 19008 = 0.
1, 16/13, 9, 33
Suppose -3*s**2 - 140766*s + 140769 = 0. What is s?
-46923, 1
Determine q so that 476*q**2 + 4115*q/3 + 100/3 = 0.
-20/7, -5/204
Find a such that -a**2/4 - 1046*a - 2091 = 0.
-4182, -2
What is o in -2*o**4/9 - 10*o**3/9 + 22*o**2 - 158*o/9 - 364/9 = 0?
-13, -1, 2, 7
Determine g, given that -5*g**3 - 38895*g**2 - 1858320*g - 22265280 = 0.
-7731, -24
Factor -l**2 + 7614*l - 7613.
-(l - 7613)*(l - 1)
Factor 7*r**3/4 - 446*r**2 - 512*r.
r*(r - 256)*(7*r + 8)/4
Suppose -h**3 - 85*h**2 - 2387*h - 22103 = 0. Calculate h.
-31, -23
Find p, given that -100*p**3 - 3360*p**2 + 30652*p - 27192 = 0.
-206/5, 1, 33/5
Find z, given that -5*z**4 + 495*z**3 - 15120*z**2 + 157120*z - 522240 = 0.
8, 32, 51
Factor n**3 - 773*n**2 - 1558*n + 6200.
(n - 775)*(n - 2)*(n + 4)
Solve -359*v**5 + 5011*v**4/2 + 40313*v**3/2 + 17652*v**2 + 360*v = 0 for v.
-4, -1, -15/718, 0, 12
Suppose 3*n**2 + 2076*n - 21060 = 0. What is n?
-702, 10
What is a in 2*a**4 - 4850*a**3 + 19370*a**2 - 4830*a - 29052 = 0?
-1, 2, 3, 2421
Factor 2*x**3/11 - 16*x**2 + 672*x/11.
2*x*(x - 84)*(x - 4)/11
Solve -4*i**3/5 - 18328*i**2/5 - 36644*i/5 - 3664 = 0.
-4580, -1
What is t in -2*t**3/3 - 5964*t**2 + 2*t/3 + 5964 = 0?
-8946, -1, 1
Solve -3*q**4/2 + 3517*q**3 - 46787*q**2/2 + 31568*q - 11690 = 0.
2/3, 1, 5, 2338
Determine z, given that 196*z**3 + 448*z**2 + 284*z + 32 = 0.
-8/7, -1, -1/7
Determine m so that -10*m**3/11 - 5591*m**2/11 - 17257*m/11 - 11676/11 = 0.
-556, -21/10, -1
Determine h, given that 3*h**2/4 + 5733*h/2 + 11454 = 0.
-3818, -4
Factor 130696*u**3 + 407836*u**2 + 335392*u + 26508.
4*(31*u + 47)**2*(34*u + 3)
Factor u**2/9 - 97630*u/9 - 21696.
(u - 97632)*(u + 2)/9
Factor -2*l**3 + 186*l**2 + 157584*l + 12964232.
-2*(l - 361)*(l + 134)**2
Factor 2*b**2 - 30214*b + 90624.
2*(b - 15104)*(b - 3)
What is j in 20*j**5/3 - 2278*j**4/3 + 10838*j**3/3 - 17092*j**2/3 + 9608*j/3 - 1744/3 = 0?
2/5, 1/2, 2, 109
Suppose 8*s**2/9 + 15268*s/9 + 38120/9 = 0. Calculate s.
-1906, -5/2
What is g in 2*g**3 + 8774*g**2 - 140768*g + 563584 = 0?
-4403, 8
Factor g**5 - 231*g**4 - 92662*g**3 - 8380478*g**2 - 239523339*g - 231235291.
(g - 469)*(g + 1)*(g + 79)**3
Factor 12*q**4 - 7700*q**3 + 1233924*q**2 + 412164*q.
4*q*(q - 321)**2*(3*q + 1)
Let d**5 + 416*d**4 - 18*d**3 - 7488*d**2 + 81*d + 33696 = 0. What is d?
-416, -3, 3
Let 2*h**4/7 + 180*h**3/7 + 2176*h**2/7 + 3648*h/7 = 0. Calculate h.
-76, -12, -2, 0
Solve 5*p**4 - 2385*p**3 + 62715*p**2 + 65105*p = 0 for p.
-1, 0, 29, 449
Factor -2*w**5/3 - 268*w**4/3 + 542*w**3/3 - 272*w**2/3.
-2*w**2*(w - 1)**2*(w + 136)/3
Determine a so that 2*a**5/13 - 612*a**4/13 + 45248*a**3/13 + 612*a**2/13 - 45250*a/13 = 0.
-1, 0, 1, 125, 181
Suppose 20*q**3 + 1406*q**2 - 1000*q - 426 = 0. What is q?
-71, -3/10, 1
Let 2*l**5 + 106*l**4 + 294*l**3 - 4834*l**2 - 1208*l + 17640 = 0. Calculate l.
-49, -9, -2, 2, 5
What is p in 3*p**2/5 - 10182*p/5 - 20376/5 = 0?
-2, 3396
Find q such that -2*q**5 - 66*q**4 - 620*q**3 - 1260*q**2 + 622*q + 1326 = 0.
-17, -13, -3, -1, 1
Factor -50187*y**2/2 + 50181*y/2 + 3.
-3*(y - 1)*(16729*y + 2)/2
Determine c so that 21*c**5 + 235*c**4 - 296*c**3 - 1036*c**2 + 848*c + 384 = 0.
-12, -2, -1/3, 8/7, 2
Let 12*r**5 - 81*r**4 - 1146*r**3 + 8100*r**2 - 5400*r = 0. Calculate r.
-10, 0, 3/4, 6, 10
Suppose -3*j**2/8 + 68427*j/8 + 34215/4 = 0. What is j?
-1, 22810
What is j in -j**5/5 + 24*j**4/5 + 54*j**3 + 172*j**2 + 1011*j/5 + 396/5 = 0?
-4, -3, -1, 33
Determine d so that 5*d**4 + 8535*d**3 - 60*d**2 - 102340*d + 136560 = 0.
-1707, -4, 2
Factor 4*n**4 - 4112*n**3 - 41436*n**2 - 87192*n.
4*n*(n - 1038)*(n + 3)*(n + 7)
Let 12*o**4 + 3248*o**3 + 213960*o**2 - 835152*o - 5780852 = 0. What is o?
-137, -11/3, 7
Suppose 4*j**2 - 2288*j - 191216 = 0. Calculate j.
-74, 646
Factor -s**2/4 + 3747*s/4 + 4690.
-(s - 3752)*(s + 5)/4
Find y such that -4*y**5/3 - 256*y**4/3 + 1652*y**3/3 - 1984*y**2/3 - 1648*y/3 + 2240/3 = 0.
-70, -1, 1, 2, 4
Suppose 3*z**3 + 3668*z**2 - 4900*z - 4896 = 0. What is z?
-1224, -2/3, 2
Let -252*v**3 + 97584*v**2 - 23212*v - 3096 = 0. What is v?
-2/21, 1/3, 387
Factor r**3/2 - 353*r**2/2 - 1997*r - 1820.
(r - 364)*(r + 1)*(r + 10)/2
Solve 5*m**5 - 230*m**4 - 725*m**3 - 490*m**2 = 0 for m.
-2, -1, 0, 49
Let r**4/2 - 35*r**3 - 222*r**2 - 452*r - 304 = 0. What is r?
-2, 76
Find c such that 2*c**3/13 - 1194*c**2 + 170520*c/13 - 155000/13 = 0.
1, 10, 7750
Factor 4*i**3/3 - 244*i**2 + 8156*i/3 + 2964.
4*(i - 171)*(i - 13)*(i + 1)/3
Factor 9207*o**2 - 10167*o - 70.
(9*o - 10)*(1023*o + 7)
Factor o**2/3 + 35*o/3 - 5662.
(o - 114)*(o + 149)/3
Factor h**2/5 - 11649*h/5 - 34956/5.
(h - 11652)*(h + 3)/5
Suppose -j**2/3 - 53*j + 160/3 = 0. Calculate j.
-160, 1
Find k such that -k**3/4 + 136*k**2 - 19028*k + 143648 = 0.
8, 268
Factor 6*i**3 - 113*i**2/4 - 265*i/4 + 57/2.
(i + 2)*(3*i - 19)*(8*i - 3)/4
Suppose -2*h**3/3 + 1378*h**2 - 20632*h/3 + 8248 = 0. What is h?
2, 3, 2062
Factor -5*k**3 - 2835*k**2 + 20030*k - 34440.
-5*(k - 4)*(k - 3)*(k + 574)
Let 2*m**5 - 30*m**4 - 2684*m**3 - 7728*m**2 = 0. What is m?
-28, -3, 0, 46
Factor 2*g**4 + 802*g**3 + 13182*g**2 + 48222*g - 62208.
2*(g - 1)*(g + 9)**2*(g + 384)
What is l in -4*l**2 - 18792*l + 188320 = 0?
-4708, 10
Solve -18*d**4 + 1777*d**3 + 6003*d**2 + 1530*d = 0 for d.
-3, -5/18, 0, 102
Solve -2*h**2 - 1324652*h - 219337865138 = 0.
-331163
Factor 2*g**3/5 + 522*g**2/5 + 206*g - 1554/5.
2*(g - 1)*(g + 3)*(g + 259)/5
Determine h so that 3*h**3/5 - 51*h**2/5 - 10947*h/5 + 65559 = 0.
-65, 41
Factor b**2 + 447*b/11 + 850/11.
(b + 2)*(11*b + 425)/11
Let -b**5 - 1506*b**4 + 24288*b**3 - 97408*b**2 = 0. Calculate b.
-1522, 0, 8
Factor 5*i**4 + 860*i**3 + 53780*i**2 + 1444800*i + 14112000.
5*(i + 30)**2*(i + 56)**2
Factor 2*z**2/7 + 820*z/7 - 47022/7.
2*(z - 51)*(z + 461)/7
Factor 50*g**4/3 - 130630*g**3/3 + 26122*g**2 - 78362*g/15 + 5224/15.
2*(g - 2612)*(5*g - 1)**3/15
Find n, given that -9*n**4 - 403206*n**3 - 268791*n**2 + 403206*n + 268800 = 0.
-44800, -1, -2/3, 1
Factor 4*f**2 - 2748*f + 10928.
4*(f - 683)*(f - 4)
Determine a, given that -4*a**4/5 + 1232*a**3/5 + 3724*a**2/5 + 2488*a/5 = 0.
-2, -1, 0, 311
Determine v so that -2*v**3/13 - 6366*v**2/13 - 5049792*v/13 + 25408360/13 = 0.
-1594, 5
Solve 2*t**3 - 7554*t**2 + 7144182*t - 21364614 = 0.
3, 1887
Factor v**5/6 - 149*v**4/6 - 153*v**3 - 926*v**2/3 - 620*v/3.
v*(v - 155)*(v + 2)**3/6
Solve 3*q**5/4 - 21*q**4/2 - 219*q**3/4 + 21*q**2/2 + 54*q = 0.
-4, -1, 0, 1, 18
Find a such that 5*a**5 + 5*a**4 - 260*a**3 + 220*a**2 + 480*a = 0.
-8, -1, 0, 2, 6
Let -4*i**5 - 14152*i**4 + 198640*i**3 - 965624*i**2 + 1846740*i - 1065600 = 0. Calculate i.
-3552, 1, 3, 5
Factor 2*c**3/15 - 25028*c**2/15 + 78300098*c/15.
2*c*(c - 6257)**2/15
Determine l so that -52*l**3 - 404*l**2 - 600*l = 0.
-75/13, -2, 0
Find g such that 1805*g**4 - 88255*g**3 + 77335*g**2 + 8875*g + 240 = 0.
-1/19, 1, 48
Determine f, given that 6*f**5/5 - 12322*f**4/5 + 1636*f**3 + 65668*f**2/5 + 57478*f/5 + 12318/5 = 0.
-1, -1/3, 3, 2053
Solve 2*r**4/11 + 11778*r**3/11 + 23522*r**2/11 - 153042*r/11 + 117740/11 = 0.
-5887, -5, 1, 2
Factor -3*x**5 + 51*x**4 - 264*x**3 + 216*x**2 + 1296*x - 1296.
-3*(x - 6)**3*(x - 1)*(x + 2)
Factor 2*z**2/21 + 186400*z/21 + 186398/21.
2*(z + 1)*(z + 93199)/21
Determine u so that -20*u**4 + 294485*u**3 - 662520*u**2 + 441665*u - 73610 = 0.
1/4, 1, 14722
Suppose 2*b**4/7 + 439444*b**3 + 1577072379240*b**2/7 + 269512732866582900*b/7 - 269514309942038250/7 = 0. Calculate b.
-512685, 1
Factor -4*m**3 - 424*m**2 + 29200*m - 56672.
-4*(m - 46)*(m - 2)*(m + 154)
Factor -2*t**3/5 + 466*t**2 + 2340*t.
-2*t*(t - 1170)*(t + 5)/5
Factor -z**3/3 + 25*z**2/3 + 494*z/3.
-z*(z - 38)*(z + 13)/3
Factor 5*o**3 - 83905*o**2 - 5*o + 83905.
5*(o - 16781)*(o - 1