(i + 696)/2
Determine b so that 30*b**5 - 835*b**4 + 6345*b**3 - 20115*b**2 + 27405*b - 12150 = 0.
5/6, 3, 18
Factor 2*w**4 + 270*w**3 + 10550*w**2 + 146250*w + 500000.
2*(w + 5)*(w + 25)**2*(w + 80)
Suppose -2*r**4/13 + 24*r**3/13 + 290*r**2/13 + 600*r/13 = 0. Calculate r.
-5, -3, 0, 20
Determine k, given that -k**2 - 26305*k/2 + 13153/2 = 0.
-13153, 1/2
Factor -8*b**2/11 - 5182*b/11 - 4524.
-2*(b + 638)*(4*b + 39)/11
Factor 5*x**4 + 4630*x**3 - 32615*x**2 + 37400*x + 74640.
5*(x - 4)**2*(x + 1)*(x + 933)
Factor y**4 - 58*y**3 + 453*y**2 + 18112*y - 191488.
(y - 32)**2*(y - 11)*(y + 17)
Suppose 4*h**2 + 420604*h = 0. Calculate h.
-105151, 0
Factor -5*t**2 + 162790*t - 1325029205.
-5*(t - 16279)**2
Find x such that -2*x**5/7 - 404*x**4/7 - 2704*x**3/7 + 5156*x**2/7 + 16818*x/7 + 9360/7 = 0.
-195, -8, -1, 3
Factor o**3/7 + 3067*o**2/7 + 359333*o + 35216111.
(o + 113)*(o + 1477)**2/7
Factor -5*q**5 + 155*q**4 + 120*q**3 - 3400*q**2 - 9680*q - 7440.
-5*(q - 31)*(q - 6)*(q + 2)**3
Determine l so that l**5/4 - 1944*l**4 + 15108733*l**3/4 + 15248721*l**2/2 - 120807896*l - 362983704 = 0.
-4, 6, 3889
Factor -3*w**4/5 + 13566*w**3/5 + 27141*w**2/5 + 13572*w/5.
-3*w*(w - 4524)*(w + 1)**2/5
Factor 3*z**3 + 321*z**2 - 9867*z + 67431.
3*(z - 13)**2*(z + 133)
Factor -44*l**3 - 3200*l**2 - 19728*l - 12672.
-4*(l + 6)*(l + 66)*(11*l + 8)
Factor -d**4/5 + 1617*d**3/5 - 660888*d**2/5 + 5817744*d/5.
-d*(d - 804)**2*(d - 9)/5
Solve 3*l**5 + 789*l**4 - 26352*l**3 + 287160*l**2 - 1143600*l + 882000 = 0 for l.
-294, 1, 10
Factor -3*u**2 + 4200*u + 111228.
-3*(u - 1426)*(u + 26)
Determine b so that -4*b**4 + 598*b**3 - 18836*b**2 - 9568*b = 0.
-1/2, 0, 46, 104
Solve -2*s**4 + 115956*s**3 - 1679564282*s**2 - 33626080440*s - 168188400200 = 0 for s.
-10, 28999
Determine w, given that 5*w**3 + 535*w**2 + 3460*w - 4000 = 0.
-100, -8, 1
Determine q, given that 2*q**5/17 - 1260*q**4/17 + 29166*q**3/17 - 47036*q**2/17 - 140856*q/17 + 159984/17 = 0.
-2, 1, 3, 22, 606
Suppose -5*y**5 - 9685*y**4 - 38635*y**3 + 48325*y**2 = 0. What is y?
-1933, -5, 0, 1
Factor o**3/10 + 54*o**2 - 14547*o/10 + 47827/5.
(o - 13)**2*(o + 566)/10
Find x, given that -3*x**2 - 37806*x - 37803 = 0.
-12601, -1
Solve 4*z**3/5 - 1036*z**2/5 - 67828*z/5 + 13772 = 0 for z.
-55, 1, 313
Factor -4*q**2 - 25436*q - 50856.
-4*(q + 2)*(q + 6357)
Solve -2*j**3/5 - 978*j**2/5 - 2304*j - 34344/5 = 0.
-477, -6
Suppose -5*d**5 - 30*d**4 + 45*d**3 + 290*d**2 + 60*d - 360 = 0. What is d?
-6, -2, 1, 3
Suppose -3*j**3/4 + 453*j**2/4 - 7569*j/2 + 3672 = 0. Calculate j.
1, 48, 102
Solve -14*b**4 + 85520*b**3 - 130540156*b**2 - 186623840*b - 55998150 = 0 for b.
-1, -3/7, 3055
Factor -4*b**3 + 612*b**2 - 1800*b.
-4*b*(b - 150)*(b - 3)
Factor 5*n**5 - 3180*n**4 + 502425*n**3 + 1017610*n**2.
5*n**2*(n - 319)**2*(n + 2)
Factor -g**3/10 + 242*g**2 - 301376*g/5 + 19864704/5.
-(g - 2148)*(g - 136)**2/10
Find d, given that d**3/4 + 517*d**2/4 - 11881*d/4 - 12397/4 = 0.
-539, -1, 23
Determine h, given that -2*h**4/7 + 2308*h**3/7 - 670458*h**2/7 + 2654200*h/7 - 2645000/7 = 0.
2, 575
Solve 2*v**4/5 - 338*v**3/5 + 15934*v**2/5 - 26702*v - 149784/5 = 0.
-1, 12, 79
Determine j so that 2*j**5/11 - 76*j**4/11 - 4*j**3 + 4144*j**2/11 + 8106*j/11 + 3996/11 = 0.
-6, -1, 9, 37
Factor -131043*r**2/8 - 2758173*r/4 - 58053603/8.
-3*(209*r + 4399)**2/8
Solve p**2 - 496*p + 9063 = 0.
19, 477
What is j in -j**2/7 + 261*j/7 + 5620/7 = 0?
-20, 281
Factor 2*p**2 - 89*p + 44.
(p - 44)*(2*p - 1)
Solve -3*s**5/2 - 11253*s**4/2 + 33777*s**3/2 - 33783*s**2/2 + 5631*s = 0 for s.
-3754, 0, 1
Factor 2*u**2/7 + 78292*u/7 - 78294/7.
2*(u - 1)*(u + 39147)/7
Let -3*a**2/4 - 51855*a/2 - 155538 = 0. What is a?
-34564, -6
Solve -2*l**2/3 - 670*l/3 + 14200/3 = 0 for l.
-355, 20
Determine v so that 2*v**4/3 + 41884*v**3/3 + 73080598*v**2 - 438609248*v/3 + 219325568/3 = 0.
-10472, 1
Determine i so that 4*i**4 + 40*i**3 + 12*i**2 - 376*i + 320 = 0.
-8, -5, 1, 2
Factor 2*g**3/25 + 104*g**2/25 + 568*g/25 + 736/25.
2*(g + 2)*(g + 4)*(g + 46)/25
Factor -2*t**3 - 48304*t**2 + 48306*t.
-2*t*(t - 1)*(t + 24153)
Suppose 4*b**5 + 467388*b**4 + 2804236*b**3 + 6075780*b**2 + 5608384*b + 1869456 = 0. Calculate b.
-116841, -2, -1
Factor -2*a**3/15 + 6644*a**2/15 - 6634*a/3.
-2*a*(a - 3317)*(a - 5)/15
Solve 21*b**2/4 + 1677213*b/4 + 239601/2 = 0 for b.
-79867, -2/7
Factor 2*q**2/7 + 3000*q/7 - 3002/7.
2*(q - 1)*(q + 1501)/7
Solve 21*b**5 - 6024*b**4 + 472899*b**3 - 5667168*b**2 - 7033920*b - 887808 = 0 for b.
-1, -1/7, 16, 136
Let 2*v**4 - 1270*v**3 + 204738*v**2 - 984690*v - 1190700 = 0. What is v?
-1, 6, 315
Suppose 22*m**5/9 + 20*m**4 - 430*m**3/9 - 820*m**2/3 - 48*m = 0. Calculate m.
-9, -3, -2/11, 0, 4
Factor 2497*v**4/9 - 89890*v**3/9 + 119848*v**2 - 479328*v - 384.
(v - 12)**3*(2497*v + 2)/9
Determine h so that -3*h**4/4 + 21915*h**3 - 320134317*h**2/2 - 320200065*h - 640443963/4 = 0.
-1, 14611
Solve 7*c**5/2 + 1045*c**4/2 + 23249*c**3 + 265782*c**2 + 74052*c = 0 for c.
-66, -17, -2/7, 0
Determine f so that -4*f**3 + 112*f**2 - 612*f + 504 = 0.
1, 6, 21
Factor -4*o**3 - 4376*o**2 + 57564*o.
-4*o*(o - 13)*(o + 1107)
Suppose 2*s**5/9 + 898*s**4/9 + 137588*s**3/9 + 7655656*s**2/9 + 72048080*s/9 + 174279616/9 = 0. What is s?
-146, -7, -4
Factor 5*f**5 + 75*f**4 + 330*f**3 + 590*f**2 + 465*f + 135.
5*(f + 1)**3*(f + 3)*(f + 9)
Determine p so that -4*p**5 + 26*p**4 + 486*p**3 + 506*p**2 - 2050*p - 2100 = 0.
-7, -5/2, -1, 2, 15
Let -2*h**2/3 - 674240*h - 170474841600 = 0. What is h?
-505680
Suppose 30603*s**4/2 - 6699633*s**3/2 - 7028667*s**2 - 540960*s - 10608 = 0. What is s?
-2, -4/101, 221
Factor 5*q**3 + 8950*q**2 + 3996160*q - 8028160.
5*(q - 2)*(q + 896)**2
Solve o**2/3 + 7868*o + 188768/3 = 0 for o.
-23596, -8
Suppose -4*n**2 - 127072*n + 127076 = 0. Calculate n.
-31769, 1
Let -y**5/5 + 86*y**4/5 - 2221*y**3/5 + 3148*y**2 - 25156*y/5 + 11552/5 = 0. Calculate y.
1, 8, 38
Suppose x**4/2 - 81*x**3 - 3335*x**2/2 - 9324*x - 15928 = 0. What is x?
-11, -4, 181
Determine t so that -t**4 + 11*t**3 + 752*t**2 - 5460*t = 0.
-26, 0, 7, 30
Determine v so that 2*v**2/7 + 9424*v/7 - 1120096/7 = 0.
-4828, 116
Suppose -h**3/4 - 897*h**2/2 - 95801*h/4 - 67821 = 0. What is h?
-1739, -52, -3
Let 4*c**2 - 46992*c - 94000 = 0. Calculate c.
-2, 11750
Solve 2*k**3/3 - 39642*k**2 + 589327882*k - 1767864722/3 = 0.
1, 29731
Suppose -15*j**3 + 165306*j**2 - 455467620*j + 182160600 = 0. Calculate j.
2/5, 5510
Factor -2*a**2/13 + 15960*a/13 - 63808/13.
-2*(a - 7976)*(a - 4)/13
Factor 5*d**2 - 45020*d - 90060.
5*(d - 9006)*(d + 2)
Solve 5*b**2/4 - 4570*b + 1307795/4 = 0 for b.
73, 3583
Let -2*o**3/11 + 892*o**2/11 + 190240*o/11 + 376896/11 = 0. What is o?
-156, -2, 604
Factor 42*j**4 - 3440*j**3 + 70274*j**2 + 6724*j.
2*j*(j - 41)**2*(21*j + 2)
Suppose -12*n**4 + 1612*n**3 - 14028*n**2 + 3428*n + 9000 = 0. Calculate n.
-2/3, 1, 9, 125
Factor 18*y**3 + 1119*y**2 + 186*y.
3*y*(y + 62)*(6*y + 1)
Suppose -w**3 + 1477*w**2 + 4*w - 5908 = 0. Calculate w.
-2, 2, 1477
Solve -2*d**3/9 - 340*d**2/3 - 1546*d - 12896/9 = 0.
-496, -13, -1
Factor -2*u**3/7 + 32*u**2/7 + 1480*u/7 + 7296/7.
-2*(u - 38)*(u + 6)*(u + 16)/7
Find j, given that -j**4 + 71*j**3 + 2217*j**2 - 26995*j + 71300 = 0.
-31, 5, 92
Find a such that -a**2/2 - 6969*a/2 + 41886 = 0.
-6981, 12
Determine a so that 5*a**4/2 - 545*a**3/2 + 8325*a**2/2 - 10935*a/2 - 61425 = 0.
-3, 6, 15, 91
Factor v**3 + 7944*v**2 - 143235*v + 644922.
(v - 9)**2*(v + 7962)
Find z, given that -50*z**3 - 50*z**2/3 + 48*z + 56/3 = 0.
-14/15, -2/5, 1
Solve 15*k**5 + 2496*k**4 + 5901*k**3 - 528*k**2 - 5916*k - 1968 = 0 for k.
-164, -2, -1, -2/5, 1
What is a in -3*a**4/5 + 1836*a**3/5 + 32031*a**2/5 + 30192*a/5 = 0?
-16, -1, 0, 629
Factor -4*z**4 + 1724*z**3 + 284884*z**2 + 10145140*z.
-4*z*(z - 565)*(z + 67)**2
What is y in -2*y**3 - 130*y**2 + 546*y - 414 = 0?
-69, 1, 3
Solve 4*d**2 - 11984*d + 472960 = 0.
40, 2956
Factor -2*k**2 - 466*k - 1380.
-2*(k + 3)*(k + 230)
Let n**4 + 34839*n**3 + 303386715*n**2 - 910473723*n = 0. Calculate n.
-17421, 0, 3
Find z such that 3*z**3/5 - 219*z**2/5 - 5862*z/5 - 1128 = 0.
-20, -1, 94
What is x in -2*x**5/11 + 760*x**4 - 8719462*x**3/11 - 34986608*x**2/11 - 26258784*x/11 = 0?
-3, -1, 0, 2092
Factor 9*o**4/2 - 101*o**3/2 + 287*o**2/2 - 195*o/