*3/7 + 5349*v**2/7 + 5340*v/7 - 10692/7 = 0.
-1782, -2, 1
What is m in 284980*m**2 + 1709872*m - 48 = 0?
-6, 2/71245
Factor 3*t**3/4 + 182313*t**2/4 + 182304*t + 182301.
3*(t + 2)**2*(t + 60767)/4
Determine w so that -2*w**5/7 + 180*w**4/7 - 2236*w**3/7 - 11848*w**2/7 + 145470*w/7 + 625300/7 = 0.
-5, 13, 74
Solve -p**2/5 + 3359*p/5 = 0 for p.
0, 3359
Factor -2*o**2/5 + 113504*o/5 - 113502/5.
-2*(o - 56751)*(o - 1)/5
Find t, given that t**2/3 - 164*t/3 - 55 = 0.
-1, 165
Factor 5*h**3/3 + 620*h**2/3 + 4165*h + 3960.
5*(h + 1)*(h + 24)*(h + 99)/3
Suppose 3*f**2/5 - 573*f/5 + 11592/5 = 0. Calculate f.
23, 168
Factor 4*x**3 + 896*x**2 - 36*x - 8064.
4*(x - 3)*(x + 3)*(x + 224)
Factor -c**5/5 - c**4 - 9*c**3/5 - 7*c**2/5 - 2*c/5.
-c*(c + 1)**3*(c + 2)/5
Factor -310225683*x**2/7 + 122028*x/7 - 12/7.
-3*(10169*x - 2)**2/7
Solve -d**3/4 + 91*d**2/4 - 2183*d/4 + 11165/4 = 0 for d.
7, 29, 55
Suppose 2*a**2/13 - 1046*a/13 + 6204/13 = 0. Calculate a.
6, 517
Factor -q**2/6 - 2229*q/2 + 26780/3.
-(q - 8)*(q + 6695)/6
Determine v, given that -16*v**3 - 2764*v**2 - 10184*v - 7436 = 0.
-169, -11/4, -1
Factor x**2/2 + 4843*x/2.
x*(x + 4843)/2
Factor -3*k**3 + 15087*k**2 + 15090*k.
-3*k*(k - 5030)*(k + 1)
Determine b so that 1542761284*b**3/5 - 3085601124*b**2/5 + 157113*b/5 - 2/5 = 0.
1/39278, 2
Factor 4*b**2 - 160*b - 5124.
4*(b - 61)*(b + 21)
Determine h so that -8*h**3/7 - 374*h**2/7 + 1726*h/7 - 408/7 = 0.
-51, 1/4, 4
Factor 5*o**3 + 2535*o**2 + 19915*o - 22455.
5*(o - 1)*(o + 9)*(o + 499)
Solve 7*k**5/2 - 395*k**4 + 13019*k**3/2 - 28924*k**2 + 19422*k + 3384 = 0.
-1/7, 1, 6, 12, 94
Factor 2*r**2/11 - 2648*r - 87402/11.
2*(r - 14567)*(r + 3)/11
Factor x**3/5 - 7*x**2/5 - 98*x/5.
x*(x - 14)*(x + 7)/5
Suppose 5*z**3 + 23385*z**2 + 163450*z = 0. Calculate z.
-4670, -7, 0
Let 4*a**4 - 516*a**3 + 19188*a**2 - 161660*a + 250632 = 0. What is a?
2, 9, 59
Factor 89811*l**2/7 - 6*l/7.
3*l*(29937*l - 2)/7
Factor 2*y**2/3 - 2662*y/3 - 6244.
2*(y - 1338)*(y + 7)/3
Determine l, given that -2*l**3/7 + 40*l**2/7 + 296*l/7 + 416/7 = 0.
-4, -2, 26
Solve u**3/10 + 377*u**2/2 + 942*u/5 = 0 for u.
-1884, -1, 0
Solve 172*b**3 - 40952*b**2 - 37300*b + 3824 = 0 for b.
-1, 4/43, 239
Determine z so that 5*z**4/2 - 12*z**3 - 203*z**2/2 + 15*z + 432 = 0.
-16/5, -3, 2, 9
Factor 2*t**2 - 1064*t - 3210.
2*(t - 535)*(t + 3)
Find q such that -q**4/10 - 649*q**3/5 - 24804*q**2/5 - 64051*q - 2766023/10 = 0.
-1259, -13
Determine v, given that 3*v**5 - 90*v**4 + 597*v**3 + 306*v**2 - 4704*v - 4320 = 0.
-2, -1, 4, 9, 20
Solve -3*b**3/4 - 4842*b**2 + 9687*b = 0 for b.
-6458, 0, 2
Determine j, given that -2*j**2/17 + 71716*j/17 - 642898082/17 = 0.
17929
Factor -11424200*h**2 - 33460*h - 49/2.
-(4780*h + 7)**2/2
Factor -36*b**3 + 844768*b**2 - 4955690676*b - 1101306312.
-4*(b - 11733)**2*(9*b + 2)
What is y in -12*y**5 - 2841*y**4 - 25989*y**3 + 19646367*y**2 + 14753637*y - 4915890 = 0?
-153, -1, 1/4, 70
Suppose 4*a**3/3 + 184*a**2/3 + 52*a - 360 = 0. Calculate a.
-45, -3, 2
Let 475*d**4 + 73960*d**3 + 51765*d**2 - 24820*d - 3100 = 0. Calculate d.
-155, -1, -2/19, 2/5
Suppose -g**4/7 - 3971*g**3/7 - 3940222*g**2/7 + 3952140*g/7 + 7888392/7 = 0. What is g?
-1986, -1, 2
Factor n**4/6 + 841*n**3/6 - 51301*n**2/6 + 756059*n/6.
n*(n - 29)**2*(n + 899)/6
Factor -2*l**3/9 - 8*l**2 + 1334*l/9 - 1100/3.
-2*(l - 11)*(l - 3)*(l + 50)/9
Factor -3*f**2/5 - 72882*f/5 - 442648827/5.
-3*(f + 12147)**2/5
Factor -2*k**2/5 - 4242*k/5 - 29596/5.
-2*(k + 7)*(k + 2114)/5
Let 3*v**2 - 205473*v + 821844 = 0. What is v?
4, 68487
Factor 2*s**3/11 - 28*s**2/11 - 82*s + 928/11.
2*(s - 29)*(s - 1)*(s + 16)/11
Factor -5*p**3/4 - 107*p**2/4 - 367*p/2 - 396.
-(p + 8)*(p + 9)*(5*p + 22)/4
Factor 4*s**3 - 3412*s**2 - 65992*s - 244160.
4*(s - 872)*(s + 5)*(s + 14)
Factor -4*j**3 + 224*j**2 - 2292*j - 2520.
-4*(j - 42)*(j - 15)*(j + 1)
Let 2*s**3/11 + 1448*s**2/11 - 10222*s/11 + 8772/11 = 0. Calculate s.
-731, 1, 6
Factor -3*u**2 + 26118*u - 547155.
-3*(u - 8685)*(u - 21)
Factor 3*m**3 - 7296*m**2 + 72660*m.
3*m*(m - 2422)*(m - 10)
Determine f so that f**2/3 + 20168*f + 305061168 = 0.
-30252
Suppose -2*k**5/7 + 2606*k**4/7 = 0. Calculate k.
0, 1303
Let 2*p**4 - 2484*p**3 + 768794*p**2 + 1545048*p + 773768 = 0. What is p?
-1, 622
Factor 2*z**3/11 - 15762*z**2/11 + 94518*z/11 - 141750/11.
2*(z - 7875)*(z - 3)**2/11
Find a such that 25*a**4 - 87020*a**3 + 156579*a**2 - 83500*a + 13916 = 0.
2/5, 1, 3479
Suppose -2*b**3 - 202*b**2 - 4998*b + 5202 = 0. Calculate b.
-51, 1
Factor -3*o**3 + 2769*o**2 + 5547*o + 2775.
-3*(o - 925)*(o + 1)**2
Determine s, given that 4*s**3 + 1140*s**2 = 0.
-285, 0
Find g, given that 4*g**3 + 68*g**2 - 424*g + 352 = 0.
-22, 1, 4
Factor 3*b**3 - 1791*b**2 + 87048*b - 1105260.
3*(b - 545)*(b - 26)**2
Find b, given that 2*b**2/19 + 481996*b/19 = 0.
-240998, 0
Factor -b**5/4 - 249*b**4 - 60997*b**3 + 499992*b**2 - 1008016*b.
-b*(b - 4)**2*(b + 502)**2/4
Factor -2*f**2/5 - 533684*f/5 - 35602326482/5.
-2*(f + 133421)**2/5
Determine o so that 315*o**2 + 649205*o - 20610 = 0.
-2061, 2/63
Suppose -a**4 + 76*a**3 + 451*a**2 - 44926*a + 44400 = 0. Calculate a.
-24, 1, 25, 74
Let w**2/3 - 12314*w + 113725947 = 0. Calculate w.
18471
Find h such that -5*h**3 - 2225*h**2 - 4415*h + 6645 = 0.
-443, -3, 1
Suppose -k**2/8 + 469*k/2 + 1877/8 = 0. Calculate k.
-1, 1877
Determine x, given that x**2 + 1258*x - 61335 = 0.
-1305, 47
Factor -202*c**2/11 - 952*c/11.
-2*c*(101*c + 476)/11
Suppose -m**2/9 - 6154*m/9 + 210392/9 = 0. Calculate m.
-6188, 34
Factor -4*a**4 - 1208*a**3 - 93572*a**2 - 355216*a.
-4*a*(a + 4)*(a + 149)**2
Let -5*q**3 - 4370*q**2 + 57595*q - 53220 = 0. What is q?
-887, 1, 12
Solve 1080*h**4 - 54096660*h**3 + 27048150*h**2 - 4508015*h + 250445 = 0.
1/6, 50089
Factor -4*o**4 + 456*o**3 + 1872*o**2 + 1888*o.
-4*o*(o - 118)*(o + 2)**2
Factor -4*u**3 - 32*u**2 + 236*u - 312.
-4*(u - 3)*(u - 2)*(u + 13)
Factor -x**2 - 2232736*x - 1246277511424.
-(x + 1116368)**2
Factor -2*k**3/11 + 2258*k**2/11 + 6792*k/11.
-2*k*(k - 1132)*(k + 3)/11
Find d such that 5*d**5 + 390*d**4 - 2185*d**3 - 9210*d**2 - 6640*d = 0.
-83, -2, -1, 0, 8
Factor -2*i**2 - 142*i + 8580.
-2*(i - 39)*(i + 110)
Factor -44*v**2 - 218644*v - 39752.
-4*(v + 4969)*(11*v + 2)
Factor 3*h**3/8 + 381*h**2/8 - 2367*h/8 + 3591/8.
3*(h - 3)**2*(h + 133)/8
Find h such that -36124*h**2 + 32*h = 0.
0, 8/9031
Solve -3*i**3 - 35259*i**2 - 104353665*i - 4422252225 = 0.
-5855, -43
Find h such that h**4 - 620123*h**3 + 96138443843*h**2 - 96137823721*h = 0.
0, 1, 310061
Find a such that -a**2/4 - 8291*a/2 = 0.
-16582, 0
Determine b, given that -205*b**5 + 620*b**4 - 220*b**3 - 610*b**2 + 425*b - 10 = 0.
-1, 1/41, 1, 2
Factor -3*q**3 - 49176*q**2 + 98361*q - 49182.
-3*(q - 1)**2*(q + 16394)
Determine s so that s**3/4 + 1487*s**2/4 - 1489*s/2 = 0.
-1489, 0, 2
Factor v**2/4 - 967*v/2.
v*(v - 1934)/4
Let -9*n**5 + 354*n**4 - 369*n**3 - 3264*n**2 - 1620*n + 912 = 0. What is n?
-2, -1, 1/3, 4, 38
Factor -5*y**3 - 30*y**2 + 245*y - 330.
-5*(y - 3)*(y - 2)*(y + 11)
Factor -2*c**2/15 + 442936*c/15 - 24524037512/15.
-2*(c - 110734)**2/15
Suppose -3*y**3 - 24619*y**2 + 41038*y - 16416 = 0. What is y?
-8208, 2/3, 1
Factor 2*r**2/13 - 48702*r/13 - 146124/13.
2*(r - 24354)*(r + 3)/13
Determine d so that -4*d**4 + 5360*d**3 - 2381496*d**2 + 345140912*d + 2534527772 = 0.
-7, 449
Factor j**3/6 - 2017*j**2/3 + 2075840*j/3 - 27888112.
(j - 1996)**2*(j - 42)/6
Factor 3*s**3 - 30489*s**2 - 427287*s - 1496019.
3*(s - 10177)*(s + 7)**2
Suppose 2*n**5/17 - 2080*n**4/17 + 488*n**3 - 8288*n**2/17 = 0. What is n?
0, 2, 1036
Suppose 2*u**5 + 1776*u**4/5 - 9832*u**3/5 + 9228*u**2/5 + 14238*u/5 - 6588/5 = 0. Calculate u.
-183, -1, 2/5, 3
Find a such that 15*a**5 + 561*a**4 + 2277*a**3 + 3327*a**2 + 1992*a + 396 = 0.
-33, -2, -1, -2/5
Factor 3*z**3 + 288*z**2 + 4560*z.
3*z*(z + 20)*(z + 76)
Suppose 2704*l**3/3 + 272272*l**2 + 20940*l + 1208/3 = 0. Calculate l.
-302, -1/26
Let v**2/3 - 151768*v + 455303/3 = 0. What is v?
1, 455303
Let 4*n**5 - 328*n**4/5 - 4752*n**3/5 - 6368*n**2/5 + 3328*n/5 = 0. Calculate n.
-8, -2, 0, 2/5, 26
Suppose 12*f**3 - 1326190*f**2 + 36641137736*f + 6106893128 = 0. Calculate f.
-1/6, 55258
Find r such that 5*r**2/6 - 10330*r/3 + 6885/2 = 0.
1, 4131
Factor -2*h**2/3 + 49810*h