*2 + 6885*v = 0. Calculate v.
-153, -9, 0, 1
Solve 5*p**3 - 6785*p**2 - 34080*p + 40860 = 0.
-6, 1, 1362
Factor -b**2/2 + 3727*b - 13890529/2.
-(b - 3727)**2/2
Factor 4*j**2 - 3084*j + 86072.
4*(j - 742)*(j - 29)
Let 20*d**3 - 7692*d**2/5 + 2880*d = 0. Calculate d.
0, 48/25, 75
What is f in -f**5/5 - 234*f**4/5 - 1787*f**3/5 + 4754*f**2/5 + 1788*f/5 - 904 = 0?
-226, -10, -1, 1, 2
Factor -q**5 + 22*q**4 + 12*q**3 - 630*q**2 - 1323*q.
-q*(q - 21)*(q - 7)*(q + 3)**2
Factor 2*c**2/3 - 68*c/21 - 10.
2*(c - 7)*(7*c + 15)/21
Solve -f**3/4 + 206491*f**2 - 1651925*f/4 + 412981/2 = 0.
1, 825962
Factor -3*p**3 + 1689*p**2 - 3369*p + 1683.
-3*(p - 561)*(p - 1)**2
Factor -q**2/3 + 1212*q.
-q*(q - 3636)/3
Determine d, given that 2*d**5 + 268*d**4 + 3868*d**3 + 10568*d**2 - 33822*d + 19116 = 0.
-118, -9, 1
Factor 4*x**2 - 2796*x - 541624.
4*(x - 857)*(x + 158)
Factor -3*b**2 + 381*b - 2178.
-3*(b - 121)*(b - 6)
What is r in r**3/2 - 4039*r**2/2 - 154565*r/2 - 1471797/2 = 0?
-19, 4077
Determine m so that -18*m**5/5 + 4154*m**4/5 - 271398*m**3/5 + 3604662*m**2/5 - 1568192*m - 1923432/5 = 0.
-2/9, 3, 14, 107
Factor 31*i**2/3 + 17729*i/3 - 572.
(i + 572)*(31*i - 3)/3
Suppose 2*h**2/7 - 2524688*h/7 + 796756187168/7 = 0. Calculate h.
631172
Factor 2*p**2/7 - 214*p + 117480/7.
2*(p - 660)*(p - 89)/7
Suppose 3*y**3 - 39792*y**2 + 131830815*y + 792418050 = 0. Calculate y.
-6, 6635
Factor 3*w**3/2 - 3078*w**2 + 1495944*w + 86322912.
3*(w - 1052)**2*(w + 52)/2
Factor -f**2/4 + 219636*f - 48239972496.
-(f - 439272)**2/4
Factor -2*t**3/5 + 39668*t**2/5 - 196693778*t/5.
-2*t*(t - 9917)**2/5
Factor -2*r**2/9 + 1108*r/3 - 3306.
-2*(r - 1653)*(r - 9)/9
Factor 2*o**3/5 - 30*o**2 + 846*o/5 - 1242/5.
2*(o - 69)*(o - 3)**2/5
Determine n, given that -5*n**3 + 92885*n**2 - 431427600*n + 431334720 = 0.
1, 9288
Determine n so that n**4 + 3472*n**3 + 3017117*n**2 + 5853890*n - 144490800 = 0.
-1735, -8, 6
Find q, given that 3*q**3/4 - 39*q**2 - 196119*q/4 = 0.
-231, 0, 283
What is v in -2*v**4/11 - 138*v**3/11 - 1440*v**2/11 - 4104*v/11 = 0?
-57, -6, 0
Determine c so that 2*c**2/5 - 404*c + 234768/5 = 0.
134, 876
Factor 3*u**2/4 - 193125*u/2 - 386253/4.
3*(u - 128751)*(u + 1)/4
Suppose 2*b**2 - 4845*b/2 + 1211/2 = 0. What is b?
1/4, 1211
Find x such that -4*x**4/7 + 26344*x**3/7 - 78992*x**2/7 - 26344*x/7 + 78996/7 = 0.
-1, 1, 3, 6583
Let -1698*o**4/13 + 3392*o**3/13 + 40760*o**2/13 + 96*o/13 = 0. Calculate o.
-4, -2/849, 0, 6
Suppose 2*o**2 - 348066*o = 0. What is o?
0, 174033
What is u in -9*u**5/2 - 912*u**4 + 6159*u**3/2 - 2169*u**2 - 1230*u + 1236 = 0?
-206, -2/3, 1, 2
Find y, given that 3*y**4 - 12093*y**3 + 16257015*y**2 - 7299367503*y + 14533803642 = 0.
2, 1343
Factor b**3/2 + 56701*b**2/2 - 28351*b.
b*(b - 1)*(b + 56702)/2
Find f such that 4*f**3/7 + 8640*f**2/7 + 12300*f + 215000/7 = 0.
-2150, -5
Determine z so that 4*z**4 - 1756*z**3 + 191840*z**2 + 193600*z = 0.
-1, 0, 220
Let -h**3/2 + 41243*h**2 - 1700985049*h/2 = 0. Calculate h.
0, 41243
Determine m, given that -4*m**2 + 432760*m - 11705076100 = 0.
54095
Determine v so that -2*v**5 + 934*v**4 + 5676*v**3 + 108*v**2 - 50922*v - 76626 = 0.
-3, 3, 473
Suppose 2*u**2/5 + 738*u/5 - 26532/5 = 0. What is u?
-402, 33
Suppose -911645*k**3 - 141322055*k**2 - 2647480*k - 12400 = 0. Calculate k.
-155, -4/427
Factor -3*m**2 - 3411*m - 70308.
-3*(m + 21)*(m + 1116)
Factor v**2/3 + 1963*v/3 + 59744.
(v + 96)*(v + 1867)/3
Factor -6*b**4 - 122*b**3 + 250*b**2/3 - 14*b.
-2*b*(b + 21)*(3*b - 1)**2/3
Determine v, given that 4*v**3/7 + 3392*v**2/7 - 10212*v/7 = 0.
-851, 0, 3
Determine y so that 304*y**2 + 1572*y + 1008 = 0.
-84/19, -3/4
Factor 4*f**3/7 - 228*f**2/7 + 216*f/7 + 64.
4*(f - 56)*(f - 2)*(f + 1)/7
What is s in -2*s**4 + 2180*s**3 - 10794*s**2 - 60824*s + 69440 = 0?
-4, 1, 8, 1085
Factor 2*q**2 - 808*q + 4776.
2*(q - 398)*(q - 6)
Find k such that 6*k**2/11 - 6552*k/11 - 26304/11 = 0.
-4, 1096
Solve -3*z**2 - 5235006*z - 2283773985003 = 0.
-872501
Factor -4*i**3 - 7160*i**2 + 886652*i - 26566992.
-4*(i - 59)**2*(i + 1908)
Solve -3*f**3 - 361*f**2 + 3080*f = 0 for f.
-385/3, 0, 8
Find a, given that 2*a**4 - 29672*a**3 + 110083116*a**2 - 220077224*a + 110023778 = 0.
1, 7417
Solve -2*z**4/5 - 156*z**3 - 87912*z**2/5 - 590308*z + 1933410 = 0.
-223, -85, 3
Factor b**2/2 + 12387*b + 153437769/2.
(b + 12387)**2/2
Suppose -2*l**4/3 + 196*l**3/9 - 992*l**2/9 - 6464*l/3 + 17920 = 0. Calculate l.
-10, 12, 56/3
Determine o so that -2*o**2/7 + 18736*o/7 - 243230/7 = 0.
13, 9355
Solve 5*t**3 - 249150*t**2 - 249155*t = 0.
-1, 0, 49831
Suppose -3*n**2 - 53436*n - 106860 = 0. What is n?
-17810, -2
Factor -g**4 - 97*g**3 + 717*g**2 - 1139*g + 520.
-(g - 5)*(g - 1)**2*(g + 104)
Factor 2*r**2/11 - 354556*r/11 + 15713744642/11.
2*(r - 88639)**2/11
Determine i so that 6*i**4 + 447*i**3 + 1092*i**2 + 867*i + 216 = 0.
-72, -1, -1/2
Find p, given that -4*p**3 - 784*p**2 - 40660*p - 216600 = 0.
-95, -6
Let -27*w**5 - 474*w**4 - 2305*w**3 - 2726*w**2 - 748*w + 120 = 0. What is w?
-10, -6, -1, -2/3, 1/9
Solve v**3/4 + 29*v**2/4 - 3151*v/2 + 3120 = 0.
-96, 2, 65
Factor v**2/2 - 307*v + 4249/2.
(v - 607)*(v - 7)/2
Find s, given that -3*s**5 + 273*s**4 - 8250*s**3 + 92760*s**2 - 356832*s + 404352 = 0.
2, 4, 13, 36
Factor -3*v**4 + 78*v**3 - 669*v**2 + 1890*v.
-3*v*(v - 10)*(v - 9)*(v - 7)
Suppose 9*m**4/2 + 471*m**3/2 + 2523*m**2 + 2658*m - 2964 = 0. What is m?
-38, -13, -2, 2/3
Solve -y**5/2 + 31*y**4/2 + 33*y**3 + y**2 - 65*y/2 - 33/2 = 0.
-1, 1, 33
Factor -4*h**2 - 24364*h - 121720.
-4*(h + 5)*(h + 6086)
Factor -2*v**3 + 2737602*v**2 - 936806719998*v - 936809457602.
-2*(v - 684401)**2*(v + 1)
Find i such that -5*i**3 + 4065*i**2 - 8115*i + 4055 = 0.
1, 811
Factor -z**2/6 + 311*z/6 - 879.
-(z - 293)*(z - 18)/6
Suppose -5*s**4 - 4710*s**3 - 83160*s**2 = 0. What is s?
-924, -18, 0
Determine c so that 15*c**3 + 807*c**2 + 2286*c = 0.
-254/5, -3, 0
Suppose -2*b**3 - 28*b**2 + 1610*b + 8500 = 0. Calculate b.
-34, -5, 25
Determine d so that 3*d**5/5 - 69*d**4/5 + 432*d**3/5 - 756*d**2/5 = 0.
0, 3, 6, 14
Solve 3*y**2 + 1824*y - 3660 = 0.
-610, 2
Determine z so that -4*z**2 - 14632*z + 235136 = 0.
-3674, 16
Solve -5*t**3 - 3740*t**2 - 346135*t - 342400 = 0 for t.
-640, -107, -1
Factor 4*r**2 + 42956*r + 42952.
4*(r + 1)*(r + 10738)
Find z such that -46*z**3/11 + 3860*z**2/11 - 3482*z/11 - 332/11 = 0.
-2/23, 1, 83
Factor -4*q**2 - 1326236*q - 2652456.
-4*(q + 2)*(q + 331557)
Suppose g**4 + 130*g**3 - 263*g**2 + 132*g = 0. What is g?
-132, 0, 1
Factor 4*d**3 + 36*d**2 + 60*d - 100.
4*(d - 1)*(d + 5)**2
What is t in 313*t**2/3 - 3964*t - 76/3 = 0?
-2/313, 38
Solve -3*i**4/2 + 471*i**3 - 22602*i**2 + 84804*i - 82944 = 0 for i.
2, 54, 256
Factor 4*n**2 + 27496*n - 27500.
4*(n - 1)*(n + 6875)
Find i, given that 4*i**5/3 + 260*i**4/3 - 2968*i**3/3 + 2440*i**2/3 + 988*i - 900 = 0.
-75, -1, 1, 9
Solve -50*u**5/17 + 740*u**4/17 - 2106*u**3/17 - 104*u**2/17 + 2984*u/17 + 1056/17 = 0.
-4/5, -2/5, 2, 3, 11
Solve 3*o**5/2 + 201*o**4/2 + 1353*o**3/2 - 3741*o**2/2 - 678*o + 1770 = 0.
-59, -10, -1, 1, 2
Factor 121*h**3 + 2222*h**2 + 268*h - 107736.
(h - 6)*(11*h + 134)**2
Solve 25*h**5 + 17865*h**4 - 187984*h**3 + 373812*h**2 - 208800*h = 0 for h.
-725, 0, 6/5, 8
Determine t so that -2*t**2 - 21406*t - 42804 = 0.
-10701, -2
Suppose -9*g**5 - 579*g**4 - 5529*g**3 - 6549*g**2 - 1590*g = 0. What is g?
-53, -10, -1, -1/3, 0
Find m, given that -4*m**4 - 168*m**3 - 404*m**2 + 26448*m - 102672 = 0.
-31, -23, 6
Find o such that o**4/6 + 34*o**3 + 2521*o**2/3 - 95858*o + 1235535/2 = 0.
-123, 7, 35
Find l, given that -2*l**3/9 - 4276*l**2/9 - 2294050*l/9 - 9107912/9 = 0.
-1067, -4
Suppose m**2/5 + 30*m = 0. Calculate m.
-150, 0
Let 6*i**5 - 3578*i**4/3 - 34006*i**3/3 - 35994*i**2 - 41148*i - 7488 = 0. Calculate i.
-3, -2/9, 208
Find c such that -c**4 + 313*c**3 + 2232*c**2 + 2576*c - 5120 = 0.
-4, 1, 320
Factor w**2/8 + 32*w + 3159/8.
(w + 13)*(w + 243)/8
Find b, given that 2*b**5 + 5352*b**4 + 3531796*b**3 - 65421096*b**2 - 68947542*b = 0.
-1347, -1, 0, 19
Determine y so that -5*y**4 - 195*y**3 - 655*y**2 + 1755*y + 6300 = 0.
-35, -4, -3, 3
Let 2*b**3/5 - 1268*b**2/5 + 6298*b/5 - 5032/5 = 0. Calculate b.
1, 4, 629
Determine f so that f**3 - 7843*f**2 = 0.
0, 7843
Let 3*a**5/2 + 165*a**4/