e 2*k**2 - 198124*k + 4906639922 = 0. Calculate k.
49531
Suppose 2*z**3/15 + 106*z**2/15 - 2848*z/15 + 1752/5 = 0. What is z?
-73, 2, 18
Find p, given that -2*p**3/11 + 338*p**2/11 + 1376*p/11 + 1384/11 = 0.
-2, 173
Let -4*d**4 - 732*d**3 + 10016*d**2 - 34368*d + 25088 = 0. What is d?
-196, 1, 4, 8
Suppose 2*c**2/17 + 77804*c/17 + 756682802/17 = 0. What is c?
-19451
Find u, given that u**5 - 953*u**4/5 - 2121*u**3/5 + 37357*u**2/5 + 8104*u - 77040 = 0.
-5, 4, 963/5
Solve -147*l**4 - 1023*l**3 + 2541*l**2 - 1425*l + 54 = 0 for l.
-9, 2/49, 1
Factor 2*h**4 + 2032*h**3 - 4072*h**2.
2*h**2*(h - 2)*(h + 1018)
What is z in 2*z**3/3 - 972*z**2 + 23040*z - 137664 = 0?
12, 1434
Let z**5/7 + 670*z**4/7 + 1333*z**3/7 - 2004*z**2/7 = 0. What is z?
-668, -3, 0, 1
Suppose 3*t**4/2 + 30609*t**3/2 - 15312*t**2 - 61218*t + 61224 = 0. Calculate t.
-10204, -2, 1, 2
Let 14*d**3 + 3078*d**2 - 6704*d - 9768 = 0. What is d?
-222, -1, 22/7
Determine a, given that -5*a**5 - 380*a**4 - 6010*a**3 - 23500*a**2 - 30465*a - 12600 = 0.
-56, -15, -3, -1
Factor 3*b**2/2 + 773382*b + 99686619654.
3*(b + 257794)**2/2
Factor 2*a**4 - 398*a**3 + 1538*a**2 + 4278*a + 2340.
2*(a - 195)*(a - 6)*(a + 1)**2
Suppose -9*c**4/2 - 1149*c**3/2 + 46757*c**2/2 + 31553*c/2 + 2640 = 0. What is c?
-160, -1/3, 33
Determine y, given that y**2/9 + 42370*y/9 + 211825/9 = 0.
-42365, -5
Find a such that -2*a**2/7 + 10944*a/7 = 0.
0, 5472
Find a such that 3*a**5 - 51*a**4 - 1449*a**3 - 4617*a**2 + 4698*a + 21384 = 0.
-12, -3, 2, 33
Suppose -3*n**3/2 - 729*n**2 - 7233*n/2 - 4329 = 0. What is n?
-481, -3, -2
Factor -4*o**2 - 54520*o + 163596.
-4*(o - 3)*(o + 13633)
Factor 2*v**3 + 2104*v**2 + 551242*v - 1110916.
2*(v - 2)*(v + 527)**2
Determine n, given that 3*n**3/7 - 31359*n**2/7 + 2432313*n/7 - 47341125/7 = 0.
39, 10375
Factor 81*w**4 + 1287*w**3 + 5686*w**2 - 348*w - 33640.
(w - 2)*(w + 5)*(9*w + 58)**2
Factor -3*v**3/4 + 939*v**2/4 - 90573*v/4 + 2494149/4.
-3*(v - 133)**2*(v - 47)/4
Let 5*q**5 - 140*q**4 + 895*q**3 + 140*q**2 - 900*q = 0. What is q?
-1, 0, 1, 10, 18
Factor 5*d**2/6 - 5905*d/3 + 554680/3.
5*(d - 2264)*(d - 98)/6
Let -4*c**3 + 1268*c**2 - 9888*c = 0. What is c?
0, 8, 309
Find b, given that b**5 + 25*b**4 - 83*b**3 + 31*b**2 + 82*b - 56 = 0.
-28, -1, 1, 2
Factor -2*b**2 - 57*b/4 + 14.
-(b + 8)*(8*b - 7)/4
Factor -j**2/4 + 57*j/4 + 2079/2.
-(j - 99)*(j + 42)/4
What is p in -2*p**5/7 + 228*p**4/7 - 6602*p**3/7 + 5472*p**2/7 + 26440*p/7 - 3648 = 0?
-2, 1, 2, 56, 57
Factor -4*n**2/3 + 20*n/3 + 370856/3.
-4*(n - 307)*(n + 302)/3
Find c, given that c**2/5 - 352094*c/5 - 70419 = 0.
-1, 352095
Factor 5*x**4 + 530*x**3 - 4605*x**2 - 5130*x.
5*x*(x - 9)*(x + 1)*(x + 114)
Solve -j**3/5 + 38617*j**2/5 + 115864*j/5 - 30896 = 0.
-4, 1, 38620
Factor -o**4 - 41*o**3 + 8336*o**2 - 154704*o - 2090880.
-(o - 44)**2*(o + 9)*(o + 120)
Determine c so that -c**5 - 4463*c**4 - 13382*c**3 - 8920*c**2 = 0.
-4460, -2, -1, 0
Find z, given that z**3 - 96*z**2 - 325*z + 2772 = 0.
-7, 4, 99
What is l in -3*l**5/2 - 12*l**4 - 9*l**3/2 + 48*l**2 + 42*l = 0?
-7, -2, -1, 0, 2
What is m in -m**4/5 + 1616*m**3/5 + 3237*m**2/5 - 1616*m/5 - 3236/5 = 0?
-2, -1, 1, 1618
Suppose -j**3/7 + 352*j**2/7 - 2047*j/7 - 126960/7 = 0. Calculate j.
-16, 23, 345
Suppose -5*l**3 - 75*l**2 + 185*l + 255 = 0. Calculate l.
-17, -1, 3
Suppose -l**5/10 - 29*l**4 - 4993*l**3/10 - 13264*l**2/5 - 19616*l/5 - 8704/5 = 0. Calculate l.
-272, -8, -1
Factor 4*k**3/3 + 3368*k**2/3 - 56192*k + 683520.
4*(k - 24)**2*(k + 890)/3
Solve -5*n**2 - 235100*n + 1645945 = 0 for n.
-47027, 7
Suppose 2*u**5/9 + 100*u**4/9 - 4966*u**3/9 + 19936*u**2/3 - 26264*u + 32928 = 0. What is u?
-84, 3, 14
Suppose -33*s**4 + 159*s**3 + 2286*s**2 + 6264*s + 5184 = 0. What is s?
-3, -24/11, -2, 12
Let 2*l**4 - 2384*l**3 - 9560*l**2 - 9568*l = 0. Calculate l.
-2, 0, 1196
Factor 2*n**3/13 + 574*n**2/13 - 19904*n/13 + 163328/13.
2*(n - 16)**2*(n + 319)/13
Determine o so that 98*o**3/13 + 342300*o**2/13 + 293346*o/13 + 62856/13 = 0.
-3492, -3/7
Solve -2104*q**2 - 60*q = 0 for q.
-15/526, 0
What is m in m**3 - 32*m**2 - 16*m + 512 = 0?
-4, 4, 32
Find m, given that 5*m**4 - 3280*m**3 - 6580*m**2 = 0.
-2, 0, 658
Factor -m**3/3 - 197*m**2/3 + 88*m + 389136.
-(m - 67)*(m + 132)**2/3
Suppose u**2 + 419786*u = 0. What is u?
-419786, 0
Factor -4*g**4/7 - 7864*g**3 - 252155472*g**2/7 - 382757305696*g/7 + 7756449326720/7.
-4*(g - 20)*(g + 4594)**3/7
Suppose 3*k**2/5 + 1938*k = 0. What is k?
-3230, 0
Solve 8*o**4 + 1412*o**3/3 + 1680*o**2 - 372*o - 880/3 = 0 for o.
-55, -4, -1/3, 1/2
Factor 2*k**4/11 - 20896*k**3/11 + 4959950*k**2 + 9927500*k.
2*k*(k - 5225)**2*(k + 2)/11
Factor -14*r**2/3 - 9524*r/3 - 2720/3.
-2*(r + 680)*(7*r + 2)/3
Factor l**3 - 108*l - 432.
(l - 12)*(l + 6)**2
Solve 10*g**4 + 274*g**3 - 462*g**2 + 62*g + 116 = 0.
-29, -2/5, 1
Let -2*u**2/13 - 124810*u/13 - 249612/13 = 0. Calculate u.
-62403, -2
Let -5*s**4 - 9624925*s**3 - 6175942208730*s**2 - 1320951692544813980*s + 1320957868496647640 = 0. Calculate s.
-641662, 1
Solve t**3/4 - 365*t**2 + 35875*t/4 = 0.
0, 25, 1435
Let 5*x**2 + 82465*x - 82470 = 0. Calculate x.
-16494, 1
Suppose 245*n**5/6 + 8570*n**4/3 - 9100*n**3 - 7475*n**2/3 + 54355*n/6 - 365 = 0. Calculate n.
-73, -1, 2/49, 1, 3
Factor c**2/2 - 18701*c/2 - 102916.
(c - 18712)*(c + 11)/2
Solve o**5 + 2*o**4 - 452*o**3 + 842*o**2 + 3043*o + 1748 = 0.
-23, -1, 4, 19
Find v, given that v**2/2 - 643*v/2 + 32571 = 0.
126, 517
Factor -3*v**2 + 41604*v + 83220.
-3*(v - 13870)*(v + 2)
Determine o so that 4*o**3/5 + 27*o**2 - 8068*o/5 + 22881/5 = 0.
-263/4, 3, 29
Solve z**4/5 + 19*z**3/5 - 64*z**2/5 - 1396*z/5 + 288 = 0 for z.
-18, -10, 1, 8
Factor 2*p**2/9 - 27200*p/9 + 36256/3.
2*(p - 13596)*(p - 4)/9
Factor -5*i**2 - 385*i - 3630.
-5*(i + 11)*(i + 66)
Determine o, given that -o**4 + 7669*o**3 - 7667*o**2 - 7669*o + 7668 = 0.
-1, 1, 7668
Determine s so that 4*s**4 - 13980*s**3 + 12942148*s**2 - 1252582980*s + 2453509144 = 0.
2, 107, 1693
Suppose -h**2 - 552*h + 1108 = 0. Calculate h.
-554, 2
Factor -2*b**2 - 1224*b + 232256.
-2*(b - 152)*(b + 764)
Determine t, given that 2*t**3 - 898*t**2 + 39648*t - 461952 = 0.
24, 401
Suppose f**3 + 457*f**2 - 2785*f - 3241 = 0. What is f?
-463, -1, 7
Find k, given that -3*k**5/5 - 1188*k**4/5 + 2178*k**3 - 18204*k**2/5 + 1701*k = 0.
-405, 0, 1, 7
Suppose -4*k**2/7 + 300280*k/7 = 0. Calculate k.
0, 75070
Find j such that -6*j**5 + 5036*j**4 - 1049964*j**3 - 2844264*j**2 + 1762306*j + 2126892 = 0.
-3, -2/3, 1, 421
Determine i, given that 2*i**4 + 3128*i**3 - 15676*i**2 + 21960*i - 9414 = 0.
-1569, 1, 3
Solve 2*d**2/5 + 194*d/5 - 3616/5 = 0.
-113, 16
Solve d**2/7 - 5651*d/7 - 62282/7 = 0 for d.
-11, 5662
Find b, given that -30*b**5 - 565*b**4 + 90*b**3 + 1755*b**2 + 1130*b = 0.
-113/6, -1, 0, 2
Suppose -3*g**2 + 789950*g + 263317 = 0. What is g?
-1/3, 263317
What is h in 9*h**4 - 249*h**3 - 3978*h**2 + 17124*h - 9576 = 0?
-14, 2/3, 3, 38
Let a**4/4 - 6*a**3 + 3*a**2/4 + 448*a + 441 = 0. Calculate a.
-7, -1, 14, 18
Determine w so that -w**3/6 + 2107*w**2/6 + 127708*w/3 + 42218 = 0.
-114, -1, 2222
Let 2*q**2/13 + 12*q/13 - 144/13 = 0. Calculate q.
-12, 6
Solve 2*l**5 + 92*l**4 - 308*l**3 - 46400*l**2 - 260958*l - 380556 = 0 for l.
-31, -3, 22
Determine r, given that -9*r**3/8 - 21*r**2/8 - 3*r/2 = 0.
-4/3, -1, 0
Factor -5*i**3 - 2435*i**2 - 84695*i + 276135.
-5*(i - 3)*(i + 41)*(i + 449)
Factor 4*z**2 - 31376*z - 31380.
4*(z - 7845)*(z + 1)
Factor -5*d**2 + 1715*d + 23140.
-5*(d - 356)*(d + 13)
What is t in 9*t**5/2 - 10479*t**4/4 - 2187*t**3 + 1749*t**2/4 = 0?
-1, 0, 1/6, 583
Determine n, given that -4*n**4 - 27904*n**3 - 48692456*n**2 - 97189664*n + 145910028 = 0.
-3487, -3, 1
Suppose 5*h**5 - 700*h**4 + 3395*h**3 - 2700*h**2 = 0. What is h?
0, 1, 4, 135
Let -2*t**2/7 + 522*t/7 - 5500/7 = 0. What is t?
11, 250
Find i, given that -10*i**5 + 3404*i**4 + 33360*i**3 + 83872*i**2 + 44896*i - 33600 = 0.
-6, -2, 2/5, 350
Factor 3*z**2 + 147*z - 7110.
3*(z - 30)*(z + 79)
Factor 6*a**2/5 - 12564*a + 62814/5.
6*(a - 10469)*(a - 1)/5
Determine i so that -3*i**2 - 4011*i + 56742 = 0.
-1351, 14
What is x in -3*x**2/2 + 333*x/2 - 4161 = 0?
38, 73
Suppose -4*a**2 + 10700*a - 21384 = 0. What is a?
2, 2673
Suppose 5*k**2 - 4410*k - 49115 = 0. What is