 544*t**3 + 368*t**2 = 0?
-46, 0, 1, 2
Factor -k**5 + 71*k**4 + 1925*k**3 + 11253*k**2.
-k**2*(k - 93)*(k + 11)**2
Let -x**4 + 92*x**3 - 2373*x**2 + 11782*x - 14792 = 0. What is x?
2, 4, 43
Suppose 4*f**4 - 116*f**3 - 3160*f**2 - 10528*f = 0. What is f?
-14, -4, 0, 47
Factor -4*b**3 - 13668*b**2 - 203984*b + 462672.
-4*(b - 2)*(b + 17)*(b + 3402)
Let 2*q**3 - 82262*q**2 - 82264*q = 0. What is q?
-1, 0, 41132
Let -18*j**3/5 + 16788*j**2/5 - 744640*j - 90227456/5 = 0. Calculate j.
-22, 1432/3
Find p such that p**3/3 - 81991*p**2/3 + 560224005*p - 560196675 = 0.
1, 40995
Factor -m**3/5 - 427*m**2/5 - 8659*m - 42869/5.
-(m + 1)*(m + 163)*(m + 263)/5
Factor 5*y**2 + 162110*y - 486375.
5*(y - 3)*(y + 32425)
Let -5*m**4 - 6900*m**3 + 34625*m**2 = 0. What is m?
-1385, 0, 5
Let -3*d**2/4 + 103704*d - 414813/4 = 0. Calculate d.
1, 138271
Factor -p**2/4 + 694*p + 2780.
-(p - 2780)*(p + 4)/4
What is n in n**2/3 - 8620*n/3 - 8621/3 = 0?
-1, 8621
Suppose -4*l**4 - 36*l**3 - 56*l**2 = 0. Calculate l.
-7, -2, 0
Suppose -2*h**5/3 - 154*h**4/3 - 4574*h**3/3 - 64334*h**2/3 - 412984*h/3 - 877952/3 = 0. What is h?
-19, -16, -4
Factor 2*y**3/7 + 1010138*y**2/7 + 127547852448*y/7 + 127546842312/7.
2*(y + 1)*(y + 252534)**2/7
Solve w**4/4 + 44339*w**3/4 = 0 for w.
-44339, 0
Suppose -63*m**4 - 170*m**3 - 388*m**2/3 - 2*m/3 + 65/3 = 0. Calculate m.
-65/63, -1, 1/3
Factor 5*k**2 - 585260*k + 585255.
5*(k - 117051)*(k - 1)
Solve 2*l**2/9 - 3430*l/9 + 6788 = 0 for l.
18, 1697
Let -2*n**3 - 652*n**2 + 8*n + 2608 = 0. What is n?
-326, -2, 2
Find m, given that 20*m**3/9 - 542*m**2 + 99064*m/3 + 29768/9 = 0.
-1/10, 122
Factor 13*r**2/5 + 53*r/5 - 66/5.
(r - 1)*(13*r + 66)/5
What is l in -4*l**4 + 764*l**3 + 108*l**2 - 20844*l + 41256 = 0?
-6, 3, 191
Factor -2*x**2 + 173158*x + 1385392.
-2*(x - 86587)*(x + 8)
Solve 2*r**3 - 205252*r**2 = 0 for r.
0, 102626
Determine r so that -4*r**2 + 10112*r + 10116 = 0.
-1, 2529
Let -3*v**3 - 414*v**2 - 3768*v + 9216 = 0. What is v?
-128, -12, 2
Find k, given that -4*k**3 - 341676*k**2 - 1366656*k - 1366640 = 0.
-85415, -2
Determine t, given that t**2/4 - 205*t + 819/4 = 0.
1, 819
Solve 2*g**4/9 + 448*g**3/9 + 7946*g**2/3 - 3000*g - 16200 = 0 for g.
-135, -90, -2, 3
Factor 3*i**3 - 1323*i**2 - 2655*i - 1329.
3*(i - 443)*(i + 1)**2
Factor 3*g**4/5 - 4113*g**3/5 + 1862901*g**2/5 - 54192855*g - 3526998516/5.
3*(g - 461)**3*(g + 12)/5
Let -5*t**5 + 240*t**4 - 2735*t**3 - 3960*t**2 + 11020*t + 12000 = 0. What is t?
-2, -1, 2, 24, 25
Find r, given that 5*r**4 + 770*r**3 + 22800*r**2 - 531250*r + 1986875 = 0.
-85, 5, 11
What is r in -3*r**3/7 - 18*r**2/7 + 1101*r/7 - 4680/7 = 0?
-24, 5, 13
Factor 20*m**4 - 296*m**3 + 176*m**2 + 672*m.
4*m*(m - 14)*(m - 2)*(5*m + 6)
Let h**3 - 14096*h**2 + 56363*h + 70460 = 0. What is h?
-1, 5, 14092
Factor -4*k**3 + 7096*k**2 - 3230500*k + 73500000.
-4*(k - 875)**2*(k - 24)
Solve -3*u**4 + 108*u**3 + 1497*u**2 + 2538*u = 0 for u.
-9, -2, 0, 47
Factor 2*v**5/15 + 128*v**4/3 + 2760*v**3.
2*v**3*(v + 90)*(v + 230)/15
Factor -3*u**2 + 6795486*u - 3848219164683.
-3*(u - 1132581)**2
Determine d, given that d**2/3 - 199*d + 2340 = 0.
12, 585
Determine m, given that 2*m**3 + 182*m**2 + 180*m = 0.
-90, -1, 0
Determine s, given that -3*s**4/4 + 4001*s**3/4 - 10647*s**2/4 - 1341*s/4 + 6655/2 = 0.
-1, 5/3, 2, 1331
Let -p**2/6 + 4*p/3 + 555/2 = 0. What is p?
-37, 45
Factor -909*m**2/5 + 14541*m/5 + 48/5.
-3*(m - 16)*(303*m + 1)/5
Determine m so that m**4/3 - 50*m**3/3 - 1287*m**2 + 11918*m/3 - 8008/3 = 0.
-44, 1, 2, 91
Solve y**5 + 157*y**4 - 1158*y**3 - 1624*y**2 + 2624*y = 0.
-164, -2, 0, 1, 8
Find a such that -3*a**5/5 + 28179*a**4/5 - 88200252*a**3/5 + 91904493456*a**2/5 + 276508043712*a/5 = 0.
-3, 0, 3132
Let -1369*v**4/6 + 291412*v**3/3 - 32400968*v**2/3 + 98292480*v - 233625600 = 0. Calculate v.
180/37, 208
Factor 5*i**3 + 65*i**2 - 2565*i + 6975.
5*(i - 15)*(i - 3)*(i + 31)
Solve -h**5/9 - 3769*h**4/9 + 21473*h**3/3 + 215861*h**2/9 + 223394*h/9 + 25240/3 = 0.
-3786, -1, 20
Suppose -n**4/2 + 5*n**3/2 + 49*n**2 - 24*n - 720 = 0. What is n?
-6, -5, 4, 12
Let 2*l**2/5 + 68*l/5 + 66/5 = 0. What is l?
-33, -1
Factor -2*x**3 + 606*x**2 - 1804*x + 1200.
-2*(x - 300)*(x - 2)*(x - 1)
Factor 4*t**2/5 - 3392*t/5 - 4788.
4*(t - 855)*(t + 7)/5
Factor -3*w**3 - 2112*w**2 - 14613*w + 16728.
-3*(w - 1)*(w + 8)*(w + 697)
Suppose -2*x**3/7 - 8676*x**2/7 - 9435096*x/7 - 56298672/7 = 0. What is x?
-2166, -6
Factor -s**2/8 - 173*s/8 - 483/2.
-(s + 12)*(s + 161)/8
Factor -2*q**2/7 - 4440*q/7 + 3816.
-2*(q - 6)*(q + 2226)/7
Determine a so that -3*a**3 + 26091*a**2 - 56741400*a + 56715312 = 0.
1, 4348
Factor a**4/8 + 1425*a**3/8 + 1775*a**2/2.
a**2*(a + 5)*(a + 1420)/8
Factor -2*i**2/3 + 484*i/3 + 3872.
-2*(i - 264)*(i + 22)/3
Solve -5*y**2 - 14935*y + 2567250 = 0.
-3150, 163
Factor -3*w**2 - 2967*w + 133128.
-3*(w - 43)*(w + 1032)
Solve -b**3 + 38281*b**2 - 76559*b + 38279 = 0 for b.
1, 38279
Factor -6*w**3/19 - 15718*w**2/19 - 10307066*w/19 - 17134810/19.
-2*(w + 1309)**2*(3*w + 5)/19
Find u such that 2*u**3/15 - 160*u**2/3 + 82346*u/15 - 155236/5 = 0.
6, 197
Factor -6683168*r**3 - 20056816*r**2/3 - 21938*r/9 - 2/9.
-2*(r + 1)*(5484*r + 1)**2/9
Suppose -2*k**4/11 + 2152*k**3/11 - 771132*k**2/11 + 91763272*k/11 + 92536558/11 = 0. What is k?
-1, 359
Factor -2*x**3 - 1806*x**2 - 3598*x + 5406.
-2*(x - 1)*(x + 3)*(x + 901)
Let 2*z**4/5 + 53244*z**3/5 - 479304*z**2/5 + 287604*z - 1438074/5 = 0. What is z?
-26631, 3
Find k, given that 2*k**5/5 + 606*k**4/5 + 1204*k**3/5 - 4*k**2/5 - 1206*k/5 - 602/5 = 0.
-301, -1, 1
Let -145*p**2/2 - 581*p - 8 = 0. Calculate p.
-8, -2/145
Suppose 2*d**3/11 + 1600*d**2/11 + 7938*d/11 - 9540/11 = 0. What is d?
-795, -6, 1
Find i such that 3*i**4 - 2439*i**3 + 2430*i**2 + 4872*i = 0.
-1, 0, 2, 812
What is o in 5*o**4 - 505*o**3 - 1035*o**2 + 505*o + 1030 = 0?
-2, -1, 1, 103
Let 32*u**5 + 312*u**4 + 604*u**3 - 732*u**2 - 216*u = 0. Calculate u.
-6, -9/2, -1/4, 0, 1
Solve 3*b**5 - 63*b**4 - 579*b**3 + 2403*b**2 + 2916*b = 0.
-9, -1, 0, 4, 27
Suppose 4*g**4 + 41580*g**3 - 249588*g**2 + 374436*g = 0. Calculate g.
-10401, 0, 3
Let -162*l**3 + 32146*l**2/5 + 10188*l/5 - 224 = 0. Calculate l.
-2/5, 7/81, 40
Factor 4*i**3 - 3252*i**2 + 100092*i - 96844.
4*(i - 781)*(i - 31)*(i - 1)
Factor 3*i**2/5 + 12348*i/5.
3*i*(i + 4116)/5
Factor 5*a**4 - 1420*a**3 + 103620*a**2 - 397600*a + 392000.
5*(a - 140)**2*(a - 2)**2
Factor -2*l**3/3 + 42*l**2 - 2392*l/3 + 4032.
-2*(l - 28)*(l - 27)*(l - 8)/3
What is f in -4*f**4 + 2160*f**3 - 59028*f**2 - 126728*f = 0?
-2, 0, 31, 511
Determine x so that 2*x**3 - 842*x**2 - 168130*x - 167286 = 0.
-147, -1, 569
Solve 5*v**5 - 220*v**4 + 1230*v**3 + 2620*v**2 - 8075*v + 4440 = 0.
-3, 1, 8, 37
Find l, given that 2*l**3/15 - 308342*l**2/15 + 2376962224*l/3 - 11883886112/5 = 0.
3, 77084
Factor -4197*f**2/5 - f.
-f*(4197*f + 5)/5
Solve -15*s**2/4 + 9981*s/4 + 79677/2 = 0.
-78/5, 681
Determine u, given that u**2/6 + 10159*u/6 + 10157/3 = 0.
-10157, -2
Factor -h**2/7 - 403*h - 2820/7.
-(h + 1)*(h + 2820)/7
Suppose 4*r**2 + 11616*r - 11620 = 0. What is r?
-2905, 1
What is z in 2*z**4/7 + 138*z**3/7 + 1306*z**2/7 + 1686*z/7 - 3132/7 = 0?
-58, -9, -3, 1
Let -b**4/2 + 10221*b**3 + 40890*b**2 + 40892*b = 0. Calculate b.
-2, 0, 20446
Determine k so that -10*k**5 - 238*k**4 - 384*k**3 + 280*k**2 + 352*k = 0.
-22, -2, -4/5, 0, 1
Solve -20*p**5 - 1232*p**4 + 61396*p**3 - 195360*p**2 + 68400*p = 0.
-95, 0, 2/5, 3, 30
Let 4*x**4/3 + 1384*x**3/3 + 15716*x**2/3 - 105136*x/3 + 45424 = 0. What is x?
-334, -17, 2, 3
Determine o, given that -5*o**5 + 1040*o**4 - 55100*o**3 + 105050*o**2 + 55105*o - 106090 = 0.
-1, 1, 2, 103
Factor m**3/7 - 107*m**2 + 746*m/7 + 1496/7.
(m - 748)*(m - 2)*(m + 1)/7
Determine r, given that 3*r**5 - 222*r**4 - 1224*r**3 + 22464*r**2 = 0.
-12, 0, 8, 78
Determine i, given that 2*i**3/5 + 412*i**2 + 4114*i/5 + 2056/5 = 0.
-1028, -1
Find o, given that -2*o**3 + 520*o**2 - 2048*o = 0.
0, 4, 256
Let -k**3/5 + 24*k**2/5 - 31*k + 60 = 0. What is k?
4, 5, 15
Solve 10*x**5/7 + 2*x**4 - 186*x**3/7 - 566*x**2/7 - 496*x/7 - 120/7 = 0 for x.
-3, -2, -1, -2/5, 5
Factor 2*j**2/13 + 5130*j/13 + 502452/13.
2*(j + 102)*(j + 2463)/13
Let 24*k**4 - 99*k**3 - 444*k**2 - 279*k + 42 = 0. What is k?
-2, -1, 1/8,