6*d**3 - 43808*d**2 = 0. What is d?
-148, -2, 0
Let 5*y**3 + 685*y**2 + 23575*y + 240695 = 0. What is y?
-91, -23
Solve 2*y**2/3 + 4432*y/3 + 90426 = 0 for y.
-2153, -63
Factor f**3 - 49*f**2 + 335*f - 287.
(f - 41)*(f - 7)*(f - 1)
What is h in 301547682*h**2/5 - 98232*h/5 + 8/5 = 0?
2/12279
Find m, given that 1684*m**4 - 23588*m**3 + 101208*m**2 - 121968*m + 864 = 0.
3/421, 2, 6
Suppose -5*n**4 - 285*n**3 + 5*n**2 + 285*n = 0. Calculate n.
-57, -1, 0, 1
Factor 2*v**3 - 286*v**2 - 50*v + 7150.
2*(v - 143)*(v - 5)*(v + 5)
Determine y so that -y**5/4 + 13*y**4/2 - 203*y**3/4 + 305*y**2/2 - 150*y = 0.
0, 2, 4, 5, 15
Factor 48*q**3 - 2252*q**2 - 2492*q - 192.
4*(q - 48)*(q + 1)*(12*q + 1)
Factor -3*u**3 - 1743*u**2 - 250536*u + 767376.
-3*(u - 3)*(u + 292)**2
Determine m, given that 182*m**4/15 - 606*m**3/5 - 202*m**2/15 + 606*m/5 + 4/3 = 0.
-1, -1/91, 1, 10
Factor 2*r**3 + 86*r**2 + 708*r + 1584.
2*(r + 4)*(r + 6)*(r + 33)
Factor 4*t**3 + 22600*t**2 + 31990192*t + 191128416.
4*(t + 6)*(t + 2822)**2
Find m, given that m**2 + 138*m + 3920 = 0.
-98, -40
Factor -5*g**2/4 + 6775*g/2 + 732195/4.
-5*(g - 2763)*(g + 53)/4
Determine y, given that 3*y**4/5 + 2007*y**3/5 - 402*y**2 = 0.
-670, 0, 1
Solve -s**3 + 151063*s**2 - 5704931960*s - 5705083024 = 0 for s.
-1, 75532
Suppose 10*c**4 + 19035*c**3 + 703170*c**2 + 6379915*c - 3368130 = 0. What is c?
-1866, -19, 1/2
Factor -3*j**3/4 + 1473*j**2/4 + 15003*j/4 + 13527/4.
-3*(j - 501)*(j + 1)*(j + 9)/4
Factor -v**3/5 - 13*v**2/5 + 1014*v/5.
-v*(v - 26)*(v + 39)/5
Suppose 2*w**5/3 - 218*w**4/3 - 458*w**3/3 + 1562*w**2/3 - 296*w = 0. Calculate w.
-4, 0, 1, 111
Factor -2*y**2/3 - 1586*y + 4764.
-2*(y - 3)*(y + 2382)/3
Factor y**2/4 + 525*y + 24624.
(y + 48)*(y + 2052)/4
Solve 6*p**2 - 203086*p - 67696 = 0.
-1/3, 33848
Determine z so that 4*z**2/7 - 1916*z/7 + 29632/7 = 0.
16, 463
Factor -4*d**5 - 288*d**4 + 1504*d**3 - 2744*d**2 + 2148*d - 616.
-4*(d - 2)*(d - 1)**3*(d + 77)
Factor 4*z**3 - 2336*z**2 + 126720*z + 70502400.
4*(z - 360)**2*(z + 136)
Find u, given that 2*u**3/7 - 217298*u**2/7 - 651908*u/7 - 434608/7 = 0.
-2, -1, 108652
Factor -3*x**3/2 - 81*x**2/2 - 351*x - 972.
-3*(x + 6)*(x + 9)*(x + 12)/2
Determine z, given that 25*z**2/7 - 163277*z/7 + 1866 = 0.
2/25, 6531
Determine z so that 3*z**4 - 165*z**2 + 630*z - 648 = 0.
-9, 2, 3, 4
Solve -g**4/3 + 127*g**3/3 - 226*g**2/3 - 1000*g = 0.
-4, 0, 6, 125
Factor -a**3 - 284*a**2 + 2207*a + 49470.
-(a - 17)*(a + 10)*(a + 291)
Factor 5*t**3 + 85125*t**2 + 85120*t.
5*t*(t + 1)*(t + 17024)
Factor -289*q**3/4 - 152422*q**2 + 215211*q/4 - 9495/2.
-(q + 2110)*(17*q - 3)**2/4
Suppose n**5 + 209*n**4 + 3102*n**3 + 2686*n**2 - 3103*n - 2895 = 0. What is n?
-193, -15, -1, 1
Suppose -141*a**2 - 168207*a + 7158 = 0. Calculate a.
-1193, 2/47
What is b in -2*b**3/13 + 2050*b**2/13 - 154400*b/13 + 3024000/13 = 0?
40, 945
Factor -3*t**4/5 + 1119177*t**3/5 - 1119174*t**2/5.
-3*t**2*(t - 373058)*(t - 1)/5
Let -4*t**3/3 - 29924*t**2/3 = 0. Calculate t.
-7481, 0
Factor j**3 + 6412*j**2 - 6413*j.
j*(j - 1)*(j + 6413)
Factor -r**2 + 24*r + 3456.
-(r - 72)*(r + 48)
Factor -28*u**3 + 374*u**2 - 1022*u - 1424.
-2*(u - 8)*(u + 1)*(14*u - 89)
What is a in -4*a**4 - 7912*a**3 + 47568*a**2 - 95200*a + 63488 = 0?
-1984, 2
Factor 2*q**2 + 456*q + 12214.
2*(q + 31)*(q + 197)
Factor 10*l**2 + 26027*l - 7809.
(l + 2603)*(10*l - 3)
Suppose 4*o**3 + 751*o**2/2 + 9154*o + 15870 = 0. Calculate o.
-46, -15/8
Find z such that 4*z**4 + 8*z**3 - 172*z**2 + 160*z = 0.
-8, 0, 1, 5
Factor -79*c**3 - 8375*c**2 - 222017*c - 2809.
-(c + 53)**2*(79*c + 1)
Factor -2*h**4/13 + 14212*h**3/13 - 25261826*h**2/13 + 50481024*h/13 - 25233408/13.
-2*(h - 3552)**2*(h - 1)**2/13
Solve -12*n**4 - 1425*n**3 - 55803*n**2 - 716904*n + 182736 = 0 for n.
-47, -36, 1/4
Factor -5*l**4 + 342890*l**3 - 7838008200*l**2 + 59715170892000*l + 119461696560000.
-5*(l - 22860)**3*(l + 2)
What is a in 2*a**3 + 140*a**2 + 704*a - 69696 = 0?
-44, 18
Factor 4*n**4 + 67884*n**3 + 287980896*n**2 - 288048784*n.
4*n*(n - 1)*(n + 8486)**2
Factor -4*l**3/11 - 1578*l**2/11 + 790*l/11.
-2*l*(l + 395)*(2*l - 1)/11
Factor l**2/5 + 4468*l + 89344/5.
(l + 4)*(l + 22336)/5
Let 2*k**4/7 + 64*k**3 + 21594*k**2/7 - 58820*k - 129472 = 0. Calculate k.
-119, -2, 16
What is i in -3*i**2 + 69393*i + 1319550 = 0?
-19, 23150
Factor -3*k**3 - 297*k**2 + 24186*k - 91800.
-3*(k - 50)*(k - 4)*(k + 153)
Let -17*f**3/3 + 141*f**2 - 550*f - 200/3 = 0. What is f?
-2/17, 5, 20
Factor 4*a**3 + 332*a**2 - 15780*a + 15444.
4*(a - 33)*(a - 1)*(a + 117)
What is s in 27*s**3 + 229005*s**2 - 305376*s + 101796 = 0?
-8483, 2/3
Factor 5*v**3 + 80*v**2 - 1545*v - 1620.
5*(v - 12)*(v + 1)*(v + 27)
Determine y, given that -3*y**3 - 210*y**2 + 28572*y + 57960 = 0.
-138, -2, 70
Factor -3*p**4/4 - 351*p**3/2 - 3435*p**2/4.
-3*p**2*(p + 5)*(p + 229)/4
Determine c, given that c**4 - 33*c**3 - 8923*c**2 - 238095*c + 247050 = 0.
-45, 1, 122
Factor 2*y**3/9 - 518*y**2 + 13972*y/9 - 3104/3.
2*(y - 2328)*(y - 2)*(y - 1)/9
What is w in -w**3/3 - 49478*w**2/3 - 611869660*w/3 + 1224333128 = 0?
-24742, 6
Find i, given that 8*i**3 - 6*i**2/5 - 114*i/5 - 68/5 = 0.
-1, -17/20, 2
Factor -t**2/9 + 31522*t/9 - 248409121/9.
-(t - 15761)**2/9
Solve -i**2/7 + 960136*i/7 - 230465284624/7 = 0 for i.
480068
Factor 5*m**2 - 315*m + 2860.
5*(m - 52)*(m - 11)
Solve 2*w**2/3 - 21484*w + 128896/3 = 0 for w.
2, 32224
Determine q, given that -q**2/2 + 1568*q - 3135/2 = 0.
1, 3135
Solve -3*f**2 + 144981*f + 1015014 = 0 for f.
-7, 48334
Factor m**3/5 - 468*m**2 + 9348*m/5 - 9344/5.
(m - 2336)*(m - 2)**2/5
Find b, given that -2*b**5/9 + 3938*b**4/9 - 217780*b**3 + 21207140*b**2/9 - 59505578*b/9 + 13418174/3 = 0.
1, 3, 7, 979
Find x, given that 280*x**5 + 25554*x**4 - 19049*x**3 - 8907*x**2 + 1570*x + 552 = 0.
-92, -3/10, -1/4, 2/7, 1
Solve -5*g**4 + 915*g**3 + 4740*g**2 - 7460*g - 11280 = 0.
-6, -1, 2, 188
Let 3*a**5/5 + 4857*a**4/5 + 359778*a**3 - 137611428*a**2/5 + 267988392*a/5 = 0. Calculate a.
-842, 0, 2, 63
Determine w so that 2*w**3 + 132*w**2 - 782*w - 5112 = 0.
-71, -4, 9
What is q in 2*q**2/3 + 930956*q/3 + 108334884242/3 = 0?
-232739
Let d**2/3 + 494*d + 8784 = 0. Calculate d.
-1464, -18
Factor m**2 + 1405*m - 11304.
(m - 8)*(m + 1413)
Determine n so that 3*n**5 - 15*n**4 - 99*n**3 + 375*n**2 + 348*n - 1260 = 0.
-5, -2, 2, 3, 7
Find l, given that -300*l**3 + 263020*l**2 + 210464*l/3 + 14032/3 = 0.
-2/15, 877
Solve -590901*n**2 - 590931*n - 30 = 0 for n.
-1, -10/196967
Factor 3*u**5 + 39*u**4 - 618*u**3 - 4404*u**2 - 9192*u - 6240.
3*(u - 13)*(u + 2)**3*(u + 20)
Let -2*q**3/5 + 52*q**2/5 + 854*q = 0. Calculate q.
-35, 0, 61
Find w, given that -9*w**5/2 + 537*w**4/2 - 1428*w**3 + 2796*w**2 - 2280*w + 648 = 0.
2/3, 1, 2, 54
Determine i, given that 4*i**4 - 4004*i**3 + 3980*i**2 + 19988*i + 12000 = 0.
-1, 3, 1000
Factor -13*p**3 + 3097*p**2 + 45150*p - 10584.
-(p - 252)*(p + 14)*(13*p - 3)
Determine c so that -6*c**3/5 - 14037*c**2/5 + 491316*c/5 - 242148/5 = 0.
-2374, 1/2, 34
Factor 5*t**3 - 225*t**2 + 1360*t + 9360.
5*(t - 36)*(t - 13)*(t + 4)
Let n**2 + 871*n + 870 = 0. Calculate n.
-870, -1
Factor -25*j**5/7 + 370*j**4/7 - 1509*j**3/7 + 148*j**2 - 28*j.
-j*(j - 7)**2*(5*j - 2)**2/7
Suppose -2*y**5/7 + 152*y**4/7 - 1096*y**3/7 + 64*y**2 + 6528*y/7 = 0. Calculate y.
-2, 0, 4, 6, 68
Determine r so that 2*r**2/3 - 510*r - 1536 = 0.
-3, 768
Determine q so that -335*q**3 + 15655*q**2 - 11180*q - 4140 = 0.
-18/67, 1, 46
Determine t so that t**4/5 - 427*t**3/5 - 2403*t**2 - 109593*t/5 - 330966/5 = 0.
-9, 454
Solve z**4 + 94*z**3 - 100*z**2 - 478*z - 285 = 0 for z.
-95, -1, 3
Factor r**3/4 + 305*r**2/4 - 709*r - 785.
(r - 10)*(r + 1)*(r + 314)/4
Solve h**2/7 - 325592*h/7 - 651188/7 = 0 for h.
-2, 325594
Solve m**5/4 + 77*m**4/2 + 1341*m**3/2 + 4023*m**2 + 40365*m/4 + 18225/2 = 0 for m.
-135, -10, -3
Let -58*q**2/3 + 904*q/3 - 170 = 0. What is q?
17/29, 15
Factor -5*l**2 - 2365*l + 41650.
-5*(l - 17)*(l + 490)
Factor 5*o**3 - 1755*o**2 + 6955*o - 5205.
5*(o - 347)*(o - 3)*(o - 1)
Determine r, given that -6*r**5/5 - 1481*r**4/5 - 8483*r**3/5 - 11583*r**2/5 - 3611*r/5 + 964/5 = 0.
-241, -4, -1, 1/6
Let -1924803*n**5/5 - 109723383*n**4/5 - 606860841*n**3/5 - 886513041*n**2/5 - 4415688*n/5 - 5508/5 = 0. What is n?
-5