1/42, 6014
Factor -2*w**3 - 2274*w**2 - 649782*w - 1928934.
-2*(w + 3)*(w + 567)**2
Factor 4*h**2 - 75032*h - 976092.
4*(h - 18771)*(h + 13)
Factor 4*m**3/3 - 1664*m**2/3 - 20884*m/3 + 145520/3.
4*(m - 428)*(m - 5)*(m + 17)/3
Let -620*c**2 + 2008*c - 444 = 0. Calculate c.
37/155, 3
What is o in -33*o**2 - 460266*o + 251064 = 0?
-13948, 6/11
Factor -d**3/5 - 1023*d**2/5 - 3219*d + 17119/5.
-(d - 1)*(d + 17)*(d + 1007)/5
Solve 2*c**5/19 - 1420*c**4/19 + 16718*c**3/19 + 23828*c**2/19 - 66904*c/19 - 72592/19 = 0.
-2, -1, 2, 13, 698
Let -c**2/3 - 286*c - 163877/3 = 0. Calculate c.
-571, -287
Find o such that -10*o**5 - 5*o**4 + 455*o**3 + 25*o**2 - 5125*o + 2500 = 0.
-5, 1/2, 4, 5
Factor 2*f**3/11 + 20*f**2/11 - 3486*f/11 + 45864/11.
2*(f - 21)**2*(f + 52)/11
Let 3*c**5 - 19317*c**4/5 + 9229686*c**3/5 - 386779458*c**2 + 29852877615*c + 5986061475 = 0. Calculate c.
-1/5, 223, 355
Factor -5*h**2 + 2915*h - 106080.
-5*(h - 544)*(h - 39)
Let -z**4/3 - 88*z**3/3 - 1559*z**2/3 + 14548*z/3 - 7380 = 0. What is z?
-54, -41, 2, 5
Factor k**4 + 52*k**3 + 805*k**2 + 3534*k + 4680.
(k + 3)**2*(k + 20)*(k + 26)
Factor -r**3/5 - 1338*r**2/5 + 16*r/5 + 21408/5.
-(r - 4)*(r + 4)*(r + 1338)/5
Determine q, given that -4*q**3 - 12208*q**2 - 9363344*q - 74127488 = 0.
-1522, -8
Factor -49*g**4 + 1174*g**3 - 9360*g**2 + 24704*g + 1024.
-(g - 8)**3*(49*g + 2)
Determine k, given that -k**5 - 31*k**4 - 167*k**3 + 31*k**2 + 168*k = 0.
-24, -7, -1, 0, 1
Let -b**3/2 - 458*b**2 + 15879*b/2 + 8397 = 0. What is b?
-933, -1, 18
Factor 3*j**3 + 1284*j**2 + 81423*j - 13020210.
3*(j - 70)*(j + 249)**2
Find m, given that -m**4/4 + 811*m**3/4 - 177027*m**2/4 + 5018489*m/4 - 1210568 = 0.
1, 32, 389
Factor 2*r**2/9 + 21434*r/9 + 42860/9.
2*(r + 2)*(r + 10715)/9
What is n in -3*n**2 + 13929*n + 55764 = 0?
-4, 4647
Solve -6*h**3/5 + 5548*h**2/5 - 58554*h/5 + 53012/5 = 0 for h.
1, 29/3, 914
Factor u**3 + 52719*u**2 + 694849599*u + 694796881.
(u + 1)*(u + 26359)**2
Determine b, given that -2*b**2/9 + 340*b/3 + 204512/9 = 0.
-154, 664
Factor -z**3/5 - 45964*z**2/5 - 528402069*z/5 - 1055885058.
-(z + 10)*(z + 22977)**2/5
Find x, given that x**4/4 + 8945*x**3/4 + 44707*x**2/4 + 62583*x/4 + 6705 = 0.
-8940, -3, -1
Suppose 5*c**2 - 885*c - 13370 = 0. What is c?
-14, 191
Let -2*j**4/3 + 968*j**3/3 - 41506*j**2 + 588744*j - 547560 = 0. What is j?
1, 15, 234
Factor -q**3/5 + 538*q**2/5 + 539*q/5.
-q*(q - 539)*(q + 1)/5
Suppose -2*w**3/9 + 28948*w**2/3 - 19298*w + 86840/9 = 0. Calculate w.
1, 43420
Factor -q**2/2 + 613*q/2 + 5032.
-(q - 629)*(q + 16)/2
Determine t, given that 8*t**5/5 + 168266*t**4/5 + 176946418*t**3 - 132804470*t**2 - 1991015338*t/5 - 442429156/5 = 0.
-10517, -1, -1/4, 2
Let h**5/4 - 5*h**4/4 - 213*h**3/4 + 441*h**2/4 + 3078*h + 2916 = 0. Calculate h.
-9, -1, 12
Let -4*m**2 - 111776*m - 780867136 = 0. What is m?
-13972
Solve 5*v**4/2 + 479350*v**3 + 22977642250*v**2 = 0 for v.
-95870, 0
What is u in 2*u**5/17 - 80*u**4/17 + 1116*u**3/17 - 6056*u**2/17 + 9074*u/17 - 4056/17 = 0?
1, 12, 13
Factor -2*x**2/7 - 1366*x + 19132/7.
-2*(x - 2)*(x + 4783)/7
Suppose 3*o**2 + 28620*o - 28623 = 0. What is o?
-9541, 1
Factor -a**2/8 - 69*a/4 + 35.
-(a - 2)*(a + 140)/8
Determine h so that -h**2/2 + 21*h/2 - 19 = 0.
2, 19
Factor 3374*g**3 - 1474*g**2 + 12*g.
2*g*(7*g - 3)*(241*g - 2)
Factor -2*g**4/3 - 8500*g**3/3 - 4015776*g**2 - 1900793088*g - 3785545728.
-2*(g + 2)*(g + 1416)**3/3
What is s in -20*s**3 - 92128*s**2 - 106113028*s - 42430472 = 0?
-2303, -2/5
Solve -2*b**3/7 + 318*b**2/7 + 29444*b/7 + 57600/7 = 0 for b.
-64, -2, 225
Let -27*u**5/8 + 2721*u**4/4 + 35877*u**3/8 + 16353*u**2/2 + 2808*u = 0. What is u?
-3, -4/9, 0, 208
Factor -2*n**2/11 + 266204*n/11.
-2*n*(n - 133102)/11
Factor -1620*t**3 - 173520*t**2 + 693175*t - 679875.
-5*(t + 111)*(18*t - 35)**2
Suppose 5*w**3 + 1235*w**2 + 38660*w - 39900 = 0. Calculate w.
-210, -38, 1
Solve 3*p**3 + 25395*p**2 - 254223*p + 228825 = 0 for p.
-8475, 1, 9
Suppose m**2 + 106270*m + 2823328225 = 0. Calculate m.
-53135
Factor -2*j**2/7 - 144*j/7 - 2350/7.
-2*(j + 25)*(j + 47)/7
Factor 3*w**5/5 + 40674*w**4/5 + 137823843*w**3/5 - 55153944*w**2 + 27581040*w.
3*w*(w - 1)**2*(w + 6780)**2/5
Factor -2*c**3/9 - 5842*c**2/9 + 271906*c/9 - 1046362/3.
-2*(c - 23)**2*(c + 2967)/9
Factor 2*a**3/7 + 7268*a**2/7 + 29048*a/7 + 29040/7.
2*(a + 2)**2*(a + 3630)/7
Factor 3*l**4 + 3540*l**3 + 1061775*l**2 + 10266750*l.
3*l*(l + 10)*(l + 585)**2
Let 2*b**3/3 - 568*b**2/9 + 10174*b/9 - 6532/9 = 0. Calculate b.
2/3, 23, 71
Factor 2*d**5/9 + 712*d**4/3 + 2134*d**3/9.
2*d**3*(d + 1)*(d + 1067)/9
Find l such that -2*l**4/9 + 634*l**3/3 - 1678*l**2 + 13202*l/9 = 0.
0, 1, 7, 943
Determine d so that -2*d**2/17 - 4876*d + 248694/17 = 0.
-41449, 3
Factor -3*b**2/5 - 1557*b/5 - 66552/5.
-3*(b + 47)*(b + 472)/5
Suppose -5*d**3 - 11775*d**2 - 47040*d - 47020 = 0. Calculate d.
-2351, -2
Find u such that 4*u**5 + 84*u**4 + 652*u**3 + 2316*u**2 + 3808*u + 2352 = 0.
-7, -3, -2
Factor 2*j**4/15 - 53364*j**3/5 + 1068053766*j**2/5 - 1281376368*j + 1921920480.
2*(j - 40020)**2*(j - 3)**2/15
Factor 152960*q**2 - 60884*q - 120.
4*(5*q - 2)*(7648*q + 15)
Factor 156*q**3 - 58970*q**2 + 5573232*q - 71442.
2*(q - 189)**2*(78*q - 1)
Find r such that 2*r**3/7 + 158*r**2/7 + 2560*r/7 + 11800/7 = 0.
-59, -10
Factor 2*d**2/13 + 4026*d/13 - 4028/13.
2*(d - 1)*(d + 2014)/13
Find k, given that -k**2/5 + 1142*k/5 + 1143/5 = 0.
-1, 1143
What is i in i**4/3 + 104*i**3/3 + 881*i**2/3 + 2494*i/3 + 760 = 0?
-95, -4, -3, -2
Factor -5*f**2/3 + 1160*f/3 + 20240.
-5*(f - 276)*(f + 44)/3
Factor -3*k**3 + 771*k**2 - 63345*k + 1623177.
-3*(k - 103)**2*(k - 51)
Factor 4*k**3 + 23600*k**2 + 47188*k + 23592.
4*(k + 1)**2*(k + 5898)
Factor -2*o**3/13 + 19046*o**2/13 - 45085550*o/13 - 1231233750/13.
-2*(o - 4775)**2*(o + 27)/13
Factor -m**4 - 2067*m**3 + 694926*m**2 - 73004868*m + 2518246584.
-(m - 102)**3*(m + 2373)
Find v, given that -56*v**4 - 708*v**3 - 1492*v**2 + 4896*v + 2736 = 0.
-57/7, -6, -1/2, 2
Determine s, given that -3*s**3 + 765*s**2 - 1521*s + 759 = 0.
1, 253
What is c in -3*c**3/4 - 153*c**2/4 + 345*c - 531 = 0?
-59, 2, 6
Determine w so that w**4/8 + 103*w**3/8 - 867*w**2/8 + 2313*w/8 - 999/4 = 0.
-111, 2, 3
Suppose 3*p**3 - 3810*p**2 + 41547*p = 0. What is p?
0, 11, 1259
Factor -4*a**3 + 16824*a**2 + 67360*a.
-4*a*(a - 4210)*(a + 4)
What is w in w**4/3 - 45*w**3 - 4432*w**2/3 + 3132*w = 0?
-29, 0, 2, 162
Let 2*v**2/5 + 6486*v/5 - 6488/5 = 0. What is v?
-3244, 1
Factor 5*h**4 - 75*h**3 - 590*h**2 - 840*h.
5*h*(h - 21)*(h + 2)*(h + 4)
Factor -5*d**4 - 820*d**3 + 4295*d**2 + 11830*d.
-5*d*(d - 7)*(d + 2)*(d + 169)
Solve k**2 + 12068*k - 36213 = 0 for k.
-12071, 3
Factor -4*d**3 - 7076*d**2 + 49728*d.
-4*d*(d - 7)*(d + 1776)
Factor -3*t**3 - 633*t**2 + 16920*t.
-3*t*(t - 24)*(t + 235)
Factor 9*i**2/7 - 573*i/7 + 1464/7.
3*(i - 61)*(3*i - 8)/7
Let 5*r**2 - 8400*r + 1998955 = 0. Calculate r.
287, 1393
Find t such that 3*t**3 + 43326*t**2 - 86688*t - 346656 = 0.
-14444, -2, 4
Solve 13965*l**2 + 41875*l - 60 = 0 for l.
-3, 4/2793
Suppose -10125*v**5 - 10105*v**4 + 20270*v**3 - 40*v**2 = 0. Calculate v.
-2, 0, 4/2025, 1
Factor -165*d**2 + 22760*d + 1380.
-5*(d - 138)*(33*d + 2)
Solve 2*y**5/15 - 274*y**4/15 - 758*y**3/5 - 6614*y**2/15 - 8096*y/15 - 232 = 0 for y.
-3, -2, -1, 145
Let -3*r**3/4 + 2673*r**2/4 - 152460*r + 1597200 = 0. Calculate r.
11, 440
Factor 5*d**3 - 254925*d**2 - 254940*d + 509860.
5*(d - 50986)*(d - 1)*(d + 2)
Let 4*b**5 + 137*b**4 + 1215*b**3 + 3010*b**2 - 184*b - 2112 = 0. Calculate b.
-22, -8, -4, -1, 3/4
Factor -3*j**2/2 + 369*j/2 + 49911.
-3*(j - 254)*(j + 131)/2
Suppose -3*u**4 - 3*u**3 + 555*u**2 + 2475*u = 0. Calculate u.
-11, -5, 0, 15
Let 4*t**2 + 1316*t + 3912 = 0. What is t?
-326, -3
Find b, given that -4*b**4 + 55*b**3/2 - 121*b**2/2 + 40*b + 6 = 0.
-1/8, 2, 3
Factor d**3 - 60996*d**2 + 930188997*d - 1860134018.
(d - 30497)**2*(d - 2)
Let u**3/8 + 443*u**2/8 + 59783*u/8 + 2225341/8 = 0. What is u?
-191, -61
Suppose 2*q**4 + 760*q**3 + 1470*q**2 - 15840*q + 13608 = 0. What is q?
-378, -6, 1, 3
Find k such that -2*k**3/13 + 588*k**2 + 15296*k/13 = 0.
-2, 0, 3824
Factor 2*n**2 + 2104*n + 553352.
2*(n + 526)**2
Let 2*j**4 + 216*j**3 + 3082*j**2 + 12876*j + 16560 = 0. What is j?
