late q.
-1, -334/1883
Factor 2*r**2/5 - 207*r + 517/5.
(r - 517)*(2*r - 1)/5
Factor -3*i**3/4 - 1161*i**2 - 9279*i/4 - 2319/2.
-3*(i + 1)**2*(i + 1546)/4
Solve s**4/9 - 56*s**3/9 - 2020*s**2/3 - 11600*s = 0.
-30, 0, 116
Factor -84*b**3 - 244*b**2 + 864*b - 80.
-4*(b - 2)*(b + 5)*(21*b - 2)
Determine z so that -z**2 - 372*z - 371 = 0.
-371, -1
Determine q, given that 3*q**5 + 3*q**4 - 450*q**3 - 1290*q**2 + 447*q + 1287 = 0.
-11, -3, -1, 1, 13
Solve -2*l**5/3 + 20*l**4 + 774*l**3 + 22076*l**2/3 + 26312*l + 29040 = 0.
-11, -6, -2, 55
Factor -y**2 - 43002*y - 462293001.
-(y + 21501)**2
Factor -h**2/5 - 37268*h/5 - 347225956/5.
-(h + 18634)**2/5
Factor f**3/4 - 59*f**2/4 + 69*f - 81.
(f - 54)*(f - 3)*(f - 2)/4
Solve l**5/7 + 10*l**4/7 + 3*l**3/7 - 54*l**2/7 = 0 for l.
-9, -3, 0, 2
Factor 162*y**2 - 103536*y + 16542752.
2*(9*y - 2876)**2
What is h in -h**2 + 2981*h - 2980 = 0?
1, 2980
Let z**4 + 2908*z**3 - 5819*z**2 + 2910*z = 0. What is z?
-2910, 0, 1
Factor -13*l**3/3 - 2536*l**2/3 + 5111*l/3 - 854.
-(l - 1)**2*(13*l + 2562)/3
Factor -2*b**2/9 + 39496*b/9.
-2*b*(b - 19748)/9
Find c, given that -c**2/3 + 2470*c/3 - 22792 = 0.
28, 2442
Factor 2*l**2/9 - 8948*l/9 + 10008338/9.
2*(l - 2237)**2/9
Solve -f**4/5 - 572*f**3/5 - 103086*f**2/5 - 1202108*f - 1181605 = 0 for f.
-281, -145, -1
Let -p**3 - 672*p**2 + 2025*p = 0. What is p?
-675, 0, 3
What is o in -12*o**4/7 + 16017*o**3/7 + 4017*o**2/7 - 16017*o/7 - 4005/7 = 0?
-1, -1/4, 1, 1335
Determine w, given that -2*w**4/19 - 3186*w**3/19 - 1710450*w**2/19 - 319173750*w/19 - 5209312500/19 = 0.
-525, -18
Factor n**2 - 8*n - 15860.
(n - 130)*(n + 122)
Suppose 6*g**3/5 + 2654*g**2/5 + 8786*g/5 + 2634/5 = 0. What is g?
-439, -3, -1/3
Find i such that i**2/2 - 165829*i/2 + 82914 = 0.
1, 165828
Factor -o**3/2 - 95*o**2 - 189*o/2.
-o*(o + 1)*(o + 189)/2
Find i such that -8*i**3/7 + 2428*i**2/7 + 8632*i/7 - 11052/7 = 0.
-9/2, 1, 307
Suppose -3*o**4 - 8157*o**3 - 48861*o**2 - 73263*o - 32556 = 0. What is o?
-2713, -4, -1
Solve 82*c**4 + 976*c**3 + 1544*c**2 - 160*c = 0 for c.
-10, -2, 0, 4/41
Factor s**3 - 88*s**2 + 939*s - 2052.
(s - 76)*(s - 9)*(s - 3)
Factor d**3/10 + 1032*d**2/5 + 272616*d/5 + 19363136/5.
(d + 148)**2*(d + 1768)/10
Solve x**4/4 - 245*x**3/2 + 13101*x**2/4 - 18945*x - 51975 = 0 for x.
-2, 15, 462
Factor -68*t**2 - 69425*t + 3063.
-(t + 1021)*(68*t - 3)
Solve -20*j**5 - 1552*j**4 - 12756*j**3 + 20312*j**2 - 5984*j = 0 for j.
-68, -11, 0, 2/5, 1
Solve r**3 + 21062*r**2 + 110901961*r = 0.
-10531, 0
What is k in k**2/2 + 2221*k/2 + 23100 = 0?
-2200, -21
Factor -x**3/3 - 1055*x**2 + 3166*x/3.
-x*(x - 1)*(x + 3166)/3
Factor -u**2/10 - 37752*u/5 - 712606752/5.
-(u + 37752)**2/10
Suppose -4*p**2/7 + 6938048*p/7 - 3008531878144/7 = 0. What is p?
867256
Suppose o**5/6 + 109*o**4 + 108229*o**3/6 + 70850*o**2 + 211250*o/3 = 0. What is o?
-325, -2, 0
Let 5*b**4 - 130*b**3 - 485*b**2 + 5530*b + 5880 = 0. What is b?
-7, -1, 6, 28
Factor a**2/2 - 319*a/2 + 7670.
(a - 260)*(a - 59)/2
Factor 4*s**3/3 + 351076*s**2/3 + 7703221820*s/3 - 7703572900/3.
4*(s - 1)*(s + 43885)**2/3
Find i such that 4*i**2 - 477720*i + 14263524900 = 0.
59715
Determine k, given that -26*k**2 + 285320*k + 43896 = 0.
-2/13, 10974
Factor z**3/2 + 2177*z**2 + 8705*z/2 + 2176.
(z + 1)**2*(z + 4352)/2
Suppose 2*f**5/7 - 130*f**4/7 - 1280*f**3/7 - 3800*f**2/7 - 3552*f/7 = 0. Calculate f.
-4, -3, -2, 0, 74
Factor -2*z**4 - 14000*z**3 - 24513996*z**2 - 48986000*z - 24486002.
-2*(z + 1)**2*(z + 3499)**2
Solve -4*l**3/9 - 2098*l**2/9 - 11428*l/9 - 1730/3 = 0 for l.
-519, -5, -1/2
Let -m**2/5 - 234772*m/5 - 13779472996/5 = 0. Calculate m.
-117386
Find r, given that -3*r**5 - 1707*r**4/2 + 1287*r**3 - 3*r**2/2 - 429*r = 0.
-286, -1/2, 0, 1
Factor -8*a**2/3 + 98990*a - 74242/3.
-2*(a - 37121)*(4*a - 1)/3
Factor -d**4/6 + 2009*d**3/6 - 2005*d**2 + 12022*d/3 - 8012/3.
-(d - 2003)*(d - 2)**3/6
Find s such that -5*s**2 - 110410*s + 220840 = 0.
-22084, 2
Suppose 2*o**3/9 + 452*o**2/9 - 416*o = 0. What is o?
-234, 0, 8
Factor -2*l**2/5 - 1536*l + 46152/5.
-2*(l - 6)*(l + 3846)/5
Factor 3*b**3 - 1791*b**2 - 103275*b - 1423737.
3*(b - 651)*(b + 27)**2
Find h such that -2*h**3/5 + 34*h**2 + 704*h/5 + 712/5 = 0.
-2, 89
Factor -11*i**3 + 394*i**2 + 821*i + 416.
-(i + 1)**2*(11*i - 416)
Suppose -t**4 - 14*t**3 + 53075*t**2 + 53088*t = 0. What is t?
-237, -1, 0, 224
Find z, given that -z**2/3 - 63146*z/3 + 21049 = 0.
-63147, 1
Factor 4*r**4 - 10260*r**3 + 8762016*r**2 - 2482509568*r - 7526664192.
4*(r - 856)**3*(r + 3)
Factor 2*u**4/3 + 1802*u**3/3 + 268088*u**2/3.
2*u**2*(u + 188)*(u + 713)/3
Solve 5*j**3 + 16245*j**2 + 12906120*j - 471828700 = 0.
-1642, 35
Solve 3*w**2/4 + 7254*w + 29004 = 0 for w.
-9668, -4
Factor m**4/6 + 820*m**3/3 - 1644*m**2 + 9872*m/3 - 6584/3.
(m - 2)**3*(m + 1646)/6
What is g in 2*g**4/11 + 584*g**3 + 25654*g**2/11 - 32080*g/11 = 0?
-3208, -5, 0, 1
Solve -f**4/2 - 193*f**3/2 - 751*f**2/2 + 945*f/2 = 0 for f.
-189, -5, 0, 1
Let r**3/2 - 353*r**2/2 + 3380*r - 16650 = 0. Calculate r.
10, 333
Determine x so that 301*x**5 - 46454*x**4 + 285401*x**3 - 491248*x**2 + 136788*x - 5328 = 0.
2/43, 2/7, 3, 148
Factor 3*g**2 - 53550*g + 238966875.
3*(g - 8925)**2
Suppose 3*j**5/4 - 933*j**4 - 146037*j**3/4 - 71151*j**2/2 = 0. What is j?
-37, -1, 0, 1282
Find v such that -v**2/4 - 15*v/4 - 11 = 0.
-11, -4
Let 104*j**2/5 - 73*j/5 - 54 = 0. What is j?
-135/104, 2
Find a such that 20*a**5/7 + 108*a**4/7 + 120*a**3/7 + 32*a**2/7 = 0.
-4, -1, -2/5, 0
Factor -3*m**2 - 108069*m + 216150.
-3*(m - 2)*(m + 36025)
Factor -3*n**2 - 3617148*n - 1090313304492.
-3*(n + 602858)**2
Factor m**3/3 - 36*m**2 - 1531*m/3 - 1694.
(m - 121)*(m + 6)*(m + 7)/3
Determine u, given that 15*u**4 + 11935*u**3 - 51935*u**2 + 51985*u - 12000 = 0.
-800, 1/3, 1, 3
Factor 3*s**2/5 - 964422*s/5 - 192885.
3*(s - 321475)*(s + 1)/5
Factor s**2/4 + 483647*s/2 + 233914420609/4.
(s + 483647)**2/4
Determine v, given that -64*v**5 - 2208*v**4 - 1092*v**3 - 136*v**2 = 0.
-34, -1/4, 0
Factor 3*v**3 + 63438*v**2 + 335745291*v + 4019813604.
3*(v + 12)*(v + 10567)**2
Find a such that a**2/2 + 1259*a/6 + 18073/3 = 0.
-1166/3, -31
Suppose 4*g**5 + 356*g**4 - 2424*g**3 - 13336*g**2 + 32500*g - 17100 = 0. What is g?
-95, -5, 1, 9
Factor 3*v**3/4 - 17179*v**2/4 + 24596033*v/4 - 8196769/4.
(v - 2863)**2*(3*v - 1)/4
What is m in 2*m**2 + 5132*m - 10272 = 0?
-2568, 2
Let -75*n**5 + 85*n**4 + 440*n**3 - 60*n**2 = 0. Calculate n.
-2, 0, 2/15, 3
Find w, given that 2*w**4/17 - 4666*w**3/17 - 14012*w**2/17 - 9344*w/17 = 0.
-2, -1, 0, 2336
Suppose -3*z**5/10 + 541*z**4/10 + 1846*z**3/5 + 4464*z**2/5 + 896*z + 1496/5 = 0. What is z?
-2, -2/3, 187
Suppose -2*l**4/23 + 5824*l**3/23 - 5812*l**2/23 - 29104*l/23 - 17466/23 = 0. Calculate l.
-1, 3, 2911
Factor -p**3 + 14629*p**2 - 53494595*p - 53509225.
-(p - 7315)**2*(p + 1)
Factor -y**2/7 - 48629*y - 680802/7.
-(y + 2)*(y + 340401)/7
Suppose 2*t**2/7 - 8094*t/7 + 25300 = 0. Calculate t.
22, 4025
Solve g**5/4 - 341*g**4/4 + 11775*g**3/2 + 486101*g**2/2 + 1872385*g/4 + 924075/4 = 0.
-27, -1, 185
Factor -2*i**2 - 2926*i.
-2*i*(i + 1463)
Solve f**2/10 - 353*f/5 - 4308/5 = 0 for f.
-12, 718
Suppose 35*s**4 - 8625*s**3 - 31170*s**2 - 20060*s + 15000 = 0. What is s?
-2, 3/7, 250
Let 5*h**3/6 + 575*h**2/6 + 2645*h/2 - 182505/2 = 0. Calculate h.
-69, 23
Factor 3*a**2/2 - 174867*a - 1748745/2.
3*(a - 116583)*(a + 5)/2
Determine h so that -2*h**3/3 + 3076*h**2/9 - 376448*h/9 + 83200/3 = 0.
2/3, 200, 312
Factor -3*n**3 - 201*n**2/5 + 14559*n/5 + 258681/5.
-3*(n + 23)**2*(5*n - 163)/5
Find j such that -5*j**5 + 8230*j**4 - 8195*j**3 - 49370*j**2 + 32860*j + 65800 = 0.
-2, -1, 2, 1645
Suppose 252*t**4 + 1024*t**3 - 19356*t**2 - 1296*t + 1232 = 0. Calculate t.
-11, -2/7, 2/9, 7
What is w in 2*w**4/3 - 450*w**3 - 2*w**2/3 + 450*w = 0?
-1, 0, 1, 675
Factor 2*u**2/3 + 48*u - 5280.
2*(u - 60)*(u + 132)/3
Factor -c**2/2 - 7633*c - 58262689/2.
-(c + 7633)**2/2
Solve 1432*p**3 + 4284*p**2 + 2828*p - 24 = 0.
-2, -1, 3/358
Find n, given that 30*n**3 - 9484*n**2/3 + 414656*n/5 + 92928/5 = 0.
-2/9, 264/5
Let -4*u**5 + 112*u**4 + 632*u**3 + 912*u**2 + 396*u = 0. What is u?
-3, -1, 0, 33
Factor -3*r**2 + 12258*r.
-3*r*(r - 4086)
What is y in -648*y**5/5 + 142848*y**4/5 + 368502*y**3/5 + 175