3 = 0 for t.
-11, -4, -2, 133
Factor 4*j**2 + 463688*j + 13437910084.
4*(j + 57961)**2
Factor -c**2/2 - 54580*c - 1489488200.
-(c + 54580)**2/2
Let 2*a**2/17 - 468*a/17 - 107822/17 = 0. What is a?
-143, 377
Factor -3*y**3/2 - 789*y**2/2 - 4653*y/2 - 6939/2.
-3*(y + 3)**2*(y + 257)/2
Let -4*v**5 - 6832*v**4 - 168964*v**3 - 1117896*v**2 - 645120*v + 1938816 = 0. Calculate v.
-1683, -12, -2, 1
Determine i, given that 12993*i**2 - 428775*i + 198 = 0.
2/4331, 33
Suppose -o**5/3 - 764*o**4 - 2290*o**3/3 + 764*o**2 + 2291*o/3 = 0. Calculate o.
-2291, -1, 0, 1
Solve 2*z**2/13 + 554*z/13 + 13500/13 = 0.
-250, -27
Suppose g**2 - 16599*g/4 - 2075/2 = 0. What is g?
-1/4, 4150
Factor 27*o**4 - 31137*o**3 + 6918*o**2.
3*o**2*(o - 1153)*(9*o - 2)
Factor -10348*p**2 + 4620*p + 72.
-4*(13*p - 6)*(199*p + 3)
Find p, given that 14*p**3/17 - 9258*p**2/17 + 21096*p/17 - 5272/17 = 0.
2/7, 2, 659
Factor -24*o**3 - 16244*o**2 + 35300*o - 5432.
-4*(o - 2)*(o + 679)*(6*o - 1)
Solve -3*a**4 + 246*a**3 - 1749*a**2 - 1998*a = 0 for a.
-1, 0, 9, 74
Factor f**3/3 + 12880*f**2/3 + 25757*f/3 + 12878/3.
(f + 1)**2*(f + 12878)/3
Factor 3*k**4/8 + 17445*k**3/8 - 8727*k**2 + 17457*k/2.
3*k*(k - 2)**2*(k + 5819)/8
Suppose -4*r**3 + 1084*r**2 - 2152*r = 0. Calculate r.
0, 2, 269
Suppose 5*l**5 + 15*l**4 - 400*l**3 - 2340*l**2 - 2080*l + 4800 = 0. Calculate l.
-6, -4, 1, 10
Determine s so that -2*s**3/3 + 80*s**2/3 + 1664*s/3 + 7168/3 = 0.
-8, 56
Factor -b**3/6 - 1883*b**2/6 + 7556*b/3 - 15128/3.
-(b - 4)**2*(b + 1891)/6
Let 2*z**3/7 + 5830*z**2/7 - 17516*z/7 - 23344/7 = 0. What is z?
-2918, -1, 4
Factor d**3/6 + 2081*d**2/6 - 8345*d/6 - 3475/2.
(d - 5)*(d + 1)*(d + 2085)/6
Determine h so that -h**4/4 + 65*h**3/4 - 347*h**2/4 - 413*h/4 = 0.
-1, 0, 7, 59
Factor 2*i**2/15 - 4564*i/15 + 21168/5.
2*(i - 2268)*(i - 14)/15
Solve -33*r**4 + 18978*r**3 + 55497*r**2 - 5202*r = 0.
-3, 0, 1/11, 578
Factor -g**3 + 2689*g**2 + 5381*g + 2691.
-(g - 2691)*(g + 1)**2
Let 4*t**4 - 23168*t**3 + 33454464*t**2 + 268748800*t + 538240000 = 0. Calculate t.
-4, 2900
Suppose 69*a**3/5 + 1428*a**2/5 + 9849*a/5 + 22638/5 = 0. What is a?
-7, -154/23
Find d such that d**2/3 - 43729*d/3 + 87454/3 = 0.
2, 43727
Factor -2*p**2/5 + 55172*p/5 - 380493698/5.
-2*(p - 13793)**2/5
What is o in -o**2/2 + 2759*o/2 + 29190 = 0?
-21, 2780
Factor 3*f**3/7 - 1266*f**2/7 + 150195*f/7 - 780300.
3*(f - 252)*(f - 85)**2/7
Factor 6*h**2 + 141194*h + 47064.
2*(h + 23532)*(3*h + 1)
Factor -3*d**3/7 + 1305*d**2/7 - 131625*d/7 + 3865875/7.
-3*(d - 305)*(d - 65)**2/7
Solve -2*o**2/5 + 478*o/5 + 96 = 0 for o.
-1, 240
Determine t so that -2*t**2/11 + 238*t/11 + 1500/11 = 0.
-6, 125
Suppose -2*s**2 - 19698*s - 882360 = 0. Calculate s.
-9804, -45
What is v in 8*v**3/5 - 3038*v**2/5 + 165032*v/5 + 41448/5 = 0?
-1/4, 66, 314
Solve -4*r**5 + 479776*r**4 - 14386083332*r**3 - 28776004936*r**2 + 57544333392*r + 115096343328 = 0 for r.
-2, 2, 59973
Factor 1450*c**2/9 + 2906*c/3 + 12.
2*(c + 6)*(725*c + 9)/9
Find b such that 3*b**2/4 + 801*b/4 - 2457/2 = 0.
-273, 6
Find z, given that -z**3/2 + 14355*z**2 + 114864*z + 229744 = 0.
-4, 28718
Factor u**3/9 - 3443*u**2/9 + 54896*u/9 - 219328/9.
(u - 3427)*(u - 8)**2/9
Factor -l**2 - 57811*l + 346902.
-(l - 6)*(l + 57817)
Factor 4*r**3 + 2772*r**2 + 11036*r + 8268.
4*(r + 1)*(r + 3)*(r + 689)
Factor 5*v**2 - 1700*v + 13280.
5*(v - 332)*(v - 8)
What is o in -7*o**4 + 397*o**3 - 1286*o**2 - 4852*o - 1272 = 0?
-2, -2/7, 6, 53
Factor -3*i**3/8 - 3*i**2/2 + 51*i/8 + 45/2.
-3*(i - 4)*(i + 3)*(i + 5)/8
Factor -v**4 - 801*v**3 - 4743*v**2 + 21465*v.
-v*(v - 3)*(v + 9)*(v + 795)
Find f such that -4*f**5/3 - 416*f**4/3 + 1016*f**3 - 2208*f**2 + 1332*f = 0.
-111, 0, 1, 3
Find z such that -9*z**4 - 237*z**3 + 3702*z**2 - 11052*z - 4104 = 0.
-38, -1/3, 6
Factor v**4/4 + 5561*v**3 + 82462215*v**2/2 + 101882062925*v - 407693198375/4.
(v - 1)*(v + 7415)**3/4
Factor 3*b**2/2 - 546*b - 7791/2.
3*(b - 371)*(b + 7)/2
Suppose -5*f**3/3 - 1875*f**2 - 535680*f - 4670460 = 0. What is f?
-558, -9
Let l**3 - 141*l**2/2 + 825*l/2 + 224 = 0. Calculate l.
-1/2, 7, 64
What is f in -2*f**5/11 - 1462*f**4/11 + 22282*f**3/11 - 72994*f**2/11 + 85000*f/11 - 2984 = 0?
-746, 1, 2, 11
Suppose -u**5/4 + u**4/2 + 43*u**3/2 - 60*u**2 - 981*u/4 + 567/2 = 0. What is u?
-9, -3, 1, 6, 7
Determine q, given that 4*q**4 + 76*q**3 - 444*q**2 - 1804*q - 1288 = 0.
-23, -2, -1, 7
Factor -2*u**3 - 14098*u**2 - 14096*u.
-2*u*(u + 1)*(u + 7048)
Solve -3*w**2 + 36480*w - 110899200 = 0 for w.
6080
Factor k**3 - 344*k**2 + 11123*k - 10780.
(k - 308)*(k - 35)*(k - 1)
Solve 16*h**5 + 2442*h**4 + 1498*h**3 - 3354*h**2 - 1514*h + 912 = 0 for h.
-152, -1, 3/8, 1
Solve -d**5/3 + 26*d**4 - 503*d**3/3 + 142*d**2 = 0.
0, 1, 6, 71
Solve -115*v**2 - 220*v + 960 = 0.
-4, 48/23
Suppose -4*o**2/7 + 24796*o/7 - 296976/7 = 0. What is o?
12, 6187
Solve -h**3 + 2366*h**2 - 98049*h + 1024884 = 0.
21, 2324
Determine u so that 150062500*u**2 - 147000*u + 36 = 0.
3/6125
Find a, given that 60*a**4 - 1208*a**3 - 5360*a**2 - 5024*a + 768 = 0.
-2, 2/15, 24
Find r such that -2*r**3/5 - 1428*r**2/5 - 56448*r - 3402560 = 0.
-434, -140
Find m such that 2*m**2/7 + 14724*m/7 + 14722/7 = 0.
-7361, -1
Find l, given that -5*l**3 + 250*l**2 - 3185*l + 7440 = 0.
3, 16, 31
Factor 3*j**2 - 329682*j + 9057518427.
3*(j - 54947)**2
Determine y so that -10*y**5 - 3915*y**4 + 9865*y**3 + 5870*y**2 - 15780*y - 7880 = 0.
-394, -1, -1/2, 2
Let -q**4/4 + 27*q**3/2 - 925*q**2/4 + 1071*q + 3179 = 0. Calculate q.
-2, 17, 22
Let -2*j**2/13 + 15016*j/13 + 75130/13 = 0. Calculate j.
-5, 7513
Factor 963*g**2 + 457423*g - 950.
(g + 475)*(963*g - 2)
Factor 2*h**2/7 - 300120*h/7 + 11259001800/7.
2*(h - 75030)**2/7
Let -i**4/4 - 194*i**3 - 41518*i**2 - 1456680*i + 3080988 = 0. Calculate i.
-366, -46, 2
Factor 4*l**2/5 + 14108*l/5.
4*l*(l + 3527)/5
Determine c so that -2*c**3/13 - 5116*c**2/13 - 10224*c/13 = 0.
-2556, -2, 0
Suppose 2*g**2/11 - 7196*g/11 - 603520/11 = 0. What is g?
-82, 3680
Solve -98*a**5 + 3159072*a**4 - 25457607344*a**3 - 14547977856*a**2 - 2078319392*a = 0.
-2/7, 0, 16118
Suppose 15*p**4 - 126*p**3 - 213*p**2 + 2196*p + 2268 = 0. What is p?
-18/5, -1, 6, 7
Factor -z**4 - 659*z**3 + 2649*z**2 - 1989*z.
-z*(z - 3)*(z - 1)*(z + 663)
Factor 2*a**3 - 166*a**2 - 2832*a - 10584.
2*(a - 98)*(a + 6)*(a + 9)
Solve 8*w**2/19 - 142450*w/19 + 35612/19 = 0.
1/4, 17806
Factor f**2 - 1934*f.
f*(f - 1934)
Factor -5*q**2/3 - 19445*q - 58330/3.
-5*(q + 1)*(q + 11666)/3
Factor 45*l**3 - 315*l**2 - 2525*l + 875.
5*(l + 5)*(3*l - 35)*(3*l - 1)
What is a in 2*a**2 + 173846*a + 173844 = 0?
-86922, -1
Determine o, given that 5*o**5 + 160*o**4 + 1160*o**3 + 3010*o**2 + 3155*o + 1150 = 0.
-23, -5, -2, -1
Factor 3*k**2 + 1113*k - 3366.
3*(k - 3)*(k + 374)
Factor -w**2 + 5998*w + 24008.
-(w - 6002)*(w + 4)
Solve -2*y**4/9 + 169574*y**3/3 = 0.
0, 254361
Factor -2*p**2/5 - 22172*p/5 - 61449698/5.
-2*(p + 5543)**2/5
Determine v, given that 17*v**3 + 126*v**2 - 708*v + 776 = 0.
-194/17, 2
Let -x**4/3 + 743*x**3/3 - 5735*x**2 - 36643*x/3 - 18694/3 = 0. What is x?
-1, 26, 719
Determine k, given that -2*k**2/7 - 2434*k - 17036/7 = 0.
-8518, -1
What is f in f**5 + 187*f**4 + 543*f**3 - 1651*f**2 + 920*f = 0?
-184, -5, 0, 1
Factor j**5 - 43*j**4 - 4512*j**3 - 25960*j**2 - 51152*j - 33840.
(j - 94)*(j + 2)**3*(j + 45)
Factor -4*h**2 - 10444*h + 62808.
-4*(h - 6)*(h + 2617)
Factor -3*c**3/2 - 117*c**2/2 - 609*c/2 - 495/2.
-3*(c + 1)*(c + 5)*(c + 33)/2
Solve p**3 + 5245*p**2 + 31442*p + 41912 = 0.
-5239, -4, -2
Factor 2*r**2 + 79864*r - 239610.
2*(r - 3)*(r + 39935)
Suppose -3*c**4/5 + 141*c**3/5 - 432*c**2/5 - 3516*c/5 - 4128/5 = 0. Calculate c.
-2, 8, 43
Determine u, given that -u**5 + 15793*u**4 - 63162*u**3 + 94738*u**2 - 63157*u + 15789 = 0.
1, 15789
Suppose -2*z**5 + 168*z**4 - 2976*z**3 - 23740*z**2 - 13950*z + 40500 = 0. What is z?
-5, -2, 1, 45
Solve -4141875*d**3/7 - 36099525*d**2 - 2580408*d/7 - 6588/7 = 0 for d.
-61, -6/1175
Solve 4*r**2 + 7284*r + 972080 = 0 for r.
-1676, -145
Factor -7*z**3 + 1109*z**2 - 43153*z + 18291.
-(z - 91)*(z - 67)*(7*z - 3)
Factor 3*j**4 - 2127*j**3 + 346725*j**2 - 21425997*j + 458362812.
3*(j - 508)*(j - 67)**3
Find y such that -3*y**2 + 7743*y + 108990 = 0.
-14, 2595
Factor -3*m**3 + 1092*m**2