 = 0 for d.
-2, -2/7, 1453
Factor -2*f**5/9 - 141242*f**4/9 - 1108216108*f**3/3 - 26078539099256*f**2/9 + 130475829360880*f/9.
-2*f*(f - 5)*(f + 23542)**3/9
Factor -246*w**2/11 - 4912*w/11 + 160/11.
-2*(w + 20)*(123*w - 4)/11
Solve 10*a**4 - 175*a**3 + 590*a**2 - 5*a - 780 = 0 for a.
-1, 3/2, 4, 13
Factor n**3 + 724*n**2 + 172144*n + 13483200.
(n + 212)**2*(n + 300)
Solve 3*z**2/5 - 1428*z - 42948/5 = 0.
-6, 2386
Factor 2*p**4/3 + 4*p**3/3 - 118*p**2/3 - 40*p + 600.
2*(p - 5)**2*(p + 6)**2/3
Let 2*l**5/9 - 122*l**4/9 - 1328*l**3/9 + 4808*l**2/9 - 1120*l/3 = 0. What is l?
-12, 0, 1, 2, 70
Find h, given that -6*h**5 + 74*h**4 - 270*h**3 + 334*h**2 - 84*h = 0.
0, 1/3, 2, 3, 7
Let 1250*c**5 + 15200*c**4 + 38658*c**3 - 46604*c**2 - 8168*c - 336 = 0. What is c?
-7, -6, -2/25, 1
What is s in -4*s**3 + 30840*s**2 + 123408*s + 123424 = 0?
-2, 7714
Factor -3*k**2 + 128402*k/3 - 114128/3.
-(k - 14266)*(9*k - 8)/3
Solve 4*t**2 - 275616*t - 551248 = 0 for t.
-2, 68906
Determine l so that 10*l**4 + 10575*l**3 + 26360*l**2 - 15825*l = 0.
-1055, -3, 0, 1/2
Find g, given that -g**2/3 - 30169*g/3 + 30170/3 = 0.
-30170, 1
Factor 25*w**3 - 217160*w**2 - 999515*w + 434550.
5*(w - 8691)*(w + 5)*(5*w - 2)
Factor u**5 + 43*u**4 + 418*u**3 + 1486*u**2 + 1885*u + 775.
(u + 1)**2*(u + 5)**2*(u + 31)
Solve -3*j**4 - 801*j**3 - 30906*j**2 - 209568*j - 394272 = 0.
-222, -37, -4
Determine c, given that -c**5 + 12251*c**4 - 122443*c**3 + 403989*c**2 - 440676*c = 0.
0, 3, 4, 12241
What is a in a**5 - 171*a**4 + 4310*a**3 - 11250*a**2 - 4311*a + 11421 = 0?
-1, 1, 3, 27, 141
Factor y**5 - 664*y**3 + 8602*y**2 - 21417*y - 82522.
(y - 11)**3*(y + 2)*(y + 31)
What is x in 387*x**4/5 - 10059*x**3/5 - 4350*x**2 - 168*x/5 = 0?
-2, -1/129, 0, 28
Determine i so that 5*i**2 - 21575*i - 43170 = 0.
-2, 4317
Suppose -4*s**3/3 + 7772*s**2 + 93316*s/3 + 23332 = 0. What is s?
-3, -1, 5833
Suppose 2*k**4/5 + 554*k**3/5 + 40752*k**2/5 + 327496*k/5 + 287296/5 = 0. Calculate k.
-134, -8, -1
Factor 7*c**3/2 - 1599*c**2/2 + 7227*c.
c*(c - 219)*(7*c - 66)/2
Find o, given that o**2 - 6398*o - 19203 = 0.
-3, 6401
Determine u so that -324*u**5 + 5516*u**4 - 16660*u**3 - 5100*u**2 + 16984*u - 416 = 0.
-1, 2/81, 1, 4, 13
Factor 3*y**2 - 951*y - 5814.
3*(y - 323)*(y + 6)
Factor 4*z**3 - 428*z**2 + 6320*z + 32384.
4*(z - 88)*(z - 23)*(z + 4)
Factor -5*y**2 + 182160*y + 1275365.
-5*(y - 36439)*(y + 7)
Suppose -5*d**3 + 4470*d**2 - 4455*d - 8930 = 0. Calculate d.
-1, 2, 893
Factor -4*k**2 - 6256*k - 49792.
-4*(k + 8)*(k + 1556)
Suppose -4*g**4 + 1412*g**3 + 12*g**2 - 4228*g - 2824 = 0. Calculate g.
-1, 2, 353
Determine p, given that 4*p**5 + 1100*p**4 + 12728*p**3 + 27304*p**2 - 12732*p - 28404 = 0.
-263, -9, -3, -1, 1
Factor -5*s**5 + 1140*s**4 - 70305*s**3 + 594050*s**2.
-5*s**2*(s - 109)**2*(s - 10)
Solve -6*h**3 - 14421*h**2 + 181239*h + 94224 = 0.
-2416, -1/2, 13
Let -3*q**3 - 3894*q**2 + 3897*q = 0. Calculate q.
-1299, 0, 1
Factor 3*j**2 - 828*j - 56943.
3*(j - 333)*(j + 57)
Factor -20*w**3 - 8*w**2 + 135*w - 63.
-(w + 3)*(2*w - 1)*(10*w - 21)
Factor z**2/2 + 893*z/2 + 891.
(z + 2)*(z + 891)/2
Factor -w**2/3 - 6475*w/3 + 182084/3.
-(w - 28)*(w + 6503)/3
Factor -3*j**3 + 181851*j**2 - 727368*j + 727356.
-3*(j - 60613)*(j - 2)**2
Factor -2*p**3 - 242*p**2 + 1000*p.
-2*p*(p - 4)*(p + 125)
Solve 6*f**4 - 89942*f**3 - 59964*f**2 = 0.
-2/3, 0, 14991
Suppose -2*b**2/3 + 12458*b/3 + 12460/3 = 0. What is b?
-1, 6230
What is i in -i**3 + 572*i**2/5 + 9447*i/5 - 774 = 0?
-15, 2/5, 129
Suppose 3*v**4 - 11121*v**3 + 10222515*v**2 + 155693121*v + 145459482 = 0. What is v?
-14, -1, 1861
Let 2*g**4/15 - 134*g**3/15 - 99074*g**2/15 - 98938*g/15 = 0. Calculate g.
-191, -1, 0, 259
Solve 2*v**4/3 + 2026*v**3/3 + 2024*v**2/3 = 0 for v.
-1012, -1, 0
Determine n so that 66603*n**5 + 25376637*n**4 + 200149617*n**3 + 400169847*n**2 + 5344392*n + 17904 = 0.
-373, -4, -1/149
Solve -y**2/5 - 2821*y + 28214/5 = 0.
-14107, 2
Find m such that 3*m**2/4 + 5553*m/4 + 293058 = 0.
-1608, -243
What is b in -5*b**3 - 41715*b**2 - 83415*b - 41705 = 0?
-8341, -1
Find f such that f**4/3 + 415*f**3/3 - 2092*f**2/3 + 3356*f/3 - 560 = 0.
-420, 1, 2
Factor 5*b**2 - 56445*b + 282100.
5*(b - 11284)*(b - 5)
Let -3*o**4/2 + 695*o**3 - 41837*o**2/2 + 6433*o + 13792 = 0. Calculate o.
-2/3, 1, 32, 431
Suppose -3*r**3 + 156*r**2 - 1467*r - 15066 = 0. What is r?
-6, 27, 31
Factor 4*l**3 + 992*l**2 - 123380*l + 591600.
4*(l - 87)*(l - 5)*(l + 340)
Suppose 20*x**5 - 6029*x**4/3 + 279*x**3 + 6631*x**2/3 - 299*x - 602/3 = 0. What is x?
-1, -1/4, 2/5, 1, 301/3
Determine s, given that 4*s**2/3 - 2306*s/3 - 1154/3 = 0.
-1/2, 577
Factor -2*g**2/3 + 64294*g/3.
-2*g*(g - 32147)/3
Suppose x**2/6 - 22864*x/3 + 15242 = 0. What is x?
2, 45726
Factor -c**3 + 283*c**2 + 1454*c - 4032.
-(c - 288)*(c - 2)*(c + 7)
Factor -3*i**3/2 + 283*i**2/2 - 45*i - 188.
-(i - 94)*(i + 1)*(3*i - 4)/2
Factor -d**5/4 + 9601*d**4/4 - 23030395*d**3/4 - 69148801*d**2/4 - 17292002*d - 5764801.
-(d - 4802)**2*(d + 1)**3/4
Let 4*x**2 + 691192*x + 691188 = 0. What is x?
-172797, -1
Factor -3*l**2 + 1284*l + 6495.
-3*(l - 433)*(l + 5)
Let 2*i**2/5 - 66648*i/5 + 555244488/5 = 0. Calculate i.
16662
Factor 3*x**2 + 146358*x + 1785055347.
3*(x + 24393)**2
Suppose 4*p**5 + 80*p**4 - 3188*p**3 + 10832*p**2 + 12688*p - 44608 = 0. Calculate p.
-41, -2, 2, 4, 17
Factor x**2/6 + 53283*x + 8517234267/2.
(x + 159849)**2/6
What is z in 4*z**3 - 104*z**2 + 352*z = 0?
0, 4, 22
Find k such that -k**2/4 + 477*k/4 - 938 = 0.
8, 469
Determine y, given that -15*y**3 + 114*y**2 + 1467*y + 2970 = 0.
-22/5, -3, 15
Let 3*r**3/2 - 75*r**2 + 561*r/2 - 207 = 0. Calculate r.
1, 3, 46
Solve 26*a**3/11 + 760*a**2/11 + 174*a/11 = 0 for a.
-29, -3/13, 0
Factor 2*h**2/7 + 423336*h/7 + 22401671112/7.
2*(h + 105834)**2/7
Solve -2*z**3/9 - 1378*z**2/3 - 271864*z/9 = 0 for z.
-1999, -68, 0
Find i such that 2*i**4/5 + 4908*i**3/5 - 9822*i**2/5 + 4912*i/5 = 0.
-2456, 0, 1
Factor -y**2/2 + 3523*y/2 - 54126.
-(y - 3492)*(y - 31)/2
Factor -i**2/2 + 352*i + 65321/2.
-(i - 787)*(i + 83)/2
Suppose -h**5 - 699*h**4 + 708*h**3 + 5588*h**2 - 8400*h = 0. What is h?
-700, -3, 0, 2
Determine g, given that g**5/8 + 2*g**4 - 7*g**3 - 147*g**2/4 + 1143*g/8 - 405/4 = 0.
-18, -5, 1, 3
Factor -2*y**2/13 - 2918*y/13 - 2916/13.
-2*(y + 1)*(y + 1458)/13
Suppose -h**5/4 - h**4 + 87*h**3/4 + 251*h**2/2 + 94*h - 240 = 0. Calculate h.
-8, -4, -3, 1, 10
Factor -3*q**3 - 1263*q**2 + 118695*q - 2536629.
-3*(q - 41)**2*(q + 503)
Let 64*j**5 + 111776*j**4 + 167524*j**3 + 6956*j**2 - 41876*j + 6980 = 0. What is j?
-1745, -1, 1/4
Factor c**4 + 128*c**3 - 1088*c**2.
c**2*(c - 8)*(c + 136)
Suppose -3*r**2 - 120630*r - 1212633075 = 0. What is r?
-20105
Factor -12*a**3 - 6932*a**2 - 18416*a - 9200.
-4*(a + 2)*(a + 575)*(3*a + 2)
Let 2*p**4/13 - 165636*p**3/13 + 3429576194*p**2/13 - 6858655488*p/13 + 3429244928/13 = 0. Calculate p.
1, 41408
Factor 4*n**3 + 580*n**2 - 3024*n - 3600.
4*(n - 6)*(n + 1)*(n + 150)
Factor 13*u**2 + 263*u + 250.
(u + 1)*(13*u + 250)
Factor -3*k**3 - 99354*k**2 + 198717*k - 99360.
-3*(k - 1)**2*(k + 33120)
Suppose -2*m**4/5 - 4576*m**3 + 22890*m**2 = 0. What is m?
-11445, 0, 5
Factor y**4 + 8010*y**3 + 24024*y**2 + 24022*y + 8007.
(y + 1)**3*(y + 8007)
Find d such that -4*d**3 + 1272*d**2 - 74340*d - 4511376 = 0.
-36, 177
Factor -2*x**2/19 - 17158*x/19 + 17160/19.
-2*(x - 1)*(x + 8580)/19
Solve 2*u**2/3 + 335600*u/3 + 14078420000/3 = 0 for u.
-83900
Factor -o**2/2 + 197*o/2 + 99.
-(o - 198)*(o + 1)/2
Factor -782265*a**3 + 285549*a**2 - 26256*a + 36.
-3*(11*a - 2)**2*(2155*a - 3)
Factor 2*q**3/3 - 1640*q**2/3 + 6488*q - 19392.
2*(q - 808)*(q - 6)**2/3
Factor m**2/2 + 997842*m + 497844328482.
(m + 997842)**2/2
Factor -p**3 - 444*p**2 - 1755*p + 2200.
-(p - 1)*(p + 5)*(p + 440)
Factor -z**3/6 + 3*z**2/2 + z/6 - 35/2.
-(z - 7)*(z - 5)*(z + 3)/6
Factor -n**3/5 + 6446*n**2/5 - 25768*n/5.
-n*(n - 6442)*(n - 4)/5
Factor 3*z**3 - 140823*z**2 + 1652522697*z + 1652663523.
3*(z - 23471)**2*(z + 1)
Let -2*j**5/5 + 534*j**4/5 - 36288*j**3/5 + 13376*j**2 + 2416128*j/5 + 6133248/5 = 0. What is j?
-4, 11, 132
Solve -p**5 - 613*p**4 - 94239*p**3 - 88119*p**2 + 848232*p + 842724 = 0.
-306, -3, -1, 3
What is j in -4*j**2 - 4200*j - 12564 = 0?
-1047, -3
Find c s