 + 6546*w**2 - 69454*w + 114308.
2*(w - 41)**2*(w - 17)*(w - 2)
Determine z, given that 4*z**2/7 - 6264*z/7 + 344052/7 = 0.
57, 1509
Factor -2*c**2 + 24380*c.
-2*c*(c - 12190)
Factor 5*z**4 - 80*z**3 - 1205*z**2 + 18080*z + 19200.
5*(z - 16)**2*(z + 1)*(z + 15)
Solve x**3/3 - 9*x**2 - 88*x - 560/3 = 0 for x.
-4, 35
Factor -2*a**2 + 427036*a - 22794968162.
-2*(a - 106759)**2
Factor 4*i**3 - 2048*i**2 + 204544*i.
4*i*(i - 376)*(i - 136)
Suppose 5*k**2 - 10870*k + 10865 = 0. What is k?
1, 2173
Suppose -4*t**2 - 3904*t + 430400 = 0. What is t?
-1076, 100
Factor -2*f**3 - 244*f**2 - 7530*f - 20448.
-2*(f + 3)*(f + 48)*(f + 71)
Suppose -25*q**4/4 - 2095*q**3/4 - 32653*q**2/4 + 6783*q/4 + 1323/2 = 0. What is q?
-63, -21, -1/5, 2/5
Suppose -t**4/4 + 45*t**3/4 - 167*t**2 + 909*t - 1620 = 0. What is t?
4, 5, 18
Determine b so that -b**5 + 16*b**4 + 2146*b**3 - 16*b**2 - 2145*b = 0.
-39, -1, 0, 1, 55
Factor 2*t**3/11 + 190*t**2/11 + 2712*t/11 + 4680/11.
2*(t + 2)*(t + 15)*(t + 78)/11
Let 64*p**3 - 828*p**2 + 1868*p + 120 = 0. What is p?
-1/16, 3, 10
Factor 2*k**3/5 + 248*k**2 + 19456*k/5 + 77312/5.
2*(k + 8)**2*(k + 604)/5
Solve 15*l**2 - 31329*l - 581532 = 0.
-92/5, 2107
Factor -g**3/4 + g**2 + 117*g/4.
-g*(g - 13)*(g + 9)/4
Suppose -l**4/5 - 488*l**3/5 - 3171*l**2 = 0. What is l?
-453, -35, 0
Factor l**5/2 + 47312*l**4 + 1119165359*l**3 - 2238472656*l**2 + 2238519969*l/2.
l*(l - 1)**2*(l + 47313)**2/2
Factor 2*z**2/11 - 76*z/11 + 74/11.
2*(z - 37)*(z - 1)/11
Factor 20*r**5 - 76*r**4 - 72*r**3 + 656*r**2 - 928*r + 384.
4*(r - 2)**3*(r + 3)*(5*r - 4)
Factor -6*m**3 - 429*m**2 + 3534*m - 1659.
-3*(m - 7)*(m + 79)*(2*m - 1)
Suppose 363*c**2/7 - 61050*c/7 + 2566875/7 = 0. What is c?
925/11
Let -5*r**2 - 381360*r - 1144035 = 0. What is r?
-76269, -3
Let 9*h**5 + 771*h**4/5 - 921*h**3/5 - 3687*h**2/5 + 4548*h/5 - 756/5 = 0. What is h?
-18, -7/3, 1/5, 1, 2
Suppose 6*c**4 - 246844*c**3/5 - 707878*c**2/5 + 98772*c/5 = 0. What is c?
-3, 0, 2/15, 8231
Factor b**3/7 + 390*b**2/7 - 397*b/7 - 2346/7.
(b - 3)*(b + 2)*(b + 391)/7
Factor 264*s**2 - 1317*s - 15.
3*(s - 5)*(88*s + 1)
Factor -3*o**2 - 14640*o - 17860800.
-3*(o + 2440)**2
Determine j, given that j**3 - 1434*j**2 + 5724*j - 5720 = 0.
2, 1430
Factor 4*q**2/5 - 6512*q/5 - 125172/5.
4*(q - 1647)*(q + 19)/5
Factor -18*u**4 - 61179*u**3 + 122412*u**2 - 61215*u.
-3*u*(u - 1)**2*(6*u + 20405)
Find y, given that -3*y**4/4 - 17031*y**3/4 = 0.
-5677, 0
Suppose x**5/6 + x**4/6 - 3*x**3/2 - x**2/6 + 10*x/3 - 2 = 0. Calculate x.
-3, -2, 1, 2
What is a in -2*a**2 - 15024*a - 60064 = 0?
-7508, -4
Find y such that -y**3/3 - 5656*y**2/3 + 3772*y = 0.
-5658, 0, 2
Factor -x**3/5 - 649*x**2/5 + 19662*x/5.
-x*(x - 29)*(x + 678)/5
Solve -2*z**3/11 + 964*z**2 - 274240*z/11 - 590912/11 = 0.
-2, 28, 5276
Factor -g**3/3 - 15654*g**2.
-g**2*(g + 46962)/3
Solve -845*x**4 + 72150*x**3 - 27185*x**2 - 37320*x - 6800 = 0.
-4/13, 1, 85
Factor 5*b**5 + 325*b**4 - 2840*b**3 + 5840*b**2.
5*b**2*(b - 4)**2*(b + 73)
Determine q so that 2673*q**4 + 187866*q**3 + 1362444*q**2 - 633480*q + 71424 = 0.
-62, -96/11, 2/9
Find w, given that -w**3 + 134*w**2 - 2861*w - 2996 = 0.
-1, 28, 107
Solve 3*i**2 - 228*i - 282111 = 0.
-271, 347
Suppose -j**4/5 + 171*j**3/5 - 166*j**2 = 0. Calculate j.
0, 5, 166
What is i in -i**4/5 - 3346*i**3/5 - 2792229*i**2/5 + 2241820*i - 2244500 = 0?
-1675, 2
Let -35*r**2 + 4595*r - 5850 = 0. What is r?
9/7, 130
Solve 2*t**2 + 704380*t + 62018898050 = 0 for t.
-176095
Suppose -v**2/2 - 696*v + 1394 = 0. Calculate v.
-1394, 2
Let 3*t**4/2 - 393*t**3 + 53019*t**2/2 - 99846*t = 0. Calculate t.
0, 4, 129
Find o, given that -4*o**5/7 - 32*o**4/7 + 360*o**3/7 + 2592*o**2/7 - 2916*o/7 = 0.
-9, 0, 1, 9
Let 4*d**4/3 - 416*d**3/3 = 0. Calculate d.
0, 104
Let -2*f**4 + 36*f**3 + 40*f**2 - 1188*f - 1190 = 0. Calculate f.
-5, -1, 7, 17
Let 93*y**4 - 105*y**3 + 12*y**2 = 0. What is y?
0, 4/31, 1
Find q such that -2*q**3 + 130*q**2 + 7408*q + 14280 = 0.
-35, -2, 102
Factor 16*w**4 - 3000*w**3 + 175825*w**2 - 3300000*w + 19360000.
(w - 80)**2*(4*w - 55)**2
Suppose -3*a**4 - 1302*a**3 - 27051*a**2 + 58020*a - 29664 = 0. What is a?
-412, -24, 1
Let -4575*j**4 - 160131*j**3/7 - 224205*j**2/7 - 13731*j - 18/7 = 0. What is j?
-3, -1, -2/10675
Let 2*p**4/3 - 96*p**3 - 8*p**2/3 + 384*p = 0. What is p?
-2, 0, 2, 144
Factor -3*m**3 + 964*m**2 + 26669*m + 17350.
-(m - 347)*(m + 25)*(3*m + 2)
Factor 2*i**2 + 622*i + 46116.
2*(i + 122)*(i + 189)
Let -15*n**2 + 439190*n - 878320 = 0. Calculate n.
2, 87832/3
Solve 2*j**3/5 - 716*j**2 - 50446*j/5 - 119064/5 = 0 for j.
-11, -3, 1804
Factor n**2/3 - 107*n - 62746/3.
(n - 458)*(n + 137)/3
Factor 4*s**2 - 598528*s + 22389735424.
4*(s - 74816)**2
Suppose -s**2 + 4550*s - 144576 = 0. What is s?
32, 4518
Factor 2*v**3 - 318*v**2 - 6338*v - 6018.
2*(v - 177)*(v + 1)*(v + 17)
Factor w**3/4 - w**2 - 165*w/4 - 108.
(w - 16)*(w + 3)*(w + 9)/4
Find q such that -4*q**4 - 26008*q**3 - 35093668*q**2 + 23349774336*q - 3224121901056 = 0.
-3507, 256
Solve -c**3 + 3039*c**2 + 98212*c + 184260 = 0 for c.
-30, -2, 3071
Factor -2*g**2/9 + 2758*g/9 + 5540/3.
-2*(g - 1385)*(g + 6)/9
Factor -242*g**2/15 - 5984*g/15 - 36992/15.
-2*(11*g + 136)**2/15
Determine j so that 5*j**3/2 - 685*j**2 + 16120*j = 0.
0, 26, 248
Factor 4*s**3 + 300928*s**2 - 601868*s + 300936.
4*(s - 1)**2*(s + 75234)
Let -t**2/5 + 73*t/5 + 372 = 0. Calculate t.
-20, 93
Factor -g**3/6 + 1403*g**2/3 - 985606*g/3 + 1965604/3.
-(g - 1402)**2*(g - 2)/6
Suppose 3*a**2 + 699*a + 17220 = 0. Calculate a.
-205, -28
Factor -5*l**2 - 3313640*l - 549010502480.
-5*(l + 331364)**2
Solve -2*h**3 + 862*h**2 - 90136*h - 91000 = 0 for h.
-1, 182, 250
Factor -i**3/2 + 10630*i**2 + 42526*i + 42528.
-(i - 21264)*(i + 2)**2/2
Factor -2*m**2/19 + 370*m/19 + 29400/19.
-2*(m - 245)*(m + 60)/19
Factor -3*r**4 + 768*r**3 + 4680*r**2 + 9408*r + 6288.
-3*(r - 262)*(r + 2)**3
Solve -3*m**4/7 + 375*m**3/7 + 15177*m**2/7 - 16287*m/7 - 31086/7 = 0.
-33, -1, 2, 157
Factor -30*y**2 - 1225*y + 7130.
-5*(y + 46)*(6*y - 31)
Let -7*q**2 - 401*q - 3870 = 0. What is q?
-45, -86/7
What is n in 6*n**5 - 50*n**4 - 116*n**3 + 536*n**2 + 368*n - 1344 = 0?
-3, -2, 2, 28/3
Factor -2*h**2/5 + 230*h - 21840.
-2*(h - 455)*(h - 120)/5
Factor 35*y**2 + 934195*y + 266910.
5*(y + 26691)*(7*y + 2)
Solve -148*t**4 + 5784*t**3 - 75504*t**2 + 331240*t - 26364 = 0 for t.
3/37, 13
Factor c**4/2 - 43*c**3/2 - 1365*c**2.
c**2*(c - 78)*(c + 35)/2
Suppose 5*o**3 + 5595*o**2 + 1522395*o - 24111675 = 0. What is o?
-567, 15
Factor -3*f**2 - 2553*f - 356400.
-3*(f + 176)*(f + 675)
Determine r, given that 3*r**4/2 + 22149*r**3/2 - 66465*r**2/2 + 66471*r/2 - 11079 = 0.
-7386, 1
Let 9*a**3 - 215763*a**2 - 71928*a + 143844 = 0. What is a?
-1, 2/3, 23974
Factor -d**3 + 332*d**2 - 36736*d + 1354752.
-(d - 112)**2*(d - 108)
Let -3*k**4 - 525*k**3 - 6396*k**2 - 12516*k + 19440 = 0. Calculate k.
-162, -10, -4, 1
Let 18*g**3/11 + 2087598*g**2/11 + 1391726*g/11 + 231954/11 = 0. What is g?
-115977, -1/3
Factor -3*j**2/4 - 14679*j/4 + 7341/2.
-3*(j - 1)*(j + 4894)/4
Determine x so that 15*x**5/2 + 290*x**4 - 424785*x**3 + 34008750*x**2 - 22578125*x/2 = 0.
-289, 0, 1/3, 125
Determine h, given that 3*h**3 - 24624*h**2 + 50528448*h = 0.
0, 4104
Suppose -2*q**5/3 - 1672*q**4 - 24988*q**3/3 + 105080*q**2/3 - 38374*q + 40048/3 = 0. Calculate q.
-2503, -8, 1
Factor 46*o**2 - 84*o - 16.
2*(o - 2)*(23*o + 4)
Let -5985*o**4 + 489350*o**3 + 6239075*o**2 + 1454300*o + 20460 = 0. What is o?
-11, -2/9, -2/133, 93
Let -a**5 - 3*a**4 + 22*a**3 + 56*a**2 - 96*a - 128 = 0. Calculate a.
-4, -1, 2, 4
Let 3*t**3/4 + 30987*t**2/4 + 61965*t/4 + 30981/4 = 0. What is t?
-10327, -1
Factor -3*w**2 + 45792*w - 137349.
-3*(w - 15261)*(w - 3)
Factor 5*f**3 - 290*f**2 + 3405*f - 7740.
5*(f - 43)*(f - 12)*(f - 3)
Factor -6*i**4/5 - 58152*i**3/5 - 140844132*i**2/5 + 281862744*i/5 - 140960454/5.
-6*(i - 1)**2*(i + 4847)**2/5
Factor -4*q**3 - 560*q**2 - 15084*q - 40320.
-4*(q + 3)*(q + 32)*(q + 105)
Let 2*k**2 - 93064*k + 186120 = 0. Calculate k.
2, 46530
Factor -2*d**2/11 + 9958*d/11 + 49840/11.
-2*(d - 4984)*(d + 5)/11
Factor 3*f**2/7 - 30*f - 34632/7.
3*(f - 148)*(f + 78)/7
Find t such that -3*t**3 - 5055*t**2/4 + 35901*t/4 - 15417/2 = 0.
-1713/4, 1, 6
Solve -3*q**2/4 - 