given that -4*h**2 + 288976*h - 288972 = 0.
1, 72243
Factor 4*t**3/3 + 1448*t**2/3 - 32560*t + 506400.
4*(t - 30)**2*(t + 422)/3
Suppose -3*a**5/7 + 19*a**4/7 - 3*a**3/7 - 163*a**2/7 + 270*a/7 - 72/7 = 0. What is a?
-3, 1/3, 2, 3, 4
Solve -f**2/2 - 10770*f - 107650 = 0 for f.
-21530, -10
Determine b so that 3*b**3 - 57513*b**2 + 57510*b = 0.
0, 1, 19170
Factor j**3/11 - 28*j**2/11 + 92*j/11 + 80.
(j - 22)*(j - 10)*(j + 4)/11
Solve 5*n**2 + 5945*n - 23860 = 0 for n.
-1193, 4
Factor 2*w**3/11 + 3330*w**2/11 + 13296*w/11 + 1208.
2*(w + 2)**2*(w + 1661)/11
Factor -3*y**2 + 1359*y + 29862.
-3*(y - 474)*(y + 21)
Factor -i**2 - 339*i + 57412.
-(i - 124)*(i + 463)
Find m such that 20*m**4 + 1415*m**3 + 9965*m**2 + 12540*m - 3780 = 0.
-63, -6, -2, 1/4
Factor 16*d**4/9 - 2104*d**3/9 + 348*d**2 - 1562*d/9 + 260/9.
2*(d - 130)*(2*d - 1)**3/9
Factor -3*j**4 - 768*j**3 + 163878*j**2 + 27267840*j - 3781815075.
-3*(j - 135)**2*(j + 263)**2
Suppose 2*x**2/5 + 1656344*x/5 + 342934430792/5 = 0. Calculate x.
-414086
Solve 2*n**5/19 + 2040*n**4/19 + 520198*n**3/19 - 2040*n**2/19 - 520200*n/19 = 0.
-510, -1, 0, 1
Determine y, given that -27*y**3 + 4164*y**2 - 4137*y = 0.
0, 1, 1379/9
Solve 6*o**2 + 31924*o + 21280 = 0.
-5320, -2/3
Find v such that -3*v**5/7 + 99*v**4/7 - 1149*v**3/7 + 5589*v**2/7 - 11016*v/7 + 6480/7 = 0.
1, 3, 5, 12
Solve o**3/2 + 24*o**2 + 93*o/2 + 23 = 0 for o.
-46, -1
Factor -z**2/2 - 197691*z - 39081731481/2.
-(z + 197691)**2/2
Factor 3*h**2/5 - 723*h/5 - 40608/5.
3*(h - 288)*(h + 47)/5
Suppose j**4/4 - 785*j**3/4 + 763*j**2/4 + 16509*j/4 - 8820 = 0. What is j?
-5, 3, 784
Let z**2 - 122630*z + 245256 = 0. Calculate z.
2, 122628
Factor 3*b**4 - 219*b**3 - 711*b**2 + 2067*b - 1140.
3*(b - 76)*(b - 1)**2*(b + 5)
What is o in 5*o**2 - 5025*o + 98500 = 0?
20, 985
Find d such that -3*d**2 + 28521*d/2 - 14259/2 = 0.
1/2, 4753
Find x, given that 5*x**3 - 147*x**2 + 198*x - 56 = 0.
2/5, 1, 28
Solve -4*k**2 - 7188*k - 322184 = 0.
-1751, -46
Let 5*d**5 + 48*d**4 - 180*d**3 - 416*d**2 + 192*d = 0. What is d?
-12, -2, 0, 2/5, 4
Let 2*z**4 + 350*z**3 + 1712*z**2 + 2040*z = 0. What is z?
-170, -3, -2, 0
Let 2*h**4 - 13482*h**3 - 162072*h**2 = 0. Calculate h.
-12, 0, 6753
Find m, given that -2*m**3/15 - 36126*m**2 - 2447130080*m - 36704241800/3 = 0.
-135470, -5
Factor -4*c**5 - 20636*c**4 + 41284*c**3 - 20644*c**2.
-4*c**2*(c - 1)**2*(c + 5161)
What is l in -49*l**3 + 7446*l**2 - 282720*l - 11552 = 0?
-2/49, 76
Factor -p**3/4 - 4946*p**2 + 9893*p.
-p*(p - 2)*(p + 19786)/4
Factor 5*c**4 + 4341*c**3 - 12186*c**2 + 6968*c.
c*(c - 2)*(c + 871)*(5*c - 4)
What is z in 5*z**5 + 53550*z**4 - 160680*z**3 + 160690*z**2 - 53565*z = 0?
-10713, 0, 1
Determine v, given that 4*v**2 + 27856*v - 27860 = 0.
-6965, 1
Factor 2*z**3 - 2898*z**2 - 143712*z.
2*z*(z - 1497)*(z + 48)
What is u in 3*u**4 + 2141*u**3 - 20336*u**2 - 66564*u - 34704 = 0?
-723, -2, -2/3, 12
Factor g**5/5 - g**4 - 8*g**3/5 + 12*g**2/5.
g**2*(g - 6)*(g - 1)*(g + 2)/5
Suppose -3*b**2 - 1308*b - 2604 = 0. What is b?
-434, -2
Factor 3*i**2/2 + 3819*i - 7644.
3*(i - 2)*(i + 2548)/2
Solve -2*k**2/3 + 1000516*k/3 - 125129033282/3 = 0 for k.
250129
Determine g, given that 2*g**5/7 + 106210*g**4/7 + 637206*g**3/7 + 955782*g**2/7 = 0.
-53099, -3, 0
Factor 2*t**5/5 - 132*t**4 + 56394*t**3/5 - 64152*t**2 + 472392*t/5.
2*t*(t - 162)**2*(t - 3)**2/5
Determine w so that 3*w**2/4 - 1161*w/4 + 864 = 0.
3, 384
Let 60*r**5 - 55328*r**4 + 12757136*r**3 - 316968*r**2 - 318965900*r + 42504200 = 0. What is r?
-5, 2/15, 5, 461
Factor -3*m**3/4 + 1257*m**2/2 + 3*m/4 - 1257/2.
-3*(m - 838)*(m - 1)*(m + 1)/4
Suppose n**2 + 3258*n = 0. What is n?
-3258, 0
Factor -h**3/4 + 917*h**2/2 - 1073305*h/4 + 50808600.
-(h - 864)*(h - 485)**2/4
Suppose -3*p**3 - 48*p**2 + 81*p + 1890 = 0. Calculate p.
-15, -7, 6
Suppose -4*f**5 + 5012*f**4 - 1521568*f**3 - 30416304*f**2 - 103245696*f - 97079040 = 0. What is f?
-15, -2, 636
Determine f so that 2*f**4/7 + 30*f**3 + 188*f**2/7 - 2064*f/7 + 1664/7 = 0.
-104, -4, 1, 2
Suppose 3*g**5 - 467*g**4 + 5278*g**3 + 22236*g**2 + 10424*g - 18304 = 0. Calculate g.
-2, 2/3, 16, 143
What is b in 18*b**3/7 - 5020*b**2/7 + 9414*b/7 + 1108/7 = 0?
-1/9, 2, 277
Find r, given that 14*r**4 - 8614*r**3 + 62212*r**2 - 119216*r + 29184 = 0.
2/7, 3, 4, 608
Determine x, given that 4*x**5 - 276*x**4 + 4960*x**3 - 35664*x**2 + 101632*x - 70656 = 0.
1, 6, 8, 46
Find z such that 3*z**3 + 1406*z**2 - 8565*z - 9968 = 0.
-1424/3, -1, 7
Factor 3*s**2 - 26079*s - 78264.
3*(s - 8696)*(s + 3)
Solve -4*n**3 - 372*n**2 + 3168*n - 6464 = 0.
-101, 4
Let x**4/3 - 44*x**3/3 - 9*x**2 + 378*x + 792 = 0. Calculate x.
-3, 6, 44
Determine y, given that 1875*y**5 + 160550*y**4 - 224470*y**3 - 37600*y**2 + 97035*y + 2610 = 0.
-87, -3/5, -2/75, 1
Determine l so that 2*l**5/13 - 694*l**4/13 - 6360*l**3/13 - 17048*l**2/13 - 14240*l/13 = 0.
-5, -2, 0, 356
Let 3*z**2 + 939*z + 41958 = 0. Calculate z.
-259, -54
Suppose 578*v**3/11 - 12818*v**2/11 + 14480*v/11 - 4200/11 = 0. What is v?
10/17, 21
Factor 4*s**3 - 4634148*s**2 + 1342210297440*s - 1342205663296.
4*(s - 579268)**2*(s - 1)
Factor -2*v**4 - 1930*v**3 - 3852*v**2.
-2*v**2*(v + 2)*(v + 963)
Determine w so that -w**4/5 - 396*w**3/5 - 48294*w**2/5 - 423964*w - 4443405 = 0.
-215, -83, -15
Suppose -27*v**3 + 4893*v**2 + 131754*v - 29520 = 0. What is v?
-24, 2/9, 205
Factor -2*n**3/17 - 3018*n**2/17 + 6042*n/17 - 3022/17.
-2*(n - 1)**2*(n + 1511)/17
Factor i**2/3 + 8105*i/3 - 2702.
(i - 1)*(i + 8106)/3
Solve -2*u**4/9 + 22348*u**3/9 - 62518448*u**2/9 + 166291516*u/3 - 48486494 = 0.
1, 7, 5583
Find w such that -w**3/2 - 31624*w**2 - 252968*w - 505920 = 0.
-63240, -4
Determine x, given that -x**2 + 3933*x + 75088 = 0.
-19, 3952
Factor -48422720*x**2 - 410784*x - 4356/5.
-4*(7780*x + 33)**2/5
Factor x**2 - 2738*x.
x*(x - 2738)
Suppose b**4/2 + 89*b**3/2 + 175*b**2/2 + 87*b/2 = 0. What is b?
-87, -1, 0
Suppose -3*o**5 + 12366*o**4 - 12743163*o**3 = 0. Calculate o.
0, 2061
Solve c**2/2 - 98723*c + 9746230729/2 = 0 for c.
98723
What is h in 4*h**4/7 + 216*h**3 - 10716*h**2/7 + 24592*h/7 - 2640 = 0?
-385, 2, 3
Factor p**2/3 - 142198*p/3 + 5055067801/3.
(p - 71099)**2/3
Factor 16648*c**3/7 - 10*c**2/7.
2*c**2*(8324*c - 5)/7
Factor u**3/8 - 305*u**2/8 + 11261*u/4 - 10659.
(u - 187)*(u - 114)*(u - 4)/8
Find x such that -4*x**2 - 2600*x + 56364 = 0.
-671, 21
Factor -4*s**2 + 1036*s + 4208.
-4*(s - 263)*(s + 4)
Factor -3*b**3/7 + 582*b**2/7 - 27435*b/7 + 380556/7.
-3*(b - 132)*(b - 31)**2/7
Factor 3*o**2/4 + 374850*o + 46837507500.
3*(o + 249900)**2/4
Find s, given that 165*s**4/2 + 954*s**3 + 789*s**2 - 954*s - 1743/2 = 0.
-581/55, -1, 1
What is v in 3*v**5/5 + 138*v**4/5 - 774*v**3/5 - 408*v**2/5 + 2571*v/5 - 306 = 0?
-51, -2, 1, 5
Determine z, given that 26*z**5/11 + 360*z**4/11 - 368*z**3/11 - 9052*z**2/11 - 7050*z/11 + 1300/11 = 0.
-13, -5, -1, 2/13, 5
Factor -4*t**2/3 + 1528*t + 4588/3.
-4*(t - 1147)*(t + 1)/3
Find r, given that 15*r**5 + 618*r**4 - 43179*r**3 - 9150*r**2 + 34632*r = 0.
-78, -1, 0, 4/5, 37
Find y such that -y**3/6 - 3184*y**2/3 - 3381407*y/2 - 3377163 = 0.
-3183, -2
Factor -q**3/3 + 527*q**2 + 6337*q/3 + 1585.
-(q - 1585)*(q + 1)*(q + 3)/3
Solve -21*h**4/4 + 215643*h**3/4 + 894075*h**2/2 + 123324*h = 0 for h.
-8, -2/7, 0, 10277
What is q in 4*q**5/7 - 16*q**4/7 - 8867*q**3/7 + 94877*q**2/7 - 88220*q/7 + 21500/7 = 0?
-50, 1/2, 10, 43
Factor i**3 + 4371*i**2 + 17471*i + 13101.
(i + 1)*(i + 3)*(i + 4367)
Solve 4*a**5/3 - 16*a**4 - 112*a**3 + 2008*a**2/3 + 1604*a + 840 = 0.
-7, -1, 6, 15
Solve -2*u**3/7 + 12326*u**2/7 + 37004*u/7 - 49328/7 = 0 for u.
-4, 1, 6166
Factor 2*n**4/19 + 640*n**3/19 - 102*n**2.
2*n**2*(n - 3)*(n + 323)/19
What is l in 2*l**5/11 + 100*l**4/11 + 742*l**3/11 - 4*l**2/11 - 6744*l/11 + 5904/11 = 0?
-41, -6, 1, 2
Suppose f**3/4 - 3964*f**2 - 15859*f/4 + 15857/2 = 0. Calculate f.
-2, 1, 15857
Suppose 2*d**4 - 1688*d**3 + 59040*d**2 - 701568*d + 2792448 = 0. Calculate d.
12, 808
Factor 4*d**2/3 + 931*d/6 - 2303/2.
(d - 7)*(8*d + 987)/6
Factor 256*g**4 - 40896*g**3 - 481680*g**2 - 1833300*g - 2308500.
4*(g - 171)*(4*g + 15)**3
Determine c, given that -3*c**4 - 8430*c**3 - 6198291*c**2 - 383446764*c = 0.
-1371, -68, 0
Factor k**2 - 34862*k + 303839761.
(k - 17431)**2
What 