4761)**2/2
Factor -p**3 + p**2 + 2*p.
-p*(p - 2)*(p + 1)
Determine n so that -n**2/6 - 12*n + 4945/6 = 0.
-115, 43
Factor 3*s**3 + 39*s**2 + 30*s - 72.
3*(s - 1)*(s + 2)*(s + 12)
Factor 3*f**2 + 924126*f + 71167405323.
3*(f + 154021)**2
Suppose -4*b**5 + 2039*b**4 + 8734*b**3 + 2056*b**2 = 0. Calculate b.
-4, -1/4, 0, 514
Factor -5*s**3 + 26280*s**2 + 606875*s + 1108590.
-5*(s - 5279)*(s + 2)*(s + 21)
Factor -3*y**3/7 - 198*y**2/7 + 1515*y/7 - 1314/7.
-3*(y - 6)*(y - 1)*(y + 73)/7
Factor w**4/4 - 30171*w**3/2 + 910289241*w**2/4.
w**2*(w - 30171)**2/4
Factor 85*t**3/6 - 283*t**2 - 5905*t/6 - 23.
(t - 23)*(t + 3)*(85*t + 2)/6
Find b such that b**4/7 - 631*b**3/7 + 99224*b**2/7 + 99856*b/7 = 0.
-1, 0, 316
Let -w**2/4 + 1567*w/2 + 3135/4 = 0. What is w?
-1, 3135
Factor y**4/9 + 253*y**3/9.
y**3*(y + 253)/9
Let -2*w**4/5 + 62*w**3/5 - 596*w**2/5 + 2184*w/5 - 2448/5 = 0. Calculate w.
2, 6, 17
Factor 2*v**2/7 + 1800*v/7 - 7232/7.
2*(v - 4)*(v + 904)/7
Factor -3*y**2/7 + 4155*y - 87228/7.
-3*(y - 9692)*(y - 3)/7
Determine x so that 709*x**4 + 17727*x**3 + 101437*x**2 - 119535*x - 338 = 0.
-13, -2/709, 1
Find i, given that 2*i**5/9 + 482*i**4/3 - 15082*i**3/3 - 49574*i**2/9 + 31124*i/3 = 0.
-753, -2, 0, 1, 31
Determine t so that 10*t**3/11 - 14368*t**2/11 - 46056*t/11 - 34560/11 = 0.
-2, -6/5, 1440
Find r, given that 3*r**4 - 3870*r**3 - 519096*r**2 - 16325442*r + 16848405 = 0.
-63, 1, 1415
Factor 4*p**4 - 428*p**3 - 4584*p**2 - 11232*p.
4*p*(p - 117)*(p + 4)*(p + 6)
Factor 5*p**2/3 + 2000*p/3 - 223405/3.
5*(p - 91)*(p + 491)/3
Factor 3*g**2 - 1236*g + 58905.
3*(g - 357)*(g - 55)
Find d such that -4*d**3 - 35628*d**2 + 142564*d - 106932 = 0.
-8911, 1, 3
Suppose g**2/3 + 452*g/3 - 8000 = 0. Calculate g.
-500, 48
Factor -o**3 - 61227*o**2 + o + 61227.
-(o - 1)*(o + 1)*(o + 61227)
Suppose 4*u**5 + 88*u**4 - 764*u**3 - 2336*u**2 + 6592*u - 3584 = 0. What is u?
-28, -4, 1, 8
Factor 28*w**4 - 9864*w**3 + 870144*w**2 - 247808*w.
4*w*(w - 176)**2*(7*w - 2)
Suppose 2*j**5 - 274*j**4 + 4304*j**3 + 337248*j**2 + 3967488*j + 13547520 = 0. What is j?
-15, -8, 84
Let 2*u**5 - 46*u**4 + 306*u**3 - 818*u**2 + 892*u - 336 = 0. Calculate u.
1, 3, 4, 14
Factor 5*g**3 - 2355*g**2 + 62595*g - 254725.
5*(g - 443)*(g - 23)*(g - 5)
Factor -2*a**2/9 + 1654*a/9 - 19988/3.
-2*(a - 789)*(a - 38)/9
Suppose 3*g**3/8 + 7179*g**2/8 - 93483*g/2 = 0. Calculate g.
-2444, 0, 51
Factor 233289*q**3/4 + 701799*q**2/4 + 1450*q + 3.
(q + 3)*(483*q + 2)**2/4
Factor k**2/6 + 28795*k/6.
k*(k + 28795)/6
Factor 26*v**2 - 1370*v + 936.
2*(v - 52)*(13*v - 9)
Find a, given that -a**3 + 4251*a**2 - 4489992*a - 59090512 = 0.
-13, 2132
Suppose -2*v**5/5 + 172*v**4/5 - 4184*v**3/5 + 21136*v**2/5 - 7936*v + 5120 = 0. What is v?
2, 40
Solve 10*u**3 - 6694*u**2 + 1118230*u + 673350 = 0 for u.
-3/5, 335
Factor -2*s**2 + 172*s - 2130.
-2*(s - 71)*(s - 15)
Solve 4*x**2/11 - 35239*x/11 - 8810/11 = 0 for x.
-1/4, 8810
Suppose -f**4 + 63*f**3 + 21*f**2 - 1303*f - 1260 = 0. Calculate f.
-4, -1, 5, 63
Factor 2*x**2 - 9556*x - 19120.
2*(x - 4780)*(x + 2)
Solve -4*r**4 - 72*r**3 + 6180*r**2 + 140072*r + 133824 = 0 for r.
-34, -24, -1, 41
Solve m**5 - 583*m**4 + 2321*m**3 - 2897*m**2 + 1158*m = 0.
0, 1, 2, 579
Determine p, given that -3*p**2 + 4839*p + 147870 = 0.
-30, 1643
Solve -2*k**3/11 - 24*k**2/11 + 2304*k/11 + 41472/11 = 0.
-24, 36
Factor 2*b**2/13 - 1124*b/13.
2*b*(b - 562)/13
Factor 3*n**3 - 459*n**2 + 4362*n - 10296.
3*(n - 143)*(n - 6)*(n - 4)
Factor -2*r**2/11 + 136*r/11 - 512/11.
-2*(r - 64)*(r - 4)/11
Determine t, given that 12*t**4 + 1972*t**3 + 9964*t**2 - 33972*t - 41976 = 0.
-159, -22/3, -1, 3
Solve 4*o**5 + 68*o**4 - 184*o**3 - 4928*o**2 = 0.
-14, -11, 0, 8
Factor 2*w**4 + 338*w**3 - 1032*w**2 + 8*w + 1376.
2*(w - 2)**2*(w + 1)*(w + 172)
Suppose -4*g**4 + 16304*g**3 - 16597460*g**2 - 33260168*g = 0. What is g?
-2, 0, 2039
Solve -5*l**3 + 635*l**2 - 4795*l + 4165 = 0 for l.
1, 7, 119
Factor -7*x**2 + 379*x - 54.
-(x - 54)*(7*x - 1)
Factor 4*u**2/3 - 60*u - 9856/3.
4*(u - 77)*(u + 32)/3
Suppose 3588*b**2/7 - 107631*b/7 - 270/7 = 0. Calculate b.
-3/1196, 30
Solve -3*n**5 - 8431*n**4/4 - 4907*n**3/4 + 1229*n**2 + 351*n = 0.
-702, -1, -1/4, 0, 2/3
Let -v**3/3 + 400*v**2/3 - 35237*v/3 - 979462/3 = 0. What is v?
-22, 211
Determine s, given that 2*s**3 - 51880*s**2 + 336389914*s + 672987364 = 0.
-2, 12971
Suppose 18*t**3 + 7574*t**2 - 16912*t + 3384 = 0. Calculate t.
-423, 2/9, 2
Factor -u**2/5 + 5157*u/5 - 7210.
-(u - 5150)*(u - 7)/5
Factor 3*f**3 + 252*f**2 + 213*f - 2988.
3*(f - 3)*(f + 4)*(f + 83)
Determine v so that -165*v**4 - 987*v**3 - 801*v**2 + 51*v + 30 = 0.
-5, -1, -2/11, 1/5
Factor 2*n**3 - 10846*n**2 + 54188*n - 43344.
2*(n - 5418)*(n - 4)*(n - 1)
Suppose 4*v**3 + 58*v**2 + 94*v - 660 = 0. Calculate v.
-11, -6, 5/2
Factor -2*w**3/5 - 120*w**2 + 1206*w/5 - 604/5.
-2*(w - 1)**2*(w + 302)/5
Factor o**2 - 7661*o + 22974.
(o - 7658)*(o - 3)
Solve -18*b**3 + 349440*b**2 - 465896*b + 155296 = 0 for b.
2/3, 19412
Suppose 3*x**5/2 + 87*x**4 - 666*x**3 + 1083*x**2 + 1329*x/2 - 1170 = 0. Calculate x.
-65, -1, 1, 3, 4
Determine f so that -849*f**4 - 7653*f**3 - 23031*f**2 - 23247*f - 324 = 0.
-3, -4/283
Find t such that 9*t**2/5 - 1578*t/5 + 11088/5 = 0.
22/3, 168
Let 2*v**5/9 + 40*v**4/3 + 182*v**3 = 0. What is v?
-39, -21, 0
Solve 5*o**2/2 + 287165*o = 0 for o.
-114866, 0
Determine u so that 4*u**4 + 14144*u**3 - 84960*u**2 + 169984*u - 113344 = 0.
-3542, 2
What is o in -o**2/2 + 45*o/2 - 162 = 0?
9, 36
Find w such that -12*w**3 + 13659*w**2 - 30687*w + 17040 = 0.
1, 5/4, 1136
Let -16*x**5 + 556*x**4 + 5628*x**3 + 2732*x**2 - 28556*x - 7224 = 0. What is x?
-7, -3, -1/4, 2, 43
Let 2*w**4/7 + 1502*w**3/7 - 10462*w**2 + 71730*w/7 = 0. Calculate w.
-797, 0, 1, 45
Let -w**4/3 - 343*w**3/9 + 1420*w**2/9 = 0. What is w?
-355/3, 0, 4
Factor 2*d**2/3 + 5884*d + 17646.
2*(d + 3)*(d + 8823)/3
Determine c, given that 4*c**5 - 4952*c**4 - 327768*c**3 - 7175952*c**2 - 55084428*c - 48231288 = 0.
-21, -1, 1302
Let -2*i**3 - 14*i**2 + 600*i + 5400 = 0. Calculate i.
-15, -10, 18
What is c in -c**5/2 + 180*c**4 - 5492*c**3 + 31701*c**2 - 95287*c/2 + 21255 = 0?
1, 5, 26, 327
Determine r so that 2*r**3/7 + 264*r**2/7 - 8*r/7 - 1056/7 = 0.
-132, -2, 2
Factor -7*i**2/3 + 569*i/3 - 54.
-(i - 81)*(7*i - 2)/3
Factor -3*t**2 + 852*t - 18009.
-3*(t - 261)*(t - 23)
Factor -4*d**4 - 324*d**3 + 328*d**2.
-4*d**2*(d - 1)*(d + 82)
Factor -4*b**3 - 18576*b**2 - 21585300*b - 43096328.
-4*(b + 2)*(b + 2321)**2
Suppose -a**3/5 - 6319*a**2/5 - 1994591*a + 29975763/5 = 0. Calculate a.
-3161, 3
Factor u**4/8 + 277*u**3/8 + 783*u**2 + 6136*u + 16192.
(u + 8)**3*(u + 253)/8
Suppose 3*x**2 + 5736*x + 246576 = 0. Calculate x.
-1868, -44
Let -2*n**3 - 162*n**2 + 168*n + 328 = 0. What is n?
-82, -1, 2
Factor -h**3/4 - 6617*h**2/4 + 33135*h/2.
-h*(h - 10)*(h + 6627)/4
Solve -2*j**4 + 120*j**3 + 5106*j**2 + 4984*j = 0.
-28, -1, 0, 89
Factor 4*s**3 - 32*s**2 - 4432*s + 43520.
4*(s - 32)*(s - 10)*(s + 34)
Factor 4*o**4 - 7184*o**3 + 4463424*o**2 - 1049051584*o + 55979290304.
4*(o - 574)**3*(o - 74)
Factor 3*k**3/2 + 2043*k**2/2.
3*k**2*(k + 681)/2
What is f in 3*f**3 - 4194*f**2 - 16812*f - 16824 = 0?
-2, 1402
Solve -3*d**3/4 - 1767*d**2/4 + 14712*d - 119232 = 0.
-621, 16
Factor w**2/6 - 19*w/3 + 140/3.
(w - 28)*(w - 10)/6
What is y in y**4/2 - 139*y**3/2 + 2940*y**2 - 34200*y = 0?
0, 19, 60
Let -2645*p**2 + 8749430*p - 7235588405 = 0. Calculate p.
38041/23
Let -2*a**5/5 - 22*a**4/5 - 76*a**3/5 - 16*a**2 = 0. What is a?
-5, -4, -2, 0
Let 3*s**4 + 36*s**3 + 12*s**2 - 576*s + 768 = 0. What is s?
-8, 2
Factor 3*m**3 + 154206*m**2 + 1981778400*m + 3962940000.
3*(m + 2)*(m + 25700)**2
Factor 5*z**2 + 13195*z - 4783630.
5*(z - 323)*(z + 2962)
What is s in -s**3/2 + 49*s**2 - 525*s/2 - 1242 = 0?
-3, 9, 92
Solve -2*j**4 - 20368*j**3 + 142646*j**2 - 285332*j + 163056 = 0 for j.
-10191, 1, 2, 4
Determine y, given that 3*y**2 - 1041*y - 20862 = 0.
-19, 366
Factor -5*g**2 - 297070*g + 297075.
-5*(g - 1)*(g + 59415)
Suppose -36*u**5/5 - 384*u**4/5 - 513*u**3/5 + 249*u**2/5 + 54*u/5 = 0. Calculate u.
-9, -2, -1/6, 0, 1/2
Find x, given that -4*x**2/9 + 424*x/9 + 19040/9 = 0.
-34, 140
Factor -5*s**4 + 28965*s**3 + 260955*s**2 + 783135*s + 783270.
-5*(s - 5802)*(s