actor -2*k**3/13 - 98*k**2 - 213280*k/13 - 3267400/13.
-2*(k + 17)*(k + 310)**2/13
Factor -2*c**2 - 13152*c - 21621888.
-2*(c + 3288)**2
Determine h so that -3*h**2 + 786*h - 1560 = 0.
2, 260
Determine d, given that -4*d**2 + 2065452*d + 2065456 = 0.
-1, 516364
Factor -i**4 - 1757*i**3 - 772640*i**2 - 770884*i.
-i*(i + 1)*(i + 878)**2
Solve 16*o**5/5 - 110*o**4 - 1598*o**3/5 + 292*o**2 + 6136*o/5 + 592 = 0 for o.
-2, -5/8, 2, 37
Find p such that 4*p**5 - 2344*p**4 - 28600*p**3 - 62240*p**2 + 28596*p + 64584 = 0.
-9, -3, -1, 1, 598
What is a in -22*a**5/15 - 334*a**4/15 + 1634*a**3/15 + 638*a**2/15 - 1612*a/15 - 304/15 = 0?
-19, -1, -2/11, 1, 4
Factor 13*l**3/3 + 1909*l**2/3 - 3857*l/3 + 645.
(l - 1)**2*(13*l + 1935)/3
Suppose 27*j**4 - 2520*j**3 + 42402*j**2 + 29112*j + 4899 = 0. What is j?
-1/3, 23, 71
Factor -3*x**2/7 + 468*x/7 + 3360.
-3*(x - 196)*(x + 40)/7
Suppose 4*p**4 - 30*p**3 + 46*p**2 + 48*p - 32 = 0. Calculate p.
-1, 1/2, 4
Factor -3*q**2/4 + 453*q/4 - 1095/2.
-3*(q - 146)*(q - 5)/4
Factor 5*g**3 + 160*g**2 - 39095*g + 753710.
5*(g - 58)*(g - 23)*(g + 113)
Solve -3*f**3 - 79917*f**2 + 319704*f - 319716 = 0 for f.
-26643, 2
Determine x so that 2*x**2/17 - 13982*x/17 - 140020/17 = 0.
-10, 7001
Factor v**2 + 5196*v + 5195.
(v + 1)*(v + 5195)
Let -10*z**4 - 1025*z**3 + 39810*z**2 + 4677120*z + 2328480 = 0. Calculate z.
-84, -1/2, 66
Find i such that 5*i**2 + 81825*i + 327220 = 0.
-16361, -4
Factor v**2/2 - 323877*v/2 + 161938.
(v - 323876)*(v - 1)/2
Let -2*k**5/9 + 232*k**4/9 + 1052*k**3/3 - 10840*k**2/9 + 11294*k/9 - 1280/3 = 0. Calculate k.
-15, 1, 128
Solve 3*r**5 - 1899*r**4 + 46482*r**3 + 521694*r**2 + 1668843*r + 1720845 = 0 for r.
-3, 35, 607
Solve -h**2/4 + 265*h/2 - 63825/4 = 0.
185, 345
What is r in 2*r**2/11 - 565800*r/11 + 40016205000/11 = 0?
141450
Let 4*m**4/3 - 106*m**3/3 + 614*m**2/3 - 806*m/3 - 190 = 0. What is m?
-1/2, 3, 5, 19
Factor f**5/4 + 2097*f**4 - 16779*f**3/4 + 4195*f**2/2.
f**2*(f - 1)**2*(f + 8390)/4
Solve y**5 - 2582*y**4 + 1669261*y**3 - 3330780*y**2 + 1664100*y = 0.
0, 1, 1290
Factor -c**2/3 + 2668*c/3 - 5332/3.
-(c - 2666)*(c - 2)/3
Suppose 4*x**4 + 236*x**3 - 3524*x**2 + 15540*x - 21600 = 0. What is x?
-72, 3, 5
Factor 3*g**4/2 - 318*g**3 + 1254*g**2 - 1248*g.
3*g*(g - 208)*(g - 2)**2/2
Determine r so that r**5 + 19*r**4 - 9*r**3 - 167*r**2 + 88*r + 228 = 0.
-19, -3, -1, 2
Factor -12*y**3 - 2744*y**2 + 6492*y + 5544.
-4*(y - 3)*(y + 231)*(3*y + 2)
Factor -c**3 - 307*c**2 - 18087*c - 51525.
-(c + 3)*(c + 75)*(c + 229)
Determine n so that -3*n**5 - 1290*n**4 + 42306*n**3 - 263784*n**2 - 1106751*n - 799374 = 0.
-461, -2, -1, 17
Solve v**2/2 - 1161*v/2 = 0 for v.
0, 1161
Solve -3*q**4/7 - 486*q**3/7 + 124464*q**2/7 - 5405850*q/7 + 5281875/7 = 0 for q.
-313, 1, 75
Suppose -3*s**2 + 8256*s = 0. What is s?
0, 2752
Find d such that -3*d**2 - 35622*d + 606441 = 0.
-11891, 17
Determine k so that -5*k**5 + 10560*k**4 + 95325*k**3 + 254440*k**2 + 169680*k = 0.
-4, -1, 0, 2121
Factor -4*o**2 - 204*o - 1512.
-4*(o + 9)*(o + 42)
Factor -x**2/7 + 905*x/7 - 2652.
-(x - 884)*(x - 21)/7
Factor -3*t**4 - 2136*t**3 - 426288*t**2 - 15872256*t.
-3*t*(t + 48)*(t + 332)**2
Suppose -2*k**3 + 106*k**2 + 3608*k + 6776 = 0. What is k?
-22, -2, 77
What is k in 3*k**3/4 - 7029*k**2/4 - 14079*k/4 + 21105/4 = 0?
-3, 1, 2345
Let -44*i**2 + 563116*i - 51192 = 0. Calculate i.
1/11, 12798
What is z in -2*z**2/3 + 1384*z - 20610 = 0?
15, 2061
Let -1648*f**5/3 + 460*f**4/3 + 1438*f**3 + 2552*f**2/3 + 334*f/3 - 4 = 0. Calculate f.
-1, -1/2, -1/4, 3/103, 2
Find j, given that -3*j**4/2 - 111*j**3 + 9675*j**2/2 - 4725*j = 0.
-105, 0, 1, 30
Factor 2*o**2 - 40944*o/5 + 16376/5.
2*(o - 4094)*(5*o - 2)/5
Factor q**2/3 + 388*q/3 + 9964.
(q + 106)*(q + 282)/3
Factor 46*w**2 + 8082*w.
2*w*(23*w + 4041)
Determine f so that -3*f**2/2 - 8835*f/2 - 105156 = 0.
-2921, -24
Let -3*t**4 - 4119*t**3 + 12387*t**2 + 4119*t - 12384 = 0. Calculate t.
-1376, -1, 1, 3
Factor 4*f**2 + 42572*f - 554112.
4*(f - 13)*(f + 10656)
Find s such that -2*s**4 - 654*s**3 - 1292*s**2 + 2616*s + 5200 = 0.
-325, -2, 2
Let -2*a**4/3 + 1474*a**3/3 + 5962*a**2 + 67310*a/3 + 74900/3 = 0. What is a?
-5, -2, 749
Find w such that -236*w**2 + 1212*w - 1480 = 0.
2, 185/59
Determine v, given that 5*v**2/4 - 6245*v/4 - 122265/2 = 0.
-38, 1287
Solve 2*i**4/11 + 60*i**3/11 + 10*i**2 - 60*i/11 - 112/11 = 0 for i.
-28, -2, -1, 1
Factor -4*c**4 - 1896*c**3 + 5940*c**2 + 103032*c.
-4*c*(c - 9)*(c + 6)*(c + 477)
Suppose -3*i**2 + 405*i + 5292 = 0. What is i?
-12, 147
Solve -22608*l**3 + 226082*l**2/5 - 4*l/5 = 0.
0, 1/56520, 2
Factor 5*b**4 + 185*b**3 - 960*b**2 - 15280*b - 35200.
5*(b - 11)*(b + 4)**2*(b + 40)
Factor l**2/2 - 2767*l/2 + 27470.
(l - 2747)*(l - 20)/2
Determine r, given that -12*r**5 + 13167*r**4 + 102585*r**3 + 198831*r**2 + 76275*r - 33150 = 0.
-5, -2, -1, 1/4, 1105
What is w in 25*w**5/6 - 9185*w**4/2 + 5499*w**3 + 19814*w**2/3 + 1468*w = 0?
-2/5, 0, 2, 1101
Factor 2*a**3/3 + 978*a**2 + 8788*a/3 + 1952.
2*(a + 1)*(a + 2)*(a + 1464)/3
Let 2*j**3/9 + 3274*j**2/9 + 442784*j/3 - 1051064 = 0. Calculate j.
-822, 7
Suppose 32*q**4/7 - 2596*q**3/7 + 10264*q**2/7 - 1100*q = 0. Calculate q.
0, 1, 25/8, 77
Factor c**3/4 - 1239307*c**2/4 + 383971079715*c/4 - 383969840409/4.
(c - 619653)**2*(c - 1)/4
Factor d**2/5 + 5324*d/5 - 21312/5.
(d - 4)*(d + 5328)/5
Let -1800*r**5 + 32460*r**4 - 61028*r**3 + 40160*r**2 - 10816*r + 1024 = 0. What is r?
4/15, 1/2, 1, 16
Let -2402*s**4/7 - 2398*s**3/7 + 19220*s**2/7 + 28792*s/7 - 48/7 = 0. What is s?
-2, 2/1201, 3
Factor 2*r**3/11 - 2298*r**2/11 + 4590*r/11 - 2294/11.
2*(r - 1147)*(r - 1)**2/11
Factor 4*w**2 - 835416*w - 1670848.
4*(w - 208856)*(w + 2)
Let -2*s**4/5 + 6268*s**3 + 31344*s**2/5 - 6268*s - 31342/5 = 0. What is s?
-1, 1, 15671
Factor 2*v**2/5 - 774*v/5 + 12512.
2*(v - 272)*(v - 115)/5
Suppose l**5 - 1328*l**4 - 41830*l**3 - 405496*l**2 - 1148355*l = 0. Calculate l.
-13, -5, 0, 1359
Solve -2*f**2/7 + 221444*f/7 - 6129680642/7 = 0 for f.
55361
Factor 758*o**2/7 - 30368*o/7 + 1920/7.
2*(o - 40)*(379*o - 24)/7
Factor -4*z**3 - 35616*z**2 - 106796*z + 142416.
-4*(z - 1)*(z + 4)*(z + 8901)
Determine l so that -l**4 + 34*l**3 - 339*l**2 + 746*l + 1120 = 0.
-1, 5, 14, 16
Suppose 2*c**5/5 - 22*c**4 + 846*c**3/5 + 2502*c**2/5 - 648*c = 0. What is c?
-3, 0, 1, 12, 45
Factor -5*h**2 + 2819640*h + 2819645.
-5*(h - 563929)*(h + 1)
Factor -5137077354750*z**4/7 - 732582115650*z**3 + 8997286320*z**2/7 - 5257856*z/7 + 1024/7.
-2*(z + 1)*(13695*z - 8)**3/7
What is q in q**4 - 689*q**3 + 116943*q**2 + 599269*q + 481636 = 0?
-4, -1, 347
Let -2*j**2/9 + 1314316*j/9 - 215928318482/9 = 0. Calculate j.
328579
Factor 4*t**4 - 220*t**3 + 2864*t**2 + 5824*t - 37632.
4*(t - 28)**2*(t - 3)*(t + 4)
What is b in -4*b**5 - 4104*b**4 - 1077012*b**3 - 12484496*b**2 - 37144848*b - 32902272 = 0?
-507, -8, -2
Factor -5*z**5 + 16415*z**4 + 65720*z**3 + 65740*z**2.
-5*z**2*(z - 3287)*(z + 2)**2
Let -12*f**2 - 4404945*f + 1101237 = 0. What is f?
-367079, 1/4
Find f such that -f**3 - 1415*f**2 - 554112*f - 36815148 = 0.
-666, -83
Find p such that -3*p**5 - 4149*p**4 - 1913130*p**3 - 330720198*p**2 - 18922602195*p + 19255239675 = 0.
-545, -147, 1
Solve 16*m**4/9 + 8972*m**3/9 + 147308*m**2/9 - 321596*m/9 + 55100/3 = 0.
-2175/4, -19, 1
What is l in -l**3/5 - 5107*l**2/5 - 192583*l/5 + 197691/5 = 0?
-5069, -39, 1
Let -d**4/7 - 166*d**3/7 - 161*d**2 - 2234*d/7 - 1272/7 = 0. What is d?
-159, -4, -2, -1
Determine x, given that 6*x**3/11 - 10488*x**2/11 + 4562208*x/11 + 18417024/11 = 0.
-4, 876
Factor -c**2/2 + 482280*c - 116296999200.
-(c - 482280)**2/2
Solve -q**4/9 - 164*q**3/3 + 54499*q**2/9 + 6110*q = 0 for q.
-585, -1, 0, 94
Factor -2*l**3 + 1548*l**2 - 296418*l - 1210568.
-2*(l - 389)**2*(l + 4)
Let -2*r**5 - 92*r**4 - 416*r**3 - 228*r**2 + 738*r = 0. Calculate r.
-41, -3, 0, 1
Suppose 2*p**5/7 - 8*p**4/7 - 106*p**3/7 + 48*p**2 = 0. What is p?
-7, 0, 3, 8
Solve -5*f**5 - 1605*f**4 - 180670*f**3 - 8022430*f**2 - 104509245*f - 396665885 = 0 for f.
-101, -11, -7
Solve g**3 - 116*g**2 + 113*g + 230 = 0 for g.
-1, 2, 115
Factor -g**3 + 1317*g**2/2 + 3303*g/2 + 661.
-(g - 661)*(g + 2)*(2*g + 1)/2
Find h such that 2*h**4 + 3988*h**3 + 2870280*h**2 + 865237100*h + 88049557750 = 0.
-595, 