that 8*r**4/9 + 1832*r**3/9 + 11954*r**2 + 34500*r + 25536 = 0.
-114, -112, -3/2
Factor -m**3 - 83*m**2 - 1336*m + 11220.
-(m - 6)*(m + 34)*(m + 55)
Determine d so that 2*d**4 - 4426*d**3 + 105432*d**2 - 788840*d + 1751200 = 0.
4, 10, 2189
Factor -2*t**2 - 4720*t - 469248.
-2*(t + 104)*(t + 2256)
Suppose 22*i**3/9 - 158*i**2/9 + 28*i/9 = 0. Calculate i.
0, 2/11, 7
Factor -4*k**2 - 8156*k + 65504.
-4*(k - 8)*(k + 2047)
Let -t**2 - 301*t - 9310 = 0. Calculate t.
-266, -35
Determine w, given that 2*w**4 - 2458*w**3 - 225288*w**2 - 4867808*w + 5095552 = 0.
-44, 1, 1316
Suppose -3*v**3 - 90*v**2 + 444*v + 1224 = 0. Calculate v.
-34, -2, 6
Factor -3*p**3 - 261*p**2 - 486*p + 2040.
-3*(p - 2)*(p + 4)*(p + 85)
Determine h, given that -774*h**2 + 37147*h/2 + 60 = 0.
-5/1548, 24
Suppose -u**4 - 702*u**3 - 11708*u**2 - 43074*u + 55485 = 0. What is u?
-685, -9, 1
Determine f, given that 6940*f**4 - 272435*f**3 - 208365*f**2 + 70610*f - 400 = 0.
-1, 2/347, 1/4, 40
Find i, given that 20*i**4 - 3836*i**3 - 429904*i**2/5 + 353104*i/5 - 71232/5 = 0.
-21, 2/5, 212
Factor -4*d**2/3 + 3416*d - 51140/3.
-4*(d - 2557)*(d - 5)/3
Factor -2*s**2/13 - 34656*s/13 - 150129792/13.
-2*(s + 8664)**2/13
Let -22*o**5/9 + 182*o**4 - 27326*o**3/9 - 40882*o**2/3 + 8372*o + 8112 = 0. What is o?
-4, -6/11, 1, 39
Factor -3*m**2/4 + 3309*m/2 - 16470.
-3*(m - 2196)*(m - 10)/4
Suppose -2*k**2/7 - 35632*k/7 - 158704928/7 = 0. What is k?
-8908
Let -8*t**3/17 + 734*t**2/17 + 3352*t + 14200/17 = 0. What is t?
-50, -1/4, 142
Factor -5*r**3 - 128*r**2 - 661*r + 1190.
-(r + 10)*(r + 17)*(5*r - 7)
Determine f so that -43*f**5/3 - 372*f**4 - 1969*f**3/3 + 404*f**2 + 2012*f/3 - 32 = 0.
-24, -2, -1, 2/43, 1
Suppose r**5 - 745*r**4 - 8278*r**3 - 28688*r**2 - 30240*r = 0. Calculate r.
-5, -4, -2, 0, 756
What is g in -2*g**5/15 - 1312*g**4/3 - 5398844*g**3/15 - 2147744*g**2 - 16078614*g/5 = 0?
-1637, -3, 0
Factor 151*a**2/2 + 223*a.
a*(151*a + 446)/2
Find t such that t**4/8 - 1529*t**3/8 - 9205*t**2/8 - 7675*t/8 = 0.
-5, -1, 0, 1535
Let p**4/5 - 11*p**3 - 198*p**2/5 + 284*p - 1624/5 = 0. Calculate p.
-7, 2, 58
Factor -2*u**2 - 567196*u - 1134384.
-2*(u + 2)*(u + 283596)
Let -4*s**2 + 1048*s - 18468 = 0. Calculate s.
19, 243
Factor -5*a**2/6 + 63320*a/3 - 400942240/3.
-5*(a - 12664)**2/6
Let -1909*d**2 + 1918*d - 9 = 0. What is d?
9/1909, 1
Factor -3*l**3/4 - 93*l**2/2 + 1635*l/4 - 1575/2.
-3*(l - 5)*(l - 3)*(l + 70)/4
Factor 5*i**2 - 10610*i + 31785.
5*(i - 2119)*(i - 3)
Determine b so that 52*b**4/3 - 14450*b**3/3 + 12736*b**2/3 + 554*b = 0.
-3/26, 0, 1, 277
Factor 4*f**5 - 68856*f**4 - 137724*f**3 - 68864*f**2.
4*f**2*(f - 17216)*(f + 1)**2
Suppose -2459762*c**3/5 - 66422446*c**2/5 - 239552*c/5 - 216/5 = 0. Calculate c.
-27, -2/1109
Let 5*p**5 - 320*p**4 + 3840*p**3 = 0. Calculate p.
0, 16, 48
Find f, given that 2*f**4 - 654*f**3 - 32196*f**2 + 139120*f = 0.
-47, 0, 4, 370
Factor -4*r**4 + 1208*r**3 - 2260*r**2 - 42000*r.
-4*r*(r - 300)*(r - 7)*(r + 5)
Factor -4*a**2 + 452*a + 20720.
-4*(a - 148)*(a + 35)
Determine o so that 2*o**5/9 - 3272*o**4 + 36132694*o**3/3 + 88348*o**2/9 - 36139240*o + 24088464 = 0.
-2, 1, 7362
Find p, given that -2*p**3/7 - 204*p**2 + 5736*p/7 - 5744/7 = 0.
-718, 2
Suppose -96123*z**2 + 3577494*z - 33286683 = 0. What is z?
3331/179
Factor -4*j**3 + 601680*j**2 + 1203372*j + 601688.
-4*(j - 150422)*(j + 1)**2
Suppose 15*q**5 - 680*q**4 - 2725*q**3 + 37250*q**2 + 66160*q + 26880 = 0. Calculate q.
-8, -1, -2/3, 7, 48
Determine n, given that n**3/2 + 32755*n**2/2 + 65507*n/2 + 32753/2 = 0.
-32753, -1
Factor -v**3 - 50702*v**2 - 101401*v - 50700.
-(v + 1)**2*(v + 50700)
Factor -2*x**2/13 - 147840*x/13 - 2732083200/13.
-2*(x + 36960)**2/13
Let -i**2/2 + 125546*i - 7880899058 = 0. Calculate i.
125546
Factor -t**4/3 - 422*t**3/3 - 39637*t**2/3 + 343508*t - 1987788.
-(t - 11)**2*(t + 222)**2/3
Let -38*l**5/7 + 1326*l**4/7 + 1584*l**3/7 - 2584*l**2/7 - 288*l/7 = 0. Calculate l.
-2, -2/19, 0, 1, 36
Factor -6*z**3/7 + 28376*z**2/7 - 4791490*z - 22372900/7.
-2*(z - 2365)**2*(3*z + 2)/7
Let -10*z**5/3 - 1894*z**4/9 - 208*z**3 + 5008*z**2/3 + 24352*z/9 + 992/3 = 0. What is z?
-62, -2, -2/15, 3
Find u such that u**5/5 + 22*u**4/5 - 446*u**3/5 - 6932*u**2/5 + 60421*u/5 - 17986 = 0.
-23, 2, 5, 17
Factor 2*n**2/9 + 106436*n/9 + 11826.
2*(n + 1)*(n + 53217)/9
Factor 3*j**2 + 31887*j + 31884.
3*(j + 1)*(j + 10628)
Determine k so that -3*k**2 + 1005*k + 2022 = 0.
-2, 337
Factor 5*m**3/6 + 1333*m**2/3 + 1592*m/3 - 2128/3.
(m + 2)*(m + 532)*(5*m - 4)/6
Factor -55*h**2 + 1620320*h - 589200.
-5*(h - 29460)*(11*h - 4)
Factor -x**3/2 - 61*x**2/2 + 232*x - 408.
-(x - 4)*(x - 3)*(x + 68)/2
Solve 3*x**2 - 59121*x + 59118 = 0.
1, 19706
Find s such that -2910*s**3 + 6005*s**2 + 15*s - 770 = 0.
-1/3, 77/194, 2
What is i in 2*i**3/9 - 1006*i**2/9 + 17494*i/9 - 16490/9 = 0?
1, 17, 485
Suppose -q**3/4 + 43*q**2/4 - 83*q/4 + 41/4 = 0. Calculate q.
1, 41
Find r such that -4*r**5 + 276*r**4 - 3680*r**3 + 15264*r**2 + 1728*r - 91584 = 0.
-2, 6, 53
Find t, given that 2*t**2/3 + 1112*t/3 + 7832 = 0.
-534, -22
Find r such that r**3/5 - 87*r**2/5 + 887*r/5 + 195 = 0.
-1, 13, 75
Determine s, given that s**4/6 + 129*s**3 - 25*s**2/6 - 3225*s = 0.
-774, -5, 0, 5
Suppose -5*l**5/3 + 103*l**4 - 174*l**3 - 360*l**2 = 0. Calculate l.
-6/5, 0, 3, 60
Solve 2*u**3/5 + 708*u**2/5 + 61846*u/5 - 25308 = 0 for u.
-185, -171, 2
Determine j so that 21*j**5 - 6*j**4 - 1029*j**3 + 294*j**2 = 0.
-7, 0, 2/7, 7
Factor 3*v**2 - 7545*v.
3*v*(v - 2515)
Factor 19*j**3/5 - j**2/5 - 171*j/5 + 9/5.
(j - 3)*(j + 3)*(19*j - 1)/5
Determine j so that -2*j**3/5 - 1028*j**2/5 - 410*j - 1024/5 = 0.
-512, -1
Find w, given that 2*w**2/9 + 562*w/9 + 2492/3 = 0.
-267, -14
Suppose -4*p**5 + 112*p**4 - 700*p**3 + 1184*p**2 + 400*p - 1600 = 0. Calculate p.
-1, 2, 5, 20
Let 3*p**3/4 + 177*p**2 - 10101*p - 3179904 = 0. What is p?
-182, 128
Suppose -2*b**4/3 + 3030*b**3 + 18194*b**2/3 - 9094*b = 0. Calculate b.
-3, 0, 1, 4547
Factor s**3 - 33*s**2 - 24*s + 4060.
(s - 29)*(s - 14)*(s + 10)
Factor 4*u**2/7 - 548*u/7 + 16920/7.
4*(u - 90)*(u - 47)/7
Solve 2*d**3 + 4346*d**2 + 90520*d + 292672 = 0 for d.
-2152, -17, -4
Factor 2*g**3 + 496*g**2 - 3080*g - 8128.
2*(g - 8)*(g + 2)*(g + 254)
Find d such that 2*d**2/17 + 41584*d/17 - 291186/17 = 0.
-20799, 7
Determine x, given that 5*x**2 + 210*x - 16400 = 0.
-82, 40
Factor -2*c**3/13 - 1874*c**2/13 - 40000*c - 3467776.
-2*(c + 208)**2*(c + 521)/13
Suppose -6*g**4/5 - 4744*g**3/5 - 12614*g**2/5 - 4724*g/5 + 3152/5 = 0. What is g?
-788, -2, -1, 1/3
Let -163*s**5 - 696*s**4 + 313*s**3 + 2414*s**2 + 1920*s + 352 = 0. Calculate s.
-4, -1, -44/163, 2
Let 4*f**2/5 - 1752*f - 105696/5 = 0. Calculate f.
-12, 2202
Determine b so that -b**2 - 6260*b + 6261 = 0.
-6261, 1
Suppose -5*r**2 - 7395*r + 789500 = 0. Calculate r.
-1579, 100
Let 4*i**5 + 704*i**4 + 11096*i**3 + 45088*i**2 - 11100*i - 45792 = 0. Calculate i.
-159, -9, -8, -1, 1
Let 2*y**2/5 + 449*y/5 - 57828/5 = 0. Calculate y.
-316, 183/2
Suppose 4*s**4 - 1760*s**3 + 152088*s**2 - 298912*s + 148580 = 0. Calculate s.
1, 115, 323
What is d in 5*d**2 + 3802480*d + 722942707520 = 0?
-380248
Factor 5*l**2 + 51605*l - 103230.
5*(l - 2)*(l + 10323)
Solve h**3 - 3414*h**2 + 2907009*h + 11682724 = 0.
-4, 1709
Determine l, given that 5*l**4 + 30*l**3 - 11000*l**2 = 0.
-50, 0, 44
Let 2*r**5 - 194*r**4 + 4014*r**3 + 586*r**2 - 12448*r + 8040 = 0. What is r?
-2, 1, 30, 67
Suppose 2*s**5/11 - 92*s**4/11 - 270*s**3/11 + 3664*s**2/11 + 4640*s/11 - 38400/11 = 0. What is s?
-5, 4, 48
Suppose 5*w**3 + 530*w**2 - 3405*w - 69930 = 0. Calculate w.
-111, -9, 14
Suppose 426387*z**4 - 18763290*z**3 + 206470839*z**2 - 1094940*z + 1452 = 0. What is z?
1/377, 22
Factor a**2/7 + 136004*a/7 - 136005/7.
(a - 1)*(a + 136005)/7
Determine p, given that -p**2/5 + 4*p/5 = 0.
0, 4
What is o in 5*o**2/3 - 3957170*o + 2348879161335 = 0?
1187151
Factor -3*d**4/7 + 2148*d**3/7 - 6417*d**2/7.
-3*d**2*(d - 713)*(d - 3)/7
Solve -14*b**3/9 - 34150*b**2/9 - 383668*b/9 - 106832/9 = 0.
-2428, -11, -2/7
Let q**5/2 - 12535*q**4/2 + 43857*q**3 - 112762*q**2 + 125284*q - 50112 = 0. What is q?
1, 2, 12528
Let -3*v**2 - 3585*v + 380142 = 0. What is v?
-1293, 98
Factor -5*g**2/3 - 3440*g.
-5*g*(g + 2064)/3
Let 2*r**5/23 