46*q**3 + 6794*q**2 - 846*q - 6804 = 0.
-378/5, -9, -1, 1
Factor 4*a**3/7 - 256932*a**2/7 + 513852*a/7 - 256924/7.
4*(a - 64231)*(a - 1)**2/7
Determine j, given that -768*j**2 + 10080*j - 33075 = 0.
105/16
Determine o, given that -5*o**2 - 2805*o - 169740 = 0.
-492, -69
Factor -2*m**3/3 + 110*m**2/3 + 1282*m/3 + 390.
-2*(m - 65)*(m + 1)*(m + 9)/3
Suppose -44392*c**2/5 - 71026*c + 48/5 = 0. Calculate c.
-8, 3/22196
What is h in h**3 - 3300*h**2 + 140051*h = 0?
0, 43, 3257
Factor 3*c**2 - 2181*c + 19386.
3*(c - 718)*(c - 9)
Determine j so that 10*j**4 - 16862*j**3/7 - 1936*j**2/7 + 1928*j/7 = 0.
-2/5, 0, 2/7, 241
Factor q**2/7 + 10179*q/7 + 50870/7.
(q + 5)*(q + 10174)/7
Find f such that 14*f**4 - 3267*f**3/2 + 8607*f**2/2 - 3254*f + 570 = 0.
1/4, 1, 10/7, 114
Find i such that -3*i**3 - 531*i**2 - 15453*i - 123981 = 0.
-143, -17
Solve o**2/11 + 19774*o/11 = 0.
-19774, 0
Solve -40*p**4 - 7118*p**3 + 52156*p**2 - 2590*p = 0 for p.
-185, 0, 1/20, 7
Factor -3*x**2 - 444*x + 31200.
-3*(x - 52)*(x + 200)
Find n, given that -40*n**2/11 - 17234*n/11 + 2586/11 = 0.
-431, 3/20
Suppose 2*m**5 + 60*m**4 - 418*m**3 + 516*m**2 + 416*m - 576 = 0. Calculate m.
-36, -1, 1, 2, 4
Let -6*b**5 - 952*b**4 + 22702*b**3 + 155176*b**2 + 93080*b = 0. Calculate b.
-179, -5, -2/3, 0, 26
Determine h, given that -5*h**3 - 2930*h**2 + 29800*h = 0.
-596, 0, 10
Factor 2*w**4/5 - 458*w**3/5 + 16884*w**2/5 - 45080*w + 1026256/5.
2*(w - 187)*(w - 14)**3/5
Let 13285*r**3 + 53130*r**2 - 40*r = 0. Calculate r.
-4, 0, 2/2657
Let 35*z**2 + 2330*z + 10775 = 0. Calculate z.
-431/7, -5
Factor -3*q**2 - 22821*q - 45630.
-3*(q + 2)*(q + 7605)
Factor k**4/2 - 1682*k**3 - 10101*k**2/2.
k**2*(k - 3367)*(k + 3)/2
Solve -2*h**5/15 + 146*h**4/15 + 772*h**3/5 - 379004*h**2/15 + 7406486*h/15 - 2343314/5 = 0.
-51, 1, 41
Suppose -c**3/3 - 109*c**2/3 + 5698*c/3 - 10952/3 = 0. Calculate c.
-148, 2, 37
Factor -k**3/6 + 17*k**2/3 - 245*k/6 + 250/3.
-(k - 25)*(k - 5)*(k - 4)/6
What is p in 5*p**4 - 95*p**3 + 95*p**2 + 1275*p = 0?
-3, 0, 5, 17
Factor d**2/4 + 8752*d + 105015/4.
(d + 3)*(d + 35005)/4
Let 30*w**3 - 385*w**2 - 485*w - 70 = 0. Calculate w.
-1, -1/6, 14
Determine r so that -2*r**5 + 280*r**4 - 9478*r**3 - 22648*r**2 + 85464*r + 181152 = 0.
-3, -2, 3, 68, 74
Factor 10*w**2/11 - 774152*w/11 + 154830/11.
2*(w - 77415)*(5*w - 1)/11
What is s in s**5/2 + 889*s**4/2 + 193539*s**3/2 - 1796461*s**2/2 + 2010622*s - 1209606 = 0?
-449, 1, 2, 6
Factor -3*h**2 - 1716*h - 78300.
-3*(h + 50)*(h + 522)
Suppose 2*y**5 - 940*y**4 + 8232*y**3 + 30356*y**2 + 32246*y + 11064 = 0. What is y?
-1, 12, 461
Factor 3*q**2 - 1773*q - 5346.
3*(q - 594)*(q + 3)
Let 3*o**3 + 1413*o**2 + 137160*o - 7161276 = 0. Calculate o.
-254, 37
Determine b so that 4404*b**2 - 8*b = 0.
0, 2/1101
Solve 2*m**2 + 134*m - 6336 = 0.
-99, 32
Let -6*a**2/5 - 404772*a - 34133410830 = 0. Calculate a.
-168655
What is h in 2*h**3/5 + 19162*h**2/5 - 19164*h/5 = 0?
-9582, 0, 1
Factor q**4/2 + 3141*q**3/10 + 98091*q**2/2 - 178605*q/2.
q*(q + 315)**2*(5*q - 9)/10
Determine p, given that -p**5/5 + 7*p**4/5 + 362*p**3/5 - 300*p**2 + 1512*p/5 = 0.
-18, 0, 2, 21
Factor -u**4/10 + 12*u**3 - 1248*u**2/5 + 9472*u/5 - 24576/5.
-(u - 96)*(u - 8)**3/10
Let 15*l**4/7 - 51*l**3/7 - 2025*l**2/7 + 51*l/7 + 2010/7 = 0. Calculate l.
-10, -1, 1, 67/5
Factor 2*u**3 - 40*u**2 - 20150*u + 929500.
2*(u - 65)**2*(u + 110)
Solve 4*h**2 + 865424*h + 46809918736 = 0.
-108178
Factor 2*n**3 - 30*n**2 - 234*n - 378.
2*(n - 21)*(n + 3)**2
Suppose 4*b**5 + 364*b**4 + 5484*b**3 + 16676*b**2 + 2000*b - 24528 = 0. What is b?
-73, -14, -3, -2, 1
Solve -3*x**2/4 + 85605*x/4 - 42801/2 = 0 for x.
1, 28534
Factor 2*f**2/7 - 384*f/7 - 50760/7.
2*(f - 282)*(f + 90)/7
Let -2*n**4/9 - 4*n**3 + 238*n**2/9 + 16*n - 920/9 = 0. Calculate n.
-23, -2, 2, 5
Solve -o**5 + 311*o**4 + 4877*o**3 + 4253*o**2 - 4876*o - 4564 = 0 for o.
-14, -1, 1, 326
Factor -5*l**2 - 5400*l - 16155.
-5*(l + 3)*(l + 1077)
Determine d, given that d**4/4 + d**3/4 - 39*d**2/2 + 80*d - 88 = 0.
-11, 2, 4
Let -2*y**4 + 972*y**3 + 14002*y**2 - 972*y - 14000 = 0. Calculate y.
-14, -1, 1, 500
Determine x so that 30*x**2 + 111*x - 414 = 0.
-6, 23/10
Determine i, given that -3*i**5 - 99*i**4 - 183*i**3 + 99*i**2 + 186*i = 0.
-31, -2, -1, 0, 1
Let 2*t**2 + 1130*t + 8912 = 0. What is t?
-557, -8
Factor -3*g**2/8 + 135771*g/8 + 101835/2.
-3*(g - 45260)*(g + 3)/8
Determine j, given that -j**5/6 - 5*j**4 - 73*j**3/2 - 175*j**2/3 + 100*j = 0.
-20, -6, -5, 0, 1
Solve 2*c**4 + 1406*c**3/9 + 478*c**2/3 - 8174*c/9 - 308/3 = 0.
-77, -3, -1/9, 2
Determine g, given that -15*g**3 + 831*g**2 + 8466*g - 13440 = 0.
-10, 7/5, 64
Find j, given that -2*j**2/13 - 96762*j/13 - 387016/13 = 0.
-48377, -4
Factor n**2 - 1965*n/2 - 983/2.
(n - 983)*(2*n + 1)/2
Find y such that -3*y**4/5 - 136362*y**3 + 2045448*y**2/5 - 2045454*y/5 + 681819/5 = 0.
-227273, 1
What is l in -3*l**2/2 + 348225*l/2 = 0?
0, 116075
Find t such that 36*t**4 + 796*t**3 + 1564*t**2 + 884*t + 80 = 0.
-20, -1, -1/9
Let -4*h**5/5 - 216*h**4/5 + 704*h**3/5 + 1128*h**2/5 - 140*h - 912/5 = 0. Calculate h.
-57, -1, 1, 4
Factor 2*v**4/3 + 400*v**3 + 191600*v**2/3 + 1160000*v + 16820000/3.
2*(v + 10)**2*(v + 290)**2/3
Let -3*j**2 - 77904*j - 505752768 = 0. Calculate j.
-12984
Factor 2*w**2/13 + 482*w/13 - 58740/13.
2*(w - 89)*(w + 330)/13
Find v such that 686*v**5/11 + 67424*v**4/11 - 117222*v**3/11 + 38008*v**2/11 + 20704*v/11 - 9600/11 = 0.
-100, -3/7, 4/7, 1
Let -s**2/4 + 15619*s/4 - 15617/2 = 0. What is s?
2, 15617
Find m, given that -5*m**3 + 990*m**2 - 10375*m + 16830 = 0.
2, 9, 187
Suppose -5*q**4 - 19405*q**3 + 350825*q**2 - 331415*q = 0. What is q?
-3899, 0, 1, 17
Let 3*w**2/5 + 271413*w/5 - 271416/5 = 0. What is w?
-90472, 1
What is k in -42*k**2/13 - 46*k - 556/13 = 0?
-278/21, -1
Factor -2*r**2/5 + 25938*r/5 - 25936/5.
-2*(r - 12968)*(r - 1)/5
Determine k so that -2*k**5/17 + 1690*k**4/17 - 6726*k**3/17 - 1690*k**2/17 + 6728*k/17 = 0.
-1, 0, 1, 4, 841
Factor d**3/5 - 39752*d**2 + 9876583157*d/5 - 19752371282/5.
(d - 99379)**2*(d - 2)/5
Let 3*m**5/7 + 27*m**4 + 1938*m**3/7 - 108*m**2 - 7800*m/7 = 0. Calculate m.
-50, -13, -2, 0, 2
What is c in 2*c**4/13 + 54*c**3/13 + 224*c**2/13 - 1080*c/13 + 800/13 = 0?
-20, -10, 1, 2
Let -t**3 + 15672*t**2 - 31341*t + 15670 = 0. What is t?
1, 15670
Determine v so that 21*v**5 + 201*v**4 + 606*v**3 + 492*v**2 - 552*v - 768 = 0.
-32/7, -2, 1
Solve f**4/3 + 332*f**3/3 + 983*f**2/3 - 1316*f/3 = 0 for f.
-329, -4, 0, 1
Suppose -128*o**5 - 160*o**4 + 4542*o**3 + 17450*o**2 + 17500*o = 0. Calculate o.
-25/8, -2, 0, 7
Factor -5*l**2 - 2205*l + 264110.
-5*(l - 98)*(l + 539)
Factor -2*j**3 - 2390*j**2 + 4786*j - 2394.
-2*(j - 1)**2*(j + 1197)
Suppose -45*q**3 - 950*q**2 - 105*q = 0. Calculate q.
-21, -1/9, 0
Factor -3*t**4 + 9*t**3 + 126*t**2 - 516*t + 504.
-3*(t - 6)*(t - 2)**2*(t + 7)
Determine f so that -4*f**4/7 - 2308*f**3/7 - 42512*f**2/7 - 57488*f/7 + 303552/7 = 0.
-558, -17, -4, 2
Suppose -4*v**2/5 - 38996*v/5 - 233832/5 = 0. What is v?
-9743, -6
Factor y**3/5 + 789*y**2/5 + 153639*y/5 - 157609.
(y - 5)*(y + 397)**2/5
Factor t**4 - 5443*t**3 - 164253*t**2 + 344831*t - 175136.
(t - 5473)*(t - 1)**2*(t + 32)
Find t, given that 3*t**3/8 + 61*t**2/4 - 3227*t/8 + 531/4 = 0.
-59, 1/3, 18
Determine b so that 10*b**4/7 + 5394*b**3/7 - 12322*b**2 + 181086*b/7 + 86580/7 = 0.
-555, -2/5, 3, 13
Factor 3*z**2 - 18225*z - 384048.
3*(z - 6096)*(z + 21)
Find z, given that -z**3/2 + 1121*z**2/2 + z/2 - 1121/2 = 0.
-1, 1, 1121
Suppose -4*v**2 + 9344*v - 27996 = 0. Calculate v.
3, 2333
Factor 49125*p**3 + 10*p**2.
5*p**2*(9825*p + 2)
Let 558*w**2/13 - 478*w/13 - 80/13 = 0. What is w?
-40/279, 1
Factor 2*l**4/5 - 68*l**3/5 + 38*l**2 - 124*l/5.
2*l*(l - 31)*(l - 2)*(l - 1)/5
Factor -2*n**2/5 + 218348*n/5 - 5959481138/5.
-2*(n - 54587)**2/5
Factor 15*w**3 - 2395*w**2 - 5660*w - 1620.
5*(w - 162)*(w + 2)*(3*w + 1)
Factor -4*d**2/7 + 38504*d/7 - 76992/7.
-4*(d - 9624)*(d - 2)/7
Factor 6*j**3/7 - 7488*j**2 - 157302*j/7.
6*j*(j - 8739)*(j + 3)/7
Suppose -3*h**4 + 2805*h**3 + 31146*h**2 + 68220*h - 102168 = 0. What is h?
-6, 1, 946
Find u such that -u**5/2 - 11*u**4 - 8*u**3 + 249*u**2 + 225*u/2 - 1350 = 0.
-20, -5, -3, 3
Find l such that -368*l**3/7 - 5151*l**2/7 + 2*l = 0