 6810*a + 6844.
-2*(a + 1)*(17*a - 3422)
Find f such that -3*f**3/4 + 43473*f**2/4 + 86955*f/4 + 43479/4 = 0.
-1, 14493
Factor -2*k**3 - 1182*k**2 - 10512*k - 20952.
-2*(k + 3)*(k + 6)*(k + 582)
Determine l, given that l**2/4 + 29*l/4 - 74 = 0.
-37, 8
Factor 2*h**4 - 88*h**3 + 1108*h**2 - 5480*h + 9450.
2*(h - 27)*(h - 7)*(h - 5)**2
Factor h**2/5 + 133*h/5 + 3916/5.
(h + 44)*(h + 89)/5
Determine w so that 21125*w**5 - 7094100*w**4 - 1331345*w**3 + 7033620*w**2 + 1310220*w + 60480 = 0.
-1, -6/65, 1, 336
Factor x**2/3 + 266*x/3 - 1805.
(x - 19)*(x + 285)/3
Factor -98*y**2 + 359436*y - 329577138.
-2*(7*y - 12837)**2
Factor b**3 - 1222*b**2 + 191175*b - 189954.
(b - 1038)*(b - 183)*(b - 1)
Factor -2*d**2 + 608420*d - 46271862050.
-2*(d - 152105)**2
Factor 4*w**5 - 2340*w**4 + 341052*w**3 + 343396*w**2.
4*w**2*(w - 293)**2*(w + 1)
Factor 4*r**2 - 5292*r + 1738008.
4*(r - 717)*(r - 606)
Let -5*t**2 - 765*t + 241020 = 0. What is t?
-309, 156
Factor 4*u**5 - 8*u**4 - 32*u**3.
4*u**3*(u - 4)*(u + 2)
What is t in 4*t**5 + 5172*t**4 + 677920*t**3 - 723802656*t**2 - 2903180480*t - 2905809600 = 0?
-790, -2, 291
Find u, given that u**2 - 3397*u - 20418 = 0.
-6, 3403
Factor 18*y**3/5 - 38436*y**2/5 + 51224*y/5 - 17072/5.
2*(y - 2134)*(3*y - 2)**2/5
Solve -g**2/4 + 33*g/8 + 427/4 = 0 for g.
-14, 61/2
Suppose v**3 - 85*v**2 + 166*v = 0. Calculate v.
0, 2, 83
Let -5*q**2 - 5005*q + 5010 = 0. What is q?
-1002, 1
Factor t**3 - 148*t**2 + 4289*t - 4142.
(t - 109)*(t - 38)*(t - 1)
Let 2*s**2/5 + 59068*s/5 - 11814 = 0. Calculate s.
-29535, 1
Determine p, given that p**5 - 111*p**4 + 3239*p**3 - 28289*p**2 - 3240*p + 28400 = 0.
-1, 1, 20, 71
Factor -3*g**3 - 14517*g**2 + 437535*g - 3286575.
-3*(g - 15)**2*(g + 4869)
Factor 15*y**4/4 - 15441*y**3/4 + 3087*y**2/2.
3*y**2*(y - 1029)*(5*y - 2)/4
Factor h**4 + 139*h**3 + 670*h**2.
h**2*(h + 5)*(h + 134)
Solve q**5 + 6*q**4 - 36*q**3 + 40*q**2 = 0.
-10, 0, 2
Solve -2*r**4/7 - 958*r**3/7 - 42694*r**2/7 + 12610*r - 44616/7 = 0.
-429, -52, 1
Suppose -5*f**3 - 4190*f**2 + 16820*f - 16840 = 0. What is f?
-842, 2
Solve -6924*j**3 - 13750*j**2 - 6728*j + 98 = 0 for j.
-1, 49/3462
Suppose -v**2 + 38*v = 0. What is v?
0, 38
Factor -a**2 - 581*a - 2880.
-(a + 5)*(a + 576)
Find b such that 2*b**5/15 + 5288*b**4/3 - 61734*b**3/5 - 317096*b**2/15 + 4655264*b/15 - 564352 = 0.
-13227, -5, 4
Determine h so that 2*h**2/5 - 273080*h = 0.
0, 682700
Factor 2*d**3/11 + 260*d**2/11 - 586*d + 3344.
2*(d - 11)**2*(d + 152)/11
Factor d**3 + 559*d**2 + 8160*d.
d*(d + 15)*(d + 544)
Let 4*w**2 + 1540*w - 51584 = 0. What is w?
-416, 31
Find c such that -933*c**2 - 891021*c - 5730 = 0.
-955, -2/311
Factor -2*u**3/11 + 1846*u**2/11 + 3698*u/11 + 1850/11.
-2*(u - 925)*(u + 1)**2/11
Factor 475*r**2/4 - 6953*r/4 + 543/2.
(19*r - 3)*(25*r - 362)/4
Factor 3*y**3 + 2310*y**2 + 554484*y + 39192552.
3*(y + 126)*(y + 322)**2
Factor -5*d**2 - 12965*d + 12970.
-5*(d - 1)*(d + 2594)
Let 25*j**2 + 24221585*j + 9688630 = 0. What is j?
-968863, -2/5
Determine r, given that 4*r**3/3 - 4456*r**2/3 + 125860*r/3 = 0.
0, 29, 1085
Factor -2*j**2/9 - 7786*j/3 - 46708/9.
-2*(j + 2)*(j + 11677)/9
Factor 3*k**5 + 918*k**4 + 74592*k**3 + 657120*k**2.
3*k**2*(k + 10)*(k + 148)**2
Find d, given that -368*d**2/5 + 1542*d + 378/5 = 0.
-9/184, 21
Determine j, given that -2505441125*j**3 - 97711756175*j**2 + 17460280*j - 780 = 0.
-39, 2/22385
Suppose 3*y**4 - 168*y**3 + 2481*y**2 - 5412*y - 8064 = 0. Calculate y.
-1, 4, 21, 32
Suppose 30*k**5 + 505*k**4 - 190*k**3 - 1815*k**2 - 470*k + 680 = 0. Calculate k.
-17, -4/3, -1, 1/2, 2
Factor -5*l**2 + 257895*l + 257900.
-5*(l - 51580)*(l + 1)
Determine s so that -3*s**3 + 180*s**2 - 2481*s - 2664 = 0.
-1, 24, 37
Factor -855*a**3 + 97*a**2 + 6*a.
-a*(19*a - 3)*(45*a + 2)
Factor -i**2/2 + 813*i/2 - 5593.
-(i - 799)*(i - 14)/2
Factor -j**2/5 - 19056*j - 453913920.
-(j + 47640)**2/5
Solve b**4 + 184*b**3 - 1964*b**2 - 4656*b = 0.
-194, -2, 0, 12
Factor l**4/7 - 45*l**3/7 - 841*l**2/7 + 885*l/7.
l*(l - 59)*(l - 1)*(l + 15)/7
Let -h**5/2 - 102*h**4 - 2763*h**3/2 + 6766*h**2 - 7182*h = 0. Calculate h.
-189, -19, 0, 2
What is v in 3*v**3/2 - 1101*v**2 + 4386*v - 4380 = 0?
2, 730
Solve -20*b**4 - 12188*b**3 - 1853172*b**2 + 1121180*b + 744200 = 0 for b.
-305, -2/5, 1
Solve -3*a**3 - 1424757*a**2 - 2849505*a - 1424751 = 0 for a.
-474917, -1
Find c, given that 2*c**4/5 - 1187*c**3/5 - 139596*c**2/5 + 70687*c/5 + 70094/5 = 0.
-101, -1/2, 1, 694
Solve -y**2/5 - 412*y/5 - 1632/5 = 0 for y.
-408, -4
Find y such that 192*y**2 + 110589*y/8 - 27 = 0.
-72, 1/512
Solve 3*v**3 + 51*v**2 + 168*v + 156 = 0 for v.
-13, -2
Factor -4*f**3 + 10692*f**2 - 10688*f.
-4*f*(f - 2672)*(f - 1)
Find s, given that s**5 + 119*s**4 + 4026*s**3 + 28414*s**2 + 30965*s - 63525 = 0.
-55, -7, -3, 1
Factor -2*y**2 + 2384*y + 7170.
-2*(y - 1195)*(y + 3)
Factor -2*g**2/3 - 1989752*g/3 - 494889127688/3.
-2*(g + 497438)**2/3
Let -4*z**2/5 - 1392*z - 6956/5 = 0. Calculate z.
-1739, -1
Let -3*g**5 - 384*g**4 + 1971*g**3 - 3180*g**2 + 1596*g = 0. What is g?
-133, 0, 1, 2
Suppose -2*g**4/19 + 564*g**3/19 - 14202*g**2/19 + 111024*g/19 - 220320/19 = 0. What is g?
3, 12, 255
Let -28*b**4 - 2532*b**3 + 9108*b**2 + 119988*b + 211896 = 0. Calculate b.
-654/7, -3, 9
Suppose 2*c**5/7 - 58*c**4/7 + 444*c**3/7 - 856*c**2/7 - 208*c/7 + 1152/7 = 0. What is c?
-1, 2, 8, 18
What is o in -2*o**2 - 248*o + 250 = 0?
-125, 1
Suppose -2*u**3 - 4518922*u**2 - 2552579745798*u + 2552584264722 = 0. Calculate u.
-1129731, 1
Factor 3*k**5/7 - 23790*k**4/7 + 47571*k**3/7 - 23784*k**2/7.
3*k**2*(k - 7928)*(k - 1)**2/7
Factor 4*i**5 + 4084*i**4 + 12216*i**3.
4*i**3*(i + 3)*(i + 1018)
Find z such that 22*z**3/5 - 1952*z**2 = 0.
0, 4880/11
Let -2*s**4/9 - 70*s**3/3 - 5744*s**2/9 - 16520*s/3 - 77792/9 = 0. Calculate s.
-68, -22, -13, -2
Factor -k**3 - 44*k**2 + 17939*k - 190674.
-(k - 107)*(k - 11)*(k + 162)
Determine z, given that 2*z**3/9 - 60*z**2 + 2182*z/3 + 34952/9 = 0.
-4, 17, 257
Find t, given that -2*t**2 + 1277702*t = 0.
0, 638851
Determine g, given that g**5/3 - 19*g**4/3 + 97*g**3/3 - 61*g**2/3 - 98*g/3 + 80/3 = 0.
-1, 1, 8, 10
Let 3*m**5/2 - 775*m**4/2 + 22673*m**3 + 86826*m**2 + 95908*m + 32144 = 0. What is m?
-2, -1, -2/3, 98, 164
What is u in -2*u**3 + 586*u**2 + 20088*u = 0?
-31, 0, 324
Factor 4*f**2 - 211644*f + 211640.
4*(f - 52910)*(f - 1)
Find i, given that 428*i**5 - 13918*i**4 + 116462*i**3 - 50108*i**2 - 53888*i + 1024 = 0.
-1/2, 2/107, 1, 16
Solve -4*p**3 - 5064*p**2 + 176940*p + 182000 = 0.
-1300, -1, 35
Suppose 2*w**5 - 10276*w**4 - 10280*w**3 + 10276*w**2 + 10278*w = 0. Calculate w.
-1, 0, 1, 5139
Find h such that 2*h**3/21 + 1278938*h**2/21 = 0.
-639469, 0
Suppose -24*i**3 + 18980*i**2 + 22216*i - 31680 = 0. What is i?
-2, 5/6, 792
Suppose t**2/6 - 139*t/3 + 6355/2 = 0. What is t?
123, 155
Factor 358*u**4/5 - 3226*u**3/5 + 36*u**2/5.
2*u**2*(u - 9)*(179*u - 2)/5
Suppose -4*c**4/5 - 21928*c**3/5 - 30052308*c**2/5 + 87712*c/5 + 120209296/5 = 0. What is c?
-2741, -2, 2
Factor 2*l**3/11 + 472*l**2/11 + 1864*l/11 + 1856/11.
2*(l + 2)**2*(l + 232)/11
Factor -2*j**3 + 2988*j**2 - 117120*j + 1163200.
-2*(j - 1454)*(j - 20)**2
Factor 5*k**3/6 - 133*k**2/2 - 40*k/3.
k*(k - 80)*(5*k + 1)/6
Determine c, given that -4*c**4 + 92*c**3 + 96772*c**2 - 96860*c = 0.
-145, 0, 1, 167
Factor -5*d**2 - 11120*d - 44400.
-5*(d + 4)*(d + 2220)
Factor k**4 - 1061*k**3 - 1062*k**2.
k**2*(k - 1062)*(k + 1)
Factor -v**4/6 - 27949*v**3/3 - 780811141*v**2/6 + 1562628590*v - 4688892150.
-(v - 6)**2*(v + 27955)**2/6
Factor 4*k**4 + 31164*k**3 - 4*k**2 - 31164*k.
4*k*(k - 1)*(k + 1)*(k + 7791)
Factor -v**2/2 + 35707*v/2 + 53565.
-(v - 35710)*(v + 3)/2
Solve -11*y**2/2 + 5703*y/2 - 4136 = 0 for y.
16/11, 517
Solve -f**2/6 - 49085*f/6 - 98162/3 = 0 for f.
-49081, -4
Let 2*t**5/23 - 524*t**4/23 + 1506*t**3/23 + 12488*t**2/23 - 14408*t/23 - 24864/23 = 0. What is t?
-4, -1, 2, 6, 259
Determine u so that -u**3/5 + 13*u**2/5 + 12428*u/5 + 9888 = 0.
-103, -4, 120
Solve 5*u**4 + 110*u**3 - 965*u**2 - 3590*u - 2520 = 0.
-28, -2, -1, 9
Find s such that 8*s**5 - 9412*s**4 + 3702000*s**3 - 491067848*s**2 + 1679244904*s - 717317652 = 0.
1/2, 3, 391
Find a such that -2*a**3 - 7350*a**2 - 7348*a = 0.
-3674, -1, 0
Solve -o**3 - 700*o**2 + 