11 = 0.
-2/3, 1, 87, 112
Suppose -v**5/4 - v**4 + 15*v**3 + 45*v**2/2 - 459*v/4 - 243/2 = 0. Calculate v.
-9, -3, -1, 3, 6
Solve -189*o**2 - 60*o = 0 for o.
-20/63, 0
Suppose -35*k**5 - 835*k**4 - 610*k**3 + 1840*k**2 = 0. Calculate k.
-23, -2, 0, 8/7
Factor 3*w**2/5 + 37716*w/5 + 118541388/5.
3*(w + 6286)**2/5
Find q, given that 5*q**2 + 21500*q = 0.
-4300, 0
Let 5*b**2 - 115*b - 250 = 0. Calculate b.
-2, 25
Factor -3*r**3/5 + 7971*r**2/5 - 5354013*r/5 + 15705369.
-3*(r - 1321)**2*(r - 15)/5
Factor -11250*b**2/7 + 67532*b/7 - 192/7.
-2*(b - 6)*(5625*b - 16)/7
Factor -3*r**2 - 595794*r - 29580874203.
-3*(r + 99299)**2
Determine l so that -5*l**5 - 995*l**4 - 49455*l**3 - 945945*l**2 - 6297480*l = 0.
-136, -21, 0
Solve 60*s**5/7 - 54296*s**4/7 + 212692*s**3/7 - 50152*s**2/7 - 273808*s/7 - 86496/7 = 0.
-2/3, -2/5, 2, 3, 901
Let -2*u**4/3 - 134*u**3/3 + 346*u**2 + 134*u/3 - 1036/3 = 0. Calculate u.
-74, -1, 1, 7
Determine g, given that 4*g**3/7 + 84300*g**2/7 + 674208*g/7 + 1348288/7 = 0.
-21067, -4
Factor -2*j**3 + 6414*j**2 + 12834*j + 6418.
-2*(j - 3209)*(j + 1)**2
Let 3*c**3 - 10134*c**2 - 81291*c + 91422 = 0. Calculate c.
-9, 1, 3386
What is m in 4*m**4 + 8444*m**3 + 3852276*m**2 - 657314044*m + 653453320 = 0?
-1121, 1, 130
Factor -g**5/8 + 905*g**4/4 - 3617*g**3/8 + 226*g**2.
-g**2*(g - 1808)*(g - 1)**2/8
Solve 26*j**3 + 3567*j**2 + 685*j = 0 for j.
-137, -5/26, 0
Determine m, given that m**3/5 + 38184*m**2/5 + 364466277*m/5 - 729085298/5 = 0.
-19093, 2
Suppose -96*k**3/5 - 566*k**2/5 - 84*k + 10 = 0. What is k?
-5, -1, 5/48
Let 4*i**4 + 14372*i**3 - 12*i**2 - 43108*i + 28744 = 0. What is i?
-3593, -2, 1
Let 2*c**4/11 + 30*c**3/11 + 12*c**2 + 232*c/11 + 144/11 = 0. What is c?
-9, -2
Suppose -a**2 - 103*a + 3354 = 0. What is a?
-129, 26
Determine n so that 2*n**3/13 + 190*n**2/13 - 2546*n/13 + 2354/13 = 0.
-107, 1, 11
What is l in 2*l**5/13 + 70*l**4/13 + 414*l**3/13 - 3446*l**2/13 + 5360*l/13 - 2400/13 = 0?
-20, 1, 3
What is h in 2*h**3 + 8214*h**2 + 24624*h = 0?
-4104, -3, 0
Determine l so that 5*l**2 + 24935*l - 174790 = 0.
-4994, 7
Solve 2*m**2/9 + 3388*m/9 + 3386/9 = 0.
-1693, -1
Determine i so that -3*i**3/2 - 1116*i**2 - 4446*i - 4440 = 0.
-740, -2
Factor -2*v**2/19 + 19386*v/19 + 19388/19.
-2*(v - 9694)*(v + 1)/19
Suppose 2*d**3 - 106*d**2 - 14138*d - 14030 = 0. What is d?
-61, -1, 115
Factor -j**4 - 26*j**3 - 71*j**2 - 46*j.
-j*(j + 1)*(j + 2)*(j + 23)
Determine o, given that -10*o**4 + 155*o**3 + 6070*o**2 - 9545*o - 6270 = 0.
-19, -1/2, 2, 33
Factor 3*v**3/2 - 4815*v**2/2 - 28971*v/2 - 43497/2.
3*(v - 1611)*(v + 3)**2/2
Let -f**4 - 557*f**3 + 34167*f**2 - 98587*f + 64978 = 0. What is f?
-613, 1, 2, 53
Let -16*o**2 + 8412*o - 23012 = 0. What is o?
11/4, 523
Factor -r**2 + 6559*r + 6560.
-(r - 6560)*(r + 1)
Suppose -58*b**3 - 4164*b**2 = 0. Calculate b.
-2082/29, 0
Factor -2*i**3/3 - 1592*i**2/3 + 8*i/3 + 6368/3.
-2*(i - 2)*(i + 2)*(i + 796)/3
Suppose -21*n**3/4 + 585*n**2/8 - 231*n - 135/8 = 0. What is n?
-1/14, 5, 9
Find v, given that 2*v**3/11 - 788*v**2/11 - 40574*v/11 + 3760 = 0.
-47, 1, 440
Suppose o**4/4 - 107*o**3/4 + 3705*o**2/4 - 39893*o/4 - 21853/2 = 0. Calculate o.
-1, 26, 41
Factor -4*q**2 + 768*q + 16036.
-4*(q - 211)*(q + 19)
Solve -4*z**2 - 2620*z + 13200 = 0 for z.
-660, 5
Find b such that 1224*b**2/13 + 2450*b/13 + 4/13 = 0.
-2, -1/612
Suppose -3*r**3/8 - 3717*r**2/4 - 1153197*r/2 - 1149483 = 0. Calculate r.
-1238, -2
Suppose -1225*l**2/4 + l/2 = 0. What is l?
0, 2/1225
Find d such that -2*d**3/5 - 5956*d**2/5 + 5958*d/5 = 0.
-2979, 0, 1
Factor 2*l**2 - 370*l - 3088.
2*(l - 193)*(l + 8)
Determine j, given that 4*j**5 + 852*j**4 + 63716*j**3 + 1922268*j**2 + 18116424*j = 0.
-82, -57, -17, 0
Factor -5*f**3 - 49245*f**2 + 1381800*f - 9679460.
-5*(f - 14)**2*(f + 9877)
Factor 86*d**5 + 1298*d**4 + 6570*d**3 + 11350*d**2 + 1000*d.
2*d*(d + 5)**3*(43*d + 4)
Solve 261*p**4 - 2448*p**3 + 2983*p**2 - 828*p + 32 = 0.
4/87, 1/3, 1, 8
Factor t**2/6 + 287*t/6 + 550.
(t + 12)*(t + 275)/6
Factor -2*c**3/11 - 16*c**2/11 + 130*c/11.
-2*c*(c - 5)*(c + 13)/11
Find d, given that 2478080*d**3 - 9947520*d**2 + 140925*d - 500 = 0.
5/704, 4
Let 30*g**4 - 3051*g**3/5 - 8967*g**2/5 - 4806*g/5 - 552/5 = 0. Calculate g.
-2, -1/2, -4/25, 23
Factor l**2/4 - 2393*l/4 + 52923.
(l - 2301)*(l - 92)/4
Factor -4*f**3 - 21028*f**2 - 63032*f + 84064.
-4*(f - 1)*(f + 4)*(f + 5254)
Suppose 2*m**2/5 - 726276*m/5 + 65934603522/5 = 0. What is m?
181569
Factor -4*n**3 + 8236*n**2 + 16*n - 32944.
-4*(n - 2059)*(n - 2)*(n + 2)
What is q in 11*q**4/4 - 107*q**3/4 + 311*q**2/4 - 237*q/4 - 45/2 = 0?
-3/11, 2, 3, 5
Factor -4*p**2 + 524*p - 15136.
-4*(p - 88)*(p - 43)
Solve -n**3 + 314*n**2 - 27232*n + 394272 = 0 for n.
18, 148
Factor -x**2/8 - 143*x/8 - 1173/2.
-(x + 51)*(x + 92)/8
Let k**2/7 + 7981*k/7 = 0. What is k?
-7981, 0
Factor 5*i**2 + 237270*i + 2814852645.
5*(i + 23727)**2
Solve -3*t**4/2 + 891*t**3 - 1653*t**2/2 - 37359*t = 0 for t.
-6, 0, 7, 593
Factor 34*k**2/13 + 2748*k/13 - 486/13.
2*(k + 81)*(17*k - 3)/13
Factor -p**3/3 + 56429*p**2/3 - 796086224*p/3 + 796029796/3.
-(p - 28214)**2*(p - 1)/3
What is h in -h**4 - 40001*h**3 - 400239915*h**2 - 4397800275*h = 0?
-19995, -11, 0
Solve 2*y**4/13 + 732*y**3 + 11281154*y**2/13 - 6977424*y + 181718048/13 = 0.
-2383, 4
Suppose 130*l**4 + 758*l**3 - 144*l**2 - 72*l = 0. What is l?
-6, -3/13, 0, 2/5
Solve b**2/3 - 325*b/3 - 6822 = 0.
-54, 379
Factor -4*w**3 + 2*w**2 + 16*w - 8.
-2*(w - 2)*(w + 2)*(2*w - 1)
Factor 50*g**3/7 + 19580*g**2 + 93790008*g/7 - 188128656/7.
2*(g - 2)*(5*g + 6858)**2/7
Let -g**3 + 5098*g**2 - 10192*g = 0. Calculate g.
0, 2, 5096
Factor 2*m**3 - 956*m**2 + 116130*m - 449352.
2*(m - 237)**2*(m - 4)
Determine y, given that -y**2 - 116843*y - 116842 = 0.
-116842, -1
Factor -16*o**2/23 + 1586*o/23 - 21414/23.
-2*(o - 83)*(8*o - 129)/23
Suppose -2*r**5/15 - 44*r**4/15 + 268*r**3/15 + 6176*r**2/15 + 5182*r/3 + 5980/3 = 0. What is r?
-23, -5, -2, 13
Factor -2*t**2/9 - 412*t/9 + 132770/3.
-2*(t - 355)*(t + 561)/9
Let 4*q**3 + 672*q**2 - 91492*q = 0. Calculate q.
-257, 0, 89
Solve -5*h**5 - 160*h**4 - 1560*h**3 - 3200*h**2 + 14000*h = 0 for h.
-14, -10, 0, 2
Factor n**2/4 - 481*n/4 - 58233/2.
(n - 658)*(n + 177)/4
Solve 8*n**3 - 53660*n**2 - 80504*n - 26836 = 0 for n.
-1, -1/2, 6709
Determine a, given that -24*a**5 + 339*a**4 + 750*a**3 - 435*a**2 - 726*a + 96 = 0.
-2, -1, 1/8, 1, 16
Determine q so that -14*q**5 - 1592*q**4/3 + 278*q**3/3 + 1620*q**2 + 2728*q/3 - 304/3 = 0.
-38, -1, 2/21, 2
Suppose -2*u**2/15 - 316*u/5 - 3458/3 = 0. What is u?
-455, -19
Factor -2709*t**2/5 + 35151*t/5 + 858/5.
-3*(t - 13)*(903*t + 22)/5
Find q, given that 2*q**5/9 + 112*q**4/9 - 8326*q**3/9 - 8876*q**2/9 + 33272*q/9 + 33712/9 = 0.
-98, -2, -1, 2, 43
Solve -3*g**3 + 2211*g**2 - 4413*g + 2205 = 0.
1, 735
Factor 4*a**3/5 - 7868*a**2 + 95796108*a/5 + 4589734428/5.
4*(a - 4941)**2*(a + 47)/5
Factor -2*d**4 + 2544*d**3 - 761904*d**2 - 29947968*d - 277159968.
-2*(d - 654)**2*(d + 18)**2
Solve 2*l**5 + 804*l**4 + 83920*l**3 + 620140*l**2 - 83922*l - 620944 = 0 for l.
-197, -8, -1, 1
Factor 4*a**2 - 50076*a - 100168.
4*(a - 12521)*(a + 2)
Solve z**2/4 - 749*z = 0.
0, 2996
Let 18*k**5/7 - 303*k**4/7 - 2754*k**3/7 + 71280*k**2/7 - 272976*k/7 - 59895 = 0. What is k?
-15, -7/6, 11
Factor 3*a**2 + 39366*a + 432663.
3*(a + 11)*(a + 13111)
Let 2*o**2 - 16174*o - 48540 = 0. Calculate o.
-3, 8090
Factor -j**3/5 - 189*j**2 - 11232*j/5 - 33588/5.
-(j + 6)**2*(j + 933)/5
Find x such that -4*x**2 - 137829*x + 137833 = 0.
-137833/4, 1
Factor 297*p**3 - 1214*p**2 + 1292*p - 104.
(p - 2)**2*(297*p - 26)
Suppose 2*i**3/13 + 638*i**2/13 + 1268*i/13 = 0. What is i?
-317, -2, 0
Factor -2*m**3 - 979598*m**2 - 119951040400*m + 119952020000.
-2*(m - 1)*(m + 244900)**2
Factor -135*j**4 + 51435*j**3 - 6878970*j**2 + 362063300*j - 5276511880.
-5*(j - 23)*(3*j - 358)**3
Factor 2*l**4 - 202*l**3 + 5200*l**2 - 5000*l.
2*l*(l - 50)**2*(l - 1)
Factor 5*p**2 - 103340*p - 723625.
5*(p - 20675)*(p + 7)
Factor -3*h**3/2 + 84*h**2 - 1329*h/2 - 5610.
-3*(h - 44)*(h - 17)*(h + 5)/2
Factor 3*l**3/4 + 957*l**2/2 + 305283*l/4.
3*l*(l + 319)**2/4
Suppose y**4 + 13379*y**3 + 44822914*y**2 + 491568096*y + 446758560 = 0. Calculate y.
-6684, -10, -1
Factor j**2/9