given that 2*f**4/15 - 784*f**3/15 + 22618*f**2/5 = 0.
0, 129, 263
Suppose -3*l**2/5 + 22290*l - 207018375 = 0. Calculate l.
18575
Determine n so that -4*n**4/7 + 304*n**3/7 - 1024*n**2 + 39936*n/7 + 294912/7 = 0.
-4, 24, 32
Find m such that 15*m**2/4 + 2661*m/2 - 16101/4 = 0.
-1789/5, 3
Factor 3*t**2/8 + 12483*t/4 + 74871/8.
3*(t + 3)*(t + 8319)/8
Determine v so that v**2 - 32670*v - 65344 = 0.
-2, 32672
Suppose 2*v**3 - 500*v**2 + 2928*v = 0. Calculate v.
0, 6, 244
Let h**2 - 728*h + 3615 = 0. What is h?
5, 723
Let 2*q**5 + 18*q**4 - 254*q**3 - 2418*q**2 - 6516*q - 5616 = 0. What is q?
-13, -3, -2, 12
Factor 2*h**5/9 - 3968*h**4/9.
2*h**4*(h - 1984)/9
Factor -r**3/2 + 23*r**2/2 - 31*r + 20.
-(r - 20)*(r - 2)*(r - 1)/2
Factor 36*w**2 - 12848*w - 798768.
4*(w + 54)*(9*w - 3698)
Suppose -33*c**5 + 7452*c**4 + 16437*c**3 - 4716*c**2 - 16404*c - 2736 = 0. Calculate c.
-2, -1, -2/11, 1, 228
Factor 2*x**2/7 - 188*x + 84384/7.
2*(x - 586)*(x - 72)/7
Find b such that -b**3/4 + 134*b**2 - 1315*b = 0.
0, 10, 526
Factor o**5/2 - 98*o**4 - 395*o**3/2 - 99*o**2.
o**2*(o - 198)*(o + 1)**2/2
Solve 379164*b**3 + 8*b**2 = 0.
-2/94791, 0
Factor -2*b**3/9 - 14738*b**2/3 - 81416384*b/3 + 1222351360/9.
-2*(b - 5)*(b + 11056)**2/9
Factor 2*l**2/5 - 714*l + 762352/5.
2*(l - 1537)*(l - 248)/5
Solve 3*s**3/2 - 153*s**2 + 7803*s/2 - 29478 = 0.
17, 68
Solve -k**4/5 - 161*k**3/5 - 632*k**2/5 - 628*k/5 = 0.
-157, -2, 0
Factor -1068722*j**3/3 + 5349458*j**2/3 - 29248*j/3 + 40/3.
-2*(j - 5)*(731*j - 2)**2/3
Factor 2*l**2/9 - 1430*l/9 - 5752/9.
2*(l - 719)*(l + 4)/9
Suppose -2*r**4/23 - 2952*r**3/23 - 14718*r**2/23 - 11768*r/23 = 0. What is r?
-1471, -4, -1, 0
Solve -285*j**2 - 1113*j/4 + 27/4 = 0.
-1, 9/380
Solve k**2 - 2233*k - 31458 = 0.
-14, 2247
Factor 6889*r**5 - 48057*r**4 - 1161*r**3 - 7*r**2.
r**2*(r - 7)*(83*r + 1)**2
Find b such that -b**4 + 7530*b**3 + 45204*b**2 + 90424*b + 60288 = 0.
-2, 7536
Determine c, given that -2*c**3 + 308*c**2/3 + 3626*c/3 + 1104 = 0.
-9, -1, 184/3
Factor 2*a**2 - 112518*a + 225028.
2*(a - 56257)*(a - 2)
Solve 4*z**5/5 - 948*z**4/5 + 3988*z**3 - 54172*z**2/5 + 52296*z/5 - 3424 = 0 for z.
1, 20, 214
Factor -f**3 + 1700*f**2/3 - 2621*f - 2810/3.
-(f - 562)*(f - 5)*(3*f + 1)/3
Determine y so that -4*y**3 - 736668*y**2 + 1473348*y - 736676 = 0.
-184169, 1
Let -4*x**5 - 24*x**4 + 164*x**3 + 24*x**2 - 160*x = 0. What is x?
-10, -1, 0, 1, 4
Determine u so that -u**4 + 54*u**3 - 825*u**2 + 3872*u = 0.
0, 11, 32
Let o**4/6 + 3593*o**3/2 + 86185*o**2/6 + 61039*o/2 + 53855/3 = 0. Calculate o.
-10771, -5, -2, -1
Factor -25*i**2 - 22740*i + 9100.
-5*(i + 910)*(5*i - 2)
Determine k so that 2*k**4/7 + 652*k**3 + 63474*k**2/7 - 9720*k = 0.
-2268, -15, 0, 1
Suppose -s**5 - 760*s**4 - 142092*s**3 + 880894*s**2 + 142093*s - 880134 = 0. What is s?
-383, -1, 1, 6
Suppose 5*o**5 - 195*o**4 - 3565*o**3 + 9075*o**2 + 28040*o + 15600 = 0. Calculate o.
-15, -1, 4, 52
Let 2*l**4 - 12*l**3 - 198*l**2 + 648*l + 5832 = 0. What is l?
-6, 9
Factor -3*g**2/4 + 684*g - 19005/4.
-3*(g - 905)*(g - 7)/4
Factor 3*x**2 - 1011192*x + 85209105072.
3*(x - 168532)**2
Factor 6*p**3/5 + 354*p**2/5 + 210*p - 2970.
6*(p - 5)*(p + 9)*(p + 55)/5
Find h such that -h**4 - 172*h**3 + 5725*h**2 + 1420900*h - 4309500 = 0.
-130, 3, 85
Factor -k**3/2 - 88*k**2 + 359*k/2 + 267.
-(k - 3)*(k + 1)*(k + 178)/2
Determine j so that 12*j**2 - 57808*j - 38544 = 0.
-2/3, 4818
What is a in -172*a**2 - 28544*a + 1328 = 0?
-166, 2/43
Determine y so that 15*y**3/2 - 411*y**2/2 + 183*y + 396 = 0.
-1, 2, 132/5
Factor -46*x**3/3 - 10492*x**2/3 - 304*x.
-2*x*(x + 228)*(23*x + 2)/3
Find y, given that -5*y**2 - 2820*y - 24975 = 0.
-555, -9
Solve 3*x**2 - 933*x + 14994 = 0.
17, 294
Let 3*a**2/5 + 3102*a/5 + 48864/5 = 0. Calculate a.
-1018, -16
Let y**3/4 + 40*y**2 + 2447*y/4 + 572 = 0. What is y?
-143, -16, -1
Factor -5*h**2 + 286935*h - 286930.
-5*(h - 57386)*(h - 1)
Suppose -3*c**5 + 309*c**4 + 3507*c**3 - 13221*c**2 = 0. Calculate c.
-13, 0, 3, 113
Suppose -2*j**5 + 74*j**4 - 430*j**3 + 286*j**2 + 432*j - 360 = 0. Calculate j.
-1, 1, 6, 30
Factor 2*r**2/11 + 2764*r/11.
2*r*(r + 1382)/11
Determine f so that 35*f**5 - 576615*f**4 + 2374521130*f**3 + 3053744220*f**2 + 678646440*f = 0.
-1, -2/7, 0, 8238
Find i, given that -i**4/5 + 8*i**3/5 + 6471*i**2/5 + 6442*i/5 - 2584 = 0.
-76, -2, 1, 85
Determine o, given that o**5/2 + 45781*o**4/2 - 45785*o**3/2 - 137345*o**2/2 + 22892*o + 45782 = 0.
-45782, -1, 1, 2
Determine u, given that -u**4 - 55*u**3 + 1260*u**2 + 8980*u + 12496 = 0.
-71, -4, -2, 22
Determine v, given that v**3 + 31615*v**2 - 126472*v + 126476 = 0.
-31619, 2
Let 2*o**5/9 + 32*o**4/9 - 254*o**3/3 - 2528*o**2/9 - 104*o/9 + 1120/3 = 0. What is o?
-28, -2, 1, 15
Factor -5*y**2 + 30240*y - 45722880.
-5*(y - 3024)**2
Suppose -b**2/3 + 22280*b + 66841/3 = 0. Calculate b.
-1, 66841
Factor 3*k**3 + 1374*k**2 + 145755*k - 2696112.
3*(k - 16)*(k + 237)**2
Factor -2*i**2/3 + 994*i/3 - 660.
-2*(i - 495)*(i - 2)/3
Suppose 3*v**5/4 + 23*v**4/2 - 933*v**3/4 - 2023*v**2 - 4104*v - 1152 = 0. Calculate v.
-24, -4, -3, -1/3, 16
Factor 3*n**3 - 33*n**2 - 36*n.
3*n*(n - 12)*(n + 1)
Factor 3*m**2/7 + 8529*m/7 - 17070/7.
3*(m - 2)*(m + 2845)/7
What is t in 3*t**5 - 342*t**4 + 4077*t**3 - 13974*t**2 + 3420*t + 21816 = 0?
-1, 2, 6, 101
Determine m, given that 3*m**3 - 792*m**2 + 52272*m - 1022208 = 0.
44, 176
Solve -3*d**3/5 - 40818*d**2 - 694212135*d = 0 for d.
-34015, 0
Solve -4*t**3 - 3888*t**2 - 42356*t - 69192 = 0 for t.
-961, -9, -2
Factor 15071*a**3/2 - 3*a**2/2.
a**2*(15071*a - 3)/2
Find k such that -k**4/3 + 1765*k**3/3 - 294713*k**2 + 89448695*k/3 + 90334600/3 = 0.
-1, 136, 815
Suppose 18818*z**3/5 - 157528*z**2/5 + 329672*z/5 = 0. What is z?
0, 406/97
Suppose -2*z**4/11 - 130*z**3/11 - 120*z**2/11 + 520*z/11 + 512/11 = 0. What is z?
-64, -2, -1, 2
Suppose -238*i**4/9 - 5976*i**3 - 2927686*i**2/9 + 1404380*i - 211600/9 = 0. Calculate i.
-115, 2/119, 4
Suppose -f**2/12 - 5429*f/4 - 16283/3 = 0. Calculate f.
-16283, -4
Factor -2546*s**2/7 - 7626*s/7 + 36/7.
-2*(s + 3)*(1273*s - 6)/7
What is v in 14*v**4/19 - 18854*v**3/19 + 32286*v**2/19 - 8066*v/19 - 5380/19 = 0?
-2/7, 1, 1345
Factor k**2/3 - 27*k - 174.
(k - 87)*(k + 6)/3
What is j in -5*j**5 - 385*j**4 - 6285*j**3 + 47765*j**2 + 117670*j = 0?
-41, -2, 0, 7
Find p such that -2*p**3/5 + 2698*p**2/5 - 63888*p/5 + 76320 = 0.
12, 1325
Determine s so that -200*s**4/3 - 11290610*s**3/3 - 3951664*s**2 - 4064552*s/3 - 451616/3 = 0.
-56452, -2/5, -1/4
Let -h**5 + 819*h**4/4 + 2725*h**3/4 - 2165*h**2/2 - 1974*h - 416 = 0. What is h?
-4, -1, -1/4, 2, 208
Find m such that 5*m**4 - 430*m**3 + 13745*m**2 - 193500*m + 1012500 = 0.
18, 25
Determine g, given that 4*g**2 + 146308*g + 585168 = 0.
-36573, -4
Suppose j**3 - 642*j**2 - 6495*j - 16300 = 0. Calculate j.
-5, 652
Factor 3*r**3 + 1074*r**2 + 18240*r - 40800.
3*(r - 2)*(r + 20)*(r + 340)
Solve 5*f**5 + 185*f**4 - 410*f**3 - 770*f**2 + 405*f + 585 = 0 for f.
-39, -1, 1, 3
What is p in 2*p**3/21 - 94*p**2/3 - 23768*p/21 - 44888/21 = 0?
-31, -2, 362
Factor -24*u**3 - 7977*u**2 - 664332*u - 248004.
-3*(u + 166)**2*(8*u + 3)
Factor 4*g**4 - 620*g**3 + 608*g**2 + 1232*g.
4*g*(g - 154)*(g - 2)*(g + 1)
Factor t**4/4 + 39*t**3 + 2877*t**2/2 + 2761*t + 5445/4.
(t + 1)**2*(t + 55)*(t + 99)/4
Factor 3*y**5 + 186*y**4 + 3063*y**3 + 5580*y**2 + 2700*y.
3*y*(y + 1)**2*(y + 30)**2
Determine b, given that 9*b**5 + 184659*b**4 + 947346819*b**3 + 1578460005*b**2 + 315618144*b - 315679692 = 0.
-10258, -1, 1/3
Let -2*w**3 + 140*w**2 - 2014*w - 2156 = 0. Calculate w.
-1, 22, 49
Factor 3*h**3 - 10203*h**2 - 30666*h + 102120.
3*(h - 3404)*(h - 2)*(h + 5)
Find r, given that r**4/3 + 131*r**3/3 + 1316*r**2 - 22576*r/3 + 18496/3 = 0.
-68, 1, 4
Determine n, given that -98*n**5/3 + 112*n**4/3 + 542*n**3/3 - 412*n**2/3 - 200*n - 48 = 0.
-2, -3/7, 2
Factor b**3/2 + 19989*b**2/2 - b/2 - 19989/2.
(b - 1)*(b + 1)*(b + 19989)/2
Determine c so that -c**2/2 - 2027*c + 20320 = 0.
-4064, 10
Factor 4*r**3 + 32876*r**2 - 988980*r + 7424100.
4*(r - 15)**2*(r + 8249)
What is o in o**5 + 181*o**4 - 1750*o**3 - 7552*o**2 + 9120*o = 0?
-190, -4, 0, 1, 12
Let -4*r**2 - 290384*r - 5270179216 = 0. What is r?
-36298
Find h, given that 5*h**2/2 + 29025*h/2 - 305865 = 0.
-