, -2, 0, 2
Factor 2*a**4/7 - 263624*a**3/7 + 8687201672*a**2/7.
2*a**2*(a - 65906)**2/7
Let 2*d**2/3 - 1108*d/3 + 13390 = 0. What is d?
39, 515
Solve -6*f**4 + 12*f**3 + 368*f**2/3 - 172*f + 130/3 = 0 for f.
-13/3, 1/3, 1, 5
Solve 15*t**4/4 + 969*t**3/4 + 12153*t**2/4 + 34131*t/4 + 5733 = 0.
-49, -12, -13/5, -1
Let 3*a**4/4 + 109*a**3/2 - 5697*a**2/4 - 121068*a - 80063 = 0. Calculate a.
-59, -2/3, 46
Factor g**4 - 1646*g**3 + 913812*g**2 - 176845928*g + 3184401760.
(g - 542)**3*(g - 20)
Factor 123*r**3 - 8349*r**2 + 141168*r + 17340.
3*(r - 34)**2*(41*r + 5)
Solve -b**2/6 - 3611*b/6 + 602 = 0.
-3612, 1
Solve g**5 + 19*g**4 - 582*g**3 - 3960*g**2 = 0 for g.
-33, -6, 0, 20
Factor n**4/6 - 49621*n**3/6 + 205145613*n**2/2 + 1026141615*n/2.
n*(n - 24813)**2*(n + 5)/6
Let -8*a**5/3 + 254*a**4/3 + 23776*a**3/3 - 14152*a**2 - 4032*a = 0. What is a?
-42, -1/4, 0, 2, 72
Suppose 2*o**5/9 - 278*o**4/9 + 6142*o**3/9 - 10378*o**2/9 - 5600*o/3 = 0. Calculate o.
-1, 0, 3, 25, 112
Factor 5*k**5 - 11010*k**4 + 11005*k**3.
5*k**3*(k - 2201)*(k - 1)
Suppose 196*o**4/5 - 291284*o**3/5 + 108947728*o**2/5 - 538638336*o/5 + 429981696/5 = 0. Calculate o.
1, 4, 5184/7
Suppose x**3 + 296*x**2 + 2893*x - 68970 = 0. What is x?
-285, -22, 11
Determine s so that 4*s**5 + 1064*s**4 + 104856*s**3 + 4567824*s**2 + 76985316*s + 136521288 = 0.
-81, -51, -2
What is v in -2*v**5/15 - 46*v**4/15 + 92*v**3/15 + 2992*v**2/15 - 4672*v/5 + 5376/5 = 0?
-21, -12, 2, 4
Factor -112760*k**2 + 112765*k - 5.
-5*(k - 1)*(22552*k - 1)
Suppose -8*x**2 + 20521*x/2 + 8981/2 = 0. Calculate x.
-7/16, 1283
Factor 4*z**3/7 + 216060*z**2/7 + 416849184*z + 1250269776.
4*(z + 3)*(z + 27006)**2/7
Factor -y**3/9 - 1115*y**2/9 + 2233*y/9 - 1117/9.
-(y - 1)**2*(y + 1117)/9
Suppose b**4/2 - 313*b**3/2 - 11733*b**2/2 - 22523*b/2 - 5552 = 0. Calculate b.
-32, -1, 347
What is v in v**5/2 - 28*v**4 - 1139*v**3/2 - 483*v**2 + 1080*v = 0?
-15, -2, 0, 1, 72
Find n, given that -2*n**3/3 + 1506*n**2 - 22528*n/3 - 9016 = 0.
-1, 6, 2254
Factor -2*z**2/5 - 3602*z/5 + 332464/5.
-2*(z - 88)*(z + 1889)/5
Factor 4*w**3 - 13194*w**2/7 + 2826*w/7.
2*w*(w - 471)*(14*w - 3)/7
Factor 3*h**2/2 + 393*h + 35055/2.
3*(h + 57)*(h + 205)/2
What is y in 2*y**5/13 - 12*y**4/13 - 100*y**3/13 - 120*y**2/13 + 98*y/13 + 132/13 = 0?
-3, -2, -1, 1, 11
Let s**3 - 8205*s**2 + 16973175*s - 584052875 = 0. Calculate s.
35, 4085
What is x in x**4/9 + 5*x**3/3 - 253*x**2/9 - 241*x/3 + 440 = 0?
-24, -5, 3, 11
Let -2*r**4/5 + 68*r**3/5 + 1106*r**2/5 - 68*r/5 - 1104/5 = 0. What is r?
-12, -1, 1, 46
Find j such that 3*j**2 + 271239*j - 542490 = 0.
-90415, 2
Find k such that 2*k**2 - 1252*k + 9888 = 0.
8, 618
Factor -4*u**4 + 72*u**3 - 356*u**2 + 528*u.
-4*u*(u - 11)*(u - 4)*(u - 3)
Solve 2*a**5/3 + 142*a**4 + 8968*a**3/3 + 43744*a**2/3 + 26944*a + 51680/3 = 0 for a.
-190, -17, -2
Determine v so that -v**2/7 + 2628*v/7 - 2627/7 = 0.
1, 2627
Factor 2*w**2 - 598554*w.
2*w*(w - 299277)
Solve -3*w**3 + 62184*w**2 + 3*w - 62184 = 0 for w.
-1, 1, 20728
Factor 3*l**3/2 - 218169*l**2/2 + 436329*l/2 - 218163/2.
3*(l - 72721)*(l - 1)**2/2
Determine n, given that -n**2 + 774*n + 48256 = 0.
-58, 832
What is l in 372490*l**4/11 - 3952254*l**3/11 - 1598030*l**2/11 + 16878*l/11 - 4 = 0?
-2/5, 1/193, 11
Factor -j**3 - 34570*j**2 + 138292*j - 138296.
-(j - 2)**2*(j + 34574)
Factor -c**5 + 75*c**4 + 76*c**3.
-c**3*(c - 76)*(c + 1)
Factor 2*y**5 - 92*y**4 + 960*y**3.
2*y**3*(y - 30)*(y - 16)
Suppose -3*u**5 + 198*u**4 - 540*u**3 - 1782*u**2 + 5103*u = 0. What is u?
-3, 0, 3, 63
Suppose 33*m**4 - 657*m**3 - 819*m**2 + 1317*m + 126 = 0. Calculate m.
-2, -1/11, 1, 21
Determine q, given that -q**5 + 60*q**4 - 167*q**3 - 228*q**2 = 0.
-1, 0, 4, 57
Solve -4*k**2 - 2006280*k - 251572464900 = 0 for k.
-250785
Let 118083*p**3 - 3*p**2 = 0. What is p?
0, 1/39361
What is u in -u**4/4 - 39*u**3/2 + 5415*u**2/4 + 1411*u - 2745 = 0?
-122, -2, 1, 45
Determine z, given that 20*z**5 + 3345*z**4 + 158880*z**3 + 1492870*z**2 - 2989140*z + 1334025 = 0.
-77, -15, 3/4, 1
Suppose 529*u**4/3 + 11040*u**3 + 447928*u**2/3 - 735360*u + 2347024/3 = 0. What is u?
-766/23, 2
Let -u**5/4 + 325*u**4/2 - 161*u**3 - 1621*u**2/2 - 1947*u/4 = 0. Calculate u.
-1, 0, 3, 649
Find v, given that -2*v**4/9 - 382*v**3/3 - 8304*v**2 + 28492408*v/9 = 0.
-346, 0, 119
Find g such that -11*g**4 + 61*g**3 + 4370*g**2 + 25100*g - 15000 = 0.
-10, 6/11, 25
Factor 20*f**3 + 49432*f**2 + 128364*f - 59256.
4*(f + 3)*(f + 2469)*(5*f - 2)
Factor -3*b**2/4 - 7809*b/2 + 645381/4.
-3*(b - 41)*(b + 5247)/4
Let -5*j**3 - 8235*j**2 + 5*j + 8235 = 0. What is j?
-1647, -1, 1
Solve -r**2/4 + 2053*r/4 + 1542 = 0 for r.
-3, 2056
Factor 3*y**3/2 - 91944*y**2 + 1408949856*y.
3*y*(y - 30648)**2/2
Let h**2/4 - 99501*h/4 + 24875 = 0. Calculate h.
1, 99500
Let -2*w**5/19 - 13896*w**4/19 + 153080*w**3/19 - 125284*w**2/19 - 153078*w/19 + 139180/19 = 0. What is w?
-6959, -1, 1, 10
Find c such that 2*c**4 + 42*c**3 - 512*c**2 + 840*c = 0.
-30, 0, 2, 7
Let 5*j**5 + 1475*j**4 + 4380*j**3 = 0. Calculate j.
-292, -3, 0
Factor -2*w**3/5 - 222*w**2/5 - 862*w/5 - 642/5.
-2*(w + 1)*(w + 3)*(w + 107)/5
Solve 2*a**3/3 + 842*a**2/9 - 34352*a/3 + 7592 = 0 for a.
-219, 2/3, 78
Determine r so that -3*r**4/4 + 27*r**3/2 + 177*r**2/4 - 1026*r - 1056 = 0.
-8, -1, 11, 16
Solve 3*x**2 - 9534*x = 0 for x.
0, 3178
Suppose 4*n**4/5 - 452*n**3 + 318092*n**2/5 + 320356*n/5 = 0. Calculate n.
-1, 0, 283
Factor u**4/2 + 5*u**3 - 103*u**2/2 + 130*u - 102.
(u - 3)*(u - 2)**2*(u + 17)/2
Factor 5*v**4 - 7205*v**3 + 3806730*v**2 - 866406780*v + 70603154280.
5*(v - 414)**3*(v - 199)
Factor c**4/6 + 26*c**3/3 + 225*c**2/2 - 26*c/3 - 338/3.
(c - 1)*(c + 1)*(c + 26)**2/6
Let -5*d**5 - 100*d**4 + 1515*d**3 + 310*d**2 - 4300*d - 3000 = 0. What is d?
-30, -1, 2, 10
Determine l so that 4*l**4/15 - 82*l**3/5 - 2056*l**2/15 - 322*l/5 = 0.
-7, -1/2, 0, 69
What is t in t**4 - 181*t**3 + 866*t**2 + 2464*t = 0?
-2, 0, 7, 176
Factor -15*f**3 - 44305*f**2 - 32215200*f + 741738240.
-5*(f + 1488)**2*(3*f - 67)
Factor -4*j**4 - 296*j**3 - 836*j**2 + 1136*j.
-4*j*(j - 1)*(j + 4)*(j + 71)
Let l**3/10 - 247*l**2/5 - 4639*l/10 + 28168/5 = 0. Calculate l.
-16, 7, 503
What is d in -d**2/6 + 2113*d/6 + 4234/3 = 0?
-4, 2117
What is r in -104*r**2 + 64892*r/3 + 832/3 = 0?
-1/78, 208
Factor 6184*r**5/9 + 12418*r**4/9 + 100*r**3/9.
2*r**3*(r + 2)*(3092*r + 25)/9
Let 26*q**2/7 - 690880*q + 744024/7 = 0. Calculate q.
2/13, 186006
Factor 3*k**3/4 + 327*k**2.
3*k**2*(k + 436)/4
What is z in z**4/3 - 581*z**3/3 + 4603*z**2/3 - 3633*z + 2292 = 0?
1, 3, 4, 573
Find y such that 5*y**3/2 + 44205*y**2 - 5*y/2 - 44205 = 0.
-17682, -1, 1
Factor 8*w**2 - 9575*w.
w*(8*w - 9575)
Factor h**2/7 + 46099*h/7.
h*(h + 46099)/7
Find y such that -2*y**5/17 - 110*y**4/17 - 1214*y**3/17 - 2698*y**2/17 + 416*y/17 + 3608/17 = 0.
-41, -11, -2, 1
Determine z, given that -7*z**5/2 - 109*z**4/2 + 218*z**3 - 190*z**2 = 0.
-19, 0, 10/7, 2
Suppose -2*r**2 - 22*r + 11952 = 0. What is r?
-83, 72
Let 2*l**3/5 - 3972*l**2/5 - 7974*l - 19960 = 0. Calculate l.
-5, 1996
Suppose -s**2 + 113200*s - 113199 = 0. Calculate s.
1, 113199
Factor 3698*h**3 - 35315556*h**2 - 3285192*h - 76400.
2*(h - 9550)*(43*h + 2)**2
Find d, given that 3*d**3/4 - 47061*d**2/4 + 94086*d - 188148 = 0.
4, 15679
Factor l**5/5 + 851*l**4 + 4524128*l**3/5 - 4528384*l**2/5.
l**2*(l - 1)*(l + 2128)**2/5
What is m in m**5/5 + 14*m**4 - 368*m**3/5 + 522*m**2/5 - 45*m = 0?
-75, 0, 1, 3
Factor -3*a**3 + 75479*a**2 - 474744040*a - 158256400.
-(a - 12580)**2*(3*a + 1)
Let 2*j**5 + 2586*j**4/13 + 6206*j**3/13 - 258*j**2/13 - 6232*j/13 - 2328/13 = 0. Calculate j.
-97, -2, -1, -6/13, 1
Factor 3*d**2 + 1089*d + 3240.
3*(d + 3)*(d + 360)
Suppose -c**3/4 - 2260*c**2 + 9047*c/4 + 27123/2 = 0. What is c?
-9041, -2, 3
Determine a, given that -a**2/3 - 155*a/3 + 1826/3 = 0.
-166, 11
Suppose -5*t**2 + 3084620*t - 475744027220 = 0. What is t?
308462
Factor 3*j**2 - 1997325*j - 1997328.
3*(j - 665776)*(j + 1)
Factor z**2/2 + 474387*z + 225043025769/2.
(z + 474387)**2/2
Factor 4*j**3 - 1480*j**2 + 57196*j + 58680.
4*(j - 326)*(j - 45)*(j + 1)
Suppose a**5/7 - 26*a**4/7 - 405*a**3/7 + 4850*a**2/7 - 11356*a/7 + 6936/7 = 0. What is a?
-17, 1, 2, 6, 34
Factor -3*i**2/2 - 2121*i/2 - 11484.
-3*(i + 11)*