13*y**3/3 - 4*y**2/3 + 47*y/3 - 10.
-(y - 1)**2*(13*y + 30)/3
Factor 4*w**3 - 276*w**2 + 5760*w - 32400.
4*(w - 30)**2*(w - 9)
Let -2*h**5/7 + 32*h**4 + 1152*h**3/7 + 2092*h**2/7 + 1634*h/7 + 468/7 = 0. Calculate h.
-2, -1, 117
Let 12*z**5 + 7736*z**4 - 77723*z**3/3 + 7991*z**2 - 648*z = 0. What is z?
-648, 0, 1/6, 3
Suppose -20*d**5 - 1725*d**4 - 3710*d**3 + 6060*d**2 + 15160*d + 3360 = 0. What is d?
-84, -2, -1/4, 2
Find k, given that -3*k**5 + 81*k**4 + 17097*k**3 + 33939*k**2 + 16926*k = 0.
-62, -1, 0, 91
Let s**4/6 + 59*s**3/6 - 127*s**2/2 + 581*s/6 - 130/3 = 0. What is s?
-65, 1, 4
Suppose 4*k**3 - 1674392*k**2 - 6697616*k - 6697632 = 0. What is k?
-2, 418602
Factor -r**4 - 5761*r**3 - 8271295*r**2 + 74909025*r.
-r*(r - 9)*(r + 2885)**2
Factor l**2/4 - 587*l/4 + 28193/2.
(l - 466)*(l - 121)/4
Factor j**2 - 1526*j - 1527.
(j - 1527)*(j + 1)
Factor -3*b**2 + 572940*b - 27355020300.
-3*(b - 95490)**2
What is s in 9*s**2/4 - 159*s/4 - 1995/2 = 0?
-14, 95/3
Suppose 44*s**5 - 1284*s**4 + 8152*s**3 - 12528*s**2 + 2016*s = 0. Calculate s.
0, 2/11, 2, 6, 21
Find h such that 5*h**2/2 + 23144*h + 27771/2 = 0.
-9257, -3/5
Factor -t**4/3 - 124*t**3/3 - 3403*t**2/3.
-t**2*(t + 41)*(t + 83)/3
Factor 2*i**2 - 596*i - 21846.
2*(i - 331)*(i + 33)
Solve 14*s**5/5 - 234*s**4/5 + 844*s**3/5 - 624*s**2/5 = 0 for s.
0, 1, 26/7, 12
Factor 2*q**4/7 + 236*q**3 + 347682*q**2/7 + 386096*q + 5352992/7.
2*(q + 4)**2*(q + 409)**2/7
Factor 5*d**3 - 11305*d**2 + 6615600*d - 252580500.
5*(d - 1110)**2*(d - 41)
Factor -j**3/7 - 10945*j**2/7 + 6256*j - 43796/7.
-(j - 2)**2*(j + 10949)/7
Factor 3*f**2 - 155766*f + 2021920563.
3*(f - 25961)**2
Suppose -5*p**2/2 + 49183*p - 19673/2 = 0. What is p?
1/5, 19673
Determine y, given that 2*y**2 + 655204*y + 53661535202 = 0.
-163801
Solve -3*c**2 + 50109*c - 150300 = 0 for c.
3, 16700
Determine g so that -g**5 - 2295*g**4 + 23021*g**3 - 66813*g**2 + 73748*g - 27660 = 0.
-2305, 1, 2, 6
Factor 4*a**2 - 728*a + 1440.
4*(a - 180)*(a - 2)
Solve -363*p**3 + 27984*p**2 - 30204*p + 8208 = 0 for p.
6/11, 76
Solve -o**3 + 757*o**2/5 + 5973*o/5 + 10971/5 = 0.
-23/5, -3, 159
Find k, given that 51*k**2/7 + 3783*k/7 + 666/7 = 0.
-74, -3/17
Find y, given that -y**2/3 + 9109*y/3 + 9110/3 = 0.
-1, 9110
Factor i**3/6 + 49*i**2/6 + 260*i/3 - 338.
(i - 3)*(i + 26)**2/6
Factor -l**2/6 - 209*l/3 - 5595/2.
-(l + 45)*(l + 373)/6
Factor 3*s**3 + 3556744*s**2/3 + 351400379293*s/3 - 78089148818/3.
(s + 197597)**2*(9*s - 2)/3
Solve a**3/2 + 796835*a**2/2 + 79368052944*a - 79368451362 = 0 for a.
-398418, 1
What is f in 4*f**5 - 11180*f**4/7 - 172980*f**3 - 24981620*f**2/7 + 29327200*f - 8083824 = 0?
-49, 2/7, 6, 491
Factor 25*i**3 - 4055*i**2 - 41560*i - 99760.
5*(i - 172)*(i + 4)*(5*i + 29)
What is j in j**4/4 - 353*j**3/4 + 2087*j**2/4 - 1735*j/4 = 0?
0, 1, 5, 347
Factor -4*r**2 - 2140*r - 25104.
-4*(r + 12)*(r + 523)
Solve 2*g**2 - 105972*g = 0.
0, 52986
Factor -y**2 + 367*y + 368.
-(y - 368)*(y + 1)
Suppose 365*c**4/4 + 455*c**3 + 1265*c**2/2 + 265*c - 15/4 = 0. What is c?
-3, -1, 1/73
What is h in 4*h**4/3 - 68*h**3/3 + 344*h**2/3 - 352*h/3 - 256 = 0?
-1, 4, 6, 8
Find x, given that 4*x**3 + 65796*x**2 + 328880*x = 0.
-16444, -5, 0
Factor x**2/6 - 562*x - 3374/3.
(x - 3374)*(x + 2)/6
Factor d**4/2 + 63*d**3 + 642*d**2 + 1097*d + 1035/2.
(d + 1)**2*(d + 9)*(d + 115)/2
Let 2*i**5 + 80*i**4 - 526*i**3 + 1172*i**2 - 1096*i + 368 = 0. What is i?
-46, 1, 2
Let -8*d**5/15 - 2566*d**4/15 + 5422*d**3/5 - 27418*d**2/15 + 16342*d/15 - 872/5 = 0. What is d?
-327, 1/4, 1, 4
Suppose 5125*p**2 - 5165*p + 40 = 0. Calculate p.
8/1025, 1
Solve -5*c**3 + 1195*c**2 - 89595*c + 2009205 = 0.
41, 99
Find y, given that 10*y**5 + 236*y**4 + 558*y**3 + 252*y**2 = 0.
-21, -2, -3/5, 0
Let 5*w**5 - 90*w**4 - 360*w**3 + 2720*w**2 + 9600*w = 0. Calculate w.
-4, 0, 6, 20
Solve -5*q**5 + 15550*q**4 - 12090125*q**3 = 0.
0, 1555
Solve -2601*q**4 + 434163*q**3 - 397702*q**2 - 33196*q - 664 = 0 for q.
-2/51, 1, 166
Solve 5*j**2 + 2720*j - 39060 = 0 for j.
-558, 14
Factor v**2/6 - 29009*v/6 - 4835.
(v - 29010)*(v + 1)/6
Suppose 4*f**4 + 1448*f**3 + 11348*f**2 + 6880*f - 70800 = 0. Calculate f.
-354, -5, 2
Factor 3*j**2 + 520026*j + 22535586723.
3*(j + 86671)**2
Let -8*v**3 - 1357*v**2 - 20298*v + 7803 = 0. Calculate v.
-153, -17, 3/8
Factor 5*y**3 - 48930*y**2 - 45*y + 440370.
5*(y - 9786)*(y - 3)*(y + 3)
Let -2*z**3 + 1545*z**2 + 42431*z - 67116 = 0. Calculate z.
-28, 3/2, 799
Determine t, given that -11*t**5/4 - 203*t**4 - 5385*t**3/4 + 25205*t**2 + 49319*t - 9792 = 0.
-64, -17, -2, 2/11, 9
Factor b**2/4 + 368*b - 68265/4.
(b - 45)*(b + 1517)/4
Factor -3*c**4 - 258*c**3 - 7200*c**2 - 65664*c.
-3*c*(c + 24)**2*(c + 38)
Factor -d**4/5 - 872*d**3/5 - 146806*d**2/5 + 3774888*d - 93701205.
-(d - 45)**2*(d + 481)**2/5
Factor -x**2 - 8533*x - 8532.
-(x + 1)*(x + 8532)
Factor 164*z**3 - 8380*z**2 + 816*z.
4*z*(z - 51)*(41*z - 4)
Determine h so that -h**2 + 12*h + 364 = 0.
-14, 26
Factor -3*j**4/2 + 945*j**3 - 396279*j**2/2 + 15530130*j - 405114534.
-3*(j - 249)**2*(j - 66)**2/2
Suppose -r**2/5 + 31677*r/5 + 19008 = 0. What is r?
-3, 31680
Determine c so that -3*c**2 - 3261*c - 233310 = 0.
-1010, -77
Factor -f**2 - 56860*f + 56861.
-(f - 1)*(f + 56861)
Factor -4*x**3 + 247896*x**2.
-4*x**2*(x - 61974)
Factor -o**3 - 972*o**2 - 16287*o - 49660.
-(o + 4)*(o + 13)*(o + 955)
What is r in r**4/7 + 295*r**3/7 - 30997*r**2/7 - 31291*r/7 = 0?
-377, -1, 0, 83
Let 5*j**5/3 + 655*j**4/3 + 520*j**3/3 - 17320*j**2/3 - 18320*j - 15600 = 0. What is j?
-130, -3, -2, 6
Factor 2*x**2/5 - 17322*x/5.
2*x*(x - 8661)/5
Factor -5*w**2 + 22075*w - 220250.
-5*(w - 4405)*(w - 10)
Solve a**5/2 - 338*a**4 + 54298*a**3 + 973760*a**2 - 2474592*a - 68956416 = 0 for a.
-12, 8, 346
Factor -2*g**2/13 + 132*g/13 + 19454/13.
-2*(g - 137)*(g + 71)/13
Factor -v**3/3 + 8308*v**2 - 16615*v + 24922/3.
-(v - 24922)*(v - 1)**2/3
Suppose -c**5/2 - 4*c**4 + 685*c**3/2 + 4540*c**2 - 342*c - 4536 = 0. Calculate c.
-18, -1, 1, 28
Determine s, given that -403*s**2/3 + 56821*s/9 + 94/9 = 0.
-2/1209, 47
Factor -13*x**2/4 + 12377*x/4 - 238.
-(x - 952)*(13*x - 1)/4
Solve 4*j**4 + 48*j**3 - 2772*j**2 = 0.
-33, 0, 21
Factor -3*t**4 + 4191*t**3 - 4188*t**2.
-3*t**2*(t - 1396)*(t - 1)
Find w such that -2*w**3 - 14*w**2 + 652*w + 1344 = 0.
-21, -2, 16
Determine b, given that -2*b**4/7 + 104*b**3 - 1440*b**2/7 - 416*b + 5792/7 = 0.
-2, 2, 362
Solve -c**5/5 + 63*c**4/5 - 1414*c**3/5 + 12378*c**2/5 - 3173*c - 202521/5 = 0 for c.
-3, 11, 17, 19
Factor 2*o**2 - 6634*o - 19920.
2*(o - 3320)*(o + 3)
Solve -2*k**2 - 322*k - 11948 = 0 for k.
-103, -58
Determine h so that -3*h**5 + 1551*h**4 + 9381*h**3 + 17241*h**2 + 9414*h = 0.
-3, -2, -1, 0, 523
Solve -7*h**4/5 + 56037*h**3/5 - 407954*h**2/5 + 89580*h - 95976/5 = 0.
2/7, 1, 6, 7998
Factor b**4 + 1975*b**3 - 17829*b**2 + 53541*b - 53568.
(b - 3)**3*(b + 1984)
Find v, given that -2*v**5 + 781*v**4/2 - 1743*v**3/2 + 1159*v**2/2 - 193*v/2 = 0.
0, 1/4, 1, 193
Suppose -36*o**5 - 564*o**4 + 9584*o**3 - 2624*o**2 - 8576*o + 4160 = 0. What is o?
-26, -1, 2/3, 10
Solve 6084*m**5 - 298272*m**4 + 3505945*m**3 + 3712751*m**2 - 96925*m + 625 = 0 for m.
-1, 1/78, 25
Find o such that -34*o**2/3 - 18712*o/3 - 2200 = 0.
-550, -6/17
Factor -2*o**2 + 20218*o.
-2*o*(o - 10109)
Solve -3*k**4 + 4818*k**3 - 2032959*k**2 + 79121196*k - 809046252 = 0.
21, 782
Find t such that -t**4/4 - 73*t**3/2 - 4847*t**2/4 - 4559*t/2 = 0.
-97, -47, -2, 0
Let -2*r**4/7 - 398*r**3/7 - 4112*r**2/7 + 4512*r/7 = 0. What is r?
-188, -12, 0, 1
Factor d**2 - 6152*d - 6153.
(d - 6153)*(d + 1)
Factor -m**3/2 - 2507*m**2/2 + 3764*m - 2510.
-(m - 2)*(m - 1)*(m + 2510)/2
Solve -3*k**2 + 4080*k + 4083 = 0.
-1, 1361
Suppose -2*w**3 + 152*w**2 - 3138*w + 17388 = 0. What is w?
9, 21, 46
Factor 2*w**3/11 + 1956*w**2/11 + 24150*w + 888272.
2*(w + 77)**2*(w + 824)/11
Solve -1065*i**3 + 1315*i**2 + 1880*i - 500 = 0.
-1, 50/213, 2
Suppose -549*u**4/2 - 50901*u**3/2 - 598929*u**2 - 416622*u - 19044 = 0. What is u?
-46, -2/3, -3/61
What is x in -3*x**4 - 80328*x**3 - 80325*x**2 = 0?
-26775, -1, 0
Solve 2*t**2/7 - 648*t/7 + 16038/7 = 0 for t.
27, 297
Factor -51*w**3/4 - 10278*w**2 - 1209*w.
-3*w*(w + 806)*(17*w + 2)/4
Factor p**4/4 - p**3/4 - 2*p**2 + 3*p.
p*(p - 2)**2*(p +