x**4 - 7670*x**3 - 7685*x**2 + 15350*x = 0.
-2, 0, 1, 1535
Factor 3*y**3/5 - 213*y**2/5 + 1716*y/5 - 2604/5.
3*(y - 62)*(y - 7)*(y - 2)/5
What is x in x**5 + 278*x**4 - 7*x**3 - 1940*x**2 + 1668*x = 0?
-278, -3, 0, 1, 2
Suppose 242*n**3/9 - 6116*n**2 - 3342*n - 456 = 0. What is n?
-3/11, 228
Find n such that n**4/4 + 15851*n**3/2 + 251254201*n**2/4 = 0.
-15851, 0
Let 2*i**2 + 4196*i - 153648 = 0. Calculate i.
-2134, 36
Solve -v**2/10 + 815*v/2 + 8158/5 = 0 for v.
-4, 4079
Factor i**3 - 4758*i**2 + 4715*i + 199794.
(i - 4757)*(i - 7)*(i + 6)
Factor -w**2 - 217*w - 2460.
-(w + 12)*(w + 205)
Solve 3*z**2 + 408*z + 405 = 0.
-135, -1
Determine p so that -p**4/7 + 15656*p**3/7 - 234690*p**2/7 + 167600*p - 1955125/7 = 0.
5, 15641
Factor -3*s**5/4 + 14791*s**4/2 - 4930*s**3.
-s**3*(s - 9860)*(3*s - 2)/4
Find b, given that -b**2 - 705*b - 75636 = 0.
-573, -132
What is v in -2*v**4 + 67336*v**3 - 566834444*v**2 + 1133466888*v - 566699778 = 0?
1, 16833
Factor 36*x**2 - 367660*x - 81704.
4*(x - 10213)*(9*x + 2)
Determine p, given that -p**3/5 + 96*p**2/5 - 19*p = 0.
0, 1, 95
Suppose -v**2/2 + 1057*v/2 - 19851 = 0. Calculate v.
39, 1018
Let 3*s**5/4 - 111*s**4/4 - 57*s**3/2 + 2217*s**2/2 - 8097*s/4 + 3885/4 = 0. Calculate s.
-7, 1, 5, 37
Find m, given that -m**5/7 + 188*m**4/7 - 2609*m**3/7 + 346*m**2 = 0.
0, 1, 14, 173
Factor 56*a**3 + 1172*a**2 - 144*a - 1260.
4*(a + 1)*(a + 21)*(14*a - 15)
Solve 22*r**2/3 + 37154*r/3 - 2252 = 0.
-1689, 2/11
Factor 4*i**2/7 - 440032*i/7 - 880080/7.
4*(i - 110010)*(i + 2)/7
Determine h, given that 50*h**5 - 460*h**4 + 1148*h**3 - 1224*h**2 + 594*h - 108 = 0.
3/5, 1, 6
Factor -k**2 - 9802*k + 19608.
-(k - 2)*(k + 9804)
Factor -3*p**3 - 691875*p**2 - 39890572029*p + 39891263907.
-3*(p - 1)*(p + 115313)**2
Let 5*v**2/3 - 17360*v - 416960/3 = 0. Calculate v.
-8, 10424
Solve -2*p**3/3 + 2500*p**2/3 + 12578*p/3 - 35140/3 = 0.
-7, 2, 1255
Determine a so that -655564816*a**2 - 307248*a - 36 = 0.
-3/12802
Solve 22*a**3/5 - 547686*a**2/5 - 647292*a/5 - 99584/5 = 0.
-1, -2/11, 24896
Determine d, given that 4*d**5 - 2636*d**4 - 5307*d**3 + 12536*d**2 + 15197*d + 3966 = 0.
-3, -1/2, 2, 661
Find c such that -2*c**4 - 1136*c**3 + 15010*c**2 - 55704*c + 41832 = 0.
-581, 1, 6
Factor k**2/4 - 1289*k/4 - 2594.
(k - 1297)*(k + 8)/4
Suppose -3*g**3 - 9831*g**2/7 = 0. Calculate g.
-3277/7, 0
Solve -5*z**5 - 1031*z**4 - 1226*z**3 + 826*z**2 + 1231*z + 205 = 0 for z.
-205, -1, -1/5, 1
Factor l**2/5 - 1028*l/5 - 2076.
(l - 1038)*(l + 10)/5
Factor -3*z**2 + 932421*z - 932418.
-3*(z - 310806)*(z - 1)
Solve -3*a**3/5 - 2511*a**2/5 - 635544*a/5 - 50695692/5 = 0 for a.
-449, -194
Solve 4*t**4/3 + 248*t**3/3 + 3904*t**2/3 + 4184*t + 2964 = 0.
-39, -19, -3, -1
What is c in -4*c**5 - 372*c**4 - 10724*c**3 - 106428*c**2 - 172872*c = 0?
-49, -21, -2, 0
Solve 7*j**4 - 110*j**3 - 7207*j**2 - 2050*j = 0 for j.
-25, -2/7, 0, 41
Find d, given that -d**5 + 1533*d**4 + 9233*d**3 + 1563*d**2 - 36916*d - 30780 = 0.
-5, -2, -1, 2, 1539
Factor 5*j**3 + 5675*j**2 + 28270*j + 22600.
5*(j + 1)*(j + 4)*(j + 1130)
Find g such that 25*g**5 + 119690*g**4 - 287405*g**3 - 23890*g**2 + 287380*g - 95800 = 0.
-4790, -1, 2/5, 1, 2
Factor -4*s**2/3 - 71740*s/3 + 71744/3.
-4*(s - 1)*(s + 17936)/3
Determine q, given that -5*q**2 - 1901190*q = 0.
-380238, 0
Determine d so that d**5/2 + 261*d**4 + 1041*d**3/2 + 260*d**2 = 0.
-520, -1, 0
Let -22*n**4/3 + 5372*n**3/3 + 66560*n**2/3 = 0. What is n?
-130/11, 0, 256
What is v in -3*v**2/5 - 2433*v/5 - 356544/5 = 0?
-619, -192
Factor 2*g**3/9 + 1448*g**2/9 - 82258*g/9 + 26936/3.
2*(g - 52)*(g - 1)*(g + 777)/9
Factor 27*a**3/5 + 984*a**2/5 + 1023*a - 630.
3*(a + 7)*(a + 30)*(9*a - 5)/5
Factor 2*c**2/7 - 8128*c/7 + 81080/7.
2*(c - 4054)*(c - 10)/7
Factor 4*k**4 + 648*k**3 - 7584*k**2 + 5432*k + 101724.
4*(k - 7)**2*(k + 3)*(k + 173)
Suppose -p**4/6 + 31*p**3/3 - 119*p**2/6 - 31*p/3 + 20 = 0. What is p?
-1, 1, 2, 60
Determine u so that -4*u**4 + 416*u**3 + 420*u**2 = 0.
-1, 0, 105
Factor -d**5/4 - 7*d**4/2 + 120*d**3.
-d**3*(d - 16)*(d + 30)/4
Factor b**3/5 - 124*b**2/5 + 1868*b/5 + 848.
(b - 106)*(b - 20)*(b + 2)/5
Suppose -1142*s**2 - 5712*s - 10 = 0. What is s?
-5, -1/571
Determine y, given that y**4 + 9*y**3 - 627*y**2 + 5203*y - 7986 = 0.
-33, 2, 11
Suppose -t**3 - 241262*t**2 + 965061*t - 723798 = 0. Calculate t.
-241266, 1, 3
Factor -4*n**2 - 3832*n + 11532.
-4*(n - 3)*(n + 961)
Suppose 5*q**2 + 10385*q - 20790 = 0. Calculate q.
-2079, 2
Solve 2*l**3 + 392*l**2 + 17160*l = 0 for l.
-130, -66, 0
Suppose 2*d**3/5 - 12083*d**2/5 - 30223*d/5 + 18132/5 = 0. What is d?
-3, 1/2, 6044
Let -3*j**4/2 - 1263*j**3/4 - 19155*j**2/4 + 4947*j/2 = 0. Calculate j.
-194, -17, 0, 1/2
Determine x so that -x**3 - 484*x**2 - 2873*x - 2390 = 0.
-478, -5, -1
Factor -5*c**2 + 21865*c + 21870.
-5*(c - 4374)*(c + 1)
Suppose -3*x**5/5 - 9*x**4/5 + 657*x**3/5 - 1167*x**2/5 - 630*x + 3672/5 = 0. Calculate x.
-17, -2, 1, 3, 12
Find c such that 15*c**4 - 8364*c**3 + 87177*c**2 - 111480*c - 59076 = 0.
-2/5, 2, 9, 547
Factor 3*r**2 - 8157*r + 281820.
3*(r - 2684)*(r - 35)
Suppose -33*a**4 + 474*a**3 + 2724*a**2 + 3414*a + 1197 = 0. What is a?
-3, -1, -7/11, 19
Factor -4*k**3/7 - 1188*k**2/7 + 9700*k/7 - 18300/7.
-4*(k - 5)*(k - 3)*(k + 305)/7
Factor 20*k**4/3 + 203*k**3/3 + 10*k**2.
k**2*(k + 10)*(20*k + 3)/3
Suppose -3*z**3 - 327*z**2 + 21540*z + 115500 = 0. Calculate z.
-154, -5, 50
What is r in -r**3/4 - 15577*r**2/4 - 60652943*r/4 + 60668521/4 = 0?
-7789, 1
Suppose -150*c**5/7 + 590*c**4 - 3144*c**3 - 12088*c**2/7 + 4896*c/7 + 1280/7 = 0. What is c?
-2/3, -1/5, 2/5, 8, 20
Let -h**2/3 + 150692*h/3 + 50231 = 0. Calculate h.
-1, 150693
Let -2*v**3/3 - 2002*v**2/3 - 13916*v/3 = 0. Calculate v.
-994, -7, 0
Find d such that -5*d**3 + 385*d**2 - 4475*d + 4095 = 0.
1, 13, 63
Determine h, given that -4*h**5/3 - 254632*h**4/3 - 509248*h**3/3 + 8*h**2/3 + 509252*h/3 + 254624/3 = 0.
-63656, -1, 1
What is l in 2*l**3 + 144*l**2 + 2398*l + 2256 = 0?
-47, -24, -1
Suppose -8*j**4/3 + 750*j**3 - 26546*j**2/3 + 16512*j - 10760/3 = 0. What is j?
1/4, 2, 10, 269
Determine j so that 3*j**4 - 14310*j**3 + 17078967*j**2 - 34057824*j - 51151104 = 0.
-1, 3, 2384
Factor 5*y**2 - 5420*y + 16215.
5*(y - 1081)*(y - 3)
Factor 5*f**2 - 7660*f - 955840.
5*(f - 1648)*(f + 116)
Factor 7396*f**3 - 388032*f**2 + 4889973*f + 5285401.
(f + 1)*(86*f - 2299)**2
Factor -5*w**3 - 185*w**2 + 323045*w + 1619225.
-5*(w - 239)*(w + 5)*(w + 271)
Let -3*t**3/7 - 10242*t**2/7 - 162933*t/7 + 581058/7 = 0. Calculate t.
-3398, -19, 3
Suppose -5*v**5/4 - 555*v**4/4 - 20995*v**3/4 - 293005*v**2/4 - 196560*v + 275200 = 0. What is v?
-43, -32, -5, 1
Determine x so that -2*x**5 - 1357*x**4 - 3366*x**3 + 9472*x**2 + 5408*x = 0.
-676, -4, -1/2, 0, 2
Let 2*h**4/9 + 26*h**3/3 - 1304*h**2/9 - 4792*h + 4928 = 0. What is h?
-42, -22, 1, 24
Factor -6*k**3/5 - 48*k**2/5 + 126*k.
-6*k*(k - 7)*(k + 15)/5
Factor 3*z**2 - 6159*z + 12306.
3*(z - 2051)*(z - 2)
Let 2*b**2 - 7172*b - 35910 = 0. Calculate b.
-5, 3591
Factor -5*t**3 + 1755*t**2 - 3495*t + 1745.
-5*(t - 349)*(t - 1)**2
Factor 5*z**3 - 135*z**2 + 660*z + 800.
5*(z - 20)*(z - 8)*(z + 1)
Factor -3*j**4/5 + 336*j**3 + 1683*j**2/5.
-3*j**2*(j - 561)*(j + 1)/5
Factor u**2/2 + 33269*u + 66536.
(u + 2)*(u + 66536)/2
What is s in 2*s**4/7 + 946*s**3/7 - 2070*s**2 + 72950*s/7 - 122000/7 = 0?
-488, 5
Determine a, given that 3*a**5 - 63075*a**4/4 + 21067086*a**3 - 909276762*a**2 + 10086877416*a - 2465218668 = 0.
1/4, 22, 2606
Let -2*c**2/3 - 2768324*c/3 - 957952221122/3 = 0. What is c?
-692081
Factor -g**2 + 1152*g + 5785.
-(g - 1157)*(g + 5)
Let 789*q**3/5 + 1614*q**2/5 - 27543*q/5 - 252 = 0. Calculate q.
-7, -12/263, 5
Let -4*d**2/3 + 4300*d/3 + 8648 = 0. What is d?
-6, 1081
Factor 3*h**3 + 573*h**2 - 2928*h + 2352.
3*(h - 4)*(h - 1)*(h + 196)
Solve -3*l**5/5 + 333*l**4/5 + 138*l**3 - 1332*l**2/5 - 2712*l/5 = 0 for l.
-2, 0, 2, 113
Factor 5*t**4 - 9820*t**3 + 4870345*t**2 - 47726450*t.
5*t*(t - 977)**2*(t - 10)
Solve 3*q**2/2 + 854235*q/2 + 854229 = 0 for q.
-284743, -2
Factor -4*t**2 + 307576*t - 307572.
-4*(t - 76893)*(t - 1)
Find m, given that -10*m**5/3 - 326*m**4/3 - 206*m**3 + 11830*m**2/3 - 15052*m/3 + 1392 = 0.
-29, -9, 2/5, 1, 4
Factor 2*r**2 + 452108*r - 452110.
2*(r - 