**2/9
Factor -3*a**3 - 3570*a**2 - 24861*a - 21294.
-3*(a + 1)*(a + 6)*(a + 1183)
Solve b**3/7 + 569*b**2/7 - 2313*b/7 - 1719 = 0 for b.
-573, -3, 7
Factor n**2/2 - 7031*n/2 + 10542.
(n - 7028)*(n - 3)/2
Determine j so that -j**4/3 - 2782*j**3 - 8344*j**2 - 25030*j/3 - 2781 = 0.
-8343, -1
Factor x**2 + 7522*x + 30072.
(x + 4)*(x + 7518)
Let 14*i**5/13 + 5492*i**4/13 + 1568*i**3/13 = 0. What is i?
-392, -2/7, 0
What is v in 4*v**2/5 + 920*v + 9184/5 = 0?
-1148, -2
Determine c, given that -4*c**3 - 2320*c**2 - 336400*c = 0.
-290, 0
Factor -5*o**4 + 1330*o**3 - 88445*o**2.
-5*o**2*(o - 133)**2
What is w in -2*w**4/9 + 430*w**3/9 - 24254*w**2/9 + 44710*w/3 - 21728 = 0?
3, 97, 112
Find j such that -55*j**5 - 1425*j**4 + 4715*j**3 - 1755*j**2 - 4660*j + 3180 = 0.
-318/11, -1, 1, 2
Factor 3*k**4/4 - 312*k**3 - 627*k**2.
3*k**2*(k - 418)*(k + 2)/4
Let 12*c**3/7 - 97450*c**2/7 - 113706*c/7 - 16244/7 = 0. Calculate c.
-1, -1/6, 8122
Solve 3*s**4 + 9312*s**3 + 7235418*s**2 + 14442912*s + 7216803 = 0 for s.
-1551, -1
Let -2*g**2 - 2750*g + 467568 = 0. What is g?
-1528, 153
Factor q**2/6 + 78*q + 1350.
(q + 18)*(q + 450)/6
Solve -a**5/4 - 41345*a**4/4 - 82687*a**3/4 - 41343*a**2/4 = 0.
-41343, -1, 0
Factor 14*s**3/5 + 506*s**2/5 + 4066*s/5 - 9386/5.
2*(s + 19)**2*(7*s - 13)/5
Determine c so that -2*c**4/3 - 838*c**3/3 - 4866*c**2 - 21654*c = 0.
-401, -9, 0
Find j such that -2*j**4 + 484*j**3 + 1464*j**2 + 1468*j + 490 = 0.
-1, 245
Factor -5*o**2 - 157250*o.
-5*o*(o + 31450)
Factor 21*w**3 + 91874*w**2 - 4375*w.
w*(w + 4375)*(21*w - 1)
What is k in -22*k**3/7 + 311*k**2 + 649*k + 202/7 = 0?
-2, -1/22, 101
Determine j, given that j**3 + 6940*j**2 - j - 6940 = 0.
-6940, -1, 1
Let -82*o**5 + 1154*o**4 - 2954*o**3 + 2014*o**2 - 132*o = 0. What is o?
0, 3/41, 1, 2, 11
Solve 5*y**2/2 + 1675*y - 3355/2 = 0.
-671, 1
Factor 9*q**3/7 - 136356*q**2/7 - 181820*q/7 - 60608/7.
(q - 15152)*(3*q + 2)**2/7
Find k such that -k**2/4 - 46*k + 9225/4 = 0.
-225, 41
Let -5*v**3 + 15285*v**2 - 30550*v = 0. Calculate v.
0, 2, 3055
Factor y**3 - 1438*y**2 + 2872*y.
y*(y - 1436)*(y - 2)
Determine c so that 4*c**3 + 8908*c**2 + 123868*c - 132780 = 0.
-2213, -15, 1
Factor -2*u**2/11 + 34*u + 34036/11.
-2*(u - 254)*(u + 67)/11
Solve 75*i**5 - 3770*i**4 - 2845*i**3 + 2020*i**2 + 1020*i = 0.
-1, -2/5, 0, 2/3, 51
Solve -114*j**4 + 90742*j**3 + 1680*j**2 - 70072*j + 19104 = 0 for j.
-1, 6/19, 2/3, 796
What is l in 8*l**5 + 2100*l**4 + 188700*l**3 + 6213500*l**2 + 36847500*l = 0?
-85, -15/2, 0
Determine o so that o**2 + 31988*o + 255808036 = 0.
-15994
Suppose -21*g**3/4 - 507*g**2/4 + 900*g - 675 = 0. Calculate g.
-30, 6/7, 5
Suppose -28*u**5 - 320*u**4 - 336*u**3 + 3848*u**2 + 364*u - 3528 = 0. What is u?
-7, -1, 1, 18/7
Find a, given that 112*a**4 - 554004*a**3 - 4736492*a**2 - 2417976*a - 317120 = 0.
-8, -2/7, -1/4, 4955
Suppose -3*g**4 - 357*g**3 + 16965*g**2 + 34989*g + 17670 = 0. What is g?
-155, -1, 38
Determine i, given that 4*i**5 - 64*i**4 + 92*i**3 + 784*i**2 + 624*i = 0.
-2, -1, 0, 6, 13
What is j in -6370*j**5 - 5565*j**4/2 + 7235*j**3/2 + 30*j**2 = 0?
-1, -3/364, 0, 4/7
Factor 4*u**3 + 12256*u**2 + 9289280*u - 151782400.
4*(u - 16)*(u + 1540)**2
Suppose 100*r**4/7 - 23180*r**3/7 + 109296*r**2/7 - 76336*r/7 + 14528/7 = 0. What is r?
2/5, 4, 227
Factor t**4/4 - 21*t**3 + 123*t**2/2 - 61*t + 81/4.
(t - 81)*(t - 1)**3/4
Solve -11*t**5/3 - 218*t**4 - 518*t**3 - 848*t**2/3 + 135*t + 114 = 0 for t.
-57, -1, 6/11
Factor 4*f**3 + 52*f**2 - 2052*f + 5580.
4*(f - 15)*(f - 3)*(f + 31)
What is y in -18*y**5 + 98550*y**4 - 1082220*y**3 + 5705080*y**2/3 - 3628240*y/3 + 262272 = 0?
2/3, 9, 5464
Factor 2*z**4 + 338*z**3 + 7574*z**2 + 19734*z.
2*z*(z + 3)*(z + 23)*(z + 143)
Factor 3*z**3 - 33*z**2 - 258*z + 288.
3*(z - 16)*(z - 1)*(z + 6)
Suppose x**3/3 + 647*x**2/3 + 1934*x/3 + 1288/3 = 0. What is x?
-644, -2, -1
Factor a**4/5 - 86*a**3/5 - 89*a**2/5 + 174*a/5.
a*(a - 87)*(a - 1)*(a + 2)/5
Factor 3*m**3/2 + 3333*m**2 + 3729483*m/2 + 14705388.
3*(m + 8)*(m + 1107)**2/2
Determine l, given that 2*l**2/7 + 63258*l/7 + 1264360/7 = 0.
-31609, -20
Suppose 2*n**3/5 + 24326*n**2/5 - 34072*n + 48680 = 0. What is n?
-12170, 2, 5
Solve 4*f**2/5 - 136*f/5 + 1152/5 = 0 for f.
16, 18
Find d such that -4*d**2 + 440*d + 1356 = 0.
-3, 113
Find o such that 2*o**2 + 703780*o + 61913286050 = 0.
-175945
Suppose -27*d**3 - 5649*d**2 - 295554*d - 65400 = 0. What is d?
-109, -100, -2/9
Factor 2*h**3 + 386*h**2 - 796*h - 3120.
2*(h - 4)*(h + 2)*(h + 195)
Factor 2*u**4 - 19*u**3 + 38*u**2 - 21*u.
u*(u - 7)*(u - 1)*(2*u - 3)
What is s in s**5/6 - 5*s**4/6 - 179*s**3/2 + 1335*s**2/2 + 756*s = 0?
-24, -1, 0, 9, 21
Solve -15*l**4 + 415295*l**3 - 1384170*l**2 + 553620*l + 1107320 = 0 for l.
-2/3, 2, 27683
Suppose -f**4/6 - 20*f**3/3 - 41*f**2/2 + 1958*f/3 - 5440/3 = 0. Calculate f.
-32, -17, 4, 5
Factor -7*n**3/4 + 27*n**2/2 - 26*n.
-n*(n - 4)*(7*n - 26)/4
Let 4*z**3 - 1332*z**2 - 54760*z = 0. What is z?
-37, 0, 370
Factor -l**3/4 + 5813*l**2/2 - 33790969*l/4.
-l*(l - 5813)**2/4
Factor 3*k**2 - 1044*k + 16881.
3*(k - 331)*(k - 17)
Factor -2*m**2/9 - 1934*m/3 - 3860.
-2*(m + 6)*(m + 2895)/9
Solve 2*q**5/13 + 148*q**4/13 - 16*q**3/13 - 111776*q**2/13 + 442400*q/13 - 440000/13 = 0.
-50, 2, 22
Factor -3*l**3/7 - 102*l**2 + 6627*l/7 - 1482.
-3*(l - 7)*(l - 2)*(l + 247)/7
Find m, given that -125*m**4 - 18525*m**3 - 453120*m**2 + 371420*m - 74880 = 0.
-117, -32, 2/5
Let 3*h**4 - 2991*h**3 - 2997*h**2 + 2991*h + 2994 = 0. Calculate h.
-1, 1, 998
Suppose -n**3/5 + 1813*n**2/5 - 163072*n - 1159340 = 0. Calculate n.
-7, 910
Solve -2*m**3/9 - 237842*m**2/9 - 951344*m/9 - 105704 = 0 for m.
-118917, -2
Find p, given that -5*p**4 + 1975*p**3 - 187935*p**2 - 1414035*p = 0.
-7, 0, 201
Factor 3*q**2/7 + 57198*q + 1908439869.
3*(q + 66731)**2/7
Determine d, given that -2*d**4 + 1252204*d**3 - 196004361594*d**2 + 784002419992*d - 783997411208 = 0.
2, 313049
Suppose -3*p**5 + 96*p**4 - 336*p**3 = 0. Calculate p.
0, 4, 28
Factor -2*k**3/5 + 661238*k**2/5.
-2*k**2*(k - 330619)/5
Suppose 5*j**4 + 4110*j**3 - 97180*j**2 - 4110*j + 97175 = 0. What is j?
-845, -1, 1, 23
Solve -5*z**2 - 42055*z - 42050 = 0 for z.
-8410, -1
Solve q**2/2 - 1831*q - 3663/2 = 0.
-1, 3663
Let -4*g**4/9 + 776*g**3/3 - 45232*g**2/9 + 51040*g/3 - 143872/9 = 0. What is g?
2, 16, 562
Factor -2*m**4/11 + 10782*m**3/11 + 21570*m**2/11 + 10786*m/11.
-2*m*(m - 5393)*(m + 1)**2/11
Suppose -2*d**3 + 118384*d**2 + 473560*d + 473568 = 0. Calculate d.
-2, 59196
Factor -2*p**5 + 126*p**4 - 1296*p**3 - 23328*p**2.
-2*p**2*(p - 36)**2*(p + 9)
Let 12*v**5 + 333*v**4 + 1620*v**3 - 2586*v**2 - 18360*v + 4725 = 0. Calculate v.
-21, -5, 1/4, 3
Solve 4*l**2 + 364*l - 27440 = 0 for l.
-140, 49
Suppose -y**4/2 - 49*y**3/2 - 229*y**2 + 560*y = 0. What is y?
-35, -16, 0, 2
Let 15*b**4 - 76494*b**3 - 107115*b**2 - 30606*b = 0. Calculate b.
-1, -2/5, 0, 5101
Determine i, given that i**5/3 - 735*i**4 + 1625066*i**3/3 - 403515034*i**2/3 + 790352119*i - 1969164185/3 = 0.
1, 5, 733
Factor w**3/2 - 77927*w**2/2 + 194807*w - 155844.
(w - 77922)*(w - 4)*(w - 1)/2
Factor n**3/4 + 617*n**2/2 - 3715*n/4 - 1237.
(n - 4)*(n + 1)*(n + 1237)/4
Factor w**2/5 - 786*w/5 - 13651/5.
(w - 803)*(w + 17)/5
Let -2*z**2 - 21660*z - 21658 = 0. Calculate z.
-10829, -1
Factor 3*v**3/7 - 4829*v**2/7 + 8038*v/7 + 3216/7.
(v - 1608)*(v - 2)*(3*v + 1)/7
What is r in 11339*r**3 - 2*r**2/3 = 0?
0, 2/34017
Determine f, given that f**4 - 187*f**3 - 1147*f**2 - 2117*f - 1158 = 0.
-3, -2, -1, 193
Factor -128*b**2 + 1396*b - 2196.
-4*(b - 9)*(32*b - 61)
What is q in 4*q**5 + 5392*q**4 - 10812*q**3 - 16184*q**2 + 21616*q + 21600 = 0?
-1350, -1, 2
What is g in 2*g**3 - 59202*g**2 + 438020784*g + 1314595224 = 0?
-3, 14802
Suppose z**4 + 1431*z**3 + 12750*z**2 - 68704*z - 637056 = 0. Calculate z.
-1422, -8, 7
Suppose 237*h**5/7 + 1179*h**4/7 - 2874*h**3/7 - 18888*h**2/7 - 14688*h/7 + 384/7 = 0. What is h?
-4, -1, 2/79, 4
Factor 4*i**3 + 976*i**2 + 2900*i + 1928.
4*(i + 1)*(i + 2)*(i + 241)
Determine j so that 2*j**4 - 21960*j**3 + 60280192*j**2 + 87840*j - 241120800 = 0.
-2, 2, 5490
Factor -2*h**2/3 + 110854*h - 9216456987/2.
-(2*h - 166281)**2/6
Factor 3*p**3/5 - 768*p**2/5 + 46767*p/5 + 308898/5.
3*(p - 131)**2*(p + 6)/5
Determine p so t