 k in 4*k**3 + 1480*k**2 + 15836*k + 14360 = 0?
-359, -10, -1
Suppose 2*h**5/13 + 314*h**4/13 + 10626*h**3/13 + 46102*h**2/13 + 15772*h/13 - 72816/13 = 0. What is h?
-111, -41, -4, -2, 1
Factor y**2 + 324050*y + 26252100625.
(y + 162025)**2
What is k in -21*k**3 - 158*k**2 - 239*k - 102 = 0?
-17/3, -1, -6/7
Find d such that 9*d**5/2 - 4377*d**4/4 + 17991*d**3/4 - 15783*d**2/4 + 2151*d/4 = 0.
0, 1/6, 1, 3, 239
What is i in -2*i**3/9 - 25750*i**2/3 = 0?
-38625, 0
Factor -c**2/4 + 6061*c/2 - 36735721/4.
-(c - 6061)**2/4
Factor 3*g**2/2 - 13452*g - 26907/2.
3*(g - 8969)*(g + 1)/2
Solve 44*s**5 + 8724*s**4 + 406072*s**3 - 2682192*s**2 - 3079584*s = 0 for s.
-102, -1, 0, 74/11
Find y such that 2*y**2/9 - 256*y/9 + 2600/3 = 0.
50, 78
Factor -4*f**2 - 776496*f - 776492.
-4*(f + 1)*(f + 194123)
Find l, given that -4*l**4 + 780*l**3 - 3012*l**2 - 8380*l - 4584 = 0.
-1, 6, 191
Determine q so that 69*q**4/5 + 77976*q**3/5 + 1356*q**2 = 0.
-1130, -2/23, 0
Factor -4*a**3 + 232*a**2 + 2916*a + 8280.
-4*(a - 69)*(a + 5)*(a + 6)
Factor -3*f**5/7 + 15069*f**4/7 - 45180*f**3/7.
-3*f**3*(f - 5020)*(f - 3)/7
Solve -i**3/2 + 112*i**2 + 1170*i = 0 for i.
-10, 0, 234
Find v, given that 5*v**2/4 + 144385*v + 4169405645 = 0.
-57754
Let -10*r**5/3 - 779*r**4/6 - 2387*r**3/2 + 4180*r**2/3 - 200*r/3 = 0. What is r?
-20, 0, 1/20, 1
Factor -2820*w**2 + 2768*w + 52.
-4*(w - 1)*(705*w + 13)
Factor -5*h**3 + 865*h**2 + 12240*h - 27900.
-5*(h - 186)*(h - 2)*(h + 15)
Factor 2*p**2/23 + 170536*p/23 + 3635315912/23.
2*(p + 42634)**2/23
Factor -c**4 + 20*c**3 + 118*c**2 + 172*c + 75.
-(c - 25)*(c + 1)**2*(c + 3)
Factor 2*w**3/5 - 1485326*w**2/5 + 2970646*w/5 - 1485322/5.
2*(w - 742661)*(w - 1)**2/5
Suppose o**3/4 + 247*o**2/2 + 7631*o/4 - 4063/2 = 0. What is o?
-478, -17, 1
Factor 2*k**2/7 - 2538*k/7 - 140132/7.
2*(k - 1322)*(k + 53)/7
Factor 2*n**4/7 - 4490*n**3/7 + 17936*n**2/7 - 17928*n/7.
2*n*(n - 2241)*(n - 2)**2/7
Determine s, given that 3*s**2 + 1749*s + 6948 = 0.
-579, -4
Factor g**3/3 - 20947*g**2 + 329155909*g - 6909195223/3.
(g - 31417)**2*(g - 7)/3
Let -z**2 + 3953*z + 55538 = 0. What is z?
-14, 3967
Solve -46*x**4 + 107644*x**3/3 - 6997640*x**2 + 202800*x = 0.
0, 2/69, 390
Solve -2*c**3/3 + 704*c**2 - 2110*c/3 = 0.
0, 1, 1055
Factor 3*p**2 - 4683336*p + 1827803007408.
3*(p - 780556)**2
Find m, given that 38*m**5/11 + 42*m**4/11 - 10484*m**3/11 + 72616*m**2/11 - 98640*m/11 - 11200/11 = 0.
-20, -2/19, 2, 7, 10
Factor -3*m**2 - 1023*m - 66792.
-3*(m + 88)*(m + 253)
What is k in -2*k**2/7 - 1208*k/7 - 35526/7 = 0?
-573, -31
Factor 2*b**2 + 2834*b + 193680.
2*(b + 72)*(b + 1345)
Let -2*f**2/9 + 50*f/9 + 2968/9 = 0. What is f?
-28, 53
Suppose n**3 - 2768*n**2 - 24979*n - 38878 = 0. Calculate n.
-7, -2, 2777
Factor 3*l**2/5 - 48129*l/5 - 144414/5.
3*(l - 16046)*(l + 3)/5
Find b, given that -60*b**5 + 101620*b**4 - 67675*b**3 - 76230*b**2 + 76195*b - 16930 = 0.
-1, 1/2, 2/3, 1693
Factor -3*j**2/7 - 157908*j/7 + 315828/7.
-3*(j - 2)*(j + 52638)/7
Let -d**4/4 - 5*d**3/2 + 339*d**2/4 + 855*d - 2025 = 0. What is d?
-15, 2, 18
Solve -2*b**4/5 - 4*b**3/5 + 9744*b**2/5 + 380132*b/5 + 829226 = 0 for b.
-29, 85
Determine n, given that 6*n**2/5 - 637304*n/15 - 47208/5 = 0.
-2/9, 35406
Factor -5*m**2 + 15085*m - 45210.
-5*(m - 3014)*(m - 3)
Find b, given that b**2 - 17898*b + 35792 = 0.
2, 17896
What is b in -4*b**3/3 + 2348*b**2/3 - 150964*b + 9528252 = 0?
149, 219
Determine s so that 15*s**5 - 10704*s**4 + 17061*s**3 + 19248*s**2 - 17076*s - 8544 = 0.
-1, -2/5, 1, 2, 712
Factor 3*s**3/5 - 1836*s**2/5 + 55440*s - 2472000.
3*(s - 412)*(s - 100)**2/5
Find v such that -5*v**3 + 115*v**2 + 565*v - 675 = 0.
-5, 1, 27
Factor z**2/2 - 923*z.
z*(z - 1846)/2
Determine f so that 4*f**3 + 12260*f**2 + 11521068*f + 3045573612 = 0.
-1311, -443
What is s in 2*s**4 - 102*s**3 + 782*s**2 + 16878*s - 74008 = 0?
-11, 4, 29
Factor -5*q**2 - 356700*q - 356695.
-5*(q + 1)*(q + 71339)
Solve -4*n**3/5 - 1196*n**2/5 - 1184*n/5 + 2384/5 = 0.
-298, -2, 1
Factor -z**4/4 - 19705*z**3/4 + 39413*z**2/4 - 19707*z/4.
-z*(z - 1)**2*(z + 19707)/4
Factor -5*b**3 + 4705*b**2 + 4740*b - 28260.
-5*(b - 942)*(b - 2)*(b + 3)
Factor -457*i**2 + 164514*i/5 + 432/5.
-(i - 72)*(2285*i + 6)/5
Determine m so that -25*m**4 + 35490*m**3 + 85275*m**2 + 63980*m + 14220 = 0.
-1, -2/5, 1422
Let 9*g**4/5 - 273*g**3/5 - 282*g**2/5 + 3072*g/5 - 2976/5 = 0. What is g?
-4, 4/3, 2, 31
Suppose -3*t**3/4 + 1665*t**2/4 + 3387*t/4 - 25065/4 = 0. What is t?
-5, 3, 557
What is f in f**5 + 58*f**4 - 964*f**3 + 3182*f**2 + 963*f - 3240 = 0?
-72, -1, 1, 5, 9
Suppose 4*s**4/3 - 1004*s**3/3 + 980*s**2/3 + 4988*s/3 + 1000 = 0. Calculate s.
-1, 3, 250
Determine j, given that -11*j**3 - 765*j**2 + 148878*j + 81432 = 0.
-156, -6/11, 87
Solve -2*i**2 - 594*i - 4624 = 0 for i.
-289, -8
Determine q, given that 3*q**5 + 20502*q**4 + 35027646*q**3 - 143496*q**2 - 245070657*q + 210166002 = 0.
-3417, -3, 1, 2
Determine u so that -3*u**2 + 107598*u = 0.
0, 35866
Factor s**2/7 + 860*s/7 - 4325/7.
(s - 5)*(s + 865)/7
What is j in 4*j**5 - 796*j**4 + 9880*j**3 - 38928*j**2 + 44640*j = 0?
0, 2, 5, 6, 186
Factor -3*o**3 - 14547*o**2 - 58152*o - 58140.
-3*(o + 2)**2*(o + 4845)
Solve -5*z**4 - 395*z**3 + 7280*z**2 - 30400*z = 0.
-95, 0, 8
Determine v, given that 4*v**3/7 - 4611196*v**2/7 + 4611192*v/7 = 0.
0, 1, 1152798
Suppose 2*v**3/7 - 2304*v**2/7 - 19104*v - 270592 = 0. Calculate v.
-28, 1208
Factor 147*g**3 + 13570053*g**2 - 23263272*g + 9970020.
3*(g + 92315)*(7*g - 6)**2
Determine x so that 14*x**4/3 + 862*x**3/3 - 140*x**2 - 2936*x/3 + 2480/3 = 0.
-62, -2, 1, 10/7
Find c, given that -c**2/5 + 231*c/5 - 5684/5 = 0.
28, 203
What is v in 10*v**5 + 225*v**4 + 1490*v**3 + 3360*v**2 + 180*v - 5265 = 0?
-13, -9/2, -3, 1
Let 2*p**5 + 7392*p**4 - 51812*p**3 + 111072*p**2 - 66654*p = 0. What is p?
-3703, 0, 1, 3
Find j, given that 3*j**3 - 126*j**2 - 21909*j = 0.
-67, 0, 109
Determine s, given that -256*s**4 + 1728*s**3 - 1188*s**2 + 216*s = 0.
0, 3/8, 6
Factor 3*g**3/2 - 311*g**2/2 - 14903*g + 10004.
(g - 164)*(g + 61)*(3*g - 2)/2
Factor -9*w**3 - 1226*w**2 + 14281*w + 3234.
-(w - 11)*(w + 147)*(9*w + 2)
Suppose -k**4/10 - k**3/2 + 321*k**2/10 + 4077*k/10 + 6804/5 = 0. What is k?
-9, -8, 21
Suppose -5*v**3 - 11005*v**2 - 6201335*v - 159511815 = 0. Calculate v.
-1087, -27
Factor 3*f**3 + 2667*f**2 + 2664*f.
3*f*(f + 1)*(f + 888)
Factor -2*x**2/7 + 39304*x/7 + 235896/7.
-2*(x - 19658)*(x + 6)/7
Factor -5*o**2 - 8105*o - 48450.
-5*(o + 6)*(o + 1615)
Solve -9*d**5/8 - 591*d**4/2 + 82479*d**3/4 - 13089*d**2/2 - 164949*d/8 + 6840 = 0.
-320, -1, 1/3, 1, 57
Factor -q**2/4 + 304*q + 609.
-(q - 1218)*(q + 2)/4
Suppose -z**2/4 + 2693*z/2 - 7252249/4 = 0. What is z?
2693
What is a in -39*a**4 - 1206*a**3 - 999*a**2 + 2424*a - 180 = 0?
-30, -2, 1/13, 1
Suppose 2*u**4/9 - 1316*u**3/3 + 1750*u**2 + 19700*u/9 = 0. Calculate u.
-1, 0, 5, 1970
Factor -3*b**3 - 1812*b**2 - 1803*b + 3618.
-3*(b - 1)*(b + 2)*(b + 603)
Solve k**3/2 + 1113*k**2/2 + 347211*k/2 + 33169243/2 = 0.
-667, -223
Let -3*t**5 + 789*t**4 - 61884*t**3 + 1947888*t**2 - 21695040*t = 0. Calculate t.
0, 36, 155
Find d, given that 4*d**3 - 8352*d**2 - 8364*d + 16712 = 0.
-2, 1, 2089
Let 3*s**5/4 + 3036*s**4 - 42606*s**3 + 365505*s**2/2 - 609675*s/4 - 761625/2 = 0. What is s?
-4062, -1, 5
Find x such that -x**4 - 47*x**3 - 45*x**2 + 47*x + 46 = 0.
-46, -1, 1
Factor 2*h**3 - 35104*h**2 + 491034*h + 526140.
2*(h - 17538)*(h - 15)*(h + 1)
Factor -21*z**2/4 + 825495*z/4 - 117927/2.
-3*(z - 39309)*(7*z - 2)/4
Find a such that a**2/2 + 1044*a + 47495/2 = 0.
-2065, -23
Factor -a**2 + 17076*a - 72897444.
-(a - 8538)**2
Factor x**2/3 + 296774*x + 66056105307.
(x + 445161)**2/3
Factor w**3/4 + 177*w**2/4 - 89*w/2.
w*(w - 1)*(w + 178)/4
Solve 75*y**5/4 - 15255*y**4/4 + 690033*y**3/4 - 10270737*y**2/4 + 8953230*y - 9018009 = 0 for y.
11/5, 26, 147
Suppose -y**3/5 + 186*y**2/5 - 37*y = 0. Calculate y.
0, 1, 185
Let -8281*r**2/12 - 120575*r/3 - 1755625/3 = 0. Calculate r.
-2650/91
Factor 9*s**3/5 - 13412*s**2/5 - 10439*s/5 + 2982/5.
(s - 1491)*(s + 1)*(9*s - 2)/5
Factor 41*m**3/2 + 99*m**2 - 41*m/2 - 99.
(m - 1)*(m + 1)*(41*m + 198)/2
Solve 2*l**2 - 26528*l + 87966848 = 0.
6632
Solve 44*h**4 - 195*h**3 - 1242*h**2 - 1220*h + 264 = 0 for h.