
Determine y so that -y**4 + 120*y**3 + 7355*y**2 - 22890*y + 15416 = 0.
-47, 1, 2, 164
Solve 3*q**2 - 29622*q - 59256 = 0.
-2, 9876
Let -22*t**4/9 + 268*t**3/9 + 1822*t**2/9 - 340*t/9 = 0. Calculate t.
-5, 0, 2/11, 17
Find z, given that -39*z**5/7 - 579*z**4/7 - 963*z**3/7 + 1377*z**2 - 1458*z/7 = 0.
-9, 0, 2/13, 3
Determine z so that 10*z**5/19 - 6154*z**4/19 - 190470*z**3/19 - 290198*z**2/19 - 33652*z/19 + 72240/19 = 0.
-28, -1, 2/5, 645
Suppose 160*g**2 - 40166*g + 1506 = 0. Calculate g.
3/80, 251
Let 4*g**4/11 - 34*g**3/11 - 598*g**2/11 - 560*g/11 = 0. Calculate g.
-8, -1, 0, 35/2
Factor -4*r**3 + 5576*r**2 + 4*r - 5576.
-4*(r - 1394)*(r - 1)*(r + 1)
Factor -4*p**3 - 376*p**2 + 15108*p + 103320.
-4*(p - 35)*(p + 6)*(p + 123)
Suppose -4*j**5/7 - 5216*j**4/7 - 2133956*j**3/7 - 282226696*j**2/7 - 1637043408*j + 24064669728/7 = 0. What is j?
-554, -99, 2
What is i in -5*i**5 + 10*i**4 + 6540*i**3 - 4250*i**2 - 2084375*i = 0?
-25, 0, 23, 29
Determine b, given that -2*b**5/21 + 292*b**4/21 - 2252*b**3/21 + 2040*b**2/7 - 2214*b/7 + 828/7 = 0.
1, 3, 138
Factor -j**3/7 + 440*j**2 - 341859*j + 4700178.
-(j - 1533)**2*(j - 14)/7
Factor 2*j**2 + 32712*j + 133759368.
2*(j + 8178)**2
Determine f, given that -13*f**3/3 - 3085*f**2/3 - 3364*f - 2340 = 0.
-234, -30/13, -1
Solve 5*z**5 - 680*z**4 - 7155*z**3 - 21130*z**2 - 6080*z + 35040 = 0 for z.
-4, -3, 1, 146
Suppose 5*p**5 - 130*p**4 - 655*p**3 + 1680*p**2 - 900*p = 0. What is p?
-6, 0, 1, 30
Suppose -4*n**3/3 - 38007*n**2 - 28505*n/3 = 0. Calculate n.
-28505, -1/4, 0
Factor 122*p**2/9 - 5860*p/9 + 64/3.
2*(p - 48)*(61*p - 2)/9
Find w such that w**2/7 + 969692*w/7 + 235075643716/7 = 0.
-484846
Suppose 35*z**4 - 9670*z**3 + 628980*z**2 + 5467000*z - 1613120 = 0. Calculate z.
-8, 2/7, 142
What is y in y**4/4 + 27*y**3/4 + 18*y**2 - y - 24 = 0?
-24, -2, 1
Factor -f**2/4 - 13985*f/4 + 6993/2.
-(f - 1)*(f + 13986)/4
Let -17*q**3 + 155*q**2/3 - q/3 - 5 = 0. Calculate q.
-5/17, 1/3, 3
Factor -x**3 + 7289*x**2 + 14581*x + 7291.
-(x - 7291)*(x + 1)**2
Suppose o**3/6 - 40*o**2/3 + 647*o/6 - 284/3 = 0. What is o?
1, 8, 71
Find j, given that 48*j**4 + 744*j**3 - 3189*j**2 - 52683*j - 124848 = 0.
-16, -17/4, 9
Factor q**4/8 + 457487*q**3/4 + 914973*q**2/8.
q**2*(q + 1)*(q + 914973)/8
Suppose 4*y**2 + 280*y - 1500 = 0. Calculate y.
-75, 5
Determine l, given that 5*l**3/4 + 4140*l**2 - 518015*l/4 + 250725/2 = 0.
-3343, 1, 30
Find u, given that u**2 + 205683*u = 0.
-205683, 0
Factor 3*x**3 + 276*x**2 + 2052*x + 3024.
3*(x + 2)*(x + 6)*(x + 84)
Factor 2*o**5 + 388*o**4 - 23256*o**3 + 415004*o**2 - 2407370*o.
2*o*(o - 17)**3*(o + 245)
Find n such that 6*n**4/5 - 68*n**3 + 4928*n**2/5 - 3136*n/5 = 0.
0, 2/3, 28
Find v, given that -v**4/5 - 406*v**3/5 - 2708*v**2/5 + 34006*v/5 + 36309/5 = 0.
-399, -13, -1, 7
Determine g, given that 30*g**5/11 - 798*g**4/11 + 2856*g**3/11 + 22872*g**2/11 - 15360*g/11 - 9600/11 = 0.
-4, -2/5, 1, 10, 20
Find y, given that 21*y**4 - 362256*y**3 + 827916*y**2 - 206976*y = 0.
0, 2/7, 2, 17248
Determine k, given that 5*k**3 + 295*k**2 - 11920*k + 22620 = 0.
-87, 2, 26
Suppose -3*m**3 + 42*m**2 + 168*m - 1152 = 0. What is m?
-6, 4, 16
Factor 2*a**2/3 - 2076590*a/3.
2*a*(a - 1038295)/3
Determine h, given that 2*h**5/5 + 3178*h**4/5 - 6*h**3/5 - 9538*h**2/5 - 6356*h/5 = 0.
-1589, -1, 0, 2
Solve 6*h**5 + 103*h**4 + 557*h**3 + 738*h**2 - 1188*h - 216 = 0.
-6, -1/6, 1
What is t in -3*t**3/2 + 891*t**2/2 + 2727*t = 0?
-6, 0, 303
Factor -d**2/5 - 1170*d - 1711125.
-(d + 2925)**2/5
Factor 3*r**3/2 - 11710*r**2 + 15611*r/2 + 3903.
(r - 7806)*(r - 1)*(3*r + 1)/2
Factor -4*h**3 + 52*h**2 + 504*h - 2592.
-4*(h - 18)*(h - 4)*(h + 9)
Factor 2*n**2 - 82534*n - 82536.
2*(n - 41268)*(n + 1)
Factor -m**2/2 + 63*m + 127/2.
-(m - 127)*(m + 1)/2
Let -s**2 - 3217*s - 19266 = 0. What is s?
-3211, -6
Find c such that -2*c**4/3 - 1760*c**3/3 + 39251*c**2/6 + 13963*c/2 + 1782 = 0.
-891, -1/2, 12
Determine o, given that 5*o**2 - 1168065*o = 0.
0, 233613
Let h**4 - 208*h**3/3 - 266*h**2 - 368*h/3 + 73 = 0. Calculate h.
-3, -1, 1/3, 73
Factor 5*w**4 + 2280*w**3 + 4525*w**2 - 6810*w.
5*w*(w - 1)*(w + 3)*(w + 454)
Determine m, given that -3*m**3 + 2559*m**2 - 45333*m + 202905 = 0.
9, 835
Factor -2*j**2/3 + 8690*j/3 + 221000.
-2*(j - 4420)*(j + 75)/3
Solve -20*i**3 - 24036*i**2 - 43216*i - 19200 = 0 for i.
-1200, -1, -4/5
Solve -w**5/7 + 11*w**4/7 + 187*w**3/7 - 83*w**2/7 - 1194*w/7 + 1080/7 = 0.
-9, -3, 1, 2, 20
Find h, given that 2*h**5/3 + 1926*h**4 + 1399698*h**3 + 12493458*h**2 + 37376640*h + 37324800 = 0.
-1440, -3
Let 2*h**4/11 - 136*h**3/11 - 282*h**2/11 + 136*h/11 + 280/11 = 0. What is h?
-2, -1, 1, 70
Solve d**5 - 1436*d**4/5 + 14311*d**3/5 - 51244*d**2/5 + 76596*d/5 - 39888/5 = 0.
6/5, 2, 3, 4, 277
Find s, given that -10*s**2/7 + 110776*s/7 + 44312/7 = 0.
-2/5, 11078
Factor j**3/3 + 193*j**2/3 - 592*j/3 - 784/3.
(j - 4)*(j + 1)*(j + 196)/3
Let z**4 - 1090*z**3 + 264208*z**2 + 18323394*z + 18058095 = 0. What is z?
-55, -1, 573
Find p such that 4*p**2 + 8200*p - 74124 = 0.
-2059, 9
Factor -5*l**2 - 310*l - 2385.
-5*(l + 9)*(l + 53)
Factor -2*m**2/3 - 9190*m/3 + 212428/3.
-2*(m - 23)*(m + 4618)/3
Suppose -4*h**4 + 212*h**3 - 2656*h**2 - 3312*h + 5760 = 0. Calculate h.
-2, 1, 24, 30
Determine n, given that -7472978*n**5 + 7488442*n**4 + 7457506*n**3 - 7488434*n**2 + 15472*n - 8 = 0.
-1, 2/1933, 1
Find g, given that 2*g**5 - 40*g**4 + 122*g**3 + 1420*g**2 - 5000*g - 14000 = 0.
-5, -2, 7, 10
Factor 5*j**5 - 105*j**4 - 650*j**3.
5*j**3*(j - 26)*(j + 5)
Solve -5*j**2 - 644545*j = 0 for j.
-128909, 0
Suppose 40*h**4 - 3958*h**3 + 130482*h**2 - 1430946*h - 71874 = 0. Calculate h.
-1/20, 33
Find p such that 5*p**3 - 24895*p**2 - 99640*p - 99660 = 0.
-2, 4983
Factor c**3 - 1114*c**2 + 6653*c - 5540.
(c - 1108)*(c - 5)*(c - 1)
Factor 100*t**4/3 + 222880*t**3/3 + 41425952*t**2 + 99315328*t/3 + 19855936/3.
4*(t + 1114)**2*(5*t + 2)**2/3
Solve -10*x**3/7 + 5952*x**2/7 - 7130*x/7 + 1188/7 = 0 for x.
1/5, 1, 594
Find c such that -2*c**2/3 - 12650*c/3 - 113364 = 0.
-6298, -27
Solve -9*f**5/4 + 283*f**4 - 1989*f**3/4 + 309*f**2/2 + 62*f = 0 for f.
-2/9, 0, 1, 124
Let -16*s**5/5 + 544*s**4/5 + 652*s**3/5 - 3172*s**2/5 - 1824*s/5 + 1008 = 0. Calculate s.
-2, 3/2, 35
Determine q so that -2*q**4/9 + 86*q**3/9 - 304*q**2/3 = 0.
0, 19, 24
Suppose -2*h**2/13 + 34*h/13 + 1056/13 = 0. What is h?
-16, 33
Find m such that 14*m**3 + 2006*m**2 + 65672*m + 18600 = 0.
-93, -50, -2/7
Suppose -6*f**4/5 - 3316*f**3/5 + 34952*f**2/5 + 25876*f/5 - 12386/5 = 0. Calculate f.
-563, -1, 1/3, 11
Determine s so that -12*s**4 - 6626*s**3/3 - 305072*s**2/3 - 16928*s/3 = 0.
-92, -1/18, 0
Factor -f**4/3 + 310*f**3 - 59619*f**2 - 6024024*f.
-f*(f - 501)**2*(f + 72)/3
Solve f**4/4 + 503*f**3 + 1005*f**2/2 - 503*f - 2011/4 = 0 for f.
-2011, -1, 1
Factor -s**2/5 - 268*s/5 - 663.
-(s + 13)*(s + 255)/5
Determine m so that -2*m**3 - 1010*m**2 + 15668*m + 35360 = 0.
-520, -2, 17
Find g such that g**5 + 1035*g**4/2 + 81917*g**3 + 7243713*g**2/2 - 81918*g - 3622374 = 0.
-222, -147/2, -1, 1
Factor 2*i**2/7 + 97966*i/7.
2*i*(i + 48983)/7
Factor s**2/5 + 9967*s/5 - 5982.
(s - 3)*(s + 9970)/5
What is n in 3*n**5 - 34191*n**4 + 341649*n**3 - 443913*n**2 - 2049552*n - 1229796 = 0?
-1, 6, 11387
Factor -2*t**3 + 14490*t**2 + 28988*t.
-2*t*(t - 7247)*(t + 2)
Suppose g**4 - 29*g**3 + 244*g**2 - 324*g - 1872 = 0. Calculate g.
-2, 6, 12, 13
Suppose 2*t**5/19 - 118*t**4/19 - 1040*t**3/19 - 2144*t**2/19 = 0. Calculate t.
-4, 0, 67
Let 2*h**3/7 - 1836*h**2/7 + 214266*h/7 - 212432/7 = 0. Calculate h.
1, 136, 781
Factor 2*v**2 + 424*v - 15066.
2*(v - 31)*(v + 243)
Suppose 9*c**5 - 429*c**4 + 1470*c**3 - 756*c**2 - 1608*c + 1056 = 0. What is c?
-1, 2/3, 2, 44
What is g in -5*g**5 - 1080*g**4 + 6705*g**3 + 9920*g**2 - 15540*g = 0?
-222, -2, 0, 1, 7
Factor 2*h**4 - 66*h**3 + 636*h**2 - 1600*h - 2304.
2*(h - 18)*(h - 8)**2*(h + 1)
Factor -3*s**3/2 - 345*s**2/2 - 1908*s - 5562.
-3*(s + 6)**2*(s + 103)/2
Factor 2*t**4/3 + 237664*t**3/3 + 3137983420*t**2 + 124292385124336*t/3 - 124301799312262/3.
2*(t - 1)*(t + 39611)**3/3
Determine m, given that 5*m**4/3 + 8*m**3 - 125*m**2 - 1126*m/3 + 80 = 0.
-10, -3, 1/5, 8
Suppose b**2/7 + 3008*b/7 - 180953/7 = 0. What is b?
-3067, 59
Factor -2*h**3/11 + 