
Find f such that -2*f**4 + 6*f**3 - 8*f = 0.
-1, 0, 2
What is i in 343*i**5/2 + 2205*i**4 + 1806*i**3 + 508*i**2 + 48*i = 0?
-12, -2/7, 0
Find a, given that a**2 - 48*a + 576 = 0.
24
Let 45*h**5 + 210*h**4 + 260*h**3 + 110*h**2 + 15*h = 0. What is h?
-3, -1, -1/3, 0
Factor -28*k**3 - 110*k**2 - 104*k + 8.
-2*(k + 2)**2*(14*k - 1)
Solve 48*l**5/5 + 488*l**4/5 + 1083*l**3/5 + 117*l**2/5 - 23*l - 21/5 = 0 for l.
-7, -3, -1/4, 1/3
What is c in -c**2/6 + 269*c/6 = 0?
0, 269
Factor 4*n**4 - 40*n**3 + 36*n**2 + 432*n - 432.
4*(n - 6)**2*(n - 1)*(n + 3)
Find f such that -189*f**5 + 1584*f**4 - 1884*f**3 + 378*f**2 + 153*f - 42 = 0.
-2/7, 1/3, 1, 7
Factor 4*j**4 - 176*j**3 + 2256*j**2 - 7040*j + 6400.
4*(j - 20)**2*(j - 2)**2
Suppose -15*y**4 + 6*y**3 + 195*y**2 - 258*y + 72 = 0. Calculate y.
-4, 2/5, 1, 3
Factor 2*z**5/5 - 2*z**4 - 26*z**3/5 - 14*z**2/5.
2*z**2*(z - 7)*(z + 1)**2/5
Solve g**5/5 - 27*g**4/5 + 27*g**3 + 671*g**2/5 + 24*g - 180 = 0 for g.
-2, 1, 15
Solve -j**3/6 + 28*j**2/3 - 725*j/6 - 841/3 = 0.
-2, 29
Factor -r**2/3 + 10*r/3 + 200.
-(r - 30)*(r + 20)/3
Let 4*h**2/9 + 440*h/9 + 1696/9 = 0. What is h?
-106, -4
Suppose w**3/10 - w**2/10 = 0. Calculate w.
0, 1
Factor -25*w**3 - 865*w**2 - 500*w + 340.
-5*(w + 1)*(w + 34)*(5*w - 2)
Determine x so that 2*x**3/7 - 998*x**2/7 - 3008*x/7 - 2008/7 = 0.
-2, -1, 502
Factor -25*p**2 - 349*p/2 + 7/2.
-(p + 7)*(50*p - 1)/2
Factor 2*l**3/17 - 58*l**2/17.
2*l**2*(l - 29)/17
Determine t, given that -5*t**2 + 13750*t - 9453125 = 0.
1375
What is k in -5*k**2 - 300*k - 855 = 0?
-57, -3
Factor -4*j**2 - 21800*j - 29702500.
-4*(j + 2725)**2
Solve -4*r**5/7 + 32*r**4/7 - 68*r**3/7 - 8*r**2 + 48*r - 288/7 = 0 for r.
-2, 2, 3
Determine t, given that -4*t**4 + 120*t**3 + 260*t**2 - 120*t - 256 = 0.
-2, -1, 1, 32
Factor -5*z**3/3 - 850*z**2/3 + 1715*z/3 - 860/3.
-5*(z - 1)**2*(z + 172)/3
Factor 2*l**5/9 - 2*l**4/3 - 28*l**3/3 - 196*l**2/9 - 58*l/3 - 6.
2*(l - 9)*(l + 1)**3*(l + 3)/9
Factor -4*q**5 - 122*q**4 - 1260*q**3 - 4600*q**2 - 2000*q.
-2*q*(q + 10)**3*(2*q + 1)
Let -5*c**2 + 120*c - 220 = 0. What is c?
2, 22
Find w such that -2*w**5/5 + 2*w**4/5 + 2*w**3/5 - 2*w**2/5 = 0.
-1, 0, 1
Factor 3*i**2/5 - 27948*i/5 + 65090892/5.
3*(i - 4658)**2/5
Solve -2*a**2/7 + 9854*a/7 + 1408 = 0 for a.
-1, 4928
Find y such that -2*y**4/5 - 4*y**3 + 46*y**2/5 - 24*y/5 = 0.
-12, 0, 1
Let 14*h**3/3 + 302*h**2 + 2344*h/3 - 248 = 0. What is h?
-62, -3, 2/7
Factor -r**2 + 425*r + 426.
-(r - 426)*(r + 1)
Factor -3*k**2/5 + 174*k/5 + 273.
-3*(k - 65)*(k + 7)/5
Factor -2*v**3/19 + 60*v**2/19.
-2*v**2*(v - 30)/19
Factor 3*r**2/5 - 33*r/5 + 72/5.
3*(r - 8)*(r - 3)/5
Find g such that -5*g**2 - 315*g - 900 = 0.
-60, -3
Solve 5*v**4/2 - 285*v**3/2 + 275*v**2 = 0.
0, 2, 55
Let 2*r**5 + 438*r**4 + 1302*r**3 + 1298*r**2 + 432*r = 0. What is r?
-216, -1, 0
Factor 2*x**4 - 14*x**3 + 12*x**2.
2*x**2*(x - 6)*(x - 1)
Factor 2*y**2 - 41*y + 20.
(y - 20)*(2*y - 1)
Factor -6*o**4/7 + 76*o**3/7 - 48*o**2 + 576*o/7 - 256/7.
-2*(o - 4)**3*(3*o - 2)/7
Solve -2*r**4 - 136*r**3 - 126*r**2 + 544*r + 536 = 0 for r.
-67, -2, -1, 2
Suppose -8*r**3/9 - 46*r**2/9 - 28*r/9 + 10/9 = 0. What is r?
-5, -1, 1/4
Factor -p**2 - 138*p - 4761.
-(p + 69)**2
Factor 8*m**4 - 60*m**3 + 96*m**2 + 64*m.
4*m*(m - 4)**2*(2*m + 1)
Factor 3*q**3 - 6768*q**2 + 3817152*q.
3*q*(q - 1128)**2
Solve h**4 + 15*h**3 + 23*h**2 - 315*h - 324 = 0 for h.
-9, -1, 4
Let 46*w**2/17 - 42*w/17 - 4/17 = 0. Calculate w.
-2/23, 1
Factor 16*u**3/5 - 20856*u**2/5 + 9061932*u/5 - 1312469818/5.
2*(2*u - 869)**3/5
Determine q, given that 3721*q**5/4 - 2867*q**4/4 - 805*q**3/4 - 49*q**2/4 = 0.
-7/61, 0, 1
Find o, given that -2*o**5 - 22*o**4/3 + 256*o**3 + 520*o**2/3 = 0.
-13, -2/3, 0, 10
Factor z**2 - 10*z - 11.
(z - 11)*(z + 1)
Factor 5*s**4/3 - 1430*s**3/3 + 1420*s**2 - 4250*s/3 + 1415/3.
5*(s - 283)*(s - 1)**3/3
Suppose 3*c**5 - 39*c**4 + 108*c**3 + 48*c**2 - 480*c + 432 = 0. What is c?
-2, 2, 9
Factor 2*s**4/19 + 704*s**3/19 + 61952*s**2/19.
2*s**2*(s + 176)**2/19
Find k such that -5*k**4 + 35*k**3 - 75*k**2 + 45*k = 0.
0, 1, 3
Factor -o**2/4 - 80*o - 6400.
-(o + 160)**2/4
Solve -2*n**5 + 2726*n**4 - 1236692*n**3 + 185911180*n**2 + 375543350*n + 188392750 = 0.
-1, 455
Solve 3*u**5 - 30*u**4 + 48*u**3 = 0 for u.
0, 2, 8
Factor 5*g**4 - 30*g**3 + 65*g**2 - 60*g + 20.
5*(g - 2)**2*(g - 1)**2
Factor -2*r**4 - 56*r**3 + 2*r**2 + 56*r.
-2*r*(r - 1)*(r + 1)*(r + 28)
Factor -3*b**4/2 - 351*b**3/2 + 177*b**2.
-3*b**2*(b - 1)*(b + 118)/2
Factor -10*f**3 - 145*f**2 - 195*f.
-5*f*(f + 13)*(2*f + 3)
Factor 12*v**2 - 148*v + 48.
4*(v - 12)*(3*v - 1)
Find a, given that -3*a**3 - a**2 + 12*a + 4 = 0.
-2, -1/3, 2
Suppose 5*m**2 + 540*m - 14300 = 0. Calculate m.
-130, 22
Solve 4*g**2 + 108*g + 288 = 0.
-24, -3
Let -3*d**2/4 + 69*d/4 + 18 = 0. What is d?
-1, 24
Factor 3*h**4/5 - 18*h**3/5 + 3*h**2/5 + 72*h/5 + 48/5.
3*(h - 4)**2*(h + 1)**2/5
Factor 2*c**3 + 8*c**2 - 6*c - 36.
2*(c - 2)*(c + 3)**2
Factor 4*h**2 - 4088*h + 1044484.
4*(h - 511)**2
Find l, given that 3*l**5/2 - 93*l**4 + 177*l**3/2 + 183*l**2 = 0.
-1, 0, 2, 61
Let 25*i**5 + 110*i**4 + 90*i**3 - 80*i**2 - 115*i - 30 = 0. Calculate i.
-3, -1, -2/5, 1
Factor -4*h**3 - 2356*h**2.
-4*h**2*(h + 589)
Solve 3*o**4 + 1296*o**3 + 155802*o**2 + 3420144*o + 20892963 = 0 for o.
-203, -13
Let -3*d**4 - 906*d**3 - 74451*d**2 - 913248*d - 3048192 = 0. What is d?
-144, -7
Factor -p**3 + p**2.
-p**2*(p - 1)
Let -3*d**3/4 - 153*d**2/8 + 30*d - 81/8 = 0. Calculate d.
-27, 1/2, 1
What is g in g**4/5 - 12*g**3/5 + 27*g**2/5 + 4*g/5 - 36/5 = 0?
-1, 2, 9
Find z such that -2*z**4/3 - 46*z**3/3 - 112*z**2 - 640*z/3 + 1024/3 = 0.
-8, 1
Find n, given that -3*n**3/2 + 315*n**2 - 16218*n - 33708 = 0.
-2, 106
Find d, given that 2*d**2/9 - 2468*d/3 + 761378 = 0.
1851
Factor -2*o**4 - 62*o**3 + 198*o**2 - 202*o + 68.
-2*(o - 1)**3*(o + 34)
Factor -5*y**4 - 25*y**3.
-5*y**3*(y + 5)
Factor p**2/2 + 123*p/2 - 189.
(p - 3)*(p + 126)/2
Factor -w**2/3 + 49*w - 290/3.
-(w - 145)*(w - 2)/3
Find b, given that -2*b**5/7 + 118*b**4/7 - 758*b**3/7 + 1578*b**2/7 - 936*b/7 = 0.
0, 1, 3, 52
Factor 5*u**4/4 - 21*u**3/2 + 4*u**2.
u**2*(u - 8)*(5*u - 2)/4
Solve -14*u**5/19 - 214*u**4/19 + 962*u**3/19 - 506*u**2/19 - 12*u = 0 for u.
-19, -2/7, 0, 1, 3
Solve -16*v**2 - 474*v/5 + 36/5 = 0.
-6, 3/40
Let 12*m**2 + 376*m - 660 = 0. What is m?
-33, 5/3
Let o**3 - 2*o**2 + o = 0. What is o?
0, 1
Find w, given that w**4/4 - 8*w**3 + 143*w**2/2 - 120*w + 225/4 = 0.
1, 15
Determine w so that -3*w**4 + 57*w**2 + 18*w - 216 = 0.
-3, 2, 4
Determine w, given that -w**5 - 17*w**4 - 29*w**3 + 17*w**2 + 30*w = 0.
-15, -2, -1, 0, 1
Find b, given that -32*b**3 + 5784*b**2 - 348486*b + 13997521/2 = 0.
241/4
Find v, given that 18*v**5/11 + 562*v**4/11 - 488*v**3/11 - 1288*v**2/11 - 256*v/11 = 0.
-32, -1, -2/9, 0, 2
Find j, given that -6904*j**3/7 - 5186*j**2/7 + 1720*j/7 + 2/7 = 0.
-1, -1/863, 1/4
Factor 10*m**3/7 - 18*m**2/7 - 12*m/7 + 16/7.
2*(m - 2)*(m + 1)*(5*m - 4)/7
Find d, given that 12*d**4 - 1612*d**3 - 2764*d**2 + 5996*d - 1632 = 0.
-3, 1/3, 1, 136
Let -3*r**4 - 9*r**3 + 15*r**2 + 9*r - 12 = 0. Calculate r.
-4, -1, 1
Factor -2*u**3/9 - 44*u**2/9 - 38*u/9 + 28/3.
-2*(u - 1)*(u + 2)*(u + 21)/9
Determine n so that 2*n**5/3 + 28*n**4/3 + 28*n**3/3 - 472*n**2/3 + 246*n - 108 = 0.
-9, 1, 2
Let -z**4/2 - 321*z**3/2 + 645*z**2/2 - 323*z/2 = 0. What is z?
-323, 0, 1
Find u, given that u**2/11 + 20*u/11 + 19/11 = 0.
-19, -1
Factor r**4 - 18*r**3 + 83*r**2 - 66*r.
r*(r - 11)*(r - 6)*(r - 1)
Determine w so that 2*w**3/9 - 26*w/9 - 8/3 = 0.
-3, -1, 4
What is v in 3*v**5/4 - 63*v**4/4 - 33*v**3/2 = 0?
-1, 0, 22
Factor -2*h**3/5 + 922*h**2/5 + 2*h/5 - 922/5.
-2*(h - 461)*(h - 1)*(h + 1)/5
Factor -3*m**2/7 - 42*m - 855/7.
-3*(m + 3)*(m + 95)/7
Find m such that -2*m**3 - 274*m**2 - 9782*m - 26934 = 0.
-67, -3
Let 4*v**2/7 + 216*v/7 - 220/7 = 0. What is v?
-55, 1
Factor -2*s**3 + 64*s**2 - 230*s + 168.
-2*(s - 28)*(s - 3)*(s - 1)
Solve 3*s**5 - 75*s**3 - 180*s**2 - 108*s = 0.
-3, -2, -1, 0, 6
Let -5*w**3 + 60*w**2 + 65*w = 0. What is w?
-1, 0, 13
Factor 15*t**2/4 - 2247*t/2.
3*t*(5*t - 1498)/4
Suppose g**2/3 + 230*g/3 - 233 = 0. What is g?
-233, 3
Suppose 2*r**5 - 4*r**4 - 30*r**3 + 40*r**2 + 88*r - 96 = 0. Calculate r.
-3, -2, 1