 8*z**2/3 - 284*z/3 - 364 = 0.
-7/2, 39
Find a, given that a**5/3 - 13*a**4 - 212*a**3/3 - 116*a**2 - 176*a/3 = 0.
-2, -1, 0, 44
Let 2*c**3/9 + 8*c**2/9 - 2*c/9 - 8/9 = 0. What is c?
-4, -1, 1
Factor v**4/3 - 7*v**3/3 + 2*v**2.
v**2*(v - 6)*(v - 1)/3
Suppose 2*m**2 + 72*m - 74 = 0. Calculate m.
-37, 1
Factor b**4/4 - 17*b**3/4 + 20*b**2 - 16*b.
b*(b - 8)**2*(b - 1)/4
Factor 3*k**2 + 864*k + 2565.
3*(k + 3)*(k + 285)
Suppose -v**5/3 - 8*v**4/3 + 5*v**3 + 50*v**2/3 - 44*v/3 - 24 = 0. Calculate v.
-9, -2, -1, 2
Factor r**2/10 - 126*r/5 + 7938/5.
(r - 126)**2/10
Determine g so that 2*g**3/7 + 558*g**2/7 + 51894*g/7 + 1608714/7 = 0.
-93
Let -2*p**2/13 + 1152*p/13 - 165888/13 = 0. What is p?
288
Find r such that -r**3/4 + 109*r**2/4 + 225*r/4 - 333/4 = 0.
-3, 1, 111
Factor -2*l**3/5 + 28*l**2/5 + 294*l/5.
-2*l*(l - 21)*(l + 7)/5
Factor -25*l**2 - 1285*l - 510.
-5*(l + 51)*(5*l + 2)
Factor -p**2 - 417*p + 418.
-(p - 1)*(p + 418)
Factor 49*k**4/4 + 1036*k**3 + 22198*k**2 + 12432*k + 1764.
(k + 42)**2*(7*k + 2)**2/4
Determine w, given that 2*w**5 + 2*w**4 - 30*w**3 + 46*w**2 - 20*w = 0.
-5, 0, 1, 2
Determine o so that 5*o**5 - 110*o**4 + 600*o**3 + 110*o**2 - 605*o = 0.
-1, 0, 1, 11
Find g, given that g**5/3 - g**4 - 4*g**3/3 = 0.
-1, 0, 4
What is q in -4*q**5 + 388*q**4 - 372*q**3 - 1156*q**2 + 376*q + 768 = 0?
-1, 1, 2, 96
Factor 9*q**4 - 3183*q**3 + 11569*q**2 - 6653*q + 1050.
(q - 350)*(q - 3)*(3*q - 1)**2
Find w such that 5*w**5 - 1235*w**4 + 102090*w**3 - 2857700*w**2 + 2756840*w = 0.
0, 1, 82
Suppose 5*p**2 - 20*p - 60 = 0. What is p?
-2, 6
Factor 5*u**4/3 - 25*u**3/3 + 10*u**2.
5*u**2*(u - 3)*(u - 2)/3
Factor 2*q**3 - 20*q**2 - 362*q + 380.
2*(q - 19)*(q - 1)*(q + 10)
Find d, given that -9*d**5/4 + 3*d**4/4 + 5*d**3/4 + d**2/4 = 0.
-1/3, 0, 1
Factor 5*o**4 - 115*o**3 + 215*o**2 - 105*o.
5*o*(o - 21)*(o - 1)**2
Let -2*a**3/9 - 40*a**2/9 - 74*a/9 - 4 = 0. What is a?
-18, -1
Factor -q**3 - 133*q**2.
-q**2*(q + 133)
Determine y, given that 2*y**5 + 86*y**4/5 + 264*y**3/5 + 64*y**2 + 64*y/5 - 96/5 = 0.
-3, -2, 2/5
What is m in 7*m**5 - 6*m**4 - 37*m**3 + 4*m**2 + 60*m + 32 = 0?
-8/7, -1, 2
Find r, given that -2*r**4/3 - 358*r**3/3 + 120*r**2 = 0.
-180, 0, 1
Factor 2*y**2 - 18*y - 44.
2*(y - 11)*(y + 2)
Factor -2*z**2/3 - 28*z - 82/3.
-2*(z + 1)*(z + 41)/3
Factor -5*m**2/3 - 680*m/3 - 225.
-5*(m + 1)*(m + 135)/3
Factor 4*a**2 - 696*a + 30276.
4*(a - 87)**2
Let -29*y**4/3 + 10*y**3 + 173*y**2/3 - 2*y = 0. What is y?
-2, 0, 1/29, 3
Factor -2*k**2/5 - 2*k/5 + 12.
-2*(k - 5)*(k + 6)/5
Find u such that -3*u**2 - 2994*u - 747003 = 0.
-499
Factor 3*u**2/7 - 4062*u/7 + 1374987/7.
3*(u - 677)**2/7
What is i in 32*i**5 - 400*i**4 + 866*i**3 - 680*i**2 + 202*i - 20 = 0?
1/4, 1, 10
Factor 4*i**2/3 - 52*i/3 + 16.
4*(i - 12)*(i - 1)/3
Suppose -5*n**3 + 180*n**2 - 345*n + 170 = 0. What is n?
1, 34
Factor -2*m**3/9 + 50*m**2/3.
-2*m**2*(m - 75)/9
Factor 3*v**2/2 - 27*v/2 - 33.
3*(v - 11)*(v + 2)/2
Find g such that -g**4/6 + 4*g**3 - 3*g**2 - 56*g/3 - 23/2 = 0.
-1, 3, 23
Find h such that h**4/4 + 5*h**3/4 - 2*h**2 - 3*h = 0.
-6, -1, 0, 2
Factor 2*h**2/5 - 102*h/5 + 20.
2*(h - 50)*(h - 1)/5
What is i in 3*i**2 + 15*i = 0?
-5, 0
Suppose 4*z**5 + 32*z**4 + 88*z**3 + 112*z**2 + 68*z + 16 = 0. What is z?
-4, -1
Suppose -i**4/2 + 13*i**3/4 + 66*i**2 - 135*i/4 = 0. What is i?
-9, 0, 1/2, 15
Suppose -5*h**2 - 380*h - 7220 = 0. What is h?
-38
Suppose 16*v**4/3 + 8*v**3/3 - 4*v**2 - 10*v/3 - 2/3 = 0. What is v?
-1/2, 1
Factor -h**4/2 + 13*h**3 - 12*h**2 - 13*h + 25/2.
-(h - 25)*(h - 1)**2*(h + 1)/2
Factor h**2/2 - 218*h + 23762.
(h - 218)**2/2
Factor -3*y**4/4 - 15*y**3/2 - 99*y**2/4 - 30*y - 12.
-3*(y + 1)**2*(y + 4)**2/4
Solve 2*v**4/3 - 20*v**3/9 + 2*v**2/9 + 4*v/3 = 0.
-2/3, 0, 1, 3
Find r, given that -4*r**2 + 1072*r - 2128 = 0.
2, 266
Suppose 5*p**2 + 525*p - 3330 = 0. What is p?
-111, 6
Factor -i**3/2 + 586*i**2 - 2341*i/2 + 585.
-(i - 1170)*(i - 1)**2/2
Suppose -4*u**5 + 344*u**4 - 7728*u**3 + 14112*u**2 = 0. Calculate u.
0, 2, 42
Factor 3*x**4 - 48*x**3 + 138*x**2 + 432*x + 243.
3*(x - 9)**2*(x + 1)**2
Factor -2*v**3/11 + 130*v**2/11 - 2294*v/11 + 5766/11.
-2*(v - 31)**2*(v - 3)/11
Factor -5*o**4 - 60*o**3 + 135*o**2 - 70*o.
-5*o*(o - 1)**2*(o + 14)
Factor -4*a**2 + 444*a - 872.
-4*(a - 109)*(a - 2)
Find z such that 2*z**2/5 + 14*z + 68/5 = 0.
-34, -1
Determine b, given that -10*b**5 - 145*b**4 - 40*b**3 + 415*b**2 - 80*b - 140 = 0.
-14, -2, -1/2, 1
Suppose 3*w**4 - 5*w**3 - 5*w**2 + 5*w + 2 = 0. What is w?
-1, -1/3, 1, 2
Suppose -r**2 - 13*r + 30 = 0. What is r?
-15, 2
Factor 2*t**4/5 + 68*t**3 + 13394*t**2/5 - 17952*t + 139392/5.
2*(t - 3)**2*(t + 88)**2/5
Let -2*v**5 - 54*v**4 - 230*v**3 - 210*v**2 + 232*v + 264 = 0. What is v?
-22, -3, -2, -1, 1
Factor 2*p**4 + 8*p**3 - 74*p**2 - 80*p.
2*p*(p - 5)*(p + 1)*(p + 8)
Factor -3*j**4 + 111*j**3 - 210*j**2.
-3*j**2*(j - 35)*(j - 2)
Factor z**3/6 - z**2 + 11*z/6 - 1.
(z - 3)*(z - 2)*(z - 1)/6
Factor -7*m**3/10 + 5*m**2/2 - 8*m/5 - 6/5.
-(m - 2)**2*(7*m + 3)/10
Solve 4*u**5 + 8*u**4 - 8*u**3 - 32*u**2 - 28*u - 8 = 0.
-1, 2
Determine w, given that -w**2/3 - 41*w/3 - 238/3 = 0.
-34, -7
Find a such that 2*a**4/11 - 142*a**3/11 + 2964*a**2/11 - 15616*a/11 + 20480/11 = 0.
2, 5, 32
Factor -5*f**2 - 3670*f - 673445.
-5*(f + 367)**2
Factor -4*u**3 + 288*u**2 + 4620*u + 16856.
-4*(u - 86)*(u + 7)**2
Determine r, given that -4*r**3/5 - 1168*r**2/5 + 4*r/5 + 1168/5 = 0.
-292, -1, 1
What is l in l**3/2 - l**2 - 4*l = 0?
-2, 0, 4
Factor -3*z**2/5 + 4836*z/5 - 1948908/5.
-3*(z - 806)**2/5
Factor -3*c**3 + 261*c**2 - 7569*c + 73167.
-3*(c - 29)**3
Solve -4*j**3 + 196*j**2 + 420*j - 612 = 0.
-3, 1, 51
Determine j, given that -3*j**4/2 + 54*j**3 + 171*j**2 + 174*j + 117/2 = 0.
-1, 39
Factor -2*z**4 + 4*z**2 - 2.
-2*(z - 1)**2*(z + 1)**2
Factor 2*t**3 - 38*t**2.
2*t**2*(t - 19)
Suppose -3*t**4 + 3114*t**3 - 804963*t**2 - 1619280*t - 811200 = 0. Calculate t.
-1, 520
Determine w, given that 33*w**5/7 - 60*w**4/7 - 45*w**3/7 + 60*w**2/7 + 12*w/7 = 0.
-1, -2/11, 0, 1, 2
Factor k**5/6 + 6*k**4 + 70*k**3 + 784*k**2/3.
k**2*(k + 8)*(k + 14)**2/6
Determine w, given that -3*w**3 + 1299*w**2 + 3*w - 1299 = 0.
-1, 1, 433
Factor -o**4/4 - 13*o**3/4 + 16*o**2 - 17*o.
-o*(o - 2)**2*(o + 17)/4
Factor -392*x**3/5 - 2968*x**2/5 + 1326*x/5 - 144/5.
-2*(x + 8)*(14*x - 3)**2/5
Suppose -3*x**3/5 - 4212*x**2/5 - 1971216*x/5 - 307509696/5 = 0. What is x?
-468
Find z, given that 2*z**3/7 + 12*z**2/7 - 32*z/7 = 0.
-8, 0, 2
Factor -m**2/9 + 11*m/9 + 14/3.
-(m - 14)*(m + 3)/9
Let 25*d**4 - 65*d**3 - 255*d**2 - 215*d - 50 = 0. Calculate d.
-1, -2/5, 5
Suppose -5*w**5 + 10*w**4 + 345*w**3 - 2110*w**2 + 4160*w - 2400 = 0. What is w?
-10, 1, 3, 4
Factor 3*l**5 - 18*l**4 + 27*l**3 - 12*l**2.
3*l**2*(l - 4)*(l - 1)**2
Factor 2*f**3 - 178*f**2 - 362*f - 182.
2*(f - 91)*(f + 1)**2
Suppose 2*p**2/7 + 50*p/7 - 232/7 = 0. What is p?
-29, 4
Solve 3*r**2 + 36*r - 39 = 0.
-13, 1
Factor -3*z**3/8 + 75*z**2/2 - 423*z/2.
-3*z*(z - 94)*(z - 6)/8
Suppose -5*i**3 + 30*i**2 + 155*i - 180 = 0. Calculate i.
-4, 1, 9
Factor 2*s**3/3 + 158*s**2/3 + 560*s + 1608.
2*(s + 6)**2*(s + 67)/3
Suppose -5*j**4/3 - 11950*j**3/3 - 2376055*j**2 + 14292200*j/3 - 7152080/3 = 0. Calculate j.
-1196, 1
Suppose 2*a**3/5 - 14*a**2/5 - 5378*a/5 + 1078 = 0. Calculate a.
-49, 1, 55
Factor u**4 - 622*u**3 + 96721*u**2.
u**2*(u - 311)**2
Factor 3*a**2/2 - 24*a + 96.
3*(a - 8)**2/2
Factor -z**3/4 + 3*z**2/2 - 9*z/4 + 1.
-(z - 4)*(z - 1)**2/4
Factor -3*b**4 - 66*b**3 - 540*b**2 - 1944*b - 2592.
-3*(b + 4)*(b + 6)**3
Suppose 3*i**5/2 - i**4/2 - 9*i**3 - 9*i**2 - i/2 + 3/2 = 0. What is i?
-1, 1/3, 3
Suppose -4*u**4 - 20*u**3 - 12*u**2 + 36*u = 0. Calculate u.
-3, 0, 1
Solve 3*x**5/7 + 87*x**4/7 + 234*x**3/7 = 0 for x.
-26, -3, 0
Suppose -5*q**5 - 90*q**4 + 825*q**3 - 1250*q**2 = 0. What is q?
-25, 0, 2, 5
Factor w**2 + 61*w - 62.
(w - 1)*(w + 62)
Factor y**3 - 28*y**2 + 27*y.
y*(y - 27)*(y - 1)
Suppose -2*m**5 + 78*m**4 - 358*m**3 + 626*m**2 - 480*m + 136 = 0. What is m?
1, 2, 34
Factor -5*a**3 + 185*a**2 - 1800*a + 1620.
-5*(a - 18)**2*(a - 1)
Factor 4*g**5 + 116*g**4 + 1324*g**3 + 7420*g**2 + 20384*g + 21952.
4*(g + 4)**2*(g + 7)**3
Factor 5*d**3 + 180*d**2 + 775*d.
5*d*(d + 5)*(d + 31)
Factor -5*y**3 - 455*y**2