- 1414*h/5 + 354/5.
-2*(h + 177)*(4*h - 1)/5
Factor -s**2/4 + s/4 + 1/2.
-(s - 2)*(s + 1)/4
Find q such that 4*q**4 - 88*q**3 + 20*q**2 + 1264*q + 1680 = 0.
-2, 5, 21
Let 2*r**5/11 - 2*r**3 - 12*r**2/11 + 56*r/11 + 48/11 = 0. Calculate r.
-2, -1, 2, 3
Let -3*v**5 + 135*v**4 - 1293*v**3 - 5319*v**2 + 1296*v + 5184 = 0. What is v?
-3, -1, 1, 24
Let 2*n**4/3 + 74*n**3 + 428*n**2 + 2536*n/3 + 560 = 0. What is n?
-105, -2
Let 3*m**4 + 9*m**3 - 627*m**2 - 9*m + 624 = 0. Calculate m.
-16, -1, 1, 13
Solve 972*f**5 - 918*f**4 - 258*f**3 + 218*f**2 - 10*f - 4 = 0 for f.
-1/2, -1/9, 2/9, 1/3, 1
Solve r**2/3 - 37*r/3 - 38/3 = 0.
-1, 38
Factor 5*q**4 - 15*q**3 - 30*q**2 + 40*q.
5*q*(q - 4)*(q - 1)*(q + 2)
Factor -7*p**2/9 + 25*p/3 + 22/9.
-(p - 11)*(7*p + 2)/9
Factor -v**2 + 19*v.
-v*(v - 19)
Let 3*h**2/7 + 264*h/7 + 261/7 = 0. Calculate h.
-87, -1
Determine u so that -2*u**2 + 26*u + 280 = 0.
-7, 20
Suppose 2*c**5/11 + 46*c**4/11 + 228*c**3/11 + 424*c**2/11 + 272*c/11 = 0. What is c?
-17, -2, 0
Factor -5*k**4/3 - 6*k**3 + 11*k**2 - 10*k/3.
-k*(k - 1)*(k + 5)*(5*k - 2)/3
Factor -2*t**2 - 20*t + 528.
-2*(t - 12)*(t + 22)
Factor 3*c**4/2 + 168*c**3 - 342*c**2.
3*c**2*(c - 2)*(c + 114)/2
Find z such that 5*z**4 - 5*z**2 = 0.
-1, 0, 1
Factor 4*p**4 + 24*p**3 + 44*p**2 + 24*p.
4*p*(p + 1)*(p + 2)*(p + 3)
Find m, given that -4*m**3 + 20*m**2 - 28*m + 12 = 0.
1, 3
Factor 5*w**2 - 425*w + 420.
5*(w - 84)*(w - 1)
Factor 3*f**4/2 - 36*f**3 + 249*f**2 - 396*f + 363/2.
3*(f - 11)**2*(f - 1)**2/2
Factor -m**4/2 + 62*m**3 - 3843*m**2/2 - 62*m + 1922.
-(m - 62)**2*(m - 1)*(m + 1)/2
Factor -4*p**3 + 92*p**2 + 312*p.
-4*p*(p - 26)*(p + 3)
Factor 5*u**2 + 14950*u.
5*u*(u + 2990)
Factor p**5 + 2655*p**4 + 5306*p**3 - 2*p**2 - 5307*p - 2653.
(p - 1)*(p + 1)**3*(p + 2653)
Let h**2/4 + 364*h + 132496 = 0. What is h?
-728
Let 4*n**4/3 - 160*n**3/3 + 532*n**2 + 160*n/3 - 1600/3 = 0. What is n?
-1, 1, 20
Factor -5*l**2/3 - 950*l/3 - 935.
-5*(l + 3)*(l + 187)/3
Suppose w**2/3 + 9*w = 0. Calculate w.
-27, 0
Let 7*w**5/6 + 11*w**4/6 - 19*w**3/3 - 4*w**2 = 0. Calculate w.
-3, -4/7, 0, 2
Factor 3*f**3 + 15*f**2 - 168*f - 180.
3*(f - 6)*(f + 1)*(f + 10)
What is m in 100*m**3 + 520*m**2 + 676*m = 0?
-13/5, 0
Factor 4*p**2 + 480*p + 14400.
4*(p + 60)**2
Factor -a**3/2 + a**2 - a/2.
-a*(a - 1)**2/2
Factor -4*o**4 + 9392*o**3 - 7357056*o**2 + 1927523648*o - 3825694144.
-4*(o - 782)**3*(o - 2)
Solve -2*y**5/9 + 74*y**4/9 - 352*y**3/9 - 6776*y**2/9 = 0.
-7, 0, 22
Suppose -10*t**4 + 42*t**3 - 8*t**2 = 0. What is t?
0, 1/5, 4
Factor -2*n**2/3 + 524*n/3 - 34322/3.
-2*(n - 131)**2/3
Suppose 8*p**5/9 - 470*p**4/9 - 698*p**3/3 - 2998*p**2/9 - 1634*p/9 - 28 = 0. Calculate p.
-2, -1, -1/4, 63
What is s in -14*s**5 + 194*s**4/3 + 256*s**3/3 - 272*s**2 - 352*s/3 + 160/3 = 0?
-2, -2/3, 2/7, 2, 5
Factor 81*i**4/4 + 729*i**3 + 1431*i**2/2 + 237*i + 105/4.
3*(i + 35)*(3*i + 1)**3/4
Find i, given that i**5/2 + 11*i**4/2 - 249*i**3/2 + 625*i**2/2 + 28*i - 414 = 0.
-23, -1, 2, 9
Find t, given that -5*t**2 - 5*t = 0.
-1, 0
Factor 2178*r**3 - 60896*r**2 - 22168*r/9 - 224/9.
2*(r - 28)*(99*r + 2)**2/9
Factor -15*o**4 + 69*o**3 - 30*o**2 - 24*o.
-3*o*(o - 4)*(o - 1)*(5*o + 2)
Suppose 15*z**4 - 12*z**3 - 18*z**2 + 12*z + 3 = 0. Calculate z.
-1, -1/5, 1
Factor -2*i**3/13 - 14*i**2/13 - 28*i/13 - 16/13.
-2*(i + 1)*(i + 2)*(i + 4)/13
Solve -42*i**5/5 - 90*i**4 - 1758*i**3/5 - 2862*i**2/5 - 1296*i/5 + 648/5 = 0.
-3, -2, 2/7
Suppose 12*l**3 - 224*l**2 - 1040*l - 1088 = 0. What is l?
-2, 68/3
Factor -9*a**2 - 168*a - 108.
-3*(a + 18)*(3*a + 2)
Solve -z**3 + 10*z**2 - 17*z + 8 = 0 for z.
1, 8
Let 3*c**2 - 15*c + 18 = 0. Calculate c.
2, 3
Let -n**5 + 158*n**4 - 465*n**3 = 0. What is n?
0, 3, 155
Solve 42*t**3/5 - 142*t**2/5 - 20*t - 16/5 = 0.
-1/3, -2/7, 4
Factor 2*t**2/5 - 516*t/5 + 33282/5.
2*(t - 129)**2/5
Factor 4*o**3/3 + 19*o**2/3 + 4*o.
o*(o + 4)*(4*o + 3)/3
Factor -116*x**2 + 108*x + 8.
-4*(x - 1)*(29*x + 2)
Find u such that -3*u**4 - 15*u**3 + 9*u**2 + 51*u + 30 = 0.
-5, -1, 2
Solve 2*a**3 + 216*a**2 - 438*a + 220 = 0 for a.
-110, 1
Suppose 5*w**5 - 40*w**4 + 115*w**3 - 140*w**2 + 60*w = 0. Calculate w.
0, 1, 2, 3
Solve 2*f**2/3 + 182*f/3 + 1220 = 0.
-61, -30
Factor -2*g**2/7 - 2848*g/7 + 5704/7.
-2*(g - 2)*(g + 1426)/7
Let -2*z**2/11 - 64*z/11 - 512/11 = 0. Calculate z.
-16
Factor u**2/6 + 32*u/3 + 295/6.
(u + 5)*(u + 59)/6
Find r, given that -2*r**5/3 + 28*r**4/3 - 2*r**3/3 - 104*r**2 = 0.
-3, 0, 4, 13
Determine i so that -3*i**5 + 42*i**4 - 135*i**3 - 168*i**2 + 588*i = 0.
-2, 0, 2, 7
What is y in y**3 - 2*y**2 - 24*y = 0?
-4, 0, 6
Find h such that -5*h**4 - 175*h**3 - 1480*h**2 - 3980*h - 3360 = 0.
-24, -7, -2
Factor 3*d**5 - 242*d**4 + 6478*d**3 - 56700*d**2 - 24057*d + 39366.
(d - 27)**3*(d + 1)*(3*d - 2)
Factor d**2 - 42*d + 320.
(d - 32)*(d - 10)
Determine k so that 2*k**4/7 + 4*k**3/7 - 40*k**2/7 + 48*k/7 = 0.
-6, 0, 2
Suppose 2*a**2 - 72*a + 648 = 0. What is a?
18
Find y such that 5*y**2 - 10*y - 120 = 0.
-4, 6
Suppose k**3/4 - k**2/4 - 33*k/4 - 63/4 = 0. Calculate k.
-3, 7
Factor -2*t**4/21 - 10*t**3/21 - 2*t**2/3 - 2*t/7.
-2*t*(t + 1)**2*(t + 3)/21
Determine t so that 4*t**5 - 28*t**4 + 40*t**3 + 72*t**2 - 108*t - 108 = 0.
-1, 3
Factor 2*k**3 + 762*k**2 - 1530*k + 766.
2*(k - 1)**2*(k + 383)
Factor 2*c**2 - 3758*c.
2*c*(c - 1879)
Find l such that 2*l**5/5 + 304*l**4/5 - 3846*l**3/5 + 2932*l**2 - 3280*l = 0.
-164, 0, 2, 5
Determine c so that c**2/6 + 77*c/3 + 5929/6 = 0.
-77
Factor -2*j**2/5 - 896*j/5 + 898/5.
-2*(j - 1)*(j + 449)/5
Factor -5*z**4 + 5*z**3 + 15*z**2 - 5*z - 10.
-5*(z - 2)*(z - 1)*(z + 1)**2
Determine q so that 4*q**5 + 20*q**4 + 20*q**3 - 20*q**2 - 24*q = 0.
-3, -2, -1, 0, 1
Factor 3*d**3/7 - 732*d**2/7 + 2175*d/7 - 1446/7.
3*(d - 241)*(d - 2)*(d - 1)/7
Solve -3*q**4 - 48*q**3 + 3*q**2 + 48*q = 0 for q.
-16, -1, 0, 1
Factor 5*b**4 + 790*b**3 + 34825*b**2 + 280460*b + 246420.
5*(b + 1)*(b + 9)*(b + 74)**2
Factor 3*o**3 + 687*o**2 - 4203*o + 6345.
3*(o - 3)**2*(o + 235)
Let o**4/9 + 64*o**3/9 + 362*o**2/3 + 1984*o/9 + 961/9 = 0. Calculate o.
-31, -1
Solve 5*x**5 + 15*x**4 - 15*x**3 - 35*x**2 + 30*x = 0.
-3, -2, 0, 1
Determine x so that -2*x**3 + 48*x**2 - 238*x - 288 = 0.
-1, 9, 16
Find o, given that -o**2 - 15*o + 34 = 0.
-17, 2
Factor 3*m**2 - 141*m + 936.
3*(m - 39)*(m - 8)
Find a such that 3*a**2/2 + 57*a = 0.
-38, 0
Factor 2*g**3 - 18*g**2 + 12*g + 32.
2*(g - 8)*(g - 2)*(g + 1)
Factor -10*v**2/11 + 544*v/11 - 216/11.
-2*(v - 54)*(5*v - 2)/11
Factor -r**5 + 18*r**4 - 104*r**3 + 272*r**2 - 336*r + 160.
-(r - 10)*(r - 2)**4
Factor 165*c**3 - 670*c**2 + 535*c - 30.
5*(c - 3)*(c - 1)*(33*c - 2)
Determine w, given that 5*w**5 + 35*w**4 + 55*w**3 - 95*w**2 - 300*w - 180 = 0.
-3, -2, -1, 2
Solve 4*b**2 + 96*b + 92 = 0.
-23, -1
Find l such that 3*l**4/5 - 18*l**3/5 + 36*l**2/5 - 24*l/5 = 0.
0, 2
Solve 12*m**3 + 236*m**2 + 560*m + 272 = 0.
-17, -2, -2/3
Factor -2*u**2 + 144*u - 2592.
-2*(u - 36)**2
Suppose -25*f**5 + 795*f**4 - 6499*f**3 + 17949*f**2 - 11440*f + 2100 = 0. What is f?
2/5, 5, 21
Factor 3*s**3/5 + 63*s**2/5 + 216*s/5 - 1296/5.
3*(s - 3)*(s + 12)**2/5
Factor -2*u**3/9 - 4*u**2/9 + 2*u/9 + 4/9.
-2*(u - 1)*(u + 1)*(u + 2)/9
Find y such that -4*y**3 + 264*y**2 - 4080*y - 9248 = 0.
-2, 34
Determine x, given that x**3 - 16*x**2 - 35*x - 18 = 0.
-1, 18
Determine c, given that -4*c**4/5 + 8*c**3/5 + 36*c**2/5 - 8*c/5 - 32/5 = 0.
-2, -1, 1, 4
Solve -5*t**4 - 65*t**3 - 195*t**2 - 135*t = 0.
-9, -3, -1, 0
Let 5*i**2 - 1660*i + 137780 = 0. What is i?
166
Factor -2*v**3 + 48*v**2 - 378*v + 980.
-2*(v - 10)*(v - 7)**2
Find t such that -t**3/5 - 31*t**2/10 - 8*t + 24/5 = 0.
-12, -4, 1/2
Determine w, given that -35*w**5 - 120*w**4 + 5*w**3 + 150*w**2 = 0.
-3, -10/7, 0, 1
Determine r so that -2*r**5/7 - 30*r**4/7 - 4*r**3 = 0.
-14, -1, 0
Factor 3*v**2/5 + 9204*v/5 + 7059468/5.
3*(v + 1534)**2/5
Factor -2*v**2 - 54*v - 144.
-2*(v + 3)*(v + 24)
Factor -c**5/6 - 401*c**4/6 - 13333*c**3/2 + 13467*c**2/2.
-c**2*(c - 1)*(c + 201)**2/6
Find v such that 3*v**2 + 2277*v + 4542 = 0.
-757, -2
Factor 3*u**4/2 + 1083*u**3 + 390963*u**2/2.
3*u**2*(u + 361)**2/2
Factor -4*m**3 - 356*m**2.
-4*m**2*(m + 89)
Determine x, given that -2*x**3/7 - 40*x**2/7 - 138*x/7 + 180/7 = 0.
-15, -6, 1
Suppose g**4 + 2*g**3