0
Let -4*k**3 - 1252*k**2 - 99820*k - 288300 = 0. Calculate k.
-155, -3
Factor 4*u**4 - 352*u**3 + 1676*u**2 - 1328*u.
4*u*(u - 83)*(u - 4)*(u - 1)
Factor 2*y**3/5 + 324*y**2/5 + 17496*y/5 + 314928/5.
2*(y + 54)**3/5
Determine a, given that 49*a**4/2 + 21*a**3 - 20*a**2 - 21*a - 9/2 = 0.
-1, -3/7, 1
Suppose 10*r**5 - 1215*r**4 + 2990*r**3 - 1780*r**2 - 600*r + 595 = 0. Calculate r.
-1/2, 1, 119
Find h, given that 8*h**4/11 + 450*h**3/11 - 5736*h**2/11 - 445222*h/11 - 110940/11 = 0.
-43, -1/4, 30
Solve 256*m**5 + 34528*m**4 + 1144609*m**3 - 1327225*m**2 + 152456*m - 4624 = 0.
-68, 1/16, 1
Factor k**3/2 - 37*k**2/2 + 161*k + 180.
(k - 20)*(k - 18)*(k + 1)/2
Factor -4*g**4 + 20*g**3 - 32*g**2 + 16*g.
-4*g*(g - 2)**2*(g - 1)
Determine k so that 21*k**2 - 12*k - 9 = 0.
-3/7, 1
Solve -2*o**5 - 2*o**4 + 24*o**3 = 0 for o.
-4, 0, 3
Factor 3*y**4/8 + 17*y**3/8 - 5*y**2/4 - 3*y.
y*(y + 1)*(y + 6)*(3*y - 4)/8
Let -5*z**2 - 40*z + 45 = 0. What is z?
-9, 1
Determine k, given that k**3 - 4*k**2 - 7*k + 10 = 0.
-2, 1, 5
Factor -2*c**5 + 22*c**4 - 20*c**3.
-2*c**3*(c - 10)*(c - 1)
Suppose 3*l**2/5 - 141*l/5 - 294/5 = 0. What is l?
-2, 49
Factor 4*j**2/5 - 236*j/5 - 48.
4*(j - 60)*(j + 1)/5
Solve -b**3 - 31*b**2 + 65*b - 33 = 0.
-33, 1
Let 2*q**2/9 + 44*q/9 + 80/9 = 0. What is q?
-20, -2
Factor p**2/4 - 427*p + 182329.
(p - 854)**2/4
Find p, given that -4*p**4 - 23*p**3 + 6*p**2 = 0.
-6, 0, 1/4
Find p such that -p**5/2 - 9*p**4/2 - 11*p**3 - 3*p**2 + 23*p/2 + 15/2 = 0.
-5, -3, -1, 1
Factor -3*z**3 + 249*z**2 - 5160*z.
-3*z*(z - 43)*(z - 40)
Find j such that 2*j**3 + 420*j**2 - 848*j = 0.
-212, 0, 2
Solve -2*n**5/3 - 20*n**4 - 362*n**3/3 - 64*n**2 + 616*n/3 = 0 for n.
-22, -7, -2, 0, 1
Let 7*v**4/10 + 23*v**3/10 + 3*v**2/5 - 14*v/5 - 4/5 = 0. What is v?
-2, -2/7, 1
Suppose 4*o**2 - 760*o + 756 = 0. Calculate o.
1, 189
Factor o**3/2 + o**2.
o**2*(o + 2)/2
Find d such that 3*d**2/4 - 9*d - 21 = 0.
-2, 14
Determine p so that -2*p**2/7 - 216*p/7 - 5832/7 = 0.
-54
Determine g so that g**3/8 + 7*g**2/8 + 2*g + 3/2 = 0.
-3, -2
What is k in 250*k**5/3 - 200*k**4/3 - 160*k**3 - 224*k**2/3 - 32*k/3 = 0?
-2/5, 0, 2
Factor v**5/3 - 23*v**4/3 + 14*v**3.
v**3*(v - 21)*(v - 2)/3
Factor 3*q**4 - 182*q**3 + 296*q**2 - 58*q - 59.
(q - 59)*(q - 1)**2*(3*q + 1)
Solve 3*u**4/2 - 48*u**3 + 927*u**2/2 - 897*u - 4056 = 0 for u.
-2, 8, 13
Suppose 2*k**4 + 16*k**3 + 24*k**2 = 0. What is k?
-6, -2, 0
Let v**5 - v**4 - 13*v**3 + 13*v**2 + 36*v - 36 = 0. What is v?
-3, -2, 1, 2, 3
Suppose 2*a**2/9 + 1832*a/9 + 419528/9 = 0. Calculate a.
-458
Determine w so that 15*w**5/2 + 175*w**4/3 + 365*w**3/3 + 90*w**2 + 65*w/6 - 25/3 = 0.
-5, -1, 2/9
Find y such that y**2/2 - 237*y/2 - 119 = 0.
-1, 238
Factor 3*o**3/2 - 87*o**2/2 + 741*o/2 - 1521/2.
3*(o - 13)**2*(o - 3)/2
Factor -2*v**2/7 - 1448*v/7.
-2*v*(v + 724)/7
Let -2*k**3/3 + 70*k**2/3 = 0. What is k?
0, 35
Factor -5*r**3 + 160*r**2 - 305*r + 150.
-5*(r - 30)*(r - 1)**2
Factor -5*w**2/6 + 4240*w - 5393280.
-5*(w - 2544)**2/6
Factor 2*v**2/5 + 204*v/5 - 206/5.
2*(v - 1)*(v + 103)/5
Factor -21*y**3 + 132*y**2 - 141*y + 30.
-3*(y - 5)*(y - 1)*(7*y - 2)
Factor -2*n**2 + 1004*n - 126002.
-2*(n - 251)**2
Let -m**4 + m**3 + m**2 - m = 0. Calculate m.
-1, 0, 1
Find k, given that -k**2 - 41*k - 114 = 0.
-38, -3
Solve -2*h**3 - 118*h**2/3 - 364*h/3 - 64 = 0 for h.
-16, -3, -2/3
Solve 2*r**2/11 - 868*r/11 = 0.
0, 434
Determine b so that 3*b**5/4 + 12*b**4 + 123*b**3/4 - 321*b**2/2 - 180*b = 0.
-10, -8, -1, 0, 3
Solve -h**3/4 - 6*h**2 - 113*h/4 - 45/2 = 0 for h.
-18, -5, -1
Factor -2*m**4/9 + 16*m**3/3 - 160*m**2/9.
-2*m**2*(m - 20)*(m - 4)/9
Factor 2*w**2/3 - 3376*w + 4274016.
2*(w - 2532)**2/3
Factor -2*u**4/11 - 4*u**3/11.
-2*u**3*(u + 2)/11
Factor -36*l**3 - 3644*l**2 - 4408*l - 800.
-4*(l + 1)*(l + 100)*(9*l + 2)
What is m in -27*m**3 + 3*m**2 + 65*m/3 - 25/3 = 0?
-1, 5/9
Factor 4*j**5 + 2652*j**4 + 588728*j**3 + 44339680*j**2 + 128937600*j + 85184000.
4*(j + 1)*(j + 2)*(j + 220)**3
Solve 9*y**4 + 1032*y**3 - 4602*y**2 + 4632*y - 1071 = 0.
-119, 1/3, 1, 3
Suppose 5*i**2 + 96440*i + 465033680 = 0. Calculate i.
-9644
Find a such that 2*a**4 + 44*a**3/5 + 26*a**2/5 - 56*a/5 - 24/5 = 0.
-3, -2, -2/5, 1
Solve -6*t**5 + 9*t**4 + 12*t**3 - 18*t**2 - 6*t + 9 = 0 for t.
-1, 1, 3/2
Determine v, given that 4*v**2 - 28*v - 32 = 0.
-1, 8
Factor -4*d**3 - 4400*d**2 - 1210000*d.
-4*d*(d + 550)**2
What is v in 3*v**2/4 + 21*v/2 + 18 = 0?
-12, -2
Factor -58*n**2 + 530*n - 72.
-2*(n - 9)*(29*n - 4)
Factor 2*o**4/7 + 20*o**3/7 + 8*o**2 + 48*o/7.
2*o*(o + 2)**2*(o + 6)/7
Factor 3*m**2 + 2091*m + 2088.
3*(m + 1)*(m + 696)
Factor -2*k**2/3 + 88*k/3 - 86/3.
-2*(k - 43)*(k - 1)/3
Find i, given that 42*i**4 - 940*i**3 + 4754*i**2 - 5144*i - 1880 = 0.
-2/7, 2, 5, 47/3
Let 4*u**2 - 1948*u + 1944 = 0. Calculate u.
1, 486
Factor -4*x**2 - 15*x - 14.
-(x + 2)*(4*x + 7)
Let -56*w**4 - 268*w**3 - 156*w**2 + 88*w + 32 = 0. What is w?
-4, -1, -2/7, 1/2
Factor -o**5/2 + 2*o**4 - o**3/2 - 5*o**2 + 2*o + 4.
-(o - 2)**3*(o + 1)**2/2
Determine s so that -2*s**3 + 26*s**2 - 94*s + 70 = 0.
1, 5, 7
Determine a, given that -5*a**4 - 45*a**3 + 450*a**2 = 0.
-15, 0, 6
Factor 2*c**2/3 - 724*c/3 + 65522/3.
2*(c - 181)**2/3
Determine s, given that -25*s**4 - 660*s**3 - 4386*s**2 - 1676*s - 165 = 0.
-15, -11, -1/5
Factor 3*a**4/8 - 33*a**3/8 + 15*a**2/4.
3*a**2*(a - 10)*(a - 1)/8
Let 2*d**3/7 + 86*d**2/7 + 416*d/7 - 12168/7 = 0. What is d?
-26, 9
What is n in -2*n**4 - 146*n**3 + 3060*n**2 - 19224*n + 39312 = 0?
-91, 6
Factor -4*k**2 - 36*k + 208.
-4*(k - 4)*(k + 13)
Find h, given that 2*h**4/7 + 54*h**3/7 + 270*h**2/7 + 54*h = 0.
-21, -3, 0
Solve q**3 - 16*q**2/7 + 11*q/7 - 2/7 = 0 for q.
2/7, 1
Factor -2*c**3/9 - 100*c**2/3 + 202*c/3 - 304/9.
-2*(c - 1)**2*(c + 152)/9
Find i, given that -4*i**3 - 8*i**2 + 20*i + 24 = 0.
-3, -1, 2
Find q such that 5*q**5 + 345*q**4 + 5415*q**3 - 18365*q**2 + 19080*q - 6480 = 0.
-36, 1
Factor -2*s**2 - 84*s + 176.
-2*(s - 2)*(s + 44)
Factor 9*m**2/5 - 16*m/5 - 4/5.
(m - 2)*(9*m + 2)/5
Factor 2*i**3/7 - 1828*i**2/7 + 417698*i/7.
2*i*(i - 457)**2/7
Find y, given that -4*y**3/5 - 8*y**2/5 + 28*y/5 - 16/5 = 0.
-4, 1
Let 2*w**2/9 + 158*w/3 = 0. What is w?
-237, 0
Factor 3*l**2 + 147*l - 150.
3*(l - 1)*(l + 50)
Suppose 3*q**3/7 - 128*q**2/7 + 29*q + 82/7 = 0. What is q?
-1/3, 2, 41
Determine j, given that 2*j**3/15 - 8*j**2/5 + 94*j/15 - 8 = 0.
3, 4, 5
Suppose -9*h**4/5 - 213*h**3/5 - 1224*h**2/5 - 1872*h/5 + 768/5 = 0. Calculate h.
-16, -4, 1/3
Let 3*i**5/2 + 18*i**4 - 42*i**3 = 0. What is i?
-14, 0, 2
Determine z, given that 7*z**5/2 - 51*z**4/2 + 77*z**3/2 + 171*z**2/2 - 216*z + 54 = 0.
-2, 2/7, 3
Let -2*k**2 + 140*k + 1782 = 0. What is k?
-11, 81
Factor 4*t**3/7 - 8*t**2/7 - 4*t/7 + 8/7.
4*(t - 2)*(t - 1)*(t + 1)/7
Factor 6*i**2 - 44*i + 242/3.
2*(3*i - 11)**2/3
Solve 45*o**5 - 170*o**4 - 625*o**3 + 50*o**2 + 580*o + 120 = 0.
-2, -1, -2/9, 1, 6
Determine o, given that 9*o**2 + 294*o - 303 = 0.
-101/3, 1
Factor n**2/6 + 5*n/6 + 2/3.
(n + 1)*(n + 4)/6
Factor -4477456*w**4 - 2725408*w**3 - 622104*w**2 - 63112*w - 2401.
-(46*w + 7)**4
Factor 2*b**2/11 - 82*b/11.
2*b*(b - 41)/11
Factor q**2/2 + 17*q - 735/2.
(q - 15)*(q + 49)/2
Suppose -3*a**5 + 18*a**4 - 12*a**3 - 54*a**2 + 15*a + 36 = 0. What is a?
-1, 1, 3, 4
Suppose -5*s**5 + 155*s**4 - 1270*s**3 + 970*s**2 + 1275*s - 1125 = 0. What is s?
-1, 1, 15
Suppose -5*t**5/8 + 261*t**4/8 - 297*t**3/8 - 461*t**2/8 + 51*t/4 = 0. Calculate t.
-1, 0, 1/5, 2, 51
Factor -5*i**2 + 980*i - 48020.
-5*(i - 98)**2
Factor -5*m**2 + 200*m - 2000.
-5*(m - 20)**2
Let -2*y**5 - 54*y**4 - 450*y**3 - 946*y**2 + 1452*y = 0. Calculate y.
-11, -6, 0, 1
Factor 14*t**3/11 + 46*t**2/11 + 12*t/11.
2*t*(t + 3)*(7*t + 2)/11
Factor -j**2/5 + 6*j - 221/5.
-(j - 17)*(j - 13)/5
Factor 7*z**3/3 + 2*z**2 - 37*z/3 + 8.
(z - 1)*(z + 3)*(7*z - 8)/3
Determine h so that -2*h**5 + 14*h**4 - 36*h**3 + 44*h**2 - 26*h + 6 = 0.
1, 3
Find x such that x**3/5 - 17*x**2/5 - 129*x/5 - 207/5 = 0.
-3, 23
Factor -5*b**3 + 215*b**2 - 2415*b + 2205.
-5*(b - 21)**2*(b - 1)
Solve 5*y**3 + 27065*y**2 + 36639240*y + 36612180 = 0.
-2706, -1
Solve 12*t**3 - 63*t**2 + 96*t - 45 = 0 for t.
1, 5/4, 3
Factor -2*o**4/7 - 32*o**3/7 + 592*o**2/7 + 5760*o/7 - 64800/7.
-2*(o - 10)**2*(o +