(3*d + 1)**2
Determine t so that -3*t**2 + 99*t - 186 = 0.
2, 31
Solve 36*v**4 + 64*v**3 - 340*v**2 - 576*v + 144 = 0.
-3, -2, 2/9, 3
Let -3*v**4/2 - 12*v**3 - 15*v**2/2 + 57*v - 36 = 0. What is v?
-6, -4, 1
Suppose -2*r**4 - 82*r**3 + 86*r**2 + 82*r - 84 = 0. What is r?
-42, -1, 1
Factor -2*h**3/5 - 4*h**2/5 + 16*h - 128/5.
-2*(h - 4)*(h - 2)*(h + 8)/5
Factor -2*l**2/7 + 29856*l/7 - 111422592/7.
-2*(l - 7464)**2/7
Solve 4*k**5 - 36*k**4 + 56*k**3 + 224*k**2 - 384*k - 512 = 0 for k.
-2, -1, 4
Determine x so that 9*x**4 - 48*x**3 + 51*x**2 - 12*x = 0.
0, 1/3, 1, 4
What is z in -z**2/7 - 36*z/7 - 32 = 0?
-28, -8
Determine b so that 2*b**5/5 + 2*b**4 + 4*b**3/5 - 16*b**2/5 = 0.
-4, -2, 0, 1
Determine g so that -4*g**3 + 2956*g**2 - 550528*g + 1625088 = 0.
3, 368
Determine m so that 8*m**5/9 + 26*m**4 + 836*m**3/3 + 11296*m**2/9 + 4864*m/3 - 2048 = 0.
-8, -6, 3/4
Find o, given that 12*o**2 - 1424*o - 1920 = 0.
-4/3, 120
Suppose -3*q**5/2 + 8*q**4 + 3*q**3/2 - 18*q**2 - 10*q = 0. What is q?
-1, -2/3, 0, 2, 5
Find i such that 4*i**5 - 80*i**4 - 176*i**3 = 0.
-2, 0, 22
Solve 4*m**5 + 5*m**4 - 7*m**3 - 2*m**2 = 0 for m.
-2, -1/4, 0, 1
Solve -f**2/3 - 11*f - 32/3 = 0.
-32, -1
Factor 25*m**3 - 80*m**2 - 380*m - 240.
5*(m - 6)*(m + 2)*(5*m + 4)
Let 25*x**3/3 - 640*x**2/3 - 935*x/3 - 90 = 0. What is x?
-1, -2/5, 27
Factor -2*y**3/7 + 12*y**2.
-2*y**2*(y - 42)/7
Determine n, given that -3*n**3 + 24*n**2 + 3*n - 24 = 0.
-1, 1, 8
Factor 2*i**4/17 - 128*i**3/17 + 2378*i**2/17 - 10092*i/17.
2*i*(i - 29)**2*(i - 6)/17
Factor -2*n**3/3 + 112*n**2/3 - 1310*n/3 + 400.
-2*(n - 40)*(n - 15)*(n - 1)/3
Factor 16*h**3 + 818*h**2 + 900*h.
2*h*(h + 50)*(8*h + 9)
Factor -2*a**2/13 + 50/13.
-2*(a - 5)*(a + 5)/13
Find w such that w**4/3 + 8*w**3/3 + 8*w**2 + 32*w/3 + 16/3 = 0.
-2
Determine w, given that -3*w**2 - 162*w + 885 = 0.
-59, 5
Solve 2*m**2 + 202*m + 200 = 0 for m.
-100, -1
Let -3*y**5 + 36*y**4 - 78*y**3 - 36*y**2 + 81*y = 0. Calculate y.
-1, 0, 1, 3, 9
Factor 2*w**4/5 - 2*w**3 + 12*w**2/5 + 8*w/5 - 16/5.
2*(w - 2)**3*(w + 1)/5
What is n in 3*n**2 + 39*n + 36 = 0?
-12, -1
Factor -2*m**2/9 + 194*m/9.
-2*m*(m - 97)/9
Find v such that v**3 + 61*v**2 + 286*v + 336 = 0.
-56, -3, -2
Let 125*s**4 + 34900*s**3 - 27980*s**2 + 5600*s = 0. What is s?
-280, 0, 2/5
Determine w, given that -2*w**2/7 - 74*w/7 + 328/7 = 0.
-41, 4
Suppose 4*i**5 + 8*i**4 - 20*i**3 - 40*i**2 + 16*i + 32 = 0. What is i?
-2, -1, 1, 2
Factor -5*r**5 + 60*r**4 - 105*r**3 + 50*r**2.
-5*r**2*(r - 10)*(r - 1)**2
Factor -4*u**2 + 1792*u - 1788.
-4*(u - 447)*(u - 1)
Suppose 2*y**4/11 - 800*y**3/11 + 120000*y**2/11 - 8000000*y/11 + 200000000/11 = 0. Calculate y.
100
Factor 5*y**3 + 140*y**2 + 1195*y + 2860.
5*(y + 4)*(y + 11)*(y + 13)
Factor -2*w**2/17 - 2*w + 76/17.
-2*(w - 2)*(w + 19)/17
Determine w so that 2*w**3/7 - 150*w**2/7 + 42*w - 146/7 = 0.
1, 73
Find d, given that 2*d**4 + 469*d**3 + 233*d**2 - 234*d = 0.
-234, -1, 0, 1/2
Let -2*x**4/13 - 108*x**3/13 - 46*x**2 - 1068*x/13 - 576/13 = 0. Calculate x.
-48, -3, -2, -1
Factor 31*w**3/4 + 15*w**2 + 27*w/4 - 1/2.
(w + 1)**2*(31*w - 2)/4
Factor 4*i**4 - 12*i**3 - 12*i**2 + 28*i + 24.
4*(i - 3)*(i - 2)*(i + 1)**2
Factor -5*f**3 - 5*f**2 + 410*f - 400.
-5*(f - 8)*(f - 1)*(f + 10)
Factor -5*t**2 - 80*t - 140.
-5*(t + 2)*(t + 14)
Find n such that -3*n**2 + 444*n - 16428 = 0.
74
Suppose -12*h**5 - 9*h**4 + 147*h**3 - 84*h**2 - 180*h + 48 = 0. What is h?
-4, -1, 1/4, 2
Find c, given that 22*c**5/13 + 826*c**4/13 + 444*c**3/13 = 0.
-37, -6/11, 0
Let -i**3/7 - 15*i**2/7 + i/7 + 15/7 = 0. Calculate i.
-15, -1, 1
Factor 2*w**5/5 - 12*w**4/5 + 2*w**3.
2*w**3*(w - 5)*(w - 1)/5
Suppose -c**2/2 + 43*c - 1849/2 = 0. What is c?
43
Let 2*o**3/7 + 2754*o**2/7 + 1264086*o/7 + 193405158/7 = 0. What is o?
-459
Factor -18*f**5 + 516*f**4 - 4688*f**3 + 11040*f**2 + 21600*f + 8000.
-2*(f - 10)**3*(3*f + 2)**2
What is x in -4*x**3/5 + 312*x**2/5 - 6084*x/5 = 0?
0, 39
Determine z, given that 75*z**3/4 + 1890*z**2 + 1503*z + 300 = 0.
-100, -2/5
Factor 28*h**2 - 3828*h - 1096.
4*(h - 137)*(7*h + 2)
Factor 5*y**3/2 - 465*y**2 + 51045*y/2 - 344450.
5*(y - 83)**2*(y - 20)/2
Let 20*w**5 + 335*w**4 + 1155*w**3 - 1910*w**2 + 400*w = 0. What is w?
-10, -8, 0, 1/4, 1
Solve 6*a**2 + 10928*a - 7288 = 0.
-1822, 2/3
Let -k**3/8 + 89*k**2/8 + 181*k/8 + 91/8 = 0. What is k?
-1, 91
Factor -2*i**4 - 46*i**3 + 6*i**2 + 134*i - 92.
-2*(i - 1)**2*(i + 2)*(i + 23)
Find t such that 4*t**2/3 + 121*t/2 + 45/2 = 0.
-45, -3/8
Suppose -10*n**5/3 + 256*n**4/3 - 136*n**3/3 - 356*n**2/3 + 146*n/3 + 100/3 = 0. Calculate n.
-1, -2/5, 1, 25
Factor 3*u**2/2 + 522*u - 1050.
3*(u - 2)*(u + 350)/2
Factor -c**4 + c**3 + 36*c**2 - 36*c.
-c*(c - 6)*(c - 1)*(c + 6)
Solve 100*u**5/3 - 50*u**4 - 116*u**3/3 + 8*u**2 + 16*u/3 = 0 for u.
-1/2, -2/5, 0, 2/5, 2
Find g such that 3*g**4 - 15*g**3 - 6*g**2 + 72*g = 0.
-2, 0, 3, 4
Determine y, given that 3*y**5 + 9*y**4 - 48*y**3 - 60*y**2 + 288*y - 192 = 0.
-4, 1, 2
Factor 15*p**2 - 29585*p - 19730.
5*(p - 1973)*(3*p + 2)
Factor x**3/4 - 25*x**2 + 197*x/4 - 49/2.
(x - 98)*(x - 1)**2/4
Factor -2*c**4/7 + 30*c**3/7 - 144*c**2/7 + 32*c.
-2*c*(c - 7)*(c - 4)**2/7
Find h, given that 4*h**4 - 24*h**3 - 36*h**2 + 56*h = 0.
-2, 0, 1, 7
Factor 6*a**2/7 - 46*a - 108/7.
2*(a - 54)*(3*a + 1)/7
Find b, given that -4*b**5 + 56*b**4 + 264*b**3 + 416*b**2 + 284*b + 72 = 0.
-1, 18
Find r such that -2*r**2 + 664*r - 662 = 0.
1, 331
What is v in -2*v**5 - 10*v**4 + 194*v**3 - 182*v**2 = 0?
-13, 0, 1, 7
Solve -4*a**5 - 24*a**4 + 4*a**3 + 24*a**2 = 0.
-6, -1, 0, 1
Determine l so that -2*l**2/17 - 12*l/17 - 10/17 = 0.
-5, -1
Factor t**3 - 70*t**2 - 71*t.
t*(t - 71)*(t + 1)
Solve -15*i**4 - 1445*i**3 + 2445*i**2 - 495*i - 490 = 0.
-98, -1/3, 1
Factor -3*i**4 + 612*i**3 - 3600*i**2 + 7152*i - 4752.
-3*(i - 198)*(i - 2)**3
Let -3*a**3 - 255*a**2 + 264*a + 516 = 0. What is a?
-86, -1, 2
Let -5*g**3 - 20*g**2 + 185*g + 200 = 0. Calculate g.
-8, -1, 5
Determine w so that -2*w**5/5 - 22*w**4/5 + 6*w**3 + 62*w**2/5 - 116*w/5 + 48/5 = 0.
-12, -2, 1
Solve 12*q**5 - 52*q**4 + 20*q**3 + 100*q**2 - 32*q - 48 = 0 for q.
-1, -2/3, 1, 2, 3
Determine x, given that x**5/4 + 29*x**4/12 - 3*x**3/4 - 87*x**2/4 - 27*x/2 = 0.
-9, -3, -2/3, 0, 3
Determine h so that 281216*h**3/7 - 16224*h**2/7 + 312*h/7 - 2/7 = 0.
1/52
Solve -2*r**3/7 - 492*r**2/7 + 2*r/7 + 492/7 = 0.
-246, -1, 1
Solve f**3/6 - 61*f**2/6 - 32*f/3 + 62/3 = 0.
-2, 1, 62
Factor 4*y**3/7 + 228*y**2/7 - 712*y/7 + 480/7.
4*(y - 2)*(y - 1)*(y + 60)/7
Factor 2*l**3/13 - 28*l**2/13 + 86*l/13 - 60/13.
2*(l - 10)*(l - 3)*(l - 1)/13
Factor -4*l**5 + 40*l**4 + 200*l**3 + 320*l**2 + 220*l + 56.
-4*(l - 14)*(l + 1)**4
Solve y**4/5 + 6*y**3 + 276*y**2/5 + 754*y/5 + 507/5 = 0 for y.
-13, -3, -1
Let -2*l**3/9 - 8*l**2/3 + 8*l/9 + 32/3 = 0. What is l?
-12, -2, 2
What is a in 3*a**3/2 - 60*a**2 - 249*a/2 - 63 = 0?
-1, 42
Solve -v**2 + 2536*v - 1607824 = 0 for v.
1268
Determine x, given that -4*x**5 - 12*x**4 - 4*x**3 + 12*x**2 + 8*x = 0.
-2, -1, 0, 1
Suppose -q**2/5 + 11*q/5 - 2 = 0. What is q?
1, 10
Factor -4*r**2 + 120*r + 124.
-4*(r - 31)*(r + 1)
Factor 2*c**5 - 141*c**4 + 609*c**3 - 1001*c**2 + 729*c - 198.
(c - 66)*(c - 1)**3*(2*c - 3)
What is i in 2*i**3/13 - 778*i**2/13 = 0?
0, 389
Determine h, given that h**3/4 - 599*h**2/4 + 22350*h + 22500 = 0.
-1, 300
Factor g**2/4 + 101*g/2 + 10201/4.
(g + 101)**2/4
Find h such that -2*h**5/3 - 35*h**4/3 + 61*h**3/3 + 73*h**2/3 - 59*h/3 - 38/3 = 0.
-19, -1, -1/2, 1, 2
Factor w**5/2 - 13*w**4/2 + 23*w**3 + 5*w**2 - 175*w/2 - 125/2.
(w - 5)**3*(w + 1)**2/2
Factor 32*f**3/7 - 10*f**2 + 44*f/7 - 6/7.
2*(f - 1)**2*(16*f - 3)/7
Let -2*m**4 - 20*m**3 - 66*m**2 - 80*m - 32 = 0. Calculate m.
-4, -1
Factor -2*a**5/5 - 18*a**4/5 - 36*a**3/5.
-2*a**3*(a + 3)*(a + 6)/5
Factor 4*c**3/5 + 1932*c**2/5 + 311052*c/5 + 16693124/5.
4*(c + 161)**3/5
Factor 15*u**3/7 - 58*u**2/7 + 37*u/7 + 6/7.
(u - 3)*(u - 1)*(15*u + 2)/7
Determine p, given that 2*p**2/13 - 40*p/13 - 378/13 = 0.
-7, 27
Suppose -14*l**5 + 150*l**4 - 68*l**3 - 1656*l**2 - 1808*l - 384 = 0. Calculate l.
-2, -1, -2/7, 6, 8
Factor -35*j**2/2 + 1005*j/2 + 145.
-5*(j - 29)*(7*j + 2)/2
Suppose 36*d**3 - 492*d**2 - 1364*d + 26908 = 0. Calculate d.
-7, 31/3
Factor 2*l**2/7 + 1672*l + 2446136.
