 18
Let -5*y**2 + 150*y - 720 = 0. Calculate y.
6, 24
Determine q, given that -q**4/4 + q**3/4 + 16*q**2 - 16*q = 0.
-8, 0, 1, 8
Determine l so that 2*l**2/5 - 1036*l/5 = 0.
0, 518
Factor w**2/3 - 30*w + 675.
(w - 45)**2/3
Determine x, given that -2*x**5 - 486*x**4/7 + 100*x**3 + 1800*x**2/7 - 368*x + 576/7 = 0.
-36, -2, 2/7, 1, 2
Solve a**4/4 + 2*a**3 - 3*a**2/4 - 31*a/2 + 14 = 0 for a.
-7, -4, 1, 2
Solve 21*i**2/2 + 23*i + 4 = 0 for i.
-2, -4/21
Solve 4*z**3/5 + 1548*z**2/5 + 616*z = 0 for z.
-385, -2, 0
Factor 75*l**4 + 435*l**3 + 297*l**2 - 891*l + 324.
3*(l + 3)*(l + 4)*(5*l - 3)**2
Solve -320*u**5/3 + 352*u**4/3 + 236*u**3/3 + 32*u**2/3 = 0 for u.
-1/4, 0, 8/5
What is m in -2*m**3 + 48*m**2 - 42*m - 92 = 0?
-1, 2, 23
Solve -2*m**2 - 36*m + 38 = 0 for m.
-19, 1
Factor -3*z**2 - 39*z + 342.
-3*(z - 6)*(z + 19)
Find q, given that q**2 - 106*q + 309 = 0.
3, 103
Factor 723*d**3 - 1437*d**2 + 705*d + 9.
3*(d - 1)**2*(241*d + 3)
Factor 14*b**2/5 - 116*b/5 + 32/5.
2*(b - 8)*(7*b - 2)/5
Factor n**2/2 + 353*n/2 - 177.
(n - 1)*(n + 354)/2
Solve 45*t**3 + 1845*t**2 - 1880*t + 420 = 0 for t.
-42, 1/3, 2/3
Let 2*y**5/5 - 38*y**4/5 - 8*y**3 = 0. Calculate y.
-1, 0, 20
Factor -r**5 + 8*r**4 - 25*r**3 + 38*r**2 - 28*r + 8.
-(r - 2)**3*(r - 1)**2
Solve -2*s**3/3 + 20*s**2/3 + 22*s/3 = 0.
-1, 0, 11
Let 735*m**2 - 729*m/2 - 3/2 = 0. What is m?
-1/245, 1/2
Determine w, given that 27*w**2/2 + 93*w/2 + 18 = 0.
-3, -4/9
Solve -4*t**4 - 96*t**3 + 4*t**2 + 96*t = 0.
-24, -1, 0, 1
Factor 3*m**4/4 + 3*m**3 + 3*m**2/2 - 3*m - 9/4.
3*(m - 1)*(m + 1)**2*(m + 3)/4
Factor -2*s**4/3 + 30*s**3 - 86*s**2 + 254*s/3 - 28.
-2*(s - 42)*(s - 1)**3/3
Factor -4*j**3 + 140*j**2 + 144*j.
-4*j*(j - 36)*(j + 1)
Suppose -h**3/4 + 1203*h**2 - 1929612*h + 1031699216 = 0. Calculate h.
1604
Factor -4*p**2 - 360*p + 364.
-4*(p - 1)*(p + 91)
Solve -2*h**4/15 + 8*h**3/15 + 4*h**2/3 - 56*h/15 + 2 = 0.
-3, 1, 5
Determine k so that -5*k**2 - 260*k + 265 = 0.
-53, 1
What is c in -4*c**2 - 3560*c + 3564 = 0?
-891, 1
Factor 2*g**3/11 + 12*g**2/11 - 14*g/11.
2*g*(g - 1)*(g + 7)/11
Determine l, given that -9*l**4/5 + 687*l**3/5 - 13224*l**2/5 + 4332*l/5 = 0.
0, 1/3, 38
Determine x, given that -3*x**2/2 - 195*x = 0.
-130, 0
Factor 2*m**5/7 + 6*m**4/7 + 6*m**3/7 + 2*m**2/7.
2*m**2*(m + 1)**3/7
Factor -s**2/2 - 31*s/2.
-s*(s + 31)/2
Factor l**3 + 264*l**2 + 23232*l + 681472.
(l + 88)**3
Determine o so that -148*o**5 - 344*o**4 - 96*o**3 + 296*o**2 + 244*o + 48 = 0.
-1, -12/37, 1
Determine s, given that -81*s**5 - 69*s**4 + 255*s**3 + 369*s**2 + 102*s - 24 = 0.
-1, 4/27, 2
Determine o so that 2*o**4/13 + 206*o**3/13 + 1372*o**2/13 + 208*o + 1536/13 = 0.
-96, -4, -2, -1
Determine a so that -5*a**5/2 + 7*a**4/2 + 4*a**3 - 2*a**2 = 0.
-1, 0, 2/5, 2
Determine q, given that -q**4/2 + 61*q**3/4 - 13*q**2/2 - 123*q/4 + 45/2 = 0.
-3/2, 1, 30
Determine z so that z**3/5 - 12*z**2/5 + 36*z/5 - 32/5 = 0.
2, 8
What is t in -35*t**5/6 - 143*t**4/6 - 185*t**3/6 - 77*t**2/6 + 2*t/3 + 2/3 = 0?
-2, -1, -2/7, 1/5
Factor 10*t**3 - 155*t**2 + 545*t - 550.
5*(t - 11)*(t - 2)*(2*t - 5)
Find q such that -q**2/3 + 5*q/3 - 4/3 = 0.
1, 4
Factor -h**4/2 - 403*h**3/2 - 201*h**2.
-h**2*(h + 1)*(h + 402)/2
Let -18*s**5 + 375*s**4 - 297*s**3 - 60*s**2 = 0. What is s?
-1/6, 0, 1, 20
Solve -2*b**5/3 + 434*b**4/3 + 4*b**3/3 - 868*b**2/3 - 2*b/3 + 434/3 = 0.
-1, 1, 217
Factor -h**2/8 + 3*h/4 + 2.
-(h - 8)*(h + 2)/8
Factor 2*k**4 + 14*k**3 + 28*k**2 + 16*k.
2*k*(k + 1)*(k + 2)*(k + 4)
Find p such that p**2 - 602*p + 1797 = 0.
3, 599
Find o such that 16*o**4 - 28*o**3 + 8*o**2 + 4*o = 0.
-1/4, 0, 1
Let -2*l**5/9 + 352*l**4/9 - 2366*l**3/9 = 0. What is l?
0, 7, 169
Let c**4/2 + 113*c**3/2 + 2897*c**2/2 - 16697*c/2 + 10443 = 0. What is c?
-59, 2, 3
Factor -i**3/3 + 5*i**2 + 292*i/3 + 288.
-(i - 27)*(i + 4)*(i + 8)/3
Determine y so that 27*y**3/2 - 273*y**2 - 447*y/2 + 63 = 0.
-1, 2/9, 21
Factor a**2 + 56*a - 57.
(a - 1)*(a + 57)
Factor 2*t**4/7 + 4*t**3/7 - 82*t**2/7 - 12*t.
2*t*(t - 6)*(t + 1)*(t + 7)/7
Determine u, given that 18*u**4 - 400*u**3 + 466*u**2 - 84*u = 0.
0, 2/9, 1, 21
Solve c**2/2 + 305*c/2 - 307 = 0 for c.
-307, 2
Determine h, given that -12*h**2 - 1000*h/3 + 224/3 = 0.
-28, 2/9
Factor 2*f**5/13 - 4*f**3/13 + 2*f/13.
2*f*(f - 1)**2*(f + 1)**2/13
Suppose -f**4/3 + f**2 - 2*f/3 = 0. Calculate f.
-2, 0, 1
What is i in 28*i**5 - 44*i**4 - 388*i**3 + 908*i**2 - 216*i - 288 = 0?
-4, -3/7, 1, 2, 3
Factor -3*f**3 + 612*f**2 - 41616*f + 943296.
-3*(f - 68)**3
Factor -6*r**2 + 194*r + 132.
-2*(r - 33)*(3*r + 2)
Solve 3*q**4 - 306*q**3 + 8103*q**2 - 15300*q + 7500 = 0 for q.
1, 50
Factor 3*g**4 - 6*g**3 - 63*g**2 - 54*g.
3*g*(g - 6)*(g + 1)*(g + 3)
Let -4*h**5 + 896*h**4 - 50176*h**3 = 0. Calculate h.
0, 112
Suppose q**5 + 17*q**4/4 - 17*q**2/4 - q = 0. What is q?
-4, -1, -1/4, 0, 1
Suppose 6*t**5 - 2*t**4 - 14*t**3 + 10*t**2 = 0. Calculate t.
-5/3, 0, 1
Solve -14*k**3 + 2628*k**2 - 122952*k - 35344 = 0 for k.
-2/7, 94
Factor -4*l**2 - 3475*l + 869.
-(l + 869)*(4*l - 1)
Let -4*r**4 - 46*r**3 + 30*r**2 + 72*r = 0. What is r?
-12, -1, 0, 3/2
Factor -5*u**3 + 15*u**2 + 180*u + 160.
-5*(u - 8)*(u + 1)*(u + 4)
Factor -15*s**2 - 365*s - 120.
-5*(s + 24)*(3*s + 1)
Find n such that 3*n**3 - 3*n**2 - 3*n + 3 = 0.
-1, 1
Factor 2*a**5/7 - 60*a**4/7 + 594*a**3/7 - 1944*a**2/7.
2*a**2*(a - 12)*(a - 9)**2/7
Determine i, given that 2*i**4/23 - 2*i**3/23 - 14*i**2/23 + 26*i/23 - 12/23 = 0.
-3, 1, 2
Suppose -2*u**5/5 + 34*u**4/5 - 176*u**3/5 + 80*u**2 - 416*u/5 + 32 = 0. What is u?
1, 2, 10
Solve 15*r**5 + 85*r**4 - 65*r**3 - 205*r**2 + 50*r + 120 = 0.
-6, -1, 1, 4/3
Let -y**4/5 + 138*y**3/5 - 673*y**2/5 + 1068*y/5 - 532/5 = 0. Calculate y.
1, 2, 133
Determine f so that -3*f**4 + 216*f**3 - 795*f**2 - 1458*f + 2040 = 0.
-2, 1, 5, 68
What is f in 29*f**2/6 - 5*f/6 = 0?
0, 5/29
Factor -5*d**2 + 2140*d.
-5*d*(d - 428)
Find o such that 4*o**4 - 72*o**3 + 468*o**2 - 1296*o + 1296 = 0.
3, 6
Factor 4*o**3 + 56*o**2 - 16*o - 224.
4*(o - 2)*(o + 2)*(o + 14)
Suppose -4*q**4/3 - 28*q**3/3 - 16*q**2/3 + 16*q = 0. What is q?
-6, -2, 0, 1
Let -2*a**2/9 - 38*a/9 - 4 = 0. What is a?
-18, -1
Factor 4*g**4 - 16*g**3 - 24*g**2 + 16*g + 20.
4*(g - 5)*(g - 1)*(g + 1)**2
Factor y**3/3 + 17*y**2 + 61*y - 235/3.
(y - 1)*(y + 5)*(y + 47)/3
Factor -2*z**2 + 124*z - 770.
-2*(z - 55)*(z - 7)
Suppose -2*b**2 - 374*b + 1140 = 0. What is b?
-190, 3
Factor -2*m**2/5 - 34*m/5 + 36/5.
-2*(m - 1)*(m + 18)/5
Factor -2*i**5/5 - 6*i**4/5 + 8*i**3/5.
-2*i**3*(i - 1)*(i + 4)/5
Factor 4*a**5 - 300*a**4 + 5772*a**3 - 5476*a**2.
4*a**2*(a - 37)**2*(a - 1)
Let 8*u**5/5 - 158*u**4/5 + 584*u**3/5 + 1916*u**2/5 + 1408*u/5 + 242/5 = 0. Calculate u.
-1, -1/4, 11
Factor -s**2/4 - 401*s - 160801.
-(s + 802)**2/4
What is u in 4*u**5 + 148*u**4 + 284*u**3 + 140*u**2 = 0?
-35, -1, 0
Solve -3*r**4 + 48*r**3 - 192*r**2 = 0 for r.
0, 8
Determine s, given that 100*s**4 + 100*s**3 - 76*s**2 - 52*s + 24 = 0.
-1, 2/5, 3/5
Let -5*w**2 - 110*w - 605 = 0. What is w?
-11
What is j in 4*j**4/5 + 18*j**3/5 - 28*j**2/5 - 222*j/5 - 252/5 = 0?
-3, -2, 7/2
Suppose -2*l**4/13 + 20*l**3/13 - 48*l**2/13 + 44*l/13 - 14/13 = 0. What is l?
1, 7
Factor -17*x**2/6 + 6475*x/6 + 127.
-(x - 381)*(17*x + 2)/6
Suppose -u**5 - 5*u**4 + 3*u**3 + 41*u**2 + 58*u + 24 = 0. Calculate u.
-4, -2, -1, 3
Find g such that -20*g**2 - 55*g + 15 = 0.
-3, 1/4
Let -2*g**4 + 24*g**3 - 108*g**2 + 216*g - 162 = 0. Calculate g.
3
Determine g so that 2*g**3 - 84*g**2 + 160*g = 0.
0, 2, 40
Find x such that 4*x**2/3 + 8*x/3 - 340 = 0.
-17, 15
Factor 3*q**3 + 84*q**2 + 708*q + 1680.
3*(q + 4)*(q + 10)*(q + 14)
Factor d**4/9 - d**3/9 - d**2/3 + d/9 + 2/9.
(d - 2)*(d - 1)*(d + 1)**2/9
Determine c, given that -4*c**3 - 760*c**2 - 36848*c - 70688 = 0.
-94, -2
Solve -15*a**3 + 460*a**2 + 1145*a + 330 = 0.
-2, -1/3, 33
Suppose 4*t**2 + 620*t + 616 = 0. Calculate t.
-154, -1
Solve -v**4/3 + 29*v**3/3 - 89*v**2 + 671*v/3 + 968/3 = 0.
-1, 8, 11
Suppose 2*y**3 - 14*y**2 + 14*y + 30 = 0. Calculate y.
-1, 3, 5
What is d in -5*d**3 + 135*d**2 - 130*d = 0?
0, 1, 26
Factor -2*w**3 + 36*w**2 - 120*w + 112.
-2*(w - 14)*(w - 2)**2
Determine f so that 16*f**4 + 44*f**3 - 12*f**2 - 64*f + 16 = 0.
-2, 1/4, 1
Solve 5*n**3 + 5*n**2 - 20*n - 20 = 0 for n.
-2, -1, 2
Factor u**2/3