 32*n/5 - 6 = 0.
-15, -1
Factor -2*c**2 + 4*c + 6.
-2*(c - 3)*(c + 1)
Factor -4*f**4 + 480*f**3 + 4*f**2 - 480*f.
-4*f*(f - 120)*(f - 1)*(f + 1)
Solve 507*a**5 - 13533*a**4 + 94665*a**3 - 55587*a**2 - 24024*a - 2028 = 0 for a.
-2/13, 1, 13
Factor 2*h**4/9 + 2*h**3/9 - 4*h**2/9.
2*h**2*(h - 1)*(h + 2)/9
Determine j, given that -j**3/4 + 135*j**2/4 + 139*j = 0.
-4, 0, 139
Solve -z**4 + 19*z**3 - 34*z**2 = 0.
0, 2, 17
Factor 2*y**2 + 204*y + 5202.
2*(y + 51)**2
Determine r, given that 3*r**2 - 27*r - 108 = 0.
-3, 12
Solve 3*p**3 + 231*p**2 - 714*p + 480 = 0 for p.
-80, 1, 2
Let 5*p**3 + 360*p**2 + 1695*p + 1340 = 0. Calculate p.
-67, -4, -1
Determine d so that -40*d**2/3 - 1805*d/3 - 75 = 0.
-45, -1/8
Factor -z**3/3 + 10*z**2/3 + 13*z/3 - 22/3.
-(z - 11)*(z - 1)*(z + 2)/3
What is c in -3*c**2 + 2076*c - 359148 = 0?
346
Determine w, given that -w**5/4 - 3*w**4/2 - w**3 + 3*w**2/2 + 5*w/4 = 0.
-5, -1, 0, 1
What is r in r**4/4 - 231*r**3 + 160083*r**2/2 - 12326391*r + 2847396321/4 = 0?
231
Factor a**3 + 60*a**2 + 768*a - 4096.
(a - 4)*(a + 32)**2
Factor -2*r**4/9 + 10*r**3/9 + 2*r**2/9 - 10*r/9.
-2*r*(r - 5)*(r - 1)*(r + 1)/9
Factor i**4/6 - 17*i**3/6 - i**2/6 + 17*i/6.
i*(i - 17)*(i - 1)*(i + 1)/6
Find j, given that -9*j**2 + 78*j = 0.
0, 26/3
Factor 15*g**4/4 - 27*g**3/2 + 18*g**2 - 21*g/2 + 9/4.
3*(g - 1)**3*(5*g - 3)/4
Determine y so that -2*y**3 - 12*y**2 - 16*y = 0.
-4, -2, 0
What is m in -55*m**2 - 95*m + 30 = 0?
-2, 3/11
Factor -3*s**3 - 27*s**2 - 24*s.
-3*s*(s + 1)*(s + 8)
Factor 2*r**3/3 + 2888*r**2/3 + 346558*r - 696972.
2*(r - 2)*(r + 723)**2/3
Factor 4*b**2/7 - 144/7.
4*(b - 6)*(b + 6)/7
Factor 4*b**4 - 4*b**3 - 12*b**2 + 4*b + 8.
4*(b - 2)*(b - 1)*(b + 1)**2
Find m such that 5*m**2 - 275*m + 780 = 0.
3, 52
Factor -5*d**2 - 165*d.
-5*d*(d + 33)
Determine a so that -3*a**2 - 99*a - 186 = 0.
-31, -2
Factor -5*i**3/2 + 20*i**2 - 105*i/2 + 45.
-5*(i - 3)**2*(i - 2)/2
Determine u so that -22*u**5/5 + 158*u**4/5 - 402*u**3/5 + 442*u**2/5 - 40*u + 24/5 = 0.
2/11, 1, 2, 3
Solve -2*y**2/5 - 12*y/5 + 432/5 = 0.
-18, 12
Suppose -5*b**2/3 + 74*b/3 + 5 = 0. Calculate b.
-1/5, 15
Find l, given that l**3 - 3*l**2 + 2*l = 0.
0, 1, 2
Determine z, given that 102675*z**2 + 1110*z + 3 = 0.
-1/185
Factor -4*v**3/5 - 52*v**2/5 - 48*v/5.
-4*v*(v + 1)*(v + 12)/5
Factor 3*v**3 + 81*v**2 - 372*v.
3*v*(v - 4)*(v + 31)
Let 5*z**4 + 595*z**3 - 2455*z**2 + 645*z + 3690 = 0. Calculate z.
-123, -1, 2, 3
Factor 75*j**3 - 20*j**2 - 4*j.
j*(5*j - 2)*(15*j + 2)
Let 4*q**3/3 - 244*q**2/3 + 1232*q = 0. Calculate q.
0, 28, 33
Suppose 63*s**3/2 + 3*s**2/2 - 63*s/2 - 3/2 = 0. What is s?
-1, -1/21, 1
Factor 289*w**2 - 136*w + 16.
(17*w - 4)**2
Factor 2*z**2/5 + 78*z/5 - 752/5.
2*(z - 8)*(z + 47)/5
Factor 7*b**4/5 + 46*b**3/5 - 31*b**2/5 - 14*b.
b*(b + 1)*(b + 7)*(7*b - 10)/5
Find n such that -4*n**2 + 1024*n = 0.
0, 256
Find w, given that -5*w**5 - 10*w**4 + 10*w**3 + 20*w**2 - 5*w - 10 = 0.
-2, -1, 1
Factor 3*m**2 - 36*m + 108.
3*(m - 6)**2
Factor -539*x**3 - 5558*x**2 - 1684*x - 40.
-(x + 10)*(7*x + 2)*(77*x + 2)
Determine p, given that 2*p**4/7 - 8*p**3 - 398*p**2/7 - 340*p/7 = 0.
-5, -1, 0, 34
Find p such that 22*p**4 + 460*p**3 - 66*p**2 - 504*p = 0.
-21, -1, 0, 12/11
Determine o, given that -3*o**5 - 6*o**4 + 18*o**3 + 12*o**2 - 39*o + 18 = 0.
-3, -2, 1
Suppose -2*y**4/3 + 260*y**3/3 - 3696*y**2 + 147136*y/3 + 340736/3 = 0. What is y?
-2, 44
Let 4*y**2/7 - 8*y + 180/7 = 0. What is y?
5, 9
Determine m so that m**2/2 + 63*m/2 + 31 = 0.
-62, -1
Solve 4*s**5 - 36*s**4 - 652*s**3 + 36*s**2 + 648*s = 0.
-9, -1, 0, 1, 18
Factor -o**4/4 - 559*o**3/4 + 561*o**2/2.
-o**2*(o - 2)*(o + 561)/4
Determine p, given that -2*p**5/5 + 12*p**4 + 30*p**3 - 136*p**2 - 168*p + 2304/5 = 0.
-3, 2, 32
Factor v**4/2 + 11*v**3/2 + 35*v**2/2 + 25*v/2.
v*(v + 1)*(v + 5)**2/2
Let -2*u**2 - 2368*u - 700928 = 0. What is u?
-592
Suppose 2*o**4/3 - 226*o**3/9 + 2474*o**2/9 - 6086*o/9 - 2312/9 = 0. Calculate o.
-1/3, 4, 17
Factor r**2/2 + 6001*r + 36012001/2.
(r + 6001)**2/2
Let -4*s**3 + 115*s**2 - 292*s + 156 = 0. What is s?
3/4, 2, 26
Solve -q**2/4 - 51*q = 0 for q.
-204, 0
Factor 4*o**2/5 - 1044*o/5 + 208.
4*(o - 260)*(o - 1)/5
Solve 3*s**4/2 - 417*s**3/2 + 819*s**2/2 + 417*s/2 - 411 = 0 for s.
-1, 1, 2, 137
Solve -l**4/5 + 141*l**3/5 - 414*l**2/5 - 4*l/5 + 552/5 = 0.
-1, 2, 138
Suppose -144*y**2 + 850*y + 196 = 0. Calculate y.
-2/9, 49/8
Find p, given that -3*p**3 + 207*p**2 - 3672*p + 3468 = 0.
1, 34
Factor 3*z**2/2 - 507*z/2 + 501.
3*(z - 167)*(z - 2)/2
Determine w, given that 5041*w**4/3 + 10366*w**3/3 + 1871*w**2 + 292*w/3 + 4/3 = 0.
-1, -2/71
Factor -49*x**3/4 - 175*x**2/4 - 8*x + 64.
-(x - 1)*(7*x + 16)**2/4
Determine b, given that 83521*b**4/6 - 2161720*b**3/3 + 13987600*b**2 - 362032000*b/3 + 1171280000/3 = 0.
220/17
Determine f so that 2*f**4/3 - 8*f**3 + 22*f**2/3 = 0.
0, 1, 11
Determine b, given that -2*b**2 - 60*b = 0.
-30, 0
Suppose -15*b**5 + 185*b**4 - 615*b**3 + 815*b**2 - 450*b + 80 = 0. What is b?
1/3, 1, 2, 8
What is c in -6*c**2 - 43*c = 0?
-43/6, 0
Factor -3*i**2/4 + 189*i/4 + 48.
-3*(i - 64)*(i + 1)/4
Determine f, given that 47*f**3/6 - 143*f**2/3 + 4*f = 0.
0, 4/47, 6
Determine h, given that -5*h**4 - 1540*h**3 - 115460*h**2 + 480480*h - 486720 = 0.
-156, 2
Determine t so that 2*t**3/7 - 3326*t**2/7 + 1381120*t/7 + 1384448/7 = 0.
-1, 832
Solve -5*i**2 + 5680*i - 1613120 = 0 for i.
568
What is q in -44*q**4 - 520*q**3 - 828*q**2 + 4480*q - 784 = 0?
-7, 2/11, 2
Factor s**2/4 - s/4.
s*(s - 1)/4
Let 9*g**5/2 - 3*g**4/2 - 93*g**3/2 + 207*g**2/2 - 84*g + 24 = 0. What is g?
-4, 1, 4/3
Determine b, given that 3*b**2/2 + 3*b/2 - 63 = 0.
-7, 6
Let -2*w**2 + 5648*w - 3987488 = 0. What is w?
1412
Factor -i**2/7 - 3*i/7 - 2/7.
-(i + 1)*(i + 2)/7
Solve 2*r**4 + 2*r**3 - 46*r**2 + 78*r - 36 = 0.
-6, 1, 3
Find s such that 2*s**2/11 + 2*s/11 = 0.
-1, 0
Suppose -6*z**4 - 28*z**3 - 16*z**2 = 0. Calculate z.
-4, -2/3, 0
Factor -2*y**2 - 3808*y - 1812608.
-2*(y + 952)**2
Factor -n**2/2 + 61*n/2 + 438.
-(n - 73)*(n + 12)/2
Solve -s**3 - 4*s**2 - 3*s = 0 for s.
-3, -1, 0
Factor -2*i**3/9 - 98*i**2/9.
-2*i**2*(i + 49)/9
Factor -q**4/3 + 23*q**3 - 408*q**2 + 1156*q/3.
-q*(q - 34)**2*(q - 1)/3
Factor -f**4/4 - f**3 + 75*f**2/4 + 133*f/2 - 196.
-(f - 8)*(f - 2)*(f + 7)**2/4
Determine d so that 10*d**4/7 - 184*d**3/7 + 402*d**2/7 - 292*d/7 + 64/7 = 0.
2/5, 1, 16
What is p in -5*p**4 + 15*p**3 + 50*p**2 - 120*p = 0?
-3, 0, 2, 4
Factor -h**5 - 31*h**4 - 222*h**3 + 320*h**2 + 512*h.
-h*(h - 2)*(h + 1)*(h + 16)**2
Find a, given that 2*a**2 + 232*a = 0.
-116, 0
What is m in 35*m**3 - 690*m**2 + 3300*m + 1000 = 0?
-2/7, 10
Factor -j**4/10 + 409*j**3/10 + 821*j**2/10 + 411*j/10.
-j*(j - 411)*(j + 1)**2/10
Find l such that 2*l**3/11 + 118*l**2/11 - 498*l/11 + 378/11 = 0.
-63, 1, 3
Factor k**2 - 96*k + 2304.
(k - 48)**2
Factor -7*i**2/2 - 78*i - 22.
-(i + 22)*(7*i + 2)/2
Determine l so that l**5/5 - 22*l**4/5 + 118*l**3/5 + 68*l**2/5 - 407*l/5 + 242/5 = 0.
-2, 1, 11
Determine t so that 2*t**2/11 - 296*t/11 + 10952/11 = 0.
74
Factor -2*p**3/5 + 184*p**2/5 - 210*p + 1548/5.
-2*(p - 86)*(p - 3)**2/5
Solve -3*v**2 + 303*v = 0.
0, 101
Let 2*l**4/11 - 2804*l**3/11 + 985594*l**2/11 - 1951600*l/11 - 2940000/11 = 0. What is l?
-1, 3, 700
Factor 2*x**4/7 + 18*x**3/7 - 6*x**2/7 - 50*x/7 + 36/7.
2*(x - 1)**2*(x + 2)*(x + 9)/7
Solve -15*g**4 + 100*g**3 - 115*g**2 - 50*g = 0.
-1/3, 0, 2, 5
Factor -36*i**2 - 120*i - 100.
-4*(3*i + 5)**2
Factor -3*c**4/4 + 3*c**3/4 + 9*c**2/2.
-3*c**2*(c - 3)*(c + 2)/4
Solve -5*q**4 - 220*q**3 + 485*q**2 + 1120*q - 1380 = 0 for q.
-46, -2, 1, 3
Factor -3*l**2/5 - 6*l/5 - 3/5.
-3*(l + 1)**2/5
Suppose 4*b**2 - 232*b + 2580 = 0. Calculate b.
15, 43
Solve -40*c**5/11 - 54*c**4/11 + 8*c**3 + 46*c**2/11 - 48*c/11 + 8/11 = 0.
-2, -1, 1/4, 2/5, 1
Factor 76*j**5 - 1588*j**4 + 11004*j**3 - 24892*j**2 - 2744*j.
4*j*(j - 7)**3*(19*j + 2)
Let -2*l**4 + 6*l**3 + 84*l**2 + 200*l + 144 = 0. Calculate l.
-2, 9
Let -w**2/2 + 149*w/2 = 0. What is w?
0, 149
Solve -2*t**2/13 - 280*t/13 + 282/13 = 0 for t.
-141, 1
Find s, given that -14*s**5 - 38*s**4 - 30*s**3 - 2*s**2 + 4*s = 0.
-1, 0, 2/7
Factor -o**3/5 + o**2/5 + 17*o/5 + 3.
-(o - 5)*(o + 1)*(o + 3)/5
Find f such that f**4/5 + 3*f**3/5 - 18*f**2/5 + 4*f/5 + 24/