2, -1, -1/2
Factor -5*t**4 + 90*t**3 - 85*t**2.
-5*t**2*(t - 17)*(t - 1)
Factor 3*h**2/5 - 1440*h + 7197/5.
3*(h - 2399)*(h - 1)/5
Suppose o**3/4 - o**2/4 - o/2 = 0. Calculate o.
-1, 0, 2
Factor -2*l**3/9 - 22*l**2/9 - 8*l - 8.
-2*(l + 2)*(l + 3)*(l + 6)/9
Let 10*d**4 + 294*d**3 - 824*d**2 + 264*d + 256 = 0. What is d?
-32, -2/5, 1, 2
Solve f**4/3 + 4*f**3/3 + f**2 - 4*f/3 - 4/3 = 0.
-2, -1, 1
Find v, given that 4*v**5 + 8*v**4 + 4*v**3 = 0.
-1, 0
Factor 16*k**5/11 - 54*k**4/11 + 6*k**3 - 34*k**2/11 + 6*k/11.
2*k*(k - 1)**3*(8*k - 3)/11
Factor o**3/3 - o + 2/3.
(o - 1)**2*(o + 2)/3
Let 2*p**4/5 - 24*p**3/5 + 42*p**2/5 - 4*p = 0. What is p?
0, 1, 10
Solve -u**4 - 2*u**3 + 75*u**2 + 216*u = 0 for u.
-8, -3, 0, 9
Find p, given that 5*p**4 - 240*p**3 = 0.
0, 48
Factor -3*l**5 + 30*l**4 + 60*l**3 - 1080*l**2 + 10368.
-3*(l - 6)**3*(l + 4)**2
Determine v, given that -2*v**3 + 4*v**2 - 2*v = 0.
0, 1
Determine p so that 35*p**5/2 - 11*p**4/2 - 55*p**3/2 + 7*p**2/2 + 10*p + 2 = 0.
-1, -2/5, -2/7, 1
Factor u**4 + 5*u**3 - u**2 - 17*u + 12.
(u - 1)**2*(u + 3)*(u + 4)
Find u, given that -3*u**4 + 131*u**3 - 332*u**2 + 164*u = 0.
0, 2/3, 2, 41
Factor 5*f**4 + 40*f**3 - 20*f**2 - 160*f.
5*f*(f - 2)*(f + 2)*(f + 8)
Factor -g**2/5 - 142*g/5 + 288/5.
-(g - 2)*(g + 144)/5
Determine f, given that -2*f**4/23 - 274*f**3/23 + 564*f**2/23 + 1096*f/23 - 2224/23 = 0.
-139, -2, 2
Find f such that 3*f**2/5 + 828*f/5 = 0.
-276, 0
Factor 2*u**5/15 - 10*u**4/3 + 112*u**3/5 - 96*u**2/5.
2*u**2*(u - 12)**2*(u - 1)/15
Determine q so that 40*q**3 + 6332*q**2 + 251536*q + 74892 = 0.
-79, -3/10
Find q, given that 18*q**2/11 - 42*q/11 - 36/11 = 0.
-2/3, 3
Factor -4*d**2 + 2680*d - 5344.
-4*(d - 668)*(d - 2)
Determine n so that -3*n**4/5 + 24*n**3/5 - 9*n**2 - 12*n/5 + 12 = 0.
-1, 2, 5
Suppose -4*q**2 + 44*q + 104 = 0. What is q?
-2, 13
Solve 4*u**3 - 2268*u**2 - 9120*u - 9136 = 0.
-2, 571
Let 4*w**3/7 - 24*w**2/7 - 4*w = 0. What is w?
-1, 0, 7
Let -2*l**2 - 332*l - 13778 = 0. Calculate l.
-83
Factor -3*i**2 - 13878*i - 16049907.
-3*(i + 2313)**2
Determine a, given that -2*a**4 - 4*a**3 + 6*a**2 + 16*a + 8 = 0.
-2, -1, 2
Factor 9*a**3 + 9201*a**2 + 2353155*a + 783363.
3*(a + 511)**2*(3*a + 1)
Factor 4*g**2 - 356*g + 352.
4*(g - 88)*(g - 1)
Determine p so that 2*p**5 + 4*p**4 - 14*p**3 - 16*p**2 + 24*p = 0.
-3, -2, 0, 1, 2
Factor n**4 - 1500*n**3 + 843750*n**2 - 210937500*n + 19775390625.
(n - 375)**4
What is q in -5*q**2 - 110*q - 480 = 0?
-16, -6
Solve 25*j**4 + 5*j**3 - 25*j**2 - 5*j = 0.
-1, -1/5, 0, 1
Let -26*h**3/11 + 2*h**2/11 + 24*h/11 = 0. Calculate h.
-12/13, 0, 1
Factor f**2/3 - 3*f - 22/3.
(f - 11)*(f + 2)/3
Factor -u**3 - 2*u**2 + 5*u + 6.
-(u - 2)*(u + 1)*(u + 3)
Factor 2*h**5/9 + 41*h**4/3 + 320*h**3 + 3450*h**2 + 15750*h + 16875.
(h + 15)**4*(2*h + 3)/9
Find h such that 104*h**5 - 1356*h**4 + 2444*h**3 - 1236*h**2 + 44*h = 0.
0, 1/26, 1, 11
Solve 30*h**3 + 782*h**2 - 1628*h - 112 = 0 for h.
-28, -1/15, 2
Factor -4*s**4 - 68*s**3 + 4*s**2 + 68*s.
-4*s*(s - 1)*(s + 1)*(s + 17)
What is l in -3*l**4 + 27*l**3 - 48*l**2 - 108*l + 240 = 0?
-2, 2, 4, 5
Solve 8*n**5 + 4*n**4 - 12*n**3 - 4*n**2 + 4*n = 0 for n.
-1, 0, 1/2, 1
Determine w, given that 15*w**4 + 19000*w**3 + 6003960*w**2 - 8064480*w - 8039120 = 0.
-634, -2/3, 2
Let 3*s**5/5 - 9*s**4/5 - 21*s**3/5 + 33*s**2/5 + 18*s/5 - 24/5 = 0. Calculate s.
-2, -1, 1, 4
Factor -2*n**3 - 692*n**2 + 2094*n.
-2*n*(n - 3)*(n + 349)
Solve 3*w**4/7 - 135*w**3/7 - 1047*w**2/7 - 2313*w/7 - 1404/7 = 0.
-3, -1, 52
Suppose 2*x**5 + 12*x**4/5 - 34*x**3 + 156*x**2/5 + 232*x/5 - 48 = 0. What is x?
-5, -6/5, 1, 2
Factor -z**2 + 13*z - 22.
-(z - 11)*(z - 2)
Suppose a**2 - 1265*a - 1266 = 0. What is a?
-1, 1266
Determine u so that -u**5/4 - 2*u**4 - 3*u**3 + 13*u**2/2 + 61*u/4 + 15/2 = 0.
-5, -3, -1, 2
Determine p, given that 3*p**3/2 - 15*p**2/2 - 9*p = 0.
-1, 0, 6
Factor 3*s**2 + 45*s - 102.
3*(s - 2)*(s + 17)
Find o such that 35*o**5 + 200*o**4 + 315*o**3 - 110*o**2 - 620*o - 360 = 0.
-2, -1, 9/7
Factor 3*o**3 + 27*o**2 + 72*o + 60.
3*(o + 2)**2*(o + 5)
Factor 2*r**3 - 26*r**2 + 28*r + 176.
2*(r - 11)*(r - 4)*(r + 2)
Factor -l**5/7 + 6*l**4 - 81*l**3/7 + 40*l**2/7.
-l**2*(l - 40)*(l - 1)**2/7
Find l, given that -2*l**3/15 - 10*l**2/3 - 286*l/15 - 238/15 = 0.
-17, -7, -1
What is t in 5*t**3/4 - 60*t**2 + 1305*t/4 - 945/2 = 0?
3, 42
Let -3*c**4/5 + 6*c**3/5 + 84*c**2/5 + 138*c/5 + 63/5 = 0. Calculate c.
-3, -1, 7
Factor -2*x**3 - 50*x**2.
-2*x**2*(x + 25)
Determine q so that 3*q**2 - 6975*q - 6978 = 0.
-1, 2326
What is j in -28*j**4 - 300*j**3 - 1032*j**2 - 1024*j + 384 = 0?
-4, -3, 2/7
Find a such that 4*a**3 + 44*a**2 + 156*a + 180 = 0.
-5, -3
Factor -4*a**4/3 - 424*a**3 - 102388*a**2/3 - 66992*a - 99856/3.
-4*(a + 1)**2*(a + 158)**2/3
Suppose -16*s**3 - 228*s**2 - 696*s - 160 = 0. What is s?
-10, -4, -1/4
Factor -u**4/3 - 58*u**3 + 175*u**2/3.
-u**2*(u - 1)*(u + 175)/3
Factor 686*u**4 + 18914*u**3 - 8190*u**2 + 1174*u - 56.
2*(u + 28)*(7*u - 1)**3
What is r in -3*r**5 - 12*r**4 + 12*r**3 + 102*r**2 + 135*r + 54 = 0?
-3, -2, -1, 3
Let z**3 + 4*z**2 - 19*z + 14 = 0. Calculate z.
-7, 1, 2
Factor -2*m**4/15 - 4*m**3/5 + 18*m**2 - 160*m/3.
-2*m*(m - 5)**2*(m + 16)/15
Solve o**4/4 + 153*o**3/4 + 1722*o**2 + 8624*o - 658560 = 0.
-56, 15
Suppose -4*d**4 - 484*d**3 - 1428*d**2 - 1420*d - 472 = 0. Calculate d.
-118, -1
Suppose -x**3 + 63*x**2 - 60*x - 124 = 0. What is x?
-1, 2, 62
Factor k**2/6 - 50*k + 3750.
(k - 150)**2/6
Suppose -d**5/7 + 4233*d**4/7 + 8469*d**3/7 + 605*d**2 = 0. What is d?
-1, 0, 4235
Factor 3*z**3/4 - 915*z**2/4 - 693*z.
3*z*(z - 308)*(z + 3)/4
Let -c**3 - 7*c**2 + 17*c - 9 = 0. Calculate c.
-9, 1
Find x, given that -x**4/3 - 38*x**3/3 - 107*x**2 + 760*x/3 - 400/3 = 0.
-20, 1
Solve 3*t**2/2 + 4620*t + 3557400 = 0.
-1540
Factor -6*m**5/11 - 144*m**4/11 - 1350*m**3/11 - 6156*m**2/11 - 13608*m/11 - 11664/11.
-6*(m + 3)**2*(m + 6)**3/11
Suppose 9*p**4/2 - 2*p**3 - 7*p**2 + 2*p + 5/2 = 0. Calculate p.
-1, -5/9, 1
Factor -4*d**3 - 252*d**2 + 2308*d + 2556.
-4*(d - 9)*(d + 1)*(d + 71)
Suppose n**4 - 3*n**3 - n**2 + 3*n = 0. Calculate n.
-1, 0, 1, 3
Let -16*d**2/3 - 50*d/3 - 2 = 0. What is d?
-3, -1/8
Find n, given that 18*n**5 + 728*n**4 + 2240*n**3/9 - 25888*n**2/9 - 11552*n/9 - 1280/9 = 0.
-40, -2, -2/9, 2
Factor 3*o**4/7 + 24*o**3/7 + 69*o**2/7 + 12*o + 36/7.
3*(o + 1)*(o + 2)**2*(o + 3)/7
Factor 2*m**2 - 1064*m - 1066.
2*(m - 533)*(m + 1)
Solve 4*m**2/3 - 16*m + 80/3 = 0.
2, 10
Factor 3*w**2/8 + 81*w/2 + 159/2.
3*(w + 2)*(w + 106)/8
Factor 2*a**2/17 - 674*a/17 - 676/17.
2*(a - 338)*(a + 1)/17
Factor -i**5 - 6*i**4 + 3*i**3 + 20*i**2 + 12*i.
-i*(i - 2)*(i + 1)**2*(i + 6)
Find b such that -64*b**5/3 - 5536*b**4/3 - 158692*b**3/3 - 1480508*b**2/3 + 770356*b/3 - 97556/3 = 0.
-29, 1/4
Find c such that c**5/4 - 3*c**4/4 - 7*c**3/4 + 27*c**2/4 - 9*c/2 = 0.
-3, 0, 1, 2, 3
Factor s**5/4 + 19*s**4/4 + 33*s**3/2 + 47*s**2/2 + 61*s/4 + 15/4.
(s + 1)**4*(s + 15)/4
Factor 4*o**4/5 - 16*o**3/5 - 8*o**2 + 112*o/5 - 12.
4*(o - 5)*(o - 1)**2*(o + 3)/5
Determine j so that -2*j**2 - 26*j - 44 = 0.
-11, -2
Find p, given that -21*p**4/5 + 6249*p**3/5 + 15261*p**2/5 + 11691*p/5 + 540 = 0.
-1, -3/7, 300
Let -5*w**2 + 2255*w - 2250 = 0. What is w?
1, 450
Factor -p**2/4 + 477*p - 1907/4.
-(p - 1907)*(p - 1)/4
Factor 3*r**5/4 + 303*r**4 + 123615*r**3/4 + 121203*r**2/2.
3*r**2*(r + 2)*(r + 201)**2/4
Suppose -9*c**3/4 - 3*c**2/4 = 0. What is c?
-1/3, 0
Let -4*z**3 - 8*z**2 - 4*z = 0. What is z?
-1, 0
Factor -2*h**3 + 18*h**2 - 30*h + 14.
-2*(h - 7)*(h - 1)**2
Determine d, given that -3*d**4/7 + 45*d**3/7 - 219*d**2/7 + 387*d/7 - 30 = 0.
1, 2, 5, 7
Let u**4/2 - 11*u**3/2 + 27*u**2/2 - 25*u/2 + 4 = 0. What is u?
1, 8
Factor 4*s**4 + 792*s**3 + 39988*s**2 + 77616*s + 38416.
4*(s + 1)**2*(s + 98)**2
Suppose 2*u**3/5 - 22*u**2/5 - 2*u/5 + 22/5 = 0. Calculate u.
-1, 1, 11
Find u, given that -3*u**4/2 - 9795*u**3/4 - 1332936*u**2 - 242149632*u - 120741888 = 0.
-544, -1/2
Find w such that 15*w**2 - 415*w - 140 = 0.
-1/3, 28
Factor -3*i**4 - 6*i**3 + 39*i**2 - 30*i.
-3*i*(i - 2)*(i - 1)*(i + 5)
Factor -2*o**3/11 - 84*o**2/11 + 174*o/11 - 8.
-2*(o - 1)**2*(o + 44)/11
Find d such that 3*d**2 - 300 = 0.
-10, 10
Factor 2*o**2 - 292*o - 592.
2*(o - 148)*(o + 2)
Factor 