+ 44)/6
Factor i**3 - 8*i**2 - 23*i + 30.
(i - 10)*(i - 1)*(i + 3)
Solve 6*w**2 + 10953*w - 5478 = 0 for w.
-1826, 1/2
Factor 26*k**4/3 - 220*k**3/3 + 32*k**2.
2*k**2*(k - 8)*(13*k - 6)/3
Determine o so that 6*o**4/7 - 106*o**3/7 - 162*o**2/7 + 186*o/7 + 76/7 = 0.
-2, -1/3, 1, 19
Factor -2*o**3/7 - 16*o**2/7 - 40*o/7 - 32/7.
-2*(o + 2)**2*(o + 4)/7
Factor -4*a**3 + 116*a**2 - 832*a + 720.
-4*(a - 18)*(a - 10)*(a - 1)
Find o, given that -4*o**3 - 6488*o**2 - 2630884*o = 0.
-811, 0
Suppose o**3 - 124*o**2 + 2221*o + 2346 = 0. Calculate o.
-1, 23, 102
Determine k, given that -k**3/4 - k**2/4 + 9*k + 9 = 0.
-6, -1, 6
Let 2*d**2/17 - 796*d/17 + 794/17 = 0. Calculate d.
1, 397
Factor -3*k**5 + 28*k**4 - 90*k**3 + 108*k**2 - 27*k.
-k*(k - 3)**3*(3*k - 1)
Factor -2*s**3 + 30*s**2 - 108*s + 80.
-2*(s - 10)*(s - 4)*(s - 1)
Suppose 2*n**2 + 3224*n + 3222 = 0. What is n?
-1611, -1
Factor -20*f**2 - 14432*f + 5776.
-4*(f + 722)*(5*f - 2)
Find l such that -4*l**2 - 190*l + 824 = 0.
-103/2, 4
What is a in -3*a**4/5 - 5508*a**3/5 + 16542*a**2/5 - 16548*a/5 + 5517/5 = 0?
-1839, 1
Solve 14*a**3/17 - 16*a**2/17 - 278*a/17 + 40/17 = 0 for a.
-4, 1/7, 5
Find s such that 10*s**2 - 58*s - 12 = 0.
-1/5, 6
Solve -3*u**5/5 - 37*u**4/5 - 61*u**3/5 + 97*u**2/5 + 64*u/5 - 12 = 0.
-10, -3, -1, 2/3, 1
Solve -9*k**5/2 + 3*k**4/2 + 9*k**3/2 - 3*k**2/2 = 0 for k.
-1, 0, 1/3, 1
Factor -3*d**3/7 + 90*d**2/7 - 171*d/7 + 12.
-3*(d - 28)*(d - 1)**2/7
Find m such that 3*m**2/5 - 27/5 = 0.
-3, 3
Find s such that 2*s**3/15 - 2*s**2/5 + 2*s/5 - 2/15 = 0.
1
Factor 3*z**2 + 837*z - 1686.
3*(z - 2)*(z + 281)
Factor -c**2/4 + 4*c + 128.
-(c - 32)*(c + 16)/4
Determine n so that -2*n**5/9 + 22*n**4/3 - 226*n**3/3 + 2110*n**2/9 - 224*n/3 - 392 = 0.
-1, 3, 14
What is w in w**2 - 353*w - 354 = 0?
-1, 354
Let 3*y**4/2 + 3*y**3/2 - 39*y**2/2 - 75*y/2 - 18 = 0. Calculate y.
-3, -1, 4
What is l in l**5 + 313*l**4/7 - 1791*l**3/7 + 2915*l**2/7 - 1744*l/7 + 300/7 = 0?
-50, 2/7, 1, 3
Suppose 2*y**4 + 484*y**3 + 29754*y**2 + 56160*y - 86400 = 0. What is y?
-120, -3, 1
Let -2*b**3 + 358*b**2 - 16198*b + 15842 = 0. What is b?
1, 89
Solve 3*g**2/5 + 54*g = 0 for g.
-90, 0
Find m such that 32*m**4/9 - 10*m**3/3 - 32*m**2/3 + 154*m/9 - 20/3 = 0.
-2, 15/16, 1
Factor -5*y**4 - 5*y**3.
-5*y**3*(y + 1)
Find j, given that 5*j**3 - 2030*j**2 - 8185*j - 6150 = 0.
-3, -1, 410
Factor -3*d**2/4 - 69*d/4 + 75/2.
-3*(d - 2)*(d + 25)/4
Let 2*t**5/9 - 32*t**4/3 - 72*t**3 = 0. Calculate t.
-6, 0, 54
Let -2*k**4 - 28*k**3 + 62*k**2 - 32*k = 0. What is k?
-16, 0, 1
Find r such that r**5/2 - 28*r**4 + 781*r**3/2 + 85*r**2 - 1232*r + 784 = 0.
-2, 1, 28
Let -2*c**5 + 2*c**4 + 42*c**3 - 82*c**2 + 40*c = 0. Calculate c.
-5, 0, 1, 4
Find d such that -49*d**5/2 - 175*d**4/2 + 54*d**3 + 344*d**2 + 176*d + 24 = 0.
-3, -2, -2/7, 2
Solve 28*f**4 - 474*f**3 + 2760*f**2/7 + 344*f + 384/7 = 0.
-2/7, 3/2, 16
Determine t so that -2*t**4/7 + 52*t**3/7 + 2*t**2/7 - 52*t/7 = 0.
-1, 0, 1, 26
Factor -390*i**2 - 202*i - 24.
-2*(3*i + 1)*(65*i + 12)
Solve 5*x**3 - 40*x**2 - 1065*x - 2700 = 0 for x.
-9, -3, 20
Solve 3*l**2 - 384*l + 12288 = 0.
64
Determine w so that -1681*w**4/7 - 8569*w**3/7 + 9262*w**2/7 + 964*w/7 + 24/7 = 0.
-6, -2/41, 1
Suppose -3*d**3 - 21*d**2 = 0. What is d?
-7, 0
Find i such that 2*i**4 + 20*i**3 - 1216*i**2 + 6720*i + 18432 = 0.
-32, -2, 12
Factor z**2/2 + 233*z + 54289/2.
(z + 233)**2/2
Determine i so that 2*i**3/11 - 6*i**2/11 - 48*i/11 - 56/11 = 0.
-2, 7
Let -8*h**3/9 - 316*h**2/9 - 3040*h/9 + 1600/9 = 0. Calculate h.
-20, 1/2
Factor r**5/3 - 8*r**4/3 - 416*r**3/3 + 6226*r**2/3 - 16577*r/3 - 61226/3.
(r - 11)**3*(r + 2)*(r + 23)/3
Suppose -u**3/3 + 2*u**2 - 8*u/3 = 0. What is u?
0, 2, 4
Factor b**3/3 - 41*b**2/3 - b/3 + 41/3.
(b - 41)*(b - 1)*(b + 1)/3
Suppose -4*k**3 - 64*k**2 - 164*k - 104 = 0. What is k?
-13, -2, -1
What is u in 6*u**5 + 86*u**4 - 1124*u**3 + 1836*u**2 + 4190*u + 1150 = 0?
-23, -1, -1/3, 5
Factor 2*k**5 + 10*k**4 + 6*k**3 - 10*k**2 - 8*k.
2*k*(k - 1)*(k + 1)**2*(k + 4)
Find x such that 2*x**2/9 - 962*x/9 + 320/3 = 0.
1, 480
Find p, given that 3*p**5/4 - 23*p**4/4 - 11*p**3/4 + 203*p**2/4 + 62*p + 15 = 0.
-2, -1, -1/3, 5, 6
Suppose o**3 + o**2 - 6*o = 0. Calculate o.
-3, 0, 2
Solve 3*k**5/2 - 6*k**4 + 9*k**3/2 = 0.
0, 1, 3
Factor -2*i**2/7 + 468*i/7 - 27378/7.
-2*(i - 117)**2/7
Factor c**5 + c**4 - 4*c**3 - 4*c**2.
c**2*(c - 2)*(c + 1)*(c + 2)
Factor -64*d**5/5 - 4768*d**4/5 - 117604*d**3/5 - 188060*d**2 + 98500*d - 12500.
-4*(d + 25)**3*(4*d - 1)**2/5
Determine n so that -4*n**5 - 196*n**4 - 372*n**3 + 196*n**2 + 376*n = 0.
-47, -2, -1, 0, 1
Suppose 4*t**3 - 60*t**2 - 292*t - 228 = 0. Calculate t.
-3, -1, 19
Find t such that 5*t**3 + 365*t**2 - 1130*t + 760 = 0.
-76, 1, 2
Factor z**2/5 - 781*z/5 - 628.
(z - 785)*(z + 4)/5
Factor 5*q**5/2 - 20*q**4 + 25*q**3/2 + 125*q**2.
5*q**2*(q - 5)**2*(q + 2)/2
Determine y so that -3*y**3 + 24*y**2 + 417*y + 714 = 0.
-7, -2, 17
What is d in -45*d**2 + 3140*d + 700 = 0?
-2/9, 70
Find v such that v**4/10 + v**3/10 - 23*v**2/10 + 39*v/10 - 9/5 = 0.
-6, 1, 3
Factor -3*f**3 + 11610*f**2 - 14976900*f + 6440067000.
-3*(f - 1290)**3
Factor -3*p**2 - 868*p - 289.
-(p + 289)*(3*p + 1)
What is i in 2*i**2 + 44*i + 242 = 0?
-11
Factor 3*u**2 + 123*u/5.
3*u*(5*u + 41)/5
Solve -n**2 - 880*n - 193600 = 0 for n.
-440
Factor -5*u**4 - 65*u**3 + 5*u**2 + 65*u.
-5*u*(u - 1)*(u + 1)*(u + 13)
Factor -3*q**4 + 150*q**3 - 243*q**2 - 2268*q + 5184.
-3*(q - 48)*(q - 3)**2*(q + 4)
Factor -4*m**2 - 372*m - 368.
-4*(m + 1)*(m + 92)
Factor -j**2/2 - 319*j - 101761/2.
-(j + 319)**2/2
Solve 2*f**4/21 - 10*f**3/7 + 130*f**2/21 - 10*f + 36/7 = 0.
1, 2, 3, 9
Factor c**2/3 + 32*c/3 - 35.
(c - 3)*(c + 35)/3
Factor 3*x**2/2 + 81*x + 156.
3*(x + 2)*(x + 52)/2
Find z such that -98446084*z**2/3 + 79376*z/3 - 16/3 = 0.
2/4961
Factor 3*x**2/4 + 15*x/4.
3*x*(x + 5)/4
Factor -8*h**3 + 790*h**2 - 1354*h - 388.
-2*(h - 97)*(h - 2)*(4*h + 1)
Solve 3*m**3/2 + 10959*m**2/2 + 10002825*m/2 - 10013787/2 = 0 for m.
-1827, 1
Suppose 6*y**2/5 - 42*y + 204/5 = 0. Calculate y.
1, 34
Determine r, given that -4*r**2/11 + 30*r/11 - 50/11 = 0.
5/2, 5
Find u such that 8*u**2 - 436*u - 220 = 0.
-1/2, 55
Solve -2*y**5/15 - 14*y**4/15 + 2*y**3/3 + 142*y**2/15 - 16*y/3 - 40/3 = 0.
-5, -1, 2
Determine i, given that 24*i**5 + 116*i**4 - 812*i**3 - 948*i**2 + 5364*i - 864 = 0.
-8, -3, 1/6, 3
Find i such that -4*i**5/7 + 52*i**4/7 - 212*i**3/7 + 284*i**2/7 - 120*i/7 = 0.
0, 1, 5, 6
Determine g so that -g**3/4 + g**2 - 5*g/4 + 1/2 = 0.
1, 2
Solve 4*b**5/5 - 44*b**3/5 + 24*b**2/5 + 112*b/5 - 96/5 = 0 for b.
-3, -2, 1, 2
Factor a**3/4 - 9*a**2/4 - 16*a - 21.
(a - 14)*(a + 2)*(a + 3)/4
Suppose -i**5/6 + 4*i**4/3 + 9*i**3 - 34*i**2/3 - 53*i/6 + 10 = 0. Calculate i.
-5, -1, 1, 12
Let -2*n**3/11 - 52*n**2/11 - 96*n/11 = 0. What is n?
-24, -2, 0
What is s in s**5/2 - 21*s**4/2 - 49*s**3/2 + 65*s**2/2 + 48*s - 46 = 0?
-2, 1, 23
Let -4*h**4 + 56*h**3 + 128*h**2 = 0. Calculate h.
-2, 0, 16
Suppose 3*i**4/2 - 81*i**3 + 990*i**2 - 4575*i + 14625/2 = 0. Calculate i.
5, 39
Factor 4*u**3 - 8824*u**2 + 4866436*u.
4*u*(u - 1103)**2
Factor -2*x**3/19 - 430*x**2/19 - 24926*x/19 - 190962/19.
-2*(x + 9)*(x + 103)**2/19
Factor -3*u**2 + 450*u - 3003.
-3*(u - 143)*(u - 7)
Suppose i**4/6 + 29*i**3/3 + 167*i**2/2 - 4930*i/3 + 14450/3 = 0. What is i?
-34, 5
Factor i**2 + 30*i + 56.
(i + 2)*(i + 28)
Factor r**3/6 + 19*r**2/2 - 215*r/2 + 1675/6.
(r - 5)**2*(r + 67)/6
Determine k so that 20*k**5/3 + 38*k**4/3 - 20*k**3/3 - 26*k**2/3 + 4*k = 0.
-2, -1, 0, 1/2, 3/5
Suppose -15*c**2 + 220*c - 765 = 0. What is c?
17/3, 9
Factor -3*i**4 - 618*i**3 - 33627*i**2 - 185400*i - 270000.
-3*(i + 3)**2*(i + 100)**2
Suppose -14*f**5 - 90*f**4 - 204*f**3 - 184*f**2 - 48*f = 0. What is f?
-2, -3/7, 0
Factor -x**2/7 - 320*x/7 - 25600/7.
-(x + 160)**2/7
Find s such that -2*s**2/9 + 2*s - 40/9 = 0.
4, 5
Let 17*v**5/7 - 87*v**4/7 - 137*v**3 - 1569*v**2/7 + 198*v/7 = 0. What is v?
-3, 0, 2/17, 11
Solve 2*o**4/3 + 8*o**3/3 + 10*o**2/3 + 4*o/3 = 0 for o.
-2, -1, 0
Determine a, given that a**4 - 31*a**3 + 21*a**2 + 279*a - 270 = 0.
-3, 1, 3, 30
Factor p**3/9 - 13*p**2/9 - 52*p/3 - 28.
(p - 21)*(p + 2)*(p + 6)/9
Let -4*c**5 - 16*c**4 - 12*c**3 + 16*c**2 + 16*c = 0. What is c?
-2,