 + 81)/13
Determine n, given that 68*n**3 - 138*n**2 - 200*n + 6 = 0.
-1, 1/34, 3
Find x, given that 2*x**2/11 + 358*x/11 - 724/11 = 0.
-181, 2
Factor d**2/3 + 176*d/3 + 7744/3.
(d + 88)**2/3
Factor 5*h**3 - 25*h**2 - 10*h + 120.
5*(h - 4)*(h - 3)*(h + 2)
Find l, given that 8*l**5 + 120*l**4 - 142*l**3 - 204*l**2 + 314*l - 96 = 0.
-16, -3/2, 1/2, 1
Solve -22*d**4 + 136*d**3 - 134*d**2 + 20*d = 0 for d.
0, 2/11, 1, 5
Factor 8*j**3 - 164*j**2 + 220*j + 152.
4*(j - 19)*(j - 2)*(2*j + 1)
Factor 4*q**2 - 360*q - 736.
4*(q - 92)*(q + 2)
Suppose -v**2/4 - 31*v/2 - 61/4 = 0. Calculate v.
-61, -1
Factor 2*y**4 - 58*y**3 + 544*y**2 - 1664*y.
2*y*(y - 13)*(y - 8)**2
Determine j so that 2*j**4/5 - 2*j**3 = 0.
0, 5
Factor -13*j**2/5 - 28*j/5 - 4/5.
-(j + 2)*(13*j + 2)/5
Determine p so that 20*p**5/9 + 82*p**4/9 + 28*p**3/9 - 118*p**2/9 - 4*p/3 = 0.
-3, -2, -1/10, 0, 1
Factor 738*v**2 - 2210*v - 12.
2*(v - 3)*(369*v + 2)
Find b, given that b**4 + 32*b**3 + 286*b**2 + 480*b + 225 = 0.
-15, -1
Suppose -3*l**5 + 21*l**4 + 12*l**3 - 156*l**2 - 144*l = 0. What is l?
-2, -1, 0, 4, 6
Determine c, given that 2*c**5/11 - 92*c**4/11 + 768*c**3/11 - 1664*c**2/11 - 2560*c/11 + 9216/11 = 0.
-2, 4, 36
What is g in -g**2/7 - 47*g/7 - 172/7 = 0?
-43, -4
Factor 2*u**4/9 - 20*u**3/9 + 58*u**2/9 - 16*u/9 - 32/3.
2*(u - 4)**2*(u - 3)*(u + 1)/9
Determine j, given that -2*j**5/9 - 8*j**4/9 + 32*j**2/9 + 32*j/9 = 0.
-2, 0, 2
What is q in q**4 - 801*q**3 - 1605*q**2 - 803*q = 0?
-1, 0, 803
Solve -22*f**2 - 1310*f - 708 = 0 for f.
-59, -6/11
What is c in 4*c**3 - 126*c**2 + 960*c + 512 = 0?
-1/2, 16
Factor 3*p**2 - 288*p + 285.
3*(p - 95)*(p - 1)
Factor 3*r**3 - 9*r - 6.
3*(r - 2)*(r + 1)**2
Factor 5*v**4 + 30*v**3 + 65*v**2 + 60*v + 20.
5*(v + 1)**2*(v + 2)**2
Let -5*x**3 + 31515*x**2 - 66213015*x + 46371181505 = 0. Calculate x.
2101
Suppose w**2/2 - 23*w/2 + 21 = 0. Calculate w.
2, 21
Factor o**5/6 + 65*o**4/6 + 955*o**3/6 - 3265*o**2/6 + 1700*o/3 - 578/3.
(o - 1)**3*(o + 34)**2/6
Factor y**2 - 138*y + 4761.
(y - 69)**2
Factor -t**2/5 - 5124*t/5 - 6563844/5.
-(t + 2562)**2/5
Determine r, given that -r**2/4 - 27*r/2 + 28 = 0.
-56, 2
Let -2*i**3/5 - 12*i**2/5 - 18*i/5 = 0. Calculate i.
-3, 0
Suppose 2*d**5 - 128*d**4/15 - 136*d**3/15 + 36*d**2/5 + 106*d/15 + 4/3 = 0. Calculate d.
-1, -2/5, -1/3, 1, 5
Suppose 2*t**3/7 - 10*t**2/7 - 8*t + 64/7 = 0. Calculate t.
-4, 1, 8
Factor 2*x**4 - 6*x**2 - 4*x.
2*x*(x - 2)*(x + 1)**2
Suppose -14*r**3/5 + 3988*r**2 - 5696*r/5 = 0. What is r?
0, 2/7, 1424
Factor 3*g**4 - 27*g**3 - 3*g**2 + 27*g.
3*g*(g - 9)*(g - 1)*(g + 1)
Let -5*n**4 + 750*n**3 + 5*n**2 - 750*n = 0. What is n?
-1, 0, 1, 150
What is h in 5*h**2 - 275*h - 280 = 0?
-1, 56
Find m such that -m**4/4 - 3*m**3 - 39*m**2/4 - 7*m = 0.
-7, -4, -1, 0
Let 2*t**4/3 + 4*t**3/3 - 14*t**2/3 - 40*t/3 - 8 = 0. What is t?
-2, -1, 3
Suppose -u**5/2 + 13*u**4/2 + 63*u**3/2 + 83*u**2/2 + 17*u = 0. Calculate u.
-2, -1, 0, 17
Factor -o**4 - 21*o**3 - 118*o**2 - 60*o + 200.
-(o - 1)*(o + 2)*(o + 10)**2
Determine i so that i**2 + 28*i - 29 = 0.
-29, 1
Factor -25392*n**3 - 24840*n**2 + 549*n - 3.
-3*(n + 1)*(92*n - 1)**2
Solve -2*m**3/7 + 92*m**2/7 - 90*m/7 = 0 for m.
0, 1, 45
Factor 5*m**2 - 6440*m + 2073680.
5*(m - 644)**2
Find l, given that 16*l**3 - 676*l**2 + 1448*l - 320 = 0.
1/4, 2, 40
Determine d so that 2*d**5/7 - 22*d**4/21 - 2*d**3/3 + 94*d**2/21 - 40*d/21 - 8/7 = 0.
-2, -1/3, 1, 2, 3
Find d such that d**5 - 28*d**4 + 237*d**3 - 486*d**2 - 864*d + 2592 = 0.
-2, 3, 12
Factor 6*w**3/5 + 256*w**2/5 + 168*w/5.
2*w*(w + 42)*(3*w + 2)/5
Solve 22*z**3 + 40*z**2 + 14*z - 4 = 0 for z.
-1, 2/11
Suppose w**3 - 77*w**2 + 1360*w + 4800 = 0. Calculate w.
-3, 40
Factor -u**4 - 23*u**3 - 51*u**2 + 175*u - 100.
-(u - 1)**2*(u + 5)*(u + 20)
What is k in -k**2/4 + 3*k/4 - 1/2 = 0?
1, 2
Determine v so that v**5 + 5*v**4 + 2*v**3 - 14*v**2 - 3*v + 9 = 0.
-3, -1, 1
Suppose -2*q**5 + 30*q**3 - 20*q**2 - 120*q + 144 = 0. Calculate q.
-3, 2
Determine a so that a**2/7 - 16*a - 113/7 = 0.
-1, 113
Determine u, given that -8*u**4/3 + 22*u**3 - 8*u**2/3 - 22*u + 16/3 = 0.
-1, 1/4, 1, 8
What is s in -5*s**5/4 + 35*s**4/2 - 40*s**3 - 160*s**2 = 0?
-2, 0, 8
Factor -2*m**2/11 + 3232*m/11 - 3230/11.
-2*(m - 1615)*(m - 1)/11
Let x**3/5 + 4*x**2/5 + x/5 - 6/5 = 0. What is x?
-3, -2, 1
Determine t so that t**4/8 + t**3/8 = 0.
-1, 0
Factor -2*x**4/3 - 4*x**3 + 8*x**2/3 + 16*x.
-2*x*(x - 2)*(x + 2)*(x + 6)/3
Determine q so that q**5 + q**4 - 2*q**3 - 2*q**2 + q + 1 = 0.
-1, 1
Factor -l**4 - 2*l**3 + 7*l**2 - 4*l.
-l*(l - 1)**2*(l + 4)
Solve 4*f**2 - 72*f - 76 = 0 for f.
-1, 19
Let 4*l**5 + 60*l**4 + 288*l**3 + 432*l**2 = 0. Calculate l.
-6, -3, 0
Factor -v**2/7 + 7568*v/7 - 14318656/7.
-(v - 3784)**2/7
Factor 3*a**2/4 + 1035*a/2.
3*a*(a + 690)/4
What is c in 3*c**2/4 - 9*c/2 - 21/4 = 0?
-1, 7
Factor n**2 - 16*n + 15.
(n - 15)*(n - 1)
Let 2*w**3/3 - 34*w**2/3 + 28*w/3 + 784/3 = 0. What is w?
-4, 7, 14
Factor -7*v**3/2 + 39*v**2/2 - 19*v - 12.
-(v - 4)*(v - 2)*(7*v + 3)/2
Factor 4*z**4/7 - 12*z**3/7 - 4*z**2/7 + 12*z/7.
4*z*(z - 3)*(z - 1)*(z + 1)/7
Find b, given that -2*b**2 - 3580*b - 1602050 = 0.
-895
Suppose -2*c**4 - 34*c**3 - 80*c**2 + 600*c = 0. What is c?
-10, 0, 3
What is m in -5*m**2 - 810*m - 2385 = 0?
-159, -3
Determine d, given that d**5/11 + 251*d**4/11 + 15370*d**3/11 - 47626*d**2/11 + 48133*d/11 - 16129/11 = 0.
-127, 1
Suppose 2*k**3/21 - 50*k**2/21 + 82*k/7 - 114/7 = 0. Calculate k.
3, 19
Determine b, given that -15*b**3 - 445*b**2 + 615*b - 155 = 0.
-31, 1/3, 1
Factor -2*w**2 + 8*w + 42.
-2*(w - 7)*(w + 3)
Let t**4 - 11*t**3 - 13*t**2 + 11*t + 12 = 0. Calculate t.
-1, 1, 12
Determine i, given that 6*i**5/11 - 2100*i**4/11 + 4176*i**3/11 + 12*i**2/11 - 4182*i/11 + 2088/11 = 0.
-1, 1, 348
Solve 2*v**5/17 + 6*v**4/17 - 92*v**3/17 + 144*v**2/17 = 0 for v.
-9, 0, 2, 4
Solve 3*y**2/2 + 127*y/2 + 21 = 0.
-42, -1/3
Let 3*p**3 - 315*p**2 + 1482*p + 1800 = 0. Calculate p.
-1, 6, 100
Determine j so that -2*j**2/3 - 82*j/3 + 28 = 0.
-42, 1
Solve -t**5 - 4905*t**4 - 6017208*t**3 - 6012304*t**2 = 0 for t.
-2452, -1, 0
Let -w**3/2 - 13*w**2 + 149*w/2 - 93 = 0. What is w?
-31, 2, 3
Find m such that 30*m**3/23 - 82*m**2/23 - 140*m/23 - 48/23 = 0.
-2/3, -3/5, 4
Suppose -162*x**5/13 + 36*x**4 + 490*x**3/13 - 1628*x**2/13 + 1024*x/13 - 192/13 = 0. Calculate x.
-2, 4/9, 1, 3
Factor -4*m**5/7 - 8*m**4/7 + 12*m**3/7 + 16*m**2/7 - 16*m/7.
-4*m*(m - 1)**2*(m + 2)**2/7
Find x such that 70*x**3 - 37*x**2 - 31*x - 2 = 0.
-2/5, -1/14, 1
Factor -j**4/7 - j**3/7 + 3*j**2/7 + 5*j/7 + 2/7.
-(j - 2)*(j + 1)**3/7
Suppose 4*u**3 - 5964*u**2 + 2220096*u + 2226064 = 0. What is u?
-1, 746
Factor i**4/3 + 80*i**3 + 316*i**2 + 944*i/3.
i*(i + 2)**2*(i + 236)/3
Factor g**4/3 + 13*g**3/3 + 17*g**2 + 21*g.
g*(g + 3)**2*(g + 7)/3
Let -2*z**4 - 90*z**3 - 1302*z**2 - 5542*z + 6936 = 0. Calculate z.
-17, -12, 1
Let -20*h**2/9 + 44*h/3 - 8 = 0. What is h?
3/5, 6
Factor a**4/6 - 13*a**2/6 + 2*a.
a*(a - 3)*(a - 1)*(a + 4)/6
Factor 2*v**2/9 - 52*v/3 + 338.
2*(v - 39)**2/9
Solve -5*h**5 - 40*h**4 - 90*h**3 - 20*h**2 + 95*h + 60 = 0.
-4, -3, -1, 1
Let 12*z**3 + 3488*z**2 + 16048*z + 9152 = 0. Calculate z.
-286, -4, -2/3
Factor 2*k**4/7 - 128*k**3/7 - 130*k**2/7.
2*k**2*(k - 65)*(k + 1)/7
Let 14*v**5 - 38*v**4 - 236*v**3 - 232*v**2 - 48*v = 0. What is v?
-2, -1, -2/7, 0, 6
Suppose -5*t**3 - 90*t**2 + 5*t + 90 = 0. What is t?
-18, -1, 1
Find m, given that m**3 - 119*m**2 + 116*m + 236 = 0.
-1, 2, 118
Factor 3*a**2 - 7797*a - 7800.
3*(a - 2600)*(a + 1)
Factor 3*m**4 - 12*m**3 + 9*m**2.
3*m**2*(m - 3)*(m - 1)
Determine k so that 2*k**2/3 + 224*k/3 = 0.
-112, 0
Determine g so that -g**5/8 + g**4/4 + 6*g**3 + 61*g**2/4 + 113*g/8 + 9/2 = 0.
-4, -1, 9
Factor -3*s**2/4 + 915*s/2 - 279075/4.
-3*(s - 305)**2/4
Factor -f**2/3 + 56*f/3 - 784/3.
-(f - 28)**2/3
Find j, given that -3*j**4 + 228*j**3 + 3*j**2 - 228*j = 0.
-1, 0, 1, 76
Suppose 12*i**2 - 376*i - 256 = 0. Calculate i.
-2/3, 32
Factor -338*j**2/7 + 104*j - 56.
-2*(13*j - 14)**2/7
Factor 2*m**4/17 + 16*m**3/17 + 42*m**2/17 + 36*m/17.
2*m*(m + 2)*(m + 3)**2/17
Find j, given that j**2/3 - 65*j/3 - 68 = 0.
-3, 68
Factor -33*j**2/7 - 12*j/7.
-3*j*(11*j + 4)/7
Solve -3*v**3 - 12*v**2 + 12*v + 48 = 0.
-4, -2, 2
Solve -9*q**5/5 +