*h/23 + 128.
2*(h - 736)*(h - 2)/23
Factor r**2 - 295*r - 296.
(r - 296)*(r + 1)
Factor 2*z**2 + 8854*z.
2*z*(z + 4427)
Suppose 3*g**4/7 + 180*g**3/7 + 2487*g**2/7 - 7254*g/7 - 23064/7 = 0. Calculate g.
-31, -2, 4
Let q**5 - q**4 - 14*q**3 - 26*q**2 - 19*q - 5 = 0. Calculate q.
-1, 5
Solve -18*t**5/17 + 1516*t**4/17 - 33492*t**3/17 + 63456*t**2/17 + 78310*t/17 - 20172/17 = 0.
-1, 2/9, 3, 41
What is w in 4*w**3 - 161*w**2 - 124*w + 41 = 0?
-1, 1/4, 41
Factor -3*i**4/8 + 33*i**3/8 - 57*i**2/8 + 27*i/8.
-3*i*(i - 9)*(i - 1)**2/8
Suppose -20*q**5 + 365*q**4 - 2250*q**3 + 5300*q**2 - 4130*q + 735 = 0. Calculate q.
1/4, 1, 3, 7
Factor 2*v**3/7 - 6*v**2 + 88*v/7 + 360/7.
2*(v - 18)*(v - 5)*(v + 2)/7
Suppose -j**3/3 - 28*j**2/3 - 33*j - 24 = 0. Calculate j.
-24, -3, -1
Factor -2*y**3/9 - 118*y**2/9 - 116*y/9.
-2*y*(y + 1)*(y + 58)/9
Factor 5*f**5 + 90*f**4 + 305*f**3 - 900*f**2 + 500*f.
5*f*(f - 1)**2*(f + 10)**2
Suppose 16*z**4 + 72*z**3 + 97*z**2 + 36*z + 4 = 0. Calculate z.
-2, -1/4
Factor 5*v**2 - 390*v + 7605.
5*(v - 39)**2
Factor -f**4/6 - 3*f**3/2 + f**2/6 + 3*f/2.
-f*(f - 1)*(f + 1)*(f + 9)/6
Find k such that k**4 + 11*k**3 + 43*k**2 + 69*k + 36 = 0.
-4, -3, -1
Factor -2*v**2 + 176*v - 984.
-2*(v - 82)*(v - 6)
What is q in -q**3/2 - 15*q**2 + 63*q/2 - 16 = 0?
-32, 1
Factor -4*h**2/5 - 652*h/5 - 3768/5.
-4*(h + 6)*(h + 157)/5
Let 3*a**4 - 990*a**3 + 81663*a**2 + 3960*a - 326700 = 0. Calculate a.
-2, 2, 165
Solve -2*s**4/11 + 10*s**3/11 + 2*s**2/11 - 10*s/11 = 0.
-1, 0, 1, 5
Factor -2*n**4/9 - 124*n**3/9 - 454*n**2/3 + 17360*n/9 - 39200/9.
-2*(n - 4)**2*(n + 35)**2/9
Factor 4*a**3 - 480*a**2 - 484*a.
4*a*(a - 121)*(a + 1)
Factor 2*o**4/3 - 4276*o**3 + 9142088*o**2 - 19545784144*o/3.
2*o*(o - 2138)**3/3
Let -3*u**4/4 + 9*u**3 - 27*u**2 = 0. Calculate u.
0, 6
Factor -c**5/3 + 410*c**4/3 - 56305*c**3/3 + 2626840*c**2/3 - 5086400*c/3 + 2515456/3.
-(c - 136)**3*(c - 1)**2/3
Let -6*l**4/11 - 2*l**3 - 12*l**2/11 = 0. What is l?
-3, -2/3, 0
Determine b, given that b**4/7 + b**3/7 - 11*b**2/7 - 9*b/7 + 18/7 = 0.
-3, -2, 1, 3
Factor -2*u**3 + 244*u**2 + 1520*u + 2048.
-2*(u - 128)*(u + 2)*(u + 4)
Factor 243*p**4 - 2079*p**3 + 2442*p**2 + 1404*p + 168.
3*(p - 7)*(p - 2)*(9*p + 2)**2
Solve 3*c**5/8 - 3*c**4/8 - 3*c**3/4 = 0.
-1, 0, 2
Determine r, given that 21*r**3/2 - 15*r**2/2 - 66*r - 18 = 0.
-2, -2/7, 3
Solve -2*j**4/11 - 106*j**3/11 - 102*j**2/11 + 106*j/11 + 104/11 = 0.
-52, -1, 1
Suppose -2*y**5/7 - 32*y**4/7 - 146*y**3/7 - 36*y**2/7 + 648*y/7 - 432/7 = 0. Calculate y.
-6, 1
Factor 3*a**3 - 9*a**2.
3*a**2*(a - 3)
Factor 4*n**2/9 + 68*n/9 + 64/9.
4*(n + 1)*(n + 16)/9
Find m, given that -2*m**2/11 - 5268*m/11 - 3468978/11 = 0.
-1317
What is x in -4*x**2 - 76*x - 360 = 0?
-10, -9
Factor -2*g**5/7 - 40*g**4/7 - 74*g**3/7 - 36*g**2/7.
-2*g**2*(g + 1)**2*(g + 18)/7
Find l such that -12*l**5/7 + 120*l**4/7 + 429*l**3/7 + 489*l**2/7 + 33*l + 39/7 = 0.
-1, -1/2, 13
Determine i so that 18*i**5 + 312*i**4 + 1244*i**3 - 936*i**2 + 162*i = 0.
-9, 0, 1/3
Factor 5*m**4 - 10*m**3 - 55*m**2 + 60*m.
5*m*(m - 4)*(m - 1)*(m + 3)
Determine c so that -5*c**3/3 + 935*c**2/3 - 14725*c + 14415 = 0.
1, 93
Find o such that 25*o**5 + 80*o**4 - 60*o**3 - 290*o**2 - 205*o - 30 = 0.
-3, -1, -1/5, 2
Find w, given that -2*w**2/7 - 372*w/7 - 3186/7 = 0.
-177, -9
Factor 5*z**3 - 85*z**2 + 475*z - 875.
5*(z - 7)*(z - 5)**2
Solve 2*i**2 - 868*i - 1744 = 0.
-2, 436
Find u, given that u**4/5 - 8*u**3/5 + 17*u**2/5 + 2*u/5 - 24/5 = 0.
-1, 2, 3, 4
Factor 4*g**5 + 224*g**4 - 24*g**3 - 1312*g**2 + 1780*g - 672.
4*(g - 1)**3*(g + 3)*(g + 56)
Find a such that -3*a**4/4 + 51*a**3 - 1188*a**2 + 10164*a - 15972 = 0.
2, 22
What is r in -5*r**2 - 240*r = 0?
-48, 0
What is a in -15*a**4 - 156*a**3 + 105*a**2 + 66*a = 0?
-11, -2/5, 0, 1
Determine z so that -3*z**4 - 45*z**3 - 81*z**2 - 39*z = 0.
-13, -1, 0
Factor -5*l**4 + 20*l**3 + 15*l**2 - 50*l - 40.
-5*(l - 4)*(l - 2)*(l + 1)**2
What is x in 2*x**2/3 + 14*x/3 - 12 = 0?
-9, 2
Find h such that -2*h**5 - 134*h**4 - 2670*h**3 - 14418*h**2 - 28080*h - 16200 = 0.
-30, -3, -1
Solve 3*d**2/5 + 987*d/5 - 3996/5 = 0 for d.
-333, 4
Let 36*n**4 - 80*n**3 + 16*n**2 = 0. Calculate n.
0, 2/9, 2
Factor 2*l**5 + 6*l**4 - 10*l**3 - 6*l**2 + 8*l.
2*l*(l - 1)**2*(l + 1)*(l + 4)
What is c in c**3 - 51*c**2 - 276*c - 224 = 0?
-4, -1, 56
Let 5*o**4 - 35*o**3 - 195*o**2 - 265*o - 110 = 0. Calculate o.
-2, -1, 11
Let -3*r**2/2 + 66*r - 726 = 0. What is r?
22
Solve 2*s**5 - 10*s**4 - 6*s**3 + 58*s**2 + 4*s - 48 = 0.
-2, -1, 1, 3, 4
Solve -3*f**3/5 + 421*f**2/10 - 7*f = 0.
0, 1/6, 70
Factor -5*g**2 + 85*g.
-5*g*(g - 17)
Factor -2*y**2/11 - 420*y/11.
-2*y*(y + 210)/11
Factor 3*w**4/4 + 3*w**3/2 + 3*w**2/4.
3*w**2*(w + 1)**2/4
Find r such that -r**4/3 - 11*r**3/3 + 16*r**2/3 + 44*r/3 - 16 = 0.
-12, -2, 1, 2
Determine g so that -63*g**5 - 102*g**4 - 3*g**3 + 48*g**2 + 12*g = 0.
-1, -2/7, 0, 2/3
Let -5*p**4 + 55*p**3 - 90*p**2 = 0. Calculate p.
0, 2, 9
Find a, given that -4*a**3 + 252*a**2 - 960*a + 944 = 0.
2, 59
Solve -6*m**4 - 57*m**3 - 162*m**2 - 96*m + 96 = 0 for m.
-4, -2, 1/2
What is t in 4*t**5 + 348*t**4 + 1676*t**3 + 2980*t**2 + 2304*t + 656 = 0?
-82, -2, -1
Suppose 2*h**5 - 1028*h**4 + 1020*h**3 + 3088*h**2 - 5134*h + 2052 = 0. What is h?
-2, 1, 513
Factor -5*v**4 - 30*v**3 - 45*v**2 - 20*v.
-5*v*(v + 1)**2*(v + 4)
Factor p**3/4 + 3*p**2 - 27*p/4 + 7/2.
(p - 1)**2*(p + 14)/4
Suppose 9*b**5 + 1311*b**4 - 5804*b**3 + 6896*b**2 - 608*b - 1200 = 0. What is b?
-150, -1/3, 2/3, 2
Find x, given that -x**2/6 - 407*x/6 = 0.
-407, 0
Factor 6*v**4/7 - 2*v**3/7 - 4*v**2/7.
2*v**2*(v - 1)*(3*v + 2)/7
Factor -2*r**3/11 - 170*r**2/11 + 346*r/11 - 174/11.
-2*(r - 1)**2*(r + 87)/11
Factor t**4/4 + t**3/2 - 13*t**2/4 + 5*t/2.
t*(t - 2)*(t - 1)*(t + 5)/4
Factor -3*c**2/2 - 39*c - 315/2.
-3*(c + 5)*(c + 21)/2
Let 5*v**5/4 + 75*v**4/2 - 125*v**3 - 75*v**2/2 + 495*v/4 = 0. What is v?
-33, -1, 0, 1, 3
Factor 6*v**3 - 436*v**2 - 600*v + 592.
2*(v - 74)*(v + 2)*(3*v - 2)
Factor -512*y**3 - 150080*y**2 - 18754*y - 586.
-2*(y + 293)*(16*y + 1)**2
Factor 3*k**3/7 - 549*k**2/7 - 12*k/7 + 2196/7.
3*(k - 183)*(k - 2)*(k + 2)/7
Factor 5*q**2 - 1610*q + 129605.
5*(q - 161)**2
Determine c, given that -c**2/6 - 43*c/2 - 127/3 = 0.
-127, -2
Factor 2187*z**4 - 3645*z**3 - 1377*z**2 - 159*z - 6.
3*(z - 2)*(9*z + 1)**3
Determine j, given that 10*j**5/17 - 16*j**4/17 - 38*j**3/17 + 28*j**2/17 + 56*j/17 + 16/17 = 0.
-1, -2/5, 2
Find a, given that -a**2/4 - 934*a - 872356 = 0.
-1868
Factor -2*g**4 - 86*g**3 + 2*g**2 + 86*g.
-2*g*(g - 1)*(g + 1)*(g + 43)
Solve -68*q**4/5 + 432*q**3/5 - 756*q**2/5 + 216*q/5 = 0 for q.
0, 6/17, 3
Let 2*n**4/7 + 46*n**3/7 + 240*n**2/7 - 288*n/7 = 0. What is n?
-12, 0, 1
Find y, given that 3*y**2 - 234*y + 4563 = 0.
39
Find l such that 15*l**5 + 190*l**4 + 375*l**3 - 280*l**2 - 300*l = 0.
-10, -3, -2/3, 0, 1
Let l**3 - 137*l**2 + 2856*l - 16272 = 0. Calculate l.
12, 113
Determine l so that l**2 - 40*l + 400 = 0.
20
Let -n**2 + 1479*n - 1478 = 0. What is n?
1, 1478
Factor -5*p**4/4 + 17*p**3/4 - 3*p**2/2.
-p**2*(p - 3)*(5*p - 2)/4
Find w, given that -6*w**3/5 - 4*w**2/5 + 6*w/5 + 4/5 = 0.
-1, -2/3, 1
What is v in -v**3/3 + 139*v**2/3 - 4144*v/3 - 16428 = 0?
-9, 74
Determine j, given that 3*j**4 + 60*j**3 - 3*j**2 - 60*j = 0.
-20, -1, 0, 1
Let -4*h**3 + 40*h**2 = 0. What is h?
0, 10
Factor 2*f**3/3 + 10*f**2/3 + 14*f/3 + 2.
2*(f + 1)**2*(f + 3)/3
Find g such that -3*g**2 - 135*g + 138 = 0.
-46, 1
Factor -x**3/2 - 61*x**2/2 - 85*x + 116.
-(x - 1)*(x + 4)*(x + 58)/2
Factor -7*o**5 + 33*o**4 - 53*o**3 + 31*o**2 - 4.
-(o - 2)*(o - 1)**3*(7*o + 2)
Factor -2*f**3 - 10*f**2/7 + 32*f/7 - 8/7.
-2*(f - 1)*(f + 2)*(7*f - 2)/7
Determine d so that 3*d**4/2 - 39*d**3/4 - 51*d**2/4 + 105*d/2 = 0.
-5/2, 0, 2, 7
Factor -3*n**5/2 - 75*n**4/2 - 150*n**3.
-3*n**3*(n + 5)*(n + 20)/2
Factor 3*i**4 + 12*i**3 - 36*i**2 - 96*i + 192.
3*(i - 2)**2*(i + 4)**2
Factor 5*v**2/3 + 485*v/3 + 3150.
5*(v + 27)*(v + 70)/3
Solve -k**3/4 + 589*k**2/2 - 2349*k/4 - 882 = 0.
-1, 3, 1176
What is v in -3*v**4/4 - 27*v**3/4 = 0?
-9, 0
Determine o so that 48*o**5 - 4*o**4 - 804*o**3 - 1672*o**2 - 1008*o - 160 = 0.
-2, -2/3, -1/4, 5
Let -v**3/3 - 4*v**2/3 + 19*v/3 - 14/3 = 0. Calculate v.
-7, 1, 2
Suppose -2*d**3 - 956*d