 1)/5
Factor -4*w**2 - 168*w + 172.
-4*(w - 1)*(w + 43)
Solve 15*h**3/8 + 21*h**2/8 - 9*h/2 = 0.
-12/5, 0, 1
Factor 2*x**4/13 + 46*x**3/13 - 150*x**2/13 + 154*x/13 - 4.
2*(x - 1)**3*(x + 26)/13
Find g such that 9*g**5/2 + 3*g**4 - 9*g**3/2 - 3*g**2 = 0.
-1, -2/3, 0, 1
Factor r**5/5 - r**4/5 - r**3 + r**2/5 + 8*r/5 + 4/5.
(r - 2)**2*(r + 1)**3/5
Find w, given that w**2/4 + 11*w + 21 = 0.
-42, -2
Let 3*l**3 - 261*l**2 + 6048*l - 15876 = 0. What is l?
3, 42
Factor -2*l**3 - 230*l**2 - 6496*l + 6728.
-2*(l - 1)*(l + 58)**2
Solve 2*p**5/9 - 262*p**4/9 + 2900*p**3/3 - 7156*p**2/9 - 41470*p/9 - 8450/3 = 0 for p.
-1, 3, 65
Solve -2*b**5 - 17*b**4/2 + 20*b**3 - 13*b**2/2 - 3*b = 0 for b.
-6, -1/4, 0, 1
Determine j so that -3*j**2 - 264*j = 0.
-88, 0
Let -50*s**5 + 1050*s**4 + 2308*s**3 - 168*s**2 - 368*s = 0. What is s?
-2, -2/5, 0, 2/5, 23
Factor -4*d**5 - 3372*d**4 + 10140*d**3 - 10148*d**2 + 3384*d.
-4*d*(d - 1)**3*(d + 846)
Find o, given that o**5/2 - 7*o**4/2 - 8*o**3 + 26*o**2 + 48*o = 0.
-2, 0, 3, 8
Factor 4*s**2 + 48*s - 52.
4*(s - 1)*(s + 13)
Suppose 5*m**3 + 20*m**2 + 25*m + 10 = 0. Calculate m.
-2, -1
Factor -h**2/5 - 22*h/5 - 121/5.
-(h + 11)**2/5
Let -5*b**5 - 95*b**4 - 330*b**3 - 470*b**2 - 305*b - 75 = 0. What is b?
-15, -1
Factor 2*t**2/3 + 88*t/3 + 320/3.
2*(t + 4)*(t + 40)/3
Factor v**2 + 86*v + 1849.
(v + 43)**2
Determine q so that q**2/5 + 29*q/5 + 54/5 = 0.
-27, -2
Factor -7*a**2 + 5*a + 2.
-(a - 1)*(7*a + 2)
Factor 4*u**3 + 188*u**2 + 2812*u + 12996.
4*(u + 9)*(u + 19)**2
Determine x, given that -3*x**2 + 9510*x - 7536675 = 0.
1585
Find m such that -2*m**2 + 1468*m - 269378 = 0.
367
Suppose d**3 + 21*d**2 + 120*d + 100 = 0. What is d?
-10, -1
Factor -g**3 - g**2 + 2*g.
-g*(g - 1)*(g + 2)
Factor 38*x**4/11 + 34*x**3/11 - 4*x**2/11.
2*x**2*(x + 1)*(19*x - 2)/11
Factor -3*x**2 - 27*x - 24.
-3*(x + 1)*(x + 8)
Let b**4 + 79*b**3 + 2094*b**2 + 19264*b + 17248 = 0. What is b?
-28, -22, -1
Determine b so that -b**2 + 5*b + 24 = 0.
-3, 8
Find k, given that 7*k**2/5 - 4*k/5 - 3/5 = 0.
-3/7, 1
Let -2*j**4 + 14*j**3 - 24*j**2 = 0. What is j?
0, 3, 4
Factor -5*f**3/4 - 25*f**2/4 - 15*f/4 + 45/4.
-5*(f - 1)*(f + 3)**2/4
Determine c so that -225*c**5 - 940*c**4 - 815*c**3 - 40*c**2 + 60*c = 0.
-3, -1, -2/5, 0, 2/9
Factor -2*u**5/5 + 14*u**4/5 - 24*u**3/5.
-2*u**3*(u - 4)*(u - 3)/5
Factor -15*i**3/4 - 17*i**2/4 - i/2.
-i*(i + 1)*(15*i + 2)/4
Determine d, given that d**3/6 - 335*d**2/6 + 4648*d + 4704 = 0.
-1, 168
Factor 34*x**5 + 78*x**4 + 20*x**3.
2*x**3*(x + 2)*(17*x + 5)
Factor -l**3 - 2*l**2/3 + 7*l/3 - 2/3.
-(l - 1)*(l + 2)*(3*l - 1)/3
Factor 16*a**2 - 148*a + 36.
4*(a - 9)*(4*a - 1)
Let 7*r**5/4 - 9*r**4/4 - 5*r**3/4 + 9*r**2/4 - r/2 = 0. Calculate r.
-1, 0, 2/7, 1
Factor -3*i**3 + 9*i**2 + 540*i.
-3*i*(i - 15)*(i + 12)
Determine s, given that 2*s**3/3 + 15514*s**2/3 + 30093280*s/3 + 30077768/3 = 0.
-3878, -1
Factor -r**4/6 - 5*r**3/6 + 25*r**2/6 + 125*r/6.
-r*(r - 5)*(r + 5)**2/6
Factor 2*f**2/7 - 6*f/7 - 36/7.
2*(f - 6)*(f + 3)/7
Let n**4 + 101*n**3 + 3425*n**2 + 40075*n + 36750 = 0. What is n?
-35, -30, -1
Let 2*p**3/15 + 28*p**2/15 + 112*p/15 + 128/15 = 0. What is p?
-8, -4, -2
Factor 4*q**3/3 + 170*q**2/3 + 82*q/3 - 28.
2*(q + 1)*(q + 42)*(2*q - 1)/3
Find i, given that -3*i**3/8 - 141*i**2/2 - 27063*i/8 - 25947/4 = 0.
-93, -2
Let -2*f**2 + 34*f + 220 = 0. Calculate f.
-5, 22
Suppose 28*j**2/5 + 636*j/5 - 184/5 = 0. Calculate j.
-23, 2/7
Find y, given that -4*y**5 + 60*y**4 - 232*y**3 - 72*y**2 + 812*y + 588 = 0.
-1, 3, 7
Let -8*z**5/3 - 62*z**4/3 - 128*z**3/3 - 92*z**2/3 - 8*z/3 + 10/3 = 0. Calculate z.
-5, -1, 1/4
Find q, given that q**4 + 834*q**3 + 174721*q**2 + 346944*q + 173056 = 0.
-416, -1
Factor -5*j**2 - 15*j + 20.
-5*(j - 1)*(j + 4)
Solve -4*p**3/3 - 13*p**2/6 + p = 0 for p.
-2, 0, 3/8
Suppose 2*k**5 - 148*k**4 + 2738*k**3 = 0. What is k?
0, 37
Factor 2*w**4/3 - 14*w**3/3 + 4*w**2/3 + 80*w/3.
2*w*(w - 5)*(w - 4)*(w + 2)/3
Factor -2*z**4/5 - 6*z**3/5 + 54*z**2/5 + 54*z + 324/5.
-2*(z - 6)*(z + 3)**3/5
Suppose -2*o**3/13 - 406*o**2/13 - 19982*o/13 + 63654/13 = 0. Calculate o.
-103, 3
Suppose -n**3/6 + n**2/3 + 13*n/6 + 5/3 = 0. Calculate n.
-2, -1, 5
What is u in -2*u**4 + 62*u**2 + 60*u = 0?
-5, -1, 0, 6
Find g, given that 2*g**4 + 12*g**3 + 22*g**2 + 12*g = 0.
-3, -2, -1, 0
Factor -2*r**2/9 + 4*r/3 - 2.
-2*(r - 3)**2/9
Factor j**2/8 + 5*j/4 + 2.
(j + 2)*(j + 8)/8
Find h, given that -25*h**5 + 465*h**4 - 2185*h**3 + 2475*h**2 - 130*h - 600 = 0.
-2/5, 1, 5, 12
Suppose c**4/3 - 21*c**3 = 0. What is c?
0, 63
Factor v**4/10 - 2*v**3/5 + 3*v**2/10.
v**2*(v - 3)*(v - 1)/10
Factor -3*t**4/2 + 21*t**3 - 159*t**2/2 + 60*t.
-3*t*(t - 8)*(t - 5)*(t - 1)/2
Factor -4*b**3 - 12*b**2 + 16*b.
-4*b*(b - 1)*(b + 4)
Factor 2*a**4/7 + 764*a**3/7 + 69842*a**2/7 - 595920*a/7 + 1216800/7.
2*(a - 4)**2*(a + 195)**2/7
Suppose 2*y**3 - 1868*y**2 + 436178*y = 0. Calculate y.
0, 467
Determine i, given that 26*i**5/15 - 94*i**4/5 + 892*i**3/15 - 272*i**2/15 - 576*i/5 - 256/15 = 0.
-1, -2/13, 4
Factor -4*q**2/3 + 148*q/3 - 48.
-4*(q - 36)*(q - 1)/3
Factor -52*w**4/19 + 310*w**3/19 - 24*w**2 - 18*w/19.
-2*w*(w - 3)**2*(26*w + 1)/19
Solve -f**5/4 + 5*f**4/2 - 8*f**3 + 19*f**2/2 - 15*f/4 = 0.
0, 1, 3, 5
Factor -d**3/3 + 16*d**2/3 - 29*d/3 + 14/3.
-(d - 14)*(d - 1)**2/3
Solve -2*u**2/9 - 514*u/3 - 512 = 0 for u.
-768, -3
Determine h so that -h**3/9 - 14*h**2/3 - 60*h - 216 = 0.
-18, -6
Find x such that x**2/6 + 31*x/2 - 95/3 = 0.
-95, 2
Factor -2*a**4/5 - 182*a**3/5 - 5184*a**2/5 - 34816*a/5 + 65536.
-2*(a - 5)*(a + 32)**3/5
Factor p**4/9 - 2*p**3/9 - p**2/3.
p**2*(p - 3)*(p + 1)/9
Find d such that -15*d**5 + 54*d**4 + 69*d**3 - 252*d**2 - 108*d = 0.
-2, -2/5, 0, 3
Find c, given that -2*c**3 - 12*c**2 - 6*c + 20 = 0.
-5, -2, 1
Factor 4*h**5 - 22*h**4 + 34*h**3 + 4*h**2 - 40*h + 16.
2*(h - 2)**3*(h + 1)*(2*h - 1)
What is d in -d**5/2 - 6*d**4 - 29*d**3/2 + 21*d**2 + 72*d = 0?
-8, -3, 0, 2
Factor -y**2/2 + 1487*y/3 - 991/6.
-(y - 991)*(3*y - 1)/6
Suppose c**4/2 - c**3 - 19*c**2/2 - 14*c - 6 = 0. What is c?
-2, -1, 6
Find a, given that 10*a**2 + 2*a - 260 = 0.
-26/5, 5
Factor -58*m**2/9 + 80*m/9 + 46/3.
-2*(m + 1)*(29*m - 69)/9
Factor 3*l**2/4 + 27*l/4.
3*l*(l + 9)/4
Solve 21*f**2 + 1065*f - 306 = 0 for f.
-51, 2/7
Factor -4*s**3 + 172*s**2 - 888*s.
-4*s*(s - 37)*(s - 6)
Suppose -5*g**5 - 55*g**4 - 225*g**3 - 405*g**2 - 270*g = 0. What is g?
-3, -2, 0
Factor 2*h**2/9 + 784*h/9.
2*h*(h + 392)/9
Solve -w**3 - 411*w**2 = 0 for w.
-411, 0
Factor -2*c**2/19 + 80*c/19 + 82/19.
-2*(c - 41)*(c + 1)/19
Suppose -2*r**5 + 8*r**4 - 10*r**3 + 4*r**2 = 0. Calculate r.
0, 1, 2
Find a, given that -8*a**4/9 + 494*a**3/9 - 844*a**2/9 + 238*a/9 + 40/3 = 0.
-1/4, 1, 60
What is p in -2*p**5 + 26*p**4 - 44*p**3 - 4*p**2 + 46*p - 22 = 0?
-1, 1, 11
Let 2156*q**5 - 4396*q**4 + 3104*q**3 - 7072*q**2/7 + 1088*q/7 - 64/7 = 0. Calculate q.
2/11, 2/7, 1
Suppose 5*t**4 + 380*t**3 + 4335*t**2 + 15300*t + 11340 = 0. What is t?
-63, -6, -1
Factor z**2/7 - 3140*z/7 + 2464900/7.
(z - 1570)**2/7
Factor -27648*r**3/5 - 3456*r**2/5 - 144*r/5 - 2/5.
-2*(24*r + 1)**3/5
Solve 2*a**3 + 2*a**2 - 8*a - 8 = 0.
-2, -1, 2
Find a, given that -a**3/8 + 595*a**2/8 - 1187*a/8 + 593/8 = 0.
1, 593
Factor u**4 - 5*u**3 + 6*u**2.
u**2*(u - 3)*(u - 2)
Suppose -4*h**3 - 7428*h**2 - 4597932*h - 948706636 = 0. Calculate h.
-619
Factor -2*l**2/11 + 1322*l/11.
-2*l*(l - 661)/11
Factor -d**3 - 35*d**2 - 352*d - 768.
-(d + 3)*(d + 16)**2
Factor 5*s**2/2 - 95*s/2 + 85.
5*(s - 17)*(s - 2)/2
Factor -u**3/4 - u**2/4 + 5*u.
-u*(u - 4)*(u + 5)/4
Suppose -3*q**2 + 63*q + 66 = 0. What is q?
-1, 22
Suppose 5*z**4 - 110*z**3 + 525*z**2 - 740*z + 320 = 0. Calculate z.
1, 4, 16
Factor -j**5 + 3*j**4 + 3*j**3 - 11*j**2 + 6*j.
-j*(j - 3)*(j - 1)**2*(j + 2)
What is d in -245*d**5 + 3780*d**4 - 2680*d**3 - 100480*d**2 - 56400*d - 8000 = 0?
-4, -2/7, 10
What is i in 48*i**4 - 335*i**3 + 713*i**2 - 417*i - 9 = 0?
-1/48, 1, 3
Determine t so that 33*t**2 - 498*t + 504 = 0.
12/11, 14
Let 23805*h**3 + 125925*h**2 + 35000*h + 2500 = 0. What is h?
-5, -10/69
Determine i, given that -3*i**3 + 96*i**2 - 423*i + 486 = 0.
2, 3, 27
Find v, given that -v**4 - 7*v**3 - 11*v**2 - 5*v = 0.
-5, -1, 0
Find x such that -37*x**5 + 368*x**4 - 313*x**3 - 18*x