*r**2/3 - 176*r/3.
-r*(r - 2)**2*(r + 44)/3
Factor 3*a**3/2 + 3*a**2 - 9*a/2.
3*a*(a - 1)*(a + 3)/2
Factor 3*a**2/5 + 24*a/5 - 27/5.
3*(a - 1)*(a + 9)/5
Factor 2*u**2/17 + 76*u/17 - 78/17.
2*(u - 1)*(u + 39)/17
Find x, given that -2*x**5/9 - 32*x**4/9 - 56*x**3/9 + 4*x**2/9 + 58*x/9 + 28/9 = 0.
-14, -1, 1
Factor 4*s**4 - 8*s**3 + 8*s - 4.
4*(s - 1)**3*(s + 1)
Factor 2*g**2/7 - 1244*g/7 + 193442/7.
2*(g - 311)**2/7
Let 2*b**3 - 46*b**2 - 330*b - 522 = 0. What is b?
-3, 29
Let 3*s**3 - 42*s**2 + 87*s + 132 = 0. What is s?
-1, 4, 11
Determine t so that -34*t**5 - 64*t**4 + 246*t**3 - 164*t**2 + 16*t = 0.
-4, 0, 2/17, 1
Factor -3*l**3 + 849*l**2 - 846*l.
-3*l*(l - 282)*(l - 1)
Let -f**4/3 - 5*f**3/3 - 2*f**2 = 0. Calculate f.
-3, -2, 0
Solve 2*m**2/3 - 720*m + 194400 = 0 for m.
540
Factor -5*t**2 - 480*t - 475.
-5*(t + 1)*(t + 95)
What is d in -80*d**5 + 120*d**4 + 315*d**3 + 130*d**2 + 15*d = 0?
-1, -1/4, 0, 3
What is h in h**3/6 + 502*h**2/3 + 254989*h/6 + 249001 = 0?
-499, -6
Let s**3/5 + 6*s**2/5 + s = 0. Calculate s.
-5, -1, 0
Solve 2*p**4/7 + 148*p**3/7 + 2882*p**2/7 + 5328*p/7 + 2592/7 = 0 for p.
-36, -1
What is h in 23*h**5 - 136*h**4 - 817*h**3 - 1174*h**2 - 556*h - 40 = 0?
-2, -1, -2/23, 10
Suppose -d**4/5 + 13*d**3/5 - 8*d**2 + 36*d/5 = 0. What is d?
0, 2, 9
Solve -2*b**4/7 - 242*b**3/7 - 34*b**2 + 242*b/7 + 240/7 = 0 for b.
-120, -1, 1
What is u in 3*u**3 - 24*u**2 - 33*u + 54 = 0?
-2, 1, 9
Factor -4*l**4 - 44*l**3 - 108*l**2 - 100*l - 32.
-4*(l + 1)**3*(l + 8)
What is z in -z**5/5 + 224*z**4/5 - 883*z**3/5 + 132*z**2 = 0?
0, 1, 3, 220
Solve 2*b**2/3 + 116*b/3 + 224/3 = 0 for b.
-56, -2
Factor q**2 + 258*q + 16641.
(q + 129)**2
Factor 46128*t**2 - 744*t + 3.
3*(124*t - 1)**2
Factor -20*h**3/7 - 16*h**2 - 132*h/7 + 72/7.
-4*(h + 3)**2*(5*h - 2)/7
Let 60*c**5 - 2860*c**4 - 4005*c**3 + 4160*c**2 + 255*c - 490 = 0. What is c?
-2, -1/3, 1/2, 49
Factor -2*v**3/13 - 12*v**2/13 - 22*v/13 - 12/13.
-2*(v + 1)*(v + 2)*(v + 3)/13
Determine w, given that -5*w**5 + 95*w**4 + 1310*w**3 - 1400*w**2 = 0.
-10, 0, 1, 28
Factor s**3/4 - 345*s**2/4 + 39675*s/4 - 1520875/4.
(s - 115)**3/4
Factor 4*l**5 - 52*l**4 + 120*l**3 + 1000*l**2 - 5500*l + 7500.
4*(l - 5)**3*(l - 3)*(l + 5)
Factor -k**3/4 + 39*k**2/2 + 243*k/4.
-k*(k - 81)*(k + 3)/4
Factor 3*h**4/7 - 24*h**3/7 - 135*h**2/7 - 108*h/7.
3*h*(h - 12)*(h + 1)*(h + 3)/7
Suppose 4*k**5 - 8*k**3 + 4*k = 0. What is k?
-1, 0, 1
Factor -8*x**2 + 42*x + 36.
-2*(x - 6)*(4*x + 3)
Determine t, given that 6*t**4 + 111*t**3 + 177*t**2 - 1116*t - 1728 = 0.
-16, -4, -3/2, 3
Let -3*l**5/2 + 7*l**4 + 28*l**3 - 23*l**2 - 21*l/2 = 0. What is l?
-3, -1/3, 0, 1, 7
Factor 2*r**3/5 - 32*r**2/5 - 34*r/5.
2*r*(r - 17)*(r + 1)/5
Find y such that -2*y**2/13 - 146*y/13 = 0.
-73, 0
Let -3*c**4/5 - 102*c**3/5 - 864*c**2/5 + 102*c/5 + 867/5 = 0. What is c?
-17, -1, 1
Factor -2*z**4/7 + 2*z**3/7 + 10*z**2/7 + 6*z/7.
-2*z*(z - 3)*(z + 1)**2/7
Factor -s**2/7 - 67*s/7 + 68/7.
-(s - 1)*(s + 68)/7
Determine a so that -4*a**2/9 - 368*a/3 + 1108/9 = 0.
-277, 1
Factor 2*k**2/9 - 38*k/9 + 40/3.
2*(k - 15)*(k - 4)/9
Determine o so that -159*o**2 + 153*o + 6 = 0.
-2/53, 1
Let s**4/4 + 27*s**3/4 + 83*s**2/2 - 63*s - 98 = 0. Calculate s.
-14, -1, 2
Suppose k**4 - 62*k**3 - 193*k**2 - 130*k = 0. Calculate k.
-2, -1, 0, 65
What is d in -31*d**2/2 - 280*d - 18 = 0?
-18, -2/31
Factor -40*m**3 + 259*m**2 + 145*m + 14.
-(m - 7)*(5*m + 2)*(8*m + 1)
Determine w, given that 2*w**2/13 - 244*w/13 + 944/13 = 0.
4, 118
Find j such that j**5/6 - j**4/2 - 3*j**3 = 0.
-3, 0, 6
Find t such that -2*t**4/5 - 24*t**3/5 - 38*t**2/5 + 24*t/5 + 8 = 0.
-10, -2, -1, 1
Let l**3/9 - 35*l**2/9 - l/9 + 35/9 = 0. Calculate l.
-1, 1, 35
Determine b, given that 5*b**2/2 - 675*b/2 - 340 = 0.
-1, 136
Suppose l**5/2 + l**4 - 3*l**3/2 - 4*l**2 - 2*l = 0. What is l?
-2, -1, 0, 2
Solve -4*a**2 - 148*a/7 - 40/7 = 0.
-5, -2/7
Factor -3*o**3 - 42*o**2 - 48*o + 288.
-3*(o - 2)*(o + 4)*(o + 12)
Find c such that 14*c**4/13 + 1376*c**3/13 + 41552*c**2/13 + 357504*c/13 + 98784/13 = 0.
-42, -14, -2/7
Find k, given that k**5 + 15*k**4/4 + 2*k**3 - 3*k**2/4 = 0.
-3, -1, 0, 1/4
Factor 2*m**2/15 + 38*m/15 - 116/3.
2*(m - 10)*(m + 29)/15
Determine i, given that 2*i**5/9 + 28*i**4/9 + 34*i**3/3 - 12*i**2 - 120*i - 144 = 0.
-6, -3, -2, 3
Factor -2*t**3/13 + 46*t**2/13 + 576*t/13.
-2*t*(t - 32)*(t + 9)/13
Factor w**2 + 312*w - 945.
(w - 3)*(w + 315)
Find j, given that -3*j**3 - 78*j**2 - 135*j + 216 = 0.
-24, -3, 1
Factor -5*x**2/2 + 265*x + 1100.
-5*(x - 110)*(x + 4)/2
Find l, given that 3*l**3/2 - 57*l**2/2 - 468*l - 810 = 0.
-9, -2, 30
Determine o, given that 5*o**5 + 290*o**4 + 5065*o**3 + 21280*o**2 - 73500*o - 450000 = 0.
-25, -6, 4
Determine n so that 2*n**2/5 - 24*n/5 + 14 = 0.
5, 7
Solve -2*m**2/17 + 174*m/17 = 0.
0, 87
Factor 190*q**2 + 2105*q + 165.
5*(q + 11)*(38*q + 3)
Solve -4*u**2 + 52*u - 88 = 0 for u.
2, 11
Determine u so that 6*u**5/5 - 124*u**4/5 + 764*u**3/5 - 1104*u**2/5 - 1026*u/5 + 972/5 = 0.
-1, 2/3, 3, 9
Let 2*f**2 - 2*f = 0. What is f?
0, 1
Find a, given that 2*a**3/3 - 5236*a**2/3 = 0.
0, 2618
Factor -20*u**4 - 115*u**3 + 170*u**2 - 35*u.
-5*u*(u - 1)*(u + 7)*(4*u - 1)
Solve i**4/2 - 19*i**3/2 + 36*i**2 + 224*i - 1280 = 0 for i.
-5, 8
Factor z**2 - 202*z + 10201.
(z - 101)**2
Find m, given that -2*m**4 - 40*m**3 - 288*m**2 - 896*m - 1024 = 0.
-8, -4
Factor -4*a**4 - 100*a**3 - 92*a**2 + 100*a + 96.
-4*(a - 1)*(a + 1)**2*(a + 24)
Factor o**3/5 + 37*o**2 + 367*o/5 + 183/5.
(o + 1)**2*(o + 183)/5
Factor -z**3/4 - 509*z**2/8 - 8253*z/2 - 19845/2.
-(z + 126)**2*(2*z + 5)/8
What is n in -4*n**2 - 16*n = 0?
-4, 0
Factor 3*j**3 + 36*j**2 - 3*j - 36.
3*(j - 1)*(j + 1)*(j + 12)
Find g such that 3*g**4/2 - 147*g**3/2 + 774*g**2 + 3354*g - 4056 = 0.
-4, 1, 26
Find n, given that -n**2/3 + 692*n/3 - 119716/3 = 0.
346
Find a such that -3*a**2/7 - 2505*a/7 + 2508/7 = 0.
-836, 1
Solve -2*u**3/5 - 104*u**2/5 + 326*u/5 - 44 = 0.
-55, 1, 2
Solve -7*w**3 - 173*w**2 + 1352*w - 372 = 0.
-31, 2/7, 6
Let -3*g**4/5 - 9*g**3 + 153*g**2/5 - 159*g/5 + 54/5 = 0. What is g?
-18, 1
Solve 21*f**2 - 456*f - 132 = 0.
-2/7, 22
Find l such that 4*l**5 + 20*l**4 + 12*l**3 - 68*l**2 - 112*l - 48 = 0.
-3, -2, -1, 2
Suppose d**3 - 1651*d**2 + 680624*d + 682276 = 0. Calculate d.
-1, 826
Determine u so that u**2 - 430*u + 46225 = 0.
215
What is x in -3*x**2/2 + 6063*x - 12253323/2 = 0?
2021
Let -2*o**5 - 134*o**4 - 516*o**3 - 764*o**2 - 506*o - 126 = 0. What is o?
-63, -1
Find h such that 2*h**3/13 + 746*h**2/13 - 2*h/13 - 746/13 = 0.
-373, -1, 1
Let 2*s**2/7 + 12*s/7 - 80/7 = 0. What is s?
-10, 4
Solve o**3/4 - o**2 - 337*o/4 + 85 = 0.
-17, 1, 20
Factor -8*p**2 - 164*p - 80.
-4*(p + 20)*(2*p + 1)
Suppose 25*q**4/3 + 105*q**3 + 862*q**2/3 + 252*q + 184/3 = 0. What is q?
-46/5, -2, -1, -2/5
Let 2*d**5/3 + 34*d**4/3 + 80*d**3/3 - 592*d**2/3 + 160*d/3 + 800/3 = 0. What is d?
-10, -1, 2
Factor 3*r**3 - 108*r**2 + 297*r.
3*r*(r - 33)*(r - 3)
Factor n**2 + 54*n + 729.
(n + 27)**2
Factor -u**3/4 + 181*u**2/2 - 31265*u/4 - 68450.
-(u - 185)**2*(u + 8)/4
Suppose -6*y**5/7 + 64*y**4/7 - 184*y**3/7 - 96*y**2/7 + 128*y - 512/7 = 0. Calculate y.
-2, 2/3, 4
Determine u so that -2*u**3/9 + 4*u**2/3 - 2*u + 8/9 = 0.
1, 4
Factor -2*f**4/9 - 21424*f**3/9 - 28686736*f**2/3 - 153646158016*f/9 - 102866102791712/9.
-2*(f + 2678)**4/9
Find z such that -3*z**2 + 48*z - 192 = 0.
8
Solve -x**4/5 - 3*x**3/5 + 4*x**2/5 = 0.
-4, 0, 1
Solve 4*b**3/5 - 48*b**2/5 - 92*b + 504/5 = 0 for b.
-7, 1, 18
Find j, given that 9*j**5 + 77*j**4 + 729*j**3/4 + 65*j**2 - 36*j - 16 = 0.
-4, -1/2, 4/9
Let -3*m**5 + 839*m**4/3 - 8711*m**3 + 91295*m**2 - 59582*m/3 = 0. What is m?
0, 2/9, 31
Determine o, given that 16*o**4/3 + 1460*o**3/3 - 1108*o**2/3 - 368*o/3 = 0.
-92, -1/4, 0, 1
Solve 4*f**2 + 24*f = 0.
-6, 0
Factor 7*c**2/5 - 22*c - 32/5.
(c - 16)*(7*c + 2)/5
Factor w**2/6 + 107*w/3 + 211/2.
(w + 3)*(w + 211)/6
Suppose j**5 + 19*j**4 + 66*j**3 + 94*j**2 + 61*j + 15 = 0. What is j?
-15, -1
Factor -3*m**4/4 - 393*m**3/4 - 4257*m**2 - 59532*m + 63888.
-3*(m - 1)*(m + 44)**3/4
Factor 4*l**3 + 3604*l**2 + 14368*l + 14352.
4*(l + 2)**2*(l + 897)
Factor 3*y**4/5 + 17*y**3/10 + 3*y**2/2 + 3*y/10 - 1/10.
(y + 1)**3*(6*y - 1)/10
Factor -h**2/2 + 10*h - 19/2.
-(h - 19)