2)**2/3
Solve -4*s**2/3 + 64*s/3 = 0.
0, 16
Let d**3/10 + 9*d**2/5 + 6*d - 20 = 0. What is d?
-10, 2
Factor -3*m**2 - 3*m + 60.
-3*(m - 4)*(m + 5)
Solve h**5 + 16*h**4 + 60*h**3 - 64*h**2 - 256*h = 0.
-8, -2, 0, 2
Find k such that -k**5/5 - 3*k**4 + 42*k**3/5 + 136*k**2/5 = 0.
-17, -2, 0, 4
Factor -6*l**3/11 + 26298*l**2/11 - 38421378*l/11 + 18711211086/11.
-6*(l - 1461)**3/11
Factor -2*x**4 - 76*x**3 - 144*x**2.
-2*x**2*(x + 2)*(x + 36)
Let 2*b**4/5 + 108*b**3/5 + 208*b**2/5 = 0. What is b?
-52, -2, 0
Find w such that -4*w**5 + 760*w**4 - 3000*w**3 + 4480*w**2 - 2980*w + 744 = 0.
1, 186
Determine s so that s**5 + s**4/2 - 3*s**3/2 - s**2/2 + s/2 = 0.
-1, 0, 1/2, 1
Factor -5*n**2/4 + 213*n/4 + 43/2.
-(n - 43)*(5*n + 2)/4
Factor -4*n**3 + 252*n**2 + 516*n + 260.
-4*(n - 65)*(n + 1)**2
Factor -2*m**2/11 - 1642*m/11 + 1644/11.
-2*(m - 1)*(m + 822)/11
Factor 4*k**2 - 6288*k - 6292.
4*(k - 1573)*(k + 1)
Factor 2*k**2/9 + 2*k/3 - 20/9.
2*(k - 2)*(k + 5)/9
Suppose -5*f**2 + 150*f + 320 = 0. What is f?
-2, 32
Factor r**4/2 - 7*r**3/2 - 4*r**2.
r**2*(r - 8)*(r + 1)/2
Factor s**2/2 - 3*s - 315/2.
(s - 21)*(s + 15)/2
Factor l**2/2 - 15*l/2 - 17.
(l - 17)*(l + 2)/2
Suppose l**3/9 + 146*l**2/3 + 97*l + 436/9 = 0. What is l?
-436, -1
Let -3*l**3 + 13*l**2/2 - l = 0. What is l?
0, 1/6, 2
Factor -y**3/3 + y**2/3 + 2*y/3.
-y*(y - 2)*(y + 1)/3
Factor -3*n**3 - 30*n**2 - 96*n - 96.
-3*(n + 2)*(n + 4)**2
Let 6*p**3/5 + 22*p**2/5 + 12*p/5 = 0. Calculate p.
-3, -2/3, 0
Factor -c**2/6 - 25*c/6 + 9.
-(c - 2)*(c + 27)/6
Factor 2*m**3/15 - 22*m**2/15 - 148*m/15 - 64/5.
2*(m - 16)*(m + 2)*(m + 3)/15
Factor -2*n**2/7 - 76*n/7 + 78/7.
-2*(n - 1)*(n + 39)/7
Factor j**2/3 - 65*j/3 + 64/3.
(j - 64)*(j - 1)/3
Factor -58*i**2 + 62*i - 4.
-2*(i - 1)*(29*i - 2)
Suppose -2*i**3 - 32*i**2 + 78*i + 108 = 0. Calculate i.
-18, -1, 3
Suppose q**3/3 - 8*q**2/3 + 7*q/3 = 0. What is q?
0, 1, 7
Let 5*f**5 - 75*f**4 - 3210*f**3 + 48950*f**2 + 107205*f + 55125 = 0. What is f?
-25, -1, 21
What is v in 3*v**3 + 75*v**2 + 342*v = 0?
-19, -6, 0
Factor 1029*r**4 + 6762*r**3 - 31248*r**2 + 38784*r - 15360.
3*(r + 10)*(7*r - 8)**3
Factor 4*a**2 + 668*a + 664.
4*(a + 1)*(a + 166)
Factor 3*y**2 - 423*y.
3*y*(y - 141)
Let -y**4/4 + y**3/4 + y**2/2 = 0. Calculate y.
-1, 0, 2
Factor 2*d**2/3 - 78*d + 228.
2*(d - 114)*(d - 3)/3
Factor 2*s**2 - 1708*s - 1710.
2*(s - 855)*(s + 1)
Factor 3844*q**2/3 - 36704*q/3 + 87616/3.
4*(31*q - 148)**2/3
Let -5*p**4 + 360*p**3 - 8640*p**2 + 69120*p = 0. What is p?
0, 24
Factor -f**3 + 163*f**2/4 + 1169*f/4 + 141/2.
-(f - 47)*(f + 6)*(4*f + 1)/4
Suppose r**3/4 - 31*r**2 + 3445*r/4 + 12675/2 = 0. What is r?
-6, 65
Factor q**2/4 - 39*q/4.
q*(q - 39)/4
Factor 12*u**2 - 75*u - 63.
3*(u - 7)*(4*u + 3)
Suppose -15*n**4 + 12*n**3 + 42*n**2 - 12*n - 27 = 0. What is n?
-1, 1, 9/5
Let -8*n**3/9 - 106*n**2/9 + 132*n - 266 = 0. Calculate n.
-21, 3, 19/4
Factor 2*g**4/7 + 4*g**3 - 2*g**2/7 - 4*g.
2*g*(g - 1)*(g + 1)*(g + 14)/7
Factor 2*g**2 - 1624*g + 329672.
2*(g - 406)**2
What is i in -i**5/2 + 73*i**4 + 4*i**3 - 584*i**2 - 8*i + 1168 = 0?
-2, 2, 146
What is s in -5*s**2/4 + 317*s + 127 = 0?
-2/5, 254
Factor -3*m**2/2 + 177*m/2 - 171.
-3*(m - 57)*(m - 2)/2
Determine m so that -2*m**3/5 - 12*m**2 + 206*m/5 + 264/5 = 0.
-33, -1, 4
Factor 2*b**3/5 - 12*b**2/5 + 2*b.
2*b*(b - 5)*(b - 1)/5
Factor r**2/3 - 218*r/3 - 1115/3.
(r - 223)*(r + 5)/3
Suppose b**5/11 + 13*b**4/11 - 3*b**3/11 - 37*b**2/11 + 26*b/11 = 0. Calculate b.
-13, -2, 0, 1
Suppose -2*c**4 + 4*c**3 + 8*c**2 - 4*c - 6 = 0. What is c?
-1, 1, 3
Factor -a**4/3 + a**3/3.
-a**3*(a - 1)/3
Solve s**4 - 26*s**3 + 213*s**2 - 572*s + 484 = 0 for s.
2, 11
Solve s**5 - 10*s**4 - 3*s**3 + 32*s**2 - 20*s = 0.
-2, 0, 1, 10
Solve 3*q**2 + 27*q = 0 for q.
-9, 0
Let 2*w**2 + 94*w + 264 = 0. What is w?
-44, -3
Factor -2*q**3 - 162*q**2 + 164*q.
-2*q*(q - 1)*(q + 82)
Factor -2*n**3/5 + 3336*n**2/5 - 277554*n - 557780.
-2*(n - 835)**2*(n + 2)/5
Find a such that -5*a**5 + 15*a**4 + 235*a**3 - 255*a**2 - 230*a + 240 = 0.
-6, -1, 1, 8
Find z, given that -z**3 + 1721*z**2 = 0.
0, 1721
Factor 2*n**2/13 - 80*n/13 + 800/13.
2*(n - 20)**2/13
Suppose -h**4 - 577*h**3 = 0. What is h?
-577, 0
Factor 2*r**2/3 + 160*r/3 - 54.
2*(r - 1)*(r + 81)/3
Solve 4*m**2 - 13368*m + 13364 = 0 for m.
1, 3341
Find j such that -j**5/10 + 8*j**4/5 - 4*j**3 + j**2 + 41*j/10 - 13/5 = 0.
-1, 1, 2, 13
Let -d**4/3 - d**3 + 4*d**2 + 52*d/3 + 16 = 0. Calculate d.
-3, -2, 4
Suppose -9*r**4/5 + 12*r**3/5 + 21*r**2/5 - 12*r/5 - 12/5 = 0. What is r?
-1, -2/3, 1, 2
Factor -2*v**3 - 656*v**2 - 2600*v - 2592.
-2*(v + 2)**2*(v + 324)
Determine a so that 4*a**4 - 4*a**3 - 108*a**2 + 324*a - 216 = 0.
-6, 1, 3
Solve -3*b**3 - 504*b**2 + 3*b + 504 = 0.
-168, -1, 1
Let -2*x**5 + 10*x**4 - 2*x**3 - 26*x**2 + 4*x + 16 = 0. What is x?
-1, 1, 2, 4
Determine q so that 18*q**4 + 190*q**3 - 21196*q**2/9 + 9160*q/9 - 112 = 0.
-18, 2/9, 7
Factor -y**3 + 104*y**2 - 1925*y + 9922.
-(y - 82)*(y - 11)**2
Suppose -25*b**4 + 95*b**3 - 64*b**2 + 12*b = 0. What is b?
0, 2/5, 3
Factor 2*s**5 - 2*s**4 - 6*s**3 + 2*s**2 + 4*s.
2*s*(s - 2)*(s - 1)*(s + 1)**2
Factor 2*r**3 + 26*r**2 + 112*r + 160.
2*(r + 4)**2*(r + 5)
Factor 6*b**2/7 - 60*b + 5814/7.
6*(b - 51)*(b - 19)/7
What is m in -4*m**5 - 1372*m**4 - 108224*m**3 + 1647568*m**2 = 0?
-178, 0, 13
Find d, given that -4*d**4 + 132*d**3 - 452*d**2 - 420*d + 2088 = 0.
-2, 3, 29
Suppose 9*t**4/5 - 39*t**3/5 - 399*t**2/5 + 159*t/5 + 54 = 0. What is t?
-5, -2/3, 1, 9
Factor 5*l**3 + 60*l**2 + 55*l.
5*l*(l + 1)*(l + 11)
Determine n, given that 4*n**3 + 4888*n**2 + 1498160*n + 2976800 = 0.
-610, -2
Factor -2*d**2 + 1900*d - 451250.
-2*(d - 475)**2
Suppose -45*y**3/8 + 21*y**2 + 57*y/8 - 9/2 = 0. What is y?
-3/5, 1/3, 4
Factor 3*z**3 + 378*z**2 + 369*z - 750.
3*(z - 1)*(z + 2)*(z + 125)
Find o such that -3*o**5 + 30*o**4 + 72*o**3 + 6*o**2 - 69*o - 36 = 0.
-1, 1, 12
Solve 9*d**5 - 39*d**4 - 177*d**3 + 63*d**2 = 0 for d.
-3, 0, 1/3, 7
Factor 2*o**3 + 118*o**2/5 + 86*o/5 - 22/5.
2*(o + 1)*(o + 11)*(5*o - 1)/5
Factor -2*v**3/19 - 2*v**2/19 + 34*v/19 - 30/19.
-2*(v - 3)*(v - 1)*(v + 5)/19
What is n in -3*n**4/5 + 744*n**3/5 - 738*n**2/5 - 744*n/5 + 741/5 = 0?
-1, 1, 247
Let -5*b**3 + 4550*b**2 + 4555*b = 0. What is b?
-1, 0, 911
Determine d, given that 2*d**4 + 64*d**3/3 + 57*d**2/2 - 83*d/6 - 3 = 0.
-9, -2, -1/6, 1/2
Factor 3*y**3/2 + 138*y**2 + 273*y/2.
3*y*(y + 1)*(y + 91)/2
Let 6*n**3/7 + 26*n**2/7 + 8*n/7 = 0. What is n?
-4, -1/3, 0
Determine k so that 2*k**3/3 + 62*k**2/3 + 560*k/3 + 392 = 0.
-14, -3
Solve -21*b**4/5 - 258*b**3/5 - 681*b**2/5 - 552*b/5 - 108/5 = 0 for b.
-9, -2, -1, -2/7
Find s such that 3*s**3 + 102*s**2 + 756*s - 1944 = 0.
-18, 2
Factor -16*r**2 - 22*r/5.
-2*r*(40*r + 11)/5
Factor -k**3/2 + 13*k**2/2 + 29*k/2 + 15/2.
-(k - 15)*(k + 1)**2/2
Factor 5*w**2 + 1265*w - 2550.
5*(w - 2)*(w + 255)
Suppose i**5/3 + 362*i**4/3 + 14270*i**3 + 515124*i**2 - 4251249*i + 3721734 = 0. What is i?
-123, 1, 6
Determine d, given that 10*d**3/17 + 84*d**2/17 + 192*d/17 + 64/17 = 0.
-4, -2/5
What is c in 3*c**4 + 87*c**3 - 384*c**2 + 396*c = 0?
-33, 0, 2
Factor -2*v**4 - 85*v**3 + 46*v**2 + 129*v.
-v*(v + 1)*(v + 43)*(2*v - 3)
Let -3*s**2 + 723*s + 726 = 0. Calculate s.
-1, 242
Factor -3*t**4 + 261*t**3 - 5271*t**2 - 17685*t - 12150.
-3*(t - 45)**2*(t + 1)*(t + 2)
Factor -5*l**3 - 20*l**2 + 335*l + 350.
-5*(l - 7)*(l + 1)*(l + 10)
Suppose 2*q**2/13 - 2/13 = 0. What is q?
-1, 1
What is c in 2*c**3/15 - 18*c/5 - 36/5 = 0?
-3, 6
Factor 2*o**3/13 - 72*o**2/13 - 618*o/13 + 688/13.
2*(o - 43)*(o - 1)*(o + 8)/13
Factor -3*f**5 - 87*f**4 - 921*f**3 - 4401*f**2 - 9720*f - 8100.
-3*(f + 3)**3*(f + 10)**2
Suppose d**5/8 + d**4/2 = 0. Calculate d.
-4, 0
Determine l so that 5*l**3 + 5*l**2 - 165*l + 315 = 0.
-7, 3
Factor -5*o**4 - 60*o**3.
-5*o**3*(o + 12)
Find z, given that -2*z**3/7 - 200*z**2/7 - 1850*z/7 - 4500/7 = 0.
-90, -5
Solve 16*l**3/3 - 244*l**2/3 + 1064*l/3 - 980/3 = 0 for l.
5/4, 7
Suppose -4*z**5 - 4*z**4 + 84*z**3 - 188*z**2 + 160*z - 48 = 0. What is z?
-6, 1, 2
Factor -98*d**3/17 + 350*d**2/17 - 176*d/17 + 24/17.
-2*(d - 3)*(7*d - 2)**2/17
Factor -a**5/2 - 13*a**4/6 - 11*a**3/3 - 3*a**2 - 7*a/6 - 1/6.
-(a + 1)**4*(3*a + 1)/6
Suppose -2*n**3 - 2*n**2 + 16*n + 24 =