Factor -3*o**2/5 - 762*o/5 - 759/5.
-3*(o + 1)*(o + 253)/5
Factor 2*s**4/3 - 8*s**3 + 22*s**2/3.
2*s**2*(s - 11)*(s - 1)/3
Factor 93*l**4 - 277*l**3 - 843*l**2 - 483*l - 10.
(l - 5)*(l + 1)**2*(93*l + 2)
Factor w**4/3 + 4*w**3 - 118*w**2/3 + 92*w - 57.
(w - 3)**2*(w - 1)*(w + 19)/3
Determine u so that -4*u**4 + 256*u**2 = 0.
-8, 0, 8
Factor -x**5 - 146*x**4 + 296*x**3 - 2*x**2 - 295*x + 148.
-(x - 1)**3*(x + 1)*(x + 148)
Factor v**2/5 + 23*v + 114/5.
(v + 1)*(v + 114)/5
Factor -20*i**3 - 195*i**2 + 830*i - 195.
-5*(i - 3)*(i + 13)*(4*i - 1)
Solve -u**5/2 + 25*u**4 + 229*u**3 + 178*u**2 - 457*u/2 - 203 = 0.
-7, -1, 1, 58
Let -3*w**3/7 - 2904*w**2/7 - 17343*w/7 - 25974/7 = 0. Calculate w.
-962, -3
Let x**2 + 2*x - 1155 = 0. What is x?
-35, 33
Determine o, given that -o**4 - 46*o**3 + 147*o**2 - 4*o - 196 = 0.
-49, -1, 2
Factor -2*h**3/15 - 46*h**2/15 + 2*h/15 + 46/15.
-2*(h - 1)*(h + 1)*(h + 23)/15
Let 11*d**5/6 + 53*d**4/6 - 7*d**3/2 - 53*d**2/6 + 5*d/3 = 0. Calculate d.
-5, -1, 0, 2/11, 1
Factor 3*d**2/5 - 31*d/5 - 22/5.
(d - 11)*(3*d + 2)/5
Factor -4*w**4 + 16*w**3 - 4*w**2 - 24*w.
-4*w*(w - 3)*(w - 2)*(w + 1)
Factor o**2/3 + o - 28/3.
(o - 4)*(o + 7)/3
Factor -3*a**3/5 + 2238*a**2/5 + 897*a + 2244/5.
-3*(a - 748)*(a + 1)**2/5
Factor z**4 - 24*z**3 - 78*z**2 - 80*z - 27.
(z - 27)*(z + 1)**3
Factor 2*r**5 - 16*r**4 - 40*r**3.
2*r**3*(r - 10)*(r + 2)
Factor 3*q**5 - 26*q**4 + 54*q**3 - 36*q**2 - q + 6.
(q - 6)*(q - 1)**3*(3*q + 1)
Solve -3*d**2/4 + 69*d/4 = 0 for d.
0, 23
Factor 49*q**3/5 - 1211*q**2/5 + 9591*q/5 - 4761.
(q - 5)*(7*q - 69)**2/5
Factor -f**2/4 - 37*f/4 + 19/2.
-(f - 1)*(f + 38)/4
Factor -2*i**2/9 - 8644*i/9 - 9339842/9.
-2*(i + 2161)**2/9
Determine w, given that -9*w**4/4 + 291*w**3/4 + 507*w**2/4 + 105*w/4 - 51/2 = 0.
-1, 1/3, 34
Factor -2*a**2/13 + 24*a/13 - 22/13.
-2*(a - 11)*(a - 1)/13
Let 2*z**4 + 196*z**3 - 2*z**2 - 196*z = 0. What is z?
-98, -1, 0, 1
Find q, given that 27*q**5 - 3654*q**4 - 30183*q**3 + 83694*q**2 - 67044*q + 17160 = 0.
-10, 2/3, 1, 143
Factor 4*z**3 + 1152*z**2 + 110592*z + 3538944.
4*(z + 96)**3
What is c in -16*c**5 - 204*c**4 - 812*c**3 - 1256*c**2 - 528*c + 224 = 0?
-7, -2, 1/4
Factor 14*s**3/9 - 724*s**2/9 + 1192*s/9 + 400/9.
2*(s - 50)*(s - 2)*(7*s + 2)/9
Factor -s**2/7 - 66*s/7 - 248/7.
-(s + 4)*(s + 62)/7
Determine y, given that -5*y**4/6 - 5*y**3/3 + 50*y**2 - 460*y/3 + 400/3 = 0.
-10, 2, 4
Solve -n**5/5 - 16*n**4/5 = 0.
-16, 0
Factor -d**4/2 - 35*d**3/2 + 6*d**2 + 202*d - 280.
-(d - 2)**2*(d + 4)*(d + 35)/2
Suppose 2*v**3 + 3434*v**2 = 0. Calculate v.
-1717, 0
Factor -2*y**3/3 - 4*y**2.
-2*y**2*(y + 6)/3
Find k, given that 3*k**4 - 606*k**3 - 612*k**2 + 606*k + 609 = 0.
-1, 1, 203
Determine m so that m**4/2 - 6*m**3 + 18*m**2 - 16*m = 0.
0, 2, 8
Suppose 5*y**3 - 90*y**2 + 475*y - 630 = 0. What is y?
2, 7, 9
Suppose 4*z**2 + 152*z + 1120 = 0. What is z?
-28, -10
Factor 2*j**2/11 - 236*j/11 + 4370/11.
2*(j - 95)*(j - 23)/11
Let l**2/4 + l/4 - 14 = 0. What is l?
-8, 7
Find v, given that 15*v**5 - 400*v**4 - 1485*v**3 - 450*v**2 = 0.
-3, -1/3, 0, 30
Solve -o**5/2 - 13*o**4/2 - 5*o**3 + 12*o**2 = 0 for o.
-12, -2, 0, 1
Suppose -u**5/3 + 3*u**4/2 + 7*u**3/2 - 8*u**2/3 - 2*u = 0. What is u?
-2, -1/2, 0, 1, 6
Solve -2*x**2/7 + 52*x/7 - 96/7 = 0 for x.
2, 24
Find y such that -27*y**5/2 + 33*y**4/4 + 19*y**3/4 + y**2/2 = 0.
-2/9, -1/6, 0, 1
Find k such that -5*k**2 - 30*k + 80 = 0.
-8, 2
Factor 3*s**2 - 222*s - 1185.
3*(s - 79)*(s + 5)
Let 9*q**2 - 24*q - 9 = 0. Calculate q.
-1/3, 3
Solve -2*y**2 - 8*y = 0 for y.
-4, 0
Factor k**2 - 93*k - 94.
(k - 94)*(k + 1)
Determine u so that -2*u**4/9 - 376*u**3/9 - 5368*u**2/3 + 147392*u/9 - 307328/9 = 0.
-98, 4
What is r in r**2/4 + 120*r + 14400 = 0?
-240
Suppose -4*s**5 + 22*s**4 - 4*s**3 - 104*s**2 + 80*s + 64 = 0. Calculate s.
-2, -1/2, 2, 4
Suppose 4*n**2 - 4204*n - 4208 = 0. What is n?
-1, 1052
Factor 352947*w**3/4 - 708981*w**2/2 + 24723*w/4 - 27.
3*(w - 4)*(343*w - 3)**2/4
Find y such that -y**3/4 + 9*y**2 - 32*y = 0.
0, 4, 32
Factor -3*g**2 - 34080*g - 96787200.
-3*(g + 5680)**2
Factor -4*i**3 + 76*i**2 - 448*i + 768.
-4*(i - 8)**2*(i - 3)
Factor -x**3/4 + 161*x**2/4 - 1558*x - 5043.
-(x - 82)**2*(x + 3)/4
Factor 5*n**3 + 60*n**2 + 105*n - 490.
5*(n - 2)*(n + 7)**2
Solve -2*t**5/5 + 54*t**4/5 - 86*t**3 + 162*t**2 + 432*t/5 - 864/5 = 0.
-1, 1, 3, 12
Suppose r**5 + r**4 - 8*r**3 - 8*r**2 + 16*r + 16 = 0. What is r?
-2, -1, 2
Determine i, given that -27*i**3/2 + 57*i**2/2 + 100*i/3 + 8 = 0.
-4/9, 3
Let 9*q**5/5 + 87*q**4 + 558*q**3/5 - 294*q**2/5 - 567*q/5 - 141/5 = 0. Calculate q.
-47, -1, -1/3, 1
Suppose 4*u**2 - 108*u - 112 = 0. What is u?
-1, 28
What is c in 108*c**2 + 224*c + 16 = 0?
-2, -2/27
Determine v so that -3*v**2/2 + 81*v/2 + 42 = 0.
-1, 28
Let -r**4 + 8*r**3 + 9*r**2 = 0. What is r?
-1, 0, 9
Solve 3*o**5 + 18*o**4 - 162*o**2 - 243*o = 0 for o.
-3, 0, 3
Suppose -v**4 - 16*v**3 - 78*v**2 - 80*v + 175 = 0. What is v?
-7, -5, 1
Solve -5*q**2/3 - 3752*q/3 - 500 = 0.
-750, -2/5
Factor -4*w**4/7 + 4*w**3/7 + 8*w**2/7.
-4*w**2*(w - 2)*(w + 1)/7
Factor -n**2/4 - 2*n - 7/4.
-(n + 1)*(n + 7)/4
Let 5*o**3 + 35*o**2 + 80*o + 60 = 0. Calculate o.
-3, -2
What is v in 12*v**4/5 - 108*v**3/5 + 303*v**2/5 - 252*v/5 = 0?
0, 3/2, 7/2, 4
Find o, given that 4*o**3 + 33*o**2 + 59*o + 30 = 0.
-6, -5/4, -1
Factor 3*q**2/7 - 111*q/7.
3*q*(q - 37)/7
Suppose -5*c**3 + 35*c**2 - 40*c - 80 = 0. What is c?
-1, 4
Find u, given that 8*u**5 + 62*u**4 + 128*u**3 - 36*u**2 - 216*u + 54 = 0.
-3, 1/4, 1
Suppose 3*i**5 - 11*i**4/2 + 2*i**3 + i**2/2 = 0. Calculate i.
-1/6, 0, 1
Factor v**2/4 - 7*v/2 - 18.
(v - 18)*(v + 4)/4
Determine v so that 2*v**3 - 15*v**2/2 + 6*v + 2 = 0.
-1/4, 2
Factor 3*n**2/4 + 9*n - 255/4.
3*(n - 5)*(n + 17)/4
Factor 2*v**3/3 + 740*v**2/3 + 22568*v - 46128.
2*(v - 2)*(v + 186)**2/3
Determine f so that 5*f**5 + 40*f**4 - 95*f**3 + 50*f**2 = 0.
-10, 0, 1
Solve 3*p**4/4 - 15*p**3/4 - 3*p**2/4 + 15*p/4 = 0 for p.
-1, 0, 1, 5
Solve -k**3/3 - 2794*k**2/3 + 2795*k/3 = 0.
-2795, 0, 1
Factor 4*s**2/5 - 312*s/5 - 1312/5.
4*(s - 82)*(s + 4)/5
Factor 50*u**2/9 - 620*u/9 + 1922/9.
2*(5*u - 31)**2/9
Find u such that -98*u**5 - 938*u**4 - 512*u**3 - 72*u**2 = 0.
-9, -2/7, 0
Let -2*n**3 + 280*n**2 + 2950*n + 7500 = 0. What is n?
-5, 150
Factor -2*v**3/9 + 86*v**2/9 + 856*v/9 - 680/3.
-2*(v - 51)*(v - 2)*(v + 10)/9
Solve 2*c**2/7 + 68*c/7 + 78 = 0 for c.
-21, -13
Suppose -f**2 + 7864*f - 15460624 = 0. Calculate f.
3932
Determine v, given that 5*v**2 - 6035*v + 6030 = 0.
1, 1206
Factor -2*i**2/17 + 126*i/17 + 40.
-2*(i - 68)*(i + 5)/17
What is r in 5*r**3 + 115*r**2 + 455*r - 2535 = 0?
-13, 3
Determine k, given that 2*k**2/3 + 640*k/3 - 1288/3 = 0.
-322, 2
Factor -2*x**4/7 + 22*x**3/7 - 10*x**2 + 50*x/7.
-2*x*(x - 5)**2*(x - 1)/7
Factor 3*c**4 - 315*c**3 + 11025*c**2 - 128625*c.
3*c*(c - 35)**3
Determine p so that -2*p**2/11 + 334*p/11 + 336/11 = 0.
-1, 168
Suppose y**2 + 16*y + 15 = 0. What is y?
-15, -1
Factor 2*x**3 - 24*x**2 + 96*x - 128.
2*(x - 4)**3
Factor -2*u**4 - 76*u**3 - 192*u**2 + 11520*u.
-2*u*(u - 10)*(u + 24)**2
Factor 16*j**2/5 + 36*j + 44/5.
4*(j + 11)*(4*j + 1)/5
Factor -m**3 - 9*m**2 - 14*m + 24.
-(m - 1)*(m + 4)*(m + 6)
Factor 2*u**3/7 - 154*u**2 - 1080*u/7.
2*u*(u - 540)*(u + 1)/7
Factor -2304*m**5 + 4320*m**4 - 2505*m**3 + 950*m**2/3 + 220*m/3 + 8/3.
-(3*m - 2)**3*(16*m + 1)**2/3
Determine m so that 2*m**3/15 + 4*m**2/15 - 614*m/15 + 608/15 = 0.
-19, 1, 16
Determine l so that 3*l**5 - 6*l**4 - 144*l**3 - 366*l**2 - 339*l - 108 = 0.
-4, -1, 9
Factor c**2/6 - 338*c/3 + 57122/3.
(c - 338)**2/6
Suppose 3*v**2 + 102*v - 1008 = 0. What is v?
-42, 8
Determine s so that 3*s**2/4 - 60*s = 0.
0, 80
Factor 13122*s**4 + 1458*s**3 - 486*s**2 - 90*s - 4.
2*(9*s - 2)*(9*s + 1)**3
Let p**3/5 + 546*p**2/5 - 547*p/5 = 0. Calculate p.
-547, 0, 1
Find x, given that 2*x**3/5 - 18*x**2/5 - 4*x = 0.
-1, 0, 10
Determine q so that -10*q**5/7 - 234*q**4/7 - 272*q**3/7 + 848*q**2/7 + 1248*q/7 + 352/7 = 0.
-22, -2, -1, -2/5, 2
Factor -4*p**3 - 108*p**2 - 204*p - 100.
-4*(p + 1)**2*(p + 25)
Factor 14*s**4 + 214*s**3 + 424*s**2 + 104*s.
2*s*(s + 2)*(s + 13)*(7*s + 2)
Find l such that -5*l**2 + 410*l - 800 = 0.
2, 80
Determine s so that -5*s**2 + 385*s - 380 = 0.
1, 76
Find x, gi