 5*r**4/4 + 19*r**3/4 - 11*r**2/4 = 0.
-11/3, 0, 1
Factor -5*n**4 - 145*n**3 - 735*n**2 - 1055*n - 460.
-5*(n + 1)**2*(n + 4)*(n + 23)
Factor -128*u**4 + 32*u**3 + 72*u**2 + 22*u + 2.
-2*(u - 1)*(4*u + 1)**3
Suppose -3*s**4/5 - 48*s**3/5 - 12*s**2 + 336*s/5 = 0. Calculate s.
-14, -4, 0, 2
Factor a**4/3 - 2*a**2 + 8*a/3 - 1.
(a - 1)**3*(a + 3)/3
Find q, given that -64*q**5 + 32*q**4 + 156*q**3 - 40*q**2 - 100*q = 0.
-1, 0, 5/4
What is s in -2*s**5/5 + 31*s**4/5 - 12*s**3/5 - 46*s**2/5 + 14*s/5 + 3 = 0?
-1, -1/2, 1, 15
Factor 4*m**3 - 76*m**2.
4*m**2*(m - 19)
Factor -2*p**2/9 - 8*p/3 - 8.
-2*(p + 6)**2/9
Factor -3*b**2 + 834*b + 1680.
-3*(b - 280)*(b + 2)
Solve m**5/4 + 23*m**4/4 - 25*m**3/4 - 23*m**2/4 + 6*m = 0 for m.
-24, -1, 0, 1
Factor -g**5 - 10*g**4 - 29*g**3 - 32*g**2 - 12*g.
-g*(g + 1)**2*(g + 2)*(g + 6)
Find f such that -f**2/11 + 95*f/11 - 186/11 = 0.
2, 93
Determine i, given that -4*i**5 + 16*i**4 - 16*i**3 = 0.
0, 2
Solve -x**3/3 + x**2/3 + 24*x = 0 for x.
-8, 0, 9
Determine w, given that -w**4 - 4*w**3 + w**2 + 4*w = 0.
-4, -1, 0, 1
Determine n, given that 8*n**5/3 + 124*n**4/3 + 1273*n**3/6 + 773*n**2/2 + 156*n + 18 = 0.
-6, -3, -1/4
Solve -3*r**2/4 - 6189*r - 12767907 = 0 for r.
-4126
Suppose -2*b**4/3 - 52*b**3/3 - 386*b**2/3 - 208*b - 96 = 0. Calculate b.
-12, -1
Determine v so that 5*v**4 - 230*v**3 - 235*v**2 = 0.
-1, 0, 47
Factor -v**5/2 + 166*v**4 - 659*v**3 + 986*v**2 - 1313*v/2 + 164.
-(v - 328)*(v - 1)**4/2
Solve -20*j**4 + 4*j**3 + 60*j**2 - 52*j + 8 = 0.
-2, 1/5, 1
Solve d**2/6 + 5*d + 75/2 = 0.
-15
Let -147*d**5/2 - 2583*d**4/2 - 6600*d**3 - 8166*d**2 - 3168*d - 384 = 0. What is d?
-8, -1, -2/7
Determine m, given that -3*m**2/5 + 969*m/5 = 0.
0, 323
Solve 5*h**2 - 10580*h + 5596820 = 0.
1058
Solve 5*f**3 - 2860*f**2 + 408980*f = 0.
0, 286
Let 2*p**2/9 + 26*p/9 + 8/3 = 0. What is p?
-12, -1
Let -3*m**5/7 - 90*m**4/7 - 675*m**3/7 = 0. What is m?
-15, 0
Factor 4*a**3 + 16*a**2 - 60*a - 72.
4*(a - 3)*(a + 1)*(a + 6)
Solve 34*b**3/9 - 1322*b**2/9 + 1136*b/9 + 152/9 = 0 for b.
-2/17, 1, 38
Factor -3*a**3 + 450*a**2 + 459*a - 906.
-3*(a - 151)*(a - 1)*(a + 2)
Solve 2*g**2/3 - 2204*g/3 = 0 for g.
0, 1102
What is q in 15*q**4 + 25*q**3 - 20*q**2 - 20*q = 0?
-2, -2/3, 0, 1
Factor -2*l**5 - 4*l**4 + 4*l**2 + 2*l.
-2*l*(l - 1)*(l + 1)**3
Solve 16*x**5 + 176*x**4 + 276*x**3 - 128*x**2 - 172*x + 72 = 0.
-9, -2, -1, 1/2
Solve -a**2 - 183*a - 2672 = 0 for a.
-167, -16
Factor -i**3/6 + 15011*i**2/6 - 9387504*i - 9390006.
-(i - 7506)**2*(i + 1)/6
Determine i so that -4*i**3 - 204*i**2 + 208*i = 0.
-52, 0, 1
Factor d**2/5 + 344*d/5 + 29584/5.
(d + 172)**2/5
Factor -y**4/7 + 13*y**3/7 + 48*y**2/7.
-y**2*(y - 16)*(y + 3)/7
Find c such that 2*c**2/3 + 182*c/3 + 232 = 0.
-87, -4
Determine s so that s**3/2 + 11*s**2/2 + 17*s + 12 = 0.
-6, -4, -1
Determine t so that 5*t**5/2 + 25*t**4 + 65*t**3 - 40*t**2 - 615*t/2 - 225 = 0.
-5, -3, -1, 2
Factor 2*s**2/5 + 8*s/5 + 8/5.
2*(s + 2)**2/5
Suppose 55*y**3/3 - 250*y**2/3 + 95*y - 30 = 0. Calculate y.
6/11, 1, 3
Factor 2*f**3/5 - 5946*f**2/5 + 5892486*f/5 - 1946484542/5.
2*(f - 991)**3/5
Factor 2*h**2/3 + 20*h/3 - 16.
2*(h - 2)*(h + 12)/3
Suppose -48*s**5 - 190*s**4 - 178*s**3 + 32*s**2 + 24*s = 0. Calculate s.
-2, -1/3, 0, 3/8
Factor q**3/3 - 246*q**2 + 245*q + 1474/3.
(q - 737)*(q - 2)*(q + 1)/3
Suppose -1058*p**2 - 184*p - 8 = 0. What is p?
-2/23
Factor 5*z**4/2 + 5*z**3/2 - 15*z**2/2 - 5*z/2 + 5.
5*(z - 1)**2*(z + 1)*(z + 2)/2
Solve -2*q**4 - 1288*q**3 - 277344*q**2 - 20150240*q - 39201376 = 0 for q.
-214, -2
Find a such that -4*a**3/5 + 46*a**2/15 - 8*a/3 - 8/15 = 0.
-1/6, 2
Suppose -2*n**4/15 + 4*n**3/3 + 122*n**2/5 - 416*n/15 - 152/3 = 0. Calculate n.
-10, -1, 2, 19
Factor 202*d**2/5 + 198*d/5 - 4/5.
2*(d + 1)*(101*d - 2)/5
Factor -2*h**4/9 + 2*h**3/9 + 2*h**2/9 - 2*h/9.
-2*h*(h - 1)**2*(h + 1)/9
Factor -2*q**3/3 + 98*q**2/3 - 532*q/3 + 688/3.
-2*(q - 43)*(q - 4)*(q - 2)/3
Factor -k**4 - 10*k**3 - 24*k**2 + 10*k + 25.
-(k - 1)*(k + 1)*(k + 5)**2
Factor c**2 + 162*c - 163.
(c - 1)*(c + 163)
Let 4*w**3 + 312*w**2 - 316*w = 0. Calculate w.
-79, 0, 1
Let 16*o**5 - 188*o**4 + 112*o**3 + 232*o**2 - 128*o - 44 = 0. What is o?
-1, -1/4, 1, 11
Factor 2*f**2 - 3392*f + 3390.
2*(f - 1695)*(f - 1)
Find f such that 2*f**2/3 - 184*f - 554/3 = 0.
-1, 277
Factor 2*f**2/3 + 134*f/3 + 1484/3.
2*(f + 14)*(f + 53)/3
Find p such that -2*p**5/3 - 34*p**4/3 + 4*p**3/3 + 68*p**2/3 - 2*p/3 - 34/3 = 0.
-17, -1, 1
Factor 2*a**4/7 + 18*a**3/7 + 2*a**2 - 18*a/7 - 16/7.
2*(a - 1)*(a + 1)**2*(a + 8)/7
Let -3*c**5/7 - 60*c**4/7 - 279*c**3/7 - 390*c**2/7 - 24*c = 0. Calculate c.
-14, -4, -1, 0
Factor -d**3/4 - 85*d**2/4 + 89*d.
-d*(d - 4)*(d + 89)/4
Suppose v**5 - 3*v**4 + 2*v**3 + 2*v**2 - 3*v + 1 = 0. Calculate v.
-1, 1
Factor 2*j**3 - 2*j**2 - 80*j + 224.
2*(j - 4)**2*(j + 7)
Factor 2*i**3/3 + 142*i**2/3 + 278*i/3 + 46.
2*(i + 1)**2*(i + 69)/3
Factor t**2/3 + 8*t/3 + 5.
(t + 3)*(t + 5)/3
Factor 2*r**5 - 4*r**4 - 6*r**3 + 16*r**2 - 8*r.
2*r*(r - 2)*(r - 1)**2*(r + 2)
Determine g so that -4*g**4 - 12*g**3 + 92*g**2 - 132*g + 56 = 0.
-7, 1, 2
Factor -y**4/8 + 13*y**3 - 1587*y**2/4 + 3055*y - 55225/8.
-(y - 47)**2*(y - 5)**2/8
Factor 80*f**4 - 280*f**3 + 165*f**2 + 140*f + 20.
5*(f - 2)**2*(4*f + 1)**2
Find w such that 2*w**5 + 50*w**4 - 110*w**3 - 50*w**2 + 108*w = 0.
-27, -1, 0, 1, 2
Factor -2*l**2/3 + 1702*l/3 - 1132.
-2*(l - 849)*(l - 2)/3
Determine w so that -2*w**3/9 - 2*w**2/3 + 8/9 = 0.
-2, 1
What is n in -2*n**2 + 220*n - 6050 = 0?
55
Determine b, given that -2*b**5/13 - 472*b**4/13 - 26888*b**3/13 + 113280*b**2/13 - 115200*b/13 = 0.
-120, 0, 2
Determine q, given that 2*q**4/5 - 868*q**3/5 + 95898*q**2/5 - 74648*q + 73960 = 0.
2, 215
Solve -12*l**5 + 1582*l**4 - 4330*l**3 - 7222*l**2 - 266*l + 1032 = 0.
-1, -1/2, 1/3, 4, 129
Factor -3*o**3/7 - 65*o**2/7 - 6*o.
-o*(o + 21)*(3*o + 2)/7
Factor -2*g**3/3 - 62*g**2/3 - 476*g/3.
-2*g*(g + 14)*(g + 17)/3
Factor -3*d**2 + 15*d + 1500.
-3*(d - 25)*(d + 20)
Factor 2*o**3 + 624*o**2 + 64896*o + 2249728.
2*(o + 104)**3
Solve -2*z**3 + 14*z**2 + 288*z = 0.
-9, 0, 16
Find x such that -2*x**5/15 + 4*x**4/15 + 8*x**3/15 - 4*x**2/15 - 2*x/5 = 0.
-1, 0, 1, 3
Factor c**3/3 + 68*c**2/3 + 260*c/3 + 256/3.
(c + 2)**2*(c + 64)/3
Factor 5*t**4 - 5*t**3 - 20*t**2 + 20*t.
5*t*(t - 2)*(t - 1)*(t + 2)
Determine w so that 3*w**2 + 375*w - 1950 = 0.
-130, 5
Suppose -s**2/6 + 1415*s/6 - 707/3 = 0. What is s?
1, 1414
Let j**2/5 + 1264*j/5 + 399424/5 = 0. Calculate j.
-632
Determine p, given that 2*p**3 - 292*p**2 - 590*p - 296 = 0.
-1, 148
Find o such that 18*o**4 + 808*o**3/5 + 374*o**2/5 - 320*o + 328/5 = 0.
-41/5, -2, 2/9, 1
Solve -3*l**5/7 + 246*l**4/7 + 762*l**3/7 + 264*l**2/7 - 759*l/7 - 510/7 = 0.
-2, -1, 1, 85
Find o, given that -5*o**3/2 - 9615*o**2/2 - 6163215*o/2 - 1316873605/2 = 0.
-641
Find c, given that -2*c**5 - 113*c**4/2 - 344*c**3 + 1635*c**2/2 + 225*c = 0.
-15, -1/4, 0, 2
Factor -2*y**4 + 8*y**3 + 24*y**2.
-2*y**2*(y - 6)*(y + 2)
Factor -t**5/5 - t**4/5 + 24*t**3/5 + 88*t**2/5 + 112*t/5 + 48/5.
-(t - 6)*(t + 1)*(t + 2)**3/5
Determine x so that -4*x**4/5 + 172*x**3/5 - 208*x**2 + 1088*x/5 + 2304/5 = 0.
-1, 4, 36
Find o such that -2*o**3 + 48*o**2 + 2*o - 48 = 0.
-1, 1, 24
Find m, given that -1014*m**4 - 1456*m**3 - 298*m**2 + 136*m - 8 = 0.
-1, -2/3, 1/13, 2/13
Determine w, given that -3*w**2/8 - 1389*w/8 + 1395/4 = 0.
-465, 2
Factor -4*h**3 - 40*h**2 - 12*h + 216.
-4*(h - 2)*(h + 3)*(h + 9)
Factor -14*l**3/5 + 319*l**2/5 - 582*l/5.
-l*(l - 2)*(14*l - 291)/5
Factor 2*g**3 + 34*g**2 - 76*g.
2*g*(g - 2)*(g + 19)
Factor -20*j**4 - 155*j**3 + 220*j**2 - 45*j.
-5*j*(j - 1)*(j + 9)*(4*j - 1)
Solve 25*k**5 - 110*k**4 - 660*k**3 - 520*k**2 + 320*k = 0 for k.
-2, 0, 2/5, 8
Suppose 4*r**4/5 + 2684*r**3/5 + 120420*r**2 + 45551764*r/5 + 88716536/5 = 0. What is r?
-223, -2
Factor -2*v**3/21 + 32*v/21.
-2*v*(v - 4)*(v + 4)/21
Factor -484*d**3/3 - 6952*d**2/3 - 2480*d/3 - 224/3.
-4*(d + 14)*(11*d + 2)**2/3
Factor k**4/2 - 8*k**3 + 45*k**2/2 + 81*k.
k*(k - 9)**2*(k + 2)/2
Suppose o**3 - 86*o**2 - 651*o = 0. Calculate o.
-7, 0, 93
Factor u**2/3 + 19*u/3 - 40.
(u - 5)*(u + 24)/3
Suppose r**2/4 - 9*r/2 - 400 = 0. What is r?
-32, 50
Solve -5*d**4 - 110*d**3 - 700*d**2 - 1000*d = 0.
-10, -2, 0
Fac