. Calculate c.
-1, 143
Suppose -8*q**5/7 + 22*q**4/7 - 4*q**3/7 - 22*q**2/7 + 12*q/7 = 0. What is q?
-1, 0, 3/4, 1, 2
Solve -5*h**5 - 1515*h**4 - 121395*h**3 - 1007765*h**2 - 2616600*h - 1728720 = 0.
-147, -4, -1
Factor 12*g**2 - 329*g - 196.
(g - 28)*(12*g + 7)
Factor 2*r**2/11 - 116*r/11 + 1682/11.
2*(r - 29)**2/11
Factor 4*f**4 - 4784*f**3 + 2145624*f**2 - 427694384*f + 31970155204.
4*(f - 299)**4
Solve -2*f**4/3 - 3*f**3/2 + 23*f**2 + 35*f/6 = 0 for f.
-7, -1/4, 0, 5
Solve j**4/3 - 17*j**3/3 + 17*j**2 + 17*j/3 - 52/3 = 0 for j.
-1, 1, 4, 13
Let p**3 - 5*p**2 - 4*p + 20 = 0. Calculate p.
-2, 2, 5
Determine u, given that -4*u**3/5 - 244*u**2/5 - 704*u/5 - 464/5 = 0.
-58, -2, -1
Suppose -4*k**4 - 8*k**3 + 4*k**2 + 8*k = 0. Calculate k.
-2, -1, 0, 1
Suppose p**2 - p/2 = 0. What is p?
0, 1/2
What is n in 15*n**5 + 81*n**4 - 255*n**3 - 1089*n**2 + 1860*n + 900 = 0?
-5, -2/5, 2, 3
Factor 4*b**4 - 348*b**3 - 12*b**2 + 1036*b + 696.
4*(b - 87)*(b - 2)*(b + 1)**2
Factor -a**2/6 + a/6 + 2.
-(a - 4)*(a + 3)/6
Factor -2*n**3/9 - 26*n**2/9 - 70*n/9 + 98/9.
-2*(n - 1)*(n + 7)**2/9
Solve 5*m**3 - 95*m**2 - 100*m = 0.
-1, 0, 20
Find h, given that 4*h**3 + 120*h**2 + 332*h + 216 = 0.
-27, -2, -1
Factor -4*z**3 - 240*z**2 + 244*z.
-4*z*(z - 1)*(z + 61)
Factor l**2 - 43*l + 450.
(l - 25)*(l - 18)
Determine n, given that -n**5/4 - 15*n**4/4 - 43*n**3/2 - 58*n**2 - 72*n - 32 = 0.
-4, -2, -1
What is s in 5*s**4 - 105*s**3 + 685*s**2 - 1395*s + 810 = 0?
1, 2, 9
Factor f**2/5 + 3*f/5.
f*(f + 3)/5
Determine a so that -2*a**3/5 - 16*a**2/5 - 2*a + 20 = 0.
-5, 2
Factor 16*z**3 - 292*z**2 - 232*z + 76.
4*(z - 19)*(z + 1)*(4*z - 1)
Let -3*g**2/2 - 33*g/2 + 90 = 0. What is g?
-15, 4
Suppose 4*l**3 - 1780*l**2 - 3572*l - 1788 = 0. What is l?
-1, 447
Find x such that x**5 - 39*x**4/2 - 102*x**3 + 1874*x**2 + 10176*x + 4608 = 0.
-6, -1/2, 16
Factor y**3/3 + 4*y**2/3 - 205*y/3 - 208/3.
(y - 13)*(y + 1)*(y + 16)/3
Let -4*g**2 - 328*g - 6724 = 0. What is g?
-41
Determine q, given that -q**2/3 + 655*q/3 = 0.
0, 655
Let 2*x**3/7 + 8*x**2/7 + 6*x/7 = 0. Calculate x.
-3, -1, 0
Determine j, given that j**3/6 - 211*j**2/3 + 44521*j/6 = 0.
0, 211
Let 64*b**5 + 544*b**4 + 868*b**3 - 792*b**2 - 1296*b + 864 = 0. Calculate b.
-6, -2, 3/4
Solve 3*x**2 + 54*x - 264 = 0.
-22, 4
Let -f**3/6 - 11*f**2/6 + f/6 + 11/6 = 0. Calculate f.
-11, -1, 1
Let 3*y**3/7 + 489*y**2/7 + 21528*y/7 + 18252 = 0. What is y?
-78, -7
Let 2*z**3/3 - 164*z**2/9 + 374*z/9 + 11560/9 = 0. What is z?
-20/3, 17
Factor 3*a**2/5 + 84*a + 2940.
3*(a + 70)**2/5
Factor -5*a**4 + 5*a**3 + 125*a**2 - 125*a.
-5*a*(a - 5)*(a - 1)*(a + 5)
Factor 3*c**3/2 + 8556*c**2 + 12200856*c.
3*c*(c + 2852)**2/2
Factor -5*b**3 + 75*b**2 + 80*b.
-5*b*(b - 16)*(b + 1)
Factor 4*i**2/3 + 1112*i/3 + 77284/3.
4*(i + 139)**2/3
Factor 4*x**2 - 32*x + 60.
4*(x - 5)*(x - 3)
Suppose 2*q**4 + 82*q**3 - 84*q**2 = 0. What is q?
-42, 0, 1
Let -3*y**5 + 108*y**4 + 342*y**3 + 348*y**2 + 117*y = 0. What is y?
-1, 0, 39
Find i such that -3*i**5/8 + 45*i**4/2 + 237*i**3/2 + 867*i**2/4 + 1359*i/8 + 195/4 = 0.
-2, -1, 65
Factor -o**2/6 + 3/2.
-(o - 3)*(o + 3)/6
Find r such that -4*r**2 - 132*r - 248 = 0.
-31, -2
Factor -g**4/2 + 9*g**3/2 + 11*g**2/2 - 9*g/2 - 5.
-(g - 10)*(g - 1)*(g + 1)**2/2
Suppose -b**4 + 158*b**3 - 6241*b**2 = 0. Calculate b.
0, 79
What is x in -x**5 + 2*x**4 + x**3 - 2*x**2 = 0?
-1, 0, 1, 2
Factor -2*x**4/9 + 2*x**3/3 + 26*x**2/9 - 10*x/3.
-2*x*(x - 5)*(x - 1)*(x + 3)/9
Factor 2*k**2/11 + 650*k/11 + 648/11.
2*(k + 1)*(k + 324)/11
Factor -l**4/2 + 97*l**3/2 - 2303*l**2/2 - 2401*l/2.
-l*(l - 49)**2*(l + 1)/2
Let -25*t**5 + 210*t**4 - 380*t**3 + 120*t**2 = 0. Calculate t.
0, 2/5, 2, 6
Factor 5*b**3 + 785*b**2 + 2260*b - 7700.
5*(b - 2)*(b + 5)*(b + 154)
Find a, given that -a**2/4 - 3471*a/2 - 12047841/4 = 0.
-3471
Let -1458*f**4/5 - 1566*f**3/5 - 22*f**2 - 2*f/5 = 0. What is f?
-1, -1/27, 0
Factor g**2/5 + 1641*g/5 + 3278/5.
(g + 2)*(g + 1639)/5
Solve -3*m**2 - 24*m + 99 = 0 for m.
-11, 3
Factor -5*o**4 - 105*o**3 - 520*o**2 - 420*o.
-5*o*(o + 1)*(o + 6)*(o + 14)
Factor 3*n**2 - 207*n - 648.
3*(n - 72)*(n + 3)
Determine w, given that -w**2/5 + 1098*w/5 - 301401/5 = 0.
549
What is t in -4*t**4 - 80*t**3 + 3212*t**2 - 20328*t = 0?
-42, 0, 11
Let -3*g**4/2 + 6*g**3 + 3*g**2/2 - 6*g = 0. Calculate g.
-1, 0, 1, 4
Solve -4*t**5/3 - 4*t**4/3 + 8*t**3 + 16*t**2/3 - 32*t/3 = 0.
-2, 0, 1, 2
Suppose -120*g**5 + 1550*g**4 - 5645*g**3 + 4010*g**2 - 60*g - 360 = 0. Calculate g.
-1/4, 1/2, 2/3, 6
Factor 5*n**3/4 + 85*n**2/4 + 155*n/4 + 75/4.
5*(n + 1)**2*(n + 15)/4
Determine p, given that p**4/4 + 13*p**3/2 - p**2/4 - 13*p/2 = 0.
-26, -1, 0, 1
What is o in 5*o**5 + 10*o**4 - 10*o**3 - 20*o**2 + 5*o + 10 = 0?
-2, -1, 1
Find i, given that -i**3 - 713*i**2/4 - 89*i/2 = 0.
-178, -1/4, 0
Suppose -2*g**4 + 41*g**3/2 + 1161*g**2 + 14905*g/2 - 1936 = 0. What is g?
-11, 1/4, 32
Suppose -18*r**2 - 976*r - 216 = 0. What is r?
-54, -2/9
Factor c**3/5 - 153*c**2/5 + 7803*c/5 - 132651/5.
(c - 51)**3/5
Factor -x**3/3 - 70*x**2/3 - 136*x/3.
-x*(x + 2)*(x + 68)/3
What is v in 3*v**3 - 18*v**2 + 96 = 0?
-2, 4
Find p such that 3*p**4 - 729*p**3/7 - 138*p**2 - 216*p/7 = 0.
-1, -2/7, 0, 36
Factor 5*h**2 - 385*h + 380.
5*(h - 76)*(h - 1)
Factor -3*f**4 - 12*f**3 + 18*f**2 + 108*f + 81.
-3*(f - 3)*(f + 1)*(f + 3)**2
Find b, given that 3*b**3/7 + 876*b**2/7 + 63948*b/7 = 0.
-146, 0
Let -g**4 + 16*g**3 - 28*g**2 = 0. Calculate g.
0, 2, 14
Let w**3/12 - 3*w**2/4 + w/2 + 4/3 = 0. Calculate w.
-1, 2, 8
Factor 5*h**5 - 110*h**4 + 780*h**3 - 1890*h**2 + 1215*h.
5*h*(h - 9)**2*(h - 3)*(h - 1)
Factor -3*c**5 - 156*c**4 - 3216*c**3 - 32832*c**2 - 165888*c - 331776.
-3*(c + 8)**2*(c + 12)**3
Factor y**2/4 - 3*y + 11/4.
(y - 11)*(y - 1)/4
Let r**3 + 20*r**2 - 67*r + 46 = 0. Calculate r.
-23, 1, 2
Solve -3*h**3 - 57*h**2 - 336*h - 576 = 0.
-8, -3
Suppose -2*y**4 + 6*y**2 + 4*y = 0. What is y?
-1, 0, 2
Factor b**2/3 + 52*b/3 - 53/3.
(b - 1)*(b + 53)/3
Solve y**3 + 56*y**2 - 59*y - 114 = 0.
-57, -1, 2
Factor h**2/3 - 145*h/3 - 250.
(h - 150)*(h + 5)/3
Factor 572907*l**3 + 1158924*l**2 + 26295*l + 150.
3*(l + 2)*(437*l + 5)**2
Let 3*u**2/7 - 108*u = 0. Calculate u.
0, 252
Suppose d**4 + 50*d**3 + 184*d**2 = 0. What is d?
-46, -4, 0
Factor -5*u**4 + 70*u**3 - 225*u**2 + 260*u - 100.
-5*(u - 10)*(u - 2)*(u - 1)**2
Suppose 3*m**3 + 8343*m**2 + 8340*m = 0. What is m?
-2780, -1, 0
Find c such that 3*c**5/2 + 61*c**4/2 + 116*c**3/3 + 38*c**2/3 = 0.
-19, -2/3, 0
Solve 1750*x**5 + 5975*x**4 + 5535*x**3 + 970*x**2 - 460*x - 120 = 0.
-2, -1, -2/5, -3/10, 2/7
Determine j so that -4*j**3/5 + 209*j**2/5 - 52*j/5 = 0.
0, 1/4, 52
Factor 3*c**4 - 198*c**3 - 204*c**2 + 198*c + 201.
3*(c - 67)*(c - 1)*(c + 1)**2
What is h in 2*h**3 + 76*h**2 + 146*h + 72 = 0?
-36, -1
Determine g so that 3*g**4 + 1155*g**3 + 111744*g**2 + 110592*g = 0.
-192, -1, 0
Suppose c**4/5 + 94*c**3/5 + 2113*c**2/5 - 4512*c/5 + 2304/5 = 0. Calculate c.
-48, 1
Let 3*x**2/2 + 6*x - 18 = 0. What is x?
-6, 2
Factor -36*i**2/7 - 1434*i/7 - 1020.
-6*(i + 34)*(6*i + 35)/7
Factor -5*z**5 + 1225*z**4 - 75640*z**3 + 74420*z**2.
-5*z**2*(z - 122)**2*(z - 1)
Factor -4*v**3/7 + 60*v**2/7 - 248*v/7 + 288/7.
-4*(v - 9)*(v - 4)*(v - 2)/7
Factor 6*o**3 - 28*o**2 - 154*o - 48.
2*(o - 8)*(o + 3)*(3*o + 1)
Determine u so that -2*u**3/3 - 16*u**2/3 - 10*u/3 + 28/3 = 0.
-7, -2, 1
Let 3*a**4 + 51*a**3 + 66*a**2 - 360*a = 0. Calculate a.
-15, -4, 0, 2
Let 35*w**5/2 + 1277*w**4/2 + 4177*w**3/2 + 5059*w**2/2 + 1260*w + 198 = 0. Calculate w.
-33, -6/5, -1, -2/7
Suppose 8*q**2/3 - 1738*q/3 + 434/3 = 0. Calculate q.
1/4, 217
Factor -2*k**3/11 + 1288*k**2/11 + 5176*k/11 + 5184/11.
-2*(k - 648)*(k + 2)**2/11
Let u**5/3 + 22*u**4/3 + 137*u**3/3 + 140*u**2/3 - 100*u = 0. What is u?
-10, -3, 0, 1
Find w, given that 4*w**3/5 + 13*w**2/10 - 3*w/5 = 0.
-2, 0, 3/8
Factor 5*c**4/3 - 5*c**3 - 110*c**2/3 + 40*c.
5*c*(c - 6)*(c - 1)*(c + 4)/3
Factor -3*w**2/2 + 165*w/2 + 84.
-3*(w - 56)*(w + 1)/2
Factor t**3/10 + 23*t**2/10 - 53*t/10 - 15/2.
(t - 3)*(t + 1)*(t + 25)/10
Solve -b**5/2 + 25*b**4 - 327*b**3/2 - 243*b**2 + 2214*b + 2268 = 0 for b.
-3, -1, 6, 42
Let -l**2 + 80*l + 81 = 0. Calculate l.
-1, 81
Factor -3*w**3/5 - 18*w**2/5 + 48*w/5.
-3*w*(w - 2)*(w + 8)/5
Factor 5*q**4 +