5*i**2 - 8*i - 48.
(i - 3)*(i + 4)**2
Factor -2*k**3 + 10*k**2 + 12*k.
-2*k*(k - 6)*(k + 1)
Factor -5*b**2 - 48630*b - 118243845.
-5*(b + 4863)**2
Factor 3*c**3 - 186*c**2 + 2163*c - 7056.
3*(c - 48)*(c - 7)**2
Solve -r**2/3 - 1628*r - 1987788 = 0 for r.
-2442
Factor -2*d**2/9 - 304*d/9 - 200/3.
-2*(d + 2)*(d + 150)/9
Suppose 729*i**4/8 - 6993*i**3/8 - 5445*i**2/4 - 1083*i/2 - 33 = 0. What is i?
-2/3, -2/27, 11
Factor -w**4/4 + 189*w**3/4 + w**2/4 - 189*w/4.
-w*(w - 189)*(w - 1)*(w + 1)/4
Factor -2*z**2/17 - 14*z/17 - 24/17.
-2*(z + 3)*(z + 4)/17
Determine o, given that -2*o**4/3 + 68*o**3 - 794*o**2/3 + 328*o - 392/3 = 0.
1, 2, 98
Find x, given that 3*x**3 - 87*x**2 + 672*x - 588 = 0.
1, 14
Factor -i**2/6 - 8*i/3.
-i*(i + 16)/6
Factor 2*t**3 - 78*t**2 - 1514*t + 1590.
2*(t - 53)*(t - 1)*(t + 15)
Factor -20*q**4 + 65*q**3 - 15*q**2.
-5*q**2*(q - 3)*(4*q - 1)
Solve d**3/4 - 127*d**2/4 - 130*d - 131 = 0 for d.
-2, 131
Let 1058*k**4/3 + 548228*k**3/3 + 23689006*k**2 + 12347048*k/3 + 536648/3 = 0. Calculate k.
-259, -2/23
Factor 3*w**3/5 + 666*w**2 + 246420*w + 30391800.
3*(w + 370)**3/5
Factor -2*l**4 - 600*l**3 - 47336*l**2 - 350400*l - 682112.
-2*(l + 4)**2*(l + 146)**2
Factor 6*c**4/11 + 30*c**3/11 - 12*c**2 + 96*c/11.
6*c*(c - 2)*(c - 1)*(c + 8)/11
Factor 3*g**3/4 + 1782*g**2 + 4226895*g/4 - 4241163/2.
3*(g - 2)*(g + 1189)**2/4
What is n in 2*n**5/9 + 10*n**4/3 + 152*n**3/9 + 104*n**2/3 + 224*n/9 = 0?
-7, -4, -2, 0
Factor 12*j**4 - 3*j**3 - 15*j**2.
3*j**2*(j + 1)*(4*j - 5)
Solve 578*s**4 + 1972*s**3 + 2498*s**2 + 1392*s + 288 = 0 for s.
-1, -12/17
Let 2*n**3/3 + 32*n**2 + 790*n/3 - 296 = 0. Calculate n.
-37, -12, 1
Determine k so that -5*k**5 - 30*k**4 - 70*k**3 - 80*k**2 - 45*k - 10 = 0.
-2, -1
Factor r**4/4 + 13*r**3/4 + 12*r**2 + 9*r.
r*(r + 1)*(r + 6)**2/4
Solve 3*v**3/5 + 258*v**2/5 + 7392*v/5 + 14112 = 0 for v.
-30, -28
Solve -2*x**5 - 4*x**4 + 166*x**3 - 200*x**2 - 2200*x + 4000 = 0.
-10, -4, 2, 5
Suppose -3*i**2/7 - 330*i/7 - 327/7 = 0. Calculate i.
-109, -1
Factor 3*p**2/2 - 1747*p/3 + 388/3.
(p - 388)*(9*p - 2)/6
Factor 2*p**3 + 196*p**2 + 4160*p - 32448.
2*(p - 6)*(p + 52)**2
Let -3*l**5/4 + 7*l**4/4 + 431*l**3/2 - 1011*l**2/2 + 1445*l/4 - 289/4 = 0. Calculate l.
-17, 1/3, 1, 17
Factor 188*z**3/3 + 8*z**2/3 - 188*z/3 - 8/3.
4*(z - 1)*(z + 1)*(47*z + 2)/3
Factor -2*b**5/11 - 2*b**4/11 + 4*b**3/11 + 4*b**2/11 - 2*b/11 - 2/11.
-2*(b - 1)**2*(b + 1)**3/11
Factor 2*k**4/5 + 1502*k**3/5 + 281248*k**2/5 - 282752*k/5.
2*k*(k - 1)*(k + 376)**2/5
Let -t**3/6 - 119*t**2/6 - 220*t - 642 = 0. Calculate t.
-107, -6
Suppose -336*s**5 + 240*s**4 + 117*s**3 - 15*s**2 - 6*s = 0. Calculate s.
-2/7, -1/4, 0, 1/4, 1
Let 2*c**3/5 + 14*c**2/5 - 56*c/5 + 8 = 0. Calculate c.
-10, 1, 2
What is z in 50000*z**5 - 2180000*z**4 - 877000*z**3 - 131800*z**2 - 8795*z - 220 = 0?
-1/10, 44
Suppose -3*g**3/7 - 6*g**2 + 39*g - 228/7 = 0. What is g?
-19, 1, 4
Factor -2*b**2 - 92*b.
-2*b*(b + 46)
Factor 55*j**3 + 870*j**2 - 3205*j + 2280.
5*(j - 1)*(j + 19)*(11*j - 24)
Find d, given that -2*d**3/5 - 36*d**2 - 4386*d/5 - 14792/5 = 0.
-43, -4
Factor 4*d**2 - 1594*d - 798.
2*(d - 399)*(2*d + 1)
What is j in -15*j**4 + 1848*j**3 + 7428*j**2/5 + 1488*j/5 = 0?
-2/5, 0, 124
Suppose -g**2/2 + 5*g/2 + 738 = 0. What is g?
-36, 41
Let c**5 - 224*c**4 + 16648*c**3 - 404550*c**2 - 455625*c + 843750 = 0. What is c?
-2, 1, 75
Suppose -2*j**2/7 - 20*j/7 + 66 = 0. Calculate j.
-21, 11
Let -a**2/4 + 3*a/2 = 0. Calculate a.
0, 6
Solve l**3/4 + 5*l**2/2 - 23*l/4 + 3 = 0 for l.
-12, 1
Determine f so that -2*f**4/3 + 28*f**3/3 - 46*f**2/3 - 28*f/3 + 16 = 0.
-1, 1, 2, 12
Suppose t**4 - 305*t**3 - 307*t**2 + 305*t + 306 = 0. Calculate t.
-1, 1, 306
Find l such that -3*l**3 - 31*l**2/2 + 2239*l/2 + 187 = 0.
-22, -1/6, 17
Let -17*a**5/3 + 12*a**4 - 4*a**3/3 = 0. Calculate a.
0, 2/17, 2
Suppose u**5/2 + 59*u**4/2 + 614*u**3 + 4968*u**2 + 7776*u - 40824 = 0. What is u?
-18, -7, 2
Factor 2*b**3/7 + 1072*b**2/7 + 2138*b/7 + 1068/7.
2*(b + 1)**2*(b + 534)/7
Factor 32*h**2 - 1296*h + 13122.
2*(4*h - 81)**2
Solve -2*c**3/9 + 2*c/3 - 4/9 = 0.
-2, 1
Determine r, given that 6*r**5/7 - 146*r**4/7 + 158*r**3/7 + 586*r**2/7 + 276*r/7 = 0.
-1, -2/3, 0, 3, 23
Let 4*n**3 + 1348*n**2 - 4*n - 1348 = 0. What is n?
-337, -1, 1
Suppose k**3/4 - 5*k**2/4 + 7*k/4 - 3/4 = 0. Calculate k.
1, 3
Let -9*j**3 + 372*j**2 - 1455*j + 444 = 0. What is j?
1/3, 4, 37
Factor -4*u**2/3 - 38*u/3 + 22.
-2*(u + 11)*(2*u - 3)/3
Factor i**3/2 - 36*i**2 - 73*i/2.
i*(i - 73)*(i + 1)/2
What is s in -3*s**3 - 327*s**2 - 960*s - 636 = 0?
-106, -2, -1
Suppose -46*b**2/3 - 246*b - 32/3 = 0. What is b?
-16, -1/23
Find d, given that 2*d**5/7 - 16*d**4/7 - 38*d**3/7 + 172*d**2/7 + 120*d/7 - 432/7 = 0.
-3, -2, 2, 9
Factor 25*v**2/2 + 53*v.
v*(25*v + 106)/2
Factor k**3/6 + 8*k**2/3 + 41*k/6 + 13/3.
(k + 1)*(k + 2)*(k + 13)/6
Factor -2*p**4 - 108*p**3 - 1098*p**2 + 9720*p - 16200.
-2*(p - 3)**2*(p + 30)**2
Find w, given that w**4/3 - 3*w**3 + 29*w**2/3 - 13*w + 6 = 0.
1, 2, 3
Let -66879684*m**2 - 65424*m - 16 = 0. Calculate m.
-2/4089
Factor -2*n**5/15 - 26*n**4/15 - 116*n**3/15 - 212*n**2/15 - 34*n/3 - 10/3.
-2*(n + 1)**3*(n + 5)**2/15
Factor c**4/11 - 3*c**3/11 - 13*c**2/11 + 15*c/11.
c*(c - 5)*(c - 1)*(c + 3)/11
Factor 14*z**3/15 + 4*z**2 + 58*z/15 + 4/5.
2*(z + 1)*(z + 3)*(7*z + 2)/15
Determine g so that 2*g**2/15 + 272*g/15 + 9248/15 = 0.
-68
Let 2*z**2/5 - 542*z/3 - 904/15 = 0. What is z?
-1/3, 452
Let 5*u**3 + 40*u**2 + 55*u - 100 = 0. What is u?
-5, -4, 1
Factor 4*u**2 - 648*u + 1280.
4*(u - 160)*(u - 2)
Factor 3*s**4 - 30*s**3 - 108*s**2 - 114*s - 39.
3*(s - 13)*(s + 1)**3
Factor 3*v**3/7 - 2586*v**2/7 + 10308*v/7 - 10296/7.
3*(v - 858)*(v - 2)**2/7
Determine l, given that -6*l**2 - 449*l - 149 = 0.
-149/2, -1/3
Solve -x**2/2 + 3*x/2 + 9 = 0.
-3, 6
Factor -3*p**3 + 282*p**2 - 6627*p.
-3*p*(p - 47)**2
Factor 3*o**2/4 - 339*o/4 + 333/2.
3*(o - 111)*(o - 2)/4
Solve -2*d**4/3 + 4*d**3 - 14*d**2/3 - 4*d + 16/3 = 0.
-1, 1, 2, 4
Factor 3*i**2/7 + 5592*i/7 + 2605872/7.
3*(i + 932)**2/7
Suppose -5*z**2 + 350*z - 345 = 0. Calculate z.
1, 69
Solve -2*m**2/5 + 632*m/5 - 49928/5 = 0 for m.
158
Factor 72*p**2/7 - 220*p/7 + 12/7.
4*(p - 3)*(18*p - 1)/7
Factor 3*u**2 - 78*u - 816.
3*(u - 34)*(u + 8)
Factor 5*f**4 - 525*f**3 - 4440*f**2 - 9040*f.
5*f*(f - 113)*(f + 4)**2
What is k in k**2/5 - 12*k/5 + 36/5 = 0?
6
Factor 5*v**2 + 1740*v + 151380.
5*(v + 174)**2
Factor -5*w**2 - 325*w - 5280.
-5*(w + 32)*(w + 33)
What is i in -2*i**3/3 + 16*i**2 + 322*i + 3724/3 = 0?
-7, 38
Factor g**5/3 + g**4/3 - 2*g**3/3.
g**3*(g - 1)*(g + 2)/3
Suppose -h**4 + 648*h**3 = 0. Calculate h.
0, 648
Factor -3*t**2 - 3288*t + 3291.
-3*(t - 1)*(t + 1097)
Factor 4*s**4/3 - 4*s**3/3 - 4*s**2/3 + 4*s/3.
4*s*(s - 1)**2*(s + 1)/3
Factor t**4 + 90*t**3 + 169*t**2 - 612*t + 352.
(t - 1)**2*(t + 4)*(t + 88)
Solve -5*d**2 - 4065*d + 4070 = 0 for d.
-814, 1
Factor 5*v**3 - 210*v**2 + 2940*v - 13720.
5*(v - 14)**3
Find c such that -2*c**3/5 - 5*c**2 - 84*c/5 - 36/5 = 0.
-6, -1/2
Solve -z**3/9 - 80*z**2/3 - 473*z/9 + 238/3 = 0.
-238, -3, 1
Let -d**5 - 22*d**4 - 120*d**3 + 22*d**2 + 121*d = 0. Calculate d.
-11, -1, 0, 1
Determine q so that 4*q**4/3 - 14*q**3 + 88*q**2/3 - 22*q + 16/3 = 0.
1/2, 1, 8
Solve -2*r**4/3 - 16*r**3 - 106*r**2 - 760*r/3 - 200 = 0.
-15, -5, -2
Find s, given that 16*s**4 + 68*s**3 - 448*s**2 + 268*s + 96 = 0.
-8, -1/4, 1, 3
Let 36*u**4 + 796*u**3 + 4444*u**2 + 484*u = 0. Calculate u.
-11, -1/9, 0
Determine y, given that 2*y**2/7 + 194*y/7 + 312 = 0.
-84, -13
Factor -3*w**3 + 14*w**2 - 20*w + 8.
-(w - 2)**2*(3*w - 2)
Solve c**3/2 - 7*c**2 + 30*c - 36 = 0 for c.
2, 6
Factor 4*g**4 - 20*g**3 - 48*g**2 + 304*g - 320.
4*(g - 5)*(g - 2)**2*(g + 4)
What is z in -3*z**3 + 129*z - 126 = 0?
-7, 1, 6
Suppose -3*i**3/4 + 135*i**2/4 + 825*i/2 = 0. What is i?
-10, 0, 55
Suppose 2*o**4 + 158*o**3 + 460*o**2 + 304*o = 0. Calculate o.
-76, -2, -1, 0
Factor -2*r**2 + 16*r - 24.
-2*(r - 6)*(r - 2)
Solve 9*s**3/5 - 291*s**2 - 1968*s/5 + 1956/5 = 0 for s.
-2, 2/3, 163
Factor 70756*u**3 - 1064*u**2/3 + 4*u/9.
4*u*(399*u - 1)**2/9
Factor 2*o**2 + 36*o.
2*o*(o + 18)
Find v, given that v**2/5 - 9*v/5 + 18/5 = 0.
3, 6
Factor 3*k**2/4 + 17829*k/2 + 105957747/4.
3*(k + 5943)**2/4
Let -2*b**4/