/15 + 5144*p/15 + 3307592/15 = 0.
-1286
Factor u**3/2 + 103*u**2/2 + 2415*u/2 + 16425/2.
(u + 15)**2*(u + 73)/2
Determine t so that t**2/2 + 161*t = 0.
-322, 0
Factor 115*s**2 - 80*s - 300.
5*(s - 2)*(23*s + 30)
Find z, given that -57*z**2 + 447*z - 390 = 0.
1, 130/19
Solve -h**5/3 - 2*h**4 + 26*h**3/3 + 72*h**2 + 335*h/3 + 50 = 0 for h.
-5, -1, 6
Factor -2*j**5/7 - 7*j**4 - 24*j**3/7.
-j**3*(j + 24)*(2*j + 1)/7
Factor 5*a**3 + 150*a**2 + 1255*a + 2550.
5*(a + 3)*(a + 10)*(a + 17)
Factor -2*m**2 - 122*m + 804.
-2*(m - 6)*(m + 67)
Let -6*f**4 - 9*f**3 + 99*f**2 - 39*f - 45 = 0. Calculate f.
-5, -1/2, 1, 3
Let 4*i**5 - 1912*i**4 + 303364*i**3 - 15771520*i**2 - 32460800*i - 16384000 = 0. What is i?
-1, 160
Suppose -2*h**4/11 - 402*h**3/11 - 23532*h**2/11 - 10952*h + 17019408/11 = 0. Calculate h.
-74, 21
Factor 39*m**4 - 72*m**3 - 12*m**2.
3*m**2*(m - 2)*(13*m + 2)
Determine o, given that -3*o**2 - 978*o + 981 = 0.
-327, 1
Let -c**2/3 - 25*c/3 + 28 = 0. Calculate c.
-28, 3
Determine k so that -16*k**5 - 324*k**4 - 928*k**3 - 756*k**2 - 136*k = 0.
-17, -2, -1, -1/4, 0
Determine b so that -3*b**5 + 1179*b**4 - 118752*b**3 + 573864*b**2 - 907920*b + 451632 = 0.
1, 2, 194
Factor r**4/2 + r**3 - 4*r**2 - 9*r - 9/2.
(r - 3)*(r + 1)**2*(r + 3)/2
Factor -5*u**4/4 + 35*u**3/2 + 355*u**2/4 - 1050*u - 4500.
-5*(u - 12)**2*(u + 5)**2/4
Solve -5*c**5/3 - 40*c**4/3 + 70*c**3/3 + 740*c**2/3 - 65*c/3 - 700/3 = 0 for c.
-7, -5, -1, 1, 4
Factor q**3/3 - 12*q**2 + 161*q/3 - 62.
(q - 31)*(q - 3)*(q - 2)/3
Determine c so that -4*c**2/9 + 216*c + 1948/9 = 0.
-1, 487
Find j, given that 8*j**5 + 156*j**4 + 200*j**3 - 300*j**2 - 208*j + 144 = 0.
-18, -2, -1, 1/2, 1
Factor -c**2/5 - 82*c/5.
-c*(c + 82)/5
Find t, given that t**3/9 + 2*t**2 + 65*t/9 = 0.
-13, -5, 0
What is s in -22*s**3/7 + 30*s**2/7 - 8*s/7 = 0?
0, 4/11, 1
Factor -250*b**4 + 6960*b**3 - 239408*b**2/5 - 38976*b/5 - 1568/5.
-2*(b - 14)**2*(25*b + 2)**2/5
Factor -2*n**2 + 86*n + 88.
-2*(n - 44)*(n + 1)
Find m, given that 5*m**2 + 10210*m + 5212205 = 0.
-1021
Factor -11*t**4 - 30*t**3 - 13*t**2 + 6*t.
-t*(t + 1)*(t + 2)*(11*t - 3)
Let -4*g**2 - 96*g + 100 = 0. Calculate g.
-25, 1
Let 5*o**4/4 - 25*o**3/4 - 105*o**2/4 + 425*o/4 + 125 = 0. What is o?
-4, -1, 5
Let 21*i**2 - 28272*i + 8076 = 0. What is i?
2/7, 1346
Factor -4*x**4 - 78*x**3 - 38*x**2.
-2*x**2*(x + 19)*(2*x + 1)
Solve -48*j**4 - 2632*j**3 - 2171*j**2 - 595*j - 54 = 0.
-54, -1/3, -1/4
Suppose 15*q**4 - 100*q**3 - 45*q**2 + 70*q = 0. What is q?
-1, 0, 2/3, 7
Factor -2*y**3 + 152*y**2 - 858*y + 1260.
-2*(y - 70)*(y - 3)**2
Solve -243*i**4 + 945*i**3 - 1182*i**2 + 576*i - 96 = 0 for i.
4/9, 1, 2
Factor 4*y**4 + 44*y**3 + 108*y**2 + 100*y + 32.
4*(y + 1)**3*(y + 8)
Let 5*v**2 - 55*v - 130 = 0. Calculate v.
-2, 13
Factor -2*u**3/7 - 4*u**2 + 328*u/7 - 528/7.
-2*(u - 6)*(u - 2)*(u + 22)/7
What is s in -s**4 - 85*s**3/3 - 422*s**2/3 + 2624*s/3 - 512 = 0?
-16, 2/3, 3
Factor 11*i**3 - 427*i**2/3 - 26*i/3.
i*(i - 13)*(33*i + 2)/3
Factor 4*v**3 - 2404*v**2 - 4820*v - 2412.
4*(v - 603)*(v + 1)**2
Determine s so that -3*s**3 - 6*s**2 = 0.
-2, 0
Let -f**2/7 - 2860*f/7 - 2044900/7 = 0. Calculate f.
-1430
Let 12*q**5 - 76*q**4 - 420*q**3 + 1228*q**2 - 360*q = 0. What is q?
-5, 0, 1/3, 2, 9
Factor -b**4/6 - 59*b**3/6 + 10*b**2.
-b**2*(b - 1)*(b + 60)/6
Factor -34*n**3/15 - 128*n**2/15 - 154*n/15 - 4.
-2*(n + 1)**2*(17*n + 30)/15
Determine l so that -9*l**3 - 3219*l**2 - 287295*l + 96123 = 0.
-179, 1/3
Factor -5*m**4 - 90*m**3 - 365*m**2 - 540*m - 260.
-5*(m + 1)*(m + 2)**2*(m + 13)
Solve 4*m**4 + 416*m**3 + 404*m**2 - 824*m = 0.
-103, -2, 0, 1
Let r**2/7 + 3*r/7 - 18/7 = 0. What is r?
-6, 3
Solve -4*p**4 - 8*p**3 + 4*p**2 + 8*p = 0 for p.
-2, -1, 0, 1
Suppose -6*f**5/7 + 16*f**4/7 - 6*f**3/7 - 4*f**2/7 = 0. What is f?
-1/3, 0, 1, 2
Factor -x**4/6 + 3*x**3/2 - 5*x**2 + 22*x/3 - 4.
-(x - 3)*(x - 2)**3/6
Factor 3*x**4 + 177*x**3 + 2130*x**2 - 14208*x + 18432.
3*(x - 3)*(x - 2)*(x + 32)**2
What is b in -2*b**3/5 - 4*b**2/5 + 62*b/5 - 56/5 = 0?
-7, 1, 4
Suppose 722*v**2/23 - 304*v/23 + 32/23 = 0. What is v?
4/19
Determine r so that -8*r**3 + 116*r**2 - 320*r + 132 = 0.
1/2, 3, 11
Solve -9*o**3/8 - 1587*o**2/8 - 8778*o - 2904 = 0 for o.
-88, -1/3
Determine w, given that 2*w**2/5 + 158*w + 788/5 = 0.
-394, -1
Solve w**4/2 + 51*w**3/2 + 867*w**2/2 + 4913*w/2 = 0 for w.
-17, 0
Factor -3*u**2 + 325*u - 108.
-(u - 108)*(3*u - 1)
Solve 4*r**5/5 - 9*r**4/5 - 206*r**3/5 - 324*r**2/5 - 86*r/5 + 9 = 0.
-5, -1, 1/4, 9
Solve 9*l**2/2 - 291*l + 192 = 0 for l.
2/3, 64
Factor 5*g**4 + 65*g**3 + 30*g**2 - 360*g.
5*g*(g - 2)*(g + 3)*(g + 12)
Suppose -2*b**3 + 168*b**2 - 4704*b + 43904 = 0. What is b?
28
What is h in -2*h**4 - 72*h**3 + 76*h**2 + 72*h - 74 = 0?
-37, -1, 1
Suppose -2*w**2/3 + 236*w/3 - 6962/3 = 0. What is w?
59
Factor p**3/4 - 101*p**2/2 - 205*p - 206.
(p - 206)*(p + 2)**2/4
Factor 2*g**4/13 - 20*g**3/13 + 42*g**2/13.
2*g**2*(g - 7)*(g - 3)/13
Factor -14*u**3 - 36*u**2 + 18*u.
-2*u*(u + 3)*(7*u - 3)
Find j such that -3*j**2/4 + 9*j/8 + 15/8 = 0.
-1, 5/2
Factor -54*l**2/5 + 276*l/5 - 48.
-6*(l - 4)*(9*l - 10)/5
Let 10*x**4/13 - 1884*x**3/13 + 742*x**2/13 + 1884*x/13 - 752/13 = 0. Calculate x.
-1, 2/5, 1, 188
Factor 2*j**4 + 2*j**3 - 54*j**2 + 54*j + 108.
2*(j - 3)**2*(j + 1)*(j + 6)
Factor y**2/3 + 110*y/3 + 109/3.
(y + 1)*(y + 109)/3
What is g in -2*g**2 - 420*g - 832 = 0?
-208, -2
Factor -p**3/4 - 4*p**2 - 69*p/4 - 27/2.
-(p + 1)*(p + 6)*(p + 9)/4
Factor 2*w**2 - 372*w.
2*w*(w - 186)
Find l, given that -l**5 - 9*l**4 + 23*l**3 + 9*l**2 - 22*l = 0.
-11, -1, 0, 1, 2
Factor -p**4/4 + 221*p**3/4 - 55*p**2.
-p**2*(p - 220)*(p - 1)/4
Suppose -35*g**2 + 3650*g - 1040 = 0. What is g?
2/7, 104
Factor v**3/2 - 2*v**2 - 11*v/2 - 3.
(v - 6)*(v + 1)**2/2
Find d such that -d**5/4 - 2*d**4 + 32*d**2 + 64*d = 0.
-4, 0, 4
Let 6*f**5 - 2*f**4 - 262*f**3 + 338*f**2 + 88*f - 168 = 0. What is f?
-7, -2/3, 1, 6
Factor -3*n**2 + 42*n + 45.
-3*(n - 15)*(n + 1)
Determine n, given that -5*n**5 - 1390*n**4 - 9560*n**3 - 20390*n**2 - 17635*n - 5420 = 0.
-271, -4, -1
Let -2*w**3/3 - 76*w**2 + 230*w/3 = 0. What is w?
-115, 0, 1
Factor -q**5 + 4*q**4 - 14*q**2 + 17*q - 6.
-(q - 3)*(q - 1)**3*(q + 2)
Factor -v**5/4 + 135*v**4/4 - 2175*v**3/2 - 6935*v**2/2 - 14145*v/4 - 4761/4.
-(v - 69)**2*(v + 1)**3/4
Factor x**2/5 + 4*x - 21/5.
(x - 1)*(x + 21)/5
Factor 2*n**3/9 - 206*n**2/9 - 850*n/9 - 214/3.
2*(n - 107)*(n + 1)*(n + 3)/9
Factor -3*t**2 - 114*t - 216.
-3*(t + 2)*(t + 36)
Suppose -20*y**5 + 85*y**4 - 100*y**3 + 20*y**2 = 0. What is y?
0, 1/4, 2
Suppose -5*y**3 - 45*y**2 + 1080*y - 3780 = 0. Calculate y.
-21, 6
Let -26*p**5 + 776*p**4 - 1336*p**3 - 224*p**2 = 0. Calculate p.
-2/13, 0, 2, 28
Factor -2*j**2/9 + 62*j/9 - 440/9.
-2*(j - 20)*(j - 11)/9
Find f such that f**2 + 13*f + 40 = 0.
-8, -5
Find f, given that f**3/4 + 3*f**2/2 - 25*f/4 + 9/2 = 0.
-9, 1, 2
Factor 4*i**3 + 85*i**2 - 66*i.
i*(i + 22)*(4*i - 3)
Determine h, given that -5*h**4/3 - 153*h**3 - 10013*h**2/3 + 8037*h - 4418/3 = 0.
-47, 1/5, 2
What is q in q**2/2 - 5*q - 11/2 = 0?
-1, 11
Determine t so that -t**5 - 1458*t**4 + 5845*t**3 - 4390*t**2 - 5844*t + 5848 = 0.
-1462, -1, 1, 2
Factor 4*r**4 + 6812*r**3 + 2903612*r**2 + 2896804*r.
4*r*(r + 1)*(r + 851)**2
Solve -4*f**3 + 1188*f**2 + 4*f - 1188 = 0 for f.
-1, 1, 297
Factor -h**3/5 + 12*h**2/5 - 21*h/5 + 2.
-(h - 10)*(h - 1)**2/5
Let 26*x**3/7 + 5760*x**2/7 + 317682*x/7 - 147852/7 = 0. Calculate x.
-111, 6/13
Suppose 18*w**2 - 12*w + 2 = 0. What is w?
1/3
Factor -5*f**2/3 - 95*f + 300.
-5*(f - 3)*(f + 60)/3
Solve -130*h**3/7 - 258*h**2/7 + 4*h/7 = 0.
-2, 0, 1/65
Find v, given that -v**3/2 + 49*v**2 - 188*v = 0.
0, 4, 94
Suppose 3*p**2/4 - 177*p - 711/4 = 0. Calculate p.
-1, 237
Determine k, given that 5*k**5 - 50*k**4 + 185*k**3 - 320*k**2 + 260*k - 80 = 0.
1, 2, 4
Factor 3*x**2/4 + 21*x + 120.
3*(x + 8)*(x + 20)/4
Let -288*u**4 + 919*u**3 - 739*u**2 + 104*u + 4 = 0. What is u?
-1/32, 2/9, 1, 2
Solve v**5/2 - 2*v**3 - v**2 + 3*v/2 + 1 = 0.
-1, 1, 2
Factor 4*p**3 + 12*p**2 - 16*p - 48.
4*(p - 2)*(p + 2)*(p + 3)
Suppose -f**5/9 - 13*f**4/9 + 11*f**3/9 + 161*f**2/9 + 242*f/9 + 104/9 = 0. Calculate f.
-13, -2, -1, 4
Factor 5*z**4 - 20*z**3 - 1600*z**2.
5*z**2*(z - 20)*(z + 16)
Factor f**4/