48)
Solve -350892*l**3 + 2052*l**2 - 3*l = 0 for l.
0, 1/342
Let -4*o**4 + 20*o**3 - 36*o**2 + 28*o - 8 = 0. What is o?
1, 2
Factor 5*m**3 + 85*m**2 - 100*m - 180.
5*(m - 2)*(m + 1)*(m + 18)
Let -14*l**2/5 + 1004*l/5 + 288/5 = 0. Calculate l.
-2/7, 72
Factor 5*p**2 - 7160*p + 7155.
5*(p - 1431)*(p - 1)
What is a in -2*a**2/13 + 136*a/13 + 1216/13 = 0?
-8, 76
Solve -d**3/3 - 28*d**2/3 + 29*d/3 = 0.
-29, 0, 1
Factor -2*m**5 + 86*m**4 - 164*m**3 - 4*m**2 + 166*m - 82.
-2*(m - 41)*(m - 1)**3*(m + 1)
Determine u so that 4*u**4 + 564*u**3 + 8752*u**2 + 39936*u + 31744 = 0.
-124, -8, -1
Factor 5*k**4 - 320*k**3 + 310*k**2 + 320*k - 315.
5*(k - 63)*(k - 1)**2*(k + 1)
Let 5*x**5/2 + 5*x**4/2 - 85*x**3/2 + 95*x**2/2 + 40*x - 50 = 0. Calculate x.
-5, -1, 1, 2
Factor h**3/6 - 10*h**2/3 + 64*h/3 - 128/3.
(h - 8)**2*(h - 4)/6
Factor -2*q**3/5 + 64*q**2/5.
-2*q**2*(q - 32)/5
Factor 4*n**3 - 32*n**2 + 48*n.
4*n*(n - 6)*(n - 2)
Factor 2*c**5 + 3510*c**4 + 2049832*c**3 + 396286016*c**2 - 1203259584*c + 804920224.
2*(c - 2)*(c - 1)*(c + 586)**3
Factor -2*f**2/5 - 136*f/5 + 576/5.
-2*(f - 4)*(f + 72)/5
Let 5*a**4 - 265*a**3 + 3365*a**2 + 4185*a - 7290 = 0. What is a?
-2, 1, 27
Factor 2*q**3/3 - 14*q**2/3 + 32*q/3 - 8.
2*(q - 3)*(q - 2)**2/3
Find u such that 3*u**4 + 519*u**3 + 1029*u**2 + 513*u = 0.
-171, -1, 0
Find b, given that 2*b**4/3 - 8*b**3/3 + 10*b**2/3 - 4*b/3 = 0.
0, 1, 2
Determine f, given that -3*f**4/4 - 72*f**3 - 285*f**2/4 = 0.
-95, -1, 0
Factor 3*r**2/5 - 447*r/5 - 1368/5.
3*(r - 152)*(r + 3)/5
Solve -3*x**4 + 30*x**3 + 9*x**2 - 96*x + 60 = 0 for x.
-2, 1, 10
Factor 2*g**4 - 8*g**3 + 10*g**2 - 4*g.
2*g*(g - 2)*(g - 1)**2
Factor 3*f**3 + 126*f**2 + 123*f.
3*f*(f + 1)*(f + 41)
Solve f**2/5 + 14*f/5 - 3 = 0 for f.
-15, 1
Factor 4*s**3 - 96*s**2 + 432*s.
4*s*(s - 18)*(s - 6)
Find f, given that -4*f**2/5 + 108*f - 536/5 = 0.
1, 134
Let f**4/4 + 7*f**3/2 + 3*f**2 - 7*f/2 - 13/4 = 0. What is f?
-13, -1, 1
Suppose 2*k**5 + 28*k**4 + 48*k**3 - 188*k**2 + 110*k = 0. What is k?
-11, -5, 0, 1
Let -u**3/6 + 7*u**2/6 - 5*u/3 = 0. Calculate u.
0, 2, 5
Suppose -2*x**2/3 + 34*x - 252 = 0. What is x?
9, 42
Factor z**4 - 53*z**3 - 54*z**2.
z**2*(z - 54)*(z + 1)
Factor d**2 - 8*d + 12.
(d - 6)*(d - 2)
Factor 49*l**3/2 + 91*l**2/2 + 51*l/2 + 9/2.
(l + 1)*(7*l + 3)**2/2
Solve -7*f**4 - 25*f**3 + f**2 + 49*f + 30 = 0 for f.
-3, -1, 10/7
Factor -2*s**2 + 278*s + 1144.
-2*(s - 143)*(s + 4)
Factor -2*d**4 - 538*d**3 - 1600*d**2 - 1064*d.
-2*d*(d + 1)*(d + 2)*(d + 266)
Determine l, given that 2*l**4/17 - 80*l**3/17 + 876*l**2/17 - 1520*l/17 + 722/17 = 0.
1, 19
Factor -54*z**2 - 1066*z/5 + 56/5.
-2*(z + 4)*(135*z - 7)/5
Determine x so that 9*x**4 - 47*x**3 - 188*x**2 - 100*x + 32 = 0.
-2, -1, 2/9, 8
Suppose -2*a**2/3 - 1100*a/3 - 151250/3 = 0. Calculate a.
-275
Factor -3*q**4 + 447*q**3 - 16872*q**2 + 16428*q.
-3*q*(q - 74)**2*(q - 1)
Factor 3*a**5/5 + 6*a**4/5 - 6*a**3/5 - 24*a**2/5 - 21*a/5 - 6/5.
3*(a - 2)*(a + 1)**4/5
Let -27*u**5/4 - 57*u**4/2 - 39*u**3/2 + 24*u**2 + 105*u/4 + 9/2 = 0. What is u?
-3, -1, -2/9, 1
Let 2*p**2/17 + 8*p/17 - 64/17 = 0. Calculate p.
-8, 4
Factor -4*n**4 - 88*n**3 + 884*n**2 + 2088*n.
-4*n*(n - 9)*(n + 2)*(n + 29)
Factor 2*w**2 + 1078*w - 1080.
2*(w - 1)*(w + 540)
Factor -3*w**3 + 45*w**2 - 186*w + 216.
-3*(w - 9)*(w - 4)*(w - 2)
Factor 4*t**3 + 40*t**2 + 64*t.
4*t*(t + 2)*(t + 8)
Determine j so that j**4/2 - 290*j**3/3 + 671*j**2/3 - 478*j/3 + 191/6 = 0.
1/3, 1, 191
Factor -5*z**3/2 + 47*z**2/2 + 255*z + 144.
-(z - 16)*(z + 6)*(5*z + 3)/2
Find b, given that -4*b**5 - 44*b**4 + 24*b**3 + 232*b**2 - 340*b + 132 = 0.
-11, -3, 1
Factor 2*o**3/3 + 110*o**2/3 + 214*o/3 + 106/3.
2*(o + 1)**2*(o + 53)/3
Factor -3*l**2 - 312*l - 612.
-3*(l + 2)*(l + 102)
Suppose -5*k**5 - 40*k**4 - 65*k**3 - 30*k**2 = 0. Calculate k.
-6, -1, 0
Let 4*h**5/3 + 80*h**4/3 + 200*h**3/3 - 80*h**2/3 - 68*h = 0. Calculate h.
-17, -3, -1, 0, 1
What is s in 16*s**5/5 - 492*s**4/5 - 1196*s**3/5 + 228*s**2/5 + 236*s + 264/5 = 0?
-2, -1, -1/4, 1, 33
Determine c, given that -2*c**4 - 4*c**3 + 96*c**2 = 0.
-8, 0, 6
Let 2*b**2 + 412*b + 21218 = 0. What is b?
-103
What is b in b**4/4 - 8*b**3 - 17*b**2/2 + 8*b + 33/4 = 0?
-1, 1, 33
Factor 2*f**3/13 + 68*f**2/13 + 640*f/13 + 1024/13.
2*(f + 2)*(f + 16)**2/13
Find k, given that -k**2 + 8*k + 9 = 0.
-1, 9
Factor -c**5/2 + 3*c**4 + 8*c**3 + c**2 - 15*c/2 - 4.
-(c - 8)*(c - 1)*(c + 1)**3/2
Find m such that m**2 - 564*m - 565 = 0.
-1, 565
Factor -2*p**2/3 - 38*p/3 - 12.
-2*(p + 1)*(p + 18)/3
Factor 15*r**2/7 - 5268*r/7 + 1053/7.
3*(r - 351)*(5*r - 1)/7
Factor 3*r**2 - 13116*r + 14335788.
3*(r - 2186)**2
Factor 5*z**2 - 10*z - 715.
5*(z - 13)*(z + 11)
Factor -a**3/8 + 13*a**2/8 + 9*a/8 - 405/8.
-(a - 9)**2*(a + 5)/8
Suppose -12*u**4 - 1456*u**3 + 2456*u**2 - 496*u - 492 = 0. Calculate u.
-123, -1/3, 1
Suppose -6*z**4/7 - 37*z**3/7 + 48*z**2/7 + 93*z/7 + 2 = 0. Calculate z.
-7, -1, -1/6, 2
Factor -2*v**2 + 148*v - 560.
-2*(v - 70)*(v - 4)
Let -5*v**2/3 - 30*v + 95/3 = 0. Calculate v.
-19, 1
Let 4*j**4 - 546*j**3 + 812*j**2 - 270*j = 0. What is j?
0, 1/2, 1, 135
Factor -2*q**2/5 + 644*q/5 - 51842/5.
-2*(q - 161)**2/5
Factor 2*y**2/3 - 5836*y/3 + 4257362/3.
2*(y - 1459)**2/3
Find s such that -s**4/7 - s**3/7 + 3*s**2/7 + s/7 - 2/7 = 0.
-2, -1, 1
Factor -o**4 + 6*o**3 + 108*o**2 - 230*o + 117.
-(o - 13)*(o - 1)**2*(o + 9)
Factor 18*a**3/7 - 3264*a**2/7 + 4328*a/7 - 1440/7.
2*(a - 180)*(3*a - 2)**2/7
Factor -p**2/2 + 93*p/2 - 220.
-(p - 88)*(p - 5)/2
Determine b so that -33*b**4/2 + 39*b**3/2 + 162*b**2 + 102*b - 24 = 0.
-2, -1, 2/11, 4
Factor -y**5/2 - 7*y**4/2 - 6*y**3.
-y**3*(y + 3)*(y + 4)/2
Solve -5*o**4 - 60*o**3 + 5*o**2 + 60*o = 0.
-12, -1, 0, 1
Suppose 2*y**5/9 + 10*y**4/9 - 2*y**3 - 154*y**2/9 - 224*y/9 - 32/3 = 0. What is y?
-4, -3, -1, 4
Suppose -3*x**5 + 9*x**3 - 6*x**2 = 0. Calculate x.
-2, 0, 1
Solve -3*r**4/2 - 17*r**3/2 + 2007*r**2/2 - 667*r/2 = 0 for r.
-29, 0, 1/3, 23
Suppose -2*x**4 - 90*x**3 + 14*x**2 + 618*x - 540 = 0. Calculate x.
-45, -3, 1, 2
Factor -p**5/6 + 3*p**4/2 + 7*p**3/2 + 11*p**2/6.
-p**2*(p - 11)*(p + 1)**2/6
Determine z, given that -6*z**5 + 256*z**4/7 - 402*z**3/7 + 204*z**2/7 - 16*z/7 = 0.
0, 2/21, 1, 4
Let c**5/3 - 13*c**4/6 - 37*c**3/2 - 235*c**2/6 - 199*c/6 - 10 = 0. What is c?
-5/2, -1, 12
Factor 4*d**3 + 248*d**2 + 3300*d - 17424.
4*(d - 4)*(d + 33)**2
Factor -9*f**2 - 10*f - 1.
-(f + 1)*(9*f + 1)
Factor -r**3/3 - 406*r**2 - 1620*r - 4856/3.
-(r + 2)**2*(r + 1214)/3
Let -2*f**2/7 + 2*f - 20/7 = 0. What is f?
2, 5
Find r such that 3*r**3/8 - 1395*r**2/8 + 2781*r/8 - 1389/8 = 0.
1, 463
Factor 4*z**3/5 - 344*z**2/5 + 1332*z + 6480.
4*(z - 45)**2*(z + 4)/5
Factor i**3/2 - 19*i**2/2.
i**2*(i - 19)/2
Factor c**2/4 + 5*c - 144.
(c - 16)*(c + 36)/4
Solve -2*f**2/3 - 14*f - 220/3 = 0.
-11, -10
Factor m**4 - 30*m**3 + 133*m**2 - 204*m + 100.
(m - 25)*(m - 2)**2*(m - 1)
Factor 3*j**4/2 + 15*j**3/2 + 9*j**2/2 - 27*j/2.
3*j*(j - 1)*(j + 3)**2/2
Determine d so that 3*d**3 + 15*d**2 - 18*d = 0.
-6, 0, 1
What is p in 357*p**4 - 2082*p**3 + 1413*p**2 + 372*p - 60 = 0?
-2/7, 2/17, 1, 5
Find x, given that -x**5 + 7*x**3 + 6*x**2 = 0.
-2, -1, 0, 3
Determine l, given that l**3/5 + 7*l**2 - 40*l = 0.
-40, 0, 5
Factor -l**2/2 + 34*l + 365/2.
-(l - 73)*(l + 5)/2
Suppose -10*x**4/3 + 15*x**3 - 10*x**2 - 55*x/3 + 10 = 0. Calculate x.
-1, 1/2, 2, 3
Factor 2*i**2/5 + 16*i/5.
2*i*(i + 8)/5
Suppose -2*n**3/5 + 12*n**2/5 + 6*n + 16/5 = 0. What is n?
-1, 8
Suppose 2*x**3 + 125*x**2 + 1262*x + 600 = 0. What is x?
-50, -12, -1/2
Factor 2*t**2/3 - 214*t + 640/3.
2*(t - 320)*(t - 1)/3
Find i such that -3*i**2/5 + 1368*i/5 - 155952/5 = 0.
228
Factor -o**3 + 26*o**2 - 49*o + 24.
-(o - 24)*(o - 1)**2
Determine v so that -2*v**5/5 - 16*v**4/5 - 14*v**3/5 = 0.
-7, -1, 0
Factor q**2 - 4388*q + 4813636.
(q - 2194)**2
Determine j, given that -21*j**4 + 649*j**3/2 + 546*j**2 + 231*j/2 - 85 = 0.
-1, -5/6, 2/7, 17
Solve 2*c**3/7 + 200*c**2/7 - 202*c/7 = 0 for c.
-101, 0, 1
Factor -4*l**5 - 52*l**4 + 420*l**3 - 684*l**2.
-4*l**2*(l - 3)**2*(l + 19)
Factor -4*l**2 + 2880*l - 518400.
-4*(l - 360)**2
Find j such that -2*j**4 + 8*j**3 + 14*j**2 - 20*j = 0.
-2, 0, 1, 5
Suppose -2*r**4/9 - 20*r**3/9 - 2*r**2 + 320*r/9 + 800/9 = 0. What is r?
-5, -4, 4
