 3)
Find x, given that -3*x**4 - 678*x**3 - 38307*x**2 = 0.
-113, 0
What is i in -3*i**2 - 6*i = 0?
-2, 0
Suppose 2*t**5/9 - 28*t**4/9 + 58*t**3/9 + 112*t**2/9 - 88*t/3 = 0. What is t?
-2, 0, 2, 3, 11
Find g, given that 6*g**5 + 39*g**4 + 18*g**3 - 159*g**2 - 84*g + 180 = 0.
-5, -2, 1, 3/2
Factor 2*r**5/7 + 10*r**4/7 - 18*r**3/7 - 26*r**2/7 + 8*r - 24/7.
2*(r - 1)**3*(r + 2)*(r + 6)/7
Find x such that 2*x**2/3 + 1103*x/6 - 46 = 0.
-276, 1/4
Find n such that 2*n**3/13 + 132*n**2/13 + 2178*n/13 = 0.
-33, 0
Factor 3*n**3 - 39*n + 36.
3*(n - 3)*(n - 1)*(n + 4)
Find c, given that 4*c**2 - 328*c - 1376 = 0.
-4, 86
Solve f**4/7 - 10*f**3/7 + 16*f**2/7 = 0 for f.
0, 2, 8
Let t**4/2 + 241*t**3/2 + 594*t**2 + 946*t + 472 = 0. What is t?
-236, -2, -1
Determine t so that -3*t**3/4 - 177*t**2/4 - 759*t/2 - 588 = 0.
-49, -8, -2
Determine y, given that -27*y**5/5 + 42*y**4 + 318*y**3/5 - 156*y**2/5 - 291*y/5 - 54/5 = 0.
-1, -2/9, 1, 9
Let -4*n**5/7 + 104*n**4/7 - 48*n**3 - 2720*n**2/7 - 3200*n/7 = 0. What is n?
-2, 0, 10, 20
Factor 3*t**2 + 510*t + 507.
3*(t + 1)*(t + 169)
Factor -4*z**4 - 268*z**3 - 4872*z**2 - 12800*z - 8192.
-4*(z + 1)*(z + 2)*(z + 32)**2
Factor -5*j**2 - 13395*j + 13400.
-5*(j - 1)*(j + 2680)
Factor 3*z**2 - 60*z.
3*z*(z - 20)
Factor 3*w**2 + 51*w + 198.
3*(w + 6)*(w + 11)
Factor -4*z**2 + 1704*z - 181476.
-4*(z - 213)**2
Factor 11250*o**2 - 1200*o + 32.
2*(75*o - 4)**2
Factor v**4/3 + 5*v**3/6 - 11*v**2/6 + 2*v/3.
v*(v - 1)*(v + 4)*(2*v - 1)/6
Factor 2*s**5 + 2*s**4 - 12*s**3 - 8*s**2 + 16*s.
2*s*(s - 2)*(s - 1)*(s + 2)**2
Let -5*g**5 - 375*g**4 - 7915*g**3 - 33445*g**2 - 50400*g - 24500 = 0. Calculate g.
-35, -2, -1
Solve t**3 - 30*t**2 + 99*t + 130 = 0.
-1, 5, 26
Factor -s**2/6 + 7*s/6 + 247/3.
-(s - 26)*(s + 19)/6
Factor 3*n**2 - 9*n - 12.
3*(n - 4)*(n + 1)
Determine s, given that -s**4 - 3*s**3 + 16*s**2 - 12*s = 0.
-6, 0, 1, 2
Factor -5*g**3 - 400*g**2 + 2540*g - 3440.
-5*(g - 4)*(g - 2)*(g + 86)
Let 18*t**2/11 + 26*t/11 + 8/11 = 0. What is t?
-1, -4/9
Factor 2*x**3/7 + 384*x**2/7 + 1510*x/7 + 1128/7.
2*(x + 1)*(x + 3)*(x + 188)/7
Factor -32*a**2 + 168*a - 441/2.
-(8*a - 21)**2/2
Solve 4*h**4 - 4*h**3 = 0.
0, 1
Determine r, given that -2*r**3/5 - 258*r**2/5 - 3318*r/5 - 2254 = 0.
-115, -7
Let -2*u**3/5 - 232*u**2/5 + 3542*u/5 - 2548 = 0. What is u?
-130, 7
Find s, given that 17*s**3 - 20*s**2 - 17*s + 20 = 0.
-1, 1, 20/17
Factor 2*l**2/5 - 4*l/5.
2*l*(l - 2)/5
What is a in -5*a**2 - 3070*a - 471245 = 0?
-307
Find q, given that -2*q**4/11 - 12*q**3/11 + 16*q**2/11 + 12*q/11 - 14/11 = 0.
-7, -1, 1
Solve 3*a**5/7 + 6*a**4/7 - 69*a**3/7 - 12*a**2 + 48*a - 192/7 = 0 for a.
-4, 1, 4
Solve 4*t**4 - 164*t**3 + 156*t**2 + 164*t - 160 = 0 for t.
-1, 1, 40
Factor 30*m**3 + 5*m**2 - 30*m - 5.
5*(m - 1)*(m + 1)*(6*m + 1)
Suppose -41772*w**2 + 708*w - 3 = 0. Calculate w.
1/118
Determine b, given that 2*b**4 - 104*b**3 - 950*b**2 - 700*b + 6000 = 0.
-5, 2, 60
Solve 2*t**3/11 + 96*t**2/11 + 1536*t/11 + 8192/11 = 0.
-16
Solve -2*j**5/9 - 8*j**4/9 + 40*j**3/9 - 20*j**2/9 - 38*j/9 + 28/9 = 0 for j.
-7, -1, 1, 2
Let 2*j**4 + 12*j**3 - 182*j**2 = 0. Calculate j.
-13, 0, 7
Determine q so that 5*q**4/2 - 5*q**3/2 - 5*q**2/2 + 5*q/2 = 0.
-1, 0, 1
Find n such that -4*n**4 + 60*n**3 - 216*n**2 - 432*n + 2592 = 0.
-3, 6
Determine g, given that g**2/2 - 73*g/2 + 36 = 0.
1, 72
Find t, given that 3*t**3 - 300*t**2 + 591*t - 294 = 0.
1, 98
Factor 2*y**2/17 - 126*y/17 + 1840/17.
2*(y - 40)*(y - 23)/17
Factor 80*w**4 - 360*w**3 + 405*w**2 - 135*w.
5*w*(w - 3)*(4*w - 3)**2
Factor 2*b**3 + 4*b**2 - 58*b - 60.
2*(b - 5)*(b + 1)*(b + 6)
Determine t so that -6*t**2 - 296*t - 98 = 0.
-49, -1/3
Factor i**3/4 - i**2/2 - 319*i/4 + 605.
(i - 11)**2*(i + 20)/4
Factor 2*a**3 - 1954*a**2 + 476286*a + 478242.
2*(a - 489)**2*(a + 1)
Factor 162*p**4/7 - 198*p**3/7 + 38*p**2/7 - 2*p/7.
2*p*(p - 1)*(9*p - 1)**2/7
Suppose -2*d**5 - 646*d**4/7 - 1324*d**3/7 - 176*d**2/7 = 0. Calculate d.
-44, -2, -1/7, 0
Suppose 4*g**2 + 4312*g + 4308 = 0. What is g?
-1077, -1
Factor 3*y**3 + 281*y**2 - 96*y - 188.
(y - 1)*(y + 94)*(3*y + 2)
Find i, given that 5*i**3 - 1400*i**2 + 99385*i - 193210 = 0.
2, 139
Factor 2*n**5/3 + 10*n**4/3 - 80*n**2/3 - 160*n/3 - 32.
2*(n - 3)*(n + 2)**4/3
Factor -4*h**3 + 76*h**2 - 140*h + 68.
-4*(h - 17)*(h - 1)**2
Solve -g**3 - 286*g**2 - 20449*g = 0 for g.
-143, 0
Solve 2*p**5/9 + 20*p**4/9 + 8*p**3 + 12*p**2 + 6*p = 0 for p.
-3, -1, 0
Factor -3*v**4 + 3*v**3 + 3*v**2 - 3*v.
-3*v*(v - 1)**2*(v + 1)
Factor 2*i**3 + 4188*i**2 + 2192418*i.
2*i*(i + 1047)**2
Factor -3*t**2 + 294*t - 7203.
-3*(t - 49)**2
Factor 5*y**2 + 25*y - 30.
5*(y - 1)*(y + 6)
Solve -5*b**3 - 770*b**2 + 3140*b - 3160 = 0.
-158, 2
Suppose p**5 + 261*p**4 + 22170*p**3 + 564794*p**2 - 4015947*p + 6344721 = 0. What is p?
-89, 3
Factor r**5 + 22*r**4 + 166*r**3 + 520*r**2 + 625*r + 250.
(r + 1)**2*(r + 5)**2*(r + 10)
Suppose t**2 + 7*t + 12 = 0. What is t?
-4, -3
Find f such that -4*f**2 - 128*f = 0.
-32, 0
Factor 4*u**3 + 52*u**2 + 204*u + 252.
4*(u + 3)**2*(u + 7)
Suppose -2*z**3/5 + 2802*z**2/5 - 1308534*z/5 + 203695126/5 = 0. What is z?
467
Solve 4*i**2 + 412*i - 416 = 0 for i.
-104, 1
Determine b so that 4*b**4 + 300*b**3 + 5472*b**2 - 5776*b = 0.
-38, 0, 1
Suppose 2*z**5 + 16*z**4 + 24*z**3 - 4*z**2 - 26*z - 12 = 0. What is z?
-6, -1, 1
Factor 2*o**5 - 2*o**4 - 2*o**3 + 2*o**2.
2*o**2*(o - 1)**2*(o + 1)
Factor -z**5 - 17*z**4 - 42*z**3 + 414*z**2 + 891*z - 3645.
-(z - 3)**2*(z + 5)*(z + 9)**2
Factor 4*o**2 + 584*o - 588.
4*(o - 1)*(o + 147)
Factor -3*g**4 - 3*g**3 + 141*g**2 + 135*g - 1350.
-3*(g - 6)*(g - 3)*(g + 5)**2
Factor -q**2 - 13*q - 36.
-(q + 4)*(q + 9)
Find f, given that -22*f**3/3 + 6*f**2 + 10*f - 26/3 = 0.
-13/11, 1
Factor -2*u**2 + 38*u - 120.
-2*(u - 15)*(u - 4)
Find i such that 2*i**4/3 + 24*i**3 + 758*i**2/3 + 576*i - 2560/3 = 0.
-16, -5, 1
Determine d, given that d**5/4 - d**4/4 - 31*d**3/4 + d**2/4 + 15*d/2 = 0.
-5, -1, 0, 1, 6
Factor 2*u**2/5 - 512*u/5 + 1016/5.
2*(u - 254)*(u - 2)/5
Factor -s**2/6 + 3*s - 17/6.
-(s - 17)*(s - 1)/6
Factor 7*b**4 + 3*b**3 - 4*b**2.
b**2*(b + 1)*(7*b - 4)
Solve -2*v**2/3 + 144*v - 856/3 = 0 for v.
2, 214
Factor -f**2/3 + 42*f - 125/3.
-(f - 125)*(f - 1)/3
Determine c, given that -12*c**4 - 4456*c**3/7 + 4332*c**2/7 + 640*c/7 - 432/7 = 0.
-54, -1/3, 2/7, 1
Find l, given that 4*l**3 - 184*l**2 = 0.
0, 46
Factor 5*o**4 + 385*o**3 + 9750*o**2 + 77740*o - 87880.
5*(o - 1)*(o + 26)**3
Factor -u**3 + 23*u**2 + 440*u - 10164.
-(u - 22)**2*(u + 21)
Solve w**3/6 + 22*w**2/3 + 129*w/2 + 132 = 0.
-33, -8, -3
Let -2*w**2/5 - 128*w/5 - 366/5 = 0. Calculate w.
-61, -3
What is i in -5*i**2 - 115*i - 110 = 0?
-22, -1
Determine x so that -x**3/3 + 7*x**2/3 - 12 = 0.
-2, 3, 6
Suppose 3*h**2/4 + 105*h/2 - 1350 = 0. What is h?
-90, 20
Let -2*n**4 + 70*n**3 - 498*n**2 + 794*n - 364 = 0. What is n?
1, 7, 26
Solve 2*u**4/3 + 4*u**3/3 - 38*u**2/3 + 56*u/3 - 8 = 0.
-6, 1, 2
Factor 4*f**2 + 68*f - 336.
4*(f - 4)*(f + 21)
Suppose v**5/4 + 39*v**4/8 + 41*v**3/4 - 59*v**2/8 - 33*v/2 + 17/2 = 0. What is v?
-17, -2, 1/2, 1
Suppose -o**3/3 - 8*o**2/3 - 7*o/3 = 0. What is o?
-7, -1, 0
Find l, given that -3*l**2/8 + 33*l - 726 = 0.
44
Factor 3*k**3 - 33*k**2.
3*k**2*(k - 11)
Determine a, given that 2*a**3/7 - 3838*a**2/7 + 7670*a/7 - 3834/7 = 0.
1, 1917
Determine n so that -3*n**5 + 6*n**4 - 3*n**3 = 0.
0, 1
Suppose 2*t**5/13 - 174*t**3/13 + 164*t**2/13 + 3864*t/13 - 7056/13 = 0. Calculate t.
-7, 2, 6
Solve 4*s**3 + 93*s**2 + 5*s - 414 = 0.
-23, -9/4, 2
Factor 4*k**3 - 156*k**2 + 1596*k - 1444.
4*(k - 19)**2*(k - 1)
Factor -y**2 + 29*y - 154.
-(y - 22)*(y - 7)
Let -3*q**5 + 63*q**4 - 216*q**3 + 204*q**2 = 0. Calculate q.
0, 2, 17
Factor -25*x**3 - 52*x**2 - 4*x.
-x*(x + 2)*(25*x + 2)
Factor -b**5 - 7*b**4 - 5*b**3 + 7*b**2 + 6*b.
-b*(b - 1)*(b + 1)**2*(b + 6)
Determine h so that h**5/3 + 31*h**4/3 + 287*h**3/3 + 689*h**2/3 - 96*h - 240 = 0.
-15, -12, -4, -1, 1
What is n in 4*n**5/9 - 202*n**4/9 + 484*n**3/9 - 64*n**2/3 = 0?
0, 1/2, 2, 48
Factor 4*w**4/3 - 8*w**3/3 - 4*w**2/3 + 8*w/3.
4*w*(w - 2)*(w - 1)*(w + 1)/3
Solve 3*m**5 + 6*m**4 + 3*m**3 = 0 for m.
-1, 0
Factor -h**2 - 414*h - 42849.
-(h + 207)**2
Solve 2*b**4 + 394*b**3/7 + 264*b**2 - 14080*b/7 - 2048/7 = 0.
-16, -1/7, 