nd c, given that c**4/2 - 109*c**3/2 + 53*c**2 + 108*c = 0.
-1, 0, 2, 108
Determine a so that -3*a**2/4 - 511*a/4 + 171/2 = 0.
-171, 2/3
Suppose z**4/5 + 29*z**3/5 + 27*z**2/5 - 29*z/5 - 28/5 = 0. Calculate z.
-28, -1, 1
Solve -10*i**5 - 109*i**4 - 322*i**3 - 367*i**2 - 172*i - 28 = 0.
-7, -2, -1, -1/2, -2/5
Factor h**3/2 - 266*h**2 - 3246*h - 9792.
(h - 544)*(h + 6)**2/2
Let -j**2 + 1628*j - 662596 = 0. Calculate j.
814
Solve -b**5/2 - 30*b**4 + 62*b**3 - b**2 - 123*b/2 + 31 = 0.
-62, -1, 1
Factor 2*n**4/9 - 20*n**3/3 - 166*n**2/3 - 740*n/9.
2*n*(n - 37)*(n + 2)*(n + 5)/9
Let 11*x**4 - 2051*x**3/3 + 286*x**2/3 + 1484*x/3 + 248/3 = 0. What is x?
-2/3, -2/11, 1, 62
Determine x so that -8*x**5/9 + 50*x**4/9 - 12*x**3 + 104*x**2/9 - 44*x/9 + 2/3 = 0.
1/4, 1, 3
Factor 20*k**4 + 228*k**3 + 468*k**2 + 332*k + 72.
4*(k + 1)**2*(k + 9)*(5*k + 2)
Find i, given that -5*i**2 + 165*i + 170 = 0.
-1, 34
Find a such that 3*a**4/5 - 81*a**3/5 - 12*a**2/5 + 324*a/5 = 0.
-2, 0, 2, 27
Factor -h**4/5 - 26*h**3/5 - 13*h**2 + 92*h/5.
-h*(h - 1)*(h + 4)*(h + 23)/5
Solve -2*u**4 - 432*u**3 - 31524*u**2 - 806560*u - 2147466 = 0 for u.
-71, -3
Factor 28*l**2 - 456*l + 128.
4*(l - 16)*(7*l - 2)
Suppose -3*a**2/2 - 129*a/2 + 135 = 0. What is a?
-45, 2
What is v in 5*v**5 + 60*v**4 - 125*v**3 - 800*v**2 - 180*v + 1040 = 0?
-13, -2, 1, 4
Find n such that 2*n**3/23 + 154*n**2/23 + 852*n/23 = 0.
-71, -6, 0
Factor d**3/5 - 2*d**2/5 - 3*d.
d*(d - 5)*(d + 3)/5
Solve 3*l**4 + 48*l**3 + 192*l**2 = 0.
-8, 0
Factor -2*u**2/9 + 14*u/9.
-2*u*(u - 7)/9
Suppose -n**2/7 - 127*n/7 - 372/7 = 0. What is n?
-124, -3
Let -3*v**3 + 21*v**2 - 36*v = 0. What is v?
0, 3, 4
Suppose 5*y**3 + 310*y**2 - 315*y = 0. What is y?
-63, 0, 1
Suppose 2*z**5 + 72*z**4 + 620*z**3 + 1800*z**2 + 1250*z = 0. Calculate z.
-25, -5, -1, 0
Factor -4*o**2 + 6772*o + 6776.
-4*(o - 1694)*(o + 1)
Determine x so that 2*x**3/9 + 16*x**2/9 + 14*x/9 = 0.
-7, -1, 0
Find y, given that 2*y**3/5 + 58*y**2 - 11594*y/5 + 103462/5 = 0.
-179, 17
Factor -15*v**3 - 280*v**2 - 435*v - 170.
-5*(v + 1)*(v + 17)*(3*v + 2)
Factor a**4/8 - 49*a**3/4 + 2301*a**2/8 + 1225*a/2 + 625/2.
(a - 50)**2*(a + 1)**2/8
Find f, given that -2*f**4/5 - 92*f**3/5 - 262*f**2/5 - 172*f/5 = 0.
-43, -2, -1, 0
Determine r, given that -r**5 + 15*r**4 + 131*r**3/4 + 21*r**2 + 17*r/4 = 0.
-1, -1/2, 0, 17
What is c in 3*c**5 - 15*c**4 + 15*c**3 + 15*c**2 - 18*c = 0?
-1, 0, 1, 2, 3
Let 3*m**5 - 9*m**4 - 15*m**3 + 45*m**2 + 12*m - 36 = 0. What is m?
-2, -1, 1, 2, 3
Factor 5*g**2 - 20*g + 20.
5*(g - 2)**2
Let 2*t**3/3 + 40*t**2/3 + 88*t + 192 = 0. Calculate t.
-8, -6
What is j in 2*j**2/7 - 2150*j/7 + 2148/7 = 0?
1, 1074
Factor -4*o**2/5 - 96*o/5 - 176/5.
-4*(o + 2)*(o + 22)/5
Find t, given that -3*t**3 - 12*t**2 + 57*t - 42 = 0.
-7, 1, 2
Determine r, given that -4*r**4 + 132*r**3 + 576*r**2 + 592*r = 0.
-2, 0, 37
Determine h, given that 3*h**4 + 15*h**3 + 6*h**2 - 24*h = 0.
-4, -2, 0, 1
What is c in -21*c**5 + 351*c**4 + 501*c**3 - 243*c**2 - 480*c - 108 = 0?
-1, -2/7, 1, 18
Factor -d**4/3 - 19*d**3 + d**2 + 169*d/3 - 38.
-(d - 1)**2*(d + 2)*(d + 57)/3
Let -r**4 + 7*r**2 + 6*r = 0. Calculate r.
-2, -1, 0, 3
Factor 4*x**2 + 8784*x + 4822416.
4*(x + 1098)**2
Let 5*t**5 + 35*t**4 - 305*t**3 - 35*t**2 + 300*t = 0. What is t?
-12, -1, 0, 1, 5
Factor y**3 + 5*y**2 - 24*y.
y*(y - 3)*(y + 8)
Factor x**4/2 + 131*x**3/2 - 135*x**2 - 262*x + 532.
(x - 2)**2*(x + 2)*(x + 133)/2
What is t in 2*t**5/17 - 6*t**4/17 + 2*t**3/17 + 6*t**2/17 - 4*t/17 = 0?
-1, 0, 1, 2
Determine b so that 15*b**2 - 880*b + 580 = 0.
2/3, 58
Factor -2*l**2/3 + 74*l/3 - 228.
-2*(l - 19)*(l - 18)/3
Let 4*r**5 + 44*r**4 + 68*r**3 - 44*r**2 - 72*r = 0. What is r?
-9, -2, -1, 0, 1
Suppose 3*z**2/7 - 1188*z/7 + 117612/7 = 0. Calculate z.
198
Find i, given that -2*i**3/3 + 8*i**2/3 + 70*i - 72 = 0.
-9, 1, 12
Factor 8*y**3 + 68*y**2 + 88*y + 28.
4*(y + 1)*(y + 7)*(2*y + 1)
Determine h, given that -3*h**5/5 - 27*h**4/5 + 78*h**3 + 2262*h**2/5 - 15939*h/5 - 17787/5 = 0.
-11, -1, 7
Factor 2*r**3/9 + 10*r**2/9 - 4*r/9 - 16/3.
2*(r - 2)*(r + 3)*(r + 4)/9
Suppose -5*n**2 + 30*n + 80 = 0. Calculate n.
-2, 8
Let -2*m**5 + 8*m**4 + 144*m**3 + 512*m**2 + 736*m + 384 = 0. What is m?
-2, 12
Suppose -3*u**2 + 159*u - 450 = 0. What is u?
3, 50
Suppose -2*u**3/7 - 122*u**2/7 - 304*u - 1120 = 0. Calculate u.
-28, -5
Let 35*o**3 - 360*o**2 + 100*o = 0. Calculate o.
0, 2/7, 10
What is l in -2*l**2 - 566*l = 0?
-283, 0
Find r, given that -2*r**5 - 4*r**4 - 2*r**3 = 0.
-1, 0
Suppose v**3/4 + 681*v**2/2 + 154587*v + 23394166 = 0. Calculate v.
-454
Determine r, given that 7*r**2/4 - 65*r/4 + 9/2 = 0.
2/7, 9
What is i in -4*i**5/5 + 36*i**4/5 + 24*i**3/5 - 152*i**2 + 60*i + 900 = 0?
-3, 5
Factor -3*a**3 - 36*a**2 - 15*a + 198.
-3*(a - 2)*(a + 3)*(a + 11)
What is n in -49*n**2/2 - 105*n - 225/2 = 0?
-15/7
Determine s so that 2*s**2 + 20*s = 0.
-10, 0
Determine w so that 2*w**3/9 + 32*w**2/9 - 2*w/9 - 32/9 = 0.
-16, -1, 1
Factor 4*s**5 + 8*s**4 - 24*s**3 - 16*s**2 + 52*s - 24.
4*(s - 1)**3*(s + 2)*(s + 3)
Find o, given that 5*o**5 + 10*o**4 - 5*o**3 - 10*o**2 = 0.
-2, -1, 0, 1
Determine l, given that -8*l**3 - 2268*l**2 - 160176*l + 80656 = 0.
-142, 1/2
Find j such that j**5 - 4*j**4 + 2*j**3 + 4*j**2 - 3*j = 0.
-1, 0, 1, 3
Factor -2*s**2/9 - 2*s/3 - 4/9.
-2*(s + 1)*(s + 2)/9
Solve -98*w**2/3 - 95*w/3 + 1 = 0.
-1, 3/98
Determine n, given that -3*n**5/2 - 27*n**4/2 - 39*n**3/2 + 99*n**2/2 + 21*n - 36 = 0.
-6, -4, -1, 1
Factor -28*x**3 + 832*x**2 + 1108*x + 248.
-4*(x - 31)*(x + 1)*(7*x + 2)
Let -2*d**5 + 28*d**4 - 70*d**3 + 44*d**2 = 0. Calculate d.
0, 1, 2, 11
What is c in c**5/4 + 55*c**4/2 - 57*c**3/2 - 83*c**2 + 113*c/4 + 111/2 = 0?
-111, -1, 1, 2
Let -2*r**4/3 + 6*r**2 = 0. Calculate r.
-3, 0, 3
What is s in -3*s**3/4 + 330*s**2 - 36951*s + 142572 = 0?
4, 218
Factor -9*t**2/4 + 903*t/4 - 75.
-3*(t - 100)*(3*t - 1)/4
Factor 5*i**3 - 125*i**2 + 935*i - 1815.
5*(i - 11)**2*(i - 3)
Factor o**2 + 112*o - 113.
(o - 1)*(o + 113)
Let 112*j**2/3 - 116*j/3 + 4/3 = 0. Calculate j.
1/28, 1
Suppose 5*i**4 - 485*i**3 + 11505*i**2 + 12985*i - 24010 = 0. What is i?
-2, 1, 49
Find u such that 3*u**2 - 183*u - 186 = 0.
-1, 62
What is g in 712*g**3 - 2*g**2 = 0?
0, 1/356
Determine w so that -4*w**5 - 88*w**4 - 148*w**3 + 240*w**2 = 0.
-20, -3, 0, 1
Let 3*p**2 - 669*p - 1350 = 0. What is p?
-2, 225
Solve 6*v**4 - 39*v**3/2 - 63*v**2/2 + 57*v - 12 = 0.
-2, 1/4, 1, 4
Let -x**3 + 5*x**2 + 125*x + 375 = 0. What is x?
-5, 15
Let -2*g**3/7 + 8*g**2/7 + 10*g/7 = 0. What is g?
-1, 0, 5
Find k, given that -3*k**5/5 - 1038*k**4/5 - 89787*k**3/5 = 0.
-173, 0
Find w such that -4*w**2 + 208*w = 0.
0, 52
Factor q**4 - 131*q**3 + 5805*q**2 - 90601*q + 159014.
(q - 43)**3*(q - 2)
Let 5*a**2 + 370*a - 2400 = 0. What is a?
-80, 6
Let -f**5 - 6*f**4 + 32*f**2 = 0. Calculate f.
-4, 0, 2
Suppose 4*u**3 - 36*u**2 + 32*u = 0. Calculate u.
0, 1, 8
Factor -4*z**2 - 237*z - 59.
-(z + 59)*(4*z + 1)
Factor -t**5/4 - 91*t**4/2 - 8633*t**3/4 - 7921*t**2.
-t**2*(t + 4)*(t + 89)**2/4
What is d in -d**3/3 - 101*d**2/3 - 100*d/3 = 0?
-100, -1, 0
Factor -15*u**4 + 50*u**3 - 20*u**2 - 40*u.
-5*u*(u - 2)**2*(3*u + 2)
Find u, given that u**4/9 - 4*u**3/3 - 20*u**2/3 + 800*u/9 = 0.
-8, 0, 10
Factor w**2 + 14*w + 13.
(w + 1)*(w + 13)
Factor -2*n**2 - 132*n - 2146.
-2*(n + 29)*(n + 37)
Factor 5*w**5 - 15*w**3 - 10*w**2.
5*w**2*(w - 2)*(w + 1)**2
Let 2*w**2/9 - 98*w/9 - 100/9 = 0. What is w?
-1, 50
Let -5*y**4 + 210*y**3 - 3005*y**2 + 16800*y - 32000 = 0. What is y?
5, 16
Find o, given that 26*o**4/7 - 54*o**3/7 + 30*o**2/7 - 2*o/7 = 0.
0, 1/13, 1
Solve -2*c**4 + 28*c**3/3 - 34*c**2/3 + 4*c = 0 for c.
0, 2/3, 1, 3
Find v such that -2*v**2/13 - 116*v/13 - 224/13 = 0.
-56, -2
Find z such that 5*z**2 - 770*z = 0.
0, 154
Find s, given that -10000*s**5 - 900*s**4 + 336*s**3 - 16*s**2 = 0.
-1/4, 0, 2/25
Suppose 49*g**4/9 + 763*g**3/9 - 2864*g**2/3 - 5092*g/9 - 736/9 = 0. What is g?
-23, -2/7, 8
Factor 5*b**2 + 130*b - 280.
5*(b - 2)*(b + 28)
Find l such that -2*l**2/7 - 26*l/7 + 60/7 = 0.
-15, 2
Suppose -3*k**5 + 21*k**4 - 15*k**3 - 21*k**2 + 18*k = 0. Calculate k.
-1, 0, 1, 6
Determine y, given that y**2/5 + 47*y/5 - 48/5 = 0.
-48, 1
Determine w, given that 3*w**3 + 4077*w**2 + 1846881*w + 27