- 6*w**3 + 24*w**2 + 3*w - 12 = 0. Calculate w.
-1, 1, 4
Solve -4*s**4 + 104*s**3 + 340*s**2 + 232*s = 0 for s.
-2, -1, 0, 29
Factor -3*t**2/4 - 15*t/2 + 33/4.
-3*(t - 1)*(t + 11)/4
Factor 2*i**2 + 30*i - 200.
2*(i - 5)*(i + 20)
Factor 5*q**3/3 + 4*q**2.
q**2*(5*q + 12)/3
Factor -3*v**3 - 4*v**2.
-v**2*(3*v + 4)
Factor w**2 + 128*w - 260.
(w - 2)*(w + 130)
Factor f**5 - 12*f**4 + 11*f**3.
f**3*(f - 11)*(f - 1)
Let -4*k**3 - 4*k**2 + 8*k = 0. What is k?
-2, 0, 1
Determine t so that 5*t**5 - 165*t**4 + 155*t**3 + 165*t**2 - 160*t = 0.
-1, 0, 1, 32
What is r in 4*r**5 + 4*r**4 = 0?
-1, 0
Suppose j**3/7 - 368*j**2/7 - j/7 + 368/7 = 0. Calculate j.
-1, 1, 368
Suppose -s**5/7 - 16*s**4/7 - 6*s**3 + 76*s**2/7 + 43*s/7 - 60/7 = 0. What is s?
-12, -5, -1, 1
Factor 2*m**3/5 + 2*m**2 - 12*m/5.
2*m*(m - 1)*(m + 6)/5
Factor 3*q**2 - 8637*q - 8640.
3*(q - 2880)*(q + 1)
Factor -4*y**2 + 1080*y - 72900.
-4*(y - 135)**2
Factor -2*z**2/3 - 8*z + 26/3.
-2*(z - 1)*(z + 13)/3
Find k, given that 3*k**5 - 27*k**4 + 90*k**3 - 132*k**2 + 72*k = 0.
0, 2, 3
Factor -34*c**2/13 + 652*c/13 - 114/13.
-2*(c - 19)*(17*c - 3)/13
Find l, given that -5*l**4 + 20*l**3 + 35*l**2 - 170*l + 120 = 0.
-3, 1, 2, 4
Solve 3*x**2 - 126*x = 0.
0, 42
Solve 5*m**2/4 + 1175*m/4 - 295 = 0.
-236, 1
Find c, given that 10*c**4 - 115*c**3 + 135*c**2 + 160*c - 100 = 0.
-1, 1/2, 2, 10
Find j, given that -2142*j**2 - 3*j = 0.
-1/714, 0
Let -3*t**4 - 252*t**3 = 0. Calculate t.
-84, 0
Solve -2*o**5/5 + 68*o**3/5 + 184*o**2/5 + 174*o/5 + 56/5 = 0.
-4, -1, 7
Factor -5*d**3 - 5*d**2 + 130*d - 120.
-5*(d - 4)*(d - 1)*(d + 6)
Let 3*q**2/7 + 24*q/7 - 27/7 = 0. What is q?
-9, 1
Let f**5 + 14*f**4 + 29*f**3 - 44*f**2 = 0. Calculate f.
-11, -4, 0, 1
Determine h so that 2*h**2 + 18*h + 28 = 0.
-7, -2
Factor 3*x**4 - 15*x**3 + 24*x**2 - 12*x.
3*x*(x - 2)**2*(x - 1)
Factor -3*m**3/4 + 3957*m**2/4 - 7905*m/4 + 3951/4.
-3*(m - 1317)*(m - 1)**2/4
Solve -2*f**3/15 + 52*f**2/15 + 16*f = 0.
-4, 0, 30
Let 9*t**3/2 - 12*t**2 - 99*t/2 - 15 = 0. What is t?
-2, -1/3, 5
Let 5*m**4 + 45*m**3 - 390*m**2 - 320*m + 3360 = 0. Calculate m.
-14, -3, 4
What is r in -20*r**2 + 5*r + 25 = 0?
-1, 5/4
Factor -n**2 - 28*n + 29.
-(n - 1)*(n + 29)
Find c, given that 5*c**2 - 25*c - 70 = 0.
-2, 7
Let -4*l**5 + 8*l**4 + 128*l**3 - 256*l**2 - 1024*l + 2048 = 0. Calculate l.
-4, 2, 4
Factor -40*z**3 - 114*z**2 - 62*z + 12.
-2*(z + 1)*(z + 2)*(20*z - 3)
Solve -3*g**2/7 - 183*g/7 = 0.
-61, 0
Determine i, given that 50*i**5 + 2540*i**4 + 26608*i**3 + 88480*i**2 + 58656*i + 10944 = 0.
-38, -6, -2/5
Factor 2*l**2/17 + 5064*l/17 + 3205512/17.
2*(l + 1266)**2/17
Find r, given that 2*r**4/3 - 376*r**3/9 - 910*r**2/9 - 8*r/9 + 520/9 = 0.
-2, -1, 2/3, 65
Solve -h**2/2 - 95*h - 189/2 = 0.
-189, -1
Solve 3*o**3/5 + 33*o**2/5 + 57*o/5 + 27/5 = 0.
-9, -1
Let 5*s**5 - 45*s**4 + 65*s**3 + 45*s**2 - 70*s = 0. Calculate s.
-1, 0, 1, 2, 7
Factor -11*c**4 + 9*c**3 + 57*c**2 + 43*c + 6.
-(c - 3)*(c + 1)**2*(11*c + 2)
Factor 4*j**2/3 - 44*j/3 - 104/3.
4*(j - 13)*(j + 2)/3
Solve a**4/2 + 37*a**3/4 - 186*a**2 + 983*a/4 + 341/2 = 0.
-31, -1/2, 2, 11
Let 18*u**5/5 - 147*u**4/5 + 144*u**3/5 + 1782*u**2/5 - 5994*u/5 + 5589/5 = 0. What is u?
-23/6, 3
Find a such that -2*a**5/5 - 8*a**4/5 - 2*a**3/5 + 4*a**2 + 8*a/5 - 16/5 = 0.
-2, 1
Solve x**3/3 + 116*x**2/3 - 39*x = 0 for x.
-117, 0, 1
Solve g**3 + 6*g**2 - 135*g - 972 = 0.
-9, 12
Factor -z**3/2 - 3*z**2 - 3*z/2 + 5.
-(z - 1)*(z + 2)*(z + 5)/2
Let 243*z**4 - 6102*z**3 + 41547*z**2 - 40680*z + 10800 = 0. What is z?
5/9, 12
Factor -5*s**2 + 125*s - 330.
-5*(s - 22)*(s - 3)
Factor -7*s**2/4 - 349*s/2 + 50.
-(s + 100)*(7*s - 2)/4
Solve -7*r**3 + 26*r**2 + 8*r = 0.
-2/7, 0, 4
Find n such that -5*n**3 + 7*n**2 + n - 3 = 0.
-3/5, 1
Factor 6*f**3 - 8*f**2 + 2*f.
2*f*(f - 1)*(3*f - 1)
Solve -5*a**5 - 30*a**4 - 40*a**3 + 30*a**2 + 45*a = 0 for a.
-3, -1, 0, 1
Factor -4*k**2 + 560*k + 1136.
-4*(k - 142)*(k + 2)
Factor -75*z**3 + 140*z**2 - 55*z - 10.
-5*(z - 1)**2*(15*z + 2)
Find g, given that -6*g**5 - 46*g**4 + 62*g**3 + 1110*g**2 + 2200*g + 1000 = 0.
-5, -2, -2/3, 5
Find k, given that -5*k**4 + 20*k**3 = 0.
0, 4
Factor -81*a**4 - 117*a**3 - 40*a**2 - 4*a.
-a*(a + 1)*(9*a + 2)**2
Let -2*y**3/5 - 144*y**2 - 17280*y - 691200 = 0. What is y?
-120
Solve 50*b**4/21 - 20*b**3/3 + 46*b**2/7 - 8*b/3 + 8/21 = 0 for b.
2/5, 1
Find k such that -k**3/5 - 2*k**2/5 - k/5 = 0.
-1, 0
Find w, given that -w**3 - 1483*w**2 - 549080*w + 550564 = 0.
-742, 1
Suppose 2*m**3 - 22*m**2 - 112*m - 120 = 0. Calculate m.
-2, 15
Solve o**5/5 - 21*o**4/5 + 23*o**3 - 27*o**2 - 116*o/5 + 156/5 = 0 for o.
-1, 1, 2, 6, 13
Factor -o**2 - 114*o - 3249.
-(o + 57)**2
Suppose 3*b**4/7 - 165*b**3/7 + 1812*b**2/7 + 12780*b/7 + 10800/7 = 0. What is b?
-4, -1, 30
Let 2*o**4/9 + 4*o**3/3 - 190*o**2 + 1800*o = 0. Calculate o.
-36, 0, 15
Factor 4418*i**2 + 376*i + 8.
2*(47*i + 2)**2
Factor -2*s**2/11 - 8*s/11 + 90/11.
-2*(s - 5)*(s + 9)/11
Suppose 2*f**5 - 112*f**4/3 + 90*f**3 - 76*f**2 + 64*f/3 = 0. What is f?
0, 2/3, 1, 16
Determine r so that -r**2/3 - 10*r - 48 = 0.
-24, -6
Determine h, given that -2*h**3/7 + 16*h**2 + 232*h/7 = 0.
-2, 0, 58
Factor 4*w**2/3 - 412*w/3 + 4048/3.
4*(w - 92)*(w - 11)/3
Factor -2*s**2 - 440*s - 24200.
-2*(s + 110)**2
Suppose -9*y**5 + 3*y**4/2 + 55*y**3/2 + 27*y**2/2 - 9*y/2 - 1 = 0. What is y?
-1, -1/6, 1/3, 2
Factor -3*d**3 - 6*d**2 + 45*d.
-3*d*(d - 3)*(d + 5)
Find b, given that -2*b**5/3 + 64*b**4/3 - 188*b**3 + 240*b**2 + 450*b = 0.
-1, 0, 3, 15
Solve 2*b**5/9 - 296*b**4/9 + 10034*b**3/9 + 67468*b**2/9 + 139832*b/9 + 94864/9 = 0.
-2, 77
Factor 3*o**4 + 18*o**3 - 3*o**2 - 18*o.
3*o*(o - 1)*(o + 1)*(o + 6)
Solve -45*n**3 - 825*n**2 - 4715*n - 7935 = 0.
-23/3, -3
Find j, given that -j**4/4 + 183*j**3/2 + 735*j**2/4 + 92*j = 0.
-1, 0, 368
What is h in -h**2 + 102*h + 880 = 0?
-8, 110
Determine v so that v**4/3 - 5*v**3/3 + 2*v**2 = 0.
0, 2, 3
Find i such that 10*i**4 + 526*i**3 - 252*i**2 - 2104*i + 848 = 0.
-53, -2, 2/5, 2
Solve -3*y**3 - 33*y**2 + 75*y - 39 = 0 for y.
-13, 1
Solve -b**3/7 - 20*b**2/7 = 0.
-20, 0
Suppose -6*a**5/5 - 28*a**4/5 - 34*a**3/5 - 12*a**2/5 = 0. What is a?
-3, -1, -2/3, 0
Factor -n**2/4 - 805*n/4 - 803/2.
-(n + 2)*(n + 803)/4
Find o, given that -40*o**5 - 1230*o**4 - 5445*o**3 + 66395*o**2 - 15480*o - 8100 = 0.
-18, -1/4, 1/2, 5
Factor -4*n**4 - 276*n**3 + 4740*n**2 - 24700*n + 42000.
-4*(n - 5)**3*(n + 84)
Factor -2*h**3/17 + 76*h**2/17 - 202*h/17 - 280/17.
-2*(h - 35)*(h - 4)*(h + 1)/17
Suppose -3*u**2 - 1140*u + 3447 = 0. Calculate u.
-383, 3
Solve -2*p**5 + 24*p**4 - 88*p**3 + 84*p**2 + 90*p - 108 = 0.
-1, 1, 3, 6
Let -3*n**2 + 183*n - 354 = 0. What is n?
2, 59
Find o, given that 2*o**4/11 - 18*o**3/11 - 8*o**2/11 + 72*o/11 = 0.
-2, 0, 2, 9
Factor -3*g**2 + 366*g - 2736.
-3*(g - 114)*(g - 8)
Find a, given that -2*a**3/3 - 20*a**2/3 = 0.
-10, 0
Let 2*c**2 - 122*c - 124 = 0. Calculate c.
-1, 62
Solve 8*t**4/7 - 50*t**3/7 - 44*t**2/7 + 2*t = 0.
-1, 0, 1/4, 7
Suppose -5*h**4 - 115*h**3 - 685*h**2 + 55*h + 3630 = 0. Calculate h.
-11, -3, 2
Factor 68*t**2/3 + 148*t - 224/3.
4*(t + 7)*(17*t - 8)/3
Find x, given that 4*x**4 + 892*x**3 + 51048*x**2 + 146960*x + 96800 = 0.
-110, -2, -1
Factor -o**2 + 38*o - 37.
-(o - 37)*(o - 1)
Factor 2*w**3/11 + 2*w**2/11 - 170*w/11 + 50.
2*(w - 5)**2*(w + 11)/11
Factor -5*s**2 - 780*s + 1580.
-5*(s - 2)*(s + 158)
Suppose -k**2/6 - 7*k/6 + 24 = 0. What is k?
-16, 9
Factor -d**4/4 + 27*d**3/4 + 123*d**2/2 - 68*d.
-d*(d - 34)*(d - 1)*(d + 8)/4
Solve -40*i**2/11 - 802*i/11 - 40/11 = 0.
-20, -1/20
What is d in -2*d**4/3 + 32*d**3/3 - 26*d**2/3 - 20*d = 0?
-1, 0, 2, 15
Solve 50*s**5 - 760*s**4 + 2568*s**3 + 2432*s**2 + 512*s = 0 for s.
-2/5, 0, 8
Factor 6*j**4 + 176*j**3 + 1024*j**2 - 4096*j.
2*j*(j + 16)**2*(3*j - 8)
Factor 3*u**3/5 - 9*u**2 - 288*u/5 - 48.
3*(u - 20)*(u + 1)*(u + 4)/5
Determine r, given that -3*r**4/4 + 3*r**3 + 147*r**2/4 - 12*r - 135 = 0.
-5, -2, 2, 9
Factor -c**3 - 94*c**2 + 191*c - 96.
-(c - 1)**2*(c + 96)
Factor -508006521*t**2 + 90156*t - 4.
-(22539*t - 2)**2
Factor -2*i**2 - 448*i + 450.
-2*(i - 1)*(i + 225)
Factor 2*i**2/7 - 18*i/7 - 20/7.
2*(i - 10)*(i + 1)/7
Suppose 188*d**4 + 184*d**3 - 4*d**2 = 0. Calculate d.
-1, 0, 1/47
Let -v**4/6 + 7*v**3/6 - 5*v**2/2 + 