w**4 + 49160*w**3 + 20552*w**2 - 2948*w + 92 = 0.
-1, 1/17, 23
Factor 4*n**4 - 12*n**3 - 36*n**2 - 20*n.
4*n*(n - 5)*(n + 1)**2
Suppose -18*a**3 - 132*a**2 + 515*a/2 - 225/2 = 0. What is a?
-9, 5/6
What is w in -w**5/7 - 20*w**4/7 + 43*w**3/7 - 22*w**2/7 = 0?
-22, 0, 1
Factor 2*r**2 + 16*r - 96.
2*(r - 4)*(r + 12)
Factor 2*r**3/9 + 22*r**2/9 - 52*r/9.
2*r*(r - 2)*(r + 13)/9
Suppose -2*i**3/5 - 3508*i**2/5 + 7022*i/5 - 3512/5 = 0. Calculate i.
-1756, 1
Factor -3*o**2 + 138*o + 288.
-3*(o - 48)*(o + 2)
Solve -3*y**3 - 12*y**2 = 0 for y.
-4, 0
Factor -c**3 - 5*c**2 + 104*c.
-c*(c - 8)*(c + 13)
Factor 22*x**4 - 4*x**3 - 22*x**2 + 4*x.
2*x*(x - 1)*(x + 1)*(11*x - 2)
Determine m, given that 2*m**4/5 + 6*m**3/5 + 4*m**2/5 = 0.
-2, -1, 0
Solve -15*g**3 + 10*g**2 = 0.
0, 2/3
Let -4*w**3/5 + 48*w**2/5 + 92*w - 504/5 = 0. What is w?
-7, 1, 18
Determine q so that q**2/2 - 131*q + 17161/2 = 0.
131
Determine w, given that w**4/2 + 5*w**3/2 + 3*w**2/2 - 9*w/2 = 0.
-3, 0, 1
Determine m so that 2*m**3/5 + 16*m**2/5 + 2*m - 28/5 = 0.
-7, -2, 1
Let -4*n**4/13 - 50*n**3/13 - 68*n**2/13 - 22*n/13 = 0. Calculate n.
-11, -1, -1/2, 0
Factor -8*s**3/5 - 65*s**2 - 808*s/5 - 76.
-(s + 2)*(s + 38)*(8*s + 5)/5
Factor -5*b**3 + 30*b**2 + 95*b - 120.
-5*(b - 8)*(b - 1)*(b + 3)
Determine d so that 2*d**3 + 92*d**2 - 190*d + 96 = 0.
-48, 1
Let -45*b**4 - 75*b**3 + 55*b**2 + 55*b + 10 = 0. What is b?
-2, -1/3, 1
Determine q so that -4*q**3 + 16*q**2 = 0.
0, 4
Find l, given that l**2 - 6*l - 27 = 0.
-3, 9
Solve -2*r**3 - 206*r**2 + 2036*r + 2240 = 0 for r.
-112, -1, 10
Determine k, given that k**4 - 916*k**3 + 207924*k**2 + 842720*k + 846400 = 0.
-2, 460
Find l such that -3*l**4 + 516*l**3 + 1056*l**2 - 2064*l - 4176 = 0.
-2, 2, 174
Suppose -p**4/2 - 11*p**3/2 + 25*p**2/2 - 13*p/2 = 0. What is p?
-13, 0, 1
Factor -147*i**3 + 2268*i**2 + 1332*i + 192.
-3*(i - 16)*(7*i + 2)**2
Determine f, given that -f**4 + 14*f**3 + 16*f**2 - 14*f - 15 = 0.
-1, 1, 15
Factor -6*b**4/7 + 774*b**3/7 - 4860*b**2 + 77112*b - 190512.
-6*(b - 42)**3*(b - 3)/7
Suppose 4*x**2 - 276*x + 536 = 0. Calculate x.
2, 67
Solve -u**3/5 + 48*u**2/5 + 63*u + 486/5 = 0.
-3, 54
Factor 596*m**2 + 40*m.
4*m*(149*m + 10)
Factor 5*s**3 + 75*s**2 - 165*s + 85.
5*(s - 1)**2*(s + 17)
Find b, given that 3*b**3 - 384*b**2 + 9159*b + 211722 = 0.
-14, 71
Factor -4*t**3 - 18384*t**2 - 36756*t - 18376.
-4*(t + 1)**2*(t + 4594)
Suppose -4*a**4 - 15*a**3 + 80*a**2 - 75*a + 14 = 0. Calculate a.
-7, 1/4, 1, 2
Solve 6*o**3 - 3278*o**2 + 7620*o - 2176 = 0 for o.
1/3, 2, 544
Factor -5*h**2 + 37070*h - 68709245.
-5*(h - 3707)**2
Suppose -65*g**3 - 75*g**2 = 0. Calculate g.
-15/13, 0
What is m in -2*m**2/5 + 174*m/5 - 68 = 0?
2, 85
Let -2*b**2 + 5656*b - 3998792 = 0. What is b?
1414
Factor -a**3 + 24*a**2 + 79*a + 54.
-(a - 27)*(a + 1)*(a + 2)
Factor -2*o**3 - 754*o**2 - 75030*o - 736758.
-2*(o + 11)*(o + 183)**2
Let -2*i**5/19 - 22*i**4/19 - 68*i**3/19 - 92*i**2/19 - 58*i/19 - 14/19 = 0. Calculate i.
-7, -1
Solve -2*p**5 + 40*p**4 - 140*p**3 + 200*p**2 - 130*p + 32 = 0.
1, 16
Solve -x**5/4 - 2*x**4 - 3*x**3/2 + 27*x**2 + 351*x/4 + 81 = 0.
-3, 4
Solve -4*h**5 + 32*h**4 - 64*h**3 + 8*h**2 + 68*h - 40 = 0.
-1, 1, 2, 5
Suppose -u**4/5 - 14*u**3/5 - 33*u**2/5 + 112*u/5 - 64/5 = 0. Calculate u.
-8, 1
Solve 4*d**3/5 + 9*d**2/5 - 2*d - 3/5 = 0 for d.
-3, -1/4, 1
What is b in -3*b**2/7 - 3606*b/7 - 1083603/7 = 0?
-601
Let 400*u**3/7 + 1040*u**2/7 + 516*u/7 + 72/7 = 0. What is u?
-2, -3/10
Factor -n**4/11 - 26*n**3/11 - 45*n**2/11 + 72*n/11.
-n*(n - 1)*(n + 3)*(n + 24)/11
Determine y, given that -y**2 + 466*y - 54289 = 0.
233
Suppose 5*g**2 - 80*g + 195 = 0. Calculate g.
3, 13
Suppose -h**2/3 + 18*h + 120 = 0. What is h?
-6, 60
Factor -5*d**2 + 530*d - 11625.
-5*(d - 75)*(d - 31)
Determine c so that -3*c**4 - 288*c**3 - 8832*c**2 - 92160*c - 307200 = 0.
-40, -8
Factor -m**2/8 - 119*m/8 + 15.
-(m - 1)*(m + 120)/8
Factor -2*c**3/7 - 4*c**2/7 + 6*c/7.
-2*c*(c - 1)*(c + 3)/7
Factor 3*b**3 + 15*b**2 - 132*b + 180.
3*(b - 3)*(b - 2)*(b + 10)
Factor -5*h**2 + 65*h - 150.
-5*(h - 10)*(h - 3)
Factor 4284*i**3 + 2316*i**2 + 116*i - 60.
4*(3*i + 1)**2*(119*i - 15)
Determine q, given that -2*q**3/9 + 580*q**2/9 - 4352*q/3 + 8512 = 0.
12, 266
Determine f so that -15*f**3/4 + 3*f**2/4 + 15*f/4 - 3/4 = 0.
-1, 1/5, 1
Let g**3 + 23*g**2 + 160*g + 300 = 0. What is g?
-10, -3
Factor -2*s**3 - 16*s**2 + 22*s + 36.
-2*(s - 2)*(s + 1)*(s + 9)
Determine r so that -r**2/10 + 61*r + 611/10 = 0.
-1, 611
Factor -a**4 + 16*a**3/3 - 17*a**2/3 + 4*a/3.
-a*(a - 4)*(a - 1)*(3*a - 1)/3
Factor -5*y**2 + 20.
-5*(y - 2)*(y + 2)
Factor p**4/4 + 7*p**3/4 + p**2 - 3*p.
p*(p - 1)*(p + 2)*(p + 6)/4
Factor -4*b**3 + 28*b**2 + 112*b + 80.
-4*(b - 10)*(b + 1)*(b + 2)
What is y in -3*y**4 - 9*y**3 - 3*y**2 + 9*y + 6 = 0?
-2, -1, 1
Factor p**4/2 - p**3 - 7*p**2/2 + 10*p - 6.
(p - 2)**2*(p - 1)*(p + 3)/2
Factor -4*o**3 - 20*o**2 + 8*o + 96.
-4*(o - 2)*(o + 3)*(o + 4)
Factor -5*j**2 - 175*j.
-5*j*(j + 35)
Determine d so that d**4/2 + 2*d**3 + 3*d**2/2 = 0.
-3, -1, 0
Solve -2*o**2/13 - 744*o/13 = 0.
-372, 0
Factor v**3/3 - 28*v**2 - v/3 + 28.
(v - 84)*(v - 1)*(v + 1)/3
Factor 3*x**4/2 + 195*x**3 + 15975*x**2/2 + 107250*x + 453750.
3*(x + 10)**2*(x + 55)**2/2
Factor 3*d**3 - 33*d**2 - 3*d + 33.
3*(d - 11)*(d - 1)*(d + 1)
Factor -3*r**4/4 + 15*r**3/2 - 27*r**2/4.
-3*r**2*(r - 9)*(r - 1)/4
Factor -2*g**4/3 - 98*g**3/3 - 32*g**2.
-2*g**2*(g + 1)*(g + 48)/3
Determine q so that 11*q**4 + 152*q**3 - 28*q**2 = 0.
-14, 0, 2/11
Solve 15*q**5/7 + 39*q**4/7 - 258*q**3/7 - 624*q**2/7 + 288*q/7 = 0 for q.
-4, -3, 0, 2/5, 4
Factor 3*p**2/5 - 552*p/5 + 1092/5.
3*(p - 182)*(p - 2)/5
Determine j, given that -5*j**4/4 - 269*j**3/2 - 14889*j**2/4 - 5512*j + 2809 = 0.
-53, -2, 2/5
Find r such that 4*r**2 + 1184*r + 87616 = 0.
-148
Factor 3*z**3 + 18*z**2 - 39*z - 126.
3*(z - 3)*(z + 2)*(z + 7)
What is l in -2*l**2/9 - 26*l/9 + 20/3 = 0?
-15, 2
Factor m**3/4 - 93*m**2/4 + 450*m + 4375.
(m - 50)**2*(m + 7)/4
Let 125*y**5 + 6400*y**4 + 13685*y**3 + 10358*y**2 + 3340*y + 392 = 0. What is y?
-49, -1, -2/5
Find i, given that 12*i**5/5 + 212*i**4/5 - 16*i**3 - 144*i**2/5 = 0.
-18, -2/3, 0, 1
What is a in 3*a**4/2 + 189*a**3/2 - 1233*a**2/2 + 651*a/2 + 1035 = 0?
-69, -1, 2, 5
Find r, given that 210*r**4 - 262*r**3 - 1452*r**2/5 - 264*r/5 + 16/5 = 0.
-2/5, 1/21, 2
Let -72*g**4/7 + 24*g**3 - 50*g**2/7 + 4*g/7 = 0. Calculate g.
0, 1/6, 2
Factor 2*z**2/5 + 522*z/5.
2*z*(z + 261)/5
Factor -3*w**5/8 - 3*w**4/8 + 3*w**3 + 9*w**2/2.
-3*w**2*(w - 3)*(w + 2)**2/8
Determine a so that 2*a**4 + 34*a**3 + 156*a**2 + 280*a + 176 = 0.
-11, -2
Let -r**3/6 + 40*r**2/3 + 86*r = 0. What is r?
-6, 0, 86
Determine i so that 9*i**3 + 3750*i**2 + 391872*i + 259584 = 0.
-208, -2/3
Determine b so that -5*b**3 - 125*b**2 + 750*b = 0.
-30, 0, 5
Factor r**3 - 8*r**2 + 13*r - 6.
(r - 6)*(r - 1)**2
Factor -5*y**2 - 145*y + 3010.
-5*(y - 14)*(y + 43)
Solve -60*g**4 - 3369*g**3 + 5532*g**2 - 717*g - 1386 = 0.
-231/4, -2/5, 1
Factor -5*i**3 - 30*i**2 - 25*i.
-5*i*(i + 1)*(i + 5)
Determine t so that -2*t**4 - 44*t**3 + 118*t**2 + 504*t - 576 = 0.
-24, -3, 1, 4
Let 3*r**3 - 12*r**2 - 57*r - 42 = 0. What is r?
-2, -1, 7
Factor -p**2/4 + 49*p/4 - 12.
-(p - 48)*(p - 1)/4
Let 5*g**4/3 + 15*g**3 + 125*g**2/3 + 45*g + 50/3 = 0. Calculate g.
-5, -2, -1
Factor -v**3 + v**2 + 49*v - 49.
-(v - 7)*(v - 1)*(v + 7)
Suppose 2*n**5/5 - 66*n**4/5 + 356*n**3/5 + 3084*n**2/5 + 4826*n/5 + 2166/5 = 0. Calculate n.
-3, -1, 19
Factor 3*b**3/5 + 72*b**2/5 - 3*b/5 - 72/5.
3*(b - 1)*(b + 1)*(b + 24)/5
Let 5*x**4 + 90*x**3 + 300*x**2 + 280*x = 0. What is x?
-14, -2, 0
Factor -m**4/12 + 5*m**3/4 - 47*m**2/12 - 21*m/4.
-m*(m - 9)*(m - 7)*(m + 1)/12
Factor 5*g**2 + 1680*g - 1685.
5*(g - 1)*(g + 337)
Factor 2*l**3/9 + 4*l**2/3 - 80*l/9 - 128/3.
2*(l - 6)*(l + 4)*(l + 8)/9
Factor -d**2/3 + 130*d/3.
-d*(d - 130)/3
Let -2*c**4 - 192*c**3 - 378*c**2 - 188*c = 0. Calculate c.
-94, -1, 0
Factor -2*v**2/21 + 8*v/21 - 2/7.
-2*(v - 3)*(v - 1)/21
Factor -c**3/4 - 17*c**2/4 + c/4 + 17/4.
-(c - 1)*(c + 1)*(c + 17)/4
Solve -9*j**3 - 714*j**2 - 13920*j + 9600 = 0.
-40, 2/3
Factor -d**4 - 312*d**3 + 943*d**2 - 630*d.
-d*(d - 2)*(d - 1)*(d + 315)
Factor w**3 + 9621*w**2 + 30854547*w + 32983510743.
