 0.
1, 3
Factor -2*p**5/7 + 64*p**4/7 - 576*p**3/7 + 13824*p/7.
-2*p*(p - 12)**3*(p + 4)/7
Find p, given that 4*p**3/3 - 16*p**2 = 0.
0, 12
Factor 5*y**2 - 470*y.
5*y*(y - 94)
Solve -11*d**4/5 + 13*d**3/5 + 4*d**2 - 4*d/5 = 0.
-1, 0, 2/11, 2
Factor 3*b**3/5 - 13*b**2/5 - 6*b.
b*(b - 6)*(3*b + 5)/5
Factor -2*i**3 - 8*i**2.
-2*i**2*(i + 4)
Let -5*y**5 + 135*y**4 - 115*y**3 - 395*y**2 + 120*y + 260 = 0. What is y?
-1, 1, 2, 26
Solve 52*n**5 - 206*n**4 - 280*n**3 + 38*n**2 + 60*n = 0 for n.
-1, -1/2, 0, 6/13, 5
Factor 2*x**3/7 + 1060*x**2/7 + 144594*x/7 + 1089936/7.
2*(x + 8)*(x + 261)**2/7
Factor -5*q**2 - 85*q - 360.
-5*(q + 8)*(q + 9)
Let 5*l**3 - 120*l**2 - 155*l + 750 = 0. Calculate l.
-3, 2, 25
Find b such that b**5 - b**4 - 13*b**3 + b**2 + 12*b = 0.
-3, -1, 0, 1, 4
Let 5*b**4 - 80*b**3 + 355*b**2 + 20*b - 2100 = 0. Calculate b.
-2, 5, 6, 7
Determine v, given that 10*v**3/9 + 106*v**2/9 + 310*v/9 + 50/3 = 0.
-5, -3/5
Suppose u**5/3 - 41*u**4/3 - 131*u**3/3 - 47*u**2/3 + 130*u/3 + 88/3 = 0. What is u?
-2, -1, 1, 44
Factor 2*j**2/3 - 182*j/3 - 320.
2*(j - 96)*(j + 5)/3
Suppose 2*m**5/15 - 4*m**4/15 - 14*m**3/5 - 12*m**2/5 = 0. What is m?
-3, -1, 0, 6
Find z, given that -3*z**2/7 + 27*z - 1458/7 = 0.
9, 54
Find c, given that -2*c**5/5 - 8*c**4/5 + 22*c**3/5 - 12*c**2/5 = 0.
-6, 0, 1
Factor -36*n**4/7 - 8*n**3/7.
-4*n**3*(9*n + 2)/7
Suppose -5*m**4 - 340*m**3 - 6105*m**2 - 10890*m = 0. Calculate m.
-33, -2, 0
Determine z, given that -2*z**3 - 233*z**2/4 + 211*z/4 + 15/2 = 0.
-30, -1/8, 1
Solve -5*v**4 - 25*v**3 + 165*v**2 - 135*v = 0.
-9, 0, 1, 3
Factor 4*a**4 + 12*a**3 - 100*a**2 + 84*a.
4*a*(a - 3)*(a - 1)*(a + 7)
Factor v**2/5 - 8*v + 39/5.
(v - 39)*(v - 1)/5
Factor -5*u**2 + 2415*u.
-5*u*(u - 483)
Factor d**4/7 - d**2 - 6*d/7.
d*(d - 3)*(d + 1)*(d + 2)/7
Let c**3/5 + 18*c**2/5 + 83*c/5 + 66/5 = 0. Calculate c.
-11, -6, -1
Find k such that -k**3/4 + k**2/4 + 2*k - 3 = 0.
-3, 2
Solve -9*a**3/4 - 127*a**2/2 - 131*a - 26 = 0 for a.
-26, -2, -2/9
Factor -2*c**3/3 + 30*c**2 - 112*c + 328/3.
-2*(c - 41)*(c - 2)**2/3
Let -a**4/8 + 547*a**3/2 - 897627*a**2/4 + 163667323*a/2 - 89526025681/8 = 0. Calculate a.
547
Let -3*c**5 + 72*c**4 + 156*c**3 = 0. Calculate c.
-2, 0, 26
Solve -5*s**2 - 3230*s - 521645 = 0 for s.
-323
Factor -w**4/2 - 15*w**3/2 + 17*w**2.
-w**2*(w - 2)*(w + 17)/2
Solve -10*l**4 - 926*l**3 - 20778*l**2 + 30550*l - 8836 = 0 for l.
-47, 2/5, 1
Factor 2*u**5/7 - 2*u**4 + 22*u**3/7 - 10*u**2/7.
2*u**2*(u - 5)*(u - 1)**2/7
Determine k so that -3*k**3 + 7*k**2/3 + 56*k/3 + 4 = 0.
-2, -2/9, 3
Let -2*a**5/7 - 32*a**4/7 + 328*a**3/7 + 4*a**2 - 2630*a/7 - 2300/7 = 0. What is a?
-23, -2, -1, 5
Factor 5*n**2 + 435*n.
5*n*(n + 87)
Find i, given that 2*i**4/13 + 62*i**3/13 - 68*i**2/13 - 128*i/13 = 0.
-32, -1, 0, 2
Suppose -y**3/2 + 7*y**2/2 - 15*y/2 + 9/2 = 0. What is y?
1, 3
Determine m, given that -m**5/8 + 49*m**4/8 + 3*m**3/8 - 145*m**2/8 - 49*m/4 = 0.
-1, 0, 2, 49
Find t, given that -27*t**5/8 + 33*t**4/8 - 3*t**3/4 = 0.
0, 2/9, 1
Factor 4*v**2/7 + 66*v - 702/7.
2*(v + 117)*(2*v - 3)/7
Let -5*q**5 - 585*q**4 + 1785*q**3 - 1795*q**2 + 600*q = 0. What is q?
-120, 0, 1
Factor -a**4 - 15*a**3 + 92*a**2 - 156*a + 80.
-(a - 2)**2*(a - 1)*(a + 20)
Factor 3*c**3/2 - 3*c**2 - 3*c/2 + 3.
3*(c - 2)*(c - 1)*(c + 1)/2
Factor 2*s**2/5 - 434*s/5 - 876/5.
2*(s - 219)*(s + 2)/5
What is t in 2*t**5/15 - 16*t**4/5 + 196*t**3/15 - 32*t**2/5 - 114*t/5 = 0?
-1, 0, 3, 19
Suppose -4*o**2/3 + 24*o - 60 = 0. Calculate o.
3, 15
Suppose -v**4/4 + v**3/4 = 0. What is v?
0, 1
Determine n so that -n**2/4 + 2137*n - 4566769 = 0.
4274
What is i in i**5/6 - 5*i**4/2 + 25*i**3/6 + 5*i**2/2 - 13*i/3 = 0?
-1, 0, 1, 2, 13
Determine w so that -2*w**4/7 - 50*w**3/7 - 432*w**2/7 - 1408*w/7 - 1024/7 = 0.
-8, -1
Suppose c**4/3 + 14*c**3 + 253*c**2/3 + 88*c - 560/3 = 0. Calculate c.
-35, -4, 1
Factor 5*g**2/2 - 3760*g + 1413760.
5*(g - 752)**2/2
Find v, given that -4*v**4/3 - 2*v**3/3 + 6*v**2 + 8*v/3 - 8/3 = 0.
-2, -1, 1/2, 2
Factor 9*o**3/7 - 57*o**2/7 - 45*o/7 + 3.
3*(o - 7)*(o + 1)*(3*o - 1)/7
Solve 12*g**5 + 64*g**4 + 12*g**3 - 184*g**2 + 96*g = 0 for g.
-4, -3, 0, 2/3, 1
Factor 2*c**2/11 + 3568*c/11 + 1591328/11.
2*(c + 892)**2/11
Factor -4*f**3 - 52*f**2 - 160*f.
-4*f*(f + 5)*(f + 8)
Let -2*n**4/3 - 28*n**3/3 - 70*n**2/3 - 44*n/3 = 0. Calculate n.
-11, -2, -1, 0
Find l, given that -l**4 + 9*l**3 - 4*l**2 - 36*l + 32 = 0.
-2, 1, 2, 8
Find r such that r**5/5 - 16*r**4/5 - 30*r**3 - 248*r**2/5 - 23*r = 0.
-5, -1, 0, 23
Factor -4*a**3 - 64*a**2 - 244*a - 264.
-4*(a + 2)*(a + 3)*(a + 11)
What is t in -25*t**4 - 160*t**3 - 135*t**2 + 220*t + 100 = 0?
-5, -2, -2/5, 1
Let -4*c**5 - 48*c**4 - 4*c**3 + 648*c**2 - 1072*c + 480 = 0. Calculate c.
-10, -6, 1, 2
Find l such that 2*l**4 + 5*l**3 - 23*l**2 - 38*l + 24 = 0.
-4, -2, 1/2, 3
Factor 3*b**5 - 45*b**4 + 222*b**3 - 492*b**2 + 504*b - 192.
3*(b - 8)*(b - 2)**3*(b - 1)
Factor i**3/2 + 3*i**2/2 + i.
i*(i + 1)*(i + 2)/2
Factor -4*j**4 - 464*j**3 + 468*j**2.
-4*j**2*(j - 1)*(j + 117)
Factor 2*s**2/7 - 60*s/7 + 58/7.
2*(s - 29)*(s - 1)/7
Factor -6*w**5 - 15*w**4 - 9*w**3 + 3*w**2 + 3*w.
-3*w*(w + 1)**3*(2*w - 1)
Determine g so that -4*g**5/7 - 8*g**4/7 + 8*g**3 - 32*g**2/7 - 52*g/7 + 40/7 = 0.
-5, -1, 1, 2
Factor -5*j**3 - 85*j**2 + 290*j - 200.
-5*(j - 2)*(j - 1)*(j + 20)
Factor -3*o**2 + 12*o + 63.
-3*(o - 7)*(o + 3)
Let 2*u**3 - 24*u**2 + 82*u - 60 = 0. What is u?
1, 5, 6
Factor 6*p**3 - 26*p**2 - 20*p.
2*p*(p - 5)*(3*p + 2)
Factor -3*u**4 - 135*u**3 + 141*u**2 + 135*u - 138.
-3*(u - 1)**2*(u + 1)*(u + 46)
Factor 49*r**5/2 - 133*r**4 + 277*r**3/2 + 114*r**2 + 18*r.
r*(r - 3)**2*(7*r + 2)**2/2
Determine c, given that c**2/4 + c/4 - 15/2 = 0.
-6, 5
Factor -63*v**4/4 - 1545*v**3/2 - 9361*v**2 + 2738*v.
-v*(3*v + 74)**2*(7*v - 2)/4
Solve 5*m**3 - 95*m**2 - 580*m - 480 = 0 for m.
-4, -1, 24
Determine s so that 4*s**5 - 12*s**4 - 68*s**3 + 156*s**2 - 80*s = 0.
-4, 0, 1, 5
Let 5*t**5/6 - 785*t**4/6 + 27095*t**3/6 + 290165*t**2/6 + 406700*t/3 + 275560/3 = 0. What is t?
-4, -1, 83
Solve 44*j**5/3 - 388*j**4/3 - 512*j**3/3 - 80*j**2/3 = 0.
-1, -2/11, 0, 10
Factor -3*o**3/4 - 9765*o**2 - 42380100*o - 61309878000.
-3*(o + 4340)**3/4
Find g, given that 12*g**4 - 130*g**3 + 190*g**2 + 80*g - 72 = 0.
-2/3, 1/2, 2, 9
Find u such that -3*u**4/5 + 48*u**3/5 - 261*u**2/5 + 552*u/5 - 336/5 = 0.
1, 4, 7
Factor 4*d**3 - 132*d**2 - 276*d - 140.
4*(d - 35)*(d + 1)**2
Let -4*o**4 - 28*o**3 + 172*o**2 - 68*o - 264 = 0. Calculate o.
-11, -1, 2, 3
Factor -x**3/3 + 30*x**2 - 344*x/3.
-x*(x - 86)*(x - 4)/3
Factor 2*v**2 + 1212*v + 6010.
2*(v + 5)*(v + 601)
Factor -a**3/3 + 4*a**2 - 12*a + 32/3.
-(a - 8)*(a - 2)**2/3
Solve 8*v**3/9 - 2632*v**2/9 + 2626*v/9 - 656/9 = 0 for v.
1/2, 328
Determine r, given that 5*r**2 - 4210*r = 0.
0, 842
Find s such that -s**2 + 804*s - 803 = 0.
1, 803
Solve 39*s**3/2 + 981*s**2/2 + 1296*s = 0 for s.
-288/13, -3, 0
Find b, given that 5*b**2 + 8825*b + 8820 = 0.
-1764, -1
Let 5*i**3/3 + 55*i**2/3 + 50*i/3 = 0. Calculate i.
-10, -1, 0
What is q in q**4 + 39*q**3/4 + 141*q**2/4 + 56*q + 33 = 0?
-3, -11/4, -2
Factor -k**3/4 - 2*k**2 + 5*k.
-k*(k - 2)*(k + 10)/4
Determine m so that -4*m**2/5 + 544*m + 2724/5 = 0.
-1, 681
Determine n so that -2*n**2 + 372*n - 736 = 0.
2, 184
Factor -h**3/3 + 124*h**2/3 + 84*h.
-h*(h - 126)*(h + 2)/3
Suppose 3*j**3/4 - 402*j**2 + 213855*j/4 + 217083/2 = 0. Calculate j.
-2, 269
Let -4*q**5 + 164*q**4 - 2328*q**3 + 12376*q**2 - 11492*q - 26364 = 0. What is q?
-1, 3, 13
Factor -2*q**2/17 - 28*q/17 + 870/17.
-2*(q - 15)*(q + 29)/17
What is w in 22*w**4/5 - 6*w**3 + 8*w**2/5 = 0?
0, 4/11, 1
Solve -3*l**2 - 2442*l + 2445 = 0 for l.
-815, 1
Factor 2*u**2/5 - 336*u + 70560.
2*(u - 420)**2/5
Factor 5*j**4 + 5*j**3 - 25*j**2 + 15*j.
5*j*(j - 1)**2*(j + 3)
Let -s**5/2 - 56*s**4 - 1674*s**3 - 5832*s**2 = 0. Calculate s.
-54, -4, 0
Let w**4/7 + 3*w**3/7 - 69*w**2/7 - 143*w/7 - 72/7 = 0. What is w?
-9, -1, 8
Suppose 5*y**3 + 2563*y**2 - 3596*y + 1028 = 0. What is y?
-514, 2/5, 1
Factor 2*l**5/7 + 22*l**4/7 - 480*l**3/7 + 1656*l**2/7.
2*l**2*(l - 6)**2*(l + 23)/7
What is t in -4*t**2 - 32*t - 28 = 0?
-7, -1
Determine l, given that 6*l**5/11 - 30*l**4/11 + 18*l**3/11 + 30*l**2/11 - 24*l/11 = 0.
-1, 0, 1, 4
Solve -20*o**2/7