Let -972*m**5 + 3213*m**4 - 2880*m**3 + 600*m**2 + 192*m - 48 = 0. What is m?
-1/4, 2/9, 2/3, 2
Factor -d**4/5 - d**3/5 + 7*d**2/5 + 13*d/5 + 6/5.
-(d - 3)*(d + 1)**2*(d + 2)/5
Determine k, given that k**3/5 - 39*k**2/5 + 224*k/5 = 0.
0, 7, 32
Factor -h**5 - 7*h**4 - 14*h**3 - 2*h**2 + 15*h + 9.
-(h - 1)*(h + 1)**2*(h + 3)**2
Find d, given that d**3 + 25*d**2 - 112*d + 116 = 0.
-29, 2
Let 2*h**4 + 114*h**3 + 110*h**2 - 114*h - 112 = 0. What is h?
-56, -1, 1
Factor 3*q**3/7 - 27*q**2/7.
3*q**2*(q - 9)/7
Find p such that -2*p**5/3 + 8*p**3/3 - 4*p**2/3 - 2*p + 4/3 = 0.
-2, -1, 1
Let 6*r**2/5 - 1507*r/5 + 251/5 = 0. What is r?
1/6, 251
Factor -2*k**2/9 - 2*k/3 + 20/9.
-2*(k - 2)*(k + 5)/9
Factor -4*x**2 + 132*x - 128.
-4*(x - 32)*(x - 1)
What is t in 2*t**3/9 - 52*t**2/9 + 182*t/9 - 44/3 = 0?
1, 3, 22
Find p, given that -p**3/3 + 52*p**2/3 - 92*p = 0.
0, 6, 46
Determine t, given that 2*t**3/7 + 20*t**2/7 + 22*t/7 - 20 = 0.
-7, -5, 2
Factor p**2 - 330*p + 27225.
(p - 165)**2
Let -4*k**2 - 20200*k - 25502500 = 0. Calculate k.
-2525
Let 4*t**5 + 60*t**4 + 200*t**3 - 80*t**2 - 864*t - 640 = 0. Calculate t.
-10, -4, -2, -1, 2
Factor -3*o**3 - 61*o**2/5 - 64*o/5 - 4/5.
-(o + 2)**2*(15*o + 1)/5
Determine b so that -45*b**2 - 858*b - 57 = 0.
-19, -1/15
Factor -4*p**2 - 32*p.
-4*p*(p + 8)
Let -t**2/4 + 43*t/2 + 87/4 = 0. Calculate t.
-1, 87
Factor -t**2 + 10*t - 24.
-(t - 6)*(t - 4)
Let 4*c**2/9 - 124*c/9 + 40/3 = 0. What is c?
1, 30
Suppose 3*o**4 - 27*o**3 + 30*o**2 + 108*o - 168 = 0. Calculate o.
-2, 2, 7
Solve -3*j**5 + 104*j**4/5 - 158*j**3/5 + 64*j**2/5 + j = 0 for j.
-1/15, 0, 1, 5
Factor -2*j**2/3 + 34*j - 460/3.
-2*(j - 46)*(j - 5)/3
Solve 3*l**2/4 - 237*l/4 + 117/2 = 0.
1, 78
Factor 3*t**3/2 + 9*t**2 - 255*t/2 + 117.
3*(t - 6)*(t - 1)*(t + 13)/2
Factor 4*b**4 - 1276*b**3 + 2540*b**2 - 1268*b.
4*b*(b - 317)*(b - 1)**2
Find p such that -42*p**5 + 458*p**4 + 86*p**3 - 458*p**2 - 44*p = 0.
-1, -2/21, 0, 1, 11
Solve 6*w**3 - 99*w**2/2 + 108*w - 24 = 0.
1/4, 4
Let -256*o**3/3 + 1568*o**2/3 - 1067*o + 726 = 0. Calculate o.
2, 33/16
Let -166*v**4/3 - v**3/3 + 166*v**2 + 335*v/3 + 2/3 = 0. Calculate v.
-1, -1/166, 2
Factor 15*z**4 - 144*z**3 + 441*z**2 - 456*z + 144.
3*(z - 4)**2*(z - 1)*(5*z - 3)
Factor -2*m**5/3 + 2086*m**4/3 - 180960*m**3 - 181656*m**2.
-2*m**2*(m - 522)**2*(m + 1)/3
Factor 2738*d**3 - 296*d**2 + 8*d.
2*d*(37*d - 2)**2
Factor 2*w**2/9 + 2368*w/9 + 700928/9.
2*(w + 592)**2/9
Suppose 2*h**3/3 - 62*h**2/3 + 176*h - 456 = 0. Calculate h.
6, 19
What is a in -4*a**3 + 12*a + 8 = 0?
-1, 2
Let -4*c**5 - 8*c**4 + 32*c**3 + 72*c**2 + 36*c = 0. Calculate c.
-3, -1, 0, 3
Suppose 3*s**2 - 138*s + 387 = 0. What is s?
3, 43
Determine i so that -i**4 - 39*i**3 - 71*i**2 + 111*i = 0.
-37, -3, 0, 1
What is s in 7*s**2/6 - 137*s/6 + 38/3 = 0?
4/7, 19
Factor x**2/2 + 37*x/6 - 13/3.
(x + 13)*(3*x - 2)/6
Find k such that -2*k**2 + 18956*k - 44916242 = 0.
4739
Let 2*q**5/5 + 2*q**4/5 - 4*q**3/5 - 4*q**2/5 + 2*q/5 + 2/5 = 0. What is q?
-1, 1
Determine m, given that -2*m**5/13 - 10*m**4/13 - 10*m**3/13 + 10*m**2/13 + 12*m/13 = 0.
-3, -2, -1, 0, 1
Find q, given that -5*q**5 + 50*q**4 - 145*q**3 + 100*q**2 = 0.
0, 1, 4, 5
Suppose -r**2/5 - 126*r/5 - 248/5 = 0. Calculate r.
-124, -2
Suppose g**3 - 14*g**2 + 40*g = 0. What is g?
0, 4, 10
Let 2*p**3/7 - 58*p**2/7 + 60*p/7 + 1296/7 = 0. Calculate p.
-4, 6, 27
What is l in -3*l**4 - 24*l**3 - 66*l**2 - 72*l - 27 = 0?
-3, -1
What is u in 2*u**3 + 18*u**2 - 24*u - 40 = 0?
-10, -1, 2
Determine q, given that -147*q**4 + 27258*q**3 - 1255791*q**2 - 724284*q - 103788 = 0.
-2/7, 93
Factor -25992*d**4 + 12540*d**3 + 226*d**2 + d.
-d*(2*d - 1)*(114*d + 1)**2
Factor 2*b**3/7 - 32*b**2/7 + 10*b + 104/7.
2*(b - 13)*(b - 4)*(b + 1)/7
Determine u so that -5*u**4/2 + 15*u**3/2 = 0.
0, 3
What is m in -9025*m**2/4 - 190*m - 4 = 0?
-4/95
Find m, given that m**2/5 - m + 6/5 = 0.
2, 3
Find z such that z**2/6 + 39*z - 236/3 = 0.
-236, 2
Find b such that -3*b**5/2 - 87*b**4/2 - 120*b**3 - 78*b**2 = 0.
-26, -2, -1, 0
Solve 2*r**4 - 2*r**3 - 18*r**2 + 18*r = 0 for r.
-3, 0, 1, 3
Solve -s**2 - 42*s - 41 = 0.
-41, -1
Factor 4*g**3 + 15*g**2 + 12*g - 4.
(g + 2)**2*(4*g - 1)
Suppose 152*x**3 - 554*x**2/5 - 202*x/5 - 4/5 = 0. Calculate x.
-1/4, -2/95, 1
Determine k so that -k**4/4 + 4*k**3 + 3*k**2/4 - 25*k/2 + 8 = 0.
-2, 1, 16
Suppose -28*x**3 + 16*x**2 = 0. What is x?
0, 4/7
Solve -2*o**2 + 894*o + 896 = 0.
-1, 448
Find q such that q**2/3 + 2*q - 40/3 = 0.
-10, 4
Find b such that 3*b**3 - 2919*b**2 = 0.
0, 973
Factor -3*x**2 + 624*x - 32448.
-3*(x - 104)**2
Solve h**4 + 16*h**3 + 11*h**2 - 64*h - 60 = 0.
-15, -2, -1, 2
Factor -2*u**4 - 28*u**3 - 90*u**2 + 112*u + 392.
-2*(u - 2)*(u + 2)*(u + 7)**2
Find u, given that u**2 - 74*u - 75 = 0.
-1, 75
Find o such that -12*o**5 + 27*o**4 - 6*o**3 - 24*o**2 + 18*o - 3 = 0.
-1, 1/4, 1
Let 5*p**5 - 75*p**4 + 360*p**3 - 540*p**2 = 0. What is p?
0, 3, 6
What is r in -2*r**5/15 - 32*r**4/15 + 314*r**3/15 - 208*r**2/15 - 184*r/5 = 0?
-23, -1, 0, 2, 6
Solve 2*z**4/7 + 906*z**3/7 - 2*z**2/7 - 906*z/7 = 0 for z.
-453, -1, 0, 1
Find v such that -v**5 - 35*v**4 - 322*v**3 - 254*v**2 + 323*v + 289 = 0.
-17, -1, 1
Factor -99*j**3 - 394*j**2 + 503*j - 10.
-(j - 1)*(j + 5)*(99*j - 2)
Factor 2*f**2 + 74*f + 140.
2*(f + 2)*(f + 35)
Determine p, given that -p**5/6 + 17*p**4/3 + p**3/2 - 50*p**2/3 - 34*p/3 = 0.
-1, 0, 2, 34
What is n in n**2/7 - 23*n/7 + 22/7 = 0?
1, 22
Solve -2*d**2/9 + 28*d/3 = 0 for d.
0, 42
Solve -4*t**2 + 16*t/7 = 0 for t.
0, 4/7
Find o such that o**3/6 - 11*o**2/6 - 16*o + 126 = 0.
-9, 6, 14
Find i such that -5*i**5 - 25*i**4 - 10*i**3 + 40*i**2 = 0.
-4, -2, 0, 1
Solve j**5/4 + 101*j**4/4 + 936*j**3 + 14534*j**2 + 61516*j - 342732 = 0 for j.
-26, 3
Let 3*f**4/4 - 3*f**3/4 - 12*f**2 + 12*f = 0. Calculate f.
-4, 0, 1, 4
Factor -5*u**4/2 + 75*u**3/2 - 315*u**2/2 + 245*u/2.
-5*u*(u - 7)**2*(u - 1)/2
Factor -8*j**2/13 + 2142*j/13 + 536/13.
-2*(j - 268)*(4*j + 1)/13
Suppose 3*q**2/5 + 4449*q/5 + 4446/5 = 0. Calculate q.
-1482, -1
Find n such that -2*n**4/3 + 52*n**3/3 - 14*n**2 - 208*n/3 + 200/3 = 0.
-2, 1, 2, 25
Factor -2*i**2/15 - 34*i/5 - 20/3.
-2*(i + 1)*(i + 50)/15
Let -k**2/9 - 220*k/9 + 221/9 = 0. Calculate k.
-221, 1
Factor 3*q**3 - 9*q**2 + 6*q.
3*q*(q - 2)*(q - 1)
Solve -4*d**3 + 29*d**2 - 62*d + 40 = 0.
5/4, 2, 4
Find r such that -15*r**2 + 1420*r + 475 = 0.
-1/3, 95
Suppose -4*n**5/21 + 2*n**4/7 + 10*n**3/21 - 26*n**2/21 + 6*n/7 - 4/21 = 0. Calculate n.
-2, 1/2, 1
Factor -f**2 + 14*f - 13.
-(f - 13)*(f - 1)
What is t in 8*t**4/7 + 46*t**3/7 - 20*t**2/7 - 46*t/7 + 12/7 = 0?
-6, -1, 1/4, 1
What is u in -2*u**3/3 - 2*u**2/3 + 14*u + 30 = 0?
-3, 5
Factor 4*p**2 - 16*p - 48.
4*(p - 6)*(p + 2)
Solve -130*p**2 - 358*p/3 + 32/3 = 0 for p.
-1, 16/195
Find c such that 12*c**4 + 84*c**3 - 207*c**2 + 81*c = 0.
-9, 0, 1/2, 3/2
Factor -3*j**4/7 + 279*j**3/7 + 1782*j**2/7.
-3*j**2*(j - 99)*(j + 6)/7
Factor 2*s**4/7 - 18*s**3/7 + 26*s**2/7 + 90*s/7 - 100/7.
2*(s - 5)**2*(s - 1)*(s + 2)/7
Solve -t**2 - 19*t - 90 = 0.
-10, -9
Factor 2*y**2/17 + 8*y/17.
2*y*(y + 4)/17
Suppose 2*h**2/7 + 324*h/7 + 13122/7 = 0. Calculate h.
-81
Factor -i**5 - 3*i**4 + 45*i**3 + 27*i**2 - 648*i + 972.
-(i - 3)**3*(i + 6)**2
Factor -w**3 + 9*w**2/2 + 3*w - 5/2.
-(w - 5)*(w + 1)*(2*w - 1)/2
Factor 2*z**3 + 18*z**2 + 40*z.
2*z*(z + 4)*(z + 5)
Factor -2*w**3 + 78*w**2 + 272*w - 840.
-2*(w - 42)*(w - 2)*(w + 5)
Factor -4*a**2 + 3400*a.
-4*a*(a - 850)
Factor -5*j**5/4 + 15*j**4/2 - 15*j**3 + 25*j**2/2 - 15*j/4.
-5*j*(j - 3)*(j - 1)**3/4
Let -10443*w**5 - 73455*w**4 + 81063*w**3 + 2811*w**2 + 24*w = 0. Calculate w.
-8, -1/59, 0, 1
Factor 9*r**2/2 - 6078*r - 4053/2.
3*(r - 1351)*(3*r + 1)/2
Determine n so that 2*n**2/11 + 226*n/11 - 460/11 = 0.
-115, 2
Determine v so that -v**3/12 + 5*v**2/12 - 7*v/12 + 1/4 = 0.
1, 3
Factor 9*a**3/4 + 159*a**2/4 + 225*a/2 - 42.
3*(a + 4)*(a + 14)*(3*a - 1)/4
Solve 21*z**2 - 9*z = 0 for z.
0, 3/7
Factor -y**4/3 - 4*y**3 - 38*y**2/3 - 4*y + 21.
-(y - 1)*(y + 3)**2*(y + 7)/3
Factor 2*r**4 + 2042*r**3 + 524270*r**2 + 1554486*r.
2*r*(r + 3)*(r + 509)**2
Suppose x**5 + 17*x**4 + 15*x**3 - 17*x**2 - 16*x = 0. What is x?
-16, -1, 0, 1
Find j, given that -j**2/3 + 227*j/3 + 76 = 0.
-1, 228
Determine n, given