, 0, 15
Let 13*q**4/8 + 45*q**3/4 - 7*q**2/8 = 0. Calculate q.
-7, 0, 1/13
Determine l, given that 3*l**2/2 - 57*l + 108 = 0.
2, 36
What is g in -g**3/2 + 3*g**2/2 - g = 0?
0, 1, 2
Determine c, given that 3*c**5 - 28*c**4 + 73*c**3 - 28*c**2 - 60*c = 0.
-2/3, 0, 2, 3, 5
Suppose -2*h**4/11 + 82*h**3/11 - 48*h**2/11 - 1240*h/11 - 1600/11 = 0. Calculate h.
-2, 5, 40
What is v in -2*v**3 + 4*v**2 = 0?
0, 2
Suppose -f**4/3 + 2*f**3 + 7*f**2/3 - 12*f - 12 = 0. What is f?
-2, -1, 3, 6
Factor -2*n**2/3 + 26*n + 80/3.
-2*(n - 40)*(n + 1)/3
Let -2*w**4 - 114*w**3 = 0. Calculate w.
-57, 0
Solve 5*y**3 + 190*y**2 + 2380*y + 9800 = 0.
-14, -10
Factor -3*x**3/7 - 198*x**2/7 + 219*x/7 + 1206/7.
-3*(x - 3)*(x + 2)*(x + 67)/7
Factor 2*h**4/5 - 572*h**3/5 + 54144*h**2/5 - 331776*h - 3538944/5.
2*(h - 96)**3*(h + 2)/5
Find s such that s**4/5 + 17*s**3/5 + 3*s**2 - 17*s/5 - 16/5 = 0.
-16, -1, 1
Determine y so that 32*y**2 - 1840*y + 26450 = 0.
115/4
Factor j**2 + 552*j - 1665.
(j - 3)*(j + 555)
Factor -2*s**4/13 + 6*s**3/13.
-2*s**3*(s - 3)/13
Solve 13*i**2/2 - 112*i + 51/2 = 0.
3/13, 17
Factor -2*u**5 - 2*u**4 + 10*u**3 - 6*u**2.
-2*u**2*(u - 1)**2*(u + 3)
Factor -10*t**2 + 28*t - 16.
-2*(t - 2)*(5*t - 4)
Find s, given that 2*s**3 + 142*s**2 + 2448*s - 2592 = 0.
-36, 1
Factor 5*h**3 + 586*h**2 + 16933*h - 13924.
(h + 59)**2*(5*h - 4)
Let 4*q**3 - 9268*q**2 + 5373120*q - 5363856 = 0. What is q?
1, 1158
Factor 3*h**5/5 - 1119*h**4 + 2605869*h**3/5 + 2611467*h**2/5.
3*h**2*(h - 933)**2*(h + 1)/5
Factor -3*b**2 + 99*b + 3864.
-3*(b - 56)*(b + 23)
Factor -2*u**2/7 + 2*u/7.
-2*u*(u - 1)/7
Let l**3/8 + 237*l**2/8 + 59*l/2 = 0. What is l?
-236, -1, 0
Factor 2*x**2/15 + 316*x/15 + 314/15.
2*(x + 1)*(x + 157)/15
Suppose -5*s**5 - 5*s**4 + 15*s**3 + 5*s**2 - 10*s = 0. What is s?
-2, -1, 0, 1
Factor 512*o**4/17 - 2880*o**3/17 + 5714*o**2/17 - 4680*o/17 + 1352/17.
2*(o - 2)**2*(16*o - 13)**2/17
Factor 3*v**3 + 21*v**2 + 45*v + 27.
3*(v + 1)*(v + 3)**2
Factor 4*u**4 - 80*u**3 + 68*u**2 + 152*u.
4*u*(u - 19)*(u - 2)*(u + 1)
Find j such that 2*j**3/5 + 16*j**2 = 0.
-40, 0
Let w**3/3 + 388*w**2/3 = 0. What is w?
-388, 0
Solve -9*g**4/2 + 2031*g**3/4 + 171*g**2/2 - 339*g/4 = 0 for g.
-1/2, 0, 1/3, 113
Factor -2*w**3 - 66*w**2 + 72*w + 136.
-2*(w - 2)*(w + 1)*(w + 34)
Find m, given that 3*m**5/8 - 27*m**4/8 - 27*m**3/2 - 3*m**2/2 + 18*m = 0.
-2, 0, 1, 12
Factor 2*m**2/9 + 2354*m/9 - 2360/3.
2*(m - 3)*(m + 1180)/9
Suppose -3*z**2 - 111*z = 0. Calculate z.
-37, 0
Determine z so that -2*z**4 - 60*z**3 - 594*z**2 - 1944*z = 0.
-12, -9, 0
Determine v, given that 2*v**4/3 - 82*v**3 + 7682*v**2/3 - 2318*v - 14884/3 = 0.
-1, 2, 61
Solve -j**4 - 12*j**3 - 13*j**2 + 138*j - 112 = 0.
-8, -7, 1, 2
Factor 2*k**2/9 + 170*k/9.
2*k*(k + 85)/9
Suppose b**5/4 + b**4/4 - 7*b**3/2 + b**2 + 10*b - 8 = 0. What is b?
-4, -2, 1, 2
Determine k, given that -3*k**4 - 135*k**3 - 2142*k**2 - 13524*k - 24696 = 0.
-14, -3
Factor -2*j**2 + 10*j + 28.
-2*(j - 7)*(j + 2)
Factor 4*n**3 + 8*n**2 - 4*n - 8.
4*(n - 1)*(n + 1)*(n + 2)
Suppose 3*s**5/5 - 33*s**4/5 - 63*s**3 - 3*s**2 + 2712*s/5 + 2448/5 = 0. Calculate s.
-4, -1, 3, 17
Solve -4*k**5 - 8*k**4 + 16*k**3 + 8*k**2 - 12*k = 0.
-3, -1, 0, 1
Factor 9*u**3/11 + 138*u**2/11 + 172*u/11 + 56/11.
(u + 14)*(3*u + 2)**2/11
Factor 2*v**5/5 + 328*v**4/5 + 130*v**3 + 324*v**2/5.
2*v**2*(v + 1)**2*(v + 162)/5
Determine i so that 4*i**3 + 1180*i**2 - 7224*i = 0.
-301, 0, 6
Factor 2*d**2 - 18*d + 36.
2*(d - 6)*(d - 3)
What is x in -5*x**4 + 155*x**3 + 1665*x**2 + 5265*x + 5400 = 0?
-3, 40
Find a such that a**3 + 11*a**2 - 26*a = 0.
-13, 0, 2
What is n in -n**5/2 + 109*n**4/4 + 72*n**3 - 163*n**2/4 - 115*n + 57 = 0?
-2, 1/2, 1, 57
Factor -2*s**3 - 32*s**2/7 + 34*s/7 + 12/7.
-2*(s - 1)*(s + 3)*(7*s + 2)/7
Determine u, given that 4*u**4 - 936*u**3 + 53796*u**2 + 114224*u - 167088 = 0.
-3, 1, 118
What is g in -7*g**2/2 - 48*g + 14 = 0?
-14, 2/7
Solve o**4/5 + 629*o**3/5 + 1881*o**2/5 + 1879*o/5 + 626/5 = 0 for o.
-626, -1
Determine a, given that 25*a**4/2 - 2355*a**3/2 + 9677*a**2 + 8310*a + 1700 = 0.
-2/5, 10, 85
Factor 2*y**2/5 + 48*y/5 + 56.
2*(y + 10)*(y + 14)/5
Let -2*h**3 + 96*h**2 - 1050*h - 2500 = 0. Calculate h.
-2, 25
Factor 4*q**2 - 152*q + 1188.
4*(q - 27)*(q - 11)
Solve 3*d**4 - 168*d**3 + 2352*d**2 = 0.
0, 28
Factor z**4/5 + 32*z**3/5 + 184*z**2/5 - 1152*z/5 + 1296/5.
(z - 2)**2*(z + 18)**2/5
Factor 3*r**3 - 255*r**2 - 3*r + 255.
3*(r - 85)*(r - 1)*(r + 1)
Determine a so that 25*a**5/8 - 335*a**4/4 - 1069*a**3/2 + 467*a**2 - 96*a = 0.
-6, 0, 2/5, 32
Factor a**2/2 - 372*a + 742.
(a - 742)*(a - 2)/2
Factor -c**2/4 - 33*c - 635/4.
-(c + 5)*(c + 127)/4
Factor -2*r**4/5 + 28*r**3/5 - 118*r**2/5 + 28*r.
-2*r*(r - 7)*(r - 5)*(r - 2)/5
Solve c**4 - 234*c**3 + 13213*c**2 + 55692*c + 56644 = 0 for c.
-2, 119
Factor 4*d**2 + 88*d.
4*d*(d + 22)
Suppose -x**2/4 - 65*x/4 - 93/2 = 0. Calculate x.
-62, -3
Determine t so that -t**4 - 13*t**3 - 60*t**2 - 116*t - 80 = 0.
-5, -4, -2
Factor r**4/4 + 115*r**3/4 - 2025*r**2/2 + 10625*r - 36250.
(r - 10)**3*(r + 145)/4
Factor o**3/3 - 20*o**2/3 + 103*o/3 - 28.
(o - 12)*(o - 7)*(o - 1)/3
Factor -2*b**2/13 + 48*b/13 - 46/13.
-2*(b - 23)*(b - 1)/13
Factor x**2/2 + 3*x - 7/2.
(x - 1)*(x + 7)/2
Factor 3*a**2/4 - 489*a/4 + 243/2.
3*(a - 162)*(a - 1)/4
Let -2*n**2 + 18 = 0. What is n?
-3, 3
Factor 2*f**4/23 + 10*f**3/23 + 8*f**2/23.
2*f**2*(f + 1)*(f + 4)/23
Let -2*n**3 + 186*n**2/7 - 556*n/7 + 144/7 = 0. What is n?
2/7, 4, 9
Factor 2*w**2 - 118*w + 116.
2*(w - 58)*(w - 1)
Factor g**3/7 - 7*g**2 - 22*g - 104/7.
(g - 52)*(g + 1)*(g + 2)/7
Factor -196*y**5 - 22596*y**4 - 662400*y**3 - 640000*y**2.
-4*y**2*(y + 1)*(7*y + 400)**2
Factor 8*d**3/9 - 8*d**2/9 + 2*d/9.
2*d*(2*d - 1)**2/9
Factor 3*j**2 - 109*j/4 + 9/4.
(j - 9)*(12*j - 1)/4
Suppose -2*o**3/21 + 44*o**2 = 0. What is o?
0, 462
Let 2*u**3 + 26*u**2 - 104*u - 128 = 0. Calculate u.
-16, -1, 4
Suppose -4*g**4 + 128*g**3 + 136*g**2 - 128*g - 132 = 0. Calculate g.
-1, 1, 33
Factor -2*f**4/9 - 26*f**3/9 + 112*f**2/3.
-2*f**2*(f - 8)*(f + 21)/9
Let 27*s**3 + 723*s**2 - 7722*s + 1680 = 0. Calculate s.
-35, 2/9, 8
Factor 5*d**5 - 5*d**3.
5*d**3*(d - 1)*(d + 1)
Factor 2*i**2 + 72*i + 648.
2*(i + 18)**2
What is b in -2*b**3/9 - 124*b**2/9 + 256*b/9 = 0?
-64, 0, 2
What is h in -15*h**4 - 2*h**3 + 15*h**2 + 2*h = 0?
-1, -2/15, 0, 1
Factor -2*k**2/9 + 1196*k/9 + 1198/9.
-2*(k - 599)*(k + 1)/9
Suppose -w**5/4 - 199*w**4/2 + 603*w**3 - 1210*w**2 + 808*w = 0. Calculate w.
-404, 0, 2
Factor -2*a**2 + 88*a.
-2*a*(a - 44)
Find n such that -n**5/8 - 45*n**4/2 - 1350*n**3 - 27000*n**2 = 0.
-60, 0
Factor 4*s**4 - 468*s**3 - 472*s**2.
4*s**2*(s - 118)*(s + 1)
Solve -8*s**4 - 104*s**3 + 6*s**2 + 76*s - 26 = 0.
-13, -1, 1/2
Find m, given that -m**4/4 + 3*m**3/2 - 11*m**2/4 + 3*m/2 = 0.
0, 1, 2, 3
Suppose -4*d**2 + 5732*d - 5728 = 0. What is d?
1, 1432
Solve -625*y**4 + 13625*y**3 + 16950*y**2 + 6860*y + 920 = 0 for y.
-2/5, 23
Let -4*j**5/3 + 116*j**4/3 - 72*j**3 - 8*j**2/3 + 220*j/3 - 36 = 0. What is j?
-1, 1, 27
Factor 5*m**4 - 115*m**3 + 800*m**2 - 1500*m.
5*m*(m - 10)**2*(m - 3)
What is h in 3*h**5 - 93*h**4 - 117*h**3 + 633*h**2 + 1230*h + 576 = 0?
-2, -1, 3, 32
What is x in -3*x**3 - 243*x**2 - 5040*x - 4800 = 0?
-40, -1
Determine h, given that 4*h**5 - 24*h**4 - 4*h**3 + 152*h**2 - 128 = 0.
-2, -1, 1, 4
Let 15*c**4 + 70*c**3 - 35*c**2 - 50*c = 0. What is c?
-5, -2/3, 0, 1
Factor 48672*i**5 + 41808*i**4 + 12098*i**3 + 1340*i**2 + 50*i.
2*i*(3*i + 1)**2*(52*i + 5)**2
Factor -2*m**4/7 - 4*m**3/7 + 10*m**2.
-2*m**2*(m - 5)*(m + 7)/7
Solve g**3 + 41*g**2 + 280*g + 528 = 0.
-33, -4
Factor y**5/2 - 5*y**4/2 - 7*y**3 - y**2 + 13*y/2 + 7/2.
(y - 7)*(y - 1)*(y + 1)**3/2
Determine s so that -s**3/8 - 29*s**2/8 + 4*s + 15/2 = 0.
-30, -1, 2
Factor -j**3/11 - 2*j**2 - 76*j/11 - 72/11.
-(j + 2)**2*(j + 18)/11
Determine u so that 2*u**4/3 - 544*u**3/3 + 1618*u**2/3 - 1076*u/3 = 0.
0, 1, 2, 269
Factor -25*c**2 + 14090*c - 8445.
-5*(c - 563)*(5*c - 3)
Solve 4*w**2 + 20*w = 0 for w.
-5, 0
Factor -l**4/4 + 5*l**3/2 - 13*l**2/4 - 15*l - 9.
-(l - 6)**2*(l + 1)**2/4
Factor -3*o**4 + 39*o**3 + 45*o**2 - 39*o - 42.
-3*(o - 14)*(o - 1)*(o + 1)**2
Factor -2*a**2 - 136*a + 280.
-2*(a - 2)*(a + 70)
Factor -9*t**2/5 + 39*t/5 + 6.
-3*(