 9
Suppose 2*m**5 + 58*m**4/3 + 206*m**3/3 + 106*m**2 + 60*m = 0. What is m?
-3, -2, -5/3, 0
Factor 2*r**3 + 52*r**2 + 306*r.
2*r*(r + 9)*(r + 17)
Solve -4*h**4 - 44*h**3 - 168*h**2 - 256*h - 128 = 0 for h.
-4, -2, -1
Factor 16*z**2/3 + 10*z/3 - 26/3.
2*(z - 1)*(8*z + 13)/3
Factor -5*h**2 + 670*h + 4200.
-5*(h - 140)*(h + 6)
Factor 3*j**4 + 3*j**3 - 3*j**2 - 3*j.
3*j*(j - 1)*(j + 1)**2
Determine n so that 3*n**3 + 9*n**2 - 12 = 0.
-2, 1
Factor s**5/2 + 8*s**4 + 63*s**3/2 - 8*s**2 - 32*s.
s*(s - 1)*(s + 1)*(s + 8)**2/2
Suppose r**2/4 - 21*r/4 = 0. Calculate r.
0, 21
Factor 125*p**5/9 - 400*p**4/9 + 485*p**3/9 - 278*p**2/9 + 76*p/9 - 8/9.
(p - 1)**2*(5*p - 2)**3/9
Solve 5*g**5 + 15*g**4 - 40*g**3 - 60*g**2 + 80*g = 0.
-4, -2, 0, 1, 2
Determine x, given that -3*x**3 + 720*x**2 - 1428*x = 0.
0, 2, 238
Let -l**2/2 + 133*l - 17689/2 = 0. Calculate l.
133
Suppose 98*f**5 + 434*f**4 + 22*f**3 - 1010*f**2 + 528*f - 72 = 0. Calculate f.
-3, 2/7, 1
Factor 2*c**4/3 + 76*c**3/3 + 312*c**2 + 1584*c + 2880.
2*(c + 6)**3*(c + 20)/3
Find c, given that -c**2/5 + 764*c/5 - 145924/5 = 0.
382
Solve -3*c**5/7 - 90*c**4/7 - 114*c**3 - 132*c**2 + 9801*c/7 - 7986/7 = 0.
-11, 1, 2
Solve -2*m**2/7 + 18*m/7 - 36/7 = 0.
3, 6
Solve 4*q**5/7 + 64*q**4/7 + 232*q**3/7 + 16*q**2 - 236*q/7 - 176/7 = 0.
-11, -4, -1, 1
What is v in -44*v**3 - 608*v**2 - 2044*v + 392 = 0?
-7, 2/11
Factor 3*f**4 + 36*f**3/5 + 27*f**2/5 + 6*f/5.
3*f*(f + 1)**2*(5*f + 2)/5
Solve -2*w**2/9 + 1856*w/9 = 0 for w.
0, 928
Factor 33*m**2/5 + 498*m/5 - 96.
3*(m + 16)*(11*m - 10)/5
Let -c**5/4 - 5*c**4/4 + 35*c**3/4 + 85*c**2/4 - 17*c/2 - 20 = 0. Calculate c.
-8, -2, -1, 1, 5
Factor 22*w**3/3 - 70*w**2/3 - 128*w + 24.
2*(w - 6)*(w + 3)*(11*w - 2)/3
Let -12*h**5 - 27*h**4 + 54*h**3 + 87*h**2 + 18*h = 0. What is h?
-3, -1, -1/4, 0, 2
Factor -2*p**3 + 278*p**2 - 7600*p - 150176.
-2*(p - 76)**2*(p + 13)
Let -36*i**4 + 152*i**3 - 212*i**2 + 112*i - 16 = 0. Calculate i.
2/9, 1, 2
Factor -b**2/3 - 64*b/3 - 700/3.
-(b + 14)*(b + 50)/3
Let 2*g**5/9 - 2*g**4/9 - 14*g**3/9 + 2*g**2/9 + 4*g/3 = 0. Calculate g.
-2, -1, 0, 1, 3
Factor 4*j**5/3 + 32*j**4/3 - 12*j**3.
4*j**3*(j - 1)*(j + 9)/3
Find f, given that 48*f**4 - 1896*f**3 + 915*f**2 + 816*f + 117 = 0.
-1/4, 1, 39
Determine c, given that 2*c**4/3 - 50*c**3 + 672*c**2 - 7552*c/3 = 0.
0, 8, 59
Find m, given that -m**5/4 - 153*m**4/4 - 3453*m**3/2 - 40945*m**2/2 - 374325*m/4 - 595125/4 = 0.
-69, -5
Factor 2*m**2/11 - 62*m/11.
2*m*(m - 31)/11
Factor -i**2 - 98*i - 1501.
-(i + 19)*(i + 79)
What is v in -16*v**5 - 196*v**4 - 768*v**3 - 980*v**2 - 200*v = 0?
-5, -2, -1/4, 0
Factor 3*d**4 - 1038*d**3 + 3096*d**2 - 3090*d + 1029.
3*(d - 343)*(d - 1)**3
Factor -3*r**2 + 2826*r - 665523.
-3*(r - 471)**2
Factor -3*x**5 + 21*x**4 + 51*x**3 + 27*x**2.
-3*x**2*(x - 9)*(x + 1)**2
Factor -t**3/4 + 7*t**2/2 + 8*t.
-t*(t - 16)*(t + 2)/4
Factor 2*b**2 - 19344*b + 46773792.
2*(b - 4836)**2
Factor -i**2 - 2588*i - 1674436.
-(i + 1294)**2
Find a such that 4*a**3 - 40*a**2 + 4*a + 480 = 0.
-3, 5, 8
Solve -3*h**4 + 39*h**3 + 54*h**2 - 156*h - 168 = 0.
-2, -1, 2, 14
Factor 4*x**2 + 116*x.
4*x*(x + 29)
Find n, given that n**5 - 34*n**4 - 36*n**3 + 34*n**2 + 35*n = 0.
-1, 0, 1, 35
Solve 2*c**3 + 1392*c**2 + 242208*c = 0 for c.
-348, 0
Solve 35*g**4/2 + 540*g**3 - 1215*g**2 + 740*g - 165/2 = 0.
-33, 1/7, 1
Let -1352*h**4/5 - 312*h**3/5 - 18*h**2/5 = 0. What is h?
-3/26, 0
Factor x**4/5 - 6*x**3/5 - x**2/5 + 6*x/5.
x*(x - 6)*(x - 1)*(x + 1)/5
Determine i so that 3*i**4/8 - 45*i**3/4 + 183*i**2/2 - 1035*i/4 + 1425/8 = 0.
1, 5, 19
Let r**5/2 - 146*r**4 + 21315*r**3/2 + 146*r**2 - 10658*r = 0. Calculate r.
-1, 0, 1, 146
Factor -2*i**4 - 12*i**3 + 262*i**2 + 840*i - 9800.
-2*(i - 7)**2*(i + 10)**2
Find g, given that -5*g**3 - 30*g**2 + 405*g - 650 = 0.
-13, 2, 5
What is h in 4*h**4 + 28*h**3 + 36*h**2 - 28*h - 40 = 0?
-5, -2, -1, 1
Factor 15*s**3 - 985*s**2 + 625*s + 1625.
5*(s - 65)*(s + 1)*(3*s - 5)
Solve -3*m**4/7 - 6600*m**3/7 - 3610146*m**2/7 + 21839400*m/7 - 32848443/7 = 0 for m.
-1103, 3
Suppose -2*y**4 - 20*y**3 + 72*y**2 + 1296*y + 3456 = 0. What is y?
-6, 8
Solve b**3 - 29*b**2 - 30*b = 0 for b.
-1, 0, 30
Factor -d**3/3 - 19*d**2 + 123*d - 189.
-(d - 3)**2*(d + 63)/3
Determine h so that -2*h**4/7 + 16*h**3/7 - 26*h**2/7 + 12*h/7 = 0.
0, 1, 6
What is q in 3*q**4 + 57*q**3 + 153*q**2 + 147*q + 48 = 0?
-16, -1
Determine a, given that 27*a**4/4 - 87*a**3/2 + 213*a**2/4 + 87*a/2 - 60 = 0.
-1, 1, 2, 40/9
Factor 3*a**4 + 18*a**3 + 39*a**2 + 36*a + 12.
3*(a + 1)**2*(a + 2)**2
Find w such that 4*w**5 + 20*w**4 - 36*w**3 - 212*w**2 + 32*w + 192 = 0.
-4, -1, 1, 3
Determine d so that -2*d**2/15 - 4*d/15 + 2/5 = 0.
-3, 1
What is x in -x**4 + 43*x**3 - 576*x**2 + 2268*x = 0?
0, 7, 18
Suppose -3*r**3 + 159*r**2 - 2520*r + 12528 = 0. What is r?
12, 29
Factor 2*h**2 - 30*h + 72.
2*(h - 12)*(h - 3)
Factor 4*i**5 - 28*i**4 + 8*i**3 + 160*i**2.
4*i**2*(i - 5)*(i - 4)*(i + 2)
Determine b, given that 4*b**4/3 - 14*b**3/3 - 16*b**2 + 30*b = 0.
-3, 0, 3/2, 5
Factor u**5/4 + 17*u**4/4 + 14*u**3 + 13*u**2.
u**2*(u + 2)**2*(u + 13)/4
Factor -4*l**2 - 6576*l - 2702736.
-4*(l + 822)**2
Factor 3*m**3 + 186*m**2 + 3780*m + 25272.
3*(m + 18)**2*(m + 26)
Determine j, given that -12*j**2 - 9*j/2 + 3/4 = 0.
-1/2, 1/8
Determine k so that 3*k**5/2 - 9*k**4/2 - 3*k**3/2 + 21*k**2/2 - 6 = 0.
-1, 1, 2
Determine o so that 2*o**2/11 + 282*o/11 + 280/11 = 0.
-140, -1
Let -3*a**5 - 24*a**4 + 96*a**3 + 726*a**2 - 861*a - 1470 = 0. What is a?
-7, -1, 2, 5
Factor 2*i**5/17 - 44*i**4/17 + 80*i**3/17.
2*i**3*(i - 20)*(i - 2)/17
Factor -625*x**4/2 + 575*x**3 - 429*x**2/2 - 46*x - 2.
-(x - 1)**2*(25*x + 2)**2/2
Factor -8*w**5/13 + 6*w**4/13 + 8*w**3.
-2*w**3*(w - 4)*(4*w + 13)/13
Determine y, given that -1323*y**5 - 357*y**4 + 2013*y**3 + 21*y**2 - 810*y + 216 = 0.
-1, 3/7, 4/9, 6/7
Find q, given that 2*q**3 + 4*q**2 - 42*q + 36 = 0.
-6, 1, 3
Let 20*l**5 - 252*l**4 + 1016*l**3 - 1392*l**2 + 224*l + 384 = 0. What is l?
-2/5, 1, 2, 4, 6
Factor -d**3/6 - 265*d**2/3.
-d**2*(d + 530)/6
Determine h so that -3*h**3/2 + 420*h**2 - 28542*h - 120984 = 0.
-4, 142
Factor -2*a**5 + 132*a**4 - 2902*a**3 + 21164*a**2 + 2904*a - 21296.
-2*(a - 22)**3*(a - 1)*(a + 1)
Factor -15*z**2 - 62*z - 8.
-(z + 4)*(15*z + 2)
Factor v**2/5 + 155*v - 1554/5.
(v - 2)*(v + 777)/5
Solve 2*i**3/9 - 92*i**2/9 + 1058*i/9 = 0 for i.
0, 23
Factor -3*f**2 + 18*f - 24.
-3*(f - 4)*(f - 2)
Factor -3*b**4 + 12*b**2.
-3*b**2*(b - 2)*(b + 2)
Solve -d**5/2 - 21*d**4 - 587*d**3/2 - 1351*d**2 + 294*d + 1372 = 0 for d.
-14, -1, 1
Solve -2*h**3 + 840*h**2 - 2506*h + 1668 = 0.
1, 2, 417
Factor n**4/3 + 4*n**3 - 28*n**2/3.
n**2*(n - 2)*(n + 14)/3
Factor 2*w**2/9 - 1666*w/9 - 3340/9.
2*(w - 835)*(w + 2)/9
Factor w**2/5 - 264*w/5 + 17424/5.
(w - 132)**2/5
Determine n so that n**2 + 429*n - 862 = 0.
-431, 2
Solve 3*k**2 + 24*k - 27 = 0 for k.
-9, 1
Factor 5*z**4 + 4505*z**3 + 17965*z**2 + 22435*z + 8970.
5*(z + 1)**2*(z + 2)*(z + 897)
Find x such that x**4 - 49*x**3 + 573*x**2 + 725*x - 1250 = 0.
-2, 1, 25
Let -2*v**5/13 - 40*v**4/13 + 42*v**3/13 = 0. What is v?
-21, 0, 1
Factor -2*r**2/9 + 24*r - 576.
-2*(r - 72)*(r - 36)/9
Factor 4*o**3 - 104*o**2 - 732*o - 1152.
4*(o - 32)*(o + 3)**2
Determine a so that -4*a**2 - 1288*a - 103684 = 0.
-161
Factor -t**2 - 72*t - 140.
-(t + 2)*(t + 70)
Factor -z**3/6 - z**2 - 2*z - 4/3.
-(z + 2)**3/6
Factor 4*i**2 + 1472*i + 1468.
4*(i + 1)*(i + 367)
Factor -39*n**2/5 + 15*n + 6/5.
-3*(n - 2)*(13*n + 1)/5
What is f in 8*f**3/13 - 66*f**2/13 - 56*f/13 + 18/13 = 0?
-1, 1/4, 9
Suppose -2*f**4/13 + 60*f**3/13 - 656*f**2/13 + 3072*f/13 - 5120/13 = 0. Calculate f.
4, 8, 10
Find s, given that 2*s**4/5 - 44*s**3/5 + 138*s**2/5 + 1144*s/5 + 1352/5 = 0.
-2, 13
What is c in -3*c**3 + 3*c**2 + 72*c + 108 = 0?
-3, -2, 6
Determine t so that -14*t**3/11 - 4*t**2/11 + 56*t/11 + 16/11 = 0.
-2, -2/7, 2
Find y, given that -y**2/7 - 15*y/7 + 16/7 = 0.
-16, 1
Factor -2*q**3 - 11*q**2 - 12*q + 9.
-(q + 3)**2*(2*q - 1)
Factor 3*b**3/4 + 277*b**2/4 + 23*b.
b*(b + 92)*(3*b + 1)/4
Let -3*c**2/8 - 45*c/4 = 0. Calculate c.
-30, 0
Solve -r**5/5 - 9*r**4/5 - 29*r**3/5 - 43*r**2/5 - 6*r - 8/5 = 0 for r.
-4, -2, -1
Suppose -4*r**4/3 + 8*r**3 + 20*r**2 + 32*r/3 = 0. Calculate r.
-1, 0, 8