)*(w - 1)**2*(2*w - 1)
Determine y, given that y**4 - 33*y**3/2 + 15*y**2/2 + 8*y = 0.
-1/2, 0, 1, 16
Factor 9*t**4/5 - 3*t**3 + 3*t**2/5 + 3*t/5.
3*t*(t - 1)**2*(3*t + 1)/5
Suppose 3*u**5 + 54*u**4/5 + 51*u**3/5 - 12*u/5 = 0. What is u?
-2, -1, 0, 2/5
Let -2*p**3/11 - 4*p**2 + 2*p/11 + 4 = 0. What is p?
-22, -1, 1
Factor 5*v**3 + 5*v**2.
5*v**2*(v + 1)
Solve -5*t**5 + 65*t**4 - 115*t**3 + 55*t**2 = 0.
0, 1, 11
Factor 4*h**2/7 + 8016*h/7 + 4016016/7.
4*(h + 1002)**2/7
Solve m**2/5 - 29*m/5 = 0.
0, 29
Determine z, given that -2*z**2/13 + 108*z/13 - 106/13 = 0.
1, 53
Factor -2*l**3 - 34*l**2 + 2*l + 34.
-2*(l - 1)*(l + 1)*(l + 17)
Let 6*v**5/7 + 4*v**4/7 - 236*v**3/7 - 576*v**2/7 - 202*v/7 + 20 = 0. Calculate v.
-5, -2, -1, 1/3, 7
Determine i, given that 3*i**5 - 21*i**4 - 27*i**3 + 201*i**2 + 384*i + 180 = 0.
-2, -1, 5, 6
What is l in l**2/3 - 758*l + 430923 = 0?
1137
Factor 2*r**2/7 + 32*r/7 - 72/7.
2*(r - 2)*(r + 18)/7
Suppose 4*l**2/3 + 448*l/3 - 452/3 = 0. What is l?
-113, 1
Factor 5*r**3 - 115*r**2 + 310*r - 200.
5*(r - 20)*(r - 2)*(r - 1)
Suppose -4*i**5/5 + 266*i**4/5 + 414*i**3/5 - 404*i**2/5 - 272*i/5 = 0. What is i?
-2, -1/2, 0, 1, 68
Suppose 5*b**5 + 40*b**4 - 10*b**3 - 80*b**2 + 5*b + 40 = 0. What is b?
-8, -1, 1
Suppose 5727*i**2/5 - 2292*i + 12/5 = 0. Calculate i.
2/1909, 2
Let -2*l**2 - 104*l - 1352 = 0. What is l?
-26
Determine r so that -3*r**3 + 75*r**2 + 339*r + 261 = 0.
-3, -1, 29
Suppose -3*l**4 - 45*l**3 - 222*l**2 - 396*l - 216 = 0. Calculate l.
-6, -2, -1
Determine m so that 4*m**5/3 + 884*m**4/3 + 49256*m**3/3 + 43120*m**2/3 - 96800*m = 0.
-110, -3, 0, 2
Determine l so that -4*l**3/7 + 8*l**2 + 48*l - 864/7 = 0.
-6, 2, 18
Let -6*t**5/5 - 314*t**4/5 - 6188*t**3/5 - 54756*t**2/5 - 188942*t/5 - 57122/5 = 0. What is t?
-13, -1/3
Suppose -2*i**4/3 + 592*i**3/3 + 1190*i**2/3 + 596*i/3 = 0. Calculate i.
-1, 0, 298
Let -3*m**4 + 69*m**3 + 234*m**2 + 12*m - 312 = 0. Calculate m.
-2, 1, 26
Factor 2*v**2/25 - 1698*v/25 + 1696/25.
2*(v - 848)*(v - 1)/25
Suppose q**2/4 + 57*q + 3249 = 0. What is q?
-114
Solve b**4/6 + 4*b**3/3 + 5*b**2/6 - 19*b/3 + 4 = 0.
-6, -4, 1
Factor 2*l**5 - 26*l**3 + 24*l**2.
2*l**2*(l - 3)*(l - 1)*(l + 4)
Let -2*i**5/3 - 136*i**4/9 - 334*i**3/9 - 284*i**2/9 - 80*i/9 = 0. Calculate i.
-20, -1, -2/3, 0
Factor m**4/4 - 3*m**3/4 + m**2/4 + 3*m/4 - 1/2.
(m - 2)*(m - 1)**2*(m + 1)/4
Let -4*z**2 - 1196*z + 1200 = 0. What is z?
-300, 1
Let -h**3 - 20*h**2 - 73*h + 234 = 0. Calculate h.
-13, -9, 2
Find n such that 2*n**4 + 1020*n**3 + 1018*n**2 = 0.
-509, -1, 0
Solve -4802*k**3/13 - 42826*k**2/13 + 3520*k/13 - 72/13 = 0 for k.
-9, 2/49
Solve 31250*d**4/11 + 125500*d**3/11 + 127002*d**2/11 + 2008*d/11 + 8/11 = 0.
-2, -1/125
Let -d**4/6 + 5*d**3/2 + 3*d**2 - 16*d/3 = 0. Calculate d.
-2, 0, 1, 16
Factor 4*o**3/5 - 38*o**2/15 - 14*o + 12/5.
2*(o - 6)*(o + 3)*(6*o - 1)/15
Determine j, given that 3*j**4 + 666*j**3 + 36279*j**2 - 77280*j - 112896 = 0.
-112, -1, 3
Solve -3*x**4/4 - 891*x**3/2 + 7161*x**2/4 - 2241*x + 897 = 0.
-598, 1, 2
Determine l, given that 2*l**3 - 30*l**2 + 54*l - 26 = 0.
1, 13
Factor 2*a**5/7 - 4*a**3/7 + 2*a/7.
2*a*(a - 1)**2*(a + 1)**2/7
Determine w so that -w**4/4 + 320*w**3 - 153600*w**2 + 32768000*w - 2621440000 = 0.
320
Let x**3 - 36*x**2 + 33*x + 70 = 0. Calculate x.
-1, 2, 35
Find c, given that c**4/8 - 3*c**3/8 + c**2/8 + 3*c/8 - 1/4 = 0.
-1, 1, 2
Factor 2*a**4 + 14*a**3 - 18*a**2 - 14*a + 16.
2*(a - 1)**2*(a + 1)*(a + 8)
Solve -4*o**4/3 + 16*o**3/3 - 16*o**2/3 = 0 for o.
0, 2
Factor 2*y**4/5 - 4*y**3/5 - 126*y**2/5 + 256*y/5 - 128/5.
2*(y - 8)*(y - 1)**2*(y + 8)/5
Suppose -2*x**3 + 96*x**2/5 - 10*x - 36/5 = 0. Calculate x.
-2/5, 1, 9
Find t, given that -16*t**5/3 + 712*t**4/3 - 10441*t**3/3 + 16215*t**2 + 8775*t + 1125 = 0.
-1/4, 15
Factor 5*i**4 - 21900*i**3 + 35970750*i**2 - 26258647500*i + 7188304753125.
5*(i - 1095)**4
Determine d so that -3*d**3/7 - 114*d**2/7 - 321*d/7 - 30 = 0.
-35, -2, -1
Factor 3*h**4 + 15*h**3 + 9*h**2 - 15*h - 12.
3*(h - 1)*(h + 1)**2*(h + 4)
Find j such that -2*j**2/9 - 188*j/9 - 4418/9 = 0.
-47
Determine z, given that 10*z**4/7 - 18*z**3 + 106*z**2/7 + 18*z - 116/7 = 0.
-1, 1, 58/5
Find x such that 4*x**4 - 36*x**3 - 12*x**2 + 116*x - 72 = 0.
-2, 1, 9
Find h such that -3*h**4 - 15*h**3 + 18*h**2 = 0.
-6, 0, 1
Suppose -l**5/4 + 317*l**4/4 - 79*l**3 = 0. Calculate l.
0, 1, 316
Solve -4*b**3 + 36*b**2 + 192*b + 208 = 0 for b.
-2, 13
Let 75*n**4 + 540*n**3 + 57*n**2 - 324*n + 84 = 0. Calculate n.
-7, -1, 2/5
Solve -14*p**5/3 + 13912*p**4/3 - 4597544*p**3/3 + 501747616*p**2/3 + 1168374400*p/3 + 292754944/3 = 0 for p.
-2, -2/7, 332
Factor 4*z**4 - 20*z**3 + 28*z**2 - 12*z.
4*z*(z - 3)*(z - 1)**2
Factor -4*z**3 - 684*z**2 + 4248*z.
-4*z*(z - 6)*(z + 177)
Suppose 2*m**2/3 + 428*m/3 - 430/3 = 0. Calculate m.
-215, 1
Let 2*c**5/11 - 2*c**4/11 - 6*c**3/11 + 10*c**2/11 - 4*c/11 = 0. What is c?
-2, 0, 1
Factor -f**4/2 + 11*f**2/2 + 9*f + 4.
-(f - 4)*(f + 1)**2*(f + 2)/2
Determine o so that -o**4/2 + 7*o**3/2 + 26*o**2 - 134*o - 336 = 0.
-6, -2, 7, 8
Factor 2*k**4/5 - 12*k**3/5 - 8*k**2/5 + 48*k/5.
2*k*(k - 6)*(k - 2)*(k + 2)/5
Factor 2*j**3/15 + 34*j**2/15 - 36*j.
2*j*(j - 10)*(j + 27)/15
Solve -z**2/10 - 2*z/5 - 3/10 = 0 for z.
-3, -1
Let -w**5/5 - w**4 - 6*w**3/5 + 2*w**2/5 + 7*w/5 + 3/5 = 0. What is w?
-3, -1, 1
Let -2*s**4/7 - 16*s**3/7 - 44*s**2/7 - 48*s/7 - 18/7 = 0. Calculate s.
-3, -1
Factor 4*d**2 - 36*d - 144.
4*(d - 12)*(d + 3)
Solve -l**4/4 + 25*l**3/2 + 3*l**2/4 - 38*l + 25 = 0.
-2, 1, 50
Factor t**4/2 + 12*t**3 + 90*t**2 + 200*t.
t*(t + 4)*(t + 10)**2/2
Factor -5*p**2 + 70*p - 245.
-5*(p - 7)**2
Factor -3*k**2/7 + 186*k/7 - 360/7.
-3*(k - 60)*(k - 2)/7
What is x in 2*x**3/3 + 172*x**2/3 + 170*x/3 = 0?
-85, -1, 0
Factor -s**2 - 225*s - 224.
-(s + 1)*(s + 224)
What is g in 2*g**3/7 - 30*g**2/7 - 36*g/7 + 64/7 = 0?
-2, 1, 16
Find o, given that -3*o**3 + 141*o**2 - 957*o + 819 = 0.
1, 7, 39
What is a in -5*a**5/3 - a**4 + 10*a**3/3 + 2*a**2 - 5*a/3 - 1 = 0?
-1, -3/5, 1
Let 3*h**2/4 - 15*h/4 + 9/2 = 0. What is h?
2, 3
Determine t, given that -3*t**4 + 288*t**3 - 3885*t**2 + 3600*t = 0.
0, 1, 15, 80
Factor s**2 - 257*s/2 - 129/2.
(s - 129)*(2*s + 1)/2
Solve 2*j**4 + 8*j**3 - 14*j**2 - 20*j = 0.
-5, -1, 0, 2
Factor -5*r**4 - 40*r**3 - 35*r**2.
-5*r**2*(r + 1)*(r + 7)
Suppose a**2 - 34*a - 35 = 0. What is a?
-1, 35
Factor j**5/5 - 11*j**4/5 + 48*j**3/5 - 104*j**2/5 + 112*j/5 - 48/5.
(j - 3)*(j - 2)**4/5
Factor -d**3/2 + 38*d**2 - 1309*d/2 + 3267.
-(d - 54)*(d - 11)**2/2
Determine t so that -3*t**2 + 171*t + 354 = 0.
-2, 59
Factor 3*x**4 - 636*x**3 - 1926*x**2 - 1932*x - 645.
3*(x - 215)*(x + 1)**3
What is w in 2*w**2/13 - 34*w/13 - 220/13 = 0?
-5, 22
Suppose -j**5 + 21*j**4 - 57*j**3 + 55*j**2 - 18*j = 0. What is j?
0, 1, 18
Suppose -3*a**3/2 - 9*a**2 + 81*a/2 = 0. What is a?
-9, 0, 3
Factor -25*f**4 + 20*f**3 + 5*f**2.
-5*f**2*(f - 1)*(5*f + 1)
Solve 4*w**3/7 + 60*w**2 - 1744*w/7 = 0 for w.
-109, 0, 4
Factor 2*f**3 + 192*f**2 + 6144*f + 65536.
2*(f + 32)**3
Let -2*g**3/17 - 42*g**2/17 + 210*g/17 + 250/17 = 0. Calculate g.
-25, -1, 5
Find c, given that 34*c**5 - 286*c**4 + 860*c**3 - 1124*c**2 + 642*c - 126 = 0.
7/17, 1, 3
Determine f so that 12*f**2 + 390*f + 12675/4 = 0.
-65/4
Factor 2*a**3/21 + 2*a**2/3 + 10*a/7 + 6/7.
2*(a + 1)*(a + 3)**2/21
Let -18*r**4/7 + 3*r**3/7 + 33*r**2/7 - 3*r/7 - 15/7 = 0. What is r?
-1, -5/6, 1
Factor -b**2/4 + 7*b - 13.
-(b - 26)*(b - 2)/4
Let -2*b**4/7 - 20*b**3/7 - 32*b**2/7 = 0. What is b?
-8, -2, 0
Suppose -5*y**5/3 - 115*y**4/3 + 125*y**3/3 + 115*y**2/3 - 40*y = 0. What is y?
-24, -1, 0, 1
Determine p, given that 2*p**3/5 + 106*p**2 + 4144*p/5 + 8224/5 = 0.
-257, -4
Factor -2*f**2/17 + 462*f/17 + 464/17.
-2*(f - 232)*(f + 1)/17
Let 33*l**4/7 - 60*l**3/7 - 12*l**2/7 = 0. What is l?
-2/11, 0, 2
Find k, given that 20*k**5 - 235*k**4 + 340*k**3 + 100*k**2 = 0.
-1/4, 0, 2, 10
Let 39*p**2 + 2958*p - 456 = 0. What is p?
-76, 2/13
Let -2*y**2/21 + 166*y/7 + 500/21 = 0. What is y?
-1, 250
Find j, given that 5*j**4 + 565*j**3 - 580*j**2 - 1140*j = 0.
-114, -1, 0, 2
Factor 4*g**3 - 60*g**2 - 64*g.
4*g*(g - 16)*(g + 1)
Solve -5*u**5 - 10*u**4 + 35*u**3 + 100*u**2 + 60*u = 0.
-2, -1, 0, 3
Factor -3*x**2 - 28*x - 9.
-(x + 9)*(3*x + 1)
Solve -