
4*(m - 589)*(m - 1)
Factor -t**3/3 + 5*t**2/3 + 4*t/3 - 20/3.
-(t - 5)*(t - 2)*(t + 2)/3
Suppose 289*d**4/12 - 25109*d**3/6 + 2175613*d**2/12 + 42833*d + 2523 = 0. Calculate d.
-2/17, 87
Find y such that -y**5/11 + 64*y**3/11 + 162*y**2/11 - 63*y/11 - 162/11 = 0.
-6, -3, -1, 1, 9
Find v, given that 2*v**2/11 - 42*v/11 + 76/11 = 0.
2, 19
Determine g, given that 10*g**5/3 + 52*g**4 + 132*g**3 - 1624*g**2/3 + 462*g - 108 = 0.
-9, 2/5, 1
What is z in 6*z**5 - 88*z**4 + 866*z**3/3 - 92*z**2/3 - 536*z - 240 = 0?
-2/3, 3, 10
Find b such that 12*b**3/7 + 142*b**2 + 20992*b/7 + 16810/7 = 0.
-41, -5/6
Factor -z**2/4 - 9*z/4 + 5/2.
-(z - 1)*(z + 10)/4
What is u in 2*u**2/5 - 6492*u/5 + 5268258/5 = 0?
1623
Factor v**3/3 + 245*v**2/3.
v**2*(v + 245)/3
Factor -2*z**2 + 348*z + 350.
-2*(z - 175)*(z + 1)
Determine t, given that 10*t**4/13 + 238*t**3/13 + 1562*t**2/13 + 2018*t/13 - 36 = 0.
-13, -9, -2, 1/5
Factor c**3/3 - 83*c**2/3 + 1288*c/3 + 6348.
(c - 46)**2*(c + 9)/3
Factor 3*u**3 + 18*u**2 - 156*u - 360.
3*(u - 6)*(u + 2)*(u + 10)
Factor 2*a**4 - 708*a**3 + 61224*a**2 + 254180*a + 192246.
2*(a - 179)**2*(a + 1)*(a + 3)
Factor 3*q**2/2 + 87*q/2 - 45.
3*(q - 1)*(q + 30)/2
Find q, given that -2*q**2 - 632*q - 1256 = 0.
-314, -2
Solve 2*y**4/17 + 14*y**3/17 - 50*y**2/17 - 134*y/17 - 72/17 = 0 for y.
-9, -1, 4
Solve 132*k**3 - 1856*k**2 + 6580*k - 392 = 0.
2/33, 7
What is u in 2*u**5/13 - 3274*u**4/13 + 1341520*u**3/13 - 1338248*u**2/13 = 0?
0, 1, 818
Solve -2*s**2 - 2258*s + 4524 = 0 for s.
-1131, 2
Determine c, given that -4*c**3 - 4*c**2 + 340*c - 1100 = 0.
-11, 5
Factor -16*r**3 - 340*r**2 + 268*r + 88.
-4*(r - 1)*(r + 22)*(4*r + 1)
Factor 3*x**4/7 - 4*x**3/7 - 16*x**2/7 + 16*x/7 + 16/7.
(x - 2)**2*(x + 2)*(3*x + 2)/7
Determine p so that -6*p**4/17 + 154*p**3/17 + 76*p**2/17 - 616*p/17 - 208/17 = 0.
-2, -1/3, 2, 26
Factor -2*m**3/3 + 4*m**2 - 22*m/3 + 4.
-2*(m - 3)*(m - 2)*(m - 1)/3
Suppose 4*k**4/9 + 8*k**3 + 308*k**2/9 - 32*k - 144 = 0. What is k?
-9, -2, 2
Suppose 5*o**5/6 + 5*o**4 + 10*o**3 + 20*o**2/3 = 0. What is o?
-2, 0
Determine p so that 3*p**5/8 + 762*p**4 + 2065527*p**3/4 + 116873895*p**2 + 930866199*p/8 = 0.
-677, -1, 0
What is z in -z**2 + 25*z/2 + 21 = 0?
-3/2, 14
Factor -a**4/2 + 27*a**3/2 - 137*a**2/2 - 615*a/2 - 225.
-(a - 15)**2*(a + 1)*(a + 2)/2
Solve -2*j**3/3 - 404*j**2/9 + 694*j/9 + 92/3 = 0 for j.
-69, -1/3, 2
Factor -12*x**3 - 2216*x**2 - 103040*x - 67712.
-4*(x + 92)**2*(3*x + 2)
Suppose 9*p**4/5 + 1218*p**3/5 + 3988*p**2/5 + 3704*p/5 + 1056/5 = 0. Calculate p.
-132, -2, -2/3
Suppose -4*v**3/3 + 52*v**2 - 1580*v/3 + 476 = 0. Calculate v.
1, 17, 21
Solve 5*p**2 - 330*p = 0 for p.
0, 66
Factor 4*m**5 - 36*m**4 + 88*m**3 - 128*m.
4*m*(m - 4)**2*(m - 2)*(m + 1)
Determine m so that -m**4/4 + 513*m**3/2 - 256*m**2 - 513*m/2 + 1025/4 = 0.
-1, 1, 1025
Factor 3*o**5 - 9*o**4 - 75*o**3 - 63*o**2.
3*o**2*(o - 7)*(o + 1)*(o + 3)
Find h such that -2*h**5 - 92*h**4/3 - 122*h**3 - 472*h**2/3 - 40*h = 0.
-10, -3, -2, -1/3, 0
Find a, given that 2*a**4/3 + 8*a**3/3 - 4*a**2 - 24*a - 18 = 0.
-3, -1, 3
Find i, given that 5*i**5 + 215*i**4 + 1665*i**3 + 4725*i**2 + 4590*i = 0.
-34, -3, 0
Let -c**2 + 304*c + 305 = 0. What is c?
-1, 305
Determine m, given that 12*m**4 - 440*m**3 - 604*m**2 - 152*m = 0.
-1, -1/3, 0, 38
Factor -291*z**2 - 267*z + 24.
-3*(z + 1)*(97*z - 8)
Find d such that -3*d**2/4 + 3192*d - 3396288 = 0.
2128
Solve -2*s**3/9 - 760*s**2/9 + 3838*s/9 - 1540/3 = 0.
-385, 2, 3
Factor 4*r**3/3 + 6*r**2 - 18.
2*(r + 3)**2*(2*r - 3)/3
Factor f**3 - 306*f**2 + 23712*f - 46208.
(f - 152)**2*(f - 2)
Factor 3*i**5 + 81*i**4 + 729*i**3 + 2187*i**2.
3*i**2*(i + 9)**3
Suppose -5*i**5 - 20*i**4 + 40*i**3 + 70*i**2 - 35*i - 50 = 0. Calculate i.
-5, -1, 1, 2
Let 12*k**4 - 1336*k**3 + 4324*k**2 - 408*k - 2592 = 0. Calculate k.
-2/3, 1, 3, 108
Factor a**5 - 23*a**4 - 137*a**3 - 93*a**2 + 252*a.
a*(a - 28)*(a - 1)*(a + 3)**2
Factor 15*y**4 + 5*y**3 - 10*y**2.
5*y**2*(y + 1)*(3*y - 2)
Factor -3*y**2/5 + 192*y - 15360.
-3*(y - 160)**2/5
Factor t**5/9 - t**4/9 - 22*t**3/9 + 40*t**2/9.
t**2*(t - 4)*(t - 2)*(t + 5)/9
Find g, given that -117*g**4/5 - 60*g**3 + 252*g**2/5 = 0.
-42/13, 0, 2/3
Let k**5/3 + 26*k**4/3 - 2*k**3/3 - 52*k**2/3 + k/3 + 26/3 = 0. What is k?
-26, -1, 1
Factor -9*z**3 - 50*z**2 + 212*z/9 - 8/3.
-(z + 6)*(9*z - 2)**2/9
Factor -2*y**2/9 - 2*y - 28/9.
-2*(y + 2)*(y + 7)/9
Determine g, given that -12*g**2 + 548*g - 360 = 0.
2/3, 45
Determine s, given that s**4/3 + 155*s**3/3 - 317*s**2/3 - 157*s = 0.
-157, -1, 0, 3
What is w in 52*w**2/3 - 280*w/3 + 100/3 = 0?
5/13, 5
What is g in 4*g**2 + 72*g + 260 = 0?
-13, -5
Let 8*x**3/5 - 52*x**2/5 - 36*x = 0. What is x?
-5/2, 0, 9
Factor -3*q**3 - 267*q**2 - 7137*q - 50193.
-3*(q + 11)*(q + 39)**2
Determine a, given that -2*a**3/11 + 18*a**2/11 - 16*a/11 = 0.
0, 1, 8
Factor 4*t**3 + 156*t**2 + 1056*t + 1984.
4*(t + 4)**2*(t + 31)
Factor 15*z**2/8 - 7347*z/8 - 735/4.
3*(z - 490)*(5*z + 1)/8
Let -2*z**4/5 - 194*z**3/5 - 114*z**2 - 566*z/5 - 188/5 = 0. Calculate z.
-94, -1
Factor -3*u**2 - 30*u + 600.
-3*(u - 10)*(u + 20)
Let 2*r**2/5 + 36*r/5 + 154/5 = 0. What is r?
-11, -7
Find q, given that -2*q**5/5 + 22*q**4/5 - 78*q**3/5 + 122*q**2/5 - 88*q/5 + 24/5 = 0.
1, 2, 6
Factor -8*m**4 - 286*m**3 - 2520*m**2 + 648*m.
-2*m*(m + 18)**2*(4*m - 1)
Solve 20*v**4/7 + 2852*v**3/7 - 6924*v**2/7 + 5212*v/7 - 1160/7 = 0 for v.
-145, 2/5, 1
Factor x**2/7 + 5*x/7 + 6/7.
(x + 2)*(x + 3)/7
Suppose 2*q**4 - 194*q**3 - 1214*q**2 - 2254*q - 1236 = 0. What is q?
-3, -2, -1, 103
Factor 9*d**3/4 + 195*d**2/4 - 72*d - 69.
3*(d - 2)*(d + 23)*(3*d + 2)/4
Suppose 15*i**4 + 265*i**3 - 100*i**2 - 180*i = 0. Calculate i.
-18, -2/3, 0, 1
Determine l so that -l**3/5 + 1431*l**2/5 - 682587*l/5 + 108531333/5 = 0.
477
Factor -4*g**3/3 - 8*g**2/3 + 128*g/3 + 128.
-4*(g - 6)*(g + 4)**2/3
Determine s, given that 36*s**5/5 - 116*s**4/5 - 12*s**3/5 + 116*s**2/5 - 24*s/5 = 0.
-1, 0, 2/9, 1, 3
Factor -2*i**2/15 - 68*i/15 - 22/5.
-2*(i + 1)*(i + 33)/15
Determine l so that -l**5/6 + 17*l**4/2 - 61*l**3 + 485*l**2/3 - 347*l/2 + 129/2 = 0.
1, 3, 43
Suppose -3*a**5/2 + 21*a**4/4 - 75*a**2/4 + 24*a - 9 = 0. What is a?
-2, 1, 3/2, 2
Factor 404*f**4/3 - 268*f**3 + 132*f**2 + 4*f/3.
4*f*(f - 1)**2*(101*f + 1)/3
Factor 5*a**3/2 + 45*a**2 + 150*a - 500.
5*(a - 2)*(a + 10)**2/2
Solve 3*t**4 - 666*t**3 + 660*t**2 + 666*t - 663 = 0.
-1, 1, 221
Suppose -s**2/2 + 101*s/2 + 51 = 0. Calculate s.
-1, 102
Factor 4*c**3 - 44*c**2 - 8*c + 480.
4*(c - 10)*(c - 4)*(c + 3)
Factor z**3/2 - 7*z**2/2 - z/2 + 7/2.
(z - 7)*(z - 1)*(z + 1)/2
Factor p**2 + 2*p - 3.
(p - 1)*(p + 3)
Solve 4*y**2/3 - 244*y/3 - 2840/3 = 0 for y.
-10, 71
What is v in -v**3 + 6*v**2 + 15*v + 8 = 0?
-1, 8
Factor 3*p**2 + 453*p - 456.
3*(p - 1)*(p + 152)
Determine g, given that 2*g**2 - 12*g + 18 = 0.
3
Let -3*f**4/7 + 36*f**3/7 + 93*f**2/7 - 18*f = 0. Calculate f.
-3, 0, 1, 14
Solve 4*k**5 - 16*k**4 + 24*k**3 - 16*k**2 + 4*k = 0 for k.
0, 1
What is t in 2*t**3/15 - 2*t**2/3 - 6*t/5 + 6 = 0?
-3, 3, 5
Find x such that 3*x**4 - 5532*x**3 + 2533602*x**2 + 15351300*x + 23101875 = 0.
-3, 925
Factor -5*f**2 + 865*f + 870.
-5*(f - 174)*(f + 1)
Factor -3*t**3 + 21*t**2 - 30*t.
-3*t*(t - 5)*(t - 2)
Let g**3 - 196*g**2 + 1333*g - 1890 = 0. What is g?
2, 5, 189
Factor 108*v**3 - 102348*v**2 - 34125*v - 2844.
3*(v - 948)*(6*v + 1)**2
What is r in -r**4 - 19*r**3/3 - 4*r**2/3 + 4*r = 0?
-6, -1, 0, 2/3
Factor -2*f**3/9 + 212*f**2/9 + 430*f/9 + 24.
-2*(f - 108)*(f + 1)**2/9
Determine g, given that 2*g**2 - 10*g - 12 = 0.
-1, 6
Find y such that 6*y**2 + 886*y = 0.
-443/3, 0
Factor -d**4/3 + 3*d**3 - 8*d**2 + 16*d/3.
-d*(d - 4)**2*(d - 1)/3
Factor q**5 + 24*q**4 - 2*q**3 - 48*q**2 + q + 24.
(q - 1)**2*(q + 1)**2*(q + 24)
Determine m so that m**3/2 - 3*m**2 - 31*m/2 + 60 = 0.
-5, 3, 8
Factor -2*u**3/5 - 16*u**2/5 + 14*u + 588/5.
-2*(u - 6)*(u + 7)**2/5
Factor -o**2/4 - 13*o/4 - 11/2.
-(o + 2)*(o + 11)/4
Suppose 4*b**4 - 484*b**3 - 3000*b**2 - 6064*b - 4064 = 0. Calculate b.
-2, 127
What is r in -r**2/3 + 92*r + 277/3 = 0?
-1, 277
Let 233*r**3/4 - 231*r**2/4 - 117*r - 1 = 0. What is r?
-1, -2/233, 2
Factor 32*t**2/5 - 28*t/5 - 4/5.
4*(t - 1)*(8*t + 1)/5
Factor 5*o**4 - 5155*o**3 + 1331275*o**2 - 1326125*o.
5*o*(o - 5