 + 9*m**2/4 + m/4 - 1/4.
(m + 1)**3*(4*m - 1)/4
Find p such that -135*p**5 + 4905*p**4 + 31740*p**3 + 16720*p**2 - 14080*p - 8400 = 0.
-5, -2/3, 2/3, 42
Factor -18*m**4 - 138*m**3 + 208*m**2 - 72*m.
-2*m*(m + 9)*(3*m - 2)**2
Factor -m**2/2 - 474*m - 112338.
-(m + 474)**2/2
Factor 12*u**5 - 405*u**4 + 3366*u**3 + 867*u**2.
3*u**2*(u - 17)**2*(4*u + 1)
Determine m, given that 8*m**5 - 132*m**4 + 424*m**3 + 1116*m**2 - 648*m = 0.
-2, 0, 1/2, 9
Suppose 3*p**2 + 240*p - 243 = 0. Calculate p.
-81, 1
Let -4*i**5/11 + 2*i**4 - 42*i**3/11 + 32*i**2/11 - 8*i/11 = 0. Calculate i.
0, 1/2, 1, 2
What is w in -2*w**2/5 - 3804*w/5 - 1808802/5 = 0?
-951
Factor 2*o**2 - 120*o + 1800.
2*(o - 30)**2
Factor -2*u**2/15 - 16*u.
-2*u*(u + 120)/15
Solve -x**4/3 - x**3 - x**2 - x/3 = 0 for x.
-1, 0
Let 2*d**3/15 - 104*d**2/15 - 106*d/15 = 0. Calculate d.
-1, 0, 53
Factor -2*a**3/7 - 38*a**2/7 - 68*a/7.
-2*a*(a + 2)*(a + 17)/7
What is u in -4*u**2 + 76*u - 336 = 0?
7, 12
Determine d, given that 3*d**3 - 12*d**2 - 36*d = 0.
-2, 0, 6
Solve 2*f**2 + 16*f + 32 = 0.
-4
What is b in 38*b**2 - 685*b + 18 = 0?
1/38, 18
Factor 5*p**4 - 950*p**3.
5*p**3*(p - 190)
Find m such that 2*m**3/3 + 1828*m**2/3 + 417698*m/3 = 0.
-457, 0
Factor 57*x**3/7 - 148*x**2/7 + 125*x/7 - 34/7.
(x - 1)**2*(57*x - 34)/7
Factor 2*v**5/11 - 20*v**4/11 - 78*v**3/11.
2*v**3*(v - 13)*(v + 3)/11
What is g in -10*g**5 - 55*g**4 - 50*g**3 + 55*g**2 + 60*g = 0?
-4, -3/2, -1, 0, 1
Solve -9*f**4/4 + 75*f**3/8 + 183*f**2/4 - 63*f/8 = 0 for f.
-3, 0, 1/6, 7
Determine l, given that -4*l**2 - 100*l + 2184 = 0.
-39, 14
Determine b so that 3*b**4 - 3*b**3 - 24*b**2 + 36*b = 0.
-3, 0, 2
Factor -28*t**2 + 244*t + 72.
-4*(t - 9)*(7*t + 2)
Solve -2*w**5/3 - 4*w**4 - 6*w**3 + 8*w**2/3 + 8*w = 0 for w.
-3, -2, 0, 1
Find c such that -2*c**3/9 - 2*c**2/3 + 8*c/9 = 0.
-4, 0, 1
Solve 180*v**3 + 1408*v**2 - 272*v - 128 = 0.
-8, -2/9, 2/5
Find j such that 3*j**5 - 39*j**4 - 87*j**3 - 45*j**2 = 0.
-1, 0, 15
Suppose 2*o**2/7 + 24*o/7 - 320/7 = 0. What is o?
-20, 8
Factor k**2/2 + 12*k - 25/2.
(k - 1)*(k + 25)/2
Factor -2*r**2 + 6*r + 8.
-2*(r - 4)*(r + 1)
Suppose -n**4 - n**3 + 37*n**2 + 121*n + 84 = 0. Calculate n.
-4, -3, -1, 7
Solve 2*n**5 - 18*n**4 - 110*n**3 + 50*n**2 + 348*n + 208 = 0 for n.
-4, -1, 2, 13
Find g such that -3*g**5 - 72*g**4 - 615*g**3 - 2178*g**2 - 2784*g - 1152 = 0.
-8, -6, -1
Suppose 5*a**2 - 335*a - 340 = 0. Calculate a.
-1, 68
Let -2*m**4 + 48*m**3 - 330*m**2 + 484*m = 0. Calculate m.
0, 2, 11
Solve 4*x**4 + 52*x**3 + 88*x**2 = 0.
-11, -2, 0
Determine u, given that -9*u**3/4 - 9*u**2/8 + 11*u/8 + 1/4 = 0.
-1, -1/6, 2/3
Factor -2*j**3/5 - 46*j**2/5 - 268*j/5 - 224/5.
-2*(j + 1)*(j + 8)*(j + 14)/5
Solve 4*t**2 + 1568*t - 4740 = 0.
-395, 3
Solve 2*l**4 + 228*l**3 + 5760*l**2 + 41984*l = 0.
-82, -16, 0
Factor k**5 + 5*k**4 + 2*k**3 - 20*k**2 - 24*k.
k*(k - 2)*(k + 2)**2*(k + 3)
Determine y, given that 3*y**3 - 617*y**2/5 - 548*y/5 + 84/5 = 0.
-1, 2/15, 42
Find k, given that -3*k**5 - 20*k**4 + 7*k**3 = 0.
-7, 0, 1/3
Factor 245*c**5 - 385*c**4 + 160*c**3 - 20*c**2.
5*c**2*(c - 1)*(7*c - 2)**2
What is k in 12*k**2/5 - 3*k/5 = 0?
0, 1/4
Find c, given that -2*c**4 - 278*c**3 - 1352*c**2 - 1608*c = 0.
-134, -3, -2, 0
Suppose 9*v**5/5 - 2*v**4/5 - 9*v**3/5 + 2*v**2/5 = 0. Calculate v.
-1, 0, 2/9, 1
Let 8*x**3/3 + 92*x**2/3 + 83*x/2 + 15 = 0. What is x?
-10, -3/4
Determine c so that -3*c**4 - 24*c**3 + 33*c**2 + 54*c = 0.
-9, -1, 0, 2
Factor -3*m**5 + 213*m**4 + 882*m**3 + 1338*m**2 + 897*m + 225.
-3*(m - 75)*(m + 1)**4
Let 4*s**3 + 236*s**2 + 3596*s + 3364 = 0. Calculate s.
-29, -1
Suppose -196*m**4 + 16352*m**3 - 6876*m**2 - 7952*m - 1328 = 0. What is m?
-2/7, 1, 83
Solve -2*o**5 - 20*o**4/3 + 34*o**3/3 + 32*o**2 - 24*o = 0 for o.
-3, 0, 2/3, 2
Factor 3*i**4/4 + 27*i**3/2 + 63*i**2 + 114*i + 72.
3*(i + 2)**3*(i + 12)/4
Find g, given that 4*g**5 + 56*g**4 + 197*g**3 + 157*g**2 + 36*g = 0.
-9, -4, -1/2, 0
Let 32*j**5/11 + 58672*j**4/11 + 87938*j**3/11 + 332*j**2 - 21982*j/11 + 3664/11 = 0. Calculate j.
-1832, -1, 1/4
Let -25*t**3 - 360*t**2 - 1340*t - 480 = 0. Calculate t.
-8, -6, -2/5
Factor s**2/12 + 19*s/12 + 5.
(s + 4)*(s + 15)/12
Factor 3*y**3/2 + 21*y**2 + 33*y/2 - 39.
3*(y - 1)*(y + 2)*(y + 13)/2
Find l, given that -l**3 - 8*l**2 - 5*l + 50 = 0.
-5, 2
Factor 3*p**3 + 57*p**2 + 78*p - 408.
3*(p - 2)*(p + 4)*(p + 17)
Solve -k**5 + 26*k**4 - 231*k**3 + 826*k**2 - 1220*k + 600 = 0.
1, 2, 3, 10
Suppose k**3 - 12*k + 16 = 0. Calculate k.
-4, 2
Factor -o**3/5 - 248*o**2 - 76880*o.
-o*(o + 620)**2/5
Suppose -5*m**5 - 25*m**4 - 15*m**3 + 85*m**2 + 140*m + 60 = 0. Calculate m.
-3, -2, -1, 2
Determine q so that -q**3 + 7*q**2 - 6*q = 0.
0, 1, 6
Solve p**3 - 27*p**2 - 4*p + 108 = 0.
-2, 2, 27
Factor -3*z**3/5 + 24*z**2/5 + 459*z/5.
-3*z*(z - 17)*(z + 9)/5
Suppose g**3/6 + 103*g**2/6 + 17*g = 0. Calculate g.
-102, -1, 0
Factor 2*f**3/11 + 4*f**2/11 - 50*f/11 - 100/11.
2*(f - 5)*(f + 2)*(f + 5)/11
What is i in 3*i**2 - 2604*i - 2607 = 0?
-1, 869
Factor -4*j**2 + 36*j.
-4*j*(j - 9)
Suppose -2*q**5 + 102*q**4 - 1678*q**3 + 9642*q**2 - 18648*q + 10584 = 0. What is q?
1, 2, 6, 21
Solve 178*h**2/15 + 34*h/3 - 8/15 = 0 for h.
-1, 4/89
Let x**2 + 24*x - 340 = 0. What is x?
-34, 10
Let -2*g**5/3 - 8*g**4 - 70*g**3/3 - 16*g**2 = 0. What is g?
-8, -3, -1, 0
Factor 4*s**4 + 16*s**3 - 212*s**2 - 816*s + 1008.
4*(s - 7)*(s - 1)*(s + 6)**2
Factor -u**2/5 - 1009*u/5.
-u*(u + 1009)/5
Factor f**2/2 - 19*f/2.
f*(f - 19)/2
Suppose -8*z**5 - 30*z**4 - 8*z**3 + 36*z**2 + 16*z - 6 = 0. Calculate z.
-3, -1, 1/4, 1
Factor 5*c**3 - 40*c**2 - 580*c - 960.
5*(c - 16)*(c + 2)*(c + 6)
Suppose -2*t**2 - 612*t - 46818 = 0. Calculate t.
-153
Let -4*l**4 - 28*l**3 + 196*l**2 + 220*l = 0. What is l?
-11, -1, 0, 5
Suppose -28*j**2 + 708*j - 200 = 0. What is j?
2/7, 25
Factor 2*n**2/3 - 88*n/3 - 30.
2*(n - 45)*(n + 1)/3
Factor -2*c**2/7 - 14*c + 100/7.
-2*(c - 1)*(c + 50)/7
Factor -5*u**4 + 370*u**3 - 8645*u**2 + 64980*u.
-5*u*(u - 36)*(u - 19)**2
Let -3*x**3 - 36*x**2 - 144*x - 192 = 0. Calculate x.
-4
Factor -3*f**5 + 3*f**4 + 6*f**3.
-3*f**3*(f - 2)*(f + 1)
Suppose -k**5 + 5*k**4 - 4*k**3 = 0. Calculate k.
0, 1, 4
Factor -5*z**2 + 120*z.
-5*z*(z - 24)
Factor -3*q**3 - 9*q**2 + 3*q + 9.
-3*(q - 1)*(q + 1)*(q + 3)
Suppose -11*n**3/4 + 39*n**2/2 - 73*n/4 + 3/2 = 0. What is n?
1/11, 1, 6
Determine i so that i**4/4 - 17*i**3/2 + 265*i**2/4 - 150*i = 0.
0, 5, 24
Factor -3*q**4 - 237*q**3 + 240*q**2.
-3*q**2*(q - 1)*(q + 80)
Find u such that -84*u**5 - 500*u**4 - 640*u**3 + 80*u**2 + 64*u = 0.
-4, -2, -2/7, 0, 1/3
Determine w so that 4*w**4 + 20*w**3 - 24*w**2 = 0.
-6, 0, 1
Find b such that -b**3 + 8*b**2 + 33*b = 0.
-3, 0, 11
Find p, given that 2*p**3/9 - 10*p**2/3 + 32*p/3 - 88/9 = 0.
2, 11
Factor -5*c**2/3 + 5*c/3 + 10/3.
-5*(c - 2)*(c + 1)/3
Factor 3*y**2 + 135*y + 258.
3*(y + 2)*(y + 43)
Factor -r**2/3 + 31*r + 94/3.
-(r - 94)*(r + 1)/3
Find w such that 57*w**2 - 450*w - 48 = 0.
-2/19, 8
Factor g**3/5 - 11*g**2/5.
g**2*(g - 11)/5
Let s**3/2 + 3*s**2/2 + 3*s/2 + 1/2 = 0. Calculate s.
-1
What is f in -3*f**2/7 + 12*f/7 - 9/7 = 0?
1, 3
Suppose -3*z**4/2 + 9*z**3/2 + 6*z**2 - 18*z = 0. What is z?
-2, 0, 2, 3
Factor 2*z**4/15 + 16*z**3/15 + 34*z**2/15 + 4*z/3.
2*z*(z + 1)*(z + 2)*(z + 5)/15
Suppose 5*s**3 - 35*s**2 + 35*s + 75 = 0. What is s?
-1, 3, 5
Factor 2*p**3 + 994*p**2 + 124000*p + 123008.
2*(p + 1)*(p + 248)**2
What is m in -3*m**3 + 27*m**2 - 81*m + 81 = 0?
3
Determine d, given that 5*d**5 + 75*d**4 + 400*d**3 + 800*d**2 - 1280 = 0.
-4, 1
Factor 18*c**3/7 + 178*c**2/7 + 430*c/7 - 50/7.
2*(c + 5)**2*(9*c - 1)/7
Suppose -9*t**3 - 4443*t**2 - 2958*t = 0. What is t?
-493, -2/3, 0
Factor 4*i**3 - 64*i**2 + 256*i.
4*i*(i - 8)**2
Solve 5*b**5 + 60*b**4 + 205*b**3 + 210*b**2 = 0 for b.
-7, -3, -2, 0
Find i such that -3*i**5 + 1410*i**4 + 2832*i**3 + 6*i**2 - 2829*i - 1416 = 0.
-1, 1, 472
Factor 3*q**2/2 - 1923*q - 3849/2.
3*(q - 1283)*(q + 1)/2
Factor -35*w**3 + 615*w**2 + 6395*w + 2625.
-5*(w - 25)*(w + 7)*(7*w + 3)
Solve -541696*y**2 - 1472*y - 1 = 0.
-1/736
Factor -2*p**3 - 6*p**2 + 20*p.
-2*p*(p - 2)*(p + 5)
Determine d, given that 4*d**5 + 76*d**4 - 256*d**3 + 176*d**2 = 0.
-22, 0, 1, 2
What is b in 4*b**2 - 56*b + 52 = 0?
1, 13
Factor -3*d**4 - 9*d**