**2*(x + 52)
Let -2*h**3/9 - 158*h**2/9 + 668*h/3 + 240 = 0. Calculate h.
-90, -1, 12
Let 5*a**3 + 60*a**2 - 215*a + 150 = 0. Calculate a.
-15, 1, 2
Find r, given that r**5 - r**4 - 6*r**3 - 2*r**2 + 5*r + 3 = 0.
-1, 1, 3
Solve -3*x**4/5 + 66*x**3/5 - 3*x**2 - 948*x/5 - 252 = 0 for x.
-2, 5, 21
Solve 20*k**5 + 205*k**4 + 470*k**3 + 105*k**2 = 0.
-7, -3, -1/4, 0
Factor v**4/7 + 11*v**3/7 + 27*v**2/7 + 25*v/7 + 8/7.
(v + 1)**3*(v + 8)/7
Find r, given that r**2/3 + 371*r/3 + 610 = 0.
-366, -5
Factor -6*f**3/7 - 2*f**2 + 12*f/7.
-2*f*(f + 3)*(3*f - 2)/7
Find l such that -2*l**4 - 28*l**3 - 106*l**2 - 152*l - 72 = 0.
-9, -2, -1
Let -3*m**5/7 - 10*m**4/7 + 3*m**3/7 + 38*m**2/7 + 36*m/7 + 8/7 = 0. Calculate m.
-2, -1, -1/3, 2
Factor -q**2 + 107*q.
-q*(q - 107)
Factor -3*h**3 - 6*h**2 + 25*h/3 - 2.
-(h + 3)*(3*h - 2)*(3*h - 1)/3
Factor -4*n**5 + 43*n**4 - 97*n**3 + 73*n**2 - 7*n - 8.
-(n - 8)*(n - 1)**3*(4*n + 1)
Factor 3*y**2 + 110*y + 72.
(y + 36)*(3*y + 2)
Solve 3*v**5/2 + 27*v**4 - 246*v**3 + 405*v**2 - 375*v/2 = 0 for v.
-25, 0, 1, 5
Find z such that 3*z**4 - 1320*z**3 + 9126*z**2 - 14304*z + 6495 = 0.
1, 5, 433
What is v in -v**3 - 43*v**2 - 419*v - 377 = 0?
-29, -13, -1
Factor -2*a**3/11 - 402*a**2/11 - 108*a.
-2*a*(a + 3)*(a + 198)/11
Let -4*w**4 + 69*w**3/2 + 35*w**2/2 - 69*w/2 - 27/2 = 0. Calculate w.
-1, -3/8, 1, 9
Solve 2*u**5 - 76*u**4/3 - 18*u**3 + 356*u**2/3 + 40*u - 208/3 = 0.
-2, -1, 2/3, 2, 13
Let 5*d**3 - 25*d**2 = 0. Calculate d.
0, 5
Determine h, given that -3*h**4 - 207*h**3 - 600*h**2 - 396*h = 0.
-66, -2, -1, 0
Factor 3*n**3/2 + 141*n**2/2 - 72*n.
3*n*(n - 1)*(n + 48)/2
Suppose -4*d**4 + 192*d**3 - 372*d**2 + 184*d = 0. Calculate d.
0, 1, 46
Solve 8*m**4 + 1866*m**3 + 108106*m**2 - 82602*m - 27378 = 0.
-117, -1/4, 1
Factor 3*q**2 + 69*q + 360.
3*(q + 8)*(q + 15)
Factor 5*u**2 + 175*u.
5*u*(u + 35)
Factor -4*t**2 - 3268*t + 3272.
-4*(t - 1)*(t + 818)
Determine p so that 27*p**5/2 - 189*p**4/2 + 375*p**3/2 - 39*p**2/2 - 207*p + 108 = 0.
-1, 2/3, 4/3, 3
Find q, given that -4*q**2 - 56*q - 180 = 0.
-9, -5
Factor 3*d**3 - 84*d**2 + 615*d - 1350.
3*(d - 18)*(d - 5)**2
Let -1875*k**2 - 1200*k - 192 = 0. What is k?
-8/25
Factor -2*h**2/7 - 5710*h/7 - 5708/7.
-2*(h + 1)*(h + 2854)/7
Let -v**5/8 - v**4/2 + 5*v**3/4 + 8*v**2 + 87*v/8 + 9/2 = 0. What is v?
-3, -1, 4
Factor z**2 - 7*z.
z*(z - 7)
Determine l, given that l**5 + 9*l**4/2 + 9*l**3/2 - 4*l**2 - 6*l = 0.
-2, -3/2, 0, 1
Solve -3*b**3/2 - 36*b**2 - 216*b = 0.
-12, 0
Find y such that 40*y**4 + 565*y**3 + 2330*y**2 + 3125*y + 1320 = 0.
-8, -33/8, -1
Factor l**2/2 - 48*l + 1152.
(l - 48)**2/2
Solve o**4/5 + 11*o**3/5 + 18*o**2/5 = 0.
-9, -2, 0
Factor d**3/6 - 4*d**2/3 + 7*d/6.
d*(d - 7)*(d - 1)/6
Find i, given that -5*i**3 + 60*i**2 - 25*i - 330 = 0.
-2, 3, 11
Suppose -i**3/4 + 19*i**2/4 - 99*i/4 + 81/4 = 0. What is i?
1, 9
Let -4*c**2/3 - 44*c/3 + 56 = 0. Calculate c.
-14, 3
What is u in 2*u**2/5 + 116*u/5 = 0?
-58, 0
Factor 2*x**2 - 156*x + 3042.
2*(x - 39)**2
What is d in -2*d**4 - 22*d**3 - 84*d**2 - 128*d - 64 = 0?
-4, -2, -1
Factor -5*h**2 - 20910*h - 21861405.
-5*(h + 2091)**2
Find i, given that 4*i**3/3 - 92*i**2 + 1632*i - 4624/3 = 0.
1, 34
Let z**4 - 4*z**3 + 4*z**2 = 0. What is z?
0, 2
Factor 5*b**5/2 + 190*b**4 + 6005*b**3/2 - 22775*b**2 + 48790*b - 33620.
5*(b - 2)**3*(b + 41)**2/2
Let -2*l**3/5 + 52*l**2/5 - 338*l/5 = 0. What is l?
0, 13
Factor 3*h**3 + 534*h**2 + 23220*h - 48600.
3*(h - 2)*(h + 90)**2
Factor 2*m**3/9 + 38*m**2/3 + 224*m + 11368/9.
2*(m + 14)**2*(m + 29)/9
Suppose -2*i**3/9 - 16*i**2/3 - 88*i/9 = 0. Calculate i.
-22, -2, 0
Find q such that q**3/4 + 13*q**2/4 + 13*q + 15 = 0.
-6, -5, -2
Factor -2*s**4/5 + 876*s**3/5 - 2568*s**2 + 12740*s - 21150.
-2*(s - 423)*(s - 5)**3/5
Let g**3/7 - 235*g**2/7 + 232*g/7 + 468/7 = 0. What is g?
-1, 2, 234
Factor -a**4/4 - 39*a**3 - 455*a**2/4 + 153*a.
-a*(a - 1)*(a + 4)*(a + 153)/4
Factor h**4 + 9*h**3 - 81*h**2 + 131*h - 60.
(h - 4)*(h - 1)**2*(h + 15)
Factor 5*g**2 + 5*g - 30.
5*(g - 2)*(g + 3)
Factor 2*t**3 + 126*t**2 - 260*t.
2*t*(t - 2)*(t + 65)
Find f, given that 4*f**3 - 288*f**2 - 300*f + 584 = 0.
-2, 1, 73
Determine m so that -8*m**5/13 - 632*m**4/13 + 638*m**3/13 - 160*m**2/13 = 0.
-80, 0, 1/2
Suppose 2*b**2 - 226*b - 936 = 0. Calculate b.
-4, 117
Determine m so that 5*m**5 - 23*m**4 - 25*m**3 + 219*m**2 - 180*m - 108 = 0.
-3, -2/5, 2, 3
Factor -4*p**3 + 7212*p**2 - 4334412*p + 868327204.
-4*(p - 601)**3
Find c such that -2*c**5 + 574*c**4 - 61632*c**3 + 2923776*c**2 - 50761728*c - 53747712 = 0.
-1, 72
Factor -2*g**2 - 20*g + 22.
-2*(g - 1)*(g + 11)
Find p, given that -64*p**5/3 - 496*p**4 + 2831*p**3/3 + 259*p**2 + 50*p/3 = 0.
-25, -1/8, 0, 2
Factor 2*g**4/5 - 52*g**3/5 + 56*g**2 + 784*g/5.
2*g*(g - 14)**2*(g + 2)/5
What is o in -o**5/2 - 2*o**4 + 8*o**2 + 8*o = 0?
-2, 0, 2
Let -10*b**2 + 8375*b + 4190 = 0. What is b?
-1/2, 838
Factor -5*u**5 - 25*u**4 - 30*u**3.
-5*u**3*(u + 2)*(u + 3)
Factor 3*q**3 + 48*q**2 + 87*q + 42.
3*(q + 1)**2*(q + 14)
Solve -2*b**2/3 + 2*b + 80/3 = 0 for b.
-5, 8
Determine c so that -c**5 + 380*c**4 - 49446*c**3 + 2360124*c**2 - 20469537*c = 0.
0, 11, 123
Factor 2*c**5/3 + 896*c**4 + 300158*c**3 - 1811716*c**2/3.
2*c**2*(c - 2)*(c + 673)**2/3
Determine s so that -15*s**4 - 25*s**3 + 55*s**2 - 15*s = 0.
-3, 0, 1/3, 1
Factor 52*p**2 + 50*p - 2.
2*(p + 1)*(26*p - 1)
Suppose 3*u**4/4 + 93*u**3/2 - 387*u**2/4 - 93*u/2 + 96 = 0. What is u?
-64, -1, 1, 2
Suppose 4*a**4 + 368*a**3 + 9480*a**2 + 46096*a + 36980 = 0. Calculate a.
-43, -5, -1
Suppose 9*d**4/2 + 257*d**3/2 + 717*d**2/2 + 699*d/2 + 115 = 0. Calculate d.
-230/9, -1
Factor x**4/3 + x**3 - 14*x**2/3 - 4*x + 40/3.
(x - 2)**2*(x + 2)*(x + 5)/3
Solve f**4/2 + 11*f**3/3 - 28*f**2/3 - 17*f - 9/2 = 0.
-9, -1, -1/3, 3
What is k in -719*k**2/5 - 722*k/5 - 3/5 = 0?
-1, -3/719
Find t such that 2*t**3 - 870*t**2 + 1734*t - 866 = 0.
1, 433
What is w in 27*w**2 + 768*w + 336 = 0?
-28, -4/9
Suppose -4*l**5 - 412*l**4 + 1724*l**3 + 1212*l**2 - 7704*l = 0. What is l?
-107, -2, 0, 3
Factor 5*z**2/3 - 85*z/3.
5*z*(z - 17)/3
Determine t, given that -5*t**3 + 695*t**2 - 24495*t + 23805 = 0.
1, 69
Let -3*w**2 - 48*w + 1683 = 0. What is w?
-33, 17
Factor -o**4/9 - 10*o**3/9 - 16*o**2/9.
-o**2*(o + 2)*(o + 8)/9
What is p in -22*p**2 + 256*p + 96 = 0?
-4/11, 12
Factor 8*k**3 - 6*k**2 - 2*k.
2*k*(k - 1)*(4*k + 1)
Factor -2*p**3 - 438*p**2 - 23760*p + 24200.
-2*(p - 1)*(p + 110)**2
What is m in -2*m**5/7 - 6*m**4/7 + 8*m**3/7 + 24*m**2/7 = 0?
-3, -2, 0, 2
Solve 4*k**4/5 - 24*k**3/5 - 36*k**2/5 + 56*k/5 = 0.
-2, 0, 1, 7
Solve -4*a**2 + 596*a + 600 = 0.
-1, 150
Suppose -p**4 + 30*p**3 + 35*p**2 - 120*p - 124 = 0. Calculate p.
-2, -1, 2, 31
Factor -2*j**3 + 102*j**2 - 1120*j.
-2*j*(j - 35)*(j - 16)
Factor -2*t**3 + 8*t**2 - 10*t + 4.
-2*(t - 2)*(t - 1)**2
Factor h**2/7 + 43*h/7 + 120/7.
(h + 3)*(h + 40)/7
Factor t**3/4 + 1179*t**2/4 + 463347*t/4 + 60698457/4.
(t + 393)**3/4
Suppose t**5/2 + 5*t**4/2 - 3*t**3 - 16*t**2 + 16*t = 0. What is t?
-4, 0, 1, 2
Factor 4*u**2 - 4752*u - 4756.
4*(u - 1189)*(u + 1)
Factor 100*y**2 + 88*y - 12.
4*(y + 1)*(25*y - 3)
Factor 44*b**2 + 6660*b + 2416.
4*(b + 151)*(11*b + 4)
Factor -4*i**2 + 23240*i.
-4*i*(i - 5810)
Solve 5*c**3 + 595*c**2 + 17400*c - 18000 = 0.
-60, 1
Factor -2*j**5/11 + 574*j**4/11 - 45302*j**3/11 + 595930*j**2/11 - 258400*j + 4624000/11.
-2*(j - 136)**2*(j - 5)**3/11
Factor -w**3 - 2847*w**2 - 2024928*w + 2027776.
-(w - 1)*(w + 1424)**2
Let 3*a**5 - 27*a**4 + 24*a**3 = 0. What is a?
0, 1, 8
Factor 116*m**2/3 - 272*m/3 + 80/3.
4*(m - 2)*(29*m - 10)/3
Let f**3 - 37*f**2 = 0. What is f?
0, 37
Factor -r**3/4 + 25*r**2/2 + r/4 - 25/2.
-(r - 50)*(r - 1)*(r + 1)/4
What is y in -2*y**2 - 608*y - 46208 = 0?
-152
Factor -2*x**2 - 1273*x - 636.
-(x + 636)*(2*x + 1)
Factor f**5 + 28*f**4 + 265*f**3 + 998*f**2 + 1628*f + 968.
(f + 2)**3*(f + 11)**2
Factor -3*d**5 - 24*d**4 - 54*d**3 - 48*d**2 - 15*d.
-3*d*(d + 1)**3*(d + 5)
Factor v**3/3 - v**2/3 - 14*v/3 + 8.
(v - 3)*(v - 2)*(v + 4)/3
Factor -5*m**3 - 25*m**2 + 30*m.
-5*m*(m - 1)*(m + 6)
Determine c, given that c**2/4 - 6*c + 23/4 = 0.
1, 23
Find a, given that a**3/7 - 13*a**2/7 - 68*a/7 = 0.
-4, 0, 17
Factor 3*x**5 - 9*x**3 - 6*x**2.
3*x**2*(x - 2)*(x + 1)**2
Factor