x.
-8, -1, 1, 2
Suppose -4*w**2 + 4*w + 48 = 0. Calculate w.
-3, 4
Find t, given that 4*t**5 + 128*t**4/3 + 1300*t**3/9 + 1976*t**2/9 + 1408*t/9 + 128/3 = 0.
-6, -4/3, -1
Find s, given that -s**4 + 20*s**3 + 203*s**2 + 570*s + 504 = 0.
-3, -2, 28
Factor c**3 + 31*c**2 + 112*c + 108.
(c + 2)**2*(c + 27)
Find g, given that 2*g**3/13 + 9966*g**2/13 + 16553526*g/13 + 9165135562/13 = 0.
-1661
Factor -p**3 + 2*p**2 + 143*p.
-p*(p - 13)*(p + 11)
Factor 2*g**2 + 140*g + 1298.
2*(g + 11)*(g + 59)
Factor -3*u**4 + 30*u**3 + 39*u**2 - 66*u.
-3*u*(u - 11)*(u - 1)*(u + 2)
Find a, given that -2*a**2/5 - 464*a/5 - 26912/5 = 0.
-116
Let 2*t**2/13 + 94*t/13 - 196/13 = 0. Calculate t.
-49, 2
Factor i**3/5 + 103*i**2/5 - 104*i/5.
i*(i - 1)*(i + 104)/5
Suppose 3*c**3/4 + 345*c**2/4 + 10089*c/4 + 9747/4 = 0. Calculate c.
-57, -1
Determine d, given that -4*d**4 + 4*d**3 + 52*d**2 - 4*d - 48 = 0.
-3, -1, 1, 4
Factor 20*z**2 - 11455*z + 8580.
5*(z - 572)*(4*z - 3)
Determine z so that -z**5 + 11*z**4 - 10*z**3 = 0.
0, 1, 10
Factor 4*o**2 - 28*o - 240.
4*(o - 12)*(o + 5)
Factor -4*r**5 + 72*r**4 - 68*r**3.
-4*r**3*(r - 17)*(r - 1)
Determine h, given that -h**5/4 + 47*h**4/4 - 319*h**3/2 + 833*h**2/2 + 5439*h/4 + 3087/4 = 0.
-1, 7, 21
Factor -5*t**3/3 - 50*t**2/3 - 85*t/3 - 40/3.
-5*(t + 1)**2*(t + 8)/3
Find r, given that -3*r**2/7 - 144*r/7 + 192 = 0.
-56, 8
Find a, given that -a**3 + 20*a**2 + 21*a = 0.
-1, 0, 21
Find s such that -5*s**4 + 1290*s**3 - 80585*s**2 - 337980*s - 343220 = 0.
-2, 131
Solve u**2/5 + 388*u/5 + 37636/5 = 0.
-194
Factor -4*r**3 + 20*r**2 + 128*r + 144.
-4*(r - 9)*(r + 2)**2
Factor 2*p**2/11 - 8*p/11 - 42/11.
2*(p - 7)*(p + 3)/11
Factor -k**3/4 + 107*k**2/4 + 399*k/2.
-k*(k - 114)*(k + 7)/4
Factor -i**4 + 132*i**3 - 3456*i**2 - 62208*i.
-i*(i - 72)**2*(i + 12)
Factor -2*y**3/11 + 24*y/11 - 32/11.
-2*(y - 2)**2*(y + 4)/11
Factor 4*y**2/3 + 120*y + 2700.
4*(y + 45)**2/3
Solve 3*k**3/2 + 933*k**2/2 + 1857*k/2 + 927/2 = 0 for k.
-309, -1
Find o, given that -120*o**3 - 1195*o**2 - 1870*o + 80 = 0.
-8, -2, 1/24
Suppose 4*i**4 + 32*i**3 - 4*i**2 - 32*i = 0. Calculate i.
-8, -1, 0, 1
Suppose o**3/4 + 3*o**2 - o/4 - 3 = 0. What is o?
-12, -1, 1
Find j such that 10*j**4 + 65*j**3 - 30*j**2 - 175*j + 130 = 0.
-13/2, -2, 1
Let -4*l**3 + 152*l**2 - 1892*l + 7744 = 0. Calculate l.
11, 16
Let -4*u**2 + 64*u - 156 = 0. What is u?
3, 13
Factor b**3/2 - 83*b**2/2 + 1763*b/2 - 1681/2.
(b - 41)**2*(b - 1)/2
Find b such that -5*b**2 + 45*b - 70 = 0.
2, 7
Factor -4*c**2 + 2008*c - 252004.
-4*(c - 251)**2
Find r such that -2*r**2/7 - 2532*r/7 - 801378/7 = 0.
-633
Determine c, given that -4*c**5 - 80*c**4 - 140*c**3 + 80*c**2 + 144*c = 0.
-18, -2, -1, 0, 1
Factor o**3/3 + 5*o**2/3 + 8*o/3 + 4/3.
(o + 1)*(o + 2)**2/3
Factor 332750*q**3/7 + 217800*q**2/7 + 47520*q/7 + 3456/7.
2*(55*q + 12)**3/7
Let 5*o**3 - 80*o**2 + 240*o = 0. What is o?
0, 4, 12
Suppose s**4 - 22*s**3 - 23*s**2 = 0. Calculate s.
-1, 0, 23
Determine d so that -245392*d**3/3 + 139930*d**2/3 - 19864*d/3 - 8 = 0.
-3/2504, 2/7
Find w such that 2*w**2/11 - 10*w/11 - 28/11 = 0.
-2, 7
Factor -50*j**4/3 - 20120*j**3/3 - 2028092*j**2/3 - 269608*j - 26934.
-2*(j + 201)**2*(5*j + 1)**2/3
Suppose -2*h**5/5 - 18*h**4/5 + 2*h**3/5 + 18*h**2/5 = 0. Calculate h.
-9, -1, 0, 1
Solve 2*o**2/21 - 2416*o/21 + 729632/21 = 0.
604
Factor -4*l**3 - 96*l**2 - 576*l.
-4*l*(l + 12)**2
Factor 3*a**2 + 570*a + 27075.
3*(a + 95)**2
Let -7*i**5 - 2*i**4 + 155*i**3/7 + 20*i**2 + 4*i/7 - 16/7 = 0. What is i?
-1, -4/7, 2/7, 2
What is k in 5*k**4 + 120*k**3 - 840*k**2 + 1760*k - 1200 = 0?
-30, 2
Factor 2*k**2/11 - 240*k/11 + 472/11.
2*(k - 118)*(k - 2)/11
Let -5*q**5 + 43*q**4 - 336*q**3/5 - 576*q**2/5 = 0. Calculate q.
-1, 0, 24/5
Determine s so that s**5/2 + 21*s**4/2 + 36*s**3 - 214*s**2 + 48*s + 288 = 0.
-12, -1, 2
Factor -4*w**2 + 512*w - 16384.
-4*(w - 64)**2
Suppose 2*o**3 - 856*o**2 + 91592*o = 0. What is o?
0, 214
Factor -2*a**3/3 - 2768*a**2/3 + 5542*a/3 - 924.
-2*(a - 1)**2*(a + 1386)/3
Factor -2*q**3/9 - 22*q**2/9 - 20*q/9.
-2*q*(q + 1)*(q + 10)/9
Determine z so that 27*z**5/7 + 342*z**4/7 + 291*z**3/7 - 2064*z**2/7 + 276*z - 528/7 = 0.
-11, -4, 2/3, 1
Determine n so that -4*n**5/3 + 40*n**4/3 + 452*n**3/3 + 136*n**2 = 0.
-6, -1, 0, 17
Find c, given that -2*c**4 - 12*c**3 - 8*c**2 + 12*c + 10 = 0.
-5, -1, 1
Factor z**4/10 - 7*z**3/10 + 4*z**2/5 + 8*z/5.
z*(z - 4)**2*(z + 1)/10
Suppose 3*c**5 + 24*c**4 + 33*c**3 - 24*c**2 - 36*c = 0. Calculate c.
-6, -2, -1, 0, 1
Determine m, given that -2*m**2/5 + 168*m/5 - 3528/5 = 0.
42
Solve -s**5/8 + 3*s**4/4 + s**3/4 - 3*s**2/2 - s/8 + 3/4 = 0.
-1, 1, 6
What is d in -3*d**4/8 - 417*d**3/8 - 13833*d**2/8 - 140427*d/8 - 15876 = 0?
-96, -21, -1
Suppose -2*l**3/7 + 524*l**2/7 - 34840*l/7 + 67600/7 = 0. What is l?
2, 130
Suppose 3*l**3/2 + 717*l**2 + 2859*l/2 + 714 = 0. What is l?
-476, -1
Solve n**2/5 - 536*n/5 + 1068/5 = 0.
2, 534
Factor c**4/7 - 36*c**3/7 + 30*c**2/7 + 172*c/7 + 15.
(c - 35)*(c - 3)*(c + 1)**2/7
Factor -20*f**3 + 808*f**2 - 320*f.
-4*f*(f - 40)*(5*f - 2)
Factor -2*d**3/11 + 1756*d**2/11 - 385442*d/11.
-2*d*(d - 439)**2/11
Factor -4*y**2/5 - 26352*y/5 - 26348/5.
-4*(y + 1)*(y + 6587)/5
Factor -f**2 - 170*f - 169.
-(f + 1)*(f + 169)
Find d, given that -5*d**5/2 + 3*d**4/2 + 16*d**3 + 6*d**2 = 0.
-2, -2/5, 0, 3
Determine l so that -400*l**5 + 1520*l**4 - 124*l**3 - 3228*l**2 + 2304*l - 432 = 0.
-3/2, 2/5, 3/2, 3
Factor -3*v**3/7 - 60*v**2/7 - 300*v/7.
-3*v*(v + 10)**2/7
Factor o**3/5 - 149*o**2/5 + 1064*o + 17328/5.
(o - 76)**2*(o + 3)/5
Factor 3*z**2/7 - 12*z + 81/7.
3*(z - 27)*(z - 1)/7
Let 4*z**5/3 + 112*z**4/3 - 260*z**3 + 1208*z**2/3 - 544*z/3 = 0. What is z?
-34, 0, 1, 4
Determine g so that 2*g**2/5 - 214*g/5 + 84 = 0.
2, 105
Find s, given that -15*s**3 + 249*s**2 - 528*s - 252 = 0.
-2/5, 3, 14
Factor 2*w**2/7 + 18*w/7 - 44/7.
2*(w - 2)*(w + 11)/7
Factor -2*s**4/5 - 14*s**3/5 + 2*s**2/5 + 14*s/5.
-2*s*(s - 1)*(s + 1)*(s + 7)/5
Factor -2*d**3 + 144*d**2 - 282*d + 140.
-2*(d - 70)*(d - 1)**2
Factor -k**2 - 65*k + 66.
-(k - 1)*(k + 66)
Factor 2*f**2/5 - 366*f/5.
2*f*(f - 183)/5
Find v, given that -2*v**2 + 6*v + 108 = 0.
-6, 9
What is g in 25*g**4 - 4*g**3 - 75*g**2 - 38*g + 8 = 0?
-1, 4/25, 2
Let -9*w**5/2 + 111*w**4/4 + 115*w**3/4 - 65*w**2/4 - 37*w/4 + 7/2 = 0. What is w?
-1, -2/3, 1/3, 1/2, 7
Determine p so that 4*p**5 - 44*p**4 + 72*p**3 + 392*p**2 - 844*p + 420 = 0.
-3, 1, 5, 7
Find n such that -3*n**5/2 + 63*n**4/2 - 132*n**3 + 198*n**2 - 96*n = 0.
0, 1, 2, 16
Let 2*o**3/7 + 860*o**2/7 + 92450*o/7 = 0. Calculate o.
-215, 0
Factor x**2 + 374*x + 34969.
(x + 187)**2
Suppose -3*a**4/8 + a**3/2 + 11*a**2/8 - 2*a + 1/2 = 0. Calculate a.
-2, 1/3, 1, 2
Factor 4*i**4 + 76*i**3 + 388*i**2 + 180*i - 648.
4*(i - 1)*(i + 2)*(i + 9)**2
Factor -2*x**3/7 + 114*x**2/7 - 214*x/7 - 330/7.
-2*(x - 55)*(x - 3)*(x + 1)/7
Suppose -2*z**2/3 - 10*z/3 + 4 = 0. What is z?
-6, 1
Find q such that -2*q**4/5 - 22*q**3 - 320*q**2 - 1400*q = 0.
-35, -10, 0
Suppose -2*y**4 - 90*y**3 + 188*y**2 = 0. Calculate y.
-47, 0, 2
Determine z so that -4*z**4 - 408*z**3 - 9988*z**2 + 21216*z - 10816 = 0.
-52, 1
Let -3*o**5/7 - 12*o**4/7 + 12*o**3/7 + 66*o**2/7 - 9*o/7 - 54/7 = 0. What is o?
-3, -1, 1, 2
Let -2*k**5 + 78*k**4 - 796*k**3 + 644*k**2 + 798*k - 722 = 0. What is k?
-1, 1, 19
Factor 5*o**3 + 435*o**2 - 2745*o + 4185.
5*(o - 3)**2*(o + 93)
Factor -n**2/5 - n + 14/5.
-(n - 2)*(n + 7)/5
Determine q so that -q**2/4 - 34*q - 2223/4 = 0.
-117, -19
Determine f, given that -22*f**4/13 - 202*f**3/13 - 432*f**2/13 - 72*f/13 = 0.
-6, -3, -2/11, 0
Suppose 2*a**3/11 + 48*a**2/11 + 8*a = 0. What is a?
-22, -2, 0
Find r such that -r**4/6 + 7*r**3/6 - r**2 = 0.
0, 1, 6
Find j such that 2*j**2/9 - 108*j - 3920/9 = 0.
-4, 490
What is h in h**4/7 - 5*h**3/7 + 6*h**2/7 = 0?
0, 2, 3
Factor 3*p**4/2 - 9*p**3/2 - 9*p**2 + 12*p.
3*p*(p - 4)*(p - 1)*(p + 2)/2
Find b, given that -3*b**5/8 + 21*b**4/8 - 9*b**3/8 - 69*b**2/8 + 12*b - 9/2 = 0.
-2, 1, 6
Factor -3*w**3/2 - 51*w**2/2 + 27*w.
-3*w*(w - 1)*(w + 18)/2
Factor 10*h**5 - 26*h**4 - 162*h**3 - 230*h**2 - 128*h - 24.
2*(h - 6)*(h + 1)**3*(5*h + 2)
What is z in z**2 + 80*z + 79 = 0?
-79, -1
Solve -2*j**4/7 - 72*j**3/7 - 102*j**2 - 1156*j/7 = 0 for j.
-17, -2, 0
Let 3*h*