.
-(j - 2)**2*(j + 3)*(3*j - 1)
Factor 2*h**2/9 - 8*h/9.
2*h*(h - 4)/9
Factor -s**4/3 + 10*s**3 - 19*s**2 + 28*s/3.
-s*(s - 28)*(s - 1)**2/3
Determine m, given that 3*m**2/4 + 7311*m/2 + 17816907/4 = 0.
-2437
Factor g**2/4 + 229*g/2 + 52441/4.
(g + 229)**2/4
Solve -5*n**4 + 280*n**3 - 2190*n**2 + 3400*n + 5875 = 0 for n.
-1, 5, 47
Solve -2*h**2 + 486*h + 488 = 0.
-1, 244
Factor -2*c**2/5 - 3264*c/5 + 3266/5.
-2*(c - 1)*(c + 1633)/5
Factor -2*o**3/21 + 2*o**2/3 - 22*o/21 + 10/21.
-2*(o - 5)*(o - 1)**2/21
Let -k**2/5 - 11*k = 0. What is k?
-55, 0
Factor -3*i**4 + 27*i**3 - 60*i**2 + 36*i.
-3*i*(i - 6)*(i - 2)*(i - 1)
Factor -2*a**2/5 + 144*a/5 - 2592/5.
-2*(a - 36)**2/5
Determine v so that -169*v**4/3 - 715*v**3/12 - v**2/4 + 10*v/3 + 1/3 = 0.
-1, -2/13, 1/4
Suppose 2*g**4 + 30*g**3 + 126*g**2 + 98*g = 0. What is g?
-7, -1, 0
Let 2*f**2/9 + 260*f/9 + 8450/9 = 0. What is f?
-65
Let 2*b**5/3 + 58*b**4/3 + 500*b**3/3 + 1172*b**2/3 + 1066*b/3 + 338/3 = 0. Calculate b.
-13, -1
Factor 2*j**3 - 34*j**2 + 80*j + 600.
2*(j - 10)**2*(j + 3)
Suppose i**3/7 + 3*i**2/7 - 100*i/7 - 300/7 = 0. What is i?
-10, -3, 10
Factor -2*t**3/3 - 4*t**2/3 + 2*t/3 + 4/3.
-2*(t - 1)*(t + 1)*(t + 2)/3
Factor x**3/3 - 1539*x**2 + 2368521*x - 1215051273.
(x - 1539)**3/3
Let -21*k**4 + 951*k**3 - 5373*k**2 + 8829*k - 2106 = 0. What is k?
2/7, 3, 39
Let 5*b**3/4 + 965*b**2/4 = 0. Calculate b.
-193, 0
Factor f**3/2 + 3*f**2 - 37*f/2 + 15.
(f - 3)*(f - 1)*(f + 10)/2
What is i in i**4 + 15*i**3 - 52*i**2 + 36*i = 0?
-18, 0, 1, 2
Determine p, given that -2*p**3 - 1538*p**2 + 3082*p - 1542 = 0.
-771, 1
Determine b so that 78*b**3/17 - 202*b**2/17 + 88*b/17 + 8/17 = 0.
-1/13, 2/3, 2
Let 3*a**5 - 43*a**4/3 - 334*a**3/3 - 24*a**2 = 0. Calculate a.
-4, -2/9, 0, 9
Solve 3*b**2 - 240*b + 4800 = 0.
40
Factor -3*p**4 + 69*p**3 - 240*p**2 + 228*p.
-3*p*(p - 19)*(p - 2)**2
Factor -52728*d**3 - 6084*d**2 - 234*d - 3.
-3*(26*d + 1)**3
Factor 3*u**2/5 - 60*u + 1500.
3*(u - 50)**2/5
Factor -5*z**2 + 5.
-5*(z - 1)*(z + 1)
Determine a, given that 14*a**5 + 10*a**4 - 74*a**3 + 62*a**2 - 12*a = 0.
-3, 0, 2/7, 1
Determine g, given that -g**3/4 + 7*g**2/4 - 3*g = 0.
0, 3, 4
Suppose -2*x**5/3 - 28*x**4/3 - 8*x**3 + 28*x**2/3 + 26*x/3 = 0. Calculate x.
-13, -1, 0, 1
Factor -m**2 - m + 20.
-(m - 4)*(m + 5)
Determine z, given that 3*z**3 + 30*z**2 - 159*z + 126 = 0.
-14, 1, 3
Find n such that -4*n**3/9 + 8*n**2/9 - 4*n/9 = 0.
0, 1
Factor -5*q**3 - 20*q**2 + 15*q + 90.
-5*(q - 2)*(q + 3)**2
Factor -14*q**3 + 3844*q**2 - 15352*q/7 + 2192/7.
-2*(q - 274)*(7*q - 2)**2/7
Factor 3*v**3 - 24*v**2 + 60*v - 48.
3*(v - 4)*(v - 2)**2
Solve 6*s**3/11 + 2642*s**2/11 + 26480*s + 8800 = 0 for s.
-220, -1/3
Factor 2*a**2/15 - 14*a/5 - 48/5.
2*(a - 24)*(a + 3)/15
Factor 2*i**5/17 + 164*i**4/17 + 3522*i**3/17 + 6560*i**2/17 + 3200*i/17.
2*i*(i + 1)**2*(i + 40)**2/17
Find p, given that 9*p**5 - 51*p**4 - 9*p**3 + 219*p**2 - 108*p - 60 = 0.
-2, -1/3, 1, 2, 5
Let -2*b**2/7 - 1668*b/7 - 347778/7 = 0. What is b?
-417
Solve 9*v**3/5 - 47*v**2/5 + 78*v/5 - 8 = 0 for v.
1, 2, 20/9
Determine y so that 54*y**5 - 138*y**4 + 118*y**3 - 38*y**2 + 4*y = 0.
0, 2/9, 1/3, 1
Let -2*d**2/5 - 414*d/5 - 1496 = 0. Calculate d.
-187, -20
Let -2*i**4/9 + 10*i**3/9 - 4*i**2/3 = 0. Calculate i.
0, 2, 3
Factor 4*z**5 + 32*z**4 + 20*z**3 - 56*z**2.
4*z**2*(z - 1)*(z + 2)*(z + 7)
Determine l, given that -218*l**2 + 220*l - 2 = 0.
1/109, 1
What is j in -j**3/3 - 22*j**2/3 + 119*j/3 + 1156 = 0?
-17, 12
Suppose 3*b**2 + 15*b - 18 = 0. Calculate b.
-6, 1
Factor 5*o**3/2 - o**2 - 5*o/2 + 1.
(o - 1)*(o + 1)*(5*o - 2)/2
Suppose c**3 - 27*c**2/2 + 37*c/2 - 6 = 0. Calculate c.
1/2, 1, 12
Factor 2*o**4/5 - 32*o**3 - 162*o**2/5.
2*o**2*(o - 81)*(o + 1)/5
Let -4*q**4 - 52*q**3 - 164*q**2 - 188*q - 72 = 0. Calculate q.
-9, -2, -1
Let -y**2/3 + 858*y = 0. Calculate y.
0, 2574
Let -458*c**2/3 - 464*c/3 - 2 = 0. Calculate c.
-1, -3/229
Factor -2*u**4/5 + 2*u**3 - 12*u**2/5.
-2*u**2*(u - 3)*(u - 2)/5
Let -o**3 - 7*o**2 - 11*o - 5 = 0. Calculate o.
-5, -1
Suppose 2*p**4/3 + 8*p**3/3 + 10*p**2/3 + 4*p/3 = 0. What is p?
-2, -1, 0
Determine f so that -2*f**2/5 - 66*f/5 + 28 = 0.
-35, 2
Factor p**3/4 - 94*p**2 + 35717*p/4 - 34969/2.
(p - 187)**2*(p - 2)/4
Factor 2*h**2 - 150*h + 292.
2*(h - 73)*(h - 2)
Determine a so that -2*a**5 - 10*a**4 = 0.
-5, 0
Factor h**5/3 + 5*h**4/3 + 8*h**3/3 + 4*h**2/3.
h**2*(h + 1)*(h + 2)**2/3
What is p in -p**2/4 - 3*p/2 - 2 = 0?
-4, -2
What is s in -s**5/5 - 2*s**4 - 39*s**3/5 - 74*s**2/5 - 68*s/5 - 24/5 = 0?
-3, -2, -1
Factor -4*w**2/5 - 456*w/5 - 12996/5.
-4*(w + 57)**2/5
Let -4*j**3/7 - 76*j**2/7 - 20*j - 68/7 = 0. Calculate j.
-17, -1
Suppose -2*h**3 + 4*h**2 + 6*h = 0. What is h?
-1, 0, 3
Solve -z**2/5 - 98*z/5 = 0 for z.
-98, 0
Suppose -r**5 - 57*r**4 + 307*r**3 - 195*r**2 - 558*r = 0. Calculate r.
-62, -1, 0, 3
What is p in 8*p**5/3 + 46*p**4/3 + 28*p**3 + 56*p**2/3 + 4*p/3 - 2 = 0?
-3, -1, 1/4
Find r, given that -r**3 - 121*r**2/6 + 122*r/3 + 22/3 = 0.
-22, -1/6, 2
Factor 2*k**2 + 16*k + 14.
2*(k + 1)*(k + 7)
Factor n**3 + 2*n**2 - n - 2.
(n - 1)*(n + 1)*(n + 2)
Determine z so that 2*z**3/11 - 94*z**2/11 + 32*z - 344/11 = 0.
2, 43
Factor -t**3/2 - t**2 - t/2.
-t*(t + 1)**2/2
Find q such that -51005*q**2 - 12120*q - 720 = 0.
-12/101
Find c, given that -6*c**5 + 40*c**4 - 96*c**3 + 108*c**2 - 58*c + 12 = 0.
2/3, 1, 3
Let -5*b**3 - 370*b**2 - 725*b - 360 = 0. What is b?
-72, -1
Determine m so that -2*m**4 - 14*m**3 + 18*m**2 + 14*m - 16 = 0.
-8, -1, 1
Factor -b**5/6 - 23*b**4/6 - 139*b**3/6 + 45*b**2/2 + 324*b - 486.
-(b - 2)**2*(b + 9)**3/6
Factor 35*m**2/2 - 10685*m/2 + 1525.
5*(m - 305)*(7*m - 2)/2
Factor -3*c**2 - 132*c + 276.
-3*(c - 2)*(c + 46)
Suppose -22*t**4/15 - 46*t**3/15 + 28*t**2/5 + 184*t/15 + 16/15 = 0. What is t?
-2, -1/11, 2
What is t in -8*t**3/13 - 606*t**2/13 - 11400*t/13 + 2888/13 = 0?
-38, 1/4
Factor -3*z**2/4 + 153*z - 7803.
-3*(z - 102)**2/4
Let 2*l**3 - 8*l**2 - 10*l = 0. What is l?
-1, 0, 5
Solve r**2/7 - 24*r/7 + 144/7 = 0.
12
Factor -4*q**4/3 - 11*q**3/3 - 10*q**2/3 - q.
-q*(q + 1)**2*(4*q + 3)/3
Solve -r**5 + 6*r**4 + 10*r**3 - 20*r**2 - 9*r + 14 = 0.
-2, -1, 1, 7
Factor 5*y**2 + 75*y + 280.
5*(y + 7)*(y + 8)
Suppose 2*w**5 - 152*w**4 + 3036*w**3 - 5624*w**2 + 2738*w = 0. Calculate w.
0, 1, 37
Find u, given that -2*u**4/3 - 10*u**3/3 + 4*u**2 = 0.
-6, 0, 1
Let -507*l**4 - 2574*l**3 + 321*l**2 + 9108*l - 6348 = 0. Calculate l.
-46/13, 1
Suppose -4*t**2 + 40*t + 384 = 0. What is t?
-6, 16
Determine v, given that -v**2/6 + 7*v/6 - 1 = 0.
1, 6
Determine d, given that -9*d**4 - 56*d**3 - 93*d**2 - 54*d - 8 = 0.
-4, -1, -2/9
Suppose 2*z**2/3 + 8*z = 0. What is z?
-12, 0
Solve z**3/2 + 2269*z**2 - 9079*z/2 + 2270 = 0.
-4540, 1
Find h, given that 3*h**3 + 87*h**2 + 672*h + 588 = 0.
-14, -1
Let -m**3 - 6*m**2 + 9*m + 14 = 0. What is m?
-7, -1, 2
Factor -3*x**2/5 - 2004*x/5.
-3*x*(x + 668)/5
Let -15*z**4/2 + 1765*z**3/6 + 1085*z**2/2 + 345*z/2 - 205/3 = 0. Calculate z.
-1, 2/9, 41
What is f in -10*f**3/11 + 196*f**2/11 + 290*f/11 + 84/11 = 0?
-1, -2/5, 21
Let k**2/8 + 185*k/2 - 741/8 = 0. What is k?
-741, 1
Find f such that -4*f**3 - 87*f**2 + 114*f - 23 = 0.
-23, 1/4, 1
Factor -3*s**3/4 + 9*s**2/2 + 3*s/4 - 9/2.
-3*(s - 6)*(s - 1)*(s + 1)/4
Let -9*o**4/4 - 87*o**3/4 + 237*o**2/4 - 177*o/4 + 9 = 0. What is o?
-12, 1/3, 1
Solve -h**4 + 26*h**3 + 55*h**2 + 28*h = 0 for h.
-1, 0, 28
What is x in 10*x**5/9 - 424*x**4/9 - 272*x**3/9 + 596*x**2/9 + 262*x/9 - 172/9 = 0?
-1, 2/5, 1, 43
Factor 2116*f**4 - 2484*f**3 + 384*f**2 - 16*f.
4*f*(f - 1)*(23*f - 2)**2
Factor -2*t**2/7 + 15048*t/7 - 28305288/7.
-2*(t - 3762)**2/7
Factor p**3 + 60*p**2 + 668*p + 1104.
(p + 2)*(p + 12)*(p + 46)
Suppose -4*z**5/7 - 36*z**4/7 + 4*z**3/7 + 324*z**2/7 + 288*z/7 = 0. What is z?
-8, -3, -1, 0, 3
Determine u, given that 5*u**3 - 320*u**2 + 5425*u - 9610 = 0.
2, 31
Factor 2*i**2/17 + 568*i/17 + 40328/17.
2*(i + 142)**2/17
Suppose 4*k**4 + 24*k**3 + 32*k**2 - 24*k - 36 = 0. What is k?
-3, -1, 1
Let 2*o**4/11 - 6*o**2/11 + 4*o/11 = 0. What is o?
-2, 0, 1
Let 45*o**4 + 110*o**3 + 85*o**2 + 20*o = 0. What is o?
-1, -4/9, 0
Solve -3*q**4/2 - 3*q**3 + 15*q**2/2 + 9*q = 0.
-3, -1, 0, 2
Determine w so that 3*w**2 - 864*w + 861 = 0.
1, 287
Suppose -n**