*z**3/3 - 20*z**2 + 800*z/3 + 2750/3 = 0.
-11, -5, 5
Factor 4*s**4 + 72*s**3 + 180*s**2.
4*s**2*(s + 3)*(s + 15)
Factor 5*l**4 + 30*l**3.
5*l**3*(l + 6)
Let f**2/2 - 37*f/2 - 60 = 0. What is f?
-3, 40
Suppose 3*i**3 - 30*i**2 + 21*i + 54 = 0. What is i?
-1, 2, 9
Solve k**5/5 + k**4 + 7*k**3/5 - k**2/5 - 8*k/5 - 4/5 = 0.
-2, -1, 1
Let -231*g**4 - 2796*g**3 + 2727*g**2 + 456*g - 156 = 0. Calculate g.
-13, -2/7, 2/11, 1
Solve -q**5/8 - 9*q**4 - 194*q**3 - 1152*q**2 - 2048*q = 0.
-32, -4, 0
Find i such that 5*i**5 - 20*i**4 - 25*i**3 + 100*i**2 + 20*i - 80 = 0.
-2, -1, 1, 2, 4
What is i in -2*i**2/13 - 350*i/13 - 348/13 = 0?
-174, -1
Factor 4*p**4 - 24*p**3 + 44*p**2 - 24*p.
4*p*(p - 3)*(p - 2)*(p - 1)
Factor 4*u**2/7 + 136*u/7 + 132/7.
4*(u + 1)*(u + 33)/7
Factor 3*p**3/8 + 9*p**2/4 - 81*p/8.
3*p*(p - 3)*(p + 9)/8
What is g in 5*g**3 + 320*g**2 + 5120*g = 0?
-32, 0
Suppose -6*m**5 - 46*m**4 - 94*m**3 - 74*m**2 - 20*m = 0. Calculate m.
-5, -1, -2/3, 0
Find v, given that 2*v**4/13 - 18*v**2/13 = 0.
-3, 0, 3
Determine m, given that 3*m**5 - 15*m**4 - 4725*m**3 + 119595*m**2 - 927690*m + 1414944 = 0.
-48, 2, 17
Factor 5*k**4/4 - 35*k**3.
5*k**3*(k - 28)/4
Factor -3*q**4/2 + 45*q**3/2 - 75*q**2.
-3*q**2*(q - 10)*(q - 5)/2
Let 15*b**5 - 335*b**4 + 100*b**3 + 220*b**2 = 0. Calculate b.
-2/3, 0, 1, 22
Find s such that -33*s**4 - 93*s**3 + 18*s**2 = 0.
-3, 0, 2/11
Factor 5*b**2 - 5*b - 100.
5*(b - 5)*(b + 4)
Factor -4*w**4/3 + 4*w**3 - 16*w/3.
-4*w*(w - 2)**2*(w + 1)/3
Solve -2*o**3/15 - 4*o**2/5 - 6*o/5 - 8/15 = 0.
-4, -1
Factor 12*i**3 - 201*i**2 - 507*i - 114.
3*(i - 19)*(i + 2)*(4*i + 1)
Let -111*i**3/8 - 3*i**2/4 + 111*i/8 + 3/4 = 0. What is i?
-1, -2/37, 1
Let -2*j**2/3 - 988*j/3 + 330 = 0. Calculate j.
-495, 1
Let -2*i**3/19 - 330*i**2/19 - 13776*i/19 - 13448/19 = 0. What is i?
-82, -1
Factor 2*s**4 + 76*s**3 - 8326*s**2 - 171912*s + 10233288.
2*(s - 39)**2*(s + 58)**2
Factor -4*b**3 + 88*b**2 + 188*b + 96.
-4*(b - 24)*(b + 1)**2
Factor 5*i**2 + 370*i + 6845.
5*(i + 37)**2
Factor d**4 + 7*d**3 + 7*d**2 - 15*d.
d*(d - 1)*(d + 3)*(d + 5)
Determine l so that 2*l**2/9 + 80*l/3 + 800 = 0.
-60
Determine t so that -27*t**5/7 + 36*t**4/7 + 177*t**3 + 1740*t**2/7 - 996*t/7 - 480/7 = 0.
-5, -2, -1/3, 2/3, 8
What is p in p**5/4 - 9*p**4/4 + 15*p**3/4 + 25*p**2/4 = 0?
-1, 0, 5
Solve -2*a**5/5 - 18*a**4/5 - 54*a**3/5 - 54*a**2/5 = 0.
-3, 0
Find h such that -3*h**2 + 516*h = 0.
0, 172
Factor 2*d**3/3 + 12*d**2 - 170*d/3 + 44.
2*(d - 3)*(d - 1)*(d + 22)/3
Factor r**2 + 32*r + 256.
(r + 16)**2
Factor -2*m**5/13 + 8*m**4/13 - 12*m**3/13 + 8*m**2/13 - 2*m/13.
-2*m*(m - 1)**4/13
Suppose -3*a**4 + 36*a**3 - 129*a**2 + 72*a + 240 = 0. Calculate a.
-1, 4, 5
Factor -7*f**2/6 + 319*f/3 + 92.
-(f - 92)*(7*f + 6)/6
Suppose 3*i**3/4 + 3*i**2/4 - 99*i/4 + 189/4 = 0. What is i?
-7, 3
Let -2*r**2/9 + 4*r/3 = 0. Calculate r.
0, 6
Factor -r**2 - 38*r + 123.
-(r - 3)*(r + 41)
Factor -4*m**4 + 908*m**3 - 904*m**2.
-4*m**2*(m - 226)*(m - 1)
Find r, given that -3*r**2 + 30*r = 0.
0, 10
Factor -z**3/8 + 603*z**2/8 - 121203*z/8 + 8120601/8.
-(z - 201)**3/8
Factor -4*w**2/9 + 32*w/9 + 64/3.
-4*(w - 12)*(w + 4)/9
Factor d**3/5 + 14*d**2/5 + 11*d/5 - 26/5.
(d - 1)*(d + 2)*(d + 13)/5
Let -2*v**2/3 + 288*v - 31104 = 0. What is v?
216
Factor -2*k**4/9 + 2*k**3/3 + 4*k**2/3 - 16*k/9.
-2*k*(k - 4)*(k - 1)*(k + 2)/9
Let 980*a**4 + 2520*a**3 + 745*a**2 - 705*a + 90 = 0. What is a?
-2, -1, 3/14
Factor -5*d**5 + 15*d**3 + 10*d**2.
-5*d**2*(d - 2)*(d + 1)**2
Find p such that 4*p**2 - 24*p = 0.
0, 6
Factor 3*q**2/5 - 27*q + 492/5.
3*(q - 41)*(q - 4)/5
Factor 3*r**2 - 1278*r + 1275.
3*(r - 425)*(r - 1)
Factor 4*v**2 - 7056.
4*(v - 42)*(v + 42)
Factor d**2 + 102*d + 101.
(d + 1)*(d + 101)
Factor 5*o**2 + 1450*o + 4305.
5*(o + 3)*(o + 287)
Solve -5*q**3 + 120*q**2 - 225*q + 110 = 0 for q.
1, 22
Find x, given that 4*x**4 - 76*x**3 - 444*x**2 + 1804*x - 1288 = 0.
-7, 1, 2, 23
Solve -102*o**4/5 - 353*o**3/5 - 139*o**2/5 + 6*o/5 = 0 for o.
-3, -1/2, 0, 2/51
Find k, given that -25*k**3 - 285*k**2 + 178*k - 24 = 0.
-12, 1/5, 2/5
Factor 4*c**4 + 12*c**3 + 8*c**2.
4*c**2*(c + 1)*(c + 2)
Determine a, given that a**2/3 - 46*a/3 + 91 = 0.
7, 39
Factor 2*a**4/3 + 2809*a**3/6 + 109629*a**2 + 8569314*a + 2135484.
(a + 234)**3*(4*a + 1)/6
Solve -o**3/2 - 303*o**2/2 - 448*o + 600 = 0 for o.
-300, -4, 1
Determine d so that -5*d**2 - 7590*d - 2880405 = 0.
-759
Suppose 4*a**4 - 114*a**3 - 962*a**2 + 1788*a + 1120 = 0. What is a?
-8, -1/2, 2, 35
Suppose 3*p**3 - 10953*p**2 + 10002825*p - 9991875 = 0. What is p?
1, 1825
Find s such that 8*s**4/3 + 42*s**3 + 82*s**2/3 - 42*s - 30 = 0.
-15, -1, -3/4, 1
Let 3*q**3 + 33*q**2 - 75*q + 39 = 0. What is q?
-13, 1
Factor 14*i**3 + 2796*i**2 + 139200*i - 40000.
2*(i + 100)**2*(7*i - 2)
Find o such that 3*o**4/7 - 330*o**3/7 + 6771*o**2/7 + 133956*o/7 = 0.
-12, 0, 61
Determine q so that q**3/4 - 15*q**2/4 - 27*q/2 = 0.
-3, 0, 18
Factor 2*k**3 - 8*k.
2*k*(k - 2)*(k + 2)
Factor 4*n**4/3 + 16*n**3/3 + 4*n**2 - 16*n/3 - 16/3.
4*(n - 1)*(n + 1)*(n + 2)**2/3
Factor 2*h**5/17 + 18*h**4/17.
2*h**4*(h + 9)/17
Let 5*n**5 - 70*n**4 + 275*n**3 - 250*n**2 - 280*n + 320 = 0. Calculate n.
-1, 1, 2, 4, 8
Factor 2*u**3 + 4*u**2.
2*u**2*(u + 2)
Find r such that r**5/6 - r**4/3 - 2*r**3 + 19*r**2/3 - 37*r/6 + 2 = 0.
-4, 1, 3
Determine k so that -10*k**4 - 32*k**3 - 43*k**2/8 + 2*k + 3/8 = 0.
-3, -1/4, -1/5, 1/4
Find t such that 5*t**5 + 105*t**4 - 345*t**3 + 355*t**2 - 120*t = 0.
-24, 0, 1
Determine q, given that -q**3/3 + 14*q**2 - 147*q = 0.
0, 21
Factor 2*u**5 - 4*u**4 - 6*u**3 + 8*u**2 + 8*u.
2*u*(u - 2)**2*(u + 1)**2
Factor -r**2/6 - 121*r/6 + 497.
-(r - 21)*(r + 142)/6
Find s such that 54*s**4/11 + 336*s**3/11 + 666*s**2/11 + 456*s/11 + 72/11 = 0.
-3, -2, -1, -2/9
Solve -2*s**5/7 - 24*s**4/7 + 30*s**3/7 + 52*s**2/7 = 0.
-13, -1, 0, 2
Find g, given that -14*g**4/17 + 1950*g**3/17 - 4392*g**2/17 + 1096*g/17 = 0.
0, 2/7, 2, 137
Factor -3*s**4/7 + 45*s**3/7 - 117*s**2/7 + 111*s/7 - 36/7.
-3*(s - 12)*(s - 1)**3/7
Factor k**3/7 - 10*k**2/7 + 17*k/7 - 8/7.
(k - 8)*(k - 1)**2/7
Factor -z**2 - 756*z - 142884.
-(z + 378)**2
Factor 4*i**4 - 872*i**3 + 48388*i**2 - 94176*i + 46656.
4*(i - 108)**2*(i - 1)**2
Find b, given that -5*b**4 - 70*b**3 + 12000*b**2 - 178560*b = 0.
-62, 0, 24
Factor -j**2 + 21*j - 20.
-(j - 20)*(j - 1)
Determine x, given that -x**3/2 + 435*x**2/2 - 63075*x/2 + 3048625/2 = 0.
145
Factor -2*q**2 - 7*q - 6.
-(q + 2)*(2*q + 3)
Factor -2*u**2/3 - 36*u - 486.
-2*(u + 27)**2/3
What is o in -o**3/4 + 807*o**2/4 - 217083*o/4 + 19465109/4 = 0?
269
Suppose -2*w**3/17 - 72*w**2/17 + 2*w/17 + 72/17 = 0. Calculate w.
-36, -1, 1
Determine u, given that -u**5/5 - 14*u**4/5 - 2*u**3 + 44*u**2/5 + 67*u/5 + 26/5 = 0.
-13, -1, 2
Factor -4*t**2/7 + 492*t/7 - 1440/7.
-4*(t - 120)*(t - 3)/7
Factor -j**2 - 6*j + 91.
-(j - 7)*(j + 13)
Factor -148*v**4 - 6668*v**3 - 100260*v**2 - 504900*v - 27000.
-4*(v + 15)**3*(37*v + 2)
Factor -5*j**3 + 85*j**2 - 275*j + 195.
-5*(j - 13)*(j - 3)*(j - 1)
Factor 2*n**2/9 - 12*n - 110/9.
2*(n - 55)*(n + 1)/9
Solve 3*n**3 + 279*n**2 + 6345*n - 6627 = 0 for n.
-47, 1
Factor 3*r**2 - 24*r - 384.
3*(r - 16)*(r + 8)
Find i such that 2*i**3/13 - 114*i**2/13 + 1680*i/13 - 1568/13 = 0.
1, 28
Find f, given that f**5 - 18*f**4 + 123*f**3 - 394*f**2 + 576*f - 288 = 0.
1, 3, 4, 6
Determine t so that 10*t**2/3 + 5*t - 70/3 = 0.
-7/2, 2
Let 2*t**4 - 90*t**3 + 1138*t**2 - 2814*t + 1764 = 0. Calculate t.
1, 2, 21
Factor -u**4/3 - 24*u**3 - 209*u**2/3 - 46*u.
-u*(u + 1)*(u + 2)*(u + 69)/3
Find r, given that 4*r**5/3 - 500*r**4/3 + 2876*r**3/3 - 2380*r**2/3 = 0.
0, 1, 5, 119
Determine g so that -3*g**2 + 33*g - 72 = 0.
3, 8
Find m, given that 12*m**2/5 - 87*m + 108/5 = 0.
1/4, 36
Factor -n**4 - 177*n**3 - 7562*n**2 + 23940*n - 16200.
-(n - 2)*(n - 1)*(n + 90)**2
Suppose 3*l**3/2 - 9*l**2/2 - 108*l + 486 = 0. Calculate l.
-9, 6
Find c such that 3*c**3/2 + 9*c**2 = 0.
-6, 0
Factor 2*i**2 - 3310*i.
2*i*(i - 1655)
Factor -m**2/7 + 19*m/7 - 12.
-(m - 12)*(m - 7)/7
Factor -3*f**3 - 33*f**2 - 90*f.
-3*f*(f + 5)*(f + 6)
Determine q so that -2*q**5/5 - 24*q**4 - 1674*q**3/5 + 3844*q**2/5 = 0.
-31, 0, 2
Factor 42*t**2/11 - 40*t/11 + 8/11.
2*(3*t - 2)*(7*t - 2)/11
Find r, given that -r**5/4 - 45*r**4