p**5/4 - 133*p**4/4 + 195*p**3/2 + p**2 - 130*p = 0.
-1, 0, 2, 130
Factor 3*m**5/5 + 3*m**4/5 - 114*m**3/5 + 372*m**2/5 - 456*m/5 + 192/5.
3*(m - 2)**3*(m - 1)*(m + 8)/5
Factor -5*t**4/4 - 9*t**3 + 33*t**2/4 + 2*t.
-t*(t - 1)*(t + 8)*(5*t + 1)/4
Suppose -5*b**5 + 5*b**4 + 45*b**3 - 5*b**2 - 100*b - 60 = 0. Calculate b.
-2, -1, 2, 3
Find w, given that 2*w**4/17 - 22*w**3/17 + 82*w**2/17 - 122*w/17 + 60/17 = 0.
1, 2, 3, 5
Factor -4*j**2 + 96*j + 100.
-4*(j - 25)*(j + 1)
Suppose 3*j**3 + 18*j**2 - 111*j + 90 = 0. What is j?
-10, 1, 3
Factor -4*f**2/5 + 25456*f/5 - 40500496/5.
-4*(f - 3182)**2/5
Find c such that 4*c**4 + 176*c**3 - 2076*c**2 + 4536*c = 0.
-54, 0, 3, 7
Suppose -2*x**5 + 412*x**4 - 1224*x**3 + 1220*x**2 - 406*x = 0. What is x?
0, 1, 203
Solve -8*z**4 + 38*z**3 + 26*z**2 - 188*z - 48 = 0.
-2, -1/4, 3, 4
Factor w**2 + 232*w - 705.
(w - 3)*(w + 235)
Suppose -2*b**4/9 - 8*b**3 + 50*b**2/3 - 76*b/9 = 0. Calculate b.
-38, 0, 1
Factor g**4/5 + 34*g**3/5 + 64*g**2/5.
g**2*(g + 2)*(g + 32)/5
Factor -28227*n**5 - 1164*n**4 - 12*n**3.
-3*n**3*(97*n + 2)**2
Factor -u**2/6 - 3*u/2 + 95/3.
-(u - 10)*(u + 19)/6
Solve l**2/2 - 292*l + 42632 = 0 for l.
292
What is i in 3*i**4/5 + 37*i**3/5 - 113*i**2/5 + 103*i/5 - 6 = 0?
-15, 2/3, 1
Factor -10*r**2 - 5235*r/2 + 655.
-5*(r + 262)*(4*r - 1)/2
Determine f so that 3*f**4 + 150*f**3 + 1872*f**2 - 150*f - 1875 = 0.
-25, -1, 1
Solve -c**3/2 - 3*c**2 + 31*c/2 + 18 = 0.
-9, -1, 4
Determine n so that -1620*n**4 - 3060*n**3 - 1265*n**2 + 170*n - 5 = 0.
-1, 1/18
Solve 2*v**5/5 - 4*v**4/5 - 28*v**3/5 - 16*v**2/5 + 26*v/5 + 4 = 0.
-2, -1, 1, 5
Let 4*c**2 - 68*c + 208 = 0. Calculate c.
4, 13
Find l, given that -2*l**4 - 1088*l**3 - 147968*l**2 = 0.
-272, 0
Suppose -30*x**2/13 - 34*x/13 - 4/13 = 0. What is x?
-1, -2/15
Factor -8450*c**3/3 - 11440*c**2 - 696*c - 32/3.
-2*(c + 4)*(65*c + 2)**2/3
Find p, given that 220*p**5/3 + 1182*p**4 + 272*p**3/3 - 2258*p**2/3 + 244*p - 64/3 = 0.
-16, -1, 2/11, 1/5, 1/2
Factor -3*s**2 + 66*s - 315.
-3*(s - 15)*(s - 7)
Determine q, given that 2*q**2/17 + 72*q/17 + 256/17 = 0.
-32, -4
Factor -2*w**3 - 1034*w**2 - 134160*w - 133128.
-2*(w + 1)*(w + 258)**2
Factor -4*j**3 + 404*j**2 - 400*j.
-4*j*(j - 100)*(j - 1)
What is m in -m**2/4 + 25*m/4 - 6 = 0?
1, 24
Factor -2*j**3/13 - 70*j**2/13 - 686*j/13 - 2058/13.
-2*(j + 7)**2*(j + 21)/13
Factor -2*b**3 - 6*b**2 - 4*b.
-2*b*(b + 1)*(b + 2)
Solve 2*v**3/3 + 14*v**2 - 102*v + 162 = 0 for v.
-27, 3
Let 5*f**4 - 50*f**3 + 75*f**2 + 50*f - 80 = 0. What is f?
-1, 1, 2, 8
Factor -c**5/2 + 5*c**3 - 10*c**2 + 15*c/2 - 2.
-(c - 1)**4*(c + 4)/2
What is d in 3*d**2 - 189*d - 390 = 0?
-2, 65
Suppose -3*r**5 - 396*r**4 - 390*r**3 + 396*r**2 + 393*r = 0. Calculate r.
-131, -1, 0, 1
Factor -44*h**2 + 496*h - 132.
-4*(h - 11)*(11*h - 3)
Factor a**4/4 + a**3 + 3*a**2/4 - a - 1.
(a - 1)*(a + 1)*(a + 2)**2/4
Let -3*p**3/4 + 3*p = 0. Calculate p.
-2, 0, 2
What is d in -6*d**5/11 - 2*d**4/11 + 408*d**3/11 + 136*d**2/11 - 1536*d/11 - 512/11 = 0?
-8, -2, -1/3, 2, 8
Solve 3*u**3/2 - 177*u**2 - 357*u/2 = 0.
-1, 0, 119
Solve u**5/2 - 11*u**4/2 - u**3/2 + 11*u**2/2 = 0 for u.
-1, 0, 1, 11
Factor 3*n**5 + 108*n**4 + 1104*n**3 + 4110*n**2 + 2925*n - 8250.
3*(n - 1)*(n + 5)**3*(n + 22)
Suppose -4*i**3 - 192*i**2 - 2384*i - 4032 = 0. What is i?
-28, -18, -2
Find z such that -2*z**2/11 + 48*z/11 + 50/11 = 0.
-1, 25
Solve 34*w**4 - 72*w**3 + 8*w**2 = 0.
0, 2/17, 2
Factor -r**2/3 + 88*r/3 - 1936/3.
-(r - 44)**2/3
Let 3*s**2 + 21*s - 180 = 0. What is s?
-12, 5
Solve 3*p**4 - 48*p**3 - 3*p**2 + 48*p = 0.
-1, 0, 1, 16
Let 3*n**4 + 78*n**3 - 81*n**2 = 0. Calculate n.
-27, 0, 1
Factor 4*n**4 - 8*n**3.
4*n**3*(n - 2)
Factor -g**2/2 + 83*g - 6889/2.
-(g - 83)**2/2
Factor 3*n**2/5 + 1329*n/5 - 534.
3*(n - 2)*(n + 445)/5
Find f, given that 2*f**3/7 - 4*f**2/7 - 26*f/7 - 20/7 = 0.
-2, -1, 5
Determine h, given that -5*h**2 + 220*h + 225 = 0.
-1, 45
Solve 5*y**4 + 1315*y**3 - 15*y**2 - 3955*y - 2630 = 0 for y.
-263, -1, 2
Solve -15*l**5 + 70*l**4 - 70*l**3 - 40*l**2 + 85*l - 30 = 0 for l.
-1, 2/3, 1, 3
Let 6*p**4/13 + 34*p**3/13 - 12*p**2/13 = 0. What is p?
-6, 0, 1/3
Factor 4*c**2/3 - 568*c/3 + 4288/3.
4*(c - 134)*(c - 8)/3
Factor -2*w**3/11 - 14*w**2/11 + 2*w/11 + 14/11.
-2*(w - 1)*(w + 1)*(w + 7)/11
Determine s, given that -4*s**5 + 24*s**4 + 40*s**3 - 64*s**2 - 132*s - 56 = 0.
-1, 2, 7
Factor -4*p**3/3 - 34*p**2/9 + 2*p/3.
-2*p*(p + 3)*(6*p - 1)/9
Determine g so that g**2/4 + 3877*g/2 + 15031129/4 = 0.
-3877
Solve -m**2 + 24*m + 145 = 0 for m.
-5, 29
Factor 4*w**3 + 4*w**2.
4*w**2*(w + 1)
Factor -48*n**5 - 4*n**4 + 4*n**3.
-4*n**3*(3*n + 1)*(4*n - 1)
Determine g, given that -g**3/6 - 2*g**2/3 - g/6 + 1 = 0.
-3, -2, 1
Factor 11*l**2/5 - 13066*l/5 - 2376/5.
(l - 1188)*(11*l + 2)/5
Solve -o**2 - 6*o + 27 = 0 for o.
-9, 3
Factor -2*o**2/21 - 194*o/21 - 3404/21.
-2*(o + 23)*(o + 74)/21
Determine a, given that -a**3/2 + 287*a**2/2 + a/2 - 287/2 = 0.
-1, 1, 287
Factor 5*g**3 - 2655*g**2 + 469935*g - 27726165.
5*(g - 177)**3
Let 3*z**5/4 + 39*z**4/4 - 453*z**3/4 + 1077*z**2/4 + 27*z/2 - 378 = 0. Calculate z.
-21, -1, 2, 3, 4
Find i, given that -i**5 + 30*i**4 + 372*i**3 - 830*i**2 + 429*i = 0.
-11, 0, 1, 39
Suppose -2*i**5/9 + 14*i**4/9 + 6*i**3 + 58*i**2/9 + 20*i/9 = 0. Calculate i.
-1, 0, 10
Solve 5*o**2 - 16325*o = 0.
0, 3265
Factor -4*z**2/3 + 416*z/3 + 428.
-4*(z - 107)*(z + 3)/3
Find g such that -3*g**3/8 + 6*g**2 + 3*g/8 - 6 = 0.
-1, 1, 16
Factor 2*b**4 + 16*b**3 + 34*b**2 + 20*b.
2*b*(b + 1)*(b + 2)*(b + 5)
Find x such that -x**5/3 - x**4 + 5*x**3/3 + x**2 - 4*x/3 = 0.
-4, -1, 0, 1
Suppose 4*x**3 - 144*x**2 - 1008*x = 0. What is x?
-6, 0, 42
Let -2*l**2/3 + 106*l/3 - 104/3 = 0. What is l?
1, 52
Factor v**2 - 3908*v - 3909.
(v - 3909)*(v + 1)
Let 2*d**2/5 - 6368*d/5 + 5068928/5 = 0. What is d?
1592
Find w, given that -26*w**3/15 - 4*w**2/3 + 2*w/5 = 0.
-1, 0, 3/13
Determine j so that -2*j**2 - 4*j + 16 = 0.
-4, 2
Factor -4*o**3 + 68*o**2 - 209*o - 722.
-(o + 2)*(2*o - 19)**2
Let 4*i**3 - 2012*i**2 + 241580*i + 2906156 = 0. What is i?
-11, 257
Factor g**5 + 2*g**4 - 88*g**3 + 16*g**2 + 1104*g + 1440.
(g - 6)**2*(g + 2)**2*(g + 10)
Factor 4*a**4/3 - 4*a**3/3 - 2944*a**2/3 + 31744*a/3.
4*a*(a - 16)**2*(a + 31)/3
Find y such that -3*y**4 + 66*y**3 - 120*y**2 = 0.
0, 2, 20
Factor -10*l**4 + 55*l**3 + 215*l**2 - 120*l.
-5*l*(l - 8)*(l + 3)*(2*l - 1)
Factor 4*m**2/5 + 364*m/5 - 1128/5.
4*(m - 3)*(m + 94)/5
Factor -j**4 + 111*j**3 - 3242*j**2 + 8964*j - 5832.
-(j - 54)**2*(j - 2)*(j - 1)
Factor k**2/5 + 33*k/5 - 34/5.
(k - 1)*(k + 34)/5
Let -c**5/5 - 17*c**4 - 33*c**3 + 17*c**2 + 166*c/5 = 0. Calculate c.
-83, -2, -1, 0, 1
Factor -k**3 + 17*k**2 - 80*k + 64.
-(k - 8)**2*(k - 1)
Determine p, given that 2*p**3/3 + 2*p**2 + 4*p/3 = 0.
-2, -1, 0
Find t, given that t**2/4 - 1161*t/4 - 581/2 = 0.
-1, 1162
Factor 2*v**4/3 - 22*v**3/3 + 12*v**2.
2*v**2*(v - 9)*(v - 2)/3
Factor 2*q**3/5 + 6*q**2/5 - 332*q/5 - 336/5.
2*(q - 12)*(q + 1)*(q + 14)/5
What is w in 4*w**4 - 760*w**3 + 1504*w**2 = 0?
0, 2, 188
Factor -p**4/2 - 5*p**3/2 + 33*p**2/2 + 77*p/2 + 20.
-(p - 5)*(p + 1)**2*(p + 8)/2
Find w such that -2*w**5/9 + 68*w**4/9 - 238*w**3/3 + 1960*w**2/9 + 2744*w/9 = 0.
-1, 0, 7, 14
Factor -v**2/8 - 1409*v/8.
-v*(v + 1409)/8
Solve 96*w**5 - 2288*w**4 + 3974*w**3 - 2268*w**2 + 530*w - 44 = 0.
1/4, 1/3, 1, 22
Solve y**2/5 + 78*y/5 + 1521/5 = 0.
-39
Solve -4*s**2 - 14488*s - 13118884 = 0.
-1811
Determine x, given that -2*x**3/17 + 54*x**2/17 - 270*x/17 + 378/17 = 0.
3, 21
Find i, given that i**3 - 9*i**2 + 20*i = 0.
0, 4, 5
Determine k so that -36*k**4 + 72096*k**3 - 36047968*k**2 - 48160128*k - 16064064 = 0.
-2/3, 1002
Factor 3*g**2 - 300*g + 7500.
3*(g - 50)**2
Let -x**3 - 13*x**2 + x + 13 = 0. What is x?
-13, -1, 1
Factor -h**2 + 148*h - 5476.
-(h - 74)**2
Suppose -4*z**2 - 240*z = 0. What is z?
-60, 0
Factor -5*c**3 - 3700*c**2 - 14740*c - 14720.
-5*(c + 2)**2*(c + 736)
Factor -5*s**3/2 - 10*s**2 + 10*s + 40.
-5*(s - 2)*(s + 2)*(s + 4)/2
Let 5*g**5/3 + 43*g**4/3 - 41*g**3 + 97*g**2/3 - 22*g/3 = 0. Calculate g.
-11, 0, 2/5, 1
Factor 6*z**4 - 4*z**3 - 38*z**2 - 12*z.
2*z*(z - 3)*(z + 2)*(3*z + 1)
Factor 2*b**4/7 - 12*b**3/7 - 2*b**2.
2*b**2*(b - 7)*(b + 1)/7
Factor v**2/2 - 5*v/2 - 7.
(v - 7)*(v + 2