- 44*m**3 - 4*m**2 + 44*m.
4*m*(m - 11)*(m - 1)*(m + 1)
Factor -5*o**5 + 10*o**4 - 10*o**2 + 5*o.
-5*o*(o - 1)**3*(o + 1)
Determine m, given that 4*m**2/5 - 34*m/5 - 18/5 = 0.
-1/2, 9
Find n, given that -2*n**4/15 - 22*n**3/15 - 2*n**2/5 + 406*n/15 + 392/15 = 0.
-7, -1, 4
Factor -3*g**4 - 12*g**3 - 3*g**2 + 18*g.
-3*g*(g - 1)*(g + 2)*(g + 3)
Factor -5*d**2 - 1545*d - 6100.
-5*(d + 4)*(d + 305)
Let 5*y**2 - 5420*y + 5415 = 0. Calculate y.
1, 1083
Factor -2*w**4 + 142*w**3 - 268*w**2 - 568*w + 1104.
-2*(w - 69)*(w - 2)**2*(w + 2)
Solve -196*o**5/5 + 112*o**4/5 + 2336*o**3/5 + 1792*o**2/5 - 320*o + 256/5 = 0 for o.
-2, 2/7, 4
Let 2*j**3/9 + 326*j**2/3 = 0. What is j?
-489, 0
Determine d, given that -4*d**4 + 20*d**3 - 36*d**2 + 28*d - 8 = 0.
1, 2
Determine x, given that -x**3 + 48*x**2 + 204*x + 208 = 0.
-2, 52
Suppose -10*h**5/9 + 1072*h**4/9 - 38014*h**3/9 + 48360*h**2 + 42336*h - 10368 = 0. Calculate h.
-1, 1/5, 36
Suppose 12*n**5 + 500*n**4/7 - 788*n**3/7 - 4548*n**2/7 + 288*n/7 + 432/7 = 0. Calculate n.
-6, -3, -2/7, 1/3, 3
Factor -o**2/10 + 639*o/10 + 64.
-(o - 640)*(o + 1)/10
Suppose 4*s**5/5 + 124*s**4/5 = 0. What is s?
-31, 0
Find a, given that a**3/4 + 7*a**2/4 - 9*a/4 - 63/4 = 0.
-7, -3, 3
Let -242*m**2 - 2640*m - 7200 = 0. What is m?
-60/11
Factor -3*z**5 - 162*z**4 - 3027*z**3 - 22680*z**2 - 58800*z.
-3*z*(z + 7)**2*(z + 20)**2
Let -2*l**2/5 + 212*l/5 - 5618/5 = 0. Calculate l.
53
Factor 2*p**2/7 - 40*p/7 + 102/7.
2*(p - 17)*(p - 3)/7
Factor 3*m**3 - 306*m**2 + 10404*m - 117912.
3*(m - 34)**3
Factor -3*b**3 + 3*b**2 + 72*b + 108.
-3*(b - 6)*(b + 2)*(b + 3)
What is g in -g**2/4 - 90*g = 0?
-360, 0
Solve -f**2/4 - 85*f - 7225 = 0 for f.
-170
Factor -u**3 + 10*u**2 - 16*u.
-u*(u - 8)*(u - 2)
Find x, given that x**4/4 - 3*x**3/4 - 19*x**2/4 + 3*x/4 + 9/2 = 0.
-3, -1, 1, 6
Suppose -h**5/6 + 31*h**3/6 - 53*h**2/3 + 22*h - 28/3 = 0. What is h?
-7, 1, 2
Factor -3*u**4 - 405*u**3 - 2337*u**2 - 1935*u.
-3*u*(u + 1)*(u + 5)*(u + 129)
Solve -4*a**4 + 12*a**3 + 36*a**2 - 92*a + 48 = 0.
-3, 1, 4
Factor 3*q**3 - 1260*q**2 + 2511*q - 1254.
3*(q - 418)*(q - 1)**2
Suppose 3*x**3/5 + 156*x**2/5 - 159*x/5 = 0. What is x?
-53, 0, 1
Find l, given that -30*l**5/11 - 328*l**4/11 - 1042*l**3/11 - 960*l**2/11 - 216*l/11 = 0.
-6, -18/5, -1, -1/3, 0
Suppose -5*i**4/3 - 55*i**3/3 - 55*i**2 - 25*i/3 + 250/3 = 0. What is i?
-5, -2, 1
Find y such that 2*y**2/11 + 20*y/11 + 32/11 = 0.
-8, -2
Solve -4*y**3 + 544*y**2 + 4*y - 544 = 0 for y.
-1, 1, 136
Factor -2*i**3 + 66*i**2 + 68*i.
-2*i*(i - 34)*(i + 1)
Determine y, given that -4*y**3 + 156*y**2 + 160*y = 0.
-1, 0, 40
Factor -l**2 + 142*l - 141.
-(l - 141)*(l - 1)
Factor 2*i**3/17 + 2*i**2/17 - 4*i/17.
2*i*(i - 1)*(i + 2)/17
Factor -365*d**5 + 1500*d**4 - 1620*d**3 + 160*d**2.
-5*d**2*(d - 2)**2*(73*d - 8)
Solve -2*q**4/17 + 6*q**3/17 + 76*q**2/17 - 384*q/17 + 448/17 = 0 for q.
-7, 2, 4
Determine g so that 2*g**2 - 126*g = 0.
0, 63
Factor 10*m**3 + 224*m**2 + 418*m + 204.
2*(m + 1)**2*(5*m + 102)
What is z in 28*z**2 - 92*z + 24 = 0?
2/7, 3
Determine i so that i**3/7 - 17*i**2/7 = 0.
0, 17
Find y such that 2*y**4 + 30*y**3 + 144*y**2 + 216*y = 0.
-6, -3, 0
Factor -d**3/2 - 69*d**2/2 + 188*d + 222.
-(d - 6)*(d + 1)*(d + 74)/2
Determine p so that 2*p**3/7 + 800*p**2/7 - 3224*p/7 + 3232/7 = 0.
-404, 2
What is x in -525*x**5 - 7430*x**4 - 19475*x**3 - 14070*x**2 - 1060*x + 440 = 0?
-11, -2, -1, -2/7, 2/15
What is i in -27*i**3 - 288*i**2 - 399*i + 2166 = 0?
-19/3, 2
Suppose -2*h**5/19 - 140*h**4/19 - 274*h**3/19 - 136*h**2/19 = 0. What is h?
-68, -1, 0
Factor -3*k**4 - 32832*k**3 - 89828352*k**2.
-3*k**2*(k + 5472)**2
Suppose 2*z**4/13 + 6*z**3/13 - 12*z**2/13 - 16*z/13 = 0. What is z?
-4, -1, 0, 2
Find q, given that 15*q**5 - 55*q**4 - 35*q**3 + 235*q**2 - 100*q - 60 = 0.
-2, -1/3, 1, 2, 3
Find q such that 7*q**3 - 100*q**2 - 77*q + 30 = 0.
-1, 2/7, 15
Find o such that 2*o**4 + 24*o**3 + 70*o**2 + 48*o = 0.
-8, -3, -1, 0
Solve -s**3/2 - 3*s**2/2 + s/2 + 3/2 = 0.
-3, -1, 1
Factor -l**3/2 + 15*l**2/4 + 26*l + 12.
-(l - 12)*(l + 4)*(2*l + 1)/4
Factor -3*q**4/2 - 9*q**3/2 + 42*q**2.
-3*q**2*(q - 4)*(q + 7)/2
Determine y, given that 25*y**4 + 327*y**3 + 1226*y**2 + 996*y + 72 = 0.
-6, -1, -2/25
Let -p**5/4 - 15*p**4/4 - 29*p**3/2 - 3*p**2 + 62*p + 72 = 0. Calculate p.
-9, -4, -2, 2
Determine y, given that 2*y**5/7 - 64*y**4/7 - 72*y**3/7 + 28*y**2 + 10*y - 132/7 = 0.
-2, -1, 1, 33
Find o such that -2*o**2 + 112*o + 232 = 0.
-2, 58
Factor -b**3 + 292*b**2 + 293*b.
-b*(b - 293)*(b + 1)
Let 6*h**4/5 + 267*h**3/5 - 30*h**2 - 681*h/5 - 54 = 0. Calculate h.
-45, -1, -1/2, 2
Suppose 5*h**3/3 - 130*h**2 + 385*h/3 = 0. Calculate h.
0, 1, 77
Let -720*c**5 - 840*c**4 + 1315*c**3 + 235*c**2 + 10*c = 0. Calculate c.
-2, -1/12, 0, 1
Let -2*a**5/11 + 4*a**4/11 + 4*a**3/11 - 8*a**2/11 - 2*a/11 + 4/11 = 0. What is a?
-1, 1, 2
Factor c**2/3 + 35*c - 222.
(c - 6)*(c + 111)/3
Find d, given that -392*d**5/3 - 2912*d**4/3 - 2358*d**3 - 2058*d**2 - 594*d - 54 = 0.
-3, -1, -3/14
Solve 4*m**3/5 - 52*m**2 - 16*m/5 + 208 = 0 for m.
-2, 2, 65
Factor q**2/8 + 33*q/4 + 1089/8.
(q + 33)**2/8
Factor 2*x**2 - 424*x + 422.
2*(x - 211)*(x - 1)
Let -4*h**5 + 1076*h**4 - 73960*h**3 + 215464*h**2 - 213332*h + 70756 = 0. Calculate h.
1, 133
Suppose -4*a**2 - 136*a = 0. Calculate a.
-34, 0
Factor r**2/5 + 14*r.
r*(r + 70)/5
Let -4*k**5 - 36*k**4 - 20*k**3 + 116*k**2 + 168*k + 64 = 0. What is k?
-8, -1, 2
Find c such that c**4 + 23*c**3 + 79*c**2 + 57*c = 0.
-19, -3, -1, 0
Factor 9*q**2/7 - 4929*q/7 + 3282/7.
3*(q - 547)*(3*q - 2)/7
Factor -16*p**3 - 28*p**2 + 8*p.
-4*p*(p + 2)*(4*p - 1)
Find c, given that -4*c**5 + 176*c**4 - 788*c**3 + 280*c**2 + 1248*c = 0.
-1, 0, 2, 4, 39
Find x such that 2*x**3/7 - 16*x**2/7 + 34*x/7 - 20/7 = 0.
1, 2, 5
Let -s**2/4 - 165*s/2 - 27225/4 = 0. Calculate s.
-165
Let -2*o**5/5 + 28*o**4 - 634*o**3 + 4176*o**2 + 10368*o + 27648/5 = 0. Calculate o.
-1, 24
Factor -3*m**2 - 738*m - 735.
-3*(m + 1)*(m + 245)
Factor 3*h**3/8 + 3*h**2 - 57*h/8 + 15/4.
3*(h - 1)**2*(h + 10)/8
Solve -n**4 - 38*n**3 + 120*n**2 - 122*n + 41 = 0 for n.
-41, 1
Factor v**2 + 188*v + 8836.
(v + 94)**2
Determine a so that 3*a**3/7 + 27*a**2/7 + 45*a/7 - 75/7 = 0.
-5, 1
Find u, given that -u**4/5 - 4*u**3/5 + 18*u**2/5 - 4*u + 7/5 = 0.
-7, 1
Find g such that 5*g**2 + 11380*g + 6475220 = 0.
-1138
Let 3*k**5 + 6*k**4 - 6*k**3 - 12*k**2 + 3*k + 6 = 0. What is k?
-2, -1, 1
Factor 4*f**5 - 12*f**4 - 12*f**3 + 28*f**2 + 24*f.
4*f*(f - 3)*(f - 2)*(f + 1)**2
Factor -b**4/2 - 3*b**3/2 + 5*b**2 + 12*b.
-b*(b - 3)*(b + 2)*(b + 4)/2
Determine f, given that -f**3 - 32*f**2 = 0.
-32, 0
Suppose 2*r**4 + 20*r**3 + 32*r**2 = 0. What is r?
-8, -2, 0
Let 2*k**5 - 8*k**4 - 30*k**3 + 116*k**2 - 80*k = 0. What is k?
-4, 0, 1, 2, 5
Solve -2*w**5/9 + 4*w**4/9 + 20*w**3/9 - 40*w**2/9 - 2*w + 4 = 0 for w.
-3, -1, 1, 2, 3
Factor 2*v**4 + 52*v**3 - 174*v**2 + 8*v + 232.
2*(v - 2)**2*(v + 1)*(v + 29)
Suppose u**3 - 15*u**2 - u + 15 = 0. What is u?
-1, 1, 15
Determine r, given that -r**4 - 187*r**3 - 9018*r**2 - 25760*r - 16928 = 0.
-92, -2, -1
Let -7*w**5/6 + w**4/3 + 77*w**3/3 + 62*w**2/3 - 121*w/2 + 15 = 0. Calculate w.
-3, 2/7, 1, 5
Determine m so that -m**2/6 - 61*m/3 - 3721/6 = 0.
-61
Suppose -3*y**3/4 - 21*y**2 - 33*y + 156 = 0. Calculate y.
-26, -4, 2
Suppose g**4 + 8*g**3 + 21*g**2 + 18*g = 0. What is g?
-3, -2, 0
Factor -s**3/6 + 17*s**2/2 - 225*s/2 + 625/6.
-(s - 25)**2*(s - 1)/6
Solve 615*w**4 + 595*w**3 - 20*w**2 = 0.
-1, 0, 4/123
What is y in 8*y**5 + 172*y**4 - 80*y**3 - 15460*y**2 - 34608*y + 21168 = 0?
-14, -3, 1/2, 9
Let -r**3/3 - 28*r**2/3 - 77*r/3 - 50/3 = 0. What is r?
-25, -2, -1
Find q such that q**3/11 - 453*q**2/11 + 3576*q/11 - 7120/11 = 0.
4, 445
Factor 3*h**4/7 - 69*h**3/7 + 60*h**2/7 + 132*h/7.
3*h*(h - 22)*(h - 2)*(h + 1)/7
Factor -3*t**4 - 198*t**3 - 195*t**2.
-3*t**2*(t + 1)*(t + 65)
What is s in 78*s**3 - 111*s**2 - 12*s + 45 = 0?
-15/26, 1
Determine i, given that 4*i**4 + 656*i**3 + 1944*i**2 + 1936*i + 644 = 0.
-161, -1
Find s such that -3*s**4/4 - 309*s**3/2 - 10710*s**2 - 256632*s - 471648 = 0.
-68, -2
Let -5*b**5 + 50*b**4 - 165*b**3 + 220*b**2 - 100*b = 0. What is b?
0, 1, 2, 5
Factor t**3/4 + 2*t**2 + 5*t/4 - 7/2.
(t - 1)*(t + 2)*(t + 7)/4
Factor -c*