2*(w + 4)*(w + 10)
Let 3*m**2 - 339*m + 3900 = 0. Calculate m.
13, 100
Determine g so that -2*g**5/5 + 82*g**4/5 - 306*g**3/5 + 374*g**2/5 - 148*g/5 = 0.
0, 1, 2, 37
Factor -2*k**5/21 - 2*k**4/21 + 4*k**3/21 + 4*k**2/21 - 2*k/21 - 2/21.
-2*(k - 1)**2*(k + 1)**3/21
Factor -2*m**2 + 346*m - 2952.
-2*(m - 164)*(m - 9)
Determine f so that -f**3/5 - 2*f**2 = 0.
-10, 0
Factor -5*b**2/2 + 11605*b - 26935205/2.
-5*(b - 2321)**2/2
Factor 4*c**2/7 - 116*c/7 + 312/7.
4*(c - 26)*(c - 3)/7
Determine x, given that -3*x**3 + 42*x**2 - 99*x = 0.
0, 3, 11
Suppose -2*g**2 - 140*g - 2450 = 0. Calculate g.
-35
Factor 4*k**5 - 428*k**4 + 11232*k**3 + 11664*k**2.
4*k**2*(k - 54)**2*(k + 1)
Let -2*z**4/17 - 4*z**3/17 + 2*z**2/17 + 4*z/17 = 0. Calculate z.
-2, -1, 0, 1
Find b, given that 15*b**3/2 - 57*b**2/2 - 741*b - 2028 = 0.
-26/5, -4, 13
Factor 4*t**2 + 272*t.
4*t*(t + 68)
Find d, given that -6*d**4/5 - 88*d**3/5 - 776*d**2/15 + 1408*d/15 - 512/15 = 0.
-8, 2/3
Factor o**3/3 + 7*o**2/3 + 14*o/3 + 8/3.
(o + 1)*(o + 2)*(o + 4)/3
Determine g so that -g**5 + 9*g**4/5 + 27*g**3/5 - 5*g**2 - 6*g/5 = 0.
-2, -1/5, 0, 1, 3
What is t in -2*t**3/3 - 44*t**2 + 384*t - 2368/3 = 0?
-74, 4
Factor t**2 + 15*t - 286.
(t - 11)*(t + 26)
Factor -3*k**2/5 - 51*k - 252/5.
-3*(k + 1)*(k + 84)/5
Find i, given that -2*i**3 - 18*i**2 - 16*i = 0.
-8, -1, 0
Solve -2*d**3/19 + 78*d**2/19 - 288*d/19 + 280/19 = 0 for d.
2, 35
Factor -u**3 + 2687*u**2 - 5371*u + 2685.
-(u - 2685)*(u - 1)**2
Find o, given that 4*o**5 + 436*o**4 + 400*o**3 - 3504*o**2 - 5184*o = 0.
-108, -2, 0, 3
Factor 2*g**2/11 + 228*g/11 + 226/11.
2*(g + 1)*(g + 113)/11
Factor 2*b**2/21 - 10*b/7 + 4/3.
2*(b - 14)*(b - 1)/21
Find i, given that 5*i**2 + 30*i - 80 = 0.
-8, 2
Solve -a**2/5 - 159*a/5 = 0.
-159, 0
Factor 3*s**4/7 + 18*s**3/7 - 3*s**2.
3*s**2*(s - 1)*(s + 7)/7
Factor -u**2 - 188*u + 189.
-(u - 1)*(u + 189)
Factor v**4 - 2*v**3 - 84*v**2 + 72*v + 1728.
(v - 8)*(v - 6)*(v + 6)**2
Factor -24*u**4 + 852*u**3 - 16731*u**2/2 + 14271*u - 13467/2.
-3*(u - 1)**2*(4*u - 67)**2/2
Solve -2*j**2 - 22*j + 24 = 0.
-12, 1
Determine r, given that 39*r**4 + 114*r**3 - 360*r**2 + 222*r - 15 = 0.
-5, 1/13, 1
Find r, given that -r**5 - 36*r**4 - 148*r**3 + 222*r**2 + 149*r - 186 = 0.
-31, -6, -1, 1
What is u in 2*u**4 - 18*u**3 + 46*u**2 - 6*u - 72 = 0?
-1, 3, 4
Factor 2*z**2 - 224*z + 654.
2*(z - 109)*(z - 3)
Find u such that -4*u**2 - 480*u + 3024 = 0.
-126, 6
Solve -3*z**5 - 48*z**4 - 87*z**3 - 42*z**2 = 0.
-14, -1, 0
Factor 4*r**4 + 248*r**3 + 4080*r**2 + 7200*r.
4*r*(r + 2)*(r + 30)**2
Factor y**3/4 - 35*y**2/2 + 323*y - 578.
(y - 34)**2*(y - 2)/4
What is c in -2*c**2/5 + 206*c/5 + 208/5 = 0?
-1, 104
What is z in -4*z**4 + 36*z**3 + 12*z**2 - 116*z + 72 = 0?
-2, 1, 9
Factor 4*l**3 + 76*l**2 + 344*l + 416.
4*(l + 2)*(l + 4)*(l + 13)
Factor 3*z**4 + 27*z**3 - 9*z**2 - 75*z + 54.
3*(z - 1)**2*(z + 2)*(z + 9)
Factor -w**2 + 11*w + 12.
-(w - 12)*(w + 1)
Factor -v**2 + 15*v - 36.
-(v - 12)*(v - 3)
Factor 6*g**2/7 - 5*g/7.
g*(6*g - 5)/7
Factor 2*b**3 + 14*b**2 + 28*b + 16.
2*(b + 1)*(b + 2)*(b + 4)
Find m, given that 21*m**2 - 237*m + 66 = 0.
2/7, 11
Find m, given that -3*m**5/5 - 24*m**4/5 + 3*m**3 + 24*m**2 - 12*m/5 - 96/5 = 0.
-8, -2, -1, 1, 2
Solve -2*r**5/21 + 122*r**4/21 - 118*r**3/7 + 50*r**2/3 - 116*r/21 = 0.
0, 1, 58
Determine k, given that -5*k**5 + 88*k**4 + 2056*k**3 + 7648*k**2 + 9136*k + 2560 = 0.
-10, -2, -2/5, 32
Factor 5*g**5 - 20*g**4 - 1560*g**3 - 4510*g**2 - 4445*g - 1470.
5*(g - 21)*(g + 1)**3*(g + 14)
Factor 3*x**3 - 3486*x**2 - 6981*x - 3492.
3*(x - 1164)*(x + 1)**2
Factor 4*j**4/7 + 72*j**3/7 + 132*j**2/7 + 64*j/7.
4*j*(j + 1)**2*(j + 16)/7
Factor 2*l**4/7 - 4*l**3/7 - 30*l**2/7 - 8*l/7 + 40/7.
2*(l - 5)*(l - 1)*(l + 2)**2/7
Find z such that 2*z**5 - 30*z**4 - 68*z**3 = 0.
-2, 0, 17
Let -2*z**3/9 + 14*z**2/9 - 4*z/3 = 0. What is z?
0, 1, 6
Solve -p**2/7 - 2*p/7 + 3/7 = 0 for p.
-3, 1
Factor -2*r**2/9 + 214*r/9 - 212/9.
-2*(r - 106)*(r - 1)/9
Let m**4/4 - 101*m**3/2 + 10401*m**2/4 - 5050*m + 2500 = 0. Calculate m.
1, 100
Factor -k**5 + 7*k**4 - 6*k**3.
-k**3*(k - 6)*(k - 1)
Suppose -3*d**4/2 - 15*d**3/2 + 99*d**2/2 - 81*d/2 = 0. Calculate d.
-9, 0, 1, 3
Let j**2/3 + 53*j/3 - 210 = 0. Calculate j.
-63, 10
Factor -2*t**2/3 + 76*t - 448/3.
-2*(t - 112)*(t - 2)/3
Solve -15*z**5 + 20*z**4 + 25*z**3 - 10*z**2 = 0 for z.
-1, 0, 1/3, 2
What is k in -110*k**4/7 + 526*k**3/7 - 312*k**2/7 - 136*k/7 + 32/7 = 0?
-2/5, 2/11, 1, 4
Suppose -2*y**2 - 1148*y = 0. What is y?
-574, 0
Suppose 5*g**3/2 - 14*g**2 - 6*g = 0. Calculate g.
-2/5, 0, 6
Factor 3*k**4/7 + 6*k**3/7 - 36*k**2/7 - 54*k/7 + 81/7.
3*(k - 3)*(k - 1)*(k + 3)**2/7
Factor 6*f**3/7 + 16*f**2 + 502*f/7 - 180/7.
2*(f + 9)*(f + 10)*(3*f - 1)/7
Factor -g**2/5 - 14*g + 144/5.
-(g - 2)*(g + 72)/5
Factor 26*v**2 - 226*v/3 - 8.
2*(v - 3)*(39*v + 4)/3
Suppose -5*w**5 + 255*w**4 - 1170*w**3 + 920*w**2 = 0. What is w?
0, 1, 4, 46
Factor -u**4/7 - 60*u**3/7 - 278*u**2/7 - 156*u/7 + 495/7.
-(u - 1)*(u + 3)**2*(u + 55)/7
Suppose 980*g**5 + 15904*g**4 + 16864*g**3/5 - 17024*g**2/5 - 1984*g/5 + 1024/5 = 0. What is g?
-16, -2/5, 2/7
Solve 3*q**3 - 477*q**2 + 25281*q - 446631 = 0 for q.
53
Determine n so that -2*n**4/3 + 2*n**3/3 + 4*n**2/3 = 0.
-1, 0, 2
Determine k, given that 5*k**2/6 + 5*k/2 - 10/3 = 0.
-4, 1
Determine n, given that 9*n**4 + 92*n**3 - 313*n**2 + 160*n + 52 = 0.
-13, -2/9, 1, 2
Solve 16*r**3 + 28*r**2 - 31*r/4 + 1/2 = 0 for r.
-2, 1/8
Factor -5*p**4 + 10*p**2 - 5.
-5*(p - 1)**2*(p + 1)**2
Let z**5/3 - 8*z**4/3 + 23*z**3/3 - 28*z**2/3 + 4*z = 0. Calculate z.
0, 1, 2, 3
Determine x so that x**2/2 + 143*x/2 + 141 = 0.
-141, -2
Factor 4*v**4/9 - 68*v**3/9 + 124*v**2/9 - 20*v/3.
4*v*(v - 15)*(v - 1)**2/9
Factor 2*f**3/5 + 292*f**2/5 + 1698*f/5 + 504.
2*(f + 3)**2*(f + 140)/5
Factor -4*l**3 - 6376*l**2 - 2534448*l + 5094432.
-4*(l - 2)*(l + 798)**2
Factor -5*n**2 + 485*n + 15250.
-5*(n - 122)*(n + 25)
Find b such that b**4 + 2*b**3 + b**2 = 0.
-1, 0
Factor 2*m**3/11 - 18*m**2/11 + 16*m/11.
2*m*(m - 8)*(m - 1)/11
Determine m, given that -8*m**5/9 - 322*m**4/9 - 3856*m**3/9 - 12464*m**2/9 - 1472*m - 288 = 0.
-18, -2, -1/4
Factor -c**2 + 434*c + 872.
-(c - 436)*(c + 2)
Factor f**3/5 + 618*f**2/5 + 1847*f/5 + 246.
(f + 1)*(f + 2)*(f + 615)/5
Solve 2*o**3/9 - 20*o**2/3 - 128*o/9 = 0 for o.
-2, 0, 32
Factor 3*x**4 - 15*x**3 + 24*x**2 - 12*x.
3*x*(x - 2)**2*(x - 1)
Factor -2*d**2/3 + 316*d/3 - 12482/3.
-2*(d - 79)**2/3
Find j such that -8*j**2/3 + 118*j/3 + 10 = 0.
-1/4, 15
Let 5*d**3 - 35*d**2 - 240*d + 900 = 0. Calculate d.
-6, 3, 10
Factor -4*g**4 - 48*g**3 - 44*g**2.
-4*g**2*(g + 1)*(g + 11)
Factor -20*x**2 - 588*x - 232.
-4*(x + 29)*(5*x + 2)
Factor -w**2 + 504*w - 63504.
-(w - 252)**2
Suppose -3*j**3 + 14*j**2 - 8*j = 0. Calculate j.
0, 2/3, 4
Factor 4*h**3/3 + 9104*h**2/3 + 5171060*h/3 - 10378568/3.
4*(h - 2)*(h + 1139)**2/3
Factor -2*j**3/7 + 82*j**2/7 - 76*j/7 - 160/7.
-2*(j - 40)*(j - 2)*(j + 1)/7
Suppose 3*w**4/4 + 9*w**3/2 - 189*w**2/4 - 30*w + 396 = 0. Calculate w.
-11, -3, 4
What is q in -5*q**2 - 90*q - 160 = 0?
-16, -2
Factor -3*r**3/8 + 9*r**2/2 - 135*r/8 + 81/4.
-3*(r - 6)*(r - 3)**2/8
Factor -d**3 - 3*d**2 - 2*d.
-d*(d + 1)*(d + 2)
Determine f so that 2*f**4/7 + 3000*f**3/7 - 3002*f**2/7 = 0.
-1501, 0, 1
Determine o, given that -2*o**4/7 + 36*o**3/7 - 30*o**2/7 - 68*o/7 = 0.
-1, 0, 2, 17
Find d, given that -d**2/4 - 7*d - 49 = 0.
-14
Factor 5*k**2 - 120*k + 315.
5*(k - 21)*(k - 3)
Determine g so that -2*g**4/7 + 86*g**2/7 - 12*g = 0.
-7, 0, 1, 6
Factor -t**2 - 4780*t - 5712100.
-(t + 2390)**2
Factor -7605*n**2/2 - 780*n - 40.
-5*(39*n + 4)**2/2
Factor l**3 + 717*l**2 + 128880*l + 128164.
(l + 1)*(l + 358)**2
Factor 2*m**3/7 - 236*m**2/7 + 960*m + 14400/7.
2*(m - 60)**2*(m + 2)/7
Suppose 21*t**3/8 + 123*t**2/4 - 9*t = 0. What is t?
-12, 0, 2/7
Find b, given that -21*b**5 - 12*b**4 + 9*b**3 = 0.
-1, 0, 3/7
Determine f so that -f**4 + 4*f**3 - 5*f**2 + 2*f = 0.
0, 1, 2
Suppose -6*c**4 + 172*c**3 - 1288*c**2 + 784*c = 0. What is c?
0, 2/3, 14
Factor 3*h**4 - 39*h**3 + 36*h**2.
3*h**2*(h - 12)*(h - 1)
What is g in 2*g**4 - 16*g**3 + 22*g**2 + 16*g - 24 = 0?
-1, 1, 2, 6
Solve 3*w**3 + 30*w**2 - 111*w + 78 = 0.
-13, 1, 2
Let 2*v**4 - 436*v**3 + 29568*v**2 - 450604*v -