8*n.
n*(n - 96)/2
Factor -s**2/5 - 28*s/5 - 36.
-(s + 10)*(s + 18)/5
What is m in 9*m**2/5 + 628*m/5 - 28 = 0?
-70, 2/9
Factor 4*i**5 - 16*i**4 - 40*i**3 + 112*i**2 - 60*i.
4*i*(i - 5)*(i - 1)**2*(i + 3)
Factor 4*w**4 - 36*w**3 + 60*w**2 - 28*w.
4*w*(w - 7)*(w - 1)**2
Factor -2*h**4/5 + 64*h**3/5 - 114*h**2 + 180*h.
-2*h*(h - 15)**2*(h - 2)/5
Factor y**5/6 - 29*y**4/3 + 19*y**3/2.
y**3*(y - 57)*(y - 1)/6
Factor 2*j**4/5 - 18*j**3 - 2*j**2/5 + 18*j.
2*j*(j - 45)*(j - 1)*(j + 1)/5
Factor -4*s**2 + 8288*s - 4293184.
-4*(s - 1036)**2
Find s such that -4*s**5 + 2*s**4 + 8*s**3 - 4*s**2 - 4*s + 2 = 0.
-1, 1/2, 1
Let -2*u**2/5 - 548*u - 187690 = 0. What is u?
-685
Suppose -162*w**4/11 - 15462*w**3/11 - 6848*w**2/11 - 760*w/11 = 0. Calculate w.
-95, -2/9, 0
Solve 2*k**2/5 - 8*k/5 - 2 = 0 for k.
-1, 5
Factor 3*i**2 - 24*i + 48.
3*(i - 4)**2
Solve -6*y**2/11 + 16*y/11 - 8/11 = 0.
2/3, 2
Suppose p**3/5 + 37*p**2/5 - 38*p/5 = 0. What is p?
-38, 0, 1
Factor 2*s**2/7 - 8*s/7 - 22.
2*(s - 11)*(s + 7)/7
Factor 4*j**5 + 104*j**4 - 3584*j**3 - 167936*j**2 - 2228224*j - 9961472.
4*(j - 38)*(j + 16)**4
Factor -4*f**4 - 28*f**3 - 20*f**2 + 28*f + 24.
-4*(f - 1)*(f + 1)**2*(f + 6)
Factor -3*l**2/8 - 3279*l/4.
-3*l*(l + 2186)/8
Factor 2*w**4/5 - 46*w**3/5 + 386*w**2/5 - 1386*w/5 + 1764/5.
2*(w - 7)**2*(w - 6)*(w - 3)/5
Factor -5*p**3 - 260*p**2 - 3105*p + 7290.
-5*(p - 2)*(p + 27)**2
Factor -k**4/3 + 322*k**3/3 - 1276*k**2/3 + 424*k.
-k*(k - 318)*(k - 2)**2/3
Determine t so that 4*t**2 - 48*t = 0.
0, 12
Determine s so that s**2/3 + 946*s/3 + 223729/3 = 0.
-473
Factor -2*a**2 - 370*a - 732.
-2*(a + 2)*(a + 183)
Suppose 81*m**4 - 5310*m**3 + 92173*m**2 - 168740*m + 81796 = 0. What is m?
1, 286/9
Factor m**2/7 + 23*m - 492/7.
(m - 3)*(m + 164)/7
What is h in -2*h**5/7 + 110*h**4/7 - 764*h**3/7 + 484*h**2/7 + 530*h + 2350/7 = 0?
-1, 5, 47
Solve 2*z**5 - 16*z**4 + 32*z**3 - 4*z**2 - 34*z + 20 = 0 for z.
-1, 1, 2, 5
Factor -3*i**3 + 216*i**2 - 4095*i + 7350.
-3*(i - 35)**2*(i - 2)
Find h, given that 5*h**2 - 6670*h + 2224445 = 0.
667
Factor 5*q**3/4 - 725*q**2/4 - 1105*q/2 - 370.
5*(q - 148)*(q + 1)*(q + 2)/4
Factor 3*y**3/7 - 192*y**2/7 + 1389*y/7 - 360.
3*(y - 56)*(y - 5)*(y - 3)/7
Determine g so that -3*g**2 + 18*g + 48 = 0.
-2, 8
Find x, given that -15*x**2 + 17*x - 2 = 0.
2/15, 1
Solve -63*o**3/4 - 32*o**2 - 67*o/4 - 1/2 = 0 for o.
-1, -2/63
Solve -63*j**5/4 - 4533*j**4/4 - 85857*j**3/4 - 155727*j**2/4 - 22260*j - 3675 = 0.
-35, -1, -2/3, -2/7
Factor 2*k**3/7 - 10*k**2/7 - 12*k/7.
2*k*(k - 6)*(k + 1)/7
Suppose -3*s**5/5 - 18*s**4/5 + 3*s**3/5 + 18*s**2/5 = 0. What is s?
-6, -1, 0, 1
Solve 5*x**5/2 - 5*x**4/2 - 15*x**3/2 + 5*x**2/2 + 5*x = 0.
-1, 0, 1, 2
Determine q so that 5*q**5 - 35*q**4 + 55*q**3 - 25*q**2 = 0.
0, 1, 5
What is l in l**5/10 + 18*l**4/5 + 137*l**3/5 - 564*l**2/5 - 703*l/2 + 2166/5 = 0?
-19, -3, 1, 4
Determine u, given that -u**4 + 34*u**3 - 31*u**2 - 66*u = 0.
-1, 0, 2, 33
Suppose -3*b**3/8 - 77*b**2/8 - 481*b/8 + 169/8 = 0. What is b?
-13, 1/3
Determine x so that 18*x**3 - 16*x**2 - 22*x + 20 = 0.
-10/9, 1
Factor f**5/2 - 3*f**4 - 4*f**3 + 3*f**2 + 7*f/2.
f*(f - 7)*(f - 1)*(f + 1)**2/2
Factor -2*t**3/5 - 68*t**2/5 - 578*t/5.
-2*t*(t + 17)**2/5
Factor 866*h**3/13 - 1736*h**2/13 + 874*h/13 - 4/13.
2*(h - 1)**2*(433*h - 2)/13
Solve -4*q**2/3 + 12*q - 24 = 0 for q.
3, 6
Let -50*l**4 - 70*l**3 - 4*l**2 + 16*l = 0. What is l?
-1, -4/5, 0, 2/5
Find r, given that -2*r**5 - 1531*r**4 - 292612*r**3 + 146689*r**2 = 0.
-383, 0, 1/2
Factor 4*k**3 + 40*k**2.
4*k**2*(k + 10)
Factor 3*d**5 - 1635*d**4 + 3261*d**3 - 1629*d**2.
3*d**2*(d - 543)*(d - 1)**2
Determine o so that 3*o**3 - 15*o**2 - 18*o = 0.
-1, 0, 6
Factor 2*s**4/7 + 8*s**3/7 + 12*s**2/7 + 8*s/7 + 2/7.
2*(s + 1)**4/7
Find h such that -24*h**4 - 976*h**3/9 + 202*h**2 - 614*h/9 - 4/3 = 0.
-6, -1/54, 1/2, 1
Factor 2*n**5/3 - 10*n**4/3 + 4*n**3 + 4*n**2/3 - 14*n/3 + 2.
2*(n - 3)*(n - 1)**3*(n + 1)/3
Suppose 4*v**3 - 8*v**2 - 28*v - 16 = 0. Calculate v.
-1, 4
Find i such that 3*i**2 + 1374*i + 4095 = 0.
-455, -3
Factor -p**3/8 + 141*p**2/8 - 630*p + 1225/2.
-(p - 70)**2*(p - 1)/8
Factor -l**2 + 47*l + 260.
-(l - 52)*(l + 5)
Factor -2*g**4/19 - 30*g**3/19 - 78*g**2/19 - 74*g/19 - 24/19.
-2*(g + 1)**3*(g + 12)/19
Factor 4*u**3 - 1268*u**2 - 7716*u - 11628.
4*(u - 323)*(u + 3)**2
Factor -2*w**2/7 + 46*w/7 - 180/7.
-2*(w - 18)*(w - 5)/7
Suppose j**2/2 - 61*j/2 - 165 = 0. What is j?
-5, 66
Factor t**2/2 + 601*t/2 + 300.
(t + 1)*(t + 600)/2
Factor -k**4/5 - 5*k**3 - 23*k**2/5 + 5*k + 24/5.
-(k - 1)*(k + 1)**2*(k + 24)/5
Find i such that 4*i**3 + 27828*i**2 + 64533132*i + 49884111036 = 0.
-2319
What is i in -2*i**5/9 + 40*i**3/9 + 20*i**2/3 - 38*i/9 - 20/3 = 0?
-3, -2, -1, 1, 5
Factor o**4/6 - 11*o**3/6 + 11*o**2/2 - 37*o/6 + 7/3.
(o - 7)*(o - 2)*(o - 1)**2/6
Factor -u**2/4 - 21*u/4 + 81/2.
-(u - 6)*(u + 27)/4
Suppose q**2 - 1815*q = 0. Calculate q.
0, 1815
Factor 2*g**3 + 290*g**2 - 3768*g.
2*g*(g - 12)*(g + 157)
What is l in -5*l**2 + 625*l + 1270 = 0?
-2, 127
Factor 4*g**5 + 20*g**4 + 32*g**3 + 16*g**2.
4*g**2*(g + 1)*(g + 2)**2
Find z, given that 5*z**3/4 - 75*z**2/4 - 565*z/2 - 750 = 0.
-6, -4, 25
Factor -2*h**3/13 - 128*h**2/13 - 2048*h/13.
-2*h*(h + 32)**2/13
Solve y**5/6 - y**4/2 - 4*y**3/3 + 2*y**2 + 8*y/3 = 0.
-2, -1, 0, 2, 4
Factor -5*r**2 + 130*r - 845.
-5*(r - 13)**2
Factor 6*u**2/7 + 72*u + 1512.
6*(u + 42)**2/7
Determine k so that -4*k**5 - 188*k**4 - 524*k**3 + 188*k**2 + 528*k = 0.
-44, -3, -1, 0, 1
Solve 3*u**5 + 1236*u**4 + 168915*u**3 + 7542666*u**2 - 15597036*u + 7884216 = 0.
-138, 1
Factor x**4/5 + 9*x**3/5 - 62*x**2/5 + 108*x/5 - 56/5.
(x - 2)**2*(x - 1)*(x + 14)/5
Factor 15*x**3 + 10*x**2 - 95*x + 30.
5*(x - 2)*(x + 3)*(3*x - 1)
Suppose -3*y**3 + 51*y**2 + 240*y + 252 = 0. What is y?
-2, 21
Factor -5*c**2 - 2020*c - 204020.
-5*(c + 202)**2
Solve -2*u**3/5 - 2*u**2 + 114*u/5 - 198/5 = 0 for u.
-11, 3
Determine z so that -3*z**2 - 7308*z - 4450572 = 0.
-1218
Suppose 3*m**3 - 57*m**2 - 291*m + 345 = 0. What is m?
-5, 1, 23
Factor 4*n**4/7 - 4*n**3/7 - 48*n**2/7.
4*n**2*(n - 4)*(n + 3)/7
Suppose u**2/6 + 25*u/3 + 49/6 = 0. Calculate u.
-49, -1
Determine c so that 8*c**5/21 + 22*c**4/21 - 26*c**3/7 + 58*c**2/21 - 10*c/21 = 0.
-5, 0, 1/4, 1
Find w, given that -2*w**3 + 380*w**2 - 1126*w + 748 = 0.
1, 2, 187
Suppose -15*j**5 - 110*j**4 - 85*j**3 + 410*j**2 - 200*j = 0. Calculate j.
-5, -4, 0, 2/3, 1
Find o such that 12*o**5 - 423*o**4 + 3108*o**3 + 10782*o**2 + 10488*o + 3249 = 0.
-1, -3/4, 19
Factor 4*r**3 + 196*r**2 + 1052*r + 860.
4*(r + 1)*(r + 5)*(r + 43)
Find t such that -t**4/3 + 50*t**3/3 - 832*t**2/3 + 1536*t = 0.
0, 16, 18
What is y in 12*y**4/13 + 394*y**3/13 + 316*y**2/13 - 10*y - 64/13 = 0?
-32, -1, -1/3, 1/2
Factor -2*h**4/3 + 10*h**3 - 28*h**2/3.
-2*h**2*(h - 14)*(h - 1)/3
Factor 4*m**5/3 + 4*m**4 + 8*m**3/3 - 8*m**2/3 - 4*m - 4/3.
4*(m - 1)*(m + 1)**4/3
Solve z**2/2 + 535*z/2 - 268 = 0 for z.
-536, 1
Let -22*a**2/9 + 20*a/3 - 32/9 = 0. What is a?
8/11, 2
Factor -4*m**5 - 32*m**4 + 76*m**3 - 40*m**2.
-4*m**2*(m - 1)**2*(m + 10)
Factor -c**2/2 - 637*c/2 + 639.
-(c - 2)*(c + 639)/2
What is i in -22*i**3/13 - 84*i**2/13 - 50*i/13 + 12/13 = 0?
-3, -1, 2/11
Find k such that 152*k**3 - 596*k**2 + 408*k + 36 = 0.
-3/38, 1, 3
What is v in 5*v**5 - 35*v**4 + 25*v**3 + 35*v**2 - 30*v = 0?
-1, 0, 1, 6
Factor 32768*i**2/15 + 11776*i/15 + 1058/15.
2*(128*i + 23)**2/15
Suppose -4732*x**3 + 3744*x**2 + 84*x - 392 = 0. What is x?
-2/7, 7/13
Factor 2*x**3/7 - 2388*x**2/7 + 950424*x/7 - 126089584/7.
2*(x - 398)**3/7
Suppose -2*x**4 + 3*x**3 + 20*x**2 - 27*x - 18 = 0. Calculate x.
-3, -1/2, 2, 3
Factor 3*d**3 + 192*d**2 + 183*d - 378.
3*(d - 1)*(d + 2)*(d + 63)
Factor g**5/11 - 6*g**4/11 - 280*g**3/11.
g**3*(g - 20)*(g + 14)/11
Suppose -86694480*b**2 + 41640*b - 5 = 0. Calculate b.
1/4164
Let -4*a**3 + 56*a**2 + 68*a - 120 = 0. Calculate a.
-2, 1, 15
Suppose 5*n**4 + 30*n**3 + 60*n**2 + 50*n + 15 = 0. What is n?
-3, -1
Factor 7*n**3/8 - 299*n**2/8 + 26*n + 21/2.
(n - 42)*(n - 1)*(7*n + 2)/8
Let -d**2/4 - 15*d - 225 = 0. Calculate d.
-30
Suppose 6*j**5/7 + 44*j**4 + 4124*j**3/7 + 3712*j**2/7 - 15650*j/7 + 7500/7 = 0. Calculate j.
-25, -3, 2/3, 1
Suppose c**5 + 130*c**4 + 256*c**3 - 2*c**2 - 257*c -