5 - 221*r**4 - 289*r**3 - 171*r**2 - 44*r - 4 = 0. Calculate r.
-1, -2/7, -2/9
Suppose -2*x**3/9 - 9320*x**2/9 - 10857800*x/9 = 0. What is x?
-2330, 0
Factor 2*k**3/11 + 20*k**2/11 + 24*k/11 - 144/11.
2*(k - 2)*(k + 6)**2/11
Determine r, given that -r**3 - 22*r**2 - 37*r + 60 = 0.
-20, -3, 1
Factor -4*d**5 + 44*d**4 - 136*d**3 - 32*d**2 + 640*d - 512.
-4*(d - 4)**3*(d - 1)*(d + 2)
Solve -2*k**3 - 770*k**2 - 76734*k - 500094 = 0 for k.
-189, -7
Factor -t**4/6 - 5*t**3/3 - 23*t**2/6 - 7*t/3.
-t*(t + 1)*(t + 2)*(t + 7)/6
Suppose 5*q**2 - 65*q = 0. Calculate q.
0, 13
Suppose -3*c**2/4 + 69*c/4 = 0. What is c?
0, 23
Find k such that -4*k**5 + 72*k**4 + 4*k**3 - 72*k**2 = 0.
-1, 0, 1, 18
Factor -o**4 + 167*o**3 + 3*o**2 - 499*o - 334.
-(o - 167)*(o - 2)*(o + 1)**2
Factor -5*s**3 - 2080*s**2 + 5*s + 2080.
-5*(s - 1)*(s + 1)*(s + 416)
What is j in 8*j**2/5 - 1868*j/5 - 936/5 = 0?
-1/2, 234
What is d in -d**5/4 - 31*d**4/4 + 5*d**3/4 + 155*d**2/4 - d - 31 = 0?
-31, -2, -1, 1, 2
Factor 55*f**4 + 335*f**3 + 690*f**2 + 500*f + 40.
5*(f + 2)**3*(11*f + 1)
Factor 3*t**3 + 1539*t**2 + 263169*t + 15000633.
3*(t + 171)**3
What is c in 27*c**2 + 45*c + 75/4 = 0?
-5/6
Suppose t**2/5 - t/5 - 6 = 0. Calculate t.
-5, 6
What is x in -x**3/6 - 2*x**2/3 - 2*x/3 = 0?
-2, 0
Determine t so that t**4 - 18*t**3 - 20*t**2 + 18*t + 19 = 0.
-1, 1, 19
Determine y, given that -20*y**5 - 15*y**4 + 45*y**3 - 10*y**2 = 0.
-2, 0, 1/4, 1
Factor -3*n**4/5 + 7224*n**3/5 - 6523272*n**2/5 + 2618006496*n/5 - 394009977648/5.
-3*(n - 602)**4/5
Find z such that -7*z**5 + 179*z**4/2 + 55*z**3/2 - 205*z**2/2 - 41*z/2 + 13 = 0.
-1, -1/2, 2/7, 1, 13
Let 2*x**2/3 - 860*x/3 + 92450/3 = 0. What is x?
215
Determine q, given that q**3 - 1759*q**2 + 772640*q + 774400 = 0.
-1, 880
Determine n so that -3*n**5 + 18*n**4 - 27*n**3 + 12*n**2 = 0.
0, 1, 4
Factor 64*g**4 + 51440*g**3 + 38556*g**2 + 9637*g + 803.
(g + 803)*(4*g + 1)**3
Let -3*n**2/4 - 651*n/4 + 663 = 0. What is n?
-221, 4
Determine u so that -4*u**2/5 + 16*u - 204/5 = 0.
3, 17
Suppose 18*r**3 + 454*r**2 + 1612*r + 336 = 0. Calculate r.
-21, -4, -2/9
What is y in 2*y**3 + 31*y**2 - 16*y = 0?
-16, 0, 1/2
Find o, given that 12*o**2/5 - 71049*o/5 - 17763/5 = 0.
-1/4, 5921
What is o in 7*o**3/6 - 20*o**2 + 127*o/2 - 26/3 = 0?
1/7, 4, 13
Determine l, given that 2*l**3 - 408*l**2 + 20808*l = 0.
0, 102
Factor -3*i**2/2 + 18*i + 39/2.
-3*(i - 13)*(i + 1)/2
Determine s, given that -3*s**5 - 36*s**4 - 87*s**3 - 54*s**2 = 0.
-9, -2, -1, 0
What is q in 10*q**2/3 - 135*q/2 + 50/3 = 0?
1/4, 20
Find m such that m**2/3 - 136*m/3 = 0.
0, 136
Factor 2*a**3 + 138*a**2 - 284*a.
2*a*(a - 2)*(a + 71)
Suppose p**3/3 + 59*p**2/3 - 80*p/3 - 400 = 0. Calculate p.
-60, -4, 5
Factor 4*s**3 - 46*s**2 + 62*s - 20.
2*(s - 10)*(s - 1)*(2*s - 1)
Factor -5*j**4 + 185*j**3 + 1035*j**2 + 675*j - 1890.
-5*(j - 42)*(j - 1)*(j + 3)**2
Find s such that 2*s**3/11 + 2*s**2/11 - 4*s - 80/11 = 0.
-4, -2, 5
Factor -2*q**3 - 80*q**2 - 896*q - 3072.
-2*(q + 8)**2*(q + 24)
What is i in 4*i**5/7 + 2*i**4/7 - 22*i**3/7 + 22*i**2/7 - 6*i/7 = 0?
-3, 0, 1/2, 1
Factor 300*v**2 + 20*v - 1.
(10*v + 1)*(30*v - 1)
Factor -26*d**3 + 40*d**2 + 24*d.
-2*d*(d - 2)*(13*d + 6)
Find u such that -8*u**4 + 4*u**3 + 36*u**2 - 16*u - 16 = 0.
-2, -1/2, 1, 2
Find o, given that -4*o**3 + 12*o**2 + 400*o + 384 = 0.
-8, -1, 12
Solve -4*p**2 - 64*p - 60 = 0 for p.
-15, -1
Solve 6*u**2/7 - 126*u = 0.
0, 147
Factor -3*r**5/4 - 9*r**4 - 69*r**3/2 - 45*r**2 - 75*r/4.
-3*r*(r + 1)**2*(r + 5)**2/4
Find g such that -g**3/2 - 18*g**2 - 162*g = 0.
-18, 0
Let -1352*z**4 - 2600*z**3 + 206*z**2 - 4*z = 0. What is z?
-2, 0, 1/26
Factor 51*x**2 + 4089*x + 720.
3*(x + 80)*(17*x + 3)
Factor 2*y**4/11 - 28*y**3 + 15912*y**2/11 - 280908*y/11 + 265302/11.
2*(y - 51)**3*(y - 1)/11
Factor -2*o**3 + 6*o**2 + 32*o + 24.
-2*(o - 6)*(o + 1)*(o + 2)
Factor u**4/4 - 1781*u**3/2 + 2670*u**2 - 5339*u/2 + 3559/4.
(u - 3559)*(u - 1)**3/4
Factor -3*l**2/7 - 339*l/7 - 318.
-3*(l + 7)*(l + 106)/7
Factor 2*d**3/7 + 6*d**2/7 - 36*d/7 - 80/7.
2*(d - 4)*(d + 2)*(d + 5)/7
Let -4*n**4 + 2032*n**3 + 4084*n**2 - 2032*n - 4080 = 0. What is n?
-2, -1, 1, 510
Solve b**4/6 - 29*b**3/3 - b**2/6 + 29*b/3 = 0 for b.
-1, 0, 1, 58
Factor r**2/4 + 67*r/2 + 4489/4.
(r + 67)**2/4
Suppose 5*z**5/6 - 25*z**4/6 - 1765*z**3/6 - 7915*z**2/6 + 10600*z/3 - 5750/3 = 0. Calculate z.
-10, 1, 23
Solve 6*x**4/19 + 88*x**3/19 + 324*x**2/19 + 8*x - 90/19 = 0 for x.
-9, -5, -1, 1/3
Find m such that 252*m**4 + 3264*m**3 - 3680*m**2 + 256*m + 448 = 0.
-14, -2/7, 2/3
Factor -2*x**3 - 124*x**2 - 1098*x + 1224.
-2*(x - 1)*(x + 12)*(x + 51)
Find i such that 2*i**2 - 590*i - 1788 = 0.
-3, 298
Determine o, given that -o**2/3 + 20*o - 224/3 = 0.
4, 56
Factor -n**3 - 14*n**2.
-n**2*(n + 14)
Factor -u**3/7 - 310*u**2/7.
-u**2*(u + 310)/7
Determine g, given that 5*g**3 + 22*g**2 + 28*g + 8 = 0.
-2, -2/5
Determine c so that -2*c**5/13 - 8*c**4/13 - 12*c**3/13 - 8*c**2/13 - 2*c/13 = 0.
-1, 0
Determine r, given that -2*r**2/11 - 106*r/11 = 0.
-53, 0
What is i in -2*i**2/3 - 74*i/3 + 76/3 = 0?
-38, 1
Suppose v**2/3 + 21*v + 330 = 0. What is v?
-33, -30
Find c, given that 20*c**5 - 135*c**4 - 95*c**3 + 365*c**2 + 375*c + 70 = 0.
-1, -1/4, 2, 7
Factor k**3/3 + 9*k**2 + 44*k - 380/3.
(k - 2)*(k + 10)*(k + 19)/3
Suppose 10*h**2/3 - 2*h - 4/3 = 0. Calculate h.
-2/5, 1
Factor -2*l**2/7 - 74*l/7.
-2*l*(l + 37)/7
Find t such that t**5/6 + t**4/3 - t**3/2 - 2*t**2/3 + 2*t/3 = 0.
-2, 0, 1
Determine b so that 3*b**2 - 18*b - 21 = 0.
-1, 7
Factor f**3/3 + 46*f**2/3 + 572*f/3 + 968/3.
(f + 2)*(f + 22)**2/3
Let -430*g**5 + 635*g**4 + 875*g**3 - 625*g**2 - 445*g - 10 = 0. Calculate g.
-1, -1/2, -1/43, 1, 2
Determine l, given that -l**2 + 8*l - 12 = 0.
2, 6
Find j such that j**5 - 26*j**4 - 28*j**3 + 26*j**2 + 27*j = 0.
-1, 0, 1, 27
Determine x, given that 2*x**4/19 - 330*x**3/19 - 24*x**2/19 + 3928*x/19 + 5280/19 = 0.
-2, 4, 165
What is f in 338*f**3/17 + 624*f**2/17 - 6*f + 4/17 = 0?
-2, 1/13
Factor -2*m**2/5 + 16*m/5.
-2*m*(m - 8)/5
Determine k so that 3*k**3/2 + 21*k**2/2 + 12*k - 24 = 0.
-4, 1
Factor -2*q**3 + 948*q**2 + 1902*q + 952.
-2*(q - 476)*(q + 1)**2
Let l**4 - 374*l**3 - 3420*l**2 - 10314*l - 10341 = 0. Calculate l.
-3, 383
Solve 2*a**5/5 + 18*a**4/5 + 44*a**3/5 - 64*a/5 = 0 for a.
-4, -2, 0, 1
Find m, given that m**4/2 + 7*m**3/2 - 3*m**2/2 - 23*m/2 - 7 = 0.
-7, -1, 2
Factor -m**3 + 6*m**2 - 11*m + 6.
-(m - 3)*(m - 2)*(m - 1)
Factor -t**2/2 - 3*t/2 + 2.
-(t - 1)*(t + 4)/2
Solve -g**2/5 - 2548*g/5 - 1623076/5 = 0 for g.
-1274
Find h, given that 2*h**2 + 36*h - 1520 = 0.
-38, 20
Suppose 4*g**4 + 556*g**3 - 1692*g**2 + 1700*g - 568 = 0. Calculate g.
-142, 1
Factor -7*v**5 + 1025*v**4 - 37741*v**3 + 15987*v**2.
-v**2*(v - 73)**2*(7*v - 3)
Factor 5*m**2 - 965*m - 970.
5*(m - 194)*(m + 1)
Factor -a**3 + 841*a**2 - 176399*a - 177241.
-(a - 421)**2*(a + 1)
Suppose -20*q**4 + 35*q**3 - 10*q**2 - 5*q = 0. What is q?
-1/4, 0, 1
Let j**4/4 - 3*j**2/4 - j/2 = 0. What is j?
-1, 0, 2
Factor -2*b**3 + 192*b**2 - 1090*b + 900.
-2*(b - 90)*(b - 5)*(b - 1)
Let 44*z**3 - 64*z**2 - 180*z - 72 = 0. Calculate z.
-1, -6/11, 3
Solve -4*r**5 - 28*r**4 - 20*r**3 + 172*r**2 + 168*r - 288 = 0 for r.
-4, -3, 1, 2
Determine t, given that -2*t**2 - 154*t - 2352 = 0.
-56, -21
Let -q**3/4 - 50*q**2 - 2500*q = 0. Calculate q.
-100, 0
Determine z so that 2*z**4/5 + 8*z**3 + 42*z**2 + 76*z + 208/5 = 0.
-13, -4, -2, -1
Factor -a**4/7 + 11*a**3/7 + 33*a**2/7 - 351*a/7 - 972/7.
-(a - 9)**2*(a + 3)*(a + 4)/7
Factor -4*n**2/7 + 1256*n/7 - 98596/7.
-4*(n - 157)**2/7
Factor 2*p**3/13 + 426*p**2/13 - 428*p/13.
2*p*(p - 1)*(p + 214)/13
Factor 2*y**2/9 - 10*y/3 + 28/9.
2*(y - 14)*(y - 1)/9
Factor t**3 + 179*t**2 + 8099*t + 7921.
(t + 1)*(t + 89)**2
Factor 15*x**3 - 117*x**2/4 - 3*x/2.
3*x*(x - 2)*(20*x + 1)/4
Let -3*w**2 + 141*w = 0. Calculate w.
0, 47
Factor 5*t**2 - 17600*t - 35220.
5*(t - 3522)*(t + 2)
Find a, given that -147*a**4/5 - 819*a**3/5 - 204*a**2 - 396*a/5 - 48/5 = 0.
-4, -1, -2/7
Factor 2*c**3/5 + 136*c**2/5 + 2312*c/5.
2*c*(c + 34)**2/5
Factor 2*s**4/7 + 2*s**3/7 - 6*s**2/7 - 2*s/7 + 4/7.
2*(s - 1)**2*(s + 1)*(s + 2)/7
Factor m**4/5 + m**3/5 - 2*m**2 + 8*m/5.
m*(m - 2)*(m - 1)*(m + 4)/5
Find l, given that -l**2/9 - 430*l - 416