= 0.
-7, 1, 8
Let 15*n**5 + 230*n**4 + 1010*n**3 + 900*n**2 - 385*n - 490 = 0. Calculate n.
-7, -1, 2/3
Solve 6*c**2/5 - 318*c/5 - 1008/5 = 0 for c.
-3, 56
Suppose -2*k**2 - 3660*k - 3658 = 0. What is k?
-1829, -1
Find h, given that -2*h**4 + 146*h**3 - 2874*h**2 + 7630*h - 4900 = 0.
1, 2, 35
Factor -3*o**3 + 2097*o**2 - 488601*o + 37948011.
-3*(o - 233)**3
Factor a**2/3 - 283*a - 1702/3.
(a - 851)*(a + 2)/3
Factor -2*s**2/3 - 136*s/3 + 280/3.
-2*(s - 2)*(s + 70)/3
Factor 4*j**5/5 - 1024*j**4/5 + 98304*j**3/5 - 4194304*j**2/5 + 67108864*j/5.
4*j*(j - 64)**4/5
Factor -2*k**2/9 - 100*k/3 - 1250.
-2*(k + 75)**2/9
Determine y so that 3*y**4/5 + 24*y**3/5 - 414*y**2/5 + 744*y/5 - 357/5 = 0.
-17, 1, 7
Let -2*h**3 + 152*h**2/3 + 106*h/3 - 52/3 = 0. What is h?
-1, 1/3, 26
Suppose -12*h**5/5 + 303*h**4/5 + 249*h**3/5 - 381*h**2/5 - 237*h/5 + 78/5 = 0. What is h?
-1, 1/4, 1, 26
Solve 896*m**5 + 10272*m**4 + 4174*m**3 - 4348*m**2 + 810*m - 44 = 0.
-11, -1, 1/8, 2/7
Suppose 6*k**2/19 + 140*k/19 - 96/19 = 0. Calculate k.
-24, 2/3
Let 5*z**2 + 75*z + 180 = 0. Calculate z.
-12, -3
Factor k**3/3 - 95*k**2/3 - 3248*k/3 - 8036.
(k - 123)*(k + 14)**2/3
Factor 2*v**3 - 2*v**2 - 84*v.
2*v*(v - 7)*(v + 6)
What is j in 2*j**2 + 2068*j + 534578 = 0?
-517
Solve -75*p**5 - 225*p**4 + 12*p**3 + 36*p**2 = 0 for p.
-3, -2/5, 0, 2/5
Factor 5*v**3/2 - 135*v**2/2 + 290*v - 330.
5*(v - 22)*(v - 3)*(v - 2)/2
Factor 3*p**2 - 1068*p + 5265.
3*(p - 351)*(p - 5)
Let 2*b**3 - 2*b**2 - 20*b - 16 = 0. Calculate b.
-2, -1, 4
Factor 19845*c**2 - 3150*c + 125.
5*(63*c - 5)**2
Factor -4*i**2 + 176*i + 368.
-4*(i - 46)*(i + 2)
Factor 3*y**5 - 12*y**4 + 15*y**3 - 6*y**2.
3*y**2*(y - 2)*(y - 1)**2
Factor -y**3/3 + 65*y**2/3 + 68*y/3 - 44.
-(y - 66)*(y - 1)*(y + 2)/3
Suppose 5*u**2 + 1025*u = 0. What is u?
-205, 0
Suppose -22*o**5/9 + 26*o**4/9 + 40*o**3/9 - 8*o**2/9 = 0. What is o?
-1, 0, 2/11, 2
Solve -d**2/5 + 71*d/5 + 632/5 = 0.
-8, 79
Determine i, given that 2*i**3/7 - 18*i**2/7 - 24*i/7 + 40/7 = 0.
-2, 1, 10
Factor w**5 - 22*w**4 + 21*w**3.
w**3*(w - 21)*(w - 1)
Factor -2*c**2/11 - 52*c/11 - 138/11.
-2*(c + 3)*(c + 23)/11
Determine p, given that -6*p**4 - 68*p**3 - 232*p**2 - 220*p - 50 = 0.
-5, -1, -1/3
Factor 28*m**4 - 32*m**3 - 20*m**2 + 24*m.
4*m*(m - 1)**2*(7*m + 6)
Factor s**4 + 12*s**3 - 365*s**2 - 4512*s + 4864.
(s - 19)*(s - 1)*(s + 16)**2
Factor 18*g**4/13 + 1752*g**3/13 + 3368*g**2 + 56064*g/13 + 18432/13.
2*(g + 48)**2*(3*g + 2)**2/13
Factor -6*t**3 - 11*t**2 + 7*t + 10.
-(t - 1)*(t + 2)*(6*t + 5)
Factor -2*y**3/3 - 8*y**2 - 24*y.
-2*y*(y + 6)**2/3
Factor 5*p**4 - 175*p**3 + 780*p**2 - 900*p.
5*p*(p - 30)*(p - 3)*(p - 2)
Factor -18*f**4/5 - 22*f**3/5 - 4*f**2/5.
-2*f**2*(f + 1)*(9*f + 2)/5
Determine k so that -44*k**4 + 388*k**3 + 512*k**2 + 80*k = 0.
-1, -2/11, 0, 10
Factor -29*m**2 - 10*m.
-m*(29*m + 10)
Factor -32*x**3 - 452*x**2 - 53*x + 42.
-(x + 14)*(4*x - 1)*(8*x + 3)
Factor 2*x**3/7 - 76*x**2/7.
2*x**2*(x - 38)/7
Factor 3*c**3/2 + 9*c**2 - 6*c - 36.
3*(c - 2)*(c + 2)*(c + 6)/2
Suppose -5*t**5 + 115*t**4 - 715*t**3 + 605*t**2 = 0. What is t?
0, 1, 11
Let 5*u**2 + 40*u - 100 = 0. What is u?
-10, 2
Solve -3*x**2 + 54*x - 231 = 0 for x.
7, 11
Let 2*m**5/17 - 16*m**4/17 + 44*m**3/17 - 48*m**2/17 + 18*m/17 = 0. What is m?
0, 1, 3
Factor -d**4/7 - d**3 + 5*d**2/7 + 111*d/7 + 180/7.
-(d - 4)*(d + 3)**2*(d + 5)/7
Factor -2*m**2 + 56*m - 104.
-2*(m - 26)*(m - 2)
Let 2*w**4 - 12*w**3 + 24*w**2 - 16*w = 0. Calculate w.
0, 2
Factor -z**3/3 + 6*z**2 - 92*z/3 + 40.
-(z - 10)*(z - 6)*(z - 2)/3
Factor 3*q**3 - 5325*q**2 + 2360304*q + 2365632.
3*(q - 888)**2*(q + 1)
Find s such that 5*s**2 + 6100*s + 1860500 = 0.
-610
Factor 7*b**4/3 - 18*b**3 + 68*b**2/3 + 8*b.
b*(b - 6)*(b - 2)*(7*b + 2)/3
Factor -x**2/5 - 54*x/5 + 112/5.
-(x - 2)*(x + 56)/5
Factor 3*z**2 + 198*z + 1239.
3*(z + 7)*(z + 59)
Factor 2*i**2/13 + 4*i - 240/13.
2*(i - 4)*(i + 30)/13
Factor -4*z**3 - 16*z**2 - 4*z + 24.
-4*(z - 1)*(z + 2)*(z + 3)
Factor -h**2/2 - 79*h/2 - 702.
-(h + 27)*(h + 52)/2
Solve -x**2 - 6*x + 27 = 0.
-9, 3
Factor -2*n**3 - 6*n**2 + 18*n - 10.
-2*(n - 1)**2*(n + 5)
Factor -v**2/4 - 13*v/4 - 9.
-(v + 4)*(v + 9)/4
Factor -99*h**3 - 7*h**2 + 90*h + 16.
-(h - 1)*(9*h + 8)*(11*h + 2)
Factor 676*y**3 - 1976*y**2 - 2716*y - 784.
4*(y - 4)*(13*y + 7)**2
Solve -15*i**3/4 + 51*i**2/4 + 3*i/4 - 63/4 = 0 for i.
-1, 7/5, 3
Solve -4*o**5 + 24*o**4 - 44*o**3 + 24*o**2 = 0 for o.
0, 1, 2, 3
Solve 5*b**3 - 925*b**2/3 = 0 for b.
0, 185/3
Suppose j**4/7 - 92*j**3/7 + 2022*j**2/7 + 4324*j/7 + 2209/7 = 0. Calculate j.
-1, 47
Let 5*t**4 + 500*t**3 = 0. Calculate t.
-100, 0
Factor 2*h**3/3 + 38*h**2/3 - 44*h/3 - 80/3.
2*(h - 2)*(h + 1)*(h + 20)/3
Find y, given that 12*y**2 - 11936*y - 3980 = 0.
-1/3, 995
Factor 5*v**2 + 190*v + 1805.
5*(v + 19)**2
Factor 50625*w**5 + 303300*w**4 + 604801*w**3 + 399606*w**2 - 3588*w + 8.
(w + 2)**3*(225*w - 1)**2
Determine i, given that -5*i**5 - 38*i**4 - 89*i**3 - 68*i**2 + 4*i + 16 = 0.
-4, -2, -1, 2/5
Factor t**3/7 - 64*t**2/7 + 9*t.
t*(t - 63)*(t - 1)/7
Let 2*c**4/7 + 118*c**3/7 + 814*c**2/7 - 118*c/7 - 816/7 = 0. Calculate c.
-51, -8, -1, 1
What is l in l**2/6 + 13*l/6 - 8 = 0?
-16, 3
Find z, given that 7*z**3 + 629*z**2/4 - 343*z/4 + 23/2 = 0.
-23, 1/4, 2/7
Determine f so that f**3/8 + 121*f**2/8 + 465*f + 450 = 0.
-60, -1
Factor 5*d**4 + 10*d**3.
5*d**3*(d + 2)
Factor b**2 + b - 20.
(b - 4)*(b + 5)
Factor n**3/3 + 8*n**2 + 20*n/3 - 176.
(n - 4)*(n + 6)*(n + 22)/3
Determine w, given that -w**3/5 - 26*w**2/5 - 8*w + 192/5 = 0.
-24, -4, 2
What is n in 5*n**3/2 + 75*n**2/2 + 315*n/2 + 405/2 = 0?
-9, -3
Find d, given that -15*d**4 + 355*d**3 - 1215*d**2 - 2155*d - 570 = 0.
-1, -1/3, 6, 19
Factor -5*r**4 + 20*r**3 + 15*r**2 - 50*r - 40.
-5*(r - 4)*(r - 2)*(r + 1)**2
Factor -5*r**2 - 110*r + 115.
-5*(r - 1)*(r + 23)
Let 4*w**4 + 568*w**3 - 572*w**2 = 0. What is w?
-143, 0, 1
Factor 3*z**2 + 2478*z.
3*z*(z + 826)
Suppose -5*w**2 - 480*w = 0. What is w?
-96, 0
Factor -16*b**3 + 1324*b**2 + 344*b - 996.
-4*(b - 83)*(b + 1)*(4*b - 3)
Factor -q**2/10 + 3712*q/5 - 6889472/5.
-(q - 3712)**2/10
Let -4*s**4/5 + 152*s**3/5 - 692*s**2/5 + 1072*s/5 - 528/5 = 0. Calculate s.
1, 2, 33
Suppose 25*p**4 - 530*p**3 + 1080*p**2 - 670*p + 95 = 0. What is p?
1/5, 1, 19
What is f in -f**4/10 + 2*f**3 + 13*f**2/5 - 54*f/5 + 63/10 = 0?
-3, 1, 21
Solve -2*s**2 + 4066*s - 8124 = 0.
2, 2031
Factor -r**3 - 22*r**2 + 197*r - 174.
-(r - 6)*(r - 1)*(r + 29)
Suppose 9*y**5/5 - 93*y**4/5 + 112*y**3/5 - 36*y**2/5 = 0. What is y?
0, 2/3, 9
Factor 3*n**3 + 42*n**2.
3*n**2*(n + 14)
Factor 3*b**2/4 + 55*b/4 - 19/2.
(b + 19)*(3*b - 2)/4
Determine k, given that -2*k**5/15 - 6*k**4/5 - 14*k**3/5 + 34*k**2/15 + 68*k/5 + 48/5 = 0.
-4, -3, -1, 2
Suppose 2*m**2/17 - 168*m/17 + 3528/17 = 0. What is m?
42
Determine g so that -21*g**5 - 30*g**4 + 24*g**3 = 0.
-2, 0, 4/7
Factor 3*c**5/2 + 3*c**4/2 - 3*c**3 - 3*c**2 + 3*c/2 + 3/2.
3*(c - 1)**2*(c + 1)**3/2
Find i such that -3*i**3 + 57*i**2 + 60*i = 0.
-1, 0, 20
Factor 30651*v**3 - 6*v**2.
3*v**2*(10217*v - 2)
Factor -b**2/5 - 183*b/5 + 558/5.
-(b - 3)*(b + 186)/5
Suppose 26*p**5/5 - 4*p**4/5 - 26*p**3/5 + 4*p**2/5 = 0. What is p?
-1, 0, 2/13, 1
Factor -2*q**2 + 22*q - 20.
-2*(q - 10)*(q - 1)
Factor 2*b**3 + 262*b**2/7 + 400*b/7 - 136/7.
2*(b + 2)*(b + 17)*(7*b - 2)/7
Suppose o**5/3 + 308*o**4/3 - 103*o**3 = 0. What is o?
-309, 0, 1
Factor -2*l**3/7 - 128*l**2/7 - 590*l/7.
-2*l*(l + 5)*(l + 59)/7
What is q in 78*q**3 - 220*q**2 + 136*q - 16 = 0?
2/13, 2/3, 2
Factor 2*d**2/13 + 248*d/13 + 7688/13.
2*(d + 62)**2/13
Find s such that -5*s**2 + 160*s - 155 = 0.
1, 31
Suppose 4*x**4 - 248*x**3 + 224*x**2 + 1208*x + 732 = 0. Calculate x.
-1, 3, 61
Find a, given that -2*a**2/21 - 1058*a/21 = 0.
-529, 0
Solve -3*o**5/2 + 18*o**4 - 9*o**3/2 - 312*o**2 - 288*o = 0 for o.
-3, -1, 0, 8
Factor r**5/4 + 37*r**4/4 + 64*r**3 + 182*r**2 + 236*r + 116.
(r + 2)**4*(r + 29)/4
What is n in -n**5/5 - 3*n**4 + 53*n**3/5 - 21*n**2/5 - 52*n/5 + 36/5 = 0?
-18, -1, 1, 2
Solve -4*x**4/3 - 76*x**3/3 + 28*x**2/3 + 4108*x/3 - 1352 = 0 for x.
-13, 1, 6
Factor 3*i**3 + 10383*i**2 + 8978697*i - 8989083.
3*(i - 1)*(i + 1731)**2
Let -v**5/2 - 228*v**4 - 25992*v**3 = 0. What is v?
-228, 0
Factor 2*z**3/3 - 70*z**2/3 - 