 9*p**4/5 - 33*p**3/5 + 81*p**2/5 + 6*p - 72/5 = 0.
-3, -1, 1, 2, 4
Solve 4*j**3/5 + 3092*j**2/5 + 6172*j/5 + 3084/5 = 0.
-771, -1
Factor g**2/3 - 43*g/3 - 46.
(g - 46)*(g + 3)/3
Factor -4*d**2 + 8356*d + 8360.
-4*(d - 2090)*(d + 1)
Determine j, given that 686*j**4 - 5978*j**3 - 8442*j**2 - 3726*j - 540 = 0.
-3/7, 10
Let s**4/6 + 11*s**3/3 + 28*s**2 + 272*s/3 + 320/3 = 0. What is s?
-10, -4
Find t, given that 3*t**2/8 - 3951*t/4 + 5203467/8 = 0.
1317
Suppose y**4/7 - 122*y**3/7 + 2617*y**2/7 + 67344*y/7 + 304704/7 = 0. What is y?
-8, 69
Factor 3*a**2 + 114*a + 315.
3*(a + 3)*(a + 35)
Factor 2*t**4 + 16*t**3 - 22*t**2 - 36*t.
2*t*(t - 2)*(t + 1)*(t + 9)
Factor 11*h**4 + 92*h**3 + 208*h**2 + 64*h.
h*(h + 4)**2*(11*h + 4)
Factor -2*x**3/9 - 152*x**2/9 + 2*x/9 + 152/9.
-2*(x - 1)*(x + 1)*(x + 76)/9
Determine b, given that 2*b**2 - 22*b - 84 = 0.
-3, 14
Factor 2*m**2 + 372*m.
2*m*(m + 186)
Let -b**5/5 + 6*b**4/5 - 2*b**3/5 - 4*b**2 + 27*b/5 - 2 = 0. What is b?
-2, 1, 5
Factor -17*q**3/2 - 29*q**2/2 + 61*q/2 - 15/2.
-(q - 1)*(q + 3)*(17*q - 5)/2
Factor -c**2/3 - 104*c/3 + 35.
-(c - 1)*(c + 105)/3
Let -f**2/4 - 459*f/2 - 210681/4 = 0. What is f?
-459
Factor 2*x**3/15 - 1766*x**2/5 + 1559378*x/5 - 1376930774/15.
2*(x - 883)**3/15
Factor -3*q**5/5 + 109*q**4/5 - 1008*q**3/5 + 324*q**2/5.
-q**2*(q - 18)**2*(3*q - 1)/5
Determine i so that 5*i**3/4 + 65*i**2/4 + 55*i + 40 = 0.
-8, -4, -1
Determine t, given that -4*t**3 + 3304*t**2 - 682276*t = 0.
0, 413
Determine y, given that 21*y**2 + 678*y + 192 = 0.
-32, -2/7
What is k in k**2/9 - 76*k/9 - 77/9 = 0?
-1, 77
Find p, given that -41*p**4/7 - 740*p**3/7 - 1389*p**2/7 - 722*p/7 - 32/7 = 0.
-16, -1, -2/41
Factor 2*z**4 - 60*z**3 + 538*z**2 - 1704*z + 1224.
2*(z - 17)*(z - 6)**2*(z - 1)
Determine o so that -350*o**2 - 80*o - 32/7 = 0.
-4/35
Factor 3*y**2 + 2088*y + 363312.
3*(y + 348)**2
Determine s so that 3*s**4/5 - 3*s**3/5 - 9*s**2/5 + 3*s - 6/5 = 0.
-2, 1
Factor i**4/5 - 12*i**3/5 + 16*i**2/5 + 48*i/5 - 16.
(i - 10)*(i - 2)**2*(i + 2)/5
Suppose -a**2/7 - 6*a/7 - 9/7 = 0. What is a?
-3
Solve -p**4/3 + 11*p**3 - 30*p**2 - 4*p/3 + 40 = 0.
-1, 2, 30
Factor 2*c**2/5 + 198*c/5 + 196/5.
2*(c + 1)*(c + 98)/5
Find z such that 4*z**5 - 68*z**4 + 160*z**3 + 160*z**2 - 704*z + 448 = 0.
-2, 1, 2, 14
Factor -n**3/6 + 49*n**2/6 + 25*n/3.
-n*(n - 50)*(n + 1)/6
Factor 4*g**5/3 - 20*g**4/3 + 32*g**3/3 - 16*g**2/3.
4*g**2*(g - 2)**2*(g - 1)/3
Factor 4*u**4 + 12*u**3 - 7384*u**2 - 7392*u.
4*u*(u - 42)*(u + 1)*(u + 44)
Find b, given that -3*b**2/4 + 465*b/4 = 0.
0, 155
Let -3*j**2/5 - 1134*j/5 - 107163/5 = 0. Calculate j.
-189
Factor -2*i**4/5 + 28*i**3/5 - 112*i**2/5 + 128*i/5.
-2*i*(i - 8)*(i - 4)*(i - 2)/5
Determine r so that -2*r**4 - 8*r**3 + 664*r**2 + 1344*r - 56448 = 0.
-14, 12
Suppose -3*s**3 + 21*s**2 - 45*s + 27 = 0. Calculate s.
1, 3
Determine o so that 2*o**3/11 + 84*o**2 + 12936*o + 664048 = 0.
-154
Find j, given that -j**3/3 - 8*j**2 = 0.
-24, 0
What is l in 3*l**2/2 - 75*l/2 + 69 = 0?
2, 23
What is h in -h**4/5 - 4*h**3/5 + 3*h**2/5 + 2*h - 8/5 = 0?
-4, -2, 1
Find m such that -3*m**3/2 - 1209*m**2/2 - 2409*m/2 - 1203/2 = 0.
-401, -1
Suppose 2*b**5 + 86*b**4 + 878*b**3 - 1054*b**2 - 880*b + 968 = 0. What is b?
-22, -1, 1
Solve 17*b**4/5 + 138*b**3/5 + 16*b**2/5 = 0.
-8, -2/17, 0
Factor w**4 - 51*w**3 + 673*w**2 - 525*w - 1250.
(w - 25)**2*(w - 2)*(w + 1)
Factor -2*b**3/7 + 2*b**2/7.
-2*b**2*(b - 1)/7
Factor 2*d**4 - 7444*d**3 + 9240480*d**2 - 3831699200*d + 7626496000.
2*(d - 1240)**3*(d - 2)
Factor -x**4 + 178*x**3 - 177*x**2.
-x**2*(x - 177)*(x - 1)
Factor j**2/2 + 122*j + 7442.
(j + 122)**2/2
Factor r**2/2 - 81*r/2 - 455.
(r - 91)*(r + 10)/2
Factor 9*d**3 + 321*d**2 - 441*d + 111.
3*(d - 1)*(d + 37)*(3*d - 1)
Factor r**3/2 - 39*r**2 + 1521*r/2.
r*(r - 39)**2/2
Determine u, given that 8*u**4 - 82*u**3 + 12*u**2 + 82*u - 20 = 0.
-1, 1/4, 1, 10
Factor 5*x**3 - 325*x**2 + 1240*x - 1220.
5*(x - 61)*(x - 2)**2
Factor 2*n**2/3 - 100*n/3 + 962/3.
2*(n - 37)*(n - 13)/3
Factor -3*x**2/2 - 9*x/2 + 15.
-3*(x - 2)*(x + 5)/2
Factor 2*g**3/5 - 42*g**2/5 + 144*g/5 - 136/5.
2*(g - 17)*(g - 2)**2/5
Factor -4*x**4/7 + 312*x**3/7 - 5076*x**2/7 - 5616*x - 9072.
-4*(x - 42)**2*(x + 3)**2/7
Suppose -2*a**2/11 - 150*a/11 - 1072/11 = 0. What is a?
-67, -8
What is o in 50*o**5 + 355*o**4 + 290*o**3 - 285*o**2 - 270*o = 0?
-6, -1, 0, 9/10
Solve 2*i**3/7 + 4*i**2 = 0.
-14, 0
Suppose -x**5 - 18*x**4 + 48*x**3 + 1586*x**2 + 1521*x = 0. Calculate x.
-13, -1, 0, 9
Determine u so that -5*u**2 + 35*u/6 - 5/6 = 0.
1/6, 1
Factor -5*a**3 + 195*a**2 - 1320*a - 12100.
-5*(a - 22)**2*(a + 5)
What is y in y**2/4 - 2979*y/2 - 5959/4 = 0?
-1, 5959
Let -3*v**2 - 3750*v + 3753 = 0. What is v?
-1251, 1
Find r such that -3*r**4 - 27*r**3 + 42*r**2 + 108*r - 120 = 0.
-10, -2, 1, 2
Factor -g**3/3 - 11*g**2/3 - 32*g/3 - 28/3.
-(g + 2)**2*(g + 7)/3
Factor -116*q**2 + 400*q - 336.
-4*(q - 2)*(29*q - 42)
Factor -49*u**5 - 14*u**4 - u**3.
-u**3*(7*u + 1)**2
Factor 28*p**3 + 558*p**2 + 500*p + 114.
2*(p + 19)*(2*p + 1)*(7*p + 3)
Suppose 7*j**4/4 + 401*j**3/4 + 221*j**2 + 55*j = 0. Calculate j.
-55, -2, -2/7, 0
What is k in k**2/7 - 130*k/7 + 4225/7 = 0?
65
Factor -5*o**4 + 240*o**3 + 1020*o**2 + 1040*o.
-5*o*(o - 52)*(o + 2)**2
Factor 9*n**4 + 57*n**3 + 90*n**2 + 24*n.
3*n*(n + 2)*(n + 4)*(3*n + 1)
Factor 2*p**4/3 - 4*p**3/3 - 22*p**2/3 + 8*p + 24.
2*(p - 3)**2*(p + 2)**2/3
What is d in -31*d**2/5 - 12*d + 4/5 = 0?
-2, 2/31
Factor y**4/5 + 6*y**3/5 - 13*y**2/5 - 42*y/5.
y*(y - 3)*(y + 2)*(y + 7)/5
Factor n**3/6 - 39*n**2 + 4403*n/2 + 28322/3.
(n - 119)**2*(n + 4)/6
Suppose t**2/8 - 41*t/8 - 43/4 = 0. What is t?
-2, 43
Find i, given that -3*i**4/2 - 93*i**3/2 + 9*i**2/2 + 285*i/2 + 93 = 0.
-31, -1, 2
Factor -4*t**2 + 4312*t - 4308.
-4*(t - 1077)*(t - 1)
Determine w, given that 4*w**5 - 128*w**4 - 1748*w**3 - 6128*w**2 - 3008*w + 11008 = 0.
-4, 1, 43
Determine d so that -d**3 + 3*d + 2 = 0.
-1, 2
Solve q**5 - 7*q**4 + 3*q**3 + 63*q**2 - 108*q = 0.
-3, 0, 3, 4
Factor -3*y**4 - 288*y**3 - 282*y**2 + 288*y + 285.
-3*(y - 1)*(y + 1)**2*(y + 95)
Factor a**5 - 91*a**4 + 348*a**3 + 16*a**2 - 1408*a + 1392.
(a - 87)*(a - 2)**3*(a + 2)
Solve 2*m**4/7 - 458*m**3/7 + 5016*m**2 - 912608*m/7 + 877952/7 = 0 for m.
1, 76
Factor -3*s**2 + 78*s - 75.
-3*(s - 25)*(s - 1)
Determine a, given that 4*a**5/7 - 40*a**4/7 + 16*a**3 - 24*a**2/7 - 180*a/7 = 0.
-1, 0, 3, 5
Let 4*h**4 + 312*h**3 - 4*h**2 - 312*h = 0. What is h?
-78, -1, 0, 1
Factor -2*v**5 + 816*v**4 - 81576*v**3 - 339488*v**2.
-2*v**2*(v - 206)**2*(v + 4)
Factor 4*b**4/5 + 16*b**3/5 + 12*b**2/5 - 16*b/5 - 16/5.
4*(b - 1)*(b + 1)*(b + 2)**2/5
Factor -2*y**3/3 + 460*y**2/3 - 914*y/3 + 152.
-2*(y - 228)*(y - 1)**2/3
Find y, given that -y**2/2 + 65*y/2 = 0.
0, 65
Find l, given that -5*l**5 + 8*l**4 + 4*l**3 = 0.
-2/5, 0, 2
Let -72*q**4 - 1012*q**3 - 2280*q**2 + 10368*q + 5632 = 0. Calculate q.
-8, -1/2, 22/9
Determine g, given that 5*g**5 + 40*g**4 - 95*g**3 - 490*g**2 - 360*g = 0.
-9, -2, -1, 0, 4
Let -y**3 + 333*y**2 - 36963*y + 1367631 = 0. Calculate y.
111
Determine i, given that 4*i**4 + 32*i**3 + 68*i**2 + 40*i = 0.
-5, -2, -1, 0
Let -210*r**4 + 286*r**3 - 42*r**2 - 46*r + 12 = 0. Calculate r.
-2/5, 1/3, 3/7, 1
Find g, given that 5735339*g**4/2 + 5831462*g**3 + 193320*g**2 + 2152*g + 8 = 0.
-2, -2/179
Suppose 18*f**3/7 - 200*f**2/7 + 202*f/7 - 20/7 = 0. Calculate f.
1/9, 1, 10
What is u in -106*u**4/5 - 772*u**3/25 + 806*u**2/25 + 472*u/25 + 24/25 = 0?
-2, -2/5, -3/53, 1
Suppose y**3/4 + 7*y**2/2 + 16*y + 24 = 0. Calculate y.
-6, -4
Factor -2*j**3/13 + 414*j**2/13 - 21630*j/13 + 21218/13.
-2*(j - 103)**2*(j - 1)/13
Factor -4*a**2 - 48*a + 1456.
-4*(a - 14)*(a + 26)
Solve -4*r**3 - 172*r**2 - 168*r = 0.
-42, -1, 0
Determine v, given that 12*v**3/5 + 22*v**2/5 + 2*v = 0.
-1, -5/6, 0
Factor -3*k**2 - 81*k + 714.
-3*(k - 7)*(k + 34)
Factor -7*a**2/10 - 5*a/2 - 6/5.
-(a + 3)*(7*a + 4)/10
Factor 2*r**2/7 - 100*r/7 - 208/7.
2*(r - 52)*(r + 2)/7
Determine k, given that -20*k**3 + 263*k**2 + 573*k - 270 = 0.
-9/4, 2/5, 15
Factor 3*u**3/4 - 93*u**2/2 + 2883*u/4.
3*u*(u - 31)**2/4
Factor 2*m**2 - 526*m/9 + 116/9.
2*(m - 29)*(9*m - 2)/9
Solve 2*c**5/3 + 2*c**4/3 - 14*c**3/3 - 26*c**2/3 - 4*c = 0.
-2, -1, 0, 3
What is h in -2*h**