- 1)*(j + 1322)
Determine v, given that -2*v**2 - 18*v = 0.
-9, 0
Suppose 5*p**3 + 65*p**2 + 210*p = 0. What is p?
-7, -6, 0
Suppose f**2/3 - 7*f + 98/3 = 0. What is f?
7, 14
Factor 3*w**2/7 + 69*w/7 + 270/7.
3*(w + 5)*(w + 18)/7
Factor -2*g**4/13 + 176*g**3/13 - 5220*g**2/13 + 53824*g/13 - 48778/13.
-2*(g - 29)**3*(g - 1)/13
Factor 4*l**3/7 + 10*l**2/7 + 4*l/7.
2*l*(l + 2)*(2*l + 1)/7
Determine a, given that 86*a**2/3 - 142*a - 20/3 = 0.
-2/43, 5
Suppose 4*u**4/5 + 96*u**3/5 - 104*u**2/5 - 96*u/5 + 20 = 0. Calculate u.
-25, -1, 1
Suppose -56*y**5 - 12770*y**4 - 50796*y**3 - 38518*y**2 + 2252*y + 2688 = 0. What is y?
-224, -3, -1, -2/7, 1/4
Suppose -f**4/5 + 3109*f**3/5 - 3222996*f**2/5 + 1115154544*f/5 - 1111934656/5 = 0. What is f?
1, 1036
Find w, given that 12*w**2/5 + 2044*w/5 + 136 = 0.
-170, -1/3
Solve -n**2 + 12*n + 13 = 0.
-1, 13
Suppose b**2 + 1214*b + 368449 = 0. What is b?
-607
Factor 2*z**4/7 + 6*z**3/7 - 12*z**2/7 - 16*z/7.
2*z*(z - 2)*(z + 1)*(z + 4)/7
Factor 3*k**3 - 49*k**2 + 196*k - 60.
(k - 10)*(k - 6)*(3*k - 1)
Factor 14*l**3/9 - 232*l**2/3 + 54*l + 196/9.
2*(l - 49)*(l - 1)*(7*l + 2)/9
Let 2*o**2 - 26*o + 44 = 0. Calculate o.
2, 11
Find s such that 5*s**4/4 - 25*s**3/4 - 105*s**2/4 - 115*s/4 - 10 = 0.
-1, 8
What is q in 3*q**3/7 - 123*q**2/7 + 171*q + 189 = 0?
-1, 21
Let -2*t**4/11 - 28*t**3/11 + 32*t**2/11 + 28*t/11 - 30/11 = 0. Calculate t.
-15, -1, 1
Find y, given that -2*y**2/3 + 26*y/3 = 0.
0, 13
Suppose -2*c**4 - 654*c**3 - 53136*c**2 + 53792*c = 0. Calculate c.
-164, 0, 1
Find g, given that 4*g**4 + 16*g**3 - 20*g**2 = 0.
-5, 0, 1
Factor -2*r**2/9 - 4*r/3 + 1232/9.
-2*(r - 22)*(r + 28)/9
What is g in 2*g**2 + 22*g + 20 = 0?
-10, -1
Solve -5041*a**2/2 - 142*a - 2 = 0 for a.
-2/71
Solve -d**5/2 - 5*d**4/2 - 9*d**3/2 - 7*d**2/2 - d = 0 for d.
-2, -1, 0
What is d in 18*d**4/5 + 814*d**3/5 + 1728*d**2/5 + 344*d/5 = 0?
-43, -2, -2/9, 0
Let 4*l**3 - 12*l**2 = 0. Calculate l.
0, 3
Find l, given that l**2 - 258*l + 16641 = 0.
129
Let -9*b**5/4 + 363*b**4/4 - 4063*b**3/4 + 8193*b**2/4 - 1482*b + 361 = 0. Calculate b.
2/3, 1, 19
Factor -5*a**3 + 360*a**2 - 6825*a + 12250.
-5*(a - 35)**2*(a - 2)
Let -5*t**4 + 35*t**3 + 85*t**2 + 45*t = 0. What is t?
-1, 0, 9
Determine x, given that 3*x**3/7 + 2508*x**2/7 + 5007*x/7 + 2502/7 = 0.
-834, -1
Let -5*c**5 - 1825*c**4 - 163760*c**3 + 507820*c**2 - 7360*c - 677120 = 0. Calculate c.
-184, -1, 2
Factor -2*x**2 + 904*x - 102152.
-2*(x - 226)**2
Solve 3*q**3 + 165*q**2 + 321*q + 159 = 0 for q.
-53, -1
Find r, given that -3*r**5 - 36*r**4 - 168*r**3 - 384*r**2 - 432*r - 192 = 0.
-4, -2
Determine t so that 4*t**4 - 88*t**3 + 324*t**2 + 928*t + 512 = 0.
-1, 8, 16
Let -2*l**3 - 70*l**2 - 646*l - 578 = 0. What is l?
-17, -1
Find b, given that -b**3 - 21*b**2 - 20*b = 0.
-20, -1, 0
Factor -10*x**4 + 21*x**3 - 12*x**2 + x.
-x*(x - 1)**2*(10*x - 1)
Factor -4*t**3/5 + 32*t**2/5.
-4*t**2*(t - 8)/5
Let i**3 + 14*i**2 + 25*i + 12 = 0. Calculate i.
-12, -1
What is q in -q**5/3 - 17*q**4/3 - 104*q**3/3 - 280*q**2/3 - 112*q - 48 = 0?
-6, -2, -1
Factor y**4/4 - 21*y**3/4 - 23*y**2/2.
y**2*(y - 23)*(y + 2)/4
Find q such that -6*q**4 - 39*q**3/2 - 12*q**2 + 21*q/2 + 9 = 0.
-2, -1, 3/4
Solve 3*d**3/7 - 27*d**2/7 + 24*d/7 = 0 for d.
0, 1, 8
Find i such that -20*i**4/7 - 912*i**3/7 - 1776*i**2 - 42880*i/7 + 19200/7 = 0.
-20, -6, 2/5
Solve 2*z**2/15 - 6*z/5 + 28/15 = 0.
2, 7
Find r such that 3*r**4 - 36*r**2 + 48*r = 0.
-4, 0, 2
Factor p**3/7 - 4*p**2/7 - p/7 + 4/7.
(p - 4)*(p - 1)*(p + 1)/7
Factor 4*x**3 + 204*x**2 + 2700*x + 2500.
4*(x + 1)*(x + 25)**2
Factor 6*z**3 - 68*z**2 - 58*z + 120.
2*(z - 12)*(z - 1)*(3*z + 5)
Factor -3*d**3/5 + 24*d**2/5 - 39*d/5 + 18/5.
-3*(d - 6)*(d - 1)**2/5
Solve 565*u**2 + 560*u - 5 = 0 for u.
-1, 1/113
Suppose -3*c**4/5 - 17*c**3/5 - 31*c**2/5 - 23*c/5 - 6/5 = 0. What is c?
-3, -1, -2/3
Find l such that 2*l**4/7 + 2*l**3/7 - 512*l**2/7 - 512*l/7 = 0.
-16, -1, 0, 16
Let z**5 + 6*z**4 + 9*z**3 - 4*z**2 - 12*z = 0. Calculate z.
-3, -2, 0, 1
Solve i**5/3 + i**4 - 14*i**3/3 - 6*i**2 + 13*i/3 + 5 = 0.
-5, -1, 1, 3
Factor 4*a**3 + 332*a**2 + 7904*a + 40432.
4*(a + 7)*(a + 38)**2
Factor -4*w**4 - 816*w**3 - 41616*w**2.
-4*w**2*(w + 102)**2
Determine p so that -p**2 + 22*p - 21 = 0.
1, 21
Let -8*s**5/15 - 376*s**4/5 - 39194*s**3/15 + 13348*s**2/5 - 10082*s/15 = 0. What is s?
-71, 0, 1/2
Find g such that 3*g**4 - 42*g**3 + 171*g**2 - 228*g + 96 = 0.
1, 4, 8
Find k, given that k**5 - 4*k**4 - 8*k**3 + 14*k**2 + 7*k - 10 = 0.
-2, -1, 1, 5
Factor -2*d**3/7 - 4*d**2 - 38*d/7 + 60.
-2*(d - 3)*(d + 7)*(d + 10)/7
Factor 10*m**2 + 135*m - 70.
5*(m + 14)*(2*m - 1)
Solve 2*y**4/3 + 28*y**3 - 214*y**2/3 - 544*y + 1760/3 = 0 for y.
-44, -4, 1, 5
Factor -7*n**4 + 16*n**3 - 11*n**2 + 2*n.
-n*(n - 1)**2*(7*n - 2)
Factor -a**3/2 + 27*a**2/2 + 15*a - 28.
-(a - 28)*(a - 1)*(a + 2)/2
Factor -4*l**3 + 2628*l**2 - 10460*l + 7836.
-4*(l - 653)*(l - 3)*(l - 1)
Factor -12*o**2 - 58*o + 10.
-2*(o + 5)*(6*o - 1)
Factor 2*w**2/19 - 54*w/19 - 56/19.
2*(w - 28)*(w + 1)/19
Factor 3*d**2 - 213*d + 210.
3*(d - 70)*(d - 1)
Factor 33*w**2/7 + 6*w + 9/7.
3*(w + 1)*(11*w + 3)/7
Factor 2*d**3 + 66*d**2 + 388*d + 624.
2*(d + 3)*(d + 4)*(d + 26)
Determine w so that -2*w**4/11 - 32*w**3/11 - 58*w**2/11 - 28*w/11 = 0.
-14, -1, 0
Solve -2*b**2/5 + 20*b - 192/5 = 0 for b.
2, 48
Factor 7*l**3/2 + 3*l**2 - 13*l/2.
l*(l - 1)*(7*l + 13)/2
Solve -5*w**2 - 85*w/4 + 125/2 = 0 for w.
-25/4, 2
Let s**4/3 - 8*s**3 + 22*s**2/3 + 8*s - 23/3 = 0. What is s?
-1, 1, 23
Find k, given that -4*k**3 + 3824*k**2 - 906240*k - 3686400 = 0.
-4, 480
Factor 3362*r**2/9 + 164*r/3 + 2.
2*(41*r + 3)**2/9
Suppose 32*p**5/11 + 16*p**4/11 - 10*p**3 - 100*p**2/11 = 0. Calculate p.
-5/4, 0, 2
Solve 3*d**3/2 + 27*d**2/4 + 21*d/4 - 9/2 = 0 for d.
-3, -2, 1/2
Factor -9*b**5/4 + 37*b**4/2 - 58*b**3 + 84*b**2 - 52*b + 8.
-(b - 2)**4*(9*b - 2)/4
Factor -3*j**2/4 - 147*j/4.
-3*j*(j + 49)/4
Let -a**3/3 + 15*a**2 - 144*a + 396 = 0. Calculate a.
6, 33
Solve -a**3/3 - 292*a**2/3 - 21316*a/3 = 0.
-146, 0
Let c**3 - 317*c**2 + 25280*c - 24964 = 0. What is c?
1, 158
Factor -2*m**2/9 - 208*m/3 - 5408.
-2*(m + 156)**2/9
Factor 4*m**3 + 168*m**2 - 4*m - 168.
4*(m - 1)*(m + 1)*(m + 42)
Factor -3*m**3/8 - 249*m**2/8 - 489*m/8 - 243/8.
-3*(m + 1)**2*(m + 81)/8
What is w in -2*w**4 - 438*w**3 - 2144*w**2 - 840*w + 3424 = 0?
-214, -4, -2, 1
Factor -8*o**3 - 78*o**2 + 110*o.
-2*o*(o + 11)*(4*o - 5)
Factor -9*n**2 + 867*n + 582.
-3*(n - 97)*(3*n + 2)
Factor -q**5 - 5*q**4 - 3*q**3 + 9*q**2.
-q**2*(q - 1)*(q + 3)**2
Solve -2*m**2/13 + 76*m/13 - 144/13 = 0.
2, 36
Factor -2*w**2/7 + 17468*w/7 - 38141378/7.
-2*(w - 4367)**2/7
Factor j**2 - j.
j*(j - 1)
Determine o so that -o**5/6 + 14*o**4/3 + 41*o**3/2 + 79*o**2/3 + 32*o/3 = 0.
-2, -1, 0, 32
Find o such that 2*o**5/9 - 8*o**4/9 - 136*o**3/9 - 28*o**2 + 54*o + 132 = 0.
-3, 2, 11
Suppose -49*m**4/9 - 77*m**3/9 + 262*m**2/9 + 164*m/9 + 8/3 = 0. What is m?
-3, -2/7, 2
What is f in f**4/4 + 7*f**3/4 + 3*f**2/2 = 0?
-6, -1, 0
Factor 3*w**5 - 3*w**4 - 27*w**3 + 27*w**2.
3*w**2*(w - 3)*(w - 1)*(w + 3)
Let -3*s**5/8 + 33*s**4/2 + 207*s**3/4 + 105*s**2/2 + 141*s/8 = 0. Calculate s.
-1, 0, 47
Factor 5*s**5 + 20*s**4 - 15*s**3 - 70*s**2 - 40*s.
5*s*(s - 2)*(s + 1)**2*(s + 4)
What is w in -w**4/6 + 8*w**3/3 + 329*w**2/6 + 226*w + 174 = 0?
-6, -1, 29
Suppose -m**3/9 + 10*m**2/3 - 12*m + 104/9 = 0. What is m?
2, 26
Factor -r**2 + 260*r - 16900.
-(r - 130)**2
Factor 4*l**3 - 1516*l**2 + 145888*l - 424128.
4*(l - 188)**2*(l - 3)
Find w such that -22*w**3/3 - 34*w**2/3 + 20*w/3 = 0.
-2, 0, 5/11
Factor u**4/2 + 39*u**3/4 + 65*u**2/2 - 75*u/4.
u*(u + 5)*(u + 15)*(2*u - 1)/4
Let h**5/3 + 2*h**4 - 17*h**3/3 - 2*h**2 + 16*h/3 = 0. Calculate h.
-8, -1, 0, 1, 2
Suppose -2*o**4/5 - 4*o**3 - 48*o**2/5 + 4*o + 10 = 0. Calculate o.
-5, -1, 1
Factor -5*w**3/4 + 1905*w**2/4 - 44640*w - 138240.
-5*(w - 192)**2*(w + 3)/4
Suppose -2*z**3/17 + 146*z**2/17 - 140*z/17 - 288/17 = 0. What is z?
-1, 2, 72
Factor -z**2/2 + 92*z - 182.
-(z - 182)*(z - 2)/2
Solve -4*j**3 - 1828*j**2 - 209760*j - 207936 = 0 for j.
-228, -1
Solve 52*f**4 - 388*f**3/3 + 316*f**2/3 - 92*f/3 + 8/3 = 0 for f.
2/13, 1/3, 1
What is k in 9*k**4 - 150*k**3 + 453*k**2 - 300*k - 156 = 0?
-1/3, 2, 13
Facto