e i.
-1309, -2, -1, 0
Factor 2*w**2/7 - 194*w/7 - 28.
2*(w - 98)*(w + 1)/7
Factor 2*d**5/7 + 2*d**4/7 - 10*d**3/7 + 6*d**2/7.
2*d**2*(d - 1)**2*(d + 3)/7
Solve -3*t**5/5 + 114*t**4/5 - 219*t**3/5 + 108*t**2/5 = 0 for t.
0, 1, 36
Let 38*t**3/9 - 188*t**2/9 - 238*t/9 - 4/3 = 0. What is t?
-1, -1/19, 6
Factor 8*s**3 + 698*s**2 + 1534*s + 340.
2*(s + 2)*(s + 85)*(4*s + 1)
Suppose 5*o**4 - 690*o**3 + 23805*o**2 = 0. What is o?
0, 69
Find o such that -35*o**3 + 10140*o**2 + 2900*o = 0.
-2/7, 0, 290
Suppose 3*z**4 - 237*z**3 + 4305*z**2 + 15129*z = 0. What is z?
-3, 0, 41
Factor c**3/7 - 3*c**2/7 - 36*c/7 - 32/7.
(c - 8)*(c + 1)*(c + 4)/7
Find q such that 261*q**5 - 2604*q**4 + 8553*q**3 - 11286*q**2 + 4956*q + 120 = 0.
-2/87, 1, 2, 5
Find a, given that -4*a**2 + 152*a - 288 = 0.
2, 36
Let 5*x**4 - 612*x**3 - 371*x**2 + 246*x = 0. Calculate x.
-1, 0, 2/5, 123
Suppose -2*k**3 - 24*k**2 - 22*k + 336 = 0. Calculate k.
-8, -7, 3
Factor 5*d**2 - 340*d + 975.
5*(d - 65)*(d - 3)
Suppose 18*n**2 - 2*n = 0. Calculate n.
0, 1/9
Suppose -5*q**2 + 6930*q + 13880 = 0. Calculate q.
-2, 1388
Factor x**3/4 + 123*x**2/4 + 243*x/4 + 121/4.
(x + 1)**2*(x + 121)/4
Factor 4*m**2 - 2688*m + 451584.
4*(m - 336)**2
Suppose -4*o**5/7 - 32*o**4/7 - 8*o**3 + 80*o**2/7 + 156*o/7 - 144/7 = 0. What is o?
-4, -3, 1
Factor 2*w**5/7 - 38*w**4/7 + 132*w**3/7 - 188*w**2/7 + 122*w/7 - 30/7.
2*(w - 15)*(w - 1)**4/7
Factor 2*w**2/3 + 1700*w/3 + 361250/3.
2*(w + 425)**2/3
Factor 4*h**4 + 32*h**3 + 80*h**2 + 64*h.
4*h*(h + 2)**2*(h + 4)
Solve -2*k**3/5 - 478*k**2/5 + 1936*k/5 - 1944/5 = 0 for k.
-243, 2
Solve -y**5/6 - y**4/6 + 13*y**3/6 + 25*y**2/6 + 2*y = 0 for y.
-3, -1, 0, 4
Factor -3*s**3/7 + 81*s**2/7 + 12*s.
-3*s*(s - 28)*(s + 1)/7
Solve 21*o**3 + 309*o**2 - 117*o - 405 = 0.
-15, -1, 9/7
Determine j so that -2*j**2 + 127*j + 330 = 0.
-5/2, 66
Suppose 5*k**5 + 40*k**4 + 110*k**3 + 140*k**2 + 85*k + 20 = 0. Calculate k.
-4, -1
Factor 3*b**2/4 - 27*b/2.
3*b*(b - 18)/4
Determine x so that x**5/4 + 25*x**4 + 757*x**3 + 6608*x**2 + 18128*x + 15488 = 0.
-44, -8, -2
Factor 4*n**3 - 2744*n**2 + 473328*n - 935712.
4*(n - 342)**2*(n - 2)
Factor 2*n**3/3 + 20*n**2/3 - 26*n/3 - 44/3.
2*(n - 2)*(n + 1)*(n + 11)/3
Find b such that 44*b**4/5 + 146*b**3/5 + 126*b**2/5 + 16*b/5 - 8/5 = 0.
-2, -1, -1/2, 2/11
Factor 2*w**4 - 268*w**3 + 11880*w**2 - 170100*w - 182250.
2*(w - 45)**3*(w + 1)
Determine k, given that -5*k**2 + 700*k - 2055 = 0.
3, 137
Solve 3*n**3 + 858*n**2 + 855*n = 0.
-285, -1, 0
Solve -18*n**4 - 129*n**3 - 324*n**2 - 339*n - 126 = 0 for n.
-3, -2, -7/6, -1
Factor 3*k**4/2 - 15*k**3/2 + 9*k**2.
3*k**2*(k - 3)*(k - 2)/2
Find h, given that -35*h**5 + 120*h**4 - 115*h**3 + 30*h**2 = 0.
0, 3/7, 1, 2
Factor -4*o**4 - 308*o**3 + 4*o**2 + 308*o.
-4*o*(o - 1)*(o + 1)*(o + 77)
Solve -2*t**5 + 12*t**4 + 32*t**3 = 0 for t.
-2, 0, 8
Solve -3*t**3 - 579*t**2 - 2280*t - 2268 = 0.
-189, -2
Suppose -4*y**3/3 + 16*y**2/3 + 44*y/3 - 40 = 0. Calculate y.
-3, 2, 5
Factor 81*k**2/4 - 63*k + 49.
(9*k - 14)**2/4
Factor 2*m**3 + 24*m**2 - 378*m.
2*m*(m - 9)*(m + 21)
Solve -3*m**2/8 + 9*m/4 = 0.
0, 6
What is l in -l**4/5 - 14*l**3/5 + 339*l**2/5 + 716*l/5 + 364/5 = 0?
-26, -1, 14
Let 4*s**5/7 - 2*s**4/7 - 18*s**3/7 + 2*s**2 + 2*s - 12/7 = 0. What is s?
-2, -1, 1, 3/2
Factor 3*d**2 + 54*d - 120.
3*(d - 2)*(d + 20)
Suppose 2*x**5/7 + 2*x**4/7 - 10*x**3 + 110*x**2/7 + 68*x/7 - 16 = 0. What is x?
-7, -1, 1, 2, 4
Factor -2*h**3 + 16*h**2 + 96*h.
-2*h*(h - 12)*(h + 4)
Factor b**4/7 - 60*b**3/7 + 1150*b**2/7 - 7500*b/7 + 15625/7.
(b - 25)**2*(b - 5)**2/7
Suppose -3*f**3 - 129*f**2 + 1872*f - 5940 = 0. What is f?
-55, 6
Factor -3*p**5 - 33*p**4 + 75*p**3 - 39*p**2.
-3*p**2*(p - 1)**2*(p + 13)
Factor -3*j**4/7 + 6*j**3/7 + 27*j**2/7 - 54*j/7.
-3*j*(j - 3)*(j - 2)*(j + 3)/7
Factor 2*t**3 + 88*t**2 - 184*t.
2*t*(t - 2)*(t + 46)
Find n, given that 36*n**2 - 722*n + 40 = 0.
1/18, 20
Let -242*k**2/7 + 264*k/7 - 72/7 = 0. Calculate k.
6/11
Determine j, given that 5*j**2/7 + j/7 = 0.
-1/5, 0
Let 5*t**2 - 2100*t + 2095 = 0. What is t?
1, 419
Find z such that 2*z**4/9 - 148*z**3/9 - 2726*z**2/9 - 13664*z/9 - 1960 = 0.
-7, -2, 90
Factor -3*o**2 - 201*o - 1848.
-3*(o + 11)*(o + 56)
Find f, given that -3*f**5 - 27*f**4 + 243*f**3 - 393*f**2 + 180*f = 0.
-15, 0, 1, 4
Factor -4*k**3 - 28*k**2 + 368*k - 336.
-4*(k - 6)*(k - 1)*(k + 14)
Solve 2*s**4/15 - 176*s**3/15 + 572*s**2/3 + 46256*s/15 + 14406/5 = 0 for s.
-9, -1, 49
Factor -5*d**5 - 35*d**4 - 30*d**3.
-5*d**3*(d + 1)*(d + 6)
Find l such that l**5/8 - 167*l**4/8 - 525*l**3/2 - 1066*l**2 - 1432*l = 0.
-4, 0, 179
Suppose 5*c**4/2 - 25*c**3 - 195*c**2/2 - 10*c + 130 = 0. What is c?
-2, 1, 13
Determine u so that -2*u**2 - 271*u + 136 = 0.
-136, 1/2
Suppose 2*g**3/7 + 236*g**2/7 - 2270*g/7 + 2032/7 = 0. What is g?
-127, 1, 8
What is v in v**3/4 - 5*v**2/2 + 29*v/4 - 5 = 0?
1, 4, 5
Factor -25*t**3 + 510*t**2 - 2475*t + 910.
-5*(t - 13)*(t - 7)*(5*t - 2)
Suppose -2*k**5/5 + 26*k**4/5 - 76*k**3/5 + 28*k**2/5 + 78*k/5 - 54/5 = 0. Calculate k.
-1, 1, 3, 9
Determine j so that -65*j**5/3 - 15*j**4 + 215*j**3/3 + 5*j**2/3 - 50*j + 40/3 = 0.
-2, -1, 4/13, 1
Find w such that -2*w**4 - 80*w**3 - 1092*w**2 - 5408*w - 4394 = 0.
-13, -1
Factor -10*m**3/9 - 2*m**2/9 + 10*m/9 + 2/9.
-2*(m - 1)*(m + 1)*(5*m + 1)/9
Determine f so that -3*f**3 - 120*f**2 - 231*f - 114 = 0.
-38, -1
Factor -2*z**4 - 2*z**3 + 2*z**2 + 2*z.
-2*z*(z - 1)*(z + 1)**2
Factor 3*j**4/2 + 15*j**3 + 111*j**2/2 + 90*j + 54.
3*(j + 2)**2*(j + 3)**2/2
Solve -3*b**3 + 453*b**2 - 17325*b + 16875 = 0.
1, 75
Factor -2*r**2/7 - 6372*r/7 - 5075298/7.
-2*(r + 1593)**2/7
Determine c, given that 36*c**5/13 - 98*c**4/13 + 38*c**3/13 + 32*c**2/13 - 8*c/13 = 0.
-1/2, 0, 2/9, 1, 2
Solve 6*o**5/7 + 78*o**4/7 + 54*o**3/7 - 246*o**2/7 - 372*o/7 - 144/7 = 0.
-12, -1, 2
Factor 4*g**4 + 336*g**3 + 4392*g**2 + 17584*g + 13524.
4*(g + 1)*(g + 7)**2*(g + 69)
Factor n**3/5 + 44*n**2 + 13668*n/5 + 166464/5.
(n + 16)*(n + 102)**2/5
Factor -2*w**2/21 - 8*w/7 - 24/7.
-2*(w + 6)**2/21
Solve 2*p**3/9 - 2*p**2/9 - 10*p/9 - 2/3 = 0.
-1, 3
Solve -t**2/3 - 169*t/3 + 114 = 0.
-171, 2
Factor -r**2 + 11728*r - 34386496.
-(r - 5864)**2
Factor -2*f**2/9 - 844*f/3 - 89042.
-2*(f + 633)**2/9
Find f, given that 16*f**2/7 - 15236*f/7 + 544 = 0.
1/4, 952
Factor 2*w**4 - 428*w**3 - 864*w**2.
2*w**2*(w - 216)*(w + 2)
Factor a**3 + 8*a**2 + 11*a - 20.
(a - 1)*(a + 4)*(a + 5)
What is i in -4*i**4 - 704*i**3 - 2772*i**2 - 3448*i - 1376 = 0?
-172, -2, -1
Suppose -5*h**3 - 3635*h**2 + 7290*h = 0. Calculate h.
-729, 0, 2
Determine x, given that -40*x**5 - 330*x**4 - 175*x**3 + 1125*x**2 - 685*x + 105 = 0.
-7, -3, 1/4, 1/2, 1
Solve -j**4 - 21*j**3 - 112*j**2 - 204*j - 112 = 0.
-14, -4, -2, -1
Factor 2*m**4/5 - 6*m**3 + 166*m**2/5 - 402*m/5 + 72.
2*(m - 5)*(m - 4)*(m - 3)**2/5
Solve -5*s**3 + 80*s = 0.
-4, 0, 4
Factor -245*h**4 + 29225*h**3 - 8335*h**2 + 595*h.
-5*h*(h - 119)*(7*h - 1)**2
Determine t, given that -2*t**5/7 - 8*t**4/7 + 2*t**3/7 + 8*t**2/7 = 0.
-4, -1, 0, 1
Let 2*f**3 + 16*f**2 - 38*f + 20 = 0. Calculate f.
-10, 1
Determine u, given that -3*u**3 - 40*u**2 - 79*u - 22 = 0.
-11, -2, -1/3
Factor q**5/2 - 7*q**3/2 - 3*q**2.
q**2*(q - 3)*(q + 1)*(q + 2)/2
Determine b so that -3*b**3 + 9*b**2 + 12*b = 0.
-1, 0, 4
Factor -5*u**2 + 310*u.
-5*u*(u - 62)
Factor -d**5/7 + 5*d**4/7 - 8*d**3/7 + 4*d**2/7.
-d**2*(d - 2)**2*(d - 1)/7
Suppose -4*q**2 - 36*q - 72 = 0. Calculate q.
-6, -3
Solve 3*p**2 - 2151*p = 0 for p.
0, 717
Suppose 3*f**4 + 33*f**3 + 99*f**2 + 111*f + 42 = 0. Calculate f.
-7, -2, -1
Factor y**2/7 - 28*y + 1372.
(y - 98)**2/7
Find q, given that 4*q**3 - 348*q**2 + 7740*q - 7396 = 0.
1, 43
Factor -2*z**2/13 + 490*z/13 + 492/13.
-2*(z - 246)*(z + 1)/13
Find p such that -100*p**5/9 + 530*p**4/9 - 526*p**3/9 - 8*p**2/9 + 136*p/9 - 32/9 = 0.
-1/2, 2/5, 1, 4
Factor 5*x**4 - 385*x**3 + 6800*x**2 + 24000*x.
5*x*(x - 40)**2*(x + 3)
Factor -2*x**4 + 56*x**3 - 192*x**2.
-2*x**2*(x - 24)*(x - 4)
Determine t so that 3*t**5 + 24*t**4 - 195*t**3 - 1944*t**2 - 3888*t = 0.
-9, -4, 0, 9
Factor -4*u**2 - 212*u - 600.
-4*(u + 3)*(u + 50)
Let 4*v**2 + 424*v + 11236 = 0. Calculate v.
-53
Factor 4*c**3 - 20*c**2 + 12*c + 36.
4*(c - 3)**2*(c + 1)
Factor -2*s**2/9 - 154*s/9 + 332/3.
-2*(s -