x**2 - 26*x - 6.
-2*(x + 1)**4*(x + 3)
Determine g, given that -2*g**3 + 16*g**2 - 38*g + 24 = 0.
1, 3, 4
Find i such that -3*i**4 + 9*i**3 - 6*i**2 = 0.
0, 1, 2
Suppose 3*o**2/2 + 18*o - 1680 = 0. What is o?
-40, 28
Suppose -2*d**4 + 18*d**3 - 26*d**2 - 18*d + 28 = 0. What is d?
-1, 1, 2, 7
Let 5*z**4 + 60*z**3 + 55*z**2 = 0. What is z?
-11, -1, 0
Determine p, given that -3*p**2 + 123*p + 258 = 0.
-2, 43
Solve 2*f**4/9 + 34*f**3/9 - 38*f**2/9 - 34*f/9 + 4 = 0 for f.
-18, -1, 1
Suppose -2*w**2/23 + 16*w/23 + 66/23 = 0. What is w?
-3, 11
Solve -14*a**5 - 122*a**4 - 342*a**3 - 326*a**2 - 44*a + 48 = 0.
-4, -3, -1, 2/7
Determine v so that -3*v**5 + 774*v**4 - 49128*v**3 - 104496*v**2 + 196560*v + 405600 = 0.
-2, 2, 130
Determine w, given that -w**5 + 6*w**4 - 3*w**3 - 10*w**2 = 0.
-1, 0, 2, 5
Factor 2*b**3/15 - 26*b**2/15 - 28*b/15.
2*b*(b - 14)*(b + 1)/15
Determine t, given that 4*t**3 + 4*t**2 - 4*t - 4 = 0.
-1, 1
Factor -3*g**3 + 312*g**2.
-3*g**2*(g - 104)
Factor -4*s**2/3 - 84*s.
-4*s*(s + 63)/3
Determine i so that i**5/4 + i**4/4 - 3*i**3/4 - i**2/4 + i/2 = 0.
-2, -1, 0, 1
Let -z**3/4 + 13*z**2/4 + 43*z/2 + 18 = 0. Calculate z.
-4, -1, 18
Suppose -12*u**3 - 320*u**2 - 1716*u + 608 = 0. Calculate u.
-19, -8, 1/3
Factor 5*d**3 + 35*d**2 + 30*d.
5*d*(d + 1)*(d + 6)
Determine t, given that -t**2/4 - 73*t/2 + 447/4 = 0.
-149, 3
Factor -3*y**4 - 84*y**3 - 666*y**2 - 1092*y - 507.
-3*(y + 1)**2*(y + 13)**2
Factor -2*w**4/3 + 2*w**3 + 16*w**2 + 56*w/3.
-2*w*(w - 7)*(w + 2)**2/3
Let a**3/4 + 15*a**2/2 + 48*a - 128 = 0. What is a?
-16, 2
What is d in 338*d**4/7 + 15782*d**3/7 + 1524*d**2 - 4408*d/7 + 368/7 = 0?
-46, -1, 2/13
Find v such that v**3 - 13*v**2 + 12*v = 0.
0, 1, 12
Let 2*x**2/11 + 52*x - 574/11 = 0. Calculate x.
-287, 1
Solve 7*o**2/4 + o/8 - 13/8 = 0 for o.
-1, 13/14
Factor -10*s**2 + 462*s/5 - 108/5.
-2*(s - 9)*(25*s - 6)/5
Factor 99*m**3 + 105*m**2 + 6*m.
3*m*(m + 1)*(33*m + 2)
Solve 3*s**5 + 51*s**4 - 9*s**3 - 159*s**2 - 102*s = 0.
-17, -1, 0, 2
Factor -3*p**4 - 12*p**3 - 9*p**2.
-3*p**2*(p + 1)*(p + 3)
What is u in -u**5/9 - u**4/9 + 8*u**3/3 - 4*u**2/9 - 160*u/9 + 64/3 = 0?
-4, 2, 3
Suppose w**4/4 - 11*w**3/2 - 45*w**2 + 1134*w = 0. What is w?
-14, 0, 18
Solve -f**4/3 - 7*f**3 - 45*f**2 - 117*f - 108 = 0 for f.
-12, -3
Let -b**5/8 - 13*b**4/2 + b**3/4 + 13*b**2 - b/8 - 13/2 = 0. What is b?
-52, -1, 1
Suppose -2401*m**5 - 391020*m**4 + 448840*m**3 - 192640*m**2 + 36720*m - 2624 = 0. What is m?
-164, 2/7
Let -3*y**4/2 - 15*y**3/2 - 12*y**2 - 6*y = 0. Calculate y.
-2, -1, 0
Factor -b**3/3 + 4*b**2/3 + 16*b/3 - 64/3.
-(b - 4)**2*(b + 4)/3
Find c such that -33*c**3 - 1519*c**2 - 1538*c - 360 = 0.
-45, -2/3, -4/11
Factor -3*c**2 + 366*c - 363.
-3*(c - 121)*(c - 1)
Factor 2*q**3/5 - 82*q**2/5 + 156*q/5.
2*q*(q - 39)*(q - 2)/5
Let -78*o**5/7 - 64*o**4/7 - 8*o**3/7 = 0. What is o?
-2/3, -2/13, 0
Let -2*t**2/3 + 1556*t/3 + 1558/3 = 0. Calculate t.
-1, 779
Let k**4/4 + 17*k**3 - 75*k**2/4 - 207*k/2 = 0. What is k?
-69, -2, 0, 3
Determine a, given that a**4/2 - 31*a**3 + 660*a**2 - 5200*a + 8000 = 0.
2, 20
Determine h, given that h**3/3 + 50*h**2/3 + 73*h - 90 = 0.
-45, -6, 1
Factor y**5 - y**4 - y**3 + y**2.
y**2*(y - 1)**2*(y + 1)
Let -4*v**2 + 7*v + 2 = 0. Calculate v.
-1/4, 2
Let -r**3 + 15*r**2 - 48*r - 64 = 0. What is r?
-1, 8
Let -2*m**5 - 22*m**4 - 44*m**3 + 120*m**2 + 144*m = 0. What is m?
-6, -1, 0, 2
Let -2*f**3 + 164*f**2 - 3192*f - 7056 = 0. Calculate f.
-2, 42
Let 2*v**3/5 - 392*v**2/5 + 78*v = 0. What is v?
0, 1, 195
What is t in 3*t**3 + 39*t**2 + 90*t = 0?
-10, -3, 0
Determine x so that -4*x**2 - 28832*x = 0.
-7208, 0
Determine m so that 2*m**3 - 511*m**2 - 1810*m - 777 = 0.
-3, -1/2, 259
Determine x so that -2*x**3/9 + 90*x**2 - 12150*x + 546750 = 0.
135
Determine i so that -22*i**5/3 + 136*i**4/3 - 2*i**3/3 - 136*i**2/3 + 8*i = 0.
-1, 0, 2/11, 1, 6
Suppose -3*r**3 - 195*r**2 + 198*r = 0. Calculate r.
-66, 0, 1
Factor -2*m**2/9 - 496*m/3 - 1486/9.
-2*(m + 1)*(m + 743)/9
Determine g so that 4*g**2 + 43376*g + 117592336 = 0.
-5422
Factor 2*n**3/5 - 28*n**2/5 + 42*n/5 + 72/5.
2*(n - 12)*(n - 3)*(n + 1)/5
Factor 5*y**5 - 35*y**4 - 135*y**3 - 145*y**2 - 50*y.
5*y*(y - 10)*(y + 1)**3
Factor 5*o**2/2 + 7940*o.
5*o*(o + 3176)/2
Suppose -4*f**3 + 51*f**2/2 - 9*f = 0. Calculate f.
0, 3/8, 6
Factor -3*u**3/7 - 642*u**2/7 - 633*u/7 + 1278/7.
-3*(u - 1)*(u + 2)*(u + 213)/7
Find u, given that -4*u**5 - 144*u**4 - 1616*u**3 - 5256*u**2 + 1620*u + 5400 = 0.
-15, -6, -1, 1
Factor -z**3/3 + 2*z**2 - 3*z + 4/3.
-(z - 4)*(z - 1)**2/3
Factor 2*h**3 - 52*h**2 + 384*h - 576.
2*(h - 12)**2*(h - 2)
Factor 5*p**2 + 850*p + 1680.
5*(p + 2)*(p + 168)
Find q, given that -2*q**5/3 + 22*q**4 - 258*q**3 + 1314*q**2 - 3024*q + 2592 = 0.
3, 12
Factor 4*m**3/7 - 380*m**2/7 - 384*m/7.
4*m*(m - 96)*(m + 1)/7
Let -6*l**5/5 - 14*l**4/15 + 22*l**3/15 + 14*l**2/15 - 4*l/15 = 0. What is l?
-1, 0, 2/9, 1
Solve 26*j**3/7 - 48*j**2/7 - 8*j/7 = 0 for j.
-2/13, 0, 2
Suppose 2*u**4/3 + 8*u**3/3 - 2*u**2/3 - 8*u/3 = 0. What is u?
-4, -1, 0, 1
Determine l, given that 4*l**5 + 24*l**4 - 40*l**3 - 80*l**2 + 36*l + 56 = 0.
-7, -1, 1, 2
Factor 3*s**2/5 + 132*s/5 - 363.
3*(s - 11)*(s + 55)/5
Solve 11*f**2/3 - 796*f/3 + 96 = 0 for f.
4/11, 72
Suppose 2*j**2 - 448*j + 25088 = 0. Calculate j.
112
Factor -4*i**5 + 8240*i**4 - 4243600*i**3.
-4*i**3*(i - 1030)**2
Let -3*x**4/8 - 639*x**3/8 - 1899*x**2/8 - 1893*x/8 - 315/4 = 0. Calculate x.
-210, -1
Suppose -6*s**3 - 61*s**2 - 160*s - 25 = 0. Calculate s.
-5, -1/6
Factor -4*x**3 + 504*x**2 - 7296*x + 28160.
-4*(x - 110)*(x - 8)**2
Determine u so that -9*u**5 - 48*u**4 - 78*u**3 - 48*u**2 - 9*u = 0.
-3, -1, -1/3, 0
Solve -4*v**4 + 48*v**3 + 368*v**2 - 1920*v + 2048 = 0.
-8, 2, 16
What is n in 24*n**5 + 292*n**4 + 1124*n**3 + 1528*n**2 + 672*n = 0?
-6, -4, -7/6, -1, 0
Determine t so that 2*t**5/7 - 74*t**4/7 - 402*t**3/7 - 106*t**2 - 584*t/7 - 24 = 0.
-2, -1, 42
Factor b**4 - 8*b**3 + 23*b**2 - 28*b + 12.
(b - 3)*(b - 2)**2*(b - 1)
Factor -2*x**2/9 + 2*x/3 + 8/9.
-2*(x - 4)*(x + 1)/9
Determine k so that -k**5/2 - 19*k**4/2 + k**3/2 + 19*k**2/2 = 0.
-19, -1, 0, 1
Factor -j**3 + 83*j**2 + 344*j + 348.
-(j - 87)*(j + 2)**2
Let d**3 + 342*d**2 + 681*d + 340 = 0. What is d?
-340, -1
Determine s so that 2*s**2/15 - 8*s/3 + 38/15 = 0.
1, 19
Factor 2*u**3/7 - 40*u**2/7 + 136*u/7 - 128/7.
2*(u - 16)*(u - 2)**2/7
Determine g so that 4*g**3/7 - 36*g**2/7 + 80*g/7 - 48/7 = 0.
1, 2, 6
Suppose b**2/4 - 3*b/4 - 1 = 0. Calculate b.
-1, 4
Factor 18*w**2 + 21*w + 3.
3*(w + 1)*(6*w + 1)
Factor -2*k**3/9 + 2*k**2/3 + 8*k/9 - 8/3.
-2*(k - 3)*(k - 2)*(k + 2)/9
Determine x so that -x**2/2 + 850*x - 361250 = 0.
850
Factor 2*j**4 + 260*j**3 - 264*j**2 - 260*j + 262.
2*(j - 1)**2*(j + 1)*(j + 131)
Let 2*y**5/7 - 2*y**4/7 - 6*y**3/7 + 2*y**2/7 + 4*y/7 = 0. What is y?
-1, 0, 1, 2
Factor 3*k**2 - 42*k - 45.
3*(k - 15)*(k + 1)
Factor -4*x**2/3 - 1129*x/3 - 94.
-(x + 282)*(4*x + 1)/3
Solve -216*d**2 + 3*d = 0 for d.
0, 1/72
Factor 4*l**2 + 8*l - 32.
4*(l - 2)*(l + 4)
Factor -2*a**4 - 2*a**3 + 2*a**2 + 2*a.
-2*a*(a - 1)*(a + 1)**2
Determine h, given that -5*h**3 + 205*h**2 - 2375*h + 5415 = 0.
3, 19
Factor -2*h**2/9 - 274*h/3.
-2*h*(h + 411)/9
Factor 2601*t**3/2 + 3723*t**2/2 + 495*t/2 - 675/2.
3*(3*t - 1)*(17*t + 15)**2/2
Factor 5*p**2 + 2780*p + 2775.
5*(p + 1)*(p + 555)
Suppose 3*s**3 + 957*s**2 + 71832*s - 726192 = 0. Calculate s.
-164, 9
Factor 2*q**5/3 - 58*q**4/3 - 122*q**3/3 - 62*q**2/3.
2*q**2*(q - 31)*(q + 1)**2/3
Factor -4*m**2 + 24*m - 32.
-4*(m - 4)*(m - 2)
Suppose 2*n**3 + 6*n**2 - 2*n - 6 = 0. What is n?
-3, -1, 1
Find i, given that -2*i**5 + 15*i**4 - 26*i**3 + 3*i**2 + 10*i = 0.
-1/2, 0, 1, 2, 5
Find c, given that 2*c**4/3 - 76*c**3/9 - 50*c**2/9 + 304*c/9 + 104/9 = 0.
-2, -1/3, 2, 13
Find k, given that -2*k**5 + 6*k**3 - 4*k**2 = 0.
-2, 0, 1
Suppose 50*d**5 + 685*d**4 - 260*d**3 - 685*d**2 + 210*d = 0. What is d?
-14, -1, 0, 3/10, 1
Let -4*f**3 - 660*f**2 - 36300*f - 665500 = 0. Calculate f.
-55
Factor -4*g**3 - 112*g**2 - 108*g.
-4*g*(g + 1)*(g + 27)
Factor -2*l**3 - 4746*l**2 - 3754086*l - 989827342.
-2*(l + 791)**3
Factor -2*l**3/5 + 1084*l**2 - 3677464*l/5 + 7333264/5.
-2*(l - 1354)**2*(l - 2)/5
Determine v so that v**5/6 - 19*v**4/6 + 11*v**3/