35*r/4 + 237/2.
-(r - 2)*(r + 237)/4
Solve 3*s**3 - 27*s**2 + 81*s - 81 = 0 for s.
3
Factor 3*d**4 + 15*d**3 - 9*d**2 - 39*d + 30.
3*(d - 1)**2*(d + 2)*(d + 5)
Suppose -5*s**5 + 90*s**4 + 15*s**3 - 280*s**2 + 180*s = 0. What is s?
-2, 0, 1, 18
Solve -m**3 - 103*m**2 - 2600*m + 2704 = 0 for m.
-52, 1
Factor -x**4/4 + 483*x**3 - 3861*x**2/4 + 965*x/2.
-x*(x - 1930)*(x - 1)**2/4
Factor -2*h**4 - 6*h**3 + 144*h**2 - 352*h.
-2*h*(h - 4)**2*(h + 11)
Factor v**5/4 - 5*v**4/4 - 5*v**3/4 + 25*v**2/4 + 10*v + 4.
(v - 4)**2*(v + 1)**3/4
Solve 3*g**3/5 + 93*g**2/5 = 0.
-31, 0
Solve 4*j**2 - 7032*j - 14080 = 0.
-2, 1760
Find p, given that -2*p**4/7 + 850*p**3/7 - 89028*p**2/7 - 273064*p/7 - 183184/7 = 0.
-2, -1, 214
Find w, given that 2*w**3/15 + 94*w**2/15 + 88*w/15 - 184/15 = 0.
-46, -2, 1
Let h**2/4 - 151*h/2 + 22801/4 = 0. Calculate h.
151
Factor -5*v**5 + 4620*v**4 - 1600830*v**3 + 246527820*v**2 - 14236981605*v.
-5*v*(v - 231)**4
Factor -3*x**4 - 24*x**3 + 33*x**2 + 54*x.
-3*x*(x - 2)*(x + 1)*(x + 9)
Factor 2*w**2/15 + 38*w/15 + 28/3.
2*(w + 5)*(w + 14)/15
Solve -4*n**4/3 - 5920*n**3/3 - 2184472*n**2/3 + 1462240*n - 732108 = 0 for n.
-741, 1
Solve 6*c**3/13 + 1060*c**2/13 + 704*c/13 = 0.
-176, -2/3, 0
Solve -4*u**5/7 - 24*u**4/7 - 20*u**3/7 = 0 for u.
-5, -1, 0
Find z, given that -3*z**3/2 + 15*z**2/2 - 12*z + 6 = 0.
1, 2
Factor -3*u**3 - 93*u**2 - 90*u.
-3*u*(u + 1)*(u + 30)
Suppose -9*q**4 + 237*q**3 - 2025*q**2 + 5103*q + 4374 = 0. What is q?
-2/3, 9
Factor -2*g**3/11 + 10*g**2/11 + 64*g/11 + 72/11.
-2*(g - 9)*(g + 2)**2/11
Find k, given that 4*k**4 + 24*k**3 + 4*k**2 - 96*k + 64 = 0.
-4, 1
Factor -242*f**4/7 - 880*f**3/7 - 624*f**2/7 + 320*f/7 - 32/7.
-2*(f + 2)**2*(11*f - 2)**2/7
Factor -r**4/7 - 15*r**3/7 + 27*r**2 - 621*r/7 + 648/7.
-(r - 3)**3*(r + 24)/7
Suppose -2*b**2/5 + 8*b/5 = 0. What is b?
0, 4
Factor 3*d**4/7 + 6*d**3/7 - 108*d**2 + 5832*d/7 - 12960/7.
3*(d - 6)**3*(d + 20)/7
Suppose 3*g**3 + 192*g**2 - 393*g + 198 = 0. What is g?
-66, 1
Determine x, given that -x**3 - 11*x**2/2 - 2*x + 5/2 = 0.
-5, -1, 1/2
Factor -2*j**3 - 1760*j**2 - 3514*j - 1756.
-2*(j + 1)**2*(j + 878)
Find l such that -8*l**4 + 940*l**3 + 1440*l**2 - 1420*l - 952 = 0.
-2, -1/2, 1, 119
Determine v so that -2*v**4 + 620*v**3 + 2504*v**2 + 2512*v = 0.
-2, 0, 314
Solve 20*d**5 + 24*d**4 - 148*d**3 - 24*d**2 + 128*d = 0 for d.
-16/5, -1, 0, 1, 2
Factor 4*n**3/7 - 1308*n**2/7 + 372*n - 1300/7.
4*(n - 325)*(n - 1)**2/7
Find v such that -4*v**5/5 + 56*v**4/5 - 256*v**3/5 + 472*v**2/5 - 76*v + 112/5 = 0.
1, 4, 7
Solve 2*l**2/7 - 30200*l/7 + 114005000/7 = 0 for l.
7550
Suppose 2*b**4/3 - 68*b**3/3 - 128*b**2 - 84*b + 234 = 0. What is b?
-3, 1, 39
Find z such that 2*z**2/7 + 2*z/7 = 0.
-1, 0
Suppose 3*l**4 + 24*l**3 - 81*l**2 - 486*l + 1296 = 0. What is l?
-8, -6, 3
Factor 363*z**4 - 396*z**3 + 108*z**2.
3*z**2*(11*z - 6)**2
Solve -2*m**4/5 - 26*m**3/5 + 164*m**2/5 - 56*m + 144/5 = 0.
-18, 1, 2
Factor 5*r**2 - 2530*r + 320045.
5*(r - 253)**2
Factor -35*b**2 + 655*b + 190.
-5*(b - 19)*(7*b + 2)
Find b such that 8*b**4 - 44*b**3 + 64*b**2 - 4*b - 24 = 0.
-1/2, 1, 2, 3
Determine i, given that -11*i**2/4 + 65*i/4 + 21 = 0.
-12/11, 7
Factor v**2/7 + v/7 - 2/7.
(v - 1)*(v + 2)/7
Let y**5 - y**4 - 13*y**3 + y**2 + 48*y + 36 = 0. Calculate y.
-2, -1, 3
Factor -938*p**3/17 + 3756*p**2/17 - 3768*p/17 + 16/17.
-2*(p - 2)**2*(469*p - 2)/17
Solve -k**2/9 - 37*k/9 = 0.
-37, 0
Factor -2*y**3/3 - 240*y**2 - 21600*y.
-2*y*(y + 180)**2/3
Suppose 4*i**3 - 12*i**2 - 216*i = 0. Calculate i.
-6, 0, 9
Solve -9*g**5/7 - 31*g**4/7 + 142*g**3/7 - 4*g**2/7 - 24*g = 0 for g.
-6, -1, 0, 14/9, 2
What is l in -l**2/3 - 7*l - 20/3 = 0?
-20, -1
Factor -i**2/4 - 53*i/4 - 13.
-(i + 1)*(i + 52)/4
Suppose 2*s**4/5 - 6*s**3/5 + 6*s**2/5 - 2*s/5 = 0. Calculate s.
0, 1
Suppose -z**3 - 41*z**2 + 274*z - 376 = 0. What is z?
-47, 2, 4
Find o, given that o**3/7 - 4*o**2/7 = 0.
0, 4
Factor -6*g**2 - 2481*g - 3708.
-3*(g + 412)*(2*g + 3)
What is b in -36*b**4 + 260*b**3 - 596*b**2 + 444*b - 72 = 0?
2/9, 1, 3
Determine c, given that 18*c**4 + 489*c**3 + 1374*c**2 + 135*c - 216 = 0.
-24, -3, -1/2, 1/3
Factor 2*p**3/5 + 766*p**2/5 + 1518*p/5 - 2286/5.
2*(p - 1)*(p + 3)*(p + 381)/5
What is d in 2*d**2/21 + 1426*d/21 = 0?
-713, 0
Determine f so that f**4/4 - 13*f**3/4 - 141*f**2/4 + 13*f/4 + 35 = 0.
-7, -1, 1, 20
Factor 2*h**4 - 210*h**3 + 2106*h**2 - 3590*h + 1692.
2*(h - 94)*(h - 9)*(h - 1)**2
Find b, given that b**2 - 61*b = 0.
0, 61
Find t, given that t**3/3 - 11*t**2/3 + 13*t - 15 = 0.
3, 5
Suppose 2*y**5/17 + 388*y**4/17 + 25346*y**3/17 + 573824*y**2/17 + 1073152*y/17 + 524288/17 = 0. Calculate y.
-64, -1
Solve -2*a**3/9 - 34*a**2/9 + 40*a/9 + 8 = 0 for a.
-18, -1, 2
Factor 4*r**2/3 - 292*r - 880/3.
4*(r - 220)*(r + 1)/3
Let -3*o**2 - 96*o + 99 = 0. Calculate o.
-33, 1
Suppose -35*k**5 - 2020*k**4 - 3375*k**3 - 830*k**2 + 560*k = 0. What is k?
-56, -1, 0, 2/7
Let -2*q**3/7 - 100*q**2/7 - 1144*q/7 + 2704/7 = 0. Calculate q.
-26, 2
What is r in -r**5/9 + r**4/3 + 13*r**3/9 - 7*r**2/9 - 4*r - 20/9 = 0?
-2, -1, 2, 5
Find l such that -l**3/2 - 29*l**2/2 - 55*l/2 - 27/2 = 0.
-27, -1
Factor c**5 - 7*c**4 + 6*c**3.
c**3*(c - 6)*(c - 1)
Suppose -20*f**4 - 48*f**3 + 64*f**2 + 192*f + 64 = 0. What is f?
-2, -2/5, 2
Factor 4*t**3 - 20*t**2 - 336*t.
4*t*(t - 12)*(t + 7)
What is i in -2*i**5/11 + 10*i**4/11 - 6*i**3/11 - 18*i**2/11 = 0?
-1, 0, 3
Factor 3*q**2 - 27*q + 42.
3*(q - 7)*(q - 2)
Solve 12*o**4 + 76*o**3 - 56*o**2 = 0 for o.
-7, 0, 2/3
Find m, given that 4*m**3 - 256*m**2 - 524*m - 264 = 0.
-1, 66
Find p, given that 2*p**2 + 3672*p + 1685448 = 0.
-918
Factor -a**2/3 + 26*a/3 - 25/3.
-(a - 25)*(a - 1)/3
Factor 5*x**4 + 5*x**3 - 20*x**2 - 20*x.
5*x*(x - 2)*(x + 1)*(x + 2)
Suppose 4*f**3 + 7*f**2/2 - f/2 = 0. What is f?
-1, 0, 1/8
Factor -2*q**2 + 60*q.
-2*q*(q - 30)
Suppose -22*b**3 + 47*b**2/2 + 85*b/2 - 3 = 0. Calculate b.
-1, 3/44, 2
Factor 4*d**3 - 348*d**2 + 10092*d - 97556.
4*(d - 29)**3
Let -f**3 - 13*f**2 + f + 13 = 0. Calculate f.
-13, -1, 1
Factor -v**3/9 - v**2 + 55*v/3 - 475/9.
-(v - 5)**2*(v + 19)/9
Let h**2/3 - 1414*h/3 + 499849/3 = 0. What is h?
707
Factor -3*l**2 + 6*l + 24.
-3*(l - 4)*(l + 2)
Factor -2*n**2 + 112*n + 354.
-2*(n - 59)*(n + 3)
Factor 64*t**4 - 204*t**3 + 228*t**2 - 100*t + 12.
4*(t - 1)**3*(16*t - 3)
Find d such that 7*d**3 - 240*d**2 - 436*d + 144 = 0.
-2, 2/7, 36
Find r such that -8*r**2/9 - 34*r/3 - 8 = 0.
-12, -3/4
Determine n, given that 2*n**2 - 84*n + 882 = 0.
21
Factor 2*v**3/7 + 36*v**2 + 1134*v.
2*v*(v + 63)**2/7
Find v such that 2*v**2/15 + 12272*v/15 + 18825248/15 = 0.
-3068
Factor 2*a**2/3 - 18368*a/3 + 42172928/3.
2*(a - 4592)**2/3
Factor b**5/3 - 4*b**4/3 - 4*b**3.
b**3*(b - 6)*(b + 2)/3
Determine z so that 2*z**4 + 22*z**3 + 14*z**2 - 294*z = 0.
-7, 0, 3
What is q in 3*q**2 + 3744*q + 1168128 = 0?
-624
Factor -2*g**3 + 2*g.
-2*g*(g - 1)*(g + 1)
Factor 3*i**2/7 - 39*i/7 - 342/7.
3*(i - 19)*(i + 6)/7
Find y, given that 2*y**2/11 + 2*y + 60/11 = 0.
-6, -5
Suppose m**3 - 127*m**2 - 932*m - 804 = 0. Calculate m.
-6, -1, 134
Factor a**2/2 - 2694*a + 3628818.
(a - 2694)**2/2
Solve 2*v**4/5 + 132*v**3/5 + 126*v**2/5 - 52*v = 0 for v.
-65, -2, 0, 1
Determine w, given that -4*w**3 - 332*w**2 - 7052*w - 6724 = 0.
-41, -1
Factor -r**4/5 + 6*r**3 + 133*r**2/5 + 102*r/5.
-r*(r - 34)*(r + 1)*(r + 3)/5
Factor -4*q**3/3 - 28*q**2/3 - 44*q/3 - 20/3.
-4*(q + 1)**2*(q + 5)/3
Solve 3*o**3 - 20*o**2 + 39*o - 18 = 0.
2/3, 3
Let 5*o**3 + 60*o**2 + 45*o - 110 = 0. What is o?
-11, -2, 1
Determine s, given that 15123*s**5 - 15975*s**4 - 74751*s**3 - 41121*s**2 + 2496*s - 36 = 0.
-1, 2/71, 3
Find g, given that 5*g**3/3 - 120*g**2 + 2275*g/3 = 0.
0, 7, 65
Factor -2*d**3/11 - 94*d**2/11 - 180*d/11.
-2*d*(d + 2)*(d + 45)/11
Suppose 2*a**5/9 - 4*a**4/3 + 2*a**3 + 8*a**2/9 - 8*a/3 = 0. What is a?
-1, 0, 2, 3
Solve -11*d**5 + 211*d**4 - 27*d**3 - 211*d**2 + 38*d = 0.
-1, 0, 2/11, 1, 19
Factor 3*w**2/4 - 855*w/4 - 861/2.
3*(w - 287)*(w + 2)/4
Solve -3*p**4 - 144*p**3 - 2199*p**2 - 8874*p + 27744 = 0.
-17, -16, 2
Suppose 5*p**2 + 65*p - 4140 = 0. What is p?
-36, 23
Factor -2*d**3/9 + 38*d**2/9 - 128*d/9 + 40/3.
-2*(d - 15)*(d - 2)**2/9
Determine v so that 2*v**4 - 40*v**3/3 + 62*v**2/3 + 20*v - 48 = 0.
-4/3,