+ 4*i**3/3 - i**2/9 - 4*i/3.
i*(i - 1)*(i + 1)*(i + 12)/9
Find w, given that -5*w**3 - 59*w**2/6 - 11*w/2 - 2/3 = 0.
-1, -4/5, -1/6
Suppose -2*z**4 + 8*z**3 + 26*z**2 - 8*z - 24 = 0. What is z?
-2, -1, 1, 6
Suppose -45*s**3 - 141*s**2 - 108*s - 12 = 0. What is s?
-2, -1, -2/15
Let -z**2/2 + 71*z - 5041/2 = 0. What is z?
71
Suppose a**4/4 - 73*a**3/4 - 231*a**2/2 - 235*a - 158 = 0. Calculate a.
-2, 79
Determine z so that 3*z**5 + 6*z**4 - 3*z**3 - 6*z**2 = 0.
-2, -1, 0, 1
Solve -13520*g**4 - 16640*g**3 - 6680*g**2 - 960*g - 45 = 0 for g.
-1/2, -3/26
Solve -3*j**4 - 120*j**3 - 1287*j**2 - 2226*j - 1056 = 0.
-22, -16, -1
Factor 70*b**3 - 92*b**2 - 88*b - 16.
2*(b - 2)*(5*b + 2)*(7*b + 2)
Factor -5*j**2 + 120*j + 125.
-5*(j - 25)*(j + 1)
Find l such that -2*l**4/19 - 86*l**3 - 447150*l**2/19 - 41567606*l/19 - 159220088/19 = 0.
-271, -4
Factor -4*f**4 - 64*f**3 + 139*f**2 - 89*f + 18.
-(f - 1)*(f + 18)*(2*f - 1)**2
Let b**2 + 104*b + 2704 = 0. What is b?
-52
Find t such that t**5/6 - 2*t**4 - 8*t**3/3 + 19*t**2/3 + 5*t/2 - 13/3 = 0.
-2, -1, 1, 13
Solve 7203*a**2 - 1176*a + 48 = 0.
4/49
Determine v, given that v**4/9 - v**2/9 = 0.
-1, 0, 1
Factor 5*n**3 - 5*n**2 - 50*n - 40.
5*(n - 4)*(n + 1)*(n + 2)
Suppose -3*v**5/2 - 237*v**4/2 - 225*v**3/2 + 705*v**2/2 + 114*v - 234 = 0. Calculate v.
-78, -2, -1, 1
Factor -3*o**2/5 - 201*o/5 - 198/5.
-3*(o + 1)*(o + 66)/5
Suppose -3*u**3/2 - 327*u**2 + 657*u/2 = 0. Calculate u.
-219, 0, 1
Factor 3*s**2 + 30*s + 48.
3*(s + 2)*(s + 8)
Factor -2*r**2/7 - 330*r/7 - 972/7.
-2*(r + 3)*(r + 162)/7
Suppose 5*x**5 - 50*x**4 + 115*x**3 + 50*x**2 - 120*x = 0. What is x?
-1, 0, 1, 4, 6
Let -5*h**3 + 40*h**2 - 85*h + 50 = 0. Calculate h.
1, 2, 5
Factor 2*x**3/9 + 44*x**2/3 - 184*x/3 + 560/9.
2*(x - 2)**2*(x + 70)/9
Find l, given that -2*l**2 - 494*l - 1464 = 0.
-244, -3
Factor -2*w**3/3 + 4*w**2 + 330*w + 6776/3.
-2*(w - 28)*(w + 11)**2/3
Determine w so that -8*w**4 - 310*w**3 + 78*w**2 = 0.
-39, 0, 1/4
What is d in 3*d**2 - 111*d + 480 = 0?
5, 32
Factor -o**3/2 - 39*o**2/2 - 124*o.
-o*(o + 8)*(o + 31)/2
Factor 4*f**2 + 204*f.
4*f*(f + 51)
Suppose 6*m**5/5 + 544*m**4/5 + 354*m**3/5 - 544*m**2/5 - 72*m = 0. Calculate m.
-90, -1, -2/3, 0, 1
Let 3*i**3 + 12*i**2 - 12*i - 48 = 0. What is i?
-4, -2, 2
Let 2*h**3 - 6*h**2 - 44*h + 48 = 0. Calculate h.
-4, 1, 6
Factor -2*s**3 - 190*s**2 + 196*s + 384.
-2*(s - 2)*(s + 1)*(s + 96)
Factor -3*g**5/5 - 138*g**4/5 - 1719*g**3/5 - 3036*g**2/5 - 1452*g/5.
-3*g*(g + 1)**2*(g + 22)**2/5
Factor z**2/3 + 58*z/3 - 59/3.
(z - 1)*(z + 59)/3
Find q, given that -4*q**4/5 + 4*q**3 - 24*q**2/5 = 0.
0, 2, 3
Factor -2*c**2 - 280*c - 9800.
-2*(c + 70)**2
Factor m**3/6 - 29*m**2/6 + 19*m + 24.
(m - 24)*(m - 6)*(m + 1)/6
Let -2*s**5/5 + 92*s**4/5 - 336*s**3/5 = 0. What is s?
0, 4, 42
Factor -3*y**3 - 114*y**2 + 2037*y - 7644.
-3*(y - 7)**2*(y + 52)
Solve 5*i**4 - 40*i**3 + 100*i**2 - 80*i = 0 for i.
0, 2, 4
Find o such that -2*o**5/3 + 4*o**4/9 + 8*o**3/9 - 4*o**2/9 - 2*o/9 = 0.
-1, -1/3, 0, 1
Factor -r**5 - r**4 + 30*r**3 - 76*r**2 + 56*r.
-r*(r - 2)**3*(r + 7)
Find m, given that -4*m**5/5 - 68*m**4/5 + 444*m**3/5 + 68*m**2/5 - 88*m = 0.
-22, -1, 0, 1, 5
What is a in -2*a**2/3 + 284*a/3 - 10082/3 = 0?
71
Factor 2*k**2/7 - 256*k/7 + 72.
2*(k - 126)*(k - 2)/7
What is w in w**2 - 28*w + 52 = 0?
2, 26
Factor 5*r**3 + 95*r**2 - 3400*r + 19500.
5*(r - 10)**2*(r + 39)
Factor 4*i**3 - 36*i.
4*i*(i - 3)*(i + 3)
Factor -a**3/3 + 29*a**2/3 - 104*a/3 + 100/3.
-(a - 25)*(a - 2)**2/3
Factor 3645*q**4 - 36990*q**3 + 96545*q**2 - 13700*q + 500.
5*(q - 5)**2*(27*q - 2)**2
Suppose 5*u**2 - 25*u - 250 = 0. Calculate u.
-5, 10
Factor -3*l**2/4 + 39*l/4 - 9.
-3*(l - 12)*(l - 1)/4
Solve 4*u**2/3 + 620*u/3 + 616/3 = 0 for u.
-154, -1
Let -6*w**3 + 37*w**2/2 + 21*w + 4 = 0. What is w?
-2/3, -1/4, 4
Factor 2*f**3/11 - 4*f**2/11 - 30*f/11.
2*f*(f - 5)*(f + 3)/11
What is r in -2*r**2/15 - 2608*r/15 - 850208/15 = 0?
-652
Solve 162*q**5 + 792*q**4 + 1418*q**3 + 1172*q**2 + 448*q + 64 = 0 for q.
-2, -1, -4/9
Find t such that 3*t**2/4 - 3*t/4 - 45/2 = 0.
-5, 6
What is m in 3*m**4 + 36*m**3 + 60*m**2 = 0?
-10, -2, 0
Find w such that 5*w**5/3 + 824*w**4 = 0.
-2472/5, 0
Let -27*m**5/5 - 63*m**4/5 + 537*m**3/5 - 333*m**2/5 + 54*m/5 = 0. Calculate m.
-6, 0, 1/3, 3
Factor c**3/5 - 11*c**2/5 + 18*c/5.
c*(c - 9)*(c - 2)/5
Factor -5*i**4 - 3340*i**3 + 6715*i**2 + 10050*i.
-5*i*(i - 3)*(i + 1)*(i + 670)
Factor -y**3 - 10209*y**2 - 34741227*y - 39408131827.
-(y + 3403)**3
Factor -5*n**3/2 - 753*n**2/2 + 151*n.
-n*(n + 151)*(5*n - 2)/2
Find h such that -10*h**5/3 - 15*h**4 + 55*h**3/3 + 145*h**2 + 105*h - 90 = 0.
-3, -2, 1/2, 3
Factor -3*m**3/5 + 528*m**2/5 + 213*m + 534/5.
-3*(m - 178)*(m + 1)**2/5
Suppose -f**4 + 73*f**3 - 1496*f**2 + 5780*f = 0. What is f?
0, 5, 34
Determine f so that f**2 - 390*f - 1179 = 0.
-3, 393
Determine s, given that -28*s**5 - 3884*s**4 + 1133*s**3 + 2920*s**2 + 137*s - 278 = 0.
-139, -1/2, 2/7, 1
Determine m so that 16*m**5/9 - 20*m**4/9 - 4*m**3/3 + 20*m**2/9 - 4*m/9 = 0.
-1, 0, 1/4, 1
Let 120*b**4 + 395*b**3 + 315*b**2 - 20*b - 60 = 0. What is b?
-2, -1, -2/3, 3/8
Factor y**3/4 - 5*y**2/4 + 7*y/4 - 3/4.
(y - 3)*(y - 1)**2/4
Factor -8*t**3/13 + 2*t**2 - 28*t/13 + 10/13.
-2*(t - 1)**2*(4*t - 5)/13
Determine k so that -2*k**3/5 + 1012*k**2/5 + 6126*k/5 + 9216/5 = 0.
-3, 512
Let -3*u**5 + 91*u**4 - 28*u**3 - 60*u**2 = 0. What is u?
-2/3, 0, 1, 30
Factor -3*q**4/8 + 9*q**3/8 - 3*q/2.
-3*q*(q - 2)**2*(q + 1)/8
Factor -4*f**3 + 2484*f**2 + 4980*f + 2492.
-4*(f - 623)*(f + 1)**2
Suppose 18*g**4 + 311*g**3 + 371*g**2 + 46*g - 32 = 0. What is g?
-16, -1, -1/2, 2/9
Factor -5*y**5 + 15*y**3 - 10*y**2.
-5*y**2*(y - 1)**2*(y + 2)
Let -3*o**2/10 - 409*o/10 - 68/5 = 0. Calculate o.
-136, -1/3
Factor 2*w**2/9 - 10*w/3 - 12.
2*(w - 18)*(w + 3)/9
Factor r**3 + 16*r**2 - 44*r - 144.
(r - 4)*(r + 2)*(r + 18)
Factor 3*t**2/5 + 294*t/5.
3*t*(t + 98)/5
Factor -243*j**4/7 + 39960*j**3/7 - 2532*j**2 + 1968*j/7.
-3*j*(j - 164)*(9*j - 2)**2/7
Let -3*h**5 + 3*h**4 + 387*h**3 + 1065*h**2 - 48*h - 1404 = 0. Calculate h.
-9, -2, 1, 13
Let 3*s**5 - 24*s**4 + 12*s**3 + 66*s**2 - 15*s - 42 = 0. What is s?
-1, 1, 2, 7
Factor i**2/2 + 29*i/2 + 14.
(i + 1)*(i + 28)/2
Find d such that 5*d**5/4 + 275*d**4/4 + 1400*d**3 + 12250*d**2 + 34300*d - 48020 = 0.
-14, 1
Solve 4*x**2 + 32*x - 80 = 0 for x.
-10, 2
Solve 4*u**2/7 = 0.
0
Factor 10*u**2 - 1456*u - 584.
2*(u - 146)*(5*u + 2)
Solve -8*v**5/7 + 6*v**4/7 + 22*v**3 + 18*v**2 - 218*v/7 - 60/7 = 0 for v.
-3, -2, -1/4, 1, 5
Determine j, given that 2*j**4 + 10*j**3 + 14*j**2 + 6*j = 0.
-3, -1, 0
Factor -18*b**2 - 4*b.
-2*b*(9*b + 2)
Factor -o**2 - 9*o - 8.
-(o + 1)*(o + 8)
What is p in 3*p**4 + 222*p**3 - 1656*p**2 + 3618*p - 2187 = 0?
-81, 1, 3
Let 27*w**4/2 + 315*w**3 + 3963*w**2/2 + 2238*w + 702 = 0. What is w?
-13, -9, -2/3
Factor -g**3 + 32*g**2 - 285*g + 450.
-(g - 15)**2*(g - 2)
Suppose -s**4/10 - 7*s**3/5 - 12*s**2/5 = 0. Calculate s.
-12, -2, 0
Factor 4*m**2 + 108*m.
4*m*(m + 27)
Factor -a**4/6 + 31*a**3/6 - 253*a**2/6 + 55*a/2 + 75.
-(a - 15)**2*(a - 2)*(a + 1)/6
Factor -4*s**4 + 96*s**3 - 436*s**2 - 2184*s + 5408.
-4*(s - 13)**2*(s - 2)*(s + 4)
Factor -10*o**5/3 - 12*o**4 - 8*o**3 + 16*o**2/3.
-2*o**2*(o + 2)**2*(5*o - 2)/3
Factor 2*k**3 - 14*k**2 + 32*k - 24.
2*(k - 3)*(k - 2)**2
Factor -3*o**5 + 9*o**4 - 12*o**2.
-3*o**2*(o - 2)**2*(o + 1)
Factor -2*a**3/3 + 22*a**2/3 - 24*a + 24.
-2*(a - 6)*(a - 3)*(a - 2)/3
What is u in 3*u**3 + 9*u**2 + 9*u + 3 = 0?
-1
Factor -2*b**4/5 + 2*b**3 - 14*b**2/5 + 6*b/5.
-2*b*(b - 3)*(b - 1)**2/5
Factor -4*p**2 + 132*p - 248.
-4*(p - 31)*(p - 2)
Find i such that -2*i**2/13 - 108*i/13 - 1458/13 = 0.
-27
Solve -3*k**2/8 - 3*k/4 = 0.
-2, 0
Let 2*d**2 - 392*d + 19208 = 0. Calculate d.
98
Let -6*a**4/5 - 57*a**3/5 - 117*a**2/5 - 87*a/5 - 21/5 = 0. What is a?
-7, -1, -1/2
Determine a so that 2*a**5 - 40*a**4 - 11*a**3/2 + 229*a**2/2 - 91*a + 20 = 0.
-2, 1/2, 1, 20
Determine o, given that 3*o**5/2 + 39*o**4 + 198*o**3 - 39*o**2 - 399*o/2 = 0.
-19, -7, -1, 0, 1
Factor v**2/4 - 1681*v + 2825761.
(v - 3362)**2/4
Factor 2*s**2/3 + 20*s/3 - 22/3.
2*(s - 1)*(s + 11)/3
Let 2*r**5/5 + 98*r**4/5 - 524*r**3/5 + 856*r**2/5 - 432*r/5 = 0. What is r?
-54, 0, 1, 2
Suppose 3*u**3/5 - 