 0. Calculate u.
0, 1, 3
Solve 2*s**4/3 - 8*s**3 + 64*s**2/3 = 0.
0, 4, 8
Factor -8*w**2 - 1090*w - 272.
-2*(w + 136)*(4*w + 1)
Factor 14*g**2 - 57*g/4 + 1/4.
(g - 1)*(56*g - 1)/4
Determine s, given that -s**2/2 + 2*s + 21/2 = 0.
-3, 7
Solve -4*u**5 + 280*u**4 - 1552*u**3 + 1000*u**2 + 1556*u - 1280 = 0 for u.
-1, 1, 5, 64
Find l, given that -4*l**3 - 7*l**2 + 322*l - 80 = 0.
-10, 1/4, 8
Find t such that -5*t**3 - 720*t**2 + 2945*t - 2220 = 0.
-148, 1, 3
Factor -10*t**2 - 116*t + 48.
-2*(t + 12)*(5*t - 2)
Find v such that 3*v**3 - 15*v**2 + 9*v + 27 = 0.
-1, 3
Solve -5*k**2 + 125*k - 500 = 0 for k.
5, 20
Factor k**3 - 23*k**2 - 24*k.
k*(k - 24)*(k + 1)
Factor 2*z**2/11 - 14*z/11.
2*z*(z - 7)/11
Factor -2*j**2/9 - 82*j/9 - 80/9.
-2*(j + 1)*(j + 40)/9
Factor -3*h**2 - 57*h + 60.
-3*(h - 1)*(h + 20)
Factor 5*y**2 - 7*y + 2.
(y - 1)*(5*y - 2)
Let k**4 - 6*k**3 + 32*k = 0. What is k?
-2, 0, 4
Let 3*c**5/5 - 21*c**4/5 + 39*c**3/5 + 9*c**2/5 - 54*c/5 = 0. What is c?
-1, 0, 2, 3
Factor -t**2/2 + 153*t - 604.
-(t - 302)*(t - 4)/2
Let -2*u**4/5 - 12*u**3 + 918*u**2/5 - 736*u + 840 = 0. Calculate u.
-42, 2, 5
Suppose 229441*r**2/3 - 6706*r/3 + 49/3 = 0. Calculate r.
7/479
Factor 4*a**2 + 776*a + 772.
4*(a + 1)*(a + 193)
Factor 3*b**3/5 - 4*b**2/5 + b/5.
b*(b - 1)*(3*b - 1)/5
Suppose 3*m**4/7 - 150*m**3/7 + 21*m**2 = 0. What is m?
0, 1, 49
Factor -5*x**5 - 1615*x**4 - 196800*x**3 - 10816000*x**2 - 235520000*x - 614400000.
-5*(x + 3)*(x + 80)**4
Let 2*u**4 - 206*u**3/7 - 74*u**2/7 + 206*u/7 + 60/7 = 0. Calculate u.
-1, -2/7, 1, 15
Factor -c**3 - 6*c**2 - 5*c + 12.
-(c - 1)*(c + 3)*(c + 4)
Let 128*q**5 + 1760*q**4/3 + 1174*q**3/3 - 812*q**2 - 294*q = 0. Calculate q.
-21/8, -1/3, 0, 1
Let 34*q**3/9 + 12*q**2 = 0. Calculate q.
-54/17, 0
Factor 16*k**3/7 - 24576*k**2/7 - 24588*k/7 - 6148/7.
4*(k - 1537)*(2*k + 1)**2/7
Factor -2*w**2/5 - 72*w/5 + 152/5.
-2*(w - 2)*(w + 38)/5
Factor 5*m**2 - 4645*m.
5*m*(m - 929)
Factor m**2/6 + 4*m/3 + 7/6.
(m + 1)*(m + 7)/6
Determine g so that -2*g**4 + 34*g**3 - 140*g**2 = 0.
0, 7, 10
Factor t**4/2 - 3*t**3/2 - t**2 + 6*t - 4.
(t - 2)**2*(t - 1)*(t + 2)/2
Find h, given that -2*h**2/5 + 304*h/5 = 0.
0, 152
Factor -l**3/3 + l**2 + 3*l + 5/3.
-(l - 5)*(l + 1)**2/3
Find t such that 2*t**2/9 - 250*t/9 - 508/9 = 0.
-2, 127
Factor 3*o**4/4 - 51*o**3/4 - 57*o**2/2.
3*o**2*(o - 19)*(o + 2)/4
Factor 4*o**4 + 128*o**3 + 516*o**2 - 648*o.
4*o*(o - 1)*(o + 6)*(o + 27)
Factor -2*k**4/9 - 10*k**3/3 - 16*k**2 - 24*k.
-2*k*(k + 3)*(k + 6)**2/9
Suppose 4*p**4 - 36*p**3 - 100*p**2 + 132*p = 0. What is p?
-3, 0, 1, 11
Suppose 2*z**4/3 - 21*z**3 - 98*z**2/3 - 11*z = 0. What is z?
-1, -1/2, 0, 33
Find b such that 3*b**5 + 18*b**4 - 21*b**3 - 276*b**2 - 432*b - 192 = 0.
-4, -1, 4
Find h, given that h**3/5 + 132*h**2/5 + 1008*h/5 + 1984/5 = 0.
-124, -4
Factor -j**5/3 + 5*j**4 - 56*j**3/3 + 56*j**2/3 + 16*j - 80/3.
-(j - 10)*(j - 2)**3*(j + 1)/3
Determine u so that 5*u**3 + 45*u**2 - 1160*u - 1200 = 0.
-20, -1, 12
Solve 7*r**4 - 583*r**3 - 2242*r**2 - 1748*r + 696 = 0 for r.
-2, 2/7, 87
Determine m so that 5*m**4 - 10*m**3 - 95*m**2 - 140*m - 60 = 0.
-2, -1, 6
Solve -2*v**3 - 30*v**2 - 96*v - 88 = 0.
-11, -2
Factor -4*i**4 + 76*i**3 - 380*i**2 + 308*i.
-4*i*(i - 11)*(i - 7)*(i - 1)
Let -3*j**5 - 33*j**4 - 126*j**3 - 210*j**2 - 159*j - 45 = 0. What is j?
-5, -3, -1
Factor -2*k**4/5 - 2*k**3/5 + 18*k**2/5 + 18*k/5.
-2*k*(k - 3)*(k + 1)*(k + 3)/5
Factor -4*y**2/5 - 7*y/5 - 3/5.
-(y + 1)*(4*y + 3)/5
Solve -2*x**3 - 832*x**2 - 86528*x = 0.
-208, 0
Suppose 2*t**4/9 - 1496*t**3/3 + 419628*t**2 - 156940872*t + 22010957298 = 0. What is t?
561
What is m in -m**4 - 16*m**3 - 85*m**2 - 150*m = 0?
-6, -5, 0
Let -3*s**5/2 - 3*s**4/2 + 21*s**3/2 + 3*s**2/2 - 9*s = 0. What is s?
-3, -1, 0, 1, 2
Suppose -2*v**5 + 8*v**4 + 2*v**3 - 8*v**2 = 0. Calculate v.
-1, 0, 1, 4
Solve 3*a**2 - 33*a + 90 = 0 for a.
5, 6
Factor c**2 - 5*c - 150.
(c - 15)*(c + 10)
Find w such that 3*w**4/4 - 3*w**3/4 - 27*w**2/4 + 27*w/4 = 0.
-3, 0, 1, 3
Factor 34*h**3 + 18*h**2 - 16*h.
2*h*(h + 1)*(17*h - 8)
Factor b**2/4 - 39*b/2.
b*(b - 78)/4
Factor -3*r**2/5 + 2508*r/5 - 524172/5.
-3*(r - 418)**2/5
Suppose 6*l**3 - 50*l**2 + 48*l + 56 = 0. Calculate l.
-2/3, 2, 7
Suppose 4*a**5 - 816*a**4 + 1616*a**3 = 0. What is a?
0, 2, 202
Determine w, given that -5*w**2 + 215*w - 210 = 0.
1, 42
Suppose 5*t**3/4 + 119*t**2/4 - 149*t/4 + 25/4 = 0. What is t?
-25, 1/5, 1
Suppose -3*s**2 - 546*s - 24843 = 0. Calculate s.
-91
Solve 5*d**4 - 25*d**3 = 0.
0, 5
Let -21*w**5 - 106*w**4 + 11*w**3 + 328*w**2 - 260*w + 48 = 0. What is w?
-4, -3, 2/7, 2/3, 1
Find k, given that -k**4/6 + 4*k**3/3 - 5*k**2/2 - 4*k/3 + 8/3 = 0.
-1, 1, 4
Determine r, given that 4*r**3 + 2844*r**2 + 674028*r + 53248212 = 0.
-237
Factor -2*a**3/5 - 74*a**2/5 - 646*a/5 + 722/5.
-2*(a - 1)*(a + 19)**2/5
Factor -3*g**2 - 354*g - 10443.
-3*(g + 59)**2
Factor y**3 - 3*y**2 - 6*y + 8.
(y - 4)*(y - 1)*(y + 2)
Factor 7*c**4/4 - 481*c**3/4 - 157*c**2 - 35*c.
c*(c - 70)*(c + 1)*(7*c + 2)/4
Factor -2*r**4/3 + 298*r**3/3 - 4558*r**2 + 129214*r/3 + 2977540/3.
-2*(r - 53)**3*(r + 10)/3
Determine a so that 4*a**5/17 + 22*a**4/17 + 40*a**3/17 + 22*a**2/17 - 8*a/17 - 8/17 = 0.
-2, -1, 1/2
Find n such that 14*n**4/5 - 29*n**3/5 - 54*n**2/5 + 116*n/5 - 8/5 = 0.
-2, 1/14, 2
Determine b, given that 102*b**4/7 - 396*b**3/7 - 1272*b**2/7 - 144*b/7 = 0.
-2, -2/17, 0, 6
Suppose -8*w**5/7 + 50*w**4/7 - 44*w**3/7 - 40*w**2/7 + 52*w/7 - 10/7 = 0. Calculate w.
-1, 1/4, 1, 5
What is f in 2*f**5/9 + 74*f**4/9 + 782*f**3/9 + 710*f**2/9 - 20800*f/9 - 64000/9 = 0?
-16, -5, 5
Factor 3*b**3/5 + 63*b**2/5 - 3*b/5 - 63/5.
3*(b - 1)*(b + 1)*(b + 21)/5
Factor 2*a**2 - 1326*a.
2*a*(a - 663)
Factor -3*v**5 + 30*v**4 - 48*v**3.
-3*v**3*(v - 8)*(v - 2)
Factor b**2/4 - 9*b/4 - 5/2.
(b - 10)*(b + 1)/4
Factor 2*y**2/11 - 62*y/11 - 2484/11.
2*(y - 54)*(y + 23)/11
Find p, given that 2*p**4/9 + 436*p**3/9 + 3504*p**2 + 746060*p/9 - 778034/9 = 0.
-73, 1
Factor 5*g**2 + 945*g + 940.
5*(g + 1)*(g + 188)
Let -2*u**5/3 + 8*u**4/3 + 8*u**3 - 68*u**2/3 - 22*u/3 + 20 = 0. What is u?
-3, -1, 1, 2, 5
Factor 2*w**3/11 - 36*w**2/11 - 2*w/11 + 36/11.
2*(w - 18)*(w - 1)*(w + 1)/11
Find h, given that -3*h**4/2 + 81*h**2/2 + 81*h = 0.
-3, 0, 6
Find m such that 45*m**4/2 + 93*m**3/2 - 42*m**2 - 114*m - 48 = 0.
-2, -1, -2/3, 8/5
Solve -4*w**4/7 - 52*w**3/7 + 268*w**2/7 - 92*w/7 - 408/7 = 0 for w.
-17, -1, 2, 3
Factor -3*s**4 - 51*s**3 - 132*s**2 - 84*s.
-3*s*(s + 1)*(s + 2)*(s + 14)
Factor s**5/4 - s**3/2 + s/4.
s*(s - 1)**2*(s + 1)**2/4
Factor -2*m**4/13 - 378*m**3/13 - 18414*m**2/13 - 51894*m/13.
-2*m*(m + 3)*(m + 93)**2/13
Find p, given that 35*p**5 - 95*p**4 - 65*p**3 + 95*p**2 + 30*p = 0.
-1, -2/7, 0, 1, 3
Determine x so that -2*x**4/5 + 106*x**3/5 - 1606*x**2/5 + 7502*x/5 = 0.
0, 11, 31
Factor 48*t**4/5 + 264*t**3/5 + 87*t**2 + 45*t.
3*t*(t + 3)*(4*t + 5)**2/5
Factor 2*n**2/11 + 116*n/11 + 432/11.
2*(n + 4)*(n + 54)/11
Solve -x**5 - 24*x**4 + 78*x**3 - 80*x**2 + 27*x = 0.
-27, 0, 1
Factor 3*a**2 + 30*a.
3*a*(a + 10)
Factor a**2/4 + 38*a + 75.
(a + 2)*(a + 150)/4
Suppose -2*u**3/9 + 62*u**2/3 - 1922*u/3 + 59582/9 = 0. Calculate u.
31
Factor -t**3 - t**2 + 10*t - 8.
-(t - 2)*(t - 1)*(t + 4)
Find i, given that 9*i**5/7 - 15*i**4/7 - 5*i**3/7 + 15*i**2/7 - 4/7 = 0.
-2/3, 1
Factor m**5/3 + 4*m**4/3 + 4*m**3/3 - 2*m**2/3 - 5*m/3 - 2/3.
(m - 1)*(m + 1)**3*(m + 2)/3
Factor u**2/4 - 75*u + 5625.
(u - 150)**2/4
What is h in 5*h**3 + 190*h**2 - 1665*h - 4050 = 0?
-45, -2, 9
Determine h, given that 3*h**2 + 243*h + 4914 = 0.
-42, -39
Determine q, given that -2*q**4 + 2*q**3 + 18*q**2 + 22*q + 8 = 0.
-1, 4
Suppose 2*s**4/21 + 4*s**3/21 - 2*s**2/21 - 4*s/21 = 0. What is s?
-2, -1, 0, 1
Suppose -6*f**4/7 - 60*f**3/7 + 66*f**2/7 = 0. What is f?
-11, 0, 1
Factor -2*y**3 - 240*y**2 - 9600*y - 128000.
-2*(y + 40)**3
Find c such that -4*c**2/3 - 2204*c/3 = 0.
-551, 0
Factor 7*b**3 + 254*b**2 + 72*b.
b*(b + 36)*(7*b + 2)
Factor -y**4/6 - 9*y**3 - 291*y**2/2 - 648*y - 864.
-(y + 3)**2*(y + 24)**2/6
Determine p so that 6*p**4/7 + 27*p**3/7 - 93*p**2/7 + 81*p/7 - 3 = 0.
-7, 1/2, 1
Solve -2*q**2/15 + 1146*q/5 + 688/3 = 0.
-1, 1720
Factor 3*i**4 + 75*i**3 - 333*i**2 + 429*i - 174.
3*(i - 2)*(i - 1)**2*(i + 29)
Let -2*b**2/5