0. Calculate z.
-2, -1, 0, 1
Factor 2*i**4/7 - 76*i**3 + 40746*i**2/7 - 101992*i + 3601928/7.
2*(i - 122)**2*(i - 11)**2/7
Let -3*g**2/7 + 2586*g/7 + 2589/7 = 0. Calculate g.
-1, 863
Factor -c**4/4 + 3*c**3/2 + 25*c**2/4 + 9*c/2.
-c*(c - 9)*(c + 1)*(c + 2)/4
Factor 129*p**5 - 771*p**4 + 1530*p**3 - 996*p**2 - 24*p.
3*p*(p - 2)**3*(43*p + 1)
Solve 2*t**5/25 - 78*t**4/25 - 162*t**3/25 - 82*t**2/25 = 0.
-1, 0, 41
Factor -3*t**2 - 15*t + 108.
-3*(t - 4)*(t + 9)
Factor 2*x**2/5 + 106*x/5.
2*x*(x + 53)/5
Find f such that -3*f**5/5 + 15*f**4 + 33*f**3 - 15*f**2 - 162*f/5 = 0.
-2, -1, 0, 1, 27
Suppose 2*a**3 - 22*a**2 + 70*a - 50 = 0. What is a?
1, 5
Factor -q**5 - 12*q**4 - 36*q**3.
-q**3*(q + 6)**2
Factor -4*i**2 - 2072*i + 2076.
-4*(i - 1)*(i + 519)
Suppose -3*x**3/5 + 18*x**2/5 - 3*x = 0. Calculate x.
0, 1, 5
Find y such that -y**4/10 + 13*y**3/10 - 51*y**2/10 + 63*y/10 = 0.
0, 3, 7
Let -91*g**5 - 443*g**4 + 2066*g**3 - 1700*g**2 + 104*g + 64 = 0. Calculate g.
-8, -2/13, 2/7, 1, 2
Factor 2500*i**3 + 1300*i**2 - 1056*i + 144.
4*(i + 1)*(25*i - 6)**2
What is g in -2*g**3/5 + 182*g**2/5 - 880*g + 11616/5 = 0?
3, 44
Suppose -162*m**5/5 - 596*m**4/5 - 764*m**3/5 - 336*m**2/5 + 46*m/5 + 52/5 = 0. Calculate m.
-1, 26/81
Factor -5*k**5/3 - 260*k**4/3 - 2525*k**3/3 + 21790*k**2/3 - 48140*k/3 + 33640/3.
-5*(k - 2)**3*(k + 29)**2/3
Suppose 4*v**5/7 - 268*v**3/7 - 1160*v**2/7 - 1536*v/7 - 640/7 = 0. Calculate v.
-4, -1, 10
Factor -r**2/4 - 15*r/2 - 81/4.
-(r + 3)*(r + 27)/4
Determine j so that -9*j**4 - 555*j**3 - 2940*j**2 - 4740*j - 2016 = 0.
-56, -3, -2, -2/3
Suppose -2*t**3 - 10*t**2 - 6*t + 18 = 0. What is t?
-3, 1
Suppose 3*u**5/2 - 24*u**4 + 207*u**3/2 - 81*u**2 = 0. Calculate u.
0, 1, 6, 9
Factor 5*y**3 - 475*y**2 + 470*y.
5*y*(y - 94)*(y - 1)
Suppose 2*a**5/15 - 10*a**4/3 - 74*a**3/5 - 286*a**2/15 - 116*a/15 = 0. Calculate a.
-2, -1, 0, 29
Factor 4*m**3 - 4*m**2 - 20*m - 12.
4*(m - 3)*(m + 1)**2
Factor -d**4/8 + 27*d**2/8 - 27*d/4.
-d*(d - 3)**2*(d + 6)/8
Factor f**4/4 - 2*f**3 + 13*f**2/4 - 3*f/2.
f*(f - 6)*(f - 1)**2/4
Suppose -4*v**3 + 48*v**2 - 180*v + 200 = 0. Calculate v.
2, 5
Suppose 75*j**3 + 360*j**2 + 252*j + 48 = 0. What is j?
-4, -2/5
Let 4*h**3 + 4752*h**2 + 1416084*h + 2813192 = 0. Calculate h.
-593, -2
Factor 2*k**3/7 + 58*k**2/7 - 2*k/7 - 58/7.
2*(k - 1)*(k + 1)*(k + 29)/7
Let 2*a**2 - 2 = 0. What is a?
-1, 1
Find o such that -o**5 + 6*o**4 + 12*o**3 - 38*o**2 + 21*o = 0.
-3, 0, 1, 7
Factor o**3/6 + 101*o**2/3 - 832*o/3 + 560.
(o - 4)**2*(o + 210)/6
Factor 2*c**4/23 - 10*c**3/23 + 16*c**2/23 - 8*c/23.
2*c*(c - 2)**2*(c - 1)/23
Factor 3*v**3 - 6*v**2 - 15*v + 18.
3*(v - 3)*(v - 1)*(v + 2)
Find a, given that -4*a**2/5 - 446*a/5 + 224/5 = 0.
-112, 1/2
Factor -5*w**4 + 1040*w**3 - 53030*w**2 - 109200*w - 55125.
-5*(w - 105)**2*(w + 1)**2
Find o, given that 2*o**5/17 - 44*o**4/17 + 194*o**3/17 + 528*o**2/17 + 288*o/17 = 0.
-1, 0, 12
Factor 5*w**4 + 270*w**3 - 285*w**2 - 550*w.
5*w*(w - 2)*(w + 1)*(w + 55)
Find o, given that 3*o**2/2 - 486*o + 39366 = 0.
162
Factor -9*v**3 + 66*v**2 - 153*v + 108.
-3*(v - 3)**2*(3*v - 4)
Let 5*f**4 + 25*f**3 - 30*f**2 = 0. Calculate f.
-6, 0, 1
Let 5*y**2 - 3025*y - 3030 = 0. Calculate y.
-1, 606
Factor 4*d**4 + 76*d**3 + 312*d**2 + 464*d + 224.
4*(d + 1)*(d + 2)**2*(d + 14)
Determine p, given that -3*p**3 + 14229*p**2 - 22496049*p + 11855417823 = 0.
1581
Find x, given that 22*x**5/7 - 26*x**4/7 - 128*x**3/7 + 16*x**2 + 160*x/7 - 32/7 = 0.
-2, -1, 2/11, 2
Determine c so that -5*c**5 - 469*c**4/3 + 1355*c**3/3 - 437*c**2 + 508*c/3 - 68/3 = 0.
-34, 1/3, 2/5, 1
Factor -m**5 + 3*m**4 + 18*m**3.
-m**3*(m - 6)*(m + 3)
Suppose -4*c**3 - 12*c**2 + 16 = 0. What is c?
-2, 1
Let 24*p**4 - 1350*p**3 + 16737*p**2 + 13149*p + 2220 = 0. What is p?
-1/2, -1/4, 20, 37
Factor 3*j**3 + 165*j**2 - 339*j + 171.
3*(j - 1)**2*(j + 57)
Factor g**3/2 + 586*g**2 + 170520*g - 691488.
(g - 4)*(g + 588)**2/2
Factor 4*j**3/7 - 864*j**2/7 + 62208*j/7 - 1492992/7.
4*(j - 72)**3/7
Factor 2*q**4 + 26*q**3 + 114*q**2 + 190*q + 100.
2*(q + 1)*(q + 2)*(q + 5)**2
Determine a, given that -3*a**2/4 - 39*a - 507 = 0.
-26
Factor 2*f**2/9 - 10*f/3 - 152/9.
2*(f - 19)*(f + 4)/9
Let -176720*r**4 + 1054680*r**3 - 1556685*r**2 - 50490*r - 405 = 0. Calculate r.
-3/188, 3
Determine x so that -21*x**3 - 141*x**2 - 168*x + 60 = 0.
-5, -2, 2/7
Solve p**4 - 5*p**3 + 3*p**2 + 5*p - 4 = 0 for p.
-1, 1, 4
Determine s, given that -4*s**3 + 112*s**2 + 240*s = 0.
-2, 0, 30
Factor 20*k**3 + 52*k**2 + 44*k + 12.
4*(k + 1)**2*(5*k + 3)
Factor -55*w**2 + 170*w.
-5*w*(11*w - 34)
What is g in -3*g**4/2 - 3*g**3/2 + 69*g**2/2 - 117*g/2 + 27 = 0?
-6, 1, 3
Find n such that n**2/2 - 25*n/2 + 75 = 0.
10, 15
Let 46*b**2/3 + 364*b/3 - 32/3 = 0. Calculate b.
-8, 2/23
Factor 9*c**5 + 39*c**4 + 58*c**3 + 36*c**2 + 8*c.
c*(c + 1)*(c + 2)*(3*c + 2)**2
Solve -2*i**4/11 + 82*i**3/11 - 696*i**2/11 - 296*i + 352 = 0.
-4, 1, 22
Find m, given that -7803*m**5 + 47175*m**4 - 74763*m**3 + 46689*m**2 - 12474*m + 1176 = 0.
2/9, 7/17, 1, 4
Find l such that -6*l**4 - 44*l**3 + 86*l**2 - 36*l = 0.
-9, 0, 2/3, 1
What is x in -6*x**5/7 + 30*x**4/7 - 60*x**3/7 + 60*x**2/7 - 30*x/7 + 6/7 = 0?
1
Let 5*g**2 - 160*g + 1280 = 0. Calculate g.
16
Factor p**4 - 6*p**3 - 31*p**2 + 36*p.
p*(p - 9)*(p - 1)*(p + 4)
Let 18*u**2/7 - 1364*u/7 - 304/7 = 0. Calculate u.
-2/9, 76
Solve l**2 + 70*l - 891 = 0.
-81, 11
Suppose q**5/7 - 2*q**4/7 - 47*q**3/7 + 32*q**2 - 304*q/7 + 128/7 = 0. What is q?
-8, 1, 4
Solve x**3/3 + 1705*x**2/3 - x/3 - 1705/3 = 0.
-1705, -1, 1
Solve -3*t**4/7 - 736*t**3/7 - 975*t**2/7 + 246*t/7 + 488/7 = 0.
-244, -1, 2/3
Factor 3*q**3/4 + 261*q**2/4 + 1485*q/4 + 2187/4.
3*(q + 3)**2*(q + 81)/4
What is s in 2*s**3 + 10*s**2 + 6*s - 18 = 0?
-3, 1
Solve 2*q**3/15 - 18*q**2/5 + 84*q/5 = 0.
0, 6, 21
Determine w, given that 3*w**4 + 6*w**3 - 84*w**2 - 312*w - 288 = 0.
-4, -2, 6
Factor s**5/2 + 19*s**4/2 + 9*s**3.
s**3*(s + 1)*(s + 18)/2
Find b, given that -45*b**2/2 - 411*b/2 - 27 = 0.
-9, -2/15
Let -7*k**5 + 177*k**4 - 806*k**3 - 4684*k**2 + 6888*k - 1568 = 0. Calculate k.
-4, 2/7, 1, 14
Let c**5/7 - 25*c**4/7 + 82*c**3/7 + 918*c**2/7 + 1485*c/7 + 675/7 = 0. Calculate c.
-3, -1, 15
Factor r**2/4 + 7*r/2 + 13/4.
(r + 1)*(r + 13)/4
Factor 2*p**2/11 - 914*p/11 - 2760/11.
2*(p - 460)*(p + 3)/11
Factor -n**4/3 + 11*n**3 - 253*n**2/3 - 119*n + 578/3.
-(n - 17)**2*(n - 1)*(n + 2)/3
Suppose -7*g**5/4 + g**4/2 + 287*g**3/4 - 293*g**2/2 - 160*g + 56 = 0. Calculate g.
-7, -1, 2/7, 4
Factor 3*v**5 + 189*v**4 + 1665*v**3 + 3975*v**2.
3*v**2*(v + 5)**2*(v + 53)
Determine v, given that v**3/6 + 2*v**2/3 - 26*v/3 + 40/3 = 0.
-10, 2, 4
Let -7*w**5/3 - 2*w**4/3 + 7*w**3 - 8*w**2/3 - 4*w/3 = 0. What is w?
-2, -2/7, 0, 1
Factor b**2/6 + 3*b + 40/3.
(b + 8)*(b + 10)/6
Let -2*c**2/7 - 766*c/7 + 768/7 = 0. Calculate c.
-384, 1
Solve -d**5/10 + 9*d**4/5 + d**3/5 - 18*d**2/5 - d/10 + 9/5 = 0.
-1, 1, 18
Find q, given that -q**2/4 + 157*q/4 - 39 = 0.
1, 156
Solve -w**3/2 + 25*w/2 = 0.
-5, 0, 5
Let 2*q**3/3 - 166*q**2/3 = 0. What is q?
0, 83
Factor 6*g**2/13 - 2*g - 20/13.
2*(g - 5)*(3*g + 2)/13
Factor 9*h**3 + 1749*h**2 + 85263*h + 28227.
3*(h + 97)**2*(3*h + 1)
Factor 2*u**2/9 + 406*u/9 + 388.
2*(u + 9)*(u + 194)/9
Determine p so that 2*p**2 + 40*p + 38 = 0.
-19, -1
Factor 4*p**3 - 436*p**2/3 - 100*p + 148/3.
4*(p - 37)*(p + 1)*(3*p - 1)/3
Factor -5*h**2 + 155*h + 330.
-5*(h - 33)*(h + 2)
Let 3*w**2/7 - 300*w/7 - 225 = 0. What is w?
-5, 105
Let -2*t**5/9 - 4*t**4/3 + 52*t**3/9 - 8*t**2/3 - 50*t/9 + 4 = 0. What is t?
-9, -1, 1, 2
Suppose -2*y**2/11 - 732*y/11 - 66978/11 = 0. What is y?
-183
Find k, given that 6*k**3/11 + 149*k**2 - 1371*k/11 - 274/11 = 0.
-274, -1/6, 1
What is p in p**3/3 - 56*p**2/3 + 161*p/3 - 106/3 = 0?
1, 2, 53
Determine c, given that -3*c**5 - 12*c**4 + 9*c**3 + 30*c**2 - 24*c = 0.
-4, -2, 0, 1
Suppose 4*x**3 - 80*x**2 + 468*x - 648 = 0. What is x?
2, 9
Factor -8*k**2 - 562*k/3 - 230/3.
-2*(k + 23)*(12*k + 5)/3
Factor l**2 - 33*l + 116.
(l - 29)*(l - 4)
Factor 5*o**4 - 305*o**3 + 870*o**2 + 20*o - 1160.
5*(o - 58)*(o - 2)**2*(o + 1)
Find z, given that -100*z**5 + 92*z**4 + 808*z**3 - 1136*z**2 - 96*z = 0.
-3, -2/25, 0, 2
Factor -3*f**3/8 + 117*f**2/8 + 243*f/8 + 123/8.
-3*(f - 41)*(f + 1)**2/8
Suppose