n -t**3/6 - 26*t**2/3 + 53*t/6 = 0?
-53, 0, 1
Solve -3*i**5 + 6*i**4 + 9*i**3 = 0 for i.
-1, 0, 3
Find j, given that j**2/2 - 57*j/2 + 175 = 0.
7, 50
Factor -4*z**4 + 84*z**3 - 452*z**2 + 876*z - 504.
-4*(z - 14)*(z - 3)**2*(z - 1)
Let 8*o**4/3 - 470*o**3/9 + 130*o**2/9 + 470*o/9 - 154/9 = 0. Calculate o.
-1, 1/3, 1, 77/4
Find n, given that -3*n**2 + 117*n - 222 = 0.
2, 37
Find a such that -2*a**3/7 - 166*a**2/7 = 0.
-83, 0
Factor u**3/2 + 8*u**2 + 29*u/2 + 7.
(u + 1)**2*(u + 14)/2
What is p in -3*p**3 - 63*p**2 - 384*p - 720 = 0?
-12, -5, -4
Solve 12*y**3/7 - 172*y**2/7 + 192*y/7 + 208/7 = 0.
-2/3, 2, 13
Factor -590*n**3/9 + 66*n**2 - 4*n/9.
-2*n*(n - 1)*(295*n - 2)/9
Let 4*s**3 - 80*s**2 + 452*s - 616 = 0. Calculate s.
2, 7, 11
Determine w, given that 3*w**2/2 + 99*w + 3267/2 = 0.
-33
Factor -2*j**4 - 96*j**3 - 1584*j**2 - 10368*j - 23328.
-2*(j + 6)**2*(j + 18)**2
Solve -2*y**4 + 62*y**3 - 274*y**2 + 370*y - 156 = 0 for y.
1, 3, 26
Factor u**2/4 - 9*u + 35/4.
(u - 35)*(u - 1)/4
Factor 3*w**2/5 + 11*w + 18/5.
(w + 18)*(3*w + 1)/5
What is o in -45*o**5/7 + 264*o**4/7 - 459*o**3/7 + 204*o**2/7 + 36*o/7 = 0?
-2/15, 0, 1, 2, 3
Determine l so that -2*l**3/5 + 306*l**2/5 - 15606*l/5 + 265302/5 = 0.
51
Factor o**4 - 110*o**3 - 684*o**2 - 1384*o - 928.
(o - 116)*(o + 2)**3
Factor 15*j**3/7 - 3084*j**2/7 + 22557*j + 63654/7.
3*(j - 103)**2*(5*j + 2)/7
Suppose 3*q**3/4 + 4059*q**2/4 + 1830609*q/4 + 275201553/4 = 0. Calculate q.
-451
Factor g**4 + 5*g**3 - g**2 - 5*g.
g*(g - 1)*(g + 1)*(g + 5)
Factor 23763*h**2 + 11748*h + 1452.
3*(89*h + 22)**2
Suppose u**2/2 + 253*u + 64009/2 = 0. What is u?
-253
What is r in -r**2/4 - 4*r - 15/4 = 0?
-15, -1
Find z such that 20*z**5 + 2970*z**4 + 17645*z**3/4 + 705*z**2/4 - 4405*z/4 + 735/4 = 0.
-147, -1, 1/4
Factor -2*j**2/7 - 204*j/7 - 202/7.
-2*(j + 1)*(j + 101)/7
Solve 2*b**2/7 + 4440*b/7 = 0 for b.
-2220, 0
Factor 15*k**4 + 20*k**3 - 10*k**2 - 20*k - 5.
5*(k - 1)*(k + 1)**2*(3*k + 1)
Let -3*l**2 - 4494*l - 1683003 = 0. What is l?
-749
Factor 44*q**2 + 492*q + 88.
4*(q + 11)*(11*q + 2)
Let 24*f**5 + 68*f**4 - 124*f**3 - 36*f**2 + 52*f + 16 = 0. What is f?
-4, -1/2, -1/3, 1
Factor -2*h**4/3 - 70*h**3/3.
-2*h**3*(h + 35)/3
Find z, given that 2*z**4/3 + 2*z**3/3 - 2*z**2/3 - 2*z/3 = 0.
-1, 0, 1
Find k such that 2*k**2/21 + 496*k/21 + 1952/21 = 0.
-244, -4
Solve 2*z**4/9 - 50*z**3/9 - 116*z**2/3 - 728*z/9 - 496/9 = 0 for z.
-2, 31
Let 3*p**3 - 36*p**2 + 135*p - 162 = 0. Calculate p.
3, 6
Factor 2*l**3 + 624*l**2.
2*l**2*(l + 312)
Determine f, given that -f**3/4 + 155*f**2/2 + 313*f + 314 = 0.
-2, 314
Factor -2*m**2/9 - 368*m/3 - 16928.
-2*(m + 276)**2/9
Suppose -5*l**2 + 1030*l + 1035 = 0. Calculate l.
-1, 207
Factor 4*x**3 - 288*x**2 + 5712*x - 18496.
4*(x - 34)**2*(x - 4)
Let 2*q**5/11 + 20*q**4/11 + 34*q**3/11 - 56*q**2/11 = 0. What is q?
-7, -4, 0, 1
Find q such that 4*q**2 + 40*q - 96 = 0.
-12, 2
Suppose -49*s**3/5 + 2912*s**2/5 + 1676*s/5 + 48 = 0. What is s?
-2/7, 60
Find f, given that 81*f**5/4 + 261*f**4/2 + 463*f**3/4 - 339*f**2/2 - 87*f - 10 = 0.
-5, -2, -2/9, 1
Find o, given that 4*o**4/7 - 36*o**3/7 + 32*o**2/7 = 0.
0, 1, 8
Suppose 4*f**3 - 19*f**2 + 19*f + 6 = 0. What is f?
-1/4, 2, 3
Determine v so that -3*v**2 + 49*v/2 - 4 = 0.
1/6, 8
What is s in 3*s**3 - 600*s**2 + 3519*s - 5238 = 0?
3, 194
Find j such that j**3/3 - 13*j**2/3 - 16*j/3 + 28/3 = 0.
-2, 1, 14
Factor 10*b**4 + 68*b**3 + 136*b**2 + 60*b - 18.
2*(b + 1)*(b + 3)**2*(5*b - 1)
Let 5*i**2 - 1180*i = 0. Calculate i.
0, 236
What is f in -12*f**2/5 - 3741*f/5 + 936/5 = 0?
-312, 1/4
Find r such that 2*r**3 + 34*r**2 - 36*r = 0.
-18, 0, 1
Suppose 1805*k**4/4 - 12730*k**3 + 26130*k**2 - 5080*k + 260 = 0. What is k?
2/19, 2, 26
Factor 4*l**2/3 + 688*l/3 + 29584/3.
4*(l + 86)**2/3
Factor 2*h**2/17 + 448*h/17 + 888/17.
2*(h + 2)*(h + 222)/17
Suppose 2*t**4/3 + 32*t**3/3 + 176*t**2/3 + 128*t + 96 = 0. What is t?
-6, -2
Factor -11*o**5 - 53*o**4 - 56*o**3 + 56*o**2 + 80*o - 16.
-(o - 1)*(o + 2)**3*(11*o - 2)
Find y such that -9*y**5/7 + 87*y**4/7 - 123*y**3/7 + 3*y**2 + 24*y/7 = 0.
-1/3, 0, 1, 8
Let -3*t**3 - 24*t**2 + 159*t + 180 = 0. Calculate t.
-12, -1, 5
Solve -2*c**3/5 - 34*c**2/5 - 32*c - 40 = 0 for c.
-10, -5, -2
What is n in 2*n**3 - 58*n**2 + 446*n - 390 = 0?
1, 13, 15
Factor -4*a**4 + 104*a**3 - 596*a**2 + 160*a + 3600.
-4*(a - 18)*(a - 5)**2*(a + 2)
Find n such that -n**2 - 6*n = 0.
-6, 0
Solve 10*r**2/7 - 128*r/7 - 26/7 = 0.
-1/5, 13
Suppose 98*k**5/5 - 112*k**4/5 - 54*k**3/5 + 52*k**2/5 + 16*k/5 = 0. Calculate k.
-4/7, -2/7, 0, 1
Factor -i**2/6 + 2*i/3 + 5/6.
-(i - 5)*(i + 1)/6
Factor -4*h**3/3 - 143*h**2/3 - 420*h + 108.
-(h + 18)**2*(4*h - 1)/3
Determine n, given that 11*n**4/3 - 695*n**3/3 + 3793*n**2 - 12617*n/3 + 1922/3 = 0.
2/11, 1, 31
Determine h so that -h**5/4 - h**4 + 5*h**3/4 + 5*h**2 - h - 4 = 0.
-4, -2, -1, 1, 2
Determine i, given that 15*i**4 - 6591*i**3 + 15759*i**2 - 11805*i + 2622 = 0.
2/5, 1, 437
Solve 4*h**3/7 + 40*h**2/7 + 12*h = 0 for h.
-7, -3, 0
Suppose -2*x**2/9 - 88*x/9 - 968/9 = 0. What is x?
-22
Find z, given that -2*z**5 + 8*z**4 - 12*z**3 + 8*z**2 - 2*z = 0.
0, 1
Solve 28*z**5 - 76*z**4 - 248*z**3 + 272*z**2 + 544*z + 128 = 0 for z.
-2, -1, -2/7, 2, 4
Factor -v**2/2 + 33*v/2 - 126.
-(v - 21)*(v - 12)/2
Factor 2*u**2 + 20*u - 238.
2*(u - 7)*(u + 17)
Factor 5*d**2 + 3550*d - 7120.
5*(d - 2)*(d + 712)
Let -4*s**3 + 108*s**2 + 228*s + 116 = 0. Calculate s.
-1, 29
Suppose -j**2 - 150*j + 2475 = 0. What is j?
-165, 15
Find j such that 2209*j**2 - 564*j + 36 = 0.
6/47
Let 12*j**3 - 216*j**2 + 1071*j - 867 = 0. Calculate j.
1, 17/2
Factor -14*z**2/9 + 2*z.
-2*z*(7*z - 9)/9
What is g in -g**2/3 - 325*g/3 + 326/3 = 0?
-326, 1
Solve 80*g**2 + 92*g + 12 = 0.
-1, -3/20
Suppose -5*a**5 + 190*a**4 + 415*a**3 - 560*a**2 - 1580*a - 800 = 0. Calculate a.
-2, -1, 2, 40
Suppose 2*b**2/9 - 74*b/3 - 224/9 = 0. What is b?
-1, 112
Let -2*i**5 - 2*i**4 + 270*i**3 - 526*i**2 + 260*i = 0. Calculate i.
-13, 0, 1, 10
Let -20*c**3 + 39*c**2 - 18*c - 1 = 0. Calculate c.
-1/20, 1
Determine r so that -6*r**2 - 837*r + 420 = 0.
-140, 1/2
Factor 215*x**3 + 647*x**2 + 436*x + 4.
(x + 1)*(x + 2)*(215*x + 2)
Factor -3*x**5 - 9*x**4 - 6*x**3.
-3*x**3*(x + 1)*(x + 2)
Determine f, given that 3*f**3 - 171*f**2 + 2673*f - 6561 = 0.
3, 27
Factor -r**3 + 42*r**2 + 88*r.
-r*(r - 44)*(r + 2)
Solve -10*w**3 + 4*w**2/9 + 70*w/9 - 8/3 = 0.
-1, 4/9, 3/5
Factor -10816*u**2/5 + 624*u/5 - 9/5.
-(104*u - 3)**2/5
Determine o so that 2*o**3/7 - 50*o**2/7 - 164*o/7 - 16 = 0.
-2, -1, 28
Solve -s**3/3 + 130*s**2/3 + 133*s = 0.
-3, 0, 133
Find t, given that -2*t**5 - 10*t**4 + 2*t**3 + 10*t**2 = 0.
-5, -1, 0, 1
Factor 2*x**2 + 4*x - 6.
2*(x - 1)*(x + 3)
Factor 5*h**2/4 - 95*h/2 + 300.
5*(h - 30)*(h - 8)/4
Factor -21*v**2/5 + 108*v/5 - 96/5.
-3*(v - 4)*(7*v - 8)/5
Suppose 18*n**5 + 33*n**4 + 14*n**3 - 3*n**2 - 2*n = 0. What is n?
-1, -2/3, -1/2, 0, 1/3
Factor 2*d**4/9 + 2*d**3/9 - 34*d**2/9 + 10*d/3.
2*d*(d - 3)*(d - 1)*(d + 5)/9
Factor -3*u**3 + 2763*u**2 - 848241*u + 86803329.
-3*(u - 307)**3
What is g in g**2 + 467*g/4 - 117/4 = 0?
-117, 1/4
Determine w so that 2*w**5/3 + 10*w**4/3 + 6*w**3 + 14*w**2/3 + 4*w/3 = 0.
-2, -1, 0
Let -4*x**2/9 - 64*x/9 - 112/9 = 0. Calculate x.
-14, -2
Factor -5*m**5 + 5*m**4 + 45*m**3 + 55*m**2 + 20*m.
-5*m*(m - 4)*(m + 1)**3
Suppose -4*j**5 + 202*j**4 - 270*j**3 - 1190*j**2 + 674*j + 588 = 0. Calculate j.
-2, -1/2, 1, 3, 49
Suppose n**5/11 - 52*n**4/11 + 865*n**3/11 - 3942*n**2/11 - 972*n - 5832/11 = 0. Calculate n.
-1, 18
Suppose 8*u**2/9 - 122*u/9 + 26 = 0. What is u?
9/4, 13
Find o, given that -3*o**4 - 54*o**3 - 243*o**2 = 0.
-9, 0
Suppose 5*c**4 - 90*c**2 - 160*c - 75 = 0. Calculate c.
-3, -1, 5
Suppose -2*l**5 - 62*l**4 + 4*l**3 + 124*l**2 - 2*l - 62 = 0. Calculate l.
-31, -1, 1
Factor -4*n**4/3 + 20*n**3/3 - 32*n**2/3 + 16*n/3.
-4*n*(n - 2)**2*(n - 1)/3
Factor -3*n**3/5 + 90*n**2.
-3*n**2*(n - 150)/5
Factor 4*c**3 - 5492*c**2 + 1887872*c - 1882384.
4*(c - 686)**2*(c - 1)
Find d, given that 2185*d**2 - 2190*d + 5 = 0.
1/437, 1
Find x, given that -27*x**2 + 185*x + 28 = 0.
-4/27, 7
Factor n**4 - 5*n**3 + 7*n**2 - 3*n.
n*(n - 3)*(n - 1)**2
Let -2*p**3 - 4*p**2 = 0. What is p?
-2, 0
Factor 4*o**2 + 92*o - 312.
4*(o - 3)*(o + 26)
