 + 36)/2
Factor -z**3 + 8*z**2 - 9*z - 18.
-(z - 6)*(z - 3)*(z + 1)
Solve 4*u**4 - 1360*u**3 + 118288*u**2 - 456960*u + 451584 = 0 for u.
2, 168
Factor 2*u**2 + 46*u.
2*u*(u + 23)
Find i such that -i**3 - 35*i**2 + 114*i = 0.
-38, 0, 3
What is p in -3*p**3 - 9*p**2 + 12 = 0?
-2, 1
What is f in 5*f**2 + 120*f + 220 = 0?
-22, -2
Let 5*l**2/6 + 650*l + 126750 = 0. What is l?
-390
Determine t, given that -t**3 + 239*t**2 - 475*t + 237 = 0.
1, 237
Factor w**2 + 1352*w + 456976.
(w + 676)**2
Factor 5*h**2/4 - 160*h + 5120.
5*(h - 64)**2/4
Determine l so that 5*l**2 + 295*l + 4340 = 0.
-31, -28
Find x such that -x**4 - 26*x**3 - 69*x**2 = 0.
-23, -3, 0
Factor 2*l**2/3 + 874*l/3 - 292.
2*(l - 1)*(l + 438)/3
Factor 3*f**3 + 45*f**2 + 69*f - 117.
3*(f - 1)*(f + 3)*(f + 13)
Factor -20*d**3 - 2435*d**2 - 4190*d + 1200.
-5*(d + 2)*(d + 120)*(4*d - 1)
Find l, given that -2*l**3/21 - 22*l**2/21 - 68*l/21 - 16/7 = 0.
-6, -4, -1
What is s in -2*s**5/3 - 2*s**4/3 + 10*s**3/3 + 10*s**2/3 - 8*s/3 - 8/3 = 0?
-2, -1, 1, 2
Factor d**3/3 - 170*d**2/3 - 57*d.
d*(d - 171)*(d + 1)/3
Factor 8*v**5 + 19*v**4 - 26*v**3 - 76*v**2 - 24*v.
v*(v - 2)*(v + 2)**2*(8*v + 3)
Solve 4*a**5 - 12*a**3 - 8*a**2 = 0 for a.
-1, 0, 2
Let 3*n**2/7 + 6*n + 72/7 = 0. What is n?
-12, -2
Factor -2*w**3 - 18*w**2 + 96*w - 104.
-2*(w - 2)**2*(w + 13)
What is x in -5*x**5 + 80*x**4 - 425*x**3 + 750*x**2 = 0?
0, 5, 6
Solve 5*t**2 + 9*t - 2 = 0 for t.
-2, 1/5
Determine f so that -f**4/6 - f**3/6 + 7*f**2/6 + f/6 - 1 = 0.
-3, -1, 1, 2
Solve -5*v**3 + 240*v**2 - 2880*v = 0.
0, 24
What is b in 16*b**3 + 860*b**2 + 11448*b - 2916 = 0?
-27, 1/4
Factor 5*i**3 - 30*i**2 + 15*i + 50.
5*(i - 5)*(i - 2)*(i + 1)
Factor -4*r**4/3 - 19*r**3/3 - 11*r**2/3 + 4*r/3.
-r*(r + 1)*(r + 4)*(4*r - 1)/3
Find u, given that -2*u**5/5 + 14*u**4 + 98*u**3 - 5374*u**2 + 10400*u - 25688/5 = 0.
-19, 1, 26
Solve g**2/7 + 2418*g/7 + 1461681/7 = 0 for g.
-1209
Solve -3*s**3/4 + 9*s**2/4 + 27*s/4 + 15/4 = 0.
-1, 5
Find w such that -33*w**3 - 156*w**2 + 45*w = 0.
-5, 0, 3/11
Suppose y**4/2 + 9*y**3/2 + 15*y**2/2 - 25*y/2 = 0. Calculate y.
-5, 0, 1
Factor 19*w**2 - 13*w - 6.
(w - 1)*(19*w + 6)
Factor -21*b**2/2 + 25*b/2 - 2.
-(b - 1)*(21*b - 4)/2
Factor n**3/6 - 125*n**2/3 + 15625*n/6.
n*(n - 125)**2/6
What is n in -3*n**5/4 + 321*n**4/2 - 12225*n**3 + 381942*n**2 - 4077216*n + 13799808 = 0?
8, 66
Factor 4*f**3/7 - 12*f**2/7 - 24*f/7 + 32/7.
4*(f - 4)*(f - 1)*(f + 2)/7
What is w in -5*w**5 - 18*w**4 + 13*w**3 + 78*w**2 + 28*w - 24 = 0?
-3, -2, -1, 2/5, 2
Factor 4*s**3/3 + 40*s**2/3 + 28*s/3 - 24.
4*(s - 1)*(s + 2)*(s + 9)/3
Determine d, given that -5*d**2 + 310*d = 0.
0, 62
Find q, given that -4*q**3 - 32*q**2 - 48*q = 0.
-6, -2, 0
Determine p so that 5*p**2 - 630*p + 19845 = 0.
63
Find x, given that 3*x**2 + 24828*x + 51369132 = 0.
-4138
Suppose 5*p**2/6 + 875*p/2 + 1310/3 = 0. Calculate p.
-524, -1
Factor 5*p**3 - 1815*p**2 + 161955*p + 502335.
5*(p - 183)**2*(p + 3)
Let -2*t**2/7 + 2*t/7 = 0. What is t?
0, 1
Factor j**2/5 + 1061*j/5 - 1062/5.
(j - 1)*(j + 1062)/5
Suppose -u**2/3 + 840*u = 0. What is u?
0, 2520
Find c such that -14*c**4/13 - 24*c**3/13 - 6*c**2/13 + 4*c/13 = 0.
-1, 0, 2/7
Solve -4*i**3 - 280*i**2 = 0.
-70, 0
What is c in c**4/4 + 7*c**3 - 93*c**2/4 + c + 31 = 0?
-31, -1, 2
What is h in h**5 - 21*h**4 - 492*h**3 + 3376*h**2 - 7008*h + 4752 = 0?
-18, 2, 33
Determine g so that 3*g**4/5 - 42*g**3/5 - 48*g**2/5 + 42*g/5 + 9 = 0.
-1, 1, 15
Factor f**2/2 + 5*f - 11/2.
(f - 1)*(f + 11)/2
Find x, given that -3*x**2/2 - 3*x/2 + 30 = 0.
-5, 4
Solve 3*m**4/2 + 78*m**3 + 1083*m**2 + 1650*m - 5625/2 = 0.
-25, -3, 1
Let -45*r**5 - 395*r**4 - 765*r**3 + 595*r**2 + 810*r - 200 = 0. Calculate r.
-5, -4, -1, 2/9, 1
Factor -5*o**2 - 535*o + 2800.
-5*(o - 5)*(o + 112)
Determine x so that -7*x**4 - 38*x**3 - 57*x**2 - 18*x = 0.
-3, -2, -3/7, 0
Factor 5*t**4 - 45*t**3 + 110*t**2 - 160.
5*(t - 4)**2*(t - 2)*(t + 1)
Suppose -b**3/4 - 41*b**2/4 - 10*b = 0. Calculate b.
-40, -1, 0
Factor 3*x**3 - 294*x**2 - 597*x - 300.
3*(x - 100)*(x + 1)**2
Solve 2*x**4/3 + 10*x**3/3 - 26*x**2/3 + 14*x/3 = 0 for x.
-7, 0, 1
Factor -2*l**2 + 480*l - 1888.
-2*(l - 236)*(l - 4)
Factor -4*i**3 + 84*i**2 - 156*i + 76.
-4*(i - 19)*(i - 1)**2
What is c in c**2 + 21*c/8 - 9/8 = 0?
-3, 3/8
Solve z**3/9 - 4*z/3 + 16/9 = 0 for z.
-4, 2
Suppose -x**4/4 + 23*x**2/4 + 9*x/2 - 10 = 0. What is x?
-4, -2, 1, 5
Determine y, given that -y**5/2 - 29*y**4/2 - 128*y**3 - 490*y**2 - 848*y - 544 = 0.
-17, -4, -2
Factor 2*j**5 + 70*j**4 + 612*j**3 + 1436*j**2 + 1306*j + 414.
2*(j + 1)**3*(j + 9)*(j + 23)
Determine n, given that 3*n**5/5 - 849*n**4/5 + 60489*n**3/5 - 59643*n**2/5 = 0.
0, 1, 141
Factor 3*h**4 + 894*h**3 + 5292*h**2 + 10536*h + 7008.
3*(h + 2)**3*(h + 292)
Factor c**2 - 230*c + 13225.
(c - 115)**2
Suppose -2*d**3/13 + 4356*d**2/13 - 3162456*d/13 + 765314352/13 = 0. Calculate d.
726
Factor -2*w**4 + 76*w**3 - 522*w**2 + 1296*w - 1080.
-2*(w - 30)*(w - 3)**2*(w - 2)
Suppose 224*w**4 - 2708*w**3 + 8896*w**2 - 4372*w - 2040 = 0. What is w?
-2/7, 1, 5, 51/8
Factor 2*u**3 - 171*u**2/2 + 165*u - 163/2.
(u - 1)**2*(4*u - 163)/2
Factor -i**3/6 - i**2/2 + 2/3.
-(i - 1)*(i + 2)**2/6
Factor -3*k**3 + 411*k**2 + 3*k - 411.
-3*(k - 137)*(k - 1)*(k + 1)
What is y in -y**4 - 28*y**3 - 222*y**2 - 364*y - 169 = 0?
-13, -1
Factor 3*u**3 - 28197*u**2 + 88341201*u - 92257660911.
3*(u - 3133)**3
Determine y so that -75*y**2/8 - 21*y/2 - 9/8 = 0.
-1, -3/25
Find b, given that -24*b**3 - 28*b**2 - 8*b = 0.
-2/3, -1/2, 0
Factor -2*i**4/13 + 6*i**3/13 - 6*i**2/13 + 2*i/13.
-2*i*(i - 1)**3/13
Find y, given that 25*y**2/4 - 345*y + 4761 = 0.
138/5
Determine m so that m**3 + 14*m**2 - 49*m + 34 = 0.
-17, 1, 2
Let 5*w**2/4 - 1025*w/4 - 780 = 0. What is w?
-3, 208
Determine a so that 5*a**5/4 + 73*a**4/4 - 5835*a**3/4 - 116053*a**2/4 - 32575*a/2 + 11250 = 0.
-25, -1, 2/5, 36
Find f such that 2*f**3 - 1884*f**2 + 591576*f - 61918288 = 0.
314
Find q such that -2*q**5/7 + 10*q**3/7 - 8*q/7 = 0.
-2, -1, 0, 1, 2
Solve -2*c**4/7 + 6*c**3 + 200*c**2/7 = 0.
-4, 0, 25
Factor -i**4 + 14*i**3 - 72*i**2 + 160*i - 128.
-(i - 4)**3*(i - 2)
Solve -k**4 + 18*k**2 - 81 = 0 for k.
-3, 3
Suppose 5*t**3 + 290*t**2 - 2315*t - 2600 = 0. What is t?
-65, -1, 8
Find w such that 3*w**2 + 21*w - 132 = 0.
-11, 4
Factor 4*t**2/7 + 20*t + 600/7.
4*(t + 5)*(t + 30)/7
Factor -3*z**4 + 387*z**3 - 12672*z**2 + 12288*z.
-3*z*(z - 64)**2*(z - 1)
Solve -2*y**5/15 + 118*y**4/15 - 858*y**3/5 + 24922*y**2/15 - 99416*y/15 + 39304/5 = 0 for y.
2, 6, 17
Factor -13*u**3/2 + 41*u**2/2 - 3*u.
-u*(u - 3)*(13*u - 2)/2
Solve -1229312*r**4 + 1580544*r**3 - 762048*r**2 + 163296*r - 13122 = 0.
9/28
Suppose f**3/4 + 2*f**2 + 21*f/4 + 9/2 = 0. Calculate f.
-3, -2
Factor 2*f**2/7 + 212*f/7 + 5618/7.
2*(f + 53)**2/7
Find p, given that -4*p**3 - 12*p**2 + 184*p - 288 = 0.
-9, 2, 4
Find q such that -q**5/4 + q**4/4 + 17*q**3/4 - 53*q**2/4 + 14*q - 5 = 0.
-5, 1, 2
Suppose 3*r**3/4 + 3*r**2/4 - 15*r/2 + 6 = 0. Calculate r.
-4, 1, 2
Factor 2*c**3 - 756*c**2 + 71442*c.
2*c*(c - 189)**2
Determine o, given that 5*o**5/2 + 5*o**4/2 - 725*o**3/2 - 725*o**2/2 + 360*o + 360 = 0.
-12, -1, 1, 12
Factor 2*m**2 - 12*m - 32.
2*(m - 8)*(m + 2)
Factor 6*z**2 - 96*z/7 + 24/7.
6*(z - 2)*(7*z - 2)/7
Find a such that -4*a**2 + 64*a - 60 = 0.
1, 15
Find p such that -19*p**4 + 22*p**3 + 51*p**2 - 22*p - 32 = 0.
-1, -16/19, 1, 2
Factor 3*n**4 + 129*n**3 + 120*n**2 - 252*n.
3*n*(n - 1)*(n + 2)*(n + 42)
Determine c so that c**3/7 - 12*c**2/7 - 45*c/7 = 0.
-3, 0, 15
Factor 4*v**2 + 1792*v + 5340.
4*(v + 3)*(v + 445)
Factor 2*y**4/5 - 14*y**3/5 - 18*y**2/5 + 14*y/5 + 16/5.
2*(y - 8)*(y - 1)*(y + 1)**2/5
Factor -4*c**2 + 144*c - 140.
-4*(c - 35)*(c - 1)
Solve -4*s**4/3 + 4*s**3/3 + s**2 - 2*s/3 - 1/3 = 0.
-1/2, 1
Factor 4*j**3/3 - 268*j**2/3 - 1424*j/3 - 384.
4*(j - 72)*(j + 1)*(j + 4)/3
Factor -3*w**2 - 2544*w - 539328.
-3*(w + 424)**2
Let 2*n**3 - n**2 - 5*n - 2 = 0. Calculate n.
-1, -1/2, 2
Factor 4*y**4 + 16*y**3 - 64*y - 64.
4*(y - 2)*(y + 2)**3
Find q, given that -1078*q**5/9 - 6*q**4 + 4*q**3/9 = 0.
-1/11, 0, 2/49
Solve 2*z**3 + 50*z**2 - 224*z + 232 = 0 for z.
-29, 2
Let 98*j**2/11 + 56*j + 88 = 0. What is j?
-22/7
Find z, given that -2*z**5 - 14*z**4 + 2*z**3 + 14*z**2 