late u.
-2/17, 17
Factor -2*z**2/11 - 16*z/11 + 6.
-2*(z - 3)*(z + 11)/11
Factor -2*t**2/5 + 212*t/5 - 5618/5.
-2*(t - 53)**2/5
Solve -14*k**5/9 - 38*k**4/9 + 6*k**3 + 142*k**2/9 + 40*k/9 - 8/3 = 0 for k.
-3, -1, 2/7, 2
Factor -w**5 - 2*w**4 + 3*w**3 + 8*w**2 + 4*w.
-w*(w - 2)*(w + 1)**2*(w + 2)
Factor 2*o**2/7 + 396*o/7 + 112.
2*(o + 2)*(o + 196)/7
Factor 4*r**3 + 8*r**2 - 64*r - 128.
4*(r - 4)*(r + 2)*(r + 4)
Factor j**3/9 - j**2/3 - j + 3.
(j - 3)**2*(j + 3)/9
Solve z**4/3 - 80*z**3/3 - 259*z**2/3 + 830*z/3 = 0 for z.
-5, 0, 2, 83
Factor -2*d**3/15 + 728*d**2/5 - 264992*d/5 + 96457088/15.
-2*(d - 364)**3/15
Determine o, given that 5*o**5 + 410*o**4 + 805*o**3 + 400*o**2 = 0.
-80, -1, 0
What is h in 3*h**3 - 11*h**2 - 4*h = 0?
-1/3, 0, 4
Suppose k**3 + 2*k**2 - 3*k = 0. What is k?
-3, 0, 1
Factor -28*w**4/3 + 5*w**3 - 2*w**2/3.
-w**2*(4*w - 1)*(7*w - 2)/3
Solve -2*z**5/5 + z**4/2 + 11*z**3/10 - 7*z**2/10 - 7*z/10 + 1/5 = 0.
-1, 1/4, 1, 2
Let 4*n**2 - 536*n + 532 = 0. Calculate n.
1, 133
Find i, given that 2*i**5/9 - 8*i**4/3 + 112*i**3/9 - 256*i**2/9 + 32*i - 128/9 = 0.
2, 4
Factor -4*m**2 + 396*m - 8712.
-4*(m - 66)*(m - 33)
Factor -2*b**5/7 - 30*b**4/7 - 88*b**3/7.
-2*b**3*(b + 4)*(b + 11)/7
Suppose -12*a**4 + 28*a**3 + 4*a**2 - 28*a + 8 = 0. What is a?
-1, 1/3, 1, 2
Factor 14*y**3 + 500*y**2 - 144*y.
2*y*(y + 36)*(7*y - 2)
Solve 4*j**3 - 220*j**2 - 688*j - 464 = 0 for j.
-2, -1, 58
Factor 2*p**4 + 68*p**3 + 698*p**2 + 2040*p + 1800.
2*(p + 2)**2*(p + 15)**2
Solve -v**3/9 + 13*v**2/9 + 184*v/9 - 880/9 = 0.
-11, 4, 20
Factor -h**2/6 - 3*h - 27/2.
-(h + 9)**2/6
Find t such that 2*t**2/5 + 394*t/5 + 156 = 0.
-195, -2
Factor c**2 + 9*c + 8.
(c + 1)*(c + 8)
Let -2*m**3 - 2*m**2 = 0. Calculate m.
-1, 0
Factor 2*j**2 + 54*j + 100.
2*(j + 2)*(j + 25)
Let -752*c**3 - 1120*c**2 + 764*c - 8 = 0. What is c?
-2, 1/94, 1/2
Determine a so that -4*a**3 + 684*a**2 - 29580*a + 28900 = 0.
1, 85
Suppose -2*d**4 + 2*d**3 + 4*d**2 = 0. What is d?
-1, 0, 2
Find q, given that -6*q**2/7 - 516*q/7 - 510/7 = 0.
-85, -1
Factor -y**4/4 - 75*y**3/4 - 378*y**2 - 972*y.
-y*(y + 3)*(y + 36)**2/4
Factor -2*c**3/3 - 9898*c**2/3 - 12251248*c/3 - 12241352/3.
-2*(c + 1)*(c + 2474)**2/3
Factor -m**4/5 + 7*m**3/5 - 6*m**2/5.
-m**2*(m - 6)*(m - 1)/5
Factor -2*o**5 + 72*o**4 + 308*o**3 + 472*o**2 + 318*o + 80.
-2*(o - 40)*(o + 1)**4
Suppose -x**2 - 380*x = 0. What is x?
-380, 0
What is t in -2*t**2/5 + 116*t/5 + 496/5 = 0?
-4, 62
Suppose -15*b**3 - 144*b**2 + 420*b - 144 = 0. Calculate b.
-12, 2/5, 2
Factor -4*i**4 - 2868*i**3 - 682560*i**2 - 53222400*i + 165888000.
-4*(i - 3)*(i + 240)**3
Factor 21*x**4 - 195*x**3 + 222*x**2 - 48*x.
3*x*(x - 8)*(x - 1)*(7*x - 2)
Factor -4*w**3 + 16*w**2 + 44*w - 120.
-4*(w - 5)*(w - 2)*(w + 3)
Determine x so that x**4 - 9*x**3 + 29*x**2 - 39*x + 18 = 0.
1, 2, 3
Factor 2361*c**2/5 - 6*c/5.
3*c*(787*c - 2)/5
Find x such that -2*x**4/5 - 6*x**3 - 86*x**2/5 + 6*x + 88/5 = 0.
-11, -4, -1, 1
Suppose 5*u**5 - 35*u**4 + 30*u**3 = 0. What is u?
0, 1, 6
Factor -c**2/4 + 21*c/2 - 441/4.
-(c - 21)**2/4
Factor b**3/2 + 2076*b**2 + 2873184*b + 1325495552.
(b + 1384)**3/2
Factor 4*m**4/7 - 16*m**3/7 - 148*m**2/7 + 160*m/7.
4*m*(m - 8)*(m - 1)*(m + 5)/7
Solve -2*j**2/3 + 31*j/3 - 18 = 0 for j.
2, 27/2
Let -9*b**3/8 - 21*b**2/4 + 165*b/8 + 63/4 = 0. Calculate b.
-7, -2/3, 3
Find h such that -52*h**4 - 140*h**3 + 516*h**2 - 404*h + 80 = 0.
-5, 4/13, 1
Suppose -c**2 + 84*c - 243 = 0. What is c?
3, 81
Let -2*l**3 - 62*l**2 - 268*l - 208 = 0. What is l?
-26, -4, -1
Determine z, given that -4*z**2/11 + 3127*z/11 + 782/11 = 0.
-1/4, 782
Factor 2*a**2/5 - 164*a/5 + 64.
2*(a - 80)*(a - 2)/5
Factor -o**3/4 - 3*o**2/4 + 19*o - 33.
-(o - 6)*(o - 2)*(o + 11)/4
Factor w**2/3 + 2099*w/3 - 700.
(w - 1)*(w + 2100)/3
Factor -2*t**2/5 - 517*t/5 - 258/5.
-(t + 258)*(2*t + 1)/5
Factor 2*k**2/5 - 152*k/5 + 2888/5.
2*(k - 38)**2/5
Solve 2*w**2/17 + 130*w/17 = 0.
-65, 0
Solve o**4/8 + 3*o**3/8 - o**2 - 3*o/2 + 2 = 0 for o.
-4, -2, 1, 2
What is u in 16*u**5 + 76*u**4 - 32*u**3 - 60*u**2 = 0?
-5, -3/4, 0, 1
Solve 2*o**4 - 16*o**3 + 4*o**2 + 64*o + 42 = 0 for o.
-1, 3, 7
Factor 3*s**2/4 - 351*s/4.
3*s*(s - 117)/4
Factor 4*z**2 + 888*z - 1792.
4*(z - 2)*(z + 224)
Solve 5*q**5 - 295*q**4 + 1125*q**3 - 1385*q**2 + 550*q = 0 for q.
0, 1, 2, 55
Factor -16*n**2 + 412*n + 104.
-4*(n - 26)*(4*n + 1)
Determine w so that -4*w**4 + 20*w**2 - 16 = 0.
-2, -1, 1, 2
Solve -g**4 + 5*g**3 + 3*g**2 - 13*g - 10 = 0 for g.
-1, 2, 5
Let r**2 - 66*r = 0. Calculate r.
0, 66
Let 2*o**3/19 - 178*o**2/19 + 3038*o/19 + 43218/19 = 0. What is o?
-9, 49
Solve 8*c**3/5 + 18*c**2 + 166*c/5 + 36/5 = 0 for c.
-9, -2, -1/4
Let 3*b**5 - 81*b**3 + 174*b**2 + 36*b - 216 = 0. Calculate b.
-6, -1, 2, 3
What is b in 2*b**3/15 - 5726*b**2/5 + 16393538*b/5 - 46934699294/15 = 0?
2863
Factor 3*t**2 - 12*t + 9.
3*(t - 3)*(t - 1)
Factor -3*j**3/7 - 33*j**2/7 - 12*j.
-3*j*(j + 4)*(j + 7)/7
Solve -4*v**3 - 832*v**2 + 1676*v - 840 = 0 for v.
-210, 1
Factor 4*d**2 + 92*d + 88.
4*(d + 1)*(d + 22)
What is h in 8*h**3/7 - 7424*h**2/7 + 7418*h/7 - 1854/7 = 0?
1/2, 927
Factor 4*b**3 - 158*b**2 + 76*b + 78.
2*(b - 39)*(b - 1)*(2*b + 1)
Factor -2*w**4/3 - 34*w**3/3 + 74*w**2/3 - 38*w/3.
-2*w*(w - 1)**2*(w + 19)/3
Let 3*o**3 - 10764*o**2 + 12873744*o - 5132332608 = 0. What is o?
1196
Factor g**4/3 - g**3/3 - 8*g**2/3 + 4*g.
g*(g - 2)**2*(g + 3)/3
Factor -z**3 + 8*z**2 + 9*z.
-z*(z - 9)*(z + 1)
Let 20*w**5 + 45*w**4 - 10*w**3 - 45*w**2 - 10*w = 0. Calculate w.
-2, -1, -1/4, 0, 1
Factor -h**4/2 + 57*h**2/2 + 100*h + 72.
-(h - 9)*(h + 1)*(h + 4)**2/2
Factor -p**4 - 37*p**3 - 468*p**2 - 2160*p - 1728.
-(p + 1)*(p + 12)**3
Suppose -4*f**2/3 - 116*f/3 + 728 = 0. What is f?
-42, 13
Solve m**3 + 148*m**2 + 1668*m + 4896 = 0.
-136, -6
Factor 2*j**2 - 36*j.
2*j*(j - 18)
Factor -2*z**5 + 8*z**4 - 10*z**3 + 4*z**2.
-2*z**2*(z - 2)*(z - 1)**2
What is b in 2*b**2 - 2*b - 4 = 0?
-1, 2
Factor 5*w**4 - 55*w**3 + 120*w**2 + 20*w - 160.
5*(w - 8)*(w - 2)**2*(w + 1)
What is t in -t**2 + 35*t - 34 = 0?
1, 34
Factor q**2/5 + 16*q/5 + 12.
(q + 6)*(q + 10)/5
Factor j**2/2 + 8*j - 18.
(j - 2)*(j + 18)/2
Find d, given that 2*d**3/19 + 68*d**2/19 + 320*d/19 - 4800/19 = 0.
-20, 6
Determine n so that 21*n**4/5 - 78*n**3/5 + 39*n**2/5 + 18*n/5 = 0.
-2/7, 0, 1, 3
Factor 4*z**5/9 - 124*z**4/3 + 1448*z**3/9 - 2152*z**2/9 + 476*z/3 - 356/9.
4*(z - 89)*(z - 1)**4/9
Factor 55*p**3 + 970*p**2 + 4095*p - 1620.
5*(p + 9)**2*(11*p - 4)
Factor -2*x**4/15 + 22*x**3/15 - 16*x**2/5 - 24*x/5.
-2*x*(x - 6)**2*(x + 1)/15
Factor 238521*g**3 + 83205*g**2 + 9675*g + 375.
3*(43*g + 5)**3
What is q in 3*q**5/4 - 6*q**3 - 9*q**2/2 + 21*q/4 + 9/2 = 0?
-2, -1, 1, 3
Factor -22*f**2 + 6*f/5.
-2*f*(55*f - 3)/5
Suppose -3*r**3 - 18*r**2 + 639*r + 1326 = 0. Calculate r.
-17, -2, 13
Factor 2*t**4/7 - 8*t**3/7 + 8*t**2/7.
2*t**2*(t - 2)**2/7
Factor -2*x**2/9 + 214*x - 3844/9.
-2*(x - 961)*(x - 2)/9
Suppose -2*v**3/13 - 68*v**2 + 274*v - 2676/13 = 0. What is v?
-446, 1, 3
Factor 5*q**3 - 525*q**2 + 1540*q - 1020.
5*(q - 102)*(q - 2)*(q - 1)
Factor h**2/4 - 830*h + 688900.
(h - 1660)**2/4
Factor 4*q**3/5 + 4*q**2 - 240*q.
4*q*(q - 15)*(q + 20)/5
Factor p**2/2 - 35*p + 1225/2.
(p - 35)**2/2
Solve 3*a**5 + 12*a**4 - 18*a**3 - 96*a**2 - 105*a - 36 = 0 for a.
-4, -1, 3
Factor -2*h**4/3 - 56*h**3/3 - 106*h**2/3 - 52*h/3.
-2*h*(h + 1)**2*(h + 26)/3
What is f in -f**2 - 1700*f - 722500 = 0?
-850
Factor -6*o**5/7 + 12*o**4/7 - 6*o**3/7.
-6*o**3*(o - 1)**2/7
Factor 5*j**4 - 130*j**3 - 275*j**2 - 140*j.
5*j*(j - 28)*(j + 1)**2
Factor -4*h**3/5 + 8*h**2/5 + 64*h/5 - 128/5.
-4*(h - 4)*(h - 2)*(h + 4)/5
Let -d**4 - 10*d**3 + 3*d**2 + 32*d + 20 = 0. What is d?
-10, -1, 2
What is k in -k**5 + 106*k**3 - 684*k**2 + 1647*k - 1404 = 0?
-13, 3, 4
Factor -2*g**4/7 + 10*g**3/7 - 12*g**2/7.
-2*g**2*(g - 3)*(g - 2)/7
Solve 3*r**4 - 39*r**3 + 90*r**2 + 12*r - 120 = 0 for r.
-1, 2, 10
Suppose -j**3/2 + 4*j**2 - 13*j/2 + 3 = 0. What is j?
1, 6
Let -2*p**3 - 198*p**2 + 2202*p + 2398 = 0. What is p?
-109, -1, 11
What is v in -2*v**3/3 + 10*v**2/3 + 32*v - 168 = 0?
-7, 6
Factor 2*g**2/7 - 332*g/7.
2*g*(g - 166)/7
Suppose -4*f**4 + 158*f**3 - 1408*f**2 + 3288*f + 2016 = 0. Calculate f.
-1/2, 6, 28
Let -j**5/2 - 7*j**4 - 75*j**3/2 - 9