 r, given that -2*r**5/5 - 4*r**4/5 + 4*r**3/5 + 8*r**2/5 - 2*r/5 - 4/5 = 0.
-2, -1, 1
Factor -3*w**2/5 + 129*w/5 - 1368/5.
-3*(w - 24)*(w - 19)/5
Factor 11*u**2 - 3*u - 8.
(u - 1)*(11*u + 8)
Factor 2*x**4 - 152*x**3 + 2732*x**2 + 5928*x + 3042.
2*(x - 39)**2*(x + 1)**2
Factor -4*g**3 - 16*g**2 - 20*g - 8.
-4*(g + 1)**2*(g + 2)
Factor -5*r**4/3 - 5*r**3/3 + 20*r**2/3 + 20*r/3.
-5*r*(r - 2)*(r + 1)*(r + 2)/3
Suppose 4*m**4/5 - 12*m**3/5 - 8*m**2/5 + 48*m/5 - 32/5 = 0. Calculate m.
-2, 1, 2
Factor -x**3/3 + 17*x**2/3 - 9*x - 15.
-(x - 15)*(x - 3)*(x + 1)/3
Factor -2*x**3 + 202*x**2 + 624*x.
-2*x*(x - 104)*(x + 3)
Find c, given that 2*c**4/9 + 4*c**3 - 40*c**2/9 - 4*c + 38/9 = 0.
-19, -1, 1
Factor 88*r**3/5 - 178*r**2/5 + 92*r/5 - 2/5.
2*(r - 1)**2*(44*r - 1)/5
Factor 4*t**4 + 120*t**3 + 900*t**2 + 2000*t.
4*t*(t + 5)**2*(t + 20)
Suppose 185*g**3/6 - 110*g**2 + 70*g + 160/3 = 0. Calculate g.
-16/37, 2
Solve g**3/7 = 0 for g.
0
Find f such that 5*f**4 - 20*f**3 - 5*f**2 + 20*f = 0.
-1, 0, 1, 4
Find a such that -a**2/7 + 6*a/7 + 55/7 = 0.
-5, 11
Determine z so that -375*z**4/4 - 15525*z**3/2 + 9405*z**2 - 3774*z + 504 = 0.
-84, 2/5
Solve 3*c**4/2 + 285*c**3/2 + 3309*c**2 - 3744*c - 6912 = 0.
-48, -1, 2
Find l, given that 4*l**3 + 184*l**2 + 1116*l + 936 = 0.
-39, -6, -1
Solve -3*t**4 - 45*t**3 - 162*t**2 + 324*t + 1944 = 0.
-6, 3
Let 2*p**4/5 + 4*p**3/5 - 8*p**2/5 - 16*p/5 = 0. What is p?
-2, 0, 2
What is a in 12*a**4 + 150*a**3/11 + 18*a**2/11 = 0?
-1, -3/22, 0
Find n, given that -n**5/3 + 4*n**4/3 - n**3/3 - 10*n**2/3 + 4*n/3 + 8/3 = 0.
-1, 2
Suppose 3*y**5 + 457*y**4 - 6102*y**3 + 27432*y**2 - 47392*y + 21120 = 0. Calculate y.
-165, 2/3, 4
Factor b**2/3 - 588*b + 259308.
(b - 882)**2/3
Factor v**2 - 11*v - 26.
(v - 13)*(v + 2)
Factor 3*l**4/2 - 3981*l**3/2 + 1758267*l**2/2 - 257282439*l/2 - 260814921.
3*(l - 443)**3*(l + 2)/2
Determine h, given that 2*h**5 + 40*h**4 - 6*h**3 - 116*h**2 + 80*h = 0.
-20, -2, 0, 1
Factor -2*s**3/11 + 560*s**2/11 - 39200*s/11.
-2*s*(s - 140)**2/11
Factor -2*s**2/9 - 98*s/9 - 32/3.
-2*(s + 1)*(s + 48)/9
Factor -4*i**2 + 700*i.
-4*i*(i - 175)
Determine i so that i**2 + 398*i + 397 = 0.
-397, -1
Factor 35*z**2 + 5*z - 30.
5*(z + 1)*(7*z - 6)
Factor 4*d**3 + 72*d**2 + 224*d.
4*d*(d + 4)*(d + 14)
Determine b so that -b**3/7 + 90*b**2/7 - 339*b/7 - 430/7 = 0.
-1, 5, 86
Factor 5*w**3 + 2070*w**2 + 212160*w - 432640.
5*(w - 2)*(w + 208)**2
Factor 3*d**3 + 207*d**2 + 3672*d + 3468.
3*(d + 1)*(d + 34)**2
Solve -24*h**5 - 588*h**4 + 318*h**3 + 435*h**2 - 372*h + 75 = 0 for h.
-25, -1, 1/2
Factor 4*l**2/5 - 628*l/5 + 624/5.
4*(l - 156)*(l - 1)/5
Solve 490*t**5/9 - 1036*t**4/9 + 746*t**3/9 - 224*t**2/9 + 8*t/3 = 0.
0, 2/7, 2/5, 3/7, 1
Determine r so that -3*r**2 + 27*r + 30 = 0.
-1, 10
Let -2*s**2/15 + 418*s/15 + 28 = 0. What is s?
-1, 210
Factor 2*n**3/15 + 226*n**2/15 - 2*n/15 - 226/15.
2*(n - 1)*(n + 1)*(n + 113)/15
What is b in 34*b**5/3 + 64*b**4/3 - 8*b**3/3 = 0?
-2, 0, 2/17
Factor 13*h**2/2 - 947*h/2 - 73.
(h - 73)*(13*h + 2)/2
Factor 2*c**5/5 - 30*c**4 + 2736*c**3/5 + 2888*c**2/5.
2*c**2*(c - 38)**2*(c + 1)/5
Solve 15*r**5 - 24*r**4 - 57*r**3 - 18*r**2 = 0 for r.
-1, -2/5, 0, 3
Factor 2*l**3/9 + 24*l**2 - 74*l/3 - 436/9.
2*(l - 2)*(l + 1)*(l + 109)/9
Factor 3*t**3 + 30*t**2 + 9*t - 162.
3*(t - 2)*(t + 3)*(t + 9)
Let 2355*p**4/4 - 4310*p**3 + 6225*p**2 + 6360*p + 80 = 0. What is p?
-2/3, -2/157, 4
Factor -5*v**2 + 405.
-5*(v - 9)*(v + 9)
Factor -4*f**5/3 - 44*f**4/3 - 52*f**3 - 60*f**2.
-4*f**2*(f + 3)**2*(f + 5)/3
Let y**5/2 + 12*y**4 + 64*y**3 = 0. What is y?
-16, -8, 0
Determine y so that 3*y**5 + 153*y**4 + 1095*y**3 + 2775*y**2 + 2862*y + 1032 = 0.
-43, -4, -2, -1
Factor -5*t**3 - 390*t**2 - 1125*t.
-5*t*(t + 3)*(t + 75)
Factor w**2/2 + 7*w - 36.
(w - 4)*(w + 18)/2
Factor 3*b**3 + 732*b**2 + 2175*b + 1446.
3*(b + 1)*(b + 2)*(b + 241)
Factor -4*c**2 - 13*c/5 - 2/5.
-(4*c + 1)*(5*c + 2)/5
Determine y, given that 3*y**2/2 + 53*y/4 - 9/4 = 0.
-9, 1/6
Suppose 121*l**4/9 + 638*l**3/9 + 1237*l**2/9 + 116*l + 36 = 0. Calculate l.
-18/11, -1
Factor -270*x**4 + 835*x**3 - 885*x**2 + 345*x - 25.
-5*(x - 1)**3*(54*x - 5)
Factor -h**5/2 + 3*h**4/2 + 81*h**3/2 + 297*h**2/2 + 162*h.
-h*(h - 12)*(h + 3)**3/2
Let 578*c**5/11 + 11050*c**4/11 + 21524*c**3/11 + 12244*c**2/11 + 1226*c/11 + 34/11 = 0. What is c?
-17, -1, -1/17
Determine s, given that s**3 - 30*s**2 + 153*s + 184 = 0.
-1, 8, 23
Factor q**4 - 84*q**3 - 3*q**2 + 254*q - 168.
(q - 84)*(q - 1)**2*(q + 2)
Factor -3*t**3/4 - 9*t**2/4 + 3*t/4 + 9/4.
-3*(t - 1)*(t + 1)*(t + 3)/4
What is b in -121*b**4 - 3520*b**3 - 25479*b**2 + 3520*b + 25600 = 0?
-160/11, -1, 1
Determine k so that -2*k**2/3 - 4*k/3 + 10 = 0.
-5, 3
Factor -3*w**2/2 + 27*w/2 - 27.
-3*(w - 6)*(w - 3)/2
Factor 3*f**4/4 - 291*f**3/2 + 1155*f**2/4 - 144*f.
3*f*(f - 192)*(f - 1)**2/4
Let g**2/4 - 25*g/2 + 625/4 = 0. What is g?
25
Suppose 22*g**5/9 + 1450*g**4/9 + 2596*g**3/9 - 6056*g**2/9 - 10736*g/9 + 1024/9 = 0. What is g?
-64, -2, 1/11, 2
Factor 15*h**3 + 279*h**2 + 216*h - 11664.
3*(h + 12)**2*(5*h - 27)
Factor -2*g**2 + 22*g + 52.
-2*(g - 13)*(g + 2)
Factor i**4/2 - 3*i**3/2 + 2*i.
i*(i - 2)**2*(i + 1)/2
Let -5*p**5 + 2750*p**4 - 378120*p**3 - 2750*p**2 + 378125*p = 0. What is p?
-1, 0, 1, 275
Suppose -15*g**3 + 25*g**2 + 20*g - 20 = 0. What is g?
-1, 2/3, 2
Factor -2*p**4 - 52*p**3 + 3102*p**2 + 87120*p.
-2*p*(p - 40)*(p + 33)**2
Factor -2*f**2/9 - 202*f/9 + 68/3.
-2*(f - 1)*(f + 102)/9
Solve 5*i**3 + 345*i**2 - 2700*i - 3040 = 0.
-76, -1, 8
Find n, given that -2*n**3/21 + 22*n**2/21 - 64*n/21 + 8/3 = 0.
2, 7
Determine c, given that c**3/7 + 174*c**2/7 + 1056*c - 15488/7 = 0.
-88, 2
Determine v so that -5*v**5 - 40*v**4 - 80*v**3 = 0.
-4, 0
Let y**5 + 7*y**4 + 13*y**3 + y**2 - 14*y - 8 = 0. Calculate y.
-4, -2, -1, 1
Let -36*l**2/5 + 18*l/5 - 2/5 = 0. Calculate l.
1/6, 1/3
Determine u so that -2*u**3 + 6098*u**2 + 18308*u + 12208 = 0.
-2, -1, 3052
Factor -2*z**5/5 - 54*z**4/5 - 438*z**3/5 - 202*z**2 - 912*z/5 - 288/5.
-2*(z + 1)**3*(z + 12)**2/5
What is t in 5*t**5 + 10*t**4 - 45*t**3 - 70*t**2 + 100*t + 120 = 0?
-3, -2, -1, 2
Let x**4 - x**3 - 57*x**2 - 135*x = 0. What is x?
-5, -3, 0, 9
Let 2*u**5/5 - 34*u**3/5 + 72*u**2/5 - 8*u = 0. What is u?
-5, 0, 1, 2
Factor 2*m**2/11 - 1042*m/11 + 376.
2*(m - 517)*(m - 4)/11
Suppose x**3/7 - 4*x**2/7 + 3*x/7 = 0. What is x?
0, 1, 3
Factor -13*s**4/5 + 37*s**3/5 - 33*s**2/5 + 7*s/5 + 2/5.
-(s - 1)**3*(13*s + 2)/5
Solve -102*l**3/7 + 106*l**2/7 + 200*l/7 - 8/7 = 0 for l.
-1, 2/51, 2
Solve -3*g**2 - 30*g = 0.
-10, 0
Factor -5*l**3/3 + 25*l**2/3 + 10*l.
-5*l*(l - 6)*(l + 1)/3
Solve -4*g**2 + 12824*g - 10278436 = 0.
1603
Factor -3*b**2 - 486*b + 489.
-3*(b - 1)*(b + 163)
Find r, given that 9*r**3/2 - 33*r**2/2 - 9*r + 12 = 0.
-1, 2/3, 4
Factor -3*h**5 - 63*h**4 - 114*h**3.
-3*h**3*(h + 2)*(h + 19)
Factor 2*t**2/9 - 124*t/9 + 122/9.
2*(t - 61)*(t - 1)/9
Factor -2*u**3 - 28*u**2 - 110*u - 84.
-2*(u + 1)*(u + 6)*(u + 7)
Factor -a**4/4 + 30*a**3 + 243*a**2/4 + 61*a/2.
-a*(a - 122)*(a + 1)**2/4
Determine d, given that -2*d**2 + 138*d - 640 = 0.
5, 64
Solve -j**2/5 + 54*j + 271/5 = 0.
-1, 271
Find k such that -k**2/2 + 19*k/2 = 0.
0, 19
Solve -6*y**5 - 555*y**4/2 - 3243*y**3 - 1587*y**2/2 = 0 for y.
-23, -1/4, 0
Factor -5*g**2 - 25*g + 30.
-5*(g - 1)*(g + 6)
What is s in -2*s**4/13 + 14*s**3/13 - 16*s**2/13 - 56*s/13 + 96/13 = 0?
-2, 2, 3, 4
Factor -12*s**2/11 - 34*s/11 + 46/11.
-2*(s - 1)*(6*s + 23)/11
Find p, given that -4*p**4/17 + 14*p**3/17 - 2*p**2/17 - 20*p/17 = 0.
-1, 0, 2, 5/2
What is n in 6*n**3/7 + 1128*n**2/7 + 1122*n/7 = 0?
-187, -1, 0
Factor -2*w**5/17 - 250*w**4/17 - 8180*w**3/17 - 23060*w**2/17 - 22570*w/17 - 7442/17.
-2*(w + 1)**3*(w + 61)**2/17
Let -45*s**2/4 + 65*s/2 - 20 = 0. Calculate s.
8/9, 2
Factor -g**3 + 366*g**2 - 33852*g + 66248.
-(g - 182)**2*(g - 2)
Let -96*w**4 + 780*w**3 - 1527*w**2 + 108*w + 135 = 0. What is w?
-1/4, 3/8, 3, 5
Factor -2*h**3 + 274*h**2 + 554*h + 278.
-2*(h - 139)*(h + 1)**2
Factor -k**2 + 12*k + 13.
-(k - 13)*(k + 1)
Solve -2*l**2/3 - 322*l/3 = 0.
-161, 0
Solve -2*l**4/5 - 6*l**3/5 + 68*l**2/5 + 48*l = 0.
-5, -4, 0, 6
Determine w so that w**3/6 - w**2/6 - w/3 = 0.
-1, 0, 2
Let -3*i**3 - 54*i**2 - 288*i - 480 = 0. What is i?
-10, 