e p.
-182, 3
Suppose -36*c**4 + 204*c**3 + 104*c**2 - 176*c - 96 = 0. What is c?
-2/3, 1, 6
Solve g**4/3 + 5*g**3 - 52*g**2/3 + 12*g = 0 for g.
-18, 0, 1, 2
What is u in 3*u**4 + 6*u**3 - 9*u**2 - 12*u + 12 = 0?
-2, 1
Factor 9*c**2/2 + 17319*c/2 + 2886.
3*(c + 1924)*(3*c + 1)/2
Factor 4*j**3/5 - 584*j**2/5 + 5476*j/5 - 4896/5.
4*(j - 136)*(j - 9)*(j - 1)/5
Factor r**2/3 + 71*r + 212/3.
(r + 1)*(r + 212)/3
Solve 5*z**3 - 420*z**2 + 825*z - 410 = 0 for z.
1, 82
Find b such that -3*b**4 - 183*b**3 + 285*b**2 + 6327*b + 11718 = 0.
-62, -3, 7
Determine p, given that -5*p**2 + 45*p - 90 = 0.
3, 6
Find r, given that -r**2 = 0.
0
Factor 2*m**3/9 - 60*m**2 + 178*m/3 + 1076/9.
2*(m - 269)*(m - 2)*(m + 1)/9
Determine u, given that 4*u**3/9 - 40*u**2/9 - 92*u/3 - 40 = 0.
-3, -2, 15
Factor -3*i**3/2 + 11259*i**2/2 - 14085009*i/2 + 5873448753/2.
-3*(i - 1251)**3/2
Factor -3*j**2 + 228*j - 225.
-3*(j - 75)*(j - 1)
Determine s, given that -2*s**2/11 + 40*s/11 - 128/11 = 0.
4, 16
What is q in -2*q**3 - 28*q**2 + 34*q + 60 = 0?
-15, -1, 2
Factor 2*h**3/9 + 34*h**2/9 + 32*h/9.
2*h*(h + 1)*(h + 16)/9
Solve o**5 - 33*o**4 + 282*o**3 - 64*o**2 - 1536*o = 0 for o.
-2, 0, 3, 16
What is r in 2*r**3/7 + 2*r**2 + 4*r + 16/7 = 0?
-4, -2, -1
Solve -2*c**3/5 + 18*c**2/5 - 6*c + 14/5 = 0 for c.
1, 7
What is h in h**2 - 116*h + 3364 = 0?
58
Determine j so that -4*j**2/3 - 36*j + 112/3 = 0.
-28, 1
Let i**2/3 - 14*i/3 - 24 = 0. Calculate i.
-4, 18
Suppose o**3/3 + 5*o**2 - 148*o/3 + 44 = 0. Calculate o.
-22, 1, 6
Factor -2*w**2/5 - 184*w/5 - 4232/5.
-2*(w + 46)**2/5
Solve 3*x**3 + 18*x**2 + 15*x = 0.
-5, -1, 0
Find m such that m**3/3 - 10*m**2/3 + 8*m = 0.
0, 4, 6
Factor -5*q**3/3 + 25*q**2 - 120*q + 180.
-5*(q - 6)**2*(q - 3)/3
Find p, given that 2*p**4/21 + 8*p**3/3 + 52*p**2/7 + 152*p/21 + 50/21 = 0.
-25, -1
Let -3*x**3 - 390*x**2 - 2949*x - 2562 = 0. What is x?
-122, -7, -1
Factor 3*r**4 - 72*r**3 + 195*r**2 - 126*r.
3*r*(r - 21)*(r - 2)*(r - 1)
Let 5*m**3 + 410*m**2 + 1195*m + 790 = 0. Calculate m.
-79, -2, -1
Solve -2*v**2/5 + 276*v/5 - 9522/5 = 0 for v.
69
Let 2*u**4/9 + 280*u**3/9 + 3172*u**2/3 - 19880*u/9 + 10082/9 = 0. Calculate u.
-71, 1
Factor -19*q**2/4 + 17*q/2 + 2.
-(q - 2)*(19*q + 4)/4
Suppose 28*z**3/9 - 316*z**2/9 + 88*z/9 = 0. What is z?
0, 2/7, 11
Solve -2535*c**5/2 - 4407*c**4/2 + 4515*c**3 - 909*c**2 - 351*c/2 + 81/2 = 0 for c.
-3, -1/5, 3/13, 1
Factor -3*n**2 + 21936*n - 40099008.
-3*(n - 3656)**2
Determine z so that 2*z**3 + 40*z**2 - 3000*z = 0.
-50, 0, 30
Determine o, given that o**4/5 + 32*o**3/5 + 51*o**2 - 32*o/5 - 256/5 = 0.
-16, -1, 1
Factor 4*w**3/7 + 25848*w**2/7 + 55676592*w/7 + 39975793056/7.
4*(w + 2154)**3/7
Factor -5*y**2 + 65*y.
-5*y*(y - 13)
Solve 7730448*r**5 - 15812280*r**4 + 12937320*r**3 - 5292540*r**2 + 1082565*r - 177147/2 = 0 for r.
9/22
Solve 2*d**5/9 + 100*d**4/9 - 70*d**3/3 - 100*d**2/9 + 208*d/9 = 0.
-52, -1, 0, 1, 2
Factor w**4/5 - 86*w**3/5 + 332*w**2/5 - 328*w/5.
w*(w - 82)*(w - 2)**2/5
Factor -2*m**2/9 + 1504*m/9 + 3016/9.
-2*(m - 754)*(m + 2)/9
Factor -o**4/2 - 1535*o**3/2 - 294144*o**2 + 294912*o.
-o*(o - 1)*(o + 768)**2/2
Solve 2*z**2/5 + 22*z/5 + 36/5 = 0.
-9, -2
Determine w so that 8*w**5 + 28*w**4 + 16*w**3 - 16*w**2 = 0.
-2, 0, 1/2
Factor 2*r**2/11 - 1376*r/11 + 236672/11.
2*(r - 344)**2/11
What is f in f**2/2 - 1109*f + 1229881/2 = 0?
1109
Suppose 15*p**3 - 385*p**2 + 2405*p + 845 = 0. What is p?
-1/3, 13
Suppose -5*m**3 - 65*m**2 + 805*m - 735 = 0. What is m?
-21, 1, 7
Factor 3*y**2/7 - 258*y/7 + 5547/7.
3*(y - 43)**2/7
Determine f, given that -3*f**4 - 45*f**3 + 81*f**2 + 2145*f - 2178 = 0.
-11, 1, 6
Suppose 5*x**2 + 1015*x + 3000 = 0. Calculate x.
-200, -3
Factor 4*v**5 - 16*v**4 - 84*v**3 - 16*v**2 + 112*v.
4*v*(v - 7)*(v - 1)*(v + 2)**2
Suppose -k**4/3 + 22*k**3/3 - 19*k**2/3 - 14*k = 0. What is k?
-1, 0, 2, 21
Find k such that 52*k**5 - 2764*k**4 + 424*k**3 = 0.
0, 2/13, 53
Factor 3*y**4 + 14259*y**3 + 16950384*y**2 + 16936128*y.
3*y*(y + 1)*(y + 2376)**2
Factor z**2 - 650*z - 651.
(z - 651)*(z + 1)
Let 3*d**5 - 61*d**4/3 - 239*d**3/3 + 553*d**2/3 - 190*d/3 - 24 = 0. What is d?
-4, -2/9, 1, 9
Let -6*a**2/7 + 23924*a/7 - 7974/7 = 0. Calculate a.
1/3, 3987
Suppose -288*h**4 + 7152*h**3/7 + 178*h**2/7 - 12354*h/7 - 3364/7 = 0. Calculate h.
-1, -2/7, 29/12
Factor 2*s**3/5 - 10*s**2/3 + 58*s/15 - 14/15.
2*(s - 7)*(s - 1)*(3*s - 1)/15
Factor c**5 - 17*c**4 + 106*c**3 - 290*c**2 + 325*c - 125.
(c - 5)**3*(c - 1)**2
Factor -d**2 - 14*d + 72.
-(d - 4)*(d + 18)
Let -100*f**2 + 1120*f - 3136 = 0. What is f?
28/5
Let -h**2 - 824*h + 825 = 0. What is h?
-825, 1
Factor 9*x**2 + 33*x + 18.
3*(x + 3)*(3*x + 2)
Determine z, given that 2*z**4/5 + 34*z**3/5 + 174*z**2/5 + 182*z/5 - 392/5 = 0.
-7, -4, 1
What is v in 12*v**3 + 4947*v**2 + 510468*v + 127308 = 0?
-206, -1/4
Determine n so that 2*n**5/7 + 676*n**4/7 - 1360*n**3/7 + 4*n**2/7 + 194*n - 680/7 = 0.
-340, -1, 1
Find c such that -3*c**4 + 132*c**3 + 414*c**2 + 420*c + 141 = 0.
-1, 47
Solve 20*l**3/3 - 36*l**2 + 40*l - 32/3 = 0 for l.
2/5, 1, 4
What is b in -2*b**4/9 + b**3/9 + 62*b**2/9 - 91*b/9 + 10/3 = 0?
-6, 1/2, 1, 5
Factor n**3/3 + 42*n**2 - 787*n/3 + 220.
(n - 5)*(n - 1)*(n + 132)/3
What is a in -4*a**4/3 - 32*a**3/3 - 8*a**2/3 + 320*a/3 + 100 = 0?
-5, -1, 3
Let 2*r**4/9 - 310*r**3/9 + 698*r**2/3 - 3266*r/9 + 1480/9 = 0. What is r?
1, 5, 148
Find a such that 2*a**2/11 - 888*a/11 + 98568/11 = 0.
222
Solve b**3 + 291*b**2 + 290*b = 0.
-290, -1, 0
Solve -4*o**5 + 216*o**4 - 2692*o**3 - 6048*o**2 - 3136*o = 0.
-1, 0, 28
Factor 5*y**2/2 - 2985*y/2 - 6010.
5*(y - 601)*(y + 4)/2
Factor -5*w**4 + 60*w**3 + 140*w**2.
-5*w**2*(w - 14)*(w + 2)
Find w, given that -w**4 + 35*w**3 - 96*w**2 - 4*w + 128 = 0.
-1, 2, 32
Suppose -f**2 - 4386*f - 4809249 = 0. What is f?
-2193
Factor 3*p**4 + 156*p**3 - 1194*p**2 + 2628*p - 1593.
3*(p - 3)**2*(p - 1)*(p + 59)
What is g in g**4 - 48*g**3 + 414*g**2 + 3888*g + 6561 = 0?
-3, 27
Factor -176*k**2/3 - 228*k + 80/3.
-4*(k + 4)*(44*k - 5)/3
Solve d**5/2 + 119*d**4/2 + 2208*d**3 + 18900*d**2 - 243432*d + 222264 = 0.
-42, 1, 6
Find a such that -14014952531*a**4/8 - 17438763*a**3/8 - 7233*a**2/8 - a/8 = 0.
-1/2411, 0
Solve -d**5 - 38*d**4 - 134*d**3 + 80*d**2 + 399*d - 306 = 0 for d.
-34, -3, 1
Factor 604*p**2 - 3012*p - 40.
4*(p - 5)*(151*p + 2)
Factor -4*t**2 - 536*t - 2580.
-4*(t + 5)*(t + 129)
Factor -3*i**2 + 5094*i - 2162403.
-3*(i - 849)**2
Suppose -2*v**3/11 - 16*v**2/11 - 18*v/11 + 36/11 = 0. Calculate v.
-6, -3, 1
Factor -3*a**4 + 21*a**3 - 18*a**2 - 84*a + 120.
-3*(a - 5)*(a - 2)**2*(a + 2)
Factor -3*c**3 - 180*c**2 - 3600*c - 24000.
-3*(c + 20)**3
Determine s so that 3*s**2/4 - 108*s + 6477/4 = 0.
17, 127
Determine p so that -2*p**2/9 + 1166*p/9 + 1168/9 = 0.
-1, 584
Factor 3*k**3/5 - 897*k**2/5 + 67497*k/5 - 66603/5.
3*(k - 149)**2*(k - 1)/5
Solve -3*h**4 - 24*h**3 - 15*h**2 + 150*h = 0.
-5, 0, 2
Find g such that -3*g**3/5 + 3*g**2 + 171*g/5 + 297/5 = 0.
-3, 11
Find c, given that 18*c**4/5 + 84*c**3/5 - 136*c**2/5 + 48*c/5 = 0.
-6, 0, 2/3
Find d such that 6*d**5 + 56*d**4 + 158*d**3 + 84*d**2 - 144*d = 0.
-4, -3, 0, 2/3
Suppose -3*p**5/7 + 552*p**4/7 - 24834*p**3/7 - 51336*p**2/7 - 25947*p/7 = 0. What is p?
-1, 0, 93
Find z, given that z**3/5 - 2*z**2/5 - 8*z - 64/5 = 0.
-4, -2, 8
Let 4*n**5/3 + 184*n**4/3 + 2620*n**3/3 + 8200*n**2/3 - 45824*n/3 + 34816/3 = 0. Calculate n.
-17, -16, 1, 2
Let v**5/2 + 270*v**4 + 807*v**3 + 806*v**2 + 537*v/2 = 0. What is v?
-537, -1, 0
Determine j, given that -4*j**4 + 32*j**3 - 60*j**2 - 16*j + 80 = 0.
-1, 2, 5
Suppose 10*j**4 - 294*j**3 - 1150*j**2 - 1242*j - 396 = 0. Calculate j.
-2, -1, -3/5, 33
Find w, given that -2*w**4/5 + 1222*w**3 = 0.
0, 3055
Factor -34171875*w**3 - 10023750*w**2 - 980100*w - 31944.
-3*(225*w + 22)**3
What is c in -12*c**5/5 - 63*c**4/5 + 33*c**3 + 21*c**2 - 153*c/5 - 42/5 = 0?
-7, -1, -1/4, 1, 2
What is q in 4*q**5 + 184*q**4 + 696*q**3 + 1024*q**2 + 676*q + 168 = 0?
-42, -1
Factor 4*h**2 - 4*h - 24.
4*(h - 3)*(h + 2)
Factor -6*f**3/7 - 34*f**2/21 + 4*f/21.
-2*f*(f + 2)*(9*f - 1)/21
Factor -4*d**2/5 - 528*d/5 - 17424/5.
-4*(d + 66)**2/5
Find k, given that -k**4 + 23*k**3 + 34*k**2 - 248*k + 192 = 0.
-4, 1, 2, 24
Factor 5*o**5 + 55*o**4 - 2620*o**3 + 16160*o**2 + 29440*