e w, given that -4*w**2 + 716*w - 712 = 0.
1, 178
Factor 2*d**2/11 + 336*d/11 + 14112/11.
2*(d + 84)**2/11
Suppose -4*i**2 + 11752*i - 8631844 = 0. What is i?
1469
Factor n**5 + 1865*n**4 + 1160650*n**3 + 241798770*n**2 + 480123045*n + 239483061.
(n + 1)**2*(n + 621)**3
Let -2*d**4/9 + 10*d**3/9 + 56*d**2/9 - 64*d/9 = 0. Calculate d.
-4, 0, 1, 8
What is v in 35*v**4 - 535*v**3 + 1095*v**2 - 725*v + 130 = 0?
2/7, 1, 13
Let -2*m**4/5 - 76*m**3/5 - 794*m**2/5 - 1368*m/5 - 648/5 = 0. Calculate m.
-18, -1
Determine i, given that 4*i**2 + 136*i = 0.
-34, 0
Determine d, given that d**3/5 - 141*d**2/5 + 6627*d/5 - 103823/5 = 0.
47
Let 2*g**4/3 + 10*g**3/3 - 8*g**2/3 - 40*g/3 = 0. What is g?
-5, -2, 0, 2
Solve 2*o**3/7 + 544*o**2/7 + 1082*o/7 + 540/7 = 0.
-270, -1
Factor -3*u**3 - 93*u**2 + 3135*u - 19239.
-3*(u - 11)**2*(u + 53)
Let -c**2 - 13*c = 0. Calculate c.
-13, 0
Suppose -2*b**2/5 - 74*b/5 - 264/5 = 0. Calculate b.
-33, -4
Determine a, given that 27*a**4 - 426*a**3 + 957*a**2 + 234*a = 0.
-2/9, 0, 3, 13
Solve 2*v**3 + 8*v**2 + 8*v = 0 for v.
-2, 0
Factor -2*d**4 + 8*d**2.
-2*d**2*(d - 2)*(d + 2)
Factor -861*p**2 + 3*p.
-3*p*(287*p - 1)
Find v, given that -2*v**4 - 14*v**3 - 30*v**2 - 26*v - 8 = 0.
-4, -1
Factor -4*q**3/5 + 8*q**2/5 + 4*q/5 - 8/5.
-4*(q - 2)*(q - 1)*(q + 1)/5
Solve 18*b**5 + 1400*b**4 + 2442*b**3 + 756*b**2 - 304*b = 0 for b.
-76, -1, 0, 2/9
Solve -335*r**2 - 5*r = 0 for r.
-1/67, 0
Find g such that -g**2 + 6*g - 5 = 0.
1, 5
Factor -3*a**3/2 - 3*a**2 + 39*a/2 - 15.
-3*(a - 2)*(a - 1)*(a + 5)/2
Let z**3 + 62*z**2 + 896*z - 2048 = 0. What is z?
-32, 2
Let j**2 - 15*j - 154 = 0. Calculate j.
-7, 22
Solve -3*j**2 - 36*j + 192 = 0.
-16, 4
What is r in 10*r**3 + 4*r**2 = 0?
-2/5, 0
Factor 6*q**3/7 + 51*q**2 - 2304*q/7 + 3537/7.
3*(q - 3)**2*(2*q + 131)/7
Let 5*q**5/4 + 60*q**4 - 505*q**3/2 + 385*q**2 - 1035*q/4 + 65 = 0. Calculate q.
-52, 1
Factor 72*c**2 - 862*c + 188.
2*(4*c - 47)*(9*c - 2)
Let 2*g**2 + 18*g + 28 = 0. What is g?
-7, -2
Let -3*k**3/5 + 42*k**2/5 = 0. What is k?
0, 14
Suppose -y**4/5 + 8*y**2/5 - 16/5 = 0. Calculate y.
-2, 2
Factor 4*c**5 - 48*c**4 - 108*c**3 + 1944*c**2.
4*c**2*(c - 9)**2*(c + 6)
Factor 6*k**4 - 14*k**3 - 4*k**2 + 16*k.
2*k*(k - 2)*(k + 1)*(3*k - 4)
Factor -10*v**3 - 155*v**2 + 1185*v + 630.
-5*(v - 6)*(v + 21)*(2*v + 1)
Factor o**2/3 + 3*o.
o*(o + 9)/3
Solve -q**4 + 67*q**2 - 294*q + 360 = 0 for q.
-10, 3, 4
Determine x, given that -6*x**3 + 14*x**2 - 10*x + 2 = 0.
1/3, 1
Suppose -2346125*v**4 - 18755300*v**3 - 37428420*v**2 + 219040*v - 320 = 0. Calculate v.
-4, 2/685
Let -2*z**2 + 8*z + 10 = 0. Calculate z.
-1, 5
Factor 3*l**2/7 + 684*l + 272916.
3*(l + 798)**2/7
Find r such that 14*r**4 + 236*r**3 + 386*r**2 - 60*r = 0.
-15, -2, 0, 1/7
What is n in 4*n**3/5 - 28*n**2/5 + 8*n/5 + 32 = 0?
-2, 4, 5
Factor -3*u**2/7 - 183*u/7 + 186/7.
-3*(u - 1)*(u + 62)/7
Determine d, given that d**4 - 29*d**3 - 75*d**2 + 4473*d + 13230 = 0.
-10, -3, 21
Suppose 9*p**3/2 + 1043*p**2/4 + 242*p - 57/4 = 0. Calculate p.
-57, -1, 1/18
Determine h so that -h**5/5 + 13*h**4 - 181*h**3/5 - 313*h**2/5 + 182*h/5 + 248/5 = 0.
-1, 1, 4, 62
Factor -i**3 + 12*i**2 - 41*i + 30.
-(i - 6)*(i - 5)*(i - 1)
Factor -9*q**3 - 78*q**2 - 192*q - 96.
-3*(q + 4)**2*(3*q + 2)
What is b in -b**3/9 + 35*b**2/9 - 22*b/3 = 0?
0, 2, 33
Find x, given that -2*x**5 - 438*x**4/7 - 544*x**3/7 - 120*x**2/7 = 0.
-30, -1, -2/7, 0
Factor m**3/3 + 8*m**2/3 - 20*m/3.
m*(m - 2)*(m + 10)/3
Solve t**5/4 - 25*t**4/2 - 211*t**3/4 - 67*t**2 - 27*t = 0 for t.
-2, -1, 0, 54
Let -2*j**5 + 18*j**4 - 18*j**3 - 98*j**2 - 60*j = 0. Calculate j.
-1, 0, 5, 6
Solve -9*x**3/5 + 48*x**2/5 - 52*x/5 + 16/5 = 0 for x.
2/3, 4
Factor 3*b**3 - 12*b**2 - 63*b.
3*b*(b - 7)*(b + 3)
Find v, given that 6*v**3/11 + 42*v**2/11 - 24*v/11 - 168/11 = 0.
-7, -2, 2
Solve o**4/2 + o**3 + o**2/2 = 0.
-1, 0
Factor -3*f**3 + 6*f**2.
-3*f**2*(f - 2)
Find c, given that 36*c**5 - 56*c**4 - 32*c**3 + 72*c**2 - 4*c - 16 = 0.
-1, -4/9, 1
Factor -2*h**2/5 + 166*h/5 + 372.
-2*(h - 93)*(h + 10)/5
Factor 4*u**3 - 44*u**2 - 372*u - 612.
4*(u - 17)*(u + 3)**2
Determine z so that 5*z**2 - 1035*z - 2090 = 0.
-2, 209
Let 2*l**2 - 2574*l + 5140 = 0. What is l?
2, 1285
Factor -c**5/4 + 3*c**4/2 - 9*c**3/4.
-c**3*(c - 3)**2/4
Determine h, given that 6*h**2 + 530*h - 356 = 0.
-89, 2/3
Factor g**3 + 7*g**2 + 11*g + 5.
(g + 1)**2*(g + 5)
Factor 3*h**2 + 858*h + 61347.
3*(h + 143)**2
Factor 2*q**3/5 - 722*q**2/5 + 59408*q/5 + 212064.
2*(q - 188)**2*(q + 15)/5
Determine g, given that -3*g**2/5 + 1056*g/5 - 92928/5 = 0.
176
Let -75*u**3 - 12915*u**2 - 549477*u + 562467 = 0. What is u?
-433/5, 1
Let -a**4/2 - 111*a**3 + 223*a**2/2 = 0. Calculate a.
-223, 0, 1
Determine b, given that 2*b**5/9 + 26*b**4/9 + 14*b**3/9 - 682*b**2/9 - 1312*b/9 - 640/9 = 0.
-8, -1, 5
Factor 3*k**3 - 159*k**2 + 2184*k - 2028.
3*(k - 26)**2*(k - 1)
Factor 5*z**3/3 - 95*z**2/3.
5*z**2*(z - 19)/3
Factor d**2 + 14*d - 15.
(d - 1)*(d + 15)
Find h such that h**4 - 391*h**3 + 1155*h**2 + 3487*h + 1940 = 0.
-1, 5, 388
Determine g, given that 2*g**2/23 - 34*g/23 + 84/23 = 0.
3, 14
Suppose 14*d**4 + 102*d**3 + 238*d**2 + 186*d + 36 = 0. Calculate d.
-3, -1, -2/7
What is s in 2*s**3/5 + 222*s**2/5 - 90*s + 226/5 = 0?
-113, 1
Solve 14*r**3 + 206*r**2 - 284*r + 64 = 0 for r.
-16, 2/7, 1
What is z in 2*z**2/11 - 174*z/11 + 1800/11 = 0?
12, 75
Factor 14*w**2 + 60*w + 16.
2*(w + 4)*(7*w + 2)
Determine i so that -3*i**3 + 1749*i**2 - 254040*i - 255792 = 0.
-1, 292
Suppose t**5/9 - 56*t**4/9 + 313*t**3/9 - 662*t**2/9 + 604*t/9 - 200/9 = 0. What is t?
1, 2, 50
Factor 2*h**3/5 + 18*h**2 + 1056*h/5 + 968/5.
2*(h + 1)*(h + 22)**2/5
Suppose 5*m**5 + 15*m**4 - 5*m**3 - 15*m**2 = 0. What is m?
-3, -1, 0, 1
Factor 2*j**3/3 - 94*j**2/3 + 638*j/3 - 182.
2*(j - 39)*(j - 7)*(j - 1)/3
Factor -15*g**2 - 384*g + 567.
-3*(g + 27)*(5*g - 7)
Suppose n**2 - 323*n + 322 = 0. What is n?
1, 322
Determine x so that 18*x**2/5 + 28*x/5 - 16/5 = 0.
-2, 4/9
What is s in 2*s**4/17 - 14*s**3/17 + 36*s**2/17 - 40*s/17 + 16/17 = 0?
1, 2
What is o in 14*o**2/23 + 16*o + 104/23 = 0?
-26, -2/7
Factor -4*u**3/9 - 62*u**2/3 - 736*u/3 - 1058/9.
-2*(u + 23)**2*(2*u + 1)/9
Find y such that 2*y**5/3 + 22*y**4/3 + 20*y**3/3 = 0.
-10, -1, 0
Determine w so that -4*w**2 + 128*w + 272 = 0.
-2, 34
Let -a**2/2 - 6*a = 0. Calculate a.
-12, 0
Find x such that 2*x**4/3 + 202*x**3/9 - 580*x**2/3 + 896*x/3 + 2624/9 = 0.
-41, -2/3, 4
Solve -5*h**5 + 75*h**4 - 275*h**3 + 225*h**2 + 280*h - 300 = 0 for h.
-1, 1, 2, 3, 10
Factor -2*z**2/11 - 1624*z/11 - 329672/11.
-2*(z + 406)**2/11
Factor n**2/2 + 11*n + 121/2.
(n + 11)**2/2
Factor -4*s**4 + 72*s**2 - 324.
-4*(s - 3)**2*(s + 3)**2
Let -r**2/11 + 4*r/11 - 3/11 = 0. What is r?
1, 3
Solve -4*k**2 - 732*k + 2992 = 0 for k.
-187, 4
Factor -2*d**2/9 + 14*d/3 - 12.
-2*(d - 18)*(d - 3)/9
Let -25*l**3 + 35*l**2 - 10*l = 0. Calculate l.
0, 2/5, 1
Determine m so that -33*m**2/2 - 1323*m - 240 = 0.
-80, -2/11
Let 2*f**2/3 + 58*f/3 + 36 = 0. What is f?
-27, -2
Factor -r**3 - r**2 + 5*r - 3.
-(r - 1)**2*(r + 3)
Solve -5*z**2 - 150*z + 680 = 0.
-34, 4
Determine r, given that -3*r**2/4 + 6*r + 195/4 = 0.
-5, 13
Factor w**2 - 28*w - 60.
(w - 30)*(w + 2)
Factor 35*w**5 + 180*w**4 + 370*w**3 + 380*w**2 + 195*w + 40.
5*(w + 1)**4*(7*w + 8)
Find u, given that -u**3/4 - 11*u**2 + 91*u/4 - 23/2 = 0.
-46, 1
Suppose 3*w**3/4 - 45*w**2/2 + 225*w - 750 = 0. What is w?
10
Factor -n**3/6 - 229*n**2/6 - 2204*n - 2166.
-(n + 1)*(n + 114)**2/6
Determine w, given that -8*w**2 + 194*w - 48 = 0.
1/4, 24
Factor 16*h**3 + 324*h**2/5 + 256*h/5 + 12/5.
4*(h + 1)*(h + 3)*(20*h + 1)/5
Factor 2*s**3/9 - 104*s**2/3 + 5408*s/3 - 281216/9.
2*(s - 52)**3/9
Determine c so that -2*c**3 + 40*c**2 - 106*c + 68 = 0.
1, 2, 17
Factor -3*u**3/7 + 24*u**2/7 - 9*u + 54/7.
-3*(u - 3)**2*(u - 2)/7
Find m such that -m**2/5 - 104*m/5 - 2704/5 = 0.
-52
Factor -3*z**3/4 + 75*z**2/4 - 117*z.
-3*z*(z - 13)*(z - 12)/4
Suppose -x**5 + 12*x**4 + 4*x**3 - 48*x**2 = 0. What is x?
-2, 0, 2, 12
Find q such that q**2/2 + 1029*q + 1058841/2 = 0.
-1029
Find k, given that -k**5 - 13*k**4 - 28*k**3 + 32*k**2 + 128*k + 80 = 0.
-10, -2, -1, 2
Factor -48*l**2 + 24*l - 3.
-3*(4*l - 1)**2
Let 2*f**2 - 264*f + 1512 = 0. What is f?
6, 126
Fact