- 258 = 0.
1, 129
Suppose -4*k**4/7 - 124*k**3/7 + 264*k**2/7 = 0. What is k?
-33, 0, 2
Factor 4*n**3 - 24*n**2 - 16*n + 96.
4*(n - 6)*(n - 2)*(n + 2)
Solve -3*i**5 + 38*i**4/3 - 17*i**3/3 - 52*i**2/3 + 4*i = 0.
-1, 0, 2/9, 2, 3
Determine a, given that -22*a**5/13 - 116*a**4/13 - 96*a**3/13 + 180*a**2/13 + 54*a/13 = 0.
-3, -3/11, 0, 1
Solve -t**2 - 30*t - 29 = 0 for t.
-29, -1
Factor 5*t**2/7 + 113*t/7 - 46/7.
(t + 23)*(5*t - 2)/7
Factor 3*c**5/2 + 27*c**4/2 + 36*c**3 + 24*c**2.
3*c**2*(c + 1)*(c + 4)**2/2
Factor -l**2/4 + 49*l/4 - 132.
-(l - 33)*(l - 16)/4
Suppose t**2 - 248*t + 1452 = 0. Calculate t.
6, 242
Factor -2*b**3 + 636*b**2 + 1926*b.
-2*b*(b - 321)*(b + 3)
Suppose 3*a**3 - 9*a**2 + 6*a = 0. What is a?
0, 1, 2
Factor -50*r**3 + 1220*r**2 - 482*r + 48.
-2*(r - 24)*(5*r - 1)**2
Find i such that i**2/3 - 5*i/3 + 2 = 0.
2, 3
Factor t**4/3 + 48*t**3 + 5464*t**2/3 + 6720*t + 19600/3.
(t + 2)**2*(t + 70)**2/3
Factor 2*d**5/11 + 8*d**4/11 - 32*d**2/11 - 32*d/11.
2*d*(d - 2)*(d + 2)**3/11
Factor 30*n**2 - 57*n - 6.
3*(n - 2)*(10*n + 1)
Find a such that 3*a**5 - 42*a**4 - 150*a**3 - 60*a**2 + 147*a + 102 = 0.
-2, -1, 1, 17
Determine w, given that w**3 + 2*w**2 - 7*w + 4 = 0.
-4, 1
Solve a**2/5 - 41*a/5 + 8 = 0 for a.
1, 40
Factor -4*q**2 - 2636*q - 5256.
-4*(q + 2)*(q + 657)
Determine c, given that 2*c**5/3 + 58*c**4/3 + 446*c**3/3 + 334*c**2/3 - 448*c/3 - 392/3 = 0.
-14, -1, 1
Factor 2*r**3/7 + 38*r**2/7 + 36*r/7.
2*r*(r + 1)*(r + 18)/7
What is q in -q**5/2 + 4*q**3 - 8*q = 0?
-2, 0, 2
Solve -4*m**3 + 396*m**2 - 13068*m + 143748 = 0 for m.
33
Factor 2*r**4/7 + 32*r**3/7 + 156*r**2/7 + 32*r + 14.
2*(r + 1)**2*(r + 7)**2/7
Factor v**3 - 34*v**2 + 303*v - 630.
(v - 21)*(v - 10)*(v - 3)
Factor 20*f**4 - 15*f**3 - 45*f**2 - 10*f.
5*f*(f - 2)*(f + 1)*(4*f + 1)
Factor 3*f**2 + 66*f + 255.
3*(f + 5)*(f + 17)
Factor -5*w**3 + 70*w**2 + 155*w + 80.
-5*(w - 16)*(w + 1)**2
Find k such that -14*k**4/3 + 34*k**3 - 42*k**2 - 182*k/3 + 20 = 0.
-1, 2/7, 3, 5
Suppose 2*d**3 + 74*d**2 + 142*d + 70 = 0. Calculate d.
-35, -1
What is q in -2*q**3 - 220*q**2 + 222*q = 0?
-111, 0, 1
Factor 5*m**2 + 100*m + 95.
5*(m + 1)*(m + 19)
Suppose -2*i**4 + 22*i**3/3 - 4*i**2 - 8*i + 16/3 = 0. What is i?
-1, 2/3, 2
Factor -2*x**5/7 + 6*x**3/7 - 4*x**2/7.
-2*x**2*(x - 1)**2*(x + 2)/7
Find s such that s**2/6 + 28*s/3 + 392/3 = 0.
-28
Factor 2*y**3/9 - 98*y/9.
2*y*(y - 7)*(y + 7)/9
Factor -10*z**3/7 - 8*z**2 - 64*z/7.
-2*z*(z + 4)*(5*z + 8)/7
Determine b so that b**2/2 - 14*b + 48 = 0.
4, 24
Factor 1156*o**3 + 884*o**2 - 256*o + 16.
4*(o + 1)*(17*o - 2)**2
Suppose 3*x**4 + 120*x**3 - 414*x**2 - 1176*x - 645 = 0. Calculate x.
-43, -1, 5
Find q such that -4*q**4 - 24*q**3 - 36*q**2 - 16*q = 0.
-4, -1, 0
Let -20*s**4 - 36*s**3 + 172*s**2 + 36*s - 152 = 0. What is s?
-19/5, -1, 1, 2
Find j, given that 2*j**2/11 + 844*j/11 + 1680/11 = 0.
-420, -2
Factor -3*x**5 + 6*x**3 - 3*x.
-3*x*(x - 1)**2*(x + 1)**2
Let 30*y**5 - 344*y**4 + 890*y**3 + 552*y**2 + 72*y = 0. Calculate y.
-1/3, -1/5, 0, 6
Factor -2*g**5 - 26*g**4 - 96*g**3 - 72*g**2.
-2*g**2*(g + 1)*(g + 6)**2
Factor -3*v**3/7 + 132*v**2/7 - 240*v + 4800/7.
-3*(v - 20)**2*(v - 4)/7
Factor -3*h**3 - 18885*h**2 - 29710824*h + 29729712.
-3*(h - 1)*(h + 3148)**2
Find s such that 4*s**3 + 92*s**2/7 - 88*s/7 - 32/7 = 0.
-4, -2/7, 1
Determine s, given that 2*s**4/9 + 34*s**3/9 + 76*s**2/9 - 136*s/9 - 112/3 = 0.
-14, -3, -2, 2
Determine c, given that c**5 - 3*c**4 - c**3 + 11*c**2 - 12*c + 4 = 0.
-2, 1, 2
Determine k so that 3*k**4 + 3*k**3 - 12*k**2 - 12*k = 0.
-2, -1, 0, 2
Suppose p**4 + 73*p**3/5 + 57*p**2 + 119*p/5 - 98/5 = 0. What is p?
-7, -1, 2/5
Determine n, given that 4*n**4/3 - 592*n**3/3 - 2496*n**2 - 30464*n/3 - 40960/3 = 0.
-4, 160
What is o in 5*o**4/4 - o**3/2 - 15*o**2/4 - o + 1 = 0?
-1, 2/5, 2
Factor i**4/4 - i**3/4 - i**2/4 + i/4.
i*(i - 1)**2*(i + 1)/4
Determine x, given that -3*x**3/5 + 24*x**2 - 231*x/5 + 114/5 = 0.
1, 38
Factor 5*r**4 + 35*r**3 - 5*r**2 - 35*r.
5*r*(r - 1)*(r + 1)*(r + 7)
Solve 2*x**5 - 24*x**4 + 106*x**3 - 212*x**2 + 192*x - 64 = 0.
1, 2, 4
Determine t so that -2*t**2 + 18 = 0.
-3, 3
Find y such that -5*y**3 - 23*y**2 - 24*y = 0.
-3, -8/5, 0
Let -2*g**5/9 + 16*g**4/3 + 418*g**3/9 + 176*g**2/3 - 992*g/9 = 0. Calculate g.
-4, 0, 1, 31
Solve 3*d**2/4 - 675*d + 2697/4 = 0 for d.
1, 899
Find u such that -u**2/5 + 107*u/5 + 1968/5 = 0.
-16, 123
Suppose 5*i**4 - 135*i**3 + 370*i**2 - 240*i = 0. What is i?
0, 1, 2, 24
Solve -2*o**5/13 - 1158*o**4/13 - 223486*o**3/13 - 14373482*o**2/13 + 893976*o/13 + 57512456/13 = 0.
-193, -2, 2
Let -f**3/4 + 209*f**2/4 - 411*f/4 - 621/4 = 0. What is f?
-1, 3, 207
Suppose -5*k**3 - 655*k**2 + 1325*k - 665 = 0. Calculate k.
-133, 1
Factor n**4/2 - 61*n**3/2 + 1015*n**2/2 - 2523*n/2.
n*(n - 29)**2*(n - 3)/2
Solve 3*y**2/4 - 495*y/2 + 987/4 = 0 for y.
1, 329
Let -2*x**3/3 - 58*x**2/3 - 448*x/3 - 392/3 = 0. Calculate x.
-14, -1
Find n such that -4*n**4/5 - 12*n**3 - 144*n**2/5 + 112*n = 0.
-10, -7, 0, 2
Factor 5*h**4 - 10*h**3 - 75*h**2 - 20*h + 100.
5*(h - 5)*(h - 1)*(h + 2)**2
Factor -405*f**4 - 3420*f**3 - 1460*f**2 - 160*f.
-5*f*(f + 8)*(9*f + 2)**2
Find f, given that 3*f**2/2 - 69*f/2 = 0.
0, 23
Determine n so that 3*n**5/2 - 27*n**4 + 195*n**3/2 = 0.
0, 5, 13
Let -2*w**4 - 122*w**3 + 512*w**2 - 520*w = 0. Calculate w.
-65, 0, 2
Find u such that -10*u**4 + 486*u**3 - 2064*u**2 + 1736*u + 1056 = 0.
-2/5, 2, 3, 44
Suppose -2*d**3/15 - 286*d**2/5 - 40898*d/5 - 5848414/15 = 0. What is d?
-143
Factor -19200*m**2 - 240*m - 3/4.
-3*(160*m + 1)**2/4
Factor -4*u**2 + 88*u + 192.
-4*(u - 24)*(u + 2)
Solve 170*g**4 - 665*g**3 + 790*g**2 - 265*g - 30 = 0.
-3/34, 1, 2
Suppose -5*f**5 - 75*f**4 - 10*f**3 + 980*f**2 + 2040*f + 1120 = 0. What is f?
-14, -2, -1, 4
Find h, given that -2*h**5 + 42*h**4 + 98*h**3 - 122*h**2 - 360*h - 184 = 0.
-2, -1, 2, 23
Factor 3*d**4/5 - 27*d**3/5 - 81*d**2 - 1377*d/5 - 1458/5.
3*(d - 18)*(d + 3)**3/5
What is j in -2*j**5 - 16*j**4 - 24*j**3 = 0?
-6, -2, 0
Solve 12*h**5 + 1256*h**4 - 2976*h**3 + 2136*h**2 - 428*h = 0 for h.
-107, 0, 1/3, 1
Factor 4*q**4/3 + 44*q**3/3 - 16*q**2.
4*q**2*(q - 1)*(q + 12)/3
Find h such that 24*h**4 - 1020*h**3 + 1494*h**2 - 741*h + 123 = 0.
1/2, 41
Determine p, given that 5*p**4 - 50*p**3 + 180*p**2 - 270*p + 135 = 0.
1, 3
Let 44*f**2 - 2072*f + 188 = 0. Calculate f.
1/11, 47
Determine p so that p**2/5 + 717*p/5 - 1438/5 = 0.
-719, 2
Solve 2*x**2/7 - 26*x + 1328/7 = 0.
8, 83
Suppose 2*m**5/3 + 34*m**4/3 + 50*m**3 + 206*m**2/3 + 88*m/3 = 0. What is m?
-11, -4, -1, 0
Solve -4*n**5 + 56*n**4 + 144*n**3 - 248*n**2 - 140*n + 192 = 0 for n.
-3, -1, 1, 16
Solve 4*b**3 + 128*b**2 + 1024*b = 0 for b.
-16, 0
Factor -36*m**3 + 292*m**2 - 608*m + 64.
-4*(m - 4)**2*(9*m - 1)
Factor -84034114959*d**3/4 - 83010321*d**2/2 - 27333*d - 6.
-3*(3037*d + 2)**3/4
Suppose -2*z**2/3 - 364*z/3 - 16562/3 = 0. What is z?
-91
Factor -70756*s**4/3 + 2128*s**3/3 - 16*s**2/3.
-4*s**2*(133*s - 2)**2/3
Suppose -2*s**2/5 - 708*s/5 + 2142/5 = 0. What is s?
-357, 3
Solve -3*m**4 + 90*m**3 - 171*m**2 + 84*m = 0 for m.
0, 1, 28
Let t**3 - 70*t**2 + 1537*t - 10092 = 0. Calculate t.
12, 29
Solve -2*i**5 + 6*i**4 - 2*i**3 - 6*i**2 + 4*i = 0 for i.
-1, 0, 1, 2
Factor 2*v**2/3 + 18*v.
2*v*(v + 27)/3
Find w such that w**3/5 - 16*w**2/5 + 16*w - 128/5 = 0.
4, 8
Suppose b**3/2 + 11*b**2/4 - 3*b/2 = 0. What is b?
-6, 0, 1/2
Factor d**2/4 - 21*d/4 + 19/2.
(d - 19)*(d - 2)/4
What is k in -3*k**2 - 339*k + 3294 = 0?
-122, 9
Factor -p**2/3 + 28*p - 81.
-(p - 81)*(p - 3)/3
Factor 4*f**4 + 92*f**3 - 928*f**2 + 1984*f.
4*f*(f - 4)**2*(f + 31)
Factor 2*i**2/11 - 1008*i/11 + 127008/11.
2*(i - 252)**2/11
Find n, given that 3*n**5 + 12*n**4 - 51*n**3 - 180*n**2 = 0.
-5, -3, 0, 4
Find t, given that t**3/4 - 31*t**2/4 - 8*t = 0.
-1, 0, 32
Factor -2*j**2/11 + 8*j/11 + 24/11.
-2*(j - 6)*(j + 2)/11
Find i, given that -2*i**3 + 23*i**2/2 + 67*i/4 + 21/4 = 0.
-3/4, -1/2, 7
What is p in -2*p**2/9 - 394*p/9 + 44 = 0?
-198, 1
Factor -28*v**2 + 4*v.
-4*v*(7*v - 1)
Factor -p**3 - 116*p**2 - 339*p.
-p*(p + 3)*(p + 113)
Factor -3*j**3/2 + 3*j/2.
-3*j*(j - 1)*(j + 1)/2
Let m**2/9 + 610*m/3 + 93025 = 0. Calculate m.
-915
Suppose 4*r**4 - 156*r**3 + 1597*r**2 - 1482*r + 361 = 0. What is r?
1/2, 19
D