16*n**3 + 92*n**2 - 36*n - 72.
4*(n - 1)*(n + 6)*(4*n + 3)
Solve 2*l**4/3 + 46*l**3 + 1628*l**2/3 + 1640*l + 4400/3 = 0 for l.
-55, -10, -2
Factor -2*a**2/3 - 2264*a - 1922136.
-2*(a + 1698)**2/3
Suppose -2*f**5/11 + 12*f**4 - 3130*f**3/11 + 31000*f**2/11 - 108000*f/11 + 80000/11 = 0. Calculate f.
1, 5, 20
Factor 7*a**2/6 + 11*a/2 - 5/3.
(a + 5)*(7*a - 2)/6
What is t in 14*t**2/5 + 216*t/5 - 256 = 0?
-20, 32/7
Suppose z**5/4 - 3*z**4/4 - 15*z**3/4 - 17*z**2/4 - 3*z/2 = 0. Calculate z.
-1, 0, 6
Suppose -2*c**5 + 197*c**4/3 - 1487*c**3/3 - 777*c**2 + 2669*c/3 - 578/3 = 0. Calculate c.
-2, 1/3, 1/2, 17
Find g, given that g**4/3 + 2*g**3/3 - 32*g**2/3 - 32*g = 0.
-4, 0, 6
Determine j so that 3*j**5/5 + 63*j**4/5 + 57*j**3 + 45*j**2 = 0.
-15, -5, -1, 0
Solve 11*b**3/4 + 107*b**2/4 + 245*b/4 - 75/4 = 0.
-5, 3/11
Suppose -4*k**4 - 16*k**3 - 12*k**2 + 16*k + 16 = 0. What is k?
-2, -1, 1
Suppose 4*f**2 + 1236*f - 1240 = 0. What is f?
-310, 1
Factor -2*d**3/7 - 38*d**2/7 - 240*d/7 - 72.
-2*(d + 6)**2*(d + 7)/7
Factor 2*n**4 - 52*n**3 + 354*n**2 - 560*n + 256.
2*(n - 16)*(n - 8)*(n - 1)**2
Find p such that p**2/4 - 3*p/2 = 0.
0, 6
Solve -5*r**4 + 45*r**3 - 105*r**2 - 5*r + 150 = 0.
-1, 2, 3, 5
Suppose 5*n**3 - 4630*n**2 + 1067200*n + 2152960 = 0. What is n?
-2, 464
Factor 8*t**3/7 + 102*t**2/7 + 304*t/7 + 30.
2*(t + 1)*(t + 3)*(4*t + 35)/7
Solve w**4 + 84*w**3 + 246*w**2 + 244*w + 81 = 0 for w.
-81, -1
What is r in -2*r**3 - 14*r**2 = 0?
-7, 0
Factor -5*c**3/3 + 20*c**2/3 - 5*c.
-5*c*(c - 3)*(c - 1)/3
Determine z, given that 5*z**2 + 4530*z + 9040 = 0.
-904, -2
Factor -4*i**4 + 44*i**3 - 176*i**2 + 304*i - 192.
-4*(i - 4)*(i - 3)*(i - 2)**2
Factor k**3 + 44*k**2.
k**2*(k + 44)
Factor -15*o**3/2 + 492*o**2 - 15939*o/2 - 3267.
-3*(o - 33)**2*(5*o + 2)/2
Find n, given that 4*n**4 + 3460*n**3 + 998784*n**2 + 96546816*n + 95551488 = 0.
-288, -1
Let -5*x**5 + 265*x**4 - 970*x**3 - 550*x**2 + 2895*x + 2205 = 0. What is x?
-1, 3, 49
Let 12*f**4 + 345*f**3 + 3177*f**2 + 9168*f - 2496 = 0. Calculate f.
-13, -8, 1/4
Factor -m**2/5 - 376*m/5.
-m*(m + 376)/5
Let -v**4/4 - 7*v**3/4 + 27*v**2/4 - 29*v/4 + 5/2 = 0. Calculate v.
-10, 1
Solve 9*c**5 + 21*c**4 - 225*c**3 - 537*c**2 + 300 = 0 for c.
-5, -2, -1, 2/3, 5
Factor 2*d**3/7 - 114*d**2/7 + 316*d/7 + 432/7.
2*(d - 54)*(d - 4)*(d + 1)/7
Find f, given that 10*f**2/3 - 32*f/3 - 14 = 0.
-1, 21/5
Let -a**5/8 - 163*a**4/8 - 629*a**3/4 - 1403*a**2/4 - 2485*a/8 - 775/8 = 0. Calculate a.
-155, -5, -1
Find z such that -9*z**4 - 1383*z**3 - 52899*z**2 + 17787*z = 0.
-77, 0, 1/3
Let 6*o**5 + 106*o**4 + 536*o**3 + 1152*o**2 + 1088*o + 352 = 0. Calculate o.
-11, -2, -2/3
Find a such that -5*a**4 + 110*a**3 - 700*a**2 + 1000*a = 0.
0, 2, 10
Let -245*s**2 - 580*s - 180 = 0. What is s?
-2, -18/49
Factor 4*h**5 + 156*h**4 + 296*h**3.
4*h**3*(h + 2)*(h + 37)
Factor 2*k**2/11 + 22*k + 2996/11.
2*(k + 14)*(k + 107)/11
Solve 2*s**5/5 + 4378*s**4/5 + 4374*s**3/5 - 4378*s**2/5 - 4376*s/5 = 0 for s.
-2188, -1, 0, 1
Factor 4*p**2/7 + 284*p/7.
4*p*(p + 71)/7
Factor -21*y**3/4 + 7407*y**2/4 + 1059*y/2.
-3*y*(y - 353)*(7*y + 2)/4
Let 2*j**2 - 272*j + 9248 = 0. What is j?
68
Factor -d**2 + 1356*d - 459684.
-(d - 678)**2
Suppose -3*z**3 + 282*z**2 - 6027*z - 28812 = 0. What is z?
-4, 49
Let -a**3/4 - 3*a**2 - 21*a/4 - 5/2 = 0. Calculate a.
-10, -1
Factor -f**4 - 5*f**3 + 4*f**2 + 20*f.
-f*(f - 2)*(f + 2)*(f + 5)
Factor b**2 + 29*b - 30.
(b - 1)*(b + 30)
Factor -3*m**2/2 + 1086*m - 2169/2.
-3*(m - 723)*(m - 1)/2
What is t in -4*t**3 - 104*t**2 - 100*t = 0?
-25, -1, 0
Determine a, given that -2*a**2/3 + 10*a - 112/3 = 0.
7, 8
Let b**5/10 + b**4/10 - 3*b**3/5 - 2*b**2/5 + 4*b/5 = 0. Calculate b.
-2, 0, 1, 2
Factor -2*m**4 - 4286*m**3 - 25668*m**2 - 51304*m - 34192.
-2*(m + 2)**3*(m + 2137)
Factor 2*v**4 - 114*v**3 - 4146*v**2 - 32422*v - 28392.
2*(v - 84)*(v + 1)*(v + 13)**2
Suppose -f**2/3 + 4*f - 35/3 = 0. Calculate f.
5, 7
Factor 2*d**5 + 14*d**4 + 38*d**3 + 50*d**2 + 32*d + 8.
2*(d + 1)**3*(d + 2)**2
Suppose -9*g**5 - 15*g**4 + 6*g**3 + 18*g**2 + 3*g - 3 = 0. What is g?
-1, 1/3, 1
Factor 4*w**5 - 8*w**4 - 4*w**3 + 8*w**2.
4*w**2*(w - 2)*(w - 1)*(w + 1)
Find m such that -m**5/6 + 25*m**4/6 + 16*m**3/3 - 26*m**2 = 0.
-3, 0, 2, 26
Factor -q**2 - q + 272.
-(q - 16)*(q + 17)
What is i in -5*i**3 + 80*i**2 - 145*i + 70 = 0?
1, 14
Let -4*j**3/3 + 16*j**2 - 60*j + 200/3 = 0. What is j?
2, 5
Factor 4*a**4/7 + 103*a**3/7 + 650*a**2/7 - 169*a/7.
a*(a + 13)**2*(4*a - 1)/7
Factor -u**4/3 + 13*u**3/3 - 23*u**2/3 + 11*u/3.
-u*(u - 11)*(u - 1)**2/3
Determine h, given that 4*h**3 + 4820*h**2 + 9628*h + 4812 = 0.
-1203, -1
Factor f**2 - 8*f + 15.
(f - 5)*(f - 3)
Find l such that -6*l**4/5 + 194*l**3/5 - 1386*l**2/5 - 1586*l/5 = 0.
-1, 0, 13, 61/3
Factor -5*u**2 + 175*u - 170.
-5*(u - 34)*(u - 1)
Determine l, given that -2*l**3/5 + 8*l**2 - 216*l/5 + 288/5 = 0.
2, 6, 12
Factor y**4/2 - 9*y**3 + 33*y**2/2 + 242*y.
y*(y - 11)**2*(y + 4)/2
Factor -g**4/2 - 510*g**3 - 195075*g**2 - 33162750*g - 4228250625/2.
-(g + 255)**4/2
Factor 30752*v**2/5 - 3472*v/5 + 98/5.
2*(124*v - 7)**2/5
Determine d so that 2*d**3/9 - 16*d**2/3 - 6*d + 100/9 = 0.
-2, 1, 25
Determine r so that -3*r**5 - 9*r**4 + 21*r**3 + 33*r**2 - 18*r - 24 = 0.
-4, -1, 1, 2
Factor t**3/4 + 59*t**2 + 460*t + 912.
(t + 4)**2*(t + 228)/4
Factor -n**5 + 3*n**4 + 2*n**3 - 6*n**2 - n + 3.
-(n - 3)*(n - 1)**2*(n + 1)**2
Solve 3*f**5 - 1035*f**4 + 2061*f**3 - 1029*f**2 = 0.
0, 1, 343
Suppose -2*x**4/19 - 6*x**3/19 + 66*x**2/19 + 70*x/19 = 0. What is x?
-7, -1, 0, 5
Factor -p**4/3 + 2*p**3/3 + 16*p**2.
-p**2*(p - 8)*(p + 6)/3
Factor 3*h**4 - 108*h**3 + 105*h**2.
3*h**2*(h - 35)*(h - 1)
Factor -6*m**2/11 + 40*m/11 + 46/11.
-2*(m + 1)*(3*m - 23)/11
Let 5*t**3 - 20*t**2 - 380*t + 800 = 0. Calculate t.
-8, 2, 10
Factor -4*i**5 + 180*i**4 - 1932*i**3 - 2116*i**2.
-4*i**2*(i - 23)**2*(i + 1)
Find a such that 10*a**5 + 66*a**4 + 22*a**3 - 90*a**2 - 32*a + 24 = 0.
-6, -1, 2/5, 1
Solve 2*f**2 + 488*f + 486 = 0.
-243, -1
Determine s, given that -2*s**5/11 + 84*s**4/11 - 962*s**3/11 + 1680*s**2/11 - 800*s/11 = 0.
0, 1, 20
Factor -k**4/9 - 302*k**3/9 - 7499*k**2/3 + 45904*k/9 - 23104/9.
-(k - 1)**2*(k + 152)**2/9
Factor -3*h**4/2 - 3*h**3 + 9*h**2/2.
-3*h**2*(h - 1)*(h + 3)/2
Factor -y**3 + 122*y**2 - 4505*y + 44944.
-(y - 53)**2*(y - 16)
Determine s so that -s**4 + 3794*s**3 - 3606189*s**2 + 14379260*s - 14364100 = 0.
2, 1895
Factor 69*p**3/2 - 2697*p**2 + 105885*p/2 - 9126.
3*(p - 39)**2*(23*p - 4)/2
Factor 5*w**2 - 5*w - 100.
5*(w - 5)*(w + 4)
Suppose -5*h**2 - 260*h - 500 = 0. What is h?
-50, -2
Factor -402*j**2/11 + 816*j/11 - 24/11.
-6*(j - 2)*(67*j - 2)/11
Factor w**3 - 17*w**2 - 360*w + 6156.
(w - 18)**2*(w + 19)
Factor 8*c**4/5 + 826*c**3/5 + 206*c**2/5.
2*c**2*(c + 103)*(4*c + 1)/5
Factor -y**3 - 176*y**2 + 717*y - 540.
-(y - 3)*(y - 1)*(y + 180)
Solve -2*v**2/7 + 1006*v/7 - 1004/7 = 0.
1, 502
Factor 3*d**4 + 16*d**3 + 15*d**2 - 18*d.
d*(d + 3)**2*(3*d - 2)
Factor -l**5/4 + 10*l**4 - 142*l**3 + 840*l**2 - 1764*l.
-l*(l - 14)**2*(l - 6)**2/4
Let 20*u**2 + 55*u/2 + 15/2 = 0. What is u?
-1, -3/8
Factor 3*v**2/4 + 63*v/2 + 1323/4.
3*(v + 21)**2/4
Factor -2*a**2/3 + 556*a/9 - 368/9.
-2*(a - 92)*(3*a - 2)/9
Factor -4*d**3/7 - 624*d**2 - 227136*d - 27559168.
-4*(d + 364)**3/7
Solve 4*c**5/5 - 8*c**4/5 - 36*c**3/5 + 88*c**2/5 + 16*c/5 - 96/5 = 0 for c.
-3, -1, 2
Find a, given that -2*a**2/13 - 17876*a/13 - 39943922/13 = 0.
-4469
What is p in -p**4/5 + 9*p**3/5 - 22*p**2/5 + 32/5 = 0?
-1, 2, 4
Let -12*b**5 + 321*b**4 - 2619*b**3 + 5001*b**2 + 10131*b + 2178 = 0. Calculate b.
-1, -1/4, 6, 11
Factor -f**2/6 + 188*f/3 - 17672/3.
-(f - 188)**2/6
Factor -q**2 - 22*q + 48.
-(q - 2)*(q + 24)
Let 10*v**4 - 62*v**3 - 138*v**2 - 50*v + 16 = 0. What is v?
-1, 1/5, 8
Solve 2*d**5 + 8*d**4 - 54*d**3 + 76*d**2 - 32*d = 0 for d.
-8, 0, 1, 2
Suppose -9*y**2 + 830*y - 184 = 0. Calculate y.
2/9, 92
Factor -3*x**3/8 - 87*x**2/8 + 3*x/8 + 87/8.
-3*(x - 1)*(x + 1)*(x + 29)/8
Determine l so that 5*l**2 - 1300*l - 1305 = 0.
-1, 261
Factor -x**2 + 2468*x - 1522756.
-(x - 1234)**2
Factor 98*l**3/3 + 518*l**2 + 2288*l + 5408/3.
2*(l + 1)*(7*l + 52)**2/3
Factor 2*u**3/7 + 102*u**2 - 308*u + 1440/7.
2*(u - 2)*(u - 1)*(u + 360)/7
Factor s**5 - 28*s**