3 - 4*n**2 + 1354*n - 676 = 0.
-1, 1, 338
Factor -4*c**2/7 - 120*c/7 + 124/7.
-4*(c - 1)*(c + 31)/7
Factor -2*w**4 - 2*w**3 + 18*w**2 - 22*w + 8.
-2*(w - 1)**3*(w + 4)
Factor -t**3 - 44*t**2 - 365*t - 850.
-(t + 5)**2*(t + 34)
Factor -2*a**4/3 - 200*a**3 - 45596*a**2/3 - 29800*a - 44402/3.
-2*(a + 1)**2*(a + 149)**2/3
Solve 2*s**2 + 35004*s + 153160002 = 0.
-8751
Solve r**4 - 4*r**2 = 0 for r.
-2, 0, 2
Factor 2*x**2/15 + 56*x/3 + 90.
2*(x + 5)*(x + 135)/15
Determine o, given that -7*o**5/3 + 2*o**4/3 + 7*o**3 - 20*o**2/3 + 4*o/3 = 0.
-2, 0, 2/7, 1
Solve -268*u**4 + 2160*u**3 - 1468*u**2 - 13320*u + 800 = 0 for u.
-2, 4/67, 5
Let 5*l**3 + 15*l**2 - 90*l = 0. What is l?
-6, 0, 3
Let -k**5 + 3*k**4 + 30*k**3 - 34*k**2 - 285*k - 225 = 0. Calculate k.
-3, -1, 5
Factor 2*d**3 + 4*d**2 - 40*d + 48.
2*(d - 2)**2*(d + 6)
Factor -51*n**2/8 + 159*n/8 - 9/4.
-3*(n - 3)*(17*n - 2)/8
Let 4*a**4 - 28*a**3 - 24*a**2 + 288*a = 0. What is a?
-3, 0, 4, 6
Factor 2*k**4/3 - 172*k**3/3 + 3866*k**2/3 - 2408*k + 1176.
2*(k - 42)**2*(k - 1)**2/3
Factor 2*d**2/5 - 8*d/5 - 24/5.
2*(d - 6)*(d + 2)/5
Let -5*t**2 - 15*t + 50 = 0. Calculate t.
-5, 2
Factor 2*x**2/21 + 8*x/7 + 18/7.
2*(x + 3)*(x + 9)/21
Suppose -4*t**3 + 292*t**2 + 1232*t = 0. What is t?
-4, 0, 77
Let -5*i**2 + 175*i - 170 = 0. What is i?
1, 34
Factor -2*r**2/5 + 2*r + 12/5.
-2*(r - 6)*(r + 1)/5
Factor 64*z**4/3 + 176*z**3 + 577*z**2/3 + 40*z + 7/3.
(z + 1)*(z + 7)*(8*z + 1)**2/3
Suppose f**2/4 + 1551*f/2 + 2405601/4 = 0. Calculate f.
-1551
Find y such that -10*y**5/7 + 46*y**4/3 + 466*y**3/21 - 106*y**2/21 - 172*y/21 + 16/7 = 0.
-1, 1/3, 2/5, 12
Let -10*a**5 + 82*a**4/3 + 24*a**3 - 320*a**2/3 + 64*a - 32/3 = 0. What is a?
-2, 1/3, 2/5, 2
Let -2*o**5 + 8*o**4 + 14*o**3 - 20*o**2 = 0. What is o?
-2, 0, 1, 5
Determine h, given that -h**3 - 3144*h**2 - 3294912*h - 1151022592 = 0.
-1048
Solve 5*d**4/2 + 340*d**3 + 11895*d**2 + 22780*d + 22445/2 = 0 for d.
-67, -1
Factor 2*y**5 + 18*y**4 + 52*y**3 + 40*y**2 - 48*y - 64.
2*(y - 1)*(y + 2)**3*(y + 4)
Factor 2*y**3 + 1572*y**2 + 411864*y + 35969456.
2*(y + 262)**3
Solve 25*n**5 + 865*n**4 + 451*n**3 - 1985*n**2 + 712*n - 68 = 0 for n.
-34, -2, 1/5, 1
Factor 3*k**2 - 9*k - 12.
3*(k - 4)*(k + 1)
Solve 4*i**3 - 36*i = 0.
-3, 0, 3
Find g such that 3*g**4 - 69*g**3 - 159*g**2 + 225*g = 0.
-3, 0, 1, 25
Factor 4*v**2 + 32648*v + 66618244.
4*(v + 4081)**2
Find b, given that -117*b**4 + 381*b**3 - 9*b**2 - 237*b - 18 = 0.
-2/3, -1/13, 1, 3
Factor -r**2 + 6914*r - 11950849.
-(r - 3457)**2
What is p in 2*p**2 + 476*p = 0?
-238, 0
Factor -l**3/3 - 19*l**2/3 - 79*l/3 + 33.
-(l - 1)*(l + 9)*(l + 11)/3
Factor -o**4 - 2556*o**3 - 1630726*o**2 + 3269124*o - 1635841.
-(o - 1)**2*(o + 1279)**2
Factor 2*y**2/11 - 100*y/11 - 208/11.
2*(y - 52)*(y + 2)/11
Factor 3*x**2 + 99*x - 444.
3*(x - 4)*(x + 37)
Factor 6*j**3 - 213*j**2 + 1836*j + 972.
3*(j - 18)**2*(2*j + 1)
Solve 2*m**3/5 + 22*m**2/5 - 8*m/5 - 88/5 = 0 for m.
-11, -2, 2
Factor -d**3/8 + 13*d**2/8 - 5*d/4 - 3.
-(d - 12)*(d - 2)*(d + 1)/8
Find r, given that 4*r**2 - 2408*r + 362404 = 0.
301
Factor 2*t**3/7 - 11*t**2/7 - t + 6/7.
(t - 6)*(t + 1)*(2*t - 1)/7
What is w in 10*w**5/3 + 30*w**4 + 545*w**3/6 + 110*w**2 + 335*w/6 + 10 = 0?
-4, -3, -1, -1/2
Find u, given that -5*u**3 - 830*u**2 - 43520*u - 693600 = 0.
-68, -30
Find l, given that 4*l**2 + 3716*l + 3712 = 0.
-928, -1
Determine g so that -g**3 + 70*g**2 + 71*g = 0.
-1, 0, 71
Factor -2*h**3/15 + 122*h**2/15 - 1664*h/15 - 2048/5.
-2*(h - 32)**2*(h + 3)/15
Find k such that -2*k**2/5 + 118*k/5 - 116/5 = 0.
1, 58
Factor 2*w**5 - 4*w**4 - 8*w**3 + 4*w**2 + 6*w.
2*w*(w - 3)*(w - 1)*(w + 1)**2
Factor 5*b**3 + 7995*b**2 + 4261335*b + 757097185.
5*(b + 533)**3
Suppose 4*k**4 + 16*k**3 - 4*k**2 - 16*k = 0. What is k?
-4, -1, 0, 1
Factor 3*w**2/5 + 4170*w + 7245375.
3*(w + 3475)**2/5
Determine p, given that 60*p**4/7 + 1144*p**3/7 + 1508*p**2/7 + 424*p/7 = 0.
-53/3, -1, -2/5, 0
Factor 5*k**3 + 85*k**2 + 80*k.
5*k*(k + 1)*(k + 16)
Factor 3*o**2 - 9*o + 6.
3*(o - 2)*(o - 1)
Determine j so that j**2 + 103*j + 396 = 0.
-99, -4
Let -2*j**2/17 + 8180*j/17 - 8364050/17 = 0. Calculate j.
2045
Factor -5*k**3 - 10*k**2 + 5*k + 10.
-5*(k - 1)*(k + 1)*(k + 2)
Suppose -f**5/4 - 3*f**4/4 + 5*f**3/4 + 3*f**2/4 - f = 0. Calculate f.
-4, -1, 0, 1
Solve -4*m**5/9 - 10*m**4/9 + 8*m**3/9 + 2*m**2/3 = 0 for m.
-3, -1/2, 0, 1
Factor -2*q**2 + 64*q + 66.
-2*(q - 33)*(q + 1)
Factor 2*j**3/11 - 56*j**2/11 - 2*j/11 + 56/11.
2*(j - 28)*(j - 1)*(j + 1)/11
Factor y**2/4 + 132*y + 263.
(y + 2)*(y + 526)/4
Solve -5*c**5 + 95*c**3 - 150*c**2 = 0.
-5, 0, 2, 3
Factor -g**2/6 - 38*g/3 - 722/3.
-(g + 38)**2/6
Factor -3*o**3/5 - 66*o**2/5 + 819*o/5 + 594.
-3*(o - 11)*(o + 3)*(o + 30)/5
Let g**4 + 112*g**3/3 - 3*g**2 - 114*g - 224/3 = 0. Calculate g.
-112/3, -1, 2
What is p in 2*p**5/15 - 8*p**4/15 - 94*p**3/15 - 236*p**2/15 - 232*p/15 - 16/3 = 0?
-2, -1, 10
What is c in c**2/2 - 163*c + 26569/2 = 0?
163
Find l, given that 14*l**3/9 - 8*l**2 - 50*l - 36 = 0.
-3, -6/7, 9
Find u, given that 2*u**4/7 + 6*u**3 - 6*u**2/7 - 122*u/7 + 12 = 0.
-21, -2, 1
Solve 2*x**4 + 32*x**3 - 192*x**2 - 4608*x - 13824 = 0.
-12, -4, 12
Factor 3*b**2 + 498*b - 2040.
3*(b - 4)*(b + 170)
Factor 4*k**4 - 52*k**3 + 168*k**2 + 144*k - 864.
4*(k - 6)**2*(k - 3)*(k + 2)
Solve 3*c**5/4 - 21*c**4/2 + 3*c**3 + 189*c**2/2 - 351*c/4 = 0.
-3, 0, 1, 3, 13
Suppose 3*b**2 - 3456*b + 995328 = 0. What is b?
576
Find w such that -4*w**2 - 980*w - 4800 = 0.
-240, -5
Find z such that -2*z**2 - 218*z + 904 = 0.
-113, 4
Factor 12321*t**2 + 33744*t + 23104.
(111*t + 152)**2
Factor p**2/6 + 1855*p/3.
p*(p + 3710)/6
Factor -2*t**3/9 + 302*t**2/9 + 68*t.
-2*t*(t - 153)*(t + 2)/9
Let -70*m**4/11 - 76*m**3 + 958*m**2/11 - 52*m/11 = 0. Calculate m.
-13, 0, 2/35, 1
Find b, given that 66*b**2 - 56*b - 10 = 0.
-5/33, 1
Solve -2*d**5/9 - 32*d**4/9 + 1222*d**3/9 + 23332*d**2/9 + 42880*d/9 + 20800/9 = 0.
-20, -1, 26
Solve 11*f**2/2 - 21*f/2 - 18 = 0.
-12/11, 3
Factor -b**3/8 - 141*b**2/8 - 279*b/8 - 139/8.
-(b + 1)**2*(b + 139)/8
Find x such that -2*x**5 - 6*x**4 + 2*x**3 + 14*x**2 - 8 = 0.
-2, -1, 1
Factor l**2/2 + 57*l + 3249/2.
(l + 57)**2/2
Find u such that 4*u**5 - 8*u**4 - 32*u**3 + 64*u**2 + 64*u - 128 = 0.
-2, 2
Factor a**5/5 - 17*a**4/5 + 114*a**3/5 - 376*a**2/5 + 608*a/5 - 384/5.
(a - 4)**3*(a - 3)*(a - 2)/5
Solve -3*m**4/4 - 27*m**3/4 - 45*m**2/4 + 75*m/4 = 0 for m.
-5, 0, 1
Suppose -4*z**3 - 56*z**2 + 272*z - 288 = 0. Calculate z.
-18, 2
Suppose 3*y**5/8 - y**4 - 11*y**3/8 + 7*y**2/2 - 3*y/2 = 0. Calculate y.
-2, 0, 2/3, 1, 3
Let 3*l**5 - 39*l**4/4 + 21*l**3/4 + 33*l**2/4 - 33*l/4 + 3/2 = 0. Calculate l.
-1, 1/4, 1, 2
Suppose -484*u**5 - 5500*u**4 + 10148*u**3 - 2068*u**2 - 1888*u - 208 = 0. What is u?
-13, -2/11, 1
What is q in -2*q**3/11 + 12*q**2/11 = 0?
0, 6
Solve 4*f**5 - 304*f**4 + 6072*f**3 - 11248*f**2 + 5476*f = 0.
0, 1, 37
Factor 11*g**4 + 4*g**3.
g**3*(11*g + 4)
Determine i, given that i**2 - 46*i - 96 = 0.
-2, 48
What is r in -5*r**2 - 60*r - 175 = 0?
-7, -5
Factor -l**3/3 - 8*l**2 - 21*l.
-l*(l + 3)*(l + 21)/3
Let -4*o**4 - 276*o**3 - 2016*o**2 - 3904*o = 0. What is o?
-61, -4, 0
Factor -z**2/2 - 817*z/2.
-z*(z + 817)/2
Determine l so that 3*l**4/4 - 3*l**3/2 - 9*l**2 + 27*l/2 + 81/4 = 0.
-3, -1, 3
Let 5*z**2 + 4330*z + 937445 = 0. Calculate z.
-433
Find c, given that c**2/4 - 51*c/2 + 101/4 = 0.
1, 101
Suppose 3*i**5 + 30*i**4 - 42*i**3 - 96*i**2 + 39*i + 66 = 0. What is i?
-11, -1, 1, 2
Factor -8*q**5/7 - 48*q**4/7 - 6*q**3 - 10*q**2/7.
-2*q**2*(q + 5)*(2*q + 1)**2/7
Factor 9*m**2/4 + 25005*m/4 + 4167/2.
3*(m + 2778)*(3*m + 1)/4
Factor 3*f**3 - 120*f**2 + 711*f - 594.
3*(f - 33)*(f - 6)*(f - 1)
Factor 2*t**3/3 - 6*t**2 - 14*t - 22/3.
2*(t - 11)*(t + 1)**2/3
Find w such that -2*w**2 + 18*w - 40 = 0.
4, 5
Factor -4*r**2/11 + 18*r/11 + 2.
-2*(r + 1)*(2*r - 11)/11
Factor q**2/7 - 42*q.
q*(q - 294)/7
Determine i so that -5*i**3 - 80*i**2 - 225*i + 810 = 0.
-9, 2
Factor 4*n**3 + 80*n**2 + 272*n + 256.
4*(n + 2)**2*(n + 16)
Let -4*w**5 + 112*w**4 - 820*w**3 + 504*w**2 + 1440*w = 0. Calculate w.
-1, 0, 2, 12, 15
Factor 11*l**3/8 - 45*l**2/4 - 51*l/2 + 5.
(l - 10)*(l + 2)*(11*l - 2)/8
Suppose -q**2 - 46*q = 0. What is q?
-46, 0
Suppose -2*g**5/5 + 3*g**4 + 13*g