Factor -h**2 + 32*h - 252.
-(h - 18)*(h - 14)
Factor g**2 - 42*g - 184.
(g - 46)*(g + 4)
Factor -4*b**3 - 52*b**2 + 4*b + 52.
-4*(b - 1)*(b + 1)*(b + 13)
Suppose 3*k**3 + 213*k**2 - 888*k + 900 = 0. What is k?
-75, 2
Suppose 16*g**4 - 204*g**2 + 196*g - 48 = 0. Calculate g.
-4, 1/2, 3
Factor 4*h**3/5 - 232*h**2/5 + 3364*h/5.
4*h*(h - 29)**2/5
Solve t**5 - 27*t**4 + 239*t**3 - 785*t**2 + 1056*t - 484 = 0.
1, 2, 11
Solve -12*j**2 + 3856*j + 3868 = 0.
-1, 967/3
Factor r**3/2 - 4*r**2 + 13*r/2 - 3.
(r - 6)*(r - 1)**2/2
Solve 27*p**2/2 + 1551*p/2 + 342 = 0 for p.
-57, -4/9
Suppose -319*w**4/2 - 678*w**3 - 800*w**2 - 168*w - 8 = 0. Calculate w.
-2, -2/11, -2/29
Factor -4*n**2 + 728*n - 724.
-4*(n - 181)*(n - 1)
Factor g**2 + 40*g + 111.
(g + 3)*(g + 37)
Factor -4*n**3 - 112*n**2 - 660*n + 1800.
-4*(n - 2)*(n + 15)**2
Find z, given that -z**3/12 + z**2/12 + z/2 = 0.
-2, 0, 3
Factor -9*i**2 + 12*i - 3.
-3*(i - 1)*(3*i - 1)
Find j such that -21*j**2 - 1266*j - 360 = 0.
-60, -2/7
Factor -64*j**4 - 8224*j**3 - 255844*j**2 + 536616*j - 272484.
-4*(j - 1)**2*(4*j + 261)**2
Find w such that -9*w**4/8 + 39*w**3/8 - 21*w**2/8 - 51*w/8 + 9/4 = 0.
-1, 1/3, 2, 3
Let -2*g**4/9 - 44*g**3/9 - 142*g**2/9 + 44*g/9 + 16 = 0. What is g?
-18, -4, -1, 1
Factor -f**4/5 + 82*f**3/5 - 2041*f**2/5 + 2952*f - 6480.
-(f - 36)**2*(f - 5)**2/5
Find k, given that 5*k**3 + 480*k**2 + 15360*k + 163840 = 0.
-32
Suppose q**4/6 + 12*q**3 + 488*q**2/3 - 1920*q + 12800/3 = 0. Calculate q.
-40, 4
Solve 4*z**4 + 28*z**3 - 2208*z**2 + 21760*z - 63488 = 0 for z.
-31, 8
Factor -4*g**2/7 + 6284*g/7.
-4*g*(g - 1571)/7
Suppose -4*v**3 + 28*v**2 + 292*v + 260 = 0. Calculate v.
-5, -1, 13
Factor -100*v**5 - 2140*v**4 - 12444*v**3 - 10404*v**2.
-4*v**2*(v + 1)*(5*v + 51)**2
Let 3*h**5 - 61*h**4 + 1351*h**3/3 - 1475*h**2 + 2128*h - 3136/3 = 0. What is h?
1, 8/3, 7
Suppose 68*l**5 + 1844*l**4 + 13340*l**3 + 9500*l**2 - 22048*l - 2704 = 0. What is l?
-13, -2, -2/17, 1
Factor 2*s**2/5 + 6*s - 108/5.
2*(s - 3)*(s + 18)/5
Solve -5*a**5 - 55*a**4 - 135*a**3 - 125*a**2 - 40*a = 0.
-8, -1, 0
Factor -2*p**2/11 - 162*p/11 - 316/11.
-2*(p + 2)*(p + 79)/11
Solve -b**2/3 + 936*b + 2809/3 = 0.
-1, 2809
Factor -15*h**2/8 - 171*h/8 - 33/4.
-3*(h + 11)*(5*h + 2)/8
Factor 2*n**2/5 + 2464*n/5 + 758912/5.
2*(n + 616)**2/5
Factor f**4/4 + 757*f**3/4 - 5337*f**2/4 + 8399*f/4 - 955.
(f - 5)*(f - 1)**2*(f + 764)/4
Factor b**2/2 + 17*b/2.
b*(b + 17)/2
Find y such that -3*y**3/2 + 2313*y**2/2 - 4608*y + 4602 = 0.
2, 767
Factor -2*q**3/5 - 194*q**2/5 - 4606*q/5 + 4802/5.
-2*(q - 1)*(q + 49)**2/5
Factor 5*c**4 + 10*c**3 + 5*c**2.
5*c**2*(c + 1)**2
Let 5*w**3 + 115*w**2 - 5*w - 115 = 0. Calculate w.
-23, -1, 1
Factor -2*v**2/19 - 10988*v/19 - 15092018/19.
-2*(v + 2747)**2/19
Suppose u**4/3 + 53*u**3/3 - 166*u**2/3 + 112*u/3 = 0. Calculate u.
-56, 0, 1, 2
Suppose 3*x**2/8 - 393*x/4 + 51483/8 = 0. Calculate x.
131
Factor -k**3/6 - 13*k**2/6 - 2*k.
-k*(k + 1)*(k + 12)/6
Factor -3*n**4 - 48*n**3 - 285*n**2 - 744*n - 720.
-3*(n + 3)*(n + 4)**2*(n + 5)
Factor -4*t**2/3 - 37*t - 27.
-(t + 27)*(4*t + 3)/3
Factor 2*s**3 - 120*s**2 - 126*s + 244.
2*(s - 61)*(s - 1)*(s + 2)
Factor -4*d**3 - 8*d**2 + 116*d - 168.
-4*(d - 3)*(d - 2)*(d + 7)
Solve p**2/3 - 10*p/3 + 8 = 0 for p.
4, 6
Factor 3*n**3 + 111*n**2 - 2475*n - 94743.
3*(n - 29)*(n + 33)**2
Let 5*h**4/6 + 95*h**3/2 = 0. Calculate h.
-57, 0
Factor j**2 + 162*j.
j*(j + 162)
Find g, given that -6*g**5 - 296*g**4 - 4984*g**3 - 30336*g**2 - 26624*g + 32768 = 0.
-16, -2, 2/3
Suppose 12*c**5 - 154*c**4/5 - 444*c**3/5 + 342*c**2/5 + 244*c/5 - 48/5 = 0. What is c?
-2, -3/5, 1/6, 1, 4
Solve n**3 - 9*n**2 + 6*n + 16 = 0 for n.
-1, 2, 8
Solve 3*d**5 - 567*d**4 + 28152*d**3 - 126960*d**2 = 0 for d.
0, 5, 92
Let -6*x**4 - 118*x**3 - 182*x**2 - 34*x + 36 = 0. What is x?
-18, -1, 1/3
Let 128*t**2 - 29280*t + 1674450 = 0. Calculate t.
915/8
Determine d so that d**3/5 + 16*d**2/5 - 101*d/5 + 84/5 = 0.
-21, 1, 4
Factor -h**4 - 6914*h**3 - 11957761*h**2 - 23894784*h - 11943936.
-(h + 1)**2*(h + 3456)**2
What is z in z**2/9 + 7*z/9 + 2/3 = 0?
-6, -1
Find f, given that -4*f**4 - 1538*f**3 - 146682*f**2 + 222722*f - 74498 = 0.
-193, 1/2, 1
Determine p so that 12*p**5 - 136*p**4 + 312*p**3 + 416*p**2 - 324*p - 280 = 0.
-1, -2/3, 1, 5, 7
Factor -q**3 + 6*q**2 + 261*q - 266.
-(q - 19)*(q - 1)*(q + 14)
Factor p**5/5 + p**4/5 - p**3 + 3*p**2/5.
p**2*(p - 1)**2*(p + 3)/5
Suppose 4*h**2 - 22104*h + 30536676 = 0. What is h?
2763
Find h such that 20*h**5 + 105*h**4 + 65*h**3 - 150*h**2 - 40*h = 0.
-4, -2, -1/4, 0, 1
Suppose -2*n**3/19 - 58*n**2/19 - 160*n/19 - 104/19 = 0. What is n?
-26, -2, -1
Factor -y**3 + 68*y**2 + 2492*y + 18816.
-(y - 96)*(y + 14)**2
Determine m, given that -5*m**4 - 940*m**3 + 945*m**2 = 0.
-189, 0, 1
Determine d so that -d**2/2 - 17*d/2 = 0.
-17, 0
Factor 2*c**2/5 + 2*c/5 - 24/5.
2*(c - 3)*(c + 4)/5
Find r such that r**5/5 - 24*r**4/5 + 98*r**2 + 879*r/5 + 414/5 = 0.
-3, -1, 6, 23
Factor f**4/3 + 7*f**3/3 - 26*f**2 + 32*f/3 + 416/3.
(f - 4)**2*(f + 2)*(f + 13)/3
Factor -q**4/7 + 86*q**3/7 - 1369*q**2/7 - 20640*q/7 - 57600/7.
-(q - 48)**2*(q + 5)**2/7
Factor 3*c**4 - 69*c**3 + 237*c**2 - 171*c.
3*c*(c - 19)*(c - 3)*(c - 1)
Find j such that -2*j**3/9 + 106*j**2/9 = 0.
0, 53
Factor -b**3/7 - 4*b**2/7 + 27*b/7 + 90/7.
-(b - 5)*(b + 3)*(b + 6)/7
Factor -467046*b**2 - 2232*b - 8/3.
-2*(837*b + 2)**2/3
Suppose 80*q**3 - 120*q**2 - 75*q - 10 = 0. What is q?
-1/4, 2
Factor 2*f**3 - 14*f**2 - 20*f + 32.
2*(f - 8)*(f - 1)*(f + 2)
Factor -5*m**2 + 680*m - 23120.
-5*(m - 68)**2
Factor 4*a**4/5 - 9492*a**3/5 + 7508172*a**2/5 - 1979654684*a/5.
4*a*(a - 791)**3/5
Factor -2*z**4/7 - 324*z**3/7 - 13122*z**2/7.
-2*z**2*(z + 81)**2/7
Factor -i**3/2 - 53*i**2/2 - 120*i.
-i*(i + 5)*(i + 48)/2
Determine k, given that 3*k**2 + 165*k + 468 = 0.
-52, -3
Determine v, given that -3*v**3/4 + 21*v**2/4 - 21*v/2 + 6 = 0.
1, 2, 4
Find n, given that 2*n**4/5 - 36*n**3/5 + 26*n**2/5 + 144*n/5 - 136/5 = 0.
-2, 1, 2, 17
Let -10*u**3 - 15*u**2 + 90*u - 40 = 0. Calculate u.
-4, 1/2, 2
Factor -2*d**2/5 - 1118*d/5 + 2244/5.
-2*(d - 2)*(d + 561)/5
Factor -5*x**3 + 135*x**2 - 675*x - 3375.
-5*(x - 15)**2*(x + 3)
Determine g, given that -3*g**2 - 132*g - 252 = 0.
-42, -2
Factor -14*z**3 + 256*z**2 - 72*z.
-2*z*(z - 18)*(7*z - 2)
Factor w**2/6 + 73*w/6 + 170/3.
(w + 5)*(w + 68)/6
Find a such that -5*a**4 - 30*a**3 + 235*a**2 - 420*a + 220 = 0.
-11, 1, 2
Solve p**2/6 + 5*p/3 - 11/6 = 0 for p.
-11, 1
What is p in -p**3/3 + 1156*p**2/3 - 334084*p/3 = 0?
0, 578
Factor -f**2/3 - 56*f - 2352.
-(f + 84)**2/3
Factor -2*h**3 - 54*h**2 - 144*h.
-2*h*(h + 3)*(h + 24)
Factor 98*j**4/5 - 308*j**3/5 + 242*j**2/5.
2*j**2*(7*j - 11)**2/5
Determine c, given that 4*c**3/9 + 8*c**2/9 - 4*c/3 = 0.
-3, 0, 1
Factor 8*s**3 - 142*s**2 - 36*s.
2*s*(s - 18)*(4*s + 1)
Suppose -j**2/10 + 489*j/10 + 49 = 0. What is j?
-1, 490
Factor 4*f**3 + 4*f**2 - 24*f.
4*f*(f - 2)*(f + 3)
Suppose -42*b**3/11 - 36*b**2/11 + 90*b/11 - 12/11 = 0. What is b?
-2, 1/7, 1
Factor 2*w**2 - 2*w - 24.
2*(w - 4)*(w + 3)
Suppose -t**2 + 464*t - 53824 = 0. Calculate t.
232
Find p, given that -3*p**3 - 75*p**2 - 477*p - 405 = 0.
-15, -9, -1
Determine n so that -6*n**4 + 57*n**3 + 33*n**2 - 30*n = 0.
-1, 0, 1/2, 10
Determine f so that -110*f**2 - 5605*f + 255 = 0.
-51, 1/22
Find h such that -4*h**3 - 12*h**2 + 36*h - 20 = 0.
-5, 1
Find v, given that -2*v**4/5 + 2*v**3/5 = 0.
0, 1
Solve 2*b**4/17 + 48*b**3/17 - 2*b**2/17 - 48*b/17 = 0.
-24, -1, 0, 1
Factor -3*z**4 - 15*z**3 - 18*z**2 + 12*z + 24.
-3*(z - 1)*(z + 2)**3
Factor -2*d**2/7 - 178*d/7 - 176/7.
-2*(d + 1)*(d + 88)/7
Factor -3*i**3/2 - 21*i**2/2.
-3*i**2*(i + 7)/2
Let 5*k**4 - 35*k**3 + 75*k**2 - 45*k = 0. What is k?
0, 1, 3
What is b in 5*b**4 + 15*b**3 - 20*b**2 = 0?
-4, 0, 1
Let -7*q**5/4 - 15*q**4/4 + 39*q**3/4 + 59*q**2/4 - 6*q - 9 = 0. What is q?
-3, -1, 6/7, 2
Factor 10*l**3 + 52*l**2 + 70*l + 12.
2*(l + 2)*(l + 3)*(5*l + 1)
Find p, given that 8*p**5/5 - 42*p**4/5 - 54*p**3/5 + 112*p**2/5 - 24*p/5 = 0.
-2, 0, 1/4, 1, 6
Find j such that 54*j**5/7 - 30*j**4/7 - 158*j**3/7 - 18*j**2/7 + 48*j/7 - 8/7 = 0.
-1, 2/9, 1/3, 2
Let 2*i**5/15 - 2*i**4/3 - 16*i**3/5 - 8*i**2/15 + 64*i/15 = 0. What is i?
-2, 0, 1, 8
Factor -t**2/4 - 9*