l = 6/121 - a. Calculate the common denominator of l and -121/130.
130
Suppose 315 = -2*q - 5*k, -k + 150 = -q + 4*k. Let v = q - -182. Calculate the smallest common multiple of v and 189.
189
Let g be -2*4*-14 + -2 + -1. Let q = -53 + g. Suppose -8*i - q = -10*i - 4*w, i + 4*w = 32. What is the least common multiple of 3 and i?
24
Suppose 0 = 503*g - 419*g - 504. Let p(y) = 11*y - 31 - 11 + 2. Calculate the least common multiple of 16 and p(g).
208
Let p = -23767 + 784249/33. Calculate the common denominator of 10*(-1)/(-2) + 45825/(-9945) and p.
561
Let b = -851 - -1511. Let w = b - 13203/20. Calculate the common denominator of w and 33/824.
4120
Let r = -2292 + 770155/336. Calculate the common denominator of -59/231 and r.
3696
Let s = -109289/32100 + 319/107. What is the common denominator of s and (-1)/(-2) - 52/(-10)?
300
Let i = 4677 - 4579. What is the least common multiple of 70 and i?
490
Let z = 10140807791 + -2189653922326226/215925. Let o = -2/2879 + z. What is the common denominator of o and 7/48?
1200
Let k = -22 - -20. Let r be 5*18/(-3) - (-2)/k. Let t = r + 40. Calculate the lowest common multiple of 21 and t.
63
Suppose -125 = -6*s - 485. Calculate the common denominator of 8/10 + 808/s and -56/27.
27
Let n be 18923245/(-7605) - -4 - (-10)/45. Let d = -2484 - n. Find the common denominator of d and -81/2.
338
Let d = 310 + -311. What is the common denominator of 25/22 and ((-36)/(-40))/(((-6)/10)/d)?
22
Let z be 22/(-8)*24/(-6). Suppose -z*k = -16*k + 135. Let a = -18 + 45. What is the least common multiple of a and k?
27
Let t(z) = -3*z + 194. Let j be t(20). Let c = 214 - j. Calculate the least common multiple of 12 and c.
240
Suppose -3*m + 19 = 2*x - x, 3*x - 27 = -3*m. Suppose -12*y = -x*y - 3448. What is the common denominator of 65/2 and y/(-574) + (-4)/14?
82
Suppose -l - 2*s + 16 = -40, 3*s + 9 = 0. What is the common denominator of l*(9/440)/(-3) and -49/22?
220
Suppose -l - 2*m + m = -9, -3*l + 4*m - 8 = 0. Let i(d) = -d**3 + 4*d**2 - 2*d + 1. Let a be i(l). Calculate the common denominator of a/(-6)*36/8 and 28/31.
124
Let w be (27/4 + 0)*-1. Let v = w - -285/28. Calculate the common denominator of (22/(-15) - 116/(-145)) + 149/(-6) and v.
14
Let s = 1312 + -971. Let o = 357 - s. Suppose -2*f + 100 = 3*f. What is the lowest common multiple of f and o?
80
Let o = 7608 - 68524/9. Calculate the common denominator of o and -50/723.
2169
Suppose 5*d - 4*s = -1154, 4*d + 1110 = 2*s + 188. Let r = d - -186. Find the common denominator of (-2)/(-12)*414/(-10) and r.
10
What is the common denominator of 1/726*22*(-13)/25 and -7/375?
4125
Suppose -11044 = -154*t + 52644 + 10540. Calculate the lowest common multiple of 4820 and t.
4820
Suppose 14*k = -13*k - 216. What is the smallest common multiple of 534 and k*(-50)/(-30)*3/(-2)?
5340
Let i = 13510 - 13499. What is the lowest common multiple of 4560 and i?
50160
Find the common denominator of 104/495 and (-1708)/(-976)*2/(-45).
990
Let k = -30743/16 - -1925. Let j be 1 - (3 + 50009 - 3). Let m = -4300763/86 - j. Find the common denominator of m and k.
688
Let j = 22/3 + -107/15. What is the common denominator of 15/2312 and j?
11560
Suppose 27*r - 60 = 48. Suppose -4*d - 2*q - 4 = 0, 10 = 4*d - r*q - 10. Calculate the lowest common multiple of d and 11.
11
Let z(c) = -100*c + 472. Calculate the least common multiple of z(4) and 36.
72
Find the common denominator of 28/2562*(-3 - (-165)/10) and (9/5)/((-24)/(-165)).
488
Suppose 288 = 4*q - 172. Let v = -225 + q. Calculate the least common multiple of 2 and (v/(-25))/((-2)/(-10)*1).
22
Let r be 432/56 + 6/(-63)*-3. Let v be r/3 + (-3)/(-9). Suppose -v*q - 5*c + 58 = 0, -5*q + c + 17 = -33. Calculate the lowest common multiple of 8 and q.
88
Let u(n) = 2*n**2 - 19*n + 76. Let z = -457 - -461. What is the smallest common multiple of 48 and u(z)?
96
Calculate the common denominator of -113/12 and (-3367)/2220 - (11 - 10).
60
Suppose 7*o = -970 - 367. Let q = 201 + o. Calculate the smallest common multiple of 15 and q.
30
What is the least common multiple of 154 and ((-15)/25)/(12/(-15840))?
5544
Let z(a) = -a**3 + 6*a**2 + 111*a - 125. Calculate the smallest common multiple of z(13) and 150.
1350
Let j(q) = 6*q**3 + 3*q**2 + 11*q + 3. Let z be j(-8). Let f = z - -26630/9. Calculate the common denominator of 24/(-84) + 1214/84 and f.
18
Let f = -11748512/11637885 - 2/110837. What is the common denominator of f and -68/15?
105
What is the smallest common multiple of 6/(-60)*14864*10/(-4) and 20?
18580
Let m be 68808/(-540) + (-8)/10 + 2. Let z = m + 8995/72. Calculate the common denominator of 1/33 and z.
264
Let f be (24/(-10) + 3)*65. Suppose -31 = 2*s - f. What is the smallest common multiple of 1/2 + (-86)/(-4) and s?
44
Calculate the common denominator of -10 + ((-167391)/315)/(1604/(-30)) and ((-918)/(-360))/((-24)/(-50)).
6416
Let t be (-2)/5 + 6819/1816. Let x = 9/1816 - t. What is the common denominator of x and (-21)/(-21) + 2737/(-920)?
40
Find the common denominator of 41/4576 and ((-10682)/(-980))/(1/(5/(-12))).
13728
Suppose -10 - 131 - 99 = -12*r. Calculate the least common multiple of r and 120.
120
Suppose -r = -0*r - 25. What is the least common multiple of r and -51 - (-12954)/255 - 753/15*-1?
50
Calculate the least common multiple of 12 and (55/(-9 + 20))/((-5)/(-12)).
12
Let d = -62 - -245/4. Let j be ((-11)/(-33))/((-14)/(-411)). Let i = -135/56 + j. What is the common denominator of i and d?
8
Suppose k - 9672 = -d, 4*d + 653*k - 38688 = 648*k. What is the least common multiple of 42 and d?
67704
Let j = 122907/14 + -8783. What is the common denominator of j and (-18)/24*728/(-105)?
70
Let v = 1575/8 + -188. Calculate the common denominator of (-3 - 35/(-12))*150/8 and v.
16
Let w(x) = -21*x - 60. Suppose o - 8*c + 21 = -4*c, -4*o - 4 = 4*c. Calculate the lowest common multiple of w(o) and 45.
45
Let r(t) = -5*t + 14. Let k be r(0). Let v(n) = -n**2 + 17*n + 2. Calculate the least common multiple of 2 and v(k).
44
Suppose -4*x + 6*v + 69 = v, x = -5*v - 14. Calculate the smallest common multiple of x and -2 + (19 - 29) - (-22 + 0).
110
Suppose -2*a + 278 = 8. Find the common denominator of (10/(-33))/(36/a) and (237/(-16))/((-6)/4).
88
Let o be 4/(-10) + 1102/(-95). Find the common denominator of (27/o - -3) + (-1603)/(-420) and 37/36.
180
Let t = -84123 + 19179965/228. What is the common denominator of -59/1254 and t?
2508
Let a be (18/(-40))/(22/(-15224)) - -4. Let z = 99496/315 - a. What is the common denominator of z and -2/3?
63
Let q be 1 + (-2 - 374/(-322)). Let h be (-217209)/(-73899) + 1 + -2. Let b = h - q. Calculate the common denominator of -91/8 and b.
72
Let v(y) = y - 7. Let q be v(2). Let d(m) = m**3 + 5*m**2 - 4*m - 14. Calculate the least common multiple of d(q) and -1*5/1*(-136)/85.
24
Let c = 1601/124 + -67/31. Find the common denominator of 5/4*306/(-855) and c.
76
Let d = -35/46 - -313/759. What is the common denominator of -40/33 and d?
66
Let f = -4717 + 4921. Calculate the lowest common multiple of 666 and f.
22644
Let a = -241 - -251. What is the lowest common multiple of 29/((-203)/(-70)) + 8 and a?
90
Let n = 1730189 - 7600719789/4393. Let y be 6/27 - 980/3438. Let j = y - n. Find the common denominator of j and 55/7.
161
Let i = 2823/332 + -1/332. Let o = -350147/18486 + 1521/79. Calculate the common denominator of i and o.
234
Let d = -669 + 689. Let b(c) = -8*c + 165. What is the smallest common multiple of b(d) and 208?
1040
Let x = -214693/350 - -4295/7. Calculate the common denominator of -3/550 and x.
3850
Let a = -2 + 2. Suppose 0 = 3*g - 5*m - 43 - 16, -4*g + m = -73. Suppose a = -g*h + 23*h - 165. Calculate the smallest common multiple of h and 15.
165
Let u be (-25)/((-15)/3) - 5/5. Suppose -u*a = -2*a + 5*n - 377, a - n = 185. Calculate the least common multiple of 8 and a.
744
Suppose b - 6 = -5*h + h, -3*b - 5*h = -4. Let t be 2/(37/18 + b). Suppose 0 = 2*j + 2, 0 = -s + 5*j + 41 + t. What is the lowest common multiple of s and 2?
72
Let h(b) = b - 3. Let m be h(3). Suppose t - 2*t + 18 = m. Let q(z) = z**3 + 19*z**2 - 64*z + 48. What is the lowest common multiple of q(-22) and t?
36
Let q = 22367941/47918 + -8869/19. Calculate the common denominator of -105/1