 Suppose -12*x + n = -14*x. Let w = x - -72. What is the least common multiple of 33 and w?
33
Find the common denominator of -75/16682 and 78/(-12)*((-176)/56 - -3).
116774
Let l = -30242826/1639 - -18452. Let d = l + 47527/3278. Calculate the common denominator of 29/50 and d.
50
Let i = -118 + 83. Let l be (-1064)/i + 2/(-5). What is the common denominator of (-206)/(-4)*(-3)/l and -87/4?
20
Let g be ((-17)/81175)/((-6)/41665). Let y = g - 4/191. Find the common denominator of -43/30 and y.
30
Calculate the common denominator of 127/72 and 14 - (2 - (-60184)/5024).
11304
Let c = -17 - -80. Suppose -7*r - c = -16*r. What is the least common multiple of 5*(6/20 + 12/8) and r?
63
Let r(d) = 70*d**2 - 273*d + 5. Calculate the least common multiple of r(5) and 10.
390
Let y = 264 + 139. Suppose 4*q - 5*r + 1657 = 0, -q + r + 4*r - y = 0. Calculate the common denominator of -77/4 and q/126 - (-5)/(-35)*-3.
36
Let f be -504 - -11 - 7 - (-2 - -8). Let x = -503 - f. Calculate the least common multiple of 189 and x.
189
Suppose -8*g - 541 = -165. Find the common denominator of g/(-396) - 222/296 and -44/5.
990
Let v be (-9310)/(-110)*((-30)/(-164))/(-5). Let u = v + -7/82. Let t = 583 + -2313/4. Calculate the common denominator of t and u.
44
Let y = 81303 - 81279. Suppose -2*b = -13 - 3. Calculate the least common multiple of b and y.
24
Suppose 5*g - f = 26, -6*f + 18 = g - 3*f. What is the common denominator of -29/35 and g + (1419/(-150) - -1)?
350
Let c be (-2 + (-8)/(-10))*(86 + 14). Find the common denominator of 53/9 and (c/5025)/(2/(-15)).
603
Suppose 396*r - 13329 = 381*r + 36621. Calculate the smallest common multiple of 1110 and r.
3330
Let p = 2218/2211 + 14/67. Find the common denominator of -107/216 and p.
2376
Let m be 2/4 + (-5)/(61860/6198). Let p = m + 58769/2062. Find the common denominator of p and 59/20.
20
Let q(h) = -7 + 44*h + 22 - 12. Let d be q(-2). Find the common denominator of 1 + 2/(4/d) and 9/5.
10
Let i = -486668197/2150 + 9950016/43. Let y = i + -5038. What is the common denominator of y and 127/30?
150
Suppose -5*d = -5*m + m - 13, -2*d = -10. Calculate the smallest common multiple of m - (0 - (2 + 4)) and 27.
27
Let v = 5286 + -5277. Calculate the lowest common multiple of 12 and v.
36
Let c = -31106/3 + 9176363/885. What is the common denominator of 143/354 and c?
1770
Let p = -2322 - -2343. Let k = 116 - 83. Calculate the lowest common multiple of k and p.
231
Suppose 0 = -8*j + 3143 - 145 + 1754. What is the lowest common multiple of 111 and j?
21978
Let l(y) = y**3 + 9*y**2 + 7*y - 6. Let k be l(-8). Suppose -4*n + 115 = p, -k*n + 65 = 4*p - 5*p. Calculate the least common multiple of 9 and n.
90
Let g be 3 - (-1)/(-14)*57411. Let y = -4104 - g. Calculate the common denominator of y and (1 + (-1251)/(-24))*(-22)/(-165).
84
Let c(o) = 6*o**2 - 4*o. Let z be c(-6). Let y be 2 + 5/(z/(-60357)). Let v = y - -1255. Find the common denominator of v and 91/64.
64
Let j = -50030063264/1015 + 49290696. Let i = j - -22/145. Let a = -627/4 + 149. Find the common denominator of i and a.
28
Let y = 1316937149353/260881219720 - -415/15450472. Let k be 6116/9210 + (-4)/6. Let u = k + y. Find the common denominator of u and -29/12.
132
Let u = 1690 + 1005. What is the lowest common multiple of u and 5?
2695
Let k = -1137 + 539. Calculate the common denominator of k/(-13)*(0 + 2/(-108)) and 3 + -3 + (-17)/(-4).
108
Let l(v) = -v**2 + 21*v - 12. Let o be 164/10 + 33/55. What is the smallest common multiple of 6 and l(o)?
168
Let d(h) = -h + 82. Let w be d(10). Calculate the least common multiple of 1 + (-7)/9 + 1568/w and 6.
66
Let f(b) = -b**2 - 16*b - 12. Let z be f(-15). Suppose 2 = -4*h + 3*v + 15, -v = z*h - 13. Calculate the smallest common multiple of 12 and h.
12
Suppose 138*a - 617 = -341. Calculate the smallest common multiple of 10 and a.
10
Suppose 223*b + 3360 + 14946 = 122893. Calculate the least common multiple of b and 63.
4221
Let r = 17013 + -17005. What is the smallest common multiple of r and 10986?
43944
Let i be ((-247)/(-102) - 1) + 8/12. Let s be (-33530)/10472 - (-3)/(-4). Let b = i + s. Find the common denominator of 25/12 and b.
132
Let n = 16820 + -15585. Calculate the least common multiple of 380 and n.
4940
Let n = -195/203 - -3/29. Let o = 2/2715 + 89/26607. Let p = o + -6863/735. Calculate the common denominator of n and p.
21
Calculate the common denominator of 3/21 - (-55130)/(-193732) and 113/220.
3740
Let o be 0 + (-8 + 11 - (-62620)/(-176)). Let r = o - -1397/4. What is the common denominator of 73/206 and r?
2266
Let x be (-3 - 7/(-3))*-12. Let n be (3*x/(-36))/(2/(-369)). Suppose -108 = 5*p - n. What is the lowest common multiple of p and 6?
6
Let s = -47 - -53. Suppose s*m - 143 = 337. Suppose 0*h - m = -4*n - 5*h, -n = h - 20. Calculate the least common multiple of 16 and n.
80
Let r(w) = 3*w**2 - 23*w - 102. Let g be 12 + -2 + (3 - 3). Suppose g = -5*o + 170. What is the least common multiple of r(11) and o?
32
Let o = 1442839/22 - 65598. Let g = 161/11 + o. Calculate the common denominator of 2 - -3 - (-8)/(528/(-645)) and g.
22
Let r = -5597/6 - -946. Let z be (-9)/(36/(-8296)) + 0. Let u = 62227/30 - z. What is the common denominator of u and r?
30
Let x(n) = -3*n**3 + 49*n**2 + 6*n + 39. Calculate the lowest common multiple of 230 and x(16).
3910
Let v = 74141/25260 - 3/1684. What is the common denominator of (-982)/(-420) + (-2)/21*-1 and v?
30
Let r(y) = -7 + 2*y**2 - 39*y**3 + 40*y**3 + 0*y**2 - 4*y**2 - 4*y. What is the lowest common multiple of r(4) and 81?
81
Let y = 187714525016347/792 - 237013381141. Let f = 1011012/11 + y. Let w = f - -728/9. Calculate the common denominator of 7/6 and w.
24
Suppose -45 = -2*x - 3*k, 2*x = 3*x - 5*k + 10. Let b = 6/2563 + 12337/5126. What is the common denominator of 24/25*50/x and b?
110
Let w = -3303181 - -508695371/154. Let s = w + -384/11. Calculate the common denominator of s and (20/72)/((-2)/(-75)).
84
Let i be (1/(-24))/(3/1510252). Let h(o) = -12*o**3 + 5*o**2 - 81*o + 18. Let x be h(12). Let w = i - x. Calculate the common denominator of w and -139/18.
18
What is the common denominator of -89/70 and 55/462 - (208/40 + -6)?
210
Let g = -100797898/495 - -203632. Calculate the common denominator of 6/187 and g.
8415
Let f(b) = b**3 - 5*b**2 + 5*b - 6. Let o be f(4). Let p be 3/(6*o/(-56)). Let v = -10 + p. What is the smallest common multiple of v and 14?
28
Suppose 14*h - 16*h = 60. Find the common denominator of (-184)/(-150) + (h/(-9) - 4) and -43/50.
50
Let v(l) = -l**2 - l - 18. Let o be v(0). Let j = -858 + 904. Let u = j + o. Calculate the smallest common multiple of 6 and u.
84
Suppose 5*c - 12 = 18. Calculate the least common multiple of c and ((-330)/36 - -9) + (-21690)/(-540).
120
Let m be (-84135)/(-60471)*609/714. Let n = 3/6719 - m. Calculate the common denominator of n and -137/6.
102
Let c = 153 - 145. Suppose -12 = -4*i + 3*x - c*x, -i - 5*x = -3. Calculate the lowest common multiple of 18 and i.
18
Suppose -5*m + 3*m = 164. Let q = 87 + m. Calculate the smallest common multiple of 5 and q.
5
Suppose 13 = -c - 5*d, 2*c + 3*d = 2*d + 19. Calculate the common denominator of -69/4 and ((-3)/c)/((-2)/19).
8
Suppose 18*v - 4*v - 4550 = -0*v. Calculate the smallest common multiple of 2015 and v.
10075
Suppose 0 = 125*a - 209*a + 21672. What is the smallest common multiple of 27 and a?
2322
Suppose -3*z = 2*k - 104, -40 = -z - 0*z - 2*k. Calculate the lowest common multiple of z + -29 - (2 + -4)*37 and 42.
462
Suppose 36867 - 6832 = 33*x + 137. What is the least common multiple of x and 8?
3624
Let q = 11236 + -179733/16. Find the common denominator of 85/766 and q.
6128
Let g(y) = 4*y - 18. Let p be g(7). Let w = 1 + p. Suppose -4*f + w = 3*i, 0 = -i - f + 4*f + 21. What is the lowest common multiple of i and 12?
36
What is the common denominator of (-21)/(-2) + 42/63 and (5/(-54))/((-176)/1560 - (-24)/(-156))?
72
Let c = 6 + -3. Let j(k) = k**3 + 21*k**2 - 38*k + 204. Let q be j(-23). Suppose c*b - 40 = q. Calculate the smallest common multiple of b and 20.
20
Let t(y) = 7805*y**3 - 6*y**2 - 7*y + 10. Calculate the lowest common multiple of 18 and t(1).
70218
Suppose -4*y + 15 - 3 = 3*m, -14 = -y + 2*m. Suppose 9*t - 