
834
Suppose 0 = -3*d - 5*q - 67760, -2*q - 24668 = d - 2083. Let b = -4745087/210 - d. Calculate the common denominator of 43/8 and b.
840
What is the common denominator of (-30)/12 + 4961/2583 and -89/12?
252
Let g be 116/12 - ((-20)/6 + 4). Suppose -g = q - 13. What is the smallest common multiple of 9 and q?
36
Let i(h) = -2*h - 3. Let m be i(-7). Let a = 12 - m. Let z(u) = -u**2 + 7*u - 1. Calculate the lowest common multiple of a and z(5).
9
Let d = 152 - -49. Let w = d + -185. Calculate the smallest common multiple of w and 44.
176
Calculate the common denominator of -21/377 and (28/(-14))/(9570/(-253)).
5655
Let v be 96/112*84/(-1). What is the common denominator of 4/v + (-3)/6 and (-1)/(-4) - (-19)/84?
63
Let n = 5087/6 + -4395163/5184. Find the common denominator of 29/1152 and n.
10368
Let f(j) = 97*j + 167. Calculate the lowest common multiple of f(-1) and 455.
910
Let w = -80913/8 + 10118. Find the common denominator of w and -7/1076.
2152
Let b(d) = -6*d + 3. Suppose -36*a = -22*a - 168. Calculate the least common multiple of a and b(-4).
108
Calculate the lowest common multiple of 2 and 52/6 - ((-58)/87)/(-1).
8
Suppose 5*y - 52 + 152 = 2*i, -5*i + 61 = -2*y. What is the common denominator of (-158)/(-4)*3/y and (6*5/90)/(25/(23750/60))?
36
Calculate the common denominator of 9188/(-416) - (-65 + 42) and 53/650.
2600
Find the common denominator of (2 - -3)/((-54)/(-36) + 4214/(-28)) and 53/6 + (1 - 1).
894
Let a = 1578846/79 + -19985. Find the common denominator of a and ((-3)/27)/((-19)/551).
711
Let j = 558502951/1020 + -547552. Calculate the common denominator of j and -107/204.
1020
Let t = 96 + -35. Suppose u = -j + 23, 3*j - 3*u = 2*u + t. Calculate the smallest common multiple of j and (3 + -2)*-6 + 23 + -11.
66
Let t = -19059 + 19199. Calculate the smallest common multiple of t and 190.
2660
Let n = 538 - 3708. Let f be (n/(-4) - (-12)/(-8)) + -3. Find the common denominator of 37/4 and f/208 + (-3)/12.
52
Let v(m) = 13*m**2 - 4*m. Let s be v(-2). What is the common denominator of -57/5 and 12/(-20) + (5958/s)/3?
10
Let f = -30615 - -35367. Calculate the smallest common multiple of 4158 and f.
33264
Suppose -4*b - 22 + 70 = 0. Calculate the smallest common multiple of 10/15 + 472/b and 44.
440
Let z(r) = -r**2 - 12*r - 37. Let y be z(-6). Let a be -4*6/8 - (-6 - y). What is the lowest common multiple of 9 and (-1 + 4 - 4)/(a/(-48))?
72
Let c(r) = 365*r**3 + 9*r**2 + 5*r - 32. Calculate the smallest common multiple of 9 and c(2).
2934
Suppose -513 = -2*d - 10*v + 11*v, -4*d = -4*v - 1032. Calculate the lowest common multiple of 357 and d.
1785
Let n = 543 + -243. Suppose 37*j - 22*j = n. What is the smallest common multiple of j and 132?
660
Let x = -9067/4 + 3146053/1388. What is the common denominator of 15/8 and x?
2776
Let c = -67/7 - -19/21. Suppose -5*x + 7*r = 4*r - 14, -3*r = -4*x + 10. Calculate the common denominator of c and x + 2 + (-158)/4.
6
Let d = 1199/5 + -10831/45. Calculate the common denominator of (17/3)/(1 + 0) and d.
9
Let k = -27 - -45. Suppose 0 = f + 3*f - 128. Calculate the least common multiple of k - (1 - (-2)/2) and f.
32
Let a = -15319339/138471 - -11179/101. What is the common denominator of -71/15 and a?
6855
Let o(d) = -13*d**2 + 1. Let i be o(-1). Calculate the common denominator of (-1)/i - 1 - 0 and (-10)/(-9) - 2900/1827.
84
Let c(k) = -17*k - 1. Let w = -214438 - -214450. Calculate the smallest common multiple of c(-1) and w.
48
Suppose -4*v - 66 = -d - 7*v, -3*v = 6. Suppose 2*n - 4*n = -d. Let t(p) = -2*p**2 + 20*p + 2. What is the lowest common multiple of n and t(9)?
180
Suppose 5*q = 2*u + 51, 4*q - 9*u + 5*u = 48. Suppose -1488 = -q*x + 1860. Calculate the lowest common multiple of x and 1.
372
Suppose -3*r + 9 = 3. Let m = r + -11. What is the common denominator of -7/2 and 56/3*m/54?
18
Suppose 52*q + 1563 = 41967. Let p = q + -669. Calculate the smallest common multiple of 54 and p.
108
Let c(q) = q**3 + 92*q**2 - 301*q - 116. Calculate the least common multiple of 24 and c(-95).
2808
Let k(i) = 8*i - 164. Let x be k(21). Suppose -5*d + 4*d = -x. What is the least common multiple of 174 and d?
348
Find the common denominator of 1331/(-5346) + -9 + 9 and -53/2916.
2916
Let g = 5162 - 5108. Calculate the lowest common multiple of g and 16/(-64) - 113/(-4).
756
What is the common denominator of -13 - (-7315)/286 - 14 and 113/216?
2808
What is the common denominator of -10/1653 and (-274)/72 - (-3)/(-9)*30/90?
6612
Let t = -1 + -5. Let v be (t/(-4))/((-6)/48). What is the common denominator of 136/64*v/(-1) and 43/10?
10
Let c = 291 - 285. Let o(m) = -4*m**2 - 5*m - 8. Let l be o(-8). What is the lowest common multiple of c and l/(-98) - (-2)/(-7)?
6
Let m be 241 + (-3)/(-2)*32/12. What is the common denominator of m/(-56) - (-8)/12 and -21/68?
408
Find the common denominator of 26*18/(-56) - (-8)/4 and 138/(-8) + 6 + 0.
28
Let g(j) = 2*j**2 - 7*j - 2. Let r = 69 + -63. What is the least common multiple of g(r) and 91?
364
Let x(q) = -q**3 - 4*q**2 - 4. Suppose -4*y = 8, 0 = -w - 6*y + 8*y + 7. What is the least common multiple of x(-5) and w?
21
Let z(c) = -c**2 - 5*c + 2. Let d be z(-4). Let v = 3613 - 3602. What is the smallest common multiple of (-1)/d + (-61)/(-6) and v?
110
Suppose 60*x + 72 = 63*x. Let o(z) = -z**3 + 22*z**2 + 29*z + 36. Let p be o(x). Find the common denominator of (-65)/p + (9/21)/1 and 79/28.
84
Let n = 14635/1203 - -1/802. Let b = 170 + -5630/33. Find the common denominator of b and n.
66
Let q = -514 + 519. What is the common denominator of 246/(-44) - (-5 - -5 - q) and -83/412?
4532
Suppose 158*q - 80*q = 5616. Calculate the least common multiple of q and 12.
72
What is the common denominator of -17/870 and 4/2*(-35)/(-504)*69?
1740
Let w be 350/(-20) + (-12)/(-8). What is the smallest common multiple of 6 and (-42 - -34) + w/(-1)?
24
Let y(m) = 105*m**2 - m. Let g be y(1). Calculate the least common multiple of 44 - 1/((-33)/6 - -5) and (-4)/(-14) - g/(-28).
92
Let s(d) = -11*d - 7. Let c be s(-5). Suppose 0 = 310*n - 38*n - 9115 + 3131. What is the lowest common multiple of 2/(-7) + c/21 and n?
22
Let n = 6 + 3. Let k = 36 - n. What is the lowest common multiple of k and (0 + 1)/(389/7002)?
54
Let u = 1 + 0. Let i(s) = -508*s - 5077. What is the lowest common multiple of u and i(-10)?
3
Suppose 3*t - 1644 = 3*b, 10*b = 5*t + 7*b - 2732. What is the least common multiple of 176 and t?
5984
Let x = -60781/24674 + -1496752960995/135707. Let u = -11043339 - x. Let l = 14041 + u. Find the common denominator of 31/18 and l.
198
Let c(v) = -v**3 - 8*v**2 + 5*v - 1. What is the least common multiple of -4 + (-219)/(-24) + (-1)/8 and c(-9)?
35
What is the smallest common multiple of 1008 and 10/120 - 20136/(-288)?
5040
Let h be ((-874)/(-6))/(28/(-21)). Let k = 108 + h. Calculate the common denominator of k and (-32)/(-24)*(-16)/6.
36
Suppose -57*m = -12 - 1214 - 598. What is the smallest common multiple of m and 1240?
4960
Let u be 34/(-282)*3/5*5. Let k = u - -43/2068. Find the common denominator of k and 52/121.
484
Suppose 0 = 2*k - o + 89, 3*o + 62 = 3*k - 4*k. Suppose -c = -a - a + 31, -2*c - 53 = 5*a. Let s = c - k. What is the lowest common multiple of 22 and s?
198
Let l(r) be the second derivative of 5/6*r**4 + 0 - 7/6*r**3 - 1/20*r**5 - 5*r**2 + 15*r. What is the lowest common multiple of l(6) and 8?
184
Suppose -5*f - 15*f + 403 = -297. What is the smallest common multiple of f and 28?
140
Let c = -138765 + 54812133/395. Find the common denominator of -34/711 and c.
3555
Suppose -4*y = -2*w + 318, 3*y + 346 + 275 = 4*w. Suppose 5*o = -4*u - 0*u + w, o - 165 = -5*u. Calculate the least common multiple of u and 2.
32
Let b = -7931 - -79219/10. Calculate the common denominator of 2/((-2)/(3 - (-2365)/(-818))) and b.
4090
Suppose 2*i + 6878 - 1366 = 55*i. What is the smallest common multiple of i and 26?
104
Let i(m) = -1007*m + 6045. Let g(d) be the second derivative of -d**3/6 + 11*d**2/2 + d. Calculate the lowest common multiple of i(6) and g(0).
33
Let g(s) = s**3 - 10*s**2 - 4*s + 22. Let f be g(10). What is the common denominator of (-4)/(-14) - 778/126 and ((-15)/40)/(f/(-1208))?
18
Let q = 13745/234 - 669/13. Calculate the common deno