q - 50 = 0, 2*q - 7 = 3. Suppose -11*h + 8 = -r*h. What is the least common multiple of h and 2?
4
Let z(u) = -37*u + 2. Let i be z(-3). Suppose -4*j = 3*q - 80, 4*q + 3*j = i - 18. What is the least common multiple of -1 + 1 + (35 - 13) and q?
220
Let j = 30 - 28. Suppose -j*s = 3*s - 200. Find the common denominator of (2/s)/(10/225) and -1/4.
8
Let q = -242 - -258. What is the lowest common multiple of q and 12?
48
Suppose -4*o + 33120 = -4*s, -2*o + 3*s + 20958 = 4395. Let v = -132333/16 + o. Calculate the common denominator of v and 113/6.
48
Let x(z) = -4*z**3 + 3*z**2 + 8*z - 14. Let j be x(-13). Let a = 239135837/14 - 17071961. Let n = a - j. What is the common denominator of -91/6 and n?
42
Suppose 83 = 5*m + 2*h, -2*m = -h - 24 - 2. Calculate the least common multiple of 18 and m.
90
Suppose -13*u - 79 - 1104 = 0. Let q = u - -125. Calculate the least common multiple of 12 and q.
204
Suppose -3*r = 5*f - 372, r - 3*r - 4*f = -246. Find the common denominator of r/44 - (-2)/(-11) and -28/5.
20
Let i(l) = -l**3 - l**2 + 8*l. Let o be i(-5). Suppose -7*s + 2*s = -o. Let v(n) = 6*n - 14. What is the lowest common multiple of v(6) and s?
132
Let a be ((-42)/15)/(2/10). Let u = a + 14. Suppose -2*n = -u*j + 5*j + 12, 4*j + 16 = 0. What is the lowest common multiple of n and 2?
4
What is the lowest common multiple of 6 - 2 - (-17 + 0) and 33?
231
Suppose -3*a + 4 = -2*a. Suppose 0 = 3*j + 9, 31*p - 36*p + j + 23 = 0. Calculate the smallest common multiple of a and p.
4
Suppose 0 = l - 14 - 94. Let o = -267 + l. Find the common denominator of 71/4 and -3 - (-1)/((-22)/o).
44
Let i(c) = 3*c + 3. Let q be i(-9). Find the common denominator of (-1)/15*(-306)/q and (-3)/15 - 491/(-80).
80
Suppose -10*i + 102 + 278 = 0. Let g(w) = 4*w - 24. What is the smallest common multiple of i and g(10)?
304
Let b be 3/(-4449)*49/7. Let n = b - -93569/29660. Let q = -4783/6 - -804. Find the common denominator of n and q.
60
Let m = 5429/10 + -531. What is the common denominator of -99/338 and m?
1690
Let u(d) = 2*d + 24. Let t be u(-11). Suppose 3*w + 2*s - 12 = 0, -9 = t*s - 3. Calculate the least common multiple of w and 2.
6
Suppose -d - 4*d - 17 = 4*f, -3*d - 21 = -3*f. Calculate the least common multiple of 6 and f.
6
Let c = 13 + -6. Let m be 3 + (8/(-2))/(-4). Suppose m*d = -4*h - 8, 5*h + d + d = 5. Calculate the least common multiple of c and h.
21
Let o be 140/(-42)*(-414)/(-4). Let n be ((-24)/5)/((-114)/o). Let q = n + 1467/152. Find the common denominator of q and -29/22.
88
Suppose 9*k = 13*k + 5*i - 26, 2*i - 4 = 0. What is the smallest common multiple of 8 and k?
8
Calculate the common denominator of 1/2*(-1032)/(-36) and (1/7 + 0)/((-1)/(-29)).
21
Let v = 3069761393/5472014961 - -4/13783413. Let o = v + -289810049/33348. Let h = o + 8695. What is the common denominator of h and -17/16?
48
Suppose 4*m + 21 = 5, -146 = -5*f - m. Suppose q = -2*q - f. Find the common denominator of -131/18 and ((-2)/q)/(28/2485).
36
Let h = -23 - -11. Let f be (h/14)/(5/(-35)). Suppose -f*t + t + 5 = 0. What is the smallest common multiple of t and 4?
4
Let x(z) = 2*z + 1 - 5*z + 4*z. What is the lowest common multiple of 20 and x(11)?
60
Find the common denominator of -13/60 and ((-120)/132)/(-10)*(-26)/(-24).
660
Let g(q) = 3*q + 15. Let n be g(-7). What is the lowest common multiple of 18*(-1)/(9/n) and (3/2)/((-18)/(-168))?
84
Let w = -10594/9 - -2359/2. Let l be 314/48 + 2/6. Let k = l + -571/72. What is the common denominator of k and w?
18
Let i = 298/9 + 5456/63. Let h = -22210880659/176818110 - -1/2525973. Let f = h + i. What is the common denominator of f and 89/4?
20
Calculate the common denominator of 5/88 and (-50)/30 + 1115/1155.
616
Suppose x + 152 = 5*i, 0 = -i + 2*i + x - 34. Let k = -28 + i. What is the smallest common multiple of 2 - (-5 - (-2 - -4)) and k?
9
Suppose -106*w = -111*w + 15. Let l = 83 + -32. Calculate the smallest common multiple of w and l.
51
Suppose 0 = -0*w + 2*w + 5*u - 16, -20 = 4*w - 3*u. Calculate the common denominator of 81/2 and (-222)/(-9)*1/w.
6
Let s be 0 - 56/(4/1). Let z = 26 + s. What is the lowest common multiple of z and 6?
12
Let q be 3 + (-48)/5 + 4/(-10). Let n(u) = -u**2 - 8*u - 3. What is the smallest common multiple of n(q) and 8?
8
Let p = 49276 + -307105/6. Let a = p + 1914. Let r = 3352 + -26761/8. Calculate the common denominator of a and r.
24
Let k = 2/9847 - -836879/571126. What is the common denominator of (-3)/2*20/(-200)*(-158)/6 and k?
580
Let v = -366 + 390. What is the least common multiple of 408 and v?
408
Let l = 4 - 4. What is the lowest common multiple of 2 - (l - 4) - -3 and 1?
9
Find the common denominator of 1*5 - (-1729)/(-392) and 59/18.
504
Suppose -3*z + 9 = 2*w, 5*z + 3 = w + 5. What is the smallest common multiple of (8/(-1)*z)/((-12)/30) and 4?
20
Calculate the common denominator of 74/12 - -2 - (1 + 4) and -45/28.
84
Suppose -4*y + 2 = -22. Suppose -n - 6 = 2*m, 3*n - 4 = m + y. Let i(q) = q**3 - q**2 - 170*q + 502. Calculate the least common multiple of n and i(3).
10
Suppose -2*q - 2*r - 2 = 0, 3 - 14 = -4*q - r. Let x = -83 - -118. Suppose m + x = 4*c + 2*m, 5*m = -25. What is the lowest common multiple of c and q?
20
Let b = -17942 + 7822743/436. What is the common denominator of -71/22 and b?
4796
Let n(f) = -f**2 + 13*f - 16. Let d be n(11). Suppose -d*l + 288 = 12*l. Suppose -2*g = -23 - 17. What is the lowest common multiple of l and g?
80
Suppose 5*t = 18 + 32. Let o = t + -12. What is the common denominator of -9/16 and o/9 + (-2030)/1800?
80
Suppose -2*p = -x - 39, 2*p - 5*x = -0*p + 27. What is the smallest common multiple of p and 15/6 + 1/2?
21
Suppose 55*t = -365 + 915. Calculate the smallest common multiple of t and 403.
4030
Calculate the common denominator of -45/28 and ((-20764)/168)/29 - -3.
84
Let u(d) = -11*d - 56. Let l be u(-5). What is the common denominator of 42/9 + l + (-3)/4 and 1/18?
36
Find the common denominator of 2*340/32 - 6/4 and -63/148.
148
What is the common denominator of ((-314)/(-14))/(2070/(-483)) and -91/110?
330
Let i(a) = -129*a**2 + 5*a + 41. Let z be i(-12). Let v = z - -483371/26. What is the common denominator of -52/3 and v?
78
Suppose b + 71849 = o, 3*o - 215527 = -b - b. Let z be o/50 + -1 + 3. Let v = z - 1432. What is the common denominator of 93/22 and v?
110
Let t(w) = -3*w**3 - 8*w**2 + 5*w + 3. Calculate the lowest common multiple of t(-4) and 11.
517
What is the common denominator of (-105)/(-60) + (-262)/(-8) and 1/4?
4
Calculate the lowest common multiple of 301 and 909/21 - (-9)/(-189)*6.
301
Let l(b) = 7*b - 6. Let m be l(-8). Let u = m - -30. Find the common denominator of (-1)/8 - (-116)/u and -49/10.
20
Let f = -2588 - -56921/22. Let y be 160865/(-10020) - (-3 - 1). Let p = y - -23/167. Calculate the common denominator of p and f.
132
Let c = 37501/926 - -1/463. Let g = 271003/20 - 13547. What is the common denominator of c and g?
20
Let h(u) = 5*u**2 - 23*u + 14. Calculate the lowest common multiple of 8 and h(11).
1464
Suppose 27*i = -5*i + 3456. Calculate the smallest common multiple of 432 and i.
432
Suppose 2*p - z = -3, -z + 2 = -2*p + z. Let m(l) = 316*l + 1. Let r be m(p). Let b = 5629/9 + r. What is the common denominator of b and -95/2?
18
Suppose -12 = -5*v - 52. Let r = 16 + v. Calculate the smallest common multiple of r and 14.
56
Let d(y) = -8*y - 98. Let v(b) = b - 2. Let c(k) = -d(k) - 4*v(k). What is the least common multiple of 6 and c(-20)?
78
Let c = -261 + 185. Let g = -61 - c. What is the lowest common multiple of g and 40?
120
Let a be -14*((-21)/2196)/(-7). Let h = -12359792849/1281 + 9648549. Let m = a - h. Find the common denominator of 37/20 and m.
140
Suppose 0*b + b = 3, -3*x + 2*b - 6 = 0. Let p = x + 4. Calculate the smallest common multiple of 5 and p.
20
Calculate the smallest common multiple of 308 and 5*1 + 486/54.
308
Let k be (-4)/3 - (-44)/6. What is the common denominator of 25/31 and 1*k*39/(-12)?
62
What is the common denominator of (-122)/(8*(-2)/4) and -81/8?
8
Suppose 0 = -2*z - 5*i - 15, 6 = -z - z + 4*i. Let l = 13139/4 + -3261. Calculate the common denominator of ((-586)/z - 3/15)/(-10) and l.
20
Let y = 235743 - 53749277/228. Calculate the common denominato