 = 5*n - a, 0 = -25*n + 30*n + y*a - 188. What is the least common multiple of 12 and n?
36
Suppose z = -2*z + 42. Let m = z - 3. Suppose 39*a - 5*g - 29 = 36*a, -4*a + 20 = -2*g. What is the smallest common multiple of a and m?
33
Let l(s) = 35*s + 185. Let r be l(-9). Calculate the smallest common multiple of 20/6*(-312)/r and 10.
40
Suppose 5*j + 0*q - 3*q - 25 = 0, -5*q + 9 = -2*j. Let l(w) = 54*w**2 - 1674*w + 32. Calculate the least common multiple of l(31) and 38/j + 10/40.
160
Let u = -38/15 - -269/20. Let a(w) = -1140*w**2 - 2*w + 3. Let t be a(1). Let d = t - -3487/3. What is the common denominator of u and d?
12
Suppose -1 + 16 = 3*j. Suppose -79 = 4*k - j*x, 2*x = 1 - 3. Let h = k + 35. Calculate the lowest common multiple of h and 14.
14
Calculate the common denominator of 97/32 and (-53019)/4356 + -5 - -17.
3872
Let t(i) = -2*i**3 - 49*i**2 - 151*i - 19. Calculate the lowest common multiple of 175 and t(-21).
2275
Let n = -94153/88 + 8547/8. Let u be (-324199)/44 - (-3)/12. Let p = u - -7363. Find the common denominator of n and p.
11
Let w = 10 - -2. Suppose -5*c = 5, -4*x + c - 69 = -9*x. Suppose -13*p + 103 = -x. Calculate the least common multiple of p and w.
36
Suppose -2079 = -3*v - 22*t + 19*t, -1386 = -2*v + t. What is the lowest common multiple of v and 12?
2772
Let o = -115 - -108. Calculate the common denominator of (-165)/(-16) + o - 1 and 23/32.
32
Let q = -236/2497 + 838151/9528552. Calculate the common denominator of q and 145/1908.
3816
Suppose -37 = 8*p - 13. What is the common denominator of (-1862)/2109 - 2/p and -41/9?
333
Suppose 0 = 5*w - 1 - 9. Let y(h) = -5*h + 56. Calculate the least common multiple of y(10) and w.
6
Let l(y) = 5*y - 137. Let n(r) = -26*r + 688. Let a(f) = -16*l(f) - 3*n(f). What is the lowest common multiple of 4 and a(16)?
96
What is the common denominator of -3/32 and 15/(-192)*-88*(-1)/35?
224
Let w(b) = 2*b**2 - 2*b + 26. What is the lowest common multiple of 132 and w(5)?
132
Calculate the smallest common multiple of 12 and 24/(-2) + (-176)/(-22) - -50256.
150756
Find the common denominator of 50/7 and ((2793/32)/(-19))/(-12).
896
Let m = 2/31893 + -839861/191358. Find the common denominator of (3/((-36)/53))/((-12)/(-144)*-18) and m.
18
Suppose 13 = -8*q + 29. What is the smallest common multiple of q/((-2)/(-5) - (6 + -6)) and 67?
335
Let j = -72515 + 10152057/140. Let m be (-2330)/140*(-2 - 142/(-80)). Let v = j + m. Find the common denominator of v and -47/16.
16
Let k be ((-1548)/16)/(-9) + (-5)/(-20). Let m = 19 + k. Calculate the smallest common multiple of m and 144.
720
Suppose -5*f + 43 = -3*t, 5*f - 3*t - 44 = t. Suppose 0 = -20*y + f*y + 420. Calculate the smallest common multiple of 63 and y.
315
Let a = -239 - -417. Let b = 1787/10 - a. What is the common denominator of 13/19 and b?
190
Let g = 50738/15 - 3384. What is the common denominator of g and 10/(-6)*(11 - (-30440)/(-2700))?
405
Let m be 1017/24 - (-75)/30. Let f = -13 - -53. Let d = m - f. Find the common denominator of -44/7 and d.
56
What is the common denominator of 1*2 - ((-4466)/(-495) - 5) and -57/415?
3735
Let c(o) = -o + 7. Suppose 4*j - 127 - 1 = 0. Suppose -2*t = 2*r - 6*r + j, r = 5*t + 8. Calculate the least common multiple of c(6) and r.
8
Suppose v - 22 - 26 = 4*p, -v = -6*p - 36. What is the least common multiple of v and 4716?
9432
Suppose 21*x - 22*x = -14. Let m be (-1 + 1 + -1097)*x/(-876). Let w = 22/73 + m. What is the common denominator of -13/3 and w?
6
Let w = 16/2231 - 242461/522054. Calculate the common denominator of 19/105 and w.
8190
Suppose 698 + 199 = 26*m - 16419. Calculate the lowest common multiple of m and 45.
3330
Suppose 6634 = 57*d + 2159 - 3049. Calculate the least common multiple of 99 and d.
396
Suppose 3*i - 227 = 5*f + 2*i, 186 = -4*f + 3*i. Let l = 48 + f. Calculate the lowest common multiple of -18*(l + 33/(-6) + 1) and 33.
297
Let h be 20/11 + 14/77. Suppose -h*n - 2*n = -36. Let v = n + 14. Calculate the smallest common multiple of v and 3.
69
Let o = 14 + 3. Suppose 5*x - u = -o, 3*x + 4*u = 3*u - 7. What is the least common multiple of 9 and (-12)/(-14) + 88/28 + x?
9
Let i be -4 - (3/2)/((-1872)/(-93676)). Let t = i + 972/13. Find the common denominator of t and -29/4.
24
Let v be (-56)/10 + 4/(-20)*2. Let y be v*(1*-24)/(-4). What is the smallest common multiple of 2 and ((-24)/(-72))/(2*(-2)/y)?
6
Let z = -96 + 104. Suppose -5*t = -z*o + 3*o - 235, 3*t = -3*o + 129. Calculate the least common multiple of t and 50.
450
Let n = 15028 + -44239/3. Let x = n - 3665/12. Let m = 83413 - 5838779/70. Find the common denominator of x and m.
140
Let z be (-41828098)/(-14462534) + (-6 - 0) + 3. Let x = -2/43301 - z. Calculate the common denominator of ((-12)/9 + 1)*177/(-10) and x.
1670
Let t(c) be the first derivative of -c**4/4 - 7*c**3/3 + 19*c**2/2 + 19*c - 16. What is the lowest common multiple of 18 and t(-9)?
90
Let s be (-67331)/24 - 3/(-3). Let u = s + 2805. What is the common denominator of u and 1197/672*8 + (9 - 0)?
24
Let a be 3 + 12/6 + (-60679)/9576. Let t = 25/266 - a. What is the common denominator of t and 37/156?
936
Let g = 7223 - 7222. Calculate the lowest common multiple of g and 1284.
1284
Find the common denominator of (-182)/(-152) - (-6)/(-4) and 41/16.
304
Let h = -1116/7 - -9397/56. Let f = 2899 + -130472/45. Find the common denominator of f and h.
360
Suppose 13*r = 6*r + 35. Let b be r*(-6)/(-20) - 17454/(-28). Let u = b + -627. What is the common denominator of u and 7/19?
133
Suppose 33 = w + 30. Let p = 178 - 167. Calculate the least common multiple of w and p.
33
Let n be (-610)/(-2)*(-46)/115. Let q = n + 104. Calculate the lowest common multiple of 47 and (3 + 1/3)*q/(-10).
282
Suppose 79 = b - 2*c - 28, 0 = 4*c - 4. Suppose 99*u + 210 = b*u. Let i = 59 - 35. What is the least common multiple of u and i?
168
Let i(x) = -2*x**3 - 3*x**2 + 2*x + 3. Let q = 21 - 24. Let o = 572 + -567. What is the lowest common multiple of i(q) and o?
120
Suppose -5*x = 5*u - 8745 - 285, -4*u - 1806 = -x. What is the lowest common multiple of x and 20?
18060
Suppose -24061 = 3*c - 29*s + 30*s, -5*s = -2*c - 16069. Let h be (673515/(-6) + -2)/(-14). Let i = h + c. Find the common denominator of 83/18 and i.
252
What is the common denominator of 59/368 and (-2378)/123 - 3*5/(-3)*1?
1104
Suppose 0 = 5*n - 4*h - 18047, -5*n + 18029 = -h + 3*h. Let a = -14497/4 + n. Find the common denominator of a and 232/28 + (7 - (15 - 8)).
28
Let i = -749 - -1704. Let l = i - 951. What is the smallest common multiple of l and 12?
12
Suppose 5 = 14*i - 9*i. What is the smallest common multiple of 16 and 680/102*(4 + (0 - i))?
80
Let c = -2 + 22. Suppose 0 = 7*r - 2*r - c. What is the lowest common multiple of (-80)/(-7) + (-171)/399 and r?
44
Suppose -6 = 2*x, 2*a = -2*a - x + 557. What is the least common multiple of 18 and a/5*40/70?
144
Let x(z) = z**3 + 13*z**2 - 3*z - 175. Let g be x(-12). Let d = 1 - 0. Suppose 3*b + 23 = 4*j, j - g*b + 2*b = -d. What is the least common multiple of j and 6?
24
Calculate the common denominator of 1/(-6) + (-272)/(-264) and -75 + 81 - 50/28.
154
Suppose y - 9 = 2*r, 4*r + 19 = y + 6. What is the least common multiple of -4*1*(r - 63/7) and 110?
220
Let k be ((-248)/156)/((-3)/162). Let g = 693010/8073 - k. Let i = 4205/1242 - g. What is the common denominator of i and -73/8?
72
Let a = 76691/20 - 19143/5. Let b(n) = 14*n**2 + 21*n - 71. Let m be b(5). Find the common denominator of (12/32)/(m/78 + -5) and a.
40
Let a(p) = 84 + 90 - 212 - 20*p. Calculate the smallest common multiple of 70 and a(-2).
70
Let w(u) = u**3 - 13*u**2 + 33*u - 3. Let r(c) = 4*c**3 - 39*c**2 + 100*c - 8. Let x(n) = 2*r(n) - 7*w(n). What is the least common multiple of 25 and x(-15)?
100
Find the common denominator of 31/1848 and (-12)/238*((-176)/(-726))/2.
31416
Let j(o) = 3*o**2 + o**2 + 113*o + 66 - 115*o. What is the least common multiple of 66 and j(0)?
66
Suppose 0*m = 5*m - 3*v - 776, v = -4*m + 614. Let f = m - 132. Let l(y) = -3*y - 1. What is the lowest common multiple of f and l(-5)?
154
Let b = 104 + -140. Find the common denominator of -7/12 and 195/b + 1/((-1)/(-3)).
12
Suppose -253*u = -234*u + 7790. Let f = u + 420. What is the least common