 -449 + 566. Suppose -j + 4*s + 61 = 16, -b = -4*j - 5*s. What is the lowest common multiple of j and 18?
198
Let u(a) = 5*a**3 - 1. Let v be u(1). Suppose -2*m + 4*i - 92 = 10, 4*m + 196 = v*i. Let g = 65 + m. What is the smallest common multiple of 18 and g?
18
Let p(r) = -9*r - 5. Let y be p(5). Let c be (4*1/10)/((-5)/y). Suppose c*q = 6 + 34. Calculate the least common multiple of 4 and q.
20
Let k(l) = 10*l**3 + 3*l**2 + 5*l + 6. Let i be k(-2). Calculate the common denominator of 37/27 and 2/(-3)*(-1278)/i.
54
Suppose w - 59 = 5*p - 106, p + 5*w - 25 = 0. Calculate the least common multiple of p and 2509.
25090
Let t = -2773807469/1930 - -1437206. Find the common denominator of t and -121/50.
9650
Find the common denominator of (-6)/8*4810/(-999) and -52/201.
1206
Let n be (-6)/9*556911/132. Let w = 2815 + n. Find the common denominator of 3/(-9) - 337/42 and w.
154
Let r = -2017751/810 + 2491. Find the common denominator of -103/270 and r.
810
Suppose 0 = 2*u + 2*u + 3*v - 272, -77 = -u - 3*v. Suppose -d - 60 = -5*d + 4*f, 0 = 4*d + f - u. What is the lowest common multiple of d and 14?
112
Let y be 939514/36 + (-36 - -34). Let z = -26088 + y. What is the common denominator of z and 73/39?
234
Suppose -5*d = -8*d - 3*s + 14544, -2*d - 5*s + 9678 = 0. Calculate the lowest common multiple of 33 and d.
53394
Let a = 21 + -6. What is the smallest common multiple of a and (((-1120)/(-48))/(-14))/(10/(-216)*2)?
90
Let b(o) be the first derivative of o**3/3 - o**2 - 76*o - 147. What is the lowest common multiple of b(-8) and 16?
16
Let y be ((-6540)/(-8))/(2 - 116/76). Let u = y + -1720. Find the common denominator of -35/18 and u.
18
Let h(u) = 14*u - 829. What is the lowest common multiple of h(86) and 45?
1125
Suppose -206*f - 40 = -216*f. What is the lowest common multiple of 8788 and f?
8788
What is the lowest common multiple of 246 and (-276)/(3/(-1)) + (-1240)/124?
246
Suppose 2*a - 3 = 11. Suppose -16*d - 373 + 2501 = 0. What is the least common multiple of d and a?
133
Let k(v) = 125*v - 3350. Calculate the smallest common multiple of k(42) and 380.
1900
Suppose -4*s + 5*s - 3508 = -64*t, 5*s = -2*t + 50. Suppose 3*j + 4*q - 338 = j, -j - 3*q + 171 = 0. Calculate the smallest common multiple of t and j.
165
Let o be 1510 - (6/(-2) - (-8 + 2)). Let u = -4469/3 + o. Let v = 29/72 - 3271/792. What is the common denominator of v and u?
33
Let s = -2316 - -2484. Let c(g) = 20*g**2 - g + 2. Calculate the lowest common multiple of c(1) and s.
168
Suppose 33*j = 13*j + 5*j + 25200. What is the smallest common multiple of 2940 and j?
11760
Suppose -3*l + 24 = -2*l. Suppose 40 = -4*u - 3*s + 211, -5*u + 185 = -2*s. What is the least common multiple of l and 2 - (u/(-3) - 3)?
72
Find the common denominator of (-6)/(-1) + -2 - (-110)/(-528) and 15/1076.
6456
Let y(r) = -r**3 - 3*r - 47. Let l be y(-7). Suppose 15*t - l = 1063. Calculate the least common multiple of 16 and t.
368
Let k = -12 + 22. Let i(s) = 55*s - 10. Let o be i(1). Calculate the smallest common multiple of k and (-6)/9 + 435/o.
90
Let v = 4/53 - 411/530. Let n = 26199519/182 + -143953. Find the common denominator of v and n.
910
Let c(d) = -d**2 + 6*d. Let i be c(5). Suppose i*m = -0*m. Calculate the common denominator of ((-645)/(-75))/(2*3) and m.
30
Let d = 116851 + -589484/5. Let n = d + 1036. What is the common denominator of 2/(-2) - 238/12 and n?
30
Let o = 751 + -3069/4. What is the common denominator of o and (23/(-345))/((-304)/6280)?
228
Let m = -2936873845 + 33597836682701/11440. Let j = -1/2288 + m. What is the common denominator of j and ((-1)/5)/(44/(-290))?
110
Let t = -2327252309/1980 + 1175380. Calculate the common denominator of t and -161/330.
1980
Let q = -10379/2224 - 55/139. Let d = q + 337/80. Find the common denominator of d and 117/20.
20
Let o = 151007/141 + 440/47. Let l = 1071 - o. Calculate the common denominator of l and -44/7.
21
Let d be ((-21495)/(-60))/(6/(-8)). Suppose -93*w + 2410 = -98*w. Let q = d - w. Find the common denominator of 2/9 and q.
9
Let l be 1/((-10)/((-560)/399) - 7). Let c(x) be the first derivative of -x**3/3 + 13*x**2/2 - 16*x - 2. Calculate the least common multiple of 14 and c(l).
168
Let v = -4234 + 4234. Suppose -4*y = -37 - 7. Suppose d + 2*a = 4, 3*d + v = -5*a + y. What is the smallest common multiple of d and 10?
10
Let m = -1487508/5 - -297497. Find the common denominator of m and (1/(-157))/(6/134).
2355
Let l(c) = -12*c**2 - 478*c - 198. What is the least common multiple of l(-39) and 16?
192
Suppose 371 = 3*a + 17*i - 12*i, i - 391 = -3*a. Let l = a - 131. Calculate the lowest common multiple of l and 2.
2
Let j(p) = -p**2 - 17*p - 51. What is the smallest common multiple of 2361 and j(-8)?
16527
Let p = -5 - -12. Suppose 0 = -5*u + 5*j + 459 - 384, 0 = u + 2*j + 6. What is the smallest common multiple of u and p?
56
Let z = 3/26434 - 425401/21649446. Calculate the common denominator of -22/63 and z.
819
Let r = 403/7105 + -1/435. Calculate the common denominator of r and 62/261.
12789
Let g(p) = 1 + 5*p - 1 - 2 + 1. Let l(w) = -14*w + 4. Let n(j) = 11*g(j) + 4*l(j). Calculate the smallest common multiple of 6 and n(-5).
30
Let m = 4/65359 + -1114859/61372101. Find the common denominator of m and -25/33.
10329
Let w(u) = 5*u**3 - 9*u**2 + 13*u. Let n(k) = k**2 + 4*k + 5. Let j be n(-1). Calculate the lowest common multiple of w(j) and 33.
330
Suppose 607*b - 204 = 601*b. What is the smallest common multiple of b and 2 + (-49)/7 + 17?
204
Let r = -111 - -138. Suppose 5*z = 53 + r. What is the common denominator of -10/71 and (-2)/z*((-5 - -4) + -4)?
568
Suppose 0 = 5*c + 4*s - 10496, 3*c + 213*s = 211*s + 6298. What is the lowest common multiple of 22 and c?
23100
Calculate the common denominator of 5/63 and (4/(-728))/(6/(-114)).
1638
Calculate the common denominator of ((-2)/(-1320))/((-47)/7097) and -16/3.
660
Let x = 335/48 + -392309/56208. Let m = x + -146363/28104. What is the common denominator of 64/15 and m?
120
Let m(y) = 6*y**2 + 32 - y**3 - 20 - 21 - 3*y. Calculate the smallest common multiple of m(4) and (-6)/10 + 927/45.
220
Let w = -3813 + 68611/18. Let t be 12/(-10)*2210/(-9399). Let k = 14713/3374 + t. Find the common denominator of k and w.
126
Let m = -44 + 34. Let d(a) = -3*a - 27. Let z be d(m). Suppose -x = -3 - z. What is the smallest common multiple of 21 and x?
42
Let x(i) = 2*i + 12. Suppose 9*h + 15 = 6*h. Let k be x(h). Calculate the common denominator of k/((-48)/99)*8/(-42) and 93/10.
70
Calculate the common denominator of 11/40 and 4 + 42845/(-6200) - (4 - (-42)/(-6)).
1240
Calculate the smallest common multiple of (20/(-6))/1*-3 and -2 - -8 - (19/5 + (-4)/(-20)).
10
Let s(q) = -2*q + 27. Let g(z) = 4*z - 55. Let b(j) = -4*g(j) - 9*s(j). What is the least common multiple of b(13) and 116?
348
Suppose -g + 434 - 459 = -z, -z + 18 = -2*g. Suppose 0 = -5*k - f + 63, 5*k - 4*f = 4*k. Calculate the lowest common multiple of z and k.
96
Let r be (-9)/(((-64)/(-216))/(-8)). Suppose 10*j = r + 1197. What is the lowest common multiple of j and 54?
432
Let a = -3989 - -4058. Calculate the smallest common multiple of a and 138.
138
Let l = 9276/5 - 1847. Find the common denominator of -83/44 and l.
220
Suppose -5*a - 24 = -9*a. Find the common denominator of -3 + 4 - (1413/270 - 2) and a/(-15) - 386/(-165).
330
Suppose 0 = -3*f + 5*y + 1759 + 3941, -f = 3*y - 1900. Calculate the smallest common multiple of f and 608.
15200
Suppose 0 = -4*d + 8, 0 = -u - 0*u + 4*d + 3. Let m = -11 + u. Suppose -4*i = f - 3, 3*i = -m*i - 6. Calculate the least common multiple of f and 3.
33
Let p = 5546143/70 - 79229. Find the common denominator of p and 38/35.
70
Let b be (705/9 - -1)*555/(-20). Let g(o) = 1128*o - 9. Let k be g(2). Let d = k + b. Calculate the common denominator of 37/12 and d.
12
Let w = 107 - 173. Let t = w - -67. Find the common denominator of -61/8 and ((-595)/190 - -3) + t.
152
Suppose 2*c - 7*d + 5*d - 40 = 0, 4*d - 8 = 0. Let p = -4903 + 166681/34. Find the common denominator of p and (-36)/c*14/21.
374
Let f(q) = -186*q - 18 - 194*q - 180 + 443*q. What is the lowest common multiple of f(4) and 60?
540
What is the common denominator of 59/66 and (-10)/(-54)*2772/1680?
396
Find the