
Suppose 3*h + i + 61 = 84, -1 = -h + i. Calculate the smallest common multiple of h and 102.
102
Suppose -8 = u + 2*s, -8*s + 4*s + 8 = -4*u. Let o = 15 + u. Suppose o*h = 8*h + 48. Calculate the lowest common multiple of h and 174.
1392
What is the least common multiple of 12/(-16)*(16/3)/(-2) and 2329?
4658
Let t = 385080529/88 - 4376117. Let z be 17162/88 + 1/4. Let q = t + z. What is the common denominator of q and 83/2?
8
Let o(x) = x**3 - 19*x**2 + x - 20. Let j be o(19). What is the common denominator of 1/5 + 436/120 and ((-297)/60)/j + 1?
60
Let q = 74471/287 + -1815/7. Let g = 190/287 + q. Calculate the common denominator of 3*1*12/10 and g.
35
Suppose -2*v + 4*l + 10 = 0, -2*l + 5 = v - 6*l. Let d be -6 + v + (-3914510)/(-96). Let k = 40772 - d. Find the common denominator of k and 35/2.
48
Let j = -2248 + 107941/48. What is the common denominator of ((-160)/(-1728))/((-70)/98) and j?
432
Suppose 2*k + 4*a = -165 + 785, 0 = -5*k + 2*a + 1622. Calculate the lowest common multiple of k and 84.
1932
Calculate the common denominator of 4 - ((-5 - 53695/(-2820)) + -10) and -37/24.
1128
Let i be ((-3)/6)/(9/(-18))*5. Suppose 0 = -2*h - d + 17, -i*d = -4*h + 5*h - 31. Calculate the least common multiple of h and 12.
12
Let y = -2120471/50 + 42408. What is the common denominator of 41/18 and y?
450
Suppose x - 5*y - 36 = 0, -2*x + 4*y + 48 = -0*x. Suppose 0 = -10*z + 30*z - 140. Suppose 43 - 85 = -z*f. What is the least common multiple of f and x?
48
Let u(s) = 2*s - 28*s - 16*s - s**2 - 23 + 18*s + 26. Calculate the least common multiple of 121 and u(-21).
726
Let b be ((-62)/(-124))/(1 - (-55)/(-54)). What is the least common multiple of -7 + 61/9 + (-60)/b and 33?
66
Let v be ((-12)/(-22))/(216/3564). Let u(b) = 2*b**3 - 18*b**2 + 3*b - 3. What is the lowest common multiple of u(v) and 222?
888
Let s be (-314)/4*(-9 - -5). Let q = 671 - s. Calculate the common denominator of -37/7 and 527/q + (-4)/(-6).
7
Let a = 201669 - 83692694/415. Calculate the common denominator of a and -6/11.
4565
Suppose -4*c + 0*h = 3*h - 147, -4*h = 4*c - 148. What is the common denominator of ((-6)/c)/((-2)/(-272)) and 53/16?
48
Let g(k) = -1839*k - 3639. What is the lowest common multiple of g(-2) and 364?
1092
Let n = 105 + -200. Find the common denominator of -75/16 and ((-494)/n)/((-32)/(-70)).
16
Let c(p) = -723*p**2 + 10*p + 13. Let z be c(9). Let k be (1 + 7366224/189)*(-33)/(-22). Let u = z + k. Calculate the common denominator of u and -29/30.
210
Let j = 25 + -13. What is the smallest common multiple of (-3)/j*2*(15 + -19) and 1?
2
Let v(n) = 2*n**2 - 6*n + 12. Calculate the least common multiple of v(2) and 196.
392
What is the smallest common multiple of -126 + 374 + (-16)/(1 - -1) and 440?
2640
Calculate the common denominator of -109/700 and 1/(-15) + (-17 - 1077108/(-63000)).
3500
What is the common denominator of 32/8 - ((-5)/(-12))/((-4)/(-44)) and -23/816?
816
Suppose -539*q = -538*q + 504. Let i = -286 - q. Calculate the least common multiple of i and 10.
1090
Let f = 785/2 - 1909/5. Let v = f - 136/5. What is the common denominator of 93/14 and v?
14
Let z = 4/193 + -16823/1544. Let c be (-6 - -2) + 260260/45. Let f = 5787 - c. Find the common denominator of z and f.
72
Suppose -54*y - 26631 = 24993. What is the common denominator of 139/18 and 4/(-16) - y/(-528)?
198
Calculate the lowest common multiple of 805 and 192/(-256) - 1941/(-12).
805
Let x = 543 + -275. Let r = x - 240. What is the smallest common multiple of 48 and r?
336
Let s be -2 - ((-146)/24 + 4). Let g be (-22)/24 + -1 + 4/2. Let j = s + g. Calculate the common denominator of j and -93/2.
6
Let g(o) = -4*o**3 - 4*o + 4. Let t be g(-3). Let r = 193 - t. Calculate the lowest common multiple of r and (-66)/(-7) + 18/(-42).
207
Suppose -49*q + 47 = 21*q - 23. Calculate the lowest common multiple of q and 968.
968
Let x = 2008 + -32175/16. Calculate the common denominator of x and -11/1046.
8368
Suppose -4*p - 479 = -3*b - 119, 3*p - 480 = -4*b. What is the least common multiple of 44 and b?
1320
Find the common denominator of (18/(-16))/(114/988)*(-3)/(-10) and -73/2608.
13040
Calculate the least common multiple of 3/6*-12 + (2 - -4) + 6347 and 2308.
25388
Let w = -68/1069 + -17820/257629. What is the common denominator of -40 and w?
241
Find the common denominator of (-6)/(-14) - (10 + 1300/(-168)) and 53/4832.
14496
Suppose 3*g = 5*f + 179, 2*f + g = -3*f - 167. Let x = -10 - f. Let c = 27 - x. What is the least common multiple of 9 and c?
9
Let o = 261115/12 + -21750. Let r = -344/5 - -2759/30. Find the common denominator of o and r.
12
Let i(u) = -u**2 - 26*u - 14. Let v be i(-25). Suppose 10*z - v*z + 12 = 0. Calculate the smallest common multiple of z and 48.
48
Suppose 0 = -8*z - 254 - 3578. Let k = 653 + z. Calculate the smallest common multiple of k and 12.
348
Let c = 22960 + -1033147/45. Calculate the common denominator of c and 127/6.
90
Calculate the common denominator of -31/4 and -9 + (-9)/(-7 + (-147)/(-23)).
28
Let n = -81 + 82. Let k(i) = i**3 + 15*i**2 - 15*i + 10. Let s be k(-16). Let u(g) = g + 9. Calculate the smallest common multiple of u(s) and n.
3
Let h(z) = 5*z**3 + 4*z**2 - 96*z + 19. Calculate the lowest common multiple of 296 and h(7).
5032
Suppose -168*l + 171*l + 17 = m, -56 = -3*m + 4*l. Suppose r - 3*q = -0*q + 197, -3*q - 779 = -4*r. What is the least common multiple of m and r?
1940
Let l = 58696422025567/24330 + -2412512204. Let n = l - -25/811. What is the common denominator of 0 - -14*26/(-32) and n?
120
Let j = -171 - -149. Calculate the least common multiple of 27 and j*(78/(-12) - -5).
297
Let j(t) be the third derivative of -5*t**4/24 - 7*t**3/3 - 129*t**2. Calculate the lowest common multiple of 52 and j(-3).
52
Let s = 2311 + -32381/14. Let y = -33395/3906 - -59/217. Calculate the common denominator of y and s.
126
Calculate the common denominator of 417/60*(-8)/(-12) and 73/75.
150
Let r be ((-2)/(-109358))/(7/(-7)). Let v = r + 5960051/2187160. Let s = -13/4470 + -68096/24585. Find the common denominator of v and s.
440
Let h = 37 - 21. What is the common denominator of -47/4 and h/132*4487/224 + -3?
264
Let t be (44/(-8))/((-6)/(-144)). Let p = t - -148. What is the least common multiple of p and 4?
16
Let s(l) = -4*l**3 + 5*l**2 - 3*l - 6. Let g be s(3). Let f = -92 - g. What is the common denominator of (7/f - 1)*178/(-18) and -5/41?
246
Suppose k + 37*k - 36948 - 13326 = 0. Calculate the least common multiple of k and 30.
13230
Let y = 21 + -17. Suppose -z = y*u - 14, 6*u + 5*z - 25 = u. Calculate the common denominator of 1/(3/u)*130/6 and 76/9.
9
Let p be (22/(-3))/(16/(-24)). Let y be (p - 10) + (-1 - -1). Find the common denominator of 41/8 and y/(36/267*-3).
72
Suppose -11*t = -5*m - 14*t + 198, 2*m - 76 = -2*t. Calculate the common denominator of (6/112)/1*20 and 567/(-294)*m/4.
28
Let s(w) be the first derivative of 4*w**3/3 - 9*w**2 - 12*w - 13. What is the least common multiple of 27 and s(6)?
216
Let t(d) = 4*d + 8*d**3 + 15*d**2 + 0*d**3 - 7*d**3 - 26. Let i be t(-26). Let k = i + 249725/33. Calculate the common denominator of k and 20/33.
33
Let w(b) = 2*b**2 + 21*b + 10. Let r be w(-8). Let g = r + 33. Suppose n + 5 = -4*u, g*u = 3*n + u - 27. What is the smallest common multiple of n and 9?
63
Let j be 34/(-2) - 1*36/9. What is the common denominator of (-5 - j/98) + -1 and 85/26?
182
Let v be (-54)/(-42) + -1 - (-206)/14. What is the least common multiple of (-6)/(-9)*v/(-20)*-102 and 1?
51
Let w be ((-9)/(-7))/((-7)/(-49)). Suppose 40*b = w*b + 1302. What is the smallest common multiple of b and 42?
42
Let f = 4987/4730 - 854/645. Calculate the common denominator of f and 163/1320.
1320
Let v(b) = b**2 + b - 14. Let a be v(-4). Calculate the least common multiple of a + 986/14 - (-28)/49 and 3.
69
Suppose -q = 4*t - 4*q - 73, 0 = -3*t - 5*q + 33. Calculate the lowest common multiple of 12464/2337*(-15)/(-4) and t.
80
Let a = -261 - -299. Suppose 5*o = a*o - 1320. What is the least common multiple of o and 85?
680
Suppose 399 = 84*t - 439 - 1934. Suppose 7*u - 15 = 2*u. Calculate the lowest common multiple of u and t.
33
Find the common denominator of (-54*1/(-147))/((-15)/(-63)) and 36/25.
175
Let q(z) = 