et l = 428 - -117. Let h = l - 477. Suppose -3*d + 50 = 2*d. Calculate the lowest common multiple of h and d.
340
Let r = 43/100 - 4493/10100. Let g = r - 1463/101. What is the common denominator of 103/44 and g?
44
Let z(f) = f**3 + 41*f**2 + f + 45. Let r be z(-41). Suppose r*j - 18*j + 616 = 0. Calculate the lowest common multiple of 36 and j.
396
Calculate the common denominator of ((-6)/(-7) - 0)*81/3078 and -103/646.
4522
Suppose 11*n - 8593 = -2*n. Suppose -24*r + 275 + n = 0. Suppose -4*u + 26 + 46 = 0. What is the lowest common multiple of r and u?
234
Calculate the common denominator of -143/1200 and ((-74)/24)/(6 + 53 + 1).
3600
Suppose 3*t + 5*h - 7 = 4, 25 = -5*h. Let c(l) = 2*l**2 - 4*l. Let k be c(t). Suppose 8*g = 3*g + k. Calculate the lowest common multiple of 22 and g.
528
Let k be ((-2)/(-4))/(9/(-630)). Let q be (-10)/k + (-5137420)/(-462). Let b = -11122 + q. What is the common denominator of -38/33 and b?
33
Let a = -19 + 92. Let k = a - 1245/17. Find the common denominator of k and -123/10.
170
Let m be -2*7/8*44/(-11). Let y be 3/m + 20520/(-105) - 1. Find the common denominator of -32/11 and (-3 + 4)*(752/y - -3).
539
Let q = 2846211 - 6147815873/2160. Find the common denominator of -67/66 and q.
23760
Let v(x) = x**2 + 227*x + 4. Calculate the smallest common multiple of v(0) and 3799.
15196
Find the common denominator of (-91)/(-320)*3 - (-1)/10 and -95/112.
448
Suppose -9 = a + l, 25*a = 21*a - 5*l - 41. Calculate the common denominator of (-4 + 1626/180)*a/(-8) and 13/10.
60
Let b(y) = -y**3 - 6*y**2 - 8*y - 37. Let d be b(-6). Suppose 2*c - 5*s - d = 0, 2*c = 6*c - s - 31. Calculate the least common multiple of c and 103.
824
Suppose 0 = -3*g - 4*w - 14, 2*g + w + 3 = 2. Let u be (144 - 1) + g/1 + -1. Suppose p - u = -8*p. What is the least common multiple of 138 and p?
1104
Let a(w) = -7*w - 2. What is the least common multiple of -6*(-7)/(-2) - -37 and a(-6)?
80
Suppose -h - 8 - 1 = 0. Let z(u) = u - 5. Let q be z(h). Find the common denominator of (-4)/(-108)*12*q/(-8) and -61/33.
99
Let o = 769 - 356. Let c = -329 + o. What is the least common multiple of 22 and c?
924
Suppose 852*s + 5 = 857*s. What is the least common multiple of 81 and (-1165)/(-30) + 1*s/6?
1053
Suppose 2*h - 5*w = -0*h - 37361, 3*h - 5*w + 56034 = 0. Let z = h + 914941/49. Find the common denominator of z and 30/49.
49
Suppose -5*u + 20 = 5, 21 = f + 3*u. Calculate the smallest common multiple of 12 and f.
12
Suppose 7*p - 14792 = -36*p. Calculate the least common multiple of p and 168.
7224
Suppose -52*y - 714 = -51*y. Let q = y - -819. What is the least common multiple of q and 70?
210
Let j = 12/28417 - -3550973/2728032. Find the common denominator of j and (-310)/(-12) - (-1)/(-3).
96
Let h = -1643 + 1737. What is the smallest common multiple of h and 10?
470
Let h = -214 + 222. What is the common denominator of -101/8 and ((-20)/h)/(-5) - 979/(-176)?
16
Suppose 2*x + 10 = 0, 120*x - 34651 = -6*z + 119*x. What is the least common multiple of 760 and z?
28880
Let q be 1/(99/(-22)) + 110/9. Calculate the common denominator of 2/(-27)*(1863/q)/27 and 91/144.
432
Let g(j) = -19*j**3 + 5*j**2 + 4*j - 2. Let q be g(-2). Calculate the common denominator of -39/7 and (154/(-231))/(-2*5/q).
35
Suppose 2*i - 3*i = -200. Let p be ((-3)/i)/(-6*4/(-2)). Let g = 8901/800 + p. Calculate the common denominator of 24/13 and g.
104
Let q = -30 + 18. Let y = -1/1039 + -96619/8312. What is the common denominator of (1/q)/((-3)/186) and y?
24
Let w be (4 - 391660/96) + (-1 - 0). Suppose -2*g - 6*l + 8176 = -l, 4*l + 8140 = 2*g. Let a = w + g. Calculate the common denominator of 49/10 and a.
120
Suppose 82*x - 83*x + 1302 = 2*s, 3*x + 679 = s. Calculate the least common multiple of 524 and s.
2620
Let a = -13775 + 495857/36. What is the common denominator of ((-6)/(-112))/(3/(-106)) and a?
252
Suppose -225 = h - 6*h + 4*j, 2*h - j - 93 = 0. Let u = 99 - h. Let g = u + -36. What is the smallest common multiple of 8 and g?
56
Calculate the common denominator of 1 + 2 - ((-2)/(-35) + (-1077219)/(-51030)) and 87/6994.
20982
Let b = -125939/20 - -6301. Calculate the common denominator of b and 39/7628.
38140
Suppose -415 = 15*t - 775. Find the common denominator of -9/1538 and t.
1538
Find the common denominator of 2/(-4) + 3/((-8712)/(-1446)) and 43/704.
7744
Let k be 18*(0 - (5 - (-14)/(-3))). Find the common denominator of (-236)/k*(-63)/588 and 0 + 1 + 14/(-16).
56
Let w be (-3 + (-16)/2)*322/2. Let r = 1069 + w. Calculate the common denominator of 47/8 and (12/(-90))/((-8)/r).
40
Suppose 3*r - 4*i - 73 + 6 = 0, 4*r - 3*i = 87. Suppose -52056 = -137*z - 51*z - 6936. What is the smallest common multiple of r and z?
1680
Let o(n) = n**3 - 7*n**2 - 3*n + 23. Let g be o(7). Calculate the common denominator of (g/(120/(-335)))/(55/(-20)) and 35/36.
396
Let s(b) = 3*b - 15. Let j(p) = -p**3 - p**2 - 2*p - 2. Let f be j(-2). Let x be s(f). Calculate the least common multiple of 20 and (-4)/2 + 31*12/x.
1220
Let r = 36553 - 9211337/252. Calculate the common denominator of r and -29/46.
5796
Let t = 6831 - 109377/16. Find the common denominator of -47 - -49 - (1 - 106/16) and t.
16
Find the common denominator of 549/(-141) + 0 + 4 and (-93)/62 + (-49)/3.
282
Let s = -31985/14322 + -2/35805. Find the common denominator of s and 16*(-11 + 918/81).
30
Let u = -142 - -168. Suppose -24*o + u*o = 28. What is the lowest common multiple of o and 32?
224
Let h = -5035815/31 + 130345795/868. Let t = -12276 - h. What is the common denominator of t and 85/42?
84
Calculate the smallest common multiple of (150/45)/((-2)/(-12)) and 20.
20
Let q = -2453409/4085 + -42/4085. Let h = 593 + q. What is the common denominator of h and 1235/572 - 1/4?
55
Let b(k) = -2*k**2 - 69*k + 6374. Let j(p) = 6*p**2 - 3*p + 3. Calculate the lowest common multiple of j(-3) and b(-76).
66
Let y(c) be the second derivative of -3*c**3/2 + c**2/2 - c. Suppose 24*d - 4*d = 240. What is the lowest common multiple of d and y(-1)?
60
Let y = -35779 - -169013. Let z = 66883517/502 - y. Find the common denominator of z and 137/12.
3012
Suppose -154 = -3*g - 3*m + 26, -5*g + 300 = -2*m. What is the smallest common multiple of 435 and g?
1740
Suppose -33*g + 30*g + 71 = 5*b, 4*g = 3*b + 143. What is the lowest common multiple of 16 and g?
32
Let n = -11 + 23. Let o = -328 - -184. Let l = 150 + o. Calculate the least common multiple of l and n.
12
Let d = -10078/9 + 322565/288. Find the common denominator of -79/12 and d.
96
Let f = -1540 - -2494. What is the lowest common multiple of 180 and f?
9540
Let p = 3/2 - -11/26. Let v = 259375/216378 + 20/4007. Find the common denominator of v and p.
702
Let v be 0*(-5)/10 - -2. Suppose v*a = -60 - 36. Let r = a - -50. Calculate the smallest common multiple of r and 29.
58
Let h = 166633/680 + -4196/17. What is the common denominator of (4 + (-2901)/720)/(3/84 + 0) and h?
120
What is the least common multiple of 8/(-8*7/(-448)) and (-2 - (27 + -13))/(4/(-10))?
320
Calculate the least common multiple of 1 and 4792/18*(-3105)/(-690).
1198
Suppose 67 = 2*f - 3*a, 4 = 3*a - 5. Calculate the lowest common multiple of (-82 - -81)/((-2)/(2 + 90)) and f.
874
Suppose 5*u - 2*h = 450, -3*u + 36*h - 37*h = -270. What is the least common multiple of 200 and u?
1800
Suppose 0 = -3*n - h + 5701, -17*h = -4*n - 13*h + 7596. Suppose -2*q + 2*k = k - 761, 5*q = 2*k + n. What is the smallest common multiple of 6 and q?
378
Let t(u) = 9*u**2 - 511*u - 1020. What is the least common multiple of 152 and t(-2)?
152
Let r be (-4278)/66 + (-4)/22. Calculate the common denominator of ((-1)/25)/((-117)/r) and 17/12.
180
Let l(z) = -2*z**2 - 7*z - 1. Let x = 117 + -70. Suppose -x = -3*n - 17. Calculate the smallest common multiple of n and l(-3).
10
Let c(a) = a**3 + 8*a**2 - 63*a - 82. What is the smallest common multiple of 148 and c(-11)?
9176
Let p = 165/238 - 53/42. Let b = 36419/90 + -3981/10. What is the common denominator of p and b?
153
Let y be 14118/1196 + -1*5 + -3. Let o = -1171/69 + y. Calculate the common denominator of o and -1/96.
96
What is the smallest common multiple of 1674 and 64/(-800) - (3 + 15885/(-125))?
3348
Let x be 1/3*4*21/14. Let y = -29513/56 + 527. Calculate