*m + r + 277 = -0*m, -6 = -3*r. Let u = m - -123. What is the smallest common multiple of u and 15?
30
Let c(g) = 18*g + 128. What is the least common multiple of 96 and c(-6)?
480
Let r = -63 + 60. What is the lowest common multiple of 52 and r/6 + (-37)/(-2)?
468
Let i(n) = -n**2 - 6*n - 4. Let b be i(-5). Let o = b - 7. Calculate the common denominator of (-795)/(-231) + o/(-21) and 52/11.
11
Suppose 5*t = 4*h - 23, h - 5*t = -3*t + 8. Let b be (13 + -1 + 0)*(-56)/21. Let m = -28 - b. What is the least common multiple of h and m?
4
Suppose 0 = 2*n + 2*w - 236, n - 4*w - 98 = -0*w. Let y(z) = z**3 + 6*z**2 + 6*z + 4. Calculate the least common multiple of n and y(-4).
228
Let g(m) = m**3 - 10*m**2 - 10*m + 19. Let u be g(9). Let p = -137 - u. What is the least common multiple of p and 3?
15
Calculate the smallest common multiple of 1/(-4 + (237/(-120) - -6)) and (-45)/(-1) - (3 - 3).
360
Find the common denominator of 54/90*-1*(-19)/(-9) and -61/21.
105
Let k be 32/112 - (-534986)/(-308). Let q = k - -1737. Find the common denominator of q and 93/10.
110
Suppose 4*x - 3 = 2*h + 13, x + h = 4. Suppose 0 = -p - 3 + x. What is the common denominator of 1 + p - (-49)/4 and -83/6?
12
Let a be (-20)/(-30) + 4/3. Let t(j) = 7 + j**2 + 21*j - 4*j + 2*j**a. What is the lowest common multiple of t(-7) and 1?
35
Find the common denominator of 70/(-40) - 29/(-84) and -59/24.
168
Let g = -70 + 61. Let w = -1781/270 - -25/54. Find the common denominator of w and g.
15
Let b(a) = 152*a + 785. Calculate the lowest common multiple of 55 and b(-5).
275
Suppose 313*f = 310*f + 30. Calculate the smallest common multiple of 229 and f.
2290
Let m(t) = t**3 + 6*t**2 - 8*t + 5. Let j = 386 - 368. What is the lowest common multiple of j and m(-7)?
36
Calculate the common denominator of 5/22 and 16324/(-7920) - 4/(-3).
1980
Let p = 2983/8823 + 162/173. Find the common denominator of -19/187 and p.
561
What is the smallest common multiple of (68 + -44)*2/8 and 369?
738
What is the common denominator of ((-21352)/224)/17 + (-2)/8 and (-1394)/84 + -2 + 68/28?
42
Suppose -7*n = 1 - 8. Calculate the least common multiple of 20 and (3/(-2))/(n/(-48)).
360
Suppose 2*r = -3*z - 23, -3*r = 3*z - 0*z + 27. Calculate the common denominator of -103/20 and r/(-10)*3425/120.
60
Let i = 13 - -5. Calculate the lowest common multiple of 44 and i.
396
Let u = -203/18 + 1097/90. What is the common denominator of -51/40 and u?
360
Suppose 2*k = -2*a + 26, -85*k + 1 = -86*k. Let v(n) = n - 4. Let f be v(6). Let q(p) = 3*p**2 + 3*p - 2. What is the least common multiple of q(f) and a?
112
Let o = -61 + 71. What is the smallest common multiple of 135 and o?
270
Let k(g) = 9*g - 3 + 12*g + 1. Let s be k(-10). What is the common denominator of s/80 + 0 + -3 and -51/16?
80
Let b(i) = 622*i + 5. Let z be b(5). Find the common denominator of z/(-60)*2/7 and -21/10.
30
Let z be (2 + (-7)/3)*-72. Suppose h + 5 = -i + 17, -3*i + z = -3*h. What is the least common multiple of 34 and i?
170
Let b be 4/(-1*1/(-1)). Suppose -7*a + 8 = -3*a. Suppose b*j - a = 6. What is the smallest common multiple of 6 and j?
6
Suppose -14 = 200*o - 207*o. Calculate the smallest common multiple of 20 and o.
20
Suppose 12*i - 3*s = 9*i + 51, -3*i = s - 55. Calculate the lowest common multiple of 24 and i.
72
Let w = 1710 - 1686. Calculate the least common multiple of 20*(-3)/(-6) - 2 and w.
24
Let d = 54/325 - 13213/7150. Calculate the common denominator of d and 67/98.
1078
Let y be (18/12)/(1 + 478/(-488)). Let k = 16481/230 - y. Calculate the common denominator of 71/18 and k.
414
Let u = 101 + -97. What is the common denominator of 29/3 and 32/(-30) - 9/(12/u)?
15
Let x = 243 + -199. Calculate the smallest common multiple of x and 8.
88
Calculate the common denominator of 37/110 and 365*7/140 - (-2)/(-8).
110
Let k = 6 + -4. Let q be (-13 - -7)/((-6)/16). Suppose 2*p = -k*p + q. What is the smallest common multiple of 16 and p?
16
Calculate the lowest common multiple of (21/(-6))/(2/(-16)) and 28.
28
Find the common denominator of (507/126 - 1) + -2 and -61/6.
42
Suppose 3*w = 8 + 4. Let b be (1 - 4 - (-8)/(-24))*18. Let i = -48 - b. What is the least common multiple of w and i?
12
Calculate the common denominator of (-426)/(-416) + 47/(-752) and -29/78.
78
What is the common denominator of (40/(-500))/(68/(-590)) and -9/20?
340
Suppose 5*p + 8 - 2 = n, 2 = -n + 3*p. Let w = -485 - -521. What is the common denominator of w and (-2)/n*3/6?
14
Calculate the lowest common multiple of 184 and (-611)/(-141) - (-2)/(-6).
184
Let v = -3 + 8. Suppose v*o + 8 = -2*a, -4*o = -0*o - 3*a - 12. Suppose 3*f - 4 = 4*q, o*f + 14 = 5*q + f. What is the least common multiple of 18 and q?
18
Let l = 81/40 + -4587/2360. What is the common denominator of -31/7 and l?
2065
Let p(d) = -d**3 - 17*d**2 - d - 11. Let j(t) = t**3 - 14*t**2 - 17*t + 13. Let b be j(15). Calculate the smallest common multiple of p(b) and 8.
24
Let w(k) = -1 + 0*k**2 + 2*k - 6*k - k**2 - 1. What is the least common multiple of w(-2) and (1 - 5) + 8 - -5?
18
Let a = -30/11 - 25/132. Find the common denominator of a and -75/86.
516
Let u = 837 + -819. What is the least common multiple of u and 72?
72
Let q(h) = -13*h - 627. Calculate the smallest common multiple of 16 and q(-49).
80
Let b = 1634176303/700 - 2334537. Let w = b + 21/100. Let d = -302/7 - -93/2. What is the common denominator of d and w?
14
Suppose -4*p + 3*v + 20 = -12, -3*p - 1 = 4*v. Suppose 2*d = 3*d - p, 4*d + 12 = 4*f. Calculate the lowest common multiple of 14 and f.
56
Let c = 142 - 76. What is the smallest common multiple of c and 36?
396
Let o(a) be the third derivative of 13*a**5/60 - a**3/6 - 18*a**2. What is the smallest common multiple of o(1) and 12?
12
Let p = 45506/5 + -274109/30. Let d = p + 168/5. Calculate the common denominator of d and (-2)/(-17)*(-237)/12.
102
Suppose -4*y + 2*n + 12716 = 0, 2*y + 4*n - 4589 = 1779. What is the common denominator of 2/10 + y/(-1400) and (1*13)/(-2 + 20)?
126
Let a(b) = b**3 - 5*b**2 + 5*b + 7. What is the smallest common multiple of 158 and a(3)?
316
Let t = 1859/5 + -26591/70. Let h be (-964)/1230 + 8/10. Let y = h - 541/492. Find the common denominator of t and y.
84
Let m = -2/93283 + -99626230/652981. Let n = m + 18310/119. Let l = -4917/4 + 1209. Find the common denominator of n and l.
68
Let f(s) = -33*s - 288. Calculate the least common multiple of 48 and f(-12).
432
Let i = 124541 - 45831027/368. Find the common denominator of -27/16 and i.
368
Let u(z) = z**2 - 8*z + 8. Let m = 29 - 23. Let t be u(m). What is the smallest common multiple of (4/(-8))/(t/32) and 13?
52
Let b = 1116 + -5517/5. Let u be (14/(-20))/(12/(-1035)). Let m = 269/4 - u. What is the common denominator of m and b?
40
Suppose -5*j + 28*r + 494 = 22*r, 4*j - 430 = -r. Calculate the least common multiple of 1/2 - 6/(-4) and j.
106
Let o = 92 - 88. Suppose -2*f + 69 = i - 2*i, o*f - 150 = -2*i. What is the lowest common multiple of 16 and f?
144
Suppose -8 - 19 = -3*h. Let b be 324/(-567) + (-3)/(21/(-4)). Suppose b = 10*f - 13*f + h. Calculate the smallest common multiple of f and 11.
33
Let q(u) = -13*u**2 - 3*u + 0 - 11*u + 10 + u**3 + 18*u**2. What is the least common multiple of 7 and q(-7)?
70
Let v = 58 - -12. Let r = 98 - v. Calculate the least common multiple of 32 and r.
224
Let n = -193421/14 - -13823. What is the common denominator of n and (-5 - -2) + 865/200?
280
Let k(n) = 3*n**2 + 2*n. Let x be k(2). Find the common denominator of (-617)/264 - (-2)/x and -22/3.
33
Let b = -5003/6 + 831. What is the common denominator of 107/6 and b?
6
Suppose -4*x + 85 = -9*x. Let g = x + 24. Calculate the smallest common multiple of 7 and g.
7
Let d be (-1)/4 - (-70876)/283632. Let k = d - -1648643/283632. Find the common denominator of 35/2 and k.
16
Let y = 33377/4104 + -4/513. Let t = 4/7597 - -387383/121552. Calculate the common denominator of y and t.
16
Let v be (11 + -1)/(18/(-537)). Let u = v + 287. Find the common denominator of u and 21/8 - 20/4.
24
Let b = -1/516 + -251/3612. Find the common denominator of -61/70 and b.
70
Let j = 3053/3 + -36605/36. What is the common denominator of 109/30 and j?
180
Let l = -256 - -3071/12. What is the common denomina