 2235749317/276. Let j = k + u. What is the common denominator of j and -41/12?
12
Let i(d) = -868*d**3 + 2*d**2 - d. Let x be i(4). Let g = 31184 + x. Let h = 438001/18 + g. Find the common denominator of h and -61/10.
90
Suppose 3*b = r + 2 - 16, -72 = -4*r - 4*b. Calculate the common denominator of -131/18 and (r/51)/(10/(-166)).
90
Calculate the common denominator of 35/16 and 2943/3156 + (3 - 0 - 4).
4208
Find the common denominator of (-297)/55*10/(-21) and -18/101.
707
Suppose -67*i + 104 = -66*i. Suppose -100*k = -i*k + 28. Let p(b) = 3*b. What is the least common multiple of p(1) and k?
21
Suppose 40 = -3*c + 5*c. Let u(q) = c*q + 1 + 0 + 23*q. Find the common denominator of 127/6 and u(-1).
6
Let y = -344/45 + 836/105. Calculate the common denominator of y and -31/18.
126
Suppose 40*w = 6*w + 1428. Calculate the least common multiple of 70 and w.
210
Let w = -5971/4 - -1500. Let d = 28592357/120 - 238271. What is the common denominator of w and d?
120
Suppose -9646 = -3*t - 50*t. Calculate the lowest common multiple of 130 and t.
910
Suppose 5*x = 13 + 32. Suppose 3*p + 2*u - 86 = 0, 5*p - 114 = 2*u + 2*u. Calculate the least common multiple of x and p.
234
Let c(v) = -445*v**2 - 4*v - 1. Let p be c(-2). Let u = -19475/11 - p. Calculate the common denominator of u and -27/5.
55
Let g = 10 + 2. Find the common denominator of -9/4 and g/78 + (-1)/208*-1866.
8
What is the common denominator of (-6)/(-12)*4 + 40/(-3) and 126/(-80) + (-12)/15?
24
Suppose -4*c = -2*t, 2*t = 5*c - 3 - 1. Let j be (-6)/((-93)/45 + 2). Suppose 4*m - 9*m + j = 0. What is the least common multiple of m and t?
72
Let d be 4/(-18) + 415448/36. Let t = d + -138355/12. What is the common denominator of t and -71/10?
60
Let f = 25480 - 2293171/90. Calculate the common denominator of 8/25 and f.
450
Let q(h) = h**3 - 19*h**2 + 34*h + 2. Let o be q(17). Let b(w) = 6*w**2 + 5*w - 2. What is the least common multiple of 12 and b(o)?
96
Let k(b) = -3*b - 13. Let s be k(-7). Suppose -24 = 6*t - s*t. What is the lowest common multiple of t and 20?
60
Calculate the common denominator of (-847)/660 - 30/100 and 109/42.
84
Let c be ((-94203)/(-1395))/9 - (-3)/(-5). Let j = -4509/496 + c. What is the common denominator of -123/40 and j?
80
Let v(l) = 2*l**3 + l**2 - 3*l + 2. Let o be v(1). What is the smallest common multiple of -3 - o/((-4)/42) and 6?
18
Let u = -1684 + 6705/4. Let f be (1/4)/(1/694). Let p = -130 + f. What is the common denominator of p and u?
4
Let a(u) = u**3 - 5*u**2 - 6*u + 2. Let z be a(6). Suppose 5*w - 74 = -2*t, -5*w - 6*t + 78 = -z*t. Calculate the lowest common multiple of 12 and w.
84
Let y = -27 - -24. Calculate the common denominator of 2*244/(-16) + y and 19/22.
22
Let j be (-1488)/(-10) - 52/65. Calculate the least common multiple of j/(-962) + ((-108)/13)/(-2) and 4.
4
Let k = 127 - 1152. Find the common denominator of -47/22 and (2/(-40))/(((-80)/k)/(-8)).
88
Let d(r) = -r**3 - 2*r**2 - 3. Let w be d(-2). Let c = w + -97. What is the common denominator of -67/6 and ((-666)/c)/((-72)/(-60))?
60
Suppose 0 = -d - 5, -5*d - 8 + 43 = 5*i. Let h(a) = a**3 + 3*a**2 - 3*a + 14. Calculate the smallest common multiple of i and h(-4).
60
Let q(t) = -t**2 - t + 22. Let o be q(-5). Suppose 2*v + 30 = 4*c, -6*v + o*v + 21 = c. Calculate the least common multiple of c and 135.
135
What is the common denominator of 41/52 and 6/(-72)*-15*1188/(-390)?
52
Calculate the common denominator of -74/207 and (-1)/(78/8 - 9).
207
Let r(j) = -2*j + 84. What is the smallest common multiple of 2 + 3/(-3 - (-86)/28) and r(28)?
308
Suppose -6*t + 0*t = -36. Suppose t*v + 76 = 2*v. Let b = v - -37. Calculate the least common multiple of 2 and b.
18
Let r = 64443/8 - 8066. What is the common denominator of 91/2 and r?
8
Suppose 4*l - 14 = 3*l. Suppose f + 5*h - l = 8*h, f + h = 14. Let u = 5 - -7. Calculate the lowest common multiple of u and f.
84
Let d(v) = v**3 + 16*v**2 + 16*v + 58. Let o be d(-7). Let j = 2033674/5285 + -6/5285. Let x = j - o. What is the common denominator of 71/2 and x?
10
Let s be (-4)/(-290) + (14 - 14). Let d = 7989/1015 - s. Let y(l) = l**2 - 8*l + 2. Find the common denominator of d and y(12).
7
What is the common denominator of 560/(-24)*(-12)/176 and -19/110?
110
Suppose -11*y = -1204 + 148. Calculate the lowest common multiple of y and 16.
96
Let f(m) = 6*m**2 + m. Let x be f(-1). Suppose 6*k - 4*k + 8 = g, 7 = -g + x*k. Suppose 0 = -4*i - 2 + g. What is the least common multiple of i and 8?
8
Calculate the least common multiple of 28 and -6 - (1 - 5 - 39 - -2).
140
Suppose 0 = -2*r - j + 47 + 10, 3*r - 78 = j. Calculate the lowest common multiple of r and 261.
783
Let d = 3071 + -58329/19. Let t = d - -1343/114. What is the common denominator of t and 109/24?
24
Let h = 38633/40 - 1933/2. What is the common denominator of h and -69/80?
80
Suppose -j + 3*j + 2*k - 12 = 0, -k - 2 = -3*j. Let d be j + -13 - (3 + -2). Let c(l) = l + 23. What is the smallest common multiple of 4 and c(d)?
44
Suppose -4*s + 8 = -0*s, -3*q = -5*s - 908. What is the smallest common multiple of 4 and q?
612
Suppose 0 = -13*l + 8*l - 10. Find the common denominator of 456/(-96)*(-5)/l and -17.
8
Let s be 6/(-21) - 12/7. Calculate the common denominator of 121/18 - s/(-3) and (-2)/(-39)*(-31527)/(-452).
234
Suppose 27*y - 30*y = -6189. Let m = y + -12319/6. What is the common denominator of -87/8 and m?
24
Let p be 3*((-3444)/(-18))/(-7). Let j = 181/3 + p. Find the common denominator of 68/57 and j.
57
Let u(z) = -10*z + 136. Let p be u(0). What is the common denominator of 62/(-36) + (p/36 - 4) and -52/33?
198
Let d = 6192 - 86783/14. Find the common denominator of d and -99/14.
14
Suppose 2*q - 3*j = -0*q + 11, -5*j = -3*q + 18. Let r(u) = 3*u - 14*u + 9*u - q + u**2. Calculate the least common multiple of 9 and r(-2).
63
Let w(t) = -t**2 + 7*t + 10. Let c(j) = -9*j - 38. Let d(k) = 3*k + 13. Let l(v) = 6*c(v) + 17*d(v). Calculate the lowest common multiple of w(6) and l(-5).
16
Let n be ((-9)/(-6))/(15/40). Let g be (-4)/8 - (-2)/n. Calculate the common denominator of (-63)/33 + -2 - g and 10/7.
77
Let b = -250/19 - -218/19. Let w be 69*3*4/18. Find the common denominator of b and (w/(-6))/(6/27).
38
Let j(v) = -v**3 - 20*v**2 - 17*v + 44. Let i = -19 + 0. Calculate the smallest common multiple of j(i) and 8.
24
Find the common denominator of 19/11 and 11*(-2)/24 - 112/224.
132
Let p = 1336 - 102845/77. Find the common denominator of -14/55 and p.
385
Suppose 42 = -3*t - 2*s + s, -5*t - 70 = 5*s. Let y = t - -18. What is the smallest common multiple of y and 8?
8
Let g(d) = d**3 + 8*d**2 + 6*d - 8. Let u be g(-7). Let y = 8 - 1. What is the smallest common multiple of 2/(-4)*u*22 and y?
77
Let i be (-72)/(-273) + 1*(-6)/21. Let s = 1151/1456 - i. What is the common denominator of -23/6 and s?
48
Let n(j) = -4*j + 20. Let d be n(6). What is the common denominator of 31/9 and (-2118)/(-2106) - d/(-26)?
27
Suppose 3*k = 4*y + 308, -k + 3*k - 2*y - 202 = 0. What is the smallest common multiple of 110 and k?
5280
What is the common denominator of -91/4 and 9 + -7 - (-131)/378*-3?
252
Let n be (57 - -1)/((-1)/5). Find the common denominator of (6 - 220/36)*n/4 and 1/38.
342
Calculate the least common multiple of ((-984)/205)/(17/(-15) + 1) and 54.
108
Let l(x) = -2*x**2 - 5*x - 2. Let y be l(10). Calculate the common denominator of 17/32 and 354/4*7/y.
96
Let i = -38 + 87. Find the common denominator of 103/18 and i/(-2)*(-4)/(-192)*3.
288
Suppose -15*m + 8 = -13*m. Calculate the lowest common multiple of m and 2/12 + 287/42.
28
Let y = -11 + 13. Let f(h) = -y*h - 10 + 1 + 1 - 6. What is the smallest common multiple of f(-10) and 22?
66
What is the common denominator of -19/14 and 12/(-28) + (-45)/(-714)?
238
Let a(o) = -2*o**2 - 12*o + 8. Let u be a(-7). Calculate the least common multiple of 23 and 2 + 1 + 3/u*-12.
207
Let o = 15 + -11. Suppose o = 2*n - 2, -5*p + 82 = 4*n. What is the lowest common multiple of p and 2?
14
Let f be ((-11)/(-2))/((-8)/6384). Let t = 52597/12 + f. Find the common denominator of 158/20*1/(-2) and t.
60
Suppose 5*t + 3*l = -2 + 35, t - 3*l - 3 = 0. Let f(s) = s**3 - 4*s**2 - 11*s + 6. What is the lowest common multiple of f(t) and 52?