. Suppose 0 = 59*f - 64*f + 60. Calculate the least common multiple of f and i.
36
Suppose -2*g - 7*l = -3*l - 12, -5*l = -5. Let z = -32 + 55. Suppose 0*x + 4*w = x - 8, 5*x - 3*w = z. What is the lowest common multiple of g and x?
4
Calculate the common denominator of (5 + 588/24)*2/84 and 93/140.
420
Let z be (-13713)/12 + (-6)/(-4). Let b = 1119 + z. Find the common denominator of b and 61/4.
4
Let z = 69 + -49. Let m = 28 - z. Calculate the smallest common multiple of m and (3/(-9))/((-4)/336).
56
Let y = 116068/3 - 39319. Let p = 606 + y. Calculate the common denominator of (-1 - -2)/((-10)/(-58)) and p.
15
Let i be 109*-3*(-45)/60. Let p = i - 269. What is the common denominator of 17/2 and p?
4
Suppose -4*c = j - 163 + 1, -5*c - 3*j = -206. Let g = 24 - c. What is the common denominator of -149/12 and (-44)/99*30/g?
12
Let k = -59043/34 - -1737. What is the common denominator of 31/16 and k?
272
Let k = -4098/1865 + -1/373. Let t be ((-46)/2 + (-1)/1)*-1. What is the common denominator of k and ((-9)/t*-110)/6?
40
Let a = -2/41 - 64/369. Let d = 6929 - 228695/33. Calculate the common denominator of a and d.
99
Let r(m) = m - 21. Let v(c) = 4. Let d(a) = -4*r(a) - 22*v(a). Let b = -1205 + 1221. Calculate the least common multiple of d(-3) and b.
16
Let v = 20133/14 + -1439. Find the common denominator of -109/242 and v.
1694
Let j(d) = -d**3 - 8*d**2 - 8*d - 3. Let c be j(-7). Find the common denominator of 311/(-60) - c/6 and 103/22.
220
Let w = -7/326 + 15185/8802. Find the common denominator of -139/402 and w.
3618
Let j = 51 - 7. Let c(g) = -g**3 - 8*g**2 - 41*g - 222. Calculate the least common multiple of c(-7) and j.
176
Suppose 0 = 5*c + 2*n - 5, -4*c + 4*n = 3*n - 17. Suppose 0 = c*l - 12 - 0. What is the common denominator of 103/6 and l/18 + 562/36?
6
Let x = -23/9 + 103/18. Find the common denominator of x and -11/72.
72
Let h(s) = -2*s**2 - 7*s - 4. Let u be h(-3). Let w be u/(-5) - 116/(-20). Suppose -4*x = w - 10. What is the least common multiple of 3 and x?
3
Let j = -35/57 + 1411/627. Let k = 2372422 - 23701039/10. Let s = k - 2313. What is the common denominator of j and s?
110
Let v(s) = -s**2 + 27*s - 15. Let w be v(12). Let d = w - 164. What is the lowest common multiple of d and 32?
32
Calculate the smallest common multiple of (-6084)/(-819)*(-42)/(-4) and 273.
546
Calculate the common denominator of 6/(-333)*(1 - -199) - -3 and 131/30.
1110
Find the common denominator of (-190)/2464 + 0 + 24/42 and -11/160.
1760
Let y = -1014 + 1068. What is the smallest common multiple of 126 and y?
378
Suppose -2*w = -4*j + 10, -5*w + 45 - 14 = 4*j. Let p = 4 + 1. What is the least common multiple of p and j?
20
Suppose 5*u = 5*n + 25, 0 = 4*n + 4*u - 5*u + 8. Find the common denominator of 87/16 and 162*(n - (-180)/176).
176
Suppose 255 = 4*a + 5*l, -3*a = -5*a + 2*l + 114. Suppose 26*g - 20*g = a. Calculate the smallest common multiple of 3 and g.
30
Suppose -5*u - 2*j + 1273 = 0, 0 = -2*j - 1 - 1. Calculate the lowest common multiple of u and 9.
765
Let r be (-4 - 3 - -4) + -2. Let x be 1 + r/25*-5. Calculate the lowest common multiple of 3 + (x - (0 - -1)) and 4.
4
Suppose 10 = 9*x + 1. Calculate the least common multiple of x and 4.
4
Suppose j - 5 + 3 = 0. Calculate the common denominator of j - (3207/(-330) - (-2)/(-11)) and -87/22.
110
Suppose 28*n - 36 = 26*n. Calculate the smallest common multiple of 1416 and n.
4248
Let p = 119 + -99. What is the smallest common multiple of 85 and p?
340
Let l = -39 - -28. Let n be 0/(-4)*(5 - 0)/(-5). Let p = n - l. What is the lowest common multiple of p and 10?
110
Let k = -2320 - -2530. Calculate the smallest common multiple of 12 and k.
420
Suppose 0*k + 4*k = 24. Suppose -k = 2*x - 30. What is the least common multiple of 20/25*(-35)/(-2) and x?
84
Let i be 10/35 + (-3144)/28. Let b = -52 - i. Suppose 4*d - 5*n - b = 0, 4*d + 2*n = 62 + 26. What is the least common multiple of 18 and d?
180
Suppose 330 = -2*w - w. Let a = w - -78. Let g = -22 - a. Calculate the least common multiple of g and 16.
80
Let r = -116 + 994/9. Let a = -2917/124 - -24/31. What is the common denominator of a and r?
36
Suppose 3*j = -42*b + 38*b + 904, -3*j + 1130 = 5*b. What is the smallest common multiple of b and 18?
2034
Let s be 84/(-64)*(-186)/(-9). Let x = 136354973/88 + -1549520. Let a = s - x. Find the common denominator of a and 47/10.
110
Calculate the common denominator of -69/16 and (-618)/(-20)*(-3)/9.
80
Let q be (-933925953)/126 - (-2 - -2). Let p = q - -7410779. Let g = 3971/3 + p. What is the common denominator of 37/40 and g?
280
Let m = -7 - -12. Suppose 4*l - l + 10 = 5*p, 5*l = 4*p + 5. Suppose 5*f - b = 16, 0 = -12*f + 11*f + 2*b + l. What is the lowest common multiple of m and f?
15
Suppose 5*a - 5*d = -25, 5*a - d + 28 = -5. Let u be 2/7 - 103/a. Suppose -4*t + 17 = -3, u = p + t. Calculate the least common multiple of p and 2.
10
Let l(r) be the third derivative of 1463*r**6/120 - r**3/3 + 5*r**2. Let k be l(2). Let j = 210773/18 - k. What is the common denominator of j and 13/6?
18
Let k(f) = f**3 - f**2 - f - 94. Let r be k(0). What is the least common multiple of 24 and (4/(-3))/(3 - r/(-30))?
120
Calculate the common denominator of (2 - (-1)/(15/(-357)))/(-4) and -93/16.
80
Suppose 3*h + 0*h - 33 = -3*u, h - 14 = -4*u. Calculate the least common multiple of h and 29.
290
Let n be 14/(-2*4/(-4)). Let q = -2 + n. Suppose s = 5 + q. What is the smallest common multiple of 8 and s?
40
Let t be 309673/(-41844) - 16/88. Let k be (6/55)/((-1268)/(-10)). Let w = k - t. Calculate the common denominator of w and -31/12.
12
Let h = 20 + -15. Suppose 7*i + 29 = 2*j + 4*i, -4*j + 53 = -h*i. What is the lowest common multiple of 4 and j?
28
Let l be 195/18*10257/23. Let u = -4831 + l. What is the common denominator of u and -51/14?
322
Suppose -3*u - u = -16. Let l = -112 + 161. Let g = l + -27. What is the least common multiple of g and u?
44
Let l = 74 + -74. Find the common denominator of (l + 39)*(-15)/75 and -41/11.
55
Suppose -4*c = -90 + 26. Calculate the common denominator of 97/16 and 1/c*(21 + (-12)/3).
16
Let t(u) = 24*u**3 + 2*u**2 - 3*u + 2. Let j be t(1). Let v = j - 37. Find the common denominator of 1167/396 + 9/v and -59/2.
66
Let j = -604 + 712. Calculate the smallest common multiple of 36 and j.
108
Let v = 432739/20364 - 1/5091. Let z = -1/33 + -25/264. What is the common denominator of v and z?
8
Suppose 0 = -10*l + 5 - 75. Let g = 3 - l. Suppose -2*q + 220 = 3*q. Calculate the least common multiple of q and g.
220
Suppose 3*i - 5 = -5*d + 41, 3*d + 42 = 4*i. Let g(z) = -z**3 - 10*z**2 - 9*z + 40. Calculate the least common multiple of g(-9) and i.
120
Let y be 4 + (-20)/5 + 15. Let q be (-9)/y*1556/552. Let i = q + -5/46. What is the common denominator of -41/6 and i?
30
Let c(g) = -36*g - 1204. Let r = -66 - -100. Calculate the least common multiple of r and c(-34).
340
Let o be 4/16*(-638159)/53999. Let n = 1/19636 - o. Calculate the common denominator of n and 45/7.
154
Suppose -2*c + 3*a + 0*a + 14 = 0, 4*c - 44 = -2*a. Let b(d) = d**3 + 13*d**2 + 8*d - 12. What is the smallest common multiple of b(-12) and c?
180
Calculate the common denominator of 14/(37/(-5) + 1) and (-13)/5*(2175/(-220) - -10).
176
Let r = -554/11 + 46. Let d be (-18 - -2) + (-2 - -6 - 3). Find the common denominator of -1*8*d/110 and r.
11
Suppose -2*b - 4 - 2 = 0. Calculate the common denominator of (-1 - 37/12) + b and -109/22.
132
Let q = -29 + 14. Let u be 12/9 - 10/q. Calculate the lowest common multiple of u*(-4 + 3) - -4 and 16.
16
Let c(i) = i**3 - 7*i**2 + 1. Let x be c(7). What is the common denominator of ((-16)/(-18)*7)/1 and (-5)/((-105)/(-54))*x?
63
Suppose -120*m + 1170 = -114*m. What is the least common multiple of 7 and m?
1365
Suppose 1 = -3*q + 19. Let h = 148/15 - 37/10. Find the common denominator of h and -2 + 31/q - 2.
6
Let w(x) = 7*x - 3. Let h be w(2). Let p = 33 - h. Let g = 10 + -2. What is the least common multiple of g and p?
88
Let g = 3 + 0. Suppose g*h + 8 = 4*x, h + x - 8 = -3*x. Let q = 2 - h. What is the lowest common multiple of q and 6?
6
Let i(h) = h**3 - 13*h**2 + 12*h + 28. Let g be i(12). Find the common denominator of -61/28 and 139*(-4)/g*(-7)