ple of z and b.
30
Let g be (-3)/(-48)*207238/(-3). Let y = 17291/4 + g. Calculate the common denominator of y and (-5187)/182*1/36.
24
Suppose -1520 + 693 = -12*p + 1093. What is the smallest common multiple of p and 120?
480
Let j(d) = 9*d - 42. Let k be j(7). Suppose 0 = 2*q + k*z - 19*z - 308, 600 = 4*q - 4*z. What is the lowest common multiple of 24 and q?
456
Suppose 4*g - u + 60 = 0, 5*u - 24 = 2*g + 6*u. Let c = -10 - -7. Find the common denominator of c - 49/g - (-50)/22 and -81/20.
220
Suppose 7*r - 12*r + 1080 = 19*r. What is the smallest common multiple of 103 and r?
4635
Suppose -2*o + 844 = y + 280, 0 = 3*y - 5*o - 1725. Calculate the least common multiple of y and 30.
570
Let r = 189433/24 - 7895. Find the common denominator of r and 17/40.
120
Let p = 49 + -40. Suppose 116*o - 119*o + p = 0. Suppose 0 = 4*v + 4*j - 31 - 33, 2*v - 4*j = 32. Calculate the least common multiple of v and o.
48
Let b = 1150/273 - -14/39. Find the common denominator of -9/673 and b.
4711
Let w(b) be the second derivative of b**3/6 + 13*b**2/2 - b. Let x = 9091 - 9094. Calculate the smallest common multiple of 3 and w(x).
30
Let j be (((-64)/12)/8)/(2/(-32709)). Let v = -130751/12 + j. Calculate the common denominator of v and 50/7.
84
Suppose 0*j - 15*j - 60 = 0. What is the least common multiple of 6 and 6/15 - (336/(-10) - j)?
30
Let f be 2 - ((-1)/(-1) + 0). Let z(m) = -8*m**2 + 652*m + 1708. What is the smallest common multiple of 3/f*16/4 and z(84)?
84
Suppose d = -2*d + 3, -d = -3*t + 23. Let x be 0 + 5 + (-15)/3. Suppose -5*s = -x*s + 5, 3*g + 4*s = 59. Calculate the least common multiple of g and t.
168
Let f = -5191 + 228485/44. Let i = 30195/7784 + -4/973. What is the common denominator of i and f?
88
Let f = -2150/7 + 43679/140. Find the common denominator of f and 4/48 - (-848)/(-64).
60
Let u(p) = 19*p**2 - 5*p + 9. Let h be u(-2). Let r = 209683/12 - 17463. Calculate the common denominator of 1*((-38)/h)/(16/98) and r.
60
Let l = 4330/11 - 178487/451. Let r be ((-3)/((-12)/(-2606)))/205. Let h = l + r. Calculate the common denominator of h and 22/5.
10
Suppose -4*l + 5*m + 137198 = 50992, l = -5*m + 21564. Let g = l + -258791/12. What is the common denominator of g and 139/54?
108
Let v = -444 - -333. Let a = v + 116. Suppose 8 = -2*g, 0*k - g = -k + 8. What is the least common multiple of k and a?
20
Suppose -5*o + o - 3*q = 160, -4*q = 0. What is the smallest common multiple of 55 and (o - -65)*(1 + 0)?
275
Let c(r) = r**3 - 5*r**2 + 5*r - 3. Suppose -38*t + 35*t = -9. Suppose t*g + 40 = 5*k, 6*g = -3*k + 5*g + 24. What is the least common multiple of k and c(4)?
8
Calculate the lowest common multiple of 240 and 20/(-3)*(525/100 - 18).
4080
Let i(d) = -31*d - 762. Calculate the least common multiple of i(-26) and 384.
4224
Let k = 44974 - 44962. Let d(c) = -c**3 + 3*c**2 + 7*c - 11. Let o(y) = -1. Let r(n) = d(n) - 6*o(n). Calculate the least common multiple of r(4) and k.
84
Suppose -16*t - 18 = -210. What is the least common multiple of 120 and t?
120
Find the common denominator of (-4)/3168*-6*74 and -24*((-8)/(-6) + 364/(-264)).
66
Let n = 1/612 + 1529/612. What is the common denominator of -15/914 and n?
914
Suppose 16*a + 0*a - 756 = -12*a. What is the lowest common multiple of 303 and a?
2727
Let j = 25083103/12 + -2088512. Let w = j + -1749. What is the common denominator of 83/6 and w?
12
Suppose -3*t = -4*y - 83, -4*y + 57 = 2*t - 7*y. Suppose 3*a - 1 = 4*s + t, 3*a = 5*s + 23. Calculate the smallest common multiple of a and (-2)/(2/20*-4).
30
Let a = 4444849/76 + -58486. Calculate the common denominator of 604/(-3)*5/40 and a.
228
Suppose 54*s - 4*r - 48 = 52*s, 4*r + 18 = -s. What is the lowest common multiple of s and 182?
910
Suppose 0 = 5*c + 2*a - 8383, -1 = -a + 3. Let t = c - 6651/4. Calculate the common denominator of t and 19/(209/66) - (-5)/(40/(-79)).
8
Suppose 4*v - 7 = -2*s + 23, 3*v - 5*s = 55. Let g = 272 + -279. Calculate the smallest common multiple of ((-75)/v + 4)*12/g and 22.
66
Suppose 3*q = 2*l - 17, -35 = 5*l + 2*q - 30. Find the common denominator of l + -2*63/2376 and 133/96.
1056
Let s be (-19 + 0)*20722/(-54). Let n = s - 7292. What is the common denominator of 1 + 7/((-378)/(-92)) and n?
27
Let z(h) = -21 + 16*h - 4*h**2 - h**2 - 2*h**2 + 8*h**2. Suppose 3*x + 57 = s, -2*s + 4*s - 60 = 3*x. Calculate the least common multiple of z(x) and 18.
90
Suppose 3*o = -3*z + 27, -13 = -z - 0*o - 3*o. Calculate the lowest common multiple of z/((-5 + 1)/(-12)) and 48.
336
Suppose 4909 = 562*n - 482 + 333. Suppose -2*j - 3*j = -90. Calculate the lowest common multiple of n and j.
18
Let k(l) = l**3 + 18*l**2 + 17*l + 4. Let m = -8 - -22. Suppose 0 = 7*p + 105 + m. Calculate the smallest common multiple of 24 and k(p).
24
Suppose o - 2*z = -10, o - 3*z + 10 = -3. What is the common denominator of (2996/(-80) - -37)/(12/70) and (134/o)/(4/(-2))?
8
Let c = 39 + -142. Let n = 143 + c. Let o(w) = w**3 - 9*w**2 + w + 9. What is the smallest common multiple of n and o(9)?
360
Let v = 851 - 257. Suppose -45*s + v = -36*s. What is the lowest common multiple of 36 and s?
396
Let y(u) = -u**2 + 84*u - 1355. What is the lowest common multiple of y(25) and 624?
3120
Calculate the lowest common multiple of 252 and (20 - 11)/(1/3*54/42).
252
Let w = 1914375/434 - 4411. What is the common denominator of -50/11 and w?
4774
Calculate the common denominator of (-14)/(-2) - (10 + (-558)/132) and 161/6150.
67650
Let z = 138593/46680 - -7/1167. Calculate the common denominator of 71/3344 and z.
16720
Let m be (-28)/(-42)*2/52*15978. Let r = m + -427653/1040. Calculate the common denominator of r and 25/48.
240
Let b be ((-807261)/9 + -1)*3/24. Let z = 11223 + b. What is the common denominator of z and 24/(-20) + 8/16?
60
Let i = -5297 + 21163/4. Find the common denominator of 22/13 and i.
52
Let u = -10552949/254520 + 12586/303. Calculate the common denominator of -79/1575 and u.
12600
Suppose -4*y = j - 180 + 457, -2*j + 3*y = 576. Let d = j + 325. Calculate the smallest common multiple of d and 20.
40
Suppose -4*q = 0, -3 = 5*p - 5*q + 7. Let h be p/(-14) + (-843412)/168. Let r = -5009 - h. Find the common denominator of r and -38/21.
42
What is the smallest common multiple of (5/(30/32))/(-15*17/(-1530)) and 93?
2976
Let b(d) = -36 + 3*d**2 + 6*d + 24 + 16. Let c(o) = -8*o**2 - 19*o - 12. Let q(u) = 11*b(u) + 4*c(u). What is the least common multiple of q(12) and 14?
140
Let g(y) be the first derivative of -3*y**2 + 14*y - 98. Suppose b + b = 22. What is the smallest common multiple of g(-2) and b?
286
Let n = 11 - 16. Let s be n/(-2)*(-8263)/10. Let f = s - -2049. Find the common denominator of f and -76/9.
36
Let i = -66977/60 - -5601/5. What is the common denominator of i and -14/2907?
11628
Let o(r) = -3*r - 2. Let x be o(-2). Let w(f) = 4*f**2 - 2*f - 4. Let d be w(-2). Suppose -x*b + 8*b = d. Calculate the smallest common multiple of 12 and b.
12
Let b(c) = -c**2 - 291*c - 3322. Calculate the least common multiple of b(-12) and 280.
3640
Let l = 88 + -82. Let d = -10577/4 + 2663. What is the common denominator of d and (((-412)/(-14))/2)/(l/7)?
12
Let q = -5/417 - 16997/8340. Suppose -4*r + 6 + 2 = 0. Find the common denominator of (-177)/24 + (-2 - r) and q.
40
Let a(q) = -11*q**3 - 2*q**2 + 4*q + 3. Suppose -8*l + 5*l + 21 = 0. What is the least common multiple of l and a(-2)?
525
Let z = 42 - 21. Suppose 4*m = -3*p + 2, 17*p = 22*p + 30. What is the least common multiple of m and (-1)/(-2 - (-39)/z)?
35
Let a(z) = -8*z**2 - 94*z + 28. Let x be a(-12). Suppose -2*r + 0*j = j - 314, -622 = -x*r - 5*j. What is the least common multiple of r and 11?
1738
Let p(u) = 10*u**2 - 236*u - 91. Calculate the least common multiple of p(24) and 10.
10
What is the smallest common multiple of (37 - 26) + 211 + 6 and 342?
684
What is the common denominator of -187/450 and -10 + 1552/648 - -8?
4050
What is the least common multiple of ((-696)/(-9)*1)/(464/696) and 87?
348
Let s(t) = -t**3 + 12*t**2 - 4*t - 7. Let h(u) = 2*u - 2*u + u**2 - u - 2*u**2. Let y(o) = 3*h(o) - s(o). Calculate the least common multiple of y(15) and 74.
814
What is the smallest common multiple of 781 and 564 + 18/81*18?
6248
Let y be ((-32)/(-20))/4 + (-214