23. Calculate the smallest common multiple of z(-7) and f.
574
Let y be (266/692)/((-2)/(-43)). Let q = y + -5/346. What is the common denominator of -44 + 34 + (-10175)/(-750) and q?
60
Let c(l) = 2*l + 100. Let g be c(10). Suppose -g*p + 122*p - 12 = 0. Calculate the smallest common multiple of (1 - 1/3)*15 and p.
30
Suppose -2*w = g - 3*g - 50, -3*g + 25 = 2*w. Suppose v - 4 = 0, k - v - v + w = 0. What is the least common multiple of (4/k)/((-4)/12) and 5?
5
Let f = -77 - -79. Suppose 67 = -y - 2*m, 262 = y - 5*y - f*m. Find the common denominator of -29/11 and (y/(-8))/(0 + -1).
88
Find the common denominator of 417/280*(26 + (-1444)/57) and 59/56.
280
Let a be 4*(-20 + -1) + 7. Let p be (-816)/(-8) - 1*3. Let c = p + a. Calculate the least common multiple of 20 and c.
220
Let o(h) be the third derivative of 49*h**6/60 + h**5/30 + h**4/12 - h**3/3 + 2*h**2 + 6*h. Calculate the least common multiple of 12 and o(1).
300
Suppose o = 6*o + 2*a + 319, 0 = 5*o + 5*a + 325. Suppose 4 = -2*i + 3*i. What is the smallest common multiple of 18/o*21*-1 and i?
12
What is the common denominator of (-1 - -57)*((-10920)/(-2695))/(-52) and -86/2751?
30261
Let t be (-2 - (-15)/6)*(-3 + 13). Suppose -t*q - 26*q = -837. What is the lowest common multiple of 27 and q?
27
Let z = -177/29 + 4045/696. Find the common denominator of 85/1881 and z.
15048
Let j = -4463/3 - -17941/12. Find the common denominator of 55/618 and j.
1236
Let f = -21 - -30. Let g be 1/((-25)/(-2))*-10*-5. Suppose i = -2*m + 7*m - 88, -4*m = -g*i - 80. What is the lowest common multiple of f and m?
153
Let n(u) = -u**3 + 26*u**2 + 118*u - 1. Let i = -4 + 7. Suppose 3*b + 11 = -g - b, -i*g = -4*b - 31. Calculate the smallest common multiple of g and n(-4).
35
Let u = -47 - -52. Suppose -10 = -2*c, -m + u*c - 3*c = -20. What is the least common multiple of 4/(-6)*(-45)/m*3 and 18?
18
Let p(s) = s + 16. Let w be p(0). Calculate the common denominator of -3*10/630*(181 + -7) and ((-3)/w)/(4/(-184)).
56
What is the common denominator of 93/20 and -9 + 2226/308 - -1?
220
What is the common denominator of (1648/928 - 4)*8/12 and -103/580?
580
Let m(q) = 3*q + 36. Let g be m(9). Calculate the common denominator of (-963)/g*(-2)/8 and -119/10.
140
Let v = 732 + -1194. Let p = v - -466. What is the lowest common multiple of p and 762?
1524
Suppose -62*z + 141*z = 70*z + 108. Calculate the least common multiple of 412 and z.
1236
Let k = 86 - 115. Let s = k + 34. Find the common denominator of -19/21 and s.
21
Let l(w) = 8*w + 10. Suppose -69 = 3*o - 0*o. Let c = o - -39. What is the smallest common multiple of l(0) and c?
80
Suppose -196*z + 96 = -184*z. Calculate the smallest common multiple of z and 1174.
4696
Let z = 17/24 - 19/21. What is the common denominator of z and -149/378?
1512
Suppose -4*l - 4*l - 96 = 0. What is the least common multiple of (-4)/(l/9) - (-2 + 4) and 11?
11
Suppose -3*t + 41*t - 54340 = 0. What is the least common multiple of t and 440?
5720
Let s be 605/22*(-5)/((-75)/1956). Let f = s + -28639/8. Calculate the common denominator of 21/10 and f.
40
Suppose -3*k + 29 = -43. Let q be ((3 - (-5 + 3)) + -4)*2. What is the smallest common multiple of k and 0/q - (12 - 16)?
24
Suppose n - d - 228 = -63, 4*d = -2*n + 330. What is the smallest common multiple of 45 and n?
495
Let d be ((-10)/4)/(2/(-4)). Let u(y) be the first derivative of y**3/3 - 3*y**2 + 6*y - 1. Calculate the smallest common multiple of 7 and u(d).
7
Let q = -993427/30 - -33111. Find the common denominator of (3/(-8))/((-3)/74) and q.
60
Let p(w) = w - 4. Let u be p(4). Calculate the common denominator of (91/(-3276))/((-1)/159) and (u + (-2)/32)*-142.
24
What is the common denominator of (1 + (-25)/26)/(1584/85008) and (21/(-18) - -1)/(16/604)?
312
Let l = -2/319881 - 17593049/64935843. Let p = l + -9143/4466. Find the common denominator of ((-63)/60 + -3)*2 and p.
110
Let b = -4638 - -4910. Calculate the smallest common multiple of 42 and b.
5712
Let h be 8/(-44) + (1017/(-33) - -4). Calculate the common denominator of (5 + h/6)*185/(-10) and -7/128.
128
Let l = -1556/5 + 41917/135. Calculate the common denominator of l and (24/(-160))/(2/(-144)).
135
Suppose -4*t + 2*z = -2*z + 488, -259 = 2*t + 3*z. Let c = -63/10 + 64/5. What is the common denominator of c and t/(-60)*6/8?
16
Suppose -6*q + 256 = -q - 2*m, 12 = -4*m. Calculate the common denominator of 37/40 and q/4*(7 - (-116)/(-16)).
40
Suppose 2*f = -8*f + 10. Let x be (62/(0 + 2))/f. Suppose -13*s + 135 = x. Calculate the smallest common multiple of 40 and s.
40
Let d = 85021/15 - 5669. What is the common denominator of 61/60 and d?
60
What is the lowest common multiple of ((-271)/(-542))/((-1)/8*-1) and 122?
244
Calculate the common denominator of (512/108)/((-8)/(-12)) and 1*(-3)/(189/213).
63
Let i = -1589 + 1634. What is the least common multiple of 145 and i?
1305
Let p = -3 - -6. Let z be 12/8 - p/(-2). Suppose z*v - 26 = -5*u, -2*u + 21 = 5*v - 35. Calculate the lowest common multiple of v and 8.
24
Let l(r) = 374*r - 1924. Calculate the smallest common multiple of 40 and l(6).
320
Let a = 4343 - 4287. What is the smallest common multiple of a and 632?
4424
Let f(b) = -120*b**3 + 3*b**2 + b. Let c be f(-1). Let v = 134 - c. Calculate the least common multiple of v and 2.
12
Let o(b) = -60*b - 22. Let k be o(11). What is the common denominator of 393/k - 16/88 and -71/8?
248
Let f = -81034493 - -119931038171/1480. Let a = -1/1480 + f. Find the common denominator of a and 287/198 + 32/(-144).
44
What is the common denominator of (32/110)/(11/10) and (118/5)/((-393)/30 + 294/(-2940))?
363
Let c be (-16)/14*(3 + -17). Calculate the common denominator of -27/10 and 6/c*(-34)/(-4).
80
Let m = 17 + -7. Suppose -h - 4 = -m. Let q = 15327 + -15313. What is the smallest common multiple of q and h?
42
Suppose 2*m + 2*b = b + 8, 3*m - 23 = 4*b. Suppose 35 = -4*a + 3*f, -2*f + 3*f - 30 = m*a. Let x = a + 11. Calculate the least common multiple of x and 3.
6
Let h(f) = -284*f + 2030. Calculate the least common multiple of 180 and h(7).
1260
Let b = -34/4445 + -229193/835660. Calculate the common denominator of b and -79/282.
564
Let w = 62203/12 + -5172. Let x = -882/5 - -82863/470. Calculate the common denominator of x and w.
564
Suppose 37*c = 39*c - 224. Suppose -116 = -z + j, z - j - c = -2*j. What is the common denominator of (2 + z/(-44))/(15/45) and -23/10?
110
Let v be (-17 - 534/(-18))*6/4. Suppose -58*r + 1482 = -v*r. Suppose -w - 4*w - 3*o = -58, -5*w - o + 66 = 0. What is the smallest common multiple of r and w?
266
Let z = -18189 + 21258. Calculate the least common multiple of 186 and z.
6138
Let v be 66 - (-6 + -3 + 5). Suppose 0 = 4*r + 5*d - 23, -r = 3*d - 0*d + 3. What is the lowest common multiple of ((-44)/(-14))/(5/v) and r?
132
Let u be 12 + 4 + (-16)/2. Suppose -u*d + 32 = -7*d. Suppose 0*w + 4*w = d. What is the lowest common multiple of 8 and w?
8
Let d = -706/955 + 4529/22920. Calculate the common denominator of d and 358/(-252) - 1/(-3).
504
Calculate the least common multiple of (13 + 3 + -2)/(-5*3/(-30)) and 36.
252
Let l = 57423064/661 - 86873. Let h = -56251/3966 + l. What is the common denominator of h and -47/62?
186
Suppose -z = -5*f - 663057, -4*z + f - 663069 = -5*z. Let o = -9286797/14 + z. Let b = o + 276. What is the common denominator of -67/110 and b?
770
Suppose -t - 84 = -3*r - 25, -2*t = 3*r - 53. Calculate the lowest common multiple of r and 1311.
1311
Let t be (11 - 14)/(5/(30/397701)). Let y = t - 2253463/3888632. What is the common denominator of y and 49/72?
792
Suppose -9*i = -3*v - 8*i + 2779, -3*v - 3*i + 2799 = 0. Calculate the smallest common multiple of v and 20.
4640
Let a = 38 + -73. What is the common denominator of -2*1 - (-2 + (-847)/84) and (-445)/(-4)*(-14)/a?
12
Let c(q) = -q - 8. Suppose 0 = 3*n - 11 + 32. Let j be c(n). What is the common denominator of 108/(-44) - (j - 3) and -49/11?
11
Let d = -2 + 4. Suppose 3*v = -12, d*v = s - 3*v - 92. What is the smallest common multiple of 44 and s?
792
Let q be (0/(2*(-4 - -3)))/2. Suppose q = 5*k - b - 3067, -2686 + 221 = -4*k - 3*b. Let s = k + -4819/8. Calculate the common denominator of s and 43/6.
24
Let w = -66/79 - -2135/948. Find the com