
72
Let m(c) = -9*c - 9. Suppose 12*s - 10*s + 2*f - 54 = 0, -3*f + 46 = 2*s. What is the least common multiple of s and m(-6)?
315
Let l(u) = u**2 - 6*u - 55. Suppose 7*z = 300 + 120. Calculate the least common multiple of l(-8) and z.
1140
Let z(d) = 2*d**2 + 23*d + 2. Suppose 0 = -r + 5*p + 75 - 64, 5*p = -5*r - 95. What is the smallest common multiple of z(r) and 36?
72
Suppose 29*d + 68 = 31*d. Let f = -12 + d. What is the lowest common multiple of (33/f)/((-6)/(-8)) - -9 and 11?
11
Let m = 251 + -185. Calculate the least common multiple of 297 and m.
594
Let p = 3695 - 2217. Let c = -432 + p. What is the least common multiple of 9 and c?
9414
Let k be (-3)/(39/(-527)) + 0. Let s = 2478855 - 386696603/156. Let c = s - k. What is the common denominator of c and 23/39?
156
Let l(c) = 11*c**2 - 33*c - 117. Calculate the least common multiple of l(-3) and 54.
162
Let o = -11706 + 11738. Calculate the least common multiple of 3032 and o.
12128
Suppose -9*w = 7*w + 1584. Calculate the lowest common multiple of ((-4)/(-10))/(w/50 - -2) and 4.
20
Suppose -628*v = -627*v - 38. Suppose -5*i = 3*y - 25 - v, 84 = 3*y - 2*i. What is the lowest common multiple of y and 7?
182
Let y(r) = -r**2 + 104*r - 475. What is the smallest common multiple of 2588 and y(5)?
12940
Let v = 9420 + -75259/8. Calculate the common denominator of v and 59/273.
2184
Let b(d) = 4*d**3 - 2*d**2 + 2*d + 1. Let q be b(3). Suppose 4*i - 35 = q. Let h(p) = 25*p - 1898. What is the smallest common multiple of i and h(77)?
297
Let t be (60/5)/(-6) + 7538/(-68). Let c = -113 - t. Let s = 55677/14608 + 1/913. What is the common denominator of s and c?
272
Let c = -4355 + 26123/6. Calculate the common denominator of 69/2710 and c.
8130
Suppose -825 = -3*l + 42. Let p be (-19 - -40)*(-4)/(-3). Find the common denominator of 8/p - l/154 and -25/12.
132
Let i = -80192/5 - -33439684/2085. What is the common denominator of i and -19/11?
4587
Calculate the common denominator of 61/3042 and 98615/(-334620) + 4/16.
3042
Let j = 17/16 - -37/48. Let k(i) = -28*i**2 + 4*i + 2. Let s be k(-2). What is the common denominator of 2 - s*1/4 and j?
6
Let a(w) = 2*w**2 + 2*w - 1. Let q be a(-2). Suppose 0*k - q*k + 4*f = -40, 0 = -k - 2*f. What is the smallest common multiple of k and (-8)/12*-3 + -1?
8
Suppose 5*j - 3*j = -3*k - 82, 4*k + 116 = 4*j. Let u = k + 8. Calculate the common denominator of 9/14 and (-8)/u + (-149)/(-90).
126
What is the common denominator of (-588)/264 + -1*(2 - 3) and (260/(-300))/((-3)/(-5))?
198
Calculate the smallest common multiple of 5 and 40/6*((-18120)/(-150) + 7).
4260
Let o = -48984072 - -1371407621/28. Let y = o + 5229. Find the common denominator of 43/20 and y.
140
Calculate the smallest common multiple of 23 and (42/(-12)*(-16)/(-28))/(2/(-11)).
253
Let k be 20*(-1)/(-5)*5/2. Suppose k = -5*z + 10*z. What is the least common multiple of (6/(-9))/(6/(-117)) and z?
26
Suppose 7 = j + 2*u, -3*j - 28*u = -30*u - 13. Suppose c - 5*a = 21, j*c - c - 105 = -a. Let f = -4 - -12. Calculate the lowest common multiple of f and c.
104
Find the common denominator of (1/((-35)/73))/((-138)/(-115)) + 1 and -53/240.
1680
Let d = 12724 - 2442991/192. Find the common denominator of -58/27 and d.
1728
Suppose -q - w + 11 = 4*w, -q - 4*w + 13 = 0. Suppose -3*n - q = -6. Calculate the common denominator of n/(-10) + (-1)/1*-2 and 41/224.
224
Suppose 0 = 2*s - 131 + 143, 0 = 3*f - 4*s - 6408. What is the lowest common multiple of f and 342?
19152
Let m = -391902/17 - -1254088423/54400. What is the common denominator of -29/4 and m?
3200
Let o be 9/(2 - (-66)/(-24)). Let b = 3961/2112 + -11/192. Find the common denominator of (-143)/o - 6/(-24) and b.
66
Suppose a = 5, 3*o - 4*a - 152 = -16. Let b = -91 - -223. Calculate the smallest common multiple of b and o.
1716
Let b(y) = y**3 - 4*y**2 + 2*y + 6. Let l be (0 - 1)/(-1 - -2) + 5. What is the lowest common multiple of b(l) and 20?
140
What is the lowest common multiple of 12 and 6702/4*(15 - 5 - (-17 + 25))?
13404
Let m = 55256 - 497263/9. Let v(o) = -o**3 + 5*o**2 - 7*o - 1. Let q be v(8). Find the common denominator of m and (-2)/(-6) + q/99.
99
Let a = -29 - -39. What is the smallest common multiple of 3/(-5) - (-66)/a and (-2)/(2 - 4)*18?
18
Let h = 27087/4348 + 22/1087. Find the common denominator of 18/215 and h.
860
Calculate the common denominator of (((-2175)/700)/((-3)/4))/(-50) and 67/100.
700
Let m = 46831 + -280927/6. Calculate the common denominator of -139/162 and m.
162
Let z be 319969/286 - (0 + 0). Let u = 1119 - z. Find the common denominator of (-75)/(-2) - (-4)/(-8) and u.
22
Find the common denominator of -6 - ((-112)/(-70) - (-14043)/(-1980)) and -85/264.
264
Let i = 4667/5475 + 44/219. Calculate the common denominator of -131/360 and i.
1800
Suppose -4*l + 4*d + 4484 = 0, 18*d - 2244 = -2*l + 22*d. What is the lowest common multiple of 128 and l?
4480
Let b be 96/96*1761/5. Let n = 62941/180 - b. Find the common denominator of n and 25/36.
36
Let s = 69656 - 23287. Let w = s - 1391219/30. What is the common denominator of 59*(-3)/(-99) - 0 and w?
330
Let i = 1495267311/550 - 10874679/4. Let q = -77/100 + i. Let j = -2287/8 - -39029/136. Calculate the common denominator of j and q.
748
Let c = -153729163/6 + 25524929. Let z = -96380 - c. Let f = 710/3 - z. What is the common denominator of -23/3 and f?
6
Let x = -21/1430 - 15533/32890. Let v = -9474 + 142178/15. Find the common denominator of x and v.
345
Let q be 7/((-630)/20)*-9. Suppose 4*x - 100 = -4*f, f + 64 - 23 = q*x. Let w(u) = -5*u + 7. What is the smallest common multiple of w(-5) and x?
352
Let y = 225 + -694/3. Calculate the common denominator of (((-1428)/152)/17)/(10/(-12)) and y.
285
Let h = -409509 + 151518241/370. What is the common denominator of h and -131/1620?
59940
Let u(b) = b**3 - 9*b**2 + 3*b - 10. Let h be u(4). Calculate the least common multiple of ((-32)/48)/(0 + 4/h) and (-1)/2 - (-14)/4.
39
Suppose -10*j + 5308 = -164 - 13908. What is the lowest common multiple of 18 and j?
5814
Let f = 87 - 77. Suppose f*m - 12*m = 174. Let s = m + 88. Calculate the lowest common multiple of 3 and s.
3
Suppose -3*z + 2178 = 4355*h - 4352*h, 4*h - 3*z = 2862. Calculate the least common multiple of 5472 and h.
27360
Let t(i) = -i + 1. Let v(y) = 5*y - 18. Let p(q) = -4*t(q) - v(q). Calculate the smallest common multiple of p(2) and 18.
36
Let n = -108/169 + 17141/9633. What is the common denominator of ((-2363)/(-187) - 12) + -3 and n?
627
Let g = -1402 - -4244/3. Suppose -202*w + 192*w - 10 = 0. What is the common denominator of g and w/(-2)*4224/(-891)?
27
Let m = -6167 + 10626. Let w = -9189/2 + m. Let r = w + 116. Calculate the common denominator of r and -107/30.
30
Let h = 349/2 + -132. Calculate the common denominator of h and (((-15)/(-90))/((-4)/760))/((-8)/(-6)).
4
Find the common denominator of 19/131 and 14 + (-33624)/1572 + 7.
131
Suppose 9*z - 4*z - 5 = 0, 3*z = 5*d + 153. Calculate the common denominator of 52/75 and (-31)/d - ((-63)/12 + 5).
300
Let t be (-2)/(-6) - (-22)/6. Let y = 1010 + -998. Suppose 16 = t*a - y. What is the common denominator of -22/3 and a?
3
Let i = 1 + 0. Let u(f) = -36 + 14*f + 9*f**3 + 8*f**2 - 10*f**3 + 0*f. Calculate the smallest common multiple of i and u(9).
9
Let k be 4/(-16) - (-3170296)/(-192). Let g = -16516 - k. Calculate the common denominator of g and 3 + -3 + (-1)/24.
24
Let f = -202696 + 5472733/27. Let q be (0 - 1) + 7778/7786. Let k = 9377/11679 - q. Calculate the common denominator of f and k.
459
Let f(j) = -j - 6. Let n = -20 + 6. Calculate the smallest common multiple of 7 - (-24 + 4/(2 + -6)) and f(n).
32
Let v(h) = 4*h**3 + 27*h**2 + 41*h + 6. Suppose 3*s + 180 = 6*s. Suppose 0 = -2*m - m + s. What is the least common multiple of v(-4) and m?
180
Suppose -z + 2*p + 23 = 0, 67 = 4*z - p - 2*p. Let o be (3 + 0)*(-3)/9. Let u = z + o. Calculate the least common multiple of u and 30.
60
Let t = -40 - -42. Suppose 5*r - 10 = -t*k + 4, 0 = -3*r - 4*k. What is the smallest common multiple of 8 + 1 + (9 - 12) and r?
12
Let y(n) = -n**2 + 44*n - 193. What is the smallest common multiple of (-4)/1*(-4 + 0) and y(39)?
16
Suppose 9*r - 7*r = 226. Suppose -2*u - 16*g + 12*g = -36, -2*u = 3