te the smallest common multiple of i and m.
72
Suppose 413*o - 416*o - 174 = -2*r, 5*o + 170 = 2*r. What is the least common multiple of r and 30?
90
Suppose 3*f + 4*t - 15 - 19 = 0, -5*f = -3*t - 47. Calculate the least common multiple of (-8*(-7)/112)/(2/64) and f.
80
Let o(p) = -7*p - 4. Let q be o(-6). Let l be q/19 - 7372/3693. Let i = l + 134095/22158. What is the common denominator of 29/2 and i?
18
Let a(p) = 1296*p - 8986. Calculate the least common multiple of 118 and a(7).
5074
Suppose 0 = 3*o + 2*k - 31, -25 = 4*o + 2*k - 65. Calculate the lowest common multiple of 5 and (-12*1/(-16))/(o/156).
65
Let n(p) = 23*p**2 - 157*p - 93. Suppose 0 = -t - 0*t - 5*q + 7, 2*t + 4*q = 20. Calculate the least common multiple of n(8) and t.
492
Let m be 0 + 81 - (6 - (3 + 3)). Calculate the common denominator of -3/55 and m/(-22)*2/8.
440
Let l(i) = -3*i + 49. Let w be l(15). What is the least common multiple of (170/(-25) - w)/((-4)/10) and 3/2*(-2 + 8)?
27
Let x = -7500 + 7511. What is the smallest common multiple of x and 997?
10967
Let j = 1031607/5 - 206334. Let y = -87651/275 + 3532/11. What is the common denominator of j and y?
25
Suppose 3*l - 1 = -0*l - 5*g, -2*l = -5*g - 9. Suppose 3*t = 3 + 6, 15 = 4*f - 3*t. Calculate the lowest common multiple of f and l.
6
Suppose -5*y + 208 = -2 - 450. What is the least common multiple of 14 and y?
924
Suppose 42 - 10 = -4*u. Calculate the common denominator of 13/20 and u/(96/182) + 1 + 1.
60
Let i(f) = 815*f**2 + 63*f + 130. Calculate the smallest common multiple of i(-2) and 136.
3264
Calculate the common denominator of 1/88 and 326/45*1371/80432.
1320
Let h = -31 - -49. What is the lowest common multiple of h and (-38 - (-25200)/665) + (-3120)/(-38)?
738
What is the least common multiple of 2040 and -23 + (3 - 14) + 102?
2040
Let k(n) = 13*n + 3. Let i be (-85)/51 - (-4)/6. Let b be k(i). Calculate the common denominator of 69/22 and (5/(-3 + -317))/((-1)/b).
352
Let s = -91 + 257. Find the common denominator of -93/20 and (s/(-240))/((-84)/63).
160
Suppose 5*x = 2*j + 24 - 11, -4*j + 4 = 0. Suppose 0*g + 3 = -s + x*g, 0 = -3*g + 15. What is the smallest common multiple of s and 36?
36
Let z = 4378/277 - 6874298/436275. What is the common denominator of -41/2025 and z?
14175
Let w be -3*1 - (-8)/(160/(-1492)). Let y = -6083/80 - w. Let t = -291 - -5931/20. Calculate the common denominator of y and t.
80
Let q(o) = -172*o. Suppose -5 = 7782*i - 7783*i, -4*z - 3*i + 31 = 0. What is the lowest common multiple of z and q(-1)?
172
Let z = 22/7461 - -706991/611802. What is the common denominator of z and 139/738?
738
Let n = -107215 + 178449. Let a = n + -10542593/148. What is the common denominator of 35/4 and a?
148
Let l be -16*12/16*-2. Let z(g) = -122*g + 155. Let i be z(5). Find the common denominator of (i/l)/(-5) - 4/(-24) and 73/18.
72
Let d = 375952937/5060 + -74299. Let k = 152013/359260 + d. What is the common denominator of -18/7 and k?
497
Let f(y) = -347*y - 8741. What is the least common multiple of 139 and f(-32)?
2363
Let j = 136 + -146. Let w(i) = -i**2 - 7*i + 32. Let n(s) = 8*s - 16. Calculate the smallest common multiple of w(j) and n(8).
48
Suppose -5*o + 113 - 18 = 0. Let w(j) = -4*j - 17. Let f(x) = -x - 1. Let m(c) = -5*f(c) + w(c). What is the lowest common multiple of 22 and m(o)?
154
Suppose 5*c + 3*c - 32 = 0. Suppose 2*t - 40 = -c*m, -3*m + 3 = -3*t - 27. Suppose -m*k = -14 - 66. What is the least common multiple of k and 2?
8
Let g(t) = t**3 - 26*t**2 - 29*t + 64. Let u = 226 - 199. Calculate the smallest common multiple of 12 and g(u).
60
Let g(y) = -y**3 - y**2 + y + 21. Let l be g(0). Suppose 3 + l = 4*d. Let t = 47513 - 47502. Calculate the least common multiple of t and d.
66
Let i be (120/50)/(-4) + 35186998/1080. Let b = i + -32581. What is the common denominator of b and 149/48?
432
Let o = 317 + -316. Let b(j) = 45*j - 5. Calculate the smallest common multiple of 56 and b(o).
280
Suppose -48*v + 51*v - 4*i + 21 = 0, -v + 7 = i. Suppose 3*m - 4*l = 90, 4*m - 3*l = m + 87. Calculate the smallest common multiple of m and v.
26
Let x = -30 - -22. Find the common denominator of 75/2 - (x - -3) and -101/60.
60
Let j(m) = 33*m + 2724. What is the least common multiple of 560 and j(12)?
21840
Let s(i) = 22 + 17*i**2 - 37 + 16 + 48*i**2 - 6*i. Calculate the least common multiple of 45 and s(1).
180
Let s be -3*((3 - 6) + 1). Calculate the common denominator of 58/(-4)*4/9 and (265/(-45) + s)/(2/(-74)).
9
Find the common denominator of (-51)/(-36) + (-14)/21 - (-34)/(-25) and 103/20.
100
What is the common denominator of ((-2)/15)/(25/((-20250)/84)*-25) and 31/30?
1050
Suppose -7*y + 2*y - 5*f = -18250, -5*y - 3*f + 18256 = 0. Calculate the lowest common multiple of y and 5.
18265
Let x(h) = -h**3 + 42*h**2 + 61*h - 68. Let p be x(43). Calculate the common denominator of 65/24 and p/(-108) - (-28)/4.
216
Let v(n) = 5*n**2 + 1. Let b be v(-1). Let q(k) = -55*k - 630. Let f be q(-12). Calculate the common denominator of b/f*455/6 and -25/16.
48
Suppose 5*v + 14 = -l + 16, 0 = 4*v. Suppose -17*o + 22*o = 5*f - 290, 3*o = -l*f + 106. What is the least common multiple of 154 and f?
616
Let g = -30/869 - 40663/5214. Find the common denominator of (-1 + 25/24)*-62 and g.
12
Let f(k) = 2930*k - 574276. Suppose -2*x + 2*l + 14 = l, 4*x + l = 16. Let i(v) = 3*v - 5. What is the smallest common multiple of i(x) and f(196)?
20
Suppose -l + 6 = -3. Let j be (-4)/12 + 3/l. Suppose j = -11*u + 8*u + 24. What is the lowest common multiple of 10 and u?
40
Let m be (-304)/2109*30/4. Let j = -5107/444 + m. What is the common denominator of -121/6 and j?
12
Let a be (-2)/7 - (-88)/14. Suppose -4*z - 14 + 38 = 5*h, 0 = z + h - a. What is the least common multiple of z and (2 - 12/9) + ((-344)/(-24) - 5)?
30
Suppose z - 358 = -3*z + 2*j, 0 = -3*z - j + 281. Suppose d - z = 4*c, -2*c + 2*d - 60 = -2*d. Let h = 30 + c. What is the smallest common multiple of h and 56?
56
Let z = -44737/115760 + -3/2894. Find the common denominator of -51/184 and z.
1840
Let h be ((-2214)/2211 + 1)*4/(-12). Let b = -2/67 - h. What is the common denominator of -59/3 and b?
33
Suppose 5*r = 3*q + 13, q - 3*r = -q - 7. Suppose 4*l - 12 = v - 19, -q*v + 28 = l. Calculate the lowest common multiple of v and (-1 - -5)*(-15)/(-12).
35
Suppose 4*d = -3*y + 19, 3*d + 7 = 3*y - y. What is the common denominator of 20/11 and (-52)/(-2)*d/(-11)?
11
Let j = -610329425 - -26855993183/44. Let n = j - 34054. Find the common denominator of n and -33/160.
1760
Let n = 381/17 - 9202/425. Find the common denominator of n and 5 - (-25 - -33 - -2*(-64)/(-36)).
225
Let h(n) = n**2 - 4 - 5*n - 3*n**2 + 3*n**2. Let z be h(3). What is the smallest common multiple of (z/4 - -1)*16/(-6) and 26?
52
Let u = 569/217 + 87/31. Find the common denominator of u and (-36)/240*(-4 + 90/54).
140
Suppose 13*a = 18*a - 15. Suppose 0 = 2*s - 7*s - 5*w + 60, -5*s = -a*w - 20. Suppose -5*g + 3 + s = 0. Calculate the least common multiple of 58 and g.
58
Let f(l) = 17*l + 52. Let i be f(-4). What is the smallest common multiple of 63 and (-1 - i/12)/((-12)/(-252))?
63
Let d = 33 - 17. Suppose 4*x = -z + 23, -23*z - x - 3 = -24*z. Let n(g) = 4*g**3 - 30*g**2 + 16*g - 3. Calculate the lowest common multiple of d and n(z).
176
Let i(j) = j**3 + 11*j**2 - 6*j + 10. Let s be i(-12). Let h = s + 94. What is the smallest common multiple of 12 and h?
96
Calculate the lowest common multiple of 770 and (1182/(-12) - 4 - 6)*-22.
23870
Suppose 4 = -0*z - 2*z. Let t be (z + 26/3)/((-2)/21). Calculate the common denominator of (-15)/(-2)*t/200 and -32/3.
24
Let l(q) = 42*q - 35. What is the smallest common multiple of 294 and l(9)?
2058
Let c(z) = -2*z + 26. Let k(l) = -195 - 2*l**2 + 25*l + 366 - 192. Let n be k(11). Calculate the smallest common multiple of c(n) and 18.
18
Let z = 22427/7984 - -7/1996. Find the common denominator of -55/548 and z.
2192
Calculate the common denominator of (-436*(-21)/(-112))/(-783 + 3) and 179/780.
3120
Suppose -z - 3*s + 1024 - 667 = 0, 5*z + 5*s - 1765 = 0. Calculate the smallest common multiple of z and 135.
1755
Suppose a - 5*k = 3*a + 19, -2*k = a + 7. Suppose 5*o - 34 = -a*l + 42, -9 = 3*l. Suppose -40 = -22*s + o*s. Calcu