*k + 159, f + 3*k = l. What is the smallest common multiple of (7/2)/(17/34) and f?
378
Let l(a) = -a**2 + 11*a + 11. Let b be l(10). Suppose -12*g = -b*g + 108. Let y = 30 - -76. What is the lowest common multiple of y and g?
636
Let s = 129 - 139. Let m(f) = f**3 + 10*f**2 + 15. What is the least common multiple of m(s) and 33?
165
Suppose -i = 4*i - 2*g - 85, 2*g = 10. Suppose -5*r + 3*m + 24 = 0, 2*r = -5*m + 3 + i. Find the common denominator of 1/r + 520/75 and -73/2.
10
Suppose l - 3*q + 5*q = -27, 0 = -5*l + 2*q - 123. Let h(k) = -k**2 + 3*k. Let t be h(-1). Find the common denominator of ((-6426)/(-544))/(6/t) and l.
8
Let d = 560670361/18344483790 - -2/5443467. Calculate the common denominator of 87/2 and d.
3370
What is the common denominator of ((-1)/40)/(17/(18275/(-10))) and ((-24)/(-60))/((-192)/(-430))?
48
Suppose 30576 = -60*r + 19*r + 132*r. What is the lowest common multiple of r and 49?
2352
Suppose 4*r = -r + 4*y + 18, 0 = 2*r - 4*y - 12. Let d be 3/r - 63/(-14). Find the common denominator of (d - 6) + (80/9 - 2) and 71/3.
9
Let r = 3252 - 3217. Calculate the smallest common multiple of 30 and r.
210
Let k = -108 - -170. Let i = 3631 - 28979/8. Find the common denominator of i and (k/(-12) + -3)/(14/(-21)).
8
Let g = -424492/5 - -59768477/704. What is the common denominator of 39/22 and g?
3520
Let n(a) = -6*a + 14. Let o(u) = u**3 - 4*u**2 + 3*u - 2. Let h be o(4). Let p be n(h). What is the common denominator of 143/30 and (-184)/p - (0 + 21/(-20))?
60
Let a(q) = q**2 - 46*q - 400. Calculate the lowest common multiple of 336 and a(-8).
672
Let g = 210 + -202. Calculate the smallest common multiple of 1/g - 958/(-16) and 10.
60
Let p be (16/(-36))/(2/(-63)). Calculate the common denominator of 1/32 and (44/p)/((-15)/(-42)).
160
Let v = -19591/6 - -3288. What is the common denominator of v and (2 + (-398)/4)*12/36?
6
Suppose -5*r + 37 = -4*s - 42, -2*r = -s - 22. Let v = 33 - s. Suppose -3*y - v = -2*w + 2*y, -3*w = -4*y - 56. What is the least common multiple of w and 15?
60
Let m be 3/12 + 6/8. Suppose -3*w + 149 + m = 0. What is the lowest common multiple of 115 and w?
1150
Suppose -2 = -3*h - 3*q + 7, -5*q = 3*h - 11. Suppose 4*z + 28 = h*z. What is the lowest common multiple of (z - -13) + (8 - 0) and 11?
77
Calculate the common denominator of 101/720 and (-66)/(-128)*(-10820)/55182.
24480
Let x(k) = k**3 + 49*k**2 - 1207*k + 191. What is the smallest common multiple of x(-63) and 18?
185994
Let k = 669061/23532534 - 102/5611. What is the common denominator of k and 17/18?
4194
Suppose -2*a = 4, -3*a = 5*u - 6*a - 216. What is the common denominator of 210/(-9)*(-12)/u and 2/((-40)/226) + -1?
30
Let n = 3997 + -3975. What is the smallest common multiple of n and 196?
2156
Let t be 1/(-5)*1 - (-14)/(-5). Let g(y) = -y**2 - 4*y - 1. What is the lowest common multiple of 10 and g(t)?
10
Suppose -l - 2*n = -8, 9*n + 1 = l + 4*n. Suppose 12*f + 114 = 498. Suppose 26*q + 96 = f*q. Calculate the lowest common multiple of l and q.
48
Let h(o) = -4*o + 25. Let d be h(10). Let j = -2396 + 2416. What is the smallest common multiple of (24/d)/(5/(-25)) and j?
40
Let b = 34812 + -31440. What is the lowest common multiple of b and 36?
10116
Let g(r) = -r**2 - 5*r - 8. Let v be g(5). Calculate the common denominator of -34/63 and -2 + (v/40 - (-16)/80).
252
Let h(a) = -57*a - 11. Let g be h(-7). Calculate the common denominator of (2/(-12))/((-8)/g) and (0 - 10)*(-30)/8.
12
Let k = 2540 - 7568/3. Calculate the common denominator of k and -20/2263.
6789
Let s be 468/3*((-39)/(-12) - 2). Suppose -2*f + s = -0*f + i, -3*f = i - 291. Suppose 3*m = -15 + f. Calculate the least common multiple of 15 and m.
135
Let r = 27091 + -1842151/68. Let l = 3/736 + -5431/736. Calculate the common denominator of l and r.
136
Let l be (12/(-22))/(11/(-121)). Suppose 0 = -2*f - 2*h + l, 4*h + 11 + 7 = 2*f. Calculate the least common multiple of 2 - ((-1)/f + (-278)/10) and 6.
30
Let v(c) = 5*c**2 + 1. Suppose 7*k - 3*k - 724 = 0. Suppose -55 = 7*d - k. What is the least common multiple of d and v(1)?
18
Let g = 17072/9 + -4950403/2610. Find the common denominator of 119/10 and g.
290
Let j = -288 + 330. Let b = -3403/2 + 1737. What is the common denominator of (-1 - 4)/((-77)/j) and b?
22
Let h = 109 + -103. Let z be 24/(-32) - 726/(-8). Suppose 5*f + 2*q = z, q - 54 = -3*f - 2*q. What is the smallest common multiple of f and h?
18
Let c = 25323 - 99177/4. Let d = -31137/2 - -16087. Let z = d - c. Find the common denominator of 19/7 and z.
28
Let u = -2170 - -2212. What is the smallest common multiple of 1400 and u?
4200
Let y = 371/8 - 2713/56. Calculate the common denominator of y and (1 + -3)*(-1)/((-288)/(-339)).
336
Suppose -3*r = 5*a - 5, 0 = -4*a - 0*a - 8. Calculate the least common multiple of 42 and r*(4/(-14) - 2328/(-210)).
378
Let o be 5/3 + ((-5)/3)/(-5). Let k be ((-1)/(o - 3))/(-1). Find the common denominator of 2/3 and 930/(-72) - 2*k/8.
3
Let g = 18 + 14. Calculate the least common multiple of g and (5/(-3))/(-9 + (-1595)/(-180)).
96
Suppose -1201*h + 1388*h = 2244. Suppose 3*o = 5*s - 14, -9 - 13 = -3*s - 5*o. Calculate the smallest common multiple of s and h.
12
Let m = -67527239/711 - -94975. Let x = 80367241 - 228564414737/2844. Let p = m - x. Find the common denominator of p and 23/6.
12
Suppose 4*g + 36 = 3*p, 4*g + p = -4*p - 4. Let z(q) = -q**3 - 7*q**2 - 8*q + 10. What is the smallest common multiple of z(g) and 14?
154
Let q = -46 - -577/14. Let x be (-84)/(-10)*50/(-15). What is the common denominator of q and 206/x + (-9)/(-3)?
14
Let o = 126 - 123. Let z be -3 + o + -71 - -1. Calculate the common denominator of -117/50 and (-8)/z*(12/4)/(-6).
350
Suppose 3*m = -f + 249, -266 = -4*f + 5*m + 679. What is the smallest common multiple of 60 and f?
240
Suppose -4*w + 1 = -5*k, -14 + 20 = 2*k. Let i(m) = -3*m + 22. Calculate the smallest common multiple of 30 and i(w).
30
Suppose 2*u - 8 = 203*l - 207*l, 4*l - 26 = -5*u. What is the lowest common multiple of u and 2031?
4062
Let p = 2/6439 - -148077/64390. Let b = 2050096/67 + -30595. Let l = b - 8572/3283. What is the common denominator of p and l?
490
Let n = 6736739/630 - 228601/45. Let d = -1413 + -4204. Let t = d + n. Calculate the common denominator of 81/38 and t.
266
Suppose -31*a - 7195 = -33607. Calculate the lowest common multiple of a and 4.
852
Calculate the common denominator of -97/936 and ((-56)/(-1944))/(((-24)/18)/(-1)).
8424
Let b = -383 - -318. Suppose r + 10 + 41 = 0. Let a = r - b. What is the lowest common multiple of a and 30?
210
Let a be ((-28)/(-6))/(-3 + (-141)/(-45)). Suppose -3*g - 4*n - 4 + 22 = 0, -2*g + 5*n = -a. Calculate the smallest common multiple of 204 and g.
1020
Let n = -500 - -8105. What is the lowest common multiple of n and 225?
38025
Suppose 9 - 17 = -2*u, 0 = -5*m - 3*u - 3583. Calculate the smallest common multiple of m/(-4) - 5/(-20) and 2.
180
Let y(m) be the third derivative of m**5/10 + 5*m**4/6 + 22*m**3/3 + 7*m**2 - 8*m. What is the smallest common multiple of y(-2) and 92?
644
Let i = 1253/516 + 21/43. Let s = -16890 + 11392. Let a = 49556/9 + s. What is the common denominator of i and a?
36
What is the smallest common multiple of 10/4*((-2912)/(-390) + 28/21) and 330?
330
Let d = -1818/11 - -20177/132. What is the common denominator of d and 41/162?
324
Let n = 1673 + -10127/6. Find the common denominator of 22/987 and n.
1974
Let r be (1962/3)/((54/(-4))/9). Let o = 450 + r. Calculate the smallest common multiple of o and 230.
1610
Let x = 6828 - 143410/21. Calculate the common denominator of 77/5142 and x.
35994
What is the common denominator of 17/3204 and 2/32*5640/30?
3204
Let d = -17986 - -755291/42. Calculate the common denominator of d and -41/2.
42
Let r be 60/33 - -4*2/44. What is the smallest common multiple of (r + -65)*(-3)/(9/3) and 15?
315
What is the smallest common multiple of 14 and (-1187758)/(-121) + (-10)/55?
68712
What is the lowest common multiple of 28 and (219/(-1))/((-1435)/(-385) - 4)?
22484
Suppose 0 = 23*q - 21*q - 5*c - 722, 3*q + 5*c - 1133 = 0. Calculate the smallest common multiple of q and 159.
1113
What is the common denominator of 8536/(-8184) - (2 + 7/(-3))/1 and -39/40?
1240
Let 