k) = -11*k + 222. What is the smallest common multiple of r(-15) and 430?
3870
Calculate the lowest common multiple of 834 and (2 - (-107 - -4))/2*12/15.
5838
Calculate the common denominator of 12680/800 + -10 - 9 and -1 - (0 + 179/(-172)).
860
Suppose 2*r = 3*m - 0*r - 260, -4*r = -4*m + 340. Let f = 46 + -42. What is the least common multiple of f and (m/25)/((-12)/(-40))?
12
Find the common denominator of 2/(-104)*(-1 - -16) and ((-163)/4564)/((-4)/(-68)).
364
Suppose 3 = -3*g - 144. What is the common denominator of -3 + (-140)/g - (-2103)/168 and 17/6?
24
Let s = 586 - 566. Calculate the common denominator of (-183)/270 - s/(-12) and 26/75.
450
Let l = -539575/78 - -20758/3. Find the common denominator of (107/(-36))/((-1)/3) and l.
156
Let t be (-4)/10*-5 + (-186)/6. Let l = -23 - t. What is the lowest common multiple of l and 28/(-12)*-3*1?
42
Let n(j) = -38*j + 1421. Calculate the least common multiple of 57 and n(37).
285
Let b = 653937572117/9010 + -72579087. Let m = b + -3/265. Calculate the common denominator of (-1)/2 - 73/(-20) and m.
340
Let q(k) = 2*k**2 + 50*k + 4. Let w be q(-25). Suppose w*v - 182 - 6 = 0. Suppose 52*t - 10 = v*t. What is the smallest common multiple of 37 and t?
74
Let g = 832 + -836. Calculate the common denominator of -103/160 and 1/(g + 1152/318).
160
Let p = 1663 - 14975/9. Calculate the common denominator of p and -2/89.
801
Calculate the common denominator of (49/(-4))/(150/8) and (-636820)/(-30600) - (21 + -2 - 0).
450
Suppose 0 = -11*j - 7414 - 46563. Let d = j + 63741/13. Calculate the common denominator of -31 and d.
13
Let i = 4000 - 39939/10. Let w = 5 + 0. Calculate the common denominator of i and (-25)/(-9) - 0/w.
90
Let j(y) = -43*y - 1905. Calculate the least common multiple of 3756 and j(-45).
18780
Suppose 2*t - 2*r + 5*r + 25 = 0, 15 = 5*r. Let s be 32/(-272) - 87/t. Suppose -s*i - 25 = -225. What is the smallest common multiple of i and 9?
360
Let w = 78842819/364 - 216601. Calculate the common denominator of -59/260 and w.
1820
Let d(b) = -16*b - 132. Let v be (2 + 5 - 5) + -12. What is the smallest common multiple of d(v) and 28?
28
Let l be (-53 - -59) + 12*2. What is the lowest common multiple of 6 and 342/l - (-3)/5?
12
Let i = 843622907/4488 - 187973. Find the common denominator of -16/1683 and i.
13464
Calculate the least common multiple of ((-370)/(-10) - 38) + (150 - 1) and 8.
296
Suppose -2*z - 4 = -k, 2*k + 9*z = 4*z + 17. Suppose 2*q = 2*c + 60, 21*c + 12 = 19*c. Calculate the smallest common multiple of q and k.
24
Let z(l) = 12*l - 21. Let n(i) = 11*i - 96. Let q be n(9). Calculate the lowest common multiple of 2 and z(q).
30
Suppose -4*x = -1615 + 31. What is the common denominator of 50 and (1/((-54)/(-212)))/((-9240)/x)?
315
Let m = 3293/29832 + 17/264. What is the common denominator of 37/30 and m?
6780
Calculate the common denominator of -5 - 684/24 - -12 and -31/665.
1330
Suppose 460 = 40*t - 35*t. Suppose -148 = -8*x + t. Let u(r) = r**2 - 2*r. Calculate the smallest common multiple of x and u(-2).
120
Let y = 621690 + -2695647809/4336. Find the common denominator of 67/10 and y.
21680
Let q = 24994957/659960640 + -6/229153. What is the common denominator of q and -89/900?
14400
Suppose 4*x = 2*x - 0*x. Let t be 51 + x/(-2 + 4). Suppose 2*w - 3 = t. What is the lowest common multiple of w and 9?
27
Suppose -5*p + 1113 = 3*k, 5*k + 603 = 4*p - 317. Calculate the smallest common multiple of p and 153.
3825
Suppose 86*a = 22*a + 256. Suppose -2*i + 0*i = -4*g + 208, -104 = -2*g + 2*i. What is the lowest common multiple of a and g?
52
Suppose 14*q - 16*q + 422 = 3*j, -4*q = 20. What is the least common multiple of j and 51?
2448
Suppose 2*i - 11 = -3. Let h be (-2)/(-8)*3*i. Suppose h*v - 5*v = -6. Calculate the least common multiple of v and 12.
12
Let z(p) = 2*p**2 - p + 1. Let f be z(1). Suppose 3 + 63 = f*t. Suppose 3*y - 52*a = -49*a + 18, y + a = 4. What is the least common multiple of t and y?
165
Suppose 8 + 7 = 5*t. Suppose p + t*p - 40 = 0. Calculate the smallest common multiple of 4 and p.
20
Suppose -17*a + 4*a + 1124 = 4*q, -2*q + 352 = 4*a. Let h(u) = 12*u**2. Calculate the least common multiple of a and h(1).
84
Suppose 0 = -4*a + 38 + 6. Let m(k) = k**3 - 10*k**2 - 14*k + 16. Let g be m(a). Let p = 32 + g. What is the lowest common multiple of 5 and p?
15
Let v be 34/4*(-2698 + 12). Let j = -411083/18 - v. Let l = 2569/4624 - -2/289. Calculate the common denominator of j and l.
144
Let u(d) = -11*d**2 - 1556*d - 429. Calculate the smallest common multiple of u(-141) and 22.
3036
Let h(k) be the third derivative of -k**6/120 + k**5/15 - k**4/8 + 3*k**3/2 - 113*k**2. What is the least common multiple of 3 and h(3)?
9
Let z(j) = 3*j**3 - 2*j**2 + 48*j + 5. Calculate the lowest common multiple of 30 and z(5).
570
Let n = 4170 - 3762. What is the lowest common multiple of n and 240?
4080
Suppose -5*j = 78*s - 73*s - 3355, 1314 = 2*j - 2*s. What is the least common multiple of j and 2407?
19256
Let q be (-100)/8*32/(-5). Suppose -65*d = -73*d + q. Calculate the least common multiple of d and 55.
110
Suppose 134 = 3*y + 5*f - 5, 0 = 3*y + 3*f - 141. Calculate the lowest common multiple of 392 and y.
2352
What is the common denominator of (-122)/10*(-15)/(-1074) and (462/(-28))/(297/81)?
358
Let s = -66287/60816 + -18/1267. Find the common denominator of ((-2)/(-6))/1 - 17834/3552 and s.
48
Let v(w) be the second derivative of -3*w**3/2 - 33*w**2 - 14*w. Let d be v(-8). Calculate the common denominator of 214/(-40)*d + (-51)/(-85) and 17/20.
20
Let d = 6 + -1. Let a = -28 - -58. Calculate the lowest common multiple of 50*(d - (-154)/(-35)) and a.
30
Suppose -6 = 2*l, -5*q - 42*l + 3337 = -46*l. Calculate the smallest common multiple of 1197 and q.
5985
Suppose -4*r = -4*p - 344, 68 = -4*r + 5*p + 410. Let h = -2278 - -2286. Calculate the lowest common multiple of h and r/9 - (-10)/45.
40
Calculate the common denominator of -17/76 and 330/(-825) - 3098/(-4320).
8208
Let r = 295/672 + -139/32. What is the common denominator of -71/198 and r?
1386
Let y be 1 - (60837359/5082 - (-1)/7). Let b = y + 11970. What is the common denominator of b and 107/12?
132
Let u be (-27507)/12 + 2/8. Let j be 906/2416 + -183066*((-3)/80)/3. Let t = j + u. Find the common denominator of t and -7/30.
30
What is the least common multiple of 8372/70 - (6/15)/(-1) and 136?
2040
Let d = 317983/18 + -17664. Let v = -47/13 - -647/312. What is the common denominator of d and v?
72
Let j = -286 + 282. What is the common denominator of (54/(-840))/((-30)/1025) + j and -127/42?
168
Let w = -42162389/972 - -43377. What is the common denominator of -67/72 and w?
1944
Let b(d) = -3*d**3 + 54*d**2 - 40*d - 11. Let m be b(18). Let z = m + 760. What is the least common multiple of 10 and z?
290
Suppose u + 24 = 26. Suppose n - u = -k - 0, 0 = -k - 2*n - 2. Suppose -i + 4*y = -k, -2*y + 56 - 4 = 5*i. What is the least common multiple of i and 10?
10
Suppose t - 1575 = -3*g, 4*g - 3154 = 31*t - 33*t. Let w = 17406/11 - t. Find the common denominator of w and -38/341.
341
Calculate the lowest common multiple of (-12610)/(-130) + (-12)/2 + -1 and 14.
630
Let d(m) = -3*m**3 - 89*m**2 - 43*m - 71. Let f be d(-29). Let c = -356 - f. Calculate the lowest common multiple of 27 and c.
1350
Suppose -2*y + 6*y + 5*v = -652, -668 = 4*y + v. Find the common denominator of (910/y)/(3/(-6)) and 11/36.
36
Suppose 5*t - 3*d = 0, 6*d = 5*d. Find the common denominator of 25*(-2)/22 + (-2 - t) and 44/13.
143
Let h = 5918/95193 + 2/1511. Find the common denominator of h and (-464)/(-36) + (-36)/6.
63
Let l be ((-237)/(-4))/(3715/620 + -6). Let p be ((-2)/6)/(36/794169). Let k = p - l. What is the common denominator of 145/12 and k?
12
Let l(m) = -m**3 + 7*m**2 + 53*m - 87. Calculate the least common multiple of l(11) and 1404.
1404
Let y(s) = -s - 1. Let z be y(-5). Let a = -1261 + 1264. Suppose -w - 4*x + 2 = -a, z = w + 3*x. Calculate the least common multiple of 10 and w.
10
Let c(m) = 118*m + 19 - 109*m - 2*m**2 + 4*m**2 + 0. Let j be c(-8). Let a = j + -67. What is the smallest common multiple of 3 and a?
24
Let c(q) = -q**2 + 4*q + 74. Let u be c(-9). Let o = 127 + u. What is the least common multiple of 14 an