e the lowest common multiple of p and 16/3 - (-6)/9.
24
Let x be (302/24)/(12/4740). Let w = -4963 + x. What is the common denominator of -89/126 and w?
252
Let t be 4/32 + (-81)/8. What is the lowest common multiple of (78/65)/((-3)/t) and 20?
20
Let i(z) = -z**3 + z**2 - 5*z + 16. Let w be i(3). Calculate the common denominator of -67/3 and w/(-204)*(0 + -49).
12
Let c = 153/5 - 1943/80. Calculate the common denominator of c and -35/24.
48
Let t(d) = d - 10. Let u be t(6). Let a be (-10)/u*(3 + 45). Suppose -k + a = 4*k. What is the lowest common multiple of 6 and k?
24
Suppose z - 95 = 6*z. Let y = z + 63. What is the common denominator of ((-19)/(-3))/(y/(-6)) and -57/16?
176
Let j be (((-6)/3)/4)/((-1)/(-2)). What is the least common multiple of (-2)/j - -17 - 5 and 20?
140
Let l = -26/31 + -428/155. Let c = -27064/7 - -3859. Calculate the common denominator of c and l.
35
Let a = -279 - -364. What is the least common multiple of 10 and a?
170
What is the common denominator of (-1572)/131 - (-6362)/528 and -79/198?
792
Let u = -61 + -9. Let o = -1634 + 26153/16. What is the common denominator of o and u/6 - (-3)/(-12)?
48
Let d be 18/(-4)*24/(-36) - -18. Let v = -9 - -27. Suppose -v*y - 12 = -d*y. What is the smallest common multiple of 16 and y?
16
Suppose -2*q - 893 = -3*k + 120, -3*k - 2*q + 1033 = 0. Calculate the lowest common multiple of 11 and k.
341
Let u = 70415/14 + -5032. Let p(t) = 2*t + 29. Let q be p(-15). What is the common denominator of (97/(-22) - (-1 + -2))/q and u?
154
Suppose -12*m = -11*m - 2. What is the common denominator of (m - 34/12)/(2/3) and -85/4?
4
Suppose -b = -8 + 3. Let k be 102/85*(-5)/(-3). Suppose -n - 1 = -3*x + n, 0 = -2*n + k. Calculate the least common multiple of b and x.
5
What is the smallest common multiple of 20 and 4*9*8/24?
60
Suppose 0 = 85*h - 79*h - 300. Calculate the lowest common multiple of 7 and h.
350
Suppose 0 = -b + 2*k - 2, b + 25 = -5*k - 12. Calculate the least common multiple of (b/(-9) + 0)*3 and 16.
16
Let s be 871/(-91) + 4/7. Let z = -2174/3 + 709. Find the common denominator of z and ((-15)/(-9))/(12/s).
12
Let h = -853 + 8643/10. Find the common denominator of (-60)/(-22) + 6/4 and h.
110
Suppose -5*j + 125 = -5*u, 2*j - 2 = -3*u + 58. Let i = 45 - j. Suppose 4*c - t - 37 = -0*t, 3*c - 4*t - i = 0. Calculate the least common multiple of c and 10.
10
Calculate the smallest common multiple of ((-1120)/(-30))/((-2)/(-3)) + 1 and 27.
513
Suppose -5*y - t = -64, -3*y + 48 = 6*t - 3*t. Suppose 0 = a + y + 13. What is the common denominator of 97/4 and 5/a + 44/40?
20
Suppose -4*q - 3 = -3*q, 5*o - 34 = 3*q. Suppose o*k - 10 - 10 = 0. Suppose -x + k*x - z = 20, -12 = -4*x + 5*z. What is the least common multiple of 2 and x?
8
Let c = 64 - 42. Let n be (-480)/c - 22/121. Let m = -21 - n. What is the lowest common multiple of m and 7?
7
Suppose 236 = 2*f - 4*v, 5*v - 409 = -3*f - 0*v. Suppose -f = j - 130. Calculate the lowest common multiple of 16 and j.
16
Find the common denominator of (-494)/(-665)*(-2 - -1)*5 and 22/277.
1939
Calculate the common denominator of 21/36*(-200)/(-160) and 9/200.
1200
Let r = 0 - 12. Let q(n) = -n**3 - 14*n**2 - 8*n - 12. Let w be q(r). Let j = w + 1425/7. Find the common denominator of 11/7 and j.
7
Let w = -1 + -8. Let s = -5 - w. Suppose -3*r = -3*y + 3, s*r = 5*y - 7 - 0. What is the lowest common multiple of r and 5?
10
Suppose -4 = -5*n + 1. Let a(t) = 2*t + 5 + 0 + n. What is the least common multiple of a(5) and 14?
112
Let u(p) = -2*p + 1. Let n be u(0). What is the common denominator of 63/4 and (-726)/36 + n + 15/(-9)?
12
Find the common denominator of (31/(-5))/(16/(-30)) and 24/(-180) + (-3939)/(-180).
8
Suppose 2*x + 5*t = 153, 2*x - 72 = x - 4*t. What is the common denominator of 496/x + (-2)/(-3) and 10/16*355/(-25)?
56
Let j = 13331 + -239867/18. What is the common denominator of j and 82*(26/(-24) + 1)?
18
Let x = 7699/10560 + 3/704. Find the common denominator of x and -53/15.
15
Suppose 4*u = 5*r - 0*u - 148, 5*r + u = 163. Let v = r - 30. What is the smallest common multiple of v and 8?
8
Let i = 4 + -2. Suppose 3*n + 66 = i*u, -5*u - 2*n + 178 = -3*n. What is the common denominator of 12/7 and 499/(-99) - (-8)/u?
77
Let v(p) = 36*p**2 + 2*p + 2. Let f = 121 - 122. Calculate the smallest common multiple of v(f) and 18.
36
Let h = 2262451/11 - 206983. Suppose 2*j - 5*z = 2667 - 24, -z = 5. Let s = h + j. Calculate the common denominator of -25/7 and s.
77
Let i(z) = 16 + z + 4 + z - 9. What is the lowest common multiple of i(-4) and 12?
12
What is the smallest common multiple of 214 and 8/(2 + 2) + 27/9?
1070
Suppose 8*f - 2116 = -1348. Calculate the least common multiple of 22 and f.
1056
Let w be (8 + -5)*(-16)/6. Let c be (5/(-2))/(-5)*w. Calculate the common denominator of 46/11 and (c/14)/((-2)/15).
77
Suppose -4*h + 0*h + 32 = 0. Suppose 17*z - 121 = -19. What is the smallest common multiple of h and z?
24
Suppose -2*u + u + 8 = 0. Suppose -4 = 24*r - 100. Calculate the least common multiple of u and r.
8
Suppose -259*l + 36 = -255*l. What is the smallest common multiple of l and 72?
72
Let z = 16887 + -371615/22. Let k = 6/9829 + -992897/275212. Find the common denominator of z and k.
308
Let c be (16 - 11) + (-1 - -1). Let x = c + 17. What is the lowest common multiple of 20 and x?
220
Let t = 4 + -3. Suppose -2*u + 20 = -0*o + o, 3*o = 4*u - 20. Suppose -u = -2*q + n, 5*n - n - 34 = -3*q. What is the least common multiple of t and q?
6
Let s(z) = z**2 + 9*z + 3. Let o be s(-9). Suppose -y - 9 = o*h, -2*h + 4 = -4*h. Find the common denominator of y/(-8)*282/(-9) and -52/5.
20
Suppose -t = -173 - 365. Let a = t + -1550/3. Find the common denominator of (-12)/(-9) - (-1075)/60 and a.
12
Let w = 156 - -38. Calculate the smallest common multiple of 14 and w.
1358
Let j(d) = 2*d**2 + 46*d - 85. What is the least common multiple of j(-28) and 9?
585
Find the common denominator of (-11)/((-220)/27) - 1 and 326/168 + (-1)/2.
420
Calculate the smallest common multiple of 18 and (-3 + 3 + 0)/(-2) + 40.
360
Let p = -986057/4074950 - -6/37045. Find the common denominator of p and -45/16.
4400
Suppose 0 = w + 5 - 21. What is the least common multiple of (-2)/(-8) + 572/16 and w?
144
Let d be (-28)/16 - (-2)/(-8). Let r(s) = -4*s**3 - 3*s**2 - s. Let q be r(d). Calculate the common denominator of 2 - (1 + 120/q) and -83/10.
110
Let c = 1 - -5. Let b = -457 - -543. Calculate the smallest common multiple of b and c.
258
Let m be (-2)/7 + (-2)/(-7). What is the common denominator of -10 - ((-23550)/(-48))/(-25) and m + -2 - 114/20?
40
What is the common denominator of (-115)/24 + (-8 - -7) and 95/6?
24
Suppose 3*z + 5 - 2 = 0, -5*z = 4*r - 71. Calculate the least common multiple of (7 + -12 - (0 + -7))*5 and r.
190
Calculate the lowest common multiple of 14 and 3*(7 + 7/(-3)).
14
Suppose -27*c = -29*c - 186. Let l = c - -43. What is the common denominator of l and -17?
1
Let v = 469/9 - 9119/180. What is the common denominator of (-2)/(-4)*(-82)/(-20) and v?
20
Let c = -27169/14 - -1944. Find the common denominator of c and -5/8.
56
Let b = 152551/36 - 4241. Calculate the common denominator of b and -41/66.
396
Let n = -253 - -1023/4. Let q = 243/7 - 46663/1344. What is the common denominator of q and n?
192
Let a = -393/8 + 887/24. Calculate the common denominator of -85/138 and a.
138
Let b be (-96855)/(-50)*2/1434. Let m = b + -2/1195. Calculate the common denominator of -59/15 and m.
30
Let x = -26 - -19. What is the common denominator of 81/22 and x/(-14) + 46/(-24)?
132
Suppose -o - 334 = -2*p, -1317 = -5*p + 3*o - 481. Let i = p - 118. Calculate the least common multiple of 4 and i.
48
Let f be (-7234)/880 - (-1)/(-5). Let u = 387641/22 - 17615. Let k = u + f. What is the common denominator of 5/6 and k?
24
Let s be 9*(-3 - (-10)/3). Let v(b) = b**2 - 5. Calculate the smallest common multiple of 14 and v(s).
28
Let a(i) be the third derivative of i**5/12 - i**4/2 - 10*i**3/3 + 7*i**2. What is the least common multiple of 20 and a(-2)?
120
Let l be (304/(-36) + 1)*-60. Let m = l + -440. Let y = -1/47 + -512/235. Find the common denominator of y and m.
15
Let x(c) = 436*c + 8. Let n be x(-3). Let o = n + 6532/5. Calculate the