Find the common denominator of u and p.
144
Let t be (-2)/(-5) + (-243)/(-5). Suppose 2*a - i + 78 = 3*i, 64 = -2*a - 3*i. Let p = a + t. What is the lowest common multiple of 14 and p?
14
Let f(j) = -j**2 - 18. Let g(u) = u**2. Let s(m) = f(m) + 2*g(m). Calculate the smallest common multiple of 1 and s(5).
7
Let p = -177 + 193. What is the least common multiple of 30 and p?
240
Let f be -1*44*(-5 - -1). What is the common denominator of (-1778)/220 - (-32)/f and -81/52?
260
Let a(r) = -r**3 + 4*r**2 - 3*r + 2. Let c be a(4). Let h be (-11884)/c - (-2)/(-5). Find the common denominator of 6/27 - (-870)/h and 61/2.
22
Let v(m) = m**3 + 7*m**2 + 4*m + 8. Suppose -43 = -d - 1. Suppose 2*r - d = -5*j, 3*r - 44 = 5*j - 6. Calculate the least common multiple of v(-6) and r.
80
Suppose -w - 11 = -17. Suppose -4*t = -x + 15, -5*t = -w*t - 1. What is the smallest common multiple of 1 and x?
11
Let i(w) = 15*w**2 + 2*w - 1. Suppose -3*t = -2*f - 8, -2*f = t + 7 + 1. Suppose t = 2*z - z - 1. What is the least common multiple of i(z) and 20?
80
Let z(c) = -c**3 - 5*c**2 + 5*c - 2. Let g be z(-6). Suppose -g*i - 68 - 120 = -4*u, -3*i + 129 = 3*u. Calculate the least common multiple of 9 and u.
45
Let y(k) = -2*k - 8. Let l be y(-7). Suppose 0 = m + l - 5. What is the common denominator of -95/2 and (-194)/8 + (0 - m)?
4
Let g = 286365 - 776335505/2711. Let n = 208907/43376 - g. Calculate the common denominator of -59/10 and n.
80
Let d = 22 - 23. Find the common denominator of 85/22 and d - 2/(-44)*(-855)/(-9).
22
Calculate the common denominator of (-5 - (-36)/(-56)) + 1/(-2) and (-57)/33 + -1*1.
77
Find the common denominator of 69/46*(-248)/54 and 49/534.
1602
Let i = -627481/1656 - -8746/23. What is the common denominator of 9/40 and i?
360
Let y = 756 - 1441/2. Let p = -203934547/8 - -714915601/28. Let k = 40880 - p. What is the common denominator of y and k?
56
Let b = -19633/4662 + -1/333. Let k = 66/97 + -3031/1746. Calculate the common denominator of k and b.
126
Find the common denominator of 1/4 and (128 + -3)*4/(-48).
12
Let u = 1438861369/1770 - 812916. Calculate the common denominator of u and 31/2.
1770
Suppose -2*n - 4*b = 5 - 325, -2*b + 800 = 5*n. What is the smallest common multiple of 192 and n?
960
Let f(u) = -15*u + 233. What is the lowest common multiple of f(15) and 19?
152
Calculate the common denominator of (-1038)/(-10)*(-93)/(-13392) and -27/440.
2640
Let c = 18/2093 - -273319/100464. Calculate the common denominator of c and 49/12.
48
Let m(d) = -2*d + 53. Let k be m(22). Suppose -21 = -3*v + k. What is the smallest common multiple of v and 24?
120
Let f(d) = 1059*d + 1. Let h be f(2). Let c be (-1083552)/(-512) + (-6)/(-1). Let z = c - h. Calculate the common denominator of z and -115/28.
112
Let w = -3 - -14. Suppose h - 1 = w. What is the smallest common multiple of (28/(-12))/(2/(-12)) and h?
84
Let o = 17175262078530/691 + -24855656114. Let n = 5360 - o. Let r = 65629/2764 + n. What is the common denominator of 1/4 and r?
4
Suppose -3*k + 12 = 3*t, -5*t - 4*k - 4 = -23. Let w(o) = -3*o + 13. Let i be w(t). Calculate the common denominator of 3/i + (-265)/60 and 41/3.
3
Let r(d) = -d**2 + 7*d - 9. Let p be r(-4). Let f(z) = -z**3 - 8*z**2 - 9*z + 1. Let i be f(-7). Calculate the least common multiple of (1 - p)*i/45 and 2.
18
Let n = -809/176 - -53/22. What is the common denominator of 67/56 and n?
112
Suppose 2*h = n - 2*h + 6, -5*h + 7 = -n. Find the common denominator of 75/14 and 2742/1320 + n/(-5).
308
Let g = 66407/12 - 5539. Suppose -w - 2*j + 36 = 4, -4*w + 136 = 4*j. What is the common denominator of g and (-2 - (-69)/w)*750/(-9)?
36
Suppose -2*u = -4, -2*c + 3004 = c - u. Let t be c/90 + (-4)/30. Let y = t - 9. What is the lowest common multiple of 20 and y?
20
Let f = 19 - 3. Suppose 0 = 8*m - m - 665. Suppose -7 + m = 4*y. Calculate the smallest common multiple of y and f.
176
Let o = -232007/423912 + -13/3117. Find the common denominator of o and 0 - ((-98)/6 - 2).
408
Suppose 0 = -4*z + j + 37, -j + 22 = 3*z + 4*j. What is the least common multiple of 21 and z?
63
Calculate the lowest common multiple of 30 and 48/15*(-30)/(-8).
60
Let b be (13 + -5)/(-4) + 1 + -1. What is the smallest common multiple of 10 and b + 20/15 - (-64)/6?
10
Let y be 8/12 - 64/(-3). Let c = y + 10. Find the common denominator of -3 + 2 + (-98)/c and 11/12.
48
Suppose 156 + 5 = 7*c. Suppose 4*j + 33 + c = 4*r, -2*r - j = -16. What is the lowest common multiple of r and 10?
10
Let o(y) = 6*y - 5*y - 14*y. Calculate the lowest common multiple of 168/49 - (-2 - (-17)/7) and o(-1).
39
Let s = 21 - 13. What is the least common multiple of s and 54/(-1 + 10) - 0?
24
Let f = -126 + 120. What is the common denominator of (117/9)/(16/f) and 59/8?
8
Let f(a) = -a**3 + 19*a**2 + 42*a + 35. Calculate the smallest common multiple of f(21) and 40.
280
Suppose d = 3*d - 16. Calculate the smallest common multiple of (-9)/(-9)*5 + -4 and d.
8
Let f = -2301163/60 + 38354. What is the common denominator of 55/48 and f?
240
Let i = 210791/10 - 21080. Find the common denominator of 4/(-10) + 682/180 and i.
90
Let t = -1007/29550 + -34/197. What is the common denominator of t and 127/12?
300
Suppose -3*x = 2*x - w - 12, x + 4*w = -6. Suppose -1 = x*z - 17. Calculate the lowest common multiple of z and 32.
32
Let w be -13 - 3 - 1 - 1. Let x be 470/(-62) + w/(-6). Let s = 2603/372 + x. Find the common denominator of 109/18 and s.
36
Calculate the least common multiple of 80 and 48/(-6)*400/(-64).
400
Let m(v) = v**3 - 2*v**2 + v - 3. Let q be m(3). Suppose 0 = 6*s + q + 9. Find the common denominator of -2 + (-117)/30 - s and 11/4.
20
Suppose -4*o = -2*k - 92, -2*k = -0*k - 2*o + 82. What is the common denominator of 111/10 and k/(-198) + (-1029)/(-88)?
40
Suppose n + 5*q - 20 = -4*n, -8 = n - 2*q. Suppose n*f = f - 22. Calculate the smallest common multiple of 4 and f.
44
Suppose 3*y + 10 = y + 4*l, 0 = -4*l. Calculate the common denominator of (y/(-12))/((-36)/(-160) + 0) and 79/21.
189
Let l = -464702/137 + 3392. Let y = l + -3171/1370. What is the common denominator of 1/4 + (-71)/28 and y?
70
Find the common denominator of 55/114 and 29/5*((-5)/4 - -1).
1140
Suppose 2*w + 5*l = 200, 0*l + 168 = 2*w - 3*l. What is the least common multiple of w and 100?
900
Let v be 1 - (-2 - 91/(-1)). Suppose 0 = -51*f + 44*f - 14. Calculate the common denominator of 19/8 and (11/v)/(f/(-284)).
8
Suppose 0 = 4*m - b + 141, 4*m + 66 = 2*m + 2*b. What is the common denominator of -2 and 1 + 284/m*-3?
3
Let n be (-1410)/40 + 2/8. Let j = 43 + n. What is the lowest common multiple of j and (28/(-5))/((-2)/10)?
56
Let s = -2071 + 20729/10. Find the common denominator of 0/1 + (-4)/(-128) and s.
160
Let x(z) be the third derivative of 1/3*z**3 + 0 + z**2 + 1/15*z**5 + 0*z + 1/120*z**6 - 1/8*z**4. What is the lowest common multiple of 12 and x(-4)?
84
Let p = -8 + 4. Let l = 12 + p. Suppose 9*u - 54 - 72 = 0. What is the lowest common multiple of l and u?
56
Let r be 12/54 - 5816/(-1044). Let z = r - 2173/290. What is the common denominator of -31/22 and z?
110
Suppose -2*c - 4*j = -8, 2*j - 5*j = -4*c - 6. Calculate the smallest common multiple of 14 and 18 + c - (-2 - 2).
154
Suppose -z = 5*r - 150, -2*r + 276 = 7*z - 5*z. Calculate the least common multiple of 10 and z.
270
What is the common denominator of (33/473)/(9/40) and -65/27?
1161
Let b = -2973 - -3113. What is the lowest common multiple of b and 14?
140
Let d = -310247/44 - -7051. Let l = -1193/360 + 19/72. What is the common denominator of d and l?
220
Let v = 3/2044 - -103207/10220. Suppose 0 = 9*n - 5*n - 84. What is the common denominator of 272/84*n/(-18) and v?
90
Let w be ((-6)/4)/((-3)/8). Suppose 5*n = 3*x - x + w, 2*n + 4*x - 16 = 0. Calculate the smallest common multiple of n and -11 + (-58)/(-12 - -10).
18
Suppose 67*p + 12*p - 2765 = 0. What is the lowest common multiple of 175 and p?
175
Let n = 4 - 0. What is the least common multiple of ((-4)/((-4)/(-3)))/((-15)/30) and n?
12
Find the common denominator of 29/38 and (8110/(-608))/5 + 50/475.
304
Let s be (-2)/64*(-3 + 249). Let w = 585/176 + s. Calculate the common denominator of -65/9 and w.
99
Let j(b) = b + 4. Suppose -6*p - 5 + 17 = 0. What