4
What is the common denominator of 334/1908 - (-68)/(-306) and 23/8?
424
Let o = 95077/5762 + -2/2881. Find the common denominator of o and -49/2.
2
Find the common denominator of 77/26 and -2 + 4 - 203/(-224).
416
Let w be (2/1)/(-1 + 2). Suppose -w*h = -3*h - 1. What is the common denominator of 41/24 and (-153)/(-30) + 3/h?
120
Let s = -50 + 76. What is the common denominator of 71/9 and (-27030)/(-9360) - ((-4)/s - 0)?
72
Let f = -697 - -708. What is the lowest common multiple of f and (2 + -2 - 0) + 16?
176
Let m = -2391/4 + 332425/556. What is the common denominator of m and 45/11?
1529
Let p = 54 + -94. Find the common denominator of 2/10 + (-327)/p and 1/8.
8
Suppose 0 = 2*b - 14*b. Suppose 2*a + b = 2, 10 = 2*c - 2*a. Calculate the smallest common multiple of 6 and c.
6
Let f = -277 + 3051/11. Let w(y) = -4*y + 9. Let p(z) = -z + 2. Let j(t) = 9*p(t) - 2*w(t). Find the common denominator of j(-3) and f.
11
Let x = -138 - -501. Suppose -902 = -11*y - x. Calculate the lowest common multiple of y and 11.
539
Let f(n) = 2*n**2. Let p be f(-1). Suppose -53 = -5*m - p*k + 6*k, -2*k = 3*m - 23. Calculate the least common multiple of m and 8 - -2 - (-4)/(-2).
72
Let x = 96937/18 + -5377. Find the common denominator of x and -23/198.
198
Let m = -73/12 - -143/60. Find the common denominator of (4 - 1) + 3913/(-387) and m.
90
Let z be (8/6 - -2)/(10/(-30)). Let r(n) = -n**2 - 12*n - 7. Let i be r(-5). Let j = i + z. Calculate the smallest common multiple of j and 18.
18
Let g be (0 - 66)*10/(-20). Calculate the smallest common multiple of g/22*16/3 and 6.
24
Let y = -1/8514 - 192979/42570. What is the common denominator of y and (-26)/(-300)*(-9 - (-11 + 5))?
150
Suppose 127 = -15*m + 457. Suppose 16*n = 18*n - m. Calculate the least common multiple of 6 and n.
66
Let l = 4 - -12. What is the least common multiple of (-1 + 19)*100/75 and l?
48
Let k = -10957/10 + 1089. What is the common denominator of k and 41/59?
590
Suppose -5*d = 4*g + 123, 5*d - d + g + 94 = 0. Let w = d - -29. What is the lowest common multiple of w and 9?
18
Let l = 49888 + -8381147/168. What is the common denominator of l and 93/92?
3864
Let n = 220/441 - -2479751/7056. Let l = -40295/112 + n. Let u = -111/28 - l. What is the common denominator of u and 151/6?
24
Let b = -84354/11 + 7746. Let z be -4 + 3 - (-14158)/(-220). Let x = b + z. Calculate the common denominator of -75/16 and x.
80
Suppose -12*t + 6 = -6. Calculate the common denominator of (-3)/(-60)*138 - (2 + t) and ((-6)/(-10))/((-4)/290).
10
Let h(k) = 5*k**2 + 40*k + 11. What is the least common multiple of 49 and h(-9)?
392
Let t be (3/4)/((-21)/(-28)). Calculate the lowest common multiple of (0/(-4 + t))/(-1) - -2 and 1.
2
Let u = -474 + 492. What is the smallest common multiple of u and 18?
18
Let u(p) be the first derivative of p**3/3 + 6*p**2 + 6*p - 13. Let k be u(-12). Suppose -138 = -0*t - k*t. Calculate the smallest common multiple of t and 8.
184
Let n(i) be the third derivative of i**5/60 - 9*i**3/2 + 33*i**2. Calculate the smallest common multiple of 4 and n(-7).
44
Suppose 3*y - 16 = y. What is the smallest common multiple of y + (0 - (-2 + 5) - -2) and 10?
70
Suppose -18*g + 46*g - 112 = 0. Calculate the lowest common multiple of 296 and g.
296
Calculate the common denominator of (8/(-5) - -2) + 501/110 and 131/114.
1254
Suppose 4*b = 3*z + 11, 0 = -4*b - 0*z - 3*z + 5. Let v = 29 + -9. What is the smallest common multiple of -2 + (-2 + b - -12) and v?
20
Let p = -4381/10 + 437. Let t = p + 7. What is the common denominator of t and 23/7?
70
Suppose 2*z = 32 + 10. Let b = -5 + z. Find the common denominator of -13/2 and 2/b*(-452)/7.
14
Let i = -39/9850 - 1210093/989925. Let c be 9/201*4/(-3). Let g = i - c. Find the common denominator of g and -143/6.
6
Let z(d) = d**2 + 4*d + 1. Let o be z(-3). What is the smallest common multiple of 8 and (o/(-3))/((-6)/(-63))?
56
What is the common denominator of -99/752 and (913/(-498))/((-5)/21)?
3760
Suppose -2*x = -6*x + 24. What is the lowest common multiple of -11 - 68/(-6) - (-106)/6 and x?
18
Suppose 4*w + 10 = 4*u + 7*w, -20 = -3*u + 4*w. Calculate the least common multiple of 90 and u.
180
Find the common denominator of 4 + (6 - (-372)/(-35)) and -14/5.
35
Suppose 14 = 5*b - 26. Let d(n) = 3*n**2 - 10*n + 1. Calculate the least common multiple of b and d(4).
72
Let m be -2124 + -2 + 2 + 1. Let z = m + 12613/6. Calculate the common denominator of -3*7/(-84)*95 and z.
12
What is the common denominator of -7 + (13/(-2))/(35/(-105)) and -71/1936?
1936
Let p be 1*(-4 + 40) + -1. Suppose -3*z + 5*k + 25 + 50 = 0, -75 = -3*z - 3*k. Suppose -5*a - z = -p. What is the smallest common multiple of 9 and a?
18
Let v(x) = 5*x**2 - 3*x - 4. What is the least common multiple of 40 and v(3)?
160
Let c be 322/36 + 4/18. Let x = -20829607/66 - -315609. Let a = x - c. What is the common denominator of -2/5 and a?
55
Suppose -z + 4 = -5*z. Let q = 15 - z. Suppose 0 = -2*u + 40 - q. What is the smallest common multiple of u and 8?
24
Let n = -3918/203 - 53909/15834. Let w = -553/13 - n. Calculate the common denominator of w and 5/7.
42
Suppose n + 2*q = -0*q, -2*n = -5*q - 27. Let d(j) = 2*j**2 - 8*j - 2. Calculate the lowest common multiple of d(7) and n.
120
Let l = -258259 - -766247/3. Let a = l - -84967/30. What is the common denominator of 4/11 and a?
110
Suppose 0*o = -4*o. Let k be (-11)/66 + 7450/(-12). Let v = k - -6257/10. What is the common denominator of v and o?
10
Let w = 1250 + -4967/4. Calculate the common denominator of ((-3)/(-6))/((-4)/59) and w.
8
Suppose -3*z + z = -4, 3*x = 4*z + 2023. Find the common denominator of 35/6 and (-1)/7 - (x/14 + -1).
6
Let m be 6/(-4) - 4548346/(-1251340). Let l = -3/8455 - m. Let b = l - 1141/592. What is the common denominator of 145/12 and b?
48
Let q(t) = -t**2 - 7*t + 197. What is the smallest common multiple of 60 and q(-17)?
540
Let v = 11890/63 + -1346/7. What is the common denominator of -4*(-2)/22*-5 and v?
99
Let i = -1254 - -807. Let d = -6263/14 - i. What is the common denominator of 143/48 and d?
336
Let z = 532/87 - 75/232. Let q = -8834 + 132454/15. What is the common denominator of q and z?
120
Let b be (-8)/64*40/(-822). Let y = -36955/5754 - b. Calculate the common denominator of 24 and y.
7
Find the common denominator of (2/6)/(2/(-153)) and 4 + 42/(-10) + (804/740)/3.
74
Let g be (-1*3)/((-222)/48 + 5). What is the smallest common multiple of 12 and (-12)/8 + (-92)/g?
60
Let a(p) = -p**2 + 3*p - 3. Let b be a(3). Calculate the common denominator of b - -2 - (-38)/(-11) and 47/42 + 5/30.
77
Suppose -89 + 5 = -4*y. What is the lowest common multiple of (-220)/990 - (-436)/18 and y?
168
Let k = 18 - -42. Suppose -9*d + k = -6*d. Find the common denominator of -68/3 and (123/d)/((-2)/4).
30
Find the common denominator of 113/342 and 0/37 + (-83)/6.
342
Let x = 208661/72 - 2898. Find the common denominator of -5/16 and x.
144
Find the common denominator of 31/2 and 2070/20*-4*4/(-96).
4
Suppose -q + 8 = 3*q. Suppose -2 = -q*i - s, -i + 4 = -4*s + 3. Suppose 4*j - 11 = 2*u + i, -j + 5 = -u. What is the smallest common multiple of j and 3?
3
Let u(y) = 2*y + 2. Let z(d) = -d - 1. Let k(c) = -2*u(c) - 5*z(c). Suppose 11*o = 7*o + 24. What is the lowest common multiple of o and k(2)?
6
Suppose 3*z - 14*z = -242. What is the smallest common multiple of 44 and z?
44
Let w(k) = -k**2 + 26*k. What is the smallest common multiple of 56 and w(22)?
616
What is the smallest common multiple of 3 and 4/32 + (-760)/(-64)?
12
Suppose 4*i - 9 + 17 = 0, 0 = 2*l - 2*i - 76. Calculate the lowest common multiple of 84 and l.
252
Calculate the smallest common multiple of 18 + 4 + -1*2 and (-6739)/(-879) + 5/(-3).
60
Calculate the smallest common multiple of 353 and (9/27*(3 + 0))/1.
353
Suppose 26*z - 102 = 24*z. Calculate the least common multiple of 141 and z.
2397
Suppose -284 = -6*f - 158. What is the smallest common multiple of 3 and f?
21
Suppose 15*h = 16*h - 110. Let r = h + -70. Calculate the least common multiple of r and 11.
440
Let x = -183 + 201. What is the lowest common multiple of x and 16?
144
Let p = 30638549/21685 - -75/8674. Let c = 1415 - p. What is the common denominator of c and 182/(-936)*35