f (j/528)/((-4)/30) and 37/12.
96
Let a = -8884129/1096 + 8106. Find the common denominator of -89/2 and a.
1096
Let v = 182823/34277 + -1098/227. Let o = 14651/1208 + v. Calculate the common denominator of o and -69/10.
40
Suppose -5 = -z - 3. Suppose 3*f = 11 - z. What is the smallest common multiple of f and 4?
12
Let q = 10 - 7. Let p(r) = 5*r - 4. Let j be p(q). What is the common denominator of -89/12 and 53/110 + j/55?
132
Let k be 259/(-2) + 3 + (-21)/6. Calculate the common denominator of -103/6 and (5/(-75))/(4/k).
6
Suppose 0 = k - 47 + 17. Let r be (40/k)/((-1)/(-3)). Suppose 8 - 1 = -a + r*f, 53 = 5*a + 2*f. Calculate the least common multiple of a and 6.
18
Let o be -2 - 0 - 24/(-4). Suppose -4*n + 0 = -4*h - 4, o*h - 3*n = 0. Suppose -l + h = 3*l - 5*g, l = g + 1. Calculate the smallest common multiple of 4 and l.
4
Suppose 2*u + 3*s - 27 = 0, 4*u + 0*s - 51 = -5*s. Let f(q) = 6*q - 18. Calculate the smallest common multiple of u and f(7).
72
Let o be (-1 - -3)*(-184)/(-14). Let t = -1238 - -17315/14. Let a = o - t. What is the common denominator of a and -43/7?
14
What is the common denominator of (-23)/(-92) - 1/((-24)/(-142)) and -69/56?
168
What is the lowest common multiple of 140 and 1166/(-318)*(-4)/(12/315)?
1540
Let z = 18 + -30. Let n = z - -12. Suppose 4*b - 3*b - 18 = n. Calculate the lowest common multiple of b and 10.
90
Suppose 78 = -x + 4*x. Suppose 0 = 2*u + u - 5*q - 66, 5*q = -u + 22. What is the lowest common multiple of x and u?
286
Let h(d) = -2*d - 12. Let a be h(-5). Let u(r) = 465*r**2 + 2*r - 2. Let f be u(a). Find the common denominator of 63/2 and (1/6)/((-102)/f).
34
Let o(w) = 6*w**3 - 2*w**2 - 14*w + 38. What is the smallest common multiple of o(3) and 10?
140
Let o = 68 - 76. Calculate the smallest common multiple of o/(-28) + 480/35 and 7*(0 + -1 + 3).
14
Calculate the common denominator of 5 + 381/72 + -6 and -69/32.
96
Suppose 2*q + 26 = 5*h + 9, 7 = -2*q + 3*h. Calculate the smallest common multiple of 12 and q.
12
Let r(w) = -2*w**2 - 19*w - 6. Let p be r(-9). Calculate the common denominator of 17/12 and (875/21)/(p + 1 - 2).
12
Let w = 154013/60 - 5133/2. What is the common denominator of 53/138 and w?
1380
Let c(b) = b**2 + 2*b + 92. Calculate the smallest common multiple of 5 and c(-13).
235
Let p = 29 - 25. Find the common denominator of 4 - (p - 87/60) and -7/6.
60
Let s = 4488 - 4456. Let t = 11 - 6. What is the least common multiple of s and t?
160
Suppose -30 = -5*v - 4*j, 2*v - 6*j - 12 = -2*j. Suppose -i - 33 = -v. What is the common denominator of -52/3 and i?
3
Let o = -105 + 123. What is the least common multiple of 30 and o?
90
What is the lowest common multiple of 142 and 506/115 + 2/(-5)?
284
Let q = 9320276/111 + -83967. Find the common denominator of 46/15 and q.
555
Let k(v) = 2*v + 12. Let b be k(-5). Let d = 0 + b. What is the least common multiple of 7 and 196/24 + d/(-12)?
56
Suppose -5*s + 286 = 111. Find the common denominator of -53/16 and (-50)/4*(-10)/s.
112
Suppose -d + 18 = -5*x, 3*d - 4*x - 11 - 10 = 0. Calculate the least common multiple of (-2)/8 - (-25)/4 and d.
6
Let l = -990689/40 + 24769. Calculate the common denominator of l and 35/72.
360
Suppose 400 = 38*b - 33*b. Let n = -4779533/84 + 56898. What is the common denominator of n and (-243)/b + 6/10?
336
Let a = -21 - -27. Calculate the lowest common multiple of 3/(-7) + 118/14 and a.
24
Suppose -3*h - 73 = -2*o, 64*o + 151 = 69*o + 3*h. What is the least common multiple of o and 212?
1696
Find the common denominator of -194*(-9)/(-72) + (5 - 5 - -7) and (-62)/(-10)*(-1)/(-8).
40
What is the smallest common multiple of (-662)/(-11) + 6/(-33) and 48?
240
Suppose 0 = -h - 6*h + 182. Let f = 36 - h. Calculate the least common multiple of 7 and f.
70
What is the common denominator of ((-175)/20 + 6)*-1 and 16/7?
28
Suppose -3*i + i = 24. Let b be ((-8)/6)/(6/18). Calculate the common denominator of 49/4 and b - -3 - 134/i.
12
Suppose 113 = -3*x + 149. Calculate the least common multiple of 9 and x.
36
Let x = -6270 - -1774402/283. Let q be (-2)/9 + (-173276)/(-163008). Let j = q + x. Calculate the common denominator of j and -61/8.
16
Let d(x) = 3*x**3 - x + 1. Let m(k) = k**2 - 20*k + 30. Calculate the smallest common multiple of m(19) and d(1).
33
Find the common denominator of -37/102 and ((-126)/2499)/((-80)/35).
408
Suppose -5*j + 2*j = -5*t + 110, -5*j = -3*t + 210. Find the common denominator of (-1 + j/(-12))*-14 and (((-2)/(-6))/1)/(160/(-6360)).
4
Let o = 38 + -19. Calculate the least common multiple of o and -4 + 5/((-20)/(-16)) + 7.
133
Let b(c) = 11*c + 37. Calculate the least common multiple of b(-3) and 188.
188
Let z = 9/21034 + 964495/7172594. Find the common denominator of 7/31 and z.
341
Let d(m) = -63*m**3 + 3*m**2 + 3*m - 4. Let p be d(-3). Let h = p + -3499/2. Calculate the common denominator of h and -95/2.
2
Let k = -4058/45 + 819/10. Find the common denominator of 47/74 and k.
666
Let i(w) = -8*w. Let b(s) = -s + 2. Let d be b(3). Suppose 0*n - 5 = -2*g - 3*n, -3*g + 15 = -3*n. What is the least common multiple of g and i(d)?
8
Let m = 1931 - 1915. Let y(z) = 2*z**2 - z - 2. Calculate the smallest common multiple of y(-4) and m.
272
Let z = 333829 - 6680507/20. Let t = 189181/960 + z. Calculate the common denominator of 79/6 and t.
192
Let k be (-3)/(0 + 3)*(20 + -4). Let r(b) = -2*b**2 - 35*b - 46. Let h = 3 + 7. What is the least common multiple of h and r(k)?
10
Let t(r) = r + 6. Let d = -830 + 866. What is the smallest common multiple of d and t(0)?
36
Let y = 719/206 + -7/2. Let s be 16/28 + (-120950)/(-2884). Let g = s + y. Calculate the common denominator of -5/2 and g.
2
Let o(t) = t**2 + 8*t - 15. Let l be o(-13). Find the common denominator of -45/4 and 1 + (-20)/176*l - -3.
44
Let w(k) = k**2 + 36*k - 351. Find the common denominator of 0/(-1) - 22/(-14) and w(8).
7
Let g = -126500/21 + 6026. What is the common denominator of (1/(-5))/(3/73) and g?
105
Suppose 5*c - 1264 = -o, 9*o - 1017 = -4*c + 14*o. What is the smallest common multiple of c and 161?
1771
Let y = -40 + 30. Calculate the common denominator of ((-236)/100)/(4/y) and 3/4*(-51)/(-18).
40
Let d be (2/(-4))/((-11)/(-22)). Let x be -1*(-2 + (d - -1)). Suppose 0*w = w + 3*u + 13, -2*w - x*u = 6. Calculate the smallest common multiple of 8 and w.
8
Suppose -3*g - 1 = -16. Suppose -a = 2*a - 3*w - 15, w = g*a - 13. Suppose 5*u - 12 = a*u, -5*t + 5*u + 60 = 0. What is the least common multiple of 10 and t?
80
Let u = -82201/9384 - -610/69. Calculate the common denominator of 63/88 and u.
1496
What is the common denominator of (-7)/(-4)*(50 - 60) and (-2)/5 - (-1592)/240?
30
Let w be 15*((-38)/30457)/((-18)/14). Let g = -70661/6870 - w. What is the common denominator of g and 49/11?
110
Calculate the smallest common multiple of 20 and 4/11 + (-1413126)/(-1089).
12980
Let m = 46766/27 - 1731. What is the common denominator of 17/39 and m?
351
Let g(d) = -d**3 - 3*d**2 + 4*d + 3. Let u be g(-4). Suppose -y - 4 + 7 = 3*m, -y + 33 = -u*m. Let n = 25 + -13. What is the lowest common multiple of n and y?
36
Let k = -168 - -541. Let r be ((-1082)/5)/(3/5). Let y = k + r. Find the common denominator of 40/11 and y.
33
Let c be 0 - (11770/(-808) + 1). Let m = c - 32/101. Let l = 35432 - 141631/4. Calculate the common denominator of m and l.
4
Let n = -433 - -589. What is the smallest common multiple of 24 and n?
312
Let m be 6/671*8/60. Let n = 15551/3355 + m. Calculate the common denominator of 49/(-3*10/(-24)*-4) and n.
55
Let d(b) = b**3 - 13*b**2 + 3*b - 4. Let x be d(13). What is the common denominator of -3 + 3 - 39/(-18) and (1/x)/((-4)/970)?
42
What is the lowest common multiple of (-119)/(-14) + 2/4 and 2/(-3) + 44/12?
9
Let n = -29 + 41. Suppose -a = -3*q + 70, 56 = -0*q + 2*q - 3*a. What is the lowest common multiple of q and n?
132
Let f be -1 - 1 - (-960)/6. Suppose 4*p - 38 = n - 2*n, -4*p + f = 5*n. What is the least common multiple of 24 and n?
120
Let t = -246667/13098 - 2/2183. Calculate the common denominator of t and -71/262.
786
Let w be (-3)/((-10)/(-6) - 2). Let a = -1 + w. Suppose -c + a = -0*c - 2*q, 3*c = -3*q + 33. What is the smallest common multiple of 6 and c?
30
Suppose 43 = -2*x + 3. What