f m and 36/13.
117
Let c be 5 + -2 + 8 + -3. Calculate the common denominator of -3 + c - (-2)/7 and -79/6.
42
Suppose -5*p - 48 = 1367. Let b = 367 - p. Let h = -7729/12 + b. What is the common denominator of h and 85/22?
132
Let p = -18242 + -161. Let r = p - -588943/32. Find the common denominator of r and -75/8.
32
Suppose -4*c = 3*j - 92, -3*j - 3*c + 17 = -70. Suppose 0 = b + 5*b - j. What is the least common multiple of b and 4?
4
Let u be 131/(-78) - 18/(-12). Let o = 1481/429 + u. Find the common denominator of 1/3*(-776)/(-16) and o.
66
Let l = 4 - 1. Suppose l*f = -6*f + 207. Calculate the least common multiple of 1 and (21 - f)*(0 - 4).
8
Let b = -491/7 + 478/7. Let x = -12729 - -23359/2. Let p = 14809/14 + x. Find the common denominator of b and p.
7
Let k be 1/(3/(6 + 3)). Suppose -42 = 4*i - 5*z, -k*i - z = -5*i - 18. What is the smallest common multiple of 12 and (i/(-6))/(3/54)?
24
Let g = -3341 + 40117/12. Suppose -5*n - 19 = 4*c, 0 = 5*n - 2*c + 19 + 24. Calculate the common denominator of g and 1 - n/(-44)*26.
132
Let s = -10 + 12. Let k(z) = -z**2 + 8*z - 4. Let j be k(7). Suppose s*q + q - j*n + 3 = 0, 3 = 5*q - n. Calculate the smallest common multiple of q and 7.
7
What is the common denominator of (-323)/(-120) - (-22 - 5)/(-9) and -51/8?
120
Suppose -3*z = 2*w - 12, 1 - 2 = 4*z - 3*w. Calculate the common denominator of z/3 - (-265)/(-240) and -3*3/(-360)*-66.
80
Let v = 1 + 2. Suppose -v*d - 36 = -2*d. What is the common denominator of 50/d + (-11)/22 and 47?
9
Let m(w) = -4 + 4 - 201*w**2 - 3*w + 202*w**2. Let n be m(-3). What is the smallest common multiple of 6 and n/2 - (-4 - 0)?
78
Let u = -53 + 97. Calculate the least common multiple of 6 and u.
132
Let r(m) = 671*m**2 + 1. Let w be r(1). Suppose -w = -18*f + 2*f. What is the smallest common multiple of 18 and f?
126
Let k = 1123790 - 6722831/6. Let i = k + -3298. What is the common denominator of i and -57/8?
24
Suppose 0 = -h + 4*h + 3*r - 9, 4*h - 3*r = 5. Suppose -9*i - h*i + 308 = 0. What is the least common multiple of 24 and i?
168
Let n(w) = w**2 + 4*w + 6. Let z(v) = -v**2 - 11*v - 2. What is the lowest common multiple of z(-8) and n(-4)?
66
What is the common denominator of (-9960)/(-144)*1/5 and -143/96?
96
Let t = -13955345/126 - -110756. Find the common denominator of t and 19/81.
1134
Calculate the least common multiple of (-255)/(-68)*(-40)/(-6) and 15.
75
Suppose 0 = 4*y + 3*q - 52, 2*y - 2*q - 48 + 36 = 0. Calculate the lowest common multiple of y and 232.
1160
Let b(x) = -x**2 + 8*x - 5. Suppose 3*u + 24 = 8*u - t, 0 = -4*u + 2*t + 18. Calculate the smallest common multiple of b(u) and (9/(-12))/(48/(-640)).
10
Let c = -17 + 9. Let n be c/(-4) - (0 - -8). Calculate the common denominator of n/21 + 645/28 and -97/4.
4
Suppose -4*n + 40 = -3*a - 89, 127 = 4*n - 5*a. Suppose -123 = -5*u - 3*m, -4 + 0 = -4*m. Calculate the lowest common multiple of u and n.
264
Suppose 0 = -q + 2, -2*s + 3*q = 3*s + 6. Suppose -5*a + l + l = -18, 3*a - 3*l - 18 = s. Calculate the smallest common multiple of a and 6.
6
Suppose s - 4*j + 9*j - 42 = 0, -2*j = -4. Calculate the lowest common multiple of 28 and s.
224
Find the common denominator of (-4 - (-120)/28)/((-8)/(-14)) and -47/11.
22
Suppose 2*c + 3*l = -c + 36, -8 = -4*l. What is the least common multiple of (-3 - (-20)/8)*-36 and c?
90
Let l = 89 - 75. Calculate the lowest common multiple of 105 and l.
210
Let o = 42 - 40. Calculate the smallest common multiple of o and (-29)/((-1 + 0)*1).
58
Let c = 37/24 - -259/24. Find the common denominator of -95/42 and c.
42
Suppose 14*d - 18*d - 2*l + 10 = 0, 15 = -5*l. Suppose v + 0*v - 21 = -3*o, -4*o + 3*v = -41. What is the lowest common multiple of d and o?
8
Let z(v) = 29*v. Let k be z(3). Calculate the common denominator of 5421/(-910) - (-6)/10 and 5/10 - k/(-16).
112
What is the lowest common multiple of -3*(-2 - 12/9) and 22?
110
Let m = -188 - -203. What is the lowest common multiple of m and 25?
75
Let k be -1 - ((-112)/(-940) - 1). Let c = 19639/2820 - k. What is the common denominator of 59/22 and c?
132
Suppose 3*t - 7 = 2*t. Let w = 106 - 7. Let n = -92 + w. Calculate the lowest common multiple of n and t.
7
Let t be (398/(-6))/(-1)*-6. Let w = 1207/3 + t. Calculate the common denominator of w and (-4)/(-6) + 125/33.
33
Let z = 381 - 137. Calculate the smallest common multiple of z and 6.
732
Let y be (-5 - 15/(-5)) + -1 + -1. Let w(b) = -b**2 - 10*b - 10. What is the least common multiple of w(y) and 4?
28
Let z = 774 - 82. What is the smallest common multiple of z and 18?
6228
Suppose 2*t + 36 = -5*s, 0*t - 2*t = 2*s + 12. Let v = 22 + s. Suppose 7*w - 28 = v. Calculate the least common multiple of w and 16.
48
Suppose -84 = -4*d - 8*d. Suppose d = -15*u + 16*u. Calculate the smallest common multiple of 8 and u.
56
Let v = 1 + 2. Let y(u) = -2*u - u**v + 0*u**3 + 0*u**2 - 3*u**2 + 2. What is the least common multiple of 1 and y(-3)?
8
Let t = 6 - 5. Let k(p) = 5*p**2 + 16*p + 15. Let y(r) = r**2 + r + 1. Let m(s) = t*k(s) - 3*y(s). What is the lowest common multiple of m(-6) and 10?
30
Let r = 58 + -4468/77. Find the common denominator of 59/504 and r.
5544
Suppose -i + 1 = -5*f + 4, -3*i + 2*f + 4 = 0. Suppose 0 = 8*l - 7*l. Suppose l = -a + 6. What is the least common multiple of a and i?
6
Let o = -151 + 140. Suppose 5*g + 10 = -0*g - 3*q, 0 = -2*g - 4*q - 4. What is the common denominator of o and (g/(-1))/((-16)/(-73))?
8
Calculate the common denominator of 3 + (-12594)/1554 + 35/7 and -17/10.
2590
Let i = -5/3181 + -1078/5385433. What is the common denominator of 48/11 and i?
18623
Let m(a) = -18 + 25 + 10 + a. Let s = 30 + -18. What is the least common multiple of s and m(-11)?
12
Let r = 11 - 26. Let p(n) = -n**3 + 3*n**2 + 4*n + 2. Let c be p(4). Calculate the common denominator of ((-86)/(-22) - c) + 0 and r.
11
Let w = -223 + 353. Suppose 6*c - w = -34. Suppose l + 3*l = x - 26, -l = 2*x - c. What is the least common multiple of 16 and x?
80
Let k = -67 - -132. Let y = 82 - k. What is the lowest common multiple of y and 8?
136
Let a be 3/24 + 581474399969/1110. Let x = 523850818 - a. Let y = -7/888 - x. Find the common denominator of -11/8 and y.
40
Suppose 0 = v + d - 13, -7*v = -3*v - 4*d - 12. Let u be (-4)/(-2*2/v). Calculate the common denominator of (-8)/16 + (-174)/u and -53/10.
20
Let n(b) = 8*b**2 - 21*b + 5. Calculate the lowest common multiple of 160 and n(5).
800
Let n = -9 + 0. Let i(q) be the second derivative of -q**4/12 - 5*q**3/3 - 5*q**2/2 + 14*q. What is the lowest common multiple of i(n) and 8?
8
Suppose -3 - 6 = -3*h. Suppose -h - 42 = -5*u. What is the lowest common multiple of u and -1 + 1/(-2)*-6?
18
Suppose -2*y - 12746 = 2*m, -3*m + 12751 = y - 3*y. Let x be -37*6876/40 - 4. Let h = x - y. Calculate the common denominator of h and 21/2.
10
Let z = 19899/35 + -569. Calculate the common denominator of 75/2 and z.
70
Let l(q) = -q + 16. Let t be l(12). Suppose 0 = -2*h - 0*h + 3*a + 4, 8 = -h + t*a. What is the smallest common multiple of 74 and h?
296
Suppose -5*d + 19 = -3*z, -4*d + 8*d = -z + 5. Calculate the least common multiple of d and 18.
18
Let g(d) = -d**2 + 12*d + 9. Calculate the least common multiple of 22 and g(11).
220
Let j(u) = -u**3 - 32*u**2 + u + 78. What is the least common multiple of j(-32) and 11?
506
Let m(d) = 42*d - 4. Let c be m(4). Let p = 238 - c. Calculate the common denominator of (p/(-20))/((-8)/10) and 47/12.
24
Let l(h) = 3*h - 10. What is the least common multiple of (70/(-12) - -6)/(2/36) and l(7)?
33
Let k = 13722 - 576211/42. Calculate the common denominator of k and -7/82.
1722
What is the lowest common multiple of (-1026)/(-30) - (48/15)/(-4) and 45?
315
Let o = 11071823905853/83395884 + 236/631787. Let w = o + -1991794/15. Let j = w + 477/22. What is the common denominator of 63/4 and j?
20
Let b be 91/(-3)*-3 - 1. What is the common denominator of 0 + (145/b - 0) and 29/8?
72
Suppose -195 = -2*j - 63. Suppose -2*d + 0*d + 2 = 0. Find the common denominator of -77/6 and j*-4*d/(-40).
30
Suppose 0 = -4*n - 3*i - i + 500, -643 = -5*n + i. Calculate the lowest common multiple of n and 128.
128
Let n be (-1798498)/(-483504) + (-9)/21. Let a = -3/5756 - n. What is the common 