 = 111 + -78. Let f = -753/14 - -1637/21. What is the common denominator of f and g?
6
Let a be (3/6)/((-3)/(-108)). Let r be 12/(-298)*(-4)/a. Let m = r + -1247/596. What is the common denominator of 59/2 and m?
12
Find the common denominator of ((-5)/4)/((126/(-120))/(-7)) and 10/9.
9
Suppose 0 = -5*z - 4*t + 66 + 2, -33 = -3*z - 5*t. What is the smallest common multiple of 22 and (z/(-3))/((-18)/27)?
88
Let d be 2 + ((-3)/1)/(-3). Suppose l - d*l = -92. Find the common denominator of ((-18)/8)/((-15)/l) and 49/6.
30
Suppose 5*z + 21 = -4*g, -6 = -3*g + 4*z + 17. Suppose 6*c = -c + 14. Calculate the lowest common multiple of g and c.
2
Suppose 5*s - 2*c - 8 = s, 3*c = -3*s - 12. Suppose 5*m - 43 + 3 = s. Calculate the lowest common multiple of m and 10.
40
Let m(x) be the second derivative of -x**4/12 - x**3/6 + 3*x**2/2 + x. Calculate the least common multiple of m(0) and 15.
15
Let f(b) = 2*b**2 + 4*b + 4. Let k be f(-3). Let h = -31918/7 + 4552. Calculate the common denominator of 2 - ((-17)/k + 1) and h.
70
Suppose -11 = -4*h + 5. Suppose 5*q + 5*x - 30 = 0, -h*q + 5*x + 33 = -0*q. What is the smallest common multiple of (-1 + 2/4)/((-38)/380) and q?
35
Let n = -90717 + 360595/4. Let s = n - -572. Find the common denominator of s and 41/10.
20
Let a = -6 + 10. Let m(t) be the first derivative of t**2 + 3*t - 8. Calculate the smallest common multiple of m(a) and 10.
110
Calculate the common denominator of ((-159)/(-40))/((-18)/15) and (-1)/(-2 + 160/79).
16
Suppose -31 = -4*h + 17. Calculate the smallest common multiple of h and 30.
60
Let l = -14 + 36. Let v(g) = -g**2 - 5*g - 5. Let s be v(-6). Let x = 5 - s. Calculate the smallest common multiple of x and l.
176
What is the smallest common multiple of 10 and ((-18)/4)/((-2)/8)?
90
Let f = -13/4 + -85/4. Find the common denominator of -1 + 3/((-9)/(-68)) and f.
6
Let c = -4 + 8. Suppose 0 = -6*q + 96 - 24. Let y = q - 8. What is the least common multiple of y and c?
4
Let o(u) = u**3 + 12*u**2 + 2*u + 16. Let x be o(-12). Calculate the common denominator of 50 and 166/3*2/x.
6
Calculate the smallest common multiple of 12 and 16*((-6)/(-4)*2 - 2).
48
Let w(p) be the second derivative of -1/20*p**5 + 0 + 3/2*p**2 - 1/3*p**4 + 3*p + 5/6*p**3. Calculate the smallest common multiple of w(-5) and 10.
30
Let n(u) = 3*u + 5. Let l be n(-4). Let v(m) = -3 - 4*m + 2 + 2*m**2 - 3*m**2 - 4*m. What is the lowest common multiple of v(l) and 2?
6
Let x(m) = m**3 + 8*m**2 - 5*m - 2. Let w be x(-9). Let r = w - -56. What is the least common multiple of 22 and r?
198
Suppose 5*x = 16 + 4. What is the lowest common multiple of 22 and x?
44
Calculate the least common multiple of 96/9*(-3)/(-2) and 24.
48
Let u = 102038 + -2856593/28. Let v = -179/7 + u. What is the common denominator of v and (-4)/(-2) - 82/40?
20
Let h(z) = 11*z**2 - z. What is the lowest common multiple of h(1) and 6?
30
Let c = 168 + -152. What is the smallest common multiple of c and 22?
176
Let w(y) = 14*y - 12. Let t be w(8). Let d = 88925/4338 - -2/2169. What is the common denominator of d and t/12*(-3)/11?
22
Let b be (-4)/(-18) - (-8458)/(-1584). Let u = -41/33 - b. Find the common denominator of (-2)/(-5) + (-1522)/180 and u.
72
Let w = 1111/4 - 300. What is the common denominator of w and 77/6?
12
Suppose -2*h - 3*h - 195 = 0. Let c = 67 + h. Calculate the least common multiple of 12 and c.
84
Suppose -3*h + 0*h - 2*f = -12, -2*h - 4*f = 0. Let y = -41 + 61. Suppose 0 = g + 3*g - y. What is the least common multiple of h and g?
30
Let d = -595411/28 - -81273/4. Let n = d - -939. What is the common denominator of 48/7 and n?
7
Let x = 109/46 - 1951/207. Let c = -321071897489/2620 + 122546507. Let n = 6/655 + c. Calculate the common denominator of n and x.
36
Suppose 0 = 5*y + a - 2, 3*y + 2*y - 3*a - 14 = 0. Suppose j + y = 8. Suppose -1 = -4*d + j. Calculate the lowest common multiple of 2 and d.
2
Find the common denominator of (-3)/((-190)/(-4) - (0 + -2)) and -59/21.
231
Let x be (4 - 5)*(-4418)/16. Let b = 567/2 - x. Calculate the common denominator of -1 + (-63)/10 - -1 and b.
40
Let v(q) = 4*q**2 + 4*q + 2. What is the smallest common multiple of v(-3) and 12?
156
Let z(s) = 3*s + 17. Let m be z(-7). Find the common denominator of 119/18 and (46/36)/(m/30).
36
Calculate the common denominator of -46/15 and (0 - -5)/(72/40).
45
Let c(g) = -g - 3. Let u be c(-5). Suppose -3*h + u*h = -62. Suppose 6 = -3*d, -d - h = s - 4*s. What is the lowest common multiple of 20 and s?
20
Let p = 1/305 + -188/1525. Find the common denominator of p and 20/3.
75
Let w = 475 + -8557/18. What is the common denominator of -81/22 and w?
198
Let y = 46019/15598 + 3/709. Calculate the common denominator of y and -151/42.
462
Suppose -3*q + 3*u = -12, 2*q - 4 = -q - u. Calculate the smallest common multiple of 20 and (q/(-7))/(2/(-14)).
20
Let l be 1/(8/(-46996)*-2). Let j(q) = 730*q + 3. Let o be j(-4). Let f = o + l. Calculate the common denominator of -63/22 and f.
44
Let j = 101 + -71. Calculate the smallest common multiple of 30 and j.
30
Calculate the smallest common multiple of (19 - 22)/(2/(56/(-6))) and 6/(-2)*4/(-3).
28
What is the smallest common multiple of 18 and 2/(-1*1/(-4))?
72
Let y be 1/(1 - 182/179). Let u = -1248 - -14479/12. Let v = u - y. Find the common denominator of v and -13/22.
44
Let k be 16/72 + (-1598)/(-18). Calculate the common denominator of -3 - (-1)/(-10)*k and -41/7.
70
Let p = 89/5 + -13/10. Calculate the common denominator of p and -117/14.
14
Calculate the smallest common multiple of 2 and 0 - 9/(18/(-44)).
22
Let c = -34 - -48. What is the lowest common multiple of c and 16 + 0 + (-6)/(-3)?
126
Suppose -12*u + 80 = -4*u. Calculate the smallest common multiple of u and 24.
120
Let a = -248021/41916 + 3/6986. What is the common denominator of a and 55/12?
12
Let b(h) = h**2 - 6*h + 9. Let u be b(7). Suppose 2*x + u = 3*x. Calculate the least common multiple of x and 18.
144
Let j(n) = -124*n**2 + n + 1. Let b be j(-4). Let s = -19837/10 - b. What is the common denominator of -34/3 and s?
30
Suppose 0*m = -m. Suppose 4*a = -m*a + 8. Calculate the common denominator of 11/18 and (-1)/(a + (-392)/194).
18
Let z = 1/970 + -5869/485. What is the common denominator of z and -266*(6/(-2) + 1898/624)?
60
What is the lowest common multiple of (52/(-8) - -4)*-6 and 12?
60
Calculate the common denominator of 29/18 and (-15)/(-6)*22/20.
36
Let c = 3539 + -6843/2. Let n = 22678/193 - c. Let x = 10623/3088 - n. Calculate the common denominator of 27/14 and x.
112
Suppose 2*h = 4 + 2, q = -5*h + 20. Let x = -1 - -6. Suppose -4*v = -v + 5*k - 23, x*k - 11 = -v. What is the lowest common multiple of q and v?
30
Let l = 17 - 9. What is the least common multiple of l and 20?
40
Let a be 2/(-7) + 20/(-28). Let l = -513 + 2017/4. Find the common denominator of l and a - ((-2604)/(-8))/(-7).
4
Let x(v) = 38*v - 3. Let a be x(-3). Let t = a + 229/2. Calculate the common denominator of t and (-11)/2*10/3.
6
Suppose d = 2*d - 4. Let n = 7/981 + 97063/7848. Find the common denominator of 6/d*89/15 and n.
40
Suppose 4*g - 165 = -5*b, 3*b + 93 = 2*g + 2*b. Calculate the smallest common multiple of 5 and g.
45
Let u = 1454586704137801/294158828539026 + 14/11226579213. Let g = u - 2/4367. Calculate the common denominator of g and 57/4.
36
Let j = 149213/52 + -2869. Calculate the common denominator of j and 31/4.
52
Let c = -13 + 25. What is the least common multiple of c and 6?
12
Let n(d) = -d**2 + 18*d - 23. What is the least common multiple of n(15) and 12?
132
Let s(x) = 8*x - 5*x - 3 - 1. Suppose -2*c - 5*d + 23 = -4*c, 3*d - 13 = 2*c. Calculate the smallest common multiple of s(5) and c.
11
Let a(l) = -2*l + 1. Let w be a(-4). Calculate the common denominator of 510/45*w/4 and 39/11.
22
Find the common denominator of 0 - (-1 - (-47)/5) and 10/15 + (4/2)/42.
35
Let y(r) = r**3 + 12*r**2 + 3*r + 52. Suppose -3*h - 2*h + 140 = 0. Calculate the smallest common multiple of y(-12) and h.
112
Let c = -57 + 73. What is the smallest common multiple of c and 24?
48
Suppose 101 = 4*i - j + 31, -j - 16 = -i. Suppose -2*s = -3*t - 11, -3*s - 2*t + 39 = t. What is the lowest common multiple of i and s?
90
Suppose 6*x - 219 - 63 = 0. Find the c