43 + -26443/9. Find the common denominator of b and a.
27
Let n = -687 + 693. What is the lowest common multiple of n and 92?
276
Suppose 4*n - 3*n = f + 14, -5*f - n = 94. Calculate the common denominator of 74/105 - f/90 and 47/27.
189
Let s = 19 + -42. Let y = s + 37. What is the smallest common multiple of y and 4?
28
Let b(z) = -z**3 - 22*z**2 + 47*z - 24. Let p be b(-24). What is the common denominator of p - (100/36 - -1)/(-4) and -29/30?
90
Let a(l) = 3*l**2 - 24*l - 123. Calculate the smallest common multiple of 215 and a(-6).
645
Suppose -38*x - 3 = -41*x. Let b(u) = 2*u**2 + u. Calculate the smallest common multiple of b(x) and 6.
6
Let b(q) = 2*q**2 - 2*q - 21393. Let n be b(0). Let d = -427747/20 - n. Calculate the common denominator of d and -81/14.
140
Suppose g - 1 - 2 = 0. Calculate the common denominator of ((-404)/18)/(16/6) and (-105)/(-14)*11/g.
12
Let a be 9/3 + 86*(-1)/2. Let n = 50 + a. What is the least common multiple of (-26)/(-6) + (-2)/(-3) and n?
10
Suppose -3*j + 6 = -3. Suppose 4 - 16 = -j*m. Suppose m*s = -8 + 40. Calculate the smallest common multiple of s and 8.
8
Let q(m) = -m + 20. Let z(p) be the third derivative of -p**4/6 + p**3 + 10*p**2. Calculate the least common multiple of q(0) and z(-4).
220
Let x(n) = -73*n**3 - 2*n + 2. Let b be 2 + (0 - (-1)/(-1)). Let p be x(b). Find the common denominator of 149/18 and -1 - p/(-80)*-2.
360
Suppose 2*w - 255 = -15*w. What is the least common multiple of 30 and w?
30
What is the common denominator of ((-37210)/(-3100) + -12)*1*77 and -121/20?
620
Suppose -3*g = 9, 9*w - 36 = 6*w + 5*g. What is the lowest common multiple of 94 and w?
658
Suppose 0 = -5*w - 4*j + 494, -4*j = 4*w + 133 - 525. What is the smallest common multiple of 6 and w?
102
Let s = -2531/2 - -1290. Calculate the common denominator of s and (-86)/(-4) + (-13)/4 + 2.
4
Let l be (20/(-12))/(1/(-699)). Let w = l + -2281/2. Calculate the common denominator of 11/7 and w.
14
Suppose -97*j + 137*j = 3120. What is the least common multiple of 66 and j?
858
Let k = -9005/6 - -1505. What is the common denominator of 139/54 and k?
54
Let l(f) = 41*f - 173. Calculate the smallest common multiple of 11 and l(5).
352
Suppose -3*o - 5 - 1 = 3*n, -3*n - o - 16 = 0. Let u = 17 + n. Let g(x) = -x + 9. Calculate the least common multiple of u and g(0).
90
Suppose 2 - 22 = -5*m. Suppose 0 = 16*q - 6*q - 180. What is the lowest common multiple of q and m?
36
Let h = 1163827 - 6967693/6. Let q = -2538 + h. Calculate the common denominator of -67/12 and q.
12
Suppose -d = -7*d + 102. Suppose -20 = 5*l, 5*l = -s - 1 - d. Calculate the smallest common multiple of 106 and s.
106
Let k(n) = 24*n - 81. Let r be k(9). Let q = -319389 - -5746565/18. Let i = r + q. What is the common denominator of 97/12 and i?
36
Calculate the common denominator of (-1 - -72)/(50 - -1) and (-13 + (-350)/(-25))/((-7)/23).
357
Let p = 51 + -47. Let z(n) = -2*n**3 - 2*n**2 - 3*n - 2. What is the lowest common multiple of p and z(-2)?
12
Suppose -4 = k + 2. Let o(b) = 2*b + 14. What is the lowest common multiple of o(k) and 1?
2
Suppose 3*i - 130 = -2*g, 4*i - 143 = -5*g + 35. What is the smallest common multiple of 42 and i?
42
Let j(w) be the first derivative of -5*w**4/2 - w**2/2 - w + 11. Find the common denominator of -56/11 and j(-1).
11
Let b(d) = 179*d**2 - d - 5. Let q be b(4). Let x be q/55 - 6/(-21). Let o = -683/14 + x. Calculate the common denominator of o and 77/8.
88
Let o(y) = 17*y**2 - 3*y - 4. Let s be o(-1). Suppose 4 = l - s. What is the smallest common multiple of l and 122?
1220
Suppose 137 = 4*u - 39. Calculate the common denominator of ((-82)/u - -2)/3 and -41/2.
22
Let o = -10 - -43/5. Calculate the common denominator of o and 38/29.
145
Let m = -5557/4245 + 12/283. Calculate the common denominator of -103/18 and m.
90
Let j = 14 + -6. Calculate the smallest common multiple of ((-8)/6)/(-1)*(-18)/(-12) and j.
8
Let n = -2062/7 + 11399/42. Find the common denominator of -143/108 and n.
108
Suppose 2*i - 20 = 52. Calculate the smallest common multiple of 12 and i.
36
Suppose -1 = -2*m + 3. Suppose -w + m*d - 16 = -2*w, 0 = -2*d. What is the smallest common multiple of (11 - 145/20)*(-16)/(-3) and w?
80
Suppose 0 = -2*q + 5*k + 228, -532 = -2*q - 3*q + 3*k. What is the least common multiple of 26 and q?
104
Let a = -35 - -83. Suppose a - 164 = -4*g. Let x = g - 50. Find the common denominator of -43/9 and x.
9
Let a be 8727/(-936) + (-2)/(-6). Let o = a - -21/13. What is the common denominator of -71/16 and o?
16
Let a = 64 - 47. Find the common denominator of a and 1/4 + 211/20 + 0.
5
Suppose 5*z - 96 = -36. Let k be 1 + (-6)/5 + (-408)/(-15). What is the lowest common multiple of 6/k*-3 + 38/3 and z?
12
Suppose -3*b = b - 1344. Suppose 10*z - 1 = 9*z. Calculate the common denominator of 1057/b + z/(-3) and 97/18.
144
Suppose -2*q + 4*j = -52, 0 = 2*q + q + 4*j - 88. Let x = -146 - -158. Calculate the lowest common multiple of q and x.
84
Let d = 13 - -5. Let l(s) be the second derivative of 5*s**3/3 - 14*s**2 - 29*s. What is the lowest common multiple of d and l(5)?
198
What is the least common multiple of (-23)/(-3) + 16/(-24) and 72?
504
Let h be 9/18 - (-86)/4. Suppose 0 = 5*x - 2*o - h, -x - 2*o + 20 = x. Suppose 4*j = 2*j + x. What is the least common multiple of 4 and j?
12
Let f(m) = m**3 + m**2 - 8*m - 3. Calculate the smallest common multiple of f(3) and 201.
603
Let o be 6/3 + (-109555)/4924. Let n = o + -1/1231. Find the common denominator of -7/16 and n.
16
Suppose -2*m + 87 = 3*w - 18080, -9076 = -m - 4*w. Let r = m + -199873/22. What is the common denominator of -65/16 and r?
176
Let q(v) = 2*v**2 - 4*v + 2. Let h be q(3). Let t = 168 + -156. What is the lowest common multiple of (h/5)/(1/5) and t?
24
Let p = 27 + -13. Let b = -48 + 50. Suppose -d + 5*h + 92 = 3*d, d - b*h = 26. Calculate the smallest common multiple of p and d.
126
Let h = -1699/510 + -1/510. Calculate the common denominator of (6/72)/(3/258) and h.
6
What is the common denominator of 2 + 2/(-9) + (-46)/21 and 17/27?
189
What is the smallest common multiple of ((-444)/370)/((-6)/320) and 80?
320
Let g = 9 - 16. What is the smallest common multiple of ((-480)/(-108))/(6/27) and (-6)/(-21) - 124/g?
180
Let w(t) be the first derivative of 4*t**2 + t - 6. Calculate the least common multiple of w(1) and 18.
18
Let k = 298 - 6199/21. Calculate the common denominator of k and 43/24.
168
Let x = 82 + -87. Let y = -43181/1016 + 1/1016. Find the common denominator of 37/x*(8 + (-88)/16) and y.
2
Let g = -74 + 48. Suppose 26*m + 1095 = -153. Let j = g - m. Calculate the lowest common multiple of j and 4.
44
Let w(g) = g**3 + 6*g**2 + 4*g - 2. Let x be w(-4). Let s = x + -18. Calculate the common denominator of (-156)/112 + (-3)/s and 41/8.
56
Let y = -1769 - -2105. Calculate the lowest common multiple of 16 and y.
336
Let o = 1046 - 1040. What is the smallest common multiple of o and 254?
762
Let u be (1 + 8)*17/(-51). What is the smallest common multiple of 48/(-4)*2/(-3) and ((-22)/6 - u)*-3?
8
Let p = 956833/108 + -8859. What is the common denominator of p and -13/189?
756
Let h be ((-39931)/(-5))/(98/35). Let q be -1898*(-12)/(-8)*-1. Let m = h - q. Calculate the common denominator of m and 47/16.
112
Let x(i) = -i**2 + 8*i - 7. Let h(q) = -q**2 + 5*q - 2. Suppose -3*w - l + 8 = 0, 5*w + l = 5*l + 19. Calculate the least common multiple of x(5) and h(w).
8
Let m = 10 - 2. What is the common denominator of 103/55*20/m and -47/14?
154
Let y(m) = 3*m**2 + 4*m - 9. Calculate the least common multiple of y(3) and 5.
30
Let t be 6/14 - 9/21. Let f(q) = -q**2 - 9*q - 9. Calculate the least common multiple of (t - (-5)/(-5))*-5 and f(-6).
45
Suppose 0 = -3*g - 12, q - g - 5 = -2*g. Let u(i) = i**3 - 8*i**2 - 7*i - 8. What is the least common multiple of u(q) and 18?
90
Let r = 147 + -131. What is the smallest common multiple of 12 and r?
48
Let z(v) = -8*v - 6. Let m be z(-7). Let t = 77 - m. Let d = t - 17. Calculate the least common multiple of d and 6.
30
Let h = -584 - -694. Calculate the smallest common multiple of h and 530.
5830
Let i be -7*(33/21 + -2). Suppose -i*g + 4 = 1. Suppose 3*x - 3 = -2*f + 2*x, -3*x - 1 = -4*f. What is the smallest