inator of d/(-96) - (-1)/(-2) and 27/4.
12
Suppose 44*a = 49*a - 3*x - 905, 2*a - 371 = 3*x. Calculate the least common multiple of 14 and a.
1246
Let y(f) = -f**2 - 3*f + 5. Let o be y(0). Let r(d) = 5*d**2 - 5*d - 4. What is the smallest common multiple of 8 and r(o)?
96
Let o(h) = -h**3 + 9*h**2 + 2*h - 14. Let r be o(9). Suppose 28 = z + 2*k, -r*z - z - k = -95. Calculate the least common multiple of z and 14.
126
Calculate the common denominator of 1/39 and (-206)/(-24) - (-28)/(-56).
156
Let f = 12 + -17. Let q be (6/f)/(21/(-70)). Let u = q + 3. What is the lowest common multiple of 11 and u?
77
Suppose 2*l + l + 4*u = -443, -4*l = 2*u + 584. Calculate the common denominator of 81/10 and (-1 - -4)*l/70.
70
Suppose -x = 3*x. Find the common denominator of 69/2 and -4 + x + 18/(-12).
2
Let k = 35 + -32. Calculate the smallest common multiple of 26 - 2 - (k - 1) and 0 + 0 - 10*-1.
110
Let r = -32386/3115 + -2/623. Calculate the common denominator of r and -40/3.
15
Let m be (-6)/4*(-20)/6. Calculate the least common multiple of 30/(-4)*(-2 + 6/(-9)) and 1/((m/(-2))/(-5)).
20
Let d(r) = r**3 + 3*r**2 - 4*r + 4. Let l(i) = -4*i - 2. Let p be l(2). Calculate the lowest common multiple of 4/(-8)*(p + -2) and d(-4).
12
Let a(r) = -2*r - 12. Suppose u + 5*w = 8*w + 21, -u - 2*w = -36. Calculate the lowest common multiple of u and a(-12).
60
Let b = -2631/8 + 23789/72. Let h = 1948061/1360612 - -2/30923. Calculate the common denominator of h and b.
396
Let t = 13/72 + 51/8. Calculate the common denominator of 144/6*12/(-27) and t.
9
Let m be (45/2)/(2/4). Let f be 38445/m + (-2)/6. Let c = 1637/2 - f. Find the common denominator of c and 8/11.
22
Let s = -1123/4 + 1723/6. Find the common denominator of s and 1 - ((-665)/100)/(-1).
60
Suppose -77 + 89 = -u. Let f be -3 + 1 - 0 - 0. What is the least common multiple of (u/(-2) - f) + -1 and 11?
77
Find the common denominator of -107/14 and (-5)/(-400)*-4*-142.
70
Let q = -1 - -5. Let a(w) = 3*w**2 - 4*w - 1. Suppose 4*u + 4*r = -8, -u + 5 = 4*u + 2*r. Calculate the smallest common multiple of a(u) and q.
28
Let h = -591617/37 + 15991. Calculate the common denominator of -45/37 and h.
37
Let l(q) = -q**2 - 4*q + 5. Let w be l(-5). Suppose w = -5*d - 10. What is the common denominator of 62/9 and d/(16/(-228)) + 4?
18
Let r(p) = -2*p + 202. What is the smallest common multiple of r(45) and 224?
224
Let g = -266 + 356. What is the smallest common multiple of 6 and g?
90
Calculate the smallest common multiple of 2 + -1 - 0*(-1)/3 and 3.
3
Let n = 2316865/136 + -17036. Calculate the common denominator of n and -31/170.
680
Let v = -184900/11 + 820286/55. Let t = v + 407232/215. What is the common denominator of -149/6 and t?
258
Let z(a) = 7*a**3 - a**2 + a - 1. Let x be z(1). Suppose o + 100 = x*o. What is the least common multiple of 6 and o/2 - -3 - -1?
42
Let m be ((-8)/12)/(7/5820). Let z = -559 - m. Find the common denominator of z and 87/16.
112
Suppose 5*y - 4*j - 8 = 48, 28 = 2*y - 3*j. What is the smallest common multiple of y and 27?
216
Let x be ((-4)/(-5))/(10/(-25)). Let t = 64 + -22. Calculate the lowest common multiple of 5 and t/(-3)*1/x.
35
Let a = -292331/306 + 2866/3. Let i = a - -1453/153. Find the common denominator of i and (-6)/20*(-16)/3.
10
Let q(p) = -3*p + 144. Let g(d) = -8*d + 432. Let z(y) = -4*g(y) + 11*q(y). Let f be z(0). Calculate the common denominator of (404/f - -2)*10 and -23/10.
90
Let j(n) = -n**3 - 7*n**2 - 7*n + 8. Suppose -426 = 4*b + 582. Let u = -232 - b. What is the smallest common multiple of u and j(-6)?
140
Let r = 2 + 0. What is the common denominator of (-188)/16 + (-5)/(-20) and 17/(-6) + r + -2?
6
Let v(u) = -2*u - 2. Let o be v(-4). Suppose 0 = z - o + 20. Let q = 1 - z. What is the lowest common multiple of q and 9?
45
Let d = 12 - -4. Suppose 3*g - g = -v - 3, -2*v + 2*g = -6. Suppose -5*x + v = -39. What is the lowest common multiple of d and x?
16
Let t(d) = d**3 + 11*d**2 - 2*d - 12. Let j be t(-11). What is the lowest common multiple of 1 - 0 - 4 - (-50)/j and 3?
6
Suppose 0 = -4*d - 4*l - 8, -d - l + 2 = 2*l. Let b(f) = f**3 + 3*f**2 - 6*f - 4. Calculate the least common multiple of 8 and b(d).
8
Let g(j) = j - 2. What is the least common multiple of g(11) and (2*20/(-24))/(15/(-27))?
9
Let r = -1490/819 + 8/63. What is the common denominator of -38/9 and r?
117
Let y be (-11 - (0 - -1)) + 5. Let o(p) = -p + 1. What is the smallest common multiple of 16 and o(y)?
16
Suppose -4*s + 28 = -2*i - 2, 5*i + 25 = 5*s. Let a(j) = -j**3 + 2*j**2 - j - 20. Let n be a(0). Calculate the least common multiple of s and (1 - 6)*24/n.
30
What is the common denominator of -97/24 and (1/(-80))/((-56)/(-5110))?
192
Let u = 1658/5 - 333. What is the common denominator of u and (48/(-5))/(-2) - 1?
5
Let n = -46/97 - -2549/2716. Let h = -7473 - -104523/14. What is the common denominator of n and h?
28
Let j = -418/7 - -6499/112. Let v = -1/832 + 18101/4160. What is the common denominator of j and v?
80
Let w be 335/4 + (-16)/(-64). Let u = 179/2 - w. What is the common denominator of u and -5/6?
6
Suppose -4*t = 41*t - 90. Calculate the smallest common multiple of 10 and t.
10
Let i(j) = j**3 - 5*j**2 - j - 8. Suppose -9*d = -12*d + 168. Let s = d - 48. What is the least common multiple of i(6) and s?
88
Let k be 2 + -4 + (-15)/(-3). Suppose -d = 2*d - k. Suppose -7 = z - 2*z. Calculate the smallest common multiple of z and d.
7
Let i = 14 - 16. Let n be (5*(-3 - i))/(-1). Find the common denominator of 31/5 and n*8/20 + -41.
5
Let g = 92 - 56. Suppose -2*j + 4*j = -4*b + 24, 0 = -5*b - j + g. Calculate the smallest common multiple of 0 - -6 - (-5 + 6 + 2) and b.
24
Let c = 1/781 - -1629/3124. What is the common denominator of -115/28 and c?
308
Let d(k) = -k + 6. Let s be d(-6). What is the least common multiple of (s/7)/(4/28) and 10?
60
Let c be ((80/(-12))/5)/(2/(-192)). Suppose 3*p - c - 19 = 0. What is the lowest common multiple of 1 and p?
49
Calculate the lowest common multiple of 84/(-105)*(-1 + -3 - 406) and 8.
328
Calculate the common denominator of -65/4 and ((-817)/152 - (-2)/4) + -3.
8
Suppose -4*x - 12 = -84. Let z(n) = 17*n - 55. What is the lowest common multiple of x and z(5)?
90
Suppose 56 = 4*k + 5*c, 419*c - 56 = -4*k + 418*c. Suppose 5*h = 2*f - 27, 5*f + 4*h + 15 = -0. Calculate the least common multiple of k and f.
14
Let j be (-91075)/42 - 8/(-28). Let p = j + 2159. Calculate the common denominator of (-2)/(-8) + (-348)/(-16) and p.
6
Let x be (317/2)/((-1)/(-70)). Let n be 1601304/(-54)*(-3)/8. Let b = n - x. Find the common denominator of b and 39/11.
66
Suppose -51 = -4*a - p + 30, 4*a = -3*p + 83. Let b = 17 - 10. Suppose -b*i + 3*i + 37 = -r, 3*r - 9 = -3*i. Calculate the smallest common multiple of a and i.
40
Suppose -3*a - 12805 = -16*a. What is the smallest common multiple of 5 and a?
985
Let y = 5 + -2. Let h(s) = -2*s + 1. Let k be h(-1). Suppose -u - 4*d - 5 = 0, -u - k*d = -6*u + 21. What is the least common multiple of u and y?
3
Suppose 0 = 5*n + 5*z - 5, 0 = -3*n + 5*z + 24 - 5. Let x(y) be the first derivative of y**2/2 + 9*y - 3. What is the least common multiple of n and x(-4)?
15
Let n = -10 + 14. Suppose -2*p - 2*p = -3*w - 2, 0 = 4*p + n*w - 16. Find the common denominator of 4 + 1/7*p and -37/3.
21
Let h be (2/990)/((-2)/9210*6). Let l = 5/18 + h. Find the common denominator of l and 10/9.
99
Suppose -8 = 2*o, -3*p = 2*o + 15 - 4. Calculate the common denominator of (-1)/(-7) + 10758/1232 and -11*(-2)/(-16) - p.
8
Let c = 3 + -4. Let z = c + 2. What is the common denominator of -77/6 and (58/6)/z + 2?
6
Let f = -27203/2457 - -144/13. Let m = f - -2447/1890. What is the common denominator of 1/9 and m?
90
Let y = -10042/5 + 1999. What is the common denominator of y and (-29)/(7 + 3 + -4)?
30
Let n = 64987/12 + -5407. Let b(t) = 11*t - 8. Let r be b(-2). Calculate the common denominator of (78/24)/(0 + 27/r) and n.
36
Suppose -63*p - 95*p = 13*p - 1881. Suppose -3*x - 1 = -10. What is the lowest common multiple of x and p?
33
Let x = -6 + 13. Let n = 1959 - 1928. Calculate the lowest common multiple of x and n.
217
Let u = 13 + -2. Suppose 4*v - 61 = 111. Let p = v + -31. Calculate the least common multiple of u a