the least common multiple of n and d.
90
Let l = 223 - 343. Calculate the common denominator of 109/18 and 2712/l*5*(-1)/24.
72
Suppose 0 = -2*u - 9 + 17. Let s(q) = -2*q - 2. What is the smallest common multiple of s(-10) and u?
36
Let g be (-8)/((-9)/(-132)*5). Let v = g + 44/3. Let u = -509/45 + 112/9. What is the common denominator of v and u?
15
Let q(a) = -104*a**2 + 3*a + 7. Let g be q(6). Let r = g - -37153/10. Find the common denominator of r and -61/10.
10
Let a be ((-28)/(-42))/(2 - 10/6). Suppose -9 = -j + a. Calculate the lowest common multiple of j and 15.
165
Suppose -5*h + 770 - 5 = -5*s, 0 = -5*s - 4*h - 792. What is the common denominator of 6/(-20)*1105/s and 21/11?
88
Suppose i = -24*i + 2675. Calculate the smallest common multiple of i and 9.
963
Suppose 0 = -1205*d + 1196*d + 54. Let f = -3 + 7. Calculate the least common multiple of d and f.
12
Let q = -18424 + 2210987/120. What is the common denominator of 119/100 and q?
600
Let o(k) = -2*k - 9*k - 18 - k**2 + 0*k. Let a = -16 - -26. What is the smallest common multiple of o(-6) and a?
60
Calculate the common denominator of ((-2)/24)/(2/51) and ((-1269)/54 - -12)/(2/(-3)).
8
Let s = -4 - -22. Let u be (1 + 3)/(9/s). What is the least common multiple of (u/(-10))/(1/(-5)) and 9?
36
Let y = 10 - -10. Suppose -4*k - 4*v = -y, 0*v + 5*v = -25. Calculate the smallest common multiple of k and 1/2*-16 + 10.
10
Let c be (-123 - 0)*428/(-12). Suppose 0 = 3*h - 2*t - c, 0*h + 4*h - 5851 = t. Calculate the common denominator of 14/11 and h/(-196) + (-1)/4.
77
Let r(p) = p - 10. Let z be r(8). Let q = 8 + z. Suppose -2*i = -v - 43, 5*i + 23 - 114 = -3*v. What is the smallest common multiple of q and i?
60
Let x(v) = -v**3 + 5*v**2 + 5*v + 7. Let a be (-13)/(-2) - (-8)/(-16). What is the lowest common multiple of 17 and x(a)?
17
Let k(w) = -9*w**3 - w**2 - 5*w - 5. Let g(p) = 9*p**3 + 2*p**2 + 6*p + 6. Let j(r) = -4*g(r) - 5*k(r). Calculate the lowest common multiple of j(1) and 10.
40
Suppose -7*j = -2054 + 1123. Calculate the lowest common multiple of j and 49.
931
Let v = -741845/54 + 13737. What is the common denominator of -11/60 and v?
540
Let w = -12 + 14. Calculate the lowest common multiple of (1 - 7/2)*-4 and 60/(-4)*-2 - w.
140
Let u be 4/14 - 1064/(-1323). Let j = u - 4/7. Calculate the common denominator of j and -11/9.
27
Let o = -999 + 569. Let q = o + -38. Calculate the common denominator of q/16*(-3)/45 and -3/8.
40
Let w = -5412050/121 + 44728. What is the common denominator of w and 18/55?
605
Suppose -2*w + 6*w + b - 81 = 0, -2*w + 3*b + 23 = 0. Suppose 2*v = -0*v + 4. Calculate the smallest common multiple of w and v.
38
Let o = -14 - -16. Let j(f) = -6*f**o - f**3 + 5*f + 12 + 14*f**2 + 4*f. What is the lowest common multiple of 18 and j(9)?
36
Let r be 6/(-278)*(-5)/((-810)/(-12)). Let z = 30038/8757 - r. Calculate the common denominator of z and -55/3.
21
Let v(s) = -s**3 - 6*s - 1. Calculate the lowest common multiple of v(-3) and 12.
132
Let y = -1744/9 - -6989/36. Find the common denominator of y and -95/16.
144
Suppose -5*j + 219 = 4*x, -88 = -5*x - j + 191. What is the least common multiple of x and 28?
56
Suppose 30 = 7*u - 2*u + g, -4*u + 3*g + 5 = 0. Let k(y) = -y**3 + 6*y**2 - y + 4. What is the lowest common multiple of 8 and k(u)?
24
Let d = 14 + 17. Let l = -33 + d. Calculate the lowest common multiple of -2*((-4 - l) + -2) and 10.
40
Let z = -26 - -11. What is the common denominator of (-1263)/30 + (-9)/z and -77/16?
16
Let t = 6 - 21. Calculate the common denominator of (2 + t/7)*232/12 and -53/21.
21
What is the lowest common multiple of (-129)/(-1) + (-4 - -2) + -7 and 16?
240
Let r = 123 - -21. What is the lowest common multiple of 24 and r?
144
Suppose -23 = -2*h + 55. Suppose 0 = 5*q + 20, 0 = -4*u + 4*q + h - 7. Calculate the smallest common multiple of u and 36.
36
Let h(z) = -3*z + 26. Let w be h(8). Suppose 3*g = 2*d - 168, 5*d - w*d - g = 252. Calculate the smallest common multiple of ((-12)/(-10))/((-2)/(-10)) and d.
84
Let p be 0*(2 + 6/(-4)). Suppose -4*g + 3*u = -p*g - 2211, 0 = -g + u + 553. Find the common denominator of 105/22 and (50/15)/(g/(-81)).
1012
Let x(u) = -u + 8. What is the least common multiple of (-70)/280*(-88)/2 and x(-6)?
154
Let z = -13 - 2. Let t be (18/z)/(16/(-360)). Let c = 29 - t. What is the lowest common multiple of c and 4?
4
Find the common denominator of 41/28 and ((-1)/16)/((-11)/869).
112
Let h(n) be the second derivative of -3/2*n**3 - 2*n - 1/12*n**4 - 5*n**2 + 0. Calculate the lowest common multiple of h(-6) and 16.
16
Let m(r) be the first derivative of 5 + 2*r**2 + 10/3*r**3 - 1/4*r**4 - 15*r. Calculate the least common multiple of m(10) and 5.
25
Let z = 1017 + -999. Suppose 5*l - 88 = l. What is the least common multiple of l and z?
198
Let y = -1 + 1. Let k(a) = -a**3 + a**2 - a + 16. Calculate the least common multiple of k(y) and ((-5)/4)/(((-406)/(-224))/(-29)).
80
Let s = 19510 - 24407005/1251. Let f be 2 + 1 + (-128903)/12510. Let r = f + s. Find the common denominator of 29/4 and r.
20
Let z = 118647/16 - 7419. What is the common denominator of -5/184 and z?
368
Let d = -159823/75852 + -2/18963. What is the common denominator of -2/7 and d?
28
Let x be -2 - 1 - -1*586/184. Let k = x - 7799/1380. Calculate the common denominator of -37/15 and k.
15
Suppose l + 3*v = -15, -2*v - 9 = -4*l + 1. What is the common denominator of (-3 - l)/(13/10) and -24/11?
143
Let a(x) = x**2 - x - 1. Let k(y) be the first derivative of y**2/2 + 16*y - 7. What is the least common multiple of a(2) and k(-12)?
4
Suppose 0 = -2*a + 1892 - 560. What is the lowest common multiple of a and 4?
1332
Suppose -13 = -5*l - v - 0*v, -19 = -2*l - 5*v. What is the common denominator of (l/(-7))/(4/27) and -2 + -13*6/40?
140
Suppose 3*z - z - 26 = -5*i, -2*i - 2*z + 8 = 0. Suppose 3*k - 126 = -0*k. What is the least common multiple of i and k?
42
Let p = -776104246122532/12335 + 62918868646. Let o = -3/12335 - p. Let q = o - 203/2. Find the common denominator of q and -37/4.
20
Let i = 59/42 + -26617/18858. Let v = -31762/17511 + i. What is the common denominator of -131/24 and v?
312
Let h(z) = z**3 - 4*z**2 - 2*z + 2. Let o be h(4). Let r = 61999/13400 - 3/1675. What is the common denominator of (222/16)/(o/2) and r?
8
Calculate the common denominator of -7/24 and 8/76 - (-11562)/8208.
72
Suppose 5*m = -325 - 1380. Calculate the common denominator of (-20)/(-15) + m/78 and ((-9)/(-24))/(36/848).
78
Let w = 236424 + -17732407/75. Let t = w + 63/50. What is the common denominator of 69/8 and t?
24
Let h = -330665029/31013064 - -12/143579. Let o = 29/54 + h. What is the common denominator of o and -65/38?
152
Let u be (-9)/(-54) - (-59)/6. Suppose -5*y - u = 0, 0 = -2*t - 0*y - y + 18. What is the lowest common multiple of 18 and t?
90
Let h = -2345 + 3772. Let u = h + -4235/3. What is the common denominator of u and -21/5?
15
Let c = 510457/4 + -126696. Let i = -18571/20 + c. What is the common denominator of i and (-90)/(-16)*(-460)/69?
10
Let r = 972/25 - 40049/1050. What is the common denominator of r and -17/56?
168
Let h = -101/44 - -327/55. Find the common denominator of h and 5/18.
180
Let n(g) = 5*g**3 - g**2 + g. Let o be n(1). Suppose -o*q + 0*q - 3*a + 91 = 0, 4*a = 4*q - 60. Find the common denominator of (q/(-18))/(12/18) and 23/26.
156
Calculate the common denominator of -133/6 and (-2 - (-115)/(-10))*7/3.
6
Let j be 2/20*235234/(-4). Let h = j - -5877. Calculate the common denominator of h and 63/10.
20
Let l = -768 + 4703/6. What is the common denominator of -1/98 and l?
294
Let p = -1081/476 - 9/34. Find the common denominator of p and 71/(-10) + -1 + -2.
140
Let w = 95 - 90. Let y(l) = l. What is the least common multiple of w and y(8)?
40
Let x = 237057/26 - 9120. Suppose -r + 4*r + 973 = 2*n, n - 484 = -r. Calculate the common denominator of x and n/(-68) + 42/(-357).
52
Suppose 0 = 2*d + 3*d + w - 55, -3*d - 5*w + 33 = 0. Suppose -l - 3*j + 1 = l, 3*l - d = 5*j. Calculate the lowest common multiple of l and 7 - 2/(-4)*2.
8
Let m = 69 - 63. Suppose 0 = m*p - 11 - 1. Calculate the lowest common multiple of 7 and p.
14
Let l(m) = -9*m - 143. Calculate the smallest common multiple of 91 and l(-19).
3