6243 + 29978. What is the smallest common multiple of 162 and m?
67230
Suppose -40 = 9*y - 130. Let d(p) = 7*p - 5. Let h be d(y). Suppose 55 = 4*w - v, -2*w + v - h = -6*w. Calculate the least common multiple of 11 and w.
165
What is the common denominator of 65/1008 and 31/((-33480)/(-3296))*12/(-448)?
5040
Calculate the common denominator of -113/1750 and 397/(-1225) - (1 + 84/(-63)).
36750
Let g(o) = 5*o. Let u(w) = -410*w**3 + w**2 - w - 2. Let f be u(-1). Let l = -396 + f. Calculate the lowest common multiple of l and g(4).
140
Calculate the lowest common multiple of (-4)/54 + ((-4918800)/(-810))/8 and 3.
759
Let s = 111286 + -5674150/51. Let v = 99/17 - s. What is the common denominator of 43/15 and v?
15
Let x be 5*(2 - 1748/5). Let b = -15709/9 - x. Calculate the common denominator of b and (-6)/(28/((-672)/(-536))).
603
Let x = 292 + -267. What is the smallest common multiple of 121 and 20/x*825/30?
242
Suppose -5*f - 6*f = -3113. Let h = f - 1422/5. What is the common denominator of -21/65 and h?
65
Let y(s) = 2*s**3 + 2*s**2 - 2*s. Let l be y(2). Suppose -w + l = -4. What is the smallest common multiple of -1 + 9/7 - (-17 - (-900)/63) and w?
24
Let w(q) = 4*q**2 - 24. Let z = -31 - -27. What is the smallest common multiple of 5 and w(z)?
40
Let q = -2587 - -4801. What is the least common multiple of q and 984?
8856
Let b(p) be the third derivative of -p**4/24 - 17*p**3/6 - 30*p**2. Let o be b(-17). Calculate the common denominator of 10/(-33)*(-9 - o) and -111/10.
110
Suppose 0 = -2*y - r + 12806, -9960 = -3*y - 4*r + 9259. Suppose -y - 10747 = -3*s. What is the common denominator of (-2)/13 - (-3 - s/(-1040)) and 73/4?
20
Let x be (-1)/(-2) - (-11 - 50/20). What is the smallest common multiple of 9/6*((2 - 4) + x) and 24?
72
Suppose 4192 - 2870 = 192*l - 6358. Calculate the lowest common multiple of 2265 and l.
18120
Calculate the common denominator of 13/1776 and ((2 - 8/24) + -1)*(-59)/6.
5328
Let r = -6/53 + -217/424. Calculate the common denominator of r and (-12)/60 + (-6)/9 + (-860)/(-120).
40
Let s(w) = 5*w**2 + 6*w - 5. Suppose 4*m + r = 0, -4*m - 4*r = -7*r. Suppose 6 = -3*j, -2*n + m*n = 2*j. What is the smallest common multiple of 24 and s(n)?
216
What is the least common multiple of 162 and (-114)/(-10) - 306/(-510)?
324
Let b be (-2 + 0)/((-1)/2). Suppose 240 = b*u - 408. What is the least common multiple of 27 and (-2)/(18/(-245)) + (-36)/u?
27
Let m(o) = 6*o - 45. Let r be m(11). Suppose -r = -14*h + 231. Calculate the lowest common multiple of 12 and h.
36
Suppose -89*m + 17443 = -61233. Calculate the lowest common multiple of 24 and m.
5304
Find the common denominator of 3 + (68/(-12048)*-63)/((-54)/462) and 149/132.
33132
Suppose -32*p + 41*p + 32733 = 0. Let w = p - -87349/24. What is the common denominator of 71/92 and w?
552
Let w = 45 + -54. Find the common denominator of (2/10)/(w/630*48) and 65/44.
264
Let s be (-4)/(-9) + 8*(-4132)/(-1710). Let u = 98/5 - s. Find the common denominator of u and -77/90.
1710
Suppose c - 1234 = 3*q, -450*c + 446*c - 3*q = -4816. What is the least common multiple of 990 and c?
10890
Let k(h) = 4*h**2 - 6*h. What is the smallest common multiple of k(-3) and (-16)/(12/3)*-4?
432
Let y(u) = 4*u**2 - 5*u - 2. Suppose -95 - 133 = -2*k. Let i = k - 93. Calculate the lowest common multiple of y(-2) and i.
168
Suppose -354*y - 31518 = -388*y. Calculate the least common multiple of 3193 and y.
28737
Let w = 205 + -139. Suppose 4*q = -4*n, 14*q = 12*q - 8. What is the least common multiple of w and n?
132
Let p = 25/9 - 83/27. Let x = p + 7/54. Calculate the common denominator of 25/6 and x.
6
Suppose 23*i + 5*d = 25*i - 69, 0 = -i + 2*d + 37. Let o(z) = 6*z - 2. What is the smallest common multiple of i and o(2)?
470
Find the common denominator of -49/816 and ((-176 - -2) + 2)*18/20196.
8976
Suppose -107 = -5*v + 43. Suppose 2176 = -209*j + 2425 + 4976. What is the lowest common multiple of j and v?
150
Let a = 52/3635 + 17196977/14540. Let u = -1161 + a. Find the common denominator of 27/41 and u.
164
Suppose -22 = -o - 4*m, -3*o - o = 2*m - 158. Let i(x) = 3*x**3 + 11*x**2 - 6*x + 4. Calculate the lowest common multiple of o and i(-4).
84
Let q(x) = -45*x + 529. Calculate the least common multiple of q(-11) and 896.
7168
Suppose 16 = 4*n, 5*n = 5*k + 20 - 70. What is the smallest common multiple of 882 and k?
882
Let n = -1288 - -3788/3. Calculate the common denominator of n and (-53)/(-33) + 0 + -1.
33
Let b(p) = 1630*p**2 + 32*p - 34. What is the least common multiple of 76 and b(1)?
30932
What is the common denominator of 1906/(-208) - 120/520*-39 and 139/624?
624
Let g = -16/9 - 265/18. Find the common denominator of g and (-1)/(-8)*(1 + 0).
8
Let k(g) = 13*g**2 - 15*g + 16 + 6*g**2 + 2 - 18*g**2. Let t be k(14). What is the least common multiple of 21/1 + 0 + (t - 7) and 30?
90
Find the common denominator of 0 + (5 - 2220/522) and (-63)/168 + -1*3.
696
Let p = 76 - 74. Let i(n) = -8*n - 11 + 2*n**2 - 3*n**p + 0*n**2 + 0*n**2. Calculate the lowest common multiple of i(-2) and 9.
9
Let h(x) = -27*x - 37. Let c(o) = o + 2. Let n(l) = 6*c(l) + h(l). Let p be n(-5). Find the common denominator of (-148)/p - (0 - -2) and -91/12.
60
Let z(m) = -11*m - 23. Suppose 5*a + 10 = -5*w, -3*a - w = -a + 4. Let g be z(a). Calculate the lowest common multiple of (g - 1 - -1)/(2/(-8)) and 10.
20
Let n(o) = -o**2 + 9*o - 5. Let l be n(7). Suppose -t = -l - 1. Let u(i) = i**3 - 9*i**2 - 8*i - 8. Calculate the lowest common multiple of u(t) and 6.
12
Let n(z) = 249*z - 4081. What is the least common multiple of n(19) and 200?
2600
Let d = -15539 - -16839. What is the lowest common multiple of d and 8?
2600
Let r be 19/(1463/294) - 2/(-11). Let v be (r - 14)/(24/46). Let a = -203/30 - v. Find the common denominator of 41/5 and a.
5
Let k = -917 - -1067. Let o = k - 1604/11. Calculate the common denominator of o and (-3 + -1)/((-292)/42).
803
Suppose 5*l + 0*s - 15 = 5*s, 5*l = -s + 21. Suppose 5 = -n + 2, -3*n + 39 = l*p. What is the lowest common multiple of (-1652)/(-196) - ((45/21)/5)/1 and p?
24
Let f be 1853/(-7) - 0 - 4/14. What is the common denominator of (f/318)/((-4)/(-39)) and -71/4?
8
Let j = 88 + -30. Suppose -5*m - j = -2*z - 3*m, -2*z + 63 = 3*m. Calculate the lowest common multiple of z and 35.
210
Let a = -11872 + 11874. Let z = 0 + 2. Suppose x + 4*l = z, 3*x + 4*l + 2 = 24. Calculate the least common multiple of x and a.
10
Suppose 14*q - 77*q + 2142 = 0. Suppose 0 = -s - 2*o + 14 + q, -5*s + 192 = -2*o. What is the lowest common multiple of 140 and s?
280
Let z = 4644 + 1146. What is the lowest common multiple of z and 18?
17370
Let i = 242144/27 + -8974. Let o = 161/27 - i. Let x = -1498/165 - -98/15. What is the common denominator of x and o?
33
Let k = 24 - 8. Calculate the least common multiple of (-2336)/(-104) + (-348)/754 and k.
176
Let a be (-8)/44 - 100/55. Let l = 18 + -31. Calculate the common denominator of (-261)/(-260) - (a/l)/1 and 77/38.
380
Let p = 13553 + -13137. What is the least common multiple of 416 and p?
416
Let b = -1731/227 + 52669/9080. What is the common denominator of b and 4/6 - 897/360?
40
Let z(v) = v**3 - 32*v**2 - 66*v - 65. Let u be z(34). Suppose -3*t + 12 = a, -11 + u = -2*t + 4*a. What is the lowest common multiple of t and 110?
220
Let s(p) = -p**2 + 19*p - 10. Let b be s(14). Suppose 62*m - 252 = b*m. What is the smallest common multiple of m and 5?
630
Let j be 0/(1 + (-3 - (-4)/4)). Calculate the common denominator of 19/10 and 715/(-22) - 9 - j/1.
10
Let d(a) = -26*a + 91. Let r be d(11). What is the lowest common multiple of 11 and 50/(-3)*-2*r/(-26)?
2750
Suppose -23*y + 17*y = -240. What is the common denominator of 0 + y/36 - (-1)/(-2) and -29/82?
738
What is the common denominator of (3161/2180)/(-2 - (-30)/(-4)) and 30/101?
19190
What is the lowest common multiple of 348 and 3*1/(24/1432) - (9 + -4)?
348
What is the common denominator of -13/9 and ((-34)/(-510))/(28/1565) - 2?
252
Let v(x) = 199*x + 41. Let f be v(-29). Calculate the common denominator of 0 - (1 + 28/(-48)) and -2 + f/(-1386) + 4/(-22).
84
Let t = -16706 - -29686. Let j = t - 311441/24. Calculate the common denominator of j and -25/261.
2088
Let v = -249021345