61 = -3*o - 22. What is the smallest common multiple of 60 and (1 - 13/w*4)*-15?
300
Suppose 3*n = 5*l - 32 + 8, -5*n = l - 16. What is the smallest common multiple of l and 6072?
6072
Suppose -23*k - 24 = k. Calculate the least common multiple of 110/((3 + k)/(-12 - -16)) and 20.
220
Let k = 232 + -333. What is the common denominator of k/(-66) - 79/(-237) and 47/2?
22
Suppose -2*p = 5*m - 35, -9*p + 40 = -4*p + 3*m. Suppose 5*b - 70 = 2*n, 3*b - p*n = -2*b + 70. Calculate the lowest common multiple of b and 195/6 + 1/(-2).
224
Let y = 127/91 - 102175/78624. What is the common denominator of 47/576 and y?
1728
Suppose -5*q + u = -3*u - 438, 0 = q - 5*u - 75. Suppose 5*f = -3*p - 22, 0 = -2*p - 0*p + f + 7. Calculate the lowest common multiple of q and p.
90
Let b(s) be the third derivative of 43*s**2 + 1/12*s**4 + 0 - 25/6*s**3 + 0*s. What is the lowest common multiple of 15 and b(14)?
15
Suppose -970 = -4*i - 434 + 776. Calculate the lowest common multiple of i and 12.
984
Suppose 4*x - 6258 = -3*y, -3*y - 718 = -x + 824. What is the smallest common multiple of 120 and x?
1560
Let t(h) = -11*h**3 - 8*h**2 + 3*h + 4. Let x = 42 - 74. Let y = 54 + x. Calculate the lowest common multiple of t(-2) and y.
594
Let r = -2995774 - -5991529/2. Let m be (-862)/24*(-6353)/6. Let i = -38031 + m. Find the common denominator of r and i.
72
Let f(j) be the second derivative of 0 - 1/12*j**4 - 51/2*j**2 + 31*j - 23/6*j**3. Calculate the least common multiple of f(-20) and 9.
9
Let u(i) = 51*i + 2439. Calculate the smallest common multiple of 726 and u(-47).
5082
Let m(u) = -u**2 + 32*u + 60. Let f(t) = 5*t**2 + 5*t + 1. Let g be f(-3). Let s be m(g). Let y = s - 9. Calculate the least common multiple of y and 6.
246
Let m = 5351/3288 + -1/411. Let n = m + 49/24. Find the common denominator of -65/9 and n.
9
Let r(i) = -i**2 + 8*i - 9. Let z be r(3). Suppose y = -a + 6, a + z = 6*a - 3*y. Calculate the least common multiple of a and 39.
39
Suppose -3*x = -0*x + 5*u - 2150, -728 = -x + 4*u. Find the common denominator of 500/x*(-1 - 14) and -35/36.
36
Suppose 11*g - 79 - 42 = 0. Let t(a) = a**2 + 8*a + 17. Calculate the lowest common multiple of g and t(-4).
11
Let a = 1244559/40 + -31117. Calculate the common denominator of a and 11/50.
200
Let r be 5 + -73 + -1 + -1. Find the common denominator of -3/35 and 749/r + 3/6.
35
Suppose 0 = -18*n - 130 + 22. Let m = 12363/4 + -3115. Calculate the common denominator of m and (-8)/n - (31 - 35).
12
Suppose -11*p + 53*p - 588 = 0. Let t(s) = 12*s - 156. What is the least common multiple of t(p) and 36?
36
Find the common denominator of 5/36 and ((-31)/186)/((-8)/452).
36
Suppose -5*k = h - 191, 6*h - 67*k + 69*k - 950 = 0. Calculate the lowest common multiple of 315 and h.
16380
Suppose -117*p - 264 = -128*p. What is the least common multiple of 3*2*2/4 and (6 - (-35)/(-10))*p/20?
3
Let b = 1900 - 1897. Calculate the least common multiple of 1078 and b.
3234
Suppose u - n = -0*n - 10, -4*u = -3*n + 37. What is the common denominator of -61/5 and 33/249 - (u - -7)?
415
Let m be -6 + (-714)/(-91) - 4/(-26). Suppose 0 = -m*g + 2*l + 39 + 23, 2*g - 3*l = 63. What is the smallest common multiple of g and 25?
150
What is the common denominator of 285/42 - -1*1 and 2/(-2)*(-27401)/(-5170)?
70
Suppose -58*n = -74*n - 408736. Let u = n + 1890435/74. What is the common denominator of 31/6 and u?
222
Let a(d) = 2*d**3 - 49*d**2 - 26*d + 67. Suppose 0 = -l + 4*c - 17 + 55, -2*l - c = -31. Calculate the least common multiple of l and a(25).
126
Let y(a) = a + 6. Let w be y(-4). What is the common denominator of (30/165)/((-44)/(-1089)) and 3/2*7/w?
4
Suppose -13 = -2*k - 3. Let g(y) = -11*y - 12. Let v be g(-6). Suppose k*i - 8*i + v = 0. What is the lowest common multiple of 22 and i?
198
Let l = 913/92 - 39683/1104. Let a = -60/257 - 22427/4112. Let h = a - l. Calculate the common denominator of h and 36/29.
87
Suppose 5190 = -663*w + 673*w. Calculate the least common multiple of 39 and w.
6747
Let h = 17650 + -17580. Calculate the smallest common multiple of h and 1204.
6020
Let x = 6825 + -61486/9. Suppose 8 = -0*t + 2*t + 3*s, 4*s = t - 4. What is the common denominator of x and (-51)/t + -10 + 10?
36
Calculate the common denominator of 7/(16506/15)*(612/(-48))/17 and -7/6.
3144
Suppose -18541 + 5866 - 3733 = -14*o. What is the lowest common multiple of o and 16?
4688
Let g = -9984 - -13809. What is the least common multiple of 2125 and g?
19125
Find the common denominator of (1*6 + 1017/(-72) + 8)*-21 and -67/999.
7992
Let v = 20368 + -20032. What is the lowest common multiple of 57 and v?
6384
Let v(m) = 2*m**3 + 101*m**2 + 36*m + 92. What is the smallest common multiple of 220 and v(-50)?
3960
Let r be 0 + 0 + (-5655)/4. Let b = r - -1399. Calculate the common denominator of b and ((-6132)/112)/((-165)/(-5)).
44
Let p = 367 + -2905/8. Let q = 63518 + -1525321/24. Let l = 6913/168 + q. Calculate the common denominator of p and l.
56
What is the lowest common multiple of 11 + (-972)/90 - 1858/(-10) and 186?
186
Let b = -613/4 - -2117/12. Let z = -35169 + 597603/17. Let h = z + 334/51. Find the common denominator of b and h.
6
Suppose -2*x + 2*a = 24, 4*x + 6*a + 48 = a. Calculate the common denominator of -93/64 and (((-2187)/(-66))/(-27))/(x/10).
704
What is the common denominator of 91/36 and ((-178)/(-16))/((-1932)/112)?
828
Let x = 63185 - 3791161/60. Let s = -73/54 - -755/432. Calculate the common denominator of s and x.
240
Suppose -118*m = -55*m + 1890. Let t be 2 - (-2 - 111/3). Let z = m + t. Calculate the smallest common multiple of 14 and z.
154
Suppose -5*v + 10*d + 84 = 14*d, 2*v + 2*d = 32. What is the lowest common multiple of v and 8?
40
What is the common denominator of (-2)/(-2)*-1 + (1751/2448 - -1) and 127/432?
432
Suppose -28*d = -11*d - 68. Calculate the least common multiple of -42*(2 - (-15)/(-6)) and d.
84
Let t = 52 + -54. What is the smallest common multiple of t/(-8) + 3 + 23/4 and 17?
153
Let a = -699359 - -1991075098/2847. Find the common denominator of -22/7 and a.
19929
Suppose 6*h - 38613 = 540*m - 541*m, h - 5*m = 6420. Calculate the lowest common multiple of 60 and h.
25740
Let r(n) = -n**3 - 13*n**2 + 11*n - 30. Let h be r(-14). Suppose 9 = v - h. What is the smallest common multiple of v and 9?
63
Suppose 38*k + 55*k - 3264 = 25*k. What is the lowest common multiple of k and 528?
528
Let s = 2/113 - -3043/452. Calculate the common denominator of s and 67/92.
92
Suppose 0 = -11*r - 12*r - 230. Find the common denominator of -63/76 and (90/396)/(0 + 1/r).
836
Let k = 123178/111 - 2219/2. What is the common denominator of 55/282 and k?
10434
Let x be -8*(-10)/(-20) - 2/2. Calculate the common denominator of -53/25 and (x - -9) + (-126)/(-20) + 2.
50
Suppose -163*v + 1413 = 435. Calculate the least common multiple of (-1696)/(-18) + (-2)/9 and v.
282
What is the common denominator of (8991/(-1440))/37*2/1 and 67/120?
240
Let p = 2/1055 + -2327/3165. Calculate the common denominator of p and -14/205.
615
Suppose 138 = -5*g + 6*g. Find the common denominator of 4469/(-123)*(-12)/(-88) and g/(-32) - -1 - 0.
176
Let m = 31 - 23. Let d be (-6)/(-2) + 5 + m. Find the common denominator of -9/14 and 572/d*(-2)/(-9).
126
Calculate the common denominator of (230/70)/((-9990)/81) and 61/420.
15540
Let d be 2*-1*8/1. Suppose 3*u = 1145 - 794. What is the common denominator of 15/14 and ((u/d)/9)/(1/6)?
56
Suppose 6*i + 4203 = 9*i. Suppose 0 = 2*k - 4*k + 5*x + 19, 5*x = -5*k + 65. What is the least common multiple of 3/k - (i/(-12) - 1) and 18?
1062
Let s = -170 - -138. Let g = 17/88 + 46/11. Calculate the common denominator of g and 138/(-5)*8/s.
40
Let l = -1302077951/3000 - -434026. Calculate the common denominator of l and 77/30.
3000
Suppose -2*j - 3754 = -5*u, -2302*j + 3756 = 5*u - 2305*j. Calculate the least common multiple of 750 and u.
750
Let w(t) = 99*t + 39. Let l be w(-1). Find the common denominator of 241/l - (-55)/(-220) and -41/63.
315
Find the common denominator of ((-1)/(-2))/((-2)/8)*3/(-60) and 69/146.
730
Let y = -93998 + 1786422/19. Let u = -8158/57 - y. Let s = 166 + u. Find the common denominator of 40/3 and s.
3
Let w be 0 + -2*(-1 - 0). Calculate the common denominator