t r = -33 - -179. Calculate the lowest common multiple of r and 18.
1314
Suppose 2*h - 7*h = 5*y + 25, 4*y = 0. What is the lowest common multiple of h + 1/1 + 18 and 10?
70
Suppose 4*z + d = 5*d - 24, -d - 44 = 4*z. Let q = 12 + z. Suppose 4*i - 1 = 11, 3*b = -2*i + 48. Calculate the least common multiple of q and b.
14
Suppose -4*l + 4*m = -1376, 17*l - 12*l + 2*m = 1727. What is the lowest common multiple of 10 and l?
690
Let p(d) = d**2 + 5*d + 14. Let n(i) = -1. Let u(r) = -2*n(r) + p(r). Calculate the lowest common multiple of u(-6) and 5.
110
Let p(s) = -2*s - 13. Let m be p(-9). Suppose 2*h = m*h - 42. What is the lowest common multiple of h and 2 + -3 - (-3)/1?
14
Suppose -5*o - 99 = 4*q, 4*o - 35 = 5*o - 3*q. Let d = -19 - o. Suppose -u - 4*f - 2 = f, 2*f = u - 26. What is the lowest common multiple of d and u?
36
Let g be ((20/3)/(-5))/((-6)/36). Suppose 178 = g*i + 66. Calculate the smallest common multiple of 10 and i.
70
Suppose 4*s + 1038948 - 251788 = 0. Let a be (-6)/(-15)*s/(-32). Let i = a + -2469. What is the common denominator of i and 49/22?
88
Let y = 148411/72945 - 20/1621. Find the common denominator of y and -83/20.
180
Suppose 0*d - 6 = -3*d. Suppose -9*c - 2*c + 55 = 0. Suppose -6*f = -4*f + c*j + 3, f - 3*j = 26. What is the smallest common multiple of f and d?
22
Suppose 2*k - 4*l + 2 = 0, 5*k - l - 4*l - 10 = 0. What is the lowest common multiple of (-4)/(-2)*(-11)/(-2) and k?
55
What is the common denominator of -1 + ((-87)/(-24) - -1) and 33/(-14) - (0 - -3)?
56
Suppose -4*c - 20 = 0, 3*g - 38 = -2*c + 6*c. What is the lowest common multiple of g and 272?
816
Let t = -780/23 - -10901/276. What is the common denominator of (-254)/(-40) - (0 + 1) and t?
60
Let j = 9 + -7. Suppose j*o + 6 = 4*w - w, -3*o + 2*w + 1 = 0. Calculate the least common multiple of 5 and o.
15
Suppose -12*f = -3*f - 126. Calculate the smallest common multiple of f and 54.
378
Let y(i) = 5*i**2 + 15*i + 22. What is the lowest common multiple of y(-4) and 4?
84
Let x be (-13 - -11) + 6*1. Suppose -g + 23 - x = 0. Let r = g + -11. Calculate the smallest common multiple of 10 and r.
40
Suppose 22*c - 20*c - 10 = 0. Suppose 0 = -t - c*t + 48. Calculate the least common multiple of 6 and t.
24
Suppose l + c - 7 = 1, 0 = -l + 3*c - 8. What is the common denominator of -43*(2 - (-1 + l)) and 46?
1
Let x = -1717/2 + 852. Find the common denominator of 71/66 and x.
66
Suppose -7*k + 448 - 147 = 0. Calculate the lowest common multiple of k and 1.
43
Let m = -79 + 85. Suppose 10*g - m*g - 80 = 0. What is the smallest common multiple of g and 12?
60
Let x = -1921 + 1950. What is the least common multiple of x and 6?
174
Let p = -1751 - -24407/14. Let t = 10559/3978 + 236/221. Calculate the common denominator of t and p.
126
Let t be (-4)/14 - (-3666)/91. Suppose -3*v - t = -7*v. Calculate the smallest common multiple of v and 22.
110
Suppose 3*z + 225 = 3*p, p - 5*z - 25 = 42. What is the common denominator of p/(-14) + 8/(-10) and 17/48?
240
Suppose b = -4*i - 4 - 1, 0 = -3*i - 5*b + 9. What is the lowest common multiple of i*4/(-3)*3 and 14?
56
Suppose -3*z = -6*z + 3*r + 15, -r = -1. Let i = 61 + -106. Let b = i + 48. Calculate the smallest common multiple of b and z.
6
Let q be (-2 - -3) + 2 - 4. Let p = q + 5. What is the smallest common multiple of ((-11)/4)/(p/(-32)) and 10?
110
Let x = -8/65 + -4673/585. What is the common denominator of x and (-941)/(-84) - (-12)/(-42)?
36
Find the common denominator of 43/3 and (204/135)/(-2) - 1/(-3).
45
Let w(d) = -3*d**2 - 14*d + 9. Let x be w(-11). Suppose 72 = -4*i - 24. What is the least common multiple of x/30*i/10 and 8?
16
Find the common denominator of 67/12 and 7/6*(10075/182)/25.
12
Let h = 34 - 55. Let b = h - -29. Calculate the lowest common multiple of b and 22.
88
Suppose 3*f - 1 = 4*f. Calculate the common denominator of (-405)/(-70) - (3 + f) and (1105/(-39))/((-12)/(-9)).
28
Let j = -154/9 - -91/6. Calculate the common denominator of 11/44 - (-115)/(-44) and j.
198
Let l = 232 + -172. Calculate the smallest common multiple of l and 4.
60
Suppose -3*d + 2*d = c - 118, -2*c - 4*d = -236. Let o = c + -77. Let p = -2326 + 20986/9. Calculate the common denominator of o and p.
9
Suppose 5*t - 25 = 0, -17 = j - t - 4*t. Calculate the least common multiple of j and 10.
40
Let x(j) = -j**2 - 3*j + 15. Let i be x(-5). Suppose -l - i = -6. What is the least common multiple of l and 8?
8
Suppose 0 = 3*z - 2*c - 2 + 9, -5 = 2*z - c. What is the common denominator of (-15)/(2 - z) + 137/14 and 69/5*2/4?
70
What is the common denominator of (-840)/3276*(-14)/(-4) and -67/36?
468
Let c(s) = s**3 + 6*s**2 - 5*s - 5. Let f be c(-6). Let v = f + -3. Suppose 5*d = 5*n + 20, -2*d + 2*n + 14 = d. What is the lowest common multiple of d and v?
66
What is the common denominator of -9/56 and (-14547)/12558 + (-2)/(-23)?
56
Suppose b + 3*b - 72 = 0. Let h(o) be the second derivative of 2*o**4/3 + 22*o**3/3 - 4*o**2 - 28*o. What is the smallest common multiple of b and h(-6)?
144
Let p(v) = v**2 - 11*v - 28. Let q be p(-9). Suppose -3*l + 37 = -q. Calculate the least common multiple of l and 8.
504
Suppose -26 - 114 = -f. Suppose -4*w - w = f. Calculate the common denominator of (-405)/w - 2/(-7) and 44.
4
Let x(f) = 44*f + 212. Calculate the lowest common multiple of 212 and x(-4).
1908
Let i = -12 + -2. Find the common denominator of 6/4*(i - 5) and 53/4.
4
Find the common denominator of -113/56 and (4161/(-532)*1)/((-42)/4).
392
Let o(k) = -k**3 + 4*k**2 - 2. Let a(l) = -2*l**3 + l + 1. Let i be a(-1). Let w be o(i). What is the common denominator of 248/55 + w/15 and 11?
11
Let y = -18 - -18. Let n(p) = p + y*p + 2*p**3 - 6*p**3. What is the smallest common multiple of n(-2) and 20?
60
Let o = 97342/73935 - 9/1643. Calculate the common denominator of o and 29/54.
270
Let b = -18661733/252 - -74055. Find the common denominator of -79/84 and b.
252
Let m = 88 + -58. Suppose 0 = -4*a + 2*k + 36, 36 = 4*a - 31*k + 28*k. What is the least common multiple of m and a?
90
Suppose 12*p = 61 + 47. What is the smallest common multiple of 110 and p?
990
Let d = -86 + 96. Find the common denominator of 61/6 and (-4)/d - (816/580)/(-3).
174
Let p = -17/134 + 1132/737. Find the common denominator of p and -3 + (-140)/16 + 4.
44
Let h(c) = c**2 + 3*c + 2. Suppose 5*j = 3*t + 12, 3*t - 3 = -j + 3. What is the lowest common multiple of -1 + (0 - t)/(2/(-14)) and h(-4)?
6
Suppose 3*l - 4*z - 18 = -57, -2*z - 65 = 5*l. Let a = -11 - l. Find the common denominator of -15/7 and 2 + (-135)/(-6) + a.
14
What is the lowest common multiple of (-4 - ((-10)/(-4) + -6))*-4 and ((-2)/(-4))/((-1)/(-44))?
22
Let q = 113 + -110. Suppose 2*j + 38 = q*l, 0 = 2*l + 3*l + 3*j - 57. Suppose 2*x = -0*x + 40. What is the smallest common multiple of l and x?
60
Let j(g) = g**2 + 32*g + 160. What is the smallest common multiple of j(-26) and 1 - 1 - 30/(-3)?
20
Let g = -3/24581 - -4596827/1474860. What is the common denominator of 101/120 and g?
120
What is the common denominator of 77/6 and ((-56)/762)/(80/(-45) + 2)?
762
Let d be 2/8*4 + 2. What is the least common multiple of 64 and ((-15)/20*5)/(d/(-16))?
320
Suppose 10*r = 6*r + 44. Suppose -3 = -2*t - r. Calculate the common denominator of -219*t/72 - -3 and 91/4.
12
Let a be 1/(-5) + (-185)/(-20900)*-222. Let k = 27/38 + a. What is the common denominator of 12/25 and k?
275
Suppose 30 = -5*z - 5*x - 40, 4*z = 5*x - 11. Calculate the common denominator of (-2)/z + (-2115)/162 and 13/(1*(-22)/7).
66
Let j = 4247/648 - -1/648. Let n = 3/709 + 37571/1418. Find the common denominator of j and n.
18
Let o be (12 - 5)/(14/6 - 2). Let i = o - 5. Calculate the lowest common multiple of 20 and i.
80
Let j(p) = 2*p + 4. Let a be j(0). Suppose -3*t = 4*s - 36, -t - 4*s + a = -0*t. Calculate the smallest common multiple of t and 14.
112
Suppose -2*n + 35 = -n. Suppose -4*v + n = -v - d, 3*v - 55 = 5*d. What is the smallest common multiple of 10 and v?
10
Suppose -5 = -3*w + 4. Let n(k) = -4*k - 111. Calculate the least common multiple of w and n(-30).
9
Suppose 2*m + 3 = -3. Let a be 3 - (23 - m - 3). Let i = 25 + a. What is the smallest common multiple of 3 and i?
15
Suppose -61 = -7*d + 23. What is the