15555119/360100230 + 1/4046070. Let q be 4/(1424/(-324)) + 1. Let y = q + u. Find the common denominator of -24 and y.
7
Calculate the common denominator of -87/64 and ((-575)/(-4416))/(1/3).
64
Let a(i) = i**3 - i**2 - 7*i + 1. Let l be 3 - (2 - 0) - 11. What is the lowest common multiple of 0 + (-1)/(2/l) and a(0)?
5
Let i = 165324/55 - 3005. What is the common denominator of i and 38/121?
605
Calculate the common denominator of 96/224 - (-41)/(-14) and 33/43.
86
Let f = -187 - -476. Suppose -5*r = -3*l + l + 149, 4*l - f = r. What is the smallest common multiple of 6 and l?
72
Let t = 5193067/2951910 - -2/54665. Find the common denominator of 83/33 and t.
594
What is the common denominator of 151/42 and (11*2/(-11))/(840/(-298))?
210
Let f = -19/12 + 7/3. What is the common denominator of 126/((-143)/(-11) - 9) and f?
4
Let m be 4/(-18) - (-497)/9. Suppose 50 = 4*v + 2*c, m = 5*v + 4*c - 15. Let a = 55 - 53. What is the smallest common multiple of v and a?
10
Let q = 78 + -64. Let u = -15 + 15. Suppose 0 = -2*t + 4*n + 76, -2*n = -5*t - u*n + 166. Calculate the smallest common multiple of q and t.
224
Suppose 3*x = 4*x - 36. Calculate the common denominator of -13/7 and 194/x - (-12)/24.
63
Suppose -5*w + 411 = -2*b, 2 = -0*b + b. Let i = -161/2 + w. Let f = -8165 - -98095/12. Calculate the common denominator of i and f.
12
Suppose -2*r - 2*i + 23 + 27 = 0, 3*i = -2*r + 51. Calculate the least common multiple of 12/7*14*1 and r.
24
Calculate the smallest common multiple of 72 and -4*1/8*-192.
288
Let s(a) = a**3 - a**2 + 5. Let c be s(0). Suppose -c*z = -5*r + 4*r - 3, 3 = 3*z. Calculate the common denominator of r*(3 - 159/48) and 47/5.
40
Suppose -3*b = -0*b - 6645. Let v = 3607 - b. Let o = v - 4141/3. Calculate the common denominator of o and 91/4.
12
Suppose 4*i - 20 = -4*f, 5 = -2*f - 0*f + i. Suppose f = -4*k + 5*g + 22, 2*g - 4*g = -4*k + 16. What is the lowest common multiple of k and 27?
27
Let u = 14/2139 - -4/69. Let l = u - -896/527. Calculate the common denominator of 39/7 and l.
119
Let d(o) = -4*o - 17. Let p be d(-8). Let l be (6/p)/((-4)/(-20)). Suppose 3*j - 5*z = l*j + 4, -2*z = 0. What is the lowest common multiple of j and 5?
20
Find the common denominator of -71/60 and -10 - (3471/54)/(-13).
180
Let s = 136 - 109. Calculate the least common multiple of 39 and s.
351
Let s = -399619/21 + 104387/6. Let g = s + 1631. What is the common denominator of g and 37/20?
140
What is the common denominator of -89/30 and ((-49)/4)/(45/20) - 0?
90
Suppose 2*c - w - 1 = -2*c, 5*c - 4*w = 15. What is the smallest common multiple of 10 and -5 - (0 + c) - -12?
40
Suppose 3*w = 2*w + 2. Let d be (w/(-32)*-2)/8. Let q = -2357/704 - d. Find the common denominator of q and 1/6.
66
Let k be ((-78)/(-9) - 5)/(20/(-138)). Let i = -107/15 - k. Calculate the common denominator of -39/14 and i.
42
Let p = 2600 - 1558. Let i = 5726187/8 + -714721. Let v = i - p. Calculate the common denominator of v and 111/22.
88
Suppose 3*p = -0*p + 3. Let f = -90 - -79. Calculate the common denominator of ((-2)/(-8))/(p/91) and f.
4
Let c = -48152 + -288648. Let f = c + 2030485/6. Let a = -1623 + f. Find the common denominator of a and 65/12.
12
Let g = -1539068/525 + 20528/7. What is the common denominator of -29/4 and g?
300
Suppose -40 = -2*m + 74. Let a be 2 + (-2 - -1 - m). Let n = -34 - a. Calculate the lowest common multiple of n and 12.
132
Let f = 32 + -30. What is the common denominator of (f + 175/(-90))*74 and (426/32)/(3/(-2))?
72
Let n = -2929/3607340 - 1/120820. Let a = n - -636501/117040. What is the common denominator of -37/118 and a?
944
Let l(z) = z + 7. Let v be l(14). Suppose -8*g + v = -7*g. Calculate the least common multiple of 3 and g.
21
Let q = 270 + -193. Calculate the least common multiple of 14 and q.
154
Let f = -15 + 125. Calculate the smallest common multiple of f and 50.
550
Suppose 414 = 3*c + 4*s, 2*c - 5*s = 182 + 94. Suppose 7*n - 54 = -2*n. Calculate the least common multiple of c and n.
138
Let y(j) = j**2 - 4*j - 4. Let i be y(5). Suppose -2 = -m - i. Calculate the common denominator of m and (3/(-20))/((-12)/430).
8
Let j = 77/10 + -23/4. Let o = -7261/804 + -7/134. Calculate the common denominator of o and j.
60
Suppose -1135 + 120 = -7*p. Let s = p + -135. What is the smallest common multiple of 2*(22/4 + -2) and s?
70
Let i be (-2)/9 + (-1362)/(-54). Let t be (i/(-20))/((-2)/8). Suppose 0 = f - t*f + 56. What is the smallest common multiple of f and 22?
154
Let w = -3541/4 - -874. Let b = -3483/236 - -1/118. Find the common denominator of w and b.
4
Suppose -13*p + 18 = -11*p. Suppose -p*x + 100 = -4*x. What is the smallest common multiple of x and 10*1 - 2/(-1)?
60
Suppose -70 = -4*g + 2*l, 50 = g + 2*g - l. Suppose g*c - 114 = 12*c. What is the lowest common multiple of (-212)/(-18) - 2/(-9) and c?
228
Let h = 14 - 22. Calculate the lowest common multiple of 4 + (6 - (2 + 3 + 1)) and (-60)/h - 2/(-4).
8
Suppose 11*q = 7*q - 204. Let t = 60 + q. What is the smallest common multiple of t and 3?
9
Let z = 31841/165 + -89/110. Let l = z + -393/2. Find the common denominator of l and -28/11.
33
Let f = 2189 - 2184. What is the lowest common multiple of 46 and f?
230
Let j = 19 - -7. Suppose -2*o = -5*q + 3*q + 36, -q - 3*o = -j. What is the least common multiple of q and 20?
20
Let r = 14292526 + -5316815585/372. Let q = -53/93 + r. Find the common denominator of q and (-125)/60*(-65)/(-25).
12
Let u = -29 - -36. Calculate the common denominator of 63/4 and u/2*((-180)/(-112))/3.
8
Let s be -50*1/(-4)*-2. Let t be -18*(-2)/(12/15). Let l = s + t. Calculate the smallest common multiple of l and 8.
40
Suppose 5*r - 3*u + 24 = -6*u, -3*u = -r - 12. Calculate the common denominator of 43/20 and 105/54 + (-4)/r.
180
Suppose 1 = 4*p - 11. Suppose 2*o - p*k - 1 = 4, -5*o - k = -4. Let z(f) = f**3 + 5*f**2 + 5*f + 6. What is the least common multiple of z(-4) and o?
2
Let h(j) = 75*j**2 + j + 2. Let v be h(-2). Calculate the common denominator of (1 - (-21)/(-6))*(-306)/v and 11/14.
140
Suppose 798 = b - n, -2*b - 4*n + 1380 + 240 = 0. Calculate the lowest common multiple of b and 18.
7218
Let x = -143385851/591770 - 2/59177. Let s = -248 - x. Find the common denominator of -8/3 and s.
30
Let f be 15*(0 - (-2)/6). Suppose -f*d + 20 = 0, 2*d - 144 = -4*j + d. Let m = j - 13. What is the least common multiple of 4 and m?
44
Let j = -55521/117368 - -110/863. Find the common denominator of -22/153 and j.
1224
Let r = -160 - -161. Let x be 8*(3 + (-10)/4). Suppose -3*z + 83 = x*i, 3*i = -0*i + 4*z + 31. What is the lowest common multiple of r and i?
17
Let d(s) = 17*s. Let o be d(4). What is the least common multiple of 5 and (3/3)/(2/o)?
170
Let o = -62675/42 - -1492. What is the common denominator of o and 43/11?
462
Suppose 5*q = 4*l + 29, 5*l + 5*q + 4 + 21 = 0. Calculate the least common multiple of 18 and 5/(-10) + (-15)/l.
18
What is the smallest common multiple of 1*10 + (12 - 65/5) and 34?
306
Let b be 1/(10/(-15) - -1). Let n = b + 8. What is the lowest common multiple of 1 and n?
11
Suppose -8*p + 80 = 2*p. Suppose -5*w = -2*w - 60. What is the lowest common multiple of w and p?
40
Suppose f + d - 19 = 0, -2*f - 5*d + 71 = 2*f. Let l = 17719/8 + -2227. What is the common denominator of l and 1/(f/9)*30?
8
Suppose -4764 = u - 1339. Let b = -13767/4 - u. Find the common denominator of b and 77/16.
16
Let r(u) = -u**3 + u**2 - 7*u + 21. Calculate the lowest common multiple of r(0) and 56.
168
Let q = 32 + -18. What is the least common multiple of 12 and 301/q - 1/2?
84
Let d(t) = -2005*t**3 - t**2 + t. Let i be d(1). What is the common denominator of 4/(-14) - i/280 and -55/2?
8
Let p be 6/(-8) - 788/16. Let a = -44 - p. What is the least common multiple of 9 and a?
18
Let v be 1068/(-7) - 4/(-7). Find the common denominator of 47/30 and 38/v*122/(-3).
30
Let x = -488/15 - -221/30. Let g = -9702 + 1329180/137. Let z = 8786/411 - g. Calculate the common denominator of x and z.
6
Suppose j = 5*t - 23, -4 = 2*t + 3*j - 3. Suppose 3*s + 111 = t*o, -3*s - 2*o - 90 = o. Calculate the common denominator of (-4)/16 - s/(-36) and 31/6.
6
Calculate the least common multiple of (6/4)/((-7)/(-14)) + 21 and 36.
72
Let l = -267/117