
12
Let p be 160498/8*(66/(-16) + 4). Let f = 2507 + p. Calculate the common denominator of f and 15/2.
32
Let s(p) = -2*p**2 - 3*p - 2. Let x be s(-1). Calculate the common denominator of -71/4 and (-4 - x) + 88/12.
12
Suppose 7*b - 9*b = -86. Suppose b = 6*w - 53. Calculate the lowest common multiple of w and 26.
208
Suppose -27*g + 72 - 18 = 0. Let o be (590/(-3))/((-1)/(-6)). Find the common denominator of (o/32)/(-5) - g and -4/23.
184
Suppose 1 + 23 = 3*n. Suppose -9*j = -7*j + n. Calculate the smallest common multiple of 2 and (6/j)/(9/(-12)).
2
Suppose 8*k - 854 = -134. What is the common denominator of (-6)/10 - 501/k and -3/37?
222
Suppose -3*k + 24 = -7*k. Let y(f) = 2*f**2 + 10*f + 7. Let o be y(k). Suppose -n = -0*n + d - 5, o = 3*n + d. Calculate the lowest common multiple of 9 and n.
63
Let m = 1281/4 - 57631/180. Calculate the common denominator of 35/134 and m.
6030
Calculate the common denominator of 11/50 and ((-98)/(-175))/((-12)/40).
150
Let w(c) = 17*c - 892. Suppose 6*f = 2*f + 16. What is the smallest common multiple of f and w(53)?
36
Suppose -2*x + x + 2*n + 16 = 0, n - 25 = -5*x. Let m = -55 - -61. Calculate the least common multiple of x and m.
6
Let v = -1536 + 1546. What is the smallest common multiple of v and 30?
30
Let z = -18491/30 + 616. Calculate the common denominator of z and -71/132.
660
Let o(p) = -p**2 + 28*p + 294. Calculate the lowest common multiple of o(36) and 22.
66
What is the common denominator of (((-11615)/(-40))/(-23))/(-4) and 27/16?
32
What is the least common multiple of (3/2 + 0)*(-4 + 6) and 6?
6
Let b(l) = -l**3 - 3*l**2 - 3*l - 1. Let u be b(-2). Calculate the common denominator of 650/(-40) + (u - 0) and 1/8.
8
Let r be (-2 + 8)/2 - 3. Suppose -5*l - 5 + r = 0, 5*w + 3*l - 22 = 0. Let i = w + 6. What is the smallest common multiple of i and 11?
11
Suppose 23 - 131 = -9*p. What is the smallest common multiple of p and 6?
12
Suppose -3*g + 8 + 1 = 0. Suppose -4*d - 32 = -3*l, -l + 7*d = g*d. What is the common denominator of (1/l)/(10/328) and 11/16?
80
Let a(g) = 11*g**2 + 80*g - 16. Calculate the least common multiple of 33 and a(-8).
528
Calculate the common denominator of -57/626 and (-1)/(-3)*((-11571)/(-70))/19.
3130
Let m = -166183/34380 - 28/1719. What is the common denominator of m and 4 + (-130)/44 + -3?
220
Let n = 1601 + -1295. Calculate the least common multiple of 204 and n.
612
Let o = 854 - 792. Let p = 19 - 11. What is the least common multiple of p and o?
248
What is the common denominator of (-6394)/2760 - 1/4 and 103/18?
90
Suppose 5 = 3*k - b - 11, 2*k + 5*b = 22. Suppose 7 = 3*v - 3*y - 20, -2*y - 6 = 0. Suppose v + 16 = l. What is the lowest common multiple of l and k?
66
Let x be (-105864)/9*30/4. Let g = -3529389/40 - x. Let u = 209/8 + g. Find the common denominator of -52/11 and u.
55
Suppose 1 = -3*h + 10, h + 77 = -2*x. Find the common denominator of 10/(-45) - 9/2 and (-34)/x - (-6)/15.
36
Let s = 52141/1540 - 933/28. What is the common denominator of s and 9/100?
1100
Let y(o) = -o**3 - 5*o**2 + 3*o - 8. Calculate the least common multiple of (-2)/(-30) + 31356/3510 and y(-6).
90
Let j be (-2)/8 + (1089/(-12))/(-3). Calculate the common denominator of 67/3 and (-602)/28*4/j.
15
Suppose -4 = -3*s + 2. Suppose 30 = -s*w + 5*w. What is the common denominator of (-3)/(-5) - (-309)/w and -61/10?
10
Let p = -6915/91 - -512/7. What is the common denominator of -107/192 and p?
2496
Let o be 33890/8*670/(-225). Let x = o - -12610. Calculate the common denominator of 19/12 and x.
36
What is the lowest common multiple of (88/66 - 52/3)/(-2) and 36?
72
Suppose 0 = 3*g - 15, -g - 1 = -4*q - 6. Suppose q = -4*s - s + 90. Calculate the lowest common multiple of 4 and s.
36
Let u = 6 - 13. Let o = 13 + u. Suppose -4 = -2*m - 0*m. What is the lowest common multiple of m and o?
6
Suppose -2*u + 12 - 4 = 0. Suppose 3*v + 400 + 119 = -4*k, 649 = -5*k - u*v. Let l = k - -899/7. What is the common denominator of l and -38?
7
Let n = -17743 + 1242107/70. Calculate the common denominator of n and -32/21.
210
Let u = -33 - -41. Let j = u - 11. What is the common denominator of (4/40)/(j/201) and -79/18?
90
Let b be (4/(-8)*2)/1. Let k be 2 + (1 - b) + 3. Calculate the common denominator of -5 and 3 + 2/k + 4.
7
Let l(n) = 22*n + 8. Suppose -t + 4 = 18. What is the common denominator of 80/t*(-12)/30 and l(-1)?
7
Let q(s) = 3*s + 2*s - 2 + 3*s. Let t(l) = l**3 + 5*l**2 - 2. What is the lowest common multiple of q(1) and t(-4)?
42
What is the lowest common multiple of -1 - -1 - (29 - 35) and 2/8 - 35/(-4)?
18
What is the least common multiple of 44 and ((-315)/36 + 8)*(-20)/3?
220
Suppose -4*m = -8, 2*k + 5*m + 0 - 22 = 0. Let n be 0 - (-5)/(-1 - -2). Calculate the least common multiple of k and ((-4)/n)/(4/(-10)).
6
What is the common denominator of -1 + 3 + (-1359)/972 and -65/54?
108
Let p(s) = -20*s**2 + 9*s + 3. Let g be p(-6). Let f = g + 1483/2. What is the common denominator of 75/132 - (-3)/2 and f?
44
Suppose -11 = -y + 3. Suppose 2*n = 14 + y. Suppose 8*d - d = 14. Calculate the least common multiple of d and n.
14
Let h = 384 - 596. What is the common denominator of 2 + (27/42)/(-3) and (-2)/(-4)*h/20?
70
Suppose -3*g = -5*g + 24866. Let y be (-3)/(-12) - g/84. Let v = y + 934/7. Calculate the common denominator of 48/7 and v.
21
Let i = 2728/7 - 395. Let q be ((-66)/15 - -5) + 26/(-10). Find the common denominator of i and ((-60)/(-64))/((-3)/q - 0).
56
Let g(v) = 6*v**2 + 10*v - 7. What is the lowest common multiple of 1 and g(-9)?
389
Let r be (-6)/(-9)*-10*(-1224)/(-16). Let v = -18361/36 - r. What is the common denominator of -71/18 and v?
36
Let i = 13876 + -54889/4. Let u be (1/(-1))/((-1)/158). Let j = i - u. What is the common denominator of -11/4 and j?
4
Let c be 0*(-2)/(-4) - (-26205)/540. Let p = -191/4 + c. What is the common denominator of p and 43/2?
18
Suppose -2 = 5*v - 62. What is the least common multiple of v and (-2 - -1) + (23 - 1)?
84
Suppose 0 = -2*q + 5*q. Suppose 0*o - 2*o + 198 = q. What is the common denominator of -35/16 and o*((-44)/(-16) - 3)?
16
Calculate the common denominator of (-2343)/(-2142) + (-10)/70 and 50/27.
918
Suppose 57 = 5*w - u, -3*u + 69 = 5*w - 0*u. What is the least common multiple of 45 and (-14)/(-2) + w/4?
90
Suppose 4*u - 288 = -3*z - z, -4*u - 387 = -5*z. What is the smallest common multiple of 15 and z?
75
Let v = 27 + -19. What is the smallest common multiple of -12 + 21 + (2 - 5) + 2 and v?
8
Let s = -1707/4 - -430. Suppose 2*i - 81 = -4*d - 237, 3*i - 173 = 5*d. What is the common denominator of d and s?
4
Calculate the common denominator of -151/408 and (-6)/21 - (8 - (-171)/(-378)).
408
Let a(q) = q**3 + 27*q**2 + 163*q - 22. What is the lowest common multiple of 528 and a(-10)?
528
Suppose 2*k = -4*m + 37 + 29, -5*k + 39 = m. Let l = m - -2. Calculate the least common multiple of 16 and l.
16
Suppose -93 = -7*d + 215. What is the smallest common multiple of d and 16?
176
Let s = 13 + 57. Let a = 50 - s. What is the common denominator of (-182)/21*21/a and 7/16?
80
Let b = 660 - 7245/11. What is the common denominator of b and ((-3)/8)/(18/328)?
66
Let p be ((-44)/(-10))/((-10)/50). Let q = p + 23. Suppose -3*j + q = -8. Calculate the smallest common multiple of 2 and j.
6
Suppose -271*f = i - 276*f - 30, -2*i + 90 = 5*f. Calculate the lowest common multiple of i and 96.
480
Suppose -s - 13 = -3*y, -y - 4*s + 14 = -2*y. What is the common denominator of 41/9 and -1*1423/(-264) - y/33?
72
Let v(d) = d**3 - 2*d - 3. Let a be v(0). Calculate the common denominator of 179/12 + (-2)/(-8) and 45*-2*(a/(-22))/(-3).
66
Let b be 4/(-12) + (-2)/(-5 + -1). Suppose b = -2*s + 7*s - 65. What is the lowest common multiple of s and 1?
13
Find the common denominator of (19/3)/(36/81) and ((-21)/(-9))/((-116)/120*-2).
116
Suppose 4*p - 10 = 18. Suppose -5 - p = -4*n. Suppose -n*r + 9 = -3. What is the least common multiple of r and 12?
12
Suppose 0 = -d - 5 + 13. Let w(g) = -8*g - 20. Calculate the lowest common multiple of d and w(-5).
40
Let v = -35 + -24. Let p = -50 - v. Calculate the least common multiple of 1 and p.
9
Let q(o) = -10*o - 176. What is the smallest common multiple of 32 and q(-22)?
352
Suppose 3*n = -n