
20
Let n = -224473/132444 - -3/7358. Calculate the common denominator of n and 140/(-6)*(-1 - -2).
36
Suppose m = 5*q + 24, 5*m = -9 + 29. Let a be (q + 1)*(-1)/1. Suppose 5*g + 35 = a*h, 2*h + 3*g = -3*h + 13. Calculate the smallest common multiple of h and 9.
45
Suppose 56*x - 52*x = 4. Suppose 5*z = 103 + 62. Suppose -2*t - t + z = 0. Calculate the least common multiple of x and t.
11
Calculate the common denominator of ((-7802)/498)/((-40)/(-3)) and 79/20.
40
Suppose -8*m + 5*m + 60 = 0. Calculate the common denominator of (12/(-45))/(3/m) and -29/6.
18
Suppose 0 = -2*i + 2*f + 24, 4*i - 56 = 3*f - f. Calculate the lowest common multiple of 14 and i.
112
Let g = 55 + -54. Calculate the common denominator of (-1 - (g - 3))/((-8)/2) and 65/18.
36
Let r(w) = 2*w + 37. Let y be r(7). Let q = y + -29. What is the least common multiple of 18 and q?
198
Let w = -16/1011 + 110359/10110. Find the common denominator of w and -5/62.
310
Suppose -y = -3*o - 430, -3*o = 4*y - 882 - 883. Find the common denominator of 8/3 and -3*(-28)/105 - y/(-120).
24
Let w = -577 - -587. Calculate the lowest common multiple of w and 30.
30
Let r = 175 + -157. What is the least common multiple of 338 and r?
3042
Suppose -6 + 23 = 4*w - 5*t, -5*t - 5 = 0. Suppose 4*q - 20 = -q. Suppose -27 = -q*k + y, w*y = 4 - 13. Calculate the lowest common multiple of 4 and k.
12
Calculate the smallest common multiple of 160 and 116/16 - 15/12.
480
Let h(b) = -40*b - 271. What is the lowest common multiple of 30 and h(-7)?
90
Let k = 8 - 2. Suppose -4*f = -3*t - 4, -k*t + 4*f = -t - 4. Calculate the common denominator of 99/8 and 10/16 + (t - 1).
8
Let w = -17 + 12. Let j be 0 + w/(5/3). Let r(g) = -5*g - 5. Calculate the lowest common multiple of r(j) and 2.
10
Let t(d) = -d**3 + 17*d**2 + 16*d - 38. Calculate the smallest common multiple of t(17) and 18.
234
Let m = -292687/18 + 16267. Calculate the common denominator of 130/12*(-3)/2 and m.
36
Find the common denominator of 16/415 and (-26 + 38)*(-2)/4.
415
Calculate the common denominator of (-1)/(-10)*122/1 and (-31)/20*2475/330.
40
Suppose -3*a + 2*g = -a - 788, -4*g - 1185 = -3*a. Suppose -a = -4*z - 67. What is the lowest common multiple of 20 and 3/5 + z/15?
60
Let y = -2 - -6. Suppose y*l + 22 = 2. Let a(n) = n**2 + 5*n + 1. Calculate the smallest common multiple of a(l) and 10.
10
Let f(z) = z + 23. Let n be f(-17). Calculate the lowest common multiple of ((-9)/4)/((-948)/(-160) - n) and 27.
270
What is the lowest common multiple of 8 and (22/(-8))/(6 + 1737/(-288))?
88
Let i(l) = -4 + 6*l**2 + 3*l**3 - 2*l**3 + 0*l**3 - 8*l. Calculate the lowest common multiple of -4 - 6/9*-18 and i(-7).
24
Let a = 0 - -8. Suppose 4*z = -13 + 1, 3*z - 285 = -3*u. Suppose -5*d + 4*c + u = 0, -2*d - c + 8 = -26. What is the lowest common multiple of a and d?
72
Suppose -383 = -20*t + 577. Calculate the least common multiple of 30 and t.
240
Let p = -111 - -363. Calculate the lowest common multiple of 58 and p.
7308
Suppose 0 = -2*x + 4, 7*s - 6*s - 3*x + 5 = 0. Calculate the common denominator of (s/9)/((-20)/470) and 3/(-12) + 195/24.
72
Let i = 76334 + -66486923/871. Let c = 1/1040026686 + -12941312063618/3170521352271. Let x = c - i. Calculate the common denominator of -39/2 and x.
14
Let l = 8 - 2. Suppose 2*k + 1 = 3. Let q = l - k. What is the least common multiple of 6 and q?
30
What is the smallest common multiple of ((-620)/(-93))/(2/27) and 72?
360
What is the common denominator of (896/(-12))/4 + (-3)/2 and -22/31?
186
Suppose 20 = -3*a + 4*a. Suppose -5 = o - 4*q, -3*o + 3*q + 14 = -7. Let v = a - o. Calculate the lowest common multiple of 11 and v.
99
Let s(v) = -2*v**2 + 8*v**2 + v**3 - 6 - 4*v - 2. Let j = 596 - 602. What is the lowest common multiple of 8 and s(j)?
16
Suppose 44*q + 33 = 47*q. What is the smallest common multiple of 24 and q?
264
Suppose 0 = -6*q - 0*q + 24. Suppose 0 = -v - 3*v - 2*j + 24, -q*v + j + 30 = 0. Calculate the smallest common multiple of v and 11.
77
Let s(b) = -b**3 - 3*b**2 - 3*b + 1. Let n be s(-3). Let f = -4 + n. Let g = 10760 + -10759. What is the smallest common multiple of f and g?
6
Let x = 6 - -4. Calculate the common denominator of (-57)/x - (17 - 21) and -115/12.
60
Let h = 12/505 - 15823/7070. Let y = -168531/281111 + 196/327. Let c = -750469/154740 + y. What is the common denominator of c and h?
140
Suppose -5*c + 131 = -254. Calculate the common denominator of 53/42 + 33/c and 53/9.
126
Suppose -2*s = 2*s + 12. What is the common denominator of -5/9 and ((-9)/s + -17)*12/(-80)?
90
Let z(m) = 2*m**2 + 2*m - 4. Suppose 2*c + 2*p = 0, c - 3*p + 20 = p. Let b be (c/(-6))/(5/(-30)). Calculate the least common multiple of z(b) and 10.
20
Let b(a) = 4*a**2 - 160*a - 149. Suppose 0*r + 3*n = -5*r + 153, 0 = -5*n + 5. What is the least common multiple of r and b(41)?
30
Let s = -33 - -59. Let v(f) = f**3 + 14*f**2 - 35*f - 32. What is the least common multiple of s and v(-16)?
208
Let x = -92659/10 + 9255. What is the common denominator of (-136)/558 + (-2)/(-9) and x?
930
Let t be 3 - (-5 - (-3 - (-2 - -1))). Calculate the least common multiple of (t/8)/(2/32 - 0) and 36.
36
Suppose -26*d + 6 = 2*n - 27*d, -4 = -2*d. Calculate the smallest common multiple of 242 and n.
484
Let l = 16 + -76/5. What is the common denominator of l and -49/11?
55
Let m = -111199/499310 + 13/2038. Calculate the common denominator of -4/245 and m.
245
Let q = 3570917/3312 - 24818/23. Find the common denominator of 53/3 and q.
144
Suppose -2*q + 142 = -3*j, 135 + 100 = 3*q + j. What is the smallest common multiple of 21 and q?
231
Suppose -5*k = -140 + 40. Suppose -k*i + 80 = -16*i. Calculate the smallest common multiple of 20 and i.
20
Suppose -2*s - 4*g + g = 896524, -s + 5*g = 448275. Let m = s + 914413/2. Let u = 107447/12 - m. Calculate the common denominator of u and -25/12.
12
Suppose -g = g - 44. Let n = g + -4. Suppose 20 = -3*d + 8*d. Calculate the smallest common multiple of n and d.
36
Suppose 5*x - 9 = -24. Find the common denominator of x/(-2) + 813/(-420)*1 and -71/20.
140
Let o(z) = -z**2 + 3*z + 16. Let j be 1/3 - 11/33. Let a = -12 + 20. Calculate the least common multiple of a and o(j).
16
Let m be (-7)/((-36680)/19785)*44/(-18). Let a = m + 41/131. Find the common denominator of a and -167/30.
60
Suppose -24*j + 73 = -71. Calculate the smallest common multiple of j and 30.
30
What is the common denominator of 63/40 and (-2*(-1)/(-10))/((-2600)/6305)?
200
Let m(r) = -5*r**2 - 10*r - 22. Let z be m(-18). Let k = z - -17561/12. Calculate the common denominator of k and -91/4.
12
Let b = 37 + -42. Find the common denominator of (-1)/b*(-4750)/40 and 19/21.
84
Let b = 15290/3689 - 1/527. Calculate the common denominator of -49/2017 and b.
14119
Let r be (4 - 0)/(4/(-52)). Suppose -5*l + 5*u = 9*u - 3, 12 = 3*l - u. Calculate the lowest common multiple of l and r/(-14) + (-2)/(-7).
12
Let i be -3*4/(-24)*22. Let t = 18 + i. Suppose -z = -t + 18. What is the smallest common multiple of 3 and z?
33
Suppose t = 7 - 51. Let s = -14 - t. Find the common denominator of 63/4 and (-39)/s - (-4)/2.
20
Suppose 3*h - 4*h + 4*x = 14, -5*x = -25. Suppose 4*s + 76 = h*s. Calculate the least common multiple of s and 16.
304
Suppose -2*j + 92 = 3*q, j + 57 = 4*q - 51. What is the lowest common multiple of 8 and q?
56
Let z = 4/505 + 31274/4545. Let b = 2237/513 - 111/19. What is the common denominator of b and z?
27
Let s(z) = 17*z - 215. What is the smallest common multiple of 253 and s(14)?
253
Let w = -3/3587 - -182958/25109. Find the common denominator of w and -26/69.
483
Suppose 7*d - 5 = 16. Let m(q) = -q**3 - 2*q**2 + q - 4. Let k be m(-3). Suppose k*p = d + 21. What is the lowest common multiple of p and 2?
12
Suppose -8*p = -54 - 10. What is the lowest common multiple of p and 14?
56
Let h(r) = -r**3 + 4*r + 4. Let v be h(-3). What is the smallest common multiple of (-3 - -1)/(-12 + (-786)/(-66)) and -1 + 2/(2/v)?
198
Let k be (-9)/(27/(-6)) - (-1164)/(-578). Let j = k + -8887/5202. What is the common denominator of 19/18 and j?
18
What is the least common multiple of 16 and 3378/24 + (-6)/(-16)*-2?
560
What is the least common multiple of 460 and (-18 - (-1529)/77) + (-2)/(-14)?
460
Let x(w) = -w