 u = -66 - -158. Suppose -32 = 2*v - 4. Find the common denominator of v/10*u/14 and -73/18.
90
Let q = 138 - 6. What is the common denominator of 355/142*(q/35 - 1) and -59/18?
126
Let i(c) = c**3 + 4*c**2 - 14*c - 18. Let a be i(-6). Let n(o) = -o**2 - 18*o - 39. Calculate the lowest common multiple of n(a) and 48.
528
Let c = -29 - -28. Let b(u) = 20*u**3 + u**2 - u - 2. Let r be b(c). Find the common denominator of -52/3 and 189/r - 6/(-8).
30
Let s = 2/19295 - 12213739/38590. Let f = s - -329. Find the common denominator of f and (-4 + 248/60)/2.
30
Suppose -4*r - 4*f = 0, 5*r - 13 = -3*f - 3. Suppose 5*i = -2*b - 190, 2*b = r*i + 5*b + 195. Find the common denominator of -40/27 and i/60 + 31/135.
27
Suppose -4*y = -0*d + d + 5, 0 = 2*d + 4*y - 2. Let q = d + 2. Suppose 18 = 5*b + o, -5*o - 21 = -2*b - 30. What is the lowest common multiple of q and b?
9
Suppose -8 = -2*l, -4*n - l = -0*n - 12. Let d be (3 + 0 - (0 + n))*35. Find the common denominator of 13/9 and 102/d*-2 + 24/60.
63
Let b = -84 + 82. Find the common denominator of 1/48 and b/(-49)*959/12.
336
Let b = 61 - 36. Let k = b - 23. Suppose 3*w + 17 = 5*n + 4*w, -2*w + k = 2*n. What is the smallest common multiple of n and 11?
44
Let b = -4 - -27. Suppose 3709*a + 3 = 3712*a. What is the lowest common multiple of b and a?
23
Suppose 81*p - 5924 = -5*f + 82*p, -4*f = -3*p - 4726. Calculate the least common multiple of f and 11.
13046
Let y = 7352 + -110354/15. Calculate the common denominator of y and 50/347.
5205
Let l = -358 - -362. Suppose -l*b - 2*w - w = -36, -w = 5*b - 45. Calculate the lowest common multiple of 113 and b.
1017
Let l = -54 + 58. Let v be ((-4)/16*-3)/((-1)/l). What is the lowest common multiple of 10 and v/(-15)*5*22/2?
110
Calculate the least common multiple of 700 and (-3 + -1*4)/(122/(-24400)).
1400
Let n(o) = -7*o**3 - 7*o**2 + 32*o - 14. Let f be n(10). Let r = f - -325359/44. What is the common denominator of r and -87/104?
1144
Let h(z) = z**3 + 42*z**2 - 15*z - 23. What is the least common multiple of h(-26) and 4?
44732
Let i = 121041 - 121032. Let k(o) = -o + 3. Calculate the smallest common multiple of k(-6) and i.
9
Let z = -389766226/951165 + -6/105685. Let y = z - -418. What is the common denominator of y and 2*(-2)/(-4) + -45?
9
Let h(s) be the third derivative of s**6/120 + s**5/6 + 19*s**4/24 + 6*s**3 - 4*s**2 - 17*s. Calculate the lowest common multiple of 22 and h(-8).
132
Suppose 3*r = y - 15, -y - 4*r = r - 7. Suppose 2*w + y = 30. What is the smallest common multiple of w and 8?
72
Let v = 164/2389 + 276967/802704. Calculate the common denominator of v and 89/576.
4032
Suppose -23*u - 546 = -10*u. Calculate the smallest common multiple of ((-7)/u)/(2/(-4))*-135 and 40.
360
Suppose 5*z = -4*k + 10, -4*z + 23 = 3*k - 8*z. Let d = 192 + -200. What is the common denominator of k + -9 - (-8)/(-11) and d?
11
Let a = -210 + 210. Suppose -z - g + 60 = 4*z, a = 5*z + 3*g - 60. Calculate the smallest common multiple of z and 110.
660
Suppose -56*y = -3*y - 212. Let l = 137 + -65. What is the lowest common multiple of l and y?
72
Suppose -90*v = -51*v - 1131. Let y = -6 + 17. Calculate the smallest common multiple of y and v.
319
Find the common denominator of 41/1428 and ((10/(-144))/(-5))/(459/(-297)).
8568
Let h be (-300930)/(-3600) - (-1)/(10/(-4)). Let q = h + -1226/15. What is the common denominator of q and -29/9?
72
What is the common denominator of (-5)/8*(-14)/(-4) and -28 + 25839/4930 + 22?
1360
Suppose -3*n - 45 = 2*n. Find the common denominator of (72/(-32))/(8/72) and (-17)/((-21)/n + 1).
20
Let a = 9979 - 9715. Calculate the lowest common multiple of 42 and a.
1848
Let l = 900 + -838. Let d = 47 - 39. What is the smallest common multiple of l and d?
248
What is the common denominator of 57/242 and ((-2387)/93 - -27)*(-7)/6?
2178
Suppose 12941 = 90*f - 29719. Calculate the least common multiple of 80 and f.
18960
Let g = 13 - 9. Suppose -281 + 330 = y - 5*l, 0 = 5*y - 4*l - 98. What is the smallest common multiple of y and g?
28
Suppose 3224*r + 19610 = -714*r + 98370. Suppose -5*s = 5*v - v + 5, 4*s = -2*v - 4. Calculate the least common multiple of r and -24*((s - -2) + -2).
120
Let x = 114 - 84. Let t = -238 + 244. What is the lowest common multiple of x and t?
30
Let t(g) = 9*g**2 - 4*g - 96. Let n be t(-14). Find the common denominator of 89/136 and 5 - n*4/1088.
136
Let f = 8003239 + -41344732495/5166. Calculate the common denominator of f and -52/9.
5166
Find the common denominator of 29/637 and 2996/(-3087) - (-2)/(-18).
637
Find the common denominator of (((-132)/120)/(-11))/(((-216)/177)/(-3)) and -3/16.
240
Suppose -5*t - 6 = 4. Let f(y) = -4*y - 2. Calculate the lowest common multiple of 464 + -447 - (-2 + 11) and f(t).
24
Suppose 2*u - 5*a - 719 = 0, -749 = -2*u + 118*a - 119*a. Calculate the least common multiple of 10 and u.
1860
Let x(p) = -p**2 - 12*p + 43. Let f be x(-14). Suppose a + i + i = 0, 5*i + f = 0. Calculate the lowest common multiple of a and 66.
66
Suppose -65 = 2*a + 257. Let x = a + 163. Calculate the lowest common multiple of x and 288.
288
Let n(i) = i**2 - 3*i - 19. Let s be n(-8). What is the common denominator of -39 and (15/(-315))/(1/s)?
7
Suppose g = -3*y - 57, 4*g - g - y = -181. Let r be (-19 + g)/(-1 - (1 + -3)). Let b = r - -91. Calculate the lowest common multiple of b and 32.
96
Let q = 21207/8 - 2657. What is the common denominator of q and (-5129)/(-828) + (-8)/(-9)?
24
Let t(h) = -h**2 - 27*h - 34. Let d be (5/2*-10)/1. What is the least common multiple of 138 and t(d)?
1104
Let v = -850 + 1380. Calculate the least common multiple of v and 1378.
6890
Let b = -19 + 24. Let p(r) = r**2 - 11*r + 23. Let x be p(8). What is the lowest common multiple of x/(13/(-13) + 11/12) and b?
60
Let u = 146 - 173. Let h = -20 - u. Calculate the lowest common multiple of h and 8.
56
Let x be (-38431)/33*13 - -1. Let f = x + 15136. Find the common denominator of f and (2465/816 - 3)/(1/142).
264
Let q(x) = 2*x**3 - 4*x**2 + 2*x - 3. Let d be q(5). Suppose -15*u + d = 22. Calculate the lowest common multiple of 156 and u.
468
Let h = -4699 + 65851/14. Let l = 35/3 - 61/3. What is the common denominator of l and h?
42
Let k(d) = d**3 + 30*d**2 + d + 23. Let x be k(-30). What is the common denominator of (x/140)/((-3)/339)*1 and 57/10?
20
Let l be (-16280)/(-52) + (1 - 1). Let p = -74833/234 + l. Find the common denominator of (246/12 - 7) + (-15)/(-20)*4 and p.
18
Let n(y) = 21*y**3 - y**2 - y + 1. Let q = 304 + -300. What is the smallest common multiple of (2/q)/((-13)/78) + 29 and n(1)?
260
Let o be (101 - (-3 - 2)) + 2. Suppose o = -r + 4*r. Calculate the smallest common multiple of r and 32.
288
Let n be -14 - 4 - (3 - 9)/(-3). Let x(h) = h + 144. Calculate the lowest common multiple of x(n) and 12.
372
Suppose -4*v - 34 = q + 19, 59 = -4*v + q. Calculate the common denominator of 842*2/504 - (-4)/v and 65/12.
36
Find the common denominator of -81/22 and 87288/(-111072) - 6/(-8).
25454
Suppose -7 = -4*f - k, 5*k + 31 = -4*f + 6*f. Let s be f/((6/(-2))/(1 - 2)). What is the common denominator of (0 - 47)/(s + 4/4) and -43/7?
14
Let x(y) = y**2 - y + 4. Let o be x(-10). Calculate the lowest common multiple of o/14 + ((-204)/(-42) - 5) and 36.
72
Suppose 3*w - 4*r = 4 + 19, 0 = 4*w + 3*r - 14. Suppose -2*y - 25 = -3. What is the least common multiple of w and 3*3/((-9)/y)?
55
Let u = -28 - -25. Let l be ((-2)/u)/((-30)/(-2745)). Suppose -d + l - 43 = 0. What is the least common multiple of d and 10?
90
Let c = 2473 + -19745/8. Let n be (-18)/3594*(-3)/(-162). Let j = 180592/70083 - n. What is the common denominator of j and c?
104
Suppose -2*m = -5*m - 63138. Let l = -252691/12 - m. What is the common denominator of 35/3 - (-1)/4 and l?
12
What is the common denominator of (-2 - 7/(-5)) + (-1117409)/(-1581940) and -139/12?
2172
Suppose -848 - 592 = -60*a. What is the smallest common multiple of a and 120?
120
Suppose -u - 718 = -3*m, 54*m + 2*u = 53*m + 244. What is the least common multiple of m and 16?
240
Let h = -1969/204 + 109/102. What is the common denominator of h and 53/3597?
14388
Let g = -38 - -30. Let q = -3 - g. Suppose -q*b + 3 + 2 = 0, 3*v + 3*b = 78. Calculate the lowest common mul