.
14
Let s = 6 + -18. What is the common denominator of ((-9)/s)/(9/218) and -43/22?
66
Calculate the smallest common multiple of 3 + 0*3/6 + 3 and 6.
6
Suppose 4*x - 2*x = 0. Suppose -z - 6*f = -2*f - 14, -2*z + 5*f + 15 = x. What is the smallest common multiple of 6 and z?
30
Let c be (8/(-1700))/(0 - 2). Let z = c + -12333/3400. What is the common denominator of z and (-102)/10*(-25)/(-20)?
8
Let q = -2 + 6. Let j(i) = i + 4. Let o be j(-7). Let t = 1 - o. Calculate the least common multiple of q and t.
4
Let c = -51 + 83. Let s = -41193/10 + 4123. What is the common denominator of s and (6/10)/(c/30)?
80
Let q(v) = 2*v**2 + v - 1. Let a be q(1). Calculate the common denominator of (-9)/a*(7 - 2) and -101/2.
2
Let p = 5251/40 - 1061/8. Calculate the common denominator of -19/8 and p.
40
Suppose -3*v + 4*l + 30 = 0, -3*v + 39 = v - 5*l. Let u be 1 - 3/((-3)/(-16)). What is the least common multiple of 12 and (-40)/v*u/10?
60
Let b(r) = r**3 + 5*r**2 - 3*r + 3. Let z be b(-5). Calculate the common denominator of (-15)/2*23/z and 101/10.
60
Suppose -8*d = -4*d + b - 21, -5*d - 2*b = -24. Suppose 3*y = -0*y + 36. Calculate the least common multiple of d and y.
12
Calculate the common denominator of 32/11 and ((-6)/55)/(1 + (-259)/280).
11
Let j = 154 - -194. Calculate the common denominator of -97/16 and 18/j*73/3.
464
What is the lowest common multiple of (-920)/(-104) - 4/(-26) and 30?
90
Let k = 149/7914 + 251249/619930. Let q = -7848979/2820 - k. Let v = 2762 + q. What is the common denominator of v and 23/3?
12
Let u = 1438 - 10086/7. Calculate the common denominator of u and 61/10.
70
Let s(f) = 170*f + 2. Let c be s(-6). Suppose 0 = -2*w, -3*q = 2*q - w + 20. Find the common denominator of -133/18 and q/14 + c/308.
198
Calculate the common denominator of ((-12)/8)/(10/62) and 59/6.
30
Let a(t) = -t**3 - t**2 + 8*t - 5. Calculate the lowest common multiple of 7 and a(-4).
77
Suppose -147 = n - 157. Calculate the lowest common multiple of 10 and n.
10
Let c = -927/172 + 6/43. Let a be (1354/1)/(128/452). Let y = a + -4779. Find the common denominator of c and y.
16
Suppose -2*c - 9 = -5*c. Let q be 6/9 + 4/c. Find the common denominator of 1/6 and (-1)/q - (1 - -12).
6
Let b = 9 + -7. Suppose 0 = b*u - 4*u - 2*z + 14, 2*z + 11 = 3*u. Suppose -u = -2*j - 5*n, -j - 2*n + 3 = -0*n. Calculate the lowest common multiple of 3 and j.
15
Let v be 1/3 + 89/3. Suppose -5*w + v = -2*w. What is the least common multiple of w and 6?
30
Suppose 0 = 3*z - 6*z + 3. What is the least common multiple of z and (-28)/8*4/(-7)?
2
Let j(l) = l**3 - 7*l**2 + 6*l + 4. Let g = -8 + 14. Calculate the lowest common multiple of j(g) and 11.
44
Suppose 7*o = 9*o - 38. What is the least common multiple of 4 and o?
76
Let q = 1/6848 + 126683/34240. Let j = 30604 + -7681618/251. Let l = -4937/3012 - j. Find the common denominator of q and l.
60
Let w(m) = 2*m - 2. What is the smallest common multiple of w(3) and 4?
4
Let c be 6/(-21) + 768/2709. Let h = c - 50558/4515. What is the common denominator of h and 1366/60 + (-6)/(-15)?
30
Suppose 2*q - 2*x - 11336 = 0, q + 0*q + 3*x - 5676 = 0. Let p = 85236759/11 - 7754471. Let d = p + q. Find the common denominator of -62/3 and d.
33
Suppose 2*g + 2 = 0, 0*g + 3*g = -5*p + 417. What is the smallest common multiple of 15 and p?
420
Let u = 123343/24 + -5143. Find the common denominator of 59/24 and u.
24
Suppose 3*b - 96 = -3*x, -5*x + 0*x = -4*b - 196. What is the lowest common multiple of x and 32?
288
Let u(m) = m + 20. What is the smallest common multiple of 16 and u(0)?
80
Suppose -2*q + 249 = -23. Let g = 1095/8 - q. What is the common denominator of g and 32/7?
56
Suppose -3*h = -5*v - 41, 2*h - 59 = -4*v + 5. What is the smallest common multiple of h and 12?
132
Let j = 2119/22 + -97. Let i = -27181/10620 + 5/531. What is the common denominator of j and i?
220
Suppose -h = 2 - 36. Let a = 54/31 + 1241/124. What is the common denominator of h/(-22) - 8/44 and a?
44
Let g = -367/89 - -3000781/727753. Let k be (-384287)/130832 - (-1)/(-2). Let h = g + k. Calculate the common denominator of -121/6 and h.
48
Let t = -9 - -12. Suppose -3*c - 43 = -5*w - 0*c, -5*c + 53 = t*w. What is the lowest common multiple of 4 and w?
44
Suppose p + 23 = -4*z, 2*z + 0*p = 4*p + 2. Calculate the common denominator of 7/2 and z/(-20)*134/(-8).
16
What is the common denominator of -17 and (5 + 428/(-84))*-6?
7
Suppose 4*d = d + 4*k - 11, -2*k + 1 = -3*d. Suppose -4*o - 4 - 6 = d*i, -o = i + 2. What is the smallest common multiple of 13/4 + i/(-8) and 10?
30
Let b be 2715/(-2706) + 2 + -1. Let t = -1322/205 - b. Let x = 39/11 + t. What is the common denominator of x and -62/3?
30
Let k(c) = c**2 - c + 4. Let a be k(3). What is the common denominator of 121/10 and 2 + -2 - 63/a?
10
Let g = 6767/819 - -187/63. Let i = 2447/182 - g. What is the common denominator of i and 71/10?
70
Let b = 2593230314221/31950576 - 824431403/9744. Let g = b - -477/2186. Let m = -3438 - g. Calculate the common denominator of m and -67/8.
72
Let m = -690 - -4163/6. What is the common denominator of -41 and m?
6
Let u(x) = -x**3 + 2*x**2 + 3*x - 1. Let g be u(3). Find the common denominator of 583/(-140) - (-4)/(-14) and g/(6/15*-4).
40
Let c = 12 + -10. What is the smallest common multiple of 6 and c?
6
Let x be (-6)/111*(-230289)/(-900). Let t = 2/925 - x. Find the common denominator of t and 55/3.
6
Suppose 27*o = 30*o - 15. Suppose a + 3*p = 5, -2*a - 2*a + 20 = -o*p. What is the lowest common multiple of 5 and a?
5
Let s = -3 - -5. Suppose -5*b - s*c = -5*c - 88, -c = 4*b - 84. What is the lowest common multiple of 2 and b?
20
Calculate the common denominator of 2 - (-1 + 26/(-24)) and 75/4.
12
Find the common denominator of (2*(-4)/(-40))/(8/205) and 9/32.
32
Let d be 1 + -1 - (1 - 3). Suppose d*t = t + 22. Calculate the lowest common multiple of t and 16.
176
Suppose -26 = -3*l + 31. Let x = -28489/20 + 1426. Find the common denominator of x and (0 - -3)*l/(-54).
180
What is the common denominator of -12 and 40/(-30)*114/20?
5
Let d = 137/4 - 33. Calculate the common denominator of d and 0 - (-1)/(4/162).
4
Let l be (12140/(-25))/((-14)/95). Let g = 3287 - l. Let j = -14385/8 - -1801. Calculate the common denominator of g and j.
56
Suppose 3 = -2*g + 3*g. Find the common denominator of (2/g)/((-16)/105) and -1 + 2 + 19/22.
88
Suppose -13 + 4 = -t. What is the lowest common multiple of t and 54?
54
Let v(q) = q**3 - 10*q**2 + 9*q + 6. Let a be v(9). Calculate the common denominator of ((-57)/(-24))/((-1)/a) and 85/16.
16
Find the common denominator of 43/11 and (-285)/18 + 5/(-15).
66
Let x = 1/1553 + -60571/6212. Let d = -9/245 - 83527/490. Let t = d - -148. Calculate the common denominator of x and t.
4
Suppose 4*w - 25 = 3*w. Suppose h = 6*h - w. What is the lowest common multiple of 1 and h?
5
Let x = -5/514 - -4520/2313. Calculate the common denominator of x and -59/15.
90
Let f(w) = 3*w**3 + w**2 + 2*w - 1. Let y be f(2). What is the common denominator of ((-132)/(-18))/(40/9) and (y/2)/(1/3)?
20
Let q be 1*(3 - 2)*0. Suppose q = -4*g - v + 9 + 14, 5*g = -v + 28. Calculate the least common multiple of 2 and g.
10
Suppose -4*y + 5*j = -45, 4*y - 4*j = 20 + 20. What is the smallest common multiple of 4 and y?
20
Suppose -20 - 10 = -x. Suppose g = 2*h + 15, 2*g + x = -4*h - 4. Calculate the common denominator of ((-134)/8)/((-12)/h) and -58/3.
6
Suppose -12 = 4*b - 44. Suppose -d + 4 = -b. Suppose 5*s = y - 24, -4*y - 5*s = 5 - 51. What is the lowest common multiple of d and y?
84
Let b be (-5)/10 - 215/(-3). Let q = 296/3 - b. What is the common denominator of 77/8 and q?
8
Find the common denominator of 89/6 and ((-142)/(-6))/((-224)/42).
48
Find the common denominator of 119/20 and 303/18*2/(-8).
120
Suppose -3*i + 23 + 19 = 0. Calculate the smallest common multiple of 22 and i.
154
Let u be 192*78/(-21) + -2. Let v = -721 - u. Let d = 29/8 - 199/24. Find the common denominator of v and d.
21
Let i = 137/130 - -128/13. Find the common denominator of -85/6 and i.
30
Let i(q) = -q + 4. Let p be i(3). Let c be (7/21)/(p/(-6)). Calculate the common denominator of (c/(-16))/((-6)/4) and -17/8.
24
Let w = 13273/110 - 594/5. Find the common denominator of