.
1080
Suppose 1349 = -21*v + 5129. What is the smallest common multiple of v and 36?
180
Let g = 1599/8 + -199. Let b(q) = -155*q**3 + 5*q**2 + 5*q - 7. Let n be b(5). Let c = -230635/12 - n. What is the common denominator of c and g?
24
Let k be ((-7)/5)/((-104)/20 + 5). Suppose -k*c + 18 = -c. What is the lowest common multiple of 6 and c?
6
What is the common denominator of (-33 + 4)*-1*(-4)/(-56) and (-15)/(-12)*(-2)/10?
28
Suppose 0 = 2*n - 3*o - 7, -3*o + 3 + 0 = 3*n. Find the common denominator of -107/12 and n/3 - 3/54*-65.
36
Suppose 0 = 4*b + b. Suppose 2*k + 1128 = -b*k. Calculate the common denominator of -75/4 and (-1 - k/(-4))/(-8).
4
Suppose h - 2*n - 3*n = 56, 0 = h - 4*n - 58. What is the least common multiple of 60 and h?
660
What is the smallest common multiple of 14/42*(-3 - -12) and 46?
138
Let m = 708 + 1124. Let q = -14687/8 + m. Find the common denominator of q and -58/9.
72
Suppose -5*f = -41 + 16. Let u(q) = -2*q**2 + 7*q + 12. Let m be u(f). Calculate the common denominator of 927/(-228)*(-2)/m and -29/8.
152
Calculate the common denominator of -119/6 and 0 + -1 - (-1652)/840.
30
Let p be -2*(16/4 - 5). Let c be (-4 - (0 - p))*10. Let i = c - -25. Calculate the lowest common multiple of 9 and i.
45
Let z be (200/(-14))/(-2 + 4). Let f be 558/28*(-8)/(-24) + -4. Let v = f + z. Find the common denominator of v and -67/4.
4
Let l = -227887/32 + 7120. What is the common denominator of 77/136 and l?
544
Let x(u) = 2*u**2 - u. Let z = 227 + -212. What is the lowest common multiple of z and x(2)?
30
Suppose 2*d + 26 = 4*s, 3*s = -d + 5*d + 22. Let o = s - -2. Let a = -2 - -10. Calculate the smallest common multiple of o and a.
8
Suppose -12 = -x - 2*x. Suppose -14*k + 10*k = -12. Suppose -4*q = q + k*g - 59, g + 27 = 3*q. What is the smallest common multiple of q and x?
20
Suppose -121*f = -115*f - 1800. Calculate the lowest common multiple of f and 3.
300
Let o = 37539/35 - 1073. Calculate the common denominator of o and 32/35.
35
Let u(j) = -47*j - 3. Let g be u(2). Let x = -4 - -1. Calculate the common denominator of (x/(-6))/(1/g) and 59/8.
8
Find the common denominator of 7/3 and (-1)/5*(-110)/264.
12
Suppose 7*u = 2*u. Suppose -b - 4*b + 45 = u. Calculate the common denominator of (-43)/b - 6/6 and -51/8.
72
Let z(x) = 5*x**3 + x - 10. Calculate the smallest common multiple of 32 and z(2).
32
Let q be 4/(-10) + (-328)/(-20). Suppose 6*l = -2*l + q. Calculate the lowest common multiple of (-28)/(-6) + (-4)/6 and l.
4
Let k(n) = -8*n**2 + 11*n - 9. Let g be 1*-7*(4 - 5). Let u be k(g). Calculate the common denominator of 13/16 and (6/(-16))/((-6)/u).
16
Let z = 3801 - 3785. Let y be ((-16)/10)/((-2)/10). Let t = y + 12. Calculate the smallest common multiple of t and z.
80
Let u(s) = 127*s - 594. Calculate the lowest common multiple of 2 and u(8).
422
Let i(r) = 2*r + 15. Let k(d) = -2*d - 8. Let c be k(4). Let a = c - -26. What is the smallest common multiple of i(-4) and a?
70
What is the common denominator of -111/56 and ((-1206)/42 + 4)/(-6)?
168
Let i = -3253383/5 + 56319659/90. Let q = i + 24895. Find the common denominator of q and (-504)/(-256) - (1 + -1).
288
Find the common denominator of 117/28 and 14/(-8)*9/4.
112
Let l = -29 - -75. Let c(p) = p**3 + 5*p**2 - 2. Suppose 6*h = 4 - 28. What is the lowest common multiple of c(h) and l?
322
Suppose 5*o - 4*m + 6 = 0, 2*o + m = -0 + 8. Calculate the lowest common multiple of o and 416.
416
Let w = -34 - -23. Let z = w + 15. Suppose h - 13 = -2*s, -z*s + h + 5 = -3*s. Calculate the smallest common multiple of s and 3.
6
Let i = 3292/3 + -1086. Suppose 4*v - 4 = -4*y + y, -2*y + 3*v = -31. Calculate the common denominator of 1255/(-60) + 6/y and i.
6
Let o = 2749 - 41266/15. Let g = 41507/9 + -4606. What is the common denominator of g and o?
45
Suppose -31*p + 4 = -27*p. Let i = -13 + 24. Calculate the least common multiple of p and i.
11
Let j = -19/77 + 2229/1232. Suppose -u = u + 1286. Let d = u + 4509/7. What is the common denominator of d and j?
112
Find the common denominator of -61/36 and 354/40*(-48)/1296.
180
Suppose -45 = -3*y - 6. Let m = y - -2. Calculate the common denominator of 24/(-2)*m/28 and 51/11.
77
Let n = -1450/31 + 697505/14942. What is the common denominator of 79/4 and n?
964
Calculate the common denominator of 79/126 and ((-10)/180)/((-6)/369).
252
Suppose 4*x - 4*w = -20, w - 7 = 2*x - 0*w. What is the lowest common multiple of (-27 - (-4 - -3))/x + -3 and 8?
40
Suppose 2*z = 4*z - 12. Suppose 0 = -2*v - 0 - 2. What is the lowest common multiple of (v - -4)*(-2)/(-1) and z?
6
Suppose -4 = 2*f, -4*f = 5*j - 4*j - 3123. Let x = -65836/21 + j. Calculate the common denominator of x and 80/33.
231
Suppose 4*o - 5*x - 50 = 0, 2*o + 5*x - 40 = -0*x. What is the smallest common multiple of o and 48?
240
Let y be (-14)/32*42 + (-24)/(-64). Find the common denominator of 12/(-2)*5*y/264 and 59/14.
154
Let q = 699/7 - 12827/126. Calculate the common denominator of q and 15/22.
198
Calculate the common denominator of ((-4)/6)/((-288)/6840) and 85/651.
1302
Let o(h) = h**2 + 3*h - 22. Let a be o(-8). Calculate the common denominator of 52/9 and (-238)/60 - 9/a.
45
Let o be (9/6)/((-12)/(-2476)). Let m = 3703/12 - o. What is the common denominator of -61/2 and m?
12
Suppose -5*k - 546 = 429. Calculate the smallest common multiple of k/(-3) + (-3)/(-1) and 4.
68
Suppose 5*x - 51 = -3*d, 3*x = 4*d - 0*d - 39. Calculate the common denominator of -25/8 and 137/(-84) + d/(-42).
24
What is the smallest common multiple of 72 and 6*8 - 0/(7 + -15)?
144
Let n = -19 - -19. Suppose -5*k + 2*k = n. Suppose k*g + 4*r - 8 = -4*g, 4*g - 28 = r. What is the lowest common multiple of g and 8?
24
Suppose 0 = -3*g - 117 + 225. Suppose 5*m - 99 = 81. What is the least common multiple of g and m?
36
Suppose -r + 5*r = 20. Suppose -2*n + 5*l + 38 = r, -5*n + 130 = -3*l. Suppose n = 3*d - 4*f, -d - f - 1 = -13. What is the least common multiple of 6 and d?
66
Let z(m) = m**3 + 4*m**2 - 6*m - 2. Let c be z(-5). Suppose 3*q + 16 = 4, c*h + 4*q = -4. Calculate the least common multiple of 8 and (12/h - 4)*-4.
8
Let k(j) = 31*j**3 + 9*j**2 - 9*j. Let a be k(-8). Let c be (5/20)/(a/(-110470)). Let i = -3/1903 + c. Find the common denominator of 53/4 and i.
16
Suppose -1641 = -21*k + 123. What is the least common multiple of k and 30?
420
Suppose 3*m + 5*h - 29 = 0, 2*m + h - 10 - 7 = 0. Let d be (-10)/25 - 86/10. What is the smallest common multiple of (21/d - -2)*-15 and m?
40
Let j = -1 + -1. Let g(n) = 15*n**2 - 2. Let c be g(j). Suppose 0 = -4*v - v - 2*k + c, 0 = v + 3*k - 9. What is the lowest common multiple of v and 18?
36
Let g = -246 - -367. Calculate the lowest common multiple of g and 44.
484
Suppose -3*w - 2*w + 5755 = 0. Let y = w + -4663/4. Let l = 2927 - 32206/11. What is the common denominator of y and l?
44
Suppose 0 = 2*q - 4*y - 4, q - 5*q + 4*y + 24 = 0. Let f be 1*(-3 - 0) + -6. What is the least common multiple of q and (-24)/f*(-15)/(-10)?
20
Suppose -5*p - 25 = 0, -b = -3*b + 3*p + 17. Let u(l) = 19*l**3 - 2*l**2 + 2*l - 1. Calculate the lowest common multiple of u(b) and 4.
36
Let m be (-2)/8 + (2 - 4/(-16)). What is the common denominator of m/(-3 + (-135)/(-24)) and -59/3?
21
Let v = -171107/1620 - -528/5. What is the common denominator of v and 1/33?
3564
Suppose 186*d = 180*d + 672. Calculate the smallest common multiple of d and 154.
1232
Suppose 3 = 2*f - 55. Let w be -5 + 5 + f/(-45). Let y = w + -4/5. What is the common denominator of y and 139/6?
18
Find the common denominator of ((-22)/21 + 0)/(160/(-24)) and 20/77.
770
Suppose 106 = 9*v - 56. What is the lowest common multiple of v and 135?
270
Suppose 0 = -4*h - 291 + 1011. What is the common denominator of 85/12 and -4 - 835/h*-2?
36
Let s = 397 - 831/2. What is the common denominator of (0 + -2)/(2/(-21)) and s?
2
Let n be 72/88*3114/(-4). Let j = 1269/2 + n. What is the common denominator of 22/7 and j?
77
Let f = -2/33699 + 864949/134796. What is the common denominator of f and -107/44?
132
Let g = -3861 - -15531/4. Let i(s) = 2*s. Let n be i(8). Find the common denominator of g and ((-177)/9)/(n/6).
8
Let w = 20 - 29. Let b = w - -71. What is the lowest common multiple of 22 and b?