
294
Let t = 64357/164 - 4705/12. Calculate the common denominator of t and -13/4.
492
Let r = -5/1036 - -62693/3108. Find the common denominator of r and 151/12.
12
Suppose 0 = 3*h - 15, -3*d + 4*h - 12 = 20. Let c be d + 0 - (5 - 2). Let n = 17 + c. What is the smallest common multiple of n and 8?
40
Let n(p) = p**3 - 10*p**2 + 5. Let m be n(10). Suppose -4*x + 32 = 4*s, m*x - x + 13 = 5*s. Let g = -11 + 18. Calculate the lowest common multiple of g and x.
21
Let n = 7226957 - 4798700855/664. Let j = -1/166 + n. Find the common denominator of j and 138*(-4)/240*3.
40
Let z = -181839 - -912983/5. Let p = 7529/10 - z. Calculate the common denominator of 11767/(-4059) - (-4)/9 and p.
110
Let q = 10431 + -219094/21. Calculate the common denominator of q and -85/28.
84
Find the common denominator of -75/56 and (369/(-36))/((-105)/(-20)*-2).
168
Suppose 5*s + 2*g + 0 = -2, 4*g - 16 = 0. Let o = 7 + s. Suppose 0*r = -r - 3*h + o, -r + 2*h + 20 = 0. Calculate the lowest common multiple of r and 14.
14
Suppose 0 = -4*q + 8*q - 4. Let p = 29 - 78. Find the common denominator of p and (-1)/((-93)/(-95) - q).
2
Calculate the least common multiple of 20 and (-120)/(-72) + 43/3.
80
Let t be (4*(-27)/(-13434))/(-2). Let q = t + -12786884/11195. Let i = q - -79539/70. Find the common denominator of i and -41/6.
42
Suppose 11 + 25 = 4*b. Suppose -b = 3*f - 63. Calculate the lowest common multiple of -4 - (-3 + 7)*-3 and f.
72
Let u = -118350 - 33742. Let v be (u/(-10) + 0)/(-16). Let q = v + 951. Calculate the common denominator of q and 95/18.
360
Let j(g) = 2*g**3 - 5*g**2 + 5*g - 6. Let f(u) = -u**3 + 3*u**2 + 5*u - 12. Let v be f(3). What is the lowest common multiple of 16 and j(v)?
144
Let p = -4625 - -351517/76. Calculate the common denominator of 87/28 and p.
532
Let l = -130163/12 - -10841. Let n = -9780 + -1428. Let m = 224113/20 + n. What is the common denominator of m and l?
60
Suppose 0 = b + 1 - 2. What is the lowest common multiple of (-3 - -13 - -1) + b and 3/(-2)*(-24)/9?
12
Let v = 2003/328 - -3/164. Calculate the common denominator of -79/22 and v.
88
Let r = -8714 - -156941/18. Calculate the common denominator of r and 1/1 - 81/16.
144
Suppose 3 + 7 = -5*d + 5*m, -3*m = 4*d - 27. Suppose -d*w + w + 36 = 0. What is the lowest common multiple of w and 15/3 + -5 + 1?
18
Let o(k) = -k**3 - 2*k**2. Let y be o(-2). Suppose y = -4*p - 15 + 79. Find the common denominator of (146/(-10))/(p/(-5)) and 37/16.
16
Let k = -11146 - -11198. What is the least common multiple of -6*(8/(-3) + 0) and k?
208
Let a = -1742/825 + 22/75. Calculate the common denominator of -31/817 and a.
8987
Suppose 2*u - 37 = 5*z, 33 = -0*u + 3*u - 3*z. What is the common denominator of u*(1*195/84 - 2) and 75/14?
14
Let y be -6 + 4 + 34968/15. Let o = y - 2320. Calculate the common denominator of 18/5 and o.
5
Suppose 2*y - 9 = -a, -4*a = 5*y + 3 - 21. Suppose -4*s + 16 = 0, o - 14 = -4*s + y. What is the smallest common multiple of o and 4?
4
Let k = -6376817/28637440 - -2/111865. Find the common denominator of k and 45/11.
2816
Suppose 0 = d - g - 57, 45*d - 42*d + 2*g = 196. Suppose 2*h - 7 = q + 9, -h + 3*q + 18 = 0. What is the least common multiple of h and d?
186
Let n = -493627/26 + 18983. Calculate the common denominator of n and (179/(-10) - -6) + 3.
130
Let s be 229442/(-28320) + 17/(-17). Let u = 5/2832 + s. Find the common denominator of -39 and u.
10
Let a = -97407794311/604191706948 - 2823/2207222. Let o = -1/6596 + a. Let t = o - 3793/664. Calculate the common denominator of t and -31/6.
24
Let s = -67/95 - -2/19. Suppose 32 = -2*w + 4*p - 8*p, -w - 1 = -p. Find the common denominator of 66/(-540) + w/10 and s.
90
Let t = 1988 + -19933/10. Find the common denominator of t and 37/198.
990
Let z(m) = m**3 - m**2 + m - 44. Let q be z(0). Let w = q + 136. Calculate the lowest common multiple of w and 20.
460
Let s(n) = 4*n + 7. Let v be s(2). What is the common denominator of ((-2)/22)/(-5*v/(-1675)) and 31/12?
132
Let p = -43 + 131/3. Let k be (-8 - (-62)/8) + (-2687)/532. Let v = 54/19 - k. What is the common denominator of p and v?
21
Let g(f) = 3*f**2 + f + 2. Let l be g(-4). Suppose -9*w - l = -11*w. Suppose -5*o + w = 3*n, -3*n - n = -o. What is the lowest common multiple of o and 18?
36
Let k = 1051 - 1025. What is the smallest common multiple of 196 and k?
2548
Let s = -247 + 306. What is the smallest common multiple of s and 2?
118
Let n be (-15)/20 - 9/4. What is the lowest common multiple of 2 and 2 - 0 - 1 - n?
4
Suppose o - 5*o + 55 = -5*a, -2*o - 3*a = -11. Let c = -8 + 11. Suppose -g = 3*h - 26, c*h - 8 = 3*g + o. Calculate the lowest common multiple of h and 4.
8
Let t = -33042 - -3766757/114. Calculate the common denominator of 85/6 and t.
114
Let z = 4354/15 - 6053/21. Calculate the common denominator of z and 49/365.
2555
Let p = 13936/7 + -1994. Let a = -27571/6 - -4606. Find the common denominator of a and p.
42
Suppose -268 = -5*c - 28. Let p = -541/21 - -251/14. What is the common denominator of p and 8/(-12)*(-66)/c?
12
Let g(u) = -2*u + 39. Let j be g(16). Let q = j + 37. What is the lowest common multiple of q and 24?
264
Let w = 2591/246 - 71/82. Let g be ((-4689)/6)/((-18)/34). Let p = g - 1470. What is the common denominator of p and w?
6
Find the common denominator of -137/12 and (1/120)/((-52)/(-17810)).
48
Suppose -3*h - 5*n + 553 = 0, -2*h + 3*h + 4*n = 196. Calculate the lowest common multiple of 80 and h.
880
Suppose 0 = -k + 4*k - 6. Suppose 3*i + 38 = -0*i + 4*s, -k*i = -3*s + 26. What is the common denominator of 74/i*(-8)/28 and -85/6?
210
Let x = -8639/672 - -5/224. What is the common denominator of x and 2/239?
1434
What is the common denominator of -131/168 and (1089/(-81) + 13)*159/8?
168
What is the common denominator of 7 + (-192)/30 - (-217)/180 and -15/44?
396
Let n be 8/12*(-30)/1. Let b be (-81)/(-15) - (-8)/n. Suppose b*y - 17 = 13. What is the lowest common multiple of y and 9?
18
Suppose -c - 16 = -3*p + 3, 0 = c - p + 9. Calculate the common denominator of (7 + c)/(11/(-3)) and 4/10 + 237/120.
88
Let n = -3 + 6. Let d = -5266 + 63329/12. Calculate the common denominator of d and (n/(-120))/(1/(-6)).
60
What is the smallest common multiple of 192 and (-12428)/(-286) - 18/(-33)?
2112
Suppose 54*i = 53*i + 24. What is the lowest common multiple of i and 48?
48
Suppose -6*s = -4*s - 10. Suppose 3*y - f + 12 - 76 = 0, -f = s*y - 112. Calculate the smallest common multiple of y and 46.
506
Let i = -5 - -8. Suppose -1 = -2*m + i. Let z = 8 + m. Calculate the lowest common multiple of 12 and z.
60
Let w = -17641/3912 - -117/163. What is the common denominator of w and -89/10?
120
Let h(f) = f + 19. Suppose 192 = 3*p - x - 3*x, -2*x + 54 = p. Calculate the lowest common multiple of h(-5) and p.
420
Suppose -3*g + 117 = 5*f, -2*f + 3 + 37 = g. Let n = 49 - g. Calculate the common denominator of (-194)/(-10)*n/(-54) and -19/4.
36
Let g(h) = 7*h**2 - 47*h + 43. What is the smallest common multiple of 8 and g(8)?
920
Let j(i) = i**3 - 20*i**2 - 11*i + 33. Calculate the lowest common multiple of j(21) and 9.
243
Find the common denominator of 7 - 3 - 183/33 and -7/43.
473
Let f = 13/2716 + 3016079/8148. Let b = -361 + f. Let a = -2911/130 + 44/195. Calculate the common denominator of a and b.
6
Let h(f) = f**2 + f + 1. Let z(a) = a**3 - 17*a**2 - 3*a - 35. Let v(l) = 6*h(l) + z(l). Calculate the smallest common multiple of v(11) and 1.
4
Let d = 0 - -2. Calculate the common denominator of d/((-2)/(-22)*-2) and (7 + (-760)/32)/((-6)/3) - -3.
8
Suppose 4*t - 3*c = -2*c + 78, c = -2*t + 42. Suppose -3*n - 43 = -v - 4*v, -4*v - 5*n + 27 = 0. What is the least common multiple of t and v + 9/3 + -1?
20
Suppose -4*l + 1 = 9, 3*m + 4*l = 1. Suppose 3*r + 3*v + m = 0, -3*v = -3*r - 2*v + 17. Calculate the lowest common multiple of r and 6.
12
Suppose -i + 39 = -3*d, i - 5*d = -0*d + 33. Suppose 3*q - 3*g = i, 2*g + 4 = q + 5*g. What is the least common multiple of q and 3?
39
Let m(p) = -3*p**2 + 16*p + 13. Let z(u) = -5*u**2 + 24*u + 20. Let s(y) = -8*m(y) + 5*z(y). Let n = -13 - -8. What is the least common multiple of 2 and s(n)?
22
Let l(v) = v**3 + 10*v**2 + v + 13. Let d be l(-10). Suppose -d*g + 8 = -22. Calculate the lea