52
Calculate the common denominator of 41/22 and (-5)/((-155)/(-2)) - (-4689)/301878.
11902
Let v = -136 - -120. Calculate the least common multiple of 20 and (20/16)/((-2)/v).
20
Let w be (7/84)/((-2)/(-88106)). Let n = w - 3677. Calculate the common denominator of n and 11/(-30)*81/(-6).
60
Suppose -2*w - 3*s = -60 + 6, 4*s = 2*w - 40. Suppose -2*v + 6 + 4 = 0. Suppose 23 - 103 = -v*d. What is the lowest common multiple of w and d?
48
Let w = -2/393557 + 25581841/125151126. Calculate the common denominator of w and 39/1060.
3180
Let h(b) = 11*b**2 + b + 20. Let d be h(-4). Let y = 34820/8899 + -3/809. Find the common denominator of ((-3)/4)/(3 - d/63) and y.
44
Let p(n) = 2*n**3 - n**2 - n - 1. Let w(i) = -321*i**3 - 4*i**2 - 7*i - 7. Let h(f) = -5*p(f) + w(f). What is the lowest common multiple of 10 and h(-1)?
1660
Let d = 550541/120 + -13757/3. What is the common denominator of -129/280 and d?
280
Suppose -2*a - 70 = 3*a. Let n be (1 + (-36)/28)*a. Find the common denominator of 69/28 and 366/n*5/60.
56
Suppose 276 = -3*y + 5*y. Suppose 0 = -3*g - 0*g - y. Let i = 36 + g. Find the common denominator of 29/11 and i.
11
Let c = 2/1657 - 28213/36454. Let z be ((-13)/48)/((-12)/(-31356)). Let q = -707 - z. Calculate the common denominator of q and c.
176
Let c be -118 + (-12 - (-12 - -8)). Find the common denominator of -113/72 and -8 + 6 - 338/c.
504
Suppose 5*s - w - 7791 = 0, 2*w - 4843 - 1373 = -4*s. What is the lowest common multiple of s and 2?
3114
What is the common denominator of (2/70*2)/(16/(-164)) and (-1201)/130 + 576/64?
910
Suppose 480*m - 2331 = 369*m. What is the lowest common multiple of 4950 and m?
34650
Let g = 667 - 148. Let v = g - 2079/4. What is the common denominator of 91/16 and v?
16
Calculate the common denominator of -41/32 and ((-446)/7832)/((-3)/3) - (-1380)/7590.
2848
Suppose 9*c = 2439 + 1026. Find the common denominator of (-3)/(-144)*118 - 0 and (-18)/81 - c/(-72).
24
Suppose -4*h + 360 = -0*h. Let z(u) = 10*u - 84. Let t be z(0). Let p = h + t. What is the smallest common multiple of p and 8?
24
What is the lowest common multiple of 1613 and (100/(-175) + 368/252)*18/2?
12904
Suppose c - 3*d - 61 + 1 = 0, -2*c = d - 218. What is the lowest common multiple of 3/(-2)*3*-12 and c?
918
What is the common denominator of (-50)/108*742/25970 and -51/112?
3024
Let w be (2 + 84/(-70))*25/2. Let s(t) = -t**2 + 16*t - 28. What is the lowest common multiple of 32 and s(w)?
32
Suppose -2*l - 2*g - 3 = -21, -15 = -3*l + g. Let v = 61415/6 - 10258. Calculate the common denominator of v and ((10 - l) + 82/(-8))/2.
24
What is the common denominator of -103/3132 and (-10)/(-85) - (-1295)/38556?
9396
Let v be -2*(-2)/4*-3. Let t be (-3)/v*(6 - 9). Let n(f) = f**2 + f - 2. What is the least common multiple of n(t) and 7?
28
Let c = 7642 - 7751. Let u(g) = g**3 + 3*g**2 - g - 2. Let f be u(-2). Calculate the common denominator of (f/80)/(2/c) and -61/18.
360
Let t be (-1)/4 + (-101)/(-884). Let z = -1065583664403/4420 + 241082275. Let a = t + z. Find the common denominator of 103/20 and a.
20
Suppose -4*t + 2786 + 2593 = 3*q, -4044 = -3*t + q. What is the common denominator of (-104)/(-54) + (-3)/(-9) and t/270 + 28/70?
54
What is the common denominator of 1 + ((-138)/32 - 0) and (-22)/(16368/(-16213)) - 19?
48
Let n = 2320855/8 + -288750. Let d = -1359 + n. Let z = -3 - d. What is the common denominator of z and 29/12?
24
Let q(m) = -m + 626. What is the smallest common multiple of 833 and q(31)?
4165
Suppose -4356 + 276 = -17*l. Calculate the least common multiple of l and 1200.
1200
Let p(s) be the third derivative of s**5/60 + s**4/24 - s**3 + 3*s**2. Let q be 6*(2 + -3)*2/2. What is the lowest common multiple of p(q) and 6?
24
Let f(p) = -p + 1. Let d be f(-4). Suppose -3*o + d*l = -18 - 9, -4*o = -l - 19. Suppose -o*u = 22 - 134. What is the smallest common multiple of 8 and u?
56
Let y(r) = -3*r - 25. Let c be y(-7). Let s be (-4 - 40/c) + 4. Let z = s - -3. What is the least common multiple of z and 3?
39
Suppose -4*d = 5*z - 4, -24*d - 2*z - 12 = -19*d. Find the common denominator of 6*(-3)/(-252)*d/(-8) and (-83)/28 - 1/(-1).
28
Let t = -43744 - -44104. What is the least common multiple of t and 4032?
20160
Suppose 1 = -3*v + 2*v, -5*k + v + 26 = 0. Suppose 4*j - 23 = 5*n, k*n + 5 + 4 = 2*j. Let w = 894 - 861. Calculate the smallest common multiple of w and j.
231
Let u = 1275174/5 + -254190. Let m = u + -185701/220. What is the common denominator of m and 82/33?
132
Let d = 3204/43 + 7327/387. Let u = d - 12413/126. What is the common denominator of u and -29/202?
1414
Suppose -10*o - 46 = 34. What is the lowest common multiple of 16 and (-3)/(-6)*o - -12?
16
Let h(u) = -24*u - 38. Let d(g) = 17*g + 123. Calculate the least common multiple of h(-13) and d(-7).
548
Let o = 39470 - 7104637/180. What is the common denominator of o and -113/60?
180
Suppose 3*o + 1804 = -2372. Let v be (-24)/(-36) - (-910)/o. Let r = v + 803/696. What is the common denominator of 7/16 and r?
48
Let o = 3736 - 3606. Calculate the lowest common multiple of 130 and o.
130
Let d = 38933 + -24551. Let n be (d/85)/((-3)/10). What is the common denominator of 18/(-4)*(-24)/n and 3/8?
376
Let j(s) = -s**3 - 5*s**2 + 3*s + 12. Let r be j(-6). Suppose 0 = -5*g + 55 - r. Suppose -2*z - 63 = -g*z. What is the least common multiple of 18 and z?
126
Suppose 178 = -3*q + 547. Calculate the smallest common multiple of q and 12.
492
Let z = -457 + 495. Suppose -z*q = -31*q - 420. Calculate the smallest common multiple of q and 6.
60
Let s be 612/(-48) + (-1)/4. Find the common denominator of 151/24 and (3445/(-30))/s + 4.
24
Let g(u) = 2*u - 38. Let k(j) = -j**3 - 11*j**2 - 2*j. Let m be k(-11). Calculate the least common multiple of g(m) and 33.
66
Suppose 5*l + 32 = 7*k - 5*k, 0 = 5*k + 2*l - 22. Calculate the lowest common multiple of k and 318.
318
Let v = 16593 - 15001. Calculate the smallest common multiple of 3582 and v.
14328
Let g = 54 + -50. Let s be (-12)/8*g/(-3). Suppose -8 = s*n, -4*j - n + 26 = -2*j. Calculate the least common multiple of j and 30.
30
Let f(m) = 1 + 4 - 80*m + 83*m - 1 + 29*m**2. What is the smallest common multiple of 1 and f(-2)?
114
Find the common denominator of -41/3166 and 14064/2240 + 84/(-196).
31660
Suppose 3*w = 10 - 31. Let a(t) = -t**2 - 8*t + 3. Suppose 8*o - 600 = -536. What is the least common multiple of o and a(w)?
40
Let f(a) = -6*a - a**3 - 1 + 37*a**2 - 40*a**2 - 3. Let y be f(-2). Suppose 0*s - y*s + x = -39, x - 24 = -3*s. What is the least common multiple of 9 and s?
9
Suppose -1765 - 1601 = -39*g - 1962. Calculate the smallest common multiple of g and (0/(-2) + -1)*-12.
36
Let w be (93 - -31)*-2*(-3)/4. Let r be 1*-1 + w/(-6). Calculate the common denominator of -49/10 and 2/66*(-4272)/r.
110
Suppose -5*c - 14 = 3*b, -4*b + 18 = -b - 3*c. Suppose -12*f = -16*f - 6896. Calculate the least common multiple of f*(-5)/90 + 10/45 and b.
96
Suppose 0 = 3*a + 4*w + 359, 0*w - 379 = 3*a - w. Let i = -112 - a. What is the lowest common multiple of i and 2?
26
Let h(d) = -d**2 + 9*d - 8. Let w(a) = 3*a + 36. Let q be w(-10). Let i be h(q). What is the common denominator of 22/9 and 83/i + 3/2?
45
Let l = -752299/330 + 25077/11. Let i be 0 - 3436*53/(-42). Let r = i - 4335. Calculate the common denominator of l and r.
210
Let m be 2*3*(-23)/(-69). Suppose -5*p - 2*x = 59157, -p - m*x - 1918 = 9907. Let c = -118229/10 - p. Find the common denominator of c and -9/7.
70
Suppose 0 = 257*w + 3519 - 20481. What is the lowest common multiple of w and 22?
66
Let k(h) = -13*h**2 + 28*h + 6. Let p = 3 - -6. What is the least common multiple of p and k(0)?
18
Let z = -16712 + 752087/45. What is the common denominator of -59/840 and z?
2520
Let o be ((-312)/(-10))/((-6)/105). Find the common denominator of (2856/90)/7*7/16 and ((-1)/16)/(3/o).
120
Let t be 2/(-4)*(65 - 5). Suppose 48 + 503 = 4*o - 5*p, -5*p + 700 = 5*o. Find the common denominator of 55/18 and (o/t)/(3 + -4).
90
Let a be 8271932249 - 0*(3 - 7/2). Let l = 201950953899683/24414 - a. Let z = l + -62/313. What is the common denominator of z and -113/6?
78
Let k be (-15 - -16)/(1/40). Suppose -5*f + y = -381, 43*y + 155 = 2*f + k*y. Calculate the least comm