5
Let f = 103099/5 - 28455649/1380. Calculate the common denominator of f and -149/60.
1380
Let i = -11036569/2604 + 29671/7. Calculate the common denominator of i and -71/44.
4092
Calculate the lowest common multiple of 57 + 4 + -2 + (17 - 7) and 1893.
43539
Let y = 163 + -161. Calculate the lowest common multiple of (-51)/(-12) - ((-18)/(-8) - y) and 14.
28
Let j = -1850 - -1054. Let z = j + 7187/9. Calculate the common denominator of (-14 - (-2220)/150) + ((-534)/(-40))/3 and z.
36
Suppose 2*u + 4*a = 586, 0 = -4*u + 4*a + 558 + 602. What is the smallest common multiple of u and 12?
1164
Suppose 1072 + 83 = 5*r + h, 2*r + 2*h - 462 = 0. Let n = -135 + r. What is the least common multiple of n and 36?
288
Let m = 69810 - 6422439/92. Calculate the common denominator of m and 6/(-15) + (-497)/20.
92
Let d(a) = 142*a + 2180. What is the smallest common multiple of d(-15) and 1?
50
Let z = -5181 - -5445. What is the smallest common multiple of 1320 and z?
1320
Let h = 19618930 - 313605265/16. Let z = 18595 - h. What is the common denominator of (-22)/(-33)*(129/120 + (-11 - -7)) and z?
80
What is the common denominator of -26/519 and (8736/108)/26*6/(-64)?
4152
Let y = -221/8 + 14713/520. Calculate the common denominator of -56/117 and y.
1170
Let c(w) = -w**3 + 12*w**2 - 13*w + 26. Let q be c(11). Suppose 0 = q*t - 1907 - 973. Calculate the common denominator of (117/t)/((-2)/36) and -23/32.
160
Let q = -15 + 45. Suppose -r = -1147*v + 1148*v - 17, 4*r + v = 71. Calculate the least common multiple of q and r.
90
Find the common denominator of -6/185 and ((-4638)/888 - 5) + 10.
740
Let j = 75712/3 + -24636. Suppose 5*z = x - 623, 0 = -4*x + 2*z + 523 + 1915. Let m = j - x. Find the common denominator of 45/8 and m.
24
Suppose 0 = -4*x - 16, -1 = 2*p - 2*x - 79. Let q = p + -29. Suppose 5*a = 5*g + 20, -2 = -3*a + 2*a + 2*g. Calculate the lowest common multiple of q and a.
6
Suppose j - 6*s = -4*s - 41, -5*j - 4*s - 205 = 0. Let i be 401/7 - (-16)/(-56). Let g = i + j. What is the least common multiple of g and 10?
80
What is the least common multiple of (2/(-6)*3)/(10/(-3340)) and 4?
668
Let k = 2 + 2. Suppose 0 = -b + 1, 0 = -k*q - 8*b + 5*b + 131. Calculate the lowest common multiple of 36 and q.
288
Suppose 2*w + 4*g + 4 = 26, 4*w = 2*g + 4. Suppose -135 = -3*d - w. Calculate the least common multiple of 20 and d.
220
Suppose -41*r + 495 = -1760. What is the lowest common multiple of r and 9?
495
Suppose -18*c + 21 = -15*c. Let o(z) = z**3 - 7*z**2 + 3. What is the lowest common multiple of o(c) and (-2465)/(-75) - (-4)/30?
33
Suppose 27*a + 23 = 26*a. Find the common denominator of -23/10 and (-7)/(-35)*a/(-2).
10
Let k = -37297/10 - -3735. Let g = -2/51665 - 358443/82973990. Let l = g - -1792/803. Find the common denominator of l and k.
110
Let j = 437/5 - 90. Let r = -79/40 - j. Suppose 14 = -4*k + 2*s - 6, -2*k - s - 18 = 0. Calculate the common denominator of r and k.
8
Suppose 0*l + 21 = 3*l. Suppose 14*z = 17*z + 15, -4*r = z - l. What is the smallest common multiple of r and 84?
84
Let h(l) be the third derivative of -l**6/120 + 17*l**5/30 - 8*l**4/3 + 4*l**3/3 + 2*l**2. Calculate the smallest common multiple of h(32) and 24.
24
Let z be 201*-129*6/36. Let w = 259157/60 + z. Find the common denominator of w and 11/3.
60
Let t(l) = 16*l - 381. Calculate the least common multiple of t(27) and 27.
459
Let r be (-245)/(-147) - 9278/66. Let g = 35737/264 + r. Calculate the common denominator of -43/12 and g.
24
Let k be (-1590352)/902770 - (-52)/(-130). Let v = 1271428787/2066169699 - k. Let f = v + 2/2543. What is the common denominator of 74/9 and f?
9
Suppose 4*k - v - 113 = 0, 2*v + 45 + 19 = 2*k. Let l(f) = 29*f - 9. What is the lowest common multiple of l(1) and k?
540
Suppose -828 = -4*w - 5*c, 4*w = 7*c - 8*c + 844. Let m = w + -204. What is the lowest common multiple of m and 24?
24
What is the common denominator of (-22)/(-66)*(1 - (-127)/(-6)) and (206/20)/(3 - 2)?
90
Let t = 2/170667 + 511891/9386685. Find the common denominator of 43/4*(-4)/(-50) and t.
550
What is the common denominator of (-88)/(-72) + (0 - (-2)/5) and ((-37)/25 - -1)/((-2470)/(-475))?
585
Let v(m) = -4*m**3 + m**2 - m - 1. Let y be (9 - 0)/(-41 - -40). Let b(c) = 9*c + 83. What is the lowest common multiple of b(y) and v(-1)?
10
Let o(x) = -x**2 - 14*x + 57. Calculate the smallest common multiple of 120 and o(3).
120
Suppose -y - y + 1418 = 4*h, -2142 = -3*y - h. Let c = -845 - -858. Calculate the least common multiple of c/(y/1660) - (-4)/(-22) and 2.
30
Let f(l) = 51*l - 389. Calculate the smallest common multiple of 10 and f(21).
3410
Let t(q) = 118*q**2 - 32*q + 270. Calculate the least common multiple of 2448 and t(5).
12240
Let z = -31 - -54. Suppose -22*b - 5 = -z*b. Suppose -b*l - 56 = -9*l. Calculate the common denominator of -101/14 and l.
14
Let l = 6254 + -6229. What is the lowest common multiple of l and 75?
75
Let k(o) = 4*o + 105. Let a be k(-26). Calculate the smallest common multiple of -198*(a + -2) - (2 - 4) and 11.
2200
Let x(w) = -w**2 - 6*w + 13. Let c be x(-7). Let z be 160/24*9/c. What is the common denominator of -55/6 and (2/54)/(z/230)?
54
Calculate the common denominator of -4 - 580/(-27)*(-249)/(-1411) and -55/18.
306
Suppose -3*y = 4*m - 7*m + 27, -5*y - 48 = -2*m. Find the common denominator of -75/4 and (-52)/y - (18/(-12) + 2).
20
Suppose -9239 - 963 - 9254 = -16*w. Calculate the lowest common multiple of w and 760.
6080
Suppose -40 = -2414*d + 2404*d. Let b = -8 - -13. Suppose -3*h = -2*g - b, -5*g + 4 = -3*g. What is the least common multiple of h and d?
12
Let s = -18 - -20. Suppose 0 = t + 2*a - 3, -s*t + 4*a = 3*t + 13. What is the lowest common multiple of 11 and (3/(-6) - t)*54?
297
Let r(u) = -196*u**2 + 10*u - 6. Let m be r(2). Calculate the least common multiple of 6/22 - 20580/m and 33.
297
Let i(z) = 6*z + 153. Let f be i(-14). Find the common denominator of f*(-7)/1134 - -2 and -179/60.
540
Let x(c) = -6*c - 36. Let l be x(-7). Find the common denominator of (4/(-792)*158)/(l/(-9)) and 2/77.
462
Suppose 2*v + 3 = 3*v. Let c be v + -9 - 1/(-1). What is the smallest common multiple of 5*2/10 - c and 22?
66
Calculate the common denominator of -37/59 and -2*5 + 245/(-66080)*-2744.
236
Let l(a) = 13*a - 32. What is the lowest common multiple of l(16) and (44/14)/((225/15)/105)?
176
Let s(a) = -a + 12. Let v = -4159 + 4197. Calculate the least common multiple of v and s(10).
38
Let y(c) = c**2 + 13*c + 10. Let k be y(-12). Let h be (2/k)/((-3)/27). Suppose -4*p - h + 45 = 0. What is the lowest common multiple of 12 and p?
36
Let b = 1522 - 1498. Calculate the smallest common multiple of b and 148.
888
Suppose -59*l - 1152 = -67*l. Suppose 43*o - 45*o + l = 0. Calculate the smallest common multiple of 30 and o.
360
Suppose 0 = 3*o - 3. Calculate the lowest common multiple of (-101)/(2121/126)*(-11)/2 and (0 - 4)/(-2) + o.
33
Suppose -j + 309 = 2*p, 14 + 1 = -3*j. Let u = p + -128. Calculate the common denominator of -18/11 and u.
11
Let m be (-15 + 5 - -6)/2*-506. Let a = m - 949. Calculate the least common multiple of a and 126.
126
Let z be (1 + (-9)/6)*0. Calculate the common denominator of -1 + (-1550)/368 - (-18 - 18540/(-1035)) and (-2)/(2 + z) + -32.
8
Let d be (85/120*4)/((-210)/1678). Let b = -902/45 - d. What is the common denominator of 131/84 and b?
84
Let u(t) = -4*t + 19. Let y be u(11). Let s = y + 33. Suppose -s*l - 56 = -12*l. Calculate the smallest common multiple of 22 and l.
154
Let a be (-7)/((-28)/(-8))*-12. Find the common denominator of (1 - 9)/2 - (-43)/a and -111/14.
168
Let t(s) = -s**3 + 3*s**2 + 3*s + 2. Let w(r) = -r**2 + 7*r + 6. Let b be w(8). Calculate the lowest common multiple of t(b) and (-58)/29*12/(0 + -3).
16
Let c be 4 + 5 + 2124/(-1216). Let r = c + -120/19. Calculate the common denominator of 133/144 and r.
144
Suppose -2*q + 30*x - 25*x = -171, -3*q = -5*x - 249. Calculate the least common multiple of q and 624.
624
Suppose -186*n + 192*n = 3252. Let h = 562 - n. What is the least common multiple of h and 76?
380
Let d = 417/2 + -551/3. Calculate the common denominator of 760/48*2/50 and d.
30
Calculate the common denominator of (37/(-36) + 1)/((-13949)/(-1479) - 9) and 8