late the least common multiple of n and 252.
756
Let u be 2 + 5 + 9265/(-15). Let l = -593 - u. Find the common denominator of 79/42 and l.
42
Let v = -77167/8 - -9641. Calculate the common denominator of 4/(-384)*267/2 and v.
64
Let l = -62/395 + 24049/4740. Calculate the common denominator of -49/170 and l.
1020
Let i(b) = 353*b - 20. Let r be i(1). Suppose r = 12*g - 147. What is the smallest common multiple of 112 and g?
560
Calculate the common denominator of (0 - 4/(-279))/(-9 + 1770/198) and 37/4.
372
What is the common denominator of -65/144 and (((-20553)/2912)/17)/((-3)/(-6))?
1008
Let q = -1052 + 932. Calculate the common denominator of 7/554 and (-13)/(-2)*140/q.
3324
Suppose 5*t - 9*o = -12*o + 7, 0 = 5*t - 5*o + 25. Calculate the common denominator of (-2 - -2) + (109/14)/t and 67/144.
1008
Let j be ((-6)/15)/(2/(-230)). Suppose 35 = 3*l - j. Suppose -3*k = -3*y - l, -2*k - k + y = -37. What is the least common multiple of k and 50?
350
Let i(d) be the second derivative of -3*d**3/2 + 9*d**2 + 19*d. Let h be i(7). Find the common denominator of -3/4 and (h/6)/(-1*(-6)/(-9)).
4
Suppose 0 = -4*u - 20, v - 7 = -2*v - u. Suppose 4*s = 2*s - r + 184, v*s - 380 = r. Calculate the least common multiple of 12 and s.
564
Let h(m) = 116788*m**3 - 5*m + 3. Let k be h(1). Let p = k + -15182261/130. What is the common denominator of p and 131/12?
780
Suppose 6*v = -11 - 1. Find the common denominator of 137/30 and (236/48)/(v*3/8).
90
Let p = -3860 + 3864. Calculate the smallest common multiple of p and 1164.
1164
Let l be (6 - (8 - 3))/(5 - 6). Let v(t) = -73*t - 63. Let m(a) = 24*a - 3. Calculate the lowest common multiple of v(l) and m(2).
90
Suppose 6*z + 88 = 7*z - 5*u, 2*z - 152 = -2*u. Let d = 20 - 17. Calculate the smallest common multiple of z and d.
78
Let k(s) = s**3 + 8*s**2 - 11*s. Let r = -137 - -153. Let l = r + -15. Calculate the lowest common multiple of l and k(-9).
18
Suppose -325 + 610 = 3*a. What is the lowest common multiple of a and 342?
1710
Let n be (3 + -5 + 1)*(-10)/1. What is the common denominator of (-27)/(n + 4 + 3 + 3) and 24/5?
20
Suppose -82 = -2*q - b, -4*q + 121*b = 126*b - 170. What is the smallest common multiple of 64 and q?
320
Suppose 2*t - 324 = -3*c, 8*t + c - 500 = 5*t. Calculate the least common multiple of t and 84.
168
Let g = 4369682860619/91734680 + 160/2293367. Let l = g + -47637. Calculate the common denominator of l and 43/15.
120
Let o = -5/567 + 18841/14742. Calculate the common denominator of 65/106 and o.
1378
Let h = 356533039/1095 + -325601. Calculate the common denominator of -85/4 and h.
4380
Find the common denominator of 77/12 and (-7)/2 - (-171121)/56970.
540
Let h = -135 - -231. Suppose 19 + h = 5*n. Suppose -20*w + n*w = -93. What is the common denominator of -97/8 and w?
8
Let j be (-6)/(-48) - 132702/(-16). Let a = 7795/214 - -8/107. Calculate the common denominator of a and j/(-1540) + (1 - 10/14).
10
Let f = -2/1985721 + -13015807/1685215222. Calculate the common denominator of 145/6 and f.
7638
Suppose 10*x - 24 = -4*r + 8*x, 2*x + 11 = 3*r. Find the common denominator of (7*(-9)/(-693))/r and 77/2.
110
Suppose 0 = 5*x - 4*v - 127, 191*x - 192*x + 17 = -5*v. Calculate the least common multiple of 369 and x.
1107
Let s = 100274 + -20054687/200. What is the common denominator of -69/350 and s?
1400
Let z(r) = 2*r**3 + 26*r**2 - 12*r - 286. What is the least common multiple of z(-11) and 60?
660
Suppose 138 = 15*d + 31*d. Let t be 0/(8/(-4)) + 3. Suppose u = -t*u + 48. Calculate the lowest common multiple of u and d.
12
Let x = 1104 + -599. Let r = x - 497. Calculate the lowest common multiple of r and 267.
2136
Let t(u) = 14*u**2 + 1. Suppose -709*j = 6363 - 38268. Calculate the least common multiple of j and t(-1).
45
Let h = 227 + -222. Suppose 0*m = -h*t + 2*m + 143, 5*t - 5*m = 140. Calculate the smallest common multiple of 3 and t.
87
Let s be (92934/15)/((-12)/(-30)). Let g = s + -464629/30. Find the common denominator of 61/8 and g.
120
Suppose -6147*p + 6167*p = 1200. Calculate the smallest common multiple of 1284 and p.
6420
Let r = 580286199/992 - 584966. Find the common denominator of r and -101/10.
4960
Let g = 132 + -59. Let d be (4 - -1)*4/10. Suppose -3*j + d + g = 0. Calculate the lowest common multiple of 8 and j.
200
Suppose -9*r + 10*r - 14 = 0. Suppose -v + 209*u - 207*u = -46, 0 = -3*v + 5*u + 131. What is the smallest common multiple of v and r?
224
Let o = 15 - -4. Suppose 2*t - 2 + 4 = 2*b, -b = 3*t + o. Let r(k) = k**3 + 4*k**2 - k + 1. Calculate the smallest common multiple of r(b) and 4.
20
Suppose -47*t - 172 = -51*t. Suppose 40*i - t*i = -2100. What is the lowest common multiple of 16 and i?
2800
Suppose 2 = 2*b - 40. Let q be (128240/b)/(3 + (-13)/5). Let r = q + -2839309/186. What is the common denominator of r and -19/22?
682
Let k be (-5)/(10/(-2)) + 0. Let b be -13576 + (k - -1) - 3. Let a = -298763/22 - b. Find the common denominator of -83/20 and a.
220
What is the common denominator of -92/375 and 1/(-825)*-1667 + 6*(-24)/72?
4125
Let l = 10814777/2740 + -3947. Calculate the common denominator of l and -169/4110.
8220
Suppose 5*j = -2*u + 32, -5*u + u + j = -86. What is the least common multiple of (-240)/u*(-49)/7 and 160?
160
What is the common denominator of 83/420 and 7/(-72)*8/(-140)*(-2096)/144?
11340
Suppose -24*o = -22*o + 9663820. Let l be (-3268305)/o - 2/(-8). Let a = l + 2/28423. Find the common denominator of 9/20 and a.
340
Let q(c) = -c**3 - 7*c**2 + 8*c + 20. Suppose -5*u = 4*l + 52, 4*u - 2 = 3*l + 6. Let t be q(l). What is the smallest common multiple of 0 + (2 - -8)*8/t and 8?
8
Suppose -41*t - 16*t + 1675 = 10*t. What is the smallest common multiple of 380 and t?
1900
Find the common denominator of (6/(-88))/((-1155)/(-440)) and 3/14.
154
Let d = -617021/48 - -12853. What is the common denominator of d and 1/88?
528
Let i = 2 + 3. Suppose 5*c + 4*r = 3*c + 240, 0 = -i*c + 5*r + 615. Suppose 22 = -4*v + c. Calculate the smallest common multiple of v and 6.
150
Let v = 478 + -273. Let w = v + -13308/65. Find the common denominator of -17/11 and w.
715
Let s = -415 + 167. Let z = -234 - s. Calculate the smallest common multiple of z and 42.
42
Suppose -4*b = -3*n + 17, 1331*n + 8 = 1335*n + 2*b. Let h = 5 - -7. What is the lowest common multiple of h and n?
12
Suppose 3*m - 10 = m. Suppose -m*f + 64 = -13*f. What is the common denominator of 32/11 and (-6)/f*(270/(-21))/3?
154
Let k = -773 - -3059/4. What is the common denominator of k and (2 - 146/32)*-4?
4
Calculate the common denominator of (4 + -1)*(-377)/(-286) and 27/176.
176
What is the common denominator of (-6 + 5)/(381/60) and -37/3175?
3175
Let l = 226 + -280. Calculate the lowest common multiple of (-7)/(-21)*l/(-8)*12 and 15.
135
Suppose -4*l = -5*s + 4431, 36*s - 4*l + 4399 = 41*s. Let w = s + -841. What is the smallest common multiple of 84 and w?
84
Let z(l) = 43*l - 386. What is the least common multiple of 244 and z(26)?
732
Let l = 1307602727/36 + -36316778. Let z = -5522 + l. Calculate the common denominator of z and -22/15.
180
Suppose -15*o = -5*o + 960. Let s = o - -94. What is the common denominator of -46/25 and (-39)/5 - -8 - s/(-5)?
25
Let c = -25404 + 25830. What is the lowest common multiple of c and 1917?
3834
Let m = 334 + -306. Suppose -x = -p - m, 2*p - p = 3*x - 76. What is the smallest common multiple of 6 and x?
24
Suppose k + 79 = 5*u, -k + 1002 = -u + 1013. Let a = 0 + 1. Calculate the lowest common multiple of a and u.
17
Let u = 54904842 + -27836767720/507. Let p be (-2)/(-7) - 760/2366. Let a = u + p. What is the common denominator of -53/9 and a?
9
Let w(g) = g**3 + 10*g**2 + 9*g + 7. Let y be w(-9). Let u(d) = 6*d**2 - 10*d**2 - 2 - 6*d + 5*d**2. Calculate the least common multiple of u(y) and 9.
45
Suppose -4*a - 6 + 38 = -3*v, -40 = -5*a - 3*v. Suppose a = -2*o + 2. Let i(t) = t**2 + t + 4. What is the smallest common multiple of 22 and i(o)?
110
Let q be 3*-2*(-4)/12. Suppose q*m - 2 = 0, -v + 2*m - 8 + 22 = 0. What is the common denominator of -65/24 and (v/(-20))/2*(-355)/12?
24
Let b be (2 - (-21)/(-9))*-3. What is the common denominator of 6/((-240)/508) + b and -35/11?
110
Let o be (-15)/((-13)/8 - (-12)/6). Find the 