
Let k = -467/90 - -23/10. What is the common denominator of k and 76/342 + (-217)/504?
72
Let f = 11792 + -3085. Let c = -104581/12 + f. Find the common denominator of 2090/209 + 71/(-12) and c.
12
Let x = -10697601839/48 - -222882545. Let k = x + -15841. Find the common denominator of -151/36 and k.
144
Let q = -2440531/196 + 12452. What is the common denominator of 61/32 and q?
1568
Let d be 34/16 - 11/88. Let h(n) = -n**2 + n. Let z be h(-1). Calculate the least common multiple of 48 + d + z + (0 - 0) and 18.
144
Suppose 3*a = 3*t + 387, a + 11*t - 14*t = 139. Find the common denominator of (-10137)/a*(-1)/(-9) and -71/78.
156
Suppose 4*z = -16, 27*d - 32*d + 1945 = -5*z. Calculate the least common multiple of d and 11.
385
Let f(a) = a**3 + 3*a**2 - 5*a + 6. Let w be f(2). Suppose -w*k + 15*k = 1. Calculate the common denominator of (-18)/(-12) + 0 + (k - 22) and -121/50.
50
Let v(p) = 111*p**2 - 2*p + 25. Let x be v(7). Let a = -59996/11 + x. Find the common denominator of a and -69/16.
176
Let n(k) = -83*k + 1. Calculate the least common multiple of n(-1) and 105 + (-20)/(-100) + 416/(-80) - (-6 - -1).
420
Let a = 5887 + -5860. Calculate the smallest common multiple of 3 and a.
27
Let n = -99688 + 33495115/336. Find the common denominator of -149/12 and n.
336
Let k = -3561/40 + 89. Calculate the common denominator of k and (-1668)/(-384) + (-81)/45 + (-130)/25.
160
Suppose -i = 2*i + 15. Let m = 7 + i. What is the lowest common multiple of 204/(-714)*((1 - 3) + 3)*-56 and m?
16
Let h be (0 + 1680/(-50))/((-4)/30). Suppose 0*c = 12*c - h. Calculate the least common multiple of 49 and c.
147
Let v be -2 + 1 - (1/(-1) + -2). Suppose x = 3*t - 2 + 7, v*x = -5*t + 65. Calculate the least common multiple of x and 334.
3340
Suppose 490 = 13*t - 82. Let q be (68/(-85))/((-2)/(-25)). Let b = q + 22. What is the least common multiple of t and b?
132
Let u = 6487/399 - -10/133. Let p be 5 + 10/(-195)*-1029 + -5. Let y = p + -6451/156. What is the common denominator of u and y?
12
Let z = -3287/42 - -486/7. Find the common denominator of 3/(-92)*(-134)/(-9) and z.
138
Suppose 25*r + 62812 = 63162. What is the lowest common multiple of r and 2289?
4578
Suppose 0 = 717*i - 721*i + 28, -3*y = -5*i - 8050. What is the lowest common multiple of y and 2695?
2695
Let n = 1618/19 - 228901/2698. Find the common denominator of 13/22 and n.
1562
Suppose 39 = w + 4*n, -3*w = -6*w - n + 62. Suppose 552 = w*p - 11*p. Calculate the least common multiple of p and 36.
828
Let z = 589 + -97. What is the common denominator of z/70*((-70)/(-8))/5 and 59/10?
10
Let q be (13 - -8)/(-3)*4/(-14). What is the lowest common multiple of ((-72)/(-108))/(q/102) and 52?
884
Suppose -3*l + 3*x = -144, -2*l + 222*x = 224*x - 96. Suppose -4*j = -j - 9, 117 = 3*u - j. What is the least common multiple of l and u?
240
Let i = 37991949 + -34952600909/920. Let x = -42/115 + i. Find the common denominator of x and (-4)/(-18) + (-61)/72.
8
Suppose 8*r - 4*r + 2416 = 0. Let y = r + 904. What is the least common multiple of 12 and (-3)/(-7) + (6 - y/(-35))?
60
Calculate the common denominator of -5 - ((-500775)/(-3872))/(-25) and -79/32.
352
Let q = 1021 + -569. Calculate the smallest common multiple of q and 40.
4520
Calculate the common denominator of (-2520)/64*(2 + 822/(-396)) + -3 and -133/96.
1056
Let o be -3 + (-1446)/(-45) - (-4)/(-30). Let z = o + -21. What is the smallest common multiple of (6/(-4))/((-51)/z - -6) and 12?
12
Calculate the common denominator of -25/64 and 7 + 1401*(-5)/960.
64
Suppose 1 = a - 9. Suppose -94 = 5*f - 84. Calculate the least common multiple of 7 + (-2 - f) - (8 + -13) and a.
60
Let c = 42 + -27. Let o = 568 + -547. Let w = o - c. Calculate the smallest common multiple of 7 and w.
42
Suppose -79*g - 164 = -81*g. Let u = 101 - g. Calculate the lowest common multiple of 8 and u.
152
Find the common denominator of 183/60 - 2/8 and 4/(-350)*-25 + 1334/(-700).
50
Suppose -16*c = 18*c - 442. Suppose 2*w - 1 = -2*h + c, 23 = 5*w + 2*h. What is the least common multiple of w and 81?
81
Let r = 1/6013 - -65281/18039. Let m be ((-45)/(-25))/((-2)/(-10)). Find the common denominator of (1/9)/(m/(-69)) and r.
189
Let w = -25357771/34090 - 178/3409. Let o = w + 745. Calculate the common denominator of 4 + 2 + (-285)/25 and o.
10
Let s(q) = -q**2 - 60*q + 1514. Suppose 54 = -4*h + 7*h. What is the lowest common multiple of s(18) and h?
990
What is the lowest common multiple of 1274 and ((-26740)/(-573))/((-6)/(-117))?
6370
What is the common denominator of 22/3 and (21/(-2))/21 + 53/202?
303
Let k = 19/488 - -11183/7320. Let d = -129/8 + 1085/72. Calculate the common denominator of d and k.
90
Suppose -118 + 130 = 3*z. Suppose -z*d + 100 = -4*l, -2*l + 7 + 47 = 2*d. What is the least common multiple of 11 and d?
286
Let n(h) = -3*h**3 + 259*h**2 + 173*h + 135. Calculate the lowest common multiple of 8604 and n(87).
34416
Let t(b) = 11*b**2 + 10*b + 16. Calculate the least common multiple of t(-2) and 20.
40
Let m = -1324476 + 1160241113/876. What is the common denominator of m and -71/438?
876
Let r = 19073/5880 - 26/735. What is the common denominator of -51/4 and r?
24
Let r = -512 + 568. What is the common denominator of (-1 - -8) + (-413)/r and 9/22?
88
Let t(l) = -27*l**3 + l. Let p be (0 - 0)/((-26)/26). Suppose p = -5*i - 5*q + 90, -i - i + 28 = 4*q. Calculate the lowest common multiple of t(-1) and i.
286
Let m = -36 - -68. What is the common denominator of -1 - (-1)/2 - 184/m and 91/32?
32
Let n = 103627 + -66735741/644. Find the common denominator of n and 95/273.
25116
Suppose 7*s = 5*c + 11, 3*c + 0*c + 2*s = 43. Calculate the lowest common multiple of 969 and c.
2907
Let k(q) = -q**2 - 13*q + 14. Let n be k(-14). Suppose 11*u - 794 - 174 = n. Calculate the lowest common multiple of 132 and u.
264
Let o(h) = 19*h + 89. Let k(v) = 9*v + 45. Let u(s) = 5*k(s) - 3*o(s). What is the lowest common multiple of 2 and u(-5)?
18
Let l(y) = -60*y - 3. Let p = -243 + 261. What is the least common multiple of l(-1) and p?
342
Calculate the common denominator of 29/((-31)/((-1705)/(-59796))) and 61/16.
21744
Let y = -10187 + 10471. Calculate the least common multiple of y and 44.
3124
Let y be -4*(-2696)/(-96)*(-3 - 0). Let b = y + -261. What is the least common multiple of 56 and b?
1064
Suppose -2981 - 2974 = 158*d - 23019. Calculate the smallest common multiple of 22 and d.
1188
Calculate the common denominator of 37/360 and ((-31)/62)/((-20)/(-92)).
360
Let u be -7 + 4 + (6 - 2) - 5. Let l be (12/(u - 0) + 3)/1. Calculate the common denominator of -19*1/2 + l and 3/16.
16
Let g = 2687717/70 + -38395. What is the common denominator of g and 3101/2156 + (-7)/4?
770
Suppose -2*r - r + 90 = 0. Let c(x) = -636*x - 13347. What is the smallest common multiple of r and c(-21)?
90
Let d(o) be the first derivative of 3*o**2/2 - 42*o + 3. Let t be (-330)/(-30) - (-5)/(1 + 0). Calculate the smallest common multiple of d(t) and 7.
42
Let z(h) = h + 62765. Let f be z(0). Let t = f - 1504895/24. Let w = t - 337/6. Calculate the common denominator of 32/11 and w.
88
Let c = -102276 - 18350. Let t = -15922529/132 - c. Calculate the common denominator of 51/22 and t.
132
Let w = -20242 - -22174. What is the least common multiple of 2576 and w?
7728
Let z = 10235 + -2118628/207. What is the common denominator of -53/138 and z?
414
Let l(z) = -z**2 + 128. Calculate the least common multiple of ((-30)/(-36))/(1245/32868) and l(0).
1408
Suppose 8*w + 48 = 20*w. Suppose -w*i = 2*t + 2, -4*t + 2*i - 5*i - 4 = 0. Find the common denominator of ((-11 - -4)/t)/(-6) and -67/15.
30
Let i = 1157 - 1140. Let c(m) = -4*m**2 + 20*m - 2*m**2 + 18 + 5*m**2 - 1. Calculate the lowest common multiple of c(i) and 2.
68
Suppose -66 = o - 8. Let x = o + 62. Calculate the lowest common multiple of 93 and x.
372
Let b(r) = -803*r + 3352. Calculate the smallest common multiple of b(4) and 5240.
36680
Let f = -9412 - -28217/3. Calculate the common denominator of 45/77 and f.
231
Suppose 418*l = 421*l + 1740. Let n = -394 - l. Calculate the lowest common multiple of n and 2.
186
Suppose 0 = 196*m - 169*m - 810. Calculate the lowest common multiple of m and 6.
30
Suppose 0 = 3*r - 1 + 4. What is the l