o - 5*k - 36, 148 = -o + 3*k. Let f = o - -157. Calculate the lowest common multiple of (-55)/11 + f/(-1) and 27.
27
Let g = -3853023829/3141 - -1226687. Calculate the common denominator of g and -68/3141.
3141
Let y be 4618/((-9)/(4 + -1)). Let d = y - -1514. What is the common denominator of (-25)/4*5/(-50) and d?
24
Let d(v) = -v**3 + 20*v**2 - 18*v - 15. Let a be 26 + -22 + 15 + 0. Calculate the smallest common multiple of 5 and d(a).
20
Let z = 17331 + -17363. Let v = 102 + -186. Find the common denominator of -163/78 and 2 - 10*v/z.
156
Let q = -63 + 55. Find the common denominator of (136/12)/((-8)/14) and 15/q + (28 - 23).
24
Calculate the common denominator of 46/55 and (34 - (-270324)/(-7965))*(-18)/(-8).
6490
Calculate the common denominator of 143/504 and ((-107)/48*(-4)/2)/((-35)/14).
2520
Calculate the lowest common multiple of 1/3 + (-19 - (-3488)/48) and 2088.
6264
Let w = 459972020311/36 - 12777823936. Let s = -823135 - w. Let y = s + -975/4. Find the common denominator of -17/32 and y.
288
Let p = -4745 - -4753. What is the least common multiple of p and 4150?
16600
Suppose -r = 2*l - 2078 - 14220, 5*r - 5*l = 81415. Calculate the lowest common multiple of r and 12.
48864
Let n(j) = j**2 - 21*j - 38. Let b be 1/(((-54)/192)/(-9)). Calculate the lowest common multiple of n(b) and 10.
1570
Let w = -3926/3 - -1283. Let q = 241/15 + w. Find the common denominator of q and 43.
5
Suppose p - 6107 + 2103 = -4*m, -4*m - 4*p + 4016 = 0. Calculate the least common multiple of m and 16.
2000
Let x = -16746659/52 + 1285239/4. Let c = x - -743. Find the common denominator of c and -51/4.
52
Calculate the lowest common multiple of 21 and (174/(-9))/(-9*(-4)/(-324)).
1218
Let l be ((-3 - -5) + -6)*(-6)/8. Let h(w) = 2*w**2 - 2*w - 7. Let t be h(l). Suppose -24 - 21 = -t*x. Calculate the lowest common multiple of x and 3.
9
Let x be (-1)/((-7)/182) - -2. Let d(j) = -j**2 + 28*j + 4. What is the smallest common multiple of 132 and d(x)?
132
Suppose 6*q - 7*q - 77 = 0. Let p = 137 + q. What is the least common multiple of 36 and p?
180
Let r(x) = x**3 - 9*x**2 - 12*x + 10. Suppose 3*q = 46 - 16. Let s be r(q). What is the common denominator of (-2)/s - (-1292)/540 and 67/27?
27
Let w = 1/329 + 21383/658. Suppose -3*a = -11357 - 12838. Let k = 145207/18 - a. Calculate the common denominator of w and k.
18
Let m = -123 - -53. Calculate the smallest common multiple of 2*(-7)/(m/45) and 72.
72
Let h = 4377593 - 11267924221/2574. Let y = h - 2/117. What is the common denominator of 0 + ((-189)/30)/7 and y?
110
Let c = -450 + 807. Let g = c + -266. Calculate the least common multiple of 143 and g.
1001
Let c = 24/113 - 6257/3390. Calculate the common denominator of 5*6/(-165)*(-31)/15 and c.
330
Let c = 911/48 - 19. Find the common denominator of 95/624 and c.
624
Let a(y) = 82*y - 136. Suppose 0 = -2*z + 2, -4*j + 3*z = -0*j - 93. What is the lowest common multiple of a(2) and j?
168
Suppose 2*x = 2*s - 20, -5*s + x + 82 = 4*x. Suppose -3*g + 12 + 0 = 0. Calculate the lowest common multiple of s and 299/g - (-42)/(-56).
518
Let l(x) be the first derivative of -15*x**2/2 - 11*x + 89. What is the smallest common multiple of 2 and l(-1)?
4
Suppose -4*f + 3*w - 20 = 0, 2*f - 4*w = -0*w. Let p = f + 45/7. Find the common denominator of p and -12/41.
287
Let w be (-114)/(-2)*(292 - -5) - -3. Calculate the common denominator of ((-2)/9)/(272/w) and (166/24)/((-2)/(-4)).
6
Suppose -5*p - 537 = -4*h, -h + 434 = -p + 301. What is the smallest common multiple of 576 and h?
1152
What is the lowest common multiple of 474 and ((-60)/72)/(3/(-18)) + 942 + 1?
948
Suppose 5*k - 2*u + 4*u - 5 = 0, 25 = -5*u. Find the common denominator of 29/45 and 290*5/120 - k.
180
Suppose 5*j - 10*j = -4*v - 26007, 0 = -2*j + v + 10398. Calculate the lowest common multiple of j and 5.
5195
Calculate the common denominator of 6/(-3) + 41587/2520 + -15 and 7/405.
3240
Let f be 328/(-11) + (-4)/22. Let a be 4/f - (-192)/90. Suppose 2*z = -a*u - 6, -2*u + 2*z + 0*z = -14. What is the smallest common multiple of u and 2?
2
Suppose 5*h + m - 222 = 0, 14*m + 182 = 4*h + 17*m. Calculate the least common multiple of h and 2384.
26224
Let c = 56 + -51. Let b = 34 - 29. Suppose b*q + 9 = c*t - 16, 4*q = -5*t + 52. What is the least common multiple of 3 and t?
24
Let m(i) = -17*i - 2 + 11*i + i. Let t(r) = 19*r + 8. Let o(y) = -22*m(y) - 6*t(y). What is the least common multiple of 20 and o(-4)?
60
What is the smallest common multiple of 184 and 18/(-4) + 12903/46?
552
Calculate the common denominator of (3/5 + (-7908)/80)*35/31500 and -37/1800.
3600
Suppose 4*m = -20, o - 6*m + 10*m = 65. What is the smallest common multiple of 16 and o?
1360
Let q = -18222 + 18682. What is the smallest common multiple of 2760 and q?
2760
Let m = 39573 + -39552. What is the smallest common multiple of m and 993?
6951
Suppose -4*g - 97 = -297. What is the common denominator of (-16)/(-48)*90/(-11) and 2/48*g + (-2)/3?
132
Let n(f) = 51*f**2 - 5*f - 6. Let y be n(-1). Let s(c) = 2*c - 6. Calculate the least common multiple of s(6) and y/3 - 10/15.
48
Suppose -8*k + i = -393, 180 = 2*k + k - 4*i. What is the lowest common multiple of k and 1612?
19344
Let h be 4 - 0 - ((-5615)/(-280) + 7). Let m = h + 117/8. Calculate the common denominator of -52/27 and m.
189
Let r(x) = -2*x**3 + 84*x**2 + 98*x - 447. Let m(g) = 2*g**2 - 2*g - 1. Calculate the least common multiple of r(43) and m(-2).
759
Let g = -252/101 + 100141/40905. Calculate the common denominator of g and -82/165.
4455
Let w = -3110 + 77709/25. Calculate the common denominator of 156/(-15) - (22 - 23) and w.
25
Let k be (-219780)/1 + 28/(-7). Let r be (-1 - k/268598) + (-8)/(-44). Let i = r + -573838/183135. Find the common denominator of i and -73/6.
30
Suppose r - 1406 = -5*p + 2359, -4*p + 7566 = 2*r. Calculate the least common multiple of r and 2760.
30360
Let a = 1530/173 - 11/1038. Let r = -893/231 + 85/77. Calculate the common denominator of a and r.
42
Let a = 68 - 61. Suppose 5*w + 2*y = 80, 2*w + 5*y = a*w - 80. Calculate the smallest common multiple of 0 + 1 + -1 - -12 and w.
48
Let n be -7 + (-140995)/(-17625) + -1. Let m = -11741/31725 + n. Find the common denominator of -37/12 and m.
108
Suppose -2*t + 24 - 84 = 0. Let w = 117 - t. What is the least common multiple of w and 126?
882
Let r = 17671029504/65 - 271884347. Let p = r - -22354. Find the common denominator of 4736/(-259) + 11 + 0 and p.
455
Suppose 0*f = 3*f - 2*i + 784, 4*f + 1040 = 4*i. Find the common denominator of (7 - (-1598)/f) + (-4)/(-6) and 43/14.
308
Let t(n) = -n**3 - 9*n**2 - 2*n - 30. Let r be t(-9). Let m = -6 - r. What is the lowest common multiple of (m/7)/(8/56) and 10?
30
Suppose -4*a + 3*a = -5*j - 138, 0 = -5*a - 4*j + 632. Let n = 10357 + -31462/3. Let q = a + n. Calculate the common denominator of -93/2 and q.
6
Let c(p) = -8*p. Let i be (-14 - -16)/(-2*1). Let d be c(i). Calculate the common denominator of (272/72)/(d/(-30)) and -31/12.
12
Let r = -1036001/36 + 28775. Find the common denominator of r and 31/80.
720
Let a = -9724/21 + 1664/7. Let m = -207 - a. What is the common denominator of 61/33 and m?
33
Let w = 8/529 - -41623/11109. Suppose 5*u = 6 - 76. Find the common denominator of w and (-2)/(-7) + u/(-147).
21
Suppose 0 = 6*g + 382 + 986. Let x = g - -246. Calculate the least common multiple of x and 135.
270
Let q be 16/2*(-18)/(-12). Suppose -4*o + q = -0*o. What is the lowest common multiple of o and 24/(-10)*((-340)/(-12))/(-17)?
12
Let q = 511574237852551/1233884976 - 552/25705937. Let p = 414568 - q. Let d = p - -116/3. Calculate the common denominator of d and 139/12.
48
Let r = -132967223/12246 + 141156/13. Find the common denominator of -9/1727 and r.
10362
Suppose -73*u + 72*u + 357 = 0. Let d = 7508/21 - u. Find the common denominator of d and -20/3.
21
Suppose 0 = 5*l + 5*o - 110, 124 - 14 = 5*l - 2*o. Let k = -204085 - -204107. What is the smallest common multiple of l and k?
22
Let u = 3/16 - 13/240. What is the common denominator of 778/2723 - 1248/(-189) and u?
45
Let c = 260 + -186. Suppose 8*u - 90 - 86 = 0. What is the lowest common multiple of c and ((-84)/(-56))/((-41)/u + 2)?
814
Let l(j) = -j**2 + 10*j + 27. Let s be 