
6078
Let z = -3551/30 + 581/5. Let q = 15489 - 557545/36. Calculate the common denominator of q and z.
36
Let b(x) = -x**2 - 34*x + 28. Let t be b(-34). Let c be ((-8)/6)/((-8)/36). Let o = t - c. Calculate the lowest common multiple of o and 6.
66
Let p(z) = -z**2 - 9*z + 15. Let u be p(-10). Suppose -l - 1 - 8 = u*s, 0 = -3*l + 2*s + 7. Calculate the lowest common multiple of l and 480.
480
Let f(h) = -h**2 - h + 1. Let w(z) = -z**3 + 8*z**2 + 9*z - 5. Let i(l) = -5*f(l) - w(l). What is the smallest common multiple of 10 and i(5)?
30
Suppose 0*v - 15*v = -1980. Suppose -6 = -2*l, -v = 70*f - 74*f + 4*l. Let h = -49 + 109. Calculate the least common multiple of f and h.
180
Suppose 0 = g - 301 + 101. Let q be ((-5)/(-10))/((-5)/g). Calculate the common denominator of 3 - (4 + -5)*278/q and -48/11.
110
Let a = 5572 - 2247. Calculate the smallest common multiple of 4275 and a.
29925
Let w = 32541/56 - 4016/7. Calculate the common denominator of -113/522 and w.
2088
Let b(d) = -25*d - 1. Suppose 0 = -2*n + 4*p + 20, -p + 13 = 2*n - 6*p. Calculate the lowest common multiple of b(-1) and n.
24
Let k be 25356/10 - (-21 + 26). Suppose 2*v - 5069 = -5*j, 6*v + 4*j - 7586 = 3*v. Let r = k - v. Calculate the common denominator of r and -12/7.
35
Let s be 34/9 - (-4)/18. Suppose j - 43 = s*w - 104, 0 = -w - j + 19. Suppose 78257*t - 308 = 78235*t. Calculate the lowest common multiple of w and t.
112
Let x = -24055 - -24085. Let k(c) = -17*c - 3. Calculate the least common multiple of x and k(-4).
390
Let z = 13385 + -12955. What is the lowest common multiple of 1505 and z?
3010
Let d = 81908069/308 + -265935. Find the common denominator of d and -61/54.
8316
Let v = 73 + -66. Suppose 4*h = v*h + 1053. What is the common denominator of (h/24)/((-42)/8) and 71/12?
84
Let s be (-7)/5 - 21/35. Let b be (s/(-185))/(-4 - 4913416/(-1224460)). Let g = b - 3/2183. What is the common denominator of g and 137/30?
330
Suppose -52 = -o + 406. Let h = o + -394. What is the smallest common multiple of h and 48?
192
Let y be ((-3)/(-1))/3*4. Let d(w) = w**2 + 24*w + 47. Let g be d(-17). What is the common denominator of (-1)/y - 1086/g and -27/10?
30
Let j = 44510643/13 - 3426892. Let k = 2993 + j. Find the common denominator of 73/4 - (0 + -2) and k.
52
Let q = 3270571/69264 + -5248/111. Calculate the common denominator of q and -17/60.
9360
Let k(j) = -j**3 + 8*j**2 - 17*j - 2. Let r be k(5). Let w = -10135 - -243287/24. Find the common denominator of w and (2 - (-352)/r)/16.
24
Let c = -37482 + 37653. What is the smallest common multiple of c and 138?
7866
Let t = -40 - -70. Let k = -167511 - -167535. What is the smallest common multiple of t + 0 - 0/(-2) and k?
120
Let w be (-35)/(-8)*9/(-20)*6462. Let y = 12718 + w. Calculate the common denominator of -45/32 and y.
32
What is the common denominator of (92/(-16) + 5)/2 - 4 and -77/214?
856
What is the common denominator of -11/2430 and (-1808)/(-12)*(-4)/4320?
2430
Let h = 1187 + 328. What is the smallest common multiple of 5555 and h?
16665
Let t(y) = 2*y + 20. Let w be t(12). Let a = w + -32. Suppose 2*z + 55 = 3*o + z, -3 = 3*z. What is the smallest common multiple of a and o?
36
Let f = 4247 + -4183. What is the smallest common multiple of 27 and f?
1728
Calculate the common denominator of (-24)/(-36)*18*65/(-440) and (-6)/36*-153*(-10)/12.
44
Calculate the smallest common multiple of 180 and ((-144)/(-20))/(110/300 - 1/6).
180
Let v = 244 + -240. Suppose -4*s - v*s + 128 = 0. Calculate the least common multiple of s and 8.
16
Let r = 167873/16 - 10490. Calculate the common denominator of r and -59/280.
560
Let p be (2/17964)/(31961955/(-2130795) - -15). Let j = 9/998 - p. Calculate the common denominator of 67/244 and j.
732
Let q = 11193/10 - 1121. Let t be (-12)/42 + (-19)/7. What is the common denominator of q and (5/t)/((16/30)/(-4))?
10
Suppose 13*s + 120 = 7*s. Find the common denominator of s/(-216)*183*(-6)/(-20) and 127/48.
48
Let p be 27574/(-36) + (5 - (2 + 5)). Let q = -2321/3 - p. What is the common denominator of (-131)/(-60)*(-15)/(-6) and q?
72
Suppose -3*v - 25 = 5. Let l be ((-5)/(-2))/((-5)/v). Suppose -4*a - 3*m + 138 = -m, l*m = a - 29. Calculate the common denominator of a and -43/8.
8
Suppose 2292 = -46*f - 2676. Let t(s) = s**3 - 8*s**2 - s. Let a be t(8). What is the common denominator of -81/8 and (a/f)/(16/(-858))?
72
Suppose -2*n + 5*s = -275, 0 = -2*n + s - 38 + 317. Let m = n + -119. What is the common denominator of (m/35)/(2/12) and 58/7?
35
What is the smallest common multiple of 4860 and -10 + 6 + -3 + (0 - -8)?
4860
Let h = 7304485/217 + -33661. Find the common denominator of h and 37/98.
3038
Let r be (10 + 0)/(-5 + 3). Let x be (4*(0 + -1))/(-1). Calculate the common denominator of (r/((-20)/72))/(x/9) and 89/10.
10
Let s(c) = 589*c + 1. Let f be s(-2). Calculate the common denominator of 4/(-6) + f/(-330) and -59/20.
20
Let g(d) = d**3 + 28*d**2 + 107*d - 150. What is the lowest common multiple of 41 and g(-23)?
1394
Suppose 3*s - 33 = 3*t, 10*t - 12*t - 34 = -4*s. What is the lowest common multiple of 1998 and s?
1998
Let v = -331/40 + 1079/120. Calculate the common denominator of v and 59/40.
120
Suppose -39*n = 537 - 147. What is the smallest common multiple of (57/15)/(((-8)/n)/4) and 11?
209
Let i be ((-624)/(-195))/(-2 + (-48)/(-25)). What is the common denominator of ((-595)/i)/(9/(-12)) and -103/22?
66
Suppose 2*a = 4*u + 48, 3*a + 3*u = 11 + 34. What is the smallest common multiple of 742 and a?
6678
Let i = -4/73 - -1265/438. Suppose 92 = -4*y + 4*w, -y - 2*w + w = 13. Find the common denominator of i and (2 - 528/y)*2/(-20).
30
Let w = 600874 + -277603967/462. What is the common denominator of w and 211/630?
6930
Suppose -2*i + 636 = 2*u, 8*i - 13*i + 645 = 2*u. What is the smallest common multiple of 5 and u?
315
Suppose 2*z - 9501 = -4*j - 2517, 4*z = 2*j - 3472. Calculate the lowest common multiple of j and 4.
1744
Let a(r) = 9*r**2 + 2*r + 18. Let j be a(-5). Let v = -185 + j. Calculate the smallest common multiple of v and 24.
48
Suppose 76*u - 41246 - 23134 = -11*u. What is the least common multiple of 222 and u?
2220
What is the lowest common multiple of 92 and 9/((312/256)/13)?
2208
Suppose -5*h + 5 = 46*j - 43*j, 0 = 3*j + 15. Suppose -4*z - 11*s + 192 = -13*s, 48 = z - h*s. What is the least common multiple of z and 24?
48
Let s = -8650 + 8690. What is the smallest common multiple of 300 and s?
600
Suppose a - 54 = -15. Calculate the common denominator of a and ((-39)/21)/(-16 + (-3870)/(-245)).
10
What is the common denominator of -107/912 and (-2)/5 - 0 - 15/(786600/(-30061))?
912
Suppose 9*h - h - 560 = 0. Let c be (-7)/(-4 + 281/h). Find the common denominator of (-18)/(-20)*c/336 and 143/18.
144
Let g be (-70)/28*4/2. Calculate the smallest common multiple of (-1953)/(-35) + (-6)/g and 24.
456
Suppose 3*o - 7*o - 7876 = -f, -31569 = -4*f + 3*o. Find the common denominator of 23/222 and (2/(-7))/((-384)/f).
888
Let w(z) = 6*z - 102. Let s be w(4). What is the smallest common multiple of 253/3 + (-52)/s and 30?
510
Suppose 3*a = -4*k - 0*a + 127868, 4*k - 127892 = 3*a. Let n = -2557513/80 + k. What is the common denominator of n and -83/24?
240
Let j(c) = 5*c - 1. Suppose 3*v + i + 31 = 34, -i = -3. Suppose 4*x + 0*x + 5*m - 198 = v, -158 = -3*x + m. What is the lowest common multiple of j(1) and x?
52
Suppose -8*l = 319 - 1247. What is the least common multiple of 280 and l?
8120
Let s = -5 + 9. Let p = -14600 - -14279. What is the common denominator of (-2)/s*(p/6 - -3) and -65/48?
48
Suppose 21199 = 10617*o - 10591*o - 2747. Calculate the lowest common multiple of o and 10.
9210
Let y(n) = 67*n + 517. What is the smallest common multiple of 1968 and y(-7)?
1968
What is the smallest common multiple of 663 and -2 + 3*12/(13 + -7)?
2652
Let o = -16772/443421 - 63/2986. What is the common denominator of -119/2376 and o?
2376
Let v(h) = 13*h**2 - 413*h - 82. Calculate the least common multiple of 9742 and v(32).
68194
Let b = -196 - -25885/132. Let v = -103545 - -3416363/33. Let c = v + b. What is the common denominator of 73/2 and c?
4
Suppose 5*p + 2*d - 14 = 0, -4*d - 2 = 4*p - 6. What is the smallest common multiple of 54 and 0 + (12/p)/3 - 