 Calculate the least common multiple of 33 and g.
2442
Let p(m) = 17*m**2 + 6*m + 5. Let j be p(-3). Suppose -2*v - j = -12*v. What is the least common multiple of 90 and v?
630
Let r = -3478 + 3490. What is the lowest common multiple of 204 and r?
204
Suppose 0 = 70*q - 69*q - 5. Let x(k) = 2*k**2 + 18. Let r be x(0). Suppose 2*f = 8*f - r. What is the least common multiple of f and q?
15
Let x = 207 - 182. Suppose -j + 225 = 4*j + 4*s, -4*j = -2*s - 180. What is the least common multiple of j and x?
225
Let v(q) be the second derivative of q**5/20 + q**4/3 - 5*q**3/6 - 2*q**2 + 85*q. Calculate the smallest common multiple of 28 and v(-3).
140
Suppose -11*c - 10*c = -315. Suppose -12 = 9*t - c*t. What is the least common multiple of t and 298?
298
Let y = -12194 - -146183/12. What is the common denominator of (12/(-8))/((-18)/(-106)) and y?
12
Let u = 210321/16 - 13141. What is the common denominator of u and 10/(-12)*(-2403)/1710?
304
Let i(c) = 6*c**3 - 3*c**2 + 59*c - 212. Calculate the smallest common multiple of i(4) and 720.
720
Find the common denominator of 6358/(-189873)*(-6)/8 and 71/2.
438
Let g be (13/11 - 1) + (-5604)/(-33). Suppose -145 = -p - 3*q, -5*p + g = -4*p - 2*q. What is the lowest common multiple of 4 and p?
160
Suppose -2*i - 3*d + 827 = 0, 75*d - 73*d + 802 = 2*i. Calculate the lowest common multiple of 42 and i.
1218
Suppose 63*h - 60 = 43*h. Suppose 0 = h*p + 5*n - 218, -4*p - 4*n = -n - 276. What is the lowest common multiple of p and 4?
132
Suppose 8*v - 3*b - 103052 = 4*v, -2*v + 51536 = -4*b. Let p = -1519794/59 + v. Find the common denominator of p and 37/3.
177
Let p = 27254/3 - 9085. Calculate the common denominator of p and 2*12 - (-2)/(-6).
3
Let u = 8230 + -172748/21. Let j = 282 + -274. What is the common denominator of u and 4 - j - 664/(-192)?
168
Suppose 0 = 5*b + 4*v - 136, 0*v - 59 = -2*b + 3*v. Let d be 9016/b - (1 - (0 - -1)). Find the common denominator of d/(-48) - 5/(-2 + -13) and 31/13.
104
Let g(r) = 3231*r - 3. Let f be g(-1). Let n = f - 7253. Let d = -440411/42 - n. Calculate the common denominator of 67/14 and d.
42
Let t(k) = k**3 - 6*k**2 + 10*k - 6. Suppose 4767 = 238*n - 4125 - 1818. What is the smallest common multiple of t(6) and n?
270
Suppose -5*w = -4*a + 572, 4*w = -2*a + w + 264. Calculate the common denominator of 30/100*a/(-33) and -17/10.
110
Let r = -49517/25 - -1980. Calculate the common denominator of r and 71/8250.
8250
Suppose -11*n - 80 = -28*n + 5. Calculate the smallest common multiple of n and 50.
50
Suppose 17489 = 9*f - 7041 + 3146. What is the smallest common multiple of f and 891?
7128
What is the common denominator of 79/42 and (-3660)/(-315)*(-6)/168*-1?
294
Let y = 512 + -465. Let p = y + 7. What is the lowest common multiple of 63 and p?
378
What is the smallest common multiple of 128 and 4 + 732 - (-2 - (-2 - 0))?
2944
Suppose 4*s - 32 = -a, 4*s + a + 2*a - 32 = 0. Let z = 58 - s. Calculate the smallest common multiple of z and 45.
450
Let s = 4623099354/8341 - 554262. Let c = s - -440921/800736. What is the common denominator of 139/84 and c?
672
Let o be (1565/(-60))/((3/(-351))/(-1)). Let n = -347929/114 - o. Calculate the common denominator of n and -7/6.
228
Suppose 19 - 7 = 4*u. Suppose o = r + 2*o + 76, -5*r - 356 = -u*o. Calculate the common denominator of -87/4 and (14/84)/(1/r).
12
Let p = -47979/5 + 3646427/380. What is the common denominator of p and 149/1026?
10260
Let b(i) = -9*i**2 - 10*i - 3. Let r be b(-3). Let c = 12 - r. What is the least common multiple of 9 and c?
198
Suppose 2*c - 20 - 6 = 0. Let t = c - 8. Let x = -381 + 383. What is the lowest common multiple of x and t?
10
Calculate the smallest common multiple of 6/(-5) - (1 + (-2112)/60) and 1474.
4422
Suppose 72*m - 8*m = -31*m + 1425. Calculate the lowest common multiple of m and 180.
180
Suppose -8 = 5*z + 2. Suppose -29*a + 30*a + 4*v = -8, -4*v - 16 = -a. What is the least common multiple of (a - (z + 2)) + 5 and 1?
9
Let t be (4/144*-3)/(12/(-365931)). Let g = 2540 - t. What is the common denominator of -59/28 and g?
112
Suppose 852*y - 80 = 812*y. Calculate the lowest common multiple of y and 14.
14
Find the common denominator of 419/(-171) + (-222)/(-57) + -4 and 770/(-828) - (-2)/(-9).
414
Suppose -3*u + 4*p + 44 + 427 = 0, -176 = -u - 5*p. Let q = -143 + u. What is the smallest common multiple of q and 124?
1116
Suppose 7*u - 104 = 43. Let b = -43 - -82. Let p = b - 36. What is the least common multiple of u and p?
21
Suppose -220 = -38*j - 524. Let o(w) = w**2 + 4*w. What is the lowest common multiple of (j/(-24))/(4*3/648) and o(3)?
126
Let v(y) = -y + 39. Let n be v(50). Calculate the smallest common multiple of (4 + 0)/(10 + n) + 5 and 25.
25
Let s(h) = -485*h - 9. Let g(m) = 486*m + 9. Let f(r) = 6*g(r) + 5*s(r). Let n be f(-4). Let i = n + 3815/2. Find the common denominator of 15/8 and i.
8
Suppose 2123 = -7*i - 18653. What is the common denominator of ((-392)/i)/(3/(30/16)) and 47/10?
2120
Let n = -1988 + 2170. What is the smallest common multiple of 10 and n?
910
Let l = -48035/21 - -6853/3. What is the common denominator of l and (0 - 40) + (-778090)/(-20895)?
21
Suppose 2*z - z + 4*h = 33, -2*h + 6 = 0. Let x(i) = 14*i**3 - i**2 + 2*i - 1. Let q be x(1). Let v = q - -7. Calculate the smallest common multiple of z and v.
21
Let s = -51 - -49. Let a be -8*(207/(-180) - s/5). Suppose -2*h = -2*n + a*n + 2, h + 11 = 3*n. Calculate the smallest common multiple of 66 and n.
66
Suppose 0*f - f + 5*b = -4, 2*b = 5*f + 3. Let v be f + 221300/(-105) + -3. Let y = 2112 + v. Calculate the common denominator of y and -19/27.
189
Suppose -26*c + 4130 = -16*c. Find the common denominator of ((-8)/48 - c/6)/40 and 8/15.
120
Let z(u) = -u**2 + 2*u + 42. Let h be z(0). Find the common denominator of 2 + h/9 - 6 and -34/33.
33
Let c be 2 - -3 - (-232688)/(-660). Let a = 1729/5 + c. What is the common denominator of 157/30 and a?
330
Suppose 3*v = 46 + 8. Suppose 135*x - 156*x + 210 = 0. Calculate the smallest common multiple of (-26)/(-65) + 36/x and v.
36
Suppose -16*w + 45*w - 348 = 0. Suppose 4*y - 654 = -4*h + 170, 3*y - 614 = -h. What is the smallest common multiple of w and y?
204
What is the least common multiple of 12 + (3 - 5) + 1/1 + -5 and 328?
984
Let u = 779/12 - 208/3. Find the common denominator of u and -97/570.
1140
Let y = 4804559863/495 - 97040409/10. Let i = y - 23478/11. What is the common denominator of i and -83/26?
234
Let w = 203252/57 + -3566. Let x = -5261177/181830 + 10913/319. Let r = w + x. Calculate the common denominator of 17/18 and r.
90
Suppose -13*k + 1680 = 2*k. Let p = -175 + 211. What is the least common multiple of p and k?
1008
Let x(r) = 10*r**3 - r**2 - 3*r. Let d be x(2). Let s = -50 + d. Let v(l) = l**3 - 8*l**2 + 23*l + 12. What is the least common multiple of s and v(7)?
620
Suppose -30 = -3*k - 135. Let v = -8212 + 8161. Let r = k - v. Calculate the smallest common multiple of r and 12.
48
Suppose 37*j + 246 = 40*j. Suppose -87*z + j*z + 340 = 0. Let y = z - 35. What is the least common multiple of 30 and y?
330
Let a(l) = 18*l - 22. Let q be a(-5). Find the common denominator of -109/60 and (-136)/105 + q/140.
420
Suppose -3*h = -2*p - 61, -5*p = -2*p - 3. What is the least common multiple of 63 and h?
63
Let c = 310/7779 - 156367/518600. What is the common denominator of -85/344 and c?
25800
Let y = 9047 + -7051. Calculate the lowest common multiple of 20 and y.
9980
Let g(p) = -p**2 - 115*p + 751. Calculate the least common multiple of 36 and g(6).
900
Let p(t) = -t**3 + 17*t**2 + 3*t + 35. Let g be p(17). Suppose 5*k + 461 = g. What is the common denominator of -1/10 and 4/9*(-360)/k?
30
Suppose 0*w + 4*n = w - 362, -4*w + 1426 = -5*n. Let g = -1345/4 + w. Find the common denominator of -73/50 and g.
100
Let t(b) = -12*b**3 + 4*b**2 - 10*b - 12. Calculate the smallest common multiple of t(-1) and 1460.
10220
Suppose -3*w - 3*f + 1533 = 0, -3*w - 838*f + 833*f + 1547 = 0. Calculate the lowest common multiple of 645 and w.
108360
Suppose -54*n - 53*n - 343872 = -395*n. What is the smallest common multiple of n and 30?
5970
Let w = -2299/6 + 27595/72. What is the common denominator of w and 91/704?
6336
What is the common deno