1 = -30*j. Let q = 107 - j. What is the smallest common multiple of q and 64?
64
Let x = 4989 - 25003/5. What is the common denominator of x and -3/2092?
10460
Let q = -17 + 22. Suppose 2*z + 3 = -z, 0 = -q*j + z - 204. Let i = -35 - j. Calculate the least common multiple of i and 10.
30
Let k be (-9)/((-36)/8)*45. Suppose 11*b - k = b. What is the smallest common multiple of b and (2/3)/((-8)/(-24))?
18
Find the common denominator of 101/22 and (79/(-1050) + (-216)/(-2700))*(-755)/196.
90552
Let v(y) = -y**3 - 2*y**2 + 15*y + 7. Let l be v(-6). Let j = l + -58. Find the common denominator of -33/16 and (2 - j)/(66/(-9)).
176
Suppose 3*w = 2*w + 5. Suppose -w*s + 103 = 3*m, 2*s = -2*m - m + 43. What is the smallest common multiple of 93 + (-1)/(18/(-306)) and s?
220
Let s be (0 - -1)*87/(-87). Find the common denominator of -1817*s/(-306) - 2/17 and 59/27.
54
Let c(u) = 24*u + 264. Let j be c(-12). Find the common denominator of (-69)/74 + (-18)/j and 51/28.
1036
Let t = 104 - 116. Let m = 21308/9 + -2370. Find the common denominator of m and (-1*(-57)/t)/(63/24).
63
Suppose -49*c - 135*c + 53500 = -212564. What is the least common multiple of 18 and c?
4338
Let z = 8428 - 3506057/416. Let w = 27233/16 - 1701. Calculate the common denominator of w and z.
416
Let m = -729/715 + 58/65. Calculate the common denominator of m and 4/(-18) - 1866/(-540).
330
Let u = -4/22633 - 3372125/1086384. Calculate the common denominator of (314/(-24))/(7/2) and u.
336
Suppose 0 = -152*k + 172*k - 200. Suppose -4*i + 53 = -43. Let j = i - 2. Calculate the lowest common multiple of j and k.
110
Let w be 4*(-4)/8 + 9. Suppose w*l = 9*l, 0 = 2*d + 5*l - 24. What is the least common multiple of d and 11?
132
Let b be 4/18 + (-34)/(-9). Suppose -190 = -61*p - 7. Suppose p*y + 5*n - 77 = -0*y, -b*n + 124 = 5*y. What is the common denominator of -11/5 and y?
5
What is the common denominator of (-238)/30*(-5)/6 and 10/(-4) + (-10)/330*-48?
198
Suppose -407*r + 408*r + 5*c = 750, 0 = 4*c + 16. Calculate the smallest common multiple of r and 1540.
1540
Let i(u) = 11*u**2 + 20*u + 47. Let w be i(-3). Suppose -28 = -w*n + 84*n. Suppose -48 = -2*z - z. Calculate the smallest common multiple of z and n.
112
Let n be (-12)/(-9) - 179448041/1791. Let a = n + 100193. Let j = a + 45889/14328. Calculate the common denominator of j and 149/12.
24
Let b = -54 + 44. Let l = 12 + b. Suppose 5*r + x - 2*x = 40, 2*r - l*x = 8. What is the least common multiple of 8 and r?
72
Let v = -454 + 456. Suppose -v*f = -5*j + 26, -2*j + 5*f - 2 + 25 = 0. What is the smallest common multiple of j and 64?
64
Find the common denominator of (14/(-35) - 5/175) + 220/288 and -115/168.
504
Let h = 11331 + -373892/33. Calculate the common denominator of h and ((-194139)/216)/37 + 2/16.
66
Suppose 22*y = 36*y + 59*y - 7227. What is the least common multiple of y and 252/(-49)*(-13 - 1)?
792
Let x = 41 - 38. Suppose 0*v + 12 = x*v, 4*c - 5*v = 100. Suppose 3*h + 0*h - 90 = -2*j, 4*j + 2*h = 164. Calculate the smallest common multiple of j and c.
390
Let z(f) = -f**3 + 23*f**2 - 23*f + 17. Let d be z(22). Let p be -6*(14949/(-2994) - d). Let q = 14461/23952 - p. Find the common denominator of -23/6 and q.
48
Let g = 17115 + -4605. What is the lowest common multiple of g and 12?
25020
Suppose -2*a - a + 22 = s, -4*a + 11 = 5*s. Suppose 2 = f - a. Calculate the smallest common multiple of f and 18.
198
Let n be ((-3996)/(-27))/(5 + -1). Suppose n*s = 46*s - 36. Calculate the least common multiple of ((-8)/5)/((-1)/5) and s.
8
Let j = 1843119 + -6937499847/3764. Calculate the common denominator of 87/4 and j.
3764
Let l(s) = s + 20. Let y = -5391 + 5421. What is the lowest common multiple of l(-10) and y?
30
Let g(p) be the second derivative of -p**4/12 - 5*p**3/6 + 5*p**2 + 42*p. Let n be g(0). Calculate the least common multiple of -8 + 57 + n/2 and 30.
270
What is the common denominator of (49823/998)/((-100)/(-10)) + -5 and 19/22?
109780
Let y = -3082/11 + 9331471/33308. What is the common denominator of y and 145/12?
9084
What is the common denominator of ((-1940)/(-520)*2)/(2 - 34/2) and (-32)/(-24)*67/(-40)?
390
Let z = 2995 + 2637. Calculate the smallest common multiple of 44 and z.
5632
Calculate the least common multiple of ((-2872)/(-20))/(((-91)/13)/(-105)) and 5.
10770
Suppose -4*d + 28 = 0, -5*j + 56*d + 17 = 57*d. What is the lowest common multiple of 7956 and j?
7956
Suppose 4*u + 75 - 547 = 0. Let p be (31 + -32)/(2/u). Let f = 91 + p. Calculate the least common multiple of f and 8.
32
Suppose 5*c + 75 = -5*o + 4*c, -5*o - 3*c = 65. Suppose 6*b - 112 = 5*m + 10*b, -23 = m + b. Let p = o - m. Calculate the lowest common multiple of 16 and p.
16
Let t be 4/10 - (-53260)/350. Let j = t - 7115/42. What is the common denominator of -73/9 and j?
18
Let n be 43 - (7 - 2)/(-2 + 1). Suppose 2*x + n - 324 = 2*a, -4*a - 132 = -x. Calculate the lowest common multiple of 40 and x.
280
Let a = 267038142359449/34518 - 7736199733. Let g = a - -90/523. Find the common denominator of -85/18 and g.
198
Let v = 375381 + -466598557/1243. Find the common denominator of -83/33 and v.
3729
Let y = -593312/45 + 13186. Find the common denominator of ((-144)/45)/((-396)/50) and y.
495
Let k = 68375/322 - 4764/23. What is the common denominator of k and -55/1068?
7476
Let q be (-2)/(-8) + 0 + 100014746/(-488). Let u = q - -49597329/242. Calculate the common denominator of 61/2 and u.
242
Suppose 4*p - 3*t = 32, -3*t = 3*p + 2*t + 5. Suppose 3*m = 3*y + p*m - 21, -5*y - 5*m + 30 = 0. What is the smallest common multiple of y and 4?
36
Suppose 0 = -3*n - 0*n. Let r(o) = 3*o**3 - 5*o**2 + 3*o - 1. Calculate the smallest common multiple of (3 - n)/(9/6) and r(3).
44
Let q be 5 - -357 - (-4)/6*-3. Find the common denominator of 910/450 + 2/10 and (-2)/(-4) - ((-1325)/q + 6).
72
Let y = 29023/3 - 1780081/184. What is the common denominator of -1/4830 and y?
19320
Let c = 60 + -40. Let z be (-9)/(-2)*(69/9 + -5). Suppose 16*m - 17*m + z = 0. What is the lowest common multiple of c and m?
60
Let r(j) = j**3 + 3*j**2 + 4. Suppose 4*c + 0*c = 0. What is the smallest common multiple of 17 and r(c)?
68
Let f(r) be the second derivative of -r**5/10 + 9*r**4/4 - r**3/6 - 25*r**2 + 100*r. What is the least common multiple of f(13) and 18?
954
Let d = 8595 - 8019. Calculate the least common multiple of d and 96.
576
Let s(i) = i**2 - 18*i - 4. Let k be s(18). Let h(p) = 3*p**2 - 7*p - 10. What is the smallest common multiple of 42 and h(k)?
462
Suppose 20 = q + 4*q. Suppose -2*i - 26 = 2*r - q*r, -2*r = -6. What is the common denominator of 54/i*7/21 and 65/4?
20
Suppose -x = -0*x, 2*k + 2*x = 488. Calculate the least common multiple of 3 and k.
732
Let i = 64 + -46. Let j = -9/73 + 6515/146. What is the common denominator of 9/(-728)*(-2 + 300/i) and j?
182
Let n(p) = -p + 9. Let u be n(-8). Let s(f) = f**3 - 18*f**2 + 25*f - 72. Calculate the lowest common multiple of s(u) and 176.
704
Let n(z) = 28*z**3 - 4*z**2 - 11*z - 2. Let b be n(-2). Let k be (b/(-40))/((-1)/(-2)). Suppose 0 = y - k - 19. Calculate the least common multiple of y and 1.
30
Suppose -20*g = -6074 - 226. Calculate the common denominator of 282/(-108)*1/(-1) and 1/(-6) + (-3822)/g.
90
Let j(f) = -101*f**3 + 7*f**2 + 10*f - 6. What is the least common multiple of 162 and j(-2)?
810
Let c be 0 - 0 - 0 - -48. Let d be ((-2)/8)/(9/12)*-6. Find the common denominator of -3/28 and (d/c)/(4/(-6)).
112
Find the common denominator of (30/(-2292))/(2/(-14)) and ((-186)/32 - -4)*(16 + -12).
764
Suppose 3*k = z + 33, 3*k + 5*z + 114 = 165. Suppose 5*f + 5*h = 2655, -3*f + 2266 = 4*h + 676. Calculate the least common multiple of f and k.
1068
Let a(m) = 6*m**2 + 24*m - 6. Let c(r) = -17*r**2 - 73*r + 18. Let s(t) = 8*a(t) + 3*c(t). What is the least common multiple of 10 and s(-6)?
60
Let a(z) = z**2 - 16*z + 19. Let f be a(15). Suppose 4 = w, -3*w = -3*v - v - f. Suppose -v*c + 17 = -19. What is the smallest common multiple of c and 46?
414
Let z(d) = d**3 - 13*d**2 + 10*d - 20. Let c be z(15). Find the common denominator of (-658)/c - (54/10)/(-9) and (6/16)/((-12)/(-148)).
232
Find the common denominator of 1/21*(-69)/4 and (21/448)/((-3)/204).
112
Let f(j) = -j**3 + 7*j