2039. What is the lowest common multiple of r and 10?
1920
Let x = 16479/24016 + 2/1501. Let k be 37933/6 - (4 - 3). Let y = -6346 + k. Find the common denominator of y and x.
48
Let j = -13/431 + 899/15516. Find the common denominator of -43/234 and j.
468
What is the least common multiple of 6 + 3/6*-4 and 41?
164
Suppose 3*o + 120 = 7*o. Calculate the common denominator of ((-1524)/(-90))/(((-3)/(-15))/(1/(-8))) and o/(-16)*10 - 0.
12
Suppose -4*c = 93 - 21. Find the common denominator of 31/99 and ((-308)/20 + 2)*(-2)/c.
495
Let c = 997498675/1208 + -825744. Calculate the common denominator of c and 7/151.
1208
Let s(x) = 2*x**2 + 30*x + 55. Let l be s(-2). Suppose -3*h - 3*b + 287 = 32, 171 = 2*h + l*b. Calculate the least common multiple of 24 and h.
168
What is the lowest common multiple of 9 and 22/176*16*(-1899)/(-6)?
1899
Let o = -6940 + 2708. Let h be ((-8470)/o + -2)*1/2. Let d = -96293/21160 + h. Find the common denominator of 79/10 and d.
20
Let f = -6211 - -13933. Let w = -555971/72 + f. What is the common denominator of w and -77/96?
288
Let b = -488631 - -13688147/28. Let y = -953/4 + b. Find the common denominator of 11/41 and y.
287
Let c be 3/(-258)*(-95624)/278 + -4. Let b = 42059/657470 + c. Calculate the common denominator of b and 37/4.
220
Let i = 419843/33 + -12721. Find the common denominator of i and -83/264.
264
Let s(q) = 4*q**2 - 335*q + 1663. Suppose k + 12 = 2*k. Calculate the lowest common multiple of s(5) and k.
264
Suppose 495 = 3*p + 279. Suppose -f + 63 = -c, -c + 3*f + 151 = -3*c. Let k = c + p. What is the smallest common multiple of 3 and k?
12
Let s = -2/3037 - -130651/91110. Let p be (-1)/4 - 155537*5/300. Let w = p - -12933/5. Find the common denominator of s and w.
30
Let g(v) be the third derivative of 3*v**4/8 - 17*v**3/2 - 11*v**2 + 6*v. Let x(d) = -3*d - 3. Calculate the least common multiple of x(-3) and g(7).
12
Let b = -9937 + 10010. Suppose 6*f = a + f - 6, -15 = -a - 4*f. Calculate the smallest common multiple of b and a.
803
Let t = 8401183/1188 - 21215/3. Find the common denominator of t and 61/1188.
1188
Suppose 0*j + 5*j + g - 13365 = 0, j + 2*g - 2682 = 0. Suppose -s + 4*y + 403 = 0, 5*y + j - 627 = 5*s. What is the smallest common multiple of 33 and s?
4521
Let m(y) = -y**3 + 75*y**2 + 2011*y + 492. Suppose i - 299 = 15. What is the least common multiple of m(96) and i?
1884
Let o = -43 - 52. Find the common denominator of -6/11 and -9 - (o/25 + -7).
55
Let d = -11777 + 11835. Calculate the least common multiple of -2 - -5 - 58/(-2) and d.
928
Let a = 1957 + -1925. What is the least common multiple of a and 352?
352
Let o be ((-6387)/(-10))/((-54)/(-570)). Let t = -6763 + o. Let s = -775/7 + 118. Calculate the common denominator of t and s.
42
Suppose -8*d = -d - 14. Let c be (4/10 - (-10)/(-25)) + d. Suppose 32 + 10 = c*m. Calculate the smallest common multiple of 18 and m.
126
Let j = 53212630/9 - 5918641. Let r = -6133 - j. Find the common denominator of 247/(-1547)*-7 + -4 and r.
153
Suppose -4*m + 5*m = -o + 373, 2*o - 776 = 4*m. What is the least common multiple of (4/(-6))/((-6)/o) and 10?
210
Suppose 25*j = 52 + 148. Let d(u) = -u**3 - 5*u**2 + 3*u + 7. Let o be d(-5). Calculate the least common multiple of j and (-434)/o + 1/(-4).
216
What is the common denominator of 22/2 + (-72743)/6630 and 155/78?
390
Suppose 88 = -2*u + 4*d, 2*u = 4*u - 3*d + 89. Let s = u + 103. What is the common denominator of (-19)/s*23/3 and 54/19?
171
Let o = -2981 - -2985. What is the smallest common multiple of o and 2892?
2892
Let f(r) = -4*r - 19. Let m be f(-5). Let z be (-25)/10*4/20*-2. What is the lowest common multiple of 180 and 34/(-85)*((z - 32) + m)?
180
Let c = -52 + 59. Suppose 373 = -c*m + 58. Calculate the common denominator of 51/59 and m.
59
Let f(x) = 10*x + 26. Let j be f(-3). What is the lowest common multiple of 36 and j/18 - (-1146)/54?
252
Let v = 42052 + -3364079/80. Calculate the common denominator of v and -29/648.
6480
Suppose -2*c = 32 - 40. Suppose 2200 = 4*l + 4*u, 0 = 3*l + 3*u - c*u - 1634. What is the smallest common multiple of l/27 - (-6)/(-27) and 6?
60
Suppose 2*a - 5*c - 29 = 0, 0 = 4*c - 13 + 33. Suppose 4*q = i - 4*i + 45, 2*q = -6. Suppose -i*o + 15*o = -28. Calculate the lowest common multiple of a and o.
14
Let g = 10 + -4. Suppose -2*w - 2*o = 2*o - 24, -36 = -3*w + 2*o. Calculate the least common multiple of w and g.
12
Let u = -3451/54 - -397/6. What is the common denominator of u and 1/3*(9 - 10)?
27
Suppose 133 = 4*u + 3*j + 39, 4*u - 3*j = 130. Suppose 20 = 3*o + 2*o. Suppose o*d = 38 + 26. What is the smallest common multiple of d and u?
112
Let b = -1832761/48 + 38181. What is the common denominator of 35/8 and b?
48
Suppose -13*w + 702 = 2*w - 2*w. What is the lowest common multiple of w and 1584?
4752
Let a = -9043/43882 - -2/593. Let h = -635357 - -258589680/407. Let s = h - a. Find the common denominator of -17/6 and s.
66
Suppose 12844 = -210*w + 262*w. What is the smallest common multiple of w and 38?
494
Let w = -2622/7 - -8384/21. Let c(j) = -22*j + 2. Let l be c(-6). Let k = 1208/9 - l. Find the common denominator of k and w.
9
Let q = -41 - -43. Let o be 57/(-4)*(q + -6). Suppose -v = 3*f - o, -3*f + 4*v - 2*v + 48 = 0. What is the least common multiple of 4 and f?
36
Suppose -19 = -4*l + 41. Let u be -5*(l/(-25) - 0). Calculate the least common multiple of (6*u)/(2/(-1 + 3)) and 20.
180
Suppose -9 = -4*d + 4*m + 15, m = 4*d - 24. Suppose 25 + 77 = x. Calculate the least common multiple of x and d.
102
Let w = -53956 + 8740831/162. Find the common denominator of 285/(-84) - (-14)/98 and w.
324
Suppose 5*l = -r - 94, 4*r = l - 0*l - 418. Suppose -239*q - 2419 - 18661 = 5688. Let g = r - q. What is the least common multiple of g and 44?
88
Let l = -3821/460 - -114/23. Let y be 2 - 8 - (-717)/115. Let u = 1349/230 + y. Calculate the common denominator of u and l.
20
Let y = -4 + 13. Let x(z) = 5*z**2 - 48*z + 26. Let j be x(21). Let h = j + -1205. What is the lowest common multiple of h and y?
18
Let i = -302 - -1504/5. Suppose -419*a + 422*a - 12 = 0. Calculate the common denominator of (18/(-27))/(a/159) and i.
10
Let o(q) = 265*q - 1479. What is the smallest common multiple of o(7) and 329?
2632
Let t = 4372 + -4328. What is the least common multiple of 392 and t?
4312
Let h(i) = 24*i + 138. Let p be h(8). Suppose p = -3*d + 6*d. Calculate the smallest common multiple of 45 and d.
990
Let z(y) = 2*y**2 + 112*y - 877. What is the smallest common multiple of 4087 and z(7)?
20435
Suppose -4474*m + 4501*m - 2430 = 0. Calculate the smallest common multiple of 120 and m.
360
Let s = -7 - -47. What is the least common multiple of (-81)/(-135) + 0 + (-122)/(-5) and s?
200
What is the smallest common multiple of 144 and (-108)/24*(-2 + (-6 - -6))?
144
Let y = 5/84 + 2143/924. What is the common denominator of 6/121 and y?
726
Let n(b) = -4*b**3 - 53*b**2 - 10*b + 84. What is the smallest common multiple of n(-13) and 1416?
21240
Suppose 0 - 119 = 3*y + 2*h, 0 = -4*y + h - 144. Let m = 60 - 17. Let o = y + m. What is the smallest common multiple of 4 and o?
12
What is the lowest common multiple of 662 and (72/(-48) + 285/(-10))*2/(-3)?
6620
Suppose 2*a - 265600 = 476850. Let l = -215310377/580 + a. Calculate the common denominator of l and -5/18.
5220
Let z(y) = -4*y - 1. Let f(q) = -q - 7. Let h be f(-9). Suppose -h = 2*a - 6*a - 3*v, a + 9 = 4*v. Calculate the lowest common multiple of 6 and z(a).
6
What is the common denominator of 151/1128 and 6/2 + (-24 - -10 - (-982)/120)?
5640
Let d be (-51675)/260*((-9)/(-60))/(-3). Let h = 488844 + -23463599/48. Let y = d - h. Calculate the common denominator of y and -27/16.
48
Let a be (-3)/(-15) + 146927/(-735460). Let w = a - 395491/4533108. Calculate the common denominator of w and 89/10.
3390
Let z(y) = -13768*y**2. Let v be z(1). Let a = v + 550629/40. Let h = 20425/6 + -3414. Find the common denominator of a and h.
120
Suppose 0 = 5*d - 133 + 33. What is the lowest common multiple of d and 3609/90 - 3*(-2)/(-60)?
40
Let n(f) = f**3 - 44*f**2 + 115*f + 985. What is the lowest common multiple of n(41) and 2190?
6570
Let j = -228/187 + -7682/5049. What is the common denominator of -137/1176 and 