5
Let z(q) = 14*q + 45. Suppose -5 = -5*m + 3*m + 5*a, 3*m - 4 = 4*a. What is the least common multiple of 24 and z(m)?
360
Calculate the common denominator of 9/(12528/840) - (0 - (-1)/(-1)) and -65/8.
232
Suppose z = -22*z - 138. What is the smallest common multiple of 10 and (10/z)/(31/(-186))?
10
Suppose 0 = -l + 131 + 45. Calculate the lowest common multiple of -4 - (-88)/20 - l/(-10) and 2.
18
Let c be (-7)/((-441)/5593) + (-2)/(-9). Suppose -5*a + 140 = 5*m, -5*a = -4*m - c - 24. Calculate the least common multiple of a and 8.
200
Let w = -34696 - -6071841/175. Calculate the common denominator of -37/25 and w.
175
Calculate the common denominator of 45/2579 and ((-1305)/(-264) - 3) + -17 + 945/55.
20632
Let s(j) = -56*j + 325. What is the least common multiple of 27 and s(-13)?
1053
Find the common denominator of ((-98)/(-16))/(24/(-32))*(-60)/20895 and -20/3.
597
Let s be 6 + 15/(-5) - 0. Suppose -s*z - 12 = -4*z. Calculate the least common multiple of z and 48.
48
Let z = -1166847 + 810118. Let c be 3/(-15) + z/88830. Let o = 2/1269 + c. Find the common denominator of 89/20 and o.
140
Let g = 19143149/264120 + -13475/186. What is the common denominator of g and 4/2485?
19880
Let s be 2638/(-20)*1/(-78). Let v = s - 47/15. What is the common denominator of 171*(1083/90 - 12) and v?
260
Let f = -5/2686 + 57100/12087. What is the common denominator of f and 23/336?
1008
Let v = 4509 - 4504. Calculate the lowest common multiple of 1102 and v.
5510
Suppose 2*s + 2*s = 4. Let o(i) = 8*i**2 - 3*i + 3. Let f be o(s). Suppose -9*z + 21 = -f*z. What is the lowest common multiple of z and 27?
189
Find the common denominator of ((-646)/660 + 42/315)/(204/10) and 57/473.
32164
Let u = -26 - -22. Let k(x) = -x**3 - 5*x**2 - 2*x - 3. Let c be k(u). Let h = c + 13. Calculate the smallest common multiple of 4 and h.
4
Let v = 83257317/280 - 297348. What is the common denominator of v and -29/10?
280
Let n = 54831 + -1480402/27. What is the common denominator of n and 1/1 + 404/(-24)?
54
Let x(q) = 10*q**3 + 3*q**2 + 6*q - 33. What is the smallest common multiple of x(3) and 517?
3102
Suppose 4 = -j + 7. What is the lowest common multiple of (j - 7/14)/((-2)/(-104)) and 40?
520
Suppose 6*z - 20 - 724 = 0. Let p = -119 + z. Find the common denominator of 68/(-12)*p/(-25) and -64/45.
45
Let i = -1410 + 1434. Calculate the common denominator of 31/6 - (-2)/(-3) and 40*(-66 + 67 + (-10)/i).
6
Let q = -36 + 42. Suppose 4*b + 12 = q*b. What is the common denominator of 57/28 and (-205)/(-70) - b/4?
28
Suppose -j + 196931 = -5*m, -2*m + 273992 + 710528 = 5*j. Let p = j - 1192519/6. Let t = -1840 - p. Find the common denominator of -145/18 and t.
18
Suppose -4*t - 49 = 6*p - p, -3*p = 15. Calculate the common denominator of (-27684)/1512 - 1/(-7) and ((-4)/(-12))/(t/(-531)).
6
Let o(d) be the second derivative of 6*d**3 - 7*d**2 - 3*d. What is the lowest common multiple of 91 and o(4)?
910
Let r(t) = 6*t - 66. Calculate the least common multiple of r(26) and 477.
4770
Suppose 6*g - 160 - 56 = 0. Let j = 36 - g. Suppose -3*l + 4*l - 24 = j. What is the smallest common multiple of l and 14?
168
What is the common denominator of (2/(-18)*417)/6 and 40/537?
3222
Calculate the common denominator of (5 + (-8876)/1600)/((-12)/(-135)) - -6 and -5/24.
960
Suppose 20*m = 17*m + 18. What is the common denominator of ((m/(-8))/((-24)/(-1136)))/28 and -169/42?
168
Let f be (-12034)/9918 - 9/(486/12). Let n = -63/29 - f. Suppose -3*h = h + 96. Calculate the common denominator of n and h.
19
Let l = 10 + 25. Let i = 1178 - 1173. Calculate the least common multiple of i and l.
35
Find the common denominator of 47/54 and ((-6636)/1400)/((-9)/(-5)).
270
Suppose -4*n + f - 84 = 0, -9*n + 5*f - 120 = -4*n. What is the common denominator of 21*(-4)/6 - -1 and ((-170)/(-40))/(2/n)?
2
Let x(r) = r + 28. Let j be x(-27). Find the common denominator of 61/14 and 15/20 - (j + (-237)/(-36)).
42
Suppose -4 = 8*v - 28. Suppose 20 = y - a - 62, -v*a = -4*y + 324. What is the least common multiple of y and 24?
312
Let c(u) = u**2 + 2*u - 10. Let w be c(4). Suppose -4*b = -z + 2, 0*b - 4*b - w = -3*z. What is the smallest common multiple of z and 122?
366
Suppose 5*x = -3*d + 2*x - 66, -4*d - 63 = -x. Calculate the common denominator of 102/d + (-206)/(-44) and -101/1034.
1034
Let t = 4438 + 5850. Let g = t - 463028/45. Calculate the common denominator of g and -139/6.
90
Let v = 27783/8 + -3485. Let l = 17195 - 1702333/99. Find the common denominator of l and v.
792
Suppose 0 = 60*t - 143491 - 60029. What is the smallest common multiple of t and 12?
10176
What is the common denominator of -43/896 and (-2555)/3136 + 6/7?
896
What is the lowest common multiple of 3300 and (670/(-90) - -7)*-90?
6600
Let x = 3/11642 + 215245/512248. What is the common denominator of x and 5/1496?
1496
Suppose 0 = -19*b + 21*b + p - 18, 3*p = -3*b + 24. Calculate the least common multiple of 1734 and b.
8670
Calculate the lowest common multiple of 2604 and (-48)/5*(38 - 5344/128).
7812
Let m = -14737 - -59047/4. What is the common denominator of 9/164 and m?
164
Suppose 137 = 64*a - 4293 - 26610. What is the lowest common multiple of 20 and a?
1940
Let y be (-4)/6 - (-8076)/18. What is the common denominator of ((-360)/y)/((-2)/(-4)) and 2/49?
196
Let u = 57 - 41. Let l = 128 - 75. Let z = l + -15. Calculate the smallest common multiple of z and u.
304
Let r(w) = -w + 1. Let k be r(15). Let n(i) = i**2 + 15*i + 34. What is the least common multiple of 18 and n(k)?
180
Let t be (12/2)/(-11 - -15)*-4. What is the least common multiple of 20 and (40/t)/((364/966)/(-13))?
460
Let m = -24/383 - 28099/22214. Let g = 6/1547 - 6261/2810899. Let v = g - -56297/18170. What is the common denominator of v and m?
290
Let l = 15 - 15. Suppose -29*g + 28*g = l. Suppose -2*q - 9 + 45 = g. Calculate the smallest common multiple of 6 and q.
18
Suppose 0 = r - 3*u - 6, -3*r + 3*u = u - 4. Suppose 5*t = -3*g - 6, r = g - t + 2 - 8. Calculate the common denominator of -1 - 0 - (-2 - 14/g) and 41/3.
3
Suppose -10 = -5*f + 3*f. Suppose -20 = r - 4*d, -d + f = -6*d. Calculate the lowest common multiple of 27 and r/(-20)*330/12.
297
Calculate the lowest common multiple of 235 and 27/(-18) + (-624)/(-32) + 2.
940
Let i = 362681 + -137818911/380. Calculate the common denominator of i and -33/190.
380
Let t = 219884681/1386 - 158647. What is the common denominator of t and 121/70?
6930
Let m be 3/4*-8*1. Calculate the common denominator of (-206)/440 + m/10 and ((-1188)/(-40))/(19/((-152)/(-48))).
220
Let p(z) = 2*z + 4. Let c be p(-4). Calculate the common denominator of (c/8 + -2)*-7 and 569/(-570) - -2 - (-2)/(-6).
190
Let a be (3 - (-71906)/(-84)) + 1/(-7). Let k = a + 871. What is the common denominator of k and ((-354)/108)/((-4)/12)?
6
Let g = 3472 - 2752. Calculate the lowest common multiple of 40 and g.
720
Let w = 108 - 104. Let f be (w + -5)*1096/(-6). Let s = -165 + f. Find the common denominator of s and 68/21.
21
Let w(r) = r**2 - 7*r - 14. Let t be w(9). Suppose t*f = 5*f - 8. Let p = -45 + 143. What is the lowest common multiple of f and p?
392
Let p = -86675 - -37617005/434. Calculate the common denominator of p and 0 + (-581)/35 + 5.
2170
Let x(f) = 11*f - 282. Let y be x(28). Suppose -62 = -11*a + y. Calculate the least common multiple of a and 64.
64
What is the common denominator of (-1)/(-3)*(-198)/(-8) and (-15 + (-3588)/(-240))/(((-168)/45)/4)?
56
Let k = 950 + -1822. Calculate the common denominator of -15/11 and ((-2349)/k)/9 + 2/(-16).
1199
Suppose 4*v = -5*u + 6*v + 31, -23 = -3*u - v. Let g = 23 - 17. Suppose g*d = u*d - 12. Calculate the lowest common multiple of d and 3.
12
Suppose o = -3*u - 2*o, 2*u - 20 = 2*o. What is the lowest common multiple of (-56)/(-42) - (1 - u/3) and 9?
18
Let n(u) = u**3 - 8*u**2 + 8*u + 13. Let q be n(10). Let w = -4667/16 + q. Let k = -7025 - -28155/4. Find the common denominator of k and w.
16
Let g = 106603/871470 + -1/9683. Let r = 325/157 + -6469/9420. What is the common denominator of r and g?
180
What is the lowest common multiple of (-351*1)/((-2482)/340 + 7) and 195?
1170
Suppose p = 5*t - 168, -2*p = -6*p + 8. Find the common denominator of -67/20 and t/85 - 77/5.
