
Let n = -193 + 192. Calculate the least common multiple of 40 and (n/(-2)*9)/(51/408).
360
Suppose 91760 = 7*q - 2*q - 5*i, 0 = 5*q - 2*i - 91760. Suppose -k + 17*k = -q. Let y = k + 65443/57. Calculate the common denominator of 79/15 and y.
285
Let a = 15026 + -13234. What is the smallest common multiple of a and 2304?
16128
What is the common denominator of 21/10 and ((-14730)/(-3681) + -4)/((-12)/909)?
4090
What is the common denominator of 67/54 and (-38)/(-285)*240/57?
1026
Suppose 0 = -3*w + 2*v + 15, 0 = -4*w + 5*w - 3*v + 2. Let t = 203 + -1431/7. What is the common denominator of t and w/(-2)*((-7)/(-1) + 0)?
14
Let i = 2431 - 2291. Calculate the smallest common multiple of 7 and i.
140
Find the common denominator of (21545/(-3570))/(-31) + (-4)/(-14) and 3/1*(-3)/48*11.
816
Let i = 2226017038131/4816 + -462212846. Let s = 239/113 + -78945/34013. Let o = i + s. Find the common denominator of o and -13/22.
176
Let g = -2/3393 + 82565/3393. Find the common denominator of g and ((45/(-330))/(-1))/((-54)/256 - 0).
99
Suppose -7*a = -21*a + 318 - 220. Suppose -10 = -2*v - 0. Suppose 25 = -v*g, 1 = -4*j - g - 0. What is the smallest common multiple of j and a?
7
Let k(v) = v**2 + 5. Let y(b) be the first derivative of 3*b**2/2 - 12*b - 2. Calculate the smallest common multiple of y(8) and k(5).
60
Let j = -21 - -23. Suppose -8 = 5*g + j. What is the common denominator of -23/2 and 285/12*g*1?
2
Let d(n) = -14*n + 1009. Calculate the least common multiple of d(62) and 216.
10152
Suppose 5*n - x = 57, -29*n + 34*n = 5*x + 25. What is the least common multiple of n and 624?
624
Suppose -5*t + 140 = 9*t. Calculate the least common multiple of t and 689.
6890
Let p(y) = 9*y - 22. Let m be p(12). Suppose 37*a + 12 - m = 0. What is the lowest common multiple of 40 and a?
40
Let j(b) = -b**2 - 7*b + 9. Let p be j(-4). Let o(c) = -c**3 + 21*c**2 + c - 13. Let f = 26 + -16. What is the least common multiple of f and o(p)?
40
Let b(d) = -d**3 + 29*d**2 + 87*d - 8. Let p be b(32). Find the common denominator of ((-1)/(-5))/(p/20 + 13) and 25/49.
441
Suppose 6*d - 4*d - 1148 = 2*p, -5 = -p. Let j(c) = -c - 3. Let b be j(-7). What is the common denominator of (b - 0) + d/(-36) and -13/27?
108
Let m be ((-6807)/306)/(-1) + -3. Let n = m - -27/17. Find the common denominator of ((-20)/6 - -3)*(-1448)/80 and n.
30
Suppose -2*y - 50 = -2*n, -30 = -4*n - 3*y + 21. Calculate the least common multiple of 774 and n.
774
Suppose 4*n = 5*r - 4, -4*r - r - n + 24 = 0. Let i(v) = 559*v + 49. Let j be i(r). Let l = 9075/4 - j. Calculate the common denominator of l and 103/28.
28
Suppose -438*h + 2341333 - 100832 = 211685. Calculate the lowest common multiple of 2 and h.
4632
What is the common denominator of (6/(25920/(-16456)) - -4) + 2/(-4) and -137/198?
5940
Let k = 4/71 + -823/13348. What is the common denominator of k and 944/(-192) - 56/(-48)?
188
Suppose 4*t - 2*f - 2594 = 0, 2*f + 1566 = 5*t - 1675. Calculate the smallest common multiple of t and 5.
3235
Suppose -18*v = -13*v + 400. Let a = 81 + v. Calculate the common denominator of -82/33 and a + -4 + 6 + 3/(-36).
132
Let u = -4118329/72 - -57197. What is the common denominator of 37/180 and u?
360
What is the smallest common multiple of 10 and 7776/18 + 6 + 12?
450
Let g be (-846)/31548*-6 + 4/(-22). Let y be (-1 + 0/3)/(30114/49386). Let c = y - g. Find the common denominator of c and 36/5.
105
Suppose 4*c - 18 = -a, -58 = -a - a + 3*c. Calculate the least common multiple of 182 and a.
182
Let a(r) = -5147*r - 97748. What is the least common multiple of (98 - (-1 + 2)) + -2 and a(-19)?
855
What is the smallest common multiple of 72 and (-1800)/(-14)*1218/261?
1800
Let v(u) = -u**2 - 6*u + 14. Let x be v(-23). Let d = x - -388. Let q = -4 + 11. Calculate the least common multiple of q and d.
77
Suppose 4*s - 26 = 34. Let m = -149 - -194. What is the lowest common multiple of m and s?
45
Let h = -74/1577 + 4811/44156. What is the common denominator of -51/133 and h?
532
Let z = 68 - 481/7. What is the common denominator of (-4)/(-46) - (-35594)/1702 and z?
7
Let m = 20 - 20. Suppose -120 = -7*b + 4*b. Suppose m*x - 3*i + 82 = -2*x, x = i - b. Find the common denominator of -101/6 and x.
6
What is the common denominator of 1/800 and (280/2640)/((-3)/45)?
8800
Let o be 350/110 - 4/22. Suppose 3*v = -0*v + 4*y - o, 5*v + 2*y + 31 = 0. Calculate the common denominator of 131/24 and (13/v)/((-5)/(1650/108)).
72
Let z = -71 + 155. What is the common denominator of 107/30 and 4/(64/30) + (-21)/z?
120
Suppose -99 = -5*w + 321. Suppose -179 = 6*m - 503. What is the lowest common multiple of w and m?
756
Let w = 703/64 + 9/64. Let d = -43107/7 + 6153. Find the common denominator of w and d.
56
What is the smallest common multiple of ((7 - 8) + 7)/((-12)/(-880)) and 1640?
18040
Let d = -7912 - -47357/6. Calculate the common denominator of d and 5 + 14/(-4) - -1.
6
Suppose 3*h + 2*o - 4846 = o, 3227 = 2*h - 3*o. Let g = -24041/6 - -3994. Find the common denominator of g and h/(-238) + 8/1.
42
Let g = -1/3851 + -250247/261868. What is the common denominator of 57/238 and g?
476
Calculate the common denominator of ((-256)/16752)/((-26)/39) and (1800/112)/(6/(-7)).
1396
Let v = -19522701/184 + 106102. Calculate the common denominator of v and 59/368.
368
Let k be 3/7 + (-225)/35. What is the lowest common multiple of (k + -3)/(-1) - (4 - 2) and 5?
35
Suppose 662 = 15*m - 613. Suppose m = -4*j + 1217. What is the lowest common multiple of 11 and j?
3113
Let r(w) = -w**3 - 9*w**2 + 6*w + 140. What is the least common multiple of 640 and r(-9)?
27520
Suppose 0 = 19*g - 47*g - 62*g + 2610. What is the lowest common multiple of 232 and g?
232
Find the common denominator of 2*(32/12 - (-1 + 8)) and 1 - (460/78 + -3).
39
Calculate the least common multiple of (282/(-5))/(1479/170 - 9) and 16.
752
Let c(m) = -66*m + 2769. Calculate the least common multiple of c(41) and 2.
126
Let u be (-2)/(-6) + 152/57. Suppose 0*q - 2*g + 24 = u*q, 0 = q + 5*g + 5. Suppose 4*c = q*c - 12. Calculate the lowest common multiple of 16 and c.
16
Let f be 23 + -28 - (-163)/(-1). Find the common denominator of -5/12 and 12*(-11)/33 + (-683)/f.
168
Let v = 30234005 + -23703463907/784. Let x = -93/49 - v. Calculate the common denominator of (2/5)/((-8)/(-770)) and x.
16
What is the common denominator of (42/(-84)*(-536)/(-30))/((-10)/25) and -127/4266?
4266
Let j be 0 - (-35)/3 - (-12)/(-18). Suppose q = -j + 20. Suppose q = 3*k - 21. Calculate the least common multiple of 6 and k.
30
Suppose 3*i - 106 + 37 = 0. Let l = i - 31. What is the common denominator of (-127)/36 - (-2)/l*-1 and 89/24?
72
Find the common denominator of 435/(-174)*91/1435 and (-2)/(-4) + 142/18.
738
Let r = -63031/14 - -4496. Find the common denominator of (77/4 - (111/12 + -9))/60 and r.
420
Let w = -170 - -276. Suppose 3*q + 3*s - 222 = 0, -2*s = -2*q - s + 133. Suppose q*l = 70*l - 4. Calculate the least common multiple of l and w.
212
Suppose 2*s = -4*c + 284, -3*c = -3 - 3. What is the smallest common multiple of (4 - (5 + -4))/((-6)/(-4)) and s?
138
Let l = 19 - 20. Let j be (l + 11)/((-2)/(-8)). What is the common denominator of (j/(-12) - -1)*(-4)/(-6) and -36/11?
99
Find the common denominator of 12/(-21) + (-667)/(-3654) and (-3830)/(-100) - (-2)/10.
18
Let j(z) = z**2 - 7*z + 11. Let m be j(6). Let w be m/(-3) + (-44)/(-3). Calculate the lowest common multiple of 41/4 - w/52 and 2.
10
Calculate the common denominator of -30 and (-55 + 61 - 226965/18927) + 6.
6309
Let p(w) = 11*w - 205. Let a be p(19). Suppose a*f - 268 = -5*d, 348 = 5*f + 3*d - 0*d. What is the least common multiple of f and 56?
504
Let i = -118 - -123. Find the common denominator of i + 0 + (-152)/(-20) and -73/10.
10
Let v = 1025/4 + -5343/20. Calculate the common denominator of v and -8/465.
930
Suppose -2*u - 19 = -n, -4*u + 17 = n + 70. Calculate the lowest common multiple of u*(3 - 62/4) and 42/12 + 1/2.
300
Let c(u) = 12*u**2 - u. Let w be c(1). Suppose -3*n + w = 2*m, -10*m + 4 = -6*m. Calculate the least common multiple of n and 117.
117
Let w = -8751 - -7175821/820. Calculate the common denominator of 13/20 and w.
820
Let i = -50 + 97/2. What is the common denominator of i and ((-2)/5)