).
24
Let g = 122 + -14. Let n = -345095 + 345122. Calculate the least common multiple of n and g.
108
Calculate the common denominator of (-18)/(-45) - ((-21494)/760)/11 - 3 and -33/235.
17860
Let r = -2608299 + 19118831711/7330. Calculate the common denominator of -27/8 and r.
29320
What is the common denominator of 3503/1197 - (-13 - -22)/3 and 61/342?
2394
Suppose -5284 = -854*o + 6672. Suppose 1071 + 433 = 4*s. What is the lowest common multiple of s and o?
2632
Let r = -1/453 + -19475/1812. Let v = 1326479/5216692 - -5/30868. Calculate the common denominator of v and r.
676
Let p = -144317/36656 - 1/2291. Let j = -21703/6 + 3641. What is the common denominator of j and p?
48
Let m = -9 - -4. Let n(a) = a + 6. Suppose -13*g + 12 = -9*g. What is the least common multiple of n(m) and g?
3
Suppose 5*v - 143 = -138. Calculate the smallest common multiple of 4 and 38 + 1 - 4 - (2 + v).
32
Let i = -12 - -26. Let w be (-93)/(3 + (-5 - -1)). Suppose -96*y = -w*y - 12. Calculate the smallest common multiple of y and i.
28
Let c(o) = -28 + 16*o - 26 + 35*o - 9. What is the lowest common multiple of c(3) and 36?
180
Let o = 1874 - 1322. Calculate the least common multiple of o and 56.
3864
Let a = -928371/866 - -1072. What is the common denominator of a and 83/8?
3464
Suppose 3*m - 687 = 5*p, -3*p + 6*m - 7*m - 401 = 0. What is the lowest common multiple of 28 and (-12)/(-54) - 6*400/p?
252
Let j be ((-187)/(-69) - 0) + -18 + 15. Let p = j - 1/23. Calculate the common denominator of 59/90 and p.
90
Let h = 132982/328689 - 7/11142. Find the common denominator of h and -41/1416.
1416
Let d = 13271/20 + -3333/5. Let m = -907 + 31751/35. What is the common denominator of d and m?
140
Let c(j) = 11*j - 80. Let t(w) = 16*w - 120. Let o(s) = 8*c(s) - 5*t(s). Let q be o(14). Let a = 88 - q. What is the smallest common multiple of a and 14?
112
Let p = -3402 - -4123. What is the lowest common multiple of p and 1030?
7210
Suppose 3*p + 7 = -4*o, 0 = 5*o + 3*p + 10 - 5. Suppose -o*b = -6 - 30. What is the least common multiple of b and 92/12 + (-3)/(-9)?
72
What is the common denominator of -25/234 and 2270/572 + -41 + 37?
2574
What is the least common multiple of 10567 + -18 + 6*4/24 and 4?
21100
Let j = -517217/13 + 39731. Let n = j - -55. Calculate the common denominator of 2/5 and n.
65
Let z = -1054749/39802 + -2/19901. What is the common denominator of 61/268 and z?
268
What is the common denominator of ((-2)/32)/((-7)/(-13)) and (-40)/(-108) + (-4)/(-54) + (-3031)/252?
336
Let u = 2/1205 - 70133/1205. Let n = 788/15 + u. Calculate the common denominator of n and (-15)/3 - 847/110 - -1.
30
Let l = 290020 + -193178. Let w = l + -6391711/66. Calculate the common denominator of w and (-4)/20 - 259/30.
66
Suppose -1 = -i + 1, -5*y + 4*i = 928. Let t(b) = -b**3 + 12*b**2 - 10*b + 16. Calculate the smallest common multiple of t(11) and y/230 - (-19)/5.
27
Suppose -5*g + 5*w = -425, -136 = -4*g + 2*w + 202. Calculate the smallest common multiple of g and 675.
18900
Let c(u) = -19*u - 23. Let p be c(-13). Suppose -111 - 57 = -3*j + r, -4*j = -4*r - p. Calculate the smallest common multiple of j and 2.
56
Calculate the smallest common multiple of (-822)/(-30) + -1 + 2/(10/3) and 93.
837
Let q be 1538/(-10) + -2 + (-81)/(-45). Find the common denominator of -85/16 and 335/q - 4/28.
176
Let b = 20633 - 8732. Let f = b + -356951/30. Calculate the common denominator of f and 58/45.
90
Suppose 4*u - 4*z = 84, 0*u - u + 17 = 3*z. Let x = u - 39/2. Calculate the common denominator of (-4)/10 + (-1113)/280 and x.
8
Let x be (-2464301)/430122 - (-13 - -8). Let h = 2/1617 + x. What is the common denominator of -13/27 and h?
1026
Let h be 50650/(-140)*8/(-84). Let o = -100/3 + h. Find the common denominator of -97/56 and o.
392
Let y = 45/17 - 21/85. What is the common denominator of 62/(-6) + 11 + 1/24*149 and y?
40
Suppose 0 = 3*n + 15, -4*n + 0*n + 515 = 5*w. Let o = -270 - w. What is the common denominator of o/(-45) + 18/(-30) and 33?
9
Let u = 33 - 17. Suppose 5*t - 925 = 3*n, 0 = -t + 1 - 5. What is the smallest common multiple of u and ((n/(-20))/7 + -3)*-120?
720
Suppose -b + 3356 = 4*w, 9*b - 4*b - 4210 = -5*w. Calculate the smallest common multiple of w/11 + (20/(-55))/2 and 5.
380
Let v(b) = -134*b + 63. Let u be v(-3). Find the common denominator of (-5)/25 + u/(-200) and (-34)/(-32) - 0/(-2).
80
Let u = -5747 - -57411/10. Let d = 532 + -23409/44. Calculate the common denominator of u and d.
220
Let r(j) = j**2 - 33*j + 62. Let z be r(31). What is the least common multiple of 12 and 25 + 1/(z + (-2)/2)?
24
Suppose -20*h - 53*h + 21024 = 0. Let w = 687301/30 + -22915. Calculate the common denominator of w and 691/(-210) - (-6 - h/(-45)).
210
Let t = 82/401 - 23513/3208. Suppose -2*u + 0*u + 134 = 0. What is the common denominator of (u/(-3))/((-16)/6) and t?
8
What is the common denominator of (-8393)/(-327)*(-9)/28740 and -46/5?
9580
Suppose -53 = 4*k - 13. Let c be 113/k*(-127)/(-2053). Let r = 2/2053 - c. Calculate the common denominator of r and -10/7.
70
Let k(u) = 2*u - 19. Let c be k(11). Let x be (2 - -2)*(-2 + c). Suppose x*v - 3*o = 35, 2*o + 2 = -0. Calculate the smallest common multiple of 18 and v.
72
Calculate the least common multiple of (-508)/(-18) - 100/450 and 14.
28
Find the common denominator of 179/900 and ((-198)/(-2673))/((-3)/((-333)/(-12))).
2700
Let g = -860 - -452. Let d = g + 96. Find the common denominator of -7 and d/252 + (-3)/(-1).
21
Let c = 8702 + -8418. What is the least common multiple of c and 781?
3124
Let u be (-3)/(-82)*(-120)/(-495). Let o = 29299/1804 + u. Find the common denominator of 128/(-30) + (-2)/5 and o.
12
Let o = 130 + -126. Calculate the lowest common multiple of (-2 + 24)/((-5 + 9)/o) and 210.
2310
Suppose 5*s - 80 = s. Suppose 435 = -8*c + 627. What is the lowest common multiple of c and s?
120
Let r = -5617/16264 - -19/214. What is the common denominator of r and -9/64?
1216
Suppose 5*q - 248 = -28. Let m = -125 + 128. Suppose -m*x + 50 = r, 0 = -x + 3*x - r - 40. Calculate the least common multiple of q and x.
396
Let y(d) = -31*d - 407. Calculate the least common multiple of 96 and y(-17).
480
Suppose -4*l + 12 = -3*s, -3*l + 3*s = -864 + 855. Suppose 2 + 6 = n. Suppose -n = -2*i + 8. Calculate the lowest common multiple of i and l.
24
Suppose 622*i - 1256*i + 4071 = -611*i. What is the smallest common multiple of i and (12/(-20))/((-1)/5)?
177
Let c = -14725 + 44599/3. Let g = c + -575/4. What is the common denominator of g and 1 + 91*1/6?
12
Suppose 88969 = 257*y - 60862. Calculate the lowest common multiple of y and 583.
583
Suppose -j = m + 3, j - 5 + 1 = 0. Let u be -2 - (4 + 1455/m). Let k = -397/2 + u. Find the common denominator of k and -23/164.
1148
Let j(l) be the second derivative of -l**3/6 + 8*l**2 + 16*l. Let w be j(15). Calculate the common denominator of -131/12 and (w - (-3)/3) + (-406)/100.
300
Let y(a) = 30*a - 3021. Let o = 48 - 3. Calculate the smallest common multiple of o and y(101).
45
Let z(c) = -2*c**3 - 20*c**2 - 14*c + 57. Suppose -6*m = -m - 20. Suppose m*i + 30 = 6*i. Calculate the least common multiple of i and z(-9).
105
Let q(j) = -j**3 - 30*j**2 + 88*j + 2697. What is the least common multiple of q(-33) and 450?
15300
Suppose 3 = 5*o - 27. Let y(v) = -4*v - 100. Suppose 0 = 4*a + 3*z - 6*z + 107, 5*z + 125 = -5*a. What is the least common multiple of o and y(a)?
12
Suppose -102*f + 366622 = -78*f + 239*f. Calculate the least common multiple of 187 and f.
15334
Let z = -130237/18 + 7243. Calculate the common denominator of 25/8272 and z.
74448
Let x = 274 - 238. What is the lowest common multiple of 9/(x/32) + (-2)/(-1) and 618?
3090
Let r = 19 + -19. Suppose 4*u - g + 55 = 384, -5*u - 2*g + 421 = r. Suppose u = 5*j - 4*x, 3*j + 2*x - 15 = 26. What is the lowest common multiple of j and 3?
15
Let y be -1*8/52 - 4/(-26). Let z be y + (-15)/56*-4. Let q = -40/21 + z. What is the common denominator of q and 125/54?
54
Let f be ((-20)/6)/(10/(-75)). Suppose 5*v = -5*d + 4*v + 25, -5*d + f = -4*v. Suppose d*n - 64 = 31. Calculate the smallest common multiple of 2 and n.
38
Calculate the common denominator of 25/5040*(27/6)/3 and 51/112.
672
Let v(a) = 46*a**3 + 2*a**2 + 