2
Suppose -2*r + 5*m + 299 = 0, 0 = -1092*r + 1088*r - 4*m + 584. Calculate the smallest common multiple of r and 1078.
3234
Suppose 5*k = -3*x + 227, 0 = 4*x + 3*k - 2*k - 331. Let v = x + -16. Suppose 4*t - 105 = -11*t. What is the smallest common multiple of t and v?
476
Let h = 21/13 - 612/65. Let w be (-2 + 19/9)*-33857. Let f = w - -3769. Find the common denominator of f and h.
45
Let c be (-94)/(-235) - 18/(-5). What is the common denominator of 27/(-252)*c - (-131)/28 and ((-3)/(-8))/(24/356)?
16
Let u = -112037 - -896359/8. Let d be (4 + -1)/(20409/4). Let b = 659707/312938 + d. Find the common denominator of u and b.
184
Suppose -2*a + 7*a = 30. Let q = a - 4. Suppose 490*m = 178*m + 3120. What is the smallest common multiple of m and q?
10
Suppose 3*s - 35 = -2*s. Suppose -3*f + 26 = i - 2*f, -4*f + 81 = 3*i. Suppose 5*l - i = 27. Calculate the smallest common multiple of s and l.
70
Let x = 939 + -669. Let k = 463 + -454. What is the smallest common multiple of k and x?
270
Suppose -2*u + 7*h + 18 = 5*h, 5*u = -5*h + 75. What is the lowest common multiple of 168 and u?
168
Let h = -357 + 365. Let w(f) = 2*f - 11. What is the smallest common multiple of 12 and w(h)?
60
Suppose 4*s = 4*z, z = -2*s + 8 - 2. Let r be s - 11/6 - (-885)/(-18). Let y = r + 51. Calculate the lowest common multiple of y and 10.
10
Let c(i) = -i**2 + i + 16. Suppose -6*d + 13 + 5 = 0. Suppose -3*j = -j - 3*s - 40, 40 = 2*j + d*s. What is the lowest common multiple of c(0) and j?
80
Suppose 5*c - 76 = -n, -n = -4*c - 85 - 18. Suppose 0*u = 14*u - 882. Calculate the lowest common multiple of u and n.
819
Let i = -3800 - -3805. Calculate the least common multiple of i and 5844.
29220
Suppose 2*z - 420 = 2*x, x - 10 = -4*z + 800. Calculate the lowest common multiple of z and 340.
1020
Let l = 163 + -153. What is the common denominator of -29/19 and 8/l - (-19)/(3990/(-468))?
133
Let c = 221/12 + -155/4. Find the common denominator of c and 9/(-45) - (-183)/(-10).
6
Suppose 0 = 45*d + 29660 + 253300. Let h = -1 + 15. What is the lowest common multiple of h and d/(-312) - (-6)/(-39)?
140
Let v be 55 + (-3 - -8) - 2. Let f = v + -53. Suppose -10*t = -f - 15. Calculate the least common multiple of t and 6.
6
Suppose -5*y = -5*v + 70, 5*v - v - 31 = -y. Calculate the common denominator of 85/14 and (-1944)/2079*(-3)/v.
154
Let k(z) = 69*z - 1902. Calculate the lowest common multiple of 525 and k(58).
2100
Suppose -4*t - 23 = -11, 3*t = 5*q - 1374. Let c = 24019/21 - 1144. What is the common denominator of 2 + (2*-2 - q/(-99)) and c?
231
Let p be (18 - 17) + (-400)/442. Let k = 8545/1547 - p. What is the common denominator of k and -41/5?
35
What is the common denominator of ((-42)/1330)/(-1)*(-29005)/(-152) - 6 and 43/20?
14440
Suppose -253 = -7*x - 183. Suppose 221 = x*s - 59. Calculate the least common multiple of s and 18.
252
Let z be (2/3)/((-12)/(-72)) - 2. Suppose -4*p = -z*r - r - 2, p + 6 = 4*r. Calculate the smallest common multiple of r and 6.
6
Let l = -7189 + 7379. What is the lowest common multiple of l and 114?
570
Let q = 588290 + -867727799/1475. What is the common denominator of q and 57/2360?
11800
Let b = 68 - 43. Let f = b + -19. Calculate the smallest common multiple of 7 and f.
42
Let t(m) = -3*m**2 - 41*m + 68. Let v be t(-15). Calculate the lowest common multiple of v/(-2) + 416/52 and 14.
28
What is the common denominator of -117/1078 and -2 + (5003/2156 - 3/33)?
2156
Suppose -4*d + 5*p + 1725 = 0, -5*p - 2165 = 65*d - 70*d. What is the smallest common multiple of 5 and d?
440
Calculate the common denominator of 73/7200 and (-2775)/125*(-5)/30.
7200
Let f = 35690 + -33128. Calculate the least common multiple of f and 1647.
23058
Let h(c) = 2*c**2 + 18*c + 46. Let q be h(-3). Let i = 7 - -1. Suppose o + i = q. What is the least common multiple of 60 and o?
60
Suppose -b = 2*f - 561, -3*b - 3*f + 2411 = 740. Calculate the lowest common multiple of 316 and b.
2212
Let f = 565615/111 + -5095. Calculate the common denominator of f and -109/222.
222
Let l(g) = 25*g**2 + 8*g + 21. Let v be l(-4). Let u = -368 + v. Calculate the least common multiple of u and 6.
42
Let c(l) = -160*l - 7984. Calculate the lowest common multiple of c(-52) and 10.
1680
Let s = -3/27563 - 2011991/992268. What is the common denominator of (-12)/(-20) + 1347/180 and s?
36
Suppose -32*q + 2891 = -1685. Let y = 215 - q. What is the lowest common multiple of 11 and y?
792
Let j be (-16)/(-24) + 7392/9. Suppose 0 = 13*s + 302 - j. What is the smallest common multiple of s and 20?
40
Suppose 0 = 4*k + 3*t - 658, -4*t - 76 = -2*k + 220. Calculate the least common multiple of k and 48.
480
Suppose 4*f = -3*k + k - 2, 0 = 2*f + 5*k - 11. Let d be f - (-1 + 2) - 0. Let x = d + 13. Find the common denominator of -55/8 and x.
8
Let a = -36498 + 912437/25. Find the common denominator of a and 3/9*234/(-555).
925
Suppose 4*m + 120 = 4*y, y + 5*m = m + 55. Suppose y = -3*k + 10*k. Suppose -2 = -k*b + 58. What is the least common multiple of 22 and b?
132
Calculate the least common multiple of 532 and (483 - 511)/(-1 + 0 + 0).
532
Suppose 4*i - 20 = 2*i. Let s(a) = -2*a**3 - 4*a**2 + 2*a. Suppose -5*r = 10 + 5. Calculate the least common multiple of i and s(r).
60
Suppose 2*x - 125 = -2*z - 51, 71 = 2*z - x. Let s(g) = 8*g - 55. Suppose 0 = -4*j + j + 33. Calculate the smallest common multiple of z and s(j).
396
Let d = -7802/229 + 24696291/724556. Calculate the common denominator of d and 93/4.
3164
Suppose -3*z - 141 = 5*o - 56, -2*o + 78 = -2*z. Calculate the common denominator of z and -6*((-225)/22 + 10)*4/6.
11
Suppose -16*o - 375 = -31*o. What is the common denominator of -27/8 and (-10)/o + (-377)/(-80)?
16
Suppose 0 = -3*u + 14 + 16. Let l = -7 + u. Calculate the least common multiple of -5 + ((-14)/(-7) + (-14)/6)*-30 and l.
15
Let m(f) = f**2 - 117*f + 2112. Suppose -2*a + 24 = a. What is the smallest common multiple of a and m(98)?
1000
Let a = 187940 + -331714137/1765. Calculate the common denominator of a and 54/11.
19415
Let i = -11/2 - -8. Suppose 6 = 4*j + 14, 14 = 4*r - 3*j. Find the common denominator of i and (-1)/(-25) + (4 - r).
50
Suppose 0 = 4*r + 3*h - 2, 5*h = -0*h + 10. What is the common denominator of r/((24/(-46))/((-7)/(-21))) and 49/92?
828
Let f(z) be the first derivative of z**4/4 - z**2 + 45*z - 15. Let a be f(0). Suppose -a + 53 = 2*s. What is the smallest common multiple of s and 18?
36
Let b(d) = 3*d**3 + 4*d**2 - 3*d - 4. Let t be b(-2). Find the common denominator of -71/18 and 5/160*-4 + t.
72
Find the common denominator of (-1855)/304 + (12 + 6 - (-1 - -13)) and 24/5.
1520
Let x = -28413 - -22247327/783. What is the common denominator of x and 40/3?
783
Suppose -2454 = 2*d - 3*w + 1455, 3*d - 2*w = -5861. Let a = 48832/25 + d. Find the common denominator of 2/11 and a.
275
Let l be (-5)/(-25) + 16/(-5). What is the common denominator of -86/45 and 18/(-135) + l/(1080/393)?
360
Suppose 39 = 5*n - 2*s - 479, 0 = -3*s - 12. Let d = 1640 + -1538. What is the least common multiple of d and n?
102
Let r = -93/260 + -4349/780. Suppose w - 4*f = -32, 5*w - 7*w = -f + 71. Find the common denominator of r and (-302)/w*(-9)/(-180)*-12.
30
Let d = 3152 - 3146. What is the least common multiple of 1430 and d?
4290
Let c(v) = -v**3 + 7*v**2 + 9*v - 5. Let k be 4 - (5 + 1) - -10. Calculate the smallest common multiple of 7 and c(k).
21
Suppose -11008 = -73*i + 30*i. Suppose -154*l + 155*l - 2 = 0. Calculate the least common multiple of l and i.
256
Suppose -18*p + 185 + 895 = 0. Calculate the lowest common multiple of p and 22.
660
Let t = -48432 + 40682681/840. What is the common denominator of -89/140 and t?
840
Suppose 0 = -102*r + 107 + 505. Calculate the smallest common multiple of 80 and r.
240
Let k be (1187/4)/((-10)/(-70)). Let h = k - 10409/5. What is the common denominator of 0 - ((-113)/22 - -3) and h?
220
Suppose -193*q + 414*q = 200*q + 59157. Calculate the lowest common multiple of 4695 and q.
14085
Let l be (3 - 0)/(230/240*-14). Let a = -7349/2415 + l. Find the common denominator of a and 109/6.
30
Let v = 152 - 158. Calculate the common denominator of 43/45 and (1/v)/(91/988).
315
Suppose 5*v = -5*w - 8440, 5*w = 2*v + 2*w + 3396. Let u 