).
2044
Let v = 0 + 0. Suppose v = 2*n - 5*n + 12. Suppose -1 = 2*g + 5*y, n*g = -3*y + 4*y + 9. What is the lowest common multiple of g and 9?
18
Let k(u) = 6*u - 72. Let i(w) = -1. Let m(q) = -2*i(q) + k(q). Calculate the smallest common multiple of 54 and m(15).
540
What is the common denominator of -151/102 and 14/(-10064)*(-9 - (-1 + -9))*-18?
7548
Let q = -23 + 20. Let s be 218 - 0 - (6 + -4). Find the common denominator of -41/12 and (s/(-52))/(-6)*8/q.
156
Let a = 28084 + -39289497/1399. Calculate the common denominator of a and -10/3.
4197
Let d = -105 - -77. Calculate the lowest common multiple of 2 - -14 - d/(-7) and (2 + 1)/(3/20).
60
Let v be 42/(-70) + (1 - (-1004)/(-10)). Let j = 1343/10 - 134. Calculate the common denominator of (2/(-9))/((-8)/v) and j.
90
Let n = 547 - 502. Suppose -n*q + 6184 = -5066. What is the least common multiple of q and 10?
250
Let a = -83/5728 - 72257/1288800. Find the common denominator of a and 97/30.
1800
Let b = -182 + 198. Suppose -8*g - 2*z + b = -7*g, -5*g + 3*z = -80. What is the smallest common multiple of 6 and g?
48
Let o be (-15)/710*2026/21*3. Let b = 2/71 - o. Find the common denominator of b and -44/19.
133
Suppose 147*v - 148*v = 3*r - 2353, -2*r - 4*v + 1552 = 0. What is the least common multiple of 1310 and r?
3930
Suppose 8277 = 3*n - 166*d + 165*d, -4*n = -2*d - 11034. Calculate the lowest common multiple of n and 60.
2760
Let f = 423/155 + -260/93. Find the common denominator of 61/975 and f.
975
Let v = -27259 - -32759. Calculate the least common multiple of v and 4950.
49500
Calculate the common denominator of (7 + 33885/(-4840))/((-18)/(-1304)) and -163/2178.
2178
Let i = -22086 + 242925/11. Find the common denominator of i and -187/600.
6600
Let g = 226775 - 66671699/294. Find the common denominator of g and -9/140.
2940
Let g = 222 + -217. Suppose 581 = g*a - 39. Calculate the least common multiple of 2/(-8) - (-164)/16 and a.
620
Let b = -4 - -10. Let h = 33337/4 - 8337. Find the common denominator of h and (309/54)/(28/b).
84
Let b(z) = 27*z**2 + 5*z + 6. Let l(d) = 3*d**2 - d - 1. Let y be l(1). Suppose -80*o = -79*o + y. Calculate the smallest common multiple of 4 and b(o).
28
What is the least common multiple of 3565 and -8*(-496)/128 - 21?
7130
Suppose 55*q + 291720 = 315*q. What is the lowest common multiple of q and 2057?
12342
Suppose -4*m + 6 = -2, -3*i - 5*m + 94 = 0. What is the lowest common multiple of 16 + (-52)/(-169)*-13 and i?
84
Suppose 17*y = 13*y + 12. Let r = 3 - -1. Calculate the least common multiple of y*(4/6 + r) and 28.
28
Let m be 3/6*2 + 51539092/8249064. Let a = -70/21939 + m. Let k = a - -12/47. Calculate the common denominator of -131/36 and k.
36
Suppose y = -a + 165, -5*a = -2*y - a + 300. Find the common denominator of 17/14 and (-1)/(-90) + (-64)/y.
126
Suppose 0 = 2*n + 2*p - 1202, n = -31*p + 26*p + 625. What is the smallest common multiple of n and 952?
4760
Let b be -4 + 17/(51/30). Suppose 4*c + 4 = 4*g, b*g - 4*c + 32 = 8*g. Calculate the smallest common multiple of 24 and g.
24
Let f = 2448301556/96775 - 30040132869241/1212397200. Let s = 11/39150 + f. Let i = s + -522. Calculate the common denominator of i and -31/22.
176
Let o(d) = -3*d**2 - 32*d + 15. Let u be (5 + 1)*(12 - 13) + -4. Calculate the lowest common multiple of o(u) and 50.
350
Let p(l) = l**3 + 5*l**2 - 8*l - 6. Suppose w = -5*j + 76, -4*j = -2*w - 14 - 58. Calculate the least common multiple of p(-6) and j.
48
Suppose 0 = 16*u + 17*u - 26*u. Suppose u = 138*l - 135*l - 126. Calculate the smallest common multiple of l and 14.
42
Let h = -61437704 + 87855911887/1430. Let y = -57/130 + h. What is the common denominator of (7/77)/(1/48) and y?
11
Calculate the common denominator of (-22)/((-660)/(-695)) + 23 and 65/25823.
154938
Find the common denominator of (-67573)/(-17094) - (3/((-15)/(-10)) - -2) and 47/168.
6216
Calculate the least common multiple of 3 - (7 + -1*350 + -8) and 12.
708
Let f(p) = -517*p**2 + 4*p + 3. Let t be f(-1). Let c = -308 - t. Calculate the common denominator of 486/c + (5/(-7) - -1) and 59/8.
40
Let x(i) = -4*i + 13. Let t be x(7). Find the common denominator of (-3)/t - (-1595)/150 and 131/70.
210
Let i(w) be the second derivative of w**4/6 - 2*w**3/3 - 9*w**2/2 - 2*w + 59. Calculate the lowest common multiple of i(5) and 56.
168
Calculate the common denominator of 6/(-15) + (-2)/2640*-1588 and -1/30.
330
Let p = 11/14721 - 492899/9509766. Calculate the common denominator of 37/14 and p.
4522
Let z be -52*(-12 - -13) + 12. Let p be (-142)/3 + (-4)/6. Find the common denominator of 167/30 and (((-278)/(-10))/(p/z))/1.
30
Let l(u) = 5*u**2 + 87*u + 375. What is the smallest common multiple of l(-5) and 10?
130
Let t(k) = 3*k**2 + 143*k + 1659. What is the least common multiple of 1456 and t(-29)?
7280
Let u(x) = -x**3 - 16*x**2 - 34*x - 22. Suppose -24 = 22*l - 26*l. What is the smallest common multiple of u(-15) and l?
1578
Let c = 2105/317728 - -3385393433/1186714080. Let t = -7/747 + c. Find the common denominator of t and 17/(-51) + (-428)/84.
140
Suppose 24*j - 19*j + 465 = 5*f, 2*j = 5*f - 456. Calculate the least common multiple of f and 612.
3060
Suppose 0 = -5*o - 4*b + 323, -2*b - 28 = -o + 31. Let z(m) = 7*m**2 - 3*m. Calculate the smallest common multiple of o and z(3).
378
Let t be (1577/8)/((-108)/(-144)). Let z = t - 676/3. Find the common denominator of z and -29/659.
1318
Let v(o) be the third derivative of -o**6/120 - 3*o**5/20 - o**4/12 + 2*o**3/3 - 17*o**2 + 2*o. Calculate the lowest common multiple of v(-11) and 22.
2948
Let a = 12745/1158 + 31/193. What is the common denominator of -109/2154 and a?
2154
Let a = -1/69562 + -2677989/10295176. Let g = -11128/5 - -133931/60. What is the common denominator of a and g?
888
Suppose 0 = -4*z + 434 + 334. Suppose -2*m + 32 = 4*l, -59*m - 43 = -62*m - 5*l. What is the common denominator of 61/18 and 6/z*(-632)/m?
72
Suppose -3*h + 0*h - 404 = -4*m, -510 = -5*m + 5*h. Let y = 191170 - 2294119/12. Find the common denominator of m/(-132) + (-10)/(-55) and y.
132
Suppose -2*o + 1 = 4*n - 3, -9 = -2*o + n. Suppose -k + o*c + 28 = 0, -2*k - k - 3*c + 24 = 0. Calculate the least common multiple of k and 21.
84
Suppose 0 = n + 4, 2*n - 5*n = 3*q - 30. Calculate the common denominator of 280/q*(-10)/16 and (-1)/((-25)/90) - -7.
10
Let q(b) = b**3 - 37*b**2 + 115*b + 14. Calculate the smallest common multiple of 4 and q(34).
456
Let u = -55 - -60. Suppose -4*z = -u + 1. Calculate the smallest common multiple of 33 and z/((5/(-6))/(-5)).
66
Let a = 31471 - 31345. What is the lowest common multiple of a and 1704?
35784
Find the common denominator of 2/28*(-11 - -21) and -75/1696.
11872
Suppose -39*l + 37*l - 6 = 2*k, 0 = -5*l + 4*k + 48. Calculate the smallest common multiple of 2659 and l.
10636
Let j(p) = p**3 + 8*p**2 + 1. Let a be j(-7). Let y = -33 + a. Suppose -11*v + y = 6. Calculate the smallest common multiple of 18 and v.
18
Let s = 1 - -7. Suppose -5*i + 149 = 2*q + 92, 15 = 3*i. What is the smallest common multiple of s and q?
16
Let g be (-18)/(-220)*-239*25/(-30). Let j = 67/22 - g. Calculate the common denominator of j and -17/8.
8
Find the common denominator of -24 + 24 + (-284)/144*-1 and -50/117.
468
Suppose -2035*h + 78 = -1009*h - 1013*h. Suppose 6*u - 2*u - 276 = 0. What is the least common multiple of u and h?
138
Let q be 7/(28/24) - 1. Let l be (q/(-15) + 0)/((-1)/(-3)). Let d(j) = -7*j**3 - 2*j**2 - 4*j - 3. Calculate the lowest common multiple of d(l) and 10.
30
Let o = -582 - -569. Let t(u) = 47 + 11 + 3*u - 10. What is the lowest common multiple of t(o) and 58?
522
Let j = -87079/138243 + 11/3178. Calculate the common denominator of -89/6 and j.
174
Calculate the common denominator of 99/8 and (56/64)/((1326/12)/1).
1768
Let x be ((-3079939)/(-260))/((-7)/(-42)). Let q = x + -71076. Find the common denominator of q and 360/108*(-6)/88.
1430
Suppose -107 = -2*q + f - 4*f, 5 = 5*f. Let v = -51 + q. Suppose -19 = -2*b + 5*h + v, -28 = -b - 2*h. What is the least common multiple of b and 14?
140
Let a = 77247 - 7029355/91. Let y be 8 + 984/(-132) - (-222)/(-286). Let b = y - a. What is the common denominator of 41/2 and b?
14
Suppose 12*f - 5*f = -7. Let h be (1 - 