
770
Suppose 4*a - 5 = -5*y, -5*y - 2 + 7 = -2*a. Suppose -356 + 8 = -5*g + 4*t, -4*t + 12 = a. What is the least common multiple of 6 and g?
72
Let v = 266890/35818167 - 2/66453. Find the common denominator of -2/6321 and v.
69531
Find the common denominator of 1827/40310*(-4)/(-30) and 13/30.
20850
Let m(p) = p**2 + 1. Let q be m(1). Suppose 134 = 2*i - q*c, 7*i - c - 315 = 2*i. What is the smallest common multiple of i and (-140)/(-7) - (14 - 14)/20?
620
Find the common denominator of -14 + (4818175/(-11050))/(-31) and 79/1598.
20774
Let v = -8306 + 10156. What is the least common multiple of v and 555?
5550
Let d be (1190/200 - 6)/((-304)/48910). Let x = d + -138/19. Find the common denominator of x and 53/36.
288
Let a = -2811 + 3179. Calculate the lowest common multiple of a and 207.
3312
Let z be -90*((-21)/14)/((-6)/(-136)). Suppose 0 = 5*y - 25*y + z. Calculate the smallest common multiple of y and 33.
1683
Calculate the smallest common multiple of (-39)/((-39)/(-8)) - -52 and 1104.
12144
Let q(y) = 6*y**2 + y - 1. Let c be q(1). Let m = 2318 + -2244. Suppose -c + m = 17*z. What is the least common multiple of 32 and z?
32
Let h = 14 - 5. Suppose 7*l - 12 = h*l. Find the common denominator of (-1)/l*((-248)/3)/4 and 5/3.
9
Let u(a) = -2*a**2 - 33*a - 115. Calculate the lowest common multiple of 11915 and u(-10).
35745
Suppose 14*a - 174 = 10*a - c, 6*c = 2*a - 100. Suppose -n - 5*b + 39 = 0, b - 12 = -3*b. What is the least common multiple of n and a?
264
Let a be (-1727434)/(-468) + 11/((-715)/10). Let l = a - 3690. Calculate the common denominator of l and -55/252.
252
Let j = 989/3 - 326. Let w = 10861 - 293206/27. What is the common denominator of w and j?
27
Let a = 60469/13110 - 20/437. What is the common denominator of -25/336 and a?
1680
Let g = -280/13 + 3765/208. Calculate the common denominator of (4/(-6))/(40/81) and g.
80
Let p(f) = -f + 972. Let w be p(0). Calculate the common denominator of 1*-5*234/w and 17/22.
594
Suppose 0 = -2*g, 7*y - 575 = 2*y - 5*g. Let c = 123 - y. Suppose -2*r = -c, -3*x - 4*r - 56 = -6*x. Calculate the lowest common multiple of 12 and x.
24
Let c(g) = 2*g - 2. Let u be c(2). Suppose -18 = u*v - 3*v. What is the smallest common multiple of v and (64/8 - -8)*(-2)/(-2)?
144
Let n(p) = -p**2 - 102*p - 369. What is the smallest common multiple of n(-69) and 36?
1908
Let j(a) = -2*a**2 - a + 224. Let s be j(0). What is the least common multiple of 40 and (-2)/(-14) - (-12288)/s?
440
Suppose -5*i + 1068 = i. Suppose -3*w + i = -w. What is the common denominator of -32/27 and w/8*5/(-15)?
216
Let z = -220/43 + 5884/1419. Let n be ((-4)/18)/(4/47085). Let q = n - -2641. Calculate the common denominator of z and q.
66
Let a = -378 - -405. What is the smallest common multiple of 10 and (1 - (0 - 3 - -1)) + a?
30
What is the smallest common multiple of 58 and (-1456)/(-260) + (-2 - 0) - 6/(-15)?
116
Calculate the lowest common multiple of 1833 and (-68)/(-442) - 14656/(-52).
3666
Suppose -3*m + 8 - 25 = 4*b, 0 = -3*m + 2*b - 23. Let c(y) = 4*y**2 + 23*y + 28. Calculate the least common multiple of c(m) and 27.
189
Let l(u) = 13 + 2*u**3 + u - 6*u**2 - 34*u**2 - 15. Let b(q) = q**2 - 2*q. Calculate the smallest common multiple of b(6) and l(20).
72
Suppose 131 = -c + 132, 2*j = -2*c + 2338. Calculate the least common multiple of j and 1168.
1168
Suppose -3*x - j - 4553 + 4594 = 0, -x + 3 = -j. Calculate the least common multiple of 421 and x.
4631
Suppose -7*g = -38*g + 372. Calculate the least common multiple of 640 and g.
1920
Suppose 737*t - 20767 + 5542 = 722*t. Calculate the least common multiple of t and 725.
5075
Let n = -921 + 1081. Calculate the lowest common multiple of n and 320.
320
Let v = -19317336 + 18602591233/963. Let j = v + 2/107. Let r = -15/14 + -121/70. What is the common denominator of r and j?
45
Let t = -9898319/47764784 - 1/157121. What is the common denominator of t and -79/57?
912
What is the least common multiple of 153 and -6*14/112*-16?
612
Let i = 187 - 183. Suppose -i*n + 175 = 5*o, -4*o + 136 = 4*n - 0*n. Calculate the lowest common multiple of 33 and o.
429
Suppose -4*g + 115 = -89. Let m = g - 254/5. What is the common denominator of m and (-2 - -1)/(10/1 - 3)?
35
Calculate the lowest common multiple of 35*728/65 - -3 and 9.
3555
Let o = 201/874 + -129517/428260. Calculate the common denominator of o and -97/308.
10780
Let j = 1640783/30 + -54691. Let b = 46279/12 + -3859. Calculate the common denominator of j and b.
60
Let s be (-3136511)/204008 - (-3)/2. Let d = 2/3643 - s. Let u = d + 47/24. Calculate the common denominator of 87/26 and u.
78
Suppose 150*k - 69*k + 1684 - 10108 = 0. Suppose -2*i + 2*z = -20, -z = 2*i - 2*z - 18. What is the least common multiple of i and k?
104
Let j be (11 - -121)*9/2. Calculate the common denominator of (-2643)/j - 6/(-27) and (-3)/(-2)*(-553)/(-105).
110
Let l be (-1)/3 - 3/(-9). Suppose l = x - 6 - 3. Let y = -119931 + 119964. Calculate the smallest common multiple of x and y.
99
Let z = 5110 + -4996. What is the lowest common multiple of z and 190?
570
Suppose 8*k = 5*k - 36. Let m be ((-556)/k)/((-96)/(-9)). Let f = m - 7/32. What is the common denominator of -57/2 and f?
8
Suppose -7419*i - 50 = -7420*i + 2*o, -5*i = 5*o - 325. What is the smallest common multiple of i and 492?
2460
Let n = 2/2765 - 9845/2212. Suppose -2*c + 7 - 2 = -5*f, 3*c + 9 = 2*f. Calculate the common denominator of n and (77/(-21))/((-2)/f).
20
Find the common denominator of 40/700*(-310)/18 and -85/504.
504
Let y = 2771/120 - 351/20. Find the common denominator of -17/104 and y.
312
Suppose 8 + 10 = 8*c + b, -4*c + b + 18 = 0. Let p = -17 - -31. Suppose 4*f - 3*z = -0*z + 43, -f + p = -4*z. What is the lowest common multiple of f and c?
30
What is the least common multiple of 4 and (-15 + 1116)*(-40)/(-6)?
7340
Let w(g) = -6560*g + 31. Let d be w(-3). Let b = d + -1359998/69. Calculate the common denominator of b and 137/30.
690
Calculate the common denominator of 18/(698544/812294) - 21 and -23/84.
2772
Let g = 7435135/101431602 - -6/69569. Calculate the common denominator of -29/33 and g.
16038
What is the lowest common multiple of (0 - -6)*(-33)/(-9) and (-172)/817 + (-1730)/(-95)?
198
Let h = -9917 + 99273/10. Find the common denominator of 287/(-168) - 1/1*-3 and h.
120
Let b(k) = k**2 - 5*k. Calculate the smallest common multiple of b(-8) and 2/4*-2 + (57 - 16).
520
Suppose 5*h - 16 = -4*g, 0 = -3*h - 3*g + 5 + 7. Suppose h = -3*c - 2*i - 5 + 1, -3*c = -2*i - 16. Calculate the lowest common multiple of c and 96.
96
Let t = 88 + -88. Suppose 3*r + 4*j - 10 = 0, -2*r - 3*j = -t*r - 8. Find the common denominator of 3/14 and (r/(-20))/((-8)/(-456)).
70
Suppose 44*u = -67*u - 35*u + 438. What is the least common multiple of u and 819?
819
Let a be -1 - (2 + 1) - (-485534)/189. Let d = a + -374371/54. Let s = 4350 + d. What is the common denominator of s and 2/3?
6
Let h(x) = -3*x + 3. Let k(u) = -9*u - 43. Suppose -3*v = -p + 18, -40 = -0*v + 5*v - 5*p. What is the smallest common multiple of k(v) and h(-7)?
24
Let b(h) = -353*h - 3. Suppose 0*f - 2*f = 4. Let n be b(f). What is the common denominator of n/(-2850) - (-1)/3 and 19/18?
450
Suppose 4*a = -16, 0 = -u + 4*a + 139 + 1947. What is the lowest common multiple of u and 22?
22770
Suppose -39 = -3*w + 108. Suppose 0 = -2*f - 5*f + w. What is the lowest common multiple of (0/3 + 6/(-9))*-6 and f?
28
Let m be (3 + 0 - 0)*1/3. Let x be m/1*8/4. Suppose x*f + 158 = 2*n, 0 = 5*n + 5*f - 403 - 22. Calculate the least common multiple of n and 10.
410
Let f = -579 - -584. Let u(a) = a**2 - a - 11. Let w = -39 + 72. Calculate the smallest common multiple of w and u(f).
99
Suppose -169 = -3*p + 2*q - 153, -2*q - 4 = 0. Calculate the lowest common multiple of 729 and p.
2916
Suppose -q + 2710 = 734. What is the lowest common multiple of 152 and q?
1976
Let d = 2/239 - -1669/478. Suppose -x = 4*w + 60, 3*w + 0 = -3. What is the common denominator of d and (-8)/x + (-519)/56?
8
Suppose 350*n - 189504 = 342*n. Let y = n + -2487188/105. What is the common denominator of -17/11 and y?
1155
Suppose 0 = 3*x - 2*o - 120 + 114, -4*x - 4*o + 28 = 0. Calculate the least common multiple of x and 4330.
8660
Let q =