= -2631 + t. Let k = -2579/105 - r. Find the common denominator of k and -47/3.
15
Suppose 5*h = 8*h - 5*s + 11, 3*h + 2*s + 4 = 0. Calculate the common denominator of (-13)/(-455)*h*30/(-16) and 75/28.
28
Let j(h) = 2*h**2 + 94*h + 187. What is the smallest common multiple of j(-2) and (2 + (-1 - -27))*2?
56
What is the common denominator of (-85)/(-102) + 79887/(-10080) + (8 - 1) and -143/672?
3360
Let o(g) = -g**2 - g + 77 + 11 - 19 + 8*g. Calculate the least common multiple of 18 and o(10).
234
Let i be -3*265/30*(-211)/(-2). Let q = i + 2819. What is the common denominator of 5/6 and q?
12
Find the common denominator of 2070/(-15016)*(-270)/(-75) - 1/(-2) and 103/10.
18770
Let m(v) = -v**2 + 8*v + 2. Suppose -f + 3*b - 14 = 0, -26*f + 44 = -22*f - 2*b. What is the least common multiple of m(6) and f?
112
Let r = 381 - 381. What is the least common multiple of (-1 + r)/(-2*9/360) and 28?
140
Suppose 0 = -178*a + 186*a - 32. Suppose -1 = -a*v + 7, -40 = -5*f - 5*v. What is the lowest common multiple of 2 and f?
6
Suppose y + 5*v + 1155 = 0, 4*y + 0*v + 4575 = -5*v. Calculate the common denominator of (y/(-35))/6 + -1*4 and -47/12.
84
Suppose -2*d + 58 = -4*g - 54, 271 = 5*d - g. Let i = -35 + 47. Calculate the least common multiple of d and i.
108
Let b = 7749821 + -426253103/55. Let o = b - -1158/5. Calculate the common denominator of 32/9 and o.
99
Let m(r) = -r + 1. Let g be m(-1). Suppose 34 + 2 = -275*j + 281*j. Suppose -o + 9 = 4*l - g*o, -j = -2*o. Calculate the smallest common multiple of 2 and l.
6
Let z(c) = -c**3 - 51*c**2 - 380*c - 16. Suppose -7*b + 2*b = 5*i - 60, -8 = -3*i + 4*b. Calculate the least common multiple of z(-9) and i.
8
Suppose 81*g = 80*g - 4*v + 320, 3*g = 5*v + 1113. Calculate the least common multiple of 979 and g.
3916
Let j = -2643 - -5631. Suppose 144 = 5*q - 2*q. Find the common denominator of (-5)/(135/6)*j/q and -37/21.
42
Let r(d) = d**3 + 4*d**2 + 3*d + 4. Let s = -50292 + 50424. Calculate the lowest common multiple of r(-3) and s.
132
Let u = 10456643/2964 + -45868/13. Let d = -297/5 - -709/10. What is the common denominator of u and d?
228
Suppose 27*x - 446 = 21*x + 394. Suppose -2*w = -129 + 29. Calculate the lowest common multiple of x and w.
700
Let u be (-6)/10*(-102 - -7). Let w = u - 48. Let c = -7 + w. Calculate the lowest common multiple of c and 15.
30
Let g be (1768/4 - -3)*8/5. Let q = g - 682. What is the least common multiple of q and 10?
30
Let f = -105 - -841/8. Find the common denominator of -8 + 0 + (15918/(-5096))/(24/(-63)) and f.
416
Suppose 0 = 3*h - 12, 43*n - 39*n = -h + 32. What is the least common multiple of 2326 and n?
16282
Suppose 9*a - 541 - 598 - 319 = 0. Calculate the least common multiple of a and 14.
1134
Let r(d) be the third derivative of -d**6/120 - d**5/6 + 2*d**3/3 - 3*d**2. Suppose -6*q = 2*q - 144. Calculate the smallest common multiple of q and r(-10).
36
Let n(d) = d**3 + 3*d**2 - 9 + d - 7*d + 3*d - 4*d**2. Suppose 0 = 2*m + 3*w - 20, -5*m + 2*w = -0*m - 12. Calculate the least common multiple of n(m) and 3.
27
Let p = 473 - 471. Suppose -2*j - x + 2 = -10, p*j + 3*x - 12 = 0. What is the least common multiple of j and 155?
930
Suppose 85 = -14*f - 3*f. Let b(s) = -s**3 - 2*s**2 + 2*s - 24. Let q be b(f). Suppose -q = -6*c + 31. What is the least common multiple of 16 and c?
48
Suppose 5*m + 5 = 9*l - 4*l, -5*m = l - 25. Suppose -3*n + 345 = m*r, 5*r + 155 = 7*r + 5*n. Calculate the smallest common multiple of r and 8.
360
Let p = 24140248079/124 - 194678122. Let d = 1298 - p. Let m = d + -729/62. Find the common denominator of m and 5/3.
12
Let i(z) = 21*z + 117. Calculate the lowest common multiple of i(-5) and 23.
276
Let a = -7 + 27. Let y = -92607 + 92609. What is the smallest common multiple of y and a?
20
Let w(f) = 7*f - 60. Let r(b) = -2*b. Let t(z) = -3*r(z) - w(z). Calculate the smallest common multiple of 10 and t(25).
70
Calculate the common denominator of 1/(-5) + 7056/(-4320) and -11*4/12*1.
6
Let a be 1 - (6267/(-30) + 7). Let k = -203 + a. Find the common denominator of (-4)/(80/73) + 3 and k.
20
Let m = 37 + -26. Suppose 2*x = 4*t - 140, -113*t - 240 = -118*t - 4*x. What is the lowest common multiple of m and t?
440
Find the common denominator of -25/22 and -17 - (-15)/(759060/860622).
92774
Suppose 5*s + 6 = 21. Suppose 24 = p - 5*a + 7, s*a + 87 = 3*p. Calculate the lowest common multiple of p and 32.
32
Calculate the least common multiple of -2 + -2 + 2219 + 1 and 16.
4432
Suppose -s + 17 = -5*z, -2*z - 27 = -3*s - 15. Calculate the smallest common multiple of s and 2724.
2724
Let z = 2/6019 - -60028/487539. What is the common denominator of (12/54)/(20/30) + (-254)/108 and z?
162
Suppose 0 = p + 4*i - 14, -2*p + 11 + 7 = -2*i. Suppose 3*x = 7*n - 6*n - 9, n - x = 15. What is the smallest common multiple of n and p?
90
Suppose -12*k + 4896 + 480 = 0. What is the least common multiple of k and 16?
448
Let a = -2532 - -5442. Let v = -32046/11 + a. Calculate the common denominator of ((-182)/(-36))/(-1*(-6)/(-18)) and v.
66
Suppose -31 = -i + r - 4*r, 0 = 3*r + 9. Let l = -32 + i. Let h = -8 - -12. Calculate the smallest common multiple of h and l.
8
Let k = -1313272/369 + 3559. Let n = 4877699 - 3599742721/738. Let j = k + n. What is the common denominator of j and -67/30?
30
Let b(j) = j + 6. Let d be b(-6). Suppose 17 = 3*m - 5*s - 96, -m + 5*s + 41 = d. Calculate the smallest common multiple of (-1 - (-8)/7) + 460/7*81/162 and m.
396
Let m(g) = -25*g + 519. Let v be m(21). Find the common denominator of ((-12)/768*8)/(v/(-56)) and 10/33.
66
Calculate the smallest common multiple of 10 and (7/(-7))/(-7) + (-241307)/(-77).
15670
Suppose 0 = d + 3*x - 507 - 69, 0 = -3*x + 12. Calculate the smallest common multiple of d and 6.
564
Let k be 2/(-11) + (-11)/((-1210)/1670). Suppose 2*b + 260 = 5*l, k = -b - 2*b. What is the least common multiple of 1 and l?
50
Let n(l) = 2*l**2 - 16*l - 146. Let a = -170 + 161. What is the smallest common multiple of 3 and n(a)?
480
Let c(m) = 561*m**2 + 58*m + 58. Calculate the least common multiple of c(-1) and 408.
4488
Calculate the smallest common multiple of 30 and (12 + -10)*1035/9.
690
Suppose -46*k - 448 = -54*k. What is the smallest common multiple of (-7)/(84/16)*-6 and k?
56
Calculate the least common multiple of 60 and (-24)/((-8262)/684 - -12).
4560
Let v(y) = -51*y - 940. What is the least common multiple of 140 and v(-22)?
1820
Let d be (-38)/(-6) + 16/(-3) + 6. Suppose 5*k - 546 = 2*b, d*b - 2*b = -4*k + 417. What is the smallest common multiple of 18 and k?
108
Let y(o) = o**2 + 7*o + 1. Suppose d + 3*z = 5, -4*z + 8 = -3*d - 29. Suppose -11*p + 127 = -16. Calculate the least common multiple of p and y(d).
13
Calculate the common denominator of 33/1750 and ((-29440)/(-30))/(-23)*3/(-630).
15750
Let j(n) = 2*n**3 + 13*n**3 + 22*n**3 + 8*n**3 - 2*n + 1. Let y be j(1). Calculate the common denominator of 9/107 and y/36 + 0 + 2 + -1.
963
Let l(z) = z**3 - 6*z**2 - 6*z - 6. Suppose -6*k + 39 + 3 = 0. Let f be l(k). Find the common denominator of -4/7 and 1752/(-160) + f/4.
70
Suppose 6*q - 299 + 266 - 159 = 0. Calculate the smallest common multiple of q and 108.
864
Let r = -19 - -27. Suppose -7 = z - 3*q, 3*z = -q + 6 + 3. Suppose 12*o + z*o = 42. Calculate the smallest common multiple of o and r.
24
Let t(k) = -2*k**2 - 12*k + 369. Calculate the lowest common multiple of t(9) and 39.
1287
Suppose -2*p + 5*s + 435 = 0, -s - 17 + 14 = 0. What is the lowest common multiple of 14 and p?
210
Let o(c) = 250*c + 1274. Calculate the lowest common multiple of 7170 and o(-5).
28680
What is the common denominator of (-8)/60*((-393)/12 + 5) and 11 + 4*(-6017)/1584?
180
Suppose -3*c + 65 + 34 = 0. What is the lowest common multiple of 10 - (-14)/35*5 and c?
132
Find the common denominator of 17875/(-20988) + 18/24 and -17/6.
954
Suppose 0 = 8*p + 521 - 545. Let f be 150/14 - 6/(-21). Suppose p*b + f = -88. What is the common denominator of b and 37/19?
19
Suppose -14*p = -15*p - 304. Let g be p/(-5) - (-72)/(-90). Suppose -9*w - g = -14*w. Calculate the least common multiple of 22 and w.
132
Suppose 2*g - 29 - 37 = 5*x, -60 = 4*x + 2*g. What is the common denominator of 17/35 and (208/117)/(x/(-8))?
