-3*u + m, 2*m + 2 - 10 = 4*u. Suppose 2*t - 54 + 40 = u. Calculate the smallest common multiple of t and 17.
119
Suppose -3*i - 3*x + 2*x = -23051, 4*i + 3*x = 30728. Let t = -76757/10 + i. Let q = 104401/17192 + -3/2456. What is the common denominator of q and t?
70
Let g = 8259 - 74255/9. Calculate the common denominator of g and 3/229.
2061
Let f = 4979 + -4957. Let k = 1791277/10 + -934808/5. Let r = k + 7846. What is the common denominator of f and r?
10
Let k = 17197/22 + -782. Calculate the common denominator of k and 51/8.
88
What is the least common multiple of 6 and ((-34)/6)/(26/(-234))?
102
Let a = 247 - 352. Let j = -75 - a. Calculate the least common multiple of j and 33.
330
Let r(c) = c**2 + 4*c + 2. Let n be r(-4). Let q = 38 + -54. What is the least common multiple of (4/q)/(n/(-88)) and 17?
187
Let k = -125 + 899/6. Let m = 55 - 273. Find the common denominator of k and m*(-1)/(-20) + -1.
30
Suppose d = w - 3*w + 21, -2*w + d = -15. Suppose -6*a - w = -3*a. What is the common denominator of -27/4 and (-2)/a*(-22)/12?
36
Let p = 1/230 - 472/115. Let o be (-1518161)/(-113010) - 4/(-10). Let h = o + -2/3767. Find the common denominator of h and p.
30
Suppose -28*s + 100 = -180. What is the least common multiple of s and 186?
930
Let s be (-1)/(6 - 5) - 8/(-2). Calculate the common denominator of -103/30 and 2/s*(-548)/64.
120
Suppose j + j = -4*q - 250, 387 = -3*j - 3*q. Let c = -115 - j. What is the lowest common multiple of 6 and c?
18
Let o = -8 + 13. Suppose -10 = -o*n, -5*c + n = -2*n - 4. Let v = 1 - -6. What is the lowest common multiple of c and v?
14
Let o = 2318 - 2203. What is the lowest common multiple of 8 and o?
920
Calculate the common denominator of (226/(-30))/(2/(-3)) and 76/16*12/(-14).
70
Let i(c) = 7*c + 2. Suppose 460 = 7*o + 446. What is the least common multiple of i(2) and o?
16
Let x(k) = -k**2 + 3*k + 14. Suppose 3*b - 3*y - 12 = 0, -2*b + 3*b + 3*y - 8 = 0. What is the least common multiple of x(b) and 34?
68
Let w be 3 + -1*((-114)/(-1) - -4). Calculate the least common multiple of (-46)/w - 108/(-5) and 4.
44
Suppose 3*q + 454 = 457. Suppose 2*n - 19 - 2 = u, n + 2*u - 13 = 0. What is the least common multiple of q and n?
11
Let r(n) = n**3 + 5*n**2 + 2*n - 5. Let b be r(-4). Let v be 11*-41 + b/18. Let m = v + 1286/3. Calculate the common denominator of m and 71/14.
42
Suppose -3*h = -2*o - 23, -4*h + 27 = -4*o - 9. What is the least common multiple of 8 and ((-6)/h)/((-51)/850)?
40
Let z = -3937/101505 - 19/303. Calculate the common denominator of z and -7/9.
3015
Find the common denominator of 6 - 3 - 210/8 and (-3)/(-5) + (-26)/35.
28
Let k be (-23)/(-230) - (-702)/(-20). What is the common denominator of 74/8*6/5 and 7/k + 104/45?
90
Suppose -v - 5*v = 12. Find the common denominator of (1/(-5))/(28/(-1030)) and v - (-1 - 174/(-28)).
14
Let j(u) = -2*u**2 - 2*u + 2. Let v be j(-3). Let x = v - -12. What is the lowest common multiple of 2 and 22/2 + x + -4?
18
Let m(k) = -k. Let j be m(-1). Let t(y) = -11*y**2 + 1. Let a be t(j). Calculate the common denominator of (-4)/a - 378/60 and 40/27.
270
What is the common denominator of -61/4 and 6/568*29/(3132/(-3576))?
852
Let l = -9480762871/22206 - -426946. Let m = l + -517444267/244266. Let j = -2115 - m. What is the common denominator of -5/9 and j?
99
Let c(r) = r**3 - 4*r**2 + 2*r + 7. Let k be c(3). Calculate the smallest common multiple of k/(8/6) - -4 and 8.
56
Calculate the smallest common multiple of 18 and ((-5)/(-10))/((-6)/(-24)).
18
Find the common denominator of -79/21 and 2738/(-2058) - 468/(-351).
1029
Suppose -95 = -59*p + 3740. Calculate the lowest common multiple of 270 and p.
3510
Let l(x) = -4*x**3 - 5*x**2 - 15*x - 8. Let j be l(-4). Calculate the common denominator of -39/8 and ((-15)/(-10))/(j/188).
152
Let l be 3 + ((-16)/12 + 1)*6. Find the common denominator of 4/l + 678/(-72) and 79/2.
12
Let j = 18005/122 - 5/61. Let s = j + -184. Let n = 379 + -1153/3. What is the common denominator of s and n?
6
Suppose 25*z = 29*z - 20. Calculate the common denominator of -127/6 and -10 - (16/z + -3).
30
Calculate the common denominator of 13/318 and 4 + 2 - (-296)/80.
1590
Calculate the common denominator of (106/(-16))/(5/(-2)) and ((-4)/288)/((-10)/328).
180
Suppose -4*k + 92 = -5*o, -12*o = -17*o - 20. What is the least common multiple of k and 36?
36
Let c = -73/1323 - 95483/211680. Calculate the common denominator of c and 61/48.
480
Let q = -327/19 - -735/152. Find the common denominator of q and (-74)/(-32) - (5 + -1).
16
Suppose -2*t + 13 = 2*c - 105, 3*c + 15 = 0. What is the smallest common multiple of 28 and t?
448
Let k(i) = -21*i + 1. Let h(y) = 62*y - 2. Let u(x) = 4*h(x) + 11*k(x). What is the least common multiple of 4 and u(1)?
20
Let v(p) = p + 27. What is the smallest common multiple of v(42) and 8?
552
Let t(w) = -w**2 + 4*w + 5. Let g be t(4). Suppose 2*c = g*c - 27. Let p = 58 - 51. What is the lowest common multiple of c and p?
63
Let n = 154 - 78. Suppose 0 = -2*f + 4*x + n, 226 = 2*f + 3*f + 2*x. What is the lowest common multiple of 4 and f?
44
Let c be (-204)/15 + 6/(-15). Calculate the common denominator of 5/(-10)*-3*(-20)/c and 2/11.
77
Let h = -1/2196 + -319/2745. What is the common denominator of h and -103/72?
360
Let h = -14 + 16. Suppose -3*s = -3*c + 1 + h, -s + 3*c - 9 = 0. Calculate the common denominator of 231/54 - 3/s and 45/4.
36
Suppose 3*k + 16*f = 14*f + 52, -2*k - 2*f = -32. Calculate the lowest common multiple of 10 and k.
20
What is the common denominator of (69/42)/((-6)/(-7)) and (-5184)/512*(-2)/(-5)?
60
Let t(j) = 7*j. Let g be t(2). Suppose 5*d - 13 = -i, -4*i - 2*d - g = -4*d. What is the lowest common multiple of 6 and (-4 - -2)*i - -7?
66
Suppose 4*m - 3*o = -5*o, m + 2 = -o. Suppose 0*r - m*x - 56 = -3*r, -r + 5*x + 10 = 0. Calculate the lowest common multiple of 32 and r.
160
Suppose 0 = -2*z + 3 + 17. What is the smallest common multiple of z and (-98)/(-245)*170/2?
170
Let p be (712/11)/((-7)/2). Let a = p + -1/154. Find the common denominator of a and -50/11.
22
Suppose -4*j + 12 = 0, 4*q - 3 = 3*q - 3*j. Calculate the lowest common multiple of 19 and 0 + 8*(-3)/q.
76
Let n be (12/3)/((-2)/4). What is the smallest common multiple of 0 - (n + (-4 - -8)) and 3?
12
Suppose -400 = h + 7*h. What is the common denominator of 13/12 and (170/h)/(8/10)?
12
Let c = 211 - -187. Let j = c - 1261/3. What is the common denominator of j and -41/3?
3
Let p = -3924/13 + 247459/819. Let t = 5/63 - p. Calculate the common denominator of t and 24.
9
Suppose -4*g - 3*l = -228, -28 - 172 = -4*g + 4*l. Suppose -g = -5*d + 16. Calculate the smallest common multiple of (-4)/(-16) - d/(-8) and 4.
4
Let u be (-47)/(-5) + (-12)/20. Let i = 283/10 - u. What is the common denominator of i and 50*(1 - 16/18)?
18
Let s(l) = -8*l + 30. Let a be (1 - 0*(4 - 3))*-3. What is the lowest common multiple of 10 and s(a)?
270
Calculate the smallest common multiple of 7 and (12/(-10))/(16/196040*-13).
7917
Suppose 217 = 13*q - 355. Calculate the lowest common multiple of q and 5.
220
Calculate the common denominator of -33/100 and (-9)/72*(1178/(-90) + -3).
900
Let r be (-4)/(-30)*-3*-15. Let i be 3 - -2*(-9)/r. Suppose -2*j - q + 13 = 0, -4 = j + 4*q - i. Calculate the lowest common multiple of j and 5.
40
Let k = 49333627/204 + -241832. Let i = 659 + -5281/8. What is the common denominator of i and k?
408
Suppose d + 1 - 2 = 0. Suppose -2*b + 15 = d. Suppose -3*o - 58 = -82. What is the smallest common multiple of b and o?
56
Let w(r) = 9*r**2 - r. Calculate the smallest common multiple of w(-1) and (1 - 0)/(1/22).
110
Calculate the common denominator of (-4)/(-9) + ((-2)/4 - 1) and 119/610.
5490
Let x = -390076 + 3937433/10. Let s = -3365 - -7029. Let r = x - s. Find the common denominator of 67/4 and r.
20
Suppose 3*z - 40 = -z. Suppose -p + 0*x = 2*x + 12, -2*x = 5*p + 20. Calculate the smallest common multiple of z and 82/8 + p/8.
10
Let s be 0 + -3*16/(-12). Suppose -s*h + 9 = 1. Suppose 0*z = h*w - 2*z - 14, 4*z + 4 = 0. Calculate the least common multiple of w and 6.
6
Let g = 554 - 1619/3. Let n(t) = -2*t - 44. Let l be n(-19). Calculate the common denominator of g and 135/(-77) + l/(-231)*7.
21
Let