190
Suppose 0 = 61*n - 3 - 424. Calculate the smallest common multiple of 210 and 1*(226 + n) + -2.
2310
Suppose -2*s = -5688 + 5682. What is the lowest common multiple of s and (-2)/(-3) - (-210)/9?
24
Let f = -1479 - -13372/9. Let a(h) = -h**2 - 6*h - 11. Let p be a(-6). Calculate the common denominator of f and p*(2 + 1/2).
18
Let j = -25759 - -25787. Calculate the least common multiple of j and 3444.
3444
Let t be ((-7)/1722952)/(12/3547024). Let o = t + 11/2797. What is the common denominator of o and 85/44?
132
Suppose q = 4*d + 125, -14 = -2*d + q - 79. Calculate the lowest common multiple of 16 and 1 - (12 - 5) - d.
48
Let q = 2242 + -1455. Let m = q + -4697/6. Calculate the common denominator of m and 39/10.
30
Suppose 72570 = -95*n + 136*n. Calculate the lowest common multiple of n and 14.
12390
Let g(z) = 25*z**3 + 13*z - 3. Let j be g(6). Let p = j - 153369/28. Find the common denominator of p and -74/35.
140
Let m(l) be the first derivative of -5*l**2/2 + 6*l - 1. Suppose 3*w - 62*k = -59*k - 24, 3*w - 32 = -5*k. Calculate the common denominator of m(w) and -11/6.
6
Let j = -8885 + 9956. What is the lowest common multiple of j and 168?
8568
Suppose 5*w - 5 = 3*f, -4*w + 7*w - 27 = -3*f. Calculate the smallest common multiple of 9 and 38/w - (-2)/4.
90
Let s = 5885809/632 - 9313. Find the common denominator of -37/158 and s.
632
Let w(x) = -78*x. Let b be w(-7). Suppose 4*q - 2*u = -7*u + b, -5*q = -5*u - 660. Let a = q + -123. Calculate the smallest common multiple of 5 and a.
55
Suppose 0 = -53*f + 1866 + 784. What is the least common multiple of 720 and f?
3600
Suppose -c + 1720 = -1042. Let g = -46975/17 + c. What is the common denominator of (-763)/(-42) + 2 - 3 and g?
102
Let g = -1871/310 - 33/31. Suppose -4*t - 3*d + 4679 = 0, -d - 1406 = -t - 231. Let b = -6997/6 + t. What is the common denominator of b and g?
30
Let w(v) = -2*v - 6. Let l = -7 + 1. Let m = 40 - 16. Calculate the lowest common multiple of w(l) and m.
24
Let z be (-1)/(2/(-12)*-6). Let o(u) = -11*u - 5. What is the smallest common multiple of o(z) and 18?
18
Suppose 0 = 3*y + y - 1320. Suppose -25*t - y = -28*t. Suppose 3*k - t = -2*k. Calculate the lowest common multiple of 6 and k.
66
Let j = -1194583/84488 + 834/59. What is the common denominator of 33/358 and j?
1432
What is the common denominator of -77/16 and (32/20)/4 + (-26388)/56520?
2512
What is the lowest common multiple of 48 and (932/3)/(((-9)/(-63))/((-9)/(-21)))?
11184
Let w = 41187 - 947157/23. Let d = w - 859/207. Calculate the common denominator of ((-37875)/36)/25*(-2)/(-5) and d.
18
Calculate the least common multiple of 14*(-27)/(-12)*(-100)/(-3) and 30.
1050
Suppose 2*w - 242 = -v, 5*v = 2*w - 0*v - 218. Calculate the common denominator of (186/40)/((w - -1)/8) and -57/35.
700
Let m = -873506/35 - -24956. What is the common denominator of 73/75 and m?
525
Let p(l) = 2*l**2 - l - 12. Let z be p(-8). Let o = z + -121. Calculate the common denominator of (-8 - -11) + o/(-8) and -41/3.
24
Let y = 45891/4 + -11472. Find the common denominator of y and 51/1166.
2332
Let l be ((-3004)/(-30))/(16/(-20)). Let d = 412/3 + -5/6. Let m = d + l. Find the common denominator of -28/5 and m.
15
Let g(y) = 58*y**3 - 3*y + 2. Let c = -65 + 66. Let j be g(c). Let h = j + -53. What is the least common multiple of 4 and h?
4
Let v = 4212 - 2958. Calculate the lowest common multiple of 4598 and v.
13794
Let r(x) = 22*x + 6. Let l be r(3). Let o = -78 + l. Find the common denominator of 39/170 and (-1 - 68 - 5)/((-40)/o).
170
Suppose -j = 22*j - 736. Suppose -6 = 4*q - 38. Calculate the smallest common multiple of j and q.
32
Let h be 1/1*(-1 - (-10 + -1)). Let s = 11 - h. Calculate the least common multiple of (s - 14/2)*(-4 + 2) and 18.
36
Let q = -10561 - -10625. What is the least common multiple of q and 1132?
18112
Let w = 8/88035 + 931939/13557390. Find the common denominator of 25/44 and w.
1540
Let i = -8926/7 + 1338781/1050. Find the common denominator of i and 71/225.
450
Let f(x) = x**2 + 16*x + 19. Suppose -4*h - 4*o - 68 = 0, -5*h = -2*o + 87 - 30. Let p be f(h). Find the common denominator of (6/p)/((-6)/(-35)) and -17/4.
4
Suppose -61 = -0*d + 2*d + 5*q, 3*q = -5*d - 105. Let f(z) = -z**3 - 15*z**2 + 52*z - 28. What is the smallest common multiple of f(d) and 6?
24
Let w be (-9202)/1092 + (4 - 3). Let z be 766/39 + -8*(-21)/(-28). Let a = z + w. What is the common denominator of -75/14 and a?
14
Let f(x) be the third derivative of x**6/120 + 23*x**5/30 + 43*x**4/24 - 17*x**3/2 - 7*x**2 + 2. What is the least common multiple of 3 and f(-45)?
39
Let f(i) = i + 78. Let t be f(0). Let x = -110 + t. Calculate the common denominator of -47/6 and (48/x)/((-6)/124).
6
Suppose 5*x - 100 = 2*o, -3*x + 1 = 2*o - 43. Calculate the common denominator of 67/4 and 50/(-44) + 1 + 9/x.
44
Let g = -29282 - -5358647/183. Find the common denominator of 73/27 and g.
1647
Let c = 590 + -570. Let z(w) = -w**2 + 5*w - 4. Let n be z(6). Let i = n + 26. What is the least common multiple of i and c?
80
Let z = -269 + 274. Suppose i + 24 = 5*i. Calculate the least common multiple of i and z.
30
Suppose 0 = -y + 2, 8*y + 534 = -z + 3*y. What is the common denominator of -54/7 and (-3)/4 - 3*(-56)/z?
119
Let c = 184926 + -204898101/1108. Find the common denominator of -89/12 and c.
3324
Let a(t) = 53*t + 18. Let f be a(-4). Let g = 218 + f. Calculate the least common multiple of 6 and g.
24
Let t = -6100378/4257 + 15762/11. What is the common denominator of -61/129 and t?
387
Suppose -69*h - 68*h = -1644. What is the least common multiple of h and 440?
1320
Suppose 4*u - 10 = o, o + 102 = -20*u + 188. Let c = 15 + -30. What is the least common multiple of u and (42/c)/(1/(-5))?
28
Suppose 2*n + 5*g = 71, 113 - 308 = -5*n + 5*g. Suppose 52*d - 196 - 110 = 18*d. What is the smallest common multiple of n and d?
342
Suppose 14*g - 57 = -1. What is the least common multiple of (40/(-25))/(2/(-20)*g) and 56?
56
Let w = 7235/814 + -270/37. Let f = 4503/20 - 797/5. Let v = 453/8 - f. Find the common denominator of w and v.
88
Let o be 1/(1/(-3 - -34)). Suppose -2*k - 5*b - o = 0, -k - 23 = -0*b + 4*b. What is the common denominator of k/(144/44)*-21 and -24/11?
44
Suppose -4*b = -b - 267. Suppose 4*h - 9 = 3*a, -27 = 2*a - 4*h - 13. Calculate the smallest common multiple of a and b.
445
Let m be (-7)/(-28) - (-8439)/4. Suppose -10*g + m = -5090. What is the common denominator of (-9570)/g - 4/(-6) and -59/5?
40
Suppose -20313 = -17*u + 12514. What is the smallest common multiple of 6 and u?
11586
Suppose 9058 = 5*l + 3*j, 0 = 6*l + 5*j - 6*j - 10865. Let f = l + -16343/9. What is the common denominator of -101/4 and f?
36
Suppose 13*l - 2*h = 12*l + 2, -l = 2*h - 18. Suppose 0 = 4*b - 4*g - 80, 2*b - 5*g - 9 = 16. Calculate the smallest common multiple of b and l.
50
Let d be (1 + -5)/1 + 4. Let h be 3 - (2/(92/146) - d). Let a = h + 1484/69. Find the common denominator of a and 49/15.
15
Let d = 1626297/40 - 40660. Find the common denominator of 52/31 and d.
1240
Let x = 5519345329/588 - 65706002/7. Let w = x + -37/147. Let a = w - 67. Calculate the common denominator of a and -69/22.
44
Let g be (-24)/36 + (-11)/(-3). Calculate the lowest common multiple of 5 and -5*(10/6 + -2)*g.
5
Suppose 8 = -6*r - 28. What is the common denominator of (-258)/44 - (r - (-15)/3) and 87/16?
176
Let c be (-2 + 0 - -1)/((-1)/12). Let u = c - 46. What is the common denominator of ((-1)/6)/(u/1717) and -31/8?
24
Let d = 17 + -11. Find the common denominator of (9/12)/(66/572) and (182/(-6))/((-20)/d).
10
Let s be 242694403/(-12593238) - 2/(-19). Let d = -2/15781 + s. Calculate the common denominator of 89/18 and d.
18
Find the common denominator of 79/736 and ((-9)/(5940/77))/(69/99).
3680
Let q = 2581/774 + 19/86. Let m = 3286 + -16391/5. What is the common denominator of q and m?
45
Let l be (-6)/3 - (-16 - 1). Let f = 53 - l. Suppose 13*x + 280 = 48*x. Calculate the least common multiple of f and x.
152
Let q = -2 + 23. Let w be 2/(-6) - (222/(-18) - -7). Suppose -2*n = 4*t - 54, -4*n - w*t + 144 = -9*t. Calculate the least common multiple of n and q.
231
Let l = 27/311 - 21675/2488. What is the common denominator of l and 31/3838?
15352
Su