
92
Let h(a) = -a - a + 0 - 1 + a. Let p be h(-16). What is the smallest common multiple of (p/9)/((-5)/(-15)) and 5?
5
Suppose 630 = 17*x - 14*x. Suppose 0 = 8*i + 34 - x. What is the least common multiple of 18 and i?
198
Let y = -16 - -14. Let v = 13 + y. Calculate the least common multiple of v and 50.
550
Let a(t) = 22*t - 5. What is the least common multiple of 12 and a(2)?
156
Suppose 10 = 3*i - 4*a, 3*i + 0*a - 7 = a. Suppose i*o + 0*o + 8 = 0. Let r = o - -11. What is the lowest common multiple of 10 and r?
70
Let v(s) = s**2 - 5*s - 3. Suppose -14*o + 9*o = -40. Calculate the least common multiple of o and v(8).
168
Let o = -15 + 39. Let s = -68 - -71. What is the smallest common multiple of s and o?
24
Calculate the lowest common multiple of 5 - (-7 + 2 + 6) and 1.
4
Suppose 0 = -5*y - 10, f - 5*y = 4*f - 8. What is the smallest common multiple of (-141)/(-12) + 3/(-2 + 14) and f?
12
Suppose 0 = -12*t + 7*t - 110. Let h = -13 - t. Calculate the lowest common multiple of 11 and h.
99
Let s = -771/590 - -24/59. Calculate the common denominator of (4/(-10))/(84/45) and s.
70
Let k = 31 + 45. Suppose 0 = -75*m + k*m - 21. What is the least common multiple of 12 and m?
84
Let t = 1071819/19510 - 72/1951. Suppose g = 5*y - 285, 5*g - 4*g = -y + 51. Let h = t - y. Calculate the common denominator of 103/20 and h.
20
Let u(g) = g**2 + 3*g - 1. Let p be u(-4). Calculate the common denominator of ((-44)/48)/11*94 and 402/8*(-1)/p.
12
What is the smallest common multiple of ((20 - 0) + -5)*1 and 48?
240
Let i(y) = -421*y + 8. Let n be i(6). Let h = -41453261/12 + 3456959. Let b = h + n. Calculate the common denominator of b and 3/7.
84
What is the common denominator of (-15)/(-195) + (-7604)/(-1872) and -19/198?
396
Let d = -3063/230 - -166/23. Let k(y) = -y - 5. Let x be k(-11). What is the common denominator of d and (-1323)/(-120) + x/(-15)?
40
Let i = 442 + -438. Calculate the least common multiple of 41 and i.
164
Let t = 4/7301 + 487687/2701370. Find the common denominator of t and 95/12.
2220
Let d be ((-1)/(-10))/(8/(-13536)). Let c = -15673/90 - d. What is the common denominator of 11/8 and c?
72
Let k be 6 + -6 + 8/2. Find the common denominator of 119/10 and k/6 + (-184)/(-84).
70
Suppose -540*a = -544*a + 112. Let l(u) = -u**2 - 6*u - 1. What is the smallest common multiple of l(-5) and a?
28
Calculate the common denominator of (1017/270)/((-6)/(-9)) and 109/14.
140
Suppose 7*g - 17*g = -200. Let o = 60 - 40. Calculate the least common multiple of o and (1 - 1)/4 + g.
20
Let y(a) = a**3 + 4*a**2 - 2*a + 1. Let p be y(-6). Find the common denominator of 1 - (p/(-4) + -1) and 46/3.
12
Find the common denominator of (-2163)/(-14)*(-5)/75*-1 and 86/15.
30
Let r = -96 + 129. Let d = 35 - r. What is the least common multiple of d and 7?
14
Suppose 0 = -o + 3*c + 35, -5*o + 4*c = c - 175. Suppose -o = -4*w + 13. Calculate the least common multiple of w and 20.
60
Suppose 3*s = 15 - 6. Suppose n - 3*m + 87 = 4*n, 93 = s*n + m. Suppose 3*p = 92 - n. What is the smallest common multiple of p and 4?
20
Suppose 0 = u + 4*u - 30. Suppose 48 = -5*s + 8*s. Suppose 13 = 2*j + d, 3*d = s - 1. Calculate the lowest common multiple of u and j.
12
What is the common denominator of (-17)/(119/28) + (-180)/(-22) and -50/17?
187
Let k = 16 - 21. Let x = 19 + -9. Calculate the lowest common multiple of x and -4 + 1 + (-55)/k.
40
Suppose -212 = -4*x - 2752. Let w = 872615/6 + -144819. Let n = w + x. Calculate the common denominator of -9/14 and n.
42
Let r be 3/5 + 194/10. Suppose r = -2*v + 4*v. Suppose 9*b - 152 = -10*b. What is the lowest common multiple of b and v?
40
Find the common denominator of 7/232 and 150/(-700)*(-651)/72.
464
Suppose 0 = -2*u + 2, -3*u + u - 113 = -5*s. Suppose 0 = 3*d - 4*b - s, -d - 2*b + 4 = 3. Calculate the smallest common multiple of d and 9.
45
What is the common denominator of ((-51)/238)/(-4 + (-1256)/(-322)) and 69/16?
32
Let z = 38 - 30. Suppose -3*u + u + g + 14 = 0, -3*u - 5*g = -z. Find the common denominator of (2/u)/((-40)/(-708)) and -55/2.
10
Calculate the smallest common multiple of 18 and (-64182)/(-95) + (-12)/20.
1350
Let l be 435/2*24/(-10). Let v = 2339 - l. Let y = v + -25712/9. Find the common denominator of y and 99/2.
18
Let j = -25/72 - -341/36. Let p = -714621/910 + -143106/65. Let d = p + 2983. Calculate the common denominator of d and j.
56
Let w = -56 + 64. Let r = 9 - -1. Calculate the lowest common multiple of r and w.
40
What is the common denominator of 69/8 and -4 - (16698/(-1740) - -6)?
1160
Calculate the common denominator of 91/244 and (-4970)/(-924) - (-3 - (-20)/6).
2684
Let p = 228 + -219. What is the lowest common multiple of 12 and p?
36
Let d be (-1)/(-3) + 46/6. Let r be 10/(-6) + 1/(-3). Find the common denominator of -56/9 and (-1)/r + (-37)/d.
72
Suppose 15 = 3*g + 33*b - 36*b, 0 = -3*g - 5*b - 1. What is the smallest common multiple of 408 and g?
408
Suppose -29*s + 317 = 56. Suppose 8*b - 3*b = 30. Calculate the least common multiple of s and b.
18
Let n = -841/5 + 9351/55. What is the common denominator of n and 414/(-4)*5/(-60)?
88
Let v = -856628650889/1106280 + 48783050/63. Let s = v + 14/439. Calculate the common denominator of 23/18 and s.
360
Let m = -253 + 72. Suppose 3*p + 7 = 5*p - 3*i, -p = -i - 3. Calculate the common denominator of -47/10 and p/3 - m/30.
10
Let y be (1194/(-9))/(2/(-6)). Find the common denominator of y/(-260) + (-32)/(-40) + 2 and -13/14.
182
Let r(w) be the second derivative of w**4/4 + 7*w**3/6 - 3*w**2/2 - 18*w. What is the smallest common multiple of 4 and r(-4)?
68
Suppose 3*n + 2*p - 50 = 0, n - 25 = -4*p - 5. Suppose -5*k - 4*x = -10, k - 5*x = -3*k + 49. What is the least common multiple of n and k?
48
Find the common denominator of -73/36 and 2*(-2054)/600 + 6.
900
Let b be ((-48)/30)/(2/(-5)). What is the common denominator of 53/18 and -3 + (82/(-12) - b)?
18
Let u = -1 + -9. What is the common denominator of 85/(-26) + -2 + 3 and 34/55*2*u/(-16)?
286
Let d = -649 + 655. Let u be 1/(-2*2/52). Let n = 1 - u. Calculate the smallest common multiple of d and n.
42
Calculate the least common multiple of 23 and 2*(10 + -8 + 6).
368
Let m = -103463/33776 + 3/4222. Find the common denominator of 55/32 and m.
32
Suppose 0 = -g + 4*r - 12 - 13, 29 = -5*g - 4*r. Let z(v) = -v**3 - 10*v**2 - 7*v + 20. Calculate the lowest common multiple of z(g) and 1.
2
Let h = 36/2213 - 280513/239004. Calculate the common denominator of h and 49/54.
108
Let c(p) = p + 4. Let r = 27 - 29. Calculate the least common multiple of 2 - (-2 - -2) - (r + -18) and c(6).
110
Let y(u) = -8*u - 3. Suppose 5*x = 2*v + 3*x + 6, -3*v + 2*x - 9 = 0. Let l be y(v). What is the common denominator of 121/10 and 10/(-20)*l/(-11)?
110
Let r be (-46407)/2772 - (-2)/14. Let h = -68/11 - r. Find the common denominator of h and -89/12.
12
Suppose z = -1 + 6. Suppose -z*a + x = 3*x - 32, a + 4*x = -8. What is the lowest common multiple of a and 14?
56
Suppose 6 = 3*h - 21. Let w(z) = -z**2 - 2*z. Let c be w(h). What is the common denominator of 4 - 0 - (-585)/c and -21/10?
110
Let d(f) = -f**3 + 3*f**2 + 2*f - 2. Let s(h) = 4*h**3 - 13*h**2 - 8*h + 8. Let j(t) = -18*d(t) - 4*s(t). Calculate the lowest common multiple of 10 and j(2).
20
Let t = -62586/11 + 11387/2. Let q be -12 + 3*6/9. Find the common denominator of t and 5/q - (-57)/(-16).
176
Suppose 0 = 10*k - 5*k - 10. Suppose -16 = -0*t - k*t - 4*c, 5*t - 100 = 2*c. What is the lowest common multiple of 4 and t?
36
Let p = 14478 - 231729/16. Let q = -89877/10 - -9000. Calculate the common denominator of p and q.
80
Let j = -129504919040881/5168 + 425935912862/17. Let g = 3947660 + j. Let l = g + 75/19. Find the common denominator of 15/2 and l.
16
Let w = -89 - -49. Let k = 49 + w. Suppose 0 = -4*h + 4*v - 8, -2*h = h + 5*v - 34. Calculate the smallest common multiple of h and k.
9
Let d = -11753/1940 + 156/97. Calculate the common denominator of -99/20 and d.
20
Suppose j - 2 = -22. Calculate the common denominator of j/(-72)*(1 - 122/8) and 1/11.
264
Let q = -1137/70 - -73/5. Calculate the common denominator of q and ((-2)/(-4))/((-6)/(-23)).
84
Let j be (-21 - -1)/(1/(-668)). Suppose d + j = -d. Let u = d + 40193/6. Calculate