 What is the smallest common multiple of f and p?
18
Let j be ((-8)/(-12))/((-2)/33). Let d = -23 + j. Calculate the common denominator of 75/(-54)*d/10 and 7/8.
72
Let n = 88308583/10 + -8822686. Let y = -8164 + n. Calculate the common denominator of -17/46 and y.
230
Let b be 1 + 31 - (0 + 0). Let f(z) = z**3 - 71*z**2 + 203*z + 46. Let p be f(68). Let k = p + b. What is the lowest common multiple of k and 7?
70
Let f(u) be the first derivative of 11*u**2/2 - 2*u + 5. Let l be f(6). Suppose l = -5*g + 224. Calculate the smallest common multiple of 20 and g.
160
Let q = -20479 - -62788613/3066. Let k be (1 + 132141/297)/((-6132)/45). Let i = q + k. What is the common denominator of i and -47/10?
110
Suppose 0*x - 5*x + 1817 = 3*f, -3017 = -5*f + 3*x. Find the common denominator of (4 + -3)/(24/f) and -65/24.
24
Suppose 21375 = 3*d + 3*y, 3*d - 3*y = 27054 - 5709. Let a = d - 99635/14. Let z = -11917/3087 + -1/1372. What is the common denominator of z and a?
252
Let f = 64 - 60. What is the smallest common multiple of (f - -6) + 1 + -2 + -2 and 28?
28
Let a = -37357/16 + 2334. Calculate the common denominator of a and 5/6.
48
Let r be (-2 - -7*3)/1. Let u = r - 22. Calculate the common denominator of (u/(-30))/((-6)/205) and 85/14.
84
Suppose 3*a - 2*a - 5*o - 13 = 0, o + 35 = 2*a. Suppose 3*b - 2*l - a = 0, 3*b - 7*b - l = -35. What is the least common multiple of 28 and b?
56
Let h = 0 + 0. Let a = 10 + h. Suppose -2*y = -x + 14, -2*y = 4*x - 0*y - 6. Calculate the lowest common multiple of a and x.
20
Let c = 617/9 + -6587/90. Calculate the common denominator of -73/33 and c.
330
Let s(a) = 6 - 4*a**2 + 2*a**2 - 2*a**2 + 4*a**3 - 5*a**3 + 5*a. Let i be s(-6). Calculate the common denominator of 125/12 and 74/i - 1/(-3).
24
Let q = 96 - -342. Let b = q + -1336/3. Calculate the common denominator of b and -40/33.
33
Let l(b) = b - 23. What is the smallest common multiple of l(25) and 9?
18
Let c = 9 + -34. What is the smallest common multiple of ((-3)/5 + 1)/((-1)/c) and 18?
90
Let r = -725/2 + 1141. Let j = -798 + r. Calculate the common denominator of j and -24.
2
Let i = -22555/12 - -1878. What is the common denominator of i and 67/138?
276
Suppose -399*m + 404*m = 275. Calculate the smallest common multiple of m and 22.
110
Let u(q) = 5*q. Let o = -56 + 59. What is the lowest common multiple of u(o) and 9?
45
Let m = -13038 + 599773/46. What is the common denominator of m and (-623)/(-220) - ((-12)/33)/(-2)?
460
Let o = -88 + 94. Suppose 0 = 8*d - 14*d + o. What is the smallest common multiple of d and 54?
54
Let y(h) be the first derivative of -h**3/3 - 6*h**2 - 4*h + 35. Calculate the least common multiple of 32 and y(-8).
224
Let v(g) = g**3 - 9*g**2 - 10*g - 2. Let p be v(11). Let a be (-57499)/p*(-10)/36. Let h = a + -483/4. What is the common denominator of 53/3 and h?
9
Let y = -468/37 - -31609/74. Let a = y - 392. Calculate the common denominator of a and (-681)/(-36) + 2/6.
4
Suppose 14*t - 20 = 8. Calculate the smallest common multiple of t and 109.
218
Let s = -3113711/54 + 57663. Calculate the common denominator of s and 9/42*((-218)/6 - 2).
378
Let b(g) = 2*g**2 + 2*g - 2. Let a be b(2). Calculate the common denominator of -53/16 and (-102)/(-660) + 8/a.
176
Let m = 2767 + -4146. Calculate the common denominator of -87/22 and 1/(-4) + m/(-196).
154
Let g = -167/2 + 75. Find the common denominator of -75/16 and g.
16
Let j = -57 - -57. Suppose i - 6*i + 30 = j. Calculate the least common multiple of 6 and i.
6
Calculate the common denominator of (1/(-36))/(800/(-14080)) and -31/183.
2745
Let o be (-3)/(-6)*(-5554)/5. Let n = 1109 + -559. Let m = o + n. What is the common denominator of 47/9 and m?
45
What is the common denominator of 2733/162*2/(-17) + 2 and 149/18?
918
Let m(h) = 15 + 7 - h - 9 + 2. Let r = 6 - 1. What is the smallest common multiple of r and m(2)?
65
Calculate the common denominator of 12 - (-1845)/(-395) - (-7)/(-1) and 1/10.
790
Let h = -283 - -257. Let o = -19 - -49. Let t = h + o. What is the smallest common multiple of t and 18?
36
Suppose 0 = 83*h - 78*h - 90. Suppose 0 = 3*b + 2*o - 96, b - 84 = -2*b + 2*o. Calculate the smallest common multiple of h and b.
90
Let m = 1111 - 1005. Calculate the lowest common multiple of m and 28.
1484
Suppose -x + 4*y = -11, 5*x + y = -10 + 107. Let q(c) = c**3 + 4*c**2 + c + 3. What is the least common multiple of q(-3) and x?
171
Let m(x) = -x**3 - x**2 + x + 10. Let r be (10/15)/((-3)/(-18)). Let s = 2 + r. Calculate the smallest common multiple of m(0) and s.
30
Let h = 533/2 - 283. Find the common denominator of h and ((-2)/(-72))/((-3)/426).
18
Let z = 83489643/350 + -238542. What is the common denominator of 31/350 and z?
350
Suppose 10 = x - i, -5*i = -2*x - 0*i + 26. Let p(h) = -4*h**3 - h**2. Let w be p(-1). Let z = 25 - w. Calculate the lowest common multiple of x and z.
88
Let n = -4/1029 - -50437/4116. What is the common denominator of n and -73/32?
32
Suppose 0 = -13*z + 88 + 224. Calculate the smallest common multiple of 144 and z.
144
Let b be 3/(2 + (-14650)/7326). Let s = b + -637313/58. Calculate the common denominator of -77/10 and s.
290
Suppose -3*i = -2*t + 46, t + 4*i - 18 = 16. Suppose 2*u = 5*z - 72, -3*u - 6 + 31 = 2*z. Calculate the lowest common multiple of t and z.
182
Let x(y) = y**2 + 13*y - 13. Let t be x(-14). Find the common denominator of 46/27 and 147/(-6)*t/(-3).
54
Let w(d) = d**2 - 7. Let g be 1 + 2 + -3 + -5. Let u be w(g). Calculate the common denominator of 3 - (u/5)/(-1) and -67/9.
45
Suppose 0 = -3*u - 4*y - 2 - 15, -u - 11 = 4*y. Calculate the common denominator of u*(3 - 412/84) and (13/5)/(9 - 7).
70
Calculate the lowest common multiple of 4*(-15)/10 - -8 and 24.
24
Calculate the common denominator of 83/24 and 6 - (-137)/(-6) - 4/(-6).
24
Let g = -1 - -5. Suppose g*a - 3 = 7*a. Calculate the least common multiple of 12 and (-423)/(-36) - a/4.
12
Suppose 8*r - 27 - 5 = 0. Suppose 19 = 3*u + 5*v, -r*u - v - 16 = -47. Calculate the least common multiple of 11 and u.
88
Let l be 373578/(-32) - 1/4. Let t = l - -11669. Let m = -1436 - -2869/2. Find the common denominator of m and t.
16
Suppose -15*n = -5*n - 200. What is the lowest common multiple of 304/14 + 2/7 and n?
220
Suppose 0*q = n + 5*q - 9, 21 = -3*n - 3*q. Let y(i) = i**3 + 10*i**2 - 14*i + 15. Calculate the least common multiple of 6 and y(n).
48
Let j = 563 + -1069/2. Calculate the common denominator of j and -29/44.
44
Let d(z) = 50*z**2 + 3*z - 1. Let o = 25 + -24. What is the lowest common multiple of 10 and d(o)?
260
Suppose 86*b - 88*b = -240. What is the least common multiple of 132 and b?
1320
Calculate the lowest common multiple of 120/10 + 27 + 9 and 224.
672
Suppose 4*y + y = 0. Suppose -5*r + 90 = -5*h, -h + y*r - 10 = r. Find the common denominator of 1/14 and 1227/84 + (-2)/h.
28
Suppose 9*t - 110 = 25. Suppose -3*g + 0*g + t = 0. What is the lowest common multiple of 2/(-5) + (-222)/(-30) and g?
35
Let t = 506997/20 + -25356. Let w = 3277/720 + 41/240. What is the common denominator of t and w?
180
Suppose 0 = 5*h + 10*z - 8*z - 52, h + 8 = -5*z. Let u = -3 + 5. Suppose u*k = -k + 36. What is the lowest common multiple of h and k?
12
Let t = 42 + -28. Suppose 0 = -4*g - 5 + 13. What is the least common multiple of t and g?
14
Let k(i) = -2*i**2 - i + 22. Let l be k(0). Suppose -l - 138 = 5*x. Suppose -31 = -3*m + 4*m. Calculate the common denominator of x and m.
1
Suppose 13*u + 1179 - 5274 = 0. Calculate the least common multiple of u and 35.
315
Let f = -9739/18 - -541. Let o = -150535/12 + 12533. What is the common denominator of f and o?
36
Calculate the common denominator of 19/54 and (-348)/(-40)*55/143.
702
Suppose 3*t + 37 = 4*j, 0 = -0*j + 3*j - t - 29. Let c = -37 - -42. Suppose c*q - 24 + 4 = 0. What is the lowest common multiple of q and j?
20
Let b be 6/9 + 8826/(-9). What is the common denominator of -13/6 and 2/(-14) + (-3913)/b?
60
Let j = -13473 - -188729/14. Let s = 3/1300 + -96913/27300. Find the common denominator of j and s.
42
Let g = -570 - -606. Calculate the least common multiple of g and 36.
36
Let b = 948 + -756. What is the lowest common multiple of 27 and b?
1728
Let z = -15101/6 + 2498. Let g = -7862577/2905 + 432