585
Suppose 4*p - 533 = -v, 0*p - 3*p + 4*v + 376 = 0. What is the lowest common multiple of p and 30?
660
Let r(p) = -22*p + 696. What is the smallest common multiple of r(29) and 10?
290
Let c be (78/4)/(-3)*-2. Let y(z) = -2*z**3 - 9*z**2 + 7*z + 1. Let x be y(-5). Let s = c - x. Calculate the lowest common multiple of 14 and s.
154
Let x(s) = -s + 7. Let c be x(5). Suppose -3 = -c*f + 1. What is the lowest common multiple of f and 14?
14
Let h = -330 - -340. Calculate the least common multiple of h and 526.
2630
Suppose -12*u + 25 = -7*u. Suppose 31 = u*q - x, 3*q - 20 = 3*x - x. Suppose 3*r + l - 7 = 0, 2*r + q = -4*l - 6. What is the least common multiple of r and 9?
36
Let w = 1/17605 + -144381/352100. Find the common denominator of -17/88 and w.
2200
Suppose 4*m + 44 = 8*m. Suppose f = a, 4*a - 3*f + 4 = 2. Calculate the smallest common multiple of m and (-2 - a) + (-30)/(-6).
55
Let w = -4/1133 - 114401/9064. Find the common denominator of ((-1)/74)/((-1)/(-56)) and w.
296
What is the smallest common multiple of 40 and (-16)/(2*(-1)/5)?
40
Let m(o) = 10*o + 369. What is the smallest common multiple of m(-19) and 10?
1790
Let g(v) = v**3 - 5*v**2 + v + 31. Calculate the lowest common multiple of g(5) and 96.
288
Let j = -1073/35 + 258/7. Let c = 317/6213 - -4/109. Let s = 721/228 + c. What is the common denominator of s and j?
20
Let q(a) = 2*a**3 + 7*a**2 - 15*a + 6. Let d(x) be the third derivative of -x**6/30 - x**4/12 + x**2. Calculate the smallest common multiple of d(-2) and q(-5).
36
What is the common denominator of (16/(-18))/(2/(-17)) and 4 + -1 + 28/(-22)?
99
Suppose -640 = -2*s + 3*y, 2*y - 1091 + 431 = -2*s. Calculate the smallest common multiple of 12 and s.
1956
Let d = -2/487 + 8283/974. Calculate the common denominator of d and -20/1153.
2306
Let h = 70148 - 14450529/206. Find the common denominator of h and 67/10.
1030
Let s = 6 - 18. What is the common denominator of 5/7 and 158/s - (-4 + 3)?
42
Let v = 177 - 159. Calculate the smallest common multiple of v and 42.
126
Suppose -52 = -11*p + 102. Suppose 5*t - 50 = -5*j, 3*j - 4*j + 5*t = 20. Suppose -j = -2*z + 23. What is the lowest common multiple of z and p?
14
Let l(s) = s + 2. Let j = -1 + -1. Let n be l(j). What is the common denominator of 330/18 - (-3 + n) and -3/5?
15
Let d = -5235282 - -57626572/11. Let t = -2679 + -815. Let k = t + d. Calculate the common denominator of k and 87/8.
88
Suppose -l - 3*l - 29 = -3*q, 0 = -4*q - 3*l + 22. Suppose 14*g - 51 = 75. Calculate the lowest common multiple of q and g.
63
Let a be -1 + (4971/(-10))/3. Let p = -168 - a. Let v = -53/10 - -397/15. What is the common denominator of v and p?
30
Suppose -5*r = 4*n + 667, r - 444 = 4*n + 253. Let i = n + 6911/40. Find the common denominator of i and -55/16.
80
Let a = -47 + 49. Find the common denominator of 20/8 - a - 321/126 and -103/6.
42
Let m = -16136 - -4647163/288. Let o = m + -2711/1440. Let p = -2/2987 - -182225/26883. What is the common denominator of o and p?
90
Let q = 34 - 33. Suppose 2*f + q = 3*f. Calculate the least common multiple of f and 11.
11
Let t be ((-7)/14)/((-1)/10). What is the least common multiple of 3 and (-36)/(-20)*(10 - t)?
9
Let n(u) = -12*u - 42. Let j(b) = -2*b - 11. Let c be j(-3). Calculate the lowest common multiple of 4 and n(c).
36
Suppose -92 = -4*b + 4*h, 7 = -b - 0*b - 5*h. Let f(o) = o**2 + 20*o - 1032. Calculate the lowest common multiple of f(-44) and b.
72
Let g = 28889407/347 - 83255. Let z = -34181/6940 + g. Calculate the common denominator of -89/2 and z.
20
Let q be -9 + 3 - (0 - -3). Let r be 148/(5 - q/(-3)). Calculate the common denominator of -9/2 and r/14 + (0 - 1).
14
Let q(t) = -t**2 - 11*t - 45. Let d be q(-8). Find the common denominator of -26/11 and 772/(-120) - d/35.
66
Suppose -6*q = -11*q + 56815. Let t = q + -113533/10. Calculate the common denominator of t and 107/10.
10
Suppose 0*t + t + 2 = i, t = 5*i - 26. What is the smallest common multiple of i and (5 - 6/12)*(2 - 28/(-6))?
30
Calculate the common denominator of -99/196 and (-44429)/3430 - 117/(-9).
980
Suppose 3*b - 4*v - 10 = 4*b, 0 = -b - 3*v - 15. What is the smallest common multiple of (-230)/b - (-1)/3 and (-10)/(-55) + (-40)/(-22)?
8
Suppose 0 = 7*y - 3*y - 8. Let b = -84 - -94. Suppose 0 = -0*n + n + 2*x, -y*n + x + b = 0. What is the smallest common multiple of 10 and n?
20
Find the common denominator of (111/63)/(6/(-9)) and 2735/(-350) - (-4)/(-14).
70
Suppose -5 = -i - 2*p + 10, 2*i - 4*p - 6 = 0. Suppose -4*y + 7 = -i. Let t = 13 + y. What is the lowest common multiple of t and 9?
153
Let c = -1289/504 - 20/63. Find the common denominator of c and -17/22.
88
Find the common denominator of 27/144*(-11)/(-30) and 31/72.
1440
Suppose 0 = -8*n - 101 + 277. What is the lowest common multiple of n and 698?
7678
Suppose -3*t + 6 = 3*q - 3, 3*t - q = 21. Let m = 51 + -24. Let b = m + -16. What is the lowest common multiple of b and t?
66
Suppose 4*i + i - 5*r + 8200 = 0, 0 = -3*i - 4*r - 4955. Let t = 44434/27 + i. What is the common denominator of t and -61/24?
216
Let j(z) = -z**2 + 11*z + 4. Suppose 2*m = -m + 42. What is the lowest common multiple of j(9) and m?
154
Suppose 4*n - 48 = 4*l, -5*n - 2*l + 30 = 3*l. Let s = n + 0. Calculate the smallest common multiple of 3 + -3 - (-2 - 8) and s.
90
Let t(x) = -x**2 + 2*x + 4. Let q be t(3). Suppose -2*r = -q - 7. Let d = r - -4. What is the least common multiple of 8 and d?
8
Let n be 0 + 0 + 6/(-23606). Let l = n - -1026921/236060. Calculate the common denominator of l and 6076/(-264) - 2/(-11).
60
Suppose 67 = 5*k - 3*k + 5*u, 4*u = 4*k - 64. Let l = k - -3. Calculate the least common multiple of l and 12.
24
Find the common denominator of ((-460)/24)/(5/((-15)/6)) and 19/2.
12
Let y(f) = 2*f**2. Let x be y(1). Suppose -2*t - x = -20. Calculate the lowest common multiple of 2 and t.
18
Suppose -2*m + 4*y = 2*y - 76, -2*m = 3*y - 66. Let a = m + -68. Let h = a - -36. Calculate the lowest common multiple of 16 and h.
16
Calculate the common denominator of -83/36 and -11 - -9 - (-1 - 355/480).
288
Let i(d) = 9*d**2 + 442*d + 0 - 442*d + 1. Suppose 0 = k - 1 - 0. Calculate the smallest common multiple of i(k) and 14.
70
Let k(t) be the third derivative of -t**6/120 + 4*t**5/15 + 17*t**4/24 + t**3/2 + 9*t**2. What is the smallest common multiple of k(17) and 21?
21
Calculate the smallest common multiple of -8 - -5 - (-6 + (5 - 4)) and 8.
8
Calculate the common denominator of 504/160*(-18)/(-7) and -113/36.
180
Let i be 20/(-70) - 396/(-14). What is the common denominator of -16/11 and i/24*(270/(-16))/(-5)?
176
Let p be -1 - 0 - (-2 + 0). Let z be p + (-7 - -2)*-16. Find the common denominator of 9/6*(-15)/z and 65/4.
36
Let m be 30*-3*(-20)/(-45). Let p = m + 42. Calculate the lowest common multiple of p and 4.
4
Suppose u + g = -3, -u - 11 = 4*u + 3*g. Suppose -4*d + 3*t - 12 = -7*d, 4 = 3*d - 5*t. Let r = d - u. What is the lowest common multiple of r and 10?
20
Suppose 0 = -4*j - 3*m + 1659, 3*j - 488 - 778 = 5*m. Calculate the smallest common multiple of 12 and j.
1668
Suppose 0 = -15*o + 12*o + 18. Suppose 4*u + 7*u = 154. What is the least common multiple of u and o?
42
Let w = -30 + 27. Find the common denominator of -69/8 and w*(-1)/((-54)/(-177)).
24
Let c be ((-5)/(-4))/((-7)/2582908). Let k = 462018 + c. Let i = 782 - k. Find the common denominator of -43/6 and i.
42
Let o(k) = -k**2 + 15*k - 10. Let v be 52/8*(-2 + 6)/2. Calculate the lowest common multiple of 6 and o(v).
48
What is the common denominator of 3615/(-936) + (-30)/(-195) and (4/((-16)/284))/(-8)?
24
Let h = -384809/18 + 21384. Let g(m) = m**3 - 12*m**2 + 12*m + 1. Let f be g(11). Calculate the common denominator of h and 1918/f*2/14.
18
What is the least common multiple of 117 and 153 - (1 - -7) - 2?
1287
Let s = 2046 + -16325/8. Let x = 8179/2 - 4079. Calculate the common denominator of x and s.
8
Let h = 11 + 7. Let x = 103 + -59. Suppose -28 = -4*f + x. What is the smallest common multiple of h and f?
18
Suppose 2*q + 2*q - 8 = 0. Let k = -840 + 846. Calculate the smallest common multiple of 3/(q + 34/(-20)) and k.
30
What is the common denominator of 143/18 and (-1008)/96*(-33)/196?
504
Suppose -61 = -2*d - 5*f, 26