5
Let r = 71 - 53. Suppose r = 13*n - 4*n. Calculate the smallest common multiple of 9 and n.
18
What is the least common multiple of 9/(675/(-30)) + 664/10 and 9?
198
Let f be (-36)/24*32/(-6). Suppose 32 = t - f. Suppose 5*v - 3*w - t = 0, v = 6*v + 3*w - 10. What is the lowest common multiple of 6 and v?
30
Let s = 2969/30910 - 9/110. Let q = s + 12043/2810. Calculate the common denominator of q and 8/45.
90
Suppose -6 = -3*t + 27. Suppose 7*z = t*z + 7112. What is the common denominator of 31/8 and (z/(-63))/((-8)/(-6))?
24
Suppose 0 = -g - 4*g. Suppose g = 3*j + 2*j. Calculate the lowest common multiple of 22 and -23*(j - 1) + -3.
220
Suppose 39*y - 44*y - 4*o + 109 = 0, 2*y = o + 41. Calculate the least common multiple of 35 and y.
105
Let g be -1 + (-16)/(-4) - -61. What is the lowest common multiple of 16 and (-44)/66 - g/(-6)?
80
Suppose 5 = 4*k - 31. Let b = 9 - k. Suppose 3*t - 3 = -b*t. What is the least common multiple of 7 and t?
7
Let g = 14 - 0. What is the smallest common multiple of 2*(-54)/48*24/(-9) and g?
42
Let n(x) be the third derivative of 2*x**5/15 + 6*x**2 - 6. What is the smallest common multiple of 59 and n(-1)?
472
Let z = -4833640292171 + 11276993975361914606/2333023. Let w = z - -4/5173. Let m = 3/41 + w. What is the common denominator of m and 17/5?
55
Let a = -413855/1335656 + 1/14518. What is the common denominator of a and -61/16?
368
Let z = -16 + 2. Calculate the smallest common multiple of 14 and 14/(-1)*z/14.
14
Let x = -142 - -137. What is the common denominator of -73/36 and x + (-380)/(-75) + -2?
180
Suppose 5*r = 16 + 4. Suppose 4*s + f + f + 14 = 0, -r*f + 50 = -5*s. Calculate the lowest common multiple of (-98)/s - (-1)/(-3) and 40.
80
Let h(c) = -3*c + 15. Let o be h(3). Find the common denominator of o/42 - 10/4 - -3 and 31/10.
70
Let f(b) = -22*b**3 + 4*b - 4. Calculate the smallest common multiple of f(-2) and 16.
656
Let k be ((1 + -3)/(-2))/(-1). Suppose -2*f + 24 = 3*f - 2*c, -4 = -2*f - 2*c. What is the lowest common multiple of (k/2)/(5/(-90)) and f?
36
Let m(c) be the third derivative of -c**5/60 - 5*c**4/24 + 2*c**3/3 + 5*c**2. What is the smallest common multiple of 8 and m(-4)?
8
Calculate the common denominator of (1580/100 - 4)/(0 - 1) and -133/54.
270
Let l(w) = w**3 - 5*w**2 + 7*w + 3. Calculate the lowest common multiple of l(3) and 21.
42
Let h be 586/6 - 1/(-3). What is the common denominator of 109/6 and (-14)/h*(-114)/(-4)?
42
Let a = 33771/1930 - -2/965. Suppose -2*r - 2*x = 2*x - 7716, x = -4*r + 15418. Let q = -38503/10 + r. Find the common denominator of q and a.
10
Let f(i) = -47*i - 217. Calculate the lowest common multiple of f(-5) and 90.
90
Suppose 5*o - 9 = v, 4*v + 4 = 8*o - 4*o. What is the common denominator of o/12*44/4 and (-32)/80 + 112/30?
6
Suppose -12 + 124 = 2*s. Suppose s = 5*h - h. Let q = 40 - 22. Calculate the smallest common multiple of q and h.
126
Let o = 176 + -173. Calculate the least common multiple of o and 15.
15
Suppose 0 = 5*d - 5, -17 + 3 = -3*i - 2*d. Suppose -i*u - 67 = -w + 25, -u - 4 = 0. What is the lowest common multiple of 11 and w?
836
Let a = 1/464 + 16469/1392. Calculate the common denominator of -34 and a.
6
Let g be (0/3)/4 - -4. Suppose a = q - g*a + 22, 18 = -q + 3*a. Find the common denominator of (q/(-22))/((-12)/(-87)) and -37/22.
22
Let g = 35 - 15. Let h be (-4)/(-6) + 129/9. Suppose 3*k = -d - 6, d - 2*k = -1 + h. What is the smallest common multiple of d and g?
60
What is the common denominator of -65*2/56 + 2 + 2 and 79/98?
196
Suppose 0 = -4*i - 4, -c + 3*c + 5356 = 4*i. Let h = 8348 - c. Let p = 132443/12 - h. Calculate the common denominator of p and 9/34.
204
Let p(c) = -11*c + 69. What is the least common multiple of 155 and p(4)?
775
Suppose -4*p + 4*f = -0*f + 12, 3*p - 4*f = -11. Let h = 1 - p. Suppose -56 = -h*i - 2*i. What is the least common multiple of i and 8?
56
Let n be 8 + 4*(-2 + 1). Suppose -5*f + 10 = -2*l - n, -3*f + 3*l = -3. Suppose r = -r + f. Calculate the smallest common multiple of 14 and r.
14
Let v = -111960 + 78036089/697. What is the common denominator of -47/7 and v?
4879
Let n = 4261/2448 + 11/153. Find the common denominator of -19/12 and n.
48
Let v(x) = 2*x**2 + 4*x - 5. Let a be v(-4). Suppose 21 = 4*r - a. Suppose -r = 2*k - 4*k. What is the smallest common multiple of k and 4?
4
Let n = 2493/416 - -29/416. What is the common denominator of n and -77/758?
6064
What is the lowest common multiple of 27 and (-313)/(-2) + 490/(-140)?
459
Let w(a) = -2*a**2 + 16*a + 12. Calculate the smallest common multiple of 138 and w(8).
276
Suppose p - 3*i + 335 + 299 = 0, 0 = -3*i - 3. Suppose 3*b - 3*v + 10 = 4, 4*b = -2*v - 2. What is the common denominator of -20 and b + 0 - p/(-42)?
6
What is the common denominator of 672/8784*(0 + -9) and 61/3?
183
Let c(a) = -a - 8. Let x be c(0). Let m = x + 18. Let k(p) = p**3 - 19*p**2 - p + 27. Calculate the lowest common multiple of m and k(19).
40
What is the common denominator of -49/6 and (-67)/3*47/1081?
138
Calculate the smallest common multiple of 48 and (-2285)/(-85) + (-4)/170*-5.
432
What is the common denominator of 6 + ((-2280)/250)/2 and -23/35?
175
Let c be 68/(-18) - (-2)/(-9). What is the smallest common multiple of 18 and (-12)/(-4)*c/(-1)?
36
Let c be 2 + -1 + (-4554)/296. Let y = c + 668465/444. Let a = -1488 + y. Find the common denominator of 71/20 and a.
60
Let o(b) = b**3 - 17*b**2 - 18*b + 2. Let k be o(18). Suppose 5*i = c - 3 - 4, 3*c - 8 = k*i. What is the lowest common multiple of c and 20?
20
Suppose 4*m + 215*u = 210*u + 108, m - 3*u - 10 = 0. Calculate the least common multiple of m and 484.
484
What is the common denominator of 15/75*(-1070)/12 + -3 and -109/30?
30
Let u be 8/5*(-710)/(-129). Let w be (-1119)/1548 + (-3)/(-4). Let s = w + u. Find the common denominator of s and -49/10.
30
Let a = -1751569/50 + 35029. Calculate the common denominator of a and 49/90.
450
Suppose -4*t + s + 17 = 0, -5*t + 21 = 4*s - 5*s. Suppose b - 4 = h + 1, -2*h + 14 = t*b. Calculate the smallest common multiple of 4 and h/2 - 291/(-6).
48
Suppose 3*b - 25 = -5*u - 2*b, 3*u = 5*b + 55. Suppose -43 = 5*d - 138. What is the lowest common multiple of u and d?
190
Let m = -315 + 13. Find the common denominator of (-12)/(-36) + m/(-48) and 56/5.
40
Let r(s) = 2*s**2 + 11*s + 1. Suppose 0 = 3*k - y - 26, 0*y = -4*k + 3*y + 38. What is the smallest common multiple of r(-6) and k?
56
Let x = 4 - -2. Let h(l) be the second derivative of -l**5/20 - l**4/3 + 2*l**3/3 - l**2 - 7*l. Calculate the smallest common multiple of x and h(-5).
6
Suppose 0 = 4*s + 3*f - 43, -2*f - 8 = -5*s + 4*s. Suppose 4*b = 1 + 7. What is the smallest common multiple of 17 - b*1/(-2) and s?
90
Let n(h) be the first derivative of 329*h**3 + 2*h - 14. Let k be n(2). Let m = k - 47275/12. Find the common denominator of m and 21/5.
60
Suppose -19*k = -983 - 4451. What is the smallest common multiple of 208 and k?
2288
Let n(i) = -i - 4. Let x be n(-7). Let g(t) = -t**3 + 4*t**2 - t + 1. Suppose -3 = -5*z + 47. Calculate the least common multiple of g(x) and z.
70
Find the common denominator of 1387/1022 + (-1)/(-1 + 0) and 59/530.
3710
Let i = 200 + -136. Let z = 85 - i. What is the lowest common multiple of z and 21?
21
Let g = -1383396947/88 - -15720213. Let d = -1645/8 - g. Find the common denominator of -64/9 and d.
198
Let m = 1/37596 + 46980901/18798. Let u = m + -2513. Let b = 11/14 - -65/42. What is the common denominator of u and b?
12
Let r(m) = 11*m - 5. Suppose -4*b - 2 = -5*b. Let k = 9 - b. What is the lowest common multiple of k and r(1)?
42
Let s = -474187/86505816 + 10/25931. Find the common denominator of 39/20 and s.
16680
Let y = 21 - 16. Suppose 0 = y*w + 4*u - 41, -u = 5*w - 47 + 3. Calculate the least common multiple of w and 10.
90
Suppose 0 = -v - 4*b + 196, b - 580 = -3*v - 3*b. Let i = 447/2 - v. Find the common denominator of 21/92 and i.
92
Let h = 12 + -11. Let b be 3 - (2/(-8) - 10/(-8)). Suppose r - 13 = -b. Calculate the lowest common multiple of h and r.
11
Let a = -595225/3108 - -7038/37. What is the common denominator of a and 53/42?
84
Let w = 220 + -88. Calculate the least common multiple of w and 28.
924
Let j = -553 + 567. Calculate the