) = c**2 - 9*c + 2. Let r be q(6). What is the lowest common multiple of -3 - r - ((-12)/(-3) + -1) and 17?
170
Let h be (-4 - (2 - 6))/(2 - 4). Suppose -6*b + 9*b = 2*c - 5, h = -3*c + 2*b + 20. Calculate the smallest common multiple of c and 10.
10
Calculate the common denominator of 290/(-150) - (1 + 3) and 83/30.
30
Let l(j) = j**2 + 7 - 7*j + 0*j - j. What is the least common multiple of 4 and l(8)?
28
Let o(s) = -s**3 - s + 52. Let l be o(0). Let c = 76 - l. What is the lowest common multiple of c and 18?
72
Calculate the common denominator of -77/24 and 12/(-8) + (3/(-72) - -1).
24
Let r = -11 - -13. Suppose 9 = -o - d + 47, 0 = r*o - 3*d - 66. What is the common denominator of 47/8 and 8/o - (-140)/18?
8
Let p(z) be the first derivative of 3*z**2/2 + 5*z - 8. Find the common denominator of -11/6 and p(12).
6
Calculate the common denominator of (-2)/3 - 7884/(-2835) and -73/4.
140
Let x = -26 - -30. Let y(o) = 2*o**2 + 19*o + 4. What is the smallest common multiple of x and y(-10)?
28
Suppose 19*a - 135 = -78. Calculate the lowest common multiple of 107 and a.
321
Suppose 3*a - 12 = 2*m, -2*m - 16 = -4*a + 2*m. Suppose -5*q + a*n = 6, -2*n = -4*q - 5*n + 20. What is the least common multiple of 20 and q?
20
Let u = 2521934 + -854941288/339. Let y = 4/113 + u. Find the common denominator of y and -59/7.
21
Let n = -246 + 282. What is the smallest common multiple of n and 30?
180
Let r be 2/(5/((-100)/8)). Suppose 28 = 2*x - 2*a - 2*a, 6 = 3*a. What is the lowest common multiple of x and (36/(-15))/(2/r)?
18
Suppose -2*n + 2 = o, o - 1 = 7*n - 8*n. Calculate the least common multiple of 4 and (-14)/(((-21)/(-6))/(-7) + o).
28
Suppose 5*n - 3*r + 41 + 219 = 0, -5*r = -25. What is the common denominator of -83/8 and (-1178)/84 - (-7)/n?
24
Suppose 0*d + 8*d - 80 = 0. Suppose -4 = -7*j + d. Calculate the least common multiple of 10 and j.
10
What is the common denominator of 2/(-100)*1062/18 and -113/50?
50
Suppose -p + 124 = 2*n + 2*p, -3*n + 152 = -4*p. Let a = 88 - n. Calculate the least common multiple of 20 and a.
160
Let p = 1/1550 + 44167/12400. Find the common denominator of p and 9/8.
16
Suppose 3*s - 5*s = -18. Let u(y) = y**2 - 9*y + 2. Let k = 10 - -1. Calculate the smallest common multiple of u(s) and k.
22
Let q(w) = w**2 - 7*w - 18. Suppose -61*h = -5*h - 672. What is the lowest common multiple of h and q(10)?
12
Suppose 0 = -44*y + 54*y - 1980. What is the lowest common multiple of 63 and y?
1386
Let j be (7/27)/((-4)/(-51654)). Let f = j - 3350. Find the common denominator of f and 39/8.
72
Let m be (-170)/(-51) + (-1)/3. Let a(g) = g**2 - g + 3. What is the least common multiple of a(m) and 5?
45
Suppose 15733 = 2*c + 6177. Let w = c + -229303/48. Find the common denominator of 51/(-2)*(-2)/24 and w.
48
Let q = -10668 + 384107/36. What is the common denominator of 43/16 and q?
144
Let a be 6766/260*10/48*4. Let j = -1/52 + a. Find the common denominator of j and (50/16)/(-1)*6.
12
Suppose 5*i - 4943 = 2*w - w, 3*w = 5*i - 14789. Let y = 118051/24 + w. Calculate the common denominator of 53/12 and y.
24
What is the common denominator of 9/4 and (-12)/((-40)/(-16)*93/(-5))?
124
Suppose 0 = 2*b + 8, 2*o + 2*o + 5*b - 11220 = 0. Let d = o + -11159/4. What is the common denominator of d and 85/8?
8
Let c be 6/(5*8/9940). What is the common denominator of -47/8 and (-2)/(-8) - c/140?
40
Let s = -7 - -27. Suppose -t - 8 = 5*g, t - 9 = -t - 5*g. Let b = t - 11. Calculate the smallest common multiple of b and s.
60
Let n = -123/16 + 2153/432. Find the common denominator of n and -149/6.
54
Suppose -10*j = -13*j + 117. Suppose -a = -j + 9. Calculate the least common multiple of a and 21.
210
Suppose -5*m + j = -139, 5*m = 4*j + 168 - 17. Calculate the lowest common multiple of 81 and m.
81
Suppose -3*u + b + 195 = 0, -2*u + 3*b = -3*u + 75. Calculate the smallest common multiple of u and 30.
330
Find the common denominator of 59/34 and 40/(-64)*(0 + 57/75).
680
Let r = -51 - -54. Suppose 5*u - r*u - 20 = 0. What is the lowest common multiple of u and 5?
10
Let d(w) = 20*w**2 + w + 2. Let m be d(-1). Let n = -9 + m. What is the least common multiple of n and 30?
60
Let p = 6/91 - 5842/273. Let u = -9097/18 + 507. Find the common denominator of p and u.
18
Let v(u) = -78*u**2 + 10*u + u**3 + 20 + 69*u**2 - 2*u**3. What is the lowest common multiple of 6 and v(-10)?
60
Suppose 3*w - 60 = 4*z, 4*w = 2*z - z + 80. Let n(f) = f**2 + 5*f + 3. Let q be n(-8). Calculate the lowest common multiple of w and 155/9 + -1 + (-6)/q.
80
Let u = -445 - -607. What is the least common multiple of u and 14?
1134
Suppose -32*r + 765 + 771 = 0. What is the smallest common multiple of r and 264?
528
Suppose 0 = g - 1 - 1. Suppose g*b = 6*b - 32. Let q = 6 + b. Calculate the least common multiple of q and 6.
42
Let h(x) = -4*x - 1. Let q be h(-6). Let b = 37 - q. Calculate the smallest common multiple of (-8)/(-1 - 3/(-6)) and b.
112
Let i = -15 + 17. Suppose 4*h = -i*z + 8 + 2, -2*z - 3*h = -12. Suppose 2*l = 13 + 5. What is the least common multiple of l and z?
9
Let c = 17 + -13. Suppose 0 = -5*z + 2*q + 170, 0 = 3*z + c*q - 116 + 40. Suppose a = -a + z. What is the least common multiple of a and 2?
16
Let o be (1 + (-26)/6)*(-18)/10. What is the common denominator of 37/15 and 154/18 - (o + (-3 - -1))?
45
Let d = -19 - -33. Suppose 0 = 2*o - 5*s - 6 - 26, -4*s = 2*o - d. Suppose -2*f + 8 = -f. Calculate the lowest common multiple of o and f.
88
Let r(y) = y**2 + 6*y - 16. Let a be r(-10). Find the common denominator of (((-50)/a)/5)/((-30)/(-80)) and 49/5.
45
Let j = -5549 - -316216/57. Find the common denominator of 1/190 and j.
570
Let i = -131 + 668/5. Find the common denominator of -87/70 and i.
70
Let f(c) = -2*c**3 + 5*c**2 + 5*c - 2. What is the lowest common multiple of f(-2) and 345?
2760
Let r = -92 - -96. Calculate the common denominator of ((-8)/13)/r + (-55)/(-78) and 3/4.
156
Let t be (0 - 12/(-10))*(-786 + 41). Find the common denominator of 1/4 + (13 - -1) and (-2)/(-7) + t/(-56).
4
Let q(a) = a**2 + 5*a - 42. Calculate the smallest common multiple of q(5) and 112.
112
Let u = 542/21 + -342382/231. Let r = u + 1452. Let t = 2/1743 + 2318/5229. What is the common denominator of t and r?
99
Find the common denominator of (-4)/(-8)*(-42 + 13) and -53/8.
8
Let b(z) = -163*z**3 + z**2 + 3*z + 2. Let g be b(-1). Let c = 210 - g. What is the lowest common multiple of c and 2?
94
Suppose 22*s = -11*s + 28380. What is the smallest common multiple of s and 2?
860
Let h(i) = 2*i - 32. Let q be h(-6). What is the common denominator of 192/q*(62/18 + -3) and -143/12?
132
Calculate the common denominator of -16/119 and 10812/106*(-1)/4.
238
Let p = 10 - 28. Calculate the common denominator of (50/(-8))/(p/108) and -53/11.
22
Suppose w - 11 = 3*v, -4*w + 24 - 6 = v. Calculate the common denominator of 4/(-48)*w*19/2 and -31/6.
24
Let l = 54349 + -6739361/124. What is the common denominator of l and -53/6?
372
Let v = -8/95 + 1601/2090. Calculate the common denominator of 61/5206 and v.
57266
Let s = -1102 - -1130. Calculate the lowest common multiple of s and 40.
280
Find the common denominator of -20/133 and 1/(97/(-45) - (-8)/18).
1463
Let j(c) be the second derivative of c**5/10 - 19*c**4/12 + 5*c**3/3 - 4*c**2 + 38*c. Calculate the lowest common multiple of 2 - 0/(2 - 0) and j(9).
2
What is the smallest common multiple of 12 and (15*1 - -1) + (-12)/3?
12
Let d be 29 + 2 + -1 + -2. Suppose s - d = -s. What is the common denominator of 103/14 and ((-195)/(-20))/((-6)/s)?
28
Let h = 53 + -43. Suppose -z + h = 5*o, z - 5*z = -5*o + 10. Calculate the smallest common multiple of 26 and o.
26
Let d be 2 - (-3 - (-214)/7)/7. Let f = d + 4393/1078. Calculate the common denominator of -53/16 and f.
176
Let b = -127 + 208. Suppose 3*v = -3*f + b, -2*f + 28 = -v - 29. Calculate the least common multiple of 20 and f.
140
Let j(f) = -4 + 41*f - 4 - 44*f - 2. Let u be j(-7). Let c(d) = 2*d - 12. What is the least common multiple of 3 and c(u)?
30
Let s = 1778 - 32113/18. Let h = 19365 + -93759/5. Let r = 141121/230 - h. Find the common denominator of s and r.
414
Let s = 6085 + -48741/8. Suppose -1 = 2*o + 1. What is the common denominator of s and ((-98)/(-1