a/(-30) + 1/(-3).
70
Suppose -4*r - 23 = 2*i - 137, 2*r - i = 63. What is the lowest common multiple of r and 48?
240
Let x be (8 + 0)*(-5)/((-20)/(-48)). Suppose a + 36 = 4*a. What is the lowest common multiple of a and ((-2)/4)/(4/x)*1?
12
Let l = -140/237 + 6689/23226. What is the common denominator of l and 4/21?
294
Let i be (34/(-51))/(2/9). Calculate the lowest common multiple of 9 and 1 - i - (-2 - 1).
63
Let a = 29 - 40. Let r = a + 15. Let f = 6 + 6. Calculate the smallest common multiple of r and f.
12
Suppose -778 = p + l, -2*l - 2 = -l. What is the least common multiple of p/(-88) + 2/11 and 7?
63
Calculate the common denominator of -115/102 and ((-10)/42)/(0 + (-72)/(-84)).
306
Let o = 61 + 70. Let u = -109 + o. Calculate the least common multiple of 14 and u.
154
Let k = 7085719/27190 + -1/5438. Let b = -15901/60 + k. What is the common denominator of b and 69/44?
132
Let a(f) = -117*f - 122*f + 5 + 240*f. Let d be -2 + 2 - (-4)/(-1). What is the lowest common multiple of a(d) and 10?
10
Let y = 58537/84660 + -53/415. What is the common denominator of 113/42 and y?
1428
Let q(c) = -5*c**3 - 14*c**2 - 2*c + 1. Suppose 2*b - 4*b = -k + 10, k - 5*b + 5 = 0. What is the least common multiple of q(-3) and k?
80
Let n = -437106856475/3612 + 121015191. Let j = 179 + -23068/129. Let d = j + n. What is the common denominator of d and -91/20?
140
Suppose 4*o - 219 = -f + 3*o, 0 = 4*f + 2*o - 874. What is the least common multiple of f and 3?
654
Find the common denominator of ((-496)/72)/((-14)/3*1) and 17/24.
168
Let t be 3558/(-9) + (-2)/3. Let f = -2249 + t. Let c = 52877/20 + f. What is the common denominator of c and -9/2?
20
Let u = 559 - 92231/165. Calculate the common denominator of -44/3 and u.
165
Let t = -6221/4 + 1532. What is the common denominator of -16/119 and t?
476
Let h = -31408/105 + 2071/7. Calculate the common denominator of h and 23/48.
240
Let j = 2 - -8. Find the common denominator of 28/9 and -6 + 5 + j/(-14).
63
Let f(m) = -m**3 + 12*m**2 + 28*m + 1. Calculate the lowest common multiple of f(14) and 8.
8
Let v(t) = -t**3 + 9*t**2 + 25*t + 3. Let z be v(11). Find the common denominator of (-118)/z + 10 + -7 and -19/4.
36
Suppose f + 18 = -4*t + 4*f, -2*f - 5 = 3*t. Calculate the common denominator of ((5/20)/(33/(-1170)))/t and 87/8.
88
Let a(f) = 4*f**3 + f. Let x be a(1). Let u(h) = h - 7. Let y be u(-7). Calculate the common denominator of (2/y)/(x/265) and 51/5.
35
Suppose -2*l + 7 = -5*z + 44, 5*z - 53 = -2*l. What is the common denominator of z/6 + 202/(-96) and 71/8?
48
Calculate the common denominator of ((-2)/171)/((5488/984)/7) and 51/10.
27930
Let w(l) = l - 8. Let i be w(-4). Let t be (-838)/(-7)*i/288. Let s = -11/42 + t. What is the common denominator of -43/11 and s?
44
Suppose -i - 13435 = -12*s + 8*s, -5*i - 16775 = -5*s. Calculate the lowest common multiple of 46 and 6/(-57) - s/(-152).
506
Suppose 2*i + 2*y = -3*y + 107, 3*i + 4*y - 178 = 0. Calculate the lowest common multiple of i and 16.
528
Calculate the common denominator of 31/128 and (-95)/152 - (0 - -4).
128
Let b(c) = 7*c - 6. Let l be b(-6). Calculate the common denominator of -3/10 and ((-280)/l)/((-8)/(-3)).
80
Suppose -3*x = -5*g - 6, 4*g + 6*x - x = 10. Let r be g/4 - -1*2. Let d = r + 10. Calculate the least common multiple of d and 8.
24
Let r = -1836 - -1861. Let v(o) = -o**3 + 5*o**2 - o - 3. What is the lowest common multiple of r and v(4)?
225
Suppose 0 = s + 5*d + 9, -4*d + 12 = s - 6*d. What is the lowest common multiple of 6 and s?
6
Let u = 59 + -31. Find the common denominator of (150/(-9))/(u/5) and 2 + (1 + 1)/40.
420
Let a(l) = l**2 + 0*l - 3*l**3 + 4*l**3 - 2*l + 3*l. Let h be a(0). What is the smallest common multiple of 8/(-4)*(-5 + h) and 6?
30
Calculate the least common multiple of (-38)/285 - 334/(-30) and 103.
1133
Let q = -5 + 8. Let r be (-4 - -10)*1/1. Suppose 0 = -5*m + u + 54, -u - 28 - r = -q*m. Calculate the lowest common multiple of m and 8.
40
Let o = -1/380 + -15197/1140. Let z be (-1292)/36 + (-2)/(-9). Let h = z - o. What is the common denominator of h and 77/10?
30
Let k = 22 + -20. Calculate the least common multiple of 18 and 1/(-3)*(-32 + k).
90
Suppose x = 4*o + 5, -4*x + 0 + 20 = 5*o. Let d(m) = 6*m + 2 - 2*m - x*m. Calculate the least common multiple of d(-2) and 6.
12
Let l = 6 + -11. Find the common denominator of (-7)/35*205/4 and 50/(-32)*6/l.
8
Let z be 527/3090 - (-2)/(-12). Let s = 13384/1545 + z. Calculate the common denominator of 75/8 and s.
24
What is the common denominator of -7 - 10700/(-952) - (-24)/204 and (-1)/(72/(-10))*2?
126
Suppose -2*n + 8 + 20 = 0. Let d(s) = 3 + 2*s**3 + 0*s**3 + 7*s - 10*s - s**3 + 3*s**2. Calculate the least common multiple of d(-3) and n.
84
Let o = -3815908 - -30412637/8. Let j = o - -14365. Let q = j + -503/16. What is the common denominator of 15/16 and q?
16
Suppose -5*h + 25 = 0, -h + 65 = -0*a + 4*a. Calculate the least common multiple of a and (10 + -5)*-1 - -38.
165
Suppose -b - v + 2*v = 5, -3*b = v - 1. Let m be (b/2)/((-4)/40). Let u(w) = 3*w - 5. What is the smallest common multiple of u(m) and 20?
20
Let k(s) = 2*s - 18. Let j = 11 - -2. Let t be k(j). Find the common denominator of t/24 + 274/132 and -101/16.
176
Let q be 38268187/80 + (-30)/(-50). Let i = q - 478115. Let z = -238 + i. What is the common denominator of 53/44 and z?
176
Suppose 4*t + 0*t = 0. Suppose t = -3*c - 2*c + 25. Suppose -c*i + 0*i + 35 = 0. Calculate the lowest common multiple of 8 and i.
56
Let d = -41 + 50. Let i(y) be the second derivative of y**5/20 - 11*y**4/12 + 5*y**3/3 + 9*y**2/2 - 4*y. Calculate the lowest common multiple of d and i(10).
9
What is the smallest common multiple of 7751/92 + 1/(-4) and 12?
84
Let q = -106 - -116. Calculate the lowest common multiple of 11 and q.
110
Let p(s) = 2*s - 10. Let r be p(8). Calculate the common denominator of 0 + (2 + 1)/r and -2 - 1/((-3)/(-20)).
6
Let k be (-14)/2 + 4 + 50. Suppose -k = -5*c + 3. Calculate the least common multiple of (-49)/(-3) - (-3)/(-9) and c.
80
What is the smallest common multiple of 2140 and (29 - (-8 - -17)) + 0?
2140
Let z(h) = h**2. Let i(b) = b**3 + 10*b**2 + b + 11. Let m = -2 + -8. What is the least common multiple of z(-2) and i(m)?
4
Let u(b) = -2*b**3 - b**2 + 5*b + 4. Suppose 9*n - 4*n = 100. Suppose 0 = x - 0 - n. Calculate the smallest common multiple of u(-2) and x.
60
Suppose -h + 26 = -5*a, -5*a = 19 - 4. Let g = 1 + -1. Suppose g = -5*v + 39 + 1. What is the smallest common multiple of v and h?
88
Let j be (-15)/(-75) + 19751/(-55). Let s = 38369/110 + j. What is the common denominator of s and -91/15?
30
Let h(x) be the second derivative of x**4/6 - x**3/6 - x**2/2 - 7*x. Let z be h(-1). What is the smallest common multiple of 18 and ((-18)/(-45))/(z/20)?
36
Let j = 171149/27 + -12679/2. What is the common denominator of 137/24 and j?
216
Let u(m) = 23*m**2 + m. Let i be u(-1). Find the common denominator of (-8)/16 + (-44)/(-5) and 2/18*i/(-2).
90
Let a(t) = 13*t - 55. What is the smallest common multiple of a(11) and 232?
2552
Let h(x) be the third derivative of x**6/30 + x**3/6 + 8*x**2. Let u be h(1). Let b = 3 + u. What is the lowest common multiple of 16 and b?
16
Let n be (-7430)/(-264)*126/(-380). Let t = 1234154/209 + -5905. Let w = t - n. What is the common denominator of -61/3 and w?
24
Let h be ((-2)/(-3))/((-80)/(-139452)). Let p = 1161 - h. Calculate the common denominator of p and -52/3.
30
Let l(z) = 2*z + 7. Let p be l(-5). Let t be 8/(-2)*(p + 2). What is the lowest common multiple of 18 and (-318)/(-27) - t/(-18)?
36
Suppose 12*h - 11*h = 0. Suppose 3*l + y - 4*y = 18, h = -l + 4*y - 6. Calculate the lowest common multiple of 18 and l.
90
Let y = -25 + 29. Suppose -7*j + y*j = -30. Calculate the smallest common multiple of j and 4*((-21)/(-2))/3.
70
Let k(d) = d**2 + 2*d - 13. Let i be k(-5). Suppose -5 = 5*w, 0 = i*f - 2*w + w - 57. What is the lowest common multiple of f and 11?
308
Let f be ((-100)/(-70))/((-36)/(-160797)). Let t(c) = -c**2 + 6361. Let w be t(0). Let p = f - w. Calculate the common denominator of -30/11 and p.
66
Let p = 5503/990 + -46/55. Calculate the common denominator of p and 82/465.
2790
Let b be (-8972)/(-8)*(-11098)/(