- -1. Suppose f = m, -x*m = 3*h + 3*m - 33. What is the least common multiple of h and 29?
319
Let r = -2236 - -1306. Let o = -4616/5 - r. Find the common denominator of 29/4 and o.
20
Let b = 11 + -19. What is the common denominator of -25/19 and 1 + (b/(-20))/(12/141)?
190
Let d = 57173/92 - 2495/4. Let h = 18/5 + -103/30. Find the common denominator of h and d.
138
Let w be 2/(-5) - 9/15. Let z be -1 - (-3 + 9 + w). What is the common denominator of ((-321)/(-36))/((-10)/z) and 73/6?
60
Suppose 20*d - 8*d - 84 = 0. Let a = 10 + -2. Calculate the smallest common multiple of a and d.
56
Let u be (3 - 3) + (-23882)/1. Let n be (-6)/(-15) - u/(-180). Let j = 132 + n. What is the common denominator of -101/14 and j?
126
Let a be ((-568)/180)/((-28780)/162645). Let f = a + 2/7195. What is the common denominator of f and -29/33?
66
Let g = 126 + -122. Calculate the least common multiple of g and 24.
24
Calculate the common denominator of -93/14 and (7/2)/(-7) + (-129)/(-40).
280
Let g = -41/250494 + 562490591/38576076. Let o be 1 - -167*(-1)/77. Let w = g - o. Calculate the common denominator of w and -71/3.
12
Suppose 2*r + 102 = 3*t + 5*r, t - 46 = -4*r. Calculate the least common multiple of t and 100.
300
Let c = 11995 - 7165. Let w = c - 57901/12. Find the common denominator of w and (-3)/(-240)*4*-122.
60
Let y be (-42610)/30030 + (-6)/33. Let c = -6/91 + y. Find the common denominator of c and -50/33.
33
Let u be (-1)/(-4) + 2162/8. Let f = 279 - u. Let h = 41132 + -904847/22. What is the common denominator of f and h?
22
Let t = 100654/9 + -11177. Let q = 5 - 12. Calculate the common denominator of q and t.
9
Suppose -26 = 2*t - 2*k - 10, 3*t - k + 32 = 0. Calculate the common denominator of 75/34 and 58/t + 4 + 57/(-12).
204
Let r(g) = 16*g - 7. Let i be r(-4). Let p = i + 81. Calculate the lowest common multiple of 16 and p.
80
Find the common denominator of -68/35 and ((-3)/(30/218))/(23814/1215).
490
Suppose 2*g + 3*d + 4 - 10 = 0, 4*d = -5*g + 15. Let x be (-22)/3 - (-6)/(-9). What is the common denominator of (309/x)/g + 2 and -91/16?
16
Let d = -239204805 - -7175416909/30. Let g = 24244 + d. Calculate the common denominator of 2/(-2 - 212/(-98)) and g.
60
Let o = 61 + -272/5. Let c = 12015/638 + 1/957. Calculate the common denominator of c and o.
30
Let c = 405 + -284. What is the smallest common multiple of c and 11?
121
Suppose 0*w - 5*w + 85 = -2*k, 4*w = 3*k + 61. Suppose y - 28 = -5*q, 3*q - 2 = -2*y + w. What is the least common multiple of 6 and y?
6
Let o = -150 + 82. Let g = o + 74. What is the smallest common multiple of 30 and g?
30
Let k be 97678866/20048*(-5 - -1). Let y = 19489 + k. Let h = -94603/3759 + y. Calculate the common denominator of -133/12 and h.
12
Find the common denominator of 21/(-126) + 163/(-66) and 57/511.
5621
Let q be (-2)/(1/12 + 0). Let l = 43 + q. Calculate the common denominator of l/3*105/(-28) and 75/4.
4
Calculate the lowest common multiple of 24 and (68*4)/(6 + (-5)/1).
816
Let b = 28757/12627 - -1/2806. Calculate the common denominator of -16/783 and b.
1566
Let j be 6/(-18) + (-106810)/6. Let w = 320557/18 + j. Find the common denominator of 47/58 and w.
522
Suppose 4*c = 0, 4 = -3*g + 4*g + 5*c. Suppose g*u - 11 - 13 = 0. What is the lowest common multiple of 6 and u?
6
Let i = -273 - -423. What is the least common multiple of 8 and i?
600
Calculate the least common multiple of 39 and ((-105)/(-14) + -4)*26.
273
Suppose j + 2*a = -2, 5*a = 6*j - 3*j - 16. Suppose -5*g - 2 = -3*n - n, 0 = 3*n - 3*g. What is the smallest common multiple of j and 3/n*(-8)/6?
2
Let j = 1646026754527/4306309032 - 14696915/38981. Let w = 1/9206 - j. Calculate the common denominator of 65/6 and w.
24
Let v(a) = a**3 + 8*a**2 + a + 10. Let n be v(-8). Let c be (-4)/(-5) - n/(-10). Calculate the common denominator of (-204)/(-30)*(-2 + c) and -44/15.
15
Let l = 1/2089 + -64787/58492. Calculate the common denominator of -43/70 and l.
140
Let w(z) = z**3 + 5*z**2 + z - 3. Suppose 16 = 4*k, -3*k + k = -2*s - 14. Calculate the least common multiple of w(s) and 26/7 + 4/14.
12
Let x be 3*(-3)/6*-2. Suppose 5 = -202*i + 203*i. Calculate the least common multiple of i and 2/(-3) - (-14)/x.
20
Let u(q) = -q**2 - q + 32. Let n be u(-6). Suppose -n*g + 5 + 1 = 0. What is the smallest common multiple of g and 2?
6
Let k(s) be the first derivative of s**4/4 - s**3/3 - s**2/2 + s + 3. Let z be k(1). What is the common denominator of (-4)/16*(z + -55) and -65/9?
36
Suppose -2*n - 5*f + 49 = -2, 5*f = 4*n - 147. What is the lowest common multiple of n and 121?
363
Suppose 36 - 8 = 4*t. Suppose -t*l = -3*l - 40. What is the least common multiple of l and 26?
130
Suppose 207*z + 3 = 208*z. Suppose 0 = -2*x + 3 + 11. What is the least common multiple of z and x?
21
Let t(c) = -259*c - 10. Let w(h) = -h**2 - 7*h + 1. Let d be w(-8). Let p be t(d). Let f = -3707/2 + p. Calculate the common denominator of f and 17/8.
8
Let h = -1376 - -1400. What is the lowest common multiple of 12 and h?
24
Let z = -4279/2 - -3037. Let d = -307 - 609. Let r = d + z. What is the common denominator of r and -89/20?
20
Suppose 2*m - 104 = -q - m, -5*q = -m - 520. What is the smallest common multiple of q and 20?
520
Let n = -101 + 97. Calculate the common denominator of -7/33 and 24/(n - 86/(-8)).
99
Suppose 3*y + 14 = 2*o, 3*o - 2*y = 35 - 9. Calculate the smallest common multiple of o and -1 + (-215)/(-4) - 33/44.
260
Calculate the common denominator of ((-10)/60 - 23/(-9))*-1 and -81/10.
90
Let b(o) = -6*o + 4. Let p(t) = 2*t**2 - t + 27. Let c be p(0). Suppose -3*x = -27 - c. Calculate the least common multiple of b(-5) and x.
306
Calculate the least common multiple of 94*(-3)/(-48) + 16/128 and 74.
222
Let m = -981 + 988. What is the lowest common multiple of m and -1 + ((-864)/(-3))/3?
665
What is the common denominator of (-3)/1 + ((-1800)/(-154) - 9) and -31/21?
231
Let p = -128 - -221. What is the common denominator of 127/6 and -2 + 1 - p/54?
18
Let u = -19 + 39. Let b be (27/u)/((-51)/66). Let g = 74/17 - b. Find the common denominator of g and -67/10.
10
Let z(p) = p**2 + 10*p - 9. Let i be z(-11). Calculate the common denominator of (-3 - 44/10) + i and (-6)/3 + 46/(-9).
45
Let i(r) = -r**2 + 9*r + 3. Suppose 0 = 2*b - 11 - 31. What is the smallest common multiple of i(6) and b?
21
Let k(f) = -f**3 + 5*f**2 + 9*f - 14. Let d be k(6). Let i be 18/(-4)*d/(-3). Calculate the least common multiple of 20 and (27/i)/(2/8).
180
Let r = 2/3811 + 266764/11433. Calculate the common denominator of (-33)/2 - 2/12 and r.
3
Let l(k) = k**3 + 7*k**2. Suppose 5*m = -28 - 7. Let f be l(m). Suppose 0*s - 3*s + 9 = f. Calculate the smallest common multiple of s and 1.
3
Let f = 1/160 - 1501/160. Let d = -45289/6 - -7565. Calculate the common denominator of d and f.
24
Suppose 4*n + w = 35, 2*w - 23 = -4*n + 5*w. Let i = 66 - 48. What is the smallest common multiple of n and i?
72
Suppose 2 - 1 = -l. Let g(k) = -5 + 10*k - 43*k + 2. What is the least common multiple of g(l) and 14?
210
Let t = 42273/10 - 4238. Let s = -12746642 + 255115259/20. Let h = s - 9115. Find the common denominator of h and t.
20
What is the common denominator of ((-7)/(-5))/(-31*6/(-15)) and -23/12?
372
Let i = -539 + 540. Calculate the least common multiple of 11 and i.
11
What is the common denominator of -31/36 and (33/(-4))/(2475/385)?
180
Find the common denominator of -89/24 and 4/(-120) - (9 + -9).
120
Suppose 1712 = 12*p - 8*p. Suppose -2*v - 5*k + 860 = 0, v + k = -2*k + p. Calculate the lowest common multiple of 6 and v/50 + 2/10.
18
Let b(j) = j - 1. Let y(n) be the first derivative of -5*n**2/2 - 6*n + 9. Calculate the smallest common multiple of b(5) and y(-3).
36
Calculate the lowest common multiple of (-12 - (-44)/5)*120/(-2) and 16.
192
Let p be 1/((-1 + 10/8)/(-1009)). Let d = p + 24335/6. What is the common denominator of -77/6 and d?
6
Let d = 4183 - 2974112/711. Let f = d - -40519/5688. Find the common denominator of f and 23/10.
40
Suppose -5*w = -2*k - 8, -5*w - 5*k + k = -14. Suppose 0 = r - h - 19, -w*r + 3*h + 77 = 2*r. What is the least common multiple of r and 14?
140
Calculate the common denominator of -1 - (-1 - (-118)/24) and -69*(5934/(-594) - -10).
