on multiple of ((-1)/(-2))/((-2)/(-16)) and j(w).
44
Let d(a) = a**2 + 2*a - 24. Let g be d(5). Suppose g*q - 14*q = 3. Calculate the lowest common multiple of 132/(-165)*(q - 166/4) and 10.
170
Let h = -7 + 3. What is the smallest common multiple of 177/12 - 63/84 and (-3)/2*h/3?
14
Let f = 247 - 601. Let d = f - -376. Let j = 103 - 53. Calculate the lowest common multiple of d and j.
550
Suppose -1 = c + 5*u + 11, -12 = 4*u. Let t = -299 - -301. Suppose p = -2*v + 20, -c*v + 145 = 5*p - t*v. Calculate the smallest common multiple of p and 18.
90
Let y = -628240 + 1604515. Let r = 37107493/38 - y. Let g = 238 - r. Find the common denominator of -59/4 and g.
76
Let x be 6/(-10) + (-18)/(-30). Suppose -3*m + 4*a - 7983 = x, -3*a + 7*a = -4*m - 10644. Find the common denominator of 12/63*-3 + m/(-504) and 2/33.
264
Let l be (15/20)/(3/(-12)). Calculate the common denominator of -83/20 and (8 + 0 + l)*78/(-276).
460
Let d(i) = -i**2 - 7*i - 8. Let l be d(-4). Suppose -3*v - k + 436 = 0, k + 0*k = l*v - 579. What is the common denominator of -5/22 and v/45*(1 + 34/(-4))?
66
Suppose 3*p = -2*i + 278, -3*p + 4*p = 5*i + 70. Calculate the least common multiple of 198 and p.
990
Let u = -2561/77 + 292/11. Find the common denominator of u and (2/6)/(5/(-245)).
21
Let z be (-3 + 38)*(2 - 1). Suppose 0 = 3*d + 3*w - z - 10, 0 = -4*w - 4. Let m = 13 - -49. What is the least common multiple of d and m?
496
What is the least common multiple of 126 and -8 - ((-36)/(-6))/18*-2985?
5922
Let j be (-3 - 26/(-10)) + 10851/27105. Let s = 388568/189735 - j. Let k = -5/4806 - -52085/19224. What is the common denominator of k and s?
168
Suppose -4*z + 3 = 4*q - q, 4*z = 4*q - 4. Let l = 95 - z. Suppose 2*n - 7*n + l = 3*d, 36 = n + 4*d. What is the least common multiple of n and 8?
16
Let s = 59747461551 - 201109967409943/3366. Let m = -59730/17 - s. What is the common denominator of 61/22 and m?
198
Suppose 25*w = 4577 + 7023. Let i = w + -437. Calculate the lowest common multiple of i and 30.
270
Let d = -10123940 - -151798847/15. Let u = d + 4019. Find the common denominator of u and -103/30.
30
What is the common denominator of -73/1224 and (41 - 39) + 1/(24/(-38))?
1224
Let c = 5/2682 - 28402/9387. Let o = 41278245/112 + -368555. What is the common denominator of o and c?
336
Suppose -5*r - 85 = -8*d + 3*d, -5*d + 2*r + 94 = 0. What is the least common multiple of 130 and 52*(-6)/((-48)/d)?
130
Let y be -3*(-4 + (-110)/(-3)). Let f = y + 104. Find the common denominator of (2/f)/(540/(-111) + 5) and -44/27.
135
Calculate the smallest common multiple of 154 + (-4)/6*(-39)/(-26) and 90.
1530
What is the common denominator of 119/2124 and (3/(82 + 2))/(54/1272)?
14868
Let b(n) = -n**2 - 40*n - 49. Let r be b(-40). Let j = 41 - r. What is the lowest common multiple of j and 150?
450
Suppose 0 = -128*z + 126653 + 149165 - 9706. What is the least common multiple of 24 and z?
16632
Let s = -36021/9520 + 248/85. Find the common denominator of s and 2365/(-280) + 9/96*4.
112
Calculate the lowest common multiple of 1716/55 - (639/45 - 13) and 186.
930
Let i = 9680 - 4017202/415. Let t be 295/177 + 219926/(-4980). Let v = i + t. Calculate the common denominator of v and -45/22.
22
Let x(k) = k**2 + 5*k - 13. Let y = 63 + -52. Suppose -y - 45 = 8*d. Calculate the smallest common multiple of x(d) and 8.
8
Calculate the lowest common multiple of 42 and (-90)/(-7) - 224/(-196).
42
Let m(z) = 18*z - 10*z + 17*z**2 - 2*z**2 - 9*z. Calculate the lowest common multiple of (-4)/(-12)*(-144)/(-3) and m(-1).
16
Let z(g) = g**3 - 30*g**2 - 35*g + 132. Let a = -33 - -12. Let y = a - -29. What is the lowest common multiple of y and z(31)?
8
Suppose 0 = 3*j - 6*j - 6. Let a(f) = -17*f + 56. Calculate the lowest common multiple of a(3) and (0 - -19) + 2 + j.
95
Suppose 0 = 2*f + 2*k - 570, 4*k = -k - 20. Suppose 11*j - f = -113. What is the lowest common multiple of 62 and j?
496
Suppose -20*y - 384 = -4*k - 25*y, -k + 83 = -2*y. What is the least common multiple of k and 2?
182
Let l = -22021 + 1717673/78. Find the common denominator of l and -19/10.
390
Let z(g) be the first derivative of -g**4/4 - 3*g**3 + 9*g**2/2 + 14*g - 7. Let u = -89 - -113. Calculate the smallest common multiple of z(-10) and u.
24
Let v(f) = -f**3 + 38*f**2 - 76*f + 204. Calculate the least common multiple of v(36) and 14.
420
Let g(c) = 92*c**2. Suppose 4346 = 116*f + 1098. Calculate the smallest common multiple of g(1) and f.
644
Let z = 115 - 7. Suppose 0 = -4*v + 5*d - 6*d + z, -4*d + 68 = 3*v. Suppose 8*k - v = k. Calculate the least common multiple of k and 12.
12
Suppose -2*g - 64 = 4*i, 6*g + 3*i + 93 = 3*g. What is the common denominator of -51*(-15)/72 - 4 and 2 + (6985/g)/(-11)?
24
What is the common denominator of 50/(-625) - 1882/(-12900) and -119/1032?
1032
Let u = -30/20251 - -524533/607530. Calculate the common denominator of u and 71/770.
2310
Let t(k) = -k**2 + 6. Let h(p) = p**3 - 4*p**2 - 5*p. Let d be h(5). What is the lowest common multiple of t(d) and 7 - (-3)/6*-6?
12
Find the common denominator of 39/164 and 9 + -2 + ((-12)/(-16) - 5608/768).
3936
Let k = -10901 + 15365. What is the least common multiple of 45 and k?
22320
Suppose 71*u - 10868 = 60*u. What is the least common multiple of u and 2?
988
Let h = -178 + 318. Find the common denominator of -1 - -4 - (-671)/(-110) and (-8)/20 + ((-3162)/h)/3.
70
Let n be ((-36)/315)/(804/64968218). Let w = 9235 + n. Let l = w - -47903/2010. What is the common denominator of 95/2 and l?
6
What is the common denominator of (16/(-3) + -9)/(-5) and 50/126*(-1)/((-1)/(-6))?
105
Let m be (2 + -275)*(3 - 1). Calculate the common denominator of 3/36*(-9)/(243/m) and -157/30.
270
Suppose -4*d = 8 - 20. Suppose 0 = -4*c + 4*w + 247 - 11, -d*w = 3*c - 183. Calculate the least common multiple of 18 and c.
180
Let h = -6129 - -6883. What is the lowest common multiple of h and 174?
2262
Calculate the smallest common multiple of 187 and (-3 - -2)/(69/(-1173)).
187
Let b = 14131 + -339017/24. What is the common denominator of (-2)/(-4) + (-64)/240 and b?
120
Let v be ((-1 + 0)/(9/(-1089)))/(-1). Let l = v - -126. Suppose -5*a = l*u - 10, 5*a - 11 = 2*u - 50. Calculate the least common multiple of u and 6.
42
Let m = 721150729/133260 - 2112/11105. Let l = 5399 - m. Calculate the common denominator of 9/16 and l.
48
Let p(m) = 14*m + 4. Let i be p(3). Let l = -42 + i. Suppose -2*t - 4*x = 0, 4*x = 5*t - t - 36. What is the smallest common multiple of l and t?
12
Let h be -53*(2 + 2 - -1)*1. Suppose -5*m + 3*m + 68 = 0. Calculate the smallest common multiple of m and 4/12 - h/15.
306
Suppose -123*r - 3*i - 474 = -124*r, -4*r - 2*i = -1840. What is the least common multiple of r and (-6)/9 - (-152)/12?
924
What is the common denominator of 6/185 and 137/(-111) - (-96)/84?
3885
Suppose -8*i - 28*i = -140*i + 2496. Calculate the smallest common multiple of 18 and i.
72
Let y = -233/7728 - -82/161. Calculate the common denominator of y and -17/1548.
6192
Let b = 29 - 43. Let m(j) = j**2 + 15*j + 17. Let k be m(b). Calculate the common denominator of (k/(18/(-112)))/(36/(-6)) and -30/7.
63
Let w(k) = k**3 - k**2 - 3*k - 6. Let o be w(-2). What is the lowest common multiple of 39 + 4/(o/9) and 15?
180
Find the common denominator of (295*(-2)/(-100) + -6)/(12/375) and 4/(-12) - 266/(-60).
40
Let l be (-32)/64 + 40814/(-20). Let i = 2034 + l. What is the common denominator of -22/49 and i?
245
Let o = -8840 - -10424. Calculate the lowest common multiple of o and 60.
7920
Let l = -11223 - -13183. What is the smallest common multiple of 25 and l?
9800
Let y = -1602/19 + 63833/760. Let z = -3/50 + -2473/1700. What is the common denominator of y and z?
680
Suppose 2*v + v + 144 = 0. Let a = v + 78. Calculate the lowest common multiple of -42*((-10 - (-17956)/1809) + ((-256)/189 - 0)) and a.
60
Suppose -o - 4*o + 60 = 0. Calculate the lowest common multiple of (-3)/(2 + ((-2)/(-6))/((-37)/333)) and o.
12
Suppose 2*u + 5*b = 47 + 21, 3*u - 178 = 2*b. Calculate the least common multiple of 108 and u.
108
Suppose 150*g - 485469 = 6531. Calculate the lowest common multiple of g and 88.
36080
Find the common denominator of 58/12*(-4)/8*2 and 5/9784.
29352
Suppose 74 - 29 = 5*