*a. Calculate the smallest common multiple of 12 and f.
420
Suppose -6*c = -c - 5, 2*d - 48 = -4*c. Let x = -339 + 349. What is the lowest common multiple of x and d?
110
Let g = 52 - 57. What is the smallest common multiple of (32/(-6))/(1 + g/3) and 10?
40
Let d be (-13596 + -1)*(127532/(-31896) + 4). Let u = d + 2/3987. Find the common denominator of -17/18 and u.
18
Let f = -17464901/910 + 95958/5. Find the common denominator of f and 33/169.
2366
Let s be -2 + 10/21 - -2. Let z = s + 62/399. Let h = 33/38 + z. Find the common denominator of 5/16 and h.
16
Let x be (-9 + 59)*(-1)/(-2). Find the common denominator of 75/16 and 158/(-20) + 20/x.
80
Let p = 373601/73500 + 2/6125. Let i(h) = -146*h**2 + h - 1. Let q be i(1). Find the common denominator of p and 2 + 2*q/56.
84
Let a = -39/220 - 1937/165. Find the common denominator of a and (-3)/6 - (-82)/40.
60
Suppose -4*m - 2*j + 180 = j, -3*j + 36 = m. Suppose 15 - 87 = -4*k. Calculate the smallest common multiple of (m/(-10))/((-24)/80) and k.
144
Let n be -7*(-4 - (-58)/7). What is the common denominator of 75/8 and (2/n)/((-20)/90)?
40
Suppose 3*x = -2*n + 416, 0 = 2*x - 0*x - 3*n - 286. Find the common denominator of -65/3 and ((-3)/12)/((-231)/x).
33
Let v = 40260/91 + -16218067/1638. Let j = v + 9463. Calculate the common denominator of 17/2 and j.
18
Let v be -7*(-3 - -4 - 4) - 3. Calculate the least common multiple of v - -2 - (5 + -7) and 22.
22
Let d = -32858286425946/905689 - -36279878. Let f = d + 31663793161/7245512. Let w = f + -4358. Calculate the common denominator of -17/6 and w.
24
Let t be 2/(-10068)*827 - 14/(-84). Let d = 1349436409/47985766 - -10753/28597. Let y = t + d. Find the common denominator of 101/10 and y.
10
Let g = 4 - -6. Let t be ((-6)/(-10))/((-2)/g). What is the common denominator of (50/18)/(-5) - t and -2/11?
99
Let o = -133/18 + 833/198. What is the common denominator of 28/33 and o?
33
Suppose -6*a + 3*a = -5757. Let g be (-152590)/5*(-6)/96. Let b = a - g. Find the common denominator of 28/9 and b.
72
Find the common denominator of (3624/864)/(2 + 8/(-3)) and -40/81.
648
Let j(z) = 2*z**2 + 17*z + 15. Calculate the least common multiple of 12 and j(-8).
84
Let o be 3 + (0 - 1) - 8. Let g = 8 - o. Let h = 24 - 16. Calculate the smallest common multiple of h and g.
56
Suppose -22611 = -8*v + 4557. Calculate the lowest common multiple of 22 and v.
37356
Calculate the least common multiple of (62/(-3))/((-120)/1260) and 14.
434
Let f(y) = -y**3 + 9*y**2 + 9*y + 8. Let c be f(10). What is the common denominator of ((-8)/(-10))/c + 5706/5940 and 83/14?
462
Let d = 623 - 476. Calculate the least common multiple of d and 49.
147
Suppose 123*u - 105 = 118*u. Suppose 2*p - 4 - 2 = 0. Calculate the smallest common multiple of p and u.
21
Let g be ((-8)/130)/(56/(-2460)). Let k = -87/26 + g. Calculate the common denominator of 56/3 and k.
42
Let n = -4 - 2. Suppose -93*r = -80*r - 143. What is the smallest common multiple of (-1)/(-3) + (-10)/n and r?
22
Let r = 142 + -97. Let j = 19657/144 + -1192/9. Calculate the common denominator of (42/16)/(r/260) and j.
48
Let w(o) = 2*o**2 + 123*o + 613. What is the smallest common multiple of 36 and w(-5)?
144
Let r(y) = 618*y - 13. Let w be r(6). What is the common denominator of w/360 - 2/(-18) and (-89)/10 - (2 - 3)?
40
Calculate the lowest common multiple of 4*((-7)/(-4) - -2) and 45.
45
Let n = -150 + 153. Calculate the lowest common multiple of n and 3.
3
Let d(q) = -q**2 + 12*q - 6. Let b = -144 + 149. What is the least common multiple of d(11) and b?
5
Let j = 17 + -9. Suppose j*r + 14 = 9*r. Calculate the least common multiple of r and 22.
154
Let d = 340 - 338. What is the least common multiple of 57 and d?
114
Let y be 3/4*(1 - -3). Suppose -y*r = -664 - 344. What is the lowest common multiple of 2 and r/182 - 4/(-26)?
2
Suppose -419 = -4*k + 3*n, 421 = 3*k + k - 5*n. Let c = -90 + k. Calculate the lowest common multiple of (-32)/6*(-6)/4 and c.
56
Let k = 29 - 2. Suppose -2*i + k = 5*r, 2*r + 2*i - 15 = -3*i. Let d = 6 + 3. What is the lowest common multiple of r and d?
45
Find the common denominator of 37/12 and 1 - (-6 + 9 + (-110)/168).
84
Let g(f) = 4*f**2 - f - 6*f**2 + 3*f**2 + 0*f**2. Let l(a) = 2*a**2 + 12*a + 14. Let v(c) = 3*g(c) - l(c). What is the lowest common multiple of v(16) and 16?
16
Let u = -2 - 32. Let o = 41 + u. Calculate the smallest common multiple of 3 and o.
21
Let m = -157/5 - -134/5. Calculate the common denominator of -119/50 and m.
50
Calculate the common denominator of -9/20 and -2*(2 - (-534)/24).
20
Suppose -21*z + 22*z - 102 = 0. Suppose -398 - z = -5*y. What is the lowest common multiple of y and 6?
300
Let b = -1189 - -4677/4. Calculate the common denominator of 109/198 and b.
396
Suppose 4*w - 126 = 2*v, -3*w + 108 = 2*v + v. Calculate the least common multiple of w and 54.
594
Let n(c) = 12*c**2 - 2*c - 2. Suppose 7*x - 3*x + 5*m = 43, 2*m + 38 = 3*x. Calculate the smallest common multiple of n(-1) and x.
12
Let k be 0/(-9) - (-231779)/(-140). Let f = -11562/7 - k. Let w = -16479 + 362463/22. Calculate the common denominator of w and f.
220
Let i(l) = 4*l - 6. Let m(z) = z**2 + 5*z - 2. Let v be m(-5). Let y be ((-9)/(-6))/((-1)/v). Calculate the smallest common multiple of 4 and i(y).
12
Suppose 4*n + 41780 = 4032. Let m = 56483/6 + n. What is the common denominator of -133/18 and m?
18
Suppose -5*s = q - 28, 14*q - 96 = 9*q - 3*s. Let a(y) = 3*y - 9. Calculate the least common multiple of q and a(6).
18
Let x = 31/53 + -7972/5565. What is the common denominator of x and -56/15?
105
Suppose -78 = -3*z + 30. Let p be ((-4538)/(-12))/((-54)/z). Let i = p + 249. Calculate the common denominator of i and -83/2.
18
Let p = -5678 + 715499/126. What is the common denominator of p and -74/63?
126
Let l = -33 + 40. Calculate the lowest common multiple of l and 16.
112
Suppose 3*w - 6989 - 4498 = 0. Find the common denominator of w/630 + 6/(-45) and 95/22.
198
Let r = -324 + 462. What is the lowest common multiple of r and 6?
138
Suppose 3*o - 24 = 3*h, -27*h - 12 = o - 23*h. Let w(n) = n**3 - 5*n**2 - n - 6. Calculate the lowest common multiple of w(6) and o.
24
Let w(d) = -4*d + 20. Let z be w(5). Find the common denominator of (-9)/135*(10/(-4) + z) and -2*(-1)/(24/(-122)).
6
Let m = -15 + 17. Let t(x) = 2*x**2 - x - 2. Let v be t(m). Calculate the lowest common multiple of (-15)/(3 - 15/v) and 2.
20
Let r = 15 - 24. Let m(w) = -w**3 - 9*w**2 - 2*w - 14. Calculate the least common multiple of m(r) and 10.
20
Suppose 0 = -143*v + 34*v + 74*v + 1575. What is the least common multiple of 1/4 - (-198)/8 and v?
225
Let i = -508 + 2563/5. Let k = 48 + 5. Calculate the common denominator of i and 5/(-25)*k/(-2).
10
Suppose -4*h - 4*r = -72, 2*h - 24 = 5*r + 47. Let q = 28 - h. Calculate the least common multiple of 6 - 0/3 - 2 and q.
20
Let n(m) = 2*m - 2. Let i be n(3). Let o be 6/(-21) - (-54)/(-7). Calculate the least common multiple of (-2)/o*i*5 and 4.
20
Calculate the common denominator of (23/20 + -4)/(12/(-8)) and 5/4.
20
Let r = -1 - -45. Let s = r - 34. What is the least common multiple of 27/4 + (-2)/(-8) and s?
70
Suppose 48 + 680 = -4*n. Find the common denominator of ((-12)/(-14))/3 + (-165)/n and (19/2)/(-4 + 1).
78
Let h(y) = -3*y**2 + 158*y + 89. Calculate the smallest common multiple of h(53) and 7.
252
Let k = 1/14589 - 355019/291780. Calculate the common denominator of -79/15 and k.
60
Let p be (8/7)/(-2) + 6768216/1617. Let h = -4181 + p. Let c = 1885 + -16909/9. What is the common denominator of h and c?
99
Let m = -5/3118 + -16849/187080. Calculate the common denominator of 1/2 and m.
120
Find the common denominator of (-91)/56*(5 - 249/51) and 4/85.
340
Let x = 2 - -3. Let u be 0 - -1 - (x + 4). Calculate the common denominator of 11 and (-59)/(-2)*u/28.
7
Let a = -161019/7 + 22927. Let t = a + 100721/1330. Let u = t + 4321/95. What is the common denominator of u and -59/6?
6
Let v = -960/7 + 31708/231. What is the common denominator of 41/66 and v?
66
Let j = 29 - -1. Suppose 11*u - j = 6*u. Let f = 1 - -3. What is the least common multiple of u and f?
12
Let m = 9094 + -163621/18. Calculate the common denominator of 2/(-5) - -2*423/180 and m.
90
Suppose