/1) and 67/10.
80
What is the least common multiple of 12 and (20/(-6))/(130/(-234))?
12
Find the common denominator of (12/(-108)*69)/((-8)/(-3)) and 16/2*(-7)/(-3).
24
Suppose 5*o - 3*o - 140 = 4*d, -2*o + d = -137. Let y be (o/(-8))/((-2)/8). Let p = y + -16. Calculate the least common multiple of p and 20.
180
Suppose 0 = -3*y + 9*y - 450. Suppose 5*a - 45 - y = 0. What is the lowest common multiple of a and 10?
120
What is the least common multiple of 20 and 119/2 - (-24)/(-16)?
580
Let q be (-2)/((-2)/(-1)) - -1. What is the common denominator of (-273)/54 + 2 + q and -3 + ((-1275)/238)/(4/(-14))?
36
Let m = -52 + -78. Let w = m - -175/2. Find the common denominator of w and -26/9.
18
Let k = 21 + -11. Suppose -3*l = -8*l + k. Calculate the lowest common multiple of l and 22.
22
Suppose -5*p + 63 = 4*h, 4*h = 5*p - 7*p + 54. Let d(m) = -m**2 - 13*m + 6. Calculate the smallest common multiple of h and d(-10).
36
Calculate the smallest common multiple of 80 and 9 - 3 - (-3 + -2 + 7).
80
Suppose 3*n - 7 = b, -2*n + 2*b + 8 = n. Suppose n*v - 3*v + 2 = 0. What is the least common multiple of 4 and v?
4
What is the common denominator of (-4)/18*3/(-30)*-1 and -43/7?
315
Let g = -31 - -7. Let w = -8 + 26. Calculate the smallest common multiple of w and (16/g)/((-1)/15).
90
Let r(h) = h**3 - 2*h**2 + 2*h - 3. Suppose j + 3*j = -z + 2, 5*j = 5*z - 10. Let a be r(z). Calculate the least common multiple of 22*((0 - a) + 2) and 18.
198
Suppose 10*g + 11880 = 5*g. Let q = -33237/14 - g. Calculate the common denominator of (-2)/(-4) + 356/(-64) and q.
112
Let d = 47255253212/26619443415 - -54/3767791. Let r = d - -2/785. Calculate the common denominator of 5/7 and r.
63
What is the least common multiple of 205 and ((-12)/(-24))/((-6)/(-480))?
1640
Let g(h) = 15*h + 5. Let r = 0 + -13. Let w(x) = 7*x + 2. Let f(v) = r*w(v) + 6*g(v). What is the least common multiple of 11 and f(-5)?
99
Suppose 0*s - 16 = -4*s - 2*q, -10 = 5*q. Let c = -62 - -81. Suppose -8*w + c = -5. Calculate the smallest common multiple of s and w.
15
Let q(k) = 8*k + 2. Let b(t) = -t. Let v(h) = 5*b(h) + q(h). Let w be (4/8 - 1)*-4. Calculate the smallest common multiple of v(w) and 16.
16
Let b be (-2 - -7)*(-36)/(-30). Let i = b + -5. Find the common denominator of 137/6 and 1/i + (-339)/18.
6
Suppose -40 = -5*c + 3*c. Suppose 1406 = 87*l - 160. What is the smallest common multiple of l and c?
180
Let i = 157 + -142. Calculate the lowest common multiple of i and 3.
15
Calculate the common denominator of 297/(-165) - 2358/(-1360) and 67/18.
1224
Calculate the common denominator of -5 - (5 - 30*(-60)/(-128)) and (39/72)/(4/(-42)).
16
Suppose -2*x - 10 = 0, 5*x - 137 = -0*l - 3*l. Calculate the common denominator of (-1234)/36 + (-12)/l and (1/4)/(44/(-32)).
22
Let b = -15690 + 251137/16. Find the common denominator of b and 2*(-3)/12 - 32/(-12).
48
Suppose 0 = -b - 0 + 3, 2*b + 2 = 4*u. Suppose -17 = -3*k - q, -u*k + q + 13 = 2*q. What is the lowest common multiple of k and 8?
8
Let h = -10745/342 + -14/171. Let n(q) = -7*q + 4. Let i(v) = -1. Let u(l) = 2*i(l) + n(l). What is the common denominator of u(5) and h?
2
Let o = -17 + 4. Let k = o + 29. Let f = -70 - -72. What is the least common multiple of f and k?
16
Suppose -2*x - 5*s + 2174 = -2121, -4*x + 8583 = 3*s. Let h = 8661/4 - x. What is the common denominator of h and 79/10?
20
Let v = 52555/2 - 25798. Let f = 11000/23 - v. Calculate the common denominator of f and -10 + ((-2619)/(-198) - 6).
506
Let i be 2/6*-1*(-6)/(-1). Let n(t) = -2*t**3 - t**2 - 3. What is the smallest common multiple of n(i) and 8?
72
Let m(q) = q**2 - 5*q - 1. Let o be m(5). Suppose -5*a + 60 = 5*v, -8*v + 3*v + 5*a + 100 = 0. What is the smallest common multiple of v and 21 + (-1 - o - 1)?
80
Let u = 2104 + -16923/8. What is the common denominator of (15/20)/(60/(-232)) and u?
40
Let a = -5069/6 - -848. Let r = 5207 + -41591/8. Calculate the common denominator of r and a.
24
Suppose -13*t - 15 = -10*t. Calculate the common denominator of 27/14 and (t/10)/(21/(-285)).
14
Let v = 6 + 2. Suppose -147 = -7*f + 273. Let o = f + -51. What is the smallest common multiple of v and o?
72
Suppose -24*g = -600 - 360. What is the least common multiple of g and 8?
40
What is the smallest common multiple of 40 and (-5082)/(-78) + 24/(-156)?
520
What is the common denominator of 107/20 and (360500/(-4632))/25 - -3?
11580
Suppose d - 4*r - 24 = 0, -d - 2*r - 1 = 5. Suppose -23 = -4*j - x, 0 = j - 0*j + d*x + 13. What is the smallest common multiple of j and 20?
140
Suppose -10 = -4*g - 6. Find the common denominator of (-14)/4 - (0 - g) and 40.
2
Suppose 0 = -z + 2*f + 1, 3 = 17*f - 14*f. Calculate the lowest common multiple of 15 and z.
15
Suppose 5 = -4*a + 33. Suppose 0 = -b - a + 9. What is the least common multiple of 2 and b?
2
Let t = 9639/10 + -972. What is the common denominator of (-3 + (-96)/21)/(-1) and t?
70
Let c(l) = -2*l + 7. Let q be c(6). Let b = q + 14. Find the common denominator of -17/6 and (-4)/(-10) - b/2.
30
Suppose 3*h + 8 = 3*y + 2*h, -2*h - 12 = -4*y. Suppose 36 = 4*p - y*w, 0 = 5*w + 5 + 5. What is the lowest common multiple of 31 and p?
248
Let j = 1/7579524 - -1118044215943/83374764. Let k(n) = -164*n**2 + 14*n + 5. Let i be k(-9). Let y = i + j. Find the common denominator of y and -85/22.
22
Calculate the least common multiple of (7 + (-4 - 6))/((-12)/664) and 8.
664
Calculate the common denominator of (-732)/1792 - 11/(-77) and -87/8.
64
Let i = 9269/24 - 387. Find the common denominator of 20/9 and i.
72
Let y be 1/(((-7)/(-3))/(-7)). What is the common denominator of (y/7)/(-1 - (-9)/(-7)) and 69/16?
16
Let x be 2 + -1 - -29 - 2. Suppose -504*t - 18 = -506*t. Calculate the lowest common multiple of t and 3/9 + x/6.
45
Let b(w) = 2*w + 1. Let x be b(3). What is the lowest common multiple of -2 + -2 + x + -2 and 4?
4
Let t(m) = 219*m + 11. Calculate the least common multiple of 7 and t(1).
1610
What is the common denominator of 121/120 and (4 - (6 - 1)) + 392/(-320)?
120
Let h(d) = -3*d**3 - 4*d**2 - 10*d - 14. What is the least common multiple of 532 and h(-2)?
532
Let d(t) = t**3 - 9*t**2 - 3*t + 7. Let x be d(9). Let k(a) = a**3 + 21*a**2 + 19*a - 12. What is the smallest common multiple of k(x) and 2?
8
Let u = 294130339/5 + -58637033. Let f = -188214 + u. Let g = 816 - f. What is the common denominator of 89/6 and g?
30
What is the lowest common multiple of (-145 + -3)*(-6 - -5) and 22?
1628
Let r = -158629/22 + 7213. What is the common denominator of 762/(-84)*-1 + -9 and r?
154
Calculate the smallest common multiple of 63 and (6 - 119/(-105)) + 2/(-15).
63
Let v = 2517/5 + -55079/110. Let d = 6729/10 + -668. Find the common denominator of v and d.
110
Let w = 6 - -34. What is the lowest common multiple of w and 20?
40
Let b = 6848/411 - -2/411. Let d = -14263/11 + 1299. What is the common denominator of d and b?
33
Let m(f) = f**3 + 4*f**2 - 3. Let l = 5 + -8. Calculate the least common multiple of m(l) and 8/((-72)/63) + 21.
42
Suppose 28 = o + 3*o. What is the least common multiple of o and (7/3)/((-105)/(-90))?
14
Let q = 350 + -3499/10. Let z = -376 - -6739/18. Calculate the common denominator of q and z.
90
Suppose 4*v - 28 = 2*j, -3*v = -3*j - 0*j - 18. Let w = v - -14. What is the smallest common multiple of (-176)/(-12)*(-3)/(-2) and w?
22
Suppose 5*q + 2 = 3*h, 0*h - 3*q + 24 = h. Find the common denominator of (-53)/30 - (-4)/6 and (-147)/h + (-8)/(-20)*5.
30
Let i = 30236 - 2721149/90. Calculate the common denominator of i and 29/54.
270
Let m be 10*3/(-24)*(-68)/30. Let s = m + 26/3. What is the common denominator of s and -73/6?
6
Suppose 6*a - 144 = 342. What is the least common multiple of 33 and a?
891
What is the common denominator of (-27080)/(-560) + (-1)/(-7) and -67/2566?
2566
Let f(w) = w - 4. Let h be f(4). Calculate the smallest common multiple of ((-12)/(-5)*7/28)/(2/10) and 11 - (h - (-1 - -1)).
33
What is the common denominator of 101/8 and -7*(-1)/16*(-2886)/(-1001)?
88
Let a(l) = 2*l**2 + 2*l + 1. Let v be a(2). Suppose 28 = j - 44. Find the common denominator of v/4*j/(-60) and -48.
10
Suppose -8*h - 51 = -12*h - u, h = 5*u + 39. Calculate the smallest common multiple of 4 and h.
28
Let w