he common denominator of z and -53/4?
12
Let d = 7/4804 + -100919/24020. Calculate the common denominator of d and (-4)/5*210/(-44).
55
Let g(m) = -m**3 + 10*m**2 - 8*m - 36. Let w be g(6). Find the common denominator of -27/2 and 8/w - (-548)/(-420).
70
What is the common denominator of (-51)/180*200/240 and -61/9?
72
What is the lowest common multiple of 10 and 124/403 + (-378744)/(-78)?
24280
Let u(r) = -r**2 - 10*r - 12. Let v be u(-10). Calculate the lowest common multiple of 1 + 0 + 39/3 and 3/2*(5 + -5 - v).
126
Calculate the lowest common multiple of (-1)/((-1)/84)*(-261)/(-174) and 648.
4536
Suppose 4*k + 5*t - 2556 = 0, 502*k + 4*t = 499*k + 1917. Calculate the least common multiple of k and 1491.
4473
Suppose 4*m - 48 = 4*b, -3*m = 2*b - 10 - 11. Let a(p) = p**3 - 54*p**2 + 106*p - 86. Calculate the lowest common multiple of a(52) and m.
18
Let h be -1*((2 - 1) + 223353/(-72)). Let o = 3095 - h. Calculate the common denominator of ((-228)/(-135))/((-2)/(-6)) and o.
120
Suppose -137317 = 3*k - 4*y, -k + 5*k + 183136 = -4*y. Let q be 2/(-22890)*k - 4. Let o = q + 39829/4578. Calculate the common denominator of o and -13/16.
80
Let r = 126206 + -36725894/291. Let t = 481870/13 - 373941507/10088. Let n = r - t. Calculate the common denominator of 19 and n.
24
Suppose w - 310 = -h, 54*w - 5*h - 634 = 52*w. Calculate the lowest common multiple of 21 and w.
2184
Suppose 167 = 63*k - k + 43. What is the least common multiple of k and 137?
274
Suppose 31*l - 29*l - 12 = 0. Let o(p) = -p**2 + 9*p + 6. Let x be o(10). What is the lowest common multiple of (-66)/(-8) + 1/x and l?
24
Let f = -15 - -22. Calculate the lowest common multiple of (5 - f)*(-9 - (-1 - -3)) and 19 + -1 - 4 - -2.
176
Suppose -4*n + 272 = -4*z, -n + 78 = z + 3*z. Let l be ((-2)/2984*-245354)/n. Let p = -2/2611 - l. Find the common denominator of p and 29/6.
60
Suppose 10259 = 2*r + h, 13*r - 7*r = -5*h + 30771. Calculate the lowest common multiple of r and 4.
20524
Let t = -41941/1062 - 4/531. Calculate the common denominator of t and -47/46.
46
Let l(y) = -92*y + 1574. Calculate the least common multiple of 16 and l(14).
2288
Let a = -95 - -94. Let x be 15332/(-1020) - 0/a. Let l = -78/5 - x. Calculate the common denominator of 49/12 and l.
204
Suppose 0 = 20*r - 16*r + 2540. Find the common denominator of (-5)/(-4)*2916/(-1530) and 2/(-6)*r/(-10).
102
Let t(f) = 77*f - 23. Let a be t(1). Suppose 0 = -21*g + a*g - 3267. What is the smallest common multiple of 33 and g?
99
Suppose 0 = b + 164 - 187. Suppose -15*a = -112 - b. What is the least common multiple of 5 and a?
45
What is the common denominator of (172650/17685)/(-5) + 2 and -75/524?
4716
Suppose -7*j + 12*j = 30, 4*j = -b + 52. What is the smallest common multiple of b and 686?
1372
Let r be 22*((-6)/2 - 231/22). Calculate the common denominator of -3 - (1/(78/r) - -3) and (1/1)/(18/11).
234
Let o be (-113)/(-9) + (-272)/(-612). Let i(p) = -p**2 + 28*p - 184. Let v(j) = -j**3 + 4*j**2 - j + 5. Calculate the least common multiple of i(o) and v(4).
11
Let w(r) = r**2 + 11*r + 13. Let l be w(-9). Let o = l - -3. Find the common denominator of -13/5 and (1 + -25)*(-2)/(-68)*o.
85
Suppose 3*s - 49 = -4*q, -5*q = -9*s + 11*s - 28. What is the lowest common multiple of 425 and s?
8075
Suppose -2*c = t + 2, 4*t + 2*c - 7*c = 18. What is the lowest common multiple of 239 and t?
478
Let d = 59 + -61. What is the least common multiple of (6*d/(-21))/((-20)/(-140)) and 152?
152
Let a(i) = -2*i**3 + 20*i**2 + 3*i + 11. Let w be -10*9/(-12)*2. Let u be a(w). Let r = 17495/8 + u. What is the common denominator of r and 77/38?
152
Suppose 4*o = -37 - 3. Let s be (1/(-3))/(o/26289). Let b = 877 - s. What is the common denominator of b and -31/20?
20
Suppose 5*k + 115 = 3*p, -95 = -4*p - 8*k + 3*k. Calculate the common denominator of (1/2)/(p/(-260)) and 48.
3
Suppose -12*d + 3 = -9*d, -131 = -5*q + 4*d. Suppose -30*z = -q*z - 195. Calculate the least common multiple of 55 and z.
715
Let f be ((-4)/6 + 44/(-6))/1. Let t(w) = w**2 + 5*w - 18. What is the lowest common multiple of 60 and t(f)?
60
Let l be 1 + (-16)/4 + 7. Let z(t) = -t**3 - 17*t**2 + 17*t - 19. Let k be z(-18). Let d = l + k. What is the lowest common multiple of 11 and d?
33
What is the least common multiple of 27 and (-828)/8*((-312)/18 + 4)?
12420
Let x be 633002/(-36) - 7/((-49)/14). Let c = 17589 + x. Calculate the common denominator of -95/4 and c.
36
Suppose 0 = -4*g - 3*n - 353750, -4*g - 3*n = 2*n + 353746. Let o be g/3*(-87)/290. Let l = 8832 - o. What is the common denominator of l and 25/24?
120
Calculate the common denominator of -45/352 and (-5567)/(-704) + (-624)/78.
704
Suppose 2 = -2*k, -2*a + 4*k - 30 + 2 = 0. Let q = -50 - -84. Let u = a + q. What is the lowest common multiple of 6 and u?
18
Let s(v) = 19*v - 14. Let f be (1 - 0) + 445/(-5). Let w = f + 90. What is the smallest common multiple of 18 and s(w)?
72
Calculate the least common multiple of -42*(-10)/(-45)*(44/(-28) + -1) and 176.
528
Suppose -9*j - 83 = -56. What is the least common multiple of 20 and j/(84/(-8)) - 729/(-21)?
140
Suppose 2*x + 14861 = -3035. Let z be (x/(-264))/(3/(-27)). Let h = -305 - z. Calculate the common denominator of h and 73/10.
110
Let v = -273131/22 - -12413. Let i(z) = -6*z**3 - 7*z**2 - 8*z - 6. Let f be i(-5). Calculate the common denominator of v and f/(-72) + (-8)/12.
88
Suppose 85*x = 107*x + 1034. Suppose 0 = -0*v - v. What is the common denominator of -71/22 and (v + (-67)/2)*x/(-470)?
220
Let h(c) = c + 3. Let i be h(3). Let r be (5/6)/(1/i). Suppose -r*q + 20 = -0*q + 5*s, -16 = -4*q - s. What is the smallest common multiple of 1 and q?
4
Let m = 21362039/120 + -178018. Find the common denominator of -99/160 and m.
480
What is the common denominator of (40 - 44) + ((-327)/(-84) - -2) and ((-62)/(-10))/((-420)/125)?
84
Suppose b = 4*u + 31, -2*u - 8 = 2*b - 4*b. What is the common denominator of (1 - 11)*u/36 and -85/12?
12
Let c = 2/317937 + 956671897/85207116. Let y = c + 35/67. What is the common denominator of y and 23/8?
8
Calculate the common denominator of (155909/(-390))/67 - (-2)/6 and -5/69.
690
Let p be (-1)/((-120)/91532) + (-8)/(-20). Let z = p + -767. Find the common denominator of 19/66 and z.
66
Let k be 4 + (4 - 302/(-7) - 1). Let w = k + -3235/56. Find the common denominator of w and 57/20.
40
Let t = 22 - 19. Suppose 0 = -o - t + 13. Suppose -g + 2*g = o. Calculate the lowest common multiple of g and 4.
20
Suppose -31280 = -2*w + 7*r - 3*r, 3*w + 4*r = 46920. Let f = 672490/43 - w. What is the common denominator of ((-162)/(-20))/(((-858)/(-55))/(-13)) and f?
172
Let z be 0 + -1 + 15 - (-1 - -3). What is the common denominator of -149/48 and (3/z)/((-65)/(-1339))?
240
Let t = -9287/24 + 1174/3. Let m = 17041/3 + -5663. What is the common denominator of m and t?
24
Suppose 4*w = -4*d + 2*w + 72, -56 = -3*d - 2*w. Suppose 66 = -5*g + d*g. Suppose 0 = -5*n + 13 + 47. Calculate the least common multiple of g and n.
12
Let a = 349543/71082 + 148540700585/67670064. Let i = a - 37410/17. Calculate the common denominator of i and -89/56.
112
Let a(k) = 4*k**2 - 341*k + 333. What is the smallest common multiple of 7 and a(90)?
14301
Let o(x) = 4*x**2 - 2*x - 2. Let n be o(1). Suppose -6*y + 1437 + 615 = n. What is the lowest common multiple of 18 and y?
342
Let n = -1/13321 + -386277/426272. What is the common denominator of n and (1786*50/34200)/((-6)/4)?
864
Find the common denominator of ((-1232)/(-660))/(6/(-20)) and 151/786.
2358
Suppose 0*x = -4*x + 352. Suppose -2601*a + 2602*a - 2*k - 32 = 0, -5*a + 190 = -5*k. What is the least common multiple of a and x?
88
Let o = -5876/3 + 575977/294. What is the common denominator of -77/30 and o?
1470
What is the lowest common multiple of 879 and ((-96)/320 + -82*1/10)*-24?
59772
Suppose -20*q + 29653 - 2653 = 0. What is the smallest common multiple of q and 900?
2700
Suppose -219*u - 222*u - 378 = -450*u. Let m = 64 - 34. Calculate the lowest common multiple of u and m.
210
What is the common denominator of (-57)/(-369) - ((-3)/9)/1 and -59/5?
205
Let q(g) = 7*g**2 + 421*g + 50. What is the lowest common multiple of 224 and q(-61)?
2912
Let r = -25905289/3540 - 249034/177. Let x = r + 8