 s. Calculate the common denominator of p and -48.
5
Suppose -4 = -3*p + 2*p. Calculate the least common multiple of p and (-56)/21*66/(-8).
44
Let r = 4099 + -73733/18. Find the common denominator of 34/(-3)*6/(-32) and r.
72
Let k = 40227/3239 - 531/41. Find the common denominator of 4/7 and k.
553
Suppose 15*s = 475 + 2495. Calculate the smallest common multiple of 2 and s.
198
Let k = -2655 + 116829/44. What is the common denominator of -51/110 and k?
220
What is the smallest common multiple of (12/(-11))/((-72)/396) and 97?
582
Let f(b) = -b**2 - 8*b + 6. Calculate the smallest common multiple of 63 and f(-6).
126
Let a be 9/7 - (-6)/(-21). Let i = 1259/4 + -337. Calculate the common denominator of i and ((-122)/8 - a)*-2.
4
Suppose 0 = r + 8*r - 45. Suppose 0 = x - 0*c + 3*c - 27, -65 = -3*x - r*c. Calculate the lowest common multiple of x and 9.
45
Let h(f) = -1634*f**3 - f**2 + f - 1. Let s be h(1). Let q be s/18 - 1/6. What is the smallest common multiple of (-14)/q - (-724)/26 and 8?
56
Let g = 15 + -12. Let s(n) = n + 2. What is the least common multiple of s(2) and 2/(-1) + 1 + g?
4
What is the common denominator of -2 + (-4 - 71/18 - -3) and -37/132?
396
Let f(g) = -g**2 + 54*g - 80. Suppose -7 = -4*r + 5. What is the least common multiple of r and f(52)?
24
Suppose 895*d - 904*d = -99. What is the smallest common multiple of 227 and d?
2497
Let y = 339 - 279. Calculate the smallest common multiple of 12 and y.
60
Let u(l) = l**2 + 19*l + 34. What is the least common multiple of u(-18) and 904?
1808
Let i(s) = s**3 + 17*s**2 - 5*s - 19. What is the least common multiple of i(-17) and 402?
4422
Let a(b) = 4*b - 3. Let h be a(2). Let f = 8 - h. Suppose -2*l - l - 3*z = -f, -2*l - 5*z - 7 = 0. What is the least common multiple of 8 and l?
8
Suppose -5*n + n = -12, 0 = 5*g - 5*n + 5. Suppose g*f - 59 = 2*m + f, -4*m - 117 = -3*f. What is the smallest common multiple of 14 and ((-8)/20)/(2/m)?
42
Let p(k) = 18*k - 1. Suppose m + 5*z = -52, 140 = -3*m - z + 2*z. Let y = -38 - m. Calculate the least common multiple of p(1) and y.
153
Let g = -236317/62 - -3810. What is the common denominator of g and ((-117)/24)/3*-5?
248
Suppose -2*m = 4 - 10. Calculate the least common multiple of 16 and (m/4 - 1045/(-132))*3.
208
Let u = -2949 + 11739/4. Find the common denominator of u and -23/30.
60
What is the common denominator of 30/(-50) + (-469)/(-440) and 45/88?
88
Calculate the common denominator of 109/140 and (15/(-90)*-20)/((-8)/6).
140
Let i be (0 - 0) + (0 - -2). Suppose -j + 3 = 2*k, 2*j + 3*j = -i*k - 17. Suppose -q + 55 = k*q. What is the smallest common multiple of 1 and q?
11
Let k(n) = -n**2 - 32*n - 30. What is the least common multiple of 126 and k(-26)?
126
Let i(q) = q**3 + 2*q**2 + 3*q + 2. Let k be i(-4). Let r be (-149)/(-7) - (-12)/k. Let z = r + -12. What is the smallest common multiple of z and 9?
9
Suppose 12498350 = 3*w + 5*z, 0*w - z = -5*w + 20830602. Let c = w + -1624783847/390. Let x = c - -122/39. Calculate the common denominator of x and -27/16.
80
Let c(u) = u**3 - 2*u**2 - 2*u + 18. Let b be c(0). Let a = b - 15. Calculate the least common multiple of 3 and a.
3
Let t = 3042/5 + -54311/90. Let n = -250/22671 + 65847139/22671. Let o = -5817/2 + n. Calculate the common denominator of t and o.
198
Suppose -2 = 2*t - 6. Let h = 50 + -30. Let p = h + -9. What is the lowest common multiple of t and p?
22
What is the common denominator of -58/57 and 299280/(-32832) + (-27)/(-3)?
684
Let n be 120*(-165)/(-2)*1. Suppose -n + 482 = -2*m. Let l = m - 47191/10. Find the common denominator of -50/7 and l.
70
Suppose 48 = -20*f + 23*f. What is the common denominator of -61/9 and -4 + ((-118)/21)/(f/(-18))?
252
Let n = 41/14 + 415/126. Let a = 7385/8 - 925. What is the common denominator of n and a?
72
Let t = -59 + 63. Calculate the lowest common multiple of 7 and ((-30)/t)/(3/(-4)).
70
What is the common denominator of -62/111 and (2/(-16))/(-10*1998/(-72720))?
222
Let m = 1327/13464 - 15/88. Find the common denominator of m and 125/12.
612
Calculate the smallest common multiple of 13/2 + 7/14 and (-88)/33*(-5)/((-40)/(-6)).
14
Let t = -3972 - -87399/22. Suppose 5*n + 0*a - 3*a - 206 = 0, -3*n + 2*a = -124. What is the common denominator of 8/(-20) + 956/n and t?
22
Let a = -731/6 - -126. Let u = -1843/1639 - -5/149. What is the common denominator of a and u?
66
Let o = 23 - 17. What is the least common multiple of (o/5)/((-163)/(-20) - 8) and 25?
200
Let o(w) = 2*w - 7. Let g be (-2 - (-3)/3)*6. Let a be o(g). Let m = -11 - a. Calculate the smallest common multiple of 2 and m.
8
Let f = 3417875/17061 - -4/5687. Let r = -59785/12 - -15521/3. Let o = f - r. Calculate the common denominator of -45/2 and o.
4
Suppose 2*b - c - 35 = 0, 2*b + b - 4*c - 45 = 0. Suppose -2*y - 2*v + 5 = -b, 3*y + 2*v - 40 = 0. What is the lowest common multiple of y and 22?
176
Let v = -115 - -272. What is the smallest common multiple of 6 and v?
942
Suppose -4*w - 2*f = -3*w - 8, -w + 20 = 5*f. Suppose w = 2*p + r - 4, 2*r + 3*r + 8 = -3*p. What is the lowest common multiple of p and 9?
36
Let b(h) = -2*h + 3. Let k(x) = 3*x - 5. Let f(c) = 7*b(c) + 5*k(c). Let a be f(7). Calculate the common denominator of -65/36 and 1/a + 161/210.
180
Calculate the common denominator of (-18)/24*(-108)/92 and -59/230.
460
Let x = 465830737/7590 - 4234744/69. Let u = x - -19/345. Calculate the common denominator of u and -2*((-1221)/(-72))/(-11).
132
Suppose -4 = 3*i - 19. What is the lowest common multiple of 0 - 2 - (6 + -9) and i?
5
Suppose -6*t + 54 + 30 = 0. What is the smallest common multiple of 14*t + -11 + 11 and 18?
1764
Let h = 19 + -31. Let w be 73/4 - (-3)/h. Suppose 37 = 5*y - w. What is the smallest common multiple of 2 and y?
22
Let k(g) = -g - 8. Let b be k(-8). Suppose 3*l - 14 + 74 = b. Find the common denominator of -19/16 and 8/l + 237/(-70).
112
What is the least common multiple of (-1)/((-10)/(-10)) + (-1742)/(-2) and 4?
1740
Let h = 8563/5 + -31709/15. Let l = 11959/30 + h. What is the common denominator of l and (-30 + 25)*29/6?
30
Suppose 112 = -5*u + 3*a, 2*u + 2*a = 6*a - 42. Let f = 37 + u. What is the smallest common multiple of 2 and f?
14
Let b be (2/5)/(10/150). Suppose -4*i = 2*i - b. Calculate the smallest common multiple of i and (-2)/(-1 + 3) + 5.
4
Let d = 21029/4130 + -6/295. What is the common denominator of -83/10 and d?
70
Let p be (2*1)/((-14)/21). What is the least common multiple of (39/9 - 5)*p and 11?
22
Let r(t) = -3*t**3 + 3*t**2 + t - 2. Let k(p) = -2*p**2 + 18*p + 36. What is the smallest common multiple of k(10) and r(-2)?
32
Let l be 25/20 + (-11071)/8852. Let z = 107344/19917 + l. Calculate the common denominator of (1/12)/(3/402) and z.
18
Suppose -3*j - t + 19 = -14, -3*t = -4*j + 31. Let p = j - 13. Calculate the smallest common multiple of (-10)/(-9) + p/27 and 8.
8
Suppose 25 = -2*z - 3*z, -q - 5*z - 16 = 0. What is the lowest common multiple of 3 and q?
9
Let d(b) = 5*b**2 + 4*b - 15. Let s be d(4). What is the common denominator of -95/16 and (33/2)/(s/12)?
144
Calculate the common denominator of (44/8 - -5)*(-14)/12 and -75/98.
196
Let y = -10049/1359 + 26/151. Let b = 55195/11 + -5014. Find the common denominator of y and b.
99
Suppose 8*k - 165 = 5*k. Calculate the common denominator of k/(-2) + (3 - 4) and -53/16.
16
Suppose 0 = -7*t + 275 - 219. Calculate the least common multiple of 17 and t.
136
Let w = -12/325 + 18308/2925. Find the common denominator of w and -33/95.
855
Let p(w) = 42*w + 234. Calculate the least common multiple of p(-5) and 18.
72
Let t = -2/1451 - -46438/4353. What is the common denominator of 119/78 and t?
78
Let d = 5805 + -46523/8. Let y = 30483/31 + -983. Let v = y - 1763/372. Find the common denominator of d and v.
24
Let y = -2 + 2. What is the common denominator of (306/44)/(y + -3) and 2 - (15/(-70) - -2)?
154
Suppose 4*g - 5*m = -g + 15, 0 = -2*g - 5*m + 27. What is the lowest common multiple of (-3)/(34/10 - 4) and g?
30
Let o = -68277 + 275157/4. Let f = 498 - o. What is the common denominator of f and 2/3 - (-2240)/294?
28
Suppose -34 - 2 = -3*g - t, 5*g - t = 68. Suppose -21*p + 32 = -g*p. Let s = 8 + -6. What is the least common multiple of s and p?
4
Let s