4.
44
Let h be (3 + -48)/(-9)*(0 + -4). Suppose 6*o + 400 = o. Find the common denominator of h*-34*(-5)/o and -55/8.
8
Suppose -3*i - 11*i + 56 = 0. Suppose -4*q + t + 45 = 0, 3*q - i*t - 54 + 4 = 0. Calculate the smallest common multiple of q and 63.
630
Let l(c) = 96*c**3 - 2*c**2 + 2. What is the least common multiple of l(1) and 2/24 + 92080/960?
96
Calculate the common denominator of 0 + -2 - 1557/(-360) and -19/132.
1320
Calculate the lowest common multiple of -11 + 391/((-17)/(-1)) and 6334.
38004
Let y be -5 + (-266)/(-35) + ((-12)/10)/2. Let f = 17 - 4. Suppose f = 3*m - 2*b, -b = -4*m + y + 12. Calculate the lowest common multiple of m and 2.
6
Suppose -4*p - 2*d + 250 = 0, 0 = 2*p + 6*d - d - 105. Let z = p + -51. What is the smallest common multiple of 1 and z?
14
What is the common denominator of 332/21*78/208 and -3 - (836/(-64) + 5)?
112
Let m = 421/21 + -26696/105. Let p = m - -2323/10. What is the common denominator of 65/2 and p?
10
Let t = -28923566789/190342572 + 1245282/8309. Let j = 1/1909 + t. Find the common denominator of j and 41/124.
372
Suppose 359*v - 219*v = 85260. Calculate the least common multiple of v and 420.
12180
Suppose -4*l = 2*w + 9 - 17, -3*l = -3*w - 6. Let v = -11 - -15. Suppose l = 2*g + 2*j - 6, 0 = -v*g + 5*j + 7. Calculate the least common multiple of g and 6.
6
Let x = -164237/6 - -27374. Let n = 28/51 + -1501/102. Calculate the common denominator of x and n.
6
Let j be (-6)/(-3*(-3)/(-6)). Suppose 0 = j*o - 5*o - 14366. Let p = o - -833185/58. What is the common denominator of p and -11/5?
290
Let d = -76624243/450 - -170276. What is the common denominator of -79/36 and d?
900
Let y(w) = 2*w**2 - 11*w - 15. Let a be y(7). Let i be 1 - 8/a - 9082/(-57). Calculate the common denominator of (1/(-3))/(2 + i/(-77)) and 65/18.
90
Let j(w) = w**3 - 17*w**2 + 17*w - 4. Let v be j(16). Let n be 90812/(-55) - v/(-30). Let p = 1652 + n. What is the common denominator of -22/3 and p?
33
Suppose -u + 5*u - 108 = 4*v, 79 = 2*u + 3*v. Suppose 5*k = i + 27, -4*i + 4*k + 4 - u = 0. Calculate the common denominator of -85/22 and i/9 - (-1989)/(-648).
264
Let f = 7153 - 314675/44. Suppose 0*t - 5*q + 38 = -4*t, -t - 8 = -2*q. Calculate the common denominator of t/8 - 32/10 and f.
220
Let y(u) = -47*u + 1. Suppose 2*x + 138 = 5*x + 3*q, -202 = -5*x + 2*q. Calculate the smallest common multiple of x and y(-1).
336
Suppose -3*a + 380 = 2*q, 0*a = 2*a + 5*q - 235. Let z = 134 - a. What is the lowest common multiple of 3 and z*(-3)/(-12)*10/2?
15
Let j be 5 - ((-14)/(-49) + (-16)/7). Suppose j*s - 1356 = s. Let q = 909/4 - s. Find the common denominator of 2/9 and q.
36
Let q(w) = 2*w**3 + 9*w**2 - 51*w + 2. Calculate the smallest common multiple of 21 and q(-7).
798
Suppose 2*j - 18 = -4*z, -j - 2*j = -2*z - 3. Suppose 422 = 3*r + u, 407 = j*r - 3*u + u. Let n = r - 119. Calculate the lowest common multiple of n and 8.
40
Let y = -537764469/5012 + 2145897/20. Let o = y + -10/1253. Find the common denominator of o and 13/40.
280
Let a(n) = n - 2. Suppose 4*k = b - 73, -2*b - 36*k = -31*k - 16. Calculate the lowest common multiple of b and a(5).
33
Suppose 4*t - 268 = -3*s, 5*s + 1954*t = 1957*t + 553. Let n = 2 - 0. Calculate the least common multiple of s and n/8 + 110/8.
728
Let a = -347 + 837. Let r = -480 + a. What is the lowest common multiple of r and 276?
1380
Suppose 0 = -3*n - n. Suppose n = 3*y - 3, -2*r + 0*y = 4*y - 28. Let m = -41 + 46. What is the lowest common multiple of m and r?
60
Let g be -3 + 51/18 - (-105)/(-18). Let j be 60/8 - (-3)/g. What is the least common multiple of 8 and 4 - (j + -1) - (-69 + -1)?
136
Let q(s) be the first derivative of 4*s**3/3 + 75*s**2/2 + 9*s - 7. What is the lowest common multiple of q(-19) and 20?
140
What is the least common multiple of 34/(-14) + 3 + (-10523)/(-119) and 57?
5073
Let t be (-2)/4 + (-10)/(-20). Suppose t = -4*w + 231 + 13. Let p = -45 + w. What is the lowest common multiple of p and 16?
16
Suppose 12*w - 4 = 14*w. Let r(m) = -5*m**3 + 3*m**2 - 2*m - 6. Let h be r(w). Suppose n = h - 46. Calculate the lowest common multiple of 12 and n.
12
Find the common denominator of 26/363 and (-4)/11*245/(-3528)*(-129)/(-90).
13068
Suppose -2*t + 4*p + 1432 = 0, -p - 285 = -t + 437. Calculate the least common multiple of 196 and t.
5096
Suppose -2*a = -6*a + z, a + 3*z + 13 = 0. Let h be (9/3 - a) + 23. Suppose -2*b + 1 + h = 0. What is the least common multiple of b and 18?
126
What is the common denominator of (106 - -1)*1/30 and (-2)/(-52*104/(-23998))?
120
Let u be 1685/(-70) + (-2)/4. Let k = 83709323/70 + -1195824. Let l = u + k. Calculate the common denominator of 57/2 and l.
10
Let n(l) = -l**3 + 20*l**2 - 46*l - 2. Let m be n(16). Suppose m = 10*p + 16. Calculate the least common multiple of p and 99.
297
Let r = 29 - 24. Let a(t) = -r + 7 + t + 19. Calculate the lowest common multiple of a(-15) and 24.
24
Let l(i) = i**2 + 7*i + 4. Let z(u) = u**2 + 20*u + 44. Let b be z(-17). What is the lowest common multiple of l(b) and 284?
284
Let y(k) = 78*k - 1449. What is the lowest common multiple of 3027 and y(19)?
33297
Calculate the common denominator of -121/644 and -166*(2/19 + (-19359)/188784).
1288
Let d(n) = -n**3 - 6*n**2 + 3*n - 21. Let w be d(-7). Suppose w*o + 140 = 21*o. Calculate the lowest common multiple of o and 148.
740
Let s be ((-1316)/141)/((-1)/(-6)). Calculate the least common multiple of 16 and (2 - s/(-24))*-24.
16
Let x = 59877 + -1317241/22. Suppose 3*o + 4758 = -7416. Let z = o - -56919/14. Calculate the common denominator of z and x.
154
Let f = -88441/28 + 3159. Find the common denominator of f and 36/637.
2548
Suppose 5*a - 22 = -7. Suppose a*k - 30 = k. Suppose k*h - 10*h - 50 = 0. Calculate the lowest common multiple of h and 20.
20
Calculate the common denominator of -5/243 and (((-292)/(-3))/2)/((-140)/(-21)).
2430
Suppose 4*a = 2*a + 8. Let q be ((-28)/(-16))/((-3)/(-2 + -10)). Let s(p) = 33*p - 223. What is the smallest common multiple of a and s(q)?
8
Suppose 2*c = 0, 23*c = -4*j + 19*c + 48. Let y(o) = o**2 - 10*o + 7. Let z be y(8). Let x(p) = -p - 8. What is the smallest common multiple of j and x(z)?
12
Let m(i) = 6*i + 0*i - 4631*i**2 + 18 + 4632*i**2. Calculate the lowest common multiple of m(-4) and 68.
340
Let n(q) = 31*q**2 + 6*q - 65. Let z(v) = 49*v**2 + 9*v - 98. Let l(a) = 8*n(a) - 5*z(a). Calculate the lowest common multiple of l(3) and 21.
42
Suppose s = 5*s - 188. Calculate the common denominator of s/(-5)*((-84)/(-16) - 5) and (1 + -3)/((-600)/(-505)).
60
Let d = -29049/2 + 14522. Calculate the common denominator of 56/34 + (-1 - 1) and d.
34
Suppose 0*z + 11 = z. Let r be (-6)/9*((-4)/2 + z). What is the least common multiple of r/(-24) + 71/4 and 1?
18
Let r(c) = 2*c**2 + 4*c + 4. Suppose -3*w + 0*d + 55 = 2*d, -2*w = 4*d - 34. Let v = w - 23. What is the lowest common multiple of r(v) and 28?
140
Suppose -o + 3*u = u + 401, 2*o - 3*u = -800. Let m = o - -452. What is the smallest common multiple of 3 and m?
165
Suppose 16 = -4*w, -3*g + 2*g = -2*w + 52. Let n be (21/g)/(321/19868*1). Let x = n + -2/535. What is the common denominator of x and 43/12?
12
Let k = -835863 + 511548043/612. Calculate the common denominator of k and 13/6.
612
Calculate the common denominator of 17/27 and 190/2564*(6/3 - 2470/1425).
17307
Let s = 63003872/411 - 153294. Calculate the common denominator of s and -20.
411
Let c = 69 + -36. Let u = -51 + c. Find the common denominator of 2781/36*4/u and 42.
6
Let f = -2574 + 2618. What is the least common multiple of 28 and f?
308
Let s = -110 - -118. Calculate the smallest common multiple of 60 and ((-90)/(-2))/(s - 7).
180
Calculate the smallest common multiple of 843/3 - (7 - (-1 + 8 + 5)) and 52.
572
Let l be (-14)/(-14)*-1*(0 - 1). Find the common denominator of -67/80 and l - 7/((-392)/(-371)).
80
Suppose 7*j = 1572 - 6164. Let t = j - -1176. What is the common denominator of (-6*2/(-10))/(256/t) and 11/14?
112
Let j(s) = -s + 55. Let v be j(-14). Let d = v + -51. Suppose -o - 5 = -2*f - 0*f, 3*o + 7 = 4*f. What is the smallest common multiple of d and f?
36
Let u = 10922 + -382226/35. Find the common denominator of -3/2212 and u.
11060
What is the common denominator of 1