h - 235*h - 2280 = 0. Calculate the lowest common multiple of h and 214.
2140
Let f = 2191 + -4267/2. Let l = f + -18. Find the common denominator of l and 26/7.
14
Let l be ((-2)/(-2) + -2)/(34/816). Calculate the common denominator of ((-6)/27)/(80/l) and -64/27.
135
Let k = -218303/462770 - -2/6611. What is the common denominator of k and -88/2835?
5670
What is the common denominator of -117/140 and (-16 + 9214/255)*10/336?
1260
Suppose t - 32 = -3*t. Let a be ((-36)/15)/((-3)/(-8880)*2). What is the smallest common multiple of (5 + -1)/(a/324 + 11) and t?
216
Let o be 56 - (0 - 0) - -2. Suppose -19*g + o = -18*g. Suppose 15*w = 223 - g. What is the lowest common multiple of w and 10?
110
What is the common denominator of (27/1008)/((-27)/(-452)) and 59/21?
252
Let k = -3415655 + 14270606665/4178. Find the common denominator of -35/8 and k.
16712
Let w be (-3632)/(-36) - 6/3. Let t = 83525/846 - w. Calculate the common denominator of t and 19/10.
470
Let m(l) = 35*l**2 - 11. Let w be m(4). Let g = w - 513. Calculate the least common multiple of 36 and g.
36
Let t be (-1262)/(-60)*31377 - -4. Let c = -659145 + t. Let z = c + -824. Find the common denominator of z and 23/2.
10
Suppose -2*m = -3*c + 251, -2*c + 5*m = -154 - 28. Calculate the smallest common multiple of c and 870.
23490
Let w = 8829 + -1348. Let a be ((-2)/(-9))/((220/(-3705339))/(-2)). Let v = w - a. Find the common denominator of v and -59/8.
120
Suppose 0 = -342*j + 150301 + 1875023. Calculate the smallest common multiple of j and 54.
17766
Let o(k) = -k**3 + 3*k + 2. Let w be o(-2). Let m = 375453 + -375425. What is the least common multiple of w/6 - (-32)/6 and m?
84
Let l(k) = k**2 + k - 18. Let s be l(5). Let q be ((4 - 7) + 2)*10. Let z = q + s. What is the smallest common multiple of z and 4?
4
Let n = -249839/42 + 5949. Find the common denominator of n and -71/1540.
4620
Let l be (-1509)/(-30) + (-6)/20. Calculate the common denominator of 49/8 and l/(-75) + 164/(-1464).
488
Let h = 8864 - 8787. Calculate the least common multiple of 287 and h.
3157
Suppose 0 = 18*s - 17*s - 65. Suppose 48*m + 119 = s*m. What is the smallest common multiple of 40 and m?
280
Let u = 153479/10853199 - -46/9067. Calculate the common denominator of 61/114 and u.
2394
Suppose 0 = 29*r - 37*r - 24. What is the common denominator of (-8)/18*r*(-27)/(-32) and 1/(-15)*(-38)/16?
120
Calculate the common denominator of 10/(-4140)*((-1107)/(-18) + 4) and 77/1863.
7452
Let v be (13/((-325)/(-110)))/((-2)/(-30)). Suppose -v*f + 73*f = 77. Calculate the smallest common multiple of f and 36.
396
Suppose w - 5 = -0. Suppose w*r - r - 32 = 0. Suppose -4*t + 20 = -12*x + r*x, -x = 1. Calculate the least common multiple of t and 14.
28
Let s = 284/139 - 17181/1946. Find the common denominator of -93/5608 and s.
39256
Let u be (-2)/(-576)*120438/(-135). Let q = 1/432 - u. Find the common denominator of q and 28/197.
1970
Let g(i) = 6*i**2 - 2*i - 12. Let s be g(6). Suppose -2*f + s = 4*f. Suppose 4*b - 32 - f = 0. What is the lowest common multiple of 30 and b?
240
Suppose -8*d + 13 = -11. Calculate the smallest common multiple of ((-48)/16 - d*-17)*1 and 36.
144
Find the common denominator of 42/231 - 1510/(-44) - 4 and 4/(-18) - (-4)/18.
2
Let u be 15*1*6/(-15) - -10. Calculate the common denominator of 47/162 and (0 + u)*(-399)/(-224).
648
Let c = 4/1695 + 1607/37290. Find the common denominator of c and -9/112.
1232
Calculate the smallest common multiple of 192 and 120 - 0*(-14)/84.
960
What is the common denominator of (-12)/(-324)*12/(-520) and 47/260?
2340
Calculate the common denominator of 121/834 and ((-6489)/756)/(4 - 2).
3336
Suppose -6*n - 102810 = -n. Let z be 14/77 - (-1)/(112970/n). Let b = z + -103723/20540. What is the common denominator of b and 75/22?
220
Let w(d) = 2*d - 29. Let r be w(17). Let s be ((-1)/2*-2)/(r/50). Let m(a) = a**2 - 10*a + 14. What is the least common multiple of m(s) and 16?
112
Suppose -11 = -2*t + 3*x, -4*t - 2*x - 3 - 15 = 0. Calculate the common denominator of (-6 - -4)*t/(32/(-30)) and 34/(-612)*(-570)/(-4).
12
Let p = 3188 - 2390. What is the least common multiple of p and 4?
1596
Let w(i) = 74*i**2 + 3*i - 3. Let q be w(1). Suppose -9*k - 2 + q = 0. Calculate the lowest common multiple of k and 10.
40
Suppose 36*f = -102 + 30. Let h(n) = -2*n**3 + 3*n**2 + 2*n - 2. Calculate the smallest common multiple of 20 and h(f).
220
Let n be -3 - (0 - 0) - (4 + -10). Suppose -2*d = -n - 3. Suppose g - 2*f = 15, 4*g + d*f - 21 = -2*f. What is the smallest common multiple of 3 and g?
9
Let i(z) = -z**2 + 30*z - 206. Let f be i(20). Find the common denominator of 32/91 and (((-100)/195)/((-2)/f))/(-22).
1001
Let b be 10 - (-105352)/(-36) - (1 + 0). Let u = b - -2913. What is the common denominator of u and 62/141?
423
Let i = 16091 - 16007. Calculate the lowest common multiple of 456 and i.
3192
Calculate the common denominator of ((-510)/68)/((-252)/38) and 117/560.
1680
Suppose 19*m - 24*m = 5*i - 13705, -3*i = 4*m - 8225. Let y be (2208/(-3))/((-14)/52). Let j = i - y. What is the common denominator of j and 93/2?
14
Let b = 135577891/556 - 243845. Let g = 1309/2 - 676. What is the common denominator of g and b?
556
Suppose 269*q - 537*q + 275*q - 189 = 0. What is the lowest common multiple of q and 18?
54
Let w = 111745021/24 - 4654915. Let s = 6731/6 - w. What is the common denominator of 125/66 and s?
264
Suppose 4*r - 2*k - 366 = 2*r, -k - 899 = -5*r. Let o = r - 135. Calculate the smallest common multiple of o and 32.
352
Let p = -2657/6 - -1739/4. Find the common denominator of p and ((-54)/(-459) - (-58)/(-204))/((-63)/(-3087)).
12
Let f(n) = 30*n - 135. Calculate the smallest common multiple of f(8) and 63.
315
Let q = 3 - -29. Calculate the lowest common multiple of (28/(-21))/(3/(-144)) and q.
64
Suppose -91364 - 24026 = 11*s. Let u = -220222/21 - s. What is the common denominator of u and -53/33?
231
Let s = -157313/345 - -12188/23. Let h = s + -391/5. What is the common denominator of h and (-4)/(-6) + (-35)/15?
15
Let f = -646 - -648. Suppose f = -2*d - 2, 3*r - 35 = -5*d. What is the lowest common multiple of r and 87?
435
Let k(x) = -3478*x**3 + 9*x**2 - 21*x - 21. What is the smallest common multiple of k(-1) and 6?
20922
Let x(v) = 9*v**3 - 2*v**2 - v + 3. Let b be x(-2). Let t be 0/1 + b/3 + 3. Let u = 26 + t. Calculate the lowest common multiple of u and 28.
28
Let k = 9 + -1. Let s(f) = -6*f**2 - 11*f - 39. Let j(w) = -w**2 + w + 2. Let i(u) = -5*j(u) + s(u). Calculate the lowest common multiple of k and i(-5).
24
Suppose 0 = k + 2*k + v - 3686, 2*k + 4*v - 2454 = 0. Let f be (k/(-3))/((-6)/(-144)). Let u = f + 265493/27. Find the common denominator of -17/15 and u.
135
Let h(u) be the first derivative of u**4/4 + 2*u**3 - 5*u**2/2 - 13. Suppose 7*c - 16 = 3*c. Calculate the smallest common multiple of c and h(-6).
60
Let q(i) = -53*i + 4029. What is the least common multiple of 64 and q(69)?
5952
Let t = -1411/504 - 33/56. Calculate the common denominator of t and 49/1286.
11574
Suppose 5*p - 2*i = 50, 5*p - 3*p + 5*i = 49. Let s(r) = -p - 6*r + 4 + 0*r - 12. Calculate the least common multiple of s(-5) and 46.
230
Let d = 4638667/136 + -34108. What is the common denominator of d and 5181/(-3080) - (-24)/420?
136
Let f = 285/11 - 1351/22. Suppose 2*j = 2*i - 2, -9 = -5*i - 2*j + 3. What is the common denominator of f and (-322)/420 - (i - (-16)/(-10))?
6
Suppose -47 - 131 = -23*j + 6. What is the least common multiple of 11770 and j?
47080
Suppose 5*u - 11 = -3*z + 8, 2*z - 1 = -u. Suppose -u = 2*l - 7. What is the least common multiple of l and 10?
10
Suppose 200 = 7*i - 31. Let t = 59 - i. Suppose -4*v + 110 - t = 0. Calculate the least common multiple of v and 18.
126
Suppose -3*x - 2*p = -140, -x + 82*p - 80*p = -52. Calculate the lowest common multiple of 390 and x.
3120
Let a = 250 - 178. Suppose a - 6 = 3*o. Calculate the smallest common multiple of (-4840)/36300 + (-1)/(15/(-182)) and o.
132
Let f = -29771893/434 + 68599. Calculate the common denominator of f and -145/84.
2604
Let z = -6703 + 6725. Calculate the least common multiple of 2460 and z.
27060
Let v = -162220 - -141131339/870. Find the common denominator of -1/45 and v.
2