e -2*x = -b + 4*b - 106, -f*b + 142 = 2*x. What is the smallest common multiple of 42 and b?
252
Let a = -61313 + 122916. Let i be a/10380 - 15/5. Let n = -1/692 + i. Calculate the common denominator of -73/12 and n.
60
Let f(t) = 4*t**2 + 12*t + 18. Let h be f(-12). Let o = h - 414. What is the least common multiple of o and 72?
72
Let u = -11 + 5. Let r(x) = 1093*x + 13. Let f be r(u). Let b = f + 91717/14. Calculate the common denominator of -89/4 and b.
28
What is the lowest common multiple of (179 - (-17)/((-34)/(-12))) + -3 and 4?
364
Let g = -1082449 + 985028693/910. Find the common denominator of g and -137/210.
2730
Let j = -12414 - -806848/65. Calculate the common denominator of j and 103/1450.
18850
Let w be 25/(-35)*(-2 + 103/6). Let s = w + -3/2. What is the common denominator of s and -39/4?
12
Find the common denominator of (-2184644)/(-31061800) - (-2)/(-25) and -50/9.
36306
Let m(t) = -46*t - 4. Let w = 155 + -156. Calculate the least common multiple of m(w) and 105.
210
What is the least common multiple of (-14)/(-4)*(-243124)/(-931) - (1 + -5) and 1782?
30294
Suppose -3*f - 3*q + 69 = 0, -2*f - 4*q = -4*f + 52. Let v(h) = h**2 - 329*h + 24438. Calculate the least common multiple of v(113) and f.
120
Let w(o) = -14*o + 26. Let q be w(2). Calculate the common denominator of 25/135 + 6/q and 10/21.
189
Let t(u) = -u**2 - 51*u - 520. Suppose -5*y = -y - 2500. Suppose -y = -4*k + 3*h, 7*k + 4*h - 450 = 4*k. Calculate the lowest common multiple of k and t(-36).
1540
Let k = 317 + -315. Suppose -3*v + 2*v + 5*m = -34, k*m = -5*v + 62. What is the smallest common multiple of 310 and v?
2170
Suppose 5*k + 22 = -3*a, 8*a - 3*a = -k. Let t = -95459/10 + 9549. Calculate the common denominator of t and (a - (-52)/(-24))*19.
30
Let p = -13024 - -156199/12. Calculate the common denominator of p and 37/510.
1020
Suppose 7 = 5*g - 18, 465 = q + 2*g. Calculate the common denominator of -27/16 and (-4)/(-26) - 785/q.
112
Let d(x) = x**3 + 11*x**2 + 17*x + 4. What is the smallest common multiple of d(-8) and ((-6096)/(-889))/((-2)/(-7))?
120
Suppose 0 = -49*z + 62*z - 14084 - 8484. What is the lowest common multiple of z and 2480?
17360
Suppose -4*o - 15 + 3 = 0, -2*u + 178 = -4*o. Suppose 25 = -z + u. Let r = 76 - z. Calculate the smallest common multiple of 27 and r.
54
Suppose 4*b + 0 = -3*c + 5, -2*c = 2. Calculate the common denominator of ((-64)/(-6))/(((-9)/6)/1) and (-43)/(-24) - (b + 0).
72
Let m(a) = -a**3 - 9*a**2 - 8*a + 7. Let x be m(-8). Let k(q) = -x - 3*q - 6 + 17*q - q**2 - 3. Calculate the least common multiple of k(12) and 6.
24
Suppose 326*r - 185645 = -11601 + 75346. What is the lowest common multiple of 420 and r?
21420
Let v = -330363623/22 + 15008057. Let k = v - -8474. What is the common denominator of 31/14 and k?
154
What is the common denominator of (((-7)/(-49))/(1218/49))/((-15)/516) and 17/1450?
4350
Let v = 94097/168 + -3923/7. Find the common denominator of 27/380 and v.
15960
Let s = 50090554/827 - 60569. Let t = s + -38617/23156. Find the common denominator of 43/147 and t.
588
Suppose 132 = -4*v + 420. Let z = -186338/81529 + -2/11647. Calculate the common denominator of z and (-148)/v + 1/4.
252
Suppose 21*w - 26*w = 45, 5*n - 4*w = 44826. What is the smallest common multiple of n and 18?
26874
Let j(b) = -53*b**2 + 69*b + 4. Let s be j(6). Let y = s - -11957/8. Let d = -2866/5 - -31791/55. What is the common denominator of d and y?
88
Suppose 25 = 3*i + 2*i, 0 = 3*w - 4*i - 46. Suppose -26*c + w*c = -48. Calculate the smallest common multiple of 50/3 + (-8)/c and 2.
16
Let z be 10 + -11 + (-2 - (2 - 0)). Let w = z - -2. Calculate the least common multiple of (-21)/28*-89 + w/4 and 12.
132
Suppose -12*k + 4*k - 8 = 0. Find the common denominator of -101/56 and ((-29)/72)/(k/3).
168
Let t(k) = k - 2. Let h be t(18). What is the common denominator of (-52)/18*(-12)/h and (97/(-16))/((-1)/2)?
24
Let p(r) = -8*r**3 + 13*r**2 + 18*r + 1. Suppose -d + 5*s = 7, 2*s = 4*d - 23 - 39. Calculate the smallest common multiple of d and p(-1).
36
Let o(g) = -38*g + 2892. Calculate the least common multiple of 1080 and o(74).
2160
Let v(n) = -n + 12. Let b be v(3). Suppose 0 = -4*d + b*d + y - 109, 5*d - 3*y = 113. Calculate the least common multiple of d and 288.
3168
Calculate the least common multiple of (-11 + -101)/8 + 35 and 819.
819
Let a = -135546366/667 + 203218. What is the common denominator of a and 16/161?
4669
Let d = -48 + 48. Let t be d - -3 - 3 - 0. What is the least common multiple of (3/6 + t)*1*28 and 12?
84
Let o(q) = q**2 + 26*q + 13. Let l(b) = -b**2 + b + 4. Let d be l(6). Calculate the smallest common multiple of 3 and o(d).
39
Calculate the lowest common multiple of (-14763)/(-2)*52/91 and 39.
54834
Let d(w) be the second derivative of w**4/2 + 2*w**3 + 11*w**2 - w + 109. Calculate the lowest common multiple of 10 and d(7).
400
Let z = 356673/7 - 50849. Let j = -5707/56 + z. Calculate the common denominator of -53/30 and j.
120
Suppose c = -t - 3*c - 38, -2*t - 66 = 3*c. Let h = t - -18. Calculate the smallest common multiple of 20 and (1 - h)/(6/12).
260
Let i = 7844 + -62781/8. Calculate the common denominator of i and 111/1288.
1288
Let o(c) = 105*c**2 + 67*c + 136. Calculate the least common multiple of o(-2) and 2.
422
Let l = 1703 + -164. Let v = 1/17562 + 518069/175620. What is the common denominator of (-4)/1 + l/126 and v?
140
Let c = 3544 - 21311/6. Calculate the common denominator of c and -9/725.
4350
Suppose 4*n = -0*u + 4*u - 180, n + 3*u = -61. Let j = n - -61. What is the smallest common multiple of j and (-1 - 0)/(-2 - (-14)/8)?
12
Let t = 38603/2455 - 507441511/33098310. Let b be ((-3)/3745)/((-8)/40). Let x = b - t. Calculate the common denominator of 149/18 and x.
18
Calculate the common denominator of 0 - (1 + 27/70) and ((-3220)/(-245))/46 - (-14)/(-6).
210
Suppose 10 = -0*z + 10*z. Let d be -7 + 7 - 1478*z/6. Let w = -243 - d. Calculate the common denominator of 79/8 and w.
24
Let v be (-24)/(-8) - 5 - (-458)/233. Let m = v - -17603/3728. Let i = -8695/1424 + -29/356. Find the common denominator of i and m.
16
Let q = 284441 + -5128729/18. Let d = q + 4592/9. Let b = -4/49 + -7229/882. Calculate the common denominator of b and d.
18
What is the smallest common multiple of -1 - ((-9)/6)/(87/64264) and 1599?
14391
Let r be (-972)/(-135)*((2 - 4) + -13). Calculate the common denominator of -19 and (-1066)/198 + 1 - (-112 - r).
99
Calculate the common denominator of 6 + 440/(-72) + (3 - 460/(-144)) and 77/36.
36
Let i = -188201/12 + 15692. Find the common denominator of 9/(-3) - 2015/(-660) and i.
132
Let b = 51 - 36. Suppose -3*f + 63 = 5*w, 0 = -f - 29*w + 32*w - 21. Calculate the least common multiple of f and b.
30
What is the common denominator of 12/7 and 11 + 0 + 3263040/(-296400)?
8645
Let r = -642 - -647. Suppose -r*q - 9 = -2*z + 40, 2*z - 3*q = 39. Calculate the smallest common multiple of 60 and z.
60
Find the common denominator of 9/52 and -2*(-3 - (-80)/25) + (-130280)/(-317200).
3172
Suppose 3*t = l + l - 2741, -3*l = -3. Let n = t - -510. Find the common denominator of (n/(-130))/(8/(-30)) + -1 and 93/10.
40
Suppose 4*o - 1240 = 804. Let h = 987/8 + -120. Calculate the common denominator of h and (o/56 - 5)/(1/(-4)).
8
Suppose 307 - 82 = w. Suppose 231*j - w*j = 72. Calculate the lowest common multiple of j and 6.
12
Let k be 715 - (5 - 4/8*22). Find the common denominator of k/(-306) + 3*18/27 and 55/24.
1224
Let y = -323 - -299. Find the common denominator of ((-60)/y - 1) + (-178)/84 and -55/63.
63
Let k = -68763 + 5500963/80. Calculate the common denominator of (192/165 - 2)*(-4)/(-16) and k.
880
Let t be 14066/314*(19/(-4) + 5). Let n = 8/157 + t. Calculate the common denominator of n and (0 - 9/5)/((-44)/(-770)).
4
Let o = -704447 - -256427559/364. Let t = 421/6188 + -1/476. Let m = o - t. What is the common denominator of m and 61/16?
16
Let c = -416242 - -314678899/756. What is the common denominator of c and 5/189?
756
Suppose -6*t + 172 - 868 = 0. Calculate the common denominator of 13/3 and 353/60 - 29/t.
15
Suppose -18*c + 23*c - 605 = -50*c. Calculate the lowest common multiple of 19 and c.
209
Let d = 78155711/483 + -161813. What is the common d