
26
Let k = -363841/3 - -119674. Let x = -1650 - k. Let d = 757/15 + x. Calculate the common denominator of d and 48/11.
55
Suppose 2*t - 2 = y, -4*t + 5 = t - 3*y. What is the lowest common multiple of 35 and t?
35
Let c(t) = 4*t**3 + 2*t**2 - 5*t + 4. Let s be c(-8). Let j = s - -11221/6. Find the common denominator of 33/44*130/(-12) and j.
24
Let z(m) = 6*m - 4. Suppose -s - 2 + 37 = 0. Let c = s + -31. What is the least common multiple of c and z(4)?
20
Suppose -141 = -4*c + 47. Suppose -5*i - c = -17. Let o = -4 - i. What is the lowest common multiple of 18 and o?
18
Suppose -2*w = -2*m - 12, 5*w - 14*m + 13*m - 46 = 0. Let x(j) = j**3 - 3*j**2 + 2*j + 3. What is the smallest common multiple of w and x(3)?
90
Let k = -758603/88380 - -2/22095. Find the common denominator of k and (711/(-117))/(2 + 0).
156
Let a(x) = -4*x - 94. What is the lowest common multiple of (-244)/(-24) - (-2)/(-12) and a(-25)?
30
Let i(f) = -4*f - 35. Let x be i(-14). Suppose 4*s = -5*b - x, -b - 3*s = -0 + 2. Find the common denominator of -33 and -3 + b/((-80)/(-126)).
8
Let v be (6 + -14 + 4/2)*-869. Let n = v + -62603/12. Find the common denominator of (-2)/4 - 47/16 and n.
48
Let h(v) be the first derivative of -6*v**2 + 3*v + 4. Calculate the smallest common multiple of h(-2) and 12.
108
Let d = 4854 + 275. Let l be (-2)/5*(-306530)/24. Let f = l - d. Calculate the common denominator of 35/4 and f.
12
Suppose -2*m - m = 5*r + 15, -3 = r - 4*m. Let q = 4863/4 - 1232. What is the common denominator of q and 66/(-110) + r/(15/22)?
4
Let j = -713 + 452. Let o = 421/7 + -2141/42. Find the common denominator of 0 + (j/(-24) - -1) and o.
24
Suppose 2*f + k = -2*k + 33, -4*f + 4*k = -96. Calculate the common denominator of -67/68 and f.
68
Suppose -j + 15 = 4*v - 2*j, -3*v - 4*j = -35. Suppose 59 = -v*t + 7*t - 3*m, -5*t + 125 = -3*m. What is the smallest common multiple of 10 and t?
110
Let c be 12/105632697*(-2)/20. Let g = c - 1931493861481/278518211090. Let i = 146/113 + g. Find the common denominator of i and 97/12.
84
Let o = -29 + -34. Calculate the common denominator of 93/22 and 66/(-4)*(-3)/o.
154
Let m = -121 + 133. Calculate the lowest common multiple of m and 70.
420
Suppose -4*r + 29 = 17. Suppose 0 = 3*t - r*n + 2103, -419 = 3*t - n + 1678. Let q = -2150/3 - t. Find the common denominator of -2/7 and q.
21
Let u be (-1993276)/(-240)*(-3)/(-2). Let b = -12459 + u. What is the common denominator of b and 19/9?
360
Let d = 6401/413 - -1/826. Calculate the common denominator of 635/44 + 6/(-33) and d.
4
Let p = 645 - 1604. Let b be (1/p)/(12/(-7)). Let t = b - 16169/4932. Find the common denominator of 143/6 and t.
18
Suppose 3*r - 1 = 5. Suppose -3*g + 20 = -3*a + 47, -r*a = 4*g. Calculate the lowest common multiple of 20/((-120)/(-54)) + 4/(-1) and a.
30
Let g(i) = -i**3 + i**2 - 33*i + 18. Calculate the smallest common multiple of g(-6) and 24.
936
Suppose -3*d + 10 + 5 = 0. Suppose 4*l + t + 194 = 0, d*t = -5 - 5. Calculate the common denominator of (176/(-12) + 5)*2 and l.
3
Let g = -157/33 + -58805/132. Let i = -10739/24 - g. Find the common denominator of i and 19/22.
264
Suppose -5*k - f + 2 + 20 = 0, -3*k = -f - 10. Let t(m) = 45*m + 361. What is the least common multiple of t(-8) and k?
4
Calculate the lowest common multiple of 8 - (52/(-39))/(4/(-6)) and 33.
66
Let d = -44 - -72. Calculate the lowest common multiple of d and 24.
168
Let p(c) = c**2 + c + 4. Suppose -4*t - x + 205 = 0, 0 = 5*t - 0*t + 3*x - 258. Let m = -45 + t. What is the smallest common multiple of m and p(-3)?
30
Calculate the common denominator of -3/50 and (1239/(-20))/(-7) + -3.
100
Let g(p) = p**3 + 8*p**2 + 2*p - 6. Let d be g(-6). Let a = -3 + 1. What is the common denominator of a + (-3)/d*-141 and 57/2?
6
Suppose 27 = 8*n - 3*n + s, -2*n + 5*s = -27. Suppose 0*y = 5*y - 5. Let w(u) = 3*u**3 - u + 1. Calculate the lowest common multiple of n and w(y).
6
Let g(o) = 6*o + 138. What is the least common multiple of 36 and g(-19)?
72
Let q(z) = -3*z**3 - 3*z**2 - 3*z. Let k be q(9). Let y = k + 1555. Calculate the common denominator of 10 and y/80 + 4/10.
8
Suppose 2*s + 32 = 10*s. Suppose 4*o + 4*z - 16 = 0, 3*o - 14 = -4*z - s. Calculate the smallest common multiple of o and 3.
6
Let o = 4328161/95 - 45560. What is the common denominator of o and -87/10?
190
Suppose -7*c = -3*c. Suppose -5*h + 39 + 1 = c. Calculate the lowest common multiple of 4 and h.
8
Let r = 12 - 13. Calculate the common denominator of 53/24 and (-5837)/1560 + r/8.
120
Let x = 20114 - 402393/20. Let q = 14 + -8. Find the common denominator of x and q/(-105)*(-84)/48.
20
Suppose 5*t - 44 = 2*m, -5*m = -2*m - 2*t + 55. Let n = m - -13. What is the lowest common multiple of 125/10 + 6/n and 15?
165
Let x = 245678/33 + -7444. Calculate the common denominator of x and 14/159.
1749
Let y(p) = -p**2 - 7*p + 2. Let o be y(-5). Suppose -5*j + o - 2 = 0. Calculate the smallest common multiple of 22 and j.
22
Find the common denominator of -53/60 and -3 - 3 - -7 - (-139)/(-28).
420
Let v = -34212255/362 - -277966457105/2940888. Let c = v + 2/2031. Find the common denominator of c and -24/5.
40
Suppose -258 = -4*p + 366. Let g be 13/(-9)*p/65. Let q = -467/90 - g. What is the common denominator of -107/22 and q?
198
Let s = 1287 + -15379/12. Find the common denominator of 49/2 and s.
12
Suppose -4*k = -n - 0*k - 101, -5*n - 445 = -5*k. What is the common denominator of (-6)/9 - n/(-48) and ((-3)/4)/(2/46)?
16
Let d(k) = -6*k**2 - 2*k - 3. Let n be d(3). Let u = -30 - n. What is the least common multiple of u and 18?
198
Find the common denominator of (-4)/(-8) - -3*267/(-1548) and -121/10.
860
Let m(n) = -3*n**2 - 10*n - 10. Let h be m(-7). What is the common denominator of 53/20 and 15/(-2)*h/216?
240
What is the lowest common multiple of 24 and (-26)/(-3) - (96/(-18) - -6)?
24
Let n = -3375931/60 + 56268. What is the common denominator of -7/30 and n?
60
Suppose -65 = -5*o + 45. Suppose 4*u - 30 = 3*b, 3*b + 10 = -2*b. What is the least common multiple of u and o?
66
Let k(b) = -b**3 - 2*b**2 + 17*b. Calculate the lowest common multiple of 116 and k(3).
348
Let g = -1016/3 - -59003/174. Find the common denominator of 39/(-65) - 5432/480 and g.
348
Let i = 499 - 1049. Let w = i + 1017/2. What is the common denominator of -47/3 and w?
6
Let o = -3129 - -21860/7. Let m = 72655 - 4359167/60. What is the common denominator of o and m?
420
Let f(t) = -t**2 + 8*t + 3. Let h be f(6). Find the common denominator of 33/2 and -16 + h - (-310)/12.
6
Let z(u) = u - 7. Let p(a) = -3*a + 20. Let g(c) = 6*p(c) + 17*z(c). What is the smallest common multiple of g(-9) and 18?
90
Let y = -298 - -373. What is the smallest common multiple of y and 5?
75
Let v(g) = 4*g + 1. Let d be v(2). What is the common denominator of (40397/210)/29 + 12/(-9) and 51/d + (-1)/(-2)?
30
Let i = -3/80 + 5/48. Find the common denominator of 5 + 116/240*-14 and i.
30
Let o = -61 + 85. Let c(b) = b**3 + 5*b**2 - 3*b - 7. Let w be c(-5). Suppose w*v - v - 42 = 0. Calculate the lowest common multiple of v and o.
24
Suppose -15 = 2*d - 5*i, 4*i + 6 = -5*d + 6*i. Suppose d*p - 3*s = -4*p - 1, 12 = 4*s. What is the common denominator of 85/200 + (-1)/p and -19/14?
280
Let p = -3/5536 + 175777/16608. What is the common denominator of p and (46/(-35))/(426/(-355))?
84
Let n = -20/289 + 12358/3179. Calculate the common denominator of n and 6/(-9) - 242/24.
44
Suppose -u = -5*c - 120, 5*c = 3*u - 8*u + 510. Calculate the least common multiple of u and 168.
840
Let c(s) = 125*s**2 + 2*s - 4. Let w be c(3). What is the common denominator of -7/11 and 14/(-91) - w/195?
165
Calculate the least common multiple of (-9 - (30 + -6))/((-1)/9) and 6.
594
Let j(q) = 3*q - 5. Let z be j(4). Suppose 9*l - 40 = z*l. What is the least common multiple of l and 20?
20
Find the common denominator of 119/12 and ((-4)/1456)/(2/(-508)).
1092
Let a be (15*2)/(11/((-22)/(-4))). Suppose a*l = 20*l - 60. Suppose -5*g + 9 = -51. What is the lowest common multiple of g and l?
12
Let d(g) = 2 - 1 + 2*g**2 + 6 - 4. Let s be d(-3). What is the least common multiple of 20 and 6/21 - (-372)/s?
180
Let p be (-328)/(-18)*(20 - 10). Let r = p + -12265/72. What is the common denominator of