
Suppose -3*f = 4*s + 49, -23 = 5*s + 3*f + 36. Find the common denominator of 18*2/s*(-45)/4 and (678/168)/(1/(-2)).
14
Let k = -60905/24 + 11115221/4380. Find the common denominator of k and 73/10.
2920
Suppose 3*y + 75 + 309 = 0. Let d = 81 + y. Let g = d - -344/7. Calculate the common denominator of 33/7 and g.
7
What is the common denominator of ((-1220)/(-80))/(1/(-2)) and 56/815?
1630
Let q = -2511 - -4646. Find the common denominator of (4/(-10))/((-480)/1075) and 8/32 - (q/36)/7.
144
Find the common denominator of (-27)/(-420)*(-2)/(17 - 5) and -19/40.
280
Suppose -197*z = -234*z + 13542. What is the smallest common multiple of 150 and z?
9150
Let g = -1685/6 - -16859/60. Find the common denominator of -3/44 and g.
220
Let p = 2024 - 56591/28. Let f = 80039/184 + -435. Find the common denominator of p and f.
1288
Let t = 102 - 54. Suppose -5*k - 4*h = -48, -2*k + 36*h + 24 = 37*h. Calculate the lowest common multiple of t and k.
48
Let h = 1234904/9 - 137366. Let s = 2929/18 + h. Find the common denominator of s and -5/9.
18
Let r = -29 + 62. Calculate the smallest common multiple of (-13 - 23)*(0 - 1/2) and r.
198
What is the common denominator of -69/3458 and (567/3780)/(0 + 228/56)?
17290
Let w = 281 + -221. Calculate the common denominator of -6 + 174/30 + (-343)/w and -39/322.
1932
Let b(p) = 7*p**2 - 77*p - 403. What is the lowest common multiple of 11 and b(-52)?
247819
Let w = 967209/40 + -24178. Find the common denominator of -25/632 and w.
3160
Let u(s) be the third derivative of -s**4/6 + 46*s**3/3 - 58*s**2. Calculate the least common multiple of 6 and u(10).
156
Suppose -o + 10 - 24 = -3*z, -o - 2*z + 11 = 0. Calculate the common denominator of 36/11 and o/(3928/824 + -5).
264
Let y = 356 + -142. What is the least common multiple of y and -9 - 2 - (-15 + 0)?
428
Suppose 2*p - 19 - 33 = 0. Let j = p - 22. Suppose -2*u - 2 = j*t, u - 2*t - 1 - 2 = 0. What is the least common multiple of u and 7?
7
Let q = -4120 + 2326. Let c = 43049/24 + q. Calculate the common denominator of c and -71/57.
456
Suppose -4*a - 2*u = 120, -137 + 1 = 5*a - u. What is the smallest common multiple of 90 and (-416)/a - 2/(-14)?
90
Let c(v) = -2*v**3 - 19*v**2 - 8*v + 19. Let j be c(-9). Suppose 5*p + 14*g - j = 9*g, -4*p - 2*g = -16. Calculate the smallest common multiple of 27 and p.
54
Let g = 739850043 + -11330803427959/15315. Let h = g + 1/1021. Calculate the common denominator of h and (2/24 - 0)/(279/(-6262)).
270
Suppose -m + 5*m + 2*l - 154 = 0, 0 = -4*m + 4*l + 124. Calculate the smallest common multiple of ((-40)/m - -5) + (-3)/(-27) and 17.
68
What is the smallest common multiple of 360 and (-14)/(-21) - (448/(-12))/4?
360
Calculate the common denominator of (5 + 66/(-24))/(-3 + 35817/60) and 63/10.
118790
Let f = -1 - -3. Let h(g) = f*g - 4 + 0*g - g - 5*g. What is the lowest common multiple of 4 and h(-6)?
20
Suppose -5*u + 34 + 41 = 0. Let q be (115/u + -6)/((-1)/(-9)). Suppose -3*n + 3*p = -75, -4*n + q = 2*p - 97. Calculate the lowest common multiple of 6 and n.
54
Let z be 0 + 3/(-15) + (-1011677)/(-40). Let u = -25293 + z. Calculate the common denominator of 43/60 and u.
120
Suppose 8 = -2*z, 15*j - 4*z = 20*j - 224. What is the smallest common multiple of j and 144?
144
Let w = -76/889 - -35417/71120. Calculate the common denominator of -29/1190 and w.
9520
Let o = -19675/2 + 580421/59. What is the common denominator of 73/14 + 6 + -10 and o?
826
Let k = -32088 - -8535379/266. Find the common denominator of -31/570 and k.
3990
Let m = -1593 - -6532. Let c = 98823/20 - m. Find the common denominator of -37/10 and c.
20
Let v = 21246 - 20810. Calculate the smallest common multiple of 52 and v.
5668
Let k = -243 - -245. Suppose 3*d - 2*z - 404 = 0, 533 - 13 = 4*d + k*z. Calculate the smallest common multiple of 16 and d.
528
Let h = 48 - 46. Suppose 0*o = -i - 5*o - 6, h*i = -5*o - 2. Let n(b) = b**3 + 9*b**2 + 17*b - 3. Calculate the lowest common multiple of n(-5) and i.
12
Suppose 0 = -m + 5*m. Let c be (1248028/(-24) - m)/(-3). Let p = c + -17338. Calculate the common denominator of p and -50/33.
198
Let y(d) = -14*d + 500. Calculate the smallest common multiple of y(21) and 12.
1236
Let n = 10284/17 + -461573/765. Let a = 1838/891 - 86/33. Calculate the common denominator of a and n.
405
Let j be ((-16)/434192)/(2/(-4)). Let b = 2469451/217096 + j. Calculate the common denominator of b and 35/9.
72
Let u be (0 + 6/5)/((-6)/48542180). Let j = 96977127/10 + u. Let w = j - -10732. Find the common denominator of -157/42 and w.
210
Let k = 5436/11 - 901/55. Let i = k - 42317/90. What is the common denominator of -5 - (444/(-88) + 0) and i?
198
What is the smallest common multiple of (-96)/(-84)*49/14*478 and 4780?
9560
Let m = -11/331 - -20279/2648. What is the common denominator of m and 29/642?
2568
Let b = 649952 - 6062752273/9328. Calculate the common denominator of b and -103/18.
83952
Suppose -3*s + 25 = x, -x - 4*x - 15 = -5*s. Suppose -s - 7 = -a. Suppose 20 = b + 2*d - 0*d, 20 = b - 3*d. What is the smallest common multiple of b and a?
140
Suppose 11*z + 2*r = 16*z - 24617, r = -3*z + 14768. Let p be 295459/60 - 3/(-9). Let u = p - z. Calculate the common denominator of u and -75/22.
220
Let y(i) = -9*i**2 + i + 4. Let t be y(2). Let a be -16 + 13 + t/(-2). Suppose 0 = -j - j + a. Calculate the smallest common multiple of 4 and j.
12
Let w = 8 - -2. Let f(s) = 7*s**3 - s**2 - s + 329. Let l be f(0). Let u = -285 + l. What is the lowest common multiple of w and u?
220
Let a = 3720 + -29721/8. Let g = 1963/23 - 68437/828. Calculate the common denominator of a and g.
72
Let g be -17*6/(-12)*58/100. Let c = g + -132/25. Find the common denominator of 13/4 and c.
20
Let r = -4973723/372 - -26741/2. Calculate the common denominator of -51/1736 and r.
5208
Suppose 0 = -3*k + 44*q - 45*q - 49, k = 3*q - 3. Suppose 2*w = 5*l - 0 - 11, 0 = -5*l - 3*w + 21. Calculate the lowest common multiple of 14 and k*(-1)/l - -9.
14
Suppose 14960 - 2784 = 4*b + 4*d, -42 = 6*d. What is the smallest common multiple of 189 and b?
21357
Let d(y) = -782*y - 2588. Calculate the lowest common multiple of d(-4) and 7.
3780
Let x = -4311 - -4507. What is the least common multiple of x and 392?
392
Let u(w) = 12*w**2 - 38*w + 102. Calculate the smallest common multiple of u(3) and 100.
2400
Let z = 1053822247/60 + -17563280. Let b = -2131/5 + z. Calculate the common denominator of -17/60 and b.
60
Let q(c) = -c**2 + 53*c - 240. What is the smallest common multiple of 469 and q(6)?
2814
Let n = 405 + -387. Find the common denominator of 15/136 and (11/n)/((-112)/(-168)).
408
Let l(j) = -5*j + 80. Let f be l(15). Suppose 16 = f*m + k - 3*k, -3*m - 2*k = 0. What is the lowest common multiple of 14 and m?
14
Suppose 2578335 - 442599 = 12*a. Suppose 0 = -3*y + 3*i + 143775, -3*y - 34183 + a = i. Let g = 2875901/60 - y. What is the common denominator of -41/9 and g?
180
Let d(j) = -j**3 - 4*j**2 - j - 8. Let i be 2/8 + 136/(-32). Let l be d(i). What is the least common multiple of (-112)/(-42) - (-3)/(18/l) and 3?
6
Let x = 161 - 105. Find the common denominator of 48/64 + 4*1 and (-8)/(-10)*791/x.
20
Let x be (5/2)/(35/(-28)). Find the common denominator of (x - -1) + ((-712)/(-144) - 4) and 1/18.
18
Let r = 604 + -565. Suppose 0 = -5*t + 12*g - 8*g + 19, -2*g - 2 = 0. Calculate the lowest common multiple of r and t.
39
Suppose -o = 4*k + 3*k - 78, 7*k = -5*o + 362. What is the smallest common multiple of o and 11 + -3*(-2)/(-3)?
639
Let q = 1328 + -1329. Let l = 4 - 0. Calculate the common denominator of 73/8 and (-3 - q) + 3 + (-10)/l.
8
Let m be ((-8)/(-32))/((-1)/(-32)). Calculate the smallest common multiple of 44 and (36/m)/(12/8).
132
Let t = -30794 - -1724379/56. Let a = -99533/80 + 1244. What is the common denominator of t and a?
560
Let r be 4/4 + 1/(1/(-621)). Let b = 92 + r. What is the lowest common multiple of ((b/(-20))/2)/(6/15) and 27?
297
Let c(s) = s**3 + 23*s**2 - 37*s - 62. Let j be c(-34). Calculate the common denominator of 7/9 and (j/25650)/(2/(-5)).
171
Suppose 5*k + 16 = -3*k. Let o(v) = 4*v + 3. Let a be o(k). Calculate the lowest common multiple of 12 and (-6)/(a + -3 + -2)*55.
132
Suppose 5*g + 5781 = -5*q - 6569, 0 = -5*g - 2