. What is the common denominator of -47/36 and z?
180
Suppose -3*f - 2*f = 2*y + 7, f = -2*y + 13. Suppose 3*l = -238 + 256. What is the smallest common multiple of y and l?
18
Let l = 436 - 205. What is the lowest common multiple of 27 and l?
2079
Suppose 5*i - 16 = i. Suppose 3*k - 34 = -i*w, k - 4*w - 6 + 0 = 0. Suppose 3*v - 2 = -2*y + 1, -2*y + 4 = 2*v. What is the smallest common multiple of y and k?
30
Calculate the least common multiple of (-1390)/(-18) - 10/45 and 33.
231
Calculate the common denominator of 30/75 - (-2 - 138/80) and 75/194.
776
Let v be 2*(-2)/(-12)*18. Find the common denominator of -1 - ((-21)/(-11))/3 and v/6 - (-59)/(-11).
11
Let c be 4 + (27 - (-4 + 4)). Let k = -31 + c. Suppose -3*t + 6*t = -4*v + 7, -4*v + t + 3 = k. What is the least common multiple of 33 and v?
33
What is the common denominator of -17/40 and (-15)/(-60) + -2 + 354/40?
40
Let z(f) = -f**3 + 6*f**2 - 11. What is the smallest common multiple of z(5) and 472?
3304
Suppose 8*b + 546 = 794. What is the least common multiple of 1 and b?
31
Let r = 6933 - 291217/42. What is the common denominator of r and 37/27?
378
Let i be -6*(-2)/12*-2. Let m(o) = -2*o - 8. Calculate the smallest common multiple of -4*i/4 - -2 and m(-11).
28
Suppose y - 3*x = 18, 0 = 2*y - 10*x + 5*x - 34. What is the smallest common multiple of 23 and y?
276
Suppose 2*h + 1 - 5 = 0. What is the lowest common multiple of h and 145?
290
Let p = 202 + -172. What is the smallest common multiple of 30 and p?
30
Let u = -1746 - -2120. What is the least common multiple of 476 and u?
5236
Let i(q) = -q - 15. Let c be i(-13). Find the common denominator of c/(-8) + (-187)/(-28) + -3 and 43/12.
84
Suppose 2*n = 33*n - 744. What is the smallest common multiple of n and 114?
456
Let x = 298/5 + -351/10. Find the common denominator of x and 25/144.
144
Suppose -6*y - 12 = 6. Let v be 0/(y/9*-6). Suppose 3*x - 4*x + 3 = v. Calculate the least common multiple of 6 and x.
6
Let j(c) = c**3 + 21*c**2 + 21. Calculate the least common multiple of 14 and j(-21).
42
Let r be -3 - -1 - -1 - -1. Suppose r = -2*y + 4*y. Suppose -3*f = 5*o + 7, f + y*o + 2*o = -4. What is the smallest common multiple of f and 11?
66
Let n(w) = -w**3 - w**2 + w + 24. Suppose 1 = -f, 0*f - 5 = 4*j + 5*f. What is the least common multiple of n(j) and 10?
120
Let k = -289 + 294. Calculate the lowest common multiple of (-8)/(-2 - (1 + -1)) and k.
20
Let c = -576 + 596. What is the lowest common multiple of c and 32?
160
Let b = -757477831/210 + 3607080. Let i = b - 668/21. Calculate the common denominator of i and 51/22.
110
What is the common denominator of ((-2)/45*-3)/(400/(-3125)) and -137/54?
216
Find the common denominator of (-1463)/57*(-6)/(-64) and 41/36.
288
Suppose -g + 1 = 0, 3*o + 5*g + 46 = 321. What is the lowest common multiple of o and 75?
450
Let p(y) = -9*y**2 + 66*y - 7. What is the lowest common multiple of p(6) and 104?
520
Let l = -1237/1477060 - 1/12844. Let y = l - 146391/4370. Find the common denominator of -43/104 and y.
104
Let u(x) = -7*x + 47. Let f be u(7). Find the common denominator of 296/(-24) + f/(-4) and -149/36.
36
Let q = 10/169 + 8917/676. What is the common denominator of 318/40 - (-16 + 24) and q?
20
Let z = -113 + 115. Calculate the common denominator of 17/50 and z + (-2)/(110/83).
550
Suppose 0 = 10*w - 5*w + 55. Calculate the common denominator of (8/(-8))/(w/39) and 117/10.
110
Find the common denominator of (7/98)/((-1)/118) and (-4)/1 - 798/(-96).
112
Suppose -2*y + 242 = -44. Let u be y + 14 + -4 + 1. Find the common denominator of 29/5 and (-8)/(-20) + u/(-60).
30
Let d = -520 - -536. Calculate the lowest common multiple of d and 6.
48
Let j = 779 + -713. Calculate the lowest common multiple of 20 and j.
660
Suppose 0 = 4*b + b. Suppose 0 = -3*r - b*r + 36. Suppose -85 = -3*k + 47. What is the smallest common multiple of r and k?
132
Let i be ((-7)/9)/((-86)/50). Let k = i + -134693/7740. Let w = k + 56/5. Find the common denominator of 45/7 and w.
28
Let w be 3748/(-106)*(-6)/20. Let m = w - -42/53. Find the common denominator of m and -3/2.
10
Suppose -2*m = -m - 7. Suppose 14*d - 20 = 9*d. Suppose -7 = -5*f - 4*t + 10, -2*t = -2*f - d. Calculate the least common multiple of m and f.
7
Let j = -227 + 387. Let u = j + -92. What is the common denominator of -73/3 and (-3)/(-6)*u/(-12)?
6
Suppose -2*n = -4*v + 23048, -2*n - 22664 = -5*v + 6144. Let q = v + -45983/8. What is the common denominator of -32/11 and q?
88
Suppose 0 = -20*o - 136 + 436. Calculate the lowest common multiple of 45 and o.
45
Suppose -5*m - 257 = -3*h, 4*h + 0*h + 5*m = 366. Let g = h + -85. Let s(a) = 7*a**3 - 2*a**2 + 1. What is the smallest common multiple of s(1) and g?
12
Calculate the common denominator of -93/10 and (-4)/3*-1*30/(-75).
30
Let q(g) be the first derivative of -g**2/2 + 16*g + 3. Let r be (-7)/(14/4) + 2. What is the lowest common multiple of q(r) and 4?
16
Let h = 7173 + -451844/63. Calculate the common denominator of -29/45 and h.
315
Suppose 4*n = -25 + 9. Let a(h) = -h**3 - 3*h**2 - 5*h + 4. Let k be a(n). Let b = -20 + k. What is the lowest common multiple of b and 2?
20
Suppose 3*v = -2*u - 10, -3*u + 4*v = 9 + 23. Calculate the lowest common multiple of (u/(-10))/((-5)/(-950)*4) and 6.
114
Let m(n) be the first derivative of n**4/4 + 4*n**3/3 + n**2 + 7*n + 9. What is the least common multiple of m(-3) and 9?
90
Let p be (-26)/39 + (-6244)/(-9519). Let d = p - 22033142/15865. Let h = d - -152503/110. What is the common denominator of h and 71/18?
198
Suppose 0 = v - 1 - 13. Let j = -2175/4 + 519. Find the common denominator of (-4)/v*1062/(-72) and j.
28
Calculate the common denominator of -57 - -59 - ((-49)/(-33) + 0) and -13/102.
1122
Let c = 936 + -14879/16. Calculate the common denominator of 6/15 + (-99)/40 and c.
80
Let x(n) = 4*n + 76. Let z be 3/((21/27)/(-7)). Find the common denominator of 71/(-3)*6/4 and x(z).
2
Let c(i) = 2*i + 2. Let b be c(4). Let t be ((-12)/(-2))/(b/(-40)). Find the common denominator of -23/16 and (-92)/21*9/t.
112
Let f be -1 + (-1536561)/(-12) + -3. Let d = f + -131485. Let l = -3419 - d. Find the common denominator of -37/12 and l.
12
Let p = -1980229/120 + 16502. Calculate the common denominator of -121/20 and p.
120
Let z = 54 + 106. Calculate the common denominator of ((-3107)/60)/(-13) - (-2)/3 and (-2)/5 - (-374)/z.
80
Let y = 483 + -462. Let l = 51 - 21. Calculate the least common multiple of l and y.
210
Let c = 2813/15 - 97157/510. What is the common denominator of c and -9/38?
646
Let v be -6 + (-3)/(-2 - 1). Let l = 68 + -59. Let p = l + v. Calculate the smallest common multiple of p and 5.
20
Let v = 448 - 442. Calculate the smallest common multiple of 35 and v.
210
Suppose -13 + 4 = -3*s. Let o = -8 - -12. What is the smallest common multiple of o and s?
12
Let i = -28819554/221 - -130405. Find the common denominator of -44/39 and i.
663
Suppose -a + 0*a = -4*b, -4*a - 2*b = 0. Suppose a = -4*l + 5*l - 30. What is the common denominator of l/(-66)*52/(-5) and 91/4?
44
Let i(g) = 4*g - 3*g - 4 + 5*g**2 + 2*g**3 - 5*g + g. Let c be i(3). What is the common denominator of (c/(-4) + 0)/(-4) and -53/20?
40
Suppose 2*p - 42 = 18. Let i = p - 26. Suppose t - i = -2*c, 0 = c - 2*c - 2. Calculate the smallest common multiple of 8 and t.
8
Calculate the common denominator of ((330/(-80))/(-3))/((-15)/(-12)) and 151/2520.
2520
Let j = 668 - 635. What is the least common multiple of j and 30?
330
Let f(r) = r - 1. Let c(a) = -5*a + 10. Let z(m) = -c(m) - 6*f(m). What is the smallest common multiple of z(-10) and 12?
12
What is the common denominator of (-345)/(-100) - (-10 + 12) and -59/544?
2720
Let y(h) = h**2 + 2*h + 1. Let m be y(3). Let k = -16 + m. Suppose a = -k*a + 8. What is the smallest common multiple of 62 and a?
248
Suppose -64 - 166 = 5*h. Let m = 51 + h. Suppose 4*y = -5*k + 29, -2*y - 13 = -4*k + 5. What is the smallest common multiple of m and k?
5
Suppose 1150*j - 1154*j + 52 = 0. Calculate the smallest common multiple of 2 and j.
26
Let p be (-2)/6 - 385/15*1. What is the common denominator of (3 - p/22) + -4 and -53/10?
110
Let s be 134/10 - 10/25. Suppose s - 33 = -5*z. What is the smallest common multiple of 22 an