d (p + 2)/((-6)/(-30)).
10
What is the lowest common multiple of -8 + (-11)/(-1) + (26 - 1) and 72?
504
Suppose 2*b + 2*b - 68 = 0. Let j = b - 2. What is the smallest common multiple of 15 and j?
15
Suppose 20*t = 15*t - 4*s + 1072, -s = -4*t + 845. Calculate the smallest common multiple of 14 and t.
1484
Suppose -5*n = -0*n + 10. Find the common denominator of 63/2 and (-153)/374*n/(-6).
22
Suppose -17*s = -16*s - 71. Let p = 83 - s. Calculate the smallest common multiple of 3 and p.
12
Calculate the common denominator of (7*11/(-462))/(32/(-474)) and 23/36.
288
Let t = 7999/180 - 511/12. Calculate the common denominator of -7/8 and t.
360
Suppose 362*w - 321*w = 1107. Let t(z) = -z**3 - 7*z**2 + 6. Calculate the least common multiple of w and t(-7).
54
Let u(z) = 4*z**2 - 36*z + 6. What is the smallest common multiple of u(9) and 6?
6
Find the common denominator of 55/6 and 31 + (-3 - 2)*(-7 + 8).
6
Suppose -3*d - 2*d + 10 = 0. Suppose 0 = -5*j + d*b + 4 + 5, -4*b = -4*j. Let u = -19 - -21. What is the least common multiple of j and u?
6
Let c(v) = v**3 + 2*v**2 - 9*v - 5. Let p be c(-4). Let z = 28 + p. Calculate the least common multiple of 9 and z.
27
Let f = 18 + -12. Suppose 3 = -2*v + 9. Suppose -v*t + 9 + 6 = 0. Calculate the least common multiple of t and f.
30
Calculate the common denominator of 20/552*112/(-21) and -59/138.
414
Let c = 6 - 9. Let v be (-81)/18*136/c. Find the common denominator of (v/(-80))/((-2)/10) and -28/9.
36
Find the common denominator of 2 + 6 + (-2931)/378 and 127/126.
126
Suppose -2*r - 2*q = r - 134, -r + 5*q + 39 = 0. Let k(j) = j**2 + 2*j - 1. Calculate the lowest common multiple of r and k(-3).
44
Suppose 4*y + 3*d = -16, -4*d = -5*y + y - 16. What is the common denominator of -37/16 and 12/(-1470)*4330/(-8) + y?
784
Let t(d) = d**3 - 13*d**2 - d + 15. Let g be t(13). Find the common denominator of 13/4 and -3 + (g + -3 - (-111)/(-9)).
12
Let v be (-1 - -43242)*(-2)/12. Let t = -7182 - v. Find the common denominator of t and -4 - (3 - ((-999)/(-8))/9).
24
Let t = 4 - 2. Suppose 0 = 5*v + 2*g - 16, -5*g = -2*v - 4*g + 1. Suppose -2*r + 62 = r + p, -3*r + 56 = -v*p. What is the smallest common multiple of t and r?
20
Let t be -1 - 2 - -1*1. Calculate the common denominator of 0/t - 198/16 and (10/4)/((-7)/(-42)).
8
Let a be 1/(-4) + ((-1765)/(-20) - -2). Suppose -2*n + 220 = -6*n. What is the common denominator of 17/16 and 22/n - 329/a?
144
Let q(g) = -4*g**3 + 3*g**2 + 1. Let c be q(5). What is the common denominator of (2/(-24))/((-6)/c*2) and -77/184?
1656
Let x = -2127 - -2147. Calculate the smallest common multiple of 3124 and x.
15620
Let z = 14017 + -280439/20. Calculate the common denominator of z and -35/204.
1020
Let d = 9 - 8. Find the common denominator of 15/(-20)*268/102 and (d/12)/(4/88).
102
Let u = -4932 + 88751/18. Let n = 186658138071/45419920 - 7535748/1835. Let v = 4/1547 + n. Calculate the common denominator of v and u.
144
Let i be (-80)/6*3756/(-4). Let b = i - 388164/31. Let c = 541/224 - -69/32. Calculate the common denominator of b and c.
217
Let g = 2605751/232 - 11232. Find the common denominator of -75/58 and g.
232
Suppose 5 = r - 2*r. Let c(q) = q**3 - 3*q**2 + 8*q + 5. Let t be c(r). Calculate the common denominator of ((-1)/1)/((-100)/t) and -85/12.
60
Suppose -3*r - 2*v + v - 1 = 0, 0 = 2*r + 5*v + 5. Suppose f - 6 = -r*f. Calculate the lowest common multiple of f and 10.
30
Let x(v) be the third derivative of v**5/60 + 5*v**4/24 - v**3/2 + 7*v**2. Let t = 10 + 0. Calculate the least common multiple of t and x(-6).
30
Let v = 110425/4 - 27385. Let q = 232 - v. Find the common denominator of q and (0 - (-1)/(-6))/(-1).
12
Let z = 753 - 708. What is the least common multiple of z and 35?
315
Let j = -4 - -22. Suppose -4*l + 0*l + 5*f + 68 = 0, l - 4*f = 17. Let t = l + -3. Calculate the least common multiple of j and t.
126
Suppose 0 = 6*s - 2*s + 860. What is the common denominator of (-8)/32 + s/(-44) and -30/7?
77
Suppose 5*j = -5*u + 275, 309*u = -3*j + 305*u + 160. Calculate the least common multiple of 54 and j.
540
Let v(g) = g**2 - 9*g + 11. Let k be v(7). What is the common denominator of k/(-9)*(-133)/(-10) and -64/9?
90
Suppose 3*x + 45 = 2*j + 2*x, -4*x = 20. Let z(l) be the second derivative of l**3/2 - 37*l**2/2 + 6*l. What is the smallest common multiple of j and z(19)?
20
Let n(x) = -x + 11*x**2 - 10 - 12*x**2 + 14*x. Let f be n(10). Let d = 30 - f. Calculate the lowest common multiple of 4 and d.
20
What is the lowest common multiple of (-2)/7*-1 + (-10000)/(-35) and 66?
858
Let f = -1219 + 4913/4. What is the common denominator of f and ((-61)/12)/((-4)/(-12))?
4
Calculate the common denominator of (-14)/(-105) + 561/(-270) and 38/9.
18
Let b = 159 - 115. What is the least common multiple of 44 and b?
44
Let q = 10 + 8. Suppose 2 + q = 2*d. Calculate the lowest common multiple of 22 and d.
110
Let c = -3577 + 57193/16. Find the common denominator of -31/1420 and c.
5680
Let w = 300667/20 + -15028. Let j be (3 + 9/(-3))*(0 - 1). Find the common denominator of w and 242/28 - (j + 3).
140
Let k = -4319/202 - 12/101. Let h(f) = -f**3 - f - 1. Let l be h(-1). Calculate the common denominator of (2 - l) + (-112)/(-20) and k.
10
Let g = -1942 - -15563/8. Let i(h) = -557*h**3 - 2*h**2 - h. Let v be i(-1). What is the common denominator of g and ((-2)/12)/(4/v)?
24
What is the common denominator of ((-6)/54 + 3)*3 and (-16)/(-30) + 12 + -8?
15
Let r be 13 + -17 - 95/(-21). Let c = 5021 - 105529/21. Let i = c + r. What is the common denominator of i and 49/6?
6
Find the common denominator of -67/20 and (2/6)/(690/(-1935)).
460
Find the common denominator of 173/510 and ((-9)/(-63))/(2/(-2) - -2).
3570
Let r = 7213/34 - -1199251/442. Let n = 2923 - r. Find the common denominator of n and 9/5.
65
Suppose q + q + 4*a - 28 = 0, 0 = a - 2. Let p(t) = 2*t - 7. Let v(z) = z - 3. Let o(n) = -6*p(n) + 14*v(n). What is the smallest common multiple of q and o(6)?
60
Let c = -39856/3 - -13597. Let b = c - 288. What is the common denominator of b and 93/38?
114
Suppose 0*l = l - 2*j - 106, 5*l = -3*j + 491. Suppose -5*c = -10*c + l. What is the lowest common multiple of c and 36?
180
Let l be (-2694)/9 + (1 - -1). Let f = 6724 + -12883/2. Let b = f + l. Calculate the common denominator of 19/18 and b.
18
Calculate the least common multiple of 126 and 3 + 3/(-2) + 33/22.
126
Let v be (-4 + 39/10)*(-23155)/4. Let b = -152263/264 + v. What is the common denominator of -31/18 and b?
198
Calculate the lowest common multiple of 91 and (20/(-40))/(8/(-2704)).
1183
Let a = -303 - -388. What is the smallest common multiple of a and 5?
85
Suppose 0 = 9*t - 7*t - 4. Find the common denominator of -17/16 and (-1770)/24*t/55.
176
Suppose 4*s - r - 65 = 0, -3*s - 2*r + 53 = -7*r. Calculate the smallest common multiple of 10*(-1)/(-8)*s and 8.
40
Let g be 148983/(-120) + 2/5. Let d = g + 1243. What is the common denominator of d and 508/(-54)*(-9)/(-12)?
72
Suppose -44 = -4*v + 2*r, 14 + 22 = 3*v - 3*r. What is the common denominator of 53/8 and 14/v*6/7?
40
Let f be (-11 - 13)/((-1)/((-2)/(-4))). Suppose 14*q - 36 = f*q. Calculate the smallest common multiple of q and ((-4)/5)/(1/(-10)).
72
Let c(t) = t**2 + 6*t - 2. Let y be c(-3). Let i = 11 + y. Suppose 5*o + 2*p - 7 - 33 = i, -2*o + 2*p = -16. Calculate the smallest common multiple of o and 10.
40
Let y = 38336982815/162184152 - -49/1067001. Let z = -4606/19 + y. Calculate the common denominator of 53/8 and z.
24
Suppose 3*s - 5*p - 43 = 0, -3*p = -3*s + 48 - 15. Calculate the lowest common multiple of 80 and s.
240
Suppose 0 = -7*b + 170 - 51. Suppose 12*f - b*f = -5. Calculate the smallest common multiple of 81 and f.
81
Let a = 39/17 - 57/136. Calculate the common denominator of a and 202/20*2/(-2).
40
Let o be 62918/(-8940) - 2/15. Let t = 2/447 + o. Calculate the common denominator of t and 4/(1 + 5/(-3)).
6
Let k = -1959/38 + 217637/4180. Find the common denominator of 89/8 and k.
440
Let f = 1/2 - -24. Calculate the common denominator of 89/2 and f.
2
Let m(c) = 2*c + 6. Let o be m(-3). Let b(f) = -f**2 + 2*f + 7. Calculate the lowest common multiple of b(o) and 73.
511
Let g = -867 - -15481/18. What is the common denomina