uppose -5*f = p - 10, -p - 8*f = -11*f - g. Calculate the lowest common multiple of 50 and p.
50
Let x(m) = 311*m. Let l be x(-4). Let k = l + 15029/12. Calculate the common denominator of k and (-17 - -43)*6/(-8).
12
Let i be (-26930)/11 + 22/121. Find the common denominator of -3 - (4900/i - 8/(-36)) and 19/20.
340
Let c be ((-3)/6)/(28/8 + -3). Let f be (-3 - c)*9/(-6). Suppose -15 = 5*k, 2*s - 52 = -f*s + 4*k. Calculate the smallest common multiple of s and 7.
56
Let m = 2785 - 2773. What is the smallest common multiple of m and 120?
120
Let d(k) = 2*k**3 + 6*k**2 - 44*k - 18. What is the smallest common multiple of 930 and d(-6)?
930
Let s(p) = 3*p**3 - 123*p**2 + 39*p**2 + 42*p**2 + 7*p - 6 + 41*p**2. Calculate the smallest common multiple of 54 and s(1).
54
Calculate the common denominator of (325/(-240))/(4/(8 + 8)) and 157/6318.
12636
Let d = 30 + -12. Let s = 829 - 2453/3. Find the common denominator of ((-2)/d)/(20/(-3930)) and s.
6
What is the common denominator of ((-4)/(-6))/(3332/(-42)) and 117/748?
5236
Let l = -567613/5 + 95351959/840. Let d = -67/7 - l. What is the common denominator of 22/3 and d?
24
Let m = -1/267 - 263/1068. Find the common denominator of (-61 + 2)/((-16)/(-1)) and m.
16
Let h = 47482/27 + -1759. Let p = 247/189 - h. Calculate the common denominator of 31/37 and p.
259
What is the common denominator of -37/2 and 24/((-4416)/(-2540)) - 12?
46
Suppose -22 = 2*q - 5*x, -5*x + 31 = -5*q + 6. What is the common denominator of 1/48 and q - 0 - 852/180?
240
Let j(m) = 5*m**3 + 2*m**2 + 14*m - 21. Let c be j(3). Suppose 9*i = -3*r + 12*i + 102, -5*r = -i - c. Calculate the smallest common multiple of r and 70.
70
Let p(l) = 9*l + 218. Let i be p(-24). Suppose -2*c - 6*j = -7*j - 107, i*j = 5*c - 266. What is the smallest common multiple of c and 32?
416
Let t = 5974 + -5150. Calculate the lowest common multiple of 8 and t.
824
Let p(r) = 14*r - 88. Let i(u) = -2. Let m(a) = -4*i(a) + p(a). Calculate the lowest common multiple of m(13) and 12.
204
Let h be ((-4)/(-3))/(32/(-48)). Let d be 2/((-2)/2932*h). Let i = d + -20639/14. Calculate the common denominator of -53/8 and i.
56
Let g = 93 + -82. Find the common denominator of 109/20 and g/(-154)*2114/36.
180
Let y be 8/(-83484)*(-1507314)/40. Let g = 212962/4487265 + -55/1161. Let v = g + y. Find the common denominator of 41/9 and v.
18
Let i(t) = 2*t**2 - 2*t - 4. Suppose -4*h + 3*r - 2*r + 8 = 0, -3*h + 3*r = 3. Calculate the least common multiple of i(h) and 71.
568
Suppose -b - 4*b + 135 = 0. Let f(h) = -5*h**3 - 63*h**2 + 477*h - 21. Calculate the least common multiple of b and f(-18).
1269
Let k be 3*3/9 + -4 + 0. Calculate the common denominator of 87/10 and (35/2 - k)/(-2 + 1).
10
Suppose -k + 8 = k. Calculate the smallest common multiple of 64 and 17802/559 + k/(-78)*-3.
64
Let f = 411/5 - 83. What is the common denominator of f and (-3249)/(-456)*24/15?
5
Let w = 6253/2384 - 9/149. Let t = w + -65/48. What is the common denominator of -137/60 and t?
120
Let y = 19963 + -19953. What is the least common multiple of y and 20366?
101830
Let f = -5 + 17. Calculate the smallest common multiple of 1634 and f.
9804
Let c(x) = -x**3 - 2*x**2 - 4*x + 2. Let p be c(-7). Let g be 3 + (16899/138)/(p/(-10)). Let q = 2/1265 - g. What is the common denominator of q and 9/2?
22
What is the lowest common multiple of 104 and ((-160)/10 - -12)*(-63)/2?
6552
Let f = 757 + -751. What is the common denominator of -33 and f/21 - (-1210)/(-13937)?
181
Suppose -4*y + 9*n - 10*n + 90 = 0, 3*y - 64 = n. Let x = 42 - y. Suppose 0 = 3*m - 2*r - 6, -3*r = 2*m - 2 - 2. What is the lowest common multiple of x and m?
20
Let u = -1521 + 2200. What is the smallest common multiple of 485 and u?
3395
Let i be (5/(-2))/(-4 + (-27)/(-6)). Let y be 3/(-1) - (9545/156)/i. Let n = y - 21/52. Calculate the common denominator of -65/8 and n.
24
Suppose -13*a + 3777 = -a + 2301. Calculate the smallest common multiple of 738 and a.
738
Suppose -2*a - 7*a = 27. Find the common denominator of 137/90 and (-15)/a + ((-129)/54 - -3).
90
Let q = 41465/6 + -2404769/348. Let a = -350245 - -1400989/4. What is the common denominator of q and a?
116
Let u = 312 - 225. What is the common denominator of 97/258 and (20/15)/(10/u)?
1290
Let g = -759 - -734. What is the common denominator of 101/20 and (1/g)/(30/7275)?
20
Let n(o) = -o**3 + o**2 - 4*o + 310. Calculate the least common multiple of n(0) and 6.
930
Calculate the common denominator of 193/(-12) + 13*102/221 and ((-2)/69)/(36/(-135)).
276
Calculate the common denominator of (0 + (-267)/18)/(65/15 - 5) and (-2)/4 - 395/(-90).
36
Calculate the common denominator of 97/36 and (2 + 31/36)/(1266/(-18)).
7596
Let z(w) = -w**2 - 21*w + 30. Let o be z(-23). What is the common denominator of 131/24 and (-508)/o*9/(405/(-10))?
72
Let h = 4235 + -3407. Calculate the least common multiple of h and 12.
828
Let y = 1075897 - 6941687467/6452. Find the common denominator of 1/5 and y.
32260
Let n be (1*-1)/(1/6335). Let a = 8406105 - 100949237/12. Let h = n - a. Calculate the common denominator of h and -1/6.
12
Let u be 3 + -4 + 4 + 201983/(-20). Let y = -30420 - -20318. Let x = u - y. Find the common denominator of x and -19/260.
260
Suppose 42317*m - 42362*m = -3150. Let u(c) = 27*c**3 + c**2 - c + 1. Calculate the least common multiple of u(1) and m.
140
Suppose 54 = -0*k + 3*k - 5*m, 3*k - 4*m = 54. Suppose -k*w + 192 = -2*w. Calculate the lowest common multiple of 4 and w.
12
Let f be (-52)/1 + -1 - 1. Calculate the common denominator of 55/(-150)*f/4 and (-14)/(-112)*692/15.
60
Let w = 602 - 600. Calculate the common denominator of 47/9 and (w - 1362/675)*2730/(-80).
450
Let z = -2064/23 + 83227/920. Let o = -86 + 428/5. What is the common denominator of o and z?
40
Let t be (2/(-7))/((-2)/7). What is the least common multiple of 88 and t/((-6)/30) - -69?
704
Suppose 42 = 2*c + y, c - 24 + 3 = 5*y. Suppose -25*i + c*i = -40. What is the lowest common multiple of 50 and i?
50
Let t = -1684841/285 + 29563/5. Let h = -242/67 + 14071/1206. Calculate the common denominator of t and h.
342
Let a(s) be the third derivative of s**6/120 - s**5/10 - s**4/4 + 10*s**3/3 + 10*s**2 + 3. Let v = 97 - 88. Calculate the lowest common multiple of a(7) and v.
27
Suppose -12 = -2*w - 2*a, 5*w - 4*w - 2*a = 3. Suppose u - 3*d - 8 - 9 = 0, -4*u = w*d. Let x = -2 + 3. What is the least common multiple of x and u?
5
Let q be -106*(-6)/28 + 10/35. Suppose -j + m = -q, 0 = j - 4*j - 5*m + 109. Calculate the lowest common multiple of 3 and j.
84
Let l = 1809 + -3694. Let o = -49027/26 - l. What is the common denominator of 151/42 and o?
546
Let y(m) = -m + 4. Let v be y(-2). Suppose 2*h - 4 - 22 = -p, 2*h - 4*p = v. Calculate the smallest common multiple of h and 7.
77
Suppose -299*g = 13*g - 6864. Calculate the smallest common multiple of 8679 and g.
17358
Calculate the smallest common multiple of 411 and (-104)/364 + 0 + 4162/14.
40689
Let u(m) = -3*m**3 - 3*m**2. Let y be u(3). Find the common denominator of 3*304/(-384)*(-3)/(-6) and (-37)/(-1)*3/y.
144
Let m(s) be the third derivative of 2*s**4/3 - 3*s**3 - 3*s**2. Let u be m(-9). Find the common denominator of -11/12 and (8 - 5) + u/64.
96
Let d = 4273 + -12857/3. Find the common denominator of d and 29/293.
879
Suppose 85*z = -74*z + 7*z + 1064. Calculate the smallest common multiple of z and 5873.
5873
Suppose -3*w + h - 123 = 0, 0 = -4*w + w + 3*h - 117. Find the common denominator of (-23)/(-20) + 4 + 180/w and -85/44.
1540
Let t(z) = 27*z + 81. Let u(g) = 5*g + 16. Let c(p) = -2*t(p) + 11*u(p). What is the least common multiple of 14 and c(-4)?
70
Let j be ((-2)/4)/((-11)/66). Calculate the common denominator of (-6)/(-10) - 17/((-39015)/1258) and 1/((-99)/(-24) - j).
27
Suppose -60*o = -50*o - 37*o + 162. Calculate the smallest common multiple of o and 246.
246
Let d(g) = g**3 + 4*g**2 - g - 7. Let p be 1/(-6) - (-306)/(-108). Let y = 138 + -134. Calculate the smallest common multiple of d(p) and y.
20
Let a = 1226 - 386. Suppose -16*d = -4*d + a. Let c = d - -86. Calculate the least common multiple of c and 22.
176
Let y = -1300 + 6376. What is the least common multiple of y and 12?
5076
Suppose -1153*i + 6000 = -1103*i. 