common denominator of -37/140 and (-2259)/(-1134) + 5/(-45).
420
Suppose 0 = 41*d - 40*d - 32. Suppose -19*r = -13*r - 12. Let u(c) = c + 8. What is the least common multiple of u(r) and d?
160
Let m(a) = -5*a**2 + 4*a**2 + 67 - 123 - 32*a. Suppose -3*q + 2 = -31. Calculate the smallest common multiple of q and m(-30).
44
Let i(x) = 2*x**3 - x**2 + 7*x - 3. Let a = -501 + 512. Calculate the least common multiple of a and i(2).
253
Let g = 2839/160 + -579/32. Find the common denominator of g and 97/4030.
8060
Let i = 23365883/294 + -79476. Calculate the common denominator of i and -101/980.
2940
Let z(v) = v**2 - 35*v + 67. Let r be z(31). Calculate the common denominator of -41/24 and (3 - 676/216)/(1/r).
72
Find the common denominator of 4 + (-874)/(-240)*2 + (-36)/(-45) and (-6)/21 - 706/28.
12
Let r be (-264)/168 + (-6)/14. Calculate the smallest common multiple of (-14 - (r - 0))/(21/(-42)) and 164.
984
Let h be (-60)/(-18)*(-18)/15. Let r be (-30)/((-116)/(-32) + h). Find the common denominator of (-341)/r + 76/(-95) and 41/10.
80
Suppose b - 11 = 13*i - 11*i, -3*b = -i - 28. Suppose 2*a - 2*u = 16, 2*u + 16 = 5*a - b. Calculate the smallest common multiple of 27 and a.
27
Suppose -45*x + 14560 = -32*x. What is the common denominator of 15/28 and 144/x*(-2)/12?
140
Calculate the lowest common multiple of 288 and (6/5)/((-3)/(-40)).
288
Let d(j) = -2*j**2 - 14*j - 8. Let c be d(-7). What is the common denominator of -125/66 and ((-493)/c - 6)*(-2)/60?
528
Suppose 0 = -3*z + 15, 4*l - 6 = -5*z + 15. Let o be l - ((-8900)/(-352) + 1). Let q = o - -689/24. What is the common denominator of q and 119/6?
66
Let c(b) = 2*b**2 - 6*b + 1. Let q be c(4). Let m = 183880/27 - 6808. Find the common denominator of m and (-191)/30 + (q - 7).
270
Let o be (-10)/(-35) - (-206)/14. Calculate the least common multiple of (-22)/(-55)*15/2 and (-10)/o - (-28)/6.
12
Let d = 7059699/440 + -16045. What is the common denominator of d and 43/50?
2200
What is the common denominator of (10 - 10) + (-8)/(-10) + 68/14790 and 67/1044?
1044
Find the common denominator of (-510)/46 + (-68 - -79) + (-698)/(-21252) and 10/273.
6006
Find the common denominator of -1 + 1 + (-59)/72 and ((-258)/16 + 2)/((-53)/(-60) - (-1090)/(-8175)).
72
Calculate the common denominator of (-1 + (820/(-68))/5)*(-57)/836 and -21/11.
374
What is the lowest common multiple of 4800 and (27*(-6)/(-9))/(((-1215)/4800)/(-27))?
9600
Calculate the lowest common multiple of 242100/1000 + (-2)/20 and 352.
3872
What is the common denominator of 150/1125*10815/(-1008) and (-131)/(-48) + -2 - -2?
144
Let v(c) = -3*c**3 + 16*c**2 + 38*c - 177. Calculate the smallest common multiple of v(5) and 94.
1786
Let q(v) = v + 74. Suppose 0 = -t - 4*r - 21, 2*t = -3*r - 62. Calculate the smallest common multiple of q(t) and 5.
185
Let m(h) = -9*h + 3. Let s = 5 - 8. What is the common denominator of m(3) and (4/(-48)*142)/(s/2)?
9
Let q = 228 - 224. Calculate the common denominator of ((-170)/108)/(2/6) and 86*(25/6 - q).
18
Let v(d) be the second derivative of 3*d**4/2 - d**3/6 - 26*d. Let n be v(2). What is the lowest common multiple of ((-34)/(-119))/(2/n) and 14?
70
Let i(k) = 5*k**2 - 5*k + 8. Let t be i(2). Suppose -21*p + 30*p = t. What is the smallest common multiple of p and 10?
10
Let u = 5383/19 + -284. Let h = 11/95 - u. Find the common denominator of h and 113/84.
420
Let i = -82150105/104376 - 648/4349. Let g(d) = -47*d**2 - 7*d - 7. Let l be g(4). Let a = i - l. Calculate the common denominator of -7/18 and a.
72
Let c = 83231/24024 + -1061/312. Find the common denominator of -10/231 and c.
924
Suppose 220 = 11*d - 15*d. Let o be d/(-65) - 6/(-39). Suppose 2*f + 0*f - 5 = -z, -2*f + 5*z = o. Calculate the smallest common multiple of 3 and f.
6
Let r(d) = d**3 + 5*d**2 - d + 1. Let f be r(-5). What is the common denominator of 13601/696 + 56/(-4) and ((-3)/f)/((-88)/(-92))?
264
Let w be 5 - ((-488)/(-111))/((-15)/(-18)). Let h = w - -7442/14245. Find the common denominator of h and 71/66.
462
Let j = -2953 - -3349. Calculate the least common multiple of 74 and j.
14652
Let m be -3 - (0 + 2/(-2)). Let i = 298803/40 - 7471. Find the common denominator of i and 4 + 37/(-28) + m.
280
Let j be (-77974)/(-6) + ((-4)/(-6))/2. Let t = j + -350851/27. Find the common denominator of t and -15/8.
216
Suppose -7*m = 556 + 165. Suppose 0 = 5*u + 208 + 277. Let w = u - m. What is the smallest common multiple of w and 33?
66
Suppose 279*a + 4680 = 435*a. What is the least common multiple of a and 7164?
35820
Let r = 12323/9142 - -6/653. Suppose -1784 = 4*d + j, -j + 2243 = -5*d + j. Calculate the common denominator of r and 2 + 2*d/240.
280
Let m = 18365 - 12655. Calculate the smallest common multiple of m and 3.
17130
Let r = 96 + -46. Let f = 980 - 976. Suppose 15*u - 36 = 13*u - 5*q, 5*q = f*u - 12. What is the least common multiple of r and u?
200
Suppose -14*g + 2*m + 36462 = 0, 2*g - 199*m + 194*m - 5223 = 0. What is the smallest common multiple of g and 1302?
2604
Let i = 82520861/276 - 298989. Find the common denominator of i and 127/108.
2484
Let x = -7594 + 9827. What is the least common multiple of 812 and x?
8932
Suppose -146*i - 4524 = -224*i. What is the lowest common multiple of 370 and i?
10730
Let i = 42 - 37. Suppose -6*g = -3*g + 2*p - 38, -5*g - i*p = -70. Calculate the smallest common multiple of 54 and g.
270
Calculate the smallest common multiple of (-2)/(-12) + (-3)/(-18)*161 + -2 and 7.
175
Suppose -3*x = -57 - 24. Let a = 126 + -120. Suppose a*f - 3*f = x. What is the smallest common multiple of f and 2?
18
Suppose -p + 0*q - 3*q = -16530, 4*q = 16. Let x be ((-25306)/(-16))/((-99)/1034). Let s = p + x. What is the common denominator of -1/10 and s?
180
Calculate the common denominator of -2*35/14 - (-4377)/900 and -29/200.
600
Suppose -8 = 448*c - 450*c. Suppose -90 = -13*q + c*q. What is the smallest common multiple of 10 and q?
10
Find the common denominator of ((-803)/44)/(1/3)*(-6)/414 and 149/96.
2208
Calculate the common denominator of 114/2*1/(-158) and (-236)/(-960)*12 + 4/(-5).
1580
Let a = 35888/10379 - 349/97. Calculate the common denominator of 1*-1 - (-957)/(-110) and a.
1070
Let g be -1 - (-165639)/20916 - 0/(-2). Let x = g + -3/1162. Let v = -200 - -1997/10. What is the common denominator of v and x?
60
Suppose 5*p - 2*z = -1, p + 5*z = -p + 17. What is the least common multiple of 7 and (71 + -2)*7/21*p?
161
Let q be (2313/12)/(-17*(3 - -3)). Let z = 115/17 + q. Let t = 679541/32 - 21234. Calculate the common denominator of z and t.
32
Suppose -98*q + 1620 = -95*q. What is the common denominator of 2/8 - 2685/q and 89/48?
144
Let j be 3/9*(22494/4506 - 5). Let s = 2197/21028 - j. Calculate the common denominator of s and -65/4.
28
Calculate the common denominator of (-7 - -5)*(546/(-175) - -2) and 5/(-60)*-2 + (-62)/(-132).
275
Let q be (-1136)/3*147/(-98). Let g = q + -507. What is the lowest common multiple of g and 6?
366
Let w be ((-260)/(-125))/(273/5121610). Let d = -39021 + w. What is the common denominator of 187/210 and d?
210
Suppose -10 - 5 = 5*a, 0 = 3*n - 3*a. Find the common denominator of 2 - (-4 + (-2120)/(-525))*n and -27/35.
35
Let q = -4654 - -5326. Calculate the smallest common multiple of 35 and q.
3360
Calculate the smallest common multiple of ((-208)/182)/((-1)/7) and 32.
32
Let y(a) = -12*a**3 - 15*a**2 - 31*a + 6. What is the lowest common multiple of 216 and y(-3)?
864
Suppose 11*a + 15 = 8*a, n - 4*a = 1112. Calculate the least common multiple of 14 and n.
1092
Let h be (-30)/45 + (-32)/(-3). Suppose 10*z = -h*z + 16720. What is the lowest common multiple of z and 12?
2508
Let x(f) = -30*f**3 + 5*f**3 - f + 12*f**3 + 9*f**2 - 7 + 12*f**3. Let i be x(7). Let b = i - 78. Calculate the smallest common multiple of b and 9.
18
Let y = 157 + -385. Let h = -98 - y. Calculate the least common multiple of 15 and h.
390
What is the common denominator of (-388)/(-485) - 10621/13320 and -127/6216?
18648
Let r be (25/(-10))/5*-2. Suppose 0 = -59*w + 60*w - r. What is the least common multiple of w and 6?
6
Let p be -9957 + -8 + (-8)/8. Let j = -179533/18 - p. Find the common denominator of j and -65/9.
18
Suppose -5*x - 17 + 72 = 0. Suppose -4*i + 0*i = -28