common denominator of 69/14 and r.
518
Let l(t) = 2*t + 4. Suppose -3*c - 4 + 10 = 0. Suppose -3*b + 0 = 3*f - 15, c*b = 4*f - 44. Calculate the smallest common multiple of f and l(3).
90
Let j be (-8)/(-40)*15 + 22656/(-7550). Let a = j - -91367/15100. Find the common denominator of -51/40 and a.
40
Let s(x) = 3*x + 39. Let f be s(-12). Suppose -o - 3*o + 60 = 4*g, 0 = f*g - o - 65. What is the smallest common multiple of 32 and g?
160
Suppose 0 = -520*w + 526*w - 666. Suppose 45 = -w*d + 116*d. Calculate the least common multiple of d and 61.
549
Suppose -5*w = 2*w - 875. Suppose -15*j - w + 20 = 0. Let d(v) = -v**2 - 9*v - 7. Calculate the least common multiple of d(j) and 26.
182
Let f(j) = 2*j**3 + j**2 - 15*j + 2. What is the least common multiple of f(6) and 304?
1520
Let y be (1 - -1) + -5817*(-6)/(-1440). Let a = 361/16 + y. Calculate the common denominator of a and -57/100.
200
Let f be -2 + ((-1497)/280)/(-1). Let m = 34/35 - f. What is the common denominator of (270/(-360) + 117/132)/(1 + -2) and m?
88
Find the common denominator of (-180)/32 - (-315)/45 and -63/26386.
105544
What is the common denominator of -59/342 and -1098*12/912 - -14?
342
Let d(u) = -8 - u**2 + 4*u + 0*u + 3*u**2. Let i(a) = a**3 - 40*a**2 - 80*a - 173. Let r be i(42). What is the smallest common multiple of d(r) and 8?
88
Let n(v) = -v**2 + 10*v + 84. Let y be n(-6). Find the common denominator of (y/48 - 194/216)/3 and -65/24.
648
Let v = -9431/149820 + -1/454. Calculate the common denominator of v and 95/396.
1980
Let b(r) = -4*r**2 - 183*r - 172. Calculate the smallest common multiple of 184 and b(-6).
3128
Let f = 1843 - 1258. Let p = 5309/9 - f. Let s = 41179/56 - 5073/7. Calculate the common denominator of s and p.
72
Let i = 31110 + -31089. Let p(g) = -23*g + 8. Let l be p(-6). Calculate the least common multiple of i and (-1)/3 - l/(-6).
168
Let v = -83/2 - -45. Let n = 1273 + -1275. Find the common denominator of v and n/(-4) + (-18)/8 + -2.
4
Let y = -30 + 36. Let p(k) = 5*k - 21. Calculate the least common multiple of 1 and p(y).
9
What is the lowest common multiple of 555181/369 - 24/(-54) and 2150?
15050
Let q = -88 - -110. Let m(v) = -21*v - 2. Suppose 2*i + 3*j - 2 = 0, -6 = 2*j - 5*j. What is the least common multiple of q and m(i)?
440
What is the least common multiple of 9 and (-1845820)/(-1840) - 1/4 - 36/(-414)?
9027
Let k(v) = v**2 - 50*v + 195. What is the smallest common multiple of k(46) and 409?
4499
Let m be 250/15*6/5. Find the common denominator of -15/4 and ((-15)/m*-34)/27.
36
Let l = 1380053997/2570 - 536986. Calculate the common denominator of 58/9 and l.
23130
Let w = -79616027/2970 + 134033/5. Calculate the common denominator of w and -43/594.
594
Let t = -132718/355 - 83456891/11715. Let p = 7500 + t. What is the common denominator of 20/183 and p?
2013
Suppose 5*i + 20 = -2*c + 3*c, -212 = -5*c - 3*i. Let j(t) = t**3 + 8*t**2 - 12*t - 56. What is the least common multiple of j(-6) and c?
440
Let c = -43 - -27. Calculate the common denominator of (-101)/35 - -2 - (c + 15) and 31/5.
35
Let d(v) = v**3 - 17*v**2 - 37*v - 17. Let s be d(19). Suppose -k + 2*j + s = 0, -2*k - 4*j = 7 - 51. What is the smallest common multiple of k and 72?
72
Let d = -13303/9 - -1483. Let h = d - 2/9. Calculate the common denominator of h and -1 - 0 - (-69)/(-4).
12
Let h(u) be the third derivative of u**5/20 + u**4/12 + 7*u**3/6 - 13*u**2. Let f(o) = -17*o - 1. What is the smallest common multiple of h(3) and f(-1)?
80
What is the common denominator of (-40)/84*(-10368)/50560 and -97/10?
5530
Let z = 63 + -66. Let w be 15/(-5) - (0 - 8). Let y = z + w. What is the lowest common multiple of y and 6?
6
Suppose -3*p = 21 - 12. Let s be (4 + -6 - p)*(3 + -2). What is the lowest common multiple of 24 and 7/21*s*18?
24
Let s = -2953/3 - -969. Let w = 503 + -243. Calculate the common denominator of s and (84/(-130))/(117/w).
39
Let t(z) = -20*z - 226. Let x be t(-12). Calculate the common denominator of 87/502 and x/48*8379/686.
4016
What is the smallest common multiple of 770 and ((-108)/(-20))/((-51)/(-170))?
6930
Let u = 244624034006317/4300 + -56889310530. Let w = -7414/25 - u. Calculate the common denominator of w and -25/14.
1204
What is the common denominator of 12/88 + 15/5 and 12/(-8)*(-93)/(-18)?
44
Let k = 339 + -327. Calculate the least common multiple of k + (-8)/28 + 26/(-7) and 10.
40
Suppose 3*b = 2*k - b - 14, -k = -3*b - 5. Let z(q) = q**2 + 10*q + 18. Suppose 30*m = 25*m - 40. Calculate the smallest common multiple of z(m) and k.
22
Calculate the common denominator of -109/150 and 2932/(-744) + 4/(-6) - -5.
4650
Let b = -452 - -403. Let i = 56 + b. Calculate the smallest common multiple of i and 261.
1827
Suppose 54*g + 26*g - 52195 = 15*g. What is the least common multiple of 154 and g?
11242
Let y(l) = -4*l - 129. Let f be y(-34). Let p = 7787 - 46873/6. What is the common denominator of (-394)/270 + f/35 and p?
54
Let p = 2061742/22291815 + 6/212303. What is the common denominator of p and 37/10?
1470
Suppose -20 = -4*t, -5*x - 3*t - 107 - 238 = 0. Let h be 6*643/(-4)*(-64)/x. Let d = 848 + h. What is the common denominator of d and -123/10?
30
Suppose 5*q - 80 = 3*i, 14*i - 80 = -5*q + 10*i. Suppose 3*o + o = 4*d - 744, -174 = -d - 2*o. Calculate the lowest common multiple of d and q.
1456
Let n = -168837/410536 + 4/7331. What is the common denominator of n and 31/84?
168
Find the common denominator of ((1*-2)/48)/(680/5200) and 14/3.
204
Suppose -7*g - 2*f + 120 = -2*g, 0 = 5*g + f - 115. Let l = -14 - -92. Calculate the lowest common multiple of l and g.
858
Let s be 7607*(31/(-10) + (-4)/(-1)). Let c = s - 6857. Let v = -2852 + 14216/5. What is the common denominator of v and c?
10
Let z(s) = 10*s - 209. Let l be z(21). What is the common denominator of 93/(-132) + (-20)/16 + l and 59/14?
154
Let c = 53/440 - 1/22. Let x = 218/3 + -3323/48. Calculate the common denominator of c and x.
80
Let i = -19232 - -634735/33. Find the common denominator of 23/54 and i.
594
Find the common denominator of 5 + 430/(-90) - (260/(-405))/1 and 25/792.
7128
Calculate the common denominator of 3/4*(-70 - (-8)/2) and 134/146*21/84.
292
Let s = 6469 - 795706/123. What is the common denominator of s and -88/45?
1845
Let q be ((-14)/35)/(9/15)*309. Find the common denominator of (-19)/57 + q/48 and 112/(-18) + (-12)/(-8).
72
Let g be -1 + 1 + 5090/(-25380). Let w = g + -9/94. Find the common denominator of (130/(-35) - -4) + 1544/(-1680) and w.
270
What is the common denominator of 27/14 and ((-92)/(-368))/(49/85)?
196
Find the common denominator of -49/20 and (-92)/345 - (-25658)/84180.
28060
Let z(j) = 10*j - 54. Let u(n) = 77*n**2 + 19*n - 2. Calculate the lowest common multiple of u(-2) and z(7).
1072
Suppose -3*l - 2*k - 779 = 0, -19*k - 775 = 3*l - 21*k. Let n = 3125/12 + l. What is the common denominator of n and -16/9?
36
Calculate the lowest common multiple of 2134 and 8 - (12/(-10))/((-16)/(7840/(-21))).
38412
Let o(j) = j**2 - 17*j - 1102. What is the lowest common multiple of o(43) and 10?
80
Let d = 61/181 + -72393/211046. Calculate the common denominator of d and -31/212.
2332
Let i = 17487/442 - 736/17. Let n = 4 - 14. Calculate the common denominator of i and (-18)/3*n/(-44).
286
Let h = -23224 - -23756. Calculate the least common multiple of h and 114.
1596
Let v = 5 - -8. Suppose -v*b - 24 = -9*b. Let d(a) = a**3 + 7*a**2 + 4*a - 2. Calculate the smallest common multiple of d(b) and 9.
90
Suppose -2*q + 103 - 35 = 0. Suppose -4*y - 3*b + 51 = q, -4*y = 4*b - 20. Calculate the common denominator of ((-74)/(-42))/(1/(-3)) and y.
7
Let j = 15286 - 733715/48. Calculate the common denominator of -79/2496 and j.
2496
What is the smallest common multiple of 11642 and ((-2168)/813)/((-10)/3 + 2)?
11642
Let d(r) be the first derivative of r**4/4 + 14*r**3/3 + 3*r**2/2 - 16*r - 5. Let h be d(-16). Calculate the common denominator of 176/h - 1/2 and -7/12.
36
Let f be (-1360)/32*(-12)/(-10) + 0. Calculate the common denominator of -97/16 and 122/f*(-3)/8.
272
What is the least common multiple of 5036 and (6 - (3 + 7)) + 22/3*3?
45324
Let r(o) = -1645*o**3 - 4*o**2 + 13*o - 18. Let y be r(5). Let m = -60880617/296 - y. Find the common de