). Let c = k + 18. Suppose -4*r - 2*q + 0*q = -58, -c = -2*r + 4*q. Calculate the smallest common multiple of r and 14.
84
Let o(a) = 10*a**2 + 6*a - 1. Let c be o(-3). Let x(y) = y**3 + 5*y**2 - 5*y - 1. Let w be x(-5). Calculate the common denominator of c/159*(-36)/w and -29/12.
636
Let y(q) = -82*q**3 + 5*q**2 - 8*q + 15. Let h be y(-14). Let s be (-2 - 0)/(15/h*4). Let f = -7512 - s. What is the common denominator of 33/8 and f?
24
Suppose -97*w + 91*w + 90 = 0. Suppose w + 25 = 4*f. Calculate the smallest common multiple of 13 and f.
130
Suppose -194*s = -137425 + 38485. What is the smallest common multiple of s and 6732?
33660
Let x = 442427/20 + -22118. What is the common denominator of x and -125/29238?
292380
Let q(y) = y**2 - 23*y - 136. Let o be q(-5). Suppose -152 = -4*k + 2*p, 70*k - 67*k + o*p - 136 = 0. What is the least common multiple of 48 and k?
240
Let q(s) = 9*s**3 - s**2 + s. Let a be q(1). Let g(k) = -14*k + 8. Let u be g(a). Calculate the common denominator of 5/20*-6 - u/28 and -43/20.
140
Let v = -676 + 740. Suppose v*i - 72*i = -56. Let l(t) = t**3 - 5*t**2 - 3*t - 2. Calculate the smallest common multiple of l(6) and i.
112
Suppose 0*p = 12*p. Suppose p = -69*r + 65*r + 8. What is the smallest common multiple of (3 + 40/(-12))/(r/(-48)) and 40?
40
Let p(q) = q + 1. Let a be p(-1). Suppose -3*u = f + 3*f - 87, a = -2*u + 10. Calculate the least common multiple of f and 7.
126
Let x = -500761/782 - -10868/17. Let d(z) = 592*z - 1. Let o be d(6). Let b = o - 63901/18. What is the common denominator of x and b?
414
Let m = 95184659/576 - 165251. What is the common denominator of 3 + -82*(-1)/(-16) and m?
576
Let i(y) = 987768*y**2 + 2*y + 10. Let d be i(-4). Let g be d/50*(-2)/(-12) - 2. Let u = 52684 - g. What is the common denominator of 31/24 and u?
120
Let s(u) = u**3 - 3*u**2 - 5*u - 5. Let m be s(4). Find the common denominator of ((-282)/(-16))/((-11)/(-4) + -2) and (-1141)/(-252) + (m/(-12))/(-3).
18
Let j = -2836 - -3221. What is the least common multiple of 154 and j?
770
Let v(w) = -2585*w**3 + 5*w**2 + 22*w + 24. Calculate the lowest common multiple of v(-1) and 3888.
7776
What is the smallest common multiple of 244 and 69488/192 + 4 + (-1)/(-12)?
732
Let l be -35*7/(-49) - (1 - 1). Suppose 5*r + 3*h = 106, -97*r = -94*r + l*h - 70. What is the least common multiple of r and 28?
140
Let w(x) = 217*x**3 + 100*x - 202. What is the smallest common multiple of w(2) and 1734?
1734
Let q = 4379/3176 - 3/794. Calculate the common denominator of -91/1094 and q.
4376
Let p = -94/1903 - 265783/205524. Calculate the common denominator of p and -71/8.
216
Suppose 5*k - 3*a - 146 = 32, 2*a + 37 = k. Let d be (k/20*4)/(-1). Let c(v) = -4*v - 17. Calculate the smallest common multiple of c(d) and 8.
88
Calculate the common denominator of ((-70)/16)/(-7)*(-15 - -31 - 8) and (4/310)/((-10)/35).
155
Suppose -5*f + 15 = 2*j, 4*j - 1614*f = -1612*f + 42. Calculate the least common multiple of j and (-2)/((-2)/3)*2.
30
Let y = 2843/35904 + -277/374. What is the common denominator of y and -71/48?
192
Let j = -45 + 52. Suppose -3*o - 2*a + j = 0, -6 - 3 = -o + a. Suppose 0 = -4*r - r + o. Calculate the smallest common multiple of 8 and r.
8
Calculate the common denominator of 35/332 and 13665/(-149400) + 2 + 19/(-10).
1992
Let g = 397/4 + -667/6. Let t = 4055/30452 - -161/331. Calculate the common denominator of g and t.
276
Suppose 11 = t - 3*v - 43, -t = 5*v - 22. Calculate the least common multiple of t and 1022.
3066
Suppose 4*q - 149 + 81 = 0. Let b(o) = o**2 - 14*o - 45. Calculate the smallest common multiple of b(q) and 30.
30
Suppose 6*g = 1216 + 398. Let x = 368 - g. Calculate the lowest common multiple of x and 54.
594
Calculate the smallest common multiple of 229 - (-10 + 8)/(2/6) and 33.
7755
Suppose 2*o - 2*t - 30 = 0, 5*o = -23*t + 25*t + 63. Let h be ((-6)/(-12))/((-2)/92). Let c = 34 + h. Calculate the smallest common multiple of o and c.
11
Let j = 1308 + -1086. What is the lowest common multiple of j and 30?
1110
Suppose 2*r + 28 = -4*w, -4*r - 11 = -4*w - 3. Let m = -7/2 + 32/9. Calculate the common denominator of (711/(-216))/(r/12) and m.
36
Suppose -1004 = -4*h - 29*x + 30*x, -x + 4 = 0. What is the smallest common multiple of h and 28?
252
Let r = 393468 + -212472581/540. Calculate the common denominator of r and 49/60.
540
Let y = -4 - 0. Let d(j) = j + 5. Let z be d(y). Calculate the common denominator of (85/45 - 0)/(z - 2) and 68/21.
63
Let w = -3/2501 + 57580/47519. Let x = -5170/9 - -576. Find the common denominator of x and w.
171
Let d = 21821/4590 - 19/918. Calculate the common denominator of (-44)/9*(-15)/8 and d.
30
Let m be (-14*(-7)/(-42))/((-373)/(-9)). Let y = m - 25065/11936. Find the common denominator of y and ((1911/(-10))/13)/((-48)/5).
32
Let b be 1*4 + (-10 - -6). Suppose b = -42*s + 28*s + 140. What is the lowest common multiple of 90 and s?
90
What is the common denominator of 53/810 and -6 - ((-260)/70 + -11 + 2)?
5670
Suppose 27*w - 30*w - 15 = 0. What is the common denominator of (-10)/(-35) - (-1100)/(-126) and (-3)/(-5) - 41/w?
45
Let b(r) = r**2 - 6*r + 2. Let t be b(4). What is the common denominator of ((-276)/(-30) + -1)*(-5)/t and -57/16?
48
Let z = 2778 + -2622. Calculate the lowest common multiple of z and 330.
8580
Let f = -103011/3040364 - -2/20543. Let q = -5693/148 + f. What is the common denominator of q and 139/4*(-8)/(-36)?
18
Suppose -27 = -3*o + 3*a, -1 = 2*o + a - 31. Calculate the smallest common multiple of o and 1573.
1573
Let o = -32 + 40. What is the common denominator of 117/14 and (65/(-22))/(o + (8 - 17))?
154
Suppose 0*b + 6*f + 50 = 2*b, 4*f = 4. Suppose 5*y - 7*y - 38 = -4*i, 0 = 2*i + 2*y - b. Let m = -10 + 19. What is the lowest common multiple of i and m?
99
Let k = -15411333945/326 + 47274068. Let y = k - -1/163. Find the common denominator of y and -22/39.
78
Let f = -125 - -123. What is the common denominator of (f - -24)/(-2 + (-492)/(-66)) and (-395)/(-90) - 5 - 4?
90
Let d(v) = v**2 - 7*v. Suppose 0 = g - b, 5*b = g + 25 - 5. Let q be d(g). What is the smallest common multiple of 15 and 3*3/12*(-360)/q?
135
Let n(m) = -m**3 + 6*m**2 + 6*m + 1. Let k be n(7). What is the least common multiple of -24*(-6 + (-21)/k) and 66?
660
Let a = 182/1387 - -18973/183084. Let i = 813/20 + -25979/660. Calculate the common denominator of i and a.
132
What is the least common multiple of 1/11 - 4396*(-28)/1232 and 60?
300
Let f = 373185 + -448941502/1203. What is the common denominator of f and -11/2406?
2406
Let q = 8653 + -34593/4. Let f = 1408207/31400910 - 2/108279. Calculate the common denominator of f and q.
580
Calculate the common denominator of -56/297 and (21/(-21) - 2) + (2330/(-132))/(-5).
594
What is the common denominator of -61/570 and (-574)/(-42)*5/350?
3990
Let m = 42 + -44. Let d be m - (-1)/2 - 807/18. Let u = -1619/33 - d. Calculate the common denominator of u and 50.
11
Suppose -142*t + 48*t + 87360 = -68*t. What is the lowest common multiple of 50 and t?
16800
Suppose -2*b + 3*s = -1886, -3*b + 128*s - 131*s = -2844. What is the lowest common multiple of 1290 and b?
14190
Let g = 757217/224910 + -2/22491. Calculate the common denominator of g and 157/1104.
5520
Suppose -2*r - 3*w + 21 = 9, 3*r + 5*w - 19 = 0. Let a be r + -10 + 3 + -4. Calculate the least common multiple of 12 and (8/10)/(a/(-20)).
12
Let r = 220145821/1019 - 216041. Find the common denominator of 30/11 and r.
11209
Let q = 93827/33 + -2843. Let d = q + 3419/462. Find the common denominator of d and 57/98.
98
Calculate the common denominator of -1 - 2 - 320251/(-102720) and 103/840.
6720
Let z = -53 - -136. Let f = -81 + z. What is the least common multiple of f and 2?
2
Let d = -12/151 - 4393/26425. What is the common denominator of d and -163/150?
1050
Suppose 0 = -30*y + 12041 - 491. Let k = y + -381. What is the lowest common multiple of 10 and k?
20
What is the common denominator of (-3)/(-99)*3/((-9)/(-174)) and 125/396?
396
What is the least common multiple of (3/15 + 98/10)/(1/82) and 15?
2460
Let h be 102/24 + (-2)/8. Suppose -32 = -h*o - 0*o. Suppose i - 752 + 645 = -z, -5*z + 533 = 3*i. Calculate the least common multiple of z and o.
424
Let q = 182 - 1