 19.
11
Let o = -319 + 311. What is the remainder when 1005 + (-7 - 72/o) is divided by 8?
7
What is the remainder when (333/12)/((-123)/(-1148)) is divided by 12?
7
Let f(p) = 5*p**2 - 28*p - 47. Let x be f(7). Let y(j) = -13*j. Let o be y(-6). Calculate the remainder when x - 1/((8/o)/(-4)) is divided by 17.
7
Calculate the remainder when 1569 is divided by 2 + 912/18 + 7 + (-6)/(-18).
9
What is the remainder when 24/(-702)*156/(-24) + (-5335)/(-9) is divided by 111?
38
Suppose -18 = 5*s - 58. Suppose -166 = -3*y - 8*z + 3*z, 0 = -3*y - 3*z + 162. Suppose 0 = -s*a - 12 + y. What is the remainder when 13 is divided by a?
3
Suppose -l = -2*w + 10, -2*w + 10 = 24*l - 28*l. Suppose 3*m - 2309 = -4*h, -w*m - 3*h = -2595 - 1246. What is the remainder when m is divided by 77?
74
Suppose -2*c + 2*v = -916, -16 = -2*v - 26. Calculate the remainder when c is divided by 79.
58
Let c(l) = -3*l. Calculate the remainder when (-26)/39*5985/(-114) is divided by c(-4).
11
Suppose -30*m = -5*l - 25*m + 250, -2*l = -3*m - 102. Let x = -197 + 212. What is the remainder when l is divided by x?
3
Let i be (3/(-2))/(1/(-2)). Suppose -t + 2 + i = 0. What is the remainder when 140/(-490) - 163/(-7) is divided by t?
3
Let j(w) = -9*w + 2101. What is the remainder when j(51) is divided by 816?
10
Let x(b) = -b**3 - 18*b**2 + 9*b + 166. Let w be x(-18). Suppose 5*g = 6*g + 5*d - 17, 0 = 5*g + w*d - 85. What is the remainder when 132 is divided by g?
13
Let v(s) be the first derivative of s**4/4 + 35*s**3/3 + 14*s**2 - 151*s + 226. Suppose -2*o = o - 54. What is the remainder when v(-34) is divided by o?
17
Let d = 144 - 34. Suppose -114 = -1642*q + 1639*q. Calculate the remainder when d is divided by q.
34
Let t(f) = 3*f - 11. Let k be t(-3). Let c = 185 - 160. Calculate the remainder when (k/8)/(-5)*70 is divided by c.
10
Let j(y) = -y**2 - 53*y - 30. Let b be j(-29). Suppose 0 = -5*v + 1766 - b. What is the remainder when v is divided by 37?
35
Calculate the remainder when 97 is divided by ((-35113)/4810)/(1/(-10)).
24
Let r = -206 + 218. Suppose 0 = 3*u - 3*w - 267, r = 2*w + w. Calculate the remainder when 461 is divided by u.
89
Let o be -2 + 0 - 0/(-6). What is the remainder when (36/4)/((-1)/6*o) is divided by (2/6)/(2/24)?
3
What is the remainder when 3875 is divided by 21/12*(-8)/2 + (-38 - -121)?
75
Let o = -341 + 362. Let l(t) = 2*t**2 - 43*t + 26. Suppose -2*w + 3*q = 2*q - 13, -4*w + 21 = -3*q. Calculate the remainder when w is divided by l(o).
4
Suppose 35*y - 32*y - 3*d = 1458, 0 = 3*d - 21. Calculate the remainder when y is divided by 51.
34
Let s(p) = -7*p**2 - 13*p - 76. Let l(c) = -c**2 - 1. Let z(f) = 6*l(f) - s(f). Suppose -h - 216 = -3*h. Calculate the remainder when h is divided by z(-6).
24
Suppose -4*j = 3*n - 1294, n - 4*j = -6*j + 432. Let z = n + -353. Calculate the remainder when z is divided by 5.
2
Let w be -258*((-11)/(-10) - 6/10). Suppose 0*x = x - 9. Calculate the remainder when ((-12)/9 - -1)/(1/w) is divided by x.
7
Suppose 4*o = -31 + 47. Suppose -o*j = 4*i + j - 206, -3*i + 2*j = -166. What is the remainder when (-5195)/(-25) + 6 - 4/5 is divided by i?
51
Let r(y) = -5*y - 10. Let n(v) = 2*v - 29. Let l be n(13). Let x be r(l). Let a(z) = z**3 - 2*z**2 - 9*z + 9. What is the remainder when a(x) is divided by 14?
11
Let p be 4*((-27)/36)/((-3)/4). What is the remainder when 121 is divided by 27 + (5 - (p + 2))?
17
Let t(l) = -132*l + 1085. Calculate the remainder when 637 is divided by t(8).
28
Suppose -x = 3*x - 464. Suppose -1919*v + 5*i - 13 = -1916*v, v - 1 = i. What is the remainder when x is divided by v?
8
Let x(d) = -5*d + 3. Suppose 0 = 5*y - 5*p - 490, 863*y - 4*p + 231 = 866*y. Calculate the remainder when y is divided by x(-4).
20
Suppose -4*h = -3*m - 1, -5*m + 27 = 4*h - 14. Suppose m*t + 0*k = -4*k + 84, 2*t = 4*k + 56. Let n = -13 + t. Calculate the remainder when 26 is divided by n.
5
Let l(m) = 12*m - 439. Let x be l(40). Suppose -3*a + 4*t = -1282, 1274 = x*a - 38*a - 2*t. What is the remainder when a is divided by 17?
14
Let g = 458 + -453. Suppose g*u + x - 2292 = 939, x + 3229 = 5*u. What is the remainder when u is divided by 59?
56
Suppose 7*o = -l + 5*o - 120, 0 = -2*o + 6. Let n be ((-1)/1)/(2/l). Let u = n + -57. What is the remainder when u is divided by 5?
1
Let q = -9379 + 9503. What is the remainder when 149 is divided by q?
25
Let o(t) = -4*t**3 + t**2 + t + 1. Let h be o(-1). Suppose 9*b - 224 = h*b. Suppose 0 = -5*i + 9*i - b. Calculate the remainder when 39 is divided by i.
11
Suppose 25*a - 23*a - 7 = 5*s, 0 = -2*a + 3*s + 13. Calculate the remainder when 615/21 - 4/14 is divided by a.
7
Suppose -5*t + 7*t - 3*p = 31, 3*p - 46 = -5*t. Calculate the remainder when 4528 is divided by t.
7
Suppose -30*y + 8*y - 6798 = 0. Let t = y - -361. What is the remainder when t is divided by -1 + 2 + 1 + 25?
25
Let t = -17177 - -17288. Calculate the remainder when 1128 is divided by t.
18
Suppose j - p - 4 = 0, 2*j + 2 = -p - 2*p. Suppose 2*n + 29 = 3*a, 2*a - 9 - j = 3*n. Let f = 1 + a. Calculate the remainder when 40 is divided by f.
12
What is the remainder when 250 is divided by 8*(-30)/480 - (525/2)/(-3)?
76
Let w = 18 + -17. Let b(v) = 14*v**2 - v + 1. Let s be b(w). Suppose -37 = -h - s. Calculate the remainder when h is divided by 14.
9
What is the remainder when 1372 is divided by 399/(-114)*6/1*26/(-2)?
7
Let s = 21533 + -21415. Calculate the remainder when 4835 is divided by s.
115
Suppose 2*m - 16 = -4*n, 5*m - 7 = -n + 6. Let v = 78 + m. Calculate the remainder when v is divided by 7.
3
Suppose 2*v + 49*t - 460 = 53*t, 6 = -t. What is the remainder when 4139 is divided by v?
215
Let s(l) = -6*l**3 - 53*l**2 - 19*l + 17. What is the remainder when 1067 is divided by s(-9)?
260
Let f = 1553 + -1053. Suppose 12*o - 16*o + f = 0. Let z(a) = -10*a - 26. Calculate the remainder when o is divided by z(-7).
37
Let c(y) = -y**3 - 8*y**2 - 4*y + 40. Let x be (-32)/5 - 5/((-100)/(-12)). Let h(m) = 2*m**2 + 2*m - 5. What is the remainder when h(5) is divided by c(x)?
17
Let y(q) = -3*q**3 - 31*q**2 + 19*q + 157. What is the remainder when y(-11) is divided by 62?
4
Suppose -215 = -4*n + 21*h - 24*h, 3*h = -9. Calculate the remainder when 2506 is divided by n.
42
Let g(t) = 64*t**2 - 1365*t + 5476. Calculate the remainder when g(4) is divided by 73.
18
Let o(g) = -g**3 + 33*g**2 - 45*g - 498. What is the remainder when 221 is divided by o(31)?
18
Let m be -3 + -2 + 22 - (2 + 0). Let u(o) = -o + 22. Let t be u(m). Suppose -t*x + 86 = 2. Calculate the remainder when x is divided by 7.
5
Let f(n) = -11*n + 161. Let l be f(15). Let p(w) = w**2 - 9*w - 5. Calculate the remainder when p(l) is divided by 10.
7
Let h = -8 - 35. Suppose 6*l = -10 + 454. Let m = h + l. Calculate the remainder when m is divided by 17.
14
Let t = -180 - -183. Suppose -j - j = -4*b - 302, -6 = t*b. What is the remainder when j is divided by 50?
47
Suppose -288 = -21*z + 27. Let v = 273 - z. What is the remainder when v is divided by 37?
36
Suppose 5*s = -11*s + 8096. Calculate the remainder when s is divided by 17.
13
Let v be (-4)/(-2)*10/(-20). Let i = 4121 + -4110. Calculate the remainder when 1/(1/39) - v is divided by i.
7
Let h(s) = -13*s - 13. Let q be h(-10). Let k = q - 100. Suppose -14*r - 147 = -k*r. Calculate the remainder when r is divided by 25.
24
Let o(p) = 45*p - 224. Let n(k) = -k**3 + 8*k**2 + 12*k - 3. What is the remainder when o(11) is divided by n(8)?
85
Suppose -4*n - 12 = -7*n. Suppose 3*j = j + 4, n*j - 28 = -4*h. Suppose -5*p + 3*p = -f + 9, -8 = -2*f - p. Calculate the remainder when h is divided by f.
0
Let p = -7 + 9. Let c = 45 - 42. Suppose c*i - 26 = -v + p*v, -2*v = -3*i + 31. What is the remainder when i is divided by 5?
2
Let l(v) = -3*v**3 - v**2 + v - 1. Suppose 2*m + 0*m = -4. What is the remainder when -8*(((-18711)/72)/(-21) + -15) is divided by l(m)?
4
Let n(h) = 289*h - 17. Let q be n(1). Let c = q + -224. Let i = 22 - 12. Calculate the remainder when c is divided by i.
8
Let m(k) = -14*k + 3*k - 5 + 2*k - 3. Let z be m(-3). Calculate the remainder when 21 is divided by 7/63*-3 + z/3.
3
Suppose -34*r + 10*r - 4176 = 0. Let z = -160 - r. What is the remainder when 235 is divided by z?
11
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