
15
Suppose -47*n = -49*n, -4*y - 4*n - 180 = 0. Suppose -5*r - b = b + 39, 0 = 5*r - 4*b + 57. Let x = r - y. Calculate the remainder when 106 is divided by x.
34
Let v(g) = -33*g + 5. Let m be v(-3). Let s = -49 + m. Let k = s - 1. What is the remainder when k is divided by 19?
16
Suppose -2*v = -432 + 122. Let j be 6 + 6/((15/(-10))/1). Suppose 0 = -5*f + 4*k + 262, 9 = j*f + 4*k - 107. What is the remainder when v is divided by f?
47
Let l = 145132 + -145110. Calculate the remainder when l is divided by 1 - 1*-9*1.
2
Suppose 4008 = -21*d - 2817. Let b = d - -371. What is the remainder when b is divided by 17?
12
Suppose 45*w - 21*w + 70728 = 0. Calculate the remainder when 91 is divided by (-2)/(-9) + w/(-63).
44
Suppose 0 = -5*v - 4*c + 86, -2*v + c = -53 + 16. What is the remainder when 663 is divided by v?
15
Let w = -805 + 933. Let v = -9 - -22. What is the remainder when w is divided by v?
11
Suppose 2 - 62 = -2*z. Suppose 29*b = z*b - 11. What is the remainder when 163 is divided by b?
9
Let a(j) be the first derivative of -4*j**2 + 2*j + 42 - 8/3*j**3 - 1/4*j**4. What is the remainder when 14 is divided by a(-7)?
5
Let p(j) = -39*j + 1386. Calculate the remainder when p(17) is divided by 29.
27
What is the remainder when (-1419)/(-6) + ((-87)/(-6) - (-4 + 19)) is divided by (-200)/(-6) - (-2)/3?
32
Suppose -136 = -3*j + 2*j. Let p = -95 + j. Let y(o) = -o**2 - 44*o - 448. What is the remainder when p is divided by y(-17)?
8
Let i(u) = 185*u + 2826. What is the remainder when i(-7) is divided by 47?
27
Suppose 3*r - 8*r = 4*n - 128, -5*n + 177 = 2*r. Let h = 78 - n. Calculate the remainder when h is divided by 6.
5
Let i(l) = -16*l - 4. Suppose -128*s + 150*s = 572. Calculate the remainder when i(-3) is divided by s.
18
Let l = 16 + 28. Suppose 2*c = h - 14, -c - 67 = -10*h + 168. What is the remainder when l is divided by h?
20
Let j(i) = -2*i**3 + 2*i**2 + 4*i - 3. Let b = -1 + 1. Suppose 15*t - 10*t + 15 = b. What is the remainder when j(t) is divided by 12?
9
Let m(p) = -p**3 - 21*p**2 + 3*p + 72. Let k(l) = l**3 - 4*l**2 - 2*l - 6. Let t be k(3). Calculate the remainder when 2/8 + 828/16 is divided by m(t).
7
Suppose 19 + 20 = 3*i. What is the remainder when (-29775)/(-794) + 3/(-2) is divided by i?
10
Let z be 3/(-3)*(1 + -3). Suppose -y = 4*y + 2*p - 722, 0 = -y - 2*p + 138. Suppose z*l + 22 = y. What is the remainder when l is divided by 21?
20
Let f be -2 + ((-392)/(-3) - (-68)/(-102)). Suppose z + f - 37 = b, 4*z = -b + 66. What is the remainder when 601 is divided by b?
85
Let u = 156 - 34. Let f be 0/2 + (u - 12). Suppose c + f = 3*c. Calculate the remainder when c is divided by 14.
13
Let w(o) = 8 + 2*o**2 - 6 + 0 + 30*o + 1 - 2. Let l(f) = f**3 + 5*f**2 - 6*f - 1. What is the remainder when w(-20) is divided by l(-5)?
27
Suppose 10*l - 8 = 2*l. Let t(m) = 82*m**3 - 2*m**2 + 5*m - 4. Let v be t(l). Let o = 122 - v. Calculate the remainder when 156 is divided by o.
33
Suppose 3*p - 30*q - 272 = -32*q, 424 = 4*p - 5*q. What is the remainder when p is divided by (-2 + 6)/(-2) - -13?
8
Suppose k + 1240 = 11*k. Let o = k - 117. What is the remainder when 16 is divided by o?
2
Suppose h + 4*p - 1550 = 0, -139*h + 135*h + 6185 = p. Calculate the remainder when h is divided by 18.
16
Suppose -w + 4 = 0, -2*n + 5*n = w + 65. Let c(r) = -r**2 + 19*r + 12. Let a be 2 - (-7)/(-5) - (-368)/20. Calculate the remainder when n is divided by c(a).
11
Suppose -3*i + y = -375, 0 = 4*i + 133*y - 136*y - 510. Calculate the remainder when i is divided by 74.
49
Suppose 0 = -18*j + 13*j + 75. Suppose 0 = u + 2*n - 109, -j = n - 4*n. What is the remainder when u is divided by 57?
42
Suppose -3684 = -33168*d + 33156*d. Calculate the remainder when d is divided by 55.
32
Suppose 3*l = -3*p + 249, -5*p - 134 = -2*l + 46. Suppose 20*d + l = 925. Calculate the remainder when 115 is divided by d.
31
Suppose -2*p = -5*x - 228, -3*x + 404 = -0*p + 4*p. Let n = p - 55. Suppose -11*i + 12*i - 243 = 0. What is the remainder when i is divided by n?
47
Let r = 53 + -38. Let w = -13 + r. What is the remainder when w is divided by 65/52 + (9/4)/3?
0
Let l(i) = i**2 + 422*i + 16310. What is the remainder when (288/10)/(6/20) is divided by l(-43)?
5
Let a = -217 + 25. What is the remainder when 327 is divided by 3 + a/(-4) + -4?
45
Suppose -4*c + 73 = q, 0*c - 2 = -c + 3*q. Suppose -20*k + 830 = -15*k. Suppose -164*z - 168 = -k*z. Calculate the remainder when z is divided by c.
16
Suppose -6719 = -222*p + 163*p + 18297. What is the remainder when 1304 is divided by p?
32
Let d be -2*2*30/(-3). Let q = -13 + d. Suppose 39*u + 24 = 42*u - 3*o, -3*u = 2*o + 1. Calculate the remainder when q is divided by u.
0
Let r(k) = 2*k**2 + 133*k + 1570. What is the remainder when r(-14) is divided by 27?
19
Suppose -110 = -9*u + 4*u. Suppose -3 = -26*m + 335. What is the remainder when u is divided by m?
9
Let j be 2/(-7) + (-312)/84. Let q be 6 - (0 + j*9/(-12)). What is the remainder when 25 is divided by (7 - q) + (-2 - -5)?
4
What is the remainder when 5444 is divided by (-52)/(-2) - (112 - 98)?
8
Let d(y) = -11*y - 2. Let a = 2 + -4. Let i(v) = v**3 - 59*v**2 - 188*v + 223. What is the remainder when i(62) is divided by d(a)?
19
Let y(n) = n**3 + n - 2. Let h be y(1). Let d = 104 - 55. What is the remainder when d is divided by (1 - 5 - -21) + h?
15
Suppose 0 = 4*g - 9 + 1. Let s = 32 - g. Suppose 24*u - s*u = -216. What is the remainder when u is divided by 20?
16
Let r(g) be the third derivative of -g**6/20 + g**5/60 - g**3/2 - 7*g**2. Let z be r(-2). Let p = z + -14. Calculate the remainder when 138 is divided by p.
33
Suppose p - 1 + 0 = 0. Let h be 40/10 - p/(-1). Suppose 5*x = h*b + 15, -4*b + 18 - 6 = 0. Calculate the remainder when 15 is divided by x.
3
Suppose -5*r = 3*g - 99, -r = -3*g - 14 + 95. Suppose 0 = f - g - 3. Calculate the remainder when 122 is divided by f.
29
Let r = -51 - -126. Suppose 3*i - 5*j - 21 - 55 = 0, 5*i - r = -2*j. What is the remainder when 1*65 + 1 + -1 is divided by i?
14
Let b(i) = -i**3 + 10*i**2 - 5*i + 8. Suppose 1 + 5 = 3*j. What is the remainder when b(5) is divided by (j - 5)/(-1) + 25?
24
Suppose 5*x + 32 = u, 4*x = -u + 15 + 26. Suppose 0 = -3*m - 3*k + 108, -2*m + 111 = -k + 27. Let s = u + m. Calculate the remainder when s is divided by 21.
14
Let n(p) = 5*p**2 - 70*p - 83. Calculate the remainder when n(19) is divided by 152.
88
Let r(j) = -37*j - 238. Calculate the remainder when 819 is divided by r(-7).
0
Calculate the remainder when (36/28 - 1) + 23518/154 is divided by 10 - 6/9*-3.
9
Let k = 1492 - 1315. What is the remainder when 552 is divided by k?
21
Let m(n) = -9*n + 110. Let x be m(10). Suppose x*d - 6976 = -12*d. What is the remainder when d is divided by 60?
38
Let f be ((-2)/6)/((-1)/15). Suppose 3*o = 3*c - 2*o - 62, 20 = -f*o. What is the remainder when 4 - 12/(-18)*33 is divided by c?
12
Let p(s) = -31 - 39 + 2 - 16*s. What is the remainder when 165 is divided by p(-7)?
33
Let j be 40*(-1 - 2/(-12)*3). Let m be 3/5 - (-3 + 188/j). What is the remainder when (6/(-8))/(m/(-884)) is divided by 18?
15
Let k = 708 - 504. Suppose k = x + 4*p, 3*p + 1112 = -0*x + 5*x. Calculate the remainder when x is divided by 68.
16
Let r = -1183 + 1911. Calculate the remainder when r is divided by 10.
8
Let o(i) = 18*i**2 - 25*i + 36. Calculate the remainder when o(5) is divided by 83.
29
Let m(q) = 8*q**2 + 25*q + 66. Let i be m(-3). Calculate the remainder when 617 is divided by 23/((-2)/(-6) - (-42)/i).
19
Let d(f) = 15*f**2 - f - 17. Let g be d(8). Suppose 0*u + 457 = 2*p + u, -4*p = -5*u - g. Suppose p = 6*s + 68. What is the remainder when 52 is divided by s?
25
Suppose -s + 3*u + 54 = 2*s, 2*s - 40 = 3*u. Suppose -4*g + 5 = 4*l - 31, 0 = -5*l - 3*g + 39. Calculate the remainder when s is divided by l.
2
Let y be -2*(2/(-8))/(1/6). Suppose -2*x + 9*x = -y*x. Suppose 3*r + 0*r - 15 = -s, -2*s = x. Calculate the remainder when r is divided by 4.
1
Let l = -12872 + 13085. What is the remainder when l is divided by 61?
30
Let z(m) = -27*m + 463. Let a be z(17). Calculate the remainder when 455 is divided by a/1 + 465/31.
18
Let h(i) = -3*i**3 - 10*i**2 + 3*i + 15. Calculate the remainder when h(-5) is divided by 3.
2
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