 remainder when 361 is divided by h(11)?
9
Suppose -2155*p = -2149*p - 732. What is the remainder when p is divided by 67?
55
Suppose 485 = -6*c + c. Let s = 396 + c. Suppose 3*v - 3*a - 2*a = s, 4*a = -16. Calculate the remainder when v is divided by 24.
21
Let o(y) = y**2 + 5*y + 3. Let q be o(-5). Suppose 3*r - q*k = 93, -2*r - 38 + 102 = -4*k. Calculate the remainder when 118 is divided by r.
28
Let t = -808 - -843. Calculate the remainder when 277 is divided by t.
32
What is the remainder when 3508 is divided by ((-116)/(-290) + 11/(-15))*-234?
76
Let a = -38 - -41. Suppose 25 = z + 4*n, n = a*z - 42 - 33. What is the remainder when 47 is divided by z?
22
Let m(b) = -b**2 - 15*b + 12. What is the remainder when 44 is divided by m(0)?
8
Suppose 1499 = 5*k - 3*q, 0 = -4*k + 3*q + 683 + 518. Suppose 4*a - 14 = k. Calculate the remainder when a is divided by 16.
14
Let m = -39 - -66. What is the remainder when (-2 + -24)/((-18)/72) is divided by m?
23
Suppose -f + 231 = 4*r, 0*r - 3*r - 3*f = -171. What is the remainder when r is divided by 25?
8
Let j(z) = -z - 7. Let g(i) = i + 6. Let x(r) = 4*g(r) + 3*j(r). Calculate the remainder when x(13) is divided by 3.
1
Suppose 3*c - 4*c + 2*q + 40 = 0, q = -2*c + 85. Calculate the remainder when 164 is divided by c.
38
Let y = -228 + 392. What is the remainder when y is divided by 46?
26
Let v(b) = b**3 - 11*b**2 - 7*b - 23. Let j be v(12). Suppose j = 13*k - 262. What is the remainder when k is divided by 6?
5
Let l = 151 - 81. Suppose -5*b - 2*z - 3*z = -l, 5*z = 4*b - 74. What is the remainder when b is divided by 6?
4
Let q = -416 - -841. What is the remainder when q is divided by 13?
9
Let p = 43 - 36. Let a(j) = 5*j - 22. What is the remainder when 103 is divided by a(p)?
12
Let y(t) = -171*t - 1 + 180*t - 2*t**2 + t**2 + 11. Let r be y(8). What is the remainder when 36 is divided by (26/(-4))/((-9)/r)?
10
Suppose -7*s = s + 8. What is the remainder when (-11 - -2)/(1/s) is divided by 4?
1
Let x = 34 - 9. Let b(k) = -3*k + 81. What is the remainder when x is divided by b(25)?
1
Suppose -30176 = 39*j - 80*j. What is the remainder when j is divided by 74?
70
Let w(o) = 26*o + 14. Let r be w(3). Suppose p - r = -2*c, -c + 4*p + 243 = 4*c. What is the remainder when c is divided by 10?
7
Let g = 35 - 19. Suppose -g = -4*v + 2*v. Calculate the remainder when (6/(-10))/((-1)/25) is divided by v.
7
Let i(z) = -4*z. Let m(h) = -4 - 1 + 0 - 20*h + 3*h**2 + 16*h. Calculate the remainder when i(-7) is divided by m(-2).
13
Let t(v) = v**2 - 13*v + 22. Let z be t(12). Suppose 2*y - 2*w = -3*w - 41, 0 = -2*w - z. Let b = y + 28. What is the remainder when b is divided by 6?
4
Suppose -18*r + 1836 - 108 = 0. What is the remainder when r is divided by 62?
34
Let h(z) = 2*z - 7. Let s = 40 - 31. Let x(b) = -3*b**3 - 5*b**2 - b + 3. Calculate the remainder when x(-3) is divided by h(s).
9
Suppose -129 = 14*y - 591. What is the remainder when 119 is divided by y?
20
Suppose -3*u - 460 + 1585 = 0. Suppose 0 = 6*i - 6 - 12. Suppose 2*h - u = -i*h. Calculate the remainder when h is divided by 13.
10
Let w(u) = -u + 16. Let a(y) = -3*y**3 - 2*y**2 + y + 2. What is the remainder when w(8) is divided by a(-1)?
0
Let b(u) be the first derivative of 8*u**2 - u + 5. Let a be b(2). Let d = 52 - a. Calculate the remainder when d is divided by 12.
9
Let f = 186 - 125. Suppose -4*c = -8*k + 4*k - 92, -3*c = k - f. Calculate the remainder when c is divided by 55/(-5)*((11 - 6) + -6).
10
Suppose -9 = -3*h - 0*h. Let a be (-1 - 1) + (77 - h). Suppose 4*q - a = 24. What is the remainder when 47 is divided by q?
23
Let z(n) = 1 + 0 + 25*n**3 - 138*n**3 + 11*n - 9*n. What is the remainder when z(-1) is divided by 19?
17
Let i = -149 + 158. What is the remainder when 47 is divided by i?
2
Let q = -160 - -214. What is the remainder when 102 is divided by q?
48
Let c(z) = -z**3 + 8*z**2 - 4*z - 9. Let r be c(7). Suppose 16*w - r*w - 24 = 0. Suppose -w*s + s + 225 = 0. Calculate the remainder when s is divided by 16.
13
Let n(k) = 2*k - 3. Suppose -5*f = 10 - 30. Let r be n(f). Suppose r*y = 7*y - 18. Calculate the remainder when 22 is divided by y.
4
Let c = -103 - -230. What is the remainder when c is divided by (16/3)/(18/27)?
7
Suppose 0 = -5*n - 2*o + 56, -2*n + 5*o = -0*n - 5. Suppose -s + 30 = q, -q = -3*s - 0*q + 70. What is the remainder when s is divided by (-1 - 1) + (n - -6)?
11
Suppose 10 = -2*u + 16. Suppose 0 = 2*s + 3*x - 83, 6*x - u*x = -s + 46. Calculate the remainder when s is divided by 20.
17
Suppose 325 = 5*j + 4*y, -5*j + 2*j + 3*y + 195 = 0. What is the remainder when j is divided by 34?
31
Let z(o) = o + 23. Let q be z(-16). Calculate the remainder when 0 + q - (2 - -2) - -20 is divided by 10.
3
Let m = 1277 + -743. What is the remainder when m is divided by 133?
2
Suppose 6 = 2*v + 5*b - 62, -3*b + 170 = 5*v. Calculate the remainder when 570 is divided by v.
26
Suppose 14 + 26 = 4*l. Suppose -3*x - 11 = -5*a, 3*x = -x + 3*a. What is the remainder when l is divided by x?
1
Let w(l) = 3*l**3 - l**2 - 26. Let q(m) = 16*m**3 - 5*m**2 - m - 130. Let i(t) = 2*q(t) - 11*w(t). What is the remainder when 101 is divided by i(0)?
23
Let c be (4*1/18)/((-2)/(-18)). Suppose -c*s - l = -214, 5*l = -7*s + 4*s + 314. Calculate the remainder when s is divided by 14.
10
Let y(n) = n**2 + 3*n + 2. Let q be y(-3). Suppose 0 = -q*i + 69 + 3. What is the remainder when i is divided by 19?
17
Let v be (-9)/6*(-1 + -1). Suppose 0 = v*l - 2*l - 6. Suppose -l*d + d + 549 = 4*n, -328 = -3*d - n. What is the remainder when d is divided by 28?
25
Let z(g) = -67*g + 36. Calculate the remainder when z(-5) is divided by 31.
30
Let x(p) be the second derivative of p**3/3 - p**2 + 2*p. Let d be x(-6). Let n = -10 - d. What is the remainder when 10 is divided by n?
2
Let k(q) = -2*q**3 - 5*q**2 - 4*q - 3. Let c(h) = -h**3 + 20*h**2 - 31*h - 19. Calculate the remainder when c(18) is divided by k(-3).
17
Suppose -220 = 208*u - 213*u. Calculate the remainder when u is divided by 2*8 - 0/(-1).
12
Suppose 0 = 5*y + 5*w - 75, y - 16 = -4*w + 5. What is the remainder when 985 is divided by y?
10
Suppose -25 = 5*a, -2*c + 2 = -4*a + 8*a. Let t(f) = -f**2 - 10*f + 21. What is the remainder when t(-10) is divided by c?
10
Let m(w) = 3*w**3 + 3*w**2 - 2*w + 1. Let y be (-7)/(-14)*(1 - -1). Calculate the remainder when 34 is divided by m(y).
4
Let k(a) = -a**3 + 12*a**2 - a + 12. Let o(f) = -f + 20. Calculate the remainder when k(11) is divided by o(-11).
29
Calculate the remainder when 6*(12 + 10517/78) is divided by 63.
62
Let l(k) = 2*k - 1. What is the remainder when 65 is divided by l(6)?
10
Let d(w) = -w + 11. Suppose -y - 20 = -5*b - 2*y, -3*b = -4*y - 12. Calculate the remainder when 10 is divided by d(b).
3
Let k = -239 + 254. Calculate the remainder when 54 is divided by k.
9
Let p(y) = 95*y**2 + y. Suppose -17*k + 1 = -16*k. Let s(d) = d**2 - 3*d - 7. Calculate the remainder when p(k) is divided by s(-5).
30
Let h = -817 + 834. Calculate the remainder when 123 is divided by h.
4
Suppose 11*h - 4 = 9*h. Suppose 3*w = -h*u + 24, -u + 3 = w - 11. Calculate the remainder when u is divided by 7.
4
Suppose -12 = -2*o + 6. Let k be 2/(-7) - 348/(-42). Suppose -2*m + 18 = -k. Calculate the remainder when m is divided by o.
4
Let p(j) = j**2 - 12*j + 1. Let h be p(13). Suppose 0 = 5*l - h - 46. What is the remainder when l is divided by 11?
1
Let c = 1043 - -1. Calculate the remainder when c is divided by 55.
54
Let y(o) = o**3 - 13*o**2 - 13*o - 16. Let l be y(14). Let u be ((-1)/(-2)*20)/l. What is the remainder when 74 is divided by u/(-3 + 14/5)?
24
Let v = 658 + -453. Calculate the remainder when v is divided by 9.
7
Let p = 9 - -117. Let z = -75 + p. What is the remainder when z is divided by 13?
12
Suppose 5*c - 20 = 4*c. Suppose 3*o - 60 = -a, -c = -o + a - 0. Calculate the remainder when (2 - 2) + (960 + -12)/12 is divided by o.
19
Suppose -4*h - 4 = 0, -14*u + 7*u + 6299 = h. Calculate the remainder when u is divided by 43.
40
Suppose 0*q = -3*q + 87. Suppose 0 = 3*w - 83 + q. What is the remainder when 34 is divided by w?
16
Let o(f) = -63*f**2 - f + 1. Let g be o(1). Let m = g + 91. Calculate the remainder when 81 is divided by m.
25
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