= 5*m + z, m = -z + 7. Calculate the remainder when 7 is divided by m.
1
Suppose b = 3*b - 52. Let y = 141 + -127. Calculate the remainder when b is divided by y.
12
Let o(p) = p**2 + 6*p + 21. What is the remainder when 25 is divided by o(-4)?
12
Let t(w) = 0*w - 2*w + 3*w - 2*w**2 + 15*w**3. Let z(o) = 2*o**3 - o**2 - 2*o + 1. Calculate the remainder when z(3) is divided by t(1).
12
Let v(w) = w**2 + 8*w + 20. What is the remainder when v(-11) is divided by 18?
17
Let k(f) = f + 6. Let h(t) = -2*t - 8. Let c be h(-10). Calculate the remainder when (-2)/c + 183/18 is divided by k(-3).
1
Let o be (0 - 0) + 2 - -1. Suppose k - o + 0 = 0. Calculate the remainder when 5 is divided by k.
2
Suppose 2*n - x = -0*x + 30, 0 = 5*n + 5*x - 45. Let p = 78 + -40. What is the remainder when p is divided by n?
12
Let o(x) = 6*x - 12. Let d(k) = -k - 2. What is the remainder when o(9) is divided by d(-11)?
6
Suppose -3*v + 6*v = -6, 0 = -n - 5*v + 19. Calculate the remainder when n is divided by 6.
5
Let j(d) = 19*d**2 + 2*d - 4. Let g be j(-3). Let r = g - 79. What is the remainder when r is divided by 28?
26
Let p(s) = 11*s - 2. Let r be p(2). Suppose a - 5*a + r = 0. Calculate the remainder when a is divided by (-2*(-2 - -1))/1.
1
Calculate the remainder when 38 is divided by (-28)/(-3*(-6)/(-9)).
10
Suppose -6*g = 6*g - 60. Calculate the remainder when g is divided by 4.
1
Let o = -12 + 10. Let v = o + 6. What is the remainder when 11 is divided by v?
3
Suppose -3*s = 5*j - 73, 5*s + 2*j = -2*j + 113. What is the remainder when s is divided by 4?
1
Let t(s) = -5*s - 6. Suppose -4*h + 153 = 53. What is the remainder when h is divided by t(-3)?
7
Suppose -4*w + 160 = -0*w. Suppose -4*v - 209 = 3*u, -2*v + 5*v - 5*u + 135 = 0. Let b = -29 - v. Calculate the remainder when w is divided by b.
19
What is the remainder when ((-278)/(-4))/(1/2) is divided by 35?
34
Let m(k) = k**3 + k + 20. Let h be m(0). What is the remainder when ((-25)/20)/((-1)/h) is divided by 9?
7
What is the remainder when 31 is divided by (40 - 23)*(-1)/(1 - 2)?
14
Let a = -8 + 13. Suppose 2*q + 15 = a*q. What is the remainder when 8 is divided by q?
3
Calculate the remainder when (3/(105/(-266)))/(2/(-10)) is divided by 20.
18
Suppose -6*h = -h - 10. Suppose 16 = 5*s - v - 85, -58 = -3*s - h*v. Suppose -5*d + 0*d = -s. Calculate the remainder when d is divided by 3.
1
Let a(o) = -o**3 + 7*o**2 - 6*o + 5. Calculate the remainder when a(5) is divided by 14.
11
Let s = 13 - 3. Suppose -5*l = -58 + 3. Suppose 4*t = -g + 76, -3*t - 2*g = -46 - l. Calculate the remainder when t is divided by s.
9
Suppose 2*y - 1 = 3. Suppose -y*n = -0*n - 6. Suppose 3*h + 170 = 8*h + n*c, 4*h - 128 = -4*c. Calculate the remainder when h is divided by 13.
11
Suppose -6 + 0 = -2*i. Let a(k) = -11*k + 2. Let s(b) = 6*b - 1. Let x(o) = i*a(o) + 5*s(o). What is the remainder when 6 is divided by x(-1)?
2
Suppose 0*x + 4*b = -5*x - 37, -2*x = -3*b + 24. What is the remainder when -2*21*6/x is divided by 10?
8
Let v(u) = 25*u**3 - u + 2. What is the remainder when 283 is divided by v(1)?
23
Suppose 0 = 2*s - 0*s + 4*g - 64, 4*g = -s + 38. Calculate the remainder when 153 is divided by s.
23
Let v(y) = 3*y**2 - 13. What is the remainder when 138 is divided by v(4)?
33
Calculate the remainder when (-105)/(-5) + -2 + -2 is divided by 10.
7
Suppose -i = i. Suppose i*u + 39 = 3*u. Calculate the remainder when (30/4)/3*10 is divided by u.
12
Suppose -20 = 55*f - 60*f. Suppose -4 = -5*w + 11. Calculate the remainder when f is divided by w.
1
Suppose s - 10 = 1. Let z = 1 + 18. What is the remainder when z is divided by s?
8
What is the remainder when 8/(-16) - (-279)/6 is divided by 16?
14
Let k = 97 - 45. What is the remainder when 151 is divided by k?
47
Let r = -76 + 223. Calculate the remainder when r is divided by 37.
36
Let u(m) = -2*m - 1. Let v be u(-12). Let i = 34 - v. What is the remainder when 43 is divided by i?
10
Suppose b - 16 - 3 = 0. Calculate the remainder when 15 is divided by (-2)/6 - b/(-3).
3
Let y(r) = -2*r**3 - r**2 + 3. Let a(j) = -29*j. Calculate the remainder when y(-4) is divided by a(-1).
28
Let f = -6 - -24. Calculate the remainder when 4/f - 3152/(-72) is divided by 23.
21
Let o be 3/(12/4) - -16. Let z = o - 4. Calculate the remainder when z is divided by 8.
5
Suppose 0*u - 5*u + 125 = 0. Suppose 3*b + 0*b + 5*y = -u, b + 5*y + 15 = 0. What is the remainder when b/(-1 - (-4)/6) is divided by 8?
7
Suppose 5*k - 53 = 3*s, -3*k + 0*k = s - 29. Let f(c) = c**3 + c**2 + 17. Let q = 7 - 7. Calculate the remainder when f(q) is divided by k.
7
Let z be (-18)/15*(-10)/3. Suppose 2*i - 14 - 2 = -5*j, -z*i + 2*j = -80. Calculate the remainder when -1*(-2 + 50*-1) is divided by i.
16
Suppose -23 = -3*p + 25. What is the remainder when p is divided by 9?
7
Suppose -56 = -4*c - c - 3*z, -3*c = z - 36. Suppose 2*h - 75 = -h. What is the remainder when h is divided by c?
12
Let m(z) = 7*z. Let t be m(2). Let q be t/3 - 6/9. Suppose -2*u - 5*w = -64, -6*u + w = -q*u - 64. What is the remainder when u is divided by 11?
10
Let l = -3 - -20. Suppose -6 = -k + l. Calculate the remainder when k is divided by 13.
10
Suppose -l + 2 = -0. Let b be -2*(l - 58/4). Let i = b + -10. What is the remainder when 29 is divided by i?
14
Let z = 14 + -9. What is the remainder when z is divided by ((-13)/((-234)/12))/(2/6)?
1
Let r(l) = l**2 + 11*l - 9. What is the remainder when r(-17) is divided by 24?
21
Let m = 214 - 203. What is the remainder when 20 is divided by m?
9
Suppose 0 = -m + 15 + 47. What is the remainder when m is divided by 16?
14
Let p be -2 + 1 - 0 - -7. Suppose b = -2 + p. What is the remainder when 7 is divided by b?
3
Let x(d) = -d**3 + 6*d**2 - 7*d + 6. Suppose -3*g + 0 = -18. What is the remainder when x(4) is divided by g?
4
Let p(a) = a**2 + 11*a - 5. Let j be p(-12). Let q = 8 - j. Calculate the remainder when q is divided by 1.
0
Let h(m) be the second derivative of -13*m**4/24 + m**2 - 2*m. Let v(l) be the first derivative of h(l). What is the remainder when v(-2) is divided by 14?
12
What is the remainder when 192 is divided by (-372)/(-9) - 8/6?
32
Calculate the remainder when -2*(2 + -1)*-23 is divided by 0 + 0 + 32/2.
14
Let i be 38/8 - 12/16. Suppose -64 - 64 = -i*m. Calculate the remainder when m is divided by -11*1/2*-2.
10
Let u = -11 - -7. Let l(c) be the third derivative of -c**6/120 - c**5/30 + c**4/4 + c**3/2 + c**2. What is the remainder when 32 is divided by l(u)?
10
Let s = -17 + 16. Let r(u) = 26*u**2 - u. Calculate the remainder when 51 is divided by r(s).
24
Suppose -4*j = -4*t - 68, -5*j + 2*t = 4 - 74. Suppose -9 = -q - 3*s + 11, -2*q + 42 = 4*s. What is the remainder when q is divided by j?
11
Let d be (312/30)/((-1)/(-5)). Suppose -1 + d = 3*u. Calculate the remainder when 49 is divided by u.
15
Suppose 4*j - 170 = 66. Calculate the remainder when j is divided by 23.
13
Let c = -45 - -48. Let m = 0 - 8. Let v = -3 - m. What is the remainder when v is divided by c?
2
Let p(r) = -r**3 - 5*r**2 - r. Let c be p(-5). Suppose 2*h + c*m = 15, 6*h - h + 4*m - 29 = 0. What is the remainder when 17 is divided by h?
2
Let x(g) = -g**3 - 3*g**2 + 3*g. Let a = -19 + 32. Calculate the remainder when a is divided by x(-4).
1
Let m = -21 + 26. What is the remainder when 9 is divided by m?
4
Suppose 3*w = -33 + 138. Suppose -6 = 2*y - 30. What is the remainder when w is divided by y?
11
What is the remainder when 37 is divided by 11 + 2 - (2 - -1)?
7
Suppose -g + 21 = 4*d, -3*d = -8*d + 5*g + 45. Suppose 56 + 13 = 3*u. What is the remainder when u is divided by d?
5
Let d be -4*2/10 + (-29)/145. Let s(k) = 9*k + 2. Let h(r) = 10*r + 1. Let n(v) = -3*h(v) + 2*s(v). Calculate the remainder when 37 is divided by n(d).
11
Suppose 4*a - 32 = -0. Calculate the remainder when a is divided by 2.
0
Let c = -11 + 14. Suppose 0 = -c*b + 15 - 0. What is the remainder when 19 is divided by b?
4
Suppose -9*w = -151 - 65. Calculate the remainder when w is divided by 12.
0
Suppose 7*p - 155 = 2*p. Let y = 32 + -19. Let b = y - 2. Calculate the remainder when p is divided by b.
9
Suppose 4*c = 4 + 16. Suppose -p = -4*p + 4*f + 34, 0 = c*p + 3*f - 76. Calculate the remainder when 53 is divided by p.
11
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