the remainder when 46 is divided by d.
10
Let y(r) = -5*r**2 - 12*r + 16. Let d(u) = 9*u**2 + 24*u - 31. Let n(c) = 3*d(c) + 5*y(c). What is the remainder when n(-10) is divided by 23?
21
Suppose -3*n + n + 46 = -4*k, 5*k + n = -40. Let m = k + 27. Calculate the remainder when 52 is divided by m.
16
Suppose m = 5*x - 560, -241 = -2*x + 2*m - 5*m. What is the remainder when x is divided by 19?
18
Let n(o) = -o**3 + 10*o**2 + 26*o - 2. Suppose -3*z + 79 = -47. Calculate the remainder when z is divided by n(12).
20
Let l(u) = -3*u**2 + 3*u + 3. Let t be l(-2). Let n = t + 36. Calculate the remainder when n is divided by 11.
10
What is the remainder when 12 is divided by 3/(-9) - (-88)/12?
5
Let n(c) = 7 + 2*c - 8 + 2. What is the remainder when 29 is divided by n(7)?
14
Let h be -23*1*(0 - 1). Suppose 0*u - h = -u. What is the remainder when u is divided by 8?
7
Suppose 135 = -9*u + 4*u. What is the remainder when 8/(-3)*u/4 is divided by 7?
4
Let y be 4/14 - 443/7. Calculate the remainder when (6/(-9))/1*y is divided by 11.
9
Suppose 76 = 5*q - 2*p, 2*p + 6 = q - 3*p. Let s be ((-1)/(-2))/(3/(-18)). Calculate the remainder when (-1)/s - 368/(-12) is divided by q.
15
Suppose 0 = 9*l + 13*l - 2574. Calculate the remainder when l is divided by 30.
27
Let q = -1 - -9. Let z(k) = k + 9. Let t be z(-4). Suppose -t = -s - 2. Calculate the remainder when q is divided by s.
2
Let r(y) = 2*y**2 + 2*y. Calculate the remainder when 94 is divided by r(-4).
22
Suppose 0*s = 3*s. Suppose 2*r = -s*r + 82. What is the remainder when r is divided by 14?
13
Let x = 20 + -18. Suppose -4*q + 11 = 8*c - 3*c, -4*q + x*c + 18 = 0. Calculate the remainder when q is divided by 2.
0
Suppose 0 = 2*j - 4*b - 32, 0*j = -4*j - 4*b + 100. Calculate the remainder when 86 is divided by j.
20
Let o(n) = -3*n - 2. Suppose 4*i = 5*t - 1, 0*i - 4*t - 24 = 3*i. What is the remainder when o(i) is divided by 4?
2
Suppose -d - t = -18 - 3, d + 5*t = 33. What is the remainder when 71 is divided by d?
17
Let c = 30 - 18. Suppose -5*f + 109 - 19 = 0. Let w = f + 4. What is the remainder when w is divided by c?
10
Let v(c) = -c**2 - c + 14. Let u be (-13)/(-26) - (-1)/(-2). What is the remainder when 25 is divided by v(u)?
11
Let c(v) = -v**2 + 7*v - 2. Let u be c(6). Suppose 0 = -u*i - 12, -2*i + 9 = -4*g - 17. Let h = 16 + g. What is the remainder when 23 is divided by h?
7
What is the remainder when 9/(3 + 3 + -5) is divided by 4?
1
Let j = 26 - -13. Calculate the remainder when j is divided by 10.
9
Let t = -99 + 253. What is the remainder when t is divided by 39?
37
Suppose 3*z = 7*z - 28. What is the remainder when 26 is divided by z?
5
What is the remainder when 15 is divided by (-70)/(-15)*12/14?
3
What is the remainder when 2/(-3 + (-201)/(-66)) is divided by 12?
8
Suppose 0 = 4*u - 20 + 8. Let z be ((-68)/u)/4*-9. Suppose 0*p + 2*p + d = z, 4*p - 108 = -4*d. What is the remainder when p is divided by 13?
11
Let z(q) = q**2 - 2*q + 1. Let x be z(1). Suppose 0*y - y + 31 = x. Suppose -40 = -5*i - 0*i. What is the remainder when y is divided by i?
7
Suppose -2 = -w + 3*q + 13, 0 = -5*q - 20. Suppose 2*o = -o - 3, -g + w*o = -5. Calculate the remainder when (4/(-6) - 0)*-3 is divided by g.
0
Let v = 5 + -10. Let y = v - -38. What is the remainder when y is divided by 12?
9
Let z = 89 + -49. Let j = -24 + 7. Let c = j - -31. What is the remainder when z is divided by c?
12
What is the remainder when (11*9 - -2) + (4 - 3) is divided by 35?
32
Suppose -1 + 9 = 4*l. Calculate the remainder when l is divided by (1/(-2))/((-1)/4).
0
Let y be 52/20 - 4/(-10). Suppose y*o + 5*u + 0*u - 62 = 0, -u + 77 = 4*o. Let g = o - 8. What is the remainder when 41 is divided by g?
8
Suppose 124*o = 119*o + 85. What is the remainder when o is divided by 10?
7
Suppose 7*t = -3*z + 2*t - 19, 3*z - 11 = t. Calculate the remainder when 7 is divided by z.
1
Let c(m) = 3*m. Let z be c(1). Suppose -18 = -3*b - u, -6*u - 2 = b - z*u. Calculate the remainder when 20 is divided by b.
6
Suppose f + 44 = 3*f. Suppose -3*p - 26 = -62. Calculate the remainder when f is divided by p.
10
Let a(r) = -r**3 + 5*r**2 + 7*r + 2. What is the remainder when 37 is divided by a(6)?
5
Let p be (-5)/((-5)/9)*1. Suppose -p = -g + 3. Suppose 0 = t - 3*t + 44. Calculate the remainder when t is divided by g.
10
Let a = -5 - -19. Let t = 25 + 14. What is the remainder when t is divided by a?
11
Let n(x) = -9*x - 4. Let q be n(-3). Suppose z = -5*j - 18, j = -4*z - 0*j + q. Calculate the remainder when z is divided by 4.
3
Let r be -12*((-1)/2 + 1). Let n = 2 - r. Suppose 40 = 3*k + f - 0*f, -4*f = -2*k + 36. What is the remainder when k is divided by n?
6
Suppose 8 = s - 0. Suppose -43 = -3*u + s. Let c(d) = 7*d**2 + 2*d + 1. What is the remainder when c(2) is divided by u?
16
Suppose 5*m + 18 = -2*y + 72, 0 = -5*y - 3*m + 173. What is the remainder when 183 is divided by y?
35
Suppose -3*r = -412 - 182. What is the remainder when r is divided by 25?
23
Let r(t) = t**2 + 6*t + 1. Let h be r(-7). Suppose 0 = 3*m - 5*m - h. What is the remainder when 8 is divided by ((-2)/4)/(m/24)?
2
Suppose 0 = 2*k - d - 3*d - 92, 3*d - 173 = -4*k. Calculate the remainder when 174 is divided by k.
42
Let g(j) = j**2 - 16*j + 17. Suppose 4*c - 249 = -c + 4*f, 4*c - 195 = -f. What is the remainder when c is divided by g(16)?
15
Let c = 134 + -56. Calculate the remainder when c is divided by 20.
18
Let w = -15 - -28. What is the remainder when 48 is divided by w?
9
Suppose 5*c - 2*c - 27 = 0. Suppose -391 = -23*u + 575. What is the remainder when u is divided by c?
6
Let s be ((-3)/6)/((-1)/18). Let m(o) = -o**3 + 9*o**2 - o + 11. What is the remainder when 4 is divided by m(s)?
0
Calculate the remainder when 4*(-1)/((-20)/315) is divided by 22.
19
Suppose -d - 5*p + 37 = 0, -d + 3*p + p = -37. What is the remainder when d is divided by 10?
7
Let o = -7 + 11. What is the remainder when 31 is divided by 14 + 0 + o/2?
15
Let r = 12 + -8. Suppose 0 = 2*h + 3*c + c - 24, 3*h + r*c - 30 = 0. What is the remainder when (-2)/9 - (-202)/18 is divided by h?
5
Let g(x) = x**2 + 7*x**2 + 2*x**2. Calculate the remainder when 38 is divided by g(1).
8
Let d(i) be the third derivative of -11*i**4/24 - 5*i**3/3 - 5*i**2. What is the remainder when d(-4) is divided by (8 - 2)/((-2)/(-4))?
10
Let k be (-10)/35 - 46/(-14). Calculate the remainder when (k + -2)/(4/68) is divided by 6.
5
Let h be 460/8*(-8)/(-10). Suppose y = -2*y - 9, 4*l - 2*y = h. Calculate the remainder when l is divided by 4.
2
Suppose 0 = 5*j - x + 5*x - 52, -30 = -3*j - 3*x. Calculate the remainder when 57 is divided by j.
9
Let c be 1/(-2)*(5 - 13). Let d = c - -1. Calculate the remainder when 8 is divided by d.
3
Suppose -278 = -5*m - 2*a, 0*a + 164 = 3*m + 4*a. Suppose -8*b + 87 = -5*b. Calculate the remainder when m is divided by b.
27
Let b(a) = -a + 4. Let s be b(7). Let t(y) = -y**3 - 2*y**2 + 1. What is the remainder when 37 is divided by t(s)?
7
Let c(h) = -h - 8. Let n be c(-4). What is the remainder when (-1 + -1)*58/n is divided by 16?
13
Suppose -34 + 10 = -g. What is the remainder when g is divided by 9?
6
Let b be 10/(-55) - 1260/(-33). Suppose v = -v + b. What is the remainder when 74 is divided by v?
17
Suppose -2*a - a - 135 = x, -x = -3*a - 141. Let c = a - -69. Calculate the remainder when 89 is divided by c.
20
Suppose -3*u + 10 = -2. Let g(f) = 5*f - 6. What is the remainder when (-4)/10 + (-414)/(-10) is divided by g(u)?
13
What is the remainder when 1*296*(-8)/(-16) is divided by 30?
28
Let n(d) = 4*d - 28. Suppose -69 = -2*f - f. What is the remainder when f is divided by n(9)?
7
Let y(n) be the first derivative of -3*n**2/2 - 2. What is the remainder when y(-3) is divided by 6?
3
Suppose -4*b + 10 + 8 = -5*j, 4 = -3*j - b. Suppose 5 = u, -2*c + 4*c - 52 = -4*u. What is the remainder when c is divided by 2*1/(j/(-9))?
7
Let q(b) = 6*b - 3. What is the remainder when 28 is divided by q(3)?
13
Suppose 0 = -q - 0*q - 3*o + 10, 2*o - 7 = -q. Let p(k) be the first derivative of 19*k**3/3 + k**2/2 - k + 4. What is the remainder when p(q) is divided by 10?
9
Let i = -51 - -84. Suppose -14*q - 2*m = -10*q - 382, 5*q + 5*m = 475. What is the remainder when q is divided by i?
30
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