20) - 1*-34. Suppose 0 = l - 4*x - 51, 2*l - 44 = -3*x + y. Calculate the remainder when l is divided by 9.
7
Let d = 30 - 27. Suppose r = -d*r + 48. What is the remainder when 47 is divided by r?
11
Let t = 56 + -7. Calculate the remainder when 288 is divided by t.
43
Let y(p) = 3*p + 25. Let x(q) = -q. Let d(m) = 4*x(m) + y(m). What is the remainder when 24 is divided by d(20)?
4
Suppose m + 2*a = -20, 0 = 4*m - 0*m + a + 45. Let j be (-3)/((-3)/(-4)) + 21. Let i = j + m. What is the remainder when 19 is divided by i?
5
Let h(z) = -z**3 + 2*z**2 + 3*z - 1. Let x(w) = w. Let p(y) = -h(y) + 3*x(y). Calculate the remainder when 36 is divided by p(3).
6
Let c(v) = -v**2 - 14*v + 5. Let z(d) = 22*d - 2. Let x be z(-1). What is the remainder when c(-6) is divided by x*(-4)/32*6?
17
Let l(q) = -34*q - 4. What is the remainder when l(-5) is divided by 56?
54
Let c(y) = y**2 + 5*y + 4. Let z be c(4). Suppose z = 4*m - 2*m. Calculate the remainder when 37 is divided by 4/m - 98/(-10).
7
Let f(k) = -k**2 + 2*k + 5. Let b(t) = -t**2 + 2*t + 5. Let j(n) = 6*b(n) - 7*f(n). Let u = -374 - -392. What is the remainder when u is divided by j(5)?
8
Let a(i) = 15*i**2 + 2*i - 1. Let w be 1 + -1 + 2 + -1. Suppose -5*f - 1 = -31. Calculate the remainder when a(w) is divided by f.
4
Let f(w) = -w**3 - 11*w**2 + 4*w + 16. Let u be f(-11). Let v = u + 39. What is the remainder when 40 is divided by v?
7
Suppose 0 = 3*c - c. Let k(p) = -p**3 - p + 2. What is the remainder when 3 + 0 + 6 + -2 is divided by k(c)?
1
Let c be (-4)/4 + 0 + 32. Let v = c - 20. What is the remainder when v is divided by (3/(-4))/(1/(-4))?
2
Calculate the remainder when 186 is divided by -2*(2 + 1 - 34/4).
10
Suppose 0 = 4*f - i - 101, 3*i - 25 = -2*f + 22. What is the remainder when 80 is divided by f?
5
What is the remainder when -6 - -6 - (2 + -1 - 89) is divided by 31?
26
Suppose -487*u = -505*u + 10026. Calculate the remainder when u is divided by 184.
5
Let u(j) = 3*j - 14. Let z be ((-1)/(-3))/(9/162). Let p be u(z). Suppose 0*c = 4*c - x - 53, -p*x = 5*c - 40. Calculate the remainder when 34 is divided by c.
10
Let d(v) = 4*v + 81. Calculate the remainder when 22 is divided by d(-19).
2
Let b(t) = 2*t**3 - 6*t**2 + 3*t - 6. Suppose -8*l + 174 + 730 = 0. What is the remainder when l is divided by b(4)?
37
Let x(n) = 0 - 2*n - 1 + 0 + 5*n**2 + 11*n**2. What is the remainder when 31 is divided by x(-1)?
14
Suppose 38*p = -9*p + 893. What is the remainder when 56 is divided by p?
18
Let t(w) be the second derivative of -1/6*w**4 + 2/3*w**3 - w - 1/20*w**5 - 5/2*w**2 + 0. Calculate the remainder when 41 is divided by t(-4).
8
What is the remainder when 116 is divided by ((-119)/(-51))/(1/3)?
4
Let h be 2/(25/5 - 4). Let b(t) = -4*t + 7 + 0*t + h*t**2 + 0*t - 4. What is the remainder when b(-4) is divided by 26?
25
Suppose -2*s + 10 = 3*s. Suppose 3*v = -s*v + 45. Calculate the remainder when 3 + ((-1)/(-3))/((-6)/(-252)) is divided by v.
8
Let o(g) = -g**2 + 3*g - 1. Let q be o(1). Let k be (-10)/5*70/q. Let b = -65 - k. What is the remainder when b is divided by 26?
23
Let j = 2603 + -1385. What is the remainder when j is divided by 33?
30
Let m(s) = 16*s + 68. Calculate the remainder when m(4) is divided by 27.
24
Let j(r) = r**3 + 5*r**2 - 3*r + 3. Calculate the remainder when j(-4) is divided by -12 + 22 + 6 + 1.
14
Suppose -t + 4*t - 5*w = 73, 5*t - 107 = w. Let x = t + 0. Let f = -9 + 17. Calculate the remainder when x is divided by f.
5
Let g(y) = 6*y**2 + 2*y + 3. Let c be 2/(-4)*((-3)/3 - 5). Suppose -c*l + 44 = l - 5*m, 3*m + 12 = 0. Calculate the remainder when g(-2) is divided by l.
5
Suppose -11*n = -358 - 412. What is the remainder when 276 is divided by n?
66
Let o(j) = -j**3 + 8*j**2 + 2*j + 1. Let n = 14 - 6. Calculate the remainder when o(n) is divided by 7.
3
Let w(o) = -3*o**2 - o + 11. Let f(g) = 5*g**2 + 2*g - 21. Let m(k) = -4*f(k) - 7*w(k). Let c = -37 - -61. Calculate the remainder when c is divided by m(3).
11
Suppose -11 = -4*i + 5*q + 53, -3*i + 4*q + 48 = 0. What is the remainder when i is divided by 11?
5
Let u(x) = -x**3 + 8*x**2 - 7*x - 1. Calculate the remainder when 99 is divided by u(6).
12
Let o = -18 - -31. What is the remainder when 87 is divided by o?
9
Let k = 11 - 2. Suppose l + i = 0, 2*l + 5*i = -2*l - 3. Suppose 3*h - 71 = 4*g, -2*h + l*h - 2*g - 23 = 0. Calculate the remainder when h is divided by k.
7
Let k = 34 - 42. What is the remainder when ((36/k)/(-3))/(2/12) is divided by 7?
2
Let z(c) = c**3 + c**2 + 2*c - 2. Let j be z(1). Suppose -j + 11 = m. Calculate the remainder when 33 is divided by m.
6
Let y(d) = 6*d - 3. Let f be y(6). Suppose 118 = 4*u + 5*o + 31, 5*o = -u + f. What is the remainder when 49 is divided by u?
13
Suppose -21 - 34 = -m. Let w = m - 34. What is the remainder when 40 is divided by w?
19
Suppose -8*a = -63 + 15. What is the remainder when 21 is divided by a?
3
Suppose 423 = -101*q + 110*q. Calculate the remainder when 124 is divided by q.
30
Suppose 25 + 22 = z. What is the remainder when 563 is divided by z?
46
Let y(x) = -3*x + 4. Let w be 20/(-15) + (-19)/(-3). Let b be y(w). What is the remainder when 18 is divided by b/(-11) + 5/1?
0
Let y be (-2)/(-15) - 56/(-30). Suppose -h + 5*b = y*b - 36, -3*b = 4*h - 204. What is the remainder when h is divided by 10?
8
Let s(u) = 5*u + 39. Calculate the remainder when s(2) is divided by 18.
13
Let u(k) = -6*k**3 + 18*k**2 - k + 21. Suppose z + 5*a - 27 - 14 = 0, 163 = 3*z - 5*a. What is the remainder when z is divided by u(3)?
15
Let v(w) = -2*w**3 + w**2 + 7*w + 5. Let h be v(-2). Let q = h + -3. Calculate the remainder when 25 is divided by q.
1
Let l be -1 - (-1 - 1 - -1). Suppose 3*r = 3*m + 7*r - 51, l = -3*m - 2*r + 51. What is the remainder when 65 is divided by m?
14
Suppose -b - 46 = -2*b. What is the remainder when b is divided by (-3 - (-57)/15)/(11/110)?
6
Let p = 6 + -3. Suppose 4*i = -5*o + 147 + 46, -5*o + 191 = p*i. What is the remainder when o is divided by 10?
7
Suppose 17*t - 518 = 3*t. Calculate the remainder when 406 is divided by t.
36
Let g be (-2)/5*(-3 + -2). Suppose -5*i - 85 = -4*f - 10*i, 0 = -g*i + 2. What is the remainder when f is divided by 11?
9
Suppose -117 = -s + 4*p - 5, 284 = 2*s + 4*p. Suppose 2*v - s = 2*n, -2*v - 2*n + 252 = 100. Calculate the remainder when v is divided by 12.
11
Let z = -100 - -60. Let p(u) = -2*u + 64. Let j be p(23). Calculate the remainder when 22 is divided by (j/2)/((-30)/z).
10
Suppose -4*r + 2*a + 50 + 8 = 0, 0 = 4*r - a - 55. Let o be -116 - (0 + -1 - 0). Calculate the remainder when (-1)/3 + o/(-3) is divided by r.
12
Let c = 100 + -98. Suppose -4*b = 5*m - 279 - 411, c*b - 546 = -4*m. Calculate the remainder when m is divided by 17.
15
Suppose -3*v = -3*a - 1 + 22, 2*a + v = 5. Suppose -2*j + 3*h = -42, 74 = 2*j + a*h + 4. What is the remainder when 50 is divided by j?
23
Calculate the remainder when (-4)/42 + 114184/1176 is divided by 46.
5
Let o(k) = k**2 - 6*k + 5. Let h be o(4). Let g(f) = -f**3 - 2*f + 4. Calculate the remainder when g(h) is divided by 10.
7
Let f be 48/9 + (-2)/(-3). Suppose -f - 3 = -h. What is the remainder when -1 - -38 - (-32)/(-1 + -7) is divided by h?
6
Let r be (6/((-30)/(-55)))/(-1). Let f(j) = j**2 + 8*j - 11. Calculate the remainder when 57 is divided by f(r).
13
Calculate the remainder when 557 is divided by (-15)/(-3)*(-14)/35 + 42.
37
Let z(w) = -26*w - 4. What is the remainder when 438 is divided by z(-1)?
20
Let h = 514 - 490. What is the remainder when h is divided by 17?
7
Let n(f) = 42*f**3 + 2*f**2 - 2*f + 1. Let l be n(1). Suppose 17 + l = 5*s. Let y = 81 + -47. What is the remainder when y is divided by s?
10
Suppose -2*p - 3*o = 2*p - 324, -4*p = o - 332. Let i = 26 + -15. Suppose -b + 33 = i. Calculate the remainder when p is divided by b.
18
Let m = 97 + -30. Suppose -m = -6*i + 113. What is the remainder when 89 is divided by i?
29
Let i = -22 - -58. Let m = i + -29. Calculate the remainder when 0 - 4 - (-22 + 0) is divided by m.
4
Let s(k) = -4*k + 1. Suppose -19*m + 24*m + 5*i = 105, 0 = 5*m - 7*i - 69. Calculate the remainder when m is divided by s(-1).
3
Suppose 0 = -2*s - 5*u + 392, 2*s - 422 = 2*u - 58. What is the remainder when s is divided b