4. Let z be m(4). Let l = 117 + -64. What is the remainder when l is divided by a(z)?
9
Let w = -738 - -887. What is the remainder when w is divided by 35?
9
Let k(r) = r**3 + 10*r**2 + 11*r + 21. Let t be k(-9). Suppose -t*p = -188 - 199. What is the remainder when p is divided by 10?
9
Let r(c) = c**2 + 3*c. Suppose 4*g + 75 = -g. Let z(b) = b**3 + 14*b**2 - 16*b - 12. Let q be z(g). What is the remainder when 51 is divided by r(q)?
15
Let w = -263 + 272. Suppose 2*u + 2 = 6*g - 3*g, -3*u - 5*g - 3 = 0. Calculate the remainder when ((-17)/(-1))/(u/(-3)) is divided by w.
6
Suppose -2*z - 12 = -36. Let j(r) = r**3 + 3*r**2 - 4*r - 2. Let l be j(-4). What is the remainder when l/z + 412/24 is divided by 6?
5
Suppose -2*y + 3*a = -40, 4*a + 16 + 44 = 3*y. Suppose y = b - 0*b. What is the remainder when 79 is divided by b?
19
Let y = -2 + 5. Let w = 2436 + -2435. What is the remainder when y is divided by w?
0
Suppose -4*f + 5*i + 136 = 0, 3*f - 2*i - 102 = i. Suppose x + x = m + 11, -3*m + 2*x = 53. Let r = m + f. What is the remainder when 50 is divided by r?
11
Calculate the remainder when 640/12 - 3 - 4/12 is divided by 17.
16
Calculate the remainder when 101 is divided by 52/234*-1*3*-39.
23
Suppose 55*w - 49*w = 120. What is the remainder when 56 is divided by w?
16
Let o be 12/(-18) + (-512)/(-12). Suppose 24 = 3*c + p, -4*c - p + 3*p + o = 0. What is the remainder when c is divided by 4?
1
Let n(l) = -l**2 + 53*l + 512. What is the remainder when 2 - -66 - 2/(-2) is divided by n(61)?
21
Let j(f) = f**3 + 2*f**2 - 3*f + 2. Let a be j(1). Suppose 3*c + 5*w - 87 - 31 = 0, -a*w = 2*c - 76. What is the remainder when c is divided by 19?
17
Let v = 248 - 152. Calculate the remainder when v is divided by 9.
6
Let i(f) = f**3 - 8*f**2 + 10*f + 8. Calculate the remainder when 106 is divided by i(7).
19
Let x = -1359 + 1440. Calculate the remainder when 331 is divided by x.
7
Let y be (174/(-9))/((-8)/12). Suppose -311 - y = -s. Calculate the remainder when 2/4 - s/(-8) is divided by 15.
13
Let b(w) = -2*w - 5. Let s be b(-1). Calculate the remainder when 58 is divided by 4/(-6) - 38/s.
10
Let v = 24 + -153. Let k = v + 149. Calculate the remainder when 75 is divided by k.
15
Let l = -7 - -14. Let o = l + -4. Suppose -41 = p + o*b - 129, 0 = 3*p + 5*b - 272. Calculate the remainder when p is divided by 32.
30
Let y(z) = 2*z**2 - 2*z + 1. Suppose 4*d + 8 = -4*g, 4*g = -g + d + 8. Let i be y(g). Calculate the remainder when 2 + (-4 + 36)*i is divided by 12.
10
Let y = 60 + -52. Suppose 0 = 2*a - 3*b + 2*b - y, -b + 16 = 2*a. What is the remainder when 17 is divided by a?
5
Suppose -4*n + 3*h = -466, 2*n - 6*n - 4*h + 480 = 0. Calculate the remainder when n is divided by 99.
19
Suppose 2*n = 5*h - 6*h + 8, -13 = h - 5*n. Calculate the remainder when (12/4 - 3) + 5 is divided by h.
1
Suppose -10*v - 2280 = -34*v. What is the remainder when v is divided by 40?
15
Let s = 83 - 69. What is the remainder when 1 - (25/(-4))/((-6)/(-48)) is divided by s?
9
Let l(c) = 3*c**3 - c**2. Suppose 6*a = 4*o + a - 36, 5*a + 20 = 0. Suppose 11*f - 29 = o. What is the remainder when f is divided by l(1)?
1
Let h = 184 + -20. What is the remainder when h is divided by 12?
8
Suppose 0 = -0*b - 7*b + 77. Calculate the remainder when 659 is divided by b.
10
Suppose 13*p = 4*p + 1512. Suppose -2*f - p = -6*f. Calculate the remainder when 164 is divided by f.
38
Let a be 4/18 - 2046/(-27). Suppose 5*s + 16 - a = 0. Suppose 15 - s = o. What is the remainder when 5 is divided by o?
2
What is the remainder when 33/132*(243 + 1) is divided by 11?
6
Suppose -3 = 4*i - 2*w - 81, 75 = 4*i - 3*w. Suppose i*z = 18*z + 48. Suppose -6 = 5*f - 236. Calculate the remainder when f is divided by z.
14
Let z(o) = -o**3 - 10*o**2 + 11*o + 4. Let c be z(-11). Suppose -x = -c*n + 64, -n + 1 = x - 15. Calculate the remainder when n is divided by 10.
6
Let n be (-1)/((-4 + 3)/2). Suppose 5*t = 13 + n. Suppose -27 = -2*j - t. What is the remainder when j is divided by 5?
2
Let m(p) be the second derivative of p**3/6 + 13*p**2/2 + 2*p. What is the remainder when 46 is divided by m(-6)?
4
Let s be 4/(-14) + 19/(-7). Let f(h) = h + 7. Let x be f(s). Calculate the remainder when (x + -6)/(2/(-25)) is divided by 14.
11
Let w(f) = -3*f**2 - 19*f + 20. Calculate the remainder when w(-4) is divided by 29.
19
Let c(d) = d - 15. Let s be c(20). Let j(x) = x**2 - 4*x + 6. Suppose -14 + 3 = -p + 2*k, 4*k - 54 = -2*p. What is the remainder when p is divided by j(s)?
8
Suppose 5*k + 55 = 5*z - 30, 8 = 2*z. Let r = k + 13. Suppose -3*i + 222 = -3*q, 2*i - 5*q = -r*i + 133. What is the remainder when i is divided by 27?
25
Let v(m) = m**3 - 8*m**2 + m - 4. Let w be v(8). Suppose w*o = 5*x + o - 104, -30 = -x - 4*o. What is the remainder when 86 is divided by x?
20
Let x = -35 - -35. Suppose -100 = -4*i - 3*v + 31, x = -2*i + v + 63. What is the remainder when 94 is divided by i?
30
Let k = -50 - -87. Let t(c) = -2*c - 10. Calculate the remainder when k is divided by t(-15).
17
Let c(g) = -g**2 + 9*g + 13. What is the remainder when 18 is divided by c(10)?
0
Suppose -3*x = -4*x - 5*d - 17, -5*d - 8 = 4*x. Suppose y + x*y = 0. Suppose 3*i - 24 + 6 = y. Calculate the remainder when 17 is divided by i.
5
Let y = 91 - 55. Suppose p = -2*s + y, -s - 54 = -4*s + 5*p. Suppose 0 = 4*d + l - 2*l - 33, d + 3*l - s = 0. Calculate the remainder when 23 is divided by d.
5
Let t(n) = -17*n**2 - 77*n + 7. Calculate the remainder when 687 is divided by t(-4).
42
Let q = -7 - -7. Let i(p) = -p + 6. Let y be i(q). Suppose -5*t + 4 = -y. Calculate the remainder when 5 is divided by t.
1
Let b = 761 - 750. What is the remainder when 899 is divided by b?
8
Suppose -58 = 3*z - 91. Calculate the remainder when (-6)/((-21)/18 - -1) is divided by z.
3
Let x = -24 - -22. Calculate the remainder when 32/40*(-15)/x is divided by 2.
0
Suppose 92 = -16*u + 39*u. Calculate the remainder when 34 is divided by u.
2
Suppose -16 = -12*k + 8*k. Suppose -2*o + k = -12. Calculate the remainder when o is divided by 2.
0
Let f be (480/45)/((-1)/(-6)). Suppose -4*s + 0*s + f = 0. Let j = s + 0. Calculate the remainder when 44 is divided by j.
12
Suppose -3*l + 19 = 2*o, -5*l + 27 = o - 0*o. What is the remainder when 33 is divided by 0 + -2 + (0 + o - -7)?
5
Let k(h) = 40*h - 95. Calculate the remainder when k(6) is divided by (24 - (3 - 2)) + -2.
19
Let g = 109 + -56. Suppose 13 = -10*u + g. What is the remainder when u is divided by 2?
0
Suppose 12*p + 57 - 201 = 0. Let t(j) = j**3 + j + 22. What is the remainder when t(0) is divided by p?
10
Let j(y) = -y**2 + 17*y + 7. Let q be j(17). Suppose q*v - 70 = 280. Calculate the remainder when 146 is divided by v.
46
Suppose 9*t - 51 = 30. Calculate the remainder when 287 is divided by t.
8
Let v(k) be the second derivative of -k**5/20 - k**4/4 + k**3/2 + 27*k**2/2 - 44*k. Calculate the remainder when 107 is divided by v(0).
26
Suppose 2*m = t + 41, 4*m - 77 = -0*t - 3*t. Let z be 0/((-8)/2) + 2. Calculate the remainder when m is divided by z - ((-2 - 6) + -1).
9
What is the remainder when 88 is divided by ((-162)/36 + -11)/(2/(-4))?
26
Let z = 90 + -40. What is the remainder when z is divided by -3*(-3)/9*17?
16
Let k(r) = -7*r. Let g be k(-2). Suppose 0 = -6*b + g + 10. Suppose -3*c = -5*j + 519, -3*c = b*j + c - 428. What is the remainder when j is divided by 27?
24
Let y be 6/(0 - 12/(-8)). Suppose 7 + 51 = 2*i - 5*z, 0 = -4*i + y*z + 140. Calculate the remainder when 154 is divided by i.
37
Let x = 78 - 80. What is the remainder when 4/18 - 187/(-9) is divided by -4 - -20 - (-10)/x?
10
Let i = -5 - -8. Let q(d) = d**2 - 48*d + 598. Calculate the remainder when q(28) is divided by ((-13)/(-4))/(i/12).
12
Let b(q) = -q**3 - 2*q - 3. Let k be b(0). Calculate the remainder when 13 is divided by (-2)/(k*(-4)/(-48)).
5
Let c = -23 - -27. Suppose 0 = -c*j - 4*l + 32, -6*l + l + 30 = 3*j. Calculate the remainder when 63 is divided by ((-22)/j)/(9/(-45)).
19
Suppose q - 21 = -0*q. Let s = q + -21. Suppose s*u - 3*u = -a - 83, 3*a - 11 = -u. What is the remainder when u is divided by 14?
12
Let f(x) = -5*x + 92. What is the remainder when f(-12) is divided by 42?
26
Suppose s = -4*m + 6 + 8, m - 20 = -s. C