 the remainder when z is divided by 17.
13
Let j(g) = -2*g**2 - 100*g + 469. Calculate the remainder when (3 - 31)*(-14)/4 is divided by j(-54).
24
Suppose -8*c - 900 + 3548 = 0. Calculate the remainder when c is divided by 59.
36
Let v(n) = n**3 + 23*n**2 + 39*n - 52. Let l be v(-21). Suppose -140 = -9*s - l*s. Calculate the remainder when 180 is divided by s.
5
Suppose -100*k + 362027 = 73727. What is the remainder when k is divided by 85?
78
Let w = 24 - 17. Let l = -102 + 104. Suppose 4*u + 88 = 4*k + 8*u, 89 = 5*k - l*u. What is the remainder when k is divided by w?
5
Suppose -4*t - 31 = c, 0 = -5*t + c - 41 - 9. Let i = 186 - 189. Calculate the remainder when 118 is divided by (-1 - i/t)/((-2)/45).
28
Let u be (-1 + (-26)/(-14))*(-2 - -9). Suppose -u*m - 168 + 846 = 0. Let z = -86 + m. Calculate the remainder when 80 is divided by z.
26
Let f = 87 - 61. Suppose 120*v - 117*v - 217 = 2*q, v - q = 73. Calculate the remainder when v is divided by f.
19
Suppose 0 = 9*r - 0*r - 81. Let n be (-2)/9 - (-38)/r. Suppose -104 = -12*d + n*d. What is the remainder when 38 is divided by d?
12
Let i(c) = 15*c + 13*c + 10 + 19*c - 2*c. Let g be i(-3). Let o = -46 - g. Calculate the remainder when o is divided by 27.
25
Let t(s) = -473*s + 25. Suppose 3*g + 39 = -3*o, o - 3*g - 1 = -2. Calculate the remainder when t(0) is divided by 2/(-3)*105/o.
4
Suppose 264 + 172 = 2*l - h, l - 196 = -5*h. Suppose l*p - 211*p - 615 = 0. Calculate the remainder when p is divided by 21.
18
Let b be 2/(-5) + (-64)/(-10). Let x(y) = -19*y**3 - y**2 - 2*y - 6. Let u be x(-2). What is the remainder when 93 is divided by u/b + (-1)/3?
21
Let k = 167 + -108. Calculate the remainder when k is divided by (-86)/(-7) - (-6)/(-21).
11
Suppose 4*m - 1985 - 451 = -8*m. What is the remainder when 557 is divided by m?
151
Suppose -6*s + 8644 - 7900 = 0. What is the remainder when s is divided by 35?
19
Suppose 9*f - 10*f = -30. Suppose t - 12 - f = -2*q, -2*q = 5*t - 42. Calculate the remainder when (-1 - -3) + 80*1 is divided by q.
19
Let i = -520 + 895. Suppose 1 - 6 = -m, 5*k - i = -m. What is the remainder when k is divided by 38?
36
Suppose -4*y + 8 = 0, 0 = 4*l - 4*y - 8. Suppose -3*s + 11 = -4*n + 2*n, 4*s - 2*n - 14 = 0. Calculate the remainder when l is divided by s.
1
Suppose 5*a - 3 - 19 = 2*o, -4*a = 3*o + 79. What is the remainder when 43 is divided by (-495)/o + 6/14?
19
Let s = 5720 - 5718. Suppose 0*v - 5*v - 5*d = 0, -3*v - d + 6 = 0. Suppose v*g - s = 73. What is the remainder when g is divided by 13?
12
Let a = -8458 + 8701. What is the remainder when a is divided by 81?
0
Let h be -1 - -4 - 9/((-27)/(-402)). Let o = h - -176. Calculate the remainder when 123 is divided by o.
33
Let p(b) = 84*b**2 + 203*b - 201. What is the remainder when 4555 is divided by p(1)?
83
Let p(u) = -2*u**3 + 7*u**2 + 3*u - 4. Let x be p(4). Let h(j) = j**3 + 11*j**2 + 5*j + 1. What is the remainder when h(x) is divided by 14?
13
What is the remainder when ((-32)/(-20))/((-4)/(-300)) is divided by 5?
0
Suppose 22*x - 26*x + 223 = -5*r, 2*r + 6 = 0. What is the remainder when x is divided by 13?
0
Suppose 5*f + 3 - 23 = 0. Suppose f*m + 0*m - 3*h - 418 = 0, -h - 311 = -3*m. Let b = m - 49. What is the remainder when b is divided by 15?
9
Suppose -21*v - 11655 = -5*v - 13959. Calculate the remainder when v is divided by 72.
0
Let q = -7304 - -7505. Calculate the remainder when 783 is divided by q.
180
Let v(y) = y**2 - 30*y - 161. Let m be v(44). Suppose -4*o - m = -5*l + 167, 595 = 5*l + 5*o. What is the remainder when l is divided by 35?
17
Let y(z) be the first derivative of 19*z**3/3 - z**2/2 - 11*z + 11. Suppose -2*u + 12 = -16. Calculate the remainder when y(-2) is divided by u.
11
Suppose 82*g - 1320844 = -135*g + 752591. What is the remainder when g is divided by 162?
159
Suppose -16*w + 23606 - 3286 = 0. Suppose w = -19*i + 6913. Calculate the remainder when i is divided by 19.
12
Let v = 220695 + -220656. Let x(g) = -20*g - 6. Suppose -2*n - 8 = -0*n - 5*t, -2*t - 4 = n. Calculate the remainder when x(n) is divided by v.
35
Let c = 279 - -1350. Suppose 3*i = -6*i + c. What is the remainder when i is divided by 61?
59
Suppose -i = -4*f + 4, -f = 5 - 3. Suppose 27*a - 249 - 29 = 208. Let m = a - i. Calculate the remainder when m is divided by 12.
6
Let w be (1*-191)/(18/36). Let r = -375 - w. Calculate the remainder when 58 is divided by r.
2
Let c(v) = -v**2 + 12*v - 8. Let i = 40 + -30. Suppose -5*s + 34 = -4*s. What is the remainder when s is divided by c(i)?
10
Let j(k) = k**2 - 36*k + 16. Calculate the remainder when 1059 is divided by j(37).
52
Let r be (-9)/3 - (-5)/1. Suppose r*y + 96 = 5*y. Let l = 46 - y. What is the remainder when l is divided by 5?
4
Let i(r) = r**3 + 14*r**2 + 19*r + 85. Let n = 7 + 14. What is the remainder when i(-12) is divided by n?
19
Let l = -25540 + 26460. Calculate the remainder when l is divided by 291.
47
Suppose -56 = -0*k - 2*k. Let g = -237 + 262. Let i = 35 - g. What is the remainder when k is divided by i?
8
Let l be ((-3)/(15/(-4)))/(52/39520). Let c = -365 + l. Calculate the remainder when c is divided by 31.
26
Suppose b - 4*i - 201 = 0, 493 = 3*b + 5*i - 161. Suppose -b - 427 = -16*y. Calculate the remainder when y is divided by 14.
12
Calculate the remainder when 442 is divided by (1/(-2))/(-8 + 5195/650).
52
What is the remainder when 7644 is divided by ((-25)/7)/(1675/(-7035))?
9
Let a(p) = p**3 - 2*p**2 - 8*p - 12. Let x be a(0). Let g = 46 + x. What is the remainder when 53 is divided by g?
19
Suppose 31 = -2*n + 39. Suppose 2*b - 187 = -4*f + 331, -5*f - n*b = -643. What is the remainder when f is divided by 23?
16
Let o = 478 + -262. Let q = 432 - 395. What is the remainder when o is divided by q?
31
Let n(k) = k**2 - 9*k - 8. What is the remainder when 230 is divided by n(10)?
0
Let z be (-12 + 2*693)/(3/2). Let f = 956 - z. What is the remainder when f is divided by 14 + 1/(-1)*2?
4
Let b(w) = -2*w + 2. Let r(a) = 3*a + 3. Let s(v) = v. Let c(y) = -r(y) + 6*s(y). Let k(n) = -5*b(n) - 3*c(n). What is the remainder when k(8) is divided by 2?
1
Let j(i) = 9*i + 55. Let z = 87 + -92. What is the remainder when 69 is divided by j(z)?
9
Let a(l) = -l**3 + 8*l**2 - 8*l + 1. Let o be (2 - -3) + (-16 - -14). Suppose -k + n - o = -13, -k + 5*n = -22. What is the remainder when a(6) is divided by k?
4
Suppose -5*i - 929 = -4*f, 0*i + 5*i + 965 = -5*f. Let v = i + 268. Let w = -58 + 81. What is the remainder when v is divided by w?
10
Let n be (-189)/(-56) + 52/32 + -2. Suppose -4*k = n*a - 28, -2*a - 2*k = 2*a - 44. Calculate the remainder when 28 is divided by a.
4
Calculate the remainder when 396 is divided by (3 - 535/(-30)) + (-15)/18.
16
What is the remainder when (152 - 0) + -81 + 68 is divided by 112?
27
Let g = 3218 + -3160. Calculate the remainder when 819 is divided by g.
7
Suppose q - 2*q - 2*q = 0. Let h = q + 4. Suppose 0 = h*p + p - 20, 4*f + p - 220 = 0. Calculate the remainder when f is divided by 7.
5
Let i = -118 + 198. Let p(v) = -53*v - 2760. What is the remainder when p(-55) is divided by i?
75
Suppose -1065 = -5*j + x, -31*x + 1075 = 5*j - 30*x. Calculate the remainder when j is divided by 9.
7
Let s = -91 + 235. Suppose -5*w + s = -16. Let b(y) = -4*y**3 - y**2 + 6*y + 60. What is the remainder when b(0) is divided by w?
28
Let o(r) = r**3 - 6*r**2 + r - 3*r + 3*r + 7. Let g = -603 + 653. Calculate the remainder when g is divided by o(6).
11
Suppose -4*c + 2*d = -28, 0 = 4*c - 6*c - 5*d + 2. What is the remainder when 68 is divided by 6 + 30*(-5 + c)?
32
Calculate the remainder when -3031*6/(-54) + 6/162*6 is divided by 100.
37
Let m(s) = 2*s**2 + 55*s + 49. Suppose 276 - 164 = -4*r. Calculate the remainder when m(r) is divided by 12.
5
Suppose -h + 30 = -2*s, -h + 5 = -4*s - 21. What is the remainder when 2408 is divided by h?
28
Suppose -10*o + 120 = -9*o - t, 8 = -4*t. Calculate the remainder when 259 is divided by o.
23
What is the remainder when 14/385*-11*2/((-8)/2930) is divided by 8?
5
Let c(j) = 4*j - 7. Let m be c(4). Suppose -76 = m*l - 11*l. Suppose -2*a + l = 5*z - 8, -a = z - 8. What is the remainder when 56 is divided by z?
6
Let s be -1*(-2)/(6 - 5592/933). Let w = 433 - s. What is the remain