 -5*i - 3*c, -5*i + 5*c + 110 = -40. What is the remainder when i is divided by y?
8
Suppose -11*j - 317 = -31. Let w = j + 34. Calculate the remainder when 13 is divided by w.
5
Suppose -5*a + 25 + 120 = 0. Suppose 2*o - 5*o - 4*x = -41, 2*o - a = -x. What is the remainder when 59 is divided by o?
14
Suppose 13*y - 42 = 374. What is the remainder when y is divided by 4?
0
What is the remainder when 70 is divided by 2/(-8 + (-315)/(-39))?
18
Let l be 2/4*(-436)/(-2). Let t be (-1942)/(-24) + (-2 - 4)/(-72). Suppose l = 2*r - t. What is the remainder when r is divided by 24?
23
Let i(o) = o**3 - 6*o**2 - 7*o + 4. Suppose 0*j - 52 = -2*j. Suppose n - 76 = -4*c - 3*n, 2*c - j = 4*n. Calculate the remainder when c is divided by i(7).
1
Let m(t) = t**2 - 1. Let q be m(2). Suppose q*p = -14 + 89. Calculate the remainder when 72 is divided by p.
22
Suppose -n - 2*n = 5*q - 42, 33 = 5*n - 4*q. What is the remainder when 13 is divided by 1 - (-7 + n/3)?
3
Let g be (3*2)/(15/(-10)). Let v be (3 - 7)*3/g. Suppose -8*f + v*f = -10. What is the remainder when 6 is divided by f?
0
Suppose 0 = -5*x - 8*r + 210, r - 15 = -2*r. Calculate the remainder when 111 is divided by x.
9
Let q = -5 + -4. Let v(a) = a**3 + 10*a**2 + 6*a - 5. Let s be v(q). Suppose s = r + 8. What is the remainder when 67 is divided by r?
11
Let c(o) = -2*o**3 + 2*o**2 + 37*o + 36. What is the remainder when c(-5) is divided by 19?
18
Let w = -5 + 9. Suppose -3*m - 2*h + 24 = -w*h, 5*h = 4*m - 39. Calculate the remainder when ((-30)/(-12))/(2/8) is divided by m.
4
Let y be (-8)/36 + 58/18. Suppose y*h = h + 3*t + 67, h - 32 = 3*t. What is the remainder when h is divided by 18?
17
Let w(f) = 6*f - 1. Let c(u) = -u + 4. Let g be c(0). Suppose -2*j + 20 = -4. What is the remainder when w(g) is divided by j?
11
Let a = -105 - -126. What is the remainder when 293 is divided by a?
20
Suppose 0 = 3*a - 6, -p - 1 = -a + 1. Suppose p = 2*w - w - 1. Calculate the remainder when 105 - (-3 - (w + -4)) is divided by 27.
24
Let v(n) be the first derivative of 4*n**3/3 + n**2/2 + 80*n - 36. What is the remainder when v(0) is divided by 17?
12
Suppose -10 - 4 = -2*u. Let k be 4 - 4 - -2 - -52. Suppose 0*w + x = -2*w + k, 2*w + 2*x = 56. Calculate the remainder when w is divided by u.
5
Suppose 3*i = 5*v - 457, -2*v + 69*i - 72*i + 187 = 0. Calculate the remainder when 458 is divided by v.
90
Let b(s) = -9*s**2 + 3*s - 1. Let u(t) = 10*t**2 - 3*t. Let d(c) = 2*b(c) + 3*u(c). What is the remainder when d(-2) is divided by 9?
7
Let g(i) = i**2 - i - 8. Let j be g(4). Suppose 0 = -2*u - j, -3*w - 228 = 2*w - u. Let k = w - -100. What is the remainder when k is divided by 14?
12
Suppose -4*x + l + 31 = -x, -5*x - l = -49. Let c = 56 + -27. Suppose c + 119 = 4*u. What is the remainder when u is divided by x?
7
Suppose 2*m + 105 = 4*m + 5*h, 2*h = 2. Suppose 115*a - 130*a = -195. Calculate the remainder when m is divided by a.
11
Let z = -2815 + 2830. Calculate the remainder when 1289 is divided by z.
14
Let s = -6 + 8. Suppose -s*o - 25 = -4*b + 3, -3*b = -12. Calculate the remainder when (o/2)/(-1 + 0) is divided by 3.
0
Calculate the remainder when 0/1 + 57 - 3 is divided by 28.
26
Suppose 12*b - 4*b = 416. What is the remainder when 830 is divided by b?
50
Let a(r) = 7*r**2 - 12*r - 3. Let v(z) = 6*z**2 - 11*z - 2. Let n(y) = -5*a(y) + 6*v(y). Calculate the remainder when 4 is divided by n(6).
1
Suppose -2*q + 2*w + 610 = 0, 212 + 400 = 2*q - 4*w. What is the remainder when q is divided by 94?
22
Let p be 188/32 - 2/(-16). Suppose -4*n + p + 7 = 3*a, -4*n + 4 = 0. Suppose -a*j = 4*j - 49. What is the remainder when j is divided by 3?
1
Calculate the remainder when 17/3*(-21)/(-7) is divided by 8.
1
Let p = 27 + -3. Suppose -6*u = -11*u + 190. Let a = u - p. Calculate the remainder when a is divided by 8.
6
Let q be (-6)/18 - (-64)/3. Suppose 5*n - q = 4*d, -5*d - 5*n = -n + 16. What is the remainder when -24*1*d/6 is divided by 9?
7
Let t(w) = 7*w - 39. Suppose -6*o + 40 + 8 = 0. Calculate the remainder when 63 is divided by t(o).
12
Let o be (-2)/3 - 38/6. Let u(n) be the second derivative of -n**4/12 - 5*n**3/3 + 2*n**2 - 26*n. What is the remainder when 48 is divided by u(o)?
23
Suppose 12 - 63 = -3*i. What is the remainder when 17 is divided by (-34)/i - (-1 + -10)?
8
Let z(t) = 3*t + 380. Let c be z(0). What is the remainder when 3 - c/(-12) - (-4)/12 is divided by 8?
3
Let o(t) = -t**3 - 2*t**2 - 2*t + 1. Calculate the remainder when 131 is divided by o(-4).
8
Suppose 2*n + 4582 = 5060. What is the remainder when n is divided by 40?
39
Suppose 5*h = 2*c + 110 + 185, 4*c + 295 = 5*h. Let l = h - 24. Suppose q - 8 - 1 = 0. What is the remainder when l is divided by q?
8
Calculate the remainder when 216 is divided by (5/(-10))/(-1)*110.
51
Let d = -104 + 75. Let j = d + 50. What is the remainder when 123 is divided by j?
18
Let d be (1 - -5)*(-2)/(-4). What is the remainder when (-6)/(-9) - (-313)/d is divided by 18?
15
Let q(s) = s**3 + 6*s**2 + 4*s - 3. Suppose -5*y = -3*g + 5, -4*y = 4*g - 5 - 23. Calculate the remainder when y is divided by q(-5).
0
Suppose k + 4*n + 2 = 50, 3*n = 5*k - 148. Let u(i) = -i**2 + 24*i - 15. Calculate the remainder when u(18) is divided by k.
29
Suppose m + 5*h = 2*h - 38, 3*m = -4*h - 109. What is the remainder when 56 is divided by (50/m)/((-5)/35)?
6
Let k = -2450 + 2476. Calculate the remainder when 61 is divided by k.
9
Let p(x) = -4*x**3 - 13*x**2 + 4*x + 180. Let v(z) = z**3 + 3*z**2 - z - 45. Let u(b) = -2*p(b) - 9*v(b). Calculate the remainder when u(0) is divided by 12.
9
Let k(d) = 5*d**3 + d**2 + 315. Calculate the remainder when k(0) is divided by 20.
15
Suppose 5*s = -24 + 84. Let l = s + 18. Let r = l + -5. Calculate the remainder when 72 is divided by r.
22
Let b(h) = h**3 + 7*h**2 - 57*h - 8. Calculate the remainder when b(-11) is divided by 46.
43
Suppose 3*w - 7 - 3 = -2*i, i + 1 = 0. Suppose 3*o + 1 = 7. Suppose w*d - o*d - 24 = 0. Calculate the remainder when 44 is divided by d.
8
Let t(p) = p**3 + 19*p**2 - 2. Calculate the remainder when t(-9) is divided by 58.
54
Suppose 5*x = v + 39, 5*x = -6*v + 4*v + 42. Let c(k) = 13*k - 12. What is the remainder when c(5) is divided by x?
5
Suppose -4*m + 3*m + 2 = 0, 0 = -5*s + 3*m - 41. Let a be 63*(16/(-4))/(-12). Let j = a - s. What is the remainder when 81 is divided by j?
25
Let h(d) be the first derivative of d**4/4 - d**3 + 5*d**2/2 - 3*d + 3. What is the remainder when 1*(0/(-3) - (-132 + 1)) is divided by h(4)?
32
Let y(a) = -17*a - 18. What is the remainder when y(-2) is divided by 14?
2
Suppose 0*k - 4 = 4*k, 4*k + 68 = 4*d. Suppose -4*j + 120 = -2*h, j - 2*j + d = 3*h. Suppose -4*l - 4 + j = 0. Calculate the remainder when l is divided by 2.
0
Suppose 5*t = 3*w - 6, 9*t + 6 = 3*w + 6*t. Suppose -3*b = 3*x - 0*b - 123, w*b = -4. What is the remainder when x is divided by 4?
3
Calculate the remainder when 53*(5*18/15 + -5) is divided by 4.
1
Let j(w) = 4*w**3 - 18*w**2 + 4*w - 18. What is the remainder when j(6) is divided by 73?
3
Let r be (-162)/(-4) + (-2)/4. Let j(v) = v**3 + 2*v**2 - 34*v + 13. Let s be j(-7). Suppose -r = 2*c - s*c. What is the remainder when 27 is divided by c?
7
Suppose 25 = -5*q, -18*h - 5*q + 230 = -15*h. What is the remainder when 168 is divided by h?
83
Let k = -12 - -15. Let m(u) = -u**2 - 4*u + 9. Let g be m(-5). Suppose 3*l - 18 = 3*w, -g*w = -12 - 0. What is the remainder when l is divided by k?
0
Let o(u) = -2*u**3 + 2*u**2 + 15*u + 89. Let i(h) = h**3 - h**2 - 7*h - 45. Let s(y) = -9*i(y) - 4*o(y). Calculate the remainder when s(0) is divided by 18.
13
Suppose -5*p = -6 - 9, s - 3*p = -2. Suppose 20 = b + 4*d, 4*d = 5*b - 23 - 29. Calculate the remainder when b is divided by s.
5
Let j = 306 - 289. Calculate the remainder when 186 is divided by j.
16
Let w(d) = 5*d**2 - 3*d**2 - 2*d + 7*d**2 + 1. Let o be w(-2). Suppose 5*b = -3*x + o, 4*b = -5*x + b + 63. What is the remainder when 45 is divided by x?
9
Let x be (-4)/(-4) - (0 + 1). Suppose x*s + 10 = s. Let j = -6 + s. What is the remainder when 5 is divided by j?
1
Suppose -25 = -3*g - 4*s, 2*g + 3*s - 18 = -s. Let q(o) = 2*o - 24. Let n be q(13). Suppose n*m = g*m - 255. What is the remainder when m is d