 the remainder when x is divided by 14 + -14 - (-80)/10?
4
Suppose -4822 = -31*p + 1471. Let v = -5 + 56. Calculate the remainder when p is divided by (8/(-12))/((-1)/v).
33
Suppose 4*n - 22 = 6*n + 4*l, 0 = n + 5*l + 23. What is the remainder when 94/4 + n/2 is divided by 8 + -1 + (1 - 2)?
4
Let r = -14381 + 14711. Calculate the remainder when r is divided by 87.
69
Suppose 8*w - 380 = 324. Calculate the remainder when w is divided by (222 - 216)*1/6*29.
1
Let l be (-40)/2*(-5)/(50/(-5)). Let a(c) = -10*c - 76. Calculate the remainder when 71 is divided by a(l).
23
Let q be 0 + (436 + -2)/2 - -3. Let z = q - 11. Calculate the remainder when (-11)/11 - (z - -1)/(-2) is divided by 35.
34
Let k(r) = r**3 + 31*r**2 - 36*r - 95. Let y be ((-6)/5)/(4/10). Let p(w) = w**3 + 4*w**2 - 2*w - 3. Calculate the remainder when k(-32) is divided by p(y).
9
Suppose 0 = -2*i + 7*i + v - 122, -4*i - 4*v = -104. Let d(p) = -2*p + 124. Let a = 24 + -4. Calculate the remainder when d(i) is divided by a.
16
What is the remainder when (22 + 15 - 1558)*(-2)/2 is divided by 312?
273
Let v = 30975 + -30690. Let q = -75 + 116. Calculate the remainder when v is divided by q.
39
Suppose 0 = -34*x + 778 + 650. Suppose -4*k + 2*n = -x, 4*k - 3*n - 33 = k. Calculate the remainder when 177 is divided by k.
7
Calculate the remainder when 8769 is divided by -8 + (-3)/(15/(-295)).
48
Let x be 5 - 2868/(-6) - 0. Let l = 492 - x. What is the remainder when 385 is divided by l?
7
Let f(g) = g + 7. Let m be f(11). Suppose 0 = n - 2*j + 4*j - 9, -3*n + 3*j = -m. Suppose -n - 5 = -t. Calculate the remainder when 70 is divided by t.
10
Let u be ((-4)/6)/(2/(-6)). Let m = u + 109. Suppose -65 = 26*q - 793. What is the remainder when m is divided by q?
27
Suppose -382 + 1026 = -7*z. Calculate the remainder when 295 is divided by 582/15 + z/115.
29
Let o = -16 + 10. What is the remainder when (18/(-15))/(o/105) is divided by 15*((-2)/7 + 18/14)?
6
Suppose -29 = 36*u - 317. Calculate the remainder when u is divided by (7/28)/((-1)/(-28)).
1
Suppose 0 = 2*w + s - 5*s + 36, 0 = -5*w + 4*s - 120. Calculate the remainder when 2/(-7) - (2500/w - -1) is divided by 14.
4
Let m be (2 - 3) + 2 + -40. Let f = 76 - 89. Let t = f - m. Calculate the remainder when 101 is divided by t.
23
Let w(u) = -u**3 + 13*u**2 - 11*u - 45. Suppose 2*s - 21 = 21*o - 24*o, -5*s + 30 = 5*o. What is the remainder when w(o) is divided by 62?
56
Let x(r) = 127*r - 3421. Calculate the remainder when 2570 is divided by x(28).
5
Suppose 3*n = 4*y + 4907, 10 = 12*y - 14*y. Let z = -1092 + n. Calculate the remainder when z is divided by 45.
42
Suppose -u - 20 = -3*x, -4*x = -4*u - 0 - 32. Let p(w) = -71*w**2 - w - 1. Let n be p(-1). What is the remainder when 12/48 + n/(-4) is divided by x?
0
Let m(b) be the second derivative of -33*b**3 - 37*b + 34*b**3 - 12*b**2 - b**2. Calculate the remainder when m(8) is divided by 7.
1
Let s = -3 + 11. Let d = -700 - -703. Suppose -3*k + 75 = 3*g, -d*k - s - 22 = -2*g. What is the remainder when 59 is divided by g?
17
Let y = -22 + 28. Suppose 68 = 8*f - y*f. Let b = f + -25. Calculate the remainder when 24 is divided by b.
6
Let a(b) = -37*b + 13 - 16 + 2*b + b. Let n be a(-3). What is the remainder when (-1382)/(-18) + 22/n is divided by 20?
17
Let a(s) = s**2 + 18*s + 19. Suppose -167*k + 171*k = -68. Let r be a(k). Suppose g + 227 = 3*h, r*g = 4*g - 8. Calculate the remainder when h is divided by 39.
38
Let r = 38 + -28. Let x be (-2 - -4) + (2 + -4 - 15). What is the remainder when r is divided by (-51)/x + (-10)/25?
1
Suppose -2*h - 31*s + 33*s = -154, 2*h = -s + 151. Calculate the remainder when 198 is divided by h.
46
Let a(t) = 2*t**2 + 5*t + 2. Let c be a(-3). Suppose 0 = p + 2*z + 1 + 2, -c*z = 2*p + 10. Calculate the remainder when -28*((-348)/24)/29 is divided by p.
4
Let b(y) be the second derivative of y**3 - y. What is the remainder when ((-405)/(-150)*25)/(10/12) is divided by b(2)?
9
Let t = 53 + -2. Calculate the remainder when -3 + (-211518)/(-414) + (-6)/(-69) is divided by t.
49
Suppose -13*u - 14*u = -7209. What is the remainder when u is divided by 30?
27
Let c be ((-330)/(-45))/(3/9). Suppose c*y = y + 336. What is the remainder when 56 is divided by y?
8
Let j(d) = -d**2 - 24*d - 75. What is the remainder when 1018 is divided by j(-13)?
66
Suppose 2*k + 242 = -0*k. Calculate the remainder when k/(-3) + (-1)/3 is divided by ((-28)/(-10))/((-184)/(-230)*(-1)/(-6)).
19
Let b = 298 + -203. Suppose 21*p = 2*p + b. What is the remainder when 108 is divided by p?
3
Suppose u - 20 = 6*u, -u = -5*i + 354. Suppose -134*h + 1160 = -1386. What is the remainder when i is divided by h?
13
Let o be 26973/(-185) - 1/5. Let u = 147 + o. What is the remainder when 1 is divided by u?
0
Suppose 5*s + 462 = 2*l, 0*l = 2*s - 2*l + 186. Let g = -77 - s. What is the remainder when 119 is divided by g?
14
What is the remainder when (1780/350*14)/((-26)/10 - -3) is divided by 14?
10
Let h = 481 - 403. Let x = h - 62. Let s(f) = 45*f. What is the remainder when s(1) is divided by x?
13
Suppose 2*y + 129 = q, -2*q + y + 238 = 2*y. Suppose 11*f - q - 22 = 0. Calculate the remainder when 389 is divided by f.
12
Let f = 1247 + -1242. Let r(x) = 3*x - 1. Let b be r(1). Suppose -b*g + 25 = -f*y, -3*g - 4*y + 2 + 24 = 0. Calculate the remainder when 37 is divided by g.
7
Suppose 0 = -i - 0*i - 89. Let w = i - -91. Suppose w*u = 2*p + u - 27, 0 = 2*p - 4*u - 30. What is the remainder when 20 is divided by p?
7
Suppose 25 = 2*h + 15. Calculate the remainder when h/(-10)*1956/(-6) is divided by 55.
53
What is the remainder when (-381)/(-18)*(-654)/(-109) is divided by 125?
2
Suppose 407 - 5069 = -74*z. Calculate the remainder when 2330 is divided by z.
62
Suppose 0 = -c - 0 + 2. Let j be 0 + 40 - (-352)/(-44). Suppose -c*x = -j + 2. What is the remainder when 52 is divided by x?
7
Suppose -5*p + 39 = -o, 3*p = 2*o - o + 33. Let i = o - 41. Let x = i - -90. Calculate the remainder when x is divided by 13.
12
Suppose -467 = 6*t + 499. Let j = t + 213. What is the remainder when 99 is divided by j?
47
Let d = -623 - -639. What is the remainder when 141 is divided by d?
13
Let y = 7415 + -7261. What is the remainder when y is divided by 28?
14
Let g(x) = x**3 - 4*x + 1. Let f(u) = -u**2 + 3*u + 8. Let o be f(5). Let l be g(o). What is the remainder when 2925/36 - l/4 is divided by 28?
25
Let y = -66 - -35. Let z = -8 + -45. Let o = y - z. What is the remainder when 86 is divided by o?
20
Let b(k) = -k**3 + 9*k**2 + 6*k - 8. Let u be b(9). Let o = u + -3. Suppose -44*z - 1272 = -50*z. What is the remainder when z is divided by o?
40
Suppose -2*x - 28 = -l - 38, 2*x - 6 = -l. Let k(v) = 14*v - 7. Calculate the remainder when 143 is divided by k(x).
45
Let l(a) = -21*a - 626. Calculate the remainder when l(-50) is divided by 47.
1
Suppose 5627 = 74*j - 1921. What is the remainder when 453 is divided by j?
45
Let i(k) = -k**2 - 81*k - 1386. Calculate the remainder when 243 is divided by i(-52).
121
Let d = -218 + 556. Let c(y) = 287*y + 5774. What is the remainder when d is divided by c(-20)?
32
Let i(q) = 3*q**3 - 2*q**2 - 2*q. Let w be i(0). Suppose w = -20*s - 28*s + 816. What is the remainder when 47 is divided by s?
13
Suppose -56*w + 54*w - 2*j = -13710, 0 = -2*j - 14. What is the remainder when w is divided by 229?
221
Suppose 0 = -134*c + 139*c - 990. What is the remainder when c is divided by 50?
48
Suppose 4*r = -h + 41 - 15, -4*h - 2*r + 62 = 0. What is the remainder when 50 is divided by h?
8
Let m(v) = -v**2 - 30*v - 213. Let n(p) = -13*p + 125. Let a be n(11). Calculate the remainder when m(a) is divided by 2.
1
Let m(v) = -6*v - 174. Suppose 51*y + 367 = -1214. What is the remainder when m(y) is divided by 3?
0
Let g(h) = -h**2 - 68*h + 2817. Calculate the remainder when 428/28 + 2/(-7) is divided by g(29).
3
Let z(n) = n**3 - 76*n**2 + 76*n - 64. What is the remainder when 1384 is divided by z(75)?
9
Let b = -4 - -147. Let y(t) = -t**3 - 2*t**2 - 7. Let h be y(-3). What is the remainder when b is divided by 25*h - 3*(-20)/(-30)?
47
Let q = -38 + 38. Suppose 95 = 5*r + 3*s, q = -r + 3*s - 5*s + 19. What is the remainder when r is divided by 4?
3
Calculate the remainder when 4288 is div