4) - 1). Let r = 71 + w. Suppose 4 = 3*s + m - 34, -m - 34 = -3*s. Calculate the remainder when s is divided by r.
2
Let g(k) = -k**3 + 3*k**2 + 5*k - 1. What is the remainder when (-258)/(-16) - 48/384 is divided by g(4)?
1
Let w(c) = -3*c**2 + 2*c + 84. What is the remainder when 2855 is divided by w(0)?
83
Let l(s) = -s**3 + 6*s**2 + 7*s - 7. Let j be l(6). Let d = -23 + j. What is the remainder when d is divided by 7?
5
Let h = 52 + -26. Let m(p) = -2*p - 9. Let u(v) = -v - 4. Let t be u(5). What is the remainder when h is divided by m(t)?
8
What is the remainder when (-4*(-2985)/120)/((-2)/(-4)) is divided by 40?
39
Let f = 35 - 22. Calculate the remainder when f is divided by (77/56)/((-1)/(-8)) - 7.
1
Let y(q) = -q**3 - 8*q**2 + 2*q - 58. Calculate the remainder when (16 - -1) + 0/(-2) is divided by y(-9).
2
Suppose 2*x - 380 = -3*x. Suppose 4*q - 148 = -4*c - c, x = 2*q + 2*c. Calculate the remainder when q is divided by (-1 - -2)*(11 + 0).
9
Suppose -h = 4*g - 24, -g + 11 = -h + 2*g. Suppose 0 = -h*t + 4 + 48. Calculate the remainder when t is divided by (12/10)/((-3)/(-20)).
5
Let i = 19 - 17. Suppose 0*b - 10 = -i*b, -2*b = -h + 2. Suppose -z + h = k - 12, 5*k = -10. What is the remainder when 77 is divided by z?
25
Let q = -274 - -454. Let a be (5/10)/(3/q). Let x = -6 + a. What is the remainder when 71 is divided by x?
23
Suppose -2*b - b - 303 = -2*k, -459 = -3*k + 3*b. Suppose 3*y = 7*y - k. Calculate the remainder when y is divided by 8.
7
Let h = 272 + -255. Calculate the remainder when 117 is divided by h.
15
Let z(n) = n**2 + 23*n + 43. Suppose 5*s - 16 = 4*u - 5*u, 4*s + 18 = 2*u. What is the remainder when z(-23) is divided by u?
10
Let i = 399 + -298. Calculate the remainder when i is divided by 20.
1
Let l = -99 - -141. Suppose 9*k - l = 3*k. Calculate the remainder when 11 is divided by k.
4
Suppose d = 3*d + 5*a + 43, 50 = -5*d - a. Let i = d + 18. Let p(c) = c**3 + 9*c**2 + 5*c - 8. What is the remainder when p(-8) is divided by i?
7
Let p = 1345 + -1201. What is the remainder when p is divided by 22?
12
Let p = -698 - -740. Calculate the remainder when 124 is divided by p.
40
Suppose -4*o - 224 = -2*c, -c + 110 = 2*o - 3*o. What is the remainder when 5856/c - 4/18 is divided by 28?
26
Let a(u) = u**3 - 8*u**2 - 5*u - 55. Let w be a(9). Let b = 70 - 38. Let g = w + b. Calculate the remainder when 20 is divided by g.
7
Let f(s) = 4*s**2 - 4*s + 1. Let k be (15/20)/((-3)/(-8)). Calculate the remainder when 34 is divided by f(k).
7
Let i(l) = -15*l**2 + 6*l - 1. Let h be i(3). Let f = h + 156. Calculate the remainder when f is divided by 5.
3
Let f = 307 + -220. What is the remainder when f is divided by 22?
21
Let o = 6 + -1. What is the remainder when 9 is divided by o?
4
What is the remainder when ((-131)/(-3))/((-50)/30 + 2) is divided by 27?
23
Let s = -9 - -14. Suppose s*d + 43 - 138 = 0. Calculate the remainder when 55 is divided by d.
17
Suppose 14*c - 30 = -86. What is the remainder when c/6 - (177/(-9) - -1) is divided by 7?
4
Let n be 10/15*7*9. Suppose 5*d + 5*g - 23 = n, 4*d - 57 = g. Suppose 2*o + 3*o - 205 = 0. Calculate the remainder when o is divided by d.
13
Suppose 141 = 3*u - 2*p, -3*u - 168 = -7*u - 4*p. Calculate the remainder when 59 is divided by u.
14
Suppose -1594*u = -1597*u + 51. Calculate the remainder when u is divided by 12.
5
Suppose -45 = -2*b + 5*z, -b - 2*z = 3*z. Let h = 404 - 345. Calculate the remainder when h is divided by b.
14
Let j(q) = 11*q. Let w be j(3). Suppose -2*g = 0, -2*h - g = g - 96. What is the remainder when 42 is divided by (w/(-4))/((-36)/h)?
9
Suppose 2*o - 246 = -3*q, -q - 632 = -5*o - 0*q. Let u = o + 109. Calculate the remainder when 2/(-10)*-2*u is divided by 24.
22
Let p(l) = l - 14. Let q be p(12). Suppose -s - 8 - 19 = 0. What is the remainder when 68 is divided by (-24)/(-18)*s/q?
14
Calculate the remainder when (-58)/(-3)*(1 + -2 + 4) is divided by 42.
16
Let f(m) = 62*m**2 + m. Let g be f(1). Let v = g - 39. Let j = v + -22. What is the remainder when j is divided by 1?
0
Suppose 2*x - 3*f - 28 = 0, 4*x = -6*f + 2*f + 76. What is the remainder when 91 is divided by x?
6
Let b be 10*(2 - (-5)/(-2)). Let n(q) = -2*q**3 - 6*q**2 - q + 6. What is the remainder when n(b) is divided by 19?
16
Suppose 2*j - 30 = -3*j. What is the remainder when 19 is divided by j?
1
Suppose 0 = -4*d + 3*d - 3. Suppose -3*i - 2*i = -60. Calculate the remainder when d + (-2 + 20 - -4) is divided by i.
7
Let z = 12 + -9. Suppose -z*w = 3*w - 12. Suppose w*p = p + 26. What is the remainder when 49 is divided by p?
23
Let c = -36 + 44. Calculate the remainder when -3 + c - (-91 + -1) is divided by 20.
17
Let z = 253 + -245. What is the remainder when 102 is divided by z?
6
Let d be (-43)/(-3) - 4/12. Let q be -36*(-1 - (-8)/12). What is the remainder when 514/d - q/(-42) is divided by 13?
11
Suppose -241 = i - 46. Let p = -130 - i. Suppose -r + 4*d = -p, 8*r - 3*r - 310 = 5*d. What is the remainder when r is divided by 31?
30
Suppose -9*p + 26 = -28. Let f(g) = 3*g + 7. Let x be f(6). Suppose -j - 7 = -x. What is the remainder when j is divided by p?
0
Let y be 17208/312 - (-4)/(-26). Let m be 57/12 - (-3)/12. Suppose -3*o + m*w + 41 - 8 = 0, -4*o + 3*w + y = 0. Calculate the remainder when 46 is divided by o.
14
Let u = 31 - 29. Suppose u*k + 6 = 5*k. What is the remainder when (6 - 0) + -1*1 is divided by k?
1
Suppose 319 = 10*f - 851. What is the remainder when f is divided by 64?
53
Let r(y) = y. Let n(s) = 10*s + 1. Let t be (1 + 1)*(-5)/(-10). Let f(p) = t*r(p) + n(p). Calculate the remainder when f(5) is divided by 19.
18
Let y be (14/(-42))/(2/6). Calculate the remainder when 29 is divided by 9 - 6 - (y - 2).
5
What is the remainder when 2/((-5)/(-79)*(-22)/(-165)) is divided by 60?
57
Suppose 19 = 2*v - 31. Suppose h = -4*c + v - 6, 2*h - c = -7. Let u(j) = 12*j**2 - j. What is the remainder when 38 is divided by u(h)?
12
Let z(n) = 25*n + 284. Calculate the remainder when z(-9) is divided by 10.
9
Suppose -a + 3*h = -46, -2*a - 3*h = -4*h - 97. What is the remainder when 830 is divided by a?
46
Let s(b) = 108*b - 14. Calculate the remainder when s(5) is divided by 106.
102
Suppose -547 - 20 = -27*x. What is the remainder when 165 is divided by x?
18
Suppose 2*b + 5*c + 2 + 7 = 0, 0 = 5*c + 15. Suppose b*j = w + 109, -j - w - 31 = -74. What is the remainder when j is divided by 10?
8
Suppose 18*i - 1500 = -5*q + 13*i, 901 = 3*q + 4*i. What is the remainder when q is divided by 100?
99
Let s = 16 + -16. Suppose 0 = 3*l - s*l - 60. Suppose -y + 67 = 2*v, -161 = -2*y - y + 2*v. What is the remainder when y is divided by l?
17
Let o = -93 + 99. Calculate the remainder when 136/14 + 4/14 is divided by o.
4
Calculate the remainder when (-2 - 0)/(12/(-1272)) is divided by 54.
50
Let n(w) = w**3 - 3*w**2 - 8*w - 7. Let a be n(6). Suppose -3*k + 3*l + 40 = -a, -2*k = 2*l - 42. What is the remainder when k is divided by 7?
5
What is the remainder when 796/3 + 2*(-4)/24 is divided by 38?
37
Suppose 26*z - 1558 = 7*z. Calculate the remainder when z is divided by 18.
10
Let n = 8 - 4. Suppose n*j + j = 3*v + 61, 63 = 5*j - 4*v. Let d = 3 - -40. Calculate the remainder when d is divided by j.
10
Let m(w) = w**2 + 9*w - 8. Let d be m(-10). Suppose -2*q = 2, 12 = d*f - 5*q - 13. What is the remainder when 4/(-6) + 143/3 is divided by f?
7
Suppose 66 = 5*d + r, 2*r - 7*r - 76 = -4*d. Calculate the remainder when 55 is divided by d.
13
Let k(i) = i**3 + 10*i**2 - 14*i - 4. Let d(h) = 47*h**2 - h - 14. What is the remainder when d(2) is divided by k(-11)?
27
Suppose -5*w + 272 = 47. Suppose 2*d = -d + w. Suppose i + 2 - d = 0. What is the remainder when 38 is divided by i?
12
Let h = -993 - -1060. Calculate the remainder when 392 is divided by h.
57
Let q be (-39)/2*40/30. Let o be 3 + -15*(-1 - -3). Let k = q - o. Calculate the remainder when 2 is divided by k.
0
Let t(l) be the second derivative of 29*l**3/6 + 9*l**2/2 + 11*l. Calculate the remainder when t(5) is divided by 39.
37
Let d(l) = 6*l + 1. Suppose 0 = w + 3*w - 36. Calculate the remainder when d(10) is divided by w.
7
Let a(s) = 3*s + 3 - 3 + 0. Let r be a(1). Calculate the remainder when (-1)/(((-2)/r)/2) is divided by 1.
0
