et w = n - 112. What is the remainder when w is divided by 16?
14
Let f(n) = 19*n - 651. What is the remainder when 480 is divided by f(40)?
44
Let g(i) = 267*i. Calculate the remainder when g(1) is divided by 136/51 + (-2096)/(-24).
87
Let d = 1137 - 1130. Suppose -g + 1 - 4 = 0, -93 = -4*x - g. Calculate the remainder when -1 - (-297)/3 - d is divided by x.
19
Let w = 7703 - 7673. What is the remainder when 174 is divided by w?
24
Let x(w) = w**3 + 19*w**2 - 41*w + 20. Let c be x(-21). Let f = 22 + -20. Calculate the remainder when c*(-4)/f - (-128 + 0) is divided by 19.
16
Suppose -4*m = 28, 5*m + 858 = 2*p + 637. What is the remainder when 286 is divided by p?
7
Suppose -a = -3*j + 158, 0 = 5*j - a - 62 - 198. What is the remainder when 82 is divided by j?
31
Suppose -4*h + 131 + 1272 = 5*l, -4*h - l + 1407 = 0. Let s = h - 350. Calculate the remainder when 10 is divided by s.
0
Let d(g) = -3*g + 738. Calculate the remainder when d(118) is divided by 6.
0
Let y(d) = d**2 - 2*d - 1. Let i be y(4). Suppose -i*l = -6*l. Suppose -5*f = -l*f - 65. What is the remainder when 37 is divided by f?
11
Let b be (-304)/52 + (-2)/13. Let r = 35 - 13. Let h = r + b. What is the remainder when 31 is divided by h?
15
Let a be (759/46)/((-3)/(-4)). Suppose a*n - 18*n = 288. Suppose 40 = 5*w + m - 30, 4*m = -4*w + 40. Calculate the remainder when n is divided by w.
12
Suppose -4*o - 2*i = -22, -3*o + 5*i = 3*i - 6. Let g be (-2)/(-4)*8 - o. Let f(h) = 2*h**2 + 18. What is the remainder when 35 is divided by f(g)?
17
Let h(r) = -1 - 39 - 4*r**2 + 3*r**2 - 15*r. Let a = 16 + -7. Calculate the remainder when h(-7) is divided by a.
7
Let a = 99 - 59. Suppose -250 = -5*w + 5*u, -w = 2*u - u - a. Let z = 12 + -6. What is the remainder when w is divided by z?
3
Let b = 1273 - 1243. Calculate the remainder when 1945 is divided by b.
25
Suppose -2*f = -4*t + 2382, -85*t + 89*t - 2357 = -3*f. Calculate the remainder when t is divided by 27.
26
Let v(j) = 13*j + 78. Let g(o) = -25*o - 156. Let h(l) = 2*g(l) + 5*v(l). Calculate the remainder when 83 is divided by h(-3).
17
Calculate the remainder when (-147)/14*(-2)/14 + (-7182)/(-4) is divided by 50.
47
Suppose 2*h + 170 = p, -3*h = 4 - 1. Suppose -658 + p = -10*k. Calculate the remainder when k is divided by 20.
9
Suppose -40*u + 43*u = 30. Suppose -3*z = 2*z + x - u, -4*z = -x + 1. Let b(w) = 97*w**2 + w + 1. What is the remainder when b(z) is divided by 17?
14
Let k(t) = -3*t**3 - 123*t**2 + 42. Calculate the remainder when 1677 is divided by k(-41).
39
Let j(q) = 6*q**2 - 3*q - 7. Let k = -966 - -1000. Calculate the remainder when k is divided by j(-2).
11
Suppose 29 = -4*q + 117. Suppose -5*z = -q + 12. Calculate the remainder when 1456/28 - (-1)/(z/(-6)) is divided by 14.
7
What is the remainder when 1973 is divided by 25/(150/42) - (-74 + 2)?
77
Let w be -104 - (2 + 4 + -6). Let i = 144 + w. Calculate the remainder when 153 is divided by i.
33
Suppose 0 = 18*f - 20*f + 4, 0 = o + 2*f - 112. Suppose 6*k - 220 = 146. Calculate the remainder when o is divided by k.
47
Suppose -6*m + 242 = 2*u - 2*m, -263 = -2*u + 3*m. Let c = 1804 - 1791. Calculate the remainder when u is divided by c.
10
Let l(y) = 18*y - 2. Calculate the remainder when 358 is divided by l(7).
110
Suppose -x + 13 - 8 = 0. Suppose -3*d - 50 = -x*d. Calculate the remainder when 93 is divided by d.
18
Calculate the remainder when (-549)/(-1281)*(-6286)/(-6) is divided by 113.
110
Suppose -309*h + 48199 = -11129. What is the remainder when h is divided by (1 - 0)*(-294)/(-3)?
94
Let a = -7306 - -7596. Calculate the remainder when a is divided by 49.
45
Let w = -102 - -149. Let g = -190 + 291. What is the remainder when g is divided by w?
7
Suppose 8 = 4*m - 8, -2*m + 13 = x. Suppose -x*l + 353 = -r, -4*r - 225 = -3*l + r. Let a(q) = -12*q + 123. What is the remainder when l is divided by a(9)?
10
Let b(u) = -122*u + 63. What is the remainder when b(-4) is divided by 271?
9
Let a(d) = -d**3 + 27*d**2 + 58*d - 13. Let r be a(29). Let q = r - -33. What is the remainder when 57 is divided by q?
17
Let l(a) = 3*a**2 - 52*a + 31. Let p = 137 - 115. Calculate the remainder when l(p) is divided by 57.
54
Let a(x) = x**3 + 57*x**2 - 118*x + 34. Let j(g) = 4*g**3 - 6*g**2 + 7*g + 1. What is the remainder when j(4) is divided by a(-59)?
19
Suppose -2*k - 1 = 1, 4*n + 2*k = 226. Suppose 7*b = -13 - n. Let v = 29 - b. Calculate the remainder when v is divided by 8.
7
Let t be (-16)/12 + 1072/12. Let r = t + -88. Suppose -3*z = 3*y - 54, -y + 6 - 1 = r. What is the remainder when 62 is divided by z?
10
What is the remainder when (16/24 - (-3260)/(-84))*(-42)/2 is divided by 234?
99
Let y(m) be the first derivative of 5*m**2 - 3*m - 53. What is the remainder when 80 is divided by y(1)?
3
What is the remainder when (-90825)/42*48/(-60) is divided by 26?
14
Let k(u) = -u**3 - 7*u**2 - 7*u + 17. Let t be k(-5). Suppose h + 14*g - 11*g - 31 = 0, -t*g - 11 = -h. What is the remainder when 112 is divided by h?
17
Let h = 30 - 101. Let j = 53 + h. Calculate the remainder when 32 is divided by (-1 - 2)*-11*(-6)/j.
10
Suppose 4*x = -q + 90, 12*q + 97 = 13*q - 3*x. Calculate the remainder when 2347 is divided by q.
91
Let x be 165/(-132)*(-16)/10. Suppose 15 = p + x*m - 54, p - 67 = -m. What is the remainder when p is divided by 33?
32
Suppose -412*a + 416*a = 108. Let r(f) = -f**3 - f**2 - f + 25. Calculate the remainder when a is divided by r(0).
2
Let x = -15436 - -16133. What is the remainder when x is divided by 22?
15
Suppose -3*x - 54 = 3*q + 3, -q - 31 = -5*x. Let o = 23 + q. What is the remainder when 123 is divided by o/((-10)/(-5))*25?
23
Let q be (-3 - -3) + 10/2 + 0. Suppose -8*p = -q*p + 15. What is the remainder when (p - (-9 - 5))*2/3 is divided by 5?
1
Let y(b) = -231*b + 1. Let o be y(-6). Suppose 0 = -15*x - 4*x + o. Calculate the remainder when 359 is divided by x.
67
Suppose -3*b = -b, 12*i - 16*i + 2188 = -5*b. What is the remainder when i is divided by 29?
25
Let h = 15652 + -15616. Suppose -2*c + 95 + 59 = 0. Calculate the remainder when c is divided by h.
5
Let g be (-3)/(-6) + (-55)/(-10). Suppose -2*c - 4*r + 100 = 0, 8*c - 105 = g*c - 3*r. Calculate the remainder when 239 is divided by c.
59
Let t(n) = n**2 - 7*n + 4. Let d be t(6). What is the remainder when d/(216/110 + -2) is divided by (12/54)/(68/8874)?
26
Suppose 464 = 10*s + 34. Suppose -81 = -8*f - f. What is the remainder when s is divided by f?
7
Let i(s) = s + 18. What is the remainder when ((-2)/6 - 3)*(-198)/6 is divided by i(-10)?
6
Let r(l) = -2*l**3 + 48*l**2 + l - 27. Let z be r(24). Let d = 7 + -12. Calculate the remainder when (-231)/z - (d - -4) is divided by 27.
24
Suppose -41*z = -9*z - 96. Suppose -z*q + 72 = -3. Let n = -23 + 122. Calculate the remainder when n is divided by q.
24
Let j(t) = 2*t**2 + 2*t + 86. Let a be 3/(-6) - 19/(-38). Calculate the remainder when j(a) is divided by 1/(3/96) + -3.
28
Suppose 46*p - 30 = 40*p. Suppose -3*g - p*u + 92 = 0, -5*g + 2*g = -u - 122. Let t(b) = -b**3 - b**2 - b + 75. What is the remainder when t(0) is divided by g?
36
Let t(a) = -a**2 + 34*a + 76. Let p be t(36). Suppose p*l = -0*j - 4*j + 660, -3*l = -5*j + 833. Calculate the remainder when j is divided by 42.
40
Suppose -6*f + 33 = 207. Let i = 33 + f. Suppose i*m = 7*m - 180. What is the remainder when m is divided by 31?
29
Suppose 0 = 6*f - 6093 + 6615. Let w = -229 + 54. Let r = f - w. Calculate the remainder when r is divided by 24.
16
Let q(i) = -35*i**3 - i**2 + i. Let v be q(1). Let y = v - -38. Suppose -x + 64 = y*x. Calculate the remainder when x is divided by 6.
4
Suppose -9*s = -14 - 4. Suppose -w + s*v + 200 = 3*w, -2*v = -w + 50. What is the remainder when 194 is divided by w?
44
Suppose -13*l + 169 = -130. Calculate the remainder when 41 + 0 + (-8 - -2) is divided by l.
12
Suppose 4*b - 88 = -0*l - 4*l, -5*b = l - 90. Suppose 10*x = 127 - b. What is the remainder when x is divided by 10?
1
Suppose -229*u = -231*u + 20. Suppose -u + 98 = 4*f. Suppose 151 = 4*i + 5*v, -2*i + 31 = 2*v - 45. Calculate the remainder when i is divided by f.
17
Let a(d) be the second derivative of -2*d**3 + 181*d**2/2 + 154*d. Calculate the remainder when 191 is divided by a(14).
