*s. Suppose t - 4*x = 21, 5*t = -s*x + 16 + 43. What is the remainder when t is divided by 3/(1 + (-12)/21)?
6
Suppose 5*u = 524 + 2161. What is the remainder when u is divided by 36?
33
Suppose 4*a + 2*m - 860 = 0, 928 = 3*a + 5*m + 290. What is the remainder when a is divided by 113?
103
Let z = -1182 + 1183. Calculate the remainder when 6 is divided by z.
0
Let y = -273 + 474. Calculate the remainder when y is divided by 34.
31
Suppose 0 = s - 5*p - 38, -2 = 2*s + 4*p - 8. Let t(b) = -3*b**2 - 8*b + 5. What is the remainder when s is divided by t(-3)?
1
Suppose -4 = -17*m + 16*m. Suppose 8 = 4*q, 3*z + q + m*q = -44. Let x = 9 - z. What is the remainder when x is divided by 10?
7
Let c(n) = -25*n - 54. Calculate the remainder when 36 is divided by c(-3).
15
What is the remainder when 1609 is divided by (-21)/4*(-6320)/474?
69
Let c(b) = -b**3 - 8*b**2 + 2*b - 24. Calculate the remainder when c(-10) is divided by 51.
3
Suppose 5*z - 5*f - 142 = -8*f, z + 4*f - 25 = 0. Let r = -82 - -165. Calculate the remainder when r is divided by z.
25
Let d = -26 + 44. Suppose 2*g + 3*g - 20 = 0. Calculate the remainder when (-2 + g)/((-5)/(-130)) is divided by d.
16
Suppose -5*u + 3*m = 16 - 107, -u = 5*m - 35. Suppose 0*p + u = 5*p. Calculate the remainder when 15 is divided by p.
3
Let a = -2 - -9. Suppose 8 = -2*t - 4*y, -5*y = t + a + 6. What is the remainder when t + ((-2)/1 - -16) is divided by 6?
4
Let a = 20 + -11. Calculate the remainder when a is divided by 4/14 - (0 - (-95)/(-35)).
0
Let h = -4 - -6. Let u(m) = -7 + 7 - h + 7*m. What is the remainder when u(6) is divided by 21?
19
Let x = -54 - -90. Let o be 2/(-9) + 8/x. Suppose 3*r - 62 = -2*b, 2*b + 2*b - 4*r - 124 = o. What is the remainder when b is divided by 8?
7
Let n = 273 + -243. What is the remainder when n is divided by 12?
6
Let b(u) = -u - 3. Let g(k) = -k**2 - 18*k - 16. Let h be g(-17). What is the remainder when (-16)/(-8) - h/(-1) is divided by b(-5)?
1
Let x(c) = c**2 - 4*c + 9. Let v(h) = 3*h. Let s be v(0). What is the remainder when x(s) is divided by 3?
0
Suppose b + 2 = 2*a + 9, 5*a - 2*b = -16. Let z be (80/(-24))/(a/(-18)). What is the remainder when 36 is divided by (-1)/(1*3/z)?
6
Let r(x) = -5*x**3 + x + 1. Let f be r(-1). Let i = 14 - f. Suppose 0 = p + 2*p, i = 3*d - p. Calculate the remainder when 8 is divided by d.
2
Let u = 32 - 17. Let y = 119 - 69. Let h = -6 + y. Calculate the remainder when h is divided by u.
14
Let j(v) = -v**2 - 8*v - 18. Let s(l) = -l**2 - 10*l - 19. Let r(u) = -2*j(u) + 3*s(u). Calculate the remainder when r(-12) is divided by 3.
0
Suppose 314 = -3*h + k, 2*h + 214 = 2*k - 6*k. Calculate the remainder when 4/(-5)*h/2 is divided by 9.
6
Let r be (-2)/(3 + 106/(-34)). Suppose -r*w = -21*w + 48. What is the remainder when 33 is divided by w?
9
Let b(j) = 52*j**2 - 5*j**3 - 62*j**2 - 1 + 5*j + 3*j**3. Calculate the remainder when b(-6) is divided by 21.
20
Suppose 29 + 62 = 7*k. Calculate the remainder when k is divided by 2.
1
Calculate the remainder when (3504/64)/((-3)/(-4)) is divided by 26.
21
Let n be -6 + 4 + -1 + 7. Let j(v) = 18*v + 3. Let t be j(n). Suppose 0 = 4*y - y - t. What is the remainder when y is divided by 7?
4
Let h(i) = i**3 + 4. Let g be 5 + 9/(0 - 3). Suppose 3*r = g*r + 3. What is the remainder when h(r) is divided by 11?
9
Suppose m + 68 + 8 = 0. Let z = m - -79. Calculate the remainder when 12 is divided by z.
0
Let m = 108 + -22. What is the remainder when m is divided by 22?
20
Suppose -6*m + 29 = -25. Calculate the remainder when 3*4*(-17)/(-4) is divided by m.
6
Suppose 5*b = -20, -3*f = 2*b + 2*b + 7. Suppose 0 = -5*d - x + 52, 3*d + 0*x - 24 = f*x. What is the remainder when (-2)/3 - 226/(-6) is divided by d?
7
Suppose -z + 6 = 10. Let w be (-3 - 16/z) + 0. What is the remainder when 12 is divided by -1 + (w - (-3 + -2))?
2
Suppose g + g + 48 = 2*q, -g = 0. What is the remainder when q is divided by 13?
11
Suppose 1 = -x - 2. Let i be (6/(-21))/(x/42). Suppose -f = -4*t + 38, 5*t - i*f - 22 - 20 = 0. Calculate the remainder when 28 is divided by t.
8
Let s = -20 + 28. Suppose -10 = -x - j, 2*x - 2*j + 6*j - 30 = 0. Suppose 3*z + 50 + 6 = 5*p, -x*z + 15 = 0. What is the remainder when p is divided by s?
5
Suppose -28 = -4*m - 3*k, 0*k = m - 4*k - 7. Suppose m*i = 4*i + 51. What is the remainder when 61 is divided by i?
10
Let d(l) = l**2 + 2*l + 1. Let o be d(-4). What is the remainder when 39 is divided by (22/3)/(6/o)?
6
Let n(j) = 15 + j**2 + 3*j - 13*j + 4*j. Calculate the remainder when n(8) is divided by 11.
9
Let k(j) = 4*j**2 - 134*j + 5. Calculate the remainder when k(35) is divided by 24.
23
Let q be (2 + -4 + 3)*0. Suppose 4*f - 5 - 7 = q. Let b = f - -15. Calculate the remainder when 52 is divided by b.
16
Let z = -7 - -16. Let c(b) = -b**3 + 11*b**2 - 7*b - 22. What is the remainder when c(z) is divided by 13?
12
Suppose -207*d = -185*d - 5478. What is the remainder when d is divided by 51?
45
Let p(o) = -o**2 - 9*o + 1. Let d be p(-8). Suppose 11 = -2*b + 3*u + 194, 2*b + u - 179 = 0. Calculate the remainder when (d/6)/(3/b) is divided by 23.
22
Let l(f) = -f**2 - 12*f - 12. Let g = 95 - 83. Calculate the remainder when l(-8) is divided by g.
8
Calculate the remainder when 16 is divided by (-19)/(-190) + 147/30.
1
Let d(k) = -55*k + 2. Suppose -106*n = -141*n + 420. Calculate the remainder when d(-3) is divided by n.
11
Let y = -758 - -885. What is the remainder when y is divided by 25?
2
Suppose 5*m + 16 = 6. Let f(r) = r**2 - 13*r - 135. Calculate the remainder when f(21) is divided by (66/(-3))/(-2) + m.
6
Let l(t) = 116*t - 1230. Calculate the remainder when 314 is divided by l(11).
38
Let r(w) = -25*w - 200. Calculate the remainder when r(-11) is divided by 34.
7
Let u(t) be the third derivative of -t**6/120 + t**5/60 + t**4/24 + 3*t**3/2 + 2*t**2. Let o = 174 - 159. What is the remainder when o is divided by u(0)?
6
Suppose -d - 4 + 8 = 0. Suppose -28 = -b + 4*i, 57 - 9 = 2*b - d*i. Calculate the remainder when 9 is divided by ((-24)/b)/(2/(-5)).
0
Let c = 33 + -19. Calculate the remainder when (-159)/(-4) - (0 + 24/32) is divided by c.
11
Let g(x) = 2*x + 34. Calculate the remainder when g(27) is divided by 56.
32
What is the remainder when (-7)/4*1/((-9)/612) is divided by 30?
29
Let j(g) = 15 + 5 + 4*g + 9 - 4. What is the remainder when j(11) is divided by 12?
9
Let r(v) = 20*v - 97. What is the remainder when 120 is divided by r(7)?
34
Let x = -610 - -620. Calculate the remainder when 100 is divided by x.
0
Let z = -2 + 11. What is the remainder when (6 + (-320)/50)*(-65)/2 is divided by z?
4
Suppose -4*d + d = -216. Suppose 2*n - 8 - d = 0. What is the remainder when n is divided by 15?
10
What is the remainder when 139 is divided by 6 + (-4 - -35) - 2?
34
Let k(b) = 17*b - 239. Calculate the remainder when k(18) is divided by 21.
4
Let j be (0 - (1 - 3)) + 3. Suppose -o + 2*b + 105 = -4, -o + j*b + 97 = 0. Calculate the remainder when o is divided by 30.
27
Suppose 4*j = 5*j - 58. Let d = -34 + j. Calculate the remainder when 69 is divided by d.
21
Suppose 30*o = 12*o + 540. Let d(z) = -2*z - 2. Let j = 9 - 18. Calculate the remainder when o is divided by d(j).
14
Suppose -23*h - 5*d = -24*h - 14, -5*h = -2*d - 22. What is the remainder when 111 is divided by h?
3
Suppose -22*d = -20*d - 144. Calculate the remainder when 130 is divided by (-1 - 274/(-8)) + (-18)/d.
31
Let l be (27 - 0)/(-1 + 2). Calculate the remainder when (-2)/(52/l + -2) is divided by -10*(-9)/(-6)*(-1 - 0).
12
Let m(h) = -17*h**3 - 2*h**2 + 1. Let x be m(-1). Let q(d) = -7*d**3 + 2*d + 1. Calculate the remainder when q(-1) is divided by (-15)/(-10)*x/6.
2
Suppose -27*l + 859 + 1166 = 0. What is the remainder when l is divided by 20?
15
Let m(z) = -4*z - 101. What is the remainder when 36 is divided by m(-30)?
17
Let k be (-2)/(-4) - 13/2. Let l be (-16)/((-9)/2 - -5). What is the remainder when 27 is divided by (6/4)/(k/l)?
3
Suppose 4*n + 5*s - 273 = 0, 35 = 4*n - 2*s - 231. Suppose 4*c + 3*j - n = 0, -4*j = -3*c - 7*j + 51. What is the remainder when 29 is divided by c?
13
Let v be (-4)/(-18) + 191/(-9). Let a = v - -39. What is the remainder when 88 is divided by a?
16
Suppose 2*s + 4*n = 246, -3*s + 24