ulate the remainder when l is divided by 12.
7
Let x(i) = 4*i**2 + 11*i + 17. Let q(r) = -r**2 - r - 1. Let z(t) = 3*q(t) + x(t). What is the remainder when 134 is divided by z(-10)?
32
Let j = 160 + -32. Suppose j = 7*x + x. Suppose -260 = -4*c - 4*w, 0*c + 3*w = c - 53. What is the remainder when c is divided by x?
14
Let t(f) = f**3 - 6*f**2 - 19*f - 17. Calculate the remainder when t(10) is divided by 30.
13
Let k = 74 + -49. Let b be 67 - -2*12/8. Suppose 0 = -s - 2*i - 1, -4*s - s + 5*i = -b. What is the remainder when k is divided by s?
7
Let d(b) = b**3 - 44*b**2 - 92*b + 114. Calculate the remainder when d(46) is divided by 14.
2
Let c be (-4)/(-16)*4*1 - 1. What is the remainder when 120 is divided by c - (-41 - 0/(-2))?
38
Let a(n) = -2*n - 9*n**2 - 31 + 10*n**2 + 8 + n. Calculate the remainder when a(7) is divided by 11.
8
Suppose -3*a + 7*a - 2*s = 88, -2*a - 5*s = -56. Suppose 3*r - 72 = -5*u, 4*u - 58 + 18 = 2*r. Calculate the remainder when a is divided by u.
11
Let v = 57 + -3. Let b(d) = 3*d - 4. Let l be b(9). Suppose -5 = -2*k + l. Calculate the remainder when v is divided by k.
12
Suppose 3*s = 2*j - 32, 2*j - s - 32 = -2*s. Let y = j + 32. What is the remainder when y is divided by 25?
23
Suppose 5*t = 2*n - 335, 3*t + 176 = 4*n - 501. Calculate the remainder when n is divided by 19.
18
Let g = 23 + -3. Let k be 363/(-99)*3*-1. Let m(i) = -i**3 + 11*i**2 + 6*i - 9. Calculate the remainder when m(k) is divided by g.
17
Suppose 5*s + p - 95 = 0, 38 + 57 = 5*s + 2*p. Suppose 92 = 2*o - 4*z, -3*o = -0*z - 3*z - 123. What is the remainder when o is divided by s?
17
Suppose -17*f = -12*f - 1430. Calculate the remainder when f is divided by 48.
46
What is the remainder when 1*(-3)/15 + (-4713)/(-15) is divided by 53?
49
Suppose 0*u - u = -3. Let a(z) = 37*z - 12. Let y be a(u). What is the remainder when 18 is divided by 1071/y + (-4)/(-22)?
7
Suppose -4*s = 2*u - 46, -5*u + 8*u - 4*s - 99 = 0. Calculate the remainder when 56 is divided by u.
27
Let u = 15 - 4. Suppose 3 = -4*f + u. Suppose -x - 12 = -f*z + x, 0 = 2*x + 4. What is the remainder when 19 is divided by z?
3
Let m(w) = -16*w**3 + w**2 + w + 1. Let i = 82 + -51. Calculate the remainder when i is divided by m(-1).
14
Let g(b) = -b**2 - 5*b + 50. Let m be g(5). Suppose m = o - 3*i - 15, o - 2*i - 8 = 11. Calculate the remainder when o is divided by 11.
5
Let s(x) = -x - 23. Let g be s(-14). Let d = 83 - g. Suppose d = 5*w + 7. Calculate the remainder when w is divided by 6.
5
Suppose 139 = 3*c - 23. Suppose 6*v = 4*v + c. Let t = -14 + v. What is the remainder when 49 is divided by t?
10
Suppose 439*b = 434*b + 220. What is the remainder when b is divided by (4/8)/((-2)/(-64))?
12
Calculate the remainder when 63/((-1 - 1)/(-2)) is divided by 17.
12
Let k be (-5)/(-15) - (866/6 + 1). Let u = -87 - k. What is the remainder when u is divided by 10?
8
Let b be 1*1*(2 + -9). Let m(l) be the second derivative of l**4/12 + 7*l**3/6 + 2*l**2 + 53*l. What is the remainder when 13 is divided by m(b)?
1
Suppose -144 = -21*o + 17*o. Calculate the remainder when 179 is divided by o.
35
Suppose 2*n + 0*n = 242. Suppose -1856 = -46*a - 430. Calculate the remainder when n is divided by a.
28
Let v = -9 - -13. Let a(u) = -u**2 + 4*u + 1. Let y be a(v). What is the remainder when 4 is divided by -6*y*(-4)/8?
1
Suppose 4*t - 4*o - 3340 = 0, -97*t + 5*o = -98*t + 811. Calculate the remainder when t is divided by 16.
15
Suppose -4*o = 5*b - 617, -b + 397 = 4*o - 232. Calculate the remainder when o is divided by 42.
32
Let w(y) = y**3 + y**2 + 5*y + 4. Let n be w(-3). Let v = 34 + n. What is the remainder when 22 is divided by v?
2
Let s be 1/(((-8)/2)/(-244)). Suppose 21 = -4*z + s. Calculate the remainder when z is divided by 3.
1
Suppose -78 = -7*i + 13. Calculate the remainder when 128 is divided by i.
11
Suppose 4*z - 1386 = -2*v, 4*v + 295 = z - 65. What is the remainder when z is divided by 10?
8
Let b = -113 - -165. Let d be (-4 - 0 - -8)/(-2). Calculate the remainder when b is divided by d - -15 - (1 - 2).
10
Let d(o) = -11*o - 8 - 14 + 22*o. Calculate the remainder when d(14) is divided by 27.
24
Let c be (3/18 - 386/12) + -4. Calculate the remainder when (c/(-8))/(-3)*328/(-6) is divided by 12.
10
Let r(n) = n - 1. Let z be r(4). Suppose -z*w + 3 = -q - 5, 14 = 3*w + 5*q. Calculate the remainder when (w - 2) + 4 + 16 is divided by 12.
9
Suppose 78 = 7*v - 4*v. Let q(f) = -2*f**3 + 19*f**2 + 4*f - 100. What is the remainder when v is divided by q(9)?
9
Let l(p) = 5*p + 91. What is the remainder when l(39) is divided by 41?
40
Let q = -397 - -599. Suppose 2690 = -12*d + 3098. What is the remainder when q is divided by d?
32
Suppose 0*d + 39 = 3*d. Let a = 39 - 34. Calculate the remainder when d is divided by a.
3
Suppose 315 = -31*n + 3446. What is the remainder when n is divided by 58?
43
Let a = -119 - -123. Suppose 0 = 4*x + 13 - 37. What is the remainder when a is divided by (-2 + x/4)*-6?
1
Suppose 8 = 2*r - 2. What is the remainder when ((-1)/(-4))/((-7)/(-392)*2) is divided by r?
2
Suppose 988 = -2*m + 40*m. Calculate the remainder when 51 is divided by m.
25
Let q = 14 - 12. Suppose q*t - 17 = -5. Calculate the remainder when -3*7*1*-1 is divided by t.
3
Suppose 0 = -o + 5*o - 248. Let l(i) = -7*i - 1. Calculate the remainder when o is divided by l(-2).
10
Let q(j) = 31*j**2 + 4*j + 10. Let t be q(-2). Let y = t - 114. What is the remainder when 59 is divided by y?
11
Let a(f) = f + 18. Let d(t) = -t**2 - 8*t + 5. Let b be d(-8). Suppose -30 = -5*s - b. Calculate the remainder when a(0) is divided by s.
3
Let g(u) = u**3 + 22*u**2 - u + 10. What is the remainder when g(-22) is divided by 13?
6
Suppose -3*f - 4*v + 13 = 0, 5*f + 8 = f + v. Let d(c) = 24*c**2. What is the remainder when -31*(-3)/(f + 4)*3 is divided by d(-1)?
21
Let z = 54 - 30. Suppose -2795 = -49*c + 586. What is the remainder when c is divided by z?
21
Let s = -5 + 40. Suppose 27 = d - s. Calculate the remainder when d is divided by 32.
30
Let p = -1350 + 1562. Calculate the remainder when p is divided by 65.
17
Let r(k) = k**3 + 16*k**2 - 16*k + 19. Let o be r(-17). Let b = 13 - o. What is the remainder when 19 is divided by b?
8
Let m = -397 + 531. What is the remainder when m is divided by 50?
34
Suppose 17*s = 12*s + 5. Let b be ((-3)/s)/(1/5). What is the remainder when -1*b/(-20)*-16 is divided by 8?
4
Suppose 9*d - 20 - 70 = 0. Calculate the remainder when 156 is divided by d.
6
Suppose 1387 = 29*m - 2296. What is the remainder when m is divided by 13?
10
Suppose -10*h + 6*h + 24 = 0. Let y = 3 + h. What is the remainder when 25 is divided by y?
7
Suppose 3*r = -r + 52. Suppose -20*k + 602 = -r*k. Calculate the remainder when k is divided by 30.
26
Let s = -3 - -7. Suppose -17*z + s*d - 12 = -22*z, 4*d = z - 12. Suppose -v - 33 = -4*v. Calculate the remainder when v is divided by z.
3
Let s = -247 - -294. What is the remainder when s is divided by 15?
2
Suppose -3*m = -31 - 95. What is the remainder when 2678/16 + (-51)/136 is divided by m?
41
Let u(s) = s + 5. Let q be u(-3). Suppose 2*a + q*y = 12, 5*y + 2 = -2*a + a. Calculate the remainder when a is divided by 7.
1
Suppose 95*w = 123*w - 20664. Calculate the remainder when w is divided by 186.
180
Let m = 40 - -22. Let z = 19 + m. What is the remainder when z is divided by 21?
18
Let f = 523 - 497. Calculate the remainder when 233 is divided by f.
25
Suppose -5*c + 16 = -4. Suppose 140 = -r + 3*r + c*i, 4*r = i + 244. Let o = 4 - -12. What is the remainder when r is divided by o?
14
Let z(g) = -27*g + 385. What is the remainder when z(11) is divided by 13?
10
Suppose 0 = -3*k + 2*a + 117, 6*k = 9*k - 5*a - 117. Calculate the remainder when 894 is divided by k.
36
Suppose -16*h + 8 = -18*h. What is the remainder when 13 is divided by (21/(-15))/(h/20)?
6
Let h(k) = k**2 + 3*k + 4. Suppose 4*l + 0*l = -24. Suppose 5*c + 16 = y, 4*y + 4*c + 2 = 3*y. Calculate the remainder when h(l) is divided by y.
4
Let v(k) = 8*k + 52*k**2 - 28*k + 10*k + 8*k. Calculate the remainder when v(-1) is divided by 14.
12
Let d = 9 - -11. Let c = 8 + 30. What is the remainder when c is divided by d?
18
Calculate the remainder when 63 - (-6)/(-18)*-9 is divided by 