5*z = 42 - y. Calculate the remainder when z is divided by 7.
1
Let t(f) = f**3 + 6*f**2 + f + 7. Suppose -62 = -2*i - 5*v, i - v = -4*i + 128. Let n be (-9 + 0)*i/39. What is the remainder when 3 is divided by t(n)?
0
Let r = -89 - -105. What is the remainder when 76 is divided by r?
12
Let w = -1037 - -1629. What is the remainder when w is divided by 18?
16
Let b(h) = -7*h**3 + 5*h**2 + 8*h + 4. Suppose 0 = -d + 3*m - 47, -3*d - 5*m = -4*d - 57. Let l = -10 - d. Calculate the remainder when b(-2) is divided by l.
20
Let l(q) = -q**3 - 31*q**2 + q + 35. Let s = 0 - 1. Let g(k) = -2*k**3 - k**2. What is the remainder when l(-31) is divided by g(s)?
0
Let r(d) = d**2 + 4*d - 21. Let m be r(-7). Suppose m*v + 4*c = -5*v + 39, 0 = 2*c - 2. What is the remainder when 18 is divided by v?
4
Let b(k) = -k**2 + 7*k - 1. Let v be b(5). Let z(h) = -h + 3*h - v*h. What is the remainder when 52 is divided by z(-2)?
10
Let x be -5 - -5 - 3/(-1). Suppose -151 = -x*m + 266. Suppose 2*j - m - 37 = 0. Calculate the remainder when j is divided by 30.
28
Let v be 1 - (1 - 0)*-5. Let j = v + 0. What is the remainder when (-330)/75*(-14 + 9) is divided by j?
4
Suppose 22 = 2*v - 24. Suppose 0 = -2*j + j + 3, 5*q - 2*j = -331. What is the remainder when ((-44)/(-5))/((-13)/q) is divided by v?
21
Let h be 9/(-54) - 142/12. Let g = -185 - -269. Calculate the remainder when g/9 + 4/h is divided by 2.
1
Let z(s) = -2*s**3 + 19*s**2 - 8*s - 7. Let l be z(9). What is the remainder when 30/(-72)*-21 - l/(-8) is divided by 3?
0
Let d be ((-4)/9)/((-14)/63). Suppose -2*h + 8 = d. Suppose h*o - l - 19 = 13, 0 = 4*o - 2*l - 40. Calculate the remainder when 46 is divided by o.
10
Let c(t) = -4*t**2 - 3*t + 4. Let i be c(7). What is the remainder when (i/6 - -3)/((-4)/8) is divided by 34?
31
Suppose -i = -4*u - 176, 6*u = 5*u - 5. Calculate the remainder when i is divided by 6.
0
Let j = -132 + 190. Suppose 5*c - 7*c = -j. Calculate the remainder when c is divided by 10.
9
Let r be 1 - (-4 - (3 + -11)). Let g = r + 18. Let p(t) = 3*t + 1. Calculate the remainder when g is divided by p(1).
3
Suppose -2*d + 2*o + 28 = 0, 0*d - 3*o - 74 = -5*d. Suppose -3*l + 159 = -123. What is the remainder when l is divided by d?
14
Let c(w) = -4*w - 20. Let i(j) = 3*j + 18. Let n be i(-11). What is the remainder when 116 is divided by c(n)?
36
Let i(w) = w**3 - 11*w**2 + 11*w + 73. Suppose f = 5*a - 3*a - 7, 5 = a. Calculate the remainder when i(9) is divided by f.
1
Let h(j) = -j**3 + 2*j**2 - 3*j - 4. Let n be h(3). Let f = n + 40. Let g = 9 - -1. What is the remainder when f is divided by g?
8
Let c be 26 + 40 + 1 + 0 + 1. Suppose -2*b + 4*d = -c, 0*d - 26 = -b - 2*d. Calculate the remainder when 117 is divided by b.
27
Let o(q) = 2*q**2 + 3*q - 8. Let z be o(0). Let f = z - -30. What is the remainder when f is divided by 1/(-2)*0 + 8?
6
Let x = 32 + -7. Let h(q) = q**3 + 6*q**2 + 6*q - 18. Let d be h(2). Let y = x + d. Calculate the remainder when y is divided by 18.
15
Let h(u) = 11*u**2 + 9*u - 22. Calculate the remainder when 75 is divided by h(2).
35
Suppose 4*v - 69 - 19 = 0. Suppose -12*h + v = -10*h. What is the remainder when 53 is divided by h?
9
Suppose -2*d = 2*d - 28. Let o = -664 + 669. What is the remainder when d is divided by o?
2
Suppose 5 = 2*p - 3. Suppose p*z - 21 = 31. Suppose 2*d - 66 = -4*w, -2*w + 3*d + 0*d = -z. Calculate the remainder when 69 is divided by w.
13
Suppose -5*k = -5*z - 270, k + 3*k - 226 = 2*z. Calculate the remainder when k is divided by 25.
9
Suppose -35*j + 38*j = 102. Let g(v) = 19*v**3 - v**2 + 2*v - 2. Let i be (1/(-3))/((-6)/18). Calculate the remainder when j is divided by g(i).
16
Suppose 10*t = 13*t + 9, 0 = 5*c - 4*t - 47. What is the remainder when (-2)/1 + 45 + -2 is divided by c?
6
Let q be (-2)/8 + (-23)/4. Let d = -4 - q. Suppose -91*u = -93*u + 4. Calculate the remainder when d is divided by u.
0
Suppose 0*o + 243 = 2*o + 3*s, 3*o = 2*s + 345. Calculate the remainder when o is divided by 63.
54
Let f(j) = -23*j + 56. Let m be f(7). Let s = -102 - m. What is the remainder when 12 is divided by s?
0
Suppose 0 = p + 4 - 10. Suppose -2*b - 2 = -0, -2*b + 2 = 4*u. Calculate the remainder when 10 is divided by (4/p)/(u/6).
2
Suppose 145 = 5*m - 4*l, 4*m - 25 - 91 = -4*l. Suppose 0 = 5*r - 48 - 27. Calculate the remainder when m is divided by r.
14
Let p(m) = 113*m**2 - 3*m + 3. Calculate the remainder when p(1) is divided by 17.
11
Let r = -19 - 2. Suppose l - 3*a + 0*a = 48, 4*l - 4*a = 160. Let x = l + r. What is the remainder when x is divided by 10?
5
Let p(r) = -2*r - 13. Let z be 28/6*105/(-14). Let f = z + 23. What is the remainder when 20 is divided by p(f)?
9
Let m = 5586 - 5577. Suppose 3*l + 0*l = 78. What is the remainder when l is divided by m?
8
Let y be (7 + -9)/((-1)/8). Let n = 15 - y. Calculate the remainder when 51 is divided by (-13)/5*(n + -4).
12
Let u = 23 + -15. Let a = -1423 + 1443. Calculate the remainder when a is divided by u.
4
Let m(x) = -x**3 - x**2 - x + 2. Let d be m(-2). Let i be (-147)/84 - (-6)/d. Calculate the remainder when 0 + 1 + (i - -35) is divided by 9.
8
Suppose -k + 5*j + 12 = -25, 0 = -k + 3*j + 27. What is the remainder when ((-1260)/48)/(-7)*8 is divided by k?
6
Suppose -2*l - 135 = -437. Let k = l + -98. What is the remainder when k is divided by 14?
11
What is the remainder when 273 is divided by (25/60*-3)/(1/(-16))?
13
Suppose 2*y - 1483 = -3*t, -3*y + 2*t = -2*t - 2182. Suppose 5*r + 367 = i - 0*r, -5*r = -2*i + y. Calculate the remainder when i is divided by 46.
45
Let q(j) = -j**3 + 9*j**2 + 3. Let v be q(9). Let l(n) = -v - 4 + 2*n**2 - n + 6*n - n**2. What is the remainder when l(-9) is divided by 5?
4
Suppose -w + 2*c + 28 = 0, -9 + 94 = 4*w + c. Let u = 28 + -15. What is the remainder when w is divided by u?
9
Suppose -15*g + 11 = 2*g - 6*g. Let t be (-2 - (-5 + -1))/1. Suppose -3*p - 5*z = -23, 5*p + 0*p + 11 = t*z. What is the remainder when g is divided by p?
0
Let s(v) = v**3 + 7*v**2 - 4*v - 10. Let n be s(-8). Let b be (-44)/(-7) + 12/n. Suppose -126 - b = -k. Calculate the remainder when k is divided by 27.
24
Calculate the remainder when 43/(-215) + (-86)/(-5) is divided by (-2)/((-16)/18)*4.
8
Let l(g) = -7*g**3 + g**2 + 1. Let j(z) = -z**3 - 4*z**2 - 3*z. Let y be j(-2). Calculate the remainder when l(y) is divided by 24*((-15)/(-9) - 1).
13
What is the remainder when 36 is divided by 21*(0 + (-44)/(-33))?
8
Let r(f) = -f - 4. Let c be r(-12). Let s = c + 4. Suppose 33 = u + s. Calculate the remainder when 62 is divided by u.
20
Suppose -6*s + 953 = 941. Calculate the remainder when 14 is divided by s.
0
Suppose -8*i = -2*i - 126. Let t = 26 - i. Suppose 3*g = t*g - 24. What is the remainder when 23 is divided by g?
11
Suppose 0 = -2*g - 4, 4*g = -b + 12 + 66. Calculate the remainder when b is divided by 0 + 3/(-9) + 182/6.
26
Suppose -3*x = 4*p - 212, -5*x - 4*p = -0*p - 356. What is the remainder when x is divided by 37?
35
Let t be (-3)/9 + (-7)/(-3). Suppose 3*g + f = 21, -t = g - 2*g - 2*f. Calculate the remainder when 37 is divided by g.
5
Suppose 215 = 19*l - 279. Calculate the remainder when l is divided by 6.
2
What is the remainder when 226 is divided by 13/65 + 189/5?
36
Let t = -107 + 191. Calculate the remainder when 95 is divided by t.
11
Suppose 83 = -2*o + 249. What is the remainder when o is divided by 47?
36
Let q(a) = -a - 7. Let k be q(-6). Let h = 7 - k. Calculate the remainder when 23 is divided by h.
7
Suppose 17 - 112 = -5*d. Suppose f - 4*k = d, 5*f = k - 3 + 22. Suppose 2*u - 25 = -f*u. Calculate the remainder when 23 is divided by u.
3
Let d = 10 + 3. Let w = 0 + -2. Let k(b) = 9*b**2 - 2*b - 2. What is the remainder when k(w) is divided by d?
12
Calculate the remainder when 13/(-3 + (-136)/(-44)) is divided by 54.
35
Suppose 0 = 2*l - 5*f - 54, f + 53 + 36 = 5*l. What is the remainder when 63 is divided by l?
12
Let x(a) = 2*a + 18. Let k be x(-6). Suppose -8*b + 194 = -k*b. Calculate the remainder when b is divided by 25.
22
Let i(l) = -l**2 + 4*l. Let h = 648 + -645. What is the remainder when i(3) is divided by h?
0
Let r(o) = 2*o**3 - 3*o**2 - 2*o + 6. Suppose -w = w, 0 = 5*m - 4*w. Let y be 9 + -8 + m + 2. What is the remainder when 