7.
6
Suppose -3*i + 14 = -i + 2*f, 4*f = 0. Calculate the remainder when 18 is divided by i.
4
Suppose -1 + 3 = j, -5*j + 1 = q. Calculate the remainder when 6*((-75)/q + -3) is divided by 11.
10
Calculate the remainder when 71 is divided by 1/((-105)/54 + 2).
17
Let p be -4 + 6 + (0 - 5). Let o(u) = u**3 + 3*u**2 - 2*u + 1. Suppose d - 86 = -5*w, 3*w + 88 = 7*w - 4*d. What is the remainder when w is divided by o(p)?
4
Let t = -47 + 80. Calculate the remainder when t is divided by 9.
6
Let p(k) = 8*k**2 + 4*k - 4. Let l be p(3). Let i = l + -39. What is the remainder when i is divided by 14?
13
Let v = 43 - 28. Calculate the remainder when 57 is divided by v.
12
Let h(n) = -22*n. Let r be h(-3). Calculate the remainder when r/3 + -3 - 2 is divided by 5.
2
Let s = 279 + -189. Let c = -40 + s. What is the remainder when c is divided by 17?
16
Let k(j) = j**3 - 7*j**2 + j - 2. Let s be k(7). Suppose 0*t - t = 5*q - 15, -25 = -2*t - s*q. Let g = -3 + t. Calculate the remainder when 25 is divided by g.
4
Suppose -3*q = 4*f - 33 - 14, 2*f - 25 = -3*q. What is the remainder when (-2*19)/(0 - 2) is divided by f?
8
Suppose 4*m - 19 = 137. Calculate the remainder when 114 is divided by m.
36
Suppose 3*a + 4*n - 57 = 0, -4*a + 39 = -4*n - 37. Let y = 28 - a. Calculate the remainder when y is divided by (3 - 1)/((-8)/(-20)).
4
Let u = 9 - 4. Suppose -3*v + v - 5*i + 24 = 0, 5*v = 2*i + 31. What is the remainder when -30*(u/(-3) + 1) is divided by v?
6
Let x = -2 - -3. Let l be (-5)/(-10) + x/(-2). Suppose l = -w - w + 58. Calculate the remainder when w is divided by 10.
9
Let n(l) = -l - 1 - 4 - 2 - 5*l. Calculate the remainder when n(-6) is divided by 10.
9
Suppose 4*o = 3*o + 38. Suppose -j = -o + 12. Calculate the remainder when j is divided by 7.
5
Let w(n) = 19*n**2 - 3*n - 1. What is the remainder when w(-2) is divided by 23?
12
Calculate the remainder when 121 - (0 - (-7)/(14/(-4))) is divided by 42.
39
Suppose 2*t - 38 = -3*t + u, 3*u + 9 = 0. What is the remainder when 54 is divided by t?
5
Let k(q) = q**2 + q + 10. Let p be k(0). What is the remainder when 24 is divided by p/55 + (-141)/(-11)?
11
Let w = 2 - -1. Suppose -2*h = -25 + w. What is the remainder when 20 is divided by h?
9
Let o(t) = t + 7. Let r be o(-7). Suppose r = 4*c - 76. What is the remainder when c is divided by 5?
4
Suppose -2*f - f = 5*j - 76, f + 2*j - 26 = 0. Calculate the remainder when (-1 - 3 - -3)*-65 is divided by f.
21
Suppose 4*f - 11 = 1. Suppose 0*g = 2*g + 6. What is the remainder when g + 2 + 8 - -1 is divided by f?
2
Let x(r) = -2*r + 3. Let i(l) = -l + 2. Let d be 2/4 + 90/(-12). Let o(z) = d*i(z) + 3*x(z). What is the remainder when o(9) is divided by 2?
0
Suppose -1 = n + 2. What is the remainder when (2/3)/((-1)/(-3)) is divided by 2 - (n + (4 - 1))?
0
Let o(h) = -3*h - 1. Let d = -3 - 0. Calculate the remainder when 31 is divided by o(d).
7
Let b(k) = k**2 - 3*k - 1. Calculate the remainder when b(-3) is divided by 6.
5
Calculate the remainder when 60 is divided by (-4)/(-16) + 108/16.
4
Suppose -2*b = -10 + 2. Let g = -17 + 5. What is the remainder when 3 + -2 - 3 - g is divided by b?
2
Let a = 29 - 8. Calculate the remainder when 39 is divided by a.
18
Suppose 2*h + 41 = z, 193 = 5*z + 2*h - 0*h. Calculate the remainder when z is divided by 15.
9
Let o(j) be the first derivative of 2*j**3/3 - 5*j**2/2 + 3*j - 3. Calculate the remainder when 44 is divided by o(4).
14
Suppose 20 = -2*b + 6*b. Suppose 3*m = -b*w - 16, 0 = 3*w - w - 2*m. Let t = 6 + w. What is the remainder when 14 is divided by t?
2
Let c(y) = -y**3 + 3*y**2 - 2*y. Let n(v) = -3*v**3 + 6*v**2 - 3*v + 1. Let f(j) = 5*c(j) - 2*n(j). What is the remainder when 17 is divided by f(-3)?
7
Suppose -11*l + 1152 = -3*l. Calculate the remainder when l is divided by 29.
28
Let j(p) = -24*p - 3. Calculate the remainder when j(-2) is divided by 16.
13
Suppose -5*o + 5 = -10*o. What is the remainder when o - (-56)/2 - 1 is divided by 14?
12
Suppose -h + 5*h = -296. Suppose f - 1 = 34. Calculate the remainder when f is divided by 1/(-3) - h/6.
11
Let v = 24 + 96. Suppose 2*t = -i - 0*t + 15, -5*i - t + v = 0. Calculate the remainder when i is divided by 9.
7
Calculate the remainder when 90/(-12)*(-36)/10 is divided by 5.
2
Let d(h) = h**3 - 7*h**2 + 3*h + 26. What is the remainder when 45 is divided by d(6)?
5
What is the remainder when 126 is divided by ((-88)/(-12))/(1/6)?
38
Let g be (-4)/14 + (-116)/(-14). Let z(w) = w**2 + 6*w - 2. Let k be z(-7). Suppose -k*u = -17 - g. What is the remainder when u is divided by 2?
1
What is the remainder when (-476)/(-6) + 8/12 is divided by 27?
26
Let u = 32 + -17. Let m = -7 + u. Suppose -16 = -c + m. What is the remainder when 70 is divided by c?
22
Suppose 160 = c + 3*c. Let w(t) = -13*t**3 - t. Calculate the remainder when c is divided by w(-1).
12
Suppose -18 = -9*b + 3*b. Calculate the remainder when 14 is divided by b.
2
Suppose 37 = d + 2*d - 4*c, 0 = c - 2. What is the remainder when 284 is divided by d?
14
Suppose 5*x - 403 = -2*p, -3*p + 206 = 5*x - 196. What is the remainder when x is divided by 22?
15
Let q(d) = -2*d - 3 + 6*d - 4 - 2*d. Let w be q(6). Suppose t + t - 27 = 5*p, -w*t = 3*p - 83. Calculate the remainder when t is divided by 9.
7
Let j be 3/((-6)/(-5) - 1). Let w = j - 2. Suppose -3*t + 2*z = -23, -5*z + 2 = -4*t + 5*t. Calculate the remainder when w is divided by t.
6
Let d = -16 + 11. Let r(x) = -8*x + 3. Let p(j) = -j**3 - 3*j**2 + 8*j + 5. What is the remainder when r(d) is divided by p(-5)?
13
Let l(v) = v - 1. Let t be l(3). Let y = 4 - t. Suppose 4*a - 107 - 11 = 3*c, -a = y*c - 24. What is the remainder when a is divided by 10?
8
Let r = 0 - -13. Calculate the remainder when 25 is divided by r.
12
Let n(l) = 8*l - 1. Let k be n(6). Let q = k + -20. Calculate the remainder when q is divided by 8/6*(2 + 22/4).
7
Suppose 4*j - 22 - 10 = 0. Calculate the remainder when 70 is divided by j.
6
Suppose -3*s + 4 = s. Let h be (s - 6)/(1 - 2). Suppose -5*u + 3*f = -220, 3*u + h*f - 42 - 124 = 0. Calculate the remainder when u is divided by 16.
15
Let x be 32/14 - 14/49. Suppose -3*w = y - 5*y + 121, -x*y = w - 63. What is the remainder when y is divided by 8?
7
Let j(t) = -t**3 + 10*t**2 + 4*t - 3. Calculate the remainder when 107 is divided by j(10).
33
Let o be (-2)/9 + 870/27. Suppose 0 = -4*p + 5*p - o. Suppose -3*f = -6, 6*a = a - f + p. What is the remainder when 17 is divided by a?
5
Suppose 0 = -h + 12 + 9. Let c be 1/(0 - (-1)/6). Let n = 6 + c. Calculate the remainder when h is divided by n.
9
Suppose 3*n + 0 + 3 = 0, 37 = f - 2*n. Let u(q) = -q**3 - 6*q**2 + 3*q - 10. Let d = -9 - -2. Calculate the remainder when f is divided by u(d).
17
Suppose 0 = -m, -m = 4*j + 4*m - 312. Calculate the remainder when j is divided by (1 + 1)/((-2)/(-20)).
18
Suppose -24*n - 395 = -29*n. What is the remainder when n is divided by 27?
25
Let p = 3 - 1. Suppose -6*v + 6 = -24. What is the remainder when v is divided by p?
1
Suppose 2*u + 0*u = 4*y - 34, 0 = -2*y - u + 19. Let v = 1 + 3. Suppose 0 = -l - v*r, 5*l = -3*r + 4*r + 84. What is the remainder when l is divided by y?
7
Suppose y = -5*x + 69, -55 = -4*x - y - 0. Let p be 2/4 - 1/2. Suppose -3*k - k + 32 = p. What is the remainder when x is divided by k?
6
Let j(z) = z**3 + 9*z**2 - 1. What is the remainder when j(-4) is divided by 20?
19
Suppose -260 = -14*m + 4*m. Suppose -2*p = 5*k - 43, -2*k = -4*k + 4*p + 22. Calculate the remainder when m is divided by k.
8
Let i = -3 - -5. What is the remainder when 11 is divided by 36/3*i/4?
5
Let r(b) = -b**3 - 10*b**2 - 11*b + 3. What is the remainder when 396/10 + 2/5 is divided by r(-9)?
19
What is the remainder when 225 is divided by (1 + -3)*-9 + 1?
16
Suppose 4*n + 0*n + 5*y = 33, 0 = 5*n - 5*y + 15. Suppose -40 = -4*k + n*k. What is the remainder when 58 is divided by k?
18
Let u(j) = 2*j**3 - 2*j**2 - 3*j + 3. Let y be u(2). Let b(z) = 16*z + 10. Let t be b(7). Suppose -t = -y*w - 17. What is the remainder when 61 is divided by w?
19
Suppose -7*n + 127 = -6. What is the remainder when 168 is divided by n?
16
Let l be (3 - (1 - -5))*-1. Suppose -20 = -l*q - 8. What is the remainder when 7 is divided by q?
3
Let m(a) = a**3 + 5*a**2 - a