
33
Suppose 4*r = -5*a + 2116, -3*a - 60*r = -55*r - 1267. What is the remainder when a is divided by 43?
37
Suppose 0 = -3*q + 3*i - 4*i + 9, -15 = -5*i. Let p be q/(-1)*(-6)/4. Let c(a) = 3*a + 4. What is the remainder when 36 is divided by c(p)?
10
Suppose -3*t = -3*k - 5 - 1, 3*t + 3*k - 36 = 0. Let f(g) = -g**3 + g**2 + 8. Let r be f(0). What is the remainder when 54/8*r/3 is divided by t?
4
Suppose -104 = -5*v + g, g = -3*v + 7 + 49. Let p = 27 + 49. What is the remainder when p is divided by v?
16
Let v(k) = k**3 - k**2 - 5. Let z be v(0). Let g(f) = 4*f - 4*f**2 - 5 - 40*f**3 + f**2 + 39*f**3. Calculate the remainder when g(z) is divided by 7.
4
Suppose -172 - 218 = -6*j. Calculate the remainder when j is divided by 23.
19
Suppose -36 = 4*k + 72. Suppose -4*i + 29 = 4*l - 127, i - 40 = -2*l. Let v = i + k. What is the remainder when 52 is divided by v?
8
Let m = 94 + -27. Let c = 1022 - 987. Calculate the remainder when m is divided by c.
32
Let x(r) = r**2 - 113*r + 705. What is the remainder when 1259 is divided by x(6)?
62
Let u(b) = -4*b**2 - 2*b + 1 + b**2 - 4*b**3 + 3*b**3. Let d = -18 - -15. What is the remainder when 25 is divided by u(d)?
4
Let m(s) = -s**3 + 2*s**2 - 6*s + 7. Let p be m(2). Calculate the remainder when 201 is divided by (3 + -2 - -52) + (p - -3).
48
Let p be -1 + (-12)/(-16)*4. Suppose -72 = -0*u - p*u. Suppose 3*r = -2*h + 49, 3*r = -0*h + 3*h - u. What is the remainder when 67 is divided by h?
16
Let m be 4/7 - ((-3654)/(-49) - -8). Calculate the remainder when 120 is divided by m/3*(-3)/2.
38
Let h = 40 + -30. Let v(g) = -g**3 + 11*g**2 - 6*g + 14. What is the remainder when v(h) is divided by 11?
10
Let b(n) = n**3 + 5*n**2 + 3*n + 4. Let c(f) = 91*f - 526. What is the remainder when c(6) is divided by b(-4)?
4
Suppose -10 - 11 = -3*a. Suppose -5*p + 0*s + 4*s - 3 = 0, -4*p - 4*s + 12 = 0. What is the remainder when (-10)/45 - (616/(-18))/p is divided by a?
6
Suppose 0 = -2*d - 3*c - 11, -c = -2*d - 4 - 11. Let t be 2/7 + (-775)/d. Suppose 4*u - 9 - t = 0. Calculate the remainder when u is divided by 17.
13
Suppose -3*f - 258 = 3*n, -2*n - 106 - 152 = 3*f. Let a = 130 + f. Calculate the remainder when a is divided by 9.
8
Suppose 0 = 4*l - 4*s - 2208, -l - 8*s + 10*s = -553. What is the remainder when l is divided by 24?
23
Suppose -p - 4*p = -145. Let g = -1332 + 1445. Calculate the remainder when g is divided by p.
26
Let p(r) = r**3 - 6*r**2 + 2*r + 5. Let o be p(4). Let h = -8 - o. Calculate the remainder when (-4 - -2) + 132/3 is divided by h.
9
Suppose -64*x + k - 50 = -69*x, -4*x - 3*k + 29 = 0. Calculate the remainder when x is divided by (-75)/(-10) - 2/4.
4
Suppose 108 = -11*o + 1098. Calculate the remainder when o is divided by 69.
21
Suppose -3*b + 3 = 9. What is the remainder when 38 is divided by -7*(64/28)/b?
6
Let j(k) = 21*k - 131. What is the remainder when 145 is divided by j(8)?
34
Suppose 0 = -5*z - 3*b - 50 - 19, 4*z - b = -45. What is the remainder when 32*14/(-24)*-3 is divided by ((-6)/(-4))/(z/(-232))?
27
Suppose 54*g + 8*g - 1116 = 0. Suppose -u + 168 = u. Calculate the remainder when u is divided by g.
12
Suppose p - 793 = 3*u, 5*u - 3*p - p = -1310. Let d = -3 + 5. What is the remainder when u/(-28)*d*1 is divided by 7?
5
Suppose -3*u = -5*z + 18, 0 = 3*z + 4*u - 0*u - 34. Let v = 4 + z. What is the remainder when 3/(-9) + 88/3 is divided by v?
9
Suppose -524 = -3*f - 5*u, -5*f - 2*u + 180 + 706 = 0. Calculate the remainder when f is divided by 9.
7
Let t(w) = -w**3 + 3*w**2 + 14. Let s be t(3). Let k(q) = 2*q**3 - 5*q**2 - 3*q - 3. What is the remainder when k(4) is divided by -2 + (56/10)/(s/35)?
9
Suppose -6 = -3*n + 2*n. Suppose n*p = 4*p - 14. Let b(o) = o**3 + 8*o**2 + 4*o - 2. Calculate the remainder when b(p) is divided by 10.
9
Let q be (-3)/((-54)/14 - -4). Let d = q + 50. Calculate the remainder when 84 is divided by d.
26
Let p(w) be the first derivative of w**4/4 - 2*w**3 + 3*w**2 + 4*w + 2. Let f = -32 + 37. What is the remainder when 33 is divided by p(f)?
6
Suppose 0 = -43*z + 84*z - 1599. Calculate the remainder when 230 is divided by z.
35
Let p = -1575 + 1698. What is the remainder when p is divided by 17?
4
Let r(n) = -24*n + 1. Suppose 4*s + 2*z = 2*s, 3*s + 4 = -4*z. Suppose s*a - 67 - 225 = 0. Calculate the remainder when a is divided by r(-1).
23
Calculate the remainder when 3 + 4*180 - 5 is divided by 20.
18
Let a = 2 - -1. Suppose 2*i + a*i - l = 62, 5*i + l = 68. Calculate the remainder when 23 is divided by i.
10
Let v(d) = -d**2 - 24*d - 109. Calculate the remainder when 38 is divided by v(-17).
8
Let p be (10 + -12)/(4/(-46)). Let r = 19 - p. Let b = 7 + r. Calculate the remainder when 6 is divided by b.
0
Suppose 3*g - 20 = -g. Let r(j) = 7*j. Let n be r(-5). Let m = n - -43. What is the remainder when m is divided by g?
3
Let l = 8 + 0. Let o(n) be the third derivative of n**6/120 - 7*n**5/60 - 7*n**4/24 + 5*n**3/6 + 105*n**2. Calculate the remainder when o(l) is divided by 8.
5
Suppose -10*z = 5*w - 12*z - 366, -10 = -5*z. What is the remainder when 291 is divided by w?
69
Let a(g) = 32*g**2 + 142*g - 2. Calculate the remainder when 179 is divided by a(-5).
3
Let z = -55 - -47. Let s(a) = -a**2 - 14*a - 17. Calculate the remainder when 118 is divided by s(z).
25
Suppose -f + 0*f - 4 = 0, 4*u + 4*f = 176. Suppose -2*x = -4*w + 4 - u, 3*x = -w - 18. Let a(i) = -4*i + 3. What is the remainder when a(w) is divided by 18?
15
Suppose 8*z = 5803 - 1387. Calculate the remainder when z is divided by 15.
12
Let b(m) = 6 - 62*m + 9*m + 0*m + 14*m. Calculate the remainder when b(-2) is divided by 22.
18
Suppose 3*r - 10 = -1. Suppose -r*g - 2*g = -50. Let v(j) = j**3 - 10*j**2 + j + 9. What is the remainder when v(g) is divided by 11?
8
Suppose -128 = -2*x - 6*x. Let u(g) = -60*g**3 + g**2 - g - 1. What is the remainder when u(-1) is divided by x?
13
Let y be (4 + -8 - -2) + 212. What is the remainder when 28 is divided by (y/56)/(6/16)?
8
Let c(g) = 7*g**2 - 6*g + 17. Let o = 138 - 131. Calculate the remainder when c(o) is divided by 64.
62
Let h(x) = -3*x**2 + 85*x - 34. What is the remainder when h(27) is divided by 13?
9
Let k = 11 - -37. Suppose 4*q - k = -2*j, 0 = -5*j - 5*q + 164 - 24. Calculate the remainder when 93 is divided by j.
29
Let u be 2/(1 + 9/(-6)). Let y(b) = b**3 + 4*b**2 - 5*b - 5. Let k = -5 + 11. Calculate the remainder when y(u) is divided by k.
3
Let n(m) = m**2 - 12*m + 6. Calculate the remainder when n(14) is divided by 22.
12
Suppose -74*t = -79*t + 20. Suppose -4*g + 10 = 2*w - 0*w, -2*g + 41 = 5*w. What is the remainder when w is divided by t?
1
Suppose 3*i - 5*b + 9 - 34 = 0, -25 = 4*i + 5*b. Suppose 7*f - 30 - 110 = i. Calculate the remainder when 55 is divided by f.
15
Let w = 1 - 7. Let i = 11 + w. Suppose -4*r = -0*r + 2*v - 38, -4*r + 23 = i*v. Calculate the remainder when 35 is divided by r.
11
Let z = -84 + 94. Let x(p) = -p + 25. What is the remainder when 58 is divided by x(z)?
13
Suppose -g - 2*t - t = -8, 14 = 5*g + 2*t. What is the remainder when (4/6)/(g/63) is divided by 11?
10
Suppose 379*k - 357 = 376*k. What is the remainder when k is divided by 34?
17
Let k = -17 - -26. Let l(x) = x**2 - 4*x + 3. Let g be l(k). Suppose 0 = -3*y + 2*n + 92, -2*y + 3*y = 5*n + g. Calculate the remainder when 55 is divided by y.
27
Suppose 0*i - 2*k = 3*i - 71, -2*i = 5*k - 40. Let j = -35 + i. Let s = j - -15. Calculate the remainder when 19 is divided by s.
4
Let w(r) = 3*r**2 - 5*r + 1. Let t be w(8). Suppose -99 = a - 0*a + k, -2*a - 216 = -4*k. Let f = t + a. What is the remainder when f is divided by 26?
25
Let b be 2 - -5 - (1 - (3 - 3)). Suppose b*p - p - 165 = 0. Let h(i) = 19*i**2 + i. Calculate the remainder when p is divided by h(-1).
15
Suppose -5*q - 2*l + 8 = 0, -5*l - 4 - 1 = 0. What is the remainder when -813*(-8)/180 + q/(-15) is divided by 13?
10
Let t(s) = 4*s**2 + 8*s - 15. What is the remainder when t(6) is divided by 26?
21
Suppose 4*h + 3*x + 48 = 0, -5*h - 8 = 3*x + 49. Let q = h + 14. Let a(c) = 4*c + 2. What is the remainder when a(3) is divided by q?
4
Suppose -662 - 2758 = -15*f. What is the remainder when f is divided by 78?
72
Let g(y) = -y**3 - 33*y**2 - 2*y + 211. What is the remainder whe