) is divided by 7.
4
Suppose 2 = h + 4*t, 2*t - 13 = 5*h - t. Let m(b) = -3*b**3 - b**2 + b - 2. Suppose 2*r + 0 = 12. Calculate the remainder when m(h) is divided by r.
4
Suppose 5*h = -p + 287, -2*h - 4*p = -h - 46. Calculate the remainder when h is divided by 15.
13
Let t(l) = l**3 - 5*l**2 + 2*l + 1. Let o(m) = -m**2 - m + 64. Let w be o(0). Suppose -4*r + 6*r = w. What is the remainder when r is divided by t(5)?
10
What is the remainder when 30 is divided by (-3432)/(-154) - (-4)/(-14)?
8
Let k(o) = -3*o + 5. Calculate the remainder when 54 is divided by k(-3).
12
Suppose 3*b - 117 = -4*z, 5*z = -2*b + 66 + 19. What is the remainder when b is divided by 19?
16
Let v(l) = l**2 - 4*l. Calculate the remainder when 44 is divided by v(5).
4
Let f = -14 - -28. What is the remainder when 25 is divided by f?
11
Calculate the remainder when 18 is divided by ((-9)/((-27)/60))/2.
8
Suppose -12 + 30 = 2*c. Let a = 23 - c. What is the remainder when 54 is divided by a?
12
Let s = 18 + -16. Suppose -20 = r + 13. Calculate the remainder when 42 is divided by r/(-6)*s - 0.
9
Let k = 0 - 4. Let s = k - -6. Calculate the remainder when 5 is divided by s.
1
Let j(m) = -41*m**2 + 3*m + 2. Let q be j(-1). What is the remainder when (-2198)/q + (-2)/6 is divided by 18?
16
Suppose q + 4*q - j - 84 = 0, -4*j - 16 = 0. Let v = 4 + -5. What is the remainder when 29 + (0 + v)/(-1) is divided by q?
14
Let x(l) = l**3 - 9*l**2 - 6*l - 4. Let z be x(10). Let p(n) = -n - 2. Let j be p(-5). Suppose -j*u = -0*u - z. Calculate the remainder when 35 is divided by u.
11
Let c(o) = -o**3 + 22*o**2 + 3*o - 39. What is the remainder when 106 is divided by c(22)?
25
Suppose -3*j - 35 = -3*d - 11, d - 32 = -5*j. Suppose 20 = -5*h - 25. Calculate the remainder when 46*(-1 - h/6) is divided by d.
11
Suppose -279 - 78 = -7*i. Let h = 30 + -21. Calculate the remainder when i is divided by h.
6
Let d(a) = -a**2 - 5*a. Let t be d(-5). Let n(s) = s**2 - 6*s + 6. Calculate the remainder when 0/(-3) + 11 + t is divided by n(6).
5
Let s = 36 + -30. Let r(q) = 5*q. What is the remainder when r(2) is divided by s?
4
Let q = 7 - -1. Calculate the remainder when (17/12 - (-16)/64)*18 is divided by q.
6
Let j be -2 + 9 - 0 - 0. Let o = j + 6. Let t = 152 - 115. Calculate the remainder when t is divided by o.
11
Suppose -2*n = 3*b - 49, -51 = -b - 4*n - 18. Let h(l) = -l**3 - 5*l**2 - 5*l. Let x be h(-4). What is the remainder when ((-8)/(-12))/(x/216) is divided by b?
10
Suppose 0 = p - 55 + 12. Calculate the remainder when p is divided by (-44)/(-3) - (-2)/6.
13
Let x = 73 - 46. Calculate the remainder when 80 is divided by x.
26
Let j = 24 + -13. Let o be ((-20)/(-25))/((-6)/195). Let z = 15 - o. What is the remainder when z is divided by j?
8
Suppose -544 = -5*c + 2*x - 6*x, -c - x + 109 = 0. Let q = c - 35. Suppose 4 = -4*u, 3*i - 28 = 2*i + 3*u. Calculate the remainder when q is divided by i.
23
Let u(b) = b + 15. Calculate the remainder when 56 is divided by u(0).
11
Let i = 85 + -51. Let d = -8 + 17. Calculate the remainder when i is divided by d.
7
Let n(u) = -2*u**3 + 4*u**2 - 3*u + 2. Let o be n(2). Let m = o - -4. Suppose -2*v = -m - 2. What is the remainder when v is divided by 1?
0
Let q = 11 - 1. Calculate the remainder when q is divided by 3.
1
Let f(z) = 23*z. What is the remainder when f(1) is divided by 5?
3
Suppose -8*i + 11*i - 30 = 0. Suppose -6*w + 5*w = -39. Calculate the remainder when w is divided by i.
9
What is the remainder when (-346)/(-18) - (-14)/(-63) is divided by 7?
5
Let x(c) = 2*c**3 + 4*c**2 - 12*c + 1. Let f(p) = 29*p. Let u be f(2). Suppose u = 5*a - 37. What is the remainder when x(3) is divided by a?
17
Suppose 25 = 4*h - 3*z + 2*z, 3*z + 20 = h. Calculate the remainder when 28 is divided by h.
3
Suppose 25*l - 6*l - 342 = 0. Calculate the remainder when 49 is divided by l.
13
Let y = -103 - -153. Let b = y - 31. What is the remainder when 36 is divided by b?
17
Suppose -4*a + 5 - 15 = 5*g, -g = 2*a + 8. Let j = -3 - -2. Let n = 5 + j. What is the remainder when n is divided by g?
0
Let h(k) = -k**3 + 3*k**2 - k. Let q be 1/(-2 + 1) + -3. Let x be (-10)/q - 2/4. What is the remainder when 4 is divided by h(x)?
0
Let k = 3 - -1. Calculate the remainder when 6/(-3) + k + 1 is divided by 10/4 - 3/6.
1
Suppose 0*o - 43 = -o. Calculate the remainder when o is divided by 11.
10
Suppose -z + 2*f = -8, 2*z - 3*z + 4*f + 18 = 0. Let j be (28/10 + z)*-10. Let o = j - -58. Calculate the remainder when o is divided by 17.
16
Suppose a = 1 + 26. Calculate the remainder when a is divided by 10.
7
Suppose -4*n - 5*m + 5 = 29, 5*m - 53 = 3*n. Let r = n - -13. Suppose 4*x + 2 - 14 = 4*d, -18 = 2*d - 5*x. Calculate the remainder when r is divided by d.
0
Let n = 6 + 28. Calculate the remainder when n is divided by 18.
16
Let w(c) = c**3 + 3*c**2 + 2*c + 3. Let n be w(-3). Let s(d) = -d**3 - d**2 + 5*d + 3. What is the remainder when 22 is divided by s(n)?
4
What is the remainder when (4 + 99/(-6))/(3/(-6)) is divided by 9?
7
Suppose -4*j + 132 - 28 = 0. Calculate the remainder when j is divided by 7.
5
Let s = -70 + 109. What is the remainder when s is divided by 11?
6
Suppose 0 = -4*x - 14 + 94. Calculate the remainder when 30 is divided by x.
10
Let i(o) = -o**3 + 3*o**2 + 4*o - 1. What is the remainder when i(-3) is divided by 21?
20
Let q(o) = -120*o + 5. Calculate the remainder when q(-1) is divided by 18.
17
Suppose 5*m = 2*l + 40, 5*m + 5*l = -0*m + 40. What is the remainder when 29 is divided by m?
5
Let z(l) = -l**3 - 11*l**2 - 15*l - 35. Calculate the remainder when 119 is divided by z(-10).
14
Suppose -2*a = 3*a - 5*z + 5, -5*a + 4*z - 5 = 0. Let k = a + 5. What is the remainder when 11 is divided by k?
3
Suppose a - 4*a = -m + 68, -179 = -3*m + 4*a. Calculate the remainder when m is divided by 14.
11
Let b(k) = -k + 10. Let l(i) = 3*i - 19. Let t(q) = 5*b(q) + 3*l(q). Suppose 0*g - 36 = -4*g. What is the remainder when t(6) is divided by g?
8
Let b = -16 + 10. Let a(f) = -6*f - 3. Calculate the remainder when a(b) is divided by 18.
15
Let l = 8 - -31. What is the remainder when 114 is divided by l?
36
Let s(w) be the first derivative of -6*w**2 + w + 1. Let j be (-3)/12*1*4. What is the remainder when 38 is divided by s(j)?
12
Suppose -8*b = -0*b - 112. Calculate the remainder when 67 is divided by b.
11
Let z = -32 - -46. Calculate the remainder when z is divided by 8.
6
Suppose 2*y = 4 + 18. Let h(n) = -n**2 + 10*n + 12. Let p(l) = l**3 + 4*l**2 - 6*l - 2. What is the remainder when p(-5) is divided by h(y)?
0
Let a(b) = b**3 - 5*b**2 - 4*b - 8. Let y be a(6). Suppose 4*g - t - 90 = -g, -t + 72 = y*g. Let s = 11 + g. What is the remainder when s is divided by 10?
9
Let f be 0*-1*(-3)/(-6). Let c be 2/1 + (9 - f). Suppose 0 = 4*v - 1 - c. Calculate the remainder when 5 is divided by v.
2
Let u(t) = -t**2 - 10*t - 10. What is the remainder when u(-4) is divided by 4?
2
Let k = -17 - -55. Suppose 2*w = 5*s + 10 - k, 3*s = 3*w + 24. Let q = 4 - -3. What is the remainder when q is divided by s?
3
Let u be (-178)/(-15) - 14/(-105). Suppose 2*l + 3*l = n + 17, -5*n + 15 = 0. Calculate the remainder when 4 is divided by (2/l)/(2/u).
1
Suppose -2*f - 10 = -3*f. Suppose 0*r - 2*t + 13 = r, -5*t = f. Suppose -2*n - 17 - 3 = -2*d, -d + 5*n = -14. Calculate the remainder when r is divided by d.
8
What is the remainder when 72 is divided by 3*(-57)/(-9) + 0/5?
15
Let l be (0 - -3) + (-2)/(-1). Suppose -4*b - 5 = -l*b. What is the remainder when b is divided by 3?
2
Suppose -h = -2*h + 4. Suppose -4*b + 5*t = -203, 7*b - 2*t - 147 = h*b. Suppose -7*k + 5*k + 32 = 0. What is the remainder when b is divided by k?
15
Suppose 16 = t + 4*a, -t - 4*t - 5*a + 35 = 0. Let f(w) = -w**2 - w + 5. Let r be f(t). What is the remainder when (16/(-6) + 0)*r is divided by 14?
12
Let v be 10/(-2 - -4) + -3. Let w(j) = j**3 + j**2 + 3 - 4*j + v*j**2 + 0*j**2. Calculate the remainder when 28 is divided by w(2).
13
Let z(t) = 3*t + 17. Calculate the remainder when 14 is divided by z(-4).
4
Suppose -z + 42 = 9. What is the remainder when z is divided by 6?
3
Let l be 3 - (-6)/(-2 - 1). Suppose v - 6 - l = 0. Calculate the remainder when 12 is divided by v.
5
Let k(u) be the second deriva