
16
Let o = 1 + 23. Calculate the remainder when 110 is divided by (36/o)/(6/112).
26
Let l be 96/42 - (-2)/(-7). Suppose 0 = -p - p + 24. Let u = p - l. Calculate the remainder when 37 is divided by u.
7
Calculate the remainder when 124 is divided by (-6)/(-9) + (3 - 93/(-9)).
12
Suppose 0 = -5*k - 0 + 35. Calculate the remainder when 47 is divided by k.
5
Let s(b) be the third derivative of -b**5/60 - b**4/24 + 5*b**3/6 + b**2. What is the remainder when s(0) is divided by 2/8 - (-7)/4?
1
Suppose 4*k - 2*a = 18, 5*a = 5*k - 21 - 14. Suppose -30 = -k*z + 10. What is the remainder when z is divided by 11?
9
Let v(n) = -5*n - 5. Calculate the remainder when 68 is divided by v(-8).
33
Suppose -3*z + 112 + 20 = 0. Calculate the remainder when z is divided by 9.
8
Suppose 456 + 210 = 6*u. Calculate the remainder when u is divided by 38.
35
Suppose 51 - 40 = l. What is the remainder when 18/(-4)*40/(-6) is divided by l?
8
Suppose -2*k - 3*p + 4*p + 13 = 0, 7 = -2*k - 3*p. Suppose 3 = 4*s - k*w - 21, 0 = 3*w + 12. Calculate the remainder when 2 is divided by s.
0
Let k(s) = 10*s - 5. Calculate the remainder when 29 is divided by k(2).
14
Let k(l) = -2*l - 17. What is the remainder when 19 is divided by k(-14)?
8
Let i(j) = -12*j - 1. Let w(z) = -z + 38. Calculate the remainder when i(-5) is divided by w(18).
19
Let k = -28 - -65. Calculate the remainder when k is divided by 399/28 + (-20)/16.
11
Let w = -8 + 4. Let y(z) = z**3 + 6*z**2 + 6*z + 1. Calculate the remainder when 15 is divided by y(w).
6
Let n(l) = -20*l - 31. Let k = 75 - 31. What is the remainder when k is divided by n(-2)?
8
Let t(z) = z**3 - 3*z**2 + z - 2. Let j be t(4). Suppose -j = -0*i - 3*i. Calculate the remainder when i is divided by 3.
0
Let m = 13 - 9. Suppose -r + m = -10. What is the remainder when r is divided by 5?
4
Let f(w) = 18 - 14 + 16 - w. Suppose 0 = -c + 2*c. What is the remainder when 39 is divided by f(c)?
19
Suppose -2*q + 3*g = -46, 2*q = g + 18 + 28. Calculate the remainder when q is divided by 13.
10
Let c(y) be the third derivative of y**5/20 - y**4/12 - y**2. What is the remainder when 61 is divided by c(3)?
19
Suppose -u = -2*u + 5. Suppose -u*q + 183 = 13. Calculate the remainder when q is divided by 18.
16
Suppose -4*t + 79 - 15 = 0. Calculate the remainder when 2*-1 + -6 + t is divided by 1/(-3) + 32/6.
3
Suppose -28*c - 17 = -73. Let f be 1/(-3) + (-32)/(-6). Calculate the remainder when (1 + f/(-3))*-3 is divided by c.
0
Let s = -7 - -11. Suppose 0*f = -3*f - 6, 4*f + 144 = s*y. Calculate the remainder when y is divided by 18.
16
Let i = 0 + 5. Let u be (2 + (-4)/(-2))/1. Suppose -4*n + 42 = f + u*f, 0 = -5*n - 5*f + 55. Calculate the remainder when n is divided by i.
3
Suppose 4*p + 48 = 3*w, -2*w = -3*w - 3*p + 3. Calculate the remainder when 45 is divided by w.
9
Suppose -12 = -n - c - 3, -33 = -5*n - 2*c. Suppose k = -n + 18. Let p = -4 + 11. Calculate the remainder when k is divided by p.
6
Let m(o) = 4*o + 11. What is the remainder when 47 is divided by m(-1)?
5
What is the remainder when 81 is divided by 47 - 6 - (2 + -2)?
40
Suppose -3*g = -9, -3*g = -4*m - 12 + 155. Suppose -4*a + 92 = 5*q, 2*q + a = 5*a + 48. Calculate the remainder when m is divided by q.
18
Let t(k) = k**2 - 2*k + 3. Let c be t(2). Let q be c + 0 - (3 + -3). Calculate the remainder when 26 is divided by 9/3*q - 0.
8
Suppose 7*c + 73 = 5*p + 3*c, 0 = -3*p + c + 48. Calculate the remainder when p is divided by 5.
2
Let v = 33 - 19. Calculate the remainder when 54 is divided by v.
12
Let c = -64 + 97. Suppose c = 4*t + 5. Suppose -3*n + 34 = 5*z, 3*z + 22 = 4*n - 33. What is the remainder when n is divided by t?
6
Suppose j + m - 119 = -j, -2*m + 61 = j. What is the remainder when j is divided by 12?
11
Suppose h = 5*l + 147, 0 = 5*h - 4*l + l - 691. What is the remainder when h is divided by 28?
25
Suppose 310 = 6*c - c. Calculate the remainder when c is divided by 13.
10
Let t = 76 - 71. Calculate the remainder when 8 is divided by t.
3
Let w be (6/1)/2 - -1. Suppose 5*c - 8 = q, -w*q + 58 = c - 3*c. Calculate the remainder when 32 is divided by q.
15
Suppose -6*k + 4*v + 72 = -4*k, -9 = 3*v. Suppose -2*o + 5*n + 17 = 0, 5*o = 2*n - 0*n + 74. Calculate the remainder when k is divided by o.
14
Let y = -17 + 20. Calculate the remainder when y is divided by 1.
0
Suppose -2*n = -n. Suppose q + 15 - 49 = n. What is the remainder when q is divided by 12?
10
Calculate the remainder when 143 is divided by ((-2)/(-11) - 21/(-66))*58.
27
Suppose 0 = -4*m - 0*m - 40. Let d = -6 - m. Calculate the remainder when -2*2*(-17)/d is divided by 6.
5
Suppose -3*m - 22 + 52 = 0. What is the remainder when 27 is divided by m?
7
Let f = -33 - -64. Calculate the remainder when f is divided by 8.
7
Let s = 5 - 4. Let q = s + 42. What is the remainder when q is divided by 15?
13
Suppose 2*g - 19 = -o, 5*o = 2*g - 4*g + 63. Suppose 0*n + o = n. Calculate the remainder when ((-10)/(-15))/((-2)/(-96)) is divided by n.
10
Let b = 0 - -4. Let w = 15 - 4. What is the remainder when w is divided by b?
3
Let w(z) = -z**3 - 2*z**2 + z - 4. Let t be w(-3). Suppose t*f + 28 = 5*f - 4*d, 5*f = d + 58. Calculate the remainder when f is divided by 7.
5
Let j(z) = -z**2 + 3*z + 4. Calculate the remainder when 20 is divided by j(0).
0
Suppose 5*l - l - 60 = -5*b, 4*b = 4*l - 24. Suppose -l = -o + 2. Calculate the remainder when 23 is divided by o.
11
Let z(t) = t**3 + 8*t**2 + 3*t - 4. Let q be z(-7). Suppose 6 = -2*b + q. Suppose v = x + 25, v - 4*x - 4 = b. What is the remainder when v is divided by 8?
5
Let t = -5 - 11. Let k = t - -50. What is the remainder when k is divided by 18?
16
Let n = -16 + 28. Let c = 7 + -1. Suppose -5*x - c*d = -5*d - 30, 0 = -4*x + d + 33. What is the remainder when n is divided by x?
5
Let g(m) = m - 3. Let n(c) = -c**2 + 6*c - 2. Suppose a = 4 - 0. Let x be n(a). What is the remainder when g(x) is divided by 2?
1
Suppose w + 3 - 29 = 0. What is the remainder when 51 is divided by w?
25
Suppose 2*l - 20 = -4*b, 4*b - 6 = 5*l - 0*l. Let k = l - 0. Suppose 4*n - 5*w = 38, k*w - 7*w = 10. What is the remainder when 20 is divided by n?
6
Let h = 6 + 8. Let l = h - -17. Calculate the remainder when l is divided by 17.
14
Let s = 8 + -1. Let p = 11 - s. Suppose 0 = -a + 4, -6*t - 4 = -2*t - p*a. What is the remainder when t is divided by 2?
1
Suppose -4*j = 4*f - 0*j - 64, f = -5*j + 28. Suppose 3*d = -b + 6 + 4, 90 = 4*b + 2*d. Calculate the remainder when b is divided by f.
12
Let l(m) = 0*m**3 - 5 - m**2 + 4*m**3 - 3*m**3 + 2*m. Let w(a) = a**3 + 2*a - 6. Let p(k) = -4*l(k) + 3*w(k). What is the remainder when p(3) is divided by 3?
2
Suppose -2*o + 57 = o. Calculate the remainder when 73 is divided by o.
16
Let p(r) = r**3 + r**2 - r - 6. Let z be p(0). Let o be (z/4)/(9/132). Calculate the remainder when 29 is divided by o/(-2) - (2 - 1).
9
Let h(k) = -k**3 + 15*k**2 + 18*k - 9. Suppose 2*s = i + 36, -2*s = 3*s + i - 76. What is the remainder when h(s) is divided by 6?
5
Let f = 81 - 62. Let a = -14 + 50. What is the remainder when a is divided by f?
17
Let w(f) = -2*f - 4. Suppose -5*d = -d + 16. Let i(x) = x**3 + 3*x**2 - 6*x - 4. What is the remainder when w(-7) is divided by i(d)?
2
Let o = -34 - -51. Suppose 17 = 2*j + 7. What is the remainder when o is divided by j?
2
Let v be (-7)/((-21)/18) + -1. Suppose -v*s + 2 = -4*s. Suppose -i = 2*c - 24, s*c + 4*i - 24 = -0*i. Calculate the remainder when c is divided by 7.
5
Let q = -455 - -479. What is the remainder when 2 + 45 + (1 - 2) is divided by q?
22
Calculate the remainder when 3/(34/(-36) - -1) is divided by 19.
16
Let g(v) = 2*v + 2. Let d(m) = m + 1. Let u(j) = 5*d(j) - 3*g(j). Let r(t) = -t**3 - 3*t**2 + 5*t + 6. What is the remainder when u(-8) is divided by r(-4)?
1
Let y(a) = 2 + a + 2 + 0. Let i(l) = -l**3 - 4*l**2 + 10*l + 7. Calculate the remainder when i(-6) is divided by y(6).
9
Let c(q) = -q + 9. Let j be c(9). Suppose 0 = 5*w - 3*z - 88, z = -j*z - 1. Calculate the remainder when 31 is divided by w.
14
Suppose -25 = -5*i, -4*o = -6*o - i + 61. Suppose 0 = -3*l + 2*l + o. Suppose 0 = 4*x - 6*x + 20. What is the remainder when l is divided by x?
8
Let d(p) = -p + 8. Let a be d(6). Suppose -4*j = -a*j - 40. 