 - 4. Calculate the remainder when p is divided by m.
3
Let k = -52 + 118. Let p = 56 - 39. What is the remainder when k is divided by p?
15
Suppose 0 = 3*f + f. Suppose 4*l + u + 53 = f, l = -3*u - 7 + 2. Calculate the remainder when ((-12)/(-8))/((-1)/l) is divided by 11.
10
Let h(r) = -2*r**2 + 22*r - 12. What is the remainder when 45 is divided by h(9)?
21
Let w(v) = 3*v**3 - 2*v**2 + v. Let l be w(2). Suppose -b = -4*b + l. What is the remainder when 17 is divided by b?
5
Calculate the remainder when ((-36)/(-4))/(3/2) is divided by 3.
0
Let r(p) = 67*p - 1. Let q be r(1). Let k = 110 - q. Suppose 0 = -6*o + o + 75. What is the remainder when k is divided by o?
14
Suppose -h + 780 = 12*h. Calculate the remainder when h is divided by 9.
6
Suppose h = 5*s + 32, -3*h + 5*s + 7 = -59. What is the remainder when h is divided by 5?
2
Suppose -2*u + 86 = -j - j, -u = j - 35. Calculate the remainder when 76 is divided by u.
37
Let i = 6 + -4. Suppose -i*g - g = -99. Suppose 0 = -2*s - s + 4*r + 46, -2*s + g = -5*r. What is the remainder when 39 is divided by s?
11
Let m = -5 + 3. Let y = -1 - m. Calculate the remainder when 3 is divided by y.
0
Let j = -23 - -26. Suppose 4*r - 5*l - 72 = 0, -5*r + l + 90 = -j*l. Calculate the remainder when 35 is divided by r.
17
Suppose -3*w + 7 + 49 = 4*q, -w = 3*q - 27. Calculate the remainder when w is divided by 2.
0
Let c be (3/(-9))/((-1)/9). Suppose c*o - 16 = -3*t + 56, 0 = o + 2*t - 25. Calculate the remainder when o is divided by 12.
11
Suppose 0 = 3*h + 3 - 9. Suppose -a + h*a = -3*z + 7, -2*a = 2*z - 22. What is the remainder when 51 is divided by a?
12
Let w = 24 - 14. Let u be (-1)/(-2)*(0 + -2). What is the remainder when w is divided by 3 - 0 - 1/u?
2
Suppose -1435 = -5*v - 5*t, 0 = -5*v - t - 0*t + 1447. Suppose 0 = 5*a - 100 - v. What is the remainder when a is divided by 27?
24
Suppose 141 = 5*n + 31. Suppose 0*i - 3 = -3*i, 5*k = -2*i + n. What is the remainder when 7 is divided by k?
3
Suppose 5 = 11*q - 490. What is the remainder when q is divided by 16?
13
Let k = 108 + -55. Calculate the remainder when k is divided by 14.
11
Suppose 0 = -2*w - 20 + 174. Suppose -k - 51 = 3*t, 5*t - 69 = 2*k + w. Let c = k - -94. Calculate the remainder when c is divided by 11.
9
What is the remainder when (-3)/(-27) + (-805)/(-45) is divided by 10?
8
Let u(q) = 2*q. Calculate the remainder when u(2) is divided by 3.
1
Let j = 43 - 37. What is the remainder when 11 is divided by j?
5
Let k(n) = -n - 3. Let i be -6*((-24)/(-9))/2. Suppose 0 = 3*v + j - 6*j - 52, j = -3*v + 58. Calculate the remainder when v is divided by k(i).
4
Suppose -2*g + a = -4*g + 187, 2*g - 199 = -5*a. Calculate the remainder when g is divided by 31.
30
Let i(l) = -2*l**2 + 2*l + 5. Let n be i(4). Let w = n + 32. Suppose 0 = -2*q - q + 108. Calculate the remainder when q is divided by w.
10
Suppose -w + 15 = -18. Suppose 4*m = -g + 4, -13 = 5*g - 5*m - w. Suppose -3*j + j = -g*r + 40, 4 = -r - 3*j. What is the remainder when 15 is divided by r?
7
Let d be ((-14)/(-3))/(2/9). Let u = d - 8. Suppose 2 = h, -4 = 4*t - 4*h - 16. Calculate the remainder when u is divided by t.
3
Let a(l) = -59*l + 3. Calculate the remainder when a(-1) is divided by 5.
2
What is the remainder when (-4 + 7/2)*-28 is divided by 5?
4
Let x = -9 + 18. What is the remainder when 15 is divided by x?
6
Let n = 8 + 0. Suppose 4*s + 0*s - 19 = -3*i, s + 4*i - n = 0. Suppose -s*l - 75 = -9*l. Calculate the remainder when 43 is divided by l.
13
Suppose -3*w = 2*s + 2 + 4, -3*w - 3*s - 9 = 0. Let p = w - -11. Suppose 24*a - 21*a = 93. Calculate the remainder when a is divided by p.
9
Let p(k) = -3 + 5 + 3 + 2 + k. What is the remainder when 35 is divided by p(5)?
11
Let x be 31/6 - 5/30. Suppose 5*v - 4*k - 30 = 11, v - 4*k - x = 0. Calculate the remainder when v is divided by 6.
3
Let g = 45 + -32. What is the remainder when g is divided by 4?
1
Let d(g) = -g**3 - 8*g**2 - g - 5. Let t be d(-8). Suppose 0 = -v - t, -2*v = 2*k - 4*k + 34. What is the remainder when (-2)/(-7) + 556/14 is divided by k?
12
Let b be (-95)/(-2) - 2/(-4). Suppose 8 - b = -4*g. Calculate the remainder when 38 is divided by g.
8
Suppose 4*u = -4*n + 600, 466 + 283 = 5*n + 4*u. Suppose -h - n = -3*q, 5*q - 2*h - 80 = 168. Calculate the remainder when q is divided by 13.
11
Let y(z) = -4*z + 4. Let l be y(-7). Suppose 22 = 3*a - l. What is the remainder when 53 is divided by a?
17
Suppose 5*l + a - 9 = -0*a, 4*a + 12 = 4*l. Suppose l*r + 3*r = 155. Calculate the remainder when r is divided by 11.
9
Let a = 20 + -11. Suppose -3*v + 3*n - 100 = 38, 2*v - 4*n = -84. Let p = -33 - v. What is the remainder when p is divided by a?
8
Let j be ((-24)/4)/(2/(-12)). Let q be 6/(-27) - 352/j. Let f(a) = -2*a - 3. Calculate the remainder when f(q) is divided by 9.
8
Let i(x) = 20*x - 1. Suppose 5*s - 9 - 176 = 0. Calculate the remainder when s is divided by i(1).
18
Let h = -23 - -36. What is the remainder when 45 is divided by h?
6
Let z(a) = -a**3 + 9*a**2 - 3*a + 6. What is the remainder when z(8) is divided by 12?
10
Let y = 24 - -1. Suppose 3*q = 44 + y. What is the remainder when q is divided by 8?
7
Let m(r) = r**3 - 7*r**2 + 12*r - 5. Let n be m(5). Suppose -i = -2*i + n*p + 11, 2*p - 11 = -i. What is the remainder when 32 is divided by i?
10
Let r(s) = -s**2 + 7*s - 7. Let j(q) = -2*q. Calculate the remainder when j(-2) is divided by r(5).
1
Let t be ((-2)/3)/(3/729). Calculate the remainder when (-15)/(-6)*t/(-15) is divided by 7.
6
Suppose 90 = -0*a + 5*a. Calculate the remainder when a is divided by 13 - 6/(-4)*-2.
8
Calculate the remainder when 79 is divided by (-3 + 2 + -2)/(3/(-9)).
7
Let i(l) = -15*l - 3. Suppose 7 = q + 3*j, j + 3 + 2 = -4*q. What is the remainder when i(q) is divided by 10?
7
Let k = -78 - -83. Calculate the remainder when 46 is divided by k.
1
Let i = 15 - -20. Suppose 5 = 4*w - 7. Suppose 0 = -d - s + 2*s + 20, -w*d + 2*s + 58 = 0. What is the remainder when i is divided by d?
17
Calculate the remainder when 35 is divided by (3 - 0) + (0 - -16).
16
Let d(n) = 2*n**2 - 4*n - 7. Let m be d(5). Let b = m - 6. Calculate the remainder when b is divided by 6.
5
Let i = 6 + 11. What is the remainder when 65 is divided by i?
14
Let i = -37 - -44. Calculate the remainder when 124 is divided by i.
5
Suppose 0 = 5*s - 665 + 70. Let d = s + -82. What is the remainder when d - 0*(-1)/2 is divided by 13?
11
Let l = 37 + -30. Let d = -1 + 3. What is the remainder when l is divided by d?
1
Let p = 7 + -4. Suppose -36 = -p*w + w. Let f = -1 + w. Calculate the remainder when 66 is divided by f.
15
Let g(t) be the second derivative of -t**3/2 + 11*t**2/2 - 3*t. Suppose -3*u + 0*u = 30. Calculate the remainder when g(u) is divided by 14.
13
Suppose -5*z + 9 - 26 = -2*v, 2*v - 2*z = 8. Let x(f) = -2*f**3 - 2*f**2 - f. Let t be x(-1). What is the remainder when 1 - 0/(t + -2) is divided by v?
0
Suppose -5*j - 39 = -3*i, j + 52 = i + 3*i. Calculate the remainder when 61 is divided by i.
9
Suppose 5*x + 2*x = 98. What is the remainder when 27 is divided by x?
13
Calculate the remainder when (-189)/84*(0 - -2)*-14 is divided by 32.
31
Suppose 2*i = q + 7*i + 10, -5*q = 3*i + 6. Suppose 0*f - 4*f + 40 = q. What is the remainder when f is divided by 6?
4
Let t = 2 + 6. Let o = t + -4. What is the remainder when 13 is divided by o?
1
Calculate the remainder when 51 is divided by (2*-3)/((-2)/6).
15
Let o = 26 + -23. Suppose -o*l - 1 + 0 = -n, -4*n - l = -30. Calculate the remainder when 26 is divided by n.
5
Let z(i) = -i**3 - 2*i**2 - i + 38. Calculate the remainder when 188 is divided by z(0).
36
Let a(w) = -3*w - 4. Let n be a(-3). Suppose -5*g + 2 = -l, n*l - 50 = -2*g - 6. What is the remainder when 15 is divided by l?
7
Suppose m + 91 = 3*z, 0*z + z + 95 = -m. Calculate the remainder when (6/6)/((-2)/m) is divided by 12.
11
Suppose 2*j - 12 = -j. Suppose 5*i - 72 = -3*l, -j*l + 27 + 77 = 4*i. What is the remainder when l is divided by 10?
9
Let g = -25 - -44. What is the remainder when 37 is divided by g?
18
Let p be ((-5)/3)/((-2)/(-6)). What is the remainder when (-98)/p - 2/(-5) is divided by 12?
8
Let t(v) be the first derivative of v**4/4 + 7*v**3/3 - 13*v**2/2 - 11*v + 4. Calcula