- 5*x + 1. Calculate the remainder when 18 is divided by m(h).
4
Let k = 36 + -24. Suppose -5*a + 3*a = 3*t - 150, -148 = -2*a - 4*t. Suppose 8 = -2*w + a. Calculate the remainder when w is divided by k.
11
Let n be 2 + (1 - 1) - 7. Let j(y) = -2*y + 2. What is the remainder when (-52)/(-6)*(n - -8) is divided by j(-6)?
12
Let h(r) be the third derivative of r**6/120 - r**5/30 + r**4/8 - r**3/3 - 4*r**2. Let b be h(3). What is the remainder when (-10)/5*(0 - b) is divided by 17?
15
Let r(s) = 14*s - 3. Let i = 1 - -2. What is the remainder when r(1) is divided by i?
2
Suppose -3*t + 43 = 5*d - 1, 0 = 3*d - 5*t - 40. Calculate the remainder when 8*(3 - 0) + 3 is divided by d.
7
Suppose -6*x = -2*x - 192. What is the remainder when x is divided by 0 - -2 - (-12)/(-3)*-2?
8
Suppose 15 + 17 = 2*y. Let a(p) = 45*p**3 - p + 1. Let i be a(1). What is the remainder when i + 3/(3/2) is divided by y?
15
Suppose 2*s = -3*l - 3*s + 99, -s + 3 = 0. Let y = -9 - -5. Let h = 19 + y. Calculate the remainder when l is divided by h.
13
Let w be (-3)/(9/(-12)) - -1. Suppose 2*x + w = 19. What is the remainder when 13 is divided by x?
6
Suppose -2*i + 10 - 2 = 0, 548 = 4*t + 3*i. What is the remainder when t is divided by 34?
32
What is the remainder when (-64)/(-5) - 16/(-80) is divided by 4?
1
Let n = 18 + -6. Suppose n = -3*v - 4*d + 36, 4*d = 4*v - 32. What is the remainder when 31 is divided by v?
7
Let a = 3 + 7. Calculate the remainder when 26 is divided by a.
6
Suppose -3*j - 2 = -k + 1, 2*j - 12 = -4*k. Suppose j = -5*y + z + 2*z + 56, 3*y = z + 32. What is the remainder when 29 is divided by y?
9
Suppose n + 2*n + 25 = -4*p, 8 = p - 4*n. Calculate the remainder when 8/p - 15*-1 is divided by 4.
1
Suppose 3*f = 8*f. Suppose f = -k - k + 26. What is the remainder when k is divided by 4?
1
Let c(b) = -10*b - 47. Calculate the remainder when c(-27) is divided by 56.
55
Let k = 10 + -5. Suppose -j + 23 = -2*g, -2*j = -j - 5*g - 29. What is the remainder when j is divided by k?
4
Let w = -5 + 5. Suppose w*o + 5*o = 70. What is the remainder when 40 is divided by o?
12
Suppose 5*n = 5*u, u + 0*u = 3*n - 8. Suppose 132 = 5*x + z - 20, 2*x + u*z - 68 = 0. What is the remainder when x is divided by 16?
14
What is the remainder when 2/11 + (-7686)/(-77) is divided by 34?
32
Suppose 0 = -4*z + 60 + 48. Calculate the remainder when z is divided by 14.
13
Calculate the remainder when 15/(-10)*92/(-3) is divided by 7.
4
Suppose -145 = -3*j + 5*m, -4*j - m = -2*j - 75. What is the remainder when 77 is divided by j?
37
Suppose -14*o + 40 = -10*o. Calculate the remainder when 18 is divided by o.
8
Let y(h) = 13*h**2 + 2*h + 2. Suppose -3*o + 8 - 35 = 0. Let c = 16 - o. What is the remainder when c is divided by y(-1)?
12
Suppose a - b + 3 - 7 = 0, -3*a = 4*b - 40. What is the remainder when 23 is divided by a?
7
Suppose -4*j + j = -159. Let t(c) = 2*c. Calculate the remainder when j is divided by t(7).
11
Let l(j) = -9*j + 6. Let d(r) = -r + 0*r + 1 + 0*r. Let o(f) = -14*d(f) + 2*l(f). What is the remainder when o(-7) is divided by 9?
8
Let f(w) = -2*w - 11. Let h be f(-11). Let c = 20 + h. What is the remainder when c is divided by 16?
15
Let s be ((-6)/4)/(1/(-4)). Let w = s + -1. Calculate the remainder when 8 is divided by w.
3
Suppose -2*t + 1 = -3, 0 = 5*n - 4*t - 387. What is the remainder when n is divided by 42?
37
Suppose 4*x + 86 = 7*x + 2*p, 3*p - 115 = -4*x. Suppose 2*g - x = 2*s, 5*g + 2*s = 4*s + 82. What is the remainder when g is divided by 10?
8
Let m be (5 + 1)/(-2) + 2. Let p(y) = 54*y**2 - 1. Calculate the remainder when p(m) is divided by 18.
17
Let c = 3 - 1. Suppose 0 = -c*z - 15 + 91. What is the remainder when z is divided by 10?
8
Let c(z) = -5*z - 18. Let h(l) = -l**3 + 6*l**2 + 3*l + 4. Let s be h(6). Let k = s + 4. Calculate the remainder when k is divided by c(-5).
5
Suppose 5*p + 3*x = 4*x + 24, 5*p + 3*x = 8. Let k(n) = 2*n + 7. Let s be k(-3). Let z = s + 2. What is the remainder when p is divided by z?
1
Suppose 5*b + 6 = 36. What is the remainder when 23 is divided by b?
5
Suppose 217 = 5*v + 3*b, -5*v + 2*b = 3*b - 209. Suppose -70 = -6*d + d. What is the remainder when v is divided by d?
13
Let y(m) = m**2 - m - 1. Let b be y(-3). Let w = b + -8. What is the remainder when w is divided by 2?
1
Let h be (-4)/(-14) + (-26)/(-7). Let q(n) = n**2 - 2*n - 2. What is the remainder when 10 is divided by q(h)?
4
Suppose -5 - 7 = -4*y. Suppose -y*v + 3*m = -21, 13 = 3*v - 0*m + m. What is the remainder when 8 is divided by v?
3
Let w(b) = b**2 + 12*b - 42. What is the remainder when 21 is divided by w(-15)?
0
Let n(i) = -6 + 7*i**2 - i + 2 + 2 + 0. What is the remainder when 81 is divided by n(-2)?
25
Let v(f) = -41*f + 6. Calculate the remainder when v(-2) is divided by 23.
19
Suppose 70 = w + 4*w. Let o = w - 26. Calculate the remainder when 5 is divided by 3/o - (-13)/4.
2
Let l = -68 + 90. Calculate the remainder when 0/(1*-2) - -85 is divided by l.
19
Suppose 0 = -w + 6*w - 10. Suppose -w*s + 87 = s. What is the remainder when s is divided by 16?
13
Suppose z - 3 + 4 = 0, 4*g - 5*z = 185. Suppose 4*n - x = 87, -3*x = 5*n - 96 - 34. Calculate the remainder when g is divided by n.
22
Let i(y) = 5*y. Suppose -3*l + 0*l + 397 = -2*s, -5*l + 650 = -s. Suppose l = -2*a + 5*a. What is the remainder when a is divided by i(3)?
13
Suppose 5*u + 2*h = 195, 0*h + 16 = u + 5*h. What is the remainder when u is divided by 23?
18
Let q = -48 + 86. Calculate the remainder when q is divided by (-26)/6*3*-1.
12
Let q(i) = 22*i - 13. What is the remainder when q(3) is divided by 20?
13
Suppose -11*s + 7*s = -60. Let v = s + -12. What is the remainder when v is divided by 3?
0
Let o = -70 - -76. What is the remainder when 9 is divided by o?
3
Let f(r) be the third derivative of r**4/24 + 5*r**3/6 + 3*r**2. Let v be f(-5). What is the remainder when 61 is divided by -3*(v + 21/(-3))?
19
Suppose -21*j - 294 = -27*j. Calculate the remainder when 96 is divided by j.
47
Let r(s) = s**2 + 48*s + 222. Let b = -2 - -4. What is the remainder when r(-5) is divided by b?
1
Let b(c) = 5*c - 4*c - 4 - 3*c. What is the remainder when b(-6) is divided by 5 + 3 + -6 - -1?
2
Suppose 0 = g + 4*r - 21, 3*r = 5*g + 2*r - 42. What is the remainder when 89 is divided by g?
8
Suppose -5*l = -2*z - 20, 2*z = -3*l + 4 - 8. Suppose 4*i - 19 = -m, 5*i - 87 = -l*m - 2*m. What is the remainder when m is divided by 13?
10
Suppose 0 = u - 8. Suppose 4*b - u = -0*b. Let t = 5 - b. Calculate the remainder when 5 is divided by t.
2
What is the remainder when 71 is divided by (162/45)/(-1*1/(-5))?
17
Let t(j) = j**2 + j - 3. What is the remainder when t(-10) is divided by 18?
15
Suppose -2*l - 13 = -33. Let n = -28 - -31. Calculate the remainder when l is divided by n.
1
Let q(u) = -2*u**2 + 2*u - 1. Let h be q(5). Let l = h + 71. Calculate the remainder when l is divided by 11.
8
Let i(u) = u**2 - 2*u - 1. Let q be i(-1). Suppose 2*p - 5*v = 17, 0*p = -p - v - q. What is the remainder when 3 is divided by p?
0
Let l(x) = 2*x**3 + 2*x**2 - 5*x. Let v be l(-4). Let f = v + 148. What is the remainder when f/2*(-28)/(-16) is divided by 16?
15
Let k(c) = -31*c**2 - 1 + 10*c - c + 30*c**2. What is the remainder when 75 is divided by k(5)?
18
Let c be 1*(0 - (-16)/2). Suppose 3*j = c*j - 70. What is the remainder when (-3)/6*-4 + 38 is divided by j?
12
Let s(l) = -l**3 - 9*l**2 - 10*l. Let h be s(-7). Let g = h + 41. What is the remainder when 49 is divided by g?
10
Suppose 25 = 5*o - 60. Calculate the remainder when 66 is divided by o.
15
Let w(d) = 52*d. Let f be w(3). Suppose 0 = 2*v + m + 3*m - f, 4*m = 2*v - 164. Calculate the remainder when v is divided by 27.
26
Let h = 16 + 115. Let m be (-4)/6 - h/(-3). Let p = -29 + m. Calculate the remainder when 26 is divided by p.
12
Suppose 5*w - 7*w = 0. Suppose -2*y + 28 + 0 = w. Calculate the remainder when y is divided by 4.
2
Suppose -74 = -4*q + 42. What is the remainder when q is divided by 20?
9
Suppose 35 = 5*w - 0. Suppose 0 = 4*t - 18 - 30. What is the remainder when t is divided by w?
5
What is the remainder when 1/(-3 + (-136)/(-44)) is divided by 4?
3
Suppose -4*o = 4*o - 40. What is the remainder when 14 is divided by o?
4
Let m be