. Suppose 15 = v*u + u. Calculate the remainder when u is divided by 4.
1
Suppose -4*h + 137 = k, 0*h - 3*k = -h + 44. Suppose 8*v = -14 + 110. Calculate the remainder when h is divided by v.
11
Suppose -s = -3 - 16. What is the remainder when s is divided by 5?
4
Let c be 0*(15/(-6) + 2). Let k be 2 + 4 - c/(-1). Let q(o) = -o + 14. Calculate the remainder when 14 is divided by q(k).
6
Let w = 1 - 2. Let o(h) = 6*h**2 + 4*h - 4. Calculate the remainder when o(2) is divided by 11*(0 - w) - 1.
8
Let l(u) = u**3. Let y(g) = 5*g**3 + 3*g**2 - 2*g + 1. Let r(b) = 3*l(b) - y(b). What is the remainder when 123/(5 - 2) + -3 is divided by r(-3)?
18
Suppose 2*v + 2*v - 40 = 0. What is the remainder when 28 is divided by v?
8
Suppose 4*n - 17 + 1 = 0. Let w(z) = -z**3 + 5*z**2 - 2*z - 3. What is the remainder when 9 is divided by w(n)?
4
Let k = 30 + -18. What is the remainder when k is divided by 7?
5
Let b(v) be the first derivative of -v**2/2 - 2*v - 1. What is the remainder when 7 is divided by b(-5)?
1
Calculate the remainder when 87 is divided by 5 + -5 + 3 - -12.
12
Suppose -25*w + 40 = -20*w. What is the remainder when 54 is divided by w?
6
Let t be (-59)/(-3) - 2/(-6). Suppose 0 = 2*h - 4*v - 32 - t, 0 = -h + 5*v + 32. Calculate the remainder when h is divided by 12.
10
Suppose 0*w + 54 = 3*w. What is the remainder when w is divided by 7?
4
Suppose 3*c + 3*x = -2*x + 55, 2*c + 3*x - 36 = 0. Let h be 1/(-3) + 515/c. Let m = h - 20. Calculate the remainder when 27 is divided by m.
13
Let r(b) = -15 + b**2 + 8*b - 2*b**2 + 28. Let u = -10 - -21. What is the remainder when u is divided by r(9)?
3
Let k(j) be the second derivative of 3/2*j**2 + 0 - 4*j - 2*j**3. Calculate the remainder when k(-4) is divided by 18.
15
Let c = -17 + 27. What is the remainder when 4 - (35/2)/(2/(-4)) is divided by c?
9
Let z(u) be the third derivative of -u**6/120 - 7*u**5/60 - u**4/12 + 2*u**3/3 - 2*u**2. Let y be z(-8). What is the remainder when 18 is divided by y/16 - 1/4?
3
Let m(a) = 7*a**2. What is the remainder when 2/1 + (-1 - 0) + 17 is divided by m(-1)?
4
Let y(m) = -m**2 + 33. Let s be y(0). Let j = s - 22. What is the remainder when 32 is divided by j?
10
What is the remainder when 26 is divided by (-26)/(-3) - 4/(-12)?
8
Let l(p) = -12*p**3 + 2*p**2 - 1. Suppose 8 = -c + 2*h, -2*c = -3*c + h - 3. Let u be (-1 - -2)/((-2)/c). Calculate the remainder when 24 is divided by l(u).
11
Let f = 6 - -1. What is the remainder when 13 is divided by f?
6
Let j be 2 + (2/1 - 1). Suppose 0 = z - 4*w + j + 1, z + 2*w = 20. What is the remainder when z is divided by 3?
0
Calculate the remainder when 3/(-1) - (15 + -32) is divided by (2*-1)/((-1)/4).
6
Suppose 0 = f - 0 - 4. Suppose 0 = -0*y - f*y + 92. What is the remainder when y is divided by 8?
7
Let n(l) = -l**2 - 2 + 0 + 16*l - 7*l + 10. What is the remainder when n(7) is divided by 12?
10
Let f be 0 - 15/6*-2. Suppose 5 - 2 = -j, -15 = -2*l - f*j. What is the remainder when 28 is divided by l?
13
Let h = -138 + 150. What is the remainder when h is divided by 7?
5
Suppose 0 = -2*k - 5*b + 38, -4*k - k + 3*b = -64. What is the remainder when k is divided by 5?
4
Suppose -2*z + 30 = -s - 9, -37 = -z + 4*s. Calculate the remainder when 31 is divided by z.
14
Let d be 234/10 - 4/10. Suppose 2*v - 117 - d = 0. What is the remainder when v is divided by 24?
22
Suppose -3*z - b + 6*b = -59, -2*z - 5*b + 6 = 0. Calculate the remainder when 39 - (-1)/(-1) - 1 is divided by z.
11
Let m(j) = j**3 - 3*j**2 - 3*j + 6. Let o(l) = l**3 + 3*l**2 - 34*l - 4. Calculate the remainder when o(-7) is divided by m(4).
8
Suppose -4*i - 15 = -35. Calculate the remainder when 21 is divided by i.
1
Let n(q) = -q**3 - q + 3. Let a be n(0). Suppose c - 20 = -a*c. Calculate the remainder when c is divided by 2.
1
Suppose 5*o + 6 = p + 2*o, -2*p + 8 = -2*o. Calculate the remainder when (-58)/(-7) + 2/(-7) is divided by p.
2
Let s(g) = -7*g - 2. Let l(h) = -15*h - 4. Let d(j) = -6*l(j) + 13*s(j). Let w be d(0). Calculate the remainder when 13 is divided by 17/2 - (-3)/w.
6
Let u(a) = -8*a - 4. Let k(v) = v**3 + 4*v**2 + 2*v + 5. Let i be k(-4). Let z be u(i). Suppose y + z = 6*y. Calculate the remainder when 11 is divided by y.
3
Let n = 26 - 13. What is the remainder when 219 is divided by n?
11
Let v = 38 - 23. Let i(l) = -3*l**3 - l**2 + 4*l - 3. What is the remainder when i(-3) is divided by v?
12
Let p(c) = c**2 - c + 1. Let h = -10 - -6. Let f be 10/h - (-2)/(-4). What is the remainder when 38 is divided by p(f)?
12
Let q(k) = -k**2 - 6*k + 14. Suppose 5*x = p + 12, -4*p + 4*x = -p - 8. What is the remainder when q(-6) is divided by p?
6
Let v(x) = 2*x + 6. What is the remainder when (4 - 15/3)*-63 is divided by v(5)?
15
Let z = 17 - -4. What is the remainder when 62 is divided by z?
20
Let l(j) = 24 + j + j + j - 2*j. Calculate the remainder when 71 is divided by l(0).
23
Suppose -13*q - 1006 = -3463. What is the remainder when q is divided by 32?
29
Let c(q) = 3*q**3 - 3*q**2 - 5*q - 1. Let d(a) = 7*a**3 - 5*a**2 - 10*a - 3. Let n(y) = -9*c(y) + 4*d(y). What is the remainder when n(-4) is divided by 7?
4
Let n be 4/8 - (-74)/4. Let o = n - 9. What is the remainder when o is divided by 4?
2
Let a = 0 + 1. Let y = 3 + a. Suppose y*i - 13 = 43. What is the remainder when i is divided by 8?
6
Let l = 36 + 23. Calculate the remainder when l is divided by 15.
14
Suppose 5*q + 17 = -2*h + 2*q, 5*h + 15 = -2*q. Let y(t) = 164*t**2 - t - 1. Let i be y(h). What is the remainder when 55 is divided by i/12 - 2/(-6)?
13
Let r be (-5)/((-80)/(-68))*4. Let i = r + 29. Suppose 175 = 4*t + t. What is the remainder when t is divided by i?
11
Suppose -3*w + 3*g = -21, g + 44 = 5*w - g. Let p be w/(-6) - (-2)/3. Let b = p + 8. What is the remainder when 19 is divided by b?
5
Suppose -x - 3 - 10 = -w, -5*w + 50 = -4*x. Let l = x - -27. What is the remainder when 46 is divided by l?
10
Suppose j = -f + 6*f + 55, -4*f = -5*j + 170. What is the remainder when j is divided by 11?
8
Suppose 3*p - 5 - 1 = 0. Let o(y) = y + 2. Let b be o(-2). Suppose b = 4*r - 3*r - a - 3, 5*r - 6 = -4*a. Calculate the remainder when r is divided by p.
0
Let h = 2 + 5. Suppose -4*y + 15 = -153. Let a = -30 + y. Calculate the remainder when a is divided by h.
5
Let a(u) = -10*u - 20. What is the remainder when a(-11) is divided by 24?
18
Let j = 108 + -61. What is the remainder when 187 is divided by j?
46
Suppose 0*g + 9 = -3*g. Let v = 33 + -18. Calculate the remainder when v is divided by (-16)/g*(-12)/(-8).
7
Suppose s + 6 = 3*s. Let c be 26 - (s - 2 - -1). Suppose 0 = q - c - 8. What is the remainder when q is divided by 11?
10
Let x = 58 + -34. Let u(b) be the first derivative of -13*b**2/2 - 2. What is the remainder when x is divided by u(-1)?
11
Let i be (-2 + 2 - 0)/(-2). Suppose -4*f + 79 - 11 = 2*w, i = 4*w - 4*f - 88. Let v = -3 + w. Calculate the remainder when v is divided by 8.
7
Suppose -5*g + 2*b + 28 = 8, -3*g + 3*b + 12 = 0. Calculate the remainder when ((-2)/g)/((-1)/84) is divided by 11.
9
Calculate the remainder when 1 + (3 - -93 - 0) is divided by 25.
22
Let a(d) = -3*d + 37. Calculate the remainder when 88 is divided by a(8).
10
What is the remainder when (0 + -1)*-3*28 is divided by 17?
16
Suppose 4*m - 8*m - 8 = 0. Let x = 7 + m. Calculate the remainder when x is divided by 3.
2
Suppose 4*m - 20 = 0, -m - 73 - 27 = -5*t. Let y = -7 + t. What is the remainder when y is divided by ((-1 - -4) + 2)/1?
4
Suppose -2*k = -6, a + 0*k = 2*k + 7. Calculate the remainder when 63 is divided by a.
11
Let s(o) = o**3 - 5*o**2 - 4*o - 3. Calculate the remainder when s(6) is divided by (2 + 0 + -1)*3.
0
Let v(x) = x + 5*x**2 + 4*x**3 - 2*x**3 - 2*x - 3*x**3 - 2. What is the remainder when v(3) is divided by 7?
6
Let n(z) = 4*z**3 - 3*z**2 - 6*z + 8. Calculate the remainder when n(3) is divided by 36.
35
Suppose -s + p = -6, -4*p - 17 = -2*s + 3. Suppose 0*w + s*w - 110 = -3*m, -4*w + 152 = 4*m. Calculate the remainder when m is divided by 9.
7
Let m be 4 + (3 - (-4)/(-2)). Suppose -3*v = -n + 335, -1695 = n - 6*n + m*v. What is the remainder when n/7 - (-10)/35 is divided by 17?
15
Let o = 802 + -490. Calculate the remainder when o is divided by 21.
18
Let u = 2 + -1. L