0*s. Suppose 5*y = 4*y + 4*n + 19, -38 = -s*y - 3*n. Calculate the remainder when 32 is divided by y.
10
Let k = 55 + -38. Calculate the remainder when k is divided by 10.
7
Suppose -4*m - 6 + 58 = 0. What is the remainder when 51 is divided by m?
12
Suppose 5*h = -2*k + 3*k + 9, h = 2*k - 27. Suppose -3*z + 5*j = -22, -j - 5 = -2*z + 12. Suppose -4*g + z = -15. What is the remainder when k is divided by g?
4
What is the remainder when 87 is divided by 3/(((-1)/(-45))/((-3)/(-9)))?
42
Let n(b) = 10*b - 4 + 2 + 1. Suppose 0 = -2*i + 2 - 0. What is the remainder when 25 is divided by n(i)?
7
Suppose 5*t = 2*r + 65, 3*t + 3*r - 35 = 25. Let l = 22 - 34. What is the remainder when 4 is divided by l/t*5/(-2)?
0
Let f(p) = -p**3 + 6*p**2 + 9*p - 4. What is the remainder when ((-1)/1 - 16)*(-3 + 2) is divided by f(7)?
7
Let d(j) be the third derivative of -5*j**4/24 + 2*j**2. Let y = -4 + 13. Calculate the remainder when d(-5) is divided by y.
7
Let s be -2*33/24*-4. Let h(f) = f**3 - 11*f**2 + 9. What is the remainder when 16 is divided by h(s)?
7
Suppose -5*m + 221 = 12*m. Calculate the remainder when 47 is divided by m.
8
Let t = -50 + 73. Calculate the remainder when 43 is divided by t.
20
Suppose -8*g - 3*g + 121 = 0. Calculate the remainder when 97 is divided by g.
9
Let u be 3*14*1/(-2). What is the remainder when 4 is divided by u/(-9) - (-2)/3?
1
Suppose 3*b - 5*b - 12 = 0. Let c(w) = -w**3 - 6*w**2 - w + 1. Calculate the remainder when c(b) is divided by 3.
1
Suppose 0 = 5*j - 3*j - 56. Calculate the remainder when 54 is divided by j.
26
Suppose -4*g - 110 = -9*g. Calculate the remainder when g is divided by 8.
6
Suppose 312 + 96 = 6*b. What is the remainder when b is divided by 10?
8
Let z be (68/6)/((-10)/(-45)). Suppose 5*n - z = -16. What is the remainder when n is divided by 4?
3
Suppose 4*c + 3*x - 20 = 0, -c + 4 = x - 1. Let n = 4 - 1. Suppose 8 - 2 = n*v. Calculate the remainder when c is divided by v.
1
Suppose 5 - 26 = -7*h. Suppose 14 = c + c. Suppose 4*n - 17 = c. Calculate the remainder when n is divided by h.
0
Let i = 96 + -86. Calculate the remainder when 127 is divided by i.
7
Let a(u) = 2*u + 10. Let w(o) = -6*o - 29. Let z(p) = 17*a(p) + 6*w(p). Calculate the remainder when 28 is divided by z(-7).
8
Suppose 0 = -0*w + 5*w - 210. What is the remainder when w is divided by (-1)/(-1 - 20/(-22))?
9
Let v(p) = 2*p + 13. Calculate the remainder when 12 is divided by v(-4).
2
Let b(o) = -o**3 - 6*o**2 - o - 8. Let w be b(-6). Let s be 132/18 - w/3. What is the remainder when 87/4 - 6/s is divided by 8?
5
What is the remainder when 59 is divided by (-304)/(-10) + 32/(-80)?
29
Suppose -3*a = -4*i - 5 + 1, i = 2*a - 6. Suppose f - i*l = -0*l + 36, -5*l = -20. What is the remainder when f is divided by 16 + (0 - (2 - 1))?
14
Suppose 0*o = 4*o - 92. Suppose 13 + o = 4*u. What is the remainder when 15 is divided by u?
6
Let c(v) = 3*v**2 + 1. Let j be c(1). Suppose -j*p + 97 = z, -p - 2*z + 19 = -0*p. What is the remainder when p is divided by 7?
4
Let d(x) = -10*x. Let z be d(1). Let o = z + 37. Suppose 4*j - 64 + 8 = 0. What is the remainder when o is divided by j?
13
Suppose -q - 14 = -4*t, 13 = -t + 2*t - 5*q. What is the remainder when 12 + -1 - 0/3 is divided by t?
2
Suppose 2*f - 3 = 1. Calculate the remainder when (0 - (2 + -61))*1 is divided by (45/(-6))/(f/(-4)).
14
Suppose d - 6*d = -535. Calculate the remainder when d is divided by 22.
19
Suppose 3*z = 2*z + 24. Calculate the remainder when 69 is divided by z.
21
Let r be 1/(3 - 69/24). Let a = -8 + r. Suppose 2*o + a*o - 52 = 0. Calculate the remainder when o is divided by 9.
8
Suppose -5*p - 31 + 11 = 0, 0 = v - 3*p - 14. Suppose -r - v*r = -117. What is the remainder when r is divided by 20?
19
Let b be 2 + -3 + (1 - -1). Let a be (b/3)/(8/48). Suppose a*i + 11 = 3*i. Calculate the remainder when 20 is divided by i.
9
Let v = 45 - 26. Calculate the remainder when 47 is divided by v.
9
Suppose -2*c - 12 = -5*c. Suppose -2*l + 23 - 3 = -c*j, 0 = 3*l - j - 20. What is the remainder when 23 is divided by l?
5
Suppose 2*t + 18 = t. Let j(n) = 2*n + 5. Let h be j(-9). Let d = h - t. What is the remainder when 7 is divided by d?
2
Let x be (-8)/48 + (-179)/6. Let c = -13 - x. What is the remainder when c is divided by 10?
7
Suppose q - 168 = -3*w - w, -3*w + 2*q = -137. What is the remainder when w is divided by 11?
10
Suppose -2*t = -3*x, 0 = -2*x - 3*t - 2*t. What is the remainder when x - -16 - (-6)/(-3) is divided by 4?
2
Let p(a) = 3*a + 5. Calculate the remainder when p(7) is divided by 5.
1
Let g = -54 - -59. Let a be 1/((-1 - -4) + -2). What is the remainder when (a - 0 - 2) + 10 is divided by g?
4
Let o be (31/(-2))/((-12)/(-24)). Let a = -16 - o. Let z(g) = 3*g**2 + g. What is the remainder when z(-4) is divided by a?
14
Suppose 6*c - c - 35 = 0. Suppose k + 6 = 2. Let r = c + k. What is the remainder when 7 is divided by r?
1
What is the remainder when ((-388)/12)/(-2*(-1)/(-6)) is divided by 17?
12
Suppose v + 2*v - 39 = 0. Calculate the remainder when 38 is divided by v.
12
Let a(y) = y - 20. Let b be a(14). Let w = 8 - b. Calculate the remainder when w is divided by 4.
2
Let q(v) = -3 + 2*v - 4*v - 2*v**3 - 2*v**2 + v**3. What is the remainder when 22 is divided by q(-3)?
10
Let l(i) = i**3 + 11*i**2 - 13*i - 1. Let k = 8 + -20. What is the remainder when 53 is divided by l(k)?
9
Let t(v) = v - 1. Let o be t(-9). Let q = o - -22. What is the remainder when 35 is divided by q?
11
Suppose 5*u = 2*y - 73, 0 = -0*y - 4*y + 4*u + 152. What is the remainder when y is divided by 10?
9
Let w(c) = -6*c + 7. Let v be w(-7). Suppose 9 - v = -4*d. What is the remainder when 29 is divided by d?
9
Let w(r) = r + 3. What is the remainder when 58 is divided by w(0)?
1
Let u(p) = -p**3 + 7*p**2 - 7*p + 1. Calculate the remainder when (-368)/(-12)*3/2 is divided by u(5).
14
Let p(u) = 4 + 6*u + 0*u**2 - u**2 + 0*u**2. Calculate the remainder when 45 is divided by p(4).
9
Suppose -2*y - 42 = y - 4*k, 2*y = 4*k - 24. Calculate the remainder when (y/(-4))/((-9)/(-12)) is divided by 56/(-21)*(-3)/2.
2
Let a(r) = -5*r + 29. What is the remainder when a(-6) is divided by 21?
17
Suppose 184 = 5*p - m - 2*m, 3*m = -2*p + 61. Calculate the remainder when 137 is divided by p.
32
Let w = -48 - -114. Suppose -4*f + w = -26. Calculate the remainder when f is divided by 8.
7
Let k be -3 + 31 + 2 + -3. Let a = -6 + k. What is the remainder when a is divided by 8?
5
Suppose -173 = -4*x + 35. Let g(j) = j**2 - 4*j - 3. Calculate the remainder when x is divided by g(-3).
16
Suppose 128 = -0*l + 4*l. Suppose 117 + 15 = 11*p. What is the remainder when l is divided by p?
8
Let n(r) = 3*r**2 - 2. Let p be n(2). Let z = p - -11. Let s = z - 10. Calculate the remainder when s is divided by 4.
3
Let n(w) be the second derivative of -w**5/20 - 3*w**4/4 + w**3/6 + 6*w**2 + 3*w. What is the remainder when 9 is divided by n(-9)?
0
Let o(u) = -4*u + 3. Let z be o(-4). Let p = z - 13. Suppose -c + p = -12. What is the remainder when 53 is divided by c?
17
Suppose -5*p + 18 = 3. Let a = 147 - 142. What is the remainder when a is divided by p?
2
Calculate the remainder when (-5)/(-2)*(-208)/(-65) is divided by 4.
0
Let s(w) = 16 + 4 - 7*w - 10 - w**2. What is the remainder when 62 is divided by s(-6)?
14
Suppose -j + 5 = -2. What is the remainder when -12*(6/(-4) + 0) is divided by j?
4
Let h(r) = -3*r - 4. Let x = -5 - -1. Let k be h(x). Suppose 3 + k = j. Calculate the remainder when 32 is divided by j.
10
Suppose 7*f - 24*f + 391 = 0. Suppose 0*p = -5*p + 40. What is the remainder when f is divided by p?
7
Let c = 31 - -65. Suppose w - 5*w = c. Calculate the remainder when (-10)/(-2*(-3)/w) is divided by 14.
12
Let p(c) = 2*c**2 + 2*c + 3. Let i(k) = -k**2 - k + 2. Let b be i(-3). What is the remainder when p(b) is divided by 0 + (1 - -1 - -12)?
13
Let w(u) = -u**3 - 6*u**2 - 2*u + 10. Calculate the remainder when 2*(-1 + 89/2) is divided by w(-6).
21
Let x = -111 - -114. What is the remainder when 24 is divided by x?
0
Let i = 28 + -18. What is the remainder when 15 is divided by i?
5
Let b = -5 + 13. Let d(h) = h + 1. What is the remainder when 17 is divided by d(b)?
8
Let n(h) = -134*h - 2. Let k be n