Suppose 3*n = -4*d + 745 + 160, -4*d - 2*n = -910. Suppose -3*b = 5*z - 140, -4*b = b + 5*z - d. Calculate the remainder when (1 - -3)*b/6 is divided by 16.
14
Let y(w) be the first derivative of -1/2*w**2 + 18*w + 1. What is the remainder when y(0) is divided by 10?
8
Let s = -125 + 135. What is the remainder when 168 is divided by s?
8
Suppose -4*u - 5*a = -3*a - 6, -5*u = 2*a - 7. Let r = -3 + u. Calculate the remainder when r/(-16)*-14*-28 is divided by 13.
10
Let t be (-30)/7 - (-4)/14. Let d = -4 + 18. What is the remainder when (26/(-4))/1*t is divided by d?
12
Let g = 50 - -42. Let f = g + -64. What is the remainder when f is divided by 10?
8
Calculate the remainder when 68 is divided by (3 - 16/5) + 363/15.
20
Suppose 0 = -0*v + 4*v + 5*l - 7, 4*v + 2*l = 10. Suppose v*k - 2*k = 16. Let j(q) = 7*q**3 - q. What is the remainder when k is divided by j(1)?
4
Suppose 0 = -v - v + 38. Suppose -2*w - 4*m = w - 173, -4*w = -4*m - 212. Calculate the remainder when w is divided by v.
17
Let n = -103 + 144. What is the remainder when n is divided by 15?
11
Let k(z) = -z**3 - 4*z**2 + 6*z + 1. Let v(m) = m - 1. Let y be v(-4). Let q be k(y). What is the remainder when 26 is divided by (-81)/6*q/6?
8
Suppose 0*q = -q - 5. Let u = 8 + q. Let z = -13 + 21. What is the remainder when z is divided by u?
2
Let z(q) = 3*q**2 - 11*q + 13. Let i(a) = a**2 + 4*a - 6. Let v be i(-6). Calculate the remainder when z(v) is divided by 14.
13
Let f(s) be the second derivative of s**4/12 + s**3/3 - 4*s**2 + s. Let q = 5 - -2. What is the remainder when f(q) is divided by 19?
17
Let g = 3 + -3. Suppose g*w = -w + 34. Let h = -24 - -42. Calculate the remainder when w is divided by h.
16
Let l = 45 + -25. What is the remainder when 78 is divided by l?
18
Suppose 107 = 3*p - 10. Calculate the remainder when 115 is divided by p.
37
Let z(h) = h**3 + 6*h**2 - 4*h + 9. What is the remainder when z(-6) is divided by 17?
16
Let s be 81/(-6)*(-4)/6. What is the remainder when 28 is divided by s - (-2 + (-3 - -4))?
8
Suppose -5*z = -0*z - 165. Let y be 7/14 - 329/(-2). Suppose y - z = 4*s. Calculate the remainder when s is divided by 17.
16
Let f(o) = -o + 7. Let j be f(5). Suppose -j*r + 10 = 0, -4*r + 45 = 5*q - 85. What is the remainder when 65 is divided by q?
21
Let x = 33 + -12. Let h be x/3*(-24)/14. Calculate the remainder when h/(-3) + -1 + -1 is divided by 1.
0
Let d be (10/(-25))/(1/(-5)). Suppose -6*r + r = -2*l + 3, -d*r = -3*l + 10. What is the remainder when 7 is divided by l?
3
Let n(u) = 19*u**2 + u. Let s be n(-1). Let v(z) = -z**2 - 5*z + 2. Let y be v(-6). Let g = y + s. What is the remainder when g is divided by 5?
4
Suppose -2*c - 34 - 58 = 0. Let s = c + 96. What is the remainder when s is divided by 13?
11
Let t(u) = 2*u**3 - 8*u**2 + 5*u - 5. Let q be t(5). What is the remainder when (16/10)/(4/q) is divided by 10?
8
Let g = -44 - 5. Calculate the remainder when (-394)/(-8) - (-1)/(-4) is divided by g/(-3) - 4/(-6).
15
Let m be 3*-2*45/(-10). Suppose 2*s + s = q - m, -2*q + 39 = -s. What is the remainder when q is divided by 10?
8
Suppose 0 = 5*a - 14 + 4. What is the remainder when (-44)/(-33)*9/2 is divided by a?
0
Suppose -3*w + v = -v + 23, 3*w + 31 = -2*v. Let m(u) = u**3 + 8*u**2 - 11*u - 4. What is the remainder when m(w) is divided by 5?
4
Suppose -r - r - 6 = -3*f, 3*f = 12. Suppose -r*t + 110 = 8. Calculate the remainder when t is divided by 18.
16
Suppose -3*s = z - 13, 2*s = 4*z + z + 3. Let x(j) = j + z - 2 - 4 + 7. What is the remainder when x(5) is divided by 3?
1
Suppose 7*q - 108 = -4*a + 3*q, 0 = 2*a + 3*q - 52. Calculate the remainder when a is divided by 10.
9
Let a(q) = -q - 9. Let l be a(-10). Calculate the remainder when l/(-3)*(-45 - 6) is divided by 9.
8
Let k = -16 - -18. Calculate the remainder when 5 is divided by k.
1
Let k = -38 - -57. Suppose 3 - k = -n. What is the remainder when 29 is divided by n?
13
Suppose g + g - 24 = 0. Calculate the remainder when g is divided by 4.
0
Let w = 15 + 14. What is the remainder when w is divided by 16?
13
Calculate the remainder when 53 is divided by (-1 + 0)/((-9)/(-18)) + 20.
17
What is the remainder when (-7)/(-3)*(-6 - -9) is divided by 1?
0
Let v(f) = 2*f + 1. Let r(w) = -2*w. Let u(d) = 6*r(d) + 7*v(d). Let c be 3/6*2*6. Calculate the remainder when 37 is divided by u(c).
18
Let c = 9 - -13. Calculate the remainder when c is divided by 5.
2
Suppose 0 = -4*w + w - 4*k + 43, 25 = 5*w - 5*k. Let y(v) = v - 6. What is the remainder when y(w) is divided by 3?
0
Suppose -1252 = -5*u + u. Calculate the remainder when u is divided by 63.
61
Let j = 2 + -1. Let t be ((-6)/8)/(4/16). Calculate the remainder when 5 is divided by 6/j*t/(-6).
2
Let j(g) = 3*g - 3. Let r be 1/(-2) - (-10)/4. Let v be r/(-7) - (-111)/21. What is the remainder when 22 is divided by j(v)?
10
Suppose 0 = -5*j + 10, 4 = 5*z - 5*j - 71. Suppose 24*t = 23*t + 65. What is the remainder when t is divided by z?
14
Let w = -6 + 8. Suppose w*c - 78 = 5*v - 0*v, 102 = 2*c + v. Let y = 51 - 34. What is the remainder when c is divided by y?
15
Suppose -a + 5 = 0, a = 4*q - 5 - 18. Calculate the remainder when 10 is divided by q.
3
Calculate the remainder when 29 is divided by (12/4 + 2)*1.
4
Let i(w) = 15*w**3 + 4*w + 2*w**2 - 4*w - 1. Suppose -92 = -n - n. What is the remainder when n is divided by i(1)?
14
What is the remainder when 21 is divided by (2/(-8))/(27/(-324))?
0
Let x be (-1 + 9/(-2))*-2. Let s = -4 + x. Suppose -j - 1 = 0, 2*g + j - 26 = 3*j. Calculate the remainder when g is divided by s.
5
What is the remainder when 5 + -3 + -1 + 41 is divided by 15?
12
Suppose -4*a = -3*h + 48, 8 - 40 = -2*h - 5*a. Let l = 3 - 5. Let n = h + l. What is the remainder when 26 is divided by n?
12
Let d(j) = 3*j**2 + 8. What is the remainder when d(-4) is divided by 12?
8
Suppose -3*m + 16 = -0*m - 2*k, -5 = -5*k. Suppose 0 = 4*a - 82 + m. What is the remainder when (-1005)/(-18) - 1/(-6) is divided by a?
18
Let h = 24 + 3. What is the remainder when h is divided by (-3)/(-12) + (-55)/(-4)?
13
Let c = 2 - 2. Suppose c = -z - 3*f, 28 = 4*z - 4*f - 20. Let p = 49 - 32. Calculate the remainder when p is divided by z.
8
Let g = 5 + -3. Let p be (97 - -1) + 0 + g. Suppose 5*k + 0*k - p = 0. Calculate the remainder when k is divided by 7.
6
Let f be 3/9 + 8/(-6). Let h(c) = 8*c**2 + c. What is the remainder when h(f) is divided by 4?
3
Let q be (-3)/(-1)*(-8)/6. Let z = q + 17. Calculate the remainder when 36 is divided by z.
10
Suppose -124 = -5*c + 86. Calculate the remainder when c is divided by 15.
12
Let j = 6 - 11. Let y(v) = -v**3 - 2*v**2 + 7*v + 4. What is the remainder when y(j) is divided by 15?
14
Suppose -4*r = -16, -7*r + 3*r = 4*p - 24. Let a(y) = -2*y - 4. Let s = -6 + 2. Calculate the remainder when a(s) is divided by p.
0
Let d(q) be the second derivative of q**3/6 + q**2 - 3*q. What is the remainder when 16 is divided by d(7)?
7
Let u = 56 + -83. Let z = u - -51. What is the remainder when z is divided by 13?
11
Suppose -9*x + 4*x = -120. Suppose -j + 6 = t - 0*j, -2*t + 24 = -2*j. Calculate the remainder when x is divided by t.
6
Let y = -8 - -18. Suppose -d = -8 - y. What is the remainder when 35 is divided by d?
17
Let k(g) = g**2 + 9*g - 7. Let w be k(-7). Calculate the remainder when (-3)/(-2) + (-18)/(-4) is divided by (-11)/(-3) - 7/w.
2
Suppose 57 - 3 = 3*a. Suppose 0 = 3*c + k - 17, -3*c + 8*c - 33 = -4*k. Suppose b + 30 = 4*b + c*j, j = -b + 10. Calculate the remainder when a is divided by b.
8
Let i(b) = 2*b - 6. Let h be i(5). Suppose 4 = 5*j - 4*o + 1, -3*o = -h*j + 3. Suppose -3*f = -23 - 1. Calculate the remainder when f is divided by j.
2
Suppose 3*h = 71 - 17. Calculate the remainder when 33 is divided by h.
15
Suppose -3*a + 2*a + 1 = 0, 5*a = -3*g + 149. Suppose o = 2*o - g. Let f = o + -16. Calculate the remainder when f is divided by 11.
10
Suppose -123*n + 125*n = 74. Suppose -25 = -2*i - 5*d, 3*i = -0*i + 2*d + 66. Calculate the remainder when n is divided by i.
17
Let t(p) = -p + 1. Let n be t(-1). Suppose -d = -3*c - 13, -3*d = -c - n*c - 45. What is the remainder when 63 is divided by d?
15
Let a = 4 - 7. Let x be (a + 4)*1*7. Calculate the remainder when (-3)/6*-2*x is divided by 