0 = 5*k - 3*k - 2. Suppose 3*p = 2*f - 19, k = 4*p + 13. What is the remainder when (f + -3)/6*42 is divided by 8?
6
Suppose -2*a = a - 9. Suppose -a*m + 7 = -17. Calculate the remainder when m is divided by 4.
0
Let a = -55 + 82. Calculate the remainder when 43 is divided by a.
16
Let g be (9 + (-6)/3)*8. Calculate the remainder when 55 is divided by 2/6 + g/3.
17
Let n(m) = 3*m**2 + 2*m + 2. Let l(i) = -i**3 + 8*i**2 - 6*i - 10. Let j be l(7). Suppose -8*f + 4*f + 32 = 0. What is the remainder when n(j) is divided by f?
7
Suppose n + 130 = 4*w, -81 = 5*w + n - 248. Calculate the remainder when 97 is divided by w.
31
Suppose -q + 7 = -3*g, 1 = -5*g - 19. Let m(x) = -2*x + 6. Suppose -3*j = -3*w - 42, 27 = 3*j - 5*w - 25. Calculate the remainder when m(q) is divided by j.
7
Suppose -c + 9 = 2. Let n be 1/(0 + 1) - -1. Suppose -2*y - n*y + 12 = 4*b, -20 = -4*b + 4*y. Calculate the remainder when c is divided by b.
3
Let l be (1/2)/((-2)/(-12)). Let g = 6 + -4. Suppose -l*j + g = -19. Calculate the remainder when 20 is divided by j.
6
Let q(y) = -y + 11. What is the remainder when 42 is divided by q(-4)?
12
Suppose 0 = 4*g + 2*j - 50, -4*g + 2*j + 21 = -9. Let b(t) be the first derivative of -2*t**3/3 + 27*t - 6. Calculate the remainder when b(0) is divided by g.
7
Let c(f) = -4*f - 12. Let j(x) = -2*x - 6. Let m(v) = 2*c(v) - 5*j(v). Calculate the remainder when 70 is divided by m(6).
16
Let n = -8 - -2. Let v(t) = t**2 + 4*t - 1. Let y = 25 - 19. What is the remainder when v(n) is divided by y?
5
Let g be 79/2 - (-9)/6. Suppose 0 = 4*n + 2*c - 42, g = -0*n + 4*n + c. Suppose 0 = -l - 0*l + n. Calculate the remainder when 18 is divided by l.
8
Suppose -7*f + 3*f + 12 = 0. Suppose 0 = 3*v + 5*b - 1, 3*v + f*b = 2*v - 5. Let u(w) = 2*w - 6. What is the remainder when v is divided by u(5)?
3
Let t(h) = -h**3 - 14*h**2 + 31*h - 12. Calculate the remainder when 45 is divided by t(-16).
1
Let b = -8 + 28. Suppose 4*f + 5*w = 336, 2*f + 5*w = 3*f - 59. Calculate the remainder when f is divided by b.
19
Let h = 65 - -5. What is the remainder when h is divided by 1 + -3 - -10*2?
16
Suppose 12 = 5*a + z, -5*a + 5*z + 24 + 6 = 0. Suppose 2*f + a*c - 74 = 0, -f + 42 = 3*c + c. Calculate the remainder when f is divided by 18.
16
Calculate the remainder when (48/(-3) - 3)*-7 is divided by 27.
25
Let n = -3 - -7. Suppose n*d + 40 - 12 = 0. Let a(z) = z**3 + 7*z**2 - 8*z + 6. What is the remainder when a(d) is divided by 16?
14
Let w = -20 - -29. Suppose 0*u = -2*u - 4. What is the remainder when w is divided by (-10)/u + -1 + -1?
0
Suppose 5*p - n - 248 = 0, 3*n - 6 = -0*n. Calculate the remainder when p is divided by 3.
2
Let f be (-3)/(0 + 6/20). Let t be (f/4)/((-2)/4). Let k(x) = x**3 - 4*x**2 - 4*x - 3. What is the remainder when 2 is divided by k(t)?
0
Let b = 50 - 16. Let a = -5 + 8. What is the remainder when b is divided by (-38)/(-3) + (-2)/a?
10
Suppose -2 + 1 = o, 0 = 2*p - 2*o - 6. Let m(v) = 3 + v + 3*v**2 - 3*v**2 + 2*v**p. What is the remainder when m(4) is divided by 20?
19
Suppose 2*s - 2 = 0, 0 = 2*r - 8*s + 3*s - 37. Suppose -3*v + v = -u - 3, 4*u + 28 = 4*v. What is the remainder when r is divided by u/(-2)*6/3?
10
Let k(z) = z + 15. Let f(b) = b - 8. Let m be f(8). Suppose 3*o + 218 = 5*p + o, o = 5*p - 219. Calculate the remainder when p is divided by k(m).
14
Let r(z) = -z**3 - 10*z**2 + 5*z - 5. Let v(j) = j**3 + 9*j**2 - 6*j + 4. Let h(c) = 3*r(c) + 4*v(c). Calculate the remainder when h(-7) is divided by 9.
6
Let k be (-3)/2*(-20)/6. Suppose 26 = b - k*c, -4*c = -2*b + 3*b + 10. Calculate the remainder when b is divided by 4.
2
Let d(y) = 2*y**2 + 6*y - 6. What is the remainder when 1/3 + 50*(-72)/(-135) is divided by d(-5)?
13
Let t(z) = z**2 - 14*z - 51. Let m(r) = 2*r**3 - 3*r**2 - 4*r. What is the remainder when t(19) is divided by m(3)?
14
Let z be (2/4)/(7/(-84)). Let w be 70/(-8) + (-2)/8. Let p = z - w. What is the remainder when 11 is divided by p?
2
Suppose 5*k - k - u - 590 = 0, 5*u - 137 = -k. What is the remainder when k is divided by 30?
27
Suppose 0 = 5*t + r - 44, -5*r = -0*t + t - 4. Let k(o) = o**3 - 6*o**2 - 7*o + 3. What is the remainder when t is divided by k(7)?
0
Let t = 4 + -7. Let u(z) = z**3 + 2*z**2 + z + 1. Let p be u(t). Let a = -4 - p. What is the remainder when 19 is divided by a?
5
Let p = -47 - -68. Calculate the remainder when p is divided by 8.
5
Let x = 22 - -12. Suppose 5*g = -5*f + x + 26, -3*f - 100 = -5*g. Calculate the remainder when (-6)/(-4) + 63/2 is divided by g.
16
What is the remainder when 12 is divided by (-66)/(-9) - 4/12?
5
Let r = -26 - -36. Let a = r + -5. Calculate the remainder when 9 is divided by a.
4
Let t(z) = z**2 + 12*z - 20. Suppose 0 = -3*o + o - 28. Calculate the remainder when 20 is divided by t(o).
4
Let j = -68 - -74. Suppose 45 = 5*k - 70. What is the remainder when k is divided by j?
5
Suppose -2*w = 2*w + 5*m + 110, 5*w + 127 = -m. Let f = w - -41. Calculate the remainder when -16 + 15 + (-66 + 2)/(-2) is divided by f.
15
Let z be -5*(-5)/(100/12). What is the remainder when 71 is divided by (-90)/z*4/(-5)?
23
Let i be 68/18 + (-4)/(-18). Suppose -i*x = -4*v + 368, -8*x = -3*x - 5. What is the remainder when v is divided by 24?
21
Suppose -n = -0*n - 28. What is the remainder when n is divided by 6?
4
Suppose -l + y + 14 = 0, -2*l + y + 48 = 4*y. What is the remainder when l is divided by 11?
7
Suppose -10 = -2*k + 7*k. Let c = k + 4. Suppose u + 0 = c. Calculate the remainder when u is divided by 2.
0
What is the remainder when (-4)/(-6) - 104/(-6) is divided by (2 - 0)*1 + 8?
8
Let b(r) = 14*r. Let i be b(4). Suppose -5*j + i + 24 = 0. What is the remainder when j is divided by 9?
7
Let t = 11 - 38. Let k = 58 + t. Calculate the remainder when k is divided by 16.
15
Suppose a - 5*m = 49, -3*a + 5*m + 111 = 14. Let w = -34 + 47. Calculate the remainder when a is divided by w.
11
Let m be (-1 + 3)/((-6)/57). Let l(x) = 10*x**2 + 3*x + 2. Let u be l(-2). Let h = u + m. What is the remainder when 49 is divided by h?
15
Let m(i) = i**2 - 4*i - 23. What is the remainder when 13 is divided by m(8)?
4
Suppose -5*x = -z - 14, -4*x - 2 + 44 = 2*z. Suppose -4*l + 9*l = 105. What is the remainder when l is divided by z?
10
Let b(o) = o + 6. Suppose 2*w = -2*w + 20. What is the remainder when b(8) is divided by w?
4
Let r(s) = s**2 - 3*s + 2. Suppose 2*f - 7 + 3 = 0. Suppose f*u - 5 = u. Calculate the remainder when 46 is divided by r(u).
10
Suppose 6*w + 3 = 9*w. Suppose 1 + 11 = 2*n - 4*h, 2*n + 2*h = 0. Calculate the remainder when n is divided by w.
0
Calculate the remainder when 152 is divided by (50 - -3)*(1 + -2)*-1.
46
Let h(w) = 19*w**2 + w. Let s be (-1)/(-4) - (-5)/(-4). Let b = s - -2. Calculate the remainder when h(b) is divided by 7.
6
Suppose -d - 8 = 2. Calculate the remainder when 2/(-4)*d*1 is divided by 3.
2
Let f(w) = -w**3 - 9*w**2 + 9*w - 16. Suppose -5*r - 17 = 38. Calculate the remainder when f(r) is divided by 32.
31
Let y be (-12)/(-18)*66/(-4). Let u = 0 - y. What is the remainder when u is divided by 7?
4
Let w = 14 - 12. Suppose 3*l - 42 = -2*l - w*s, 20 = -5*s. Calculate the remainder when l is divided by 3.
1
Let l(o) = o**2 + 3*o + 18. Calculate the remainder when l(-8) is divided by 21.
16
Let n = 85 - 72. Calculate the remainder when 34 is divided by n.
8
Suppose -2*l - 7 = 3*s - 4*s, 4*s - 49 = l. Let p = 231 - 194. Calculate the remainder when p is divided by s.
11
Suppose a = -3*i + 23, 3*a - 13 = -3*i + 8. What is the remainder when 29 is divided by i?
5
Let w be 4/(-6) + 326/3. What is the remainder when (-1 + 4/6)*-141 is divided by w/6 + 2/(-1)?
15
What is the remainder when 5 + -1 - (-6 - -3) is divided by 3?
1
Suppose -2*s + 18 - 10 = 0. Suppose 3*x = 3*j - 0*x - 105, s*x - 166 = -5*j. What is the remainder when j is divided by 12?
10
Let p(o) = -32*o + 22. What is the remainder when p(-6) is divided by 12?
10
Suppose 2*a = -2*a - 20. Let p = a - -32. Suppose -8 = -n + 6. Calculate the remainder when p is divided by n.
13
Let n = 252 - 135. Suppose -2*j + n = j. Calculate the remainder when j is divided by 10.
9
Suppose 3*u + 1 = 5*m, -3*u + 11 = 4*m - 2*u. What is the remainder when 11 is divided by m?
1
Let u = 52 - 40. Calcu