uppose 5*k + 17 = 4*z, 1 = 2*z - 3*k - 2*k. Suppose z*d = 11*d - 93. Calculate the remainder when 92 is divided by d.
30
Let t(c) = 0*c - 3*c + 4*c**2 - 2*c. Let f be t(4). Let l = 64 - f. What is the remainder when l is divided by 11?
9
Let u(f) = f - 3. Let c be u(5). What is the remainder when (-40)/(-22) - 6/(-33) is divided by (1/2)/(c/4)?
0
Suppose -3*b + 99 = 4*g, -9 + 81 = 3*g + 3*b. Let y be 1/(-1) - (2 + -9). Let s(r) = r**2 - 4*r + 2. Calculate the remainder when g is divided by s(y).
13
What is the remainder when 5*6/15 - -67 is divided by 10?
9
Let r(l) = -l - 8. Let b(n) = n + 9. Let i(y) = 5*b(y) + 4*r(y). Suppose -32 + 8 = 4*k. Calculate the remainder when i(k) is divided by 3.
1
Let w = 3 + -7. Let g(a) = a**3 + 5*a**2 - 4. Calculate the remainder when 45 is divided by g(w).
9
Suppose 20*p = 18*p + 38. What is the remainder when 74 is divided by p?
17
Suppose -15 - 27 = -q. Let p(j) = 3*j**3 - 2*j**2 + 3*j. What is the remainder when q is divided by p(2)?
20
Suppose 0 = -4*f + 65 + 27. Calculate the remainder when f is divided by 2.
1
Let u be 0/2 - (-1 - -1). Suppose u = 3*z - 5*z. Suppose 2*n - 2 + z = 0. What is the remainder when 2 is divided by n?
0
What is the remainder when 6 is divided by (-7)/(21/2)*-3?
0
Let k be 1/6 - (-37)/(-6). Calculate the remainder when 7 is divided by ((-4)/k)/((-6)/(-27)).
1
Let w(p) = -9*p - 2. Let q(l) = -l**2 - 3*l + 7. Let f be q(-5). What is the remainder when w(f) is divided by 13?
12
Let y(w) = 3*w - 2. Let m be y(3). Suppose m*u - 10*u + 30 = 0. Calculate the remainder when 29 is divided by u.
9
Suppose -4*r - 5*q + 102 = 0, -6*q = 5*r - q - 130. Let o(v) = v**3 + 55. Calculate the remainder when o(0) is divided by r.
27
What is the remainder when 23 is divided by 3*(112/(-6))/(-8)?
2
Suppose 0 = 2*r - a - 143, -6*r = -3*r + 4*a - 209. What is the remainder when r is divided by 24?
23
Suppose -5*v + 14 = -3*v. Let b(r) = 11*r + 8. Let k be b(v). Suppose -4*c + k = 2*x + 3*x, -x = c - 17. What is the remainder when x is divided by 9?
8
Let r = 13 + 7. What is the remainder when r is divided by 7?
6
Suppose l + l = 94. Calculate the remainder when l is divided by -3*1 - 2*90/(-12).
11
Suppose 0 = -5*i + 10. Let l = 22 - 8. Suppose -v - v + 28 = i*t, v - t - l = 0. Calculate the remainder when 41 is divided by v.
13
Suppose o + 1 = 0, 5*a + o = 5*o + 24. Suppose a*s - s - 4*q = 42, -15 = -3*s - 5*q. What is the remainder when s is divided by (1 - -2)*(-16)/(-12)?
2
Let o(j) = j**2 + 5*j - 10. Let q(s) = -8*s**3 + 1. Let u be q(1). Calculate the remainder when 14 is divided by o(u).
2
Let g = 96 - 17. What is the remainder when g is divided by 40?
39
Suppose 2*l = -5*f + 22, -11 = -4*l - 2*f + 1. Suppose -i - l = -6. Suppose 33 = -2*h + i*h. What is the remainder when 32 is divided by h?
10
Calculate the remainder when 2 - (5 + -3 - 14) is divided by 32/20*(5 + 0).
6
Let l(r) = 29*r - 9. What is the remainder when l(4) is divided by 36?
35
Suppose 8*z - 3*z = 205. Let w = -35 + 49. What is the remainder when z is divided by w?
13
Suppose 4*q - 84 = -4*i, 0*q + 17 = q - i. What is the remainder when 37 is divided by q?
18
Let n = 33 - 18. What is the remainder when 44 is divided by n?
14
Suppose 0*y + 5*f = 5*y - 530, -4*f + 456 = 4*y. What is the remainder when y is divided by 38?
34
Suppose 2*o = -4*w - 4 - 6, o - 5*w = 23. Let x(n) = n + 2. Let y be x(-3). What is the remainder when y/(2/(-4)) - -6 is divided by o?
2
Let q = 19 + -10. What is the remainder when 13 is divided by q?
4
Suppose 6 = 3*y - y. Suppose -w + 4*q + 21 = 0, y*w = 4*w + 4*q + 11. What is the remainder when (-1 - 0)*(-12 - 1) is divided by w?
3
Suppose -v = 2*v - 33. What is the remainder when (-51)/(-1 - 2) - -4 is divided by v?
10
Suppose 14*v - 124 = 310. What is the remainder when v is divided by (-4 + -2)/(3/(-4))?
7
Let d be (0/(-4))/(0 + -1). Suppose d*l + l = -1. Let b(n) = -12*n**3 - n. Calculate the remainder when 24 is divided by b(l).
11
Let i(c) be the third derivative of 5*c**4/24 - c**3/6 - 2*c**2. Let j be i(2). Let z = 16 - j. Calculate the remainder when z is divided by 3.
1
Suppose -6*d + 5*d = -22. What is the remainder when d is divided by 12?
10
Suppose 0 = 4*j - 32 - 28. What is the remainder when 17 is divided by j?
2
Let c(z) = -41*z**2 + z + 1. Let o(k) = -k**2. Let v(l) = c(l) - 3*o(l). Let m be v(-1). Let t = -16 - m. What is the remainder when t is divided by 12?
10
Let j = -2 - -6. What is the remainder when 8 is divided by 5*(j + -3)/1?
3
Suppose -4*h = 4*i - 24, -4*h - 2*i = -0*h - 18. What is the remainder when 5 is divided by 30/9 - 1/h?
2
Suppose 2*q = -4*i + 110, 3*q - 101 = -4*i - 2*q. Calculate the remainder when i is divided by 16/(-8) - (-20)/2.
5
Let z = 34 + -21. What is the remainder when z is divided by 25/7 + 6/14?
1
Let v(n) = 11*n**2 + 2*n + 1. Let m be 0 + 2 + -1 + -2. What is the remainder when v(m) is divided by 4?
2
Let j be 0/(3 + -1 + -3). Suppose -4*r + j*r = -72. Calculate the remainder when r is divided by 7.
4
Let p = -26 - -56. What is the remainder when 89 is divided by p?
29
Suppose -3*f - i + 1 = -5*i, 0 = 2*f - 3*i. Suppose -o - f*o = -40. What is the remainder when 39 is divided by o?
9
Suppose 4*p = 33 + 3. What is the remainder when 60 is divided by p?
6
Let s be 1*-2*1 - -2. Suppose -3*n + 5*b - 4*b + 130 = s, -2*b - 128 = -3*n. Suppose 3*k = -k + n. Calculate the remainder when k is divided by 6.
5
Let w = -4 + 11. Suppose -3*j = -7*j + 32. Suppose j + 0 = 4*k. Calculate the remainder when w is divided by k.
1
Suppose 4*s = 50 + 6. Let a = 99 + -58. What is the remainder when a is divided by s?
13
Suppose -3*b + 0*b + 301 = 4*s, -s - b + 76 = 0. Calculate the remainder when s is divided by 15.
13
Suppose -y - 4*y = 2*l - 2, l = -y + 4. Suppose -4*m - 5*x + 43 = 0, -26 = -2*m + l*x - 4*x. Calculate the remainder when 21 is divided by m.
9
Suppose -5*u - 13 = -63. Let t(q) = -q + 8. What is the remainder when t(-10) is divided by u?
8
Let m(d) = -d**3 - 13*d**2 + 13*d - 11. Calculate the remainder when 22 is divided by m(-14).
1
Suppose 11*j - 7*j = 4, -4*j = -f + 66. Calculate the remainder when f is divided by 15.
10
Let g = -62 - -91. Calculate the remainder when g is divided by -3 + 0 - (-20 - -2).
14
Let g be (4/12)/((-1)/3). Let z = 3 + g. Calculate the remainder when 5 is divided by z.
1
Suppose 2*x - 24 = 5*f, -4*f - 20 = -f - 4*x. Calculate the remainder when (-70)/f + 1/(-2) is divided by 9.
8
Calculate the remainder when 21 is divided by (-14)/3*90/(-35).
9
Let w(m) = m**2 + 5*m + 5. Let n be w(-5). Let z = n - -20. Calculate the remainder when z is divided by 7.
4
Let d(l) be the first derivative of l**3 + 9*l**2/2 + 2*l + 2. Let y = -71 + 90. What is the remainder when d(-6) is divided by y?
18
Let t = 6 + -3. Calculate the remainder when 6 is divided by t.
0
Let l = -48 + 135. Let a(s) = s**2 - 7*s + 4. What is the remainder when l is divided by a(9)?
21
Suppose 2*m - 8 = 12. What is the remainder when 48 is divided by m?
8
Suppose 220 = 12*l + 88. Calculate the remainder when 32 is divided by l.
10
Let r be (-38)/8*(3 + -7). Suppose -r = -3*t + 65. Calculate the remainder when t is divided by 15.
13
Let a = -11 - -15. Suppose -a*t - 10 = 3*i - 4*i, 3*i = -t + 56. What is the remainder when 52 is divided by i?
16
Suppose -163 = -5*w + 4*s, -3*w + 77 + 24 = -4*s. Let n = w - 28. What is the remainder when n is divided by 3?
0
Let a be 6/24 - (-1)/(-4). Suppose a = -3*u + 7*u. Suppose u = -0*g + 5*g - 95. What is the remainder when 35 is divided by g?
16
Suppose -2*q + 4*q = 8. Suppose -g + 45 = 5*y, 0*g + 165 = 4*g + 5*y. What is the remainder when g is divided by q/(-26) + 184/13?
12
Suppose 3*l + 3 + 1 = -5*f, 9 = 2*l + f. Let q(u) = -u**3 - 6*u**2 + 5*u - 2. Let a = 0 - 7. What is the remainder when q(a) is divided by l?
5
Calculate the remainder when ((-2)/(-6))/((-10)/(-150)) is divided by 2.
1
Let n(b) = 2*b**2 + 6*b - 5. Calculate the remainder when n(4) is divided by 14.
9
Suppose -1 = -2*g + 11. Let k(q) = q**3 - 6*q**2 - 5*q - 10. Let u be k(7). Calculate the remainder when (-29 + 7)*(-2)/u is divided by g.
5
Suppose 3*r + 4*m - 100 = 17, -3*r + 5*m + 90 = 0. Let w be 10/(-1 + 3) + 1. What is the remainder when r is divided 