Suppose -19*p + 17*p = -34. Suppose 0 = -4*o - 2*n + 126, 0*o = -o + 3*n + 35. Calculate the remainder when o is divided by p.
15
Let d be (-16)/((3 - 4)/(-1)). Let l be 3 - (-2 - (d + -1)). Let s = l + 23. What is the remainder when 21 is divided by s?
10
Let c(k) = 13*k**2 - 11*k**2 - k + k + 2*k - 2. What is the remainder when 2 is divided by c(1)?
0
Let f = 52 - -67. Suppose -3*a - u + 168 = 0, 0 = 5*a + u - 161 - f. What is the remainder when a is divided by 29?
27
Suppose 9 = -3*y, 5*k - 3*y - 225 = k. Let f = k + -30. What is the remainder when f is divided by 13?
11
Suppose -2*c - 3*k - 2 = 0, c + k = 3 - 2. Suppose 15 = 2*z + c. Let x = -1 - -10. Calculate the remainder when x is divided by z.
4
Let a(w) = -3*w**2 + 1. Let x be a(1). Let d = 4 - 0. Let o = d + x. What is the remainder when 7 is divided by o?
1
Let v(t) = t**3 - t**2 - 1. Let z be v(0). Let d be 5/(0 - (-2 - z)). Suppose 3*i = 0, 0 = -d*c + 4*i + 20. Calculate the remainder when 6 is divided by c.
2
Suppose -33 = -5*a + 137. Calculate the remainder when 67 is divided by a.
33
Suppose 0 = 3*c + 2 + 4, 5*r - 74 = -3*c. What is the remainder when r is divided by 6?
4
Let w(p) = -p + 56. Let n be w(0). Calculate the remainder when (n/(-10))/(4/(-10)) is divided by (-5)/2*1*-2.
4
Suppose 23 - 7 = v. Calculate the remainder when 31 is divided by v.
15
Suppose -2*g = 5*o - 77, -2*o + o + 3*g + 29 = 0. Let i = 26 - o. What is the remainder when 25 is divided by i?
7
Let p(s) = s**2 - 4*s + 6. Let n be p(4). Suppose -14 - 8 = -2*l. Calculate the remainder when (-4 + 1)/(n/(-40)) is divided by l.
9
Suppose -4*c = -4*x - 24, x + 3 = -5*c + 27. Let i = c - 3. Calculate the remainder when 2 is divided by i.
0
Let z(x) = x**3 + 9*x**2 + 3*x - 4. Let r(p) = 5*p**3 + 46*p**2 + 14*p - 21. Let t(f) = -2*r(f) + 11*z(f). Calculate the remainder when 10 is divided by t(-6).
2
Let w(o) = o**2 - 14*o + 19. Let i be w(13). Suppose 0 = 4*j - j - i. Calculate the remainder when 21*1 - (j + -4) is divided by 12.
11
Let r(b) = 13*b. Let l be (-5)/(-3)*3 - 2. Suppose 4 = l*y - y. What is the remainder when r(y) is divided by 14?
12
Suppose -5*c - 20 = 5*y, 3*y + 6*c + 17 = 2*c. Let l be 2/(-1)*-1 - 0. What is the remainder when -1*2*(-1)/l is divided by y?
0
Suppose -2*u = 2*n - 268 + 54, -4*u + 428 = -4*n. What is the remainder when u is divided by 27?
26
What is the remainder when 48 is divided by (-17)/(-1)*(-5 - -6)?
14
Suppose -114 = -3*k - 9*l + 10*l, 3*l - 152 = -4*k. What is the remainder when 111 is divided by k?
35
Let n(o) = 137*o + 1. Let b be n(1). Calculate the remainder when 67 is divided by (b/12)/(1/2).
21
Let c = 8 + -5. Let j = c - -6. What is the remainder when j is divided by 6?
3
Let j(v) = -v**2 - 14*v - 23. What is the remainder when 27 is divided by j(-11)?
7
Let d(p) = -4*p + 3. Let q = 10 + -3. What is the remainder when d(-4) is divided by q?
5
Let f be -2*(-393)/(-12)*-2. Suppose 3*m = -m + 3*d + f, m - 33 = d. Calculate the remainder when m is divided by 17.
15
Suppose c + 98 = 6*c + 2*h, -c + 10 = -2*h. Calculate the remainder when c is divided by 5.
3
Suppose -2*t + 38 - 4 = 0. What is the remainder when t is divided by 6?
5
Let j = -97 + 141. Calculate the remainder when j is divided by ((-6)/(-4))/(3/30).
14
Let r(b) = 5*b - 18. What is the remainder when r(8) is divided by 12?
10
Suppose 0 = -6*b + 332 + 58. Calculate the remainder when b is divided by 17.
14
Suppose -2*p - 2*x + 108 = 0, 3*p = 4*p + 5*x - 42. What is the remainder when p is divided by 30?
27
Let p(x) = -7*x - 44. What is the remainder when 45 is divided by p(-8)?
9
Let r = -11 + 27. What is the remainder when r is divided by (-5 - -10) + 0 + 1?
4
Suppose -3*n - 4*n = -49. Calculate the remainder when 33 is divided by n.
5
Let m(g) = -g**3 + 8*g**2 - 5*g - 2. Calculate the remainder when 20 is divided by m(7).
8
Suppose 0 = 5*v + 4*l, -2*v + 0*l = 3*l. Let g = v - -2. Calculate the remainder when g is divided by (-8)/(-4) + 1 + -2.
0
Let k(s) = s**3 + 3*s**2 - 4*s + 3. Suppose -2*u = u + 12. Let n be k(u). Suppose n*i + 0*i = 93. What is the remainder when i is divided by 16?
15
Let d(n) = 3*n**2 - 13*n - 10. What is the remainder when d(8) is divided by 9?
6
Let b be (9/(-15) + 1)*5. Suppose b*s + u = 9, 3 = 2*u - 3. What is the remainder when 8 is divided by s?
2
Suppose 0 = 7*r - 2*r - 165. Let z(g) = g**2 + 6*g + 2. Let h be z(-6). Calculate the remainder when r is divided by 1 - -1*8*h.
16
Let u = 157 + -82. Suppose -5 = -z, -z - 3*z - u = -5*w. Calculate the remainder when 75 is divided by w.
18
Suppose 2*f = -2*g + 10, 0*g + g + 15 = 3*f. Let i(r) = -r**2 - r + 25. What is the remainder when i(g) is divided by 14?
11
What is the remainder when 75 is divided by (-6)/36 + 67/6?
9
Let k(a) = 3*a**2 + 3*a - 4. Calculate the remainder when k(5) is divided by 44.
42
Suppose -3 + 4 = g. Let d be (-1 + 0)/(5/(-120)). What is the remainder when 35 is divided by (2/4)/(g/d)?
11
Suppose 108 + 8 = 4*i. What is the remainder when 113 is divided by i?
26
Let a(g) = g - 1. Let r be a(1). Calculate the remainder when 75/((-9)/(-6) + r) is divided by 17.
16
Let l be 0 - (3 - 7 - 1). Let w(z) be the third derivative of z**5/60 - 5*z**4/24 + z**3 + z**2. Calculate the remainder when 9 is divided by w(l).
3
Let z(i) = 6 - 6*i**2 + 0*i**2 + 4*i - 2*i - i**3 + 2*i**3. What is the remainder when 53 is divided by z(6)?
17
Let n(b) be the first derivative of b**4/4 + 5*b**3/3 - 5*b**2/2 - 2*b - 1. Calculate the remainder when 89 is divided by n(-5).
20
Suppose 6 = 2*k - 2*h + 4*h, -2*k = -h - 12. Suppose -1 = k*i + 14. What is the remainder when (-82)/i + 2/3 is divided by 10?
8
Let k = -2 + 7. Let a(l) = -l**3 + 8*l**2 + 2. Let d(q) = q**3 - 8*q**2 + q - 1. Let v(j) = -5*a(j) - 6*d(j). What is the remainder when v(k) is divided by 14?
13
Suppose 0 = -2*x - x - 15, -5*s + 190 = -5*x. Calculate the remainder when s is divided by 2/2*(0 + 17).
16
Let q(p) = p + 40. Calculate the remainder when q(-12) is divided by 11.
6
Suppose 5*s + 5*o - 132 = 3*s, -3*s + o = -232. Let w = -39 + s. Calculate the remainder when w is divided by 19.
18
Suppose 4*u - 233 + 65 = 0. Suppose -k = -4 - 0, 0 = -5*v - 3*k + u. Let q = 14 - -2. Calculate the remainder when q is divided by v.
4
Let i(t) be the first derivative of t**4/4 - t**3 - 5*t**2/2 + 4*t - 4. Let p be i(4). Calculate the remainder when (-48 - -1)*-1 + p is divided by 12.
11
Let a = 23 + -21. Suppose 2*c - 2*o - 6 = 4, 5*o + 18 = -2*c. What is the remainder when 1/c*3 + 0 is divided by a?
1
What is the remainder when 134 is divided by 34 + (1 + -1)/(-1)?
32
Suppose 2*o = p + 2*p - 9, 0 = 5*p - 4*o - 13. Suppose -p*s = 297 + 273. Calculate the remainder when 13 is divided by 2/(-9) + s/(-27).
1
Let a = 2 - -1. Suppose -a*p + 147 = -0*p. Let c(d) = 2*d**3 - 4*d**2 + d - 4. Calculate the remainder when p is divided by c(3).
15
Let m(l) = -l - 1. Let i(r) = -2*r. Let g(s) = -i(s) - 3*m(s). Calculate the remainder when g(5) is divided by 15.
13
Suppose -100 = -7*v - 3*v. What is the remainder when 66 is divided by v?
6
Let h(w) = 2*w - 5*w - 3*w. Let o be (-3)/(1/(-8)*-6). What is the remainder when h(o) is divided by 13?
11
Calculate the remainder when 150 is divided by 379/10 + 1/10.
36
Suppose -27 = -2*a - 3. Suppose -38 - 8 = -2*f. What is the remainder when f is divided by a?
11
Let l(h) = -h + 1. Let s be l(-1). Suppose -22 = -s*y - 2*j, 1 = -j + 3. What is the remainder when y is divided by 5?
4
Let f = -8 - -7. Calculate the remainder when 27 is divided by (-19 - -12)/(f*1).
6
Let l(j) = j**3 + 3*j**2 - 2*j - 1. What is the remainder when (2 - (-2 - 16)) + -2 is divided by l(-3)?
3
Suppose -2*t + 17*t - 165 = 0. What is the remainder when t is divided by (-23)/(-4) - (-2)/8?
5
Let t = 16 - 11. Suppose 0*s = 4*i - 2*s + 2, 5*s - t = 0. Suppose -x - x + 2 = i. What is the remainder when x is divided by 1?
0
Let b(g) = -4*g. Let q(t) = -t. Let r(i) = -b(i) + 3*q(i). Calculate the remainder when 24 is divided by r(5).
4
Let r(w) = 2*w + 1. Let p(y) = -y**2 - 5*y - 3. Let h be p(-3). Suppose 0 = 4*u - h*u - 43. Calculate the remainder when u is divided by r(7).
13
Let v(j) = j**3 - 7*j**2 + 6*j + 3. Let n(g) = g + 8. Let o = 0 - 0. What is the remainder when n(o) is d