 the remainder when b/(-2)*(-184)/(-20) is divided by z.
10
Suppose -53 = f - 3*a, 0*a - 5*a - 265 = 5*f. Let y = -50 - f. Suppose -3*r + 20 = 4*t, -t + 0*t - 10 = -3*r. What is the remainder when y is divided by t?
1
Suppose -2*p + 53 = 5*m, -5*p - 7*m + 2*m = -95. What is the remainder when 120 is divided by p?
8
Let c(k) = -k**3 - 35*k**2 - 123*k + 43. Calculate the remainder when 1076 is divided by c(-31).
8
Let s(a) = -9*a**2 + a. Let q be s(1). Let g(v) = v**3 + 9*v**2 + 8*v + 7. Calculate the remainder when 24 is divided by g(q).
3
Let k(z) be the first derivative of z**3/6 + z**2/2 - 3*z + 10. Let w(l) be the first derivative of k(l). What is the remainder when 11 is divided by w(5)?
5
Let x = 2 - 4. Suppose -m + 2*y - 3 = 4*y, 5*y + 18 = -m. Calculate the remainder when m is divided by (2/(-1))/x - -3.
3
Let q(m) = 13*m**2 + 3*m - 3. Let i be q(2). Suppose 7*o - i - 36 = 0. What is the remainder when 37 is divided by o?
11
Suppose 4*b + 9 = 3*c - 4, 0 = 3*c + 3*b - 6. Calculate the remainder when (1 - c)*57/(-6) is divided by 5.
4
Calculate the remainder when 415 is divided by (4/(-10))/((-9)/3015).
13
Let q(j) = -j**2 - 19*j + 39. Calculate the remainder when q(-16) is divided by 47.
40
Let v(t) = -12*t - 9. Suppose 5*s - 27 = 3. Let a = -10 + s. Calculate the remainder when v(a) is divided by 7.
4
Let g = -478 + 507. What is the remainder when 228 is divided by g?
25
Let y = -20 - -22. Let l be ((-6)/(-21))/(y/28). Suppose -18 = -5*j - n, l*j - 8 - 2 = -3*n. What is the remainder when 17 is divided by j?
1
Let g be (-2)/((8/(-5))/4). Let o(r) = -3*r**3 + 7*r**2 - 4*r - 5. Let z be o(g). Calculate the remainder when 1/(z/114 - -2) is divided by 13.
12
Let p(s) = 5*s + 83. Let j(b) = -3*b - 55. Let l(v) = -8*j(v) - 5*p(v). Calculate the remainder when 32 is divided by l(8).
15
Suppose 414 = 5*g + 3*s, -3*s = 1 + 5. Calculate the remainder when 585 is divided by g.
81
Let l(r) = 10*r**2 + 27*r + 4. What is the remainder when 110 is divided by l(-4)?
54
Let y = -83 - -123. Let a = 55 - y. Calculate the remainder when 104 is divided by a.
14
Let v be -1*5*(-6)/3. Suppose -3*n = -5*n - v. Let j(m) = m**3 + 6*m**2 + m + 6. What is the remainder when 103 is divided by j(n)?
25
Suppose -2*y = 5*c + 458, 3*c - c + 5*y + 200 = 0. Let p = 132 + c. Suppose -4*f + 166 = p. What is the remainder when f is divided by 17?
14
Let l = 21 - -2. Suppose 4*n = 17*n - 156. What is the remainder when l is divided by n?
11
Suppose 0 = c - 2. Let m(n) = -17*n - 11 - 3 + 1 - c - n**2. Calculate the remainder when 58 is divided by m(-15).
13
Calculate the remainder when (0 - 10/8)/(58/(-30856)) is divided by 37.
36
Suppose 11 - 43 = -2*l. Let b = 19 - l. Calculate the remainder when 11 is divided by b.
2
Let o(l) = l**3 + 7*l**2 + 2. Let s be o(-7). Suppose -u = 4*d + 74, 0 = -2*u - s*u + 5*d - 233. Let p = -15 - u. What is the remainder when p is divided by 16?
15
Suppose -2*h - 2369 = -5*d, -3*d = 3*h - 458 - 955. What is the remainder when d is divided by 17?
14
Let f(x) = -3*x**2 - 4*x + 6. Let s be f(-4). Suppose k + 0*k + 39 = 0. Calculate the remainder when k/s + (-31)/(-2) is divided by 6.
5
Suppose -226 = 2*l + 146. What is the remainder when (-8)/(-20) - l/10 is divided by 5?
4
Suppose -10*b = b. Suppose b = 7*s + 19 - 586. What is the remainder when s is divided by 28?
25
Let f = 25 - 16. Suppose 7*j - 47 - f = 0. What is the remainder when 21 is divided by j?
5
Let t(f) be the first derivative of -f**4/4 + 10*f**3/3 - 6*f**2 + 2*f + 1. What is the remainder when t(8) is divided by 400/44 + (-33)/363?
7
Suppose 2*x - 3*o - 243 = 0, -3*x + 3*o + 186 = -180. Let l = 184 - x. Calculate the remainder when l is divided by ((-18)/45)/((-2)/80).
13
Let r be -4 + 4 + -3 + -87. Let o = 156 + r. Calculate the remainder when o is divided by 17.
15
Let a(n) = -n**2 + 8*n - 3. Suppose 7*r = 2*r + 20. Suppose 4*g - 75 = 3*k, -50 = -3*g + g + r*k. Calculate the remainder when g is divided by a(6).
6
Suppose -17*z + 819 = -14*z. Calculate the remainder when z is divided by 93.
87
Calculate the remainder when (-32)/(((-2)/(-8))/(-1)) is divided by ((-5)/((-20)/(-4)))/((-5)/215 - 0).
42
Suppose 0 = 5*a - 5, 4*g + 88 = a - 37. Let j = -26 - g. Suppose p - 3 = j. Calculate the remainder when 21 is divided by p.
5
Let s = -638 - -678. What is the remainder when 958 is divided by s?
38
Let q(f) = 2*f + 66. What is the remainder when q(8) is divided by 21?
19
Suppose -3*x - 8*a = -5*a - 30, 2*x = -a + 17. Calculate the remainder when 12 is divided by x.
5
Suppose 2*a - 340 = -4*g, -4*g + 6*g = 4*a - 650. Suppose -2*i + 3*c = -a, -c - 1 - 3 = 0. What is the remainder when i is divided by 32?
12
Let a(q) = -20*q + 1. Let w(o) = o - 9. Let c be w(8). Calculate the remainder when ((-61)/(-1) + 0)*1 is divided by a(c).
19
Suppose 19 = 3*a + 7. Suppose -8*q - 4*g + 330 = -3*q, 5*g + 264 = a*q. Calculate the remainder when q is divided by 17.
15
Let n = 15 - 16. Let c be (n + (-8 - 0))*1. Let v = c - -12. What is the remainder when v is divided by 3?
0
Let u = 44 + -29. Let s = -43 - -40. What is the remainder when u is divided by (-2)/(s + 1) + 5?
3
Let o(j) = 2*j**3 + 11*j**2 - 17*j - 5. What is the remainder when 427 is divided by o(2)?
7
Let u(q) = q + 14. Let t = 17 - 5. What is the remainder when u(t) is divided by 4/10*(-2 - -37)?
12
Let m(h) = 3*h - 3. Let u(i) = -12*i - 26. Calculate the remainder when u(-7) is divided by m(6).
13
Suppose 3*m = -2*m + o + 2, -o - 2 = 4*m. Suppose -4*c + m*c + 168 = 0. Let f = -19 + 41. What is the remainder when c is divided by f?
20
Suppose -6*r = -2*r + 48. Let j = r - -16. Suppose -3*w = -j*w + 72. What is the remainder when w is divided by 15?
12
Let y be (-15)/2*208/65. Let s = y + 109. Suppose -5*i + 179 = 34. Calculate the remainder when s is divided by i.
27
Suppose -13*u + 25 = -18*u. Let z(j) = -12*j - 45. Calculate the remainder when z(u) is divided by 8.
7
Suppose 4*j - 101 = 403. Let t(q) = -q**2 - 20*q - 52. What is the remainder when j is divided by t(-6)?
30
Let o = 69 + -81. Let p = o + 23. Calculate the remainder when 20 is divided by p.
9
Suppose -4*j = -2*z - 1 - 1, 2*z - 10 = -2*j. Suppose -1 + 9 = j*a. Suppose -4*q - l = -43, l + a = -3*l. Calculate the remainder when 31 is divided by q.
9
Let b(z) = 4*z**2 + 86*z - 10. Calculate the remainder when 46 is divided by b(-22).
12
Suppose -8*a + 5*m - 55 = -12*a, 5*a - m = 105. Calculate the remainder when 175 is divided by a.
15
Suppose 2*i = -4*o, i + 3*o = -0*i - 2. Suppose t = 5*m - t - 59, -4*m + 50 = -3*t. Let x = 20 - m. What is the remainder when x is divided by i?
1
What is the remainder when 16 is divided by 5*(-36)/(-42) - 4/14?
0
Suppose -7*b = -3*b - 36. Let j = 6 - b. Let m = 13 + j. What is the remainder when 37 is divided by m?
7
Suppose -21*p + 10*p = -1947. What is the remainder when p is divided by 45?
42
Suppose 21*g + 56 = 25*g. Calculate the remainder when 41 is divided by g.
13
Let z(d) = -d**3 + 3*d**2 + 2*d. Let k be z(-3). Suppose -k = -2*h - h. Calculate the remainder when 8/(-20) - 681/(-15) is divided by h.
13
Let y(c) = c + 19. Let l be y(-10). Let g(z) = z**2 - 10*z + 19. Calculate the remainder when 48 is divided by g(l).
8
Let s(o) = o**3 - 11*o**2 + 26*o - 9. Calculate the remainder when s(9) is divided by 16.
15
Suppose 16*b = 3*z + 11*b - 437, 2*b = 3*z - 443. What is the remainder when z is divided by 100?
49
Let k = -30 + 99. What is the remainder when 272 is divided by k?
65
Let u(h) = -h + 21*h**2 + 2*h + 7*h**2. Let r be u(-2). Suppose 38 + r = 4*o. What is the remainder when o is divided by 13?
11
Let s(a) = 4*a**3 + a**2 - 8*a - 10. Let f be s(-4). Let h = f + 318. What is the remainder when h is divided by 34?
32
Let l be 66/4*24/36. Suppose 4*g + l = 5*g. Calculate the remainder when 153 is divided by g.
10
Let b(a) = a + 23. Let q be b(-19). Suppose q*l - z = 34 + 35, 4*l - 39 = -5*z. Calculate the remainder when 62 - 3*2/3 is divided by l.
12
Let t(l) = 5*l**2 - 4. What is the remainder when 429 is divided by t(-2)?
13
Let r(b) = -3*b**3 - 4*b**2 - 3*b - 4. Suppose -202 - 148 = -25*y. Calculate the remainder when r(-3) is divided by y.
8
Suppose 0 = u + 3*j - 30, 0 = -9*u + 12*u - 2*j - 101. Calculate the remainder whe