divided by 21?
16
Let h = -54 - -60. Calculate the remainder when (-4184)/(-24) + 4/h is divided by 11.
10
Suppose -6 + 46 = -8*i. Calculate the remainder when 61/2 - (i - (-35)/10) is divided by 11.
10
Suppose -7*j + 3*r + 80 = -2*j, -2*r + 32 = 2*j. Let k(y) = 4*y**2 - 2*y + 1. What is the remainder when k(3) is divided by j?
15
Suppose 0 = -2*n - z + 49, 0 = 3*n + 5*z + 9 - 86. Let j(w) = 42*w**2 + w. Let m be j(1). Let y = -29 + m. What is the remainder when n is divided by y?
10
Suppose -66*t = -75*t + 45. Suppose -3*s = -12, 2*s - 3*s = -4*h + 108. Calculate the remainder when h is divided by t.
3
Suppose -m - 3*m = -2*c + 30, 0 = -4*c - 12. Let r = m + 29. Suppose -j + r = 7. Calculate the remainder when 51 is divided by j.
12
Let p = 10 + 22. Let r = 22 - p. Calculate the remainder when ((-146)/(-10))/((-2)/r) is divided by 25.
23
Calculate the remainder when 4 is divided by 3/(-2)*38/(-57).
0
Suppose -6*r = -3*r - 102. What is the remainder when r is divided by (-8)/(((-40)/6)/5)?
4
Suppose 0 = 3*o - 4*o + 3*a + 48, -5*a = o - 56. Let s be (-20)/(-6) - (-2)/(-6). Suppose o = s*c - 0*c. Calculate the remainder when c is divided by 6.
5
Let v(u) = u**3 - 9*u**2 + 9. Let s be (0 - (-6)/10) + 504/60. Calculate the remainder when 51 is divided by v(s).
6
Suppose -110 = -4*w + 10. Calculate the remainder when w is divided by (-6)/30 + 168/15.
8
Let m(x) = -x**2 + 23*x - 65. Calculate the remainder when m(8) is divided by 16.
7
Let g = 10 - -14. Suppose 2*t + 12 = 2. Calculate the remainder when 6/(-30) - 226/t is divided by g.
21
Let x(r) = r**2 + 12*r + 17. Let c be x(-9). Let y be 3 + 1/(-1) - c. Let p(j) = j**3 - 11*j**2 - 10*j - 15. Calculate the remainder when 33 is divided by p(y).
6
Let t = 10 - -42. Calculate the remainder when 151 is divided by t.
47
Let z(y) = 24*y - 285. What is the remainder when 498 is divided by z(12)?
0
Let p = -66 + 89. Calculate the remainder when (-2)/4*-183*4/6 is divided by p.
15
Let b(q) = -3*q**2 + 20*q + 2. Suppose -5*x + 2*u = -32, u + 1 = -0*u. What is the remainder when 67 is divided by b(x)?
11
Let k = 84 - 57. Suppose -5*r + 10 = 35. What is the remainder when 81 - ((-3 - r) + -1) is divided by k?
26
What is the remainder when 29 is divided by (-43)/(-6) - 4/(264/11)?
1
Let s(h) = -12*h**2 + 30*h - 5. Calculate the remainder when 211 is divided by s(2).
1
Let w be (-4)/(-6) - 364/42. Let l(m) = -3*m - 10. Calculate the remainder when 67 is divided by l(w).
11
Let j = -125 + 155. What is the remainder when 89 is divided by j?
29
Calculate the remainder when 296 is divided by ((-3)/(-2))/(((-70)/(-5))/308).
32
Suppose 6 = 3*v - v, -2*q - 5*v = 21. What is the remainder when 162 is divided by (-726)/q - 2/(-3)?
39
Suppose -26 + 126 = 5*k. Let d(r) = 3*r - 11. Calculate the remainder when d(k) is divided by 13.
10
Let z(c) = -3*c**2 + 17*c + 9. What is the remainder when 317 is divided by z(4)?
27
Let q = -129 - -73. Calculate the remainder when 1/(2/4) + 19 is divided by (-16)/q*(1 + 20).
3
Calculate the remainder when (-582)/(-1261) - 1411/(-13) is divided by 5.
4
Let k = -333 - -466. Calculate the remainder when k is divided by 69.
64
Suppose 5*o - 74 = 3*c, -3*c = -0 - 6. Let u(y) = -y**3 + 25*y**2 + 2*y - 21. Suppose 0 = -5*n - 6*n + 275. What is the remainder when u(n) is divided by o?
13
Let p be (7 - 6) + 0 + 3. Suppose 0 = -3*x + 6, 3*n - x + 2*x + p = 0. Calculate the remainder when 106 is divided by n/(-4)*(-2 - -56).
25
Let s = 7 - 3. Let l be s/(-22) - (-156)/132. What is the remainder when -5 + l - (-2 + -103) is divided by 34?
33
Let n(z) = z**3 - 3*z**2 + 5*z - 3. Suppose 0 = h + 2*h - 12. What is the remainder when 96 is divided by n(h)?
30
Let j = -41 - -41. Suppose m + 5*m - 132 = j. What is the remainder when 65 is divided by m?
21
Let p(s) = -5*s - 42. What is the remainder when 80 is divided by p(-13)?
11
Suppose -67*c + 121 = -56*c. Calculate the remainder when 49 is divided by c.
5
Let k(f) be the third derivative of f**6/120 + f**5/20 + f**4/24 + f**3/3 - 11*f**2. Suppose -1 + 3 = -i. Calculate the remainder when 7 is divided by k(i).
3
Let g = 50 + -35. Let b(x) be the second derivative of x**4/4 + 11*x**3/3 + 11*x**2/2 - 15*x + 1. Calculate the remainder when b(-9) is divided by g.
11
Suppose -263 = -3*d - t, -7*d + 5*t = -8*d + 97. Suppose 2*l = -3*o - l + d, -3*o - 2*l = -83. What is the remainder when o is divided by 14?
11
Let j be 2 + 0 + -1 + 1. Suppose v - 3*o = j, -4*o = 5*v - 0*o - 105. Suppose 0*m - 10 = -2*m. Calculate the remainder when v is divided by m.
2
Let j(v) = -v**2 + 6*v + 2. Let w be -1 + (-21 + 1)/(-4). Calculate the remainder when 39 is divided by j(w).
9
Let v(d) = 5*d + 21. Let n(u) = -11*u - 43. Let z(m) = 6*n(m) + 13*v(m). Calculate the remainder when z(10) is divided by 2/8 + (-15)/(-4).
1
Suppose 2*b - 2 = 2*j, -j - j - 8 = -4*b. Suppose 0 = 2*w - w + b*r - 38, 114 = 3*w + 4*r. Calculate the remainder when w is divided by 22.
16
Suppose 30*d = 34*d - 540. Suppose 2*j + 33 = d. What is the remainder when j is divided by 18?
15
Let h(o) = -o + 10. Let s be h(8). Suppose -2*u = s*u + 36. What is the remainder when ((-6)/u)/((-4)/(-186)) is divided by 8?
7
Let u(z) be the third derivative of -z**6/120 + 7*z**5/20 + z**4 - 5*z**3 + 21*z**2. Calculate the remainder when u(22) is divided by 7.
0
Let f(k) = 29*k + 2. Let q(s) = -s**3 - 2*s**2 - s. Let a be q(-2). Let c be f(a). Suppose 16*n = 12*n + c. What is the remainder when 88 is divided by n?
13
Let a(v) = v**3 + 9*v**2 + 3*v - 6. Let z be a(-6). Suppose 2*s + 6 - z = 0. What is the remainder when s is divided by 21?
18
Let z = -5 - -17. Suppose 2*i - 42 = -2*l, 11 = i + 3*l - 12. What is the remainder when i is divided by z?
8
Let a(q) = q + 3. Let z be a(-3). Suppose b - 6*b + 675 = z. What is the remainder when b is divided by 34?
33
Let k = 1997 + -1417. Suppose y = -4*y + k. What is the remainder when y is divided by 17?
14
Let o(w) = -57*w - 39. What is the remainder when 773 is divided by o(-1)?
17
What is the remainder when 688 is divided by (7/(-14))/((-3)/318)?
52
Let p(v) be the third derivative of -v**6/120 + 3*v**5/20 + v**4/4 - 13*v**3/6 + 6*v**2. Calculate the remainder when p(9) is divided by 31/3 + -3 + (-7)/21.
6
Suppose -9 = -c - 4*j, -11*j = -2*c - 8*j + 51. Let f(s) = 2*s + 6. Let n be f(-5). Calculate the remainder when c is divided by (-4)/((-2)/n + -1).
5
Suppose -6*m = -0*m - 48. Suppose 5*y = p - 10, 5*y - m*y = 0. Calculate the remainder when 18 is divided by p.
8
Let c(x) = -x**2 + 3*x + 5. Let b be c(-2). Let s = b - -10. Suppose -s*d + 21 = -4. Calculate the remainder when 12 is divided by d.
2
Let p = 9 - -3. Suppose -d + 42 = -p. What is the remainder when d is divided by 19?
16
Let t = -1 - -1. Suppose -3*j - j + 8 = t. What is the remainder when 47 is divided by (5*j)/((-12)/(-30))?
22
Let n = 115 + -75. Let h(l) = -l - 17. Let o be h(15). Let d = -11 - o. Calculate the remainder when n is divided by d.
19
Suppose 265 = -13*z + 408. Let c = -4 - -7. Calculate the remainder when z is divided by c.
2
Let x = -2 - -8. Let m = 59 + -17. What is the remainder when (-1)/(-1 + 40/m) is divided by x?
3
Let t(c) = -c**2 + 7*c + 48. Calculate the remainder when 231 is divided by t(11).
3
Let d(x) = -3*x - 49. Suppose -328 = -6*q + 2*q. Calculate the remainder when q is divided by d(-21).
12
Suppose -77 - 139 = -27*q. Calculate the remainder when 101 is divided by q.
5
Suppose -7*k + 12*k = -5, -3*f - 4*k + 152 = 0. Suppose b - 18 = 3*r - 5*r, 0 = 2*b. What is the remainder when f is divided by r?
7
Suppose 100 = -0*f + 5*f - 5*a, 4*f + 2*a = 86. Suppose -3*p - f = 6. Let b = p - -28. What is the remainder when 37 is divided by b?
18
Suppose -3*i + 5*k = -125, 0 = -2*k + 10 - 6. Calculate the remainder when i is divided by 22.
1
Suppose -72 = -2*g - 18. Let j(m) = m**2 - 4*m + 11. What is the remainder when j(-8) is divided by g?
26
Suppose -4*q + a + 3*a = -508, -q + 147 = -5*a. Let m(w) = -w**3 - 7*w**2 + 7*w + 17. What is the remainder when q is divided by m(-8)?
22
Let b(p) = 3*p**2 + 4*p + 2. Let r = 476 - 327. Let g = -101 + r. What is the remainder when g is divided by b(-3)?
14
Let v(d) = 0 - 18*d + 3 - 2. Let y be v(-2). Let q = y - 17. What is the remainder w