culate the remainder when (2/4)/(5/190) is divided by t.
5
Let z = 70 + -47. Suppose -21 + 61 = 5*n. Calculate the remainder when z is divided by n.
7
Suppose 0 = -f - f + 8. Suppose d - 2 = f. What is the remainder when d is divided by 4?
2
Suppose 2*l = -2*k - 4, 2*k + 3*l = -1 - 8. Suppose -2*i = k*i + 75. What is the remainder when 30*(-1 - 33/i) is divided by 19?
17
Calculate the remainder when 428/18 - (-2)/9 is divided by (-9)/(-2)*8/4.
6
Let q = -1 - -7. Let x = 11 - q. Calculate the remainder when 9 + (-1)/1 + 0 is divided by x.
3
Let u(s) = 3*s**2 + 12*s - 1. Calculate the remainder when u(-7) is divided by 16.
14
Let c(n) = 8*n + 1. What is the remainder when c(1) is divided by 5?
4
Suppose 0 = 4*f - 23 + 3. Suppose f*d - 3 - 137 = 0. Calculate the remainder when 110 is divided by d.
26
Let p(u) = -u**3 + 10*u**2 - 12*u + 12. Let c be p(9). What is the remainder when 21 is divided by 15*(3 - (-39)/c)?
3
What is the remainder when 3/6*(0 - -22) is divided by 3?
2
Calculate the remainder when 89 is divided by 4*((-9)/27)/((-2)/69).
43
Suppose -14 - 88 = -3*l. Calculate the remainder when 100 is divided by l.
32
Let p be (-2)/(-10) + 72/40. Calculate the remainder when 26 is divided by 6*3*p/4.
8
Suppose 4*k - 24 = -0*k. Let o be (-3)/9 - 34/6. Let f(a) = -a**3 - 7*a**2 - 8*a - 8. Calculate the remainder when k is divided by f(o).
2
Let x = -103 - -162. What is the remainder when x is divided by 15?
14
Let s = 126 + 143. Suppose 0 = -5*q - 104 + s. What is the remainder when q is divided by 9?
6
Suppose 3*a + 25 = 8*a. Suppose 33 = x + 2*s, 4*x + a*s - 4*s = 97. Calculate the remainder when 67 is divided by x.
21
Let l(s) = -s - 7. Let b be 2/(-6) - 29/3. Let q be l(b). Suppose -q*m + 43 = -4*j, 2 - 5 = m + 3*j. What is the remainder when 26 is divided by m?
8
Suppose -4 = -0*r - 2*r. Suppose -2*p = r*w - 14, -12 = 3*p - 3. Calculate the remainder when 17 is divided by w.
7
Let d(l) = l**3 + 8*l**2 + 10*l + 29. What is the remainder when 15 is divided by d(-7)?
7
Suppose 0*n - 3*n + 312 = 0. Let m = n - 62. What is the remainder when m is divided by (2/(-3))/((-1)/33)?
20
Let m(o) = o**3 + 12*o**2 + 14. Suppose -3 + 53 = 2*f. Calculate the remainder when f is divided by m(-12).
11
Suppose -4*s - w + 46 = 0, -5*s + 0*w + 3*w = -66. What is the remainder when s is divided by 0/(2/((-2)/(-3))) - -7?
5
Let y be 19/4 - (-3)/12. Suppose q + 3*g = 35, 233 = y*q - 4*g - 18. Calculate the remainder when q is divided by 12.
11
Suppose -5*w + 25 = 3*z, z = -4*w + 10 + 3. Let a(g) = 5*g + 0 - 9 + 3. Calculate the remainder when a(z) is divided by 7.
5
Let h(w) = w**2 - 4. Suppose -9 = 3*k - 0*k. Let l be h(k). Suppose t + 64 = l*t. Calculate the remainder when t is divided by 9.
7
Let b(s) = -s + 4. Let h be b(2). Let v be ((-6)/h)/((-12)/8). Calculate the remainder when ((-17)/v)/(6/(-12)) is divided by 9.
8
Let f = 105 - 71. Let j be (-8)/(-4) + 2/1. Suppose -4*a + 52 = j*u, 2*u - 58 = -5*a + 4*u. Calculate the remainder when f is divided by a.
10
Suppose -6*p + p + 4*d + 135 = 0, 2*p = -5*d + 54. Let y(j) = -7*j + 29. Calculate the remainder when y(-11) is divided by p.
25
Calculate the remainder when (12/8 - 2)*104/(-2) is divided by 14.
12
Suppose 25 = 2*z - 13. What is the remainder when z is divided by 11?
8
Let r = -11 - -11. Suppose r = 5*v - 2*v. Suppose -2*h = -v*h - 60. Calculate the remainder when h is divided by 16.
14
Let d be (2 - -2)*(-2)/(-8). Suppose 3 = 2*n - d. Suppose u + n*u - 21 = 2*v, 2*u - 2*v - 16 = 0. Calculate the remainder when 13 is divided by u.
3
Suppose -4*d + 54 = 5*d. What is the remainder when 40 is divided by d?
4
Let k be (0/(-2))/(-2) + 0. Let o = k + -2. Let f(j) = 8*j**2 + 3*j + 2. What is the remainder when f(o) is divided by 10?
8
Let n(p) = p**2 - 7*p + 2. Let m be n(12). Suppose 0*z + m = z. Calculate the remainder when z is divided by (1*21 - 1) + 1.
20
Let p = 92 - 85. Calculate the remainder when 30 is divided by p.
2
Suppose 0 = -3*b + 77 + 94. Calculate the remainder when 282 is divided by b.
54
Suppose -5*z + 27 = -93. Calculate the remainder when z is divided by 3 + (-9)/(9/(-10)).
11
Let y = 13 - 5. What is the remainder when 37 is divided by y?
5
Suppose -2*v - 5 = -1. Suppose -16 - 19 = -5*a. Calculate the remainder when (16 - 3)/(v/(-2)) is divided by a.
6
Let w(x) = -x**3 - 7*x**2 - 5*x + 8. Let o be w(-6). Let n(k) = k**o + 2*k - 4 + 4. What is the remainder when n(4) is divided by 13?
11
Let g(z) = z**2 + 8*z + 5. Suppose -4*y - 29 - 3 = 0. Calculate the remainder when 9 is divided by g(y).
4
Let f = -3 + 5. Suppose -f*a - 12 = -3*a. Let w = -33 + 67. What is the remainder when w is divided by a?
10
Let p(o) = 2 - 5 + 2 - 5*o**3 - 2*o + 0. Suppose -4*j + 56 = -4*l, 0*l + 20 = -4*l. What is the remainder when j is divided by p(-1)?
3
Suppose -2*f + 3*b = -0*b - 50, 2*f + 2*b - 40 = 0. Suppose -42 - f = -4*d. Let h(n) = n + 1. Calculate the remainder when d is divided by h(5).
4
Suppose 32 = -f + 5*f. What is the remainder when (-2)/(-8) + 230/f is divided by 16?
13
Let b = -47 + 57. What is the remainder when 26 is divided by b?
6
Suppose 4*r + 65 = 5*c, 5*r + 13 = c + 2*r. Calculate the remainder when c is divided by 5.
3
Suppose 5*h - 26 = -1, 0 = 4*w + 5*h - 29. What is the remainder when 12 is divided by w?
0
What is the remainder when (-2)/(-5) + (-519)/(-15) is divided by 12?
11
Let c(n) be the first derivative of n**4/4 + n**3 - 3*n**2/2 - 2*n - 1. Suppose -3*h + 2*h = 2. What is the remainder when 14 is divided by c(h)?
6
Let x = 0 + 3. Suppose x*m - m = 20. What is the remainder when 28 is divided by m?
8
Suppose -3*x + x - 5*a + 19 = 0, -19 = -5*x - 3*a. Let h(d) = 5*d + 1. What is the remainder when h(x) is divided by 7?
4
Suppose -3*s + 0*s + 5*p - 11 = 0, -s + 2*p = 5. Calculate the remainder when 21/(-2 + (-14)/(-4)) is divided by -3*(1 + (-8)/s).
4
Let j(a) = -a**3 + 3*a**2 - a + 1. Let b be j(3). Calculate the remainder when 14 is divided by -2 - (-18)/((-6)/b).
2
Let n(f) = 8*f**2 + 2*f - 1. Suppose p = -2*z, 3*p = z + 7*p + 7. Calculate the remainder when 34 is divided by n(z).
7
Let h(x) = x**3 - 2*x**2 + 4*x + 2. Calculate the remainder when h(5) is divided by 11.
9
Let c(q) = q - 1. Let j(f) = 7*f - 22. Let l(z) = 6*c(z) - j(z). What is the remainder when l(10) is divided by 3?
0
Suppose 0 = -0*j + j - 19. Suppose -2*w + 2 = l, -2*l - 3 = -2*w - 31. What is the remainder when j is divided by l?
9
Suppose 0 = 3*m - 0*m + 2*f - 61, -2*f = 5*m - 103. Let a = -30 - -36. What is the remainder when m is divided by a?
3
Let r be (-1)/(2/(-72)) + -1. Let x be 0 - (-1*r + 2). Suppose -4*k + x = -15. What is the remainder when k is divided by 7?
5
Suppose 0 = z - 3*t - 76, 3*z - 150 = -t + 48. Calculate the remainder when z is divided by 23.
21
Calculate the remainder when 0/1 - 803/(-11) is divided by 19.
16
Suppose -3*g + 104 = g. Calculate the remainder when g is divided by 14.
12
Suppose -k - 2 = -4*g, g + k + 8 = -3*k. Let p be (3 - g)*80/12. Suppose 3*r - p = -r. Calculate the remainder when r is divided by 3.
2
Let b be (-3)/6 + 1/2. Let n = 25 + b. What is the remainder when 73 is divided by n?
23
Suppose -8*z + 3*z + 50 = 0. Calculate the remainder when 69 is divided by z.
9
Let k = 17 + -8. Suppose k*h - 6*h - 84 = 0. Calculate the remainder when h is divided by 16.
12
Let k(n) = 2*n**3 - 5*n**2 + 3*n - 6. What is the remainder when k(4) is divided by 8/48 + (-83)/(-12)*2?
12
Let b be (-3)/(-5) + (-468)/30. Let v = b + 32. What is the remainder when v is divided by 4?
1
Suppose q = -4*y + 6, 4*y - 14 - 12 = -3*q. What is the remainder when q is divided by ((-14)/1)/(1 - 3)?
3
Let z(p) = -p**2 + 7*p - 1. Let r(b) = 5*b**2 - b. Let k be r(1). Suppose 19*v + 210 = 29*v. Calculate the remainder when v is divided by z(k).
10
Let l = 2 + 5. Suppose 4*g + 3*o = 92, -18*g + 28 = -16*g - 3*o. What is the remainder when g is divided by l?
6
Let v(x) = -2*x + 7*x**2 + 3 + 2 - 3*x - x**3 + 2. Calculate the remainder when v(5) is divided by 11.
10
Let u(j) = j**2 + 4*j + 2. Let x(p) be the third derivative of -p**4/24 + p**2. Let n(a) = u(a) + 5*x(a). Calculate the remainder when n(-5) is divided by 11.
10
Suppose -5*m - 3*p = -5, -5 = -6*m + m + 4*p. Let f = -11 - -12. Calcul