- 11. What is the remainder when d(11) is divided by 34?
31
Suppose -4*c + 38 = -3*c. Calculate the remainder when 74 is divided by c.
36
Suppose 2*q + u = 5, -2*q + 0 - 15 = 5*u. Suppose 2*z + q = -d + 21, -12 = -3*d. Calculate the remainder when 6/(-9) - (-178)/z is divided by 16.
13
Let a(n) = -n**3 + 2*n**2 + 75. What is the remainder when a(0) is divided by 13?
10
Suppose 46 = z - 5*u + 3, u = 0. Let l = z + -23. Let d = 30 - l. Calculate the remainder when d is divided by 6.
4
Suppose -20*o + 34 = -18*o. Calculate the remainder when 33 is divided by o.
16
Let g(h) = -h**3 + 9*h**2 - h - 3. Suppose -3*n = -x - 55, 5*n + 0*x - 93 = 3*x. What is the remainder when g(8) is divided by n?
17
Let b = 407 - 287. What is the remainder when b is divided by 31?
27
Calculate the remainder when 4/3*(-234)/(-12) is divided by 10.
6
Let g = 11 - 7. Calculate the remainder when -15*(96/18)/(-8) is divided by g.
2
Let s(b) = 19*b + 9. Let h be (6/(-2))/(-1 + 0). Calculate the remainder when s(h) is divided by 23.
20
Suppose 0 = -12*z + 259 - 43. Calculate the remainder when 177 is divided by z.
15
Let f(i) = -i**3 + 3*i**2 + 6*i - 6. Let l be f(4). Suppose 10 = s - l*w, -3*w + w - 52 = -4*s. Let z = 82 + -42. What is the remainder when z is divided by s?
12
Suppose 151 = 4*z + 2*g - 3*g, 4*z - 149 = 3*g. Let k be (-2 - (1 - 5)) + -3. Calculate the remainder when z is divided by k*3 + (-64)/(-4).
12
Suppose -v - 6 = 3*k, 5*v + 4*k = 31 - 94. Let i = 19 + -11. What is the remainder when 3/15 + (-342)/v is divided by i?
7
Let d = -118 - -130. What is the remainder when 130 is divided by d?
10
Suppose -l + 4 = -3*l - 4*x, x + 7 = l. Suppose 3*a - l*a = 0. Let b(z) = z + 3. Calculate the remainder when b(a) is divided by 2.
1
Let p = -169 - -201. Calculate the remainder when 63 is divided by p.
31
Let o be (-2)/(5 - 3)*15. Let b = 40 + -20. Calculate the remainder when b is divided by 14*(o/6)/(-5).
6
Let x = -27 + 16. Let b = x + 63. Calculate the remainder when b is divided by 18.
16
Let o = 9 - -8. Let i = 4 + -2. Suppose i*n - 20 = 78. Calculate the remainder when n is divided by o.
15
Suppose 0*y - 3*y + 4*z = -192, -y = -z - 63. Calculate the remainder when y is divided by 31.
29
What is the remainder when 54/8 - 2/(-8) is divided by 3?
1
Let y(i) = 3*i - 1. Let z be y(2). Let m(f) = -f**3 + 7*f**2 - 6*f. Let h be m(6). Suppose -2*l - z + 25 = h. Calculate the remainder when l is divided by 6.
4
Suppose -2*n + 5*h + 15 = -n, -2*n = 5*h + 30. Let b(l) be the first derivative of -3*l**2 - 2*l - 5. Calculate the remainder when b(n) is divided by 15.
13
Let i(d) = -d**2 + 8*d - 7. Suppose w + 1 = 7. Let y(a) = -a**2 + 8*a - 7. Let j(h) = w*i(h) - 5*y(h). What is the remainder when 23 is divided by j(5)?
7
Let m(z) = -z + 4. Suppose 4*w - 12 = -5*c - 49, -4*w = -c + 7. What is the remainder when 16 is divided by m(c)?
7
Suppose 5*j - 39 = 2*j. Let l(f) = f**3 + 7*f**2 + f + 5. What is the remainder when l(-5) is divided by j?
11
Let x be 1 + (2 - 2) + -6. Calculate the remainder when 27 is divided by ((-14)/5)/(1/x).
13
Suppose -2*w - 10 = f, -3*f - 20 = 2*f + 4*w. Suppose f = k - 3*h + 8*h - 67, -235 = -5*k - 5*h. Calculate the remainder when k is divided by 11.
9
Let v(y) = -4*y + 17. What is the remainder when 96 is divided by v(-4)?
30
Let a = 13 + -3. Suppose -a = -5*k - 0. What is the remainder when 4 is divided by k?
0
What is the remainder when 405/12 - (-3)/(-4) is divided by 20?
13
Let u = 50 + -9. Suppose 5*x = -4*r + 56, 4*r = 5*r + 3*x - 14. What is the remainder when u is divided by r?
13
Suppose -2*r + 5*u - 2*u = -8, u + 4 = r. Let i(a) = 1 - 4 + 2 + a. What is the remainder when i(r) is divided by 2?
1
Suppose 0*s = -5*s + 30. What is the remainder when (s/(-9))/(2/(-123)) is divided by 14?
13
Calculate the remainder when 6/(-9) - 95/(-3) is divided by 12.
7
Suppose b - 3*b + 2*p = 30, 4*p + 59 = -3*b. Let h = 0 - b. Calculate the remainder when h is divided by 5.
2
Let c(s) = s**3 + 7*s**2 + 2*s - 16. Calculate the remainder when 28 is divided by c(-6).
4
Let b(r) = -27*r + 1. Let i be (2 - 3)/(2 - 1). Calculate the remainder when b(i) is divided by 5.
3
Suppose 1326 = 3*s - 258. Suppose 0 = -3*m + 8 - 2, 4*m + s = 4*k. What is the remainder when k is divided by 34?
32
Suppose -4 = -2*k + 2. Let m = 7 - -27. Suppose 0 = s - k*f - m, -2*s + 102 = s + f. Calculate the remainder when s is divided by 12.
10
Suppose 5*h - 175 = -30. Suppose 0 = 8*y - 7*y - 15. Calculate the remainder when h is divided by y.
14
What is the remainder when 87 is divided by 17 - 16/(-4) - -1?
21
Let a(j) be the third derivative of -j**2 + 2/3*j**3 + 1/60*j**5 + 5/24*j**4 + 0 + 0*j. What is the remainder when 28 is divided by a(-6)?
8
Let q = -4 - -7. Suppose -h + 25 = 3*x, 0 = x - 6*x - q*h + 39. Suppose 59 = 4*n - 5. Calculate the remainder when n is divided by x.
7
Let u = -44 + 64. Calculate the remainder when 57 is divided by u.
17
Let m(d) = -d**3 + 6*d**2 - 2*d + 7. Let c be m(6). Let b = c + 7. What is the remainder when 6 is divided by b?
0
Let y(l) = -l**2 + 9*l + 23. What is the remainder when y(10) is divided by 4?
1
Let o = -177 - -352. Calculate the remainder when o is divided by 59.
57
Let j(x) = x**3 + 5*x**2 + 4*x. Let i(f) = 4*f**2 + 1. Let r be i(-1). What is the remainder when (-3)/((-3)/r)*2 is divided by j(-3)?
4
Suppose -3*t + y + 166 = 0, 3*t - 3*y = y + 169. Calculate the remainder when t is divided by (-70)/4*(-4)/5.
13
Let c = 3 + -3. Suppose c = -2*q - 2*q - 80. Calculate the remainder when 23 is divided by (2/(-5))/(1/q).
7
Let f(u) be the third derivative of u**4/24 - u**3/6 - 2*u**2. What is the remainder when 13 is divided by f(6)?
3
Let f be (0 + 4)/(2 + 0). Let n(t) = 0*t + f*t + 4*t. What is the remainder when 34 is divided by n(2)?
10
Let w = 7 - -42. Suppose w = 3*x - 2. Calculate the remainder when x is divided by 10.
7
Let p be 1 + (-2 - -66) + 0. Suppose 0 = 4*r - 3*m - 38, 7*r + 5*m - p = 2*r. Suppose -29 = -2*g + 11. What is the remainder when g is divided by r?
9
Suppose -5*q = -4*a - 10, 2*q - 3*a + 0*a = 4. Suppose -3*r - 5*n + 21 = -r, q*n = 2*r - 28. What is the remainder when r is divided by 7?
6
What is the remainder when 20 is divided by (-126)/(-15) + 4/(-10)?
4
Suppose 3*k - 3 = 0, -4*k - 25 = -n - 5. What is the remainder when 27 is divided by n?
3
Suppose -3 + 81 = 4*p + 5*o, 24 = 2*p - 5*o. Calculate the remainder when 65 is divided by p.
14
Calculate the remainder when 12/(-15) - 747/(-15) is divided by 17.
15
Let u(t) = t**3 - 3*t**2 - 2*t + 6. What is the remainder when 40 is divided by u(4)?
12
Let u = 9 + 2. Let c = u + -4. Calculate the remainder when c is divided by 5.
2
Suppose 4*y + y = 105. Calculate the remainder when 122*(3 - (-5)/(-2)) is divided by y.
19
Suppose 0*u + 3*c - 89 = -4*u, 2*u - c - 57 = 0. Suppose -3*m = 3*n - 33, 3*n + m - 6*m = 17. Calculate the remainder when u is divided by n.
8
Suppose -3*g = 2*s + s - 81, -g + 19 = 5*s. What is the remainder when g is divided by 16?
13
Let o(b) = 27*b - 2. What is the remainder when o(3) is divided by 1/(3 - 2)*27?
25
Let k(c) = c**3 - 5*c**2 - 3*c + 1. Suppose -3*i + 4 = -2. Suppose i*b - 26 = 3*o, 4*b = 6*b - 2*o - 22. Calculate the remainder when k(6) is divided by b.
5
Let b = 4 + -11. Let n be 2/(-3)*(b + 4). Suppose -n*l = 5 - 23. Calculate the remainder when 16 is divided by l.
7
Suppose -4*t + 39 + 37 = -4*y, -2*y - 82 = -4*t. Calculate the remainder when 129 is divided by t.
19
Suppose 0 = -f + 6*f - 25. Suppose -34 = -4*o + 2*x, -5*o = -f*x + 3 - 58. Calculate the remainder when o is divided by 4.
2
Let m = 2 - -3. Let f = -4 + m. Suppose 2*g = 13 - f. What is the remainder when g is divided by 4?
2
Suppose -v - 4*f = -58, -3*v + f + 174 = -0*v. What is the remainder when v is divided by (-10)/4*48/(-8)?
13
Let k be 1/3 + 2/(-6). Suppose k = 4*h + h. Suppose -11 = -4*y - u, -y + 1 = 2*u - h*u. What is the remainder when y is divided by 3?
0
Let f(r) = -6*r - 36. Calculate the remainder when f(-12) is divided by 4 - 2 - (0 - 11).
10
Suppose -2*d + 6*d - 36 = 0. Let f = d + 1. Calculate the remainder when 37 is divided by f.
7
Let y = 12 + -13. Calculate the remainder when 9 + (y - 0 - 2) is divided by 3.
0
Suppose -2*f + 46 = 5*r, 0 