 the remainder when 69 is divided by m?
9
Suppose 0 = 5*y + u - 32 - 18, 0 = -5*y + 4*u + 25. Let m = -29 - -54. What is the remainder when m is divided by y?
7
What is the remainder when 58 is divided by (-78)/(-5) + ((-28)/(-35))/2?
10
Suppose 0 = -2*p + 4*r - 9 + 63, 0 = -4*p + 2*r + 84. Let c be 1 - p/(3/(-3)). Suppose 3*l = l + c. What is the remainder when l is divided by 6?
4
Suppose -q = 5 + 15. Let v be 9/(-4) + (-5)/q. Let k(s) = -3*s**3 + 2*s**2 - 2*s - 3. Calculate the remainder when k(v) is divided by 12.
9
Let z(m) = -6*m. Let u be z(1). Let t be (-3)/((-9)/u) + 17. Suppose 3*h - 33 = -0*y + y, -t = -h - y. What is the remainder when 23 is divided by h?
11
Let k(s) = 2 - s**2 - s + 0 + 2*s. Suppose 2 - 4 = -b. What is the remainder when b is divided by k(0)?
0
Suppose 0 = 12*u - 770 - 214. Let p = -66 - -94. What is the remainder when u is divided by p?
26
Calculate the remainder when 339/9 - (-5)/15 is divided by 14.
10
Suppose -3*u + 0*u + 21 = 0. Calculate the remainder when 20 is divided by u.
6
Suppose 0 = 3*q - 4*x - 49, -q = -0*x + 5*x - 10. Let j(s) = -s**3 + 16*s**2 + 43. Calculate the remainder when j(16) is divided by q.
13
Suppose 0 = 57*i - 52*i - 45. Calculate the remainder when 44 is divided by i.
8
Let p = 83 - 38. Suppose -48 - 12 = -4*a - u, -4*u - 96 = -5*a. Calculate the remainder when p is divided by a.
13
Suppose w + 2 = -2. Suppose 189*p + 22 = 191*p. What is the remainder when w*((1 - -1) + -10) is divided by p?
10
Suppose t - 2*i = 36, -2*t - 3*t + 180 = 3*i. What is the remainder when t is divided by 13?
10
Suppose 3*r - 30 = 15. Let n = r + 4. Calculate the remainder when 35 is divided by n.
16
Let j(b) be the third derivative of -b**4/4 - b**3/6 - 2*b**2. Let k(q) = 19*q**3 + 2*q**2 - 1. Calculate the remainder when k(1) is divided by j(-2).
9
Suppose 4*x = 20, -2*x + 47 = -3*y - 2. Let i = y + 19. Suppose -2*l + 65 = 2*h + 3*h, 4*l = -3*h + 53. What is the remainder when h is divided by i?
5
Suppose 3*o + 6*c - 29 = c, 2*o + 6 = 3*c. Suppose 4*d = o*w - d - 40, -5*d = 2*w - 60. Calculate the remainder when 39 is divided by w.
19
Suppose -f - 3*f + 53 = -5*r, -5*f + 4*r = -64. Let u = -59 - -94. Calculate the remainder when u is divided by f.
11
Let p = 163 + -55. Suppose -3*s = s - p. Calculate the remainder when s is divided by 7.
6
Let u(b) = -b**2 - 2*b - 3. Let c be u(-12). Let k = c - -187. What is the remainder when k is divided by 22?
20
Let x(l) = l**2 - 7*l + 4. Suppose 3*p = 5*h - 2, 2 = -2*h + 3*p + 10. What is the remainder when x(7) is divided by h/(-3) + 21/9?
1
Let k = 45 - 37. What is the remainder when 15 is divided by k?
7
Suppose 0 = j + n - 103, 2*j - 65 = n + 147. What is the remainder when j is divided by 27?
24
Let k be 38/((2/12)/(-1)). Let m = 20 + -4. What is the remainder when k/(-5) - 2/(-5) is divided by m?
14
Let v(s) = 7*s**3 - 4*s**2 - 3*s - 3. Let n be v(4). What is the remainder when (6/(-9))/((-6)/n) is divided by 14?
13
Let j = -10 + 23. What is the remainder when j is divided by 8?
5
Let v = 68 + -7. Let f = 85 - v. Suppose 3*n + 9 = 0, -4*g + 3*g = -5*n - f. What is the remainder when 26 is divided by g?
8
Suppose -6*i + i - 249 = -3*l, 3*l - i = 237. What is the remainder when l is divided by 20?
18
Let l = -27 + 91. What is the remainder when l is divided by 17?
13
Suppose 0 = i - 16 + 4. What is the remainder when i is divided by 4?
0
Let n(p) = -p + 18. What is the remainder when 25 is divided by n(9)?
7
Let b(t) = 3*t - 1. Let q be b(-3). What is the remainder when (-3)/(-15) + (-188)/q is divided by 7?
5
Suppose 25 = 2*v - 5. Calculate the remainder when v is divided by 6.
3
Let q be -3 - -3 - (0 - 2). Let f be (-7)/((-7)/12) + q. Suppose -w + 37 = f. What is the remainder when w is divided by 8?
7
Suppose 4*s = 108 - 40. Suppose -2*d + s = -13. Calculate the remainder when 58 is divided by d.
13
Suppose 0 = j + j - 12. Let a = j - 3. What is the remainder when a + 0/(-3) + 1 is divided by 2?
0
Let y(x) = 7*x**3 - 2*x + 3. Let b(f) = -15*f**3 + f**2 + 3*f - 6. Let i(w) = 6*b(w) + 13*y(w). What is the remainder when 37 is divided by i(-7)?
7
What is the remainder when (-3)/(-21) + (-388)/(-28) is divided by 8?
6
Let u(m) be the first derivative of -m**4/4 - 7*m**3/3 + 7*m**2/2 + 9*m + 4. What is the remainder when 49 is divided by u(-8)?
15
Suppose 16 = -4*i, 8*k - 3*k + 4*i - 79 = 0. Calculate the remainder when 150 is divided by k.
17
Suppose -34 + 4 = -2*q. What is the remainder when 2/(4 + (-226)/57) is divided by q?
12
Let f = 2 - 2. Let g = -3 + 5. Suppose g*u + 0*u - 6 = f. Calculate the remainder when 8 is divided by u.
2
Let j(m) = -3*m + 3. Let h(l) = l**2 - 4*l + 3. Let p(v) = 2*h(v) - 3*j(v). Suppose -3*a = 2 - 11. Calculate the remainder when 53 is divided by p(a).
17
Let u(m) = -m**3 + 8*m**2 - 6*m + 5. Let a be u(6). Suppose -a = 5*d - 11. What is the remainder when (-12)/(-18) - 146/d is divided by 13?
12
Calculate the remainder when (-29)/(-3) - 2/(-6) is divided by 2.
0
Suppose 7 = 2*v + 1. Suppose 0*a - 5*a - v*w + 15 = 0, a + 3*w = 3. Suppose a*h - 4 + 2 = 5*b, 6 = 3*h - 3*b. What is the remainder when 11 is divided by h?
3
Suppose -5*n + 81 + 24 = 0. Calculate the remainder when 2/(-2)*(-59 + -1 + -1) is divided by n.
19
Let y(l) = -l**3 + 25*l**2 + 5*l - 38. Calculate the remainder when y(25) is divided by 15.
12
Let w be (-3 - (1 - 4)) + -3. Let f = w - -17. What is the remainder when f is divided by 8?
6
Suppose 0 = -4*l + 3*l - 5, -3*d + l + 95 = 0. What is the remainder when 117 is divided by d?
27
Suppose 2 = 3*h + 5. Let n(s) = 21*s. Let y(w) = 1092*w. Let a(j) = -105*n(j) + 2*y(j). Calculate the remainder when a(h) is divided by 8.
5
Let n = 49 - 29. Let r = 33 + -26. Calculate the remainder when n is divided by r.
6
Suppose 29 = 4*m - 3*m. What is the remainder when m is divided by (-20)/(-70) + 136/14?
9
Let q(s) = 7*s - 16. Calculate the remainder when q(7) is divided by (72/20)/(1/5).
15
Let u = -22 + 46. Let a = u + -5. Calculate the remainder when a is divided by 7.
5
Let r(p) = 2*p**2 + 3*p - 3. Let o be r(-3). Let w(d) = d - 4. Let s(x) = x**3 - 4*x**2 + x. What is the remainder when s(4) is divided by w(o)?
0
Let j = -4 - -4. Let x = j - -6. Calculate the remainder when (15 - 0) + (-1)/(-1) is divided by x.
4
Let x(y) = y**3 - 4*y**2 + 3. Calculate the remainder when 53 is divided by x(5).
25
Suppose 2*z = 13 - 1. What is the remainder when 1/(-1 - (-51)/48) is divided by z?
4
Let m be (-5 + 5)*(0 + 1). Suppose 4*x + 17 = 3*s + 42, -x + 3*s - 5 = m. Calculate the remainder when 19 is divided by x.
9
Let s be 3 + -1*(11 + -2). What is the remainder when (-5)/((-15)/s) + 71 is divided by 18?
15
Suppose c + 4*c - 30 = 0. What is the remainder when 2/(3 + -1) + c is divided by 2?
1
Suppose -2*x + 5 = -1. Suppose x = i - 43. Calculate the remainder when i is divided by -2 + (18 - (1 + -1)).
14
Let o(h) = h**3 - 8*h**2 + 7*h + 2. Let p be o(7). Suppose -3*w + 10 = -p. Suppose 3*u - 20 = u. What is the remainder when u is divided by w?
2
Suppose 0 = 6*p - 3*p - 12. Suppose -3*m = -m - p. Calculate the remainder when m*(-3)/(-6)*2 is divided by 1.
0
Suppose 0 = -w + 6 + 7. Let c(q) = 6 + q - 7*q + 3*q. Calculate the remainder when c(-6) is divided by w.
11
Suppose 0 = v + 3. Let c(g) be the first derivative of -2*g**2 + 3*g + 30. Calculate the remainder when c(v) is divided by 4.
3
Let s(w) = 2*w**2 + 6*w - 2. Let z be s(-6). Let g = z + -18. Let y = 3 - -6. What is the remainder when g is divided by y?
7
Let o be (-670)/8 - (-4)/(-16). Let g = -40 - o. Calculate the remainder when g is divided by 15.
14
Let v(l) = l**3 - 7*l**2 + 8*l - 2. Suppose -28 = -4*r - 4*p, r + 5*p - 1 - 10 = 0. Suppose -39 = 5*u - 134. Calculate the remainder when u is divided by v(r).
9
Let q = -87 - -107. What is the remainder when 96 is divided by q?
16
Suppose 0*p = -4*p + 8. Suppose -32 = -4*v - 4*z, -p*v + z = -v - 14. Calculate the remainder when 43 is divided by v.
10
Suppose 3*h + 2*v - 29 = -0*h, 2*v + 7 = h. Calculate the remainder when 42 is divided by h.
6
Let m = -7 - -13. Calculate the remainder when 97/m - 5/30 is divided by 6.
4
Let d(w) = w + 3. What is the remainder when 27 is divided by d(7)?
7
Suppose -2*w + 44 = -2*z, -3*w = 2*