t x be l(2). Let z = 43 - x. What is the remainder when z is divided by c?
10
Calculate the remainder when 14/((91/14)/13) is divided by 18.
10
Suppose -5*x = -x - 40. Let q(n) = n - 15. Calculate the remainder when q(20) is divided by ((-12)/(-10))/(4/x).
2
Suppose -p - 2 = 0, 0 = w - p - 30 - 96. What is the remainder when w is divided by 18?
16
Suppose -63 = 13*i - 1012. Calculate the remainder when i is divided by 3.
1
Suppose -5*c - 6 = -j + 89, -5*j + 397 = c. Calculate the remainder when j is divided by 19.
4
Suppose c - 13 = -3*d, -5*c + c - 5*d = -17. Let f(q) = -3*q**3 + q**2 - q. Let h be f(3). Calculate the remainder when (-3 + h/6)*c is divided by 16.
15
Let n = 14 + -17. Let i(t) = t**3 + 2*t**2 - 3*t - 4. Let p be i(n). Let f = p + 41. What is the remainder when f is divided by 10?
7
Suppose 9*f - 14*f = -275. Suppose 3*d - 20 = f. Suppose 5*q + 2 = -a, -a + 3*q + q + d = 0. Calculate the remainder when 50 is divided by a.
11
Let x(r) = 4*r**2 - 8 + 12*r**2 - 3*r - 13*r**2 - r. Calculate the remainder when x(5) is divided by 10.
7
Suppose -753 = 20*o - 233. Let c = o + 40. What is the remainder when 25 is divided by c?
11
Let b(g) = 2*g - 5. Let z be b(6). Let d = 33 - 36. Let o = z - d. What is the remainder when 29 is divided by o?
9
Calculate the remainder when (-862)/(-7) + (-1)/7 is divided by 21.
18
Suppose 0 = w + 4, 3*i + 5*w - 164 = -i. Suppose -23 = -r + 4*u, -2*r = -7*r - 3*u + i. What is the remainder when 82/(5/(10/4)) is divided by r?
8
Let s(u) = -u**2 - 9*u - 12. Let a(t) = 2*t + 3. Let y be a(-4). What is the remainder when 17 is divided by s(y)?
1
Let x = 0 - -3. Suppose 4*z - x = 9. Suppose -z*w + 5*a = -222 + 80, w - 34 = -a. Calculate the remainder when w is divided by 10.
9
Suppose p + 99 = -4*q + 4*p, -p = 4*q + 95. Let z = q - -48. Let b(d) = 3*d**2 + d. What is the remainder when z is divided by b(2)?
10
Let k = -478 - -496. Calculate the remainder when (3 - (0 - -1)) + 85 is divided by k.
15
Let p = -2 + 6. Let l be ((-12)/(-5))/(16/40). Suppose l*y = -40 + 124. What is the remainder when y is divided by p?
2
Let o(i) = 8*i - 173. Calculate the remainder when 2095 is divided by o(38).
130
Suppose 4*y = -2*m - 2, m + 3*y - 1 = -0*m. Let c = 111 + m. What is the remainder when c is divided by 27?
25
Suppose 19*t - 15*t - 10 = -2*s, -17 = -5*s - 2*t. Suppose 12*n - 15*n = -15. What is the remainder when n is divided by s?
2
Suppose -5*m = -0*m - 105. Suppose -38*z + 65 = -33*z. Suppose -z = 2*p - 37. Calculate the remainder when m is divided by p.
9
Let z(k) = k**2 + 2*k + 6. Let y be z(-5). Suppose g = 5*g + 64. Let w = y + g. What is the remainder when w is divided by 2?
1
What is the remainder when 48 is divided by 2/(-18)*-2 + 1661/99?
14
Suppose -40*c - c = -369. Let d(v) = v + 13. Let g be d(-8). What is the remainder when -1 + 3 - (-105)/g is divided by c?
5
Suppose 317 = 2*x + r, -4*x - 142 = -5*x + 5*r. What is the remainder when x is divided by 53?
51
Let f = -9 + 67. Suppose 0 = 3*u + 23*u - 442. What is the remainder when f is divided by u?
7
Suppose 0 = -2*q - 2*b + 3 + 11, 7 = 2*q - 5*b. Let m be (-4)/q + (-40)/(-6). Let k = -5 + m. What is the remainder when k is divided by 1?
0
Let d = -22 - -45. Let u = 162 + -95. Calculate the remainder when u is divided by d.
21
Let m be (1 - 11)*(-120)/25. Suppose 10*b = 13*b - m. Calculate the remainder when 46 is divided by b.
14
Let b(n) be the first derivative of -n**4/4 + 4*n**3/3 + 3*n**2/2 - 5*n + 7. Suppose 5*m - 5 = 2*f, 6 - 1 = f. What is the remainder when b(4) is divided by m?
1
Let f(k) = k**3 + 2*k**2 + k + 23. Calculate the remainder when (-7)/(84/1290)*4/(-5) is divided by f(0).
17
Suppose 0 = -236*z + 227*z + 2394. Calculate the remainder when z is divided by 54.
50
Let v be 0*2/8 + 4. Suppose 3*c = 5*b + 124, -2*b - 152 = -v*c + 2*b. Calculate the remainder when c is divided by 12.
9
Let a(u) = u**3 + 13*u**2 - 3*u + 25. Let x be (-20 - -23) + -2*8. Calculate the remainder when a(x) is divided by 13.
12
Suppose -3 = k, -2*k = 4*j + 2*k - 144. Let s = -131 + 70. Let w = s - -71. Calculate the remainder when j is divided by w.
9
Suppose 0 = -4*r + 12 + 8. Suppose -27 = -2*n + r*n. What is the remainder when ((-48)/n)/(1/6) is divided by 17?
15
Suppose 3*n - 3*m - 3 = 0, -25*n + 23*n + 3*m = -1. Calculate the remainder when 56 is divided by n.
0
Let o(z) = 5*z**2 + 93*z - 31. Calculate the remainder when o(-19) is divided by 1.
0
Let g = 2 + 0. Suppose -g*j + 5*v - 12 = 0, j - 2*v - v = -8. What is the remainder when 21 is divided by (-4)/j*-3*4?
9
Let n(z) = -z**3 + 7*z**2 + 2*z - 9. Let h(y) = 367*y + 744. Calculate the remainder when n(6) is divided by h(-2).
9
Let g be 4*(-2)/(4 + -8). Let f(u) = -42*u + 1. Let m be f(-1). Suppose x = g*x - m. Calculate the remainder when x is divided by 15.
13
Suppose w = -u - 3*u + 18, -3*u + 2*w + 8 = 0. Let h = -2 + u. Suppose -h*v - 3*v = -185. What is the remainder when v is divided by 19?
18
Suppose -22*d + 4182 = 19*d. What is the remainder when d is divided by 7?
4
Suppose 4*k - 16*t + 11*t - 118 = 0, 5*k + t - 133 = 0. Let x be (-1 - -3)*(-10)/(-4). Suppose 0*n = x*n - 50. Calculate the remainder when k is divided by n.
7
Suppose 2*g + 3*p - 81 = -2*g, -p = -4*g + 101. Calculate the remainder when (g/28)/(-2)*-7 + 95 is divided by 34.
30
Let s be 7/14 + ((-82)/(-4) - 0). What is the remainder when 76 is divided by s + 15/(-5 - -2)?
12
Let c(y) = y - 3. Let t be c(8). What is the remainder when 38 is divided by -13*(2/(-4))/(t/10)?
12
Let i = 0 - -5. Let c = -3 + -7. Let m(a) = -a**3 - 11*a**2 - 11*a + 9. Calculate the remainder when m(c) is divided by i.
4
Let x(r) = -r**3 + 5*r**2 - r + 4. Calculate the remainder when 171 is divided by x(4).
11
Suppose -6*b + 2*b = -8. Suppose 2*l + 6 = 2*u, -3*l - b*u = -8*l. Suppose -7 - 21 = -l*k. What is the remainder when 25 is divided by k?
11
Suppose -5*s = -17*s + 48. Let i be 1/(-3)*(-90)/6. Suppose 4*b - 11 = 2*c - 55, 0 = -s*c - i*b + 49. What is the remainder when 30 is divided by c?
14
Let d = 5 + 68. Let u = d - 66. Let c(r) = r + 5. What is the remainder when c(6) is divided by u?
4
Suppose 0 = -2*h - 4*u - 12, 0 = 5*h + u - 3*u - 30. Suppose -r - 3 = 2*k - h, 4*r = -4*k + 8. Let q = r + 2. Calculate the remainder when 8 is divided by q.
3
Let c(z) = -z**3 + 4*z**2 + 4*z. Let t = -4 - -8. Let p be c(t). Suppose -3*u = u - p. Calculate the remainder when 6 is divided by u.
2
Let j be 1/(-3) + (-64)/(-3). Let h = j - 9. Suppose 59*f - 53*f - 138 = 0. What is the remainder when f is divided by h?
11
Let p be 9/6 - 513/6. Let m = -26 - p. Suppose -v + 2*k - 5*k + 2 = 0, 3*v - 4*k = m. Calculate the remainder when 67 is divided by v.
11
Suppose 0*j = -3*j + h + 262, -j - h + 82 = 0. Suppose -5*i + 2*g = -85, g = 5*i - 4 - j. Calculate the remainder when i is divided by ((-1)/2)/(4/(-40)).
4
Let o = 57 - 7. Suppose -o = 3*s + 2*s. Let b = s - -24. Calculate the remainder when 41 is divided by b.
13
Let l(u) = 30*u**2 - 1. Let i(y) = -13*y + 144. What is the remainder when i(0) is divided by l(-1)?
28
Let c be 3/((-3)/2) + 4. Suppose -c = o - 4. Suppose o*b + 13 - 37 = 0. Calculate the remainder when b is divided by 5.
2
Let k = 541 + 339. Calculate the remainder when k is divided by 59.
54
Let v be (-9)/(-12) + (-5)/(-4). Calculate the remainder when 6*18/v*1 is divided by (2*(-2)/((-16)/(-76)))/(-1).
16
Let k(t) be the first derivative of t**2/2 + 8*t + 7. Let f be k(0). Suppose -4*s + 12 = -f. Calculate the remainder when 12 is divided by s.
2
Suppose -4*b + 4 = -3*y, -18 = b - y + 5*y. Let u be (4/12)/(b/(-18)). Let x(c) = c**3 - 2*c**2 + 2*c + 3. Calculate the remainder when 71 is divided by x(u).
17
Calculate the remainder when 7 is divided by 0 + (-1 - (2 - 5)).
1
Let m(k) = -k**3 - 23*k**2 - 125*k + 16. What is the remainder when 40 is divided by m(-9)?
5
Suppose -4*a - 2*n - 238 = -8*a, 5*a - 3*n - 296 = 0. What is the remainder when a is divided by 21?
19
Let l = 2487 - 2462. What is the remainder when 846 is divided by l?
21
Let k(z) = -z**3 + 16*z**2 - 12*z - 33. Calculate the remainder when 48 is divided by k(15).
0
Let i be ((-12)/(-30))/(4/10). Suppose -5*j = -51 + 1. Calculate the remainder when (48 - 0) + i - 2 is divided by j.