 What is the remainder when y is divided by i?
23
Suppose 2*w = 5*l - 97, -2*l = w + 9 - 55. Suppose -2*u - h + 8 = -5*h, 5*u + h - 20 = 0. Let k(b) = b + 2. What is the remainder when l is divided by k(u)?
3
Let k(o) = 7*o**2 - 25*o - 1. Let q(x) = 3*x**2 - 12*x - 1. Let m(c) = 2*k(c) - 5*q(c). What is the remainder when m(8) is divided by 6?
1
Let w(x) = 15*x + 2. Let i be w(3). Suppose -4*u + k - i = -9*u, 3*k + 9 = 0. Suppose -p - u = -32. What is the remainder when 64 is divided by p?
20
Calculate the remainder when 1005/(1 - -2) - (33 - 38) is divided by 69.
64
Let k(c) = -c**2 - 10*c - 7. Let f be k(-9). Let w(j) = -j**3 - 5*j + 0*j**3 + 17 - 5 - 11*j**f. What is the remainder when w(-11) is divided by 14?
11
Suppose m + 4*p + 13 = 0, 3*m - 2*p - 14 = m. Let k(n) = n + 4*n + m*n + 6 - 4*n. Calculate the remainder when k(5) is divided by 9.
8
Let c = -122 - -82. Let n = -66 - c. Let q = -15 - n. Calculate the remainder when 21 is divided by q.
10
Suppose -3*c - 126 = -2*p, 4*c - 172 = -7*p + 4*p. Calculate the remainder when p is divided by 8*((-4)/1 - -6).
12
Suppose 0 = 5*a - 20, 2*b - 15*a = -17*a + 550. What is the remainder when b is divided by 34?
33
Let p be 1 + -1 + 3 + 155. Calculate the remainder when 4/6 + (p/6 - -1) is divided by 6.
4
Let n(t) = 2*t**2 - 1. Let y be n(3). Let p = 6 + -12. Let b = y - p. Calculate the remainder when b is divided by 8.
7
Let d(r) = r**2 - 6*r + 8. Let w = 18 - 12. Let p be d(w). Suppose 5*y - 35 + 5 = 5*s, -2*s = -y + p. What is the remainder when 13 is divided by y?
1
Suppose g + 2*w - 20 = 0, -3*g - 3*w + 60 = -6*w. What is the remainder when g is divided by (-2)/((-2)/(-7)*-1)?
6
Let h be 4/24 + (-310)/(-12). Suppose -b - 4*b = -2*m + h, 0 = 4*m - 3*b - 24. Suppose m*f - 23 = 49. Calculate the remainder when f is divided by 13.
11
Let g(n) = n**3 - 30*n**2 - 33*n + 81. Calculate the remainder when 30 is divided by g(31).
11
Suppose 0 = q + 2 + 1, 0 = -2*d - 5*q - 23. What is the remainder when 57 is divided by 3/d*(1 + -21)?
12
Suppose -6*t + 234 = -348. What is the remainder when 1452 is divided by t?
94
Let a = -437 + 715. What is the remainder when a is divided by 38?
12
Suppose 60 = 4*o + 5*m, 2*m = -o + 6 + 12. Suppose 5*q - 2*p = 18, 5*q - 30 = p - 6. What is the remainder when o is divided by q?
4
Let l(q) = q**3 + 9*q**2 + 5*q - 14. Let j be l(-8). Calculate the remainder when 10 is divided by (-4)/j + (-185)/(-25)*1.
3
Suppose 3*m - q - 107 = 0, -4*m + 126 = -q + 3*q. Calculate the remainder when 271 is divided by m.
33
Suppose 4*j = 0, -3*d + 3*j + 14 = -49. Let p be 6/d - 57/(-21). Suppose 3*q = p*s + 2*q - 82, 2*s = -4*q + 50. What is the remainder when 80 is divided by s?
26
Let q = 12 - 3. Let f(o) = -o**3 - 6*o**2 - 10*o - 2. Let b be f(-3). Calculate the remainder when (1/2)/(87/86 - b) is divided by q.
7
Suppose 4*x - 4*w = 3228, -9*w = x - 4*w - 777. Calculate the remainder when x is divided by 13.
9
Suppose -a + 383 - 142 = -2*z, -2*a = -z - 479. Calculate the remainder when a is divided by 27.
23
Let j = -14 + 24. What is the remainder when 18 is divided by j?
8
Let m = 331 - 174. Calculate the remainder when m is divided by 40.
37
Let j(i) be the first derivative of i**4/4 + 7*i**3 - 21*i**2/2 + 34*i - 6. Calculate the remainder when 32 is divided by j(-22).
8
Let c = -17 + 51. What is the remainder when c is divided by 13?
8
Suppose 0 = s + 20 - 60. Suppose 4*r + 0*r = s. Let h = -13 + 19. What is the remainder when r is divided by h?
4
Suppose 251*g + 435 = 256*g. What is the remainder when 184 is divided by g?
10
Suppose 4*h - 23 = 209. Calculate the remainder when h is divided by 10*6/2 + -10.
18
Suppose -13 + 7 = -2*l. Suppose -n = -l*t + 4*n - 25, 0 = -2*n + 10. Let r = 12 - t. What is the remainder when 45 is divided by r?
9
Suppose 7*i - 28 - 70 = 0. Let n = 49 - 24. Calculate the remainder when n is divided by i.
11
Suppose 0 = -6*w + 3*w + 45. Let q(l) = 9*l**2 - 2. Let b(m) = m**2 - m + 1. Let a(p) = -b(p) + q(p). What is the remainder when a(-2) is divided by w?
12
Let b(h) = -h**2 - 11*h - 6. Suppose 0 = w - 2. Let j(o) = 7*o**2 + 3*o - 1. Calculate the remainder when j(w) is divided by b(-8).
15
Let p(s) be the second derivative of 1/20*s**5 + 1/2*s**3 - 13/2*s**2 + 0 + 12*s - s**4. What is the remainder when p(12) is divided by 9?
5
Suppose -11*g - 436 = -7*g. Let w = 53 + g. Let j = w - -80. What is the remainder when 70 is divided by j?
22
Let k = 425 - 37. What is the remainder when k is divided by 30?
28
Suppose b + x + x + 5 = 0, -4*b - 5 = 3*x. Let w be 52*(3/(-6) + b). Calculate the remainder when w + (-9)/3*-1 is divided by 8.
5
What is the remainder when 150 is divided by (6 - (7 + 5)) + 43 + 1?
36
What is the remainder when 5*(-9)/60*-56 is divided by 9?
6
Let t = 109 - 110. What is the remainder when 3/(t/(-302)*6) is divided by 38?
37
Let h = -25 + 31. Suppose -3*i - 81 = -h*i. What is the remainder when i is divided by 10?
7
Let v = 11 + -5. Suppose 3*s - 3 = 0, -2*s = 3*k + 4 + v. Calculate the remainder when 12*(-1 + (-6)/k) is divided by 4.
2
Let w = -2 + 12. Let f = 16 - w. Let u(r) = r**3 - 6*r**2 + 3*r - 6. What is the remainder when u(f) is divided by 7?
5
Let j(c) = -c + 3. Let v be j(0). Suppose -3*o + 8 = -o, -124 = -4*l - v*o. Calculate the remainder when l is divided by 16.
12
Let h = -19 - -33. Suppose 224 = 3*q + 4*u, 2*q + 3*u = 4*u + 131. What is the remainder when q is divided by h?
12
Let r be 1625/(-75) + (-1)/3*1. What is the remainder when 85 is divided by r/(((-5)/2 - -3)*-1)?
41
What is the remainder when 312 is divided by 57216/1248 - (-3)/(78/4)?
36
Let j(o) = -2*o + 16. Let m be j(7). Let h be (-1)/(-4)*(m + -2). Suppose 6*t - 4*t - 22 = h. What is the remainder when t is divided by 5?
1
Let m(p) = 5*p - 23. Let w(d) = 3*d + 4. Let r be w(-7). Let h = r + 39. Calculate the remainder when h is divided by m(7).
10
Suppose -3*i - 4*m + 322 = 0, 4*i - 4*m - 65 = 383. What is the remainder when 878 is divided by i?
108
Suppose 0 = 63*n - 61*n - 66. Let v be (-22)/(-33) - (-8)/6. What is the remainder when (v - 6/8)*104 is divided by n?
31
Let m = 3 - 0. Let n(t) = 5*t**2 + t**3 + m*t**2 + 99*t - 105*t - 1. What is the remainder when n(-8) is divided by 16?
15
Suppose 0 = 7*r - 8*r + 42. What is the remainder when 167 is divided by r?
41
Let m(j) = -34*j - 1. Let a be m(-1). Let c be (-225)/a - (-4)/(-22). Let t = c - -17. Calculate the remainder when 29 is divided by t.
9
Suppose 14 = -2*v + 4*v. Let m = 181 + -161. Calculate the remainder when m is divided by v.
6
Let q(m) = -m**3 - 14*m**2 - 16*m - 9. Let v = 20 + -33. Let z(o) = -o**3 - 8*o**2 - 2*o. What is the remainder when q(v) is divided by z(-8)?
14
Let d be (-1)/10*-2 + (-18)/15. Let l = 57 - d. Calculate the remainder when l is divided by 16.
10
What is the remainder when 198 is divided by (5 + -3 - 1)/(9/450)?
48
Suppose -l = v - 37, 21 = l + 5*v - 28. Calculate the remainder when 199 is divided by l.
29
Suppose 3*z - 16 + 4 = 0. What is the remainder when 2*2/z*42 is divided by 12/4 - 12/(-1)?
12
Suppose -5*w - 25 = 0, 0 = -2*p - 0*p - 5*w + 37. Let d be (-4 - -2)/(10/(-85)). Let u = p - d. What is the remainder when 39 is divided by u?
11
Let o = 2 - -7. Let q(z) = 17*z + 136. Let s be q(-9). Let a = o - s. What is the remainder when 75 is divided by a?
23
Suppose 0 = 27*i - 43 - 11. Let s = 56 - 22. Suppose 0 = -i*p + 14 + s. What is the remainder when 93 is divided by p?
21
Suppose 4*y + 1880 = 5*l, 6*y - 1830 = -0*l - 5*l. What is the remainder when l is divided by 22?
20
Let f(x) = x**3 - 23*x**2 + 16*x - 355. Calculate the remainder when 999 is divided by f(23).
11
Suppose 4*s - 73 = u, 0*u - 2*u + 7 = s. Let h = s - 15. Suppose -h*p - 10 = 0, -5*f + 3*p = 7*p - 185. Calculate the remainder when f is divided by 22.
19
Suppose -5*q - 119 = -3*l, 0 = -2*q - 0*l - l - 41. Let t(y) = -y**3 - 22*y**2 - 3*y - 54. Calculate the remainder when 39 is divided by t(q).
3
Let j = 10 + -8. Suppose -h - 2*n - 1 = 0, -j*h = -6*h + 3*n - 15. Let x = 7 + h. What is the remainder when 10 is divided by x?
2
Let f(y) be the third derivative of y**4/24 + 9*y**3/2 - 13*y**2. Calculate the remainder when 45 is divided by f(-11).
13
Suppose 5 - 1 = a. Suppose -41 = -5*r - 