Let x = 6 + -1. Calculate the remainder when 8 is divided by x.
3
Let x(p) = p**2 - 5*p + 16. What is the remainder when 29 is divided by x(5)?
13
Suppose -5*v - 180 = -5*x, -7 - 13 = 4*v. Suppose -10 = -o + 3*o. Let f = 6 - o. What is the remainder when x is divided by f?
9
Let v(r) = -2*r - 6. Let d be v(-6). Let k(x) = x - 4. What is the remainder when 4 is divided by k(d)?
0
Let k(a) be the third derivative of -a**6/20 - a**4/24 - a**3/6 - 2*a**2. Let l = 8 - 10. What is the remainder when k(l) is divided by 17?
15
Let k = 41 - 21. Let w(z) = -z**3 - 5*z**2 - 5*z - 9. What is the remainder when w(-6) is divided by k?
17
Suppose -s + 0*s + 10 = -2*b, -b + 5 = 0. What is the remainder when 79 is divided by s?
19
Calculate the remainder when 49 is divided by (13/4)/(9/36).
10
Suppose -3*x + 10 = d - 21, -3*x + 107 = 5*d. Calculate the remainder when d is divided by 4.
3
Suppose 0 = -0*c + 3*c + 12, 5*x - c = 44. Calculate the remainder when 23 is divided by x.
7
Suppose 5*q = -82 + 2. Let w = 28 + q. Suppose 0*n = -4*n + 28. Calculate the remainder when w is divided by n.
5
Let h(j) = j**3 + 7*j**2 - 8*j + 17. What is the remainder when 67 is divided by h(-8)?
16
Let w = 23 - 50. Let d = -15 - w. Suppose -c = -6*q + 3*q + 103, 4*q + 5*c = 131. Calculate the remainder when q is divided by d.
10
Suppose -4*b - 4*s = -144, 2*b + 10 = -5*s + 91. Calculate the remainder when 94 is divided by b.
28
Suppose 0 = -5*g + 9 + 6. Calculate the remainder when 5 is divided by (-3)/(-2 + g/3).
2
Let d(k) = k**3 - 5*k**2 - 3*k + 7. What is the remainder when (-6)/45 - 6672/(-90) is divided by d(6)?
24
Let g = 76 + -40. What is the remainder when 4/18 - (-460)/g is divided by 7?
6
Let t = -87 - -143. Let d(h) = -h**2 + 3*h + 4. Let o be d(4). Suppose 4*q = -4*r + t, 3*q - 40 = -4*r - o*r. Calculate the remainder when q is divided by 6.
4
Suppose -131 = -n - 19. Calculate the remainder when n is divided by 39.
34
Suppose -q = -1, 0*c - 4*q - 56 = 2*c. Calculate the remainder when 35 is divided by (-30)/4*c/25.
8
Suppose 4*n + 5 = -4*t + 37, 2*n + 20 = t. Calculate the remainder when 33 is divided by t.
9
Let u(l) = -l + 8. Suppose 4*k - 60 = -2*o, 3*k + 74 + 24 = 5*o. What is the remainder when o is divided by u(-4)?
10
Suppose 0 = -2*d - 3*d + 55. Suppose 5*s - 47 - 168 = 0. What is the remainder when s is divided by d?
10
Let i be 1*1/(-2)*10. Let k = i + 16. Let c(b) = -b**3 + b**2 + 21. What is the remainder when c(0) is divided by k?
10
Let o(b) = -b + 2. Let s be o(4). Let i = s + 15. Calculate the remainder when ((-19)/(-3))/((-3)/(-18)) is divided by i.
12
Let n = 62 - 41. What is the remainder when 102 is divided by n?
18
Let o = 13 - 27. Calculate the remainder when 4/o - (-657)/21 is divided by 16.
15
Let d(g) be the first derivative of -g**4/4 + 2*g**3/3 + g**2/2 + g - 3. What is the remainder when 42 is divided by d(-2)?
12
Suppose -30*a = -26*a - 92. What is the remainder when a is divided by 12?
11
Let y be (2 + 0 - 2)/3. Suppose -2*k = -y*k - 46. What is the remainder when k is divided by 12?
11
Let s(y) = 16*y**2 + 3*y + 3. Calculate the remainder when s(-2) is divided by 21.
19
Suppose -6*b + 38 = -4*b. Calculate the remainder when b is divided by 7.
5
Let d(n) = -n**2 + 12*n - 15. Let m be d(10). Suppose -m*f + 2*f + 34 = c, 0 = 4*f - 4. What is the remainder when 91 is divided by c?
29
Let h(r) = r**3 - 7*r**2 + 5*r. Let z be h(4). Suppose -l + 207 = -4*l. Let x = z - l. Calculate the remainder when x is divided by 21.
20
Let m be ((-40)/(-12))/(1/3). Suppose -30 = -5*u - m. Calculate the remainder when 10 is divided by u.
2
Suppose 0 = 4*o + 4*k - 500, 3*o - 5*k - 338 - 13 = 0. What is the remainder when o is divided by 43?
36
Let w = -65 + 339. Calculate the remainder when w is divided by 25.
24
Suppose 2*p + 3*p - 1210 = 0. Let n = p + -168. Calculate the remainder when n is divided by 25.
24
Let y be (-11 + (0 - -1))*1. Suppose -3*w + 5*w = 34. What is the remainder when w is divided by 12/y*(-7 - -2)?
5
Let v = 12 - 32. What is the remainder when (42/7)/((-6)/v) is divided by 11?
9
Let b = 21 + -8. What is the remainder when (444/8)/(-3)*-2 is divided by b?
11
Suppose 80 = 10*m - 2*m. What is the remainder when 0 - (1 - (2 - -18)) is divided by m?
9
Let z = 11 + -8. What is the remainder when 14 is divided by z?
2
Suppose r - t - 17 = -3*r, 1 = 2*r + t. Suppose -3*z + 2*x = -9, -x + 5*x = 3*z - r. What is the remainder when 12 is divided by z?
2
Let t(m) = m**2 + 11*m - 7. Suppose 15 = 2*y + 3*y. Suppose -28 = -y*f + 11. Calculate the remainder when f is divided by t(-12).
3
Let y be (-4)/6*(-12)/4. Suppose -3*x = 4*d - 31, -4*d - 19 + 65 = -y*x. What is the remainder when 29 is divided by d?
9
Let w be 2 + (1 - -2) + 2. Suppose w = -2*j + 47. Calculate the remainder when j is divided by 7.
6
Let d be (1*-1)/(8/(-288)). Calculate the remainder when (18/24)/(1/d) is divided by 10.
7
Let f(k) = 52*k. What is the remainder when f(1) is divided by 18?
16
Suppose 0 = 3*y - 2*c - 27, -c + 0*c - 18 = -2*y. Suppose -42 = s - 77. Calculate the remainder when s is divided by y.
8
Calculate the remainder when 55 is divided by (38/(-4))/(0 + (-3)/6).
17
Suppose g = -11 - 38. Let r be ((-70)/6)/(1/3). Let t = r - g. Calculate the remainder when 39 is divided by t.
11
Let x be 354/18 - (-1)/3. Suppose 5*i + 4*t - 20 = 3*i, -x = -5*i + 5*t. Suppose -i*s + 115 = -s. Calculate the remainder when s is divided by 12.
11
Suppose 4*z + 2 + 10 = 0, 4*z = 5*r - 167. Let g = 42 - 23. Let n = r - g. What is the remainder when 34 is divided by n?
10
Let b = 17 + -22. Calculate the remainder when (13 - b)/(3 - 1) is divided by 6.
3
Let w = -57 + 197. Calculate the remainder when w is divided by 47.
46
Suppose 0 = -2*a - q, 0 = 2*a - q + 3*q + 4. Let t(p) = 40*p**2 - 4*p. What is the remainder when t(-1) is divided by 1/a + 29/2?
14
Let i(g) = 11*g - 4. Calculate the remainder when 56 is divided by i(3).
27
Let r = 40 - 29. Let y = r + 9. What is the remainder when 78 is divided by y?
18
Suppose 0*f - 2*f = -10. Calculate the remainder when 7 is divided by f.
2
Let h(p) = -10*p - 3. Let k be h(-2). Suppose 2*s - 21 = k. Suppose -1 = i - 8. Calculate the remainder when s is divided by i.
5
Suppose 84 = t + 2*t. Suppose 6*d - 75 = d. Calculate the remainder when t is divided by d.
13
Let c = 37 - 33. Calculate the remainder when 5 is divided by c.
1
Let z(n) = -57*n - 1. What is the remainder when z(-1) is divided by 19?
18
Let x = -162 - -99. What is the remainder when 1/(-4) - x/12 is divided by 2?
1
Let k = -13 + 21. What is the remainder when 22 is divided by k?
6
Suppose o = -5*h + 26, 0 = -2*h - 3*o + 11 + 2. Suppose -2*f + h*f - 123 = 0. Let r(d) = -2*d. Calculate the remainder when f is divided by r(-7).
13
What is the remainder when 52 is divided by (-14)/91 - (-145)/13?
8
Let x be (-1 + -3 + 1)/(-1). Suppose 2*n - 118 = -2*n + 2*d, 0 = 4*n - x*d - 113. What is the remainder when n is divided by 11?
10
Let m = 2 - -33. Calculate the remainder when m is divided by 19.
16
Suppose 4*m = 3*m + 2*j + 55, 268 = 4*m + 4*j. Suppose 1 + m = 4*n. Suppose 96 - n = 5*r. What is the remainder when 46 is divided by r?
14
Let j(k) = 2*k**2 + 3*k + 4. Suppose 4*x - 7 = f - 0*f, 0 = -3*f + 2*x - 11. What is the remainder when j(f) is divided by 4?
1
Calculate the remainder when (-200)/(-6)*12/8 is divided by 17.
16
Calculate the remainder when 69 is divided by (-4 - (1 - 16)) + 1.
9
Let r = 65 - 37. What is the remainder when r is divided by 10?
8
Let t be 1258/(-22) + 4/22. Calculate the remainder when 4/((-3)/t*2) is divided by 20.
18
Let l(c) be the second derivative of -c**4/12 - 5*c**3/3 + c**2/2 + 3*c. Calculate the remainder when l(-9) is divided by 4.
2
Let w(t) = t**2 - 12*t - 1. Let m be w(8). Let j = -26 - m. Calculate the remainder when j is divided by 36/10 - (-2)/5.
3
Let x(o) = 2. Let v(h) = -h + 1. Let w(i) = -2*v(i) + x(i). Let k = -52 - -87. Calculate the remainder when k is divided by w(6).
11
Suppose 3*o = o + 4. Let j = o + 1. Calculate the remainder when j is divided by 3*-1*(2 + -3).
0
Calculate the remainder when 36 is divided by 132/13 + (-22)/143.
6
Suppose -12 = i - 2*i. Let j(v) be the first derivative of -v**3/3 + 7*v**2/2 - 5*v + 2. What 