t b be 20 - (3 - (-4 + t)). Let o = 28 - b. Calculate the remainder when 10 is divided by o.
3
Let o = 345 - 214. What is the remainder when o is divided by -18*(45/6)/(-5)?
23
Suppose -f - 3*j = 4, 3*j + 26 = 4*f + j. Calculate the remainder when (15/4)/((-45)/(-216)) is divided by f.
3
Let v = -350 + 512. Calculate the remainder when v is divided by 41.
39
What is the remainder when (-1165)/2*(-156)/390 is divided by 62?
47
Let b = 3 - 0. Suppose -b*n = -n - 2. Calculate the remainder when n is divided by (1/3)/((-2)/(-6)).
0
Let b be (380/7 - 0) + (-4)/14. Let q = -18 + b. What is the remainder when q is divided by 14?
8
Let i be (-39)/(-5) + 1/5. Let t = 9 - i. What is the remainder when 35 is divided by (-6 + -6)*t/(-1)?
11
Suppose 3*k + 2*s = 39, -4*s - 33 = -3*k - 12. What is the remainder when 76 is divided by k?
10
Let w = 409 - 269. Suppose 0 = -3*g + 4*d + w, -178 = -4*g - 2*d + 3*d. Calculate the remainder when g is divided by 26.
18
Calculate the remainder when 32 is divided by -5 - (-5 - 4) - -28.
0
Let n(v) be the third derivative of -v**6/120 + 3*v**5/20 - v**4/4 + 2*v**3/3 + 5*v**2. What is the remainder when n(7) is divided by 21?
18
Let m be (4*1)/(13/((-39)/(-6))). Let c(q) be the first derivative of q**3 + 3*q**2/2 - 3*q - 1. Calculate the remainder when c(m) is divided by 8.
7
What is the remainder when (26/6)/((28/12)/7) is divided by 11?
2
Let w be -2*4/(-8) - 17. Let p = -15 - w. What is the remainder when 14 is divided by 2/(-1)*(p + -5)?
6
Suppose -5*x + 6*k - k = 130, 4*k + 6 = -x. What is the remainder when (5 + -6)*(x - 0) is divided by 13?
9
Let p = 85 + -72. Suppose -18 - p = -k. Calculate the remainder when k is divided by 3.
1
Let v = 26 - 45. Let x(q) = q + 45. Calculate the remainder when 102 is divided by x(v).
24
Let c be (-75)/6*10/(-25). Suppose 0 = 3*d + 4*l - 56 + 9, 4*d - c*l - 73 = 0. What is the remainder when d is divided by 9?
8
Suppose -14*x + 150 = -11*x - 3*w, 5*x - w = 258. What is the remainder when x is divided by 42?
10
Suppose g - 5*g + 200 = 0. Let q(b) be the second derivative of b**3/3 - 11*b**2/2 + 3*b. Calculate the remainder when g is divided by q(12).
11
Let f be (12/(-42))/(1/(-28)). Suppose -f + 119 = 3*r. Calculate the remainder when r is divided by 8.
5
Let w = -7 - -10. Let t be 15*(1/w + 0). Suppose 0 = -m - 5*v + 1 - 9, t*m - 2*v - 68 = 0. Calculate the remainder when 21 is divided by m.
9
Let b(m) = 7*m - 15. Let n(y) = 50*y - 105. Let u(k) = 15*b(k) - 2*n(k). Suppose 13*l - 6*l - 546 = 0. Calculate the remainder when l is divided by u(11).
38
Let w = 73 + -65. Suppose -w*s = -s - 154. What is the remainder when s is divided by 6?
4
Suppose -3*a - 17 = -5*a + n, a - 5*n - 22 = 0. Suppose f + a*f = 184. Calculate the remainder when f is divided by 8.
7
Let h = -3 + 11. Let l be (h/8)/(3/15). Let d(c) = c**2 - 5*c + 6. Calculate the remainder when 35 is divided by d(l).
5
Suppose 3*a - 9 = -5*q, -2*a = -4*q + 12 + 4. What is the remainder when a/(-3) + 380/15 is divided by 7?
5
Let g = -306 + 335. What is the remainder when 288 is divided by g?
27
Let d(u) = u**3 - 6*u**2 + 6*u + 5. Calculate the remainder when (-328)/(-18) + (-4)/18 is divided by d(5).
8
Suppose -3700*h = -3716*h + 2256. Let a = 6 + 18. What is the remainder when h is divided by a?
21
Calculate the remainder when 967 is divided by ((-1)/(-15)*9)/((-2)/(-170)).
49
Let x = -2 - -4. Suppose -x*u - 10 = -34. Let y(s) = -s**3 + 13*s**2 - 11*s + 2. What is the remainder when 53 is divided by y(u)?
11
Suppose 10 = q + 4*q. Let a = -885 - -888. Calculate the remainder when a is divided by q.
1
Let k = 1140 - 995. Calculate the remainder when k is divided by 24.
1
What is the remainder when 17 - 5*24/(-40) is divided by 19?
1
Let d = -222 - -116. Let o = d + 146. What is the remainder when 157 is divided by o?
37
Suppose 294 = 2*v + 2*z, -2*v + 7*z = 5*z - 306. What is the remainder when v is divided by 43?
21
Let g(b) = b**3 + 10*b**2 + 7*b + 3. Suppose 2*h + 11 = -5. Let m be g(h). Suppose 0 = -2*r - r + m. What is the remainder when r is divided by 13?
12
Let x(i) = -i**2 + 4*i - 11. Let n be x(2). Let y(j) = -3*j - 11. What is the remainder when 22 is divided by y(n)?
2
Suppose -5*a + 12 + 13 = 0. Calculate the remainder when (-2)/6*(a + -128) is divided by 9.
5
Suppose 0 = -4*x - 3*o + 75, -x = x + 3*o - 45. Let g = -15 - -13. What is the remainder when x is divided by -1 - (3 - 8) - g?
3
Suppose z = -5*z + 24. Suppose -z*s - 5*y + 12 = -3*s, 3*s - 23 = -2*y. Calculate the remainder when 31 is divided by s.
3
Suppose 0 = 3*i - 33. Let c = 14 - i. Calculate the remainder when 10 is divided by c.
1
Let f = -118 - -114. What is the remainder when 57 is divided by (-8)/(-2) + f - 90/(-3)?
27
Suppose -j - j - 1 = -5*a, 0 = -2*j - a + 5. Suppose -2*d + j*c = 5*c - 34, 72 = 4*d + 4*c. What is the remainder when 38 is divided by d?
18
Suppose 3*r - 113 = -4*z, -3*z - r = -172 + 91. What is the remainder when 1089 is divided by z?
23
Calculate the remainder when (115/70*12)/((-6)/(-28)) is divided by 27.
11
Let v = 11 - 8. Suppose -10 - 41 = -v*j. Suppose -t + 37 + j = 3*y, -4*y = -4*t + 232. What is the remainder when t is divided by 15?
12
Suppose 0 = 72*b - 280 - 224. What is the remainder when 129 is divided by b?
3
Suppose -5*j + 14 = -3*j - a, -3*a + 12 = 3*j. Suppose -8*r = -3*r - 200. What is the remainder when r is divided by j?
4
Suppose 28 = -w + 5*w. Suppose 10*j = w*j - 12. Calculate the remainder when j/(-10) - (-792)/20 is divided by 14.
12
Suppose 5*m = 6*m - 4. Suppose 2*g = m*g + 6. What is the remainder when 23 is divided by (-11)/(-1) + (-2 - g)?
11
Let b(l) = 29*l**2 - 10*l - 9. What is the remainder when 511 is divided by b(-2)?
3
Suppose 0 = -5*o + 3*i + 35, -5*o - 3*i + 8*i + 35 = 0. Suppose 5*t = 6*t - 15. Calculate the remainder when t is divided by o.
1
Let c(v) = -5*v**2 + 8*v - 10. Let h be c(4). Let b = -24 - h. What is the remainder when b is divided by 18?
16
Suppose -2*j + 2*y = -284, 0 = -j + 2*y + 129 + 14. Let t = 108 - 95. What is the remainder when j is divided by t?
11
Suppose -54*f + 1368 = -46*f. Calculate the remainder when f is divided by 25.
21
Let o(w) = -2*w - 6. Let t be o(-4). Let y = 389 - 384. Suppose 0 = t*v + s + 7 - 35, -4*s - 44 = -y*v. Calculate the remainder when 33 is divided by v.
9
Let d be (-218 + -1)*76/57. Let v = -81 + 45. Calculate the remainder when d/(-6) - (-24)/v is divided by 25.
23
Let c = 96 - 42. Calculate the remainder when c is divided by 19.
16
Suppose -5*i - 2*z = -0*z - 17, -4*i = -2*z - 10. Suppose y - 16 = -q, -4*y + i*q + 66 = -y. Calculate the remainder when 73 is divided by y.
16
Suppose f + 4*t = 9, 5*t - 24 = 3*f - 0*t. Let a be 2115/12 - f/4. Suppose 6*v - a - 153 = 0. Calculate the remainder when v is divided by 14.
13
Suppose 209 = 2*x + 9*x. Suppose 24*m = x*m + 155. What is the remainder when m is divided by 11?
9
Let l be 363/77 + (-4)/(-14). Suppose l*s + 4*k = 59, -5*k = 2*s - k - 26. What is the remainder when 21 is divided by s?
10
Let f(z) = -3*z**3 - 10*z**2 + 7. Calculate the remainder when f(-4) is divided by 12.
3
Let b(k) be the third derivative of -k**6/120 + 13*k**5/60 - 13*k**4/24 + 19*k**3/6 + 18*k**2. Calculate the remainder when 18 is divided by b(12).
4
What is the remainder when 1352 is divided by 6/(-16) + 19747/1736?
10
Suppose -29 = 5*g - 4, 3*v + g - 22 = 0. Let b(s) = 3*s**2 + 3*s + 2. Calculate the remainder when (v/2 - 3)*38 is divided by b(-3).
17
Let l = 54 - 48. Let h(f) = 3*f - 3. Calculate the remainder when 41 is divided by h(l).
11
Let y = 24 + -14. Let q = y - 8. Calculate the remainder when 6 is divided by q + -1 + -2 + 3.
0
Let z(a) = 6*a**2 - 2*a + 1. Let v be z(-4). Suppose 2*t - 1 - 5 = 0, 0 = -4*u - 3*t + v. Calculate the remainder when 46 is divided by u.
22
Let b = -1884 + 1922. What is the remainder when 183 is divided by b?
31
Suppose 0 = 3*o - g + 79, -o + 5*g - 16 - 15 = 0. Let l = 39 + o. Suppose 2 + l = 3*b, 2*c + b - 99 = 0. What is the remainder when c is divided by 16?
15
Let l = 76 + -25. What is the remainder when 96 is divided by l?
45
Let n be ((-2)/6)/(2/(-18)). Suppose 144 + 31 = n*v + 5*r, -4*v = -4*r - 212. Calculate the remainder when v is divided by 14.
13
Suppose 2*c =