uppose 3*a = d*a - y. Calculate the remainder when a is divided by 3.
1
Suppose 0 = s, -4*r + s = 3*s - 268. Calculate the remainder when r is divided by 23.
21
Let f = -11 - -24. Calculate the remainder when f is divided by 16/12 + (-306)/(-54).
6
Suppose 0 = 5*v - 25, 2*v + 5 = 3*z - 6. Suppose -5*s - 420 = -5*o, s = -0*s + 2. Let b = o + -59. Calculate the remainder when b is divided by z.
6
Let w = 420 + -381. What is the remainder when 229 is divided by w?
34
Suppose 2*y - 4*c = 938, -3*c - 511 = -5*y + 1855. Calculate the remainder when y is divided by 80.
75
Let u(j) be the third derivative of j**5/6 - j**4/24 - 4*j**2. Let g be u(-1). Suppose -l + 0*l = -g. What is the remainder when 21 is divided by l?
10
Let k = 6 - -16. Suppose 44*r - 41*r = 15, -t + 3*r = 7. What is the remainder when k is divided by t?
6
Let r be 5/(5/3) - -44. Suppose -r*s + 153 = -46*s. Calculate the remainder when s is divided by 26.
23
Let o(v) = -15*v + 4. Let x = 52 - 26. Calculate the remainder when o(-3) is divided by x.
23
Suppose 3*q + 3 = 4*q. Suppose -147 = -4*h - q*h. What is the remainder when h is divided by 8?
5
Suppose 7*w - 318 + 234 = 0. Let j(s) = s - 1. Let t be j(-1). Calculate the remainder when 49*(-1)/(-1) + t is divided by w.
11
Let h(v) = 25*v**2 - v + 1. Let g be h(1). Let j = -46 + g. Let b = j - -40. What is the remainder when b is divided by 10?
9
Let c(i) = -4*i - 1. Let j be c(-2). Suppose -4*s - j = -127. What is the remainder when 89 is divided by s?
29
Calculate the remainder when (3 - (-68)/(-20)) + (-124)/(-10) is divided by 7.
5
Suppose 0 = l - 0 - 9. Suppose 0*v = 2*v - 8. Let y = v - -2. What is the remainder when l is divided by y?
3
Let v(q) be the third derivative of 19*q**4/24 - 2*q**3 + 12*q**2. Calculate the remainder when v(3) is divided by 23.
22
Suppose 4*k = n - 14, -6*k + k + 80 = 2*n. What is the remainder when n is divided by 20?
10
Let m(r) be the third derivative of r**5/30 + r**4/6 - 4*r**3/3 - 14*r**2. Calculate the remainder when m(-7) is divided by 21.
20
Let x(s) = 3*s**3 + s**2 - 2*s. Suppose i - w - 16 = -0*w, 45 = 3*i - 2*w. What is the remainder when x(2) is divided by i?
11
Let q be 2/(316/(-106) - -3). Let j be (-4332)/(-28) + 6/21. Let y = j - q. Calculate the remainder when y is divided by 17.
15
Let g(r) = -r + 11. Let n(y) = -y + 49. Calculate the remainder when n(-10) is divided by g(-13).
11
Let c be (-1)/((1 + 2)/45). Let g = c + 69. Let k = g - 1. Calculate the remainder when k is divided by 18.
17
Suppose 3*d = 6*d. Let k(h) = -h**3 - 3*h + 56. Let p(u) = 2*u**3 + 4*u - 55. Let n(j) = 3*k(j) + 2*p(j). What is the remainder when n(d) is divided by 15?
13
Suppose 613 = 3*w - 170. What is the remainder when 16/(-12)*w/(-6) is divided by 15?
13
Suppose 186 = -4*j + j. Let g = 67 + j. What is the remainder when 8 is divided by g?
3
Suppose -2*z = 3*z + 150. What is the remainder when (-2 + 9/(-6))*-30 is divided by (-4)/z + (-5239)/(-195)?
24
Let g = 94 + -92. Suppose 0*k = -g*k + 196. What is the remainder when k is divided by 20?
18
Suppose -73 = -5*v + 107. What is the remainder when v is divided by 14?
8
Let u(m) = m**2 - 8*m + 4. Let i be u(8). Suppose i*q = 5*q. Suppose -z - 5*r = -6, r = -z + 6 - q. What is the remainder when 9 is divided by z?
3
Let d(i) = -2*i**2 + 15*i + 14. Let p be d(7). Suppose 0 = 2*c - b - p, 0 + 1 = b. Calculate the remainder when 51 is divided by c.
7
Let r(v) = 3*v**2 - 3*v + 38. Calculate the remainder when r(-8) is divided by 40.
14
Suppose 236 = 3*w - 94. Let m = -62 + w. Let i = m + 4. What is the remainder when i is divided by 27?
25
Let v(o) = o**2 + o - 9. Let j be v(4). Let n = j - 3. Suppose -129 = n*r - 11*r. What is the remainder when r is divided by 15?
13
Suppose 5*s = v - 29, 3*s + 13 = 5*v - 0. Let t(w) = -w**2 - 9*w - 4. Calculate the remainder when 42 + 3/(-6)*6 is divided by t(s).
11
Suppose -7 + 35 = 2*l. What is the remainder when (-335)/(-6) + ((-119)/42 - -2) is divided by l?
13
Let i = -23 + 38. Suppose -i = -d - 0*d. Calculate the remainder when 0 - 0 - 4785/(-165) is divided by d.
14
Suppose -2*v + 2*m + 70 = 0, 4*v + 5*m - 4*m = 160. Calculate the remainder when 56 is divided by v.
17
Suppose 5*m - 155 = -4*y, 2*y = 2*m + 108 - 26. Calculate the remainder when 183 is divided by y.
23
Calculate the remainder when 1352/15 + 56/(-420) is divided by 7.
6
Let b(x) = 21*x**2 - 3*x - 3. Suppose 2*g = -4*g - 6. Suppose 0 = -5*j, 0*u + 5*u - 410 = 2*j. What is the remainder when u is divided by b(g)?
19
Let n = -22 - -31. Suppose n*v = 7*v + 42. What is the remainder when 39 is divided by v?
18
Let o(u) = -2*u**3 + 2*u**2 - u - 2. Let v be o(-1). Suppose 4*m = j + 53, 6*m - v*j + 79 = 11*m. Calculate the remainder when (-2)/3 + 161/3 is divided by m.
11
Suppose -3 = q, -5*q + 197 = 36*n - 32*n. What is the remainder when 847 is divided by n?
52
Let p be 2 + 3 + (-4)/2. Suppose 3*k - i = -3*i + 29, -3*k - p*i + 24 = 0. Let d(s) = s**3 - 2*s**2 - 5*s - 1. What is the remainder when d(5) is divided by k?
10
Suppose 17 = 3*r - o, -4*r + o + 24 + 0 = 0. Let x(b) = -5*b - 6. Let s be x(3). Let w = 25 + s. Calculate the remainder when r is divided by w.
3
Suppose -3*j + 5*m = 3, 5*j - 3*m = m + 8. Suppose 0*f + j*f - 396 = 0. What is the remainder when f is divided by 20?
19
Suppose 0 = 1243*i - 1248*i + x + 25, x = -5*i + 35. Let p = -22 + 38. Calculate the remainder when p is divided by i.
4
Let n(d) = -d**2 - 19*d - 39. What is the remainder when 764 is divided by n(-3)?
8
Let p = 21 + -11. What is the remainder when p is divided by (-91)/(-7) + 4 + 9/(-1)?
2
Suppose -4*g = -3*g - 4. Suppose -g*p - 1 = 3. Let i(l) = 66*l**2 - 1. What is the remainder when i(p) is divided by 33?
32
What is the remainder when -3*258/(-18) + 3 is divided by 6?
4
What is the remainder when (-72 - -9)*(-9 - -8) is divided by 25?
13
Let o be 3/5 - 28/(-60)*3. Suppose 19 = -b + o*b - 3*l, -6 = 3*l. Calculate the remainder when b is divided by 3.
1
Suppose 0*u + 115 = 5*u. What is the remainder when 8*(-9)/36 + 70 + 0 is divided by u?
22
Calculate the remainder when 655 is divided by 1035/90 + (-20)/8.
7
Suppose 0 = -q + 2*q - 1. Suppose -13 - q = -t. Let c(k) = -k**2 + 4*k + 9. Calculate the remainder when t is divided by c(5).
2
Suppose -5*o + 271 = 71. Suppose -3*i + 7*b + o = 2*b, -5*b = 4*i + 5. Calculate the remainder when i is divided by (3/1)/(3/(-12) + 1).
1
Let q(r) = 3*r**2 - 1 + 324*r - 324*r. What is the remainder when 8 is divided by q(-1)?
0
Let y(g) = -g**3 - 5*g**2 - 4*g - 4. Let u(h) = -4*h**3 - 20*h**2 - 16*h - 17. Let n(d) = 2*u(d) - 9*y(d). What is the remainder when 40 is divided by n(-2)?
4
Let g(u) = 3*u - 16. Let h(x) = -x. Let c(r) = -g(r) + 6*h(r). What is the remainder when c(-8) is divided by 30?
28
Let t(h) = -h**2 + 25*h + 2. What is the remainder when t(4) is divided by 15?
11
Suppose 2*z = t - 2*z - 12, -5*t + 5*z + 90 = 0. What is the remainder when 284/4 + (9 - 21) is divided by t?
19
Let d(r) = r**3 + 9*r**2 - 11*r - 14. Let c be d(-10). Let v be c/2 - 6*-2. What is the remainder when 38 is divided by 2/v + (-640)/(-50)?
12
Let t(l) = -l**3 - 12*l**2 - 36*l + 6. What is the remainder when t(-8) is divided by 5?
3
Calculate the remainder when (-30)/(-8)*2*(-3016)/(-290) is divided by 149/7 + 4/(-14).
15
Suppose v - 15 = -4*y, 4*y - 22 = v - 3*v. Suppose 0 = d + 2*d - 39. Calculate the remainder when d is divided by v.
6
Let p = -1448 + 1550. Suppose -2*t = -3*t - 3, -95 = -4*g - 3*t. What is the remainder when p is divided by g?
24
Let f = 59 - 57. Let i(r) = 0*r + 0*r - 2*r + 2*r**2. What is the remainder when i(f) is divided by 3?
1
Let h be ((1125/12)/(-5))/(1/(-16)). Suppose v = 11*v - h. What is the remainder when 56 is divided by v?
26
Suppose 3*f = 2*a + 383, 8*f + a = 3*f + 647. Suppose -m + 4*m = -f. Let v = -31 - m. What is the remainder when v is divided by 5?
2
Suppose 0 = -3*h + 142 + 221. Suppose -5*k + h = 6. Suppose a - 12 = -0*a. What is the remainder when k is divided by a?
11
Suppose -2*n + 60 = 3*n. Let m = -9 + n. Suppose -165 = m*d - 6*d. What is the remainder when d is divided by 28?
27
Suppose -7*c = -9*c + 218. Let m = -3 + c. Calculate the remainder when m is divided by 54.
52
Let q = -34 + 37. Let i(j) = 2