e (24/(-36))/((-2)/12). Suppose -a*x = -7*x + 5*h - 413, -h = 5*x + 707. Let u = x + 207. Calculate the remainder when u is divided by 23.
20
Let w(d) = 13*d**2 + 14*d + 84. What is the remainder when w(-4) is divided by 70?
26
Let q = -2 - -24. Calculate the remainder when q is divided by ((-1)/(-3))/((7/(-36))/(-7)).
10
Suppose 80*a = 2*s + 81*a - 44, 3*s - 66 = 2*a. What is the remainder when 60 is divided by s?
16
Suppose -b - 310 = -5*l, 2*l - 4*b = 14 + 92. What is the remainder when l is divided by 43?
20
Let y(x) = -x**2 - 24*x - 47. What is the remainder when y(-14) is divided by 7?
2
Let u = -10 - -10. Suppose u = -0*h - 5*h + 15. Suppose h*p = z - 9, -p = -6*p + 15. What is the remainder when z is divided by 5?
3
Let s be 29 - (15/(-5) - -3). Let c = 102 - s. What is the remainder when c is divided by 19?
16
What is the remainder when 4 + -1 + -1 + 31 + -2 is divided by 11?
9
Suppose 5 = m + 3, -4*a = -m + 154. Let g = 54 + a. Calculate the remainder when 61 is divided by g.
13
Suppose -12*d = -31*d + 209. What is the remainder when 59 is divided by d?
4
Suppose 0*b = 4*b + 5*a - 136, 3*b = -a + 102. Suppose -3*s - 325 = -8*s. Suppose 5*q - s = -5. Calculate the remainder when b is divided by q.
10
Let j = 19 - 33. Let d be (-2 - 0) + j + 7. What is the remainder when 4 is divided by (d/(-15))/((-6)/(-30))?
1
Suppose 17*r - 387 - 327 = 0. What is the remainder when 82 is divided by r?
40
Suppose 5*w - 1 = -2*b + 19, 23 = 3*w - b. Let y be -1*2*(-1)/(-2). What is the remainder when (y + -6)*(-3 - w) is divided by 33?
30
Suppose q - 4*q + 18 = -f, 5*q = 4*f + 58. Let m = f + 19. Calculate the remainder when 24 is divided by m.
3
Let c(w) = -w**3 - 6*w**2 + 13*w + 13. Suppose 5*x = 205 - 55. Suppose 0 = -m + x - 10. What is the remainder when c(-8) is divided by m?
17
Suppose -2*z + 3*g = -z - 249, 2*z - 5*g - 503 = 0. What is the remainder when z is divided by 53?
52
Let o = 0 - -4. Suppose -125 = -o*l - l. Calculate the remainder when l is divided by 13.
12
Suppose -86 = -17*n + 15*n + 5*u, 2*n = u + 70. What is the remainder when n is divided by 27?
6
Let z = 0 + 17. Let l(h) = h**3 + 3*h**2 + 9*h + 11. Let x be l(-6). Let n = x - -157. What is the remainder when z is divided by n?
5
Suppose 0 = -f - 3*w + 8*w + 26, 4*f + w - 188 = 0. Suppose 11*p = 9*p + f. What is the remainder when 29 is divided by p?
6
Suppose -20*p + 21*p + 4*j = 56, 0 = p - j - 31. Calculate the remainder when 211 is divided by p.
31
Let m(g) = 4*g**2 + 87*g - 53. Calculate the remainder when m(-24) is divided by 59.
45
Let k(n) = 14*n - 73. What is the remainder when k(10) is divided by 36?
31
Suppose -5*l + l + 196 = 4*h, -2*l - 4*h + 90 = 0. Let m = 98 - l. What is the remainder when 87 is divided by m?
42
Calculate the remainder when (-11 + 350)/((-2)/(-4)*2) is divided by 164.
11
What is the remainder when 285 is divided by -2*(390/(-25) + 2/(-5))?
29
Let n(u) be the third derivative of -u**4/24 - u**3/3 + 26*u**2. Suppose -b - 6 = -20. Calculate the remainder when b is divided by n(-7).
4
Let l(q) = -2*q**3 + 10*q**2 - q - 2. Calculate the remainder when 299 is divided by l(2).
19
Suppose g = -3*g + 104. Let k = 29 - g. Suppose -f - 2*f - 233 = -4*a, -k*f + 239 = 4*a. Calculate the remainder when a is divided by 15.
14
Let o = 1767 - 1607. Calculate the remainder when o is divided by 56.
48
Suppose 5*g + 3*p = 36, -2*g - 5*p + 11 = 8. Let f(y) = -y + 8. Let d be f(6). What is the remainder when g is divided by d/3 - 14/(-6)?
0
Suppose 0 = 34*k - 32*k - 18. Suppose -2*q + 202 = 5*m, 2*m - m = 2. Suppose l = -2*l + b + q, 2*l + 3*b = 75. What is the remainder when l is divided by k?
6
Let g = 27 + -24. Suppose 288 = g*k - 3*o, -3*k + 6*k - o = 290. What is the remainder when k is divided by 25?
22
Let m(v) = 7*v**2 - 3*v - 12. Let k(l) = -l**3 - 6*l**2 - 6*l - 1. Let f be k(-5). What is the remainder when m(f) is divided by 23?
19
Let p(n) = n - 7. Let i be p(6). Let d be (i - 0) + 14 + 2. Suppose 2*r - d = -r. Calculate the remainder when r is divided by 2.
1
Suppose 33*t = 28*t + 80. Calculate the remainder when 31 is divided by t.
15
Suppose 5*h - 2*f - 105 = -0*h, 4*h - 84 = -f. Let c = -19 + h. Suppose 4*u = c*l - 2 + 16, -2*u + 2 = -2*l. What is the remainder when 15 is divided by u?
3
Let p = 10 + -6. What is the remainder when 168/7 - (-3 - -6) is divided by p/(-20) - 62/(-10)?
3
Let t = 37 - -12. Calculate the remainder when t is divided by 28.
21
Let s(u) be the first derivative of -u**4/4 - 22*u**3/3 + 24*u**2 + 11*u - 2. Calculate the remainder when s(-24) is divided by 4.
3
Let b = 15 - -10. Let m be ((-10)/b)/(1/(-100)). Suppose -2*s - 2*v + 34 = 0, 2*s = v - 0*v + m. What is the remainder when 94 is divided by s?
18
Let b = 55 + 28. Suppose 0 = 4*k - 257 - b. What is the remainder when k is divided by (-45)/270 - (-133)/6?
19
Let g(q) = q**3 + 4*q**2 - 5*q + 3. Let u be g(-5). Suppose -5*b + 479 = u*c, -b - 155 = -c + 2*b. Calculate the remainder when c is divided by 20.
18
Let f(x) = 20*x**2 - x. Suppose 23*w + 84 = 222. Calculate the remainder when f(1) is divided by w.
1
Suppose 304 + 76 = 4*u. What is the remainder when u is divided by 8?
7
Suppose 5*x + 23 = 18. Calculate the remainder when 42 is divided by 2 - (3 + 6*x).
2
Suppose 0 = 22*t - 16*t - 1188. Calculate the remainder when t is divided by 26.
16
Suppose -g - 5*r + 29 = -47, r - 308 = -5*g. Let n(d) = 3*d**2 - 5*d - 175. Calculate the remainder when g is divided by n(-7).
5
Let m(z) = 2*z - 4. Let b be m(3). Suppose 0 = -b*g - g + 177. What is the remainder when g is divided by 20?
19
Suppose -1632 - 52443 = -5*x. Let n = x - 7055. What is the remainder when (-2)/(-13) - n/(-65) is divided by 20?
18
Let b be (3 + -1 + 0)*-3. Let m(l) = -11*l. Let c = 36 - 19. Calculate the remainder when m(b) is divided by c.
15
Calculate the remainder when 144/2 - ((-27)/(-3) + -7) is divided by 25.
20
Let b(u) = 2*u**3 - 14*u**2 + 14*u - 25. Calculate the remainder when b(8) is divided by 54.
53
Let d be 0/(3/(-1)) - (1 + -3). Suppose -4*w = d - 118. What is the remainder when w is divided by 10?
9
Let j(w) = 2*w**3 - 3*w**2 - 3. What is the remainder when (18/24)/(2/184) is divided by j(3)?
21
Let i = 88 - 83. Let t(b) = 8*b + 35. What is the remainder when t(i) is divided by 13?
10
Calculate the remainder when (207/115)/(3/130) is divided by 9.
6
What is the remainder when ((-4)/16 + 1)/(5/680) is divided by 30?
12
Let i(t) = -16*t**3 + 2*t**2 + t. Let x = 29 - 23. What is the remainder when i(-1) is divided by x?
5
Suppose -4*u - 4*n + 1928 = 0, -u - 5*n + 1932 = 3*u. What is the remainder when u is divided by 122?
112
Let l = 18 - -165. Suppose 8*t - l = 177. Let n = 33 + -17. What is the remainder when t is divided by n?
13
Suppose -47 = -0*d - 3*d + k, -2*k + 42 = 2*d. Let x be -1 + -1*4*(0 - 8). Let j = x - d. What is the remainder when 26 is divided by j?
12
Let j = 428 - 421. Calculate the remainder when j is divided by 3.
1
Suppose 4*b - b - 12 = 0. Suppose 5*w + 9 = a, 5*a + 0*w - 3 = b*w. Let t(z) = 11*z**2 + z + 2. What is the remainder when t(a) is divided by 7?
5
Let t = 122 - 75. Let b = 34 - 22. What is the remainder when t is divided by b?
11
Suppose 0 = 4*v + 4*y - 32, -4*v + 2*y - 161 + 163 = 0. Let k(c) = 2*c - 6. What is the remainder when k(5) is divided by v?
1
Let j(r) = r**2 + 15*r + 44. Let t be j(-14). Calculate the remainder when 1134/t - (-3)/15 is divided by 5.
3
Suppose 4*l + 36*l - 4000 = 0. What is the remainder when l is divided by 7?
2
Let m = -103 + 14. Let q = m - -109. What is the remainder when 98 is divided by q?
18
Let c = 4 + 1. Suppose 3*n - 112 = -0*w + c*w, -5*n + 197 = 2*w. What is the remainder when n is divided by (-1)/(-1) + 9 + 0?
9
What is the remainder when 213 is divided by ((-16)/(-10) + -2)/(44/(-1320))?
9
Let a = 51 - -57. Calculate the remainder when a is divided by 11.
9
Let p = -171 - -182. Calculate the remainder when 163 is divided by p.
9
Let w(h) = h**3 - 5*h**2 + h - 5. Let l be w(5). Suppose g - 62 - 2 = l. Calculate the remainder when g is divided by 33.
31
Let y(w) = w**3 + 9*w**2 + 6*w - 1. Let k be y(-8). Suppose 0 = -o + 2*o - k. Calculate the remainder when 42 is divided by o.
12
Suppose -15*t + 3354 = -1236. What i