 36 = -4*x + 4*w, -3*x = 2*w - 27. Let z = 16 + x. Suppose -9 = -3*t - 3*i, t + 4*i - 2*i = -1. What is the remainder when z is divided by t?
4
Suppose -4*o = -8*o + 432. Suppose 3*j = -3 + 12. Suppose -4*g - m + o = j*m, 0 = -4*g + m + 133. What is the remainder when g is divided by 9?
5
Suppose -6*c = 3*c - 1215. Suppose 12*k = c + 105. Calculate the remainder when 72 is divided by k.
12
Let k(s) = -s**3 + 9*s**2 + 85. Calculate the remainder when k(0) is divided by 40.
5
Let y(h) = h**2 - 4*h + 2. Let b be y(4). Suppose 0*v + 3*v - 57 = 4*k, 3*k = b*v - 39. What is the remainder when 57 is divided by v?
12
Suppose -4*c - a = -0*c - 11, 0 = 5*a + 25. Suppose -4*w + 15 = -125. What is the remainder when w is divided by 1/((-1)/(-8)) + c?
11
Suppose -7 = -x + 7. Suppose -x = 4*b - 238. What is the remainder when b is divided by 31?
25
Suppose 0*z + 40 = -4*z. Let h = z - -32. Suppose -688 = 48*u - 56*u. What is the remainder when u is divided by h?
20
Suppose 551 = 3*v + 4*l, 4*l = 2*v + 5*l - 369. What is the remainder when v is divided by 19?
14
Suppose s - 3*k - 148 = 0, 4*s + 5*k - 822 + 162 = 0. Let j = s + -14. Calculate the remainder when j is divided by 37.
35
What is the remainder when 1204 is divided by ((-2265)/(-20) - -7) + 9/12?
115
Suppose -3*c - 2*h + 80 = 3*c, 3*h + 34 = 2*c. Calculate the remainder when 66 is divided by c.
10
Let i be (-16 - 2)*(-2 + (-4)/(-3)). Suppose 7*h = 89 - i. Calculate the remainder when 40 is divided by h.
7
Let p = 384 - 170. Calculate the remainder when p is divided by 75.
64
Suppose 3*k - 559 = 3*d - 2008, 1 = -k. Calculate the remainder when d is divided by 22.
20
Let v = -269 + 411. What is the remainder when v is divided by 9?
7
Suppose 16 - 73 = -3*v. Calculate the remainder when (30*(-2)/(-16))/(6/40) is divided by v.
6
Let f(n) = -2*n**2 - n + 5. Let h(b) = -5*b**2 - 2*b + 14. Let p = 5 + -13. Let z(w) = p*f(w) + 3*h(w). What is the remainder when z(5) is divided by 8?
5
Suppose -2*s - 2*s + 5*n = -163, 3*s - 5*n - 121 = 0. What is the remainder when s is divided by 24?
18
Suppose 0 = c - 6 - 0. Calculate the remainder when 35 is divided by c.
5
Let v = 249 + -230. Suppose 4*c = -0*c - 108. What is the remainder when 32/6*c/(-4) is divided by v?
17
Suppose -3*x - 84 = -4*p, 2*x + 3*x + 52 = 3*p. Calculate the remainder when (p/(-15))/(3*4/(-60)) is divided by 4.
0
Suppose v + 2 = 3, -5*z + 98 = 3*v. What is the remainder when 169 + (-1 - 0) + 2 is divided by z?
18
Let k(n) = 11*n**2 - 9*n + 18*n**2 - 30*n**2 - 56 - 7*n. Calculate the remainder when 47 is divided by k(-6).
3
Let k be (-3)/(((-15)/(-2))/(-5)). Suppose 11 - k = -3*z. What is the remainder when 9 is divided by (-7 - -6)*z*1?
0
Let v = 8 + 11. Let n = 71 - 135. Let u = n - -75. Calculate the remainder when v is divided by u.
8
Let f(k) = 7*k + 0*k - k + 3*k**2 - k**3 - 2. Let i be f(4). What is the remainder when 25 is divided by 46/i + 4/(-6)?
4
Suppose -32*k + 362 = -2998. Calculate the remainder when k is divided by 46.
13
Suppose -44 = -4*j + 5*p, -p - 60 = -4*j - 0*p. Suppose 5*x + j = 7*x. What is the remainder when 9 is divided by x?
1
Let f = 376 - 340. Calculate the remainder when f is divided by 26/(1 + 1) + 1.
8
Let k(l) = -l + 4. Let s be k(-3). Suppose x + 0*x - s = 0. Suppose p + p - 40 = 0. Calculate the remainder when p is divided by x.
6
Let l(f) = -2*f + 266. Let i be l(0). Let k = -186 + i. Calculate the remainder when 38 is divided by 4/10 + 768/k.
8
Suppose c + 87 - 13 = 2*m, 0 = -4*m - 2*c + 156. Suppose 0 = -2*d - d + 177. Let u = d - m. What is the remainder when u is divided by 11?
10
Suppose 135*u = 119*u + 704. Calculate the remainder when 79 is divided by u.
35
Suppose 3*l + 2*l - w - 53 = 0, 4*l - 38 = 3*w. Suppose 2*o + 3 = 9. Calculate the remainder when 2/o - (-1143)/27 is divided by l.
10
Let t(w) = 6*w**2 - 5*w - 7. Let v be t(4). Let j = 94 - v. Calculate the remainder when j is divided by 17.
8
Let o = -101 + 52. Let d = o - -59. Calculate the remainder when d is divided by 4.
2
What is the remainder when 63 is divided by (-174)/9*(-21)/14?
5
Suppose -d + 8 = -2*k, 3*d = 1 + 5. Let r(m) = 2*m**2 + 5*m + 4. Suppose 0 = 7*c + 1 - 29. Calculate the remainder when r(k) is divided by c.
3
Let y(v) = v**2 - 6*v + 6. Suppose -45 + 11 = m. Let c = -19 - m. What is the remainder when c is divided by y(6)?
3
Suppose a + 18 = 22. Suppose -4*o = a*o - 48. What is the remainder when 15 is divided by o?
3
Suppose -23*b + 25*b - 244 = 0. Calculate the remainder when b is divided by 27.
14
Calculate the remainder when (-5 - -3) + 29 + 1 + -4 is divided by 15.
9
Suppose m + 12 = -m. Calculate the remainder when 129 is divided by (-5)/10*m + 19.
19
Suppose -8*j + 385 = -215. What is the remainder when j is divided by 24?
3
Suppose 5*f = k + k - 15, -k - f = -18. Let r(c) be the third derivative of -5*c**4/8 - c**3/2 - 2*c**2. What is the remainder when r(-4) is divided by k?
12
Suppose -23*v + 28*v = -15. Let m(i) = -3*i - 7. Let y be m(v). Calculate the remainder when 39 is divided by ((-77)/44)/(y/(-24)).
18
Let t = 31 + 206. What is the remainder when t is divided by 12?
9
Let j be -1 - (-3 - (1 - -7)). Let g = j + -4. Suppose -3*u + t - 25 = -4*u, 0 = -5*u - 3*t + 133. Calculate the remainder when u is divided by g.
5
Suppose 0 = 105*f - 125*f + 260. Let b(s) = 2*s**2 + 3*s + 5. What is the remainder when b(-4) is divided by f?
12
Suppose 2*s - 21*s = -3021. What is the remainder when s is divided by 32?
31
Suppose 5*m = 4*q + 46, 4*m = -31*q + 36*q + 44. Let t(b) = -4 + b**2 - 4 + 3 - 5*b - 4. What is the remainder when t(8) is divided by m?
3
Suppose 3*c = -3*o - 3, -2*c - 2 - 5 = -3*o. Let j(g) = -g**2 - 5*g - 2. Let s be j(-4). What is the remainder when 29 is divided by (s/o)/(4/20)?
9
Let j = 19 + 36. Let k = -278 + 292. Calculate the remainder when j is divided by k.
13
Let y be (-7)/(-21) + 272/3. Suppose 3*g + 3*p - 159 = 0, 0 = -g + 3*g - 3*p - y. Suppose -a = -6*a + g. Calculate the remainder when 39 is divided by a.
9
Suppose 5*m + 2*i = 101, -5*m + 5*i + 86 = 2*i. Let h(f) = -f**2 - 31*f - 119. Calculate the remainder when m is divided by h(-5).
8
Let o(y) = -826*y + 5009. Let p = 16 + -11. Suppose -5*n + 4*v + 44 = -n, -p*n - v = -79. Calculate the remainder when o(6) is divided by n.
8
Let f = 3 - -18. Suppose 2*m - 25 = -3*m. Suppose -m*p = -87 - 118. Calculate the remainder when p is divided by f.
20
Let y(j) = 66*j. What is the remainder when y(1) is divided by (-10)/4*-2*(-207)/(-45)?
20
Let y = -9 + 19. Let z = y + -2. Calculate the remainder when (-2)/(-5) + (-572)/(-20) is divided by z.
5
Let p(n) = 2*n + 80. What is the remainder when p(-9) is divided by 26?
10
Let c(y) = y**3 - 3*y**2 + 5*y - 6. Let v be c(4). Let d = v + -18. Suppose 4*t - 12 = 0, -q = 2*q + 4*t - 81. What is the remainder when q is divided by d?
11
Calculate the remainder when 138 is divided by (-15 + (-164)/(-12))*(0 + -15).
18
Let j = 14 - -11. Suppose -2*q - 10 = 3*q, -l + 9 = 3*q. Calculate the remainder when 1479/l + 3 + (-39)/15 is divided by j.
24
Suppose -91 = -8*b + b. Calculate the remainder when b is divided by (16/10)/(8/20).
1
Let b(y) = y + 283. Let r be b(0). Let z = -167 + r. Calculate the remainder when z is divided by 39.
38
Suppose 0 = 10*k - k - 90. Suppose -2*n + 17 = -41. Calculate the remainder when n is divided by k.
9
Suppose -2*l + 21 = -a - 1, 20 = l - 5*a. Let d = l - 4. What is the remainder when 14 is divided by d?
2
What is the remainder when (2*(-4 - -3))/(1/(-26)) is divided by 16?
4
Suppose 20*l - 230 = 170. What is the remainder when 79 is divided by l?
19
Suppose -o - 2*r - 5 = 0, 3*r - 25 = 8*o - 3*o. Suppose -j = -3*j + m + 30, -5*j + 74 = -2*m. Let p = j + o. Calculate the remainder when 35 is divided by p.
8
Let j(p) = 29 - 12 + p**2 - 12*p + 3. Calculate the remainder when 59 is divided by j(12).
19
Let x(f) be the first derivative of -3*f**2 - 6*f + 3. Suppose -2*r = -r + i - 11, -r + 23 = -5*i. What is the remainder when x(-5) is divided by r?
11
Let z = 8 - 7. Let h be -16 + 5/((-20)/16). Calculate the remainder when h/(-9) - 6/27 is divided by z.
0
Let x(w) = -3*w + 51. Calculate the remainder when 223 is divided by x(2).
43
Let u be -2*((-49)/2)/7. Suppose -5*o = -31