
Suppose -3*a - 23 - 34 = -3*p, -a - 49 = -3*p. Suppose 47*m - 48*m + 4517 = 16*d, -2*m - 588 = -2*d. What is the remainder when d is divided by p?
13
Suppose -d - 249 = 2*d. Suppose 12*q + 3900 = 51*q. Let y = d + q. Calculate the remainder when 44 is divided by y.
10
Let k = 210 + -196. Suppose k*i - 46 = 94. What is the remainder when 47 is divided by i?
7
Suppose 0 = t - 4*t + 129. Let r = 1155 - 1127. What is the remainder when t is divided by r?
15
Let r(f) = -3*f - 7 - 4*f**3 + 1 + 5*f**3 + 4*f**2 + 0*f**3. What is the remainder when -4*((-4)/8)/(2/10) is divided by r(-4)?
4
Suppose -8509*h = -8502*h - 371. Calculate the remainder when h is divided by 28.
25
Let q(p) = 496 + p**3 - 959 - 8*p**2 - 9*p + 485. Calculate the remainder when 99 is divided by q(9).
11
Let t(c) = 22*c - 13. Let i(g) = -g**2 - 13*g + 51. Let l be i(-16). Calculate the remainder when t(l) is divided by 2/(24/11 - 2).
9
Let p(m) = m**3 + 17*m**2 - 31*m - 190. What is the remainder when 148 is divided by p(-18)?
16
Let b = -23 + 98. Suppose 3*w + 5 = -2*g, -2*g + 5 = -4*w - 11. Suppose -76 = -4*v + g*v. Calculate the remainder when b is divided by v.
37
Let h(t) = 5*t**2 - 10*t + 131. Let p(r) = -7*r**2 + 9*r - 131. Let j(q) = 4*h(q) + 3*p(q). What is the remainder when 27 is divided by j(-19)?
10
Suppose -2*b - 193 = 5*g - 241, -8 = -2*g + 2*b. What is the remainder when g is divided by 2?
0
Let r(q) = -7*q + 10*q + 4 - 5*q - 15*q - q**2. What is the remainder when r(-5) is divided by 19?
7
Let b = 6 + -3. Suppose 3*q = -b*g, 5*g + 34 = 9. Suppose -4*a - 80 = -q*u, u - 5*u + 4*a + 64 = 0. What is the remainder when 157 is divided by u?
13
Let y = -888 - -885. Let m = 301 + -167. What is the remainder when m is divided by (17 - 14)/(y + (-84)/(-27))?
26
What is the remainder when 498 is divided by 999/(-74)*112/(-12)?
120
Let t = -14 + 31. Let i = 2444 - 2175. What is the remainder when i is divided by t?
14
Let k = -19991 - -20009. Calculate the remainder when 16719 is divided by k.
15
Let d = 1613 - 1137. Let l = 757 - d. Calculate the remainder when l is divided by 47.
46
Let o = 9432 - 8047. Calculate the remainder when o is divided by 448.
41
What is the remainder when 532 is divided by (63 - -279)*(-6)/(-4)?
19
Suppose 20*t = -19*t + 4961 - 1061. Calculate the remainder when 308 is divided by t.
8
Suppose 4*m - 11 - 1 = 0. Let i(s) = 3*s**2 + 2*s + 4. Calculate the remainder when i(m) is divided by 11.
4
Let y = -4538 + 4601. What is the remainder when 115 is divided by y?
52
Let l(b) = b**2 - 9*b + 44. Let f be l(13). Suppose 0 = -28*s + 22*s + f. Suppose i - s = 3. Calculate the remainder when i is divided by 12.
7
Let s(y) = 5*y**2 + 57*y + 84. What is the remainder when s(-11) is divided by 14?
6
Suppose -2*u - 4*i = -988, -4*i = -6*i. Calculate the remainder when u is divided by 135.
89
Let z(a) = -227*a - 7714. Calculate the remainder when 12511 is divided by z(-34).
3
Suppose 5*d = 4 + 16. Let m = 213908 + -213873. What is the remainder when m is divided by d?
3
Let j(c) = 5*c - 1. Let p(a) = -814*a - 12195. What is the remainder when p(-15) is divided by j(2)?
6
Suppose 13*b - 281 = 9*b + t, 4*t = -5*b + 346. Suppose -x - a - 7 = -42, -2*x - 5*a = -b. Let w = 24 - 11. What is the remainder when x is divided by w?
9
Suppose -111*s + 291140 = -328573. Calculate the remainder when s is divided by 7.
4
Suppose 3*o + 13 = 4*o. Let w(c) = c**2 - 14*c + 30. What is the remainder when 303 is divided by w(o)?
14
Let n = 4393 - 3888. What is the remainder when n is divided by 100?
5
Let g(v) = -2*v**3 + 134*v**2 - 303*v + 52. What is the remainder when g(64) is divided by 5?
1
Calculate the remainder when 66154/33 - (126/27 - 4) is divided by 57.
9
Suppose -3*f = -7 - 17. Suppose 0 = 4*j - 5*z - 37, -5*z + 76 = 3*j + 22. What is the remainder when j is divided by f?
5
Suppose 0 = -10*o + 12*o - 13*v - 5180, 4*v + 5126 = 2*o. Calculate the remainder when o is divided by 197.
187
Let x(n) = n**2 - 58*n + 2. Let b be x(13). What is the remainder when 738 is divided by (b/(-55))/(3/30)?
102
Suppose 289*w + 5649 - 18725 = -178*w. Suppose 0*c - 498 = -3*c. What is the remainder when c is divided by w?
26
Let k(p) = 12*p - 14. Let s be k(2). Suppose 3*t + 273 = 2*f, -s + 200 = -2*t + 4*f. Let m = -82 - t. What is the remainder when 25 is divided by m?
4
Suppose 8 = -3*y - 2*v + 209, 2*y + 4*v - 150 = 0. Calculate the remainder when y is divided by 1 - (0 - 42/2).
19
Suppose -3*c = 2*f - 12, -5*f = -4*c + 3*c + 4. Suppose -8*x + 3*x + 5*w = -50, 5*x + 2*w - 57 = f. What is the remainder when x is divided by 3?
2
Suppose 4*c - 1148 = -4*t, 3*t - 4*c = -c + 873. Let p = t + -163. What is the remainder when p is divided by 23?
11
Let j = 5720 - 5691. Calculate the remainder when 47 is divided by j.
18
Let t = 7340 + -7320. What is the remainder when 1200 is divided by t?
0
Let k(i) = -i**2 - 169*i - 6104. What is the remainder when 866 is divided by k(-53)?
30
Let j = 523 + -496. Suppose 69 = 9*r - 6*r. Suppose 0 = q - 111 - r. Calculate the remainder when q is divided by j.
26
Let k be 8/(6 + 222/(-36)). Let l = -17 - k. Calculate the remainder when 91 is divided by l.
29
Let p(k) = k**3 + 6*k**2 + 6*k - 4. Let q be p(-4). Suppose -3*f + 10 = 3*d - 134, q*f - 5*d - 174 = 0. What is the remainder when f is divided by 4?
2
Let p = 1332 - 1325. Calculate the remainder when 2965 is divided by p.
4
Let t(s) = -s**2 - 29*s - 54. Suppose -27*x = 390 + 123. Calculate the remainder when t(x) is divided by 14.
10
Suppose -5*f + 4*m + 1771 = 0, -4*f + 9*f + 5*m = 1780. Let u = f + -331. What is the remainder when 357 is divided by u?
21
Let t = -5 - -6. What is the remainder when 462 is divided by -29*t/((-24)/(-6) + -5)?
27
Let v = 27 - -199. Suppose 0 = -46*s + 44*s + v. What is the remainder when s is divided by 12?
5
Let j(v) be the first derivative of -3*v**2/2 + 44*v - 94. Calculate the remainder when 93 is divided by j(3).
23
Let s = -6287 + 6459. Calculate the remainder when 397 is divided by s.
53
Suppose -251*s - 1700 + 22709 - 427 = 0. Calculate the remainder when s is divided by 7.
5
Let n(o) = -2*o**3 - o**2 - 2*o - 5. Let c be (-12)/(-9)*6/(-4). Let g(x) = -16*x. What is the remainder when g(-2) is divided by n(c)?
10
Calculate the remainder when 264 is divided by ((-18)/(-2))/((-390)/(-260)).
0
Let h(a) be the first derivative of 8*a - 43 + 2*a**3 - 5/2*a**2 + 1/4*a**4. Calculate the remainder when h(-5) is divided by 12.
10
Suppose 5*k + 5*m - 11 = 4*k, 3*k = 4*m + 33. Suppose k*o - 4*o = 1218. Calculate the remainder when o is divided by 5.
4
Let l(r) = r**3 + 4*r**2 - 3*r - 2. Suppose 4*b - 20 = 3*t, -4 - 6 = -5*b. Let n = -16 + 32. What is the remainder when n is divided by l(t)?
6
Let k be (-20)/8*120/(-25). Calculate the remainder when 33 is divided by 117/k - 39/52.
6
Let w(n) = 233*n + 34044. Calculate the remainder when 1396/14 - 4/(-14) is divided by w(-146).
22
Let o(h) = -h**3 + 4*h**2 + 4*h - 5. What is the remainder when (38/10)/((-370)/25 - -15) is divided by o(4)?
8
Let l = -54 - -101. Suppose 0 = 4*y - 16 - 16. Let i(g) = g**2 - 5*g - 7. Calculate the remainder when l is divided by i(y).
13
Let t(d) = 17*d**2 + 2*d + 1. Suppose 17*x - 2767 - 15882 = 0. Suppose 447 = -26*y + x. Calculate the remainder when y is divided by t(-1).
9
Let y = -3 + 64. Let f = y + -1. Calculate the remainder when 177 is divided by f.
57
Suppose 12*g - 290 = -2. Suppose 0 = -7*j + 55 + 36. What is the remainder when g is divided by j?
11
Suppose -14*l + 36 = -5*l. Suppose 5*z - 21 - 25 = -l*p, z + 72 = 5*p. Let c = p - 8. Calculate the remainder when 16 is divided by c.
4
Let s be ((-228)/57)/(1*4). Let g(b) = -56*b. Let d(c) = 5*c. What is the remainder when g(s) is divided by d(2)?
6
Let r(k) = k**2 + 45*k + 2. Let z be r(-25). Let a = -480 - z. What is the remainder when 47 is divided by a?
11
Suppose 18 = 2*a - 5*k, 5*k - 8*k + 48 = 3*a. Calculate the remainder when 28 is divided by a.
0
Let k(h) = 12*h - 7. Let o be k(1). Suppose -f = -12*q + 16*q - 99, -f = o*q - 124. What is the remainder when 81 is divided by q?
6
Suppose 0 = -3*v + 3*b + 3, 2*b + 2 = 4*v - 6. Suppose 55*y - 2124 + 832 = 2228. Suppose -v*a + y = -56. What is the remainder when a is divided by 7