 remainder when 573 is divided by 277 + -1 - (-23)/((-207)/(-54)).
9
Suppose 12 = 3*r - 18. Suppose r*l - 88 = 122. What is the remainder when 776 is divided by l?
20
Suppose 44 + 43 = v. Let x = -206 - -378. Suppose 4*y + 4*z - x = 0, -y = 8*z - 9*z - 47. Calculate the remainder when v is divided by y.
42
Let t be ((-2192)/(-20) - (-6)/(-10)) + 5. Let f = -102 + t. What is the remainder when 57 is divided by f?
9
Let z(r) = -r**3 + 44*r**2 + 78*r - 1457. Let j = -6 - -8. What is the remainder when z(45) is divided by j?
0
Let b(m) = -m**2 - 148*m + 4434. What is the remainder when 2282 is divided by b(25)?
102
Let x(d) = 9*d**2 + 17*d + 559. What is the remainder when x(-22) is divided by 71?
68
Suppose 0*k - 2*k = 3*q - 49, -5*k + 112 = -3*q. Let n = 119 - 105. Suppose 30*g - 80 = n*g. Calculate the remainder when k is divided by g.
3
Let i(z) = 16*z + 215. Let k be i(-12). Suppose -k*a = a - 576. Calculate the remainder when 55 is divided by a.
7
Let x(j) = -j**3 + 40*j**2 - 196*j - 24. What is the remainder when x(34) is divided by 67?
47
Let c = 613 + -626. Calculate the remainder when 105 is divided by 21*((-13)/(-12) - c/52).
21
Let k(v) = 2 - 21*v - 14*v + 42*v + v**2. Let i be k(-4). Calculate the remainder when 30/4*((-72)/i)/2 is divided by 5.
2
Suppose -2*b = -6*t + 2*t + 86, -5*t + 166 = -4*b. What is the remainder when 119 is divided by 2 + 25/(-5) - b?
11
Suppose 17*n - 12 = 5. Calculate the remainder when (-18972)/(-108) + ((-5)/3)/n is divided by 59.
56
What is the remainder when (-2 + 2 - 1) + 468 is divided by (-156)/9*(46/(-20) - 120/(-150))?
25
Suppose -6 = -3*t, 6*f = 4*f + 4*t - 60. Let r = f - -110. What is the remainder when r is divided by 18?
12
Let d be (-49)/147 + 1*(-8)/3. Calculate the remainder when d/(-2) + 3870/36 is divided by 28.
25
Let h be ((-56)/(-10) + -2)*30/(-12). Let o(x) be the second derivative of -4*x**3/3 - 7*x**2 - 10*x. What is the remainder when o(h) is divided by 12?
10
Suppose -5*m + 19 = -36. Let y(q) = -3*q - 55. Let p be y(-22). Suppose p*c = 15*c - 216. What is the remainder when c is divided by m?
10
What is the remainder when 278 is divided by 86/(-258) + (-292)/(-3)?
84
Suppose 11*u - 7 = 12*u. Let n = u - 58. What is the remainder when 58 is divided by (-223)/(-13) + 10/n?
7
Let f(g) = 1291*g**2 + 215*g + 3. Calculate the remainder when f(-4) is divided by 36.
35
Suppose 4*t = -2*l + 314, l - 640 = -3*l - 2*t. Let r = -67 - -230. Suppose 28 - r = -5*q. What is the remainder when l is divided by q?
26
Let n = 54668 + -54652. Let y = -41 - -81. What is the remainder when y is divided by n?
8
Suppose 144*o = 1758 + 546. What is the remainder when o is divided by 9?
7
Suppose 3*w - 403 = 3*a + 71, 2*a + 634 = 4*w. Suppose 10*f - 5*f - 100 = 0. What is the remainder when w is divided by f?
19
Let d = 3974 - 3786. What is the remainder when 457 is divided by d?
81
Suppose -h + 19 = 4*z + 2*h, -4*z = 5*h - 13. Let t be (-39 + (-2)/(-2))*(5 - z). Let p = t + -57. Calculate the remainder when 53 is divided by p.
15
Suppose 2*n - 2*a + 142 = 0, 4 = -18*a + 14*a. Calculate the remainder when n*(1 + (-3)/4)*-2 is divided by 5.
1
Let n = -19 - -22. Suppose -3*r + 12 = 4*l - n*l, 5*l - 150 = 3*r. Suppose 0 = 6*p - p - 390. Calculate the remainder when p is divided by l.
24
Let m(h) = -2*h - 30. Let t be m(-26). Suppose -2*x + 46 = t. Suppose 0 = x*g - 9*g - 123. What is the remainder when g is divided by 24?
17
Suppose 2*z = -3*z + 25. Suppose 11*g = 1811 - 1602. Let n(o) = o**3 - 19*o**2 + 4*o - 57. What is the remainder when n(g) is divided by z?
4
What is the remainder when 8495 is divided by 132 + -5*(-154)/(-55)?
117
Suppose 29*l - 3861 = -1760 + 4250. What is the remainder when 463 is divided by l?
25
Let a(l) = l**3 - 4*l**2 - 16*l + 27. Let p be a(6). Suppose -3*b + 0*n + 75 = p*n, 4*n - 50 = -2*b. Calculate the remainder when 48 is divided by b.
23
Suppose 5*k = 2*a - 91, 110 = 4*a - 5*k - 77. Calculate the remainder when 9582/(-51)*-1 - 44/(-374) is divided by a.
44
Let m(b) = b**2 - 19*b - 15. Let r be m(22). Let j = -28 + r. Calculate the remainder when 44 is divided by j.
21
Let s = 9102 - 9036. What is the remainder when 4814 is divided by s?
62
Let y(i) = 10 + 9 - 19*i**2 + 23 - i**3 - 13 + 21*i. Let z be y(-20). Suppose n = -2*n + z. What is the remainder when 5 is divided by n?
2
Suppose 2*b + 5*q = 5*b + 1784, 3*b + 1802 = -4*q. Let s = -524 - b. Suppose -4*k = -57 - 3. Calculate the remainder when s is divided by k.
14
Let b = -7998 + 8002. What is the remainder when 372 is divided by b?
0
Suppose u = 21*z - 1000, 12*z + 5*u = 17*z - 200. Let l(s) = s**2 + 4*s - 4. What is the remainder when z is divided by l(-9)?
7
What is the remainder when 974 is divided by (13651/33)/17 + 2/3?
24
Suppose 2*o + 8 = 24. Let s(n) = n**2 - o + 7 + 21*n + 3*n**2 - 5*n**2. Calculate the remainder when s(10) is divided by 28.
25
Suppose 3*a = 1183 - 439. Let v(g) = 8*g - 64. What is the remainder when a is divided by v(16)?
56
Let l(n) = 44*n**2 + n + 4. Suppose 2*b - 72 = 5*x, 4*b = 5*x - x + 156. What is the remainder when l(-2) is divided by b?
14
Suppose 0 = 216*h - 1000*h + 63504. Calculate the remainder when h is divided by 29 - (2 - 1)/1.
25
Let x = -12227 + 12251. What is the remainder when 2/(-2)*2*-17 is divided by x?
10
Suppose 43*m - 39181 = -172*m + 390389. Calculate the remainder when m is divided by 332.
6
Suppose 2*g - 3*w = g + 36, -4*g + 3*w + 135 = 0. Let l(k) = -8*k**2 + 6*k - 5. Let m be l(5). Let n = -79 - m. What is the remainder when n is divided by g?
30
Let t(m) = m**3 + 8*m**2 - 13*m - 59. Calculate the remainder when t(-5) is divided by (-105)/(-7) + (-6)/2.
9
Suppose 5*u - 21 = -2*z, -1 - 2 = 3*u - 4*z. Suppose 3609*c - 247 = -4*l + 3612*c, 253 = 4*l - c. What is the remainder when l is divided by u?
1
Suppose -4*h + 208 = 4*d, -5*h + 4*d + 82 = -196. What is the remainder when 1240 is divided by h?
52
Let c = 8861 - 8840. Calculate the remainder when 1132 is divided by c.
19
Let d(i) be the first derivative of i**4/4 - 4*i**3/3 + i**2 - 22. Let v = 21 + -16. Calculate the remainder when d(v) is divided by 9.
8
Let j(f) = f**3 + 18*f**2 - 11*f + 8. Suppose -4*w = 3*g + 62, 3*g = 6*w - w - 44. Let t be j(g). Let r = t - 81. What is the remainder when r is divided by 43?
39
Let x(k) = -k**2 + 4*k + 6. Let a be x(0). Let z(q) = q - 5*q + 5*q - a*q - 4. What is the remainder when 12 is divided by z(-1)?
0
Let b(x) = 106*x**2 + 2*x + 1. Let f be b(-1). Let k = -88 + f. Calculate the remainder when k is divided by (3 + -1)*(-21)/(-6).
3
Suppose 4*f - 3*y = 230, 0*f - 2*f + 122 = -5*y. Let x = -54 - -99. Suppose 1105 = -x*r + 50*r. Calculate the remainder when r is divided by f.
53
Let s(n) = -n**3 + 18*n**2 + 58*n - 326. What is the remainder when 124 is divided by s(20)?
22
Suppose 456 = 127*t - 986 - 336. What is the remainder when 46155 is divided by t?
11
Let b(c) = -2*c**2 + 18*c - 33. Let x be b(6). Let k = 9 - 7. Suppose -x*h - k*h + 90 = 0. Calculate the remainder when h is divided by 7.
4
Let b = 68 + -33. Suppose -20*f - 1566 = -14*f. Let j = 400 + f. What is the remainder when j is divided by b?
34
Let z be 2/6*-3 + 419. Suppose 0 = -2*j + 13*j - z. Calculate the remainder when 62 is divided by j.
24
Calculate the remainder when 1257 is divided by (-26)/377 + (-84259)/(-203).
12
Let u(w) = w**2 - 3*w - 11. Let r = 14 - 7. Suppose -2*h = -12 + 4. Calculate the remainder when u(r) is divided by h.
1
Suppose -31*j + 392 = 20. Calculate the remainder when 576 is divided by j.
0
Calculate the remainder when 556 is divided by (-43 + -2 + 14)*(-3 - -1).
60
Let u(w) = w - 208. Let b be u(-23). Let n = 236 + b. What is the remainder when 8 is divided by n?
3
Let c(w) = -w**3 + 61*w**2 - 69*w + 588. Calculate the remainder when 803 is divided by c(60).
35
What is the remainder when (-2 - (-3 - -6))*(-1136)/40 is divided by 69?
4
Let b(w) = -w**3 + 65*w**2 - 79*w - 820. What is the remainder when b(63) is divided by 42?
41
Let u be 58 - ((-2)/(-3) + 8/6). Let d = u - 52. Calculate the remainder when 61 is divided by 4/(d/21)*1.
19
Suppose -192*j + 190*j - 56 = 0. Suppose 0 = -o - 13 - 45. Let z = j - o. What is the remainder when 147 is divided by z?
27
Let o be -19 + 25 