9
Let l = -4065 - -4964. Calculate the remainder when l is divided by 22.
19
Let y(k) be the second derivative of 0 + 2/3*k**4 - 19*k + 1/20*k**5 + 7/6*k**3 + 7/2*k**2. Calculate the remainder when 183 is divided by y(-6).
35
Suppose -35*n + 1535 + 4555 = 0. What is the remainder when n is divided by 25?
24
Suppose -5*k + k = -136. Let q = k - 37. What is the remainder when 75 is divided by (q/3 - 0) + 12?
9
Let c be 2/5 + 321/(-15). Let u = 23 + c. Suppose -2*h + 46 = u*p, 0*p - 107 = -5*h - 3*p. What is the remainder when h is divided by 11?
8
Let u = 3727 + -3082. Calculate the remainder when u is divided by 195.
60
Suppose -227 = -3*i + 2*f - 220, -4*f - 8 = 0. Suppose 3*a - 4*a + 9 = 0. Calculate the remainder when 31 is divided by (-31 - i)*(18/(-4))/a.
15
Suppose 0 = -b + 8 + 19. What is the remainder when (230/(19 + -9))/1 is divided by 1/(-2) + b/2?
10
Let x = -52 - -57. Suppose -267 = x*m - 697. Let b = 33 + -18. What is the remainder when m is divided by b?
11
Let w = 180 + 423. Calculate the remainder when w is divided by ((-44)/176)/(1/84*-1).
15
Let q(i) = -14*i**3 + 5*i**2 + 3*i - 8. Let s be q(-2). Suppose -6*k + 436 - s = 0. Calculate the remainder when k is divided by 19.
15
Suppose -228*t - 14469 = -241*t. What is the remainder when t is divided by 19?
11
Let c(z) = -2*z**3 - 140*z**2 - 11*z + 41. What is the remainder when c(-70) is divided by 194?
35
Suppose 3 = -3*h, -10*r + 1595 = -6*r + h. What is the remainder when r is divided by 50?
49
Let b be (34/4)/(1/2). Let c(l) = -2 - 16*l**3 + b*l**3 + 8*l + 5 - 10*l**2 + 10*l. Calculate the remainder when 168 is divided by c(8).
16
Let t = 8 + -1. Suppose -2*r + t*r = 4*h - 41, 0 = 5*h + 2*r - 10. Suppose 5*o - h*o - 6 = 0. What is the remainder when 8 is divided by o?
2
Suppose -2*k + 4*p - 4 = 0, 4*p = -3*k - 1 - 55. Let g be (k - -14)/(2/(-19)). Let d = 3 - g. What is the remainder when d is divided by 4?
2
Suppose 0 = 26*h - 31*h + 20. Suppose 5*d + 2*w - 19 = 0, 4*d + w - 4 = 10. What is the remainder when h/(-12)*(9 - 30) is divided by d?
1
Suppose 6*v + 116 = 2*q, -145 = 5*v - 150. Calculate the remainder when 312 is divided by q.
7
Suppose 60 = -208*l + 214*l. Let g = 101 + -70. Suppose t = 2*j + g, 3*t = 2*j - 4*j + 109. Calculate the remainder when t is divided by l.
5
Suppose -2*j - 3*j = 2*q - 33, 2*j = 3*q - 2. Suppose m + 96 = q*w + 3*m, 0 = -3*m. Suppose 2 - 38 = -4*t. What is the remainder when w is divided by t?
6
Let t = 504 + -493. Suppose t*z - 70 = -4*w + 13*z, 4*z = -4*w + 40. What is the remainder when 40 is divided by w?
10
Suppose 557*g - 603*g = -276. Calculate the remainder when 2548 is divided by g.
4
Let w = 22 - 18. Calculate the remainder when 91 is divided by (-15)/(9 - w) - -49.
45
Let q(d) = -5*d**2 + 258*d - 39. What is the remainder when q(51) is divided by 45?
24
Let x = 744 + -1302. Let j = x + 601. What is the remainder when 165 is divided by j?
36
Let k(u) = -29*u**2 - 28*u + 56. Let z(s) = 63*s**2 + 55*s - 113. Let m(w) = 13*k(w) + 6*z(w). Calculate the remainder when 646 is divided by m(34).
46
Let v(i) = 244*i - 170. What is the remainder when 270 is divided by v(1)?
48
Suppose 4*x = w - 502 + 1154, -w - 4 = 0. What is the remainder when 22030 is divided by x?
160
Let a = -118 - -120. Let o(d) = -3*d + 3. Let i be o(a). Calculate the remainder when 20 is divided by i - 1 - (-3 + -12).
9
Let v = -227 - -153. Let i = 1384 + -1300. Let q = i + v. What is the remainder when 68 is divided by q?
8
Calculate the remainder when (-7 + 3/(-20)*-85)*24 is divided by 70.
68
Let x = -38138 + 41487. Calculate the remainder when x is divided by 259.
241
What is the remainder when ((-10736)/(-3) - (-9)/27)*(-40)/(-24) is divided by 27?
25
Let q = 293 + -253. Suppose 1499 = q*y - 181. Calculate the remainder when y is divided by 2.
0
Suppose -4*y + 0*y = 2*o - 126, 0 = -4*y. Let k be 5*1*24/(-10). Calculate the remainder when o is divided by (-32)/k*4*(-9)/(-6).
15
Suppose -3*d = -7*f + 9*f - 1554, 0 = 3*d - 4*f - 1500. Calculate the remainder when d is divided by 100.
12
Suppose -73*r + 330*r + 432578 - 3151381 = 0. What is the remainder when r is divided by 20?
19
Let g be 318*((-9)/(-30))/(8/40). Let d = g - 469. Suppose -3*c + 59 = -5*v, 0 = c - 5*v + 2*v - 13. What is the remainder when c is divided by d?
4
Let t(n) = -n**3 + 6*n**2 - 6*n. Let f be t(5). Suppose -2*v + 32 = -3*a, -38 = -2*v - 3*a + 6. Calculate the remainder when f/5 - (1 - 96) is divided by v.
18
Let o(z) = -4*z**2 - 443*z - 823. Calculate the remainder when o(-108) is divided by 80.
45
Let h(o) = -2*o**2 + 8*o - 10. Let y be h(6). Let v = 28 + y. Let q(w) = w**3 + 6*w**2 - 2*w - 4. Calculate the remainder when q(v) is divided by 3.
2
Suppose 26*n - 21*n - 21 = -4*i, -5*i + 15 = -5*n. Let o = -75 + 107. Calculate the remainder when o is divided by i.
0
Suppose -6*r - 4808 = -9*r - 5*m, 0 = -5*m - 40. Calculate the remainder when r is divided by 521.
53
Let r(w) = -w**3 - 5*w**2 - 8*w + 12. Calculate the remainder when r(-7) is divided by 100.
66
Let q = -14 + 20. Suppose 2*i - q*i + 72 = 0. What is the remainder when i is divided by (-55)/(-2)*46/115?
7
Let d = 61 - 41. Suppose 312 = 54*y + 54*y - 104*y. What is the remainder when y is divided by d?
18
Suppose 5*x - 131 = -5*n + 609, -3*n + 6 = 0. What is the remainder when x is divided by (40/120)/((-118)/60 - -2)?
6
Suppose -5*n + 2*k = -1244, 2*n - 130*k + 129*k - 497 = 0. What is the remainder when n is divided by 127?
123
Suppose 2*r - 4*f = 64, -5*r - 5*f + 13 = -12. Calculate the remainder when 32407 is divided by r.
11
Let w be (-4)/(21/6 - 4). What is the remainder when 326 is divided by 5/60*w*153?
20
Let m(y) = 3*y + 9. Suppose 0 = -1262*o + 1173*o + 21805. What is the remainder when o is divided by m(10)?
11
Let o = 3642 - 3624. What is the remainder when 546 is divided by o?
6
Let t = 241 - 193. Suppose -5*v - 4 = 2*g, g = -4*g + 2*v + t. What is the remainder when 14 is divided by g?
6
Suppose 36*a - 9*a - 3348 = 0. Calculate the remainder when (-6)/(-5)*(-5)/(-4)*a is divided by 29*1 + (-6)/3.
24
Suppose -5*r + 4*r + 22 = 5*z, -2*r + 4 = 0. Suppose -83 = -z*m - p, m - p = -m + 43. Let t = 79442 - 79413. What is the remainder when t is divided by m?
8
Suppose -3*i = -4*n - 5636, 46*i - 50*i + 7518 = -2*n. Calculate the remainder when i is divided by 104.
8
Let y(w) = -2*w**2 + 7*w + 22. Let p(h) = -4*h**2 + 13*h + 46. Let g(b) = -6*p(b) + 13*y(b). Let n = 24 + -8. Calculate the remainder when g(5) is divided by n.
9
Let m be 1792/294 + 4/42*-1. Let q(z) = -z**3 + 12*z**2 - 32*z + 3. Calculate the remainder when 403 is divided by q(m).
25
Suppose 250*d - 133*d = 147*d - 2040. Calculate the remainder when 2310 is divided by d.
66
Suppose -5*h + 240 = 4*t - 892, -1104 = -4*t + 2*h. Let f = -231 + t. Calculate the remainder when 52 is divided by f.
5
Let l(h) = 4*h**3 - 5*h**2 - 5 - 11 - 3*h**3 - h + 3*h**2. Calculate the remainder when 21 is divided by l(4).
9
Let q = -958 - -980. What is the remainder when 1446 is divided by q?
16
Let t(a) = 25*a - 125. Let j be t(5). Suppose 3*b + 4*h - 75 = j, -8*b = -3*b + 4*h - 125. Calculate the remainder when b is divided by 9.
7
Suppose 0 = -19*m + 13*m + 54. Suppose -c + 34 = m. What is the remainder when 88 is divided by c?
13
Suppose q - 37 = -3*x, 0 = -21*q + 22*q - x - 57. Calculate the remainder when 55 is divided by q.
3
Suppose 4*r + 7 = -25. Suppose 0 = m + 2*m - 2*s + 36, s = -3*m - 27. Calculate the remainder when r/20 - 1214/m is divided by 25.
21
Suppose 3 + 21 = -2*p. Let m(w) = -77*w - 27. Let j(o) = 92*o + 28. Let u(h) = 5*j(h) + 6*m(h). What is the remainder when 10 is divided by u(p)?
0
Suppose -5*y = 18 - 28. Let t be ((-45)/(-6))/(1/y). Suppose p + t = -5*c, -3*p + 4 + 3 = 2*c. What is the remainder when p is divided by 4?
1
Let g(o) = 14*o + 8. Let j be g(0). Calculate the remainder when (0 + 2/4)*148 is divided by (-2 + (-2 - -2))/(j/(-76)).
17
Suppose m - 10 = 3*m - 4*a, 5*m - 73 = -4*a. Let p(v) = -9*v - 7. Let c(j) = 5*j. Let b be c(-1). Calculate the remainder when p(b) is divided by m.
2
Suppose 20*u - 8*u = 48. Suppose u*h = -2*h + 72. What is the remainder when 79 is divided by h?
7
Let g(b) = -343*b + 8591. Calculate the remainder when 447 i