*2 - 14*t - 52. Let d be k(13). Suppose -d*a - 123 = -107*a. What is the remainder when a is divided by 21?
20
Suppose 3*g + 5*p = -15, 0 = -7*g + 3*g - 5*p - 15. Suppose -3*h - 4*b + 3*b + 316 = g, -h + 5*b + 132 = 0. What is the remainder when h is divided by 22?
19
Suppose 3*a + 8227 = 4*c, -2*c - 5*a + 3659 = -448. Calculate the remainder when c is divided by 43.
35
What is the remainder when (-9 + 78/(-12) - -15)*5136/(-1) is divided by 34?
18
Let q(s) = -438*s - 1156. What is the remainder when q(-4) is divided by 118?
6
Let v be 6/(-8)*2*(-5 - -15). What is the remainder when ((-61)/(-3))/((-5)/v) is divided by -2*(-2)/(-3)*-12?
13
Let i(d) = 774*d - 15. Calculate the remainder when i(2) is divided by 154.
147
Suppose 4*k = -5*c + 460, 0 = 3*c - 4*c + 5*k + 121. Suppose 3*x - 18 - c = 0. Calculate the remainder when x is divided by (5 + (0 - 4))/((-11)/(-143)).
12
Suppose -5*q - 2 = -12. Suppose -2*l + q*g - 7 = 5, 3*l + 4*g = -18. Calculate the remainder when 219 is divided by (428/12 - (-4)/l) + 2.
34
Suppose 3*r - 30 = -2*r. Let v = -2504 + 2527. Calculate the remainder when v is divided by r.
5
What is the remainder when 171 is divided by -398 + 499 - 4*1?
74
Let k(x) = -3*x**3 + 9*x**2 + 21*x - 6. Let m be k(-6). Let o = -829 + m. Calculate the remainder when -1 - (-1 + (-27)/1) is divided by o.
5
Suppose -77*j - 130*j = -46*j - 8211. What is the remainder when 51 is divided by j?
0
Let n be (-54)/(-12)*(-32)/6. Let p(k) = 10*k + 75. Let t be p(n). Let m = -126 - t. What is the remainder when 154 is divided by m?
37
Suppose -w + 518 = 3*c, 511*w = 515*w - 3*c - 2072. What is the remainder when 1162 is divided by w?
126
Let p(u) = -161*u + 23364. Let d(t) = 59*t + 3. Let s be d(3). Suppose -r + 85 = -4*y, -r + 3*y = r - s. Calculate the remainder when r is divided by p(145).
17
Suppose -13*l = 3*l - 736. Suppose 5 + 177 = 7*j. Calculate the remainder when l is divided by j.
20
Let h(z) = -34*z + 4. Let v(q) = q**3 - 20*q**2 + 18*q + 18. Let n be v(19). What is the remainder when 68 is divided by h(n)?
30
Suppose 10*q - 1270 + 2239 - 5179 = 0. Calculate the remainder when q is divided by 98.
29
What is the remainder when 575*(-55 - -57)*2/10 is divided by 38?
2
Suppose 35*r = 10*r - 27*r - 3068. Let c(u) = -u**3 - 8*u**2 - 5*u + 4. Let t be c(-6). Let l = t - r. Calculate the remainder when 81 is divided by l.
18
Suppose 55 = -2*w + 3*w. Suppose -2*a = 2*a - 84. What is the remainder when w is divided by a?
13
Suppose -6*w + 142 + 326 = 0. Suppose 132*l - 134*l = -20. What is the remainder when w is divided by l?
8
Suppose -3*y = -2*k + 2*y + 20, -k = 3*y - 10. Let f = -89 + 48. Let n = -6 - f. Calculate the remainder when n is divided by k.
5
Let m = -13051 + 13071. Calculate the remainder when 2875 is divided by m.
15
Suppose -96 = 31*u - 34*u + 2*c, 2*u = c + 66. Calculate the remainder when 3164 is divided by u.
32
Suppose 0 = 5*c - 5*r - 1210, r + 983 = -173*c + 177*c. What is the remainder when c is divided by ((-3)/(-2))/((-6)/(-256))?
55
What is the remainder when (1 - 150/9)/(5*(-11)/165) is divided by -1 - -3 - 4 - -18?
15
Let o = 1 - -2. Let d be 0 + (-456)/(-21) + 6/21. Suppose o*n = -j + 11 - 0, d = n + 4*j. Calculate the remainder when 13 is divided by n.
1
Calculate the remainder when 1522 is divided by 70/(-45)*(-72)/4.
10
Suppose 0 = -14*z + 26*z + 2616. Let x = -104 - z. Calculate the remainder when x is divided by 23.
22
Suppose -87210 - 201905 = -530*m + 73405. What is the remainder when m is divided by 79?
52
Suppose -13*j - 3240 = -4*d - 15*j, 0 = 3*j + 6. Let u = -578 + d. What is the remainder when u is divided by 39?
38
Suppose 32*m - 177425 = -74575 + 346558. Calculate the remainder when m is divided by 53.
52
Suppose 12*f = -15*f + 81. Suppose 8 = -f*g + 5*w + 120, 155 = 5*g - 2*w. Calculate the remainder when g is divided by 5.
4
Let f be (-6)/16 + (-2220)/(-32). Suppose -3*t = -72 - f. Calculate the remainder when t is divided by 17.
13
Suppose 30*f = 27*f + 1263. Suppose -1413 = -16*k - f. Calculate the remainder when k is divided by 49.
13
Let c be 5*(-2)/5*41. Let j = c - -84. Let k = -4 - -6. Calculate the remainder when k is divided by j.
0
Let y(f) = -22*f**2 + 61*f - 13. Let j(z) = 11*z**2 - 30*z + 6. Let h(x) = 9*j(x) + 4*y(x). What is the remainder when h(3) is divided by 6?
5
Let v(k) = 150*k - 440. Calculate the remainder when 406 is divided by v(3).
6
Let n(w) = 21*w - 11. Let h be n(-8). Let l = h - -346. What is the remainder when l is divided by 21?
20
Suppose -h + 5*i + 2758 = 535, 5*i - 6769 = -3*h. What is the remainder when h is divided by 749?
1
Let i = 4379 - 4091. What is the remainder when i is divided by 255?
33
Let t(i) = i**2 + 23*i - 9. Let g be t(-16). Let j = g + 172. What is the remainder when 146 is divided by j?
44
Let l(p) be the third derivative of -p**6/120 - p**5/2 + 7*p**4/6 - 31*p**3/6 + 36*p**2. Calculate the remainder when 243 is divided by l(-31).
57
Let k(g) = -8*g**3 + 15*g**2 + 52*g + 6. Calculate the remainder when 2253 is divided by k(-5).
11
Let d(h) = -h**3 - 41*h**2 - 81*h + 24. Calculate the remainder when 834 is divided by d(-39).
129
Let b = -20483 + 22369. Calculate the remainder when b is divided by 368.
46
Let k(h) = h**3 - 54*h**2 + 647*h + 86. Suppose b - 435 = -2*b. What is the remainder when b is divided by k(36)?
45
Let t(f) = 3*f + 32 - 9 - f - 3*f. Let y(b) = -5*b + 22. Let l be y(3). Calculate the remainder when 25 is divided by t(l).
9
Suppose -2*a + 312 = 4*r, 7*a - 4*r = 2*a + 794. Suppose -3*v + 3*q = -90, 5*v + 3*q = -0*v + a. Let z = 12 + -4. What is the remainder when v is divided by z?
7
Let l(d) = -6*d - 18. Let c be l(-12). Suppose -c*f + 25 = -53*f. What is the remainder when f is divided by (-13)/2*2/(-1)?
12
Let j(w) = 53*w**2 + 3*w - 2. Let z = -594 - -627. Calculate the remainder when j(1) is divided by z.
21
Suppose 0 = -5*l + 266 - 26. Let i = -72 - -72. Suppose 3*n - 5*f - 41 = i, f + 0*f = n - 15. Calculate the remainder when l is divided by n.
14
Let v = 90 + -80. Suppose -228 = -58*h + 2150. What is the remainder when h is divided by v?
1
Suppose j - 16 = 3*b - 56, 3*j = -3*b + 60. Let t = 13 - 393. Let s = 446 + t. What is the remainder when s is divided by b?
6
Suppose 27*h - 2520 = -1656. Calculate the remainder when 1468 is divided by h.
28
Let w(u) = -u**2 + 8*u + 4. Calculate the remainder when 12 - (-7 + (-11 - -4)) is divided by w(8).
2
Suppose -2*i + 39 = 3*t - 49, -i - 2*t + 46 = 0. What is the remainder when i is divided by ((-1288)/112)/(1/(-2) - 0)?
15
Let t = 7841 + -7452. What is the remainder when t is divided by 26?
25
Let q(u) = -413*u**3 + u + 1. Let f be q(-1). Suppose 3*p - 379 - f = 0. Calculate the remainder when p is divided by 53.
52
Suppose 8*k + 33 = -407. Let q = 45 - k. What is the remainder when q is divided by 34?
32
Suppose -37 + 14 = -l. Let x = -9613 - -9672. What is the remainder when x is divided by l?
13
Suppose 5*b = -v + 77, 3*v - 517*b + 512*b = 151. Calculate the remainder when 216 is divided by v.
45
Suppose -95*d - 5*h + 145 = -90*d, -2*h - 82 = -3*d. What is the remainder when d is divided by 6?
4
Let f(n) = -n**2 + 300*n - 11126. What is the remainder when 2759 is divided by f(44)?
137
Let a = 208 + -337. Let s = a - -162. Calculate the remainder when s is divided by 9.
6
Suppose -32*a - 27*a = -9*a - 6150. Suppose 0 = -5*n + 108 - 8. Suppose n + 22 = 2*x. What is the remainder when a is divided by x?
18
Suppose 61 - 228 = -3*t + 5*w, t = -w + 53. Suppose 12*d - t = 1830. Calculate the remainder when d is divided by 7.
3
Let t(l) = -l**3 + 6*l**2 + 93*l - 421. What is the remainder when t(9) is divided by ((-6)/4)/((-1)/30)?
38
Let n(a) = -a**3 + 7*a**2 + 31*a - 168. Calculate the remainder when n(6) is divided by 24.
6
Let p(y) be the second derivative of y**3/6 + 9*y**2/2 + 6*y. What is the remainder when 20 is divided by p(3)?
8
Let c(j) = -15*j**3 + 8*j**2 + 11*j + 16. Let b be c(-5). Suppose 0 = -2*h - 9 + 1, -5*f + 4*h = -b. What is the remainder when f is divided by 81?
80
Let q be 13/52*(1 - (0 - 19)). Suppose q*c + 122 = 492. Calculate the remainder when c is divided by 15.
14
Let x = -238 + 173. Let f = -33 - x. Calculate the remainder when f is divided by 17.
15
