73. Calculate the remainder when f is divided by 16.
15
Suppose -5*u + 153 = 12*u. Let j(d) = -4*d + 58. Let a = 4 - -39. What is the remainder when a is divided by j(u)?
21
Let r(j) = -2*j + 3. Suppose 42*a - 39*a - 339 = 3*x, 2*a + 2*x - 202 = 0. What is the remainder when a is divided by r(-10)?
15
Let q(r) = -435*r - 524. What is the remainder when 1222 is divided by q(-4)?
6
Suppose 2*a + 309 = 313. Let r = -45 - -137. Suppose -a*n + r = -0*n. What is the remainder when n is divided by 16?
14
Let n(w) = 2 + 6 - 4 - 3. Let y(u) = -7*u + 7. Let a(f) = 5*n(f) - y(f). What is the remainder when a(5) is divided by 9?
6
Let a be (0 - (-1)/2)*2. Let f(p) = 21*p**2 - 47098 + 23550 + 23546. Calculate the remainder when 55 is divided by f(a).
17
Let p be (1 + 189)/(0 + (-1)/(-1)). Let h = p + -71. What is the remainder when h is divided by 24?
23
Let u = 107 - 115. Let v = 51 - u. Calculate the remainder when v is divided by 5.
4
Let r be (-6)/(-18)*(-2 - -299). Suppose 0 = -9*j - 0*j + r. Calculate the remainder when 21 is divided by j.
10
Suppose 3*a - 6*x = -8*x + 30, -x + 43 = 5*a. What is the remainder when 1198 is divided by a?
6
Let y(s) = 4*s**2 - 6*s + 12. Let b be y(-3). Suppose 2*q + l = -q + b, q + 2*l = 17. Calculate the remainder when 40 is divided by q.
17
Let f = -32 - -46. Let l = f + -7. Suppose 37*h - 38*h = -l. Calculate the remainder when 18 is divided by h.
4
Suppose -9*z - 4*z = -156. Let t(s) = s - 7. Let c be t(z). Suppose -5*i + 0*h = -2*h - 299, c*i + 3*h - 314 = 0. What is the remainder when i is divided by 32?
29
Let v be (5 - 0)*(-38)/(-10). Suppose d - 2*d + p = -v, 3*d = 5*p + 63. Suppose -1549 - 398 = -33*z. Calculate the remainder when z is divided by d.
11
Let a = -2825 - -2861. Calculate the remainder when 341 is divided by a.
17
Suppose 3*t - 12 = -11*z + 12*z, 2*t + 5*z = 8. Suppose t*m = 194 - 66. What is the remainder when 159 is divided by m?
31
Suppose 36*k - 1200 - 1584 = -60*k. What is the remainder when 1622 is divided by k?
27
Let a be 5*12/(-2 - 2). Suppose 74 + 10 = 4*y. What is the remainder when 1220/a*(-3)/4 is divided by y?
19
Let t(j) = 3*j**3 + 5*j**2 + 23*j - 83. Calculate the remainder when t(4) is divided by 32.
25
Let d = 1081 - 1014. Calculate the remainder when 661 is divided by d.
58
Let h = 107 + -66. Let p(w) = -623*w + 12123. Calculate the remainder when p(19) is divided by h.
40
Let b = -35 - -74. Suppose -b = 4*h - 47. Suppose -2*g + 536 = h*g. Calculate the remainder when g is divided by 27.
26
Suppose 0 = 3*y + 10 - 331. Let c = -63 + 31. Let n = -10 - c. Calculate the remainder when y is divided by n.
19
Calculate the remainder when 1 - 41799/(-9) - ((-132)/18)/11 is divided by 186.
182
Suppose -5*c - l + 14868 = 0, -3*c + l = -8419 - 505. Calculate the remainder when c is divided by 96.
94
Let c(g) = g**2 - 14*g + 3. Suppose 0 = 5*k + 4*p - 7, -k - 5*p - 40 = -12. What is the remainder when k is divided by c(14)?
1
Let q = 13 - -15. Let u(f) = -3 + 43*f - 5 - 1 + 48*f. Calculate the remainder when u(1) is divided by q.
26
Suppose -73*l + 4362 = -67*l. Suppose 4*o = -2*y + 736, 2*y = -54*o + 53*o + l. Calculate the remainder when y is divided by 5.
2
Let p(m) = -m**2 + 141*m - 770. Calculate the remainder when 16198 is divided by p(6).
38
Let b(a) = -8*a - 288. Let w be b(-33). What is the remainder when w/42 + 3840/56 is divided by 3?
2
Let s = -4993 + 7610. What is the remainder when s is divided by 14?
13
What is the remainder when (0 + 7)*16/(-10 + 11) is divided by (-2)/(4 - (-158)/(-39))?
34
Suppose 0 = -2*v - u + 11, -29*u - 29 = 3*v - 34*u. Calculate the remainder when 130 is divided by v.
0
Let f(i) = 4*i**2 + 39*i + 197. Calculate the remainder when 1533 is divided by f(-12).
8
Suppose -n + 58 = n. Calculate the remainder when n is divided by (-20104)/(-5026)*(4/2 - 1).
1
Let d(u) = -u**3 - 25*u**2 - u + 27. Let x be d(-25). Let t = 56 - x. Calculate the remainder when 1/((-3)/(-4)*t/384) is divided by 13.
11
Let h(y) = y**3 + 11*y**2 - 38*y - 199. Calculate the remainder when 1467 is divided by h(-6).
4
What is the remainder when 481 is divided by (-2)/34 + 100947/1173?
51
Suppose -8 = -5*f - 8. Suppose 15*x - 10*x - 505 = f. Suppose -3*s + 3*q = -111, -161 = -5*s + 3*q - 6*q. Calculate the remainder when x is divided by s.
33
Suppose -292*z - 90 = -295*z + 3*h, -112 = -4*z + 3*h. What is the remainder when 315 is divided by z?
7
Suppose 0 = 28*m - 13*m - 75. Suppose 0 = -5*h + p - 71, -5*p + 0*p - 65 = 3*h. What is the remainder when h/m - (-124 + 3) is divided by 41?
36
Suppose -52*g - 73*g = -566 - 1309. What is the remainder when 4353 is divided by g?
3
Suppose -49 = -13*r + 107. Suppose 0 = r*m - 358 - 158. What is the remainder when 82 is divided by m?
39
Let k = 3493 + -3477. Calculate the remainder when 137 is divided by k.
9
Suppose -2*b + 3*c = -1261, 0 = -64*b + 66*b + 4*c - 1254. What is the remainder when b is divided by 80?
69
Suppose 2*y - 28 = 2*c, y - 5*y = c - 41. Let t(g) = 35 - 8*g - 578*g**3 - 4*g + 577*g**3 + 10*g**2. Calculate the remainder when y is divided by t(9).
3
Let h(w) = -w**3 + 3*w**2 + 14*w + 23. Let o be h(6). Suppose 0 = 4*i - 28 - 72. Calculate the remainder when (330 + o)*(-6)/(-21) + 4 is divided by i.
23
Let h(q) = 157*q - 1213. Calculate the remainder when 929 is divided by h(8).
26
Let k = -5773 - -5782. Calculate the remainder when 3077 is divided by k.
8
Let v(n) = -19*n + 868. Let f be v(39). Suppose -g = -3*w - 193, -2*g + 5*w + 198 = -189. Let x = g - f. What is the remainder when x is divided by 14?
13
Let f(o) be the first derivative of -31*o**2 + 60*o + 145. What is the remainder when f(-4) is divided by 100?
8
Suppose -2*y = 13*y + 840. Let m = y + 60. Suppose -22 = -m*f + 126. Calculate the remainder when f is divided by 19.
18
Let v be 80 + (-5)/(4 + 1). Suppose 2*c - c = 3*l - v, -2*l + 60 = 3*c. Let f = 20 + l. Calculate the remainder when f is divided by 16.
15
Suppose -4*v = 2*o - 130, 29*o - 30*o - 4*v = -61. Calculate the remainder when 3169 is divided by o.
64
Calculate the remainder when 18/(-4) + 29079/162 is divided by 38.
23
Let x = 863 - 307. Suppose 4*o = x - 92. Let k = o + -112. Calculate the remainder when 4 is divided by k.
0
What is the remainder when 309 is divided by 21/35 + (-8 - (-3663)/45)?
13
Let a = -1538 + 1646. What is the remainder when 402 is divided by a?
78
Suppose 0 = -52*v + 56*v - 752. Let q = v - 78. Suppose -23 = 3*x - q. What is the remainder when 57 is divided by x?
28
Let a(o) = o**3 - o**2 - 14*o + 10. Let u be a(4). Suppose -u*p + 0 = -20. Let j = 14 + 53. What is the remainder when j is divided by p?
7
Suppose -3*v + 230 = 2*v + w, -138 = -3*v + 2*w. Suppose -281 - 179 = -2*p. Let b = p + -205. What is the remainder when v is divided by b?
21
Let t be (2 - (-9)/(-6))*-90. Let y = -34 - t. What is the remainder when 35 - (15 + 5)/(-5) is divided by y?
6
Let m(n) = 2*n - 18. Let o be m(12). Suppose -o*a = -476 + 110. What is the remainder when a is divided by 16?
13
What is the remainder when 4/18 - 385/(-9) is divided by (-29)/(10/(-10)) + -6?
20
Suppose 5*n - 108 = -2*s, 5*s - 92 = 3*s + 3*n. Suppose -2*a = -347*c + 342*c + 39, 5*a + 3*c - 42 = 0. What is the remainder when s is divided by a?
1
Let s = 1618 + -1299. What is the remainder when s is divided by 54?
49
Suppose 5*o - 28 + 3 = 0. Let d(l) = 68*l. Let r be d(1). Let g = 76 - r. What is the remainder when g is divided by o?
3
Let t = -32077 - -34555. Calculate the remainder when t is divided by 206.
6
Let y(r) = r**3 + 48*r**2 - 27*r + 82. What is the remainder when y(-47) is divided by 41?
34
Let x = 104 - 97. Let k(p) = x - 15*p**2 + 2*p + 6*p**2 + 13*p**2. Calculate the remainder when 56 is divided by k(-2).
18
Let n be 2615/(-25)*-3 + (-2)/(-10). Let k = 339 - n. What is the remainder when 120 is divided by k?
20
Suppose -14*b = -825 - 883. Let p = -6 - -31. What is the remainder when b is divided by p?
22
Suppose -7 = -5*t + 53. Suppose 9*h - t - 24 = 0. Suppose h*s = -s + 135. What is the remainder when 161 is divided by s?
26
Let s = -2870 + 2951. Suppose 4*n + w = 6*n - 1458, 3*n - w - 2186 = 0. Calculate the remainder when n is divided by s.
80
Let o = 3296 - 3242. What is the remainder when 239 is divid