Calculate the remainder when (4 - -46) + (-4 - -2) is divided by a(d).
12
Suppose 0*c + 5*c = -3*u + 367, -4*c = -3*u + 349. Let h = -42000 + 42041. What is the remainder when u is divided by h?
37
Let z(o) = -6*o**2 - 13*o + 7. Let w(a) = a**2 - a + 1. Let l(t) = -5*w(t) - z(t). What is the remainder when 455 is divided by l(-22)?
75
Let j(c) = -c**2 + 105*c - 1700. Calculate the remainder when j(77) is divided by 73.
18
Let m(g) = 491*g - 51. Let d be m(5). What is the remainder when d/36 - 10/(-45) is divided by (70/8)/(-5)*-8?
11
Suppose 16*r = -5*n + 12*r + 710, 4*r = 20. Calculate the remainder when 393 is divided by n.
117
Suppose 21 = 5*j - 2*b, 3*b = -5*j + j + 26. Suppose j*z = -4*n + z + 52, 5*n - 25 = 3*z. Let k = 906 + -892. Calculate the remainder when k is divided by n.
6
Suppose -b = y - 77, 3*y + b - 225 = 4*b. Let f = 144 - 119. Let q = f + y. What is the remainder when q is divided by 13?
10
Let y = 126 - 180. Let q = y + 58. Suppose -6*n - 3*k = -4*n, 0 = -k - q. Calculate the remainder when 8 is divided by n.
2
Suppose k + 2*k - 20 = -5*y, -k = -2*y - 3. Let d(f) = 3*f - 1. Let n(x) = -x**2 + 17*x - 33. Calculate the remainder when n(12) is divided by d(k).
13
Let x(n) = -5*n + 10. Let o(p) = -1. Let g(b) = -6*o(b) - x(b). Let w be g(10). Let a = 65 - w. What is the remainder when 207 is divided by a?
17
Suppose -165*p = -98*p - 48575. What is the remainder when 734 is divided by p?
9
Let b(y) = 3*y**3 + 1. Calculate the remainder when 14374 is divided by b(2).
24
Suppose l + f = -0*l + 6, 2 = f. Suppose 20 = -4*w, l*z - 194 = -w - w. What is the remainder when z is divided by 6?
3
Let u(p) = -p**2 - 23*p - 49. Let t be u(-13). Suppose -3*j + 2*z + 110 = 0, -3*j - 4*z + t + 41 = 0. What is the remainder when j is divided by 7?
3
Let x = 818 + -662. Suppose -166*c + x*c = -820. What is the remainder when c is divided by 21?
19
Suppose 9*o - 8*o = 4*m + 467, 0 = -4*m + 5*o - 463. What is the remainder when 228 is divided by -14*2/6*m/26?
18
Let u = 2518 - 2341. What is the remainder when u is divided by 104?
73
Let q(b) = 12*b**2 + b. Let l be (-5 + -2)*-56 + 9 + -5. Let v = -146 + l. Calculate the remainder when v is divided by q(-1).
8
What is the remainder when (-41 - -40)*(1 - (-4)/(-6))*-2811 is divided by 49?
6
Suppose 0 = 34*r - 30*r - 5*h - 27, -3 = -3*h. What is the remainder when 3659 is divided by r?
3
Suppose 0 = -35*w + 27097 + 12278. Calculate the remainder when 89 is divided by 55*(425/w - 4/(-18)).
23
Suppose 19 + 47 = q. Calculate the remainder when q is divided by ((-20)/(-8))/(1 - 29/34).
15
Suppose -115*i - 172 = -117*i. Suppose 0 = 3*s - 5*g - i, 24*s - 28*s - 5*g = -68. Calculate the remainder when 168 is divided by s.
14
Let l(v) = -516*v + 33. Calculate the remainder when l(-3) is divided by 156.
21
Let m = -2430 - -2494. What is the remainder when m is divided by 5?
4
Let f be 5/(-1) + (-13 - -10 - -7). What is the remainder when 1/(f/(-268)*2) - 3 is divided by 35?
26
Let i be (0 - 0)*1/(-2). Suppose 0 = -2*n - 3*h + 7, -n + 21 = -i*n + 5*h. Calculate the remainder when 99 is divided by 2/n - 492/(-24).
19
Suppose 4675 = 78*p + 109*p. What is the remainder when 116 is divided by p?
16
Let h(a) = a**3 + 3*a**2 - 4*a + 9. Let c be h(6). Suppose c*r - 304*r - 385 = 0. Calculate the remainder when r is divided by 28.
21
Suppose -5*h + i = -210, -3*h - h = 2*i - 154. Suppose 2*a - h = -5. Let r(w) = w**3 + 10*w**2 + 17*w. What is the remainder when r(-7) is divided by a?
10
Let p(v) = -396*v + 590. Let a be p(7). What is the remainder when (-11*6/(-66))/((-2)/a) is divided by 52?
51
Suppose -10184 = -18*y - y. Suppose -356*c + 352*c = -y. What is the remainder when c is divided by 4?
2
Let c(f) = f**3 - f**2 - 8*f + 4. Let m be c(4). Suppose 10 = -5*w, 2*l + 0*w - m = w. What is the remainder when 195 is divided by l?
6
Let j(z) = -684*z + 3783. What is the remainder when j(5) is divided by 66?
33
Let g(k) = -k**3 + 6*k**2 + k + 4. Calculate the remainder when (-161792)/(-1896) + (-2)/6 is divided by g(6).
5
Let j = -68 - -83. Suppose -6 = -3*i + j. Suppose -s + 3*d = -8 - i, 5*s - 61 = d. Calculate the remainder when 41 is divided by s.
5
Let f be 2/6*(-12 + -810). Let t = 479 + f. Calculate the remainder when t is divided by 23.
21
Suppose 3*t + 3*w - 1320 = 0, 3*t + 2*w - 991 = 325. Let d = t + -234. What is the remainder when d is divided by 21?
13
Suppose k = 6*k - 35. Suppose v - k = -0. Suppose -t - 3 = 0, 0 = -5*y + 2*t - 51 + 72. Calculate the remainder when v is divided by y.
1
Suppose 2*h + 6*k - 10*k = 26, 5*h - 4*k = 71. Suppose 0 = g + 3*g - 36. Calculate the remainder when h is divided by g.
6
Suppose 0 = -5*a + t + 14935, -a + 2963 = -11*t + 6*t. What is the remainder when a is divided by 992?
12
Let o(q) = -147*q + 1191. Let y(h) = -5*h - 6. What is the remainder when y(-6) is divided by o(8)?
9
Suppose -2*i - 2*s + 38 = 0, 4*i = 541*s - 538*s + 48. What is the remainder when 308 is divided by i?
8
Let s = -1521 + 1673. What is the remainder when 286 is divided by s?
134
Suppose 145 = 5*a + 6*g - 2*g, 5*g - 29 = -a. Suppose 193*h + 5050 - 35531 = -250*h + 15148. Calculate the remainder when h is divided by a.
16
Suppose 0 = -2*g + 1 + 3. Let j(c) = 3*c**2 - 2*c + 3. Calculate the remainder when j(g) is divided by ((-84)/35)/12*-35.
4
Suppose 931 = 4*i - 3*f, -754 = -5*i + 3*f + 409. Calculate the remainder when i is divided by 30.
22
Let g = 1062 - 1040. What is the remainder when 900 is divided by g?
20
Suppose 179*c - 279 = 127*c + 345. Suppose -2*u + 42 = -u. Calculate the remainder when u is divided by c.
6
Let v = 1984 - 1951. Calculate the remainder when 154 is divided by v.
22
What is the remainder when 251 is divided by 86*1 - (56/(-21))/(12/18)?
71
Suppose -76 = -5*m + 4. Suppose 0 = 4*j - 2*a - m, 5*j + 4*a + 0*a = -6. Calculate the remainder when 6 is divided by j.
0
Suppose 53 - 49 = -4*y. Let k = 14 + y. Calculate the remainder when 20 is divided by k.
7
Let q(c) = c**2 - 24*c + 44. Let v be q(2). Suppose m - 20*s + 17*s - 41 = 0, 2*m - 4*s - 74 = v. Calculate the remainder when m is divided by -1 - (-32)/(2*1).
14
Let i be (9 - 5)*10/2. Suppose -i = -5*o + 4*q, 3*q + 15 = -3*o - o. Suppose -x = c - 11, o*c = c - 4. What is the remainder when 75 is divided by x?
5
Let r be 18/18 - (-12)/(4 + -1). Suppose -3*w + 32 + 48 = 4*g, r*g + 33 = w. Calculate the remainder when 251 is divided by w.
27
Let f be 1 + (-2)/4*-2. Suppose 4*w = f*w + 6. Calculate the remainder when w is divided by 2 + 0 - (124 - 125).
0
What is the remainder when 3402 is divided by 37*6/45*360/48?
35
Suppose -3*t = -31 - 20. Let k(j) = 152*j + 6684. Calculate the remainder when k(-43) is divided by t.
12
Suppose 5*g = -25, 3*r - 5*r - 4*g = 466. Let y = 229 + r. What is the remainder when 39 is divided by y?
3
Suppose v = 18*v - 1462. Suppose 2*i - 20 = i - 3*y, -5*i - y + v = 0. Calculate the remainder when 185 is divided by i.
15
Let q(d) = -120*d**3 - 3*d**2 - d + 2. Let b(c) = c + 4. Let w be b(0). Let z(p) = 4*p**2 - 5*p - 3. Calculate the remainder when q(-1) is divided by z(w).
38
Suppose 3*p + p + 720 = 4*h, 4*p - 8 = 0. What is the remainder when h is divided by 6/((-260)/(-186) + 880/(-660))?
89
Suppose 108*l - 114*l = 2646. Let k = l - -448. Calculate the remainder when 153 is divided by k.
6
Let q be 13/((-39)/1386) - -1. Let j = 851 + q. Suppose -5*b = -3*y + 286, -3*y = y + 2*b - j. What is the remainder when y is divided by 20?
17
Suppose 5*u - 2*t + 16 - 478 = 0, -3*u + t = -278. What is the remainder when 397 is divided by u?
21
Suppose -101*s + 191706 = 258*s. What is the remainder when s is divided by 5?
4
Let k(v) = v**3 - 3*v**2 + 16*v - 49. Let i = -24 - -29. What is the remainder when 238 is divided by k(i)?
76
Suppose 135*h - 156*h = -231. Let d(g) = 4*g**2 + g - 5. Let t be d(4). Suppose 4*p - 101 = t. What is the remainder when p is divided by h?
8
What is the remainder when 879 is divided by (-2 + (-39)/6)/(4 + (-2603)/646)?
12
Let f = -1964 + 1993. What is the remainder when 318 is divided by f?
28
Let n = 28370 + -28302. Calculate the remainder when 128 is divided by n.
60
Suppose -16*v + 22*v - 24 = 0. Calculate the remainder when v/12 + (-5)/((-15)/428) is divided by 29.
