t h = d - r. Calculate the remainder when h is divided by 43.
40
Let v(a) = -173*a + 1680. Calculate the remainder when v(4) is divided by 324.
16
Suppose 0 = -x - a - 3*a + 103, 294 = 3*x - 3*a. Suppose -9*n + 231 = -3. Calculate the remainder when x is divided by n.
21
Suppose -2*i + 4*c + 4 = 766, -i - 4*c = 369. Let g = 400 + i. Calculate the remainder when 113 is divided by g.
21
Let x(g) = 884*g**2 - 77*g + 6. Calculate the remainder when x(1) is divided by 130.
33
Suppose 0 = -c - 4*g + 32, -22 = -c - 3*g + 9. Suppose -3*b - 35*r + 73 = -40*r, -2*r - 90 = -5*b. Calculate the remainder when c is divided by b.
12
Suppose 555*j = 532*j + 851. Calculate the remainder when 71 is divided by j.
34
Let f(c) = 21*c**2 - 16*c - 425. What is the remainder when 1285 is divided by f(-6)?
4
Let l = -410 - -460. Suppose -21*y - l = -260. What is the remainder when 337 is divided by y?
7
Let y(q) = -3*q**2 + 2. Let p be y(-1). What is the remainder when (1 - 0)*-1 - -4 is divided by ((-42)/(-56))/((-2 - p)/(-4))?
0
Let l(j) = 38*j**3 - 9*j**2 + 60*j - 129. Calculate the remainder when 2011 is divided by l(3).
19
Suppose 302*i + 3615 = 308*i - 2709. Calculate the remainder when i is divided by 33.
31
Let w = -5725 - -5754. Calculate the remainder when 1150 is divided by w.
19
Let o(b) = 68*b - 4. Let r(a) = a**3 - 22*a**2 + 19*a + 45. Let g be r(21). What is the remainder when o(g) is divided by 69?
62
Let b(k) = k**2 + 27. Let z(g) = -g**3 - 24*g**2 + 24*g + 1226. What is the remainder when z(-23) is divided by b(0)?
10
Suppose 64 - 815 = -41*f + 2734. What is the remainder when 424 is divided by f?
84
Suppose 1203 = 7*n + 874. Calculate the remainder when 66 is divided by n.
19
Suppose 3416 = -6966*t + 6994*t. Calculate the remainder when 473 is divided by t.
107
Suppose -w + 145 = -2*m, 66*m = 5*w + 67*m - 692. Calculate the remainder when 1242 is divided by w.
130
Calculate the remainder when 1061 is divided by 525 + ((-30)/(-40) - 39/(-12)).
3
Let j(n) = n**3 + 2*n**2 - 8*n - 3. Let o be j(3). Suppose 0 = -o*z + 104 + 202. Calculate the remainder when 98 is divided by z.
13
Suppose 9*f - 4*f = 70. Suppose -5*p + 4*o = -6*p - 4, -26 = -4*p + 5*o. Suppose -2*g - p = -5*a, 3*g = 3*a + g. What is the remainder when f is divided by a?
0
Suppose y - 6 + 2 = 0, -3*y - 48 = 5*u. Let i = u - -23. Suppose w + 2*r = 4*w - 67, 56 = 4*w + 4*r. What is the remainder when w is divided by i?
8
Let f = -28 + 29. Let t be (f + (-1)/5)*5. Suppose -t*u + 249 = -u. What is the remainder when u is divided by 28?
27
Let k(s) = 2*s**2 - 39*s + 14. Suppose -4*j = 0, 19 = -2*w - j + 63. What is the remainder when k(20) is divided by w?
12
Let n = -23759 + 36403. What is the remainder when n is divided by 281?
280
Suppose 11 + 9 = 5*o. Suppose -q - j = o*q - 23, 2*q - 16 = 3*j. Suppose 4*a - y = q*a - 36, 2*a - 72 = 5*y. Calculate the remainder when a is divided by 19.
17
Let b = 207 + -211. What is the remainder when 65 is divided by (-19 - 50)*b/6?
19
Let b(v) = 11*v**2 - 52*v + 88. Let r be (-2)/1 + 48 + 2. Suppose -4*k = -r - 12. Calculate the remainder when b(2) is divided by k.
13
What is the remainder when 518 is divided by ((-64)/(-48))/(12/(-9))*-197?
124
Let k(y) = -2*y + 36. Let g be k(14). Suppose 5*p - 1417 = -g*p. What is the remainder when p is divided by 19?
14
Let o = 30 + 137. Calculate the remainder when o is divided by (-26 + 23 - -13)*(-112)/(-20).
55
Let r = -83 - -97. What is the remainder when (-2)/(56/(-2636)) - (-5)/(-35) is divided by r?
10
Let s = -387 + 654. Suppose -3*b = -68 - 4. Calculate the remainder when 109 is divided by 7/(-56) + s/b.
10
Suppose -3*m - 108 = -7*m. Let p = -2852 - -2862. Calculate the remainder when m is divided by p.
7
Suppose -4*r + 67566 = -z, 71*r - 84441 = 66*r + 4*z. Calculate the remainder when r is divided by 64.
61
Suppose -12*w + 164 = -28. Suppose 0 = -2*l - 5*d + 69, 4*l + 3*d - 102 = 57. What is the remainder when l is divided by w?
10
Suppose -4*v + 35 = m, 2*v + 3*m + 23 = 6*v. Suppose -11*g = -v*g + 60. Let s = g + 32. Calculate the remainder when 44 is divided by s.
8
Suppose -28*l - 616 = -2996. Suppose -p = -2*v + l, -4*v + 5*v - 65 = -4*p. What is the remainder when 133 is divided by v?
43
Let v = 15 + -15. Suppose 0 = i - 12 + 8. Calculate the remainder when 57 is divided by v + -2 + i - (-18 - 0).
17
Let b(z) = 12*z - 46. Let a be b(5). Suppose -a*y + 13*y - 1 = 0. Calculate the remainder when 190 is divided by 25 - (y/((-1)/(-2)) + 3).
22
Calculate the remainder when 145 is divided by 2/3 - 10043/(-249).
22
Let d(q) = 3*q**2 + 66*q + 45. Let j be d(-21). Suppose o - 19 = -5. Calculate the remainder when o is divided by (-2)/(-6) - 26*6/j.
5
Let k(m) = 3*m**3 - 12*m**2 - 25*m + 89. Let y(v) = -v**3 + v**2 + v + 18. What is the remainder when k(9) is divided by y(0)?
17
Suppose 490 = g + q, q + 1003 = 5*g - 1429. Calculate the remainder when g is divided by 70.
67
Suppose -5*s = -3*x - 551, -11*x + 9*x - 365 = -s. Let a = x + 249. Calculate the remainder when a is divided by 10.
7
Let g = 1043 + -531. Suppose -3*n + 5*s = -g, 0 = 3*n - 6*s + 3*s - 522. Suppose 46*p = 41*p + 150. Calculate the remainder when n is divided by p.
29
Suppose 291 = 6*f + 93. Suppose f*r - 2*r = 93. Let h(n) = -5*n - 3. Calculate the remainder when h(-2) is divided by r.
1
Let c(l) = l**2 - 103*l + 240. Let m(x) = -x**3 + x**2 - x + 13. What is the remainder when c(101) is divided by m(0)?
12
Let f = 341 - 306. Suppose -13*w + 8*w + 60 = 0. What is the remainder when f is divided by w?
11
Suppose 26 = t + 5*v, 4*t + 2*v = t + 52. Suppose t*u - 168 = 88. What is the remainder when 93 is divided by u?
13
Let n = -6924 - -8072. Calculate the remainder when n is divided by 8.
4
Let p(z) = z**2 - 92*z + 2032. Calculate the remainder when 873 is divided by p(31).
27
Suppose 0 = 9*z + 1476 - 477. Let o = z + 141. Calculate the remainder when o is divided by 16.
14
What is the remainder when (-10)/(-12) - (97492/96)/((-10)/40) is divided by 28?
3
Suppose -2*p - 18 = 0, -5*p + 7715 = 2*u - 44440. What is the remainder when u is divided by 43?
42
What is the remainder when 2277 is divided by ((-8)/(-36) + 148/(-18))*7378/(-3472)?
16
Suppose -4 = 2*n, 3*p + 5*n = 7*n + 328. Calculate the remainder when 245 is divided by p.
29
Let n(k) = -17 + 26 + k + 1 + 17. Calculate the remainder when 112 is divided by n(6).
13
Let m(k) = 569*k + 1156. Calculate the remainder when m(4) is divided by 127.
3
Let u(c) = 25 - 14*c - 3*c - 11. Suppose 3*l - 4*s = -2, 3*s + s - 8 = 4*l. Calculate the remainder when u(l) is divided by 39.
38
Suppose -29*f + 1958 + 3151 = 788. Calculate the remainder when 4767 is divided by f.
148
Suppose 7*w - 8*w - 2327 = -14*w. Calculate the remainder when 737 is divided by w.
21
Let l be 16/(-40) + (0 - (-537)/5). Suppose 297 = 4*u - l. What is the remainder when 604 is divided by u?
99
Suppose -n - 58 = -v, -4*n - 228 = -4*v - n. Let q = v + -53. What is the remainder when 49 is divided by 515/30 + q/(-6)?
15
Suppose -124 = -4*m - 5*z + 3*z, -5*m + 155 = -4*z. Suppose 0 = -3*q - 3, -5*o = q - m - 28. Let f = 22 + -15. Calculate the remainder when o is divided by f.
5
Let w be (-66)/10 + 10/(-25). Let j(t) = -2*t**2 - 18*t - 8. Calculate the remainder when 459 is divided by j(w).
19
Suppose 5*j - 4*j - g = 3, 4*j - 3*g - 17 = 0. Let i = 67 - 37. Calculate the remainder when i is divided by j.
6
Suppose -265 = -5*o + 5*v, 3*o - 9045 = -4*v - 8935. Calculate the remainder when 1385 is divided by o.
5
Let t = 16 - 26. Let m(s) be the third derivative of -s**6/120 - 3*s**5/20 + s**4/3 + s**3/6 + 2565*s**2. Calculate the remainder when m(t) is divided by 12.
9
Calculate the remainder when (176/(-80))/((-1)/575) + -1*6 is divided by 25.
9
Let h(o) = o**3 - 12*o**2 + 41*o - 32. What is the remainder when 657 is divided by h(9)?
93
Suppose -65*d + 1312151 = 6*d. What is the remainder when d is divided by 61?
59
Suppose 0 = 43*l - 227425 + 55210. Calculate the remainder when l is divided by 167.
164
Suppose -4*p + 2*p + 990 = 394. Calculate the remainder when p is divided by 11.
1
Let c(z) = -z**2 + 12*z - 17. Let q be c(2). Let f(j) = 15*j**2 + 9*j - 11. Calculate the remainder when f(q) is divided by 40.
31
Let r(y) = -6*y