Suppose 0*m = -4*m - 5*v + 9, -5*v = -m - d. What is the remainder when 90 is divided by p(m)?
21
Let h = 79882 + -79876. Let i = -9 + 18. What is the remainder when i is divided by h?
3
Suppose -22*l = -19*l + 3*j - 933, 20 = -5*j. Calculate the remainder when l is divided by 167.
148
Let z = 1060 + -620. Calculate the remainder when z is divided by ((-51)/(-18)*-3)/((-3)/6).
15
Suppose -474*y + 1402 = -2864. Let g = 46 + 56. What is the remainder when g is divided by y?
3
Suppose -30 + 2 = -2*t. What is the remainder when 375 is divided by t?
11
Suppose -81 = -6*j + 1173. Let f(n) = -n**3 - 59*n**2 - 693*n - 157. What is the remainder when j is divided by f(-43)?
35
Let v(j) = 6*j - 122. Let d be v(21). Suppose -d*y + 260 = 4*z, 0 = -5*z + 3*y + 2*y + 365. What is the remainder when z is divided by 24?
21
Let j = 48 - 48. Suppose 3*t + 0*t = j. Suppose -4*n + t*n + 248 = 0. What is the remainder when n is divided by 22?
18
Let g(k) = -k + 15. Let p(n) = -n**3 + 8*n**2 - 7*n - 11. Let b be p(7). Let a = 188 + -91. What is the remainder when a is divided by g(b)?
19
Let k = -704 + 707. Suppose -k*x + 4*g + 26 = 0, 2*g + 20 = 3*x + g. What is the remainder when 100 is divided by x?
4
Let d(i) = -60*i - 351. Suppose -4*n = 2*v + 2*v - 80, -4*v + 68 = -2*n. Calculate the remainder when d(-7) is divided by v.
15
Let u be 24/32 + 49/4. Let r(x) = 14*x + 33. Let f(t) = 17*t + 33. Let a(q) = -5*f(q) + 6*r(q). Calculate the remainder when 78 is divided by a(u).
18
Let n = 36614 + -36326. What is the remainder when 1741 is divided by n?
13
Let v(s) = s + 41. Let f be v(-20). Let q = 49 - 34. What is the remainder when 846/f + (-2)/7 is divided by q?
10
Suppose -3*g = -5*k + 627, -2*k + 283 = 3*g + 49. Let t = 44 + k. What is the remainder when t is divided by 17?
14
Let b(r) = -5*r - 30. Let y be b(-6). Suppose -4*x - m + 288 = 2*m, 2*x - 3*m - 162 = y. Calculate the remainder when x is divided by 19.
18
Suppose -96*o + 138 = 2878 - 12820. What is the remainder when o is divided by 71?
34
Let g be -1 - (-114)/(399/78 - 5). Calculate the remainder when 183 is divided by -8 - g/(-18) - (-3)/18.
42
Let k(z) = 402*z**2 + 22*z - 1. Let a be k(3). Suppose -27*g + a = 2*g. What is the remainder when g is divided by 43?
41
Let m = -5568 + 5772. Calculate the remainder when 644 is divided by m.
32
Let i = 359 - 251. Suppose -111*l + i*l = -42. What is the remainder when 43 is divided by l?
1
Suppose 287 = 16*c - 705. Let y = 85 - c. What is the remainder when 90 is divided by y?
21
Let n(a) = 341*a**3 - 18*a**2 + 25*a - 8. What is the remainder when n(1) is divided by 116?
108
Suppose 5*a - 4 = 3*a. Let p(x) be the first derivative of -x**3/3 + 3*x**2/2 + 3*x - 1. What is the remainder when 16 is divided by p(a)?
1
Suppose 47*a - 300 = 37*a. What is the remainder when (8/(-7))/(-4) - (-2068)/14 is divided by a?
28
Suppose -t = -4*h + 116, -h - 4*t + 12 = -0*h. Let k(s) = s + 66. Let c be k(-15). Let f = c - -4. Calculate the remainder when f is divided by h.
27
Let x = 1718 + -1610. What is the remainder when x is divided by 104?
4
Suppose -4*c - 313 = -5*i - 7*c, 3*i = 4*c + 211. Let y(v) = v**3 - 3*v**2 - 3*v + 23. What is the remainder when i is divided by y(4)?
11
Let b(m) = m**3. Let x be b(0). Suppose x = r - 3*a - 65, -4*r + 324 = 4*a - 0*a. Let w = r - 68. What is the remainder when 150 is divided by w?
6
Let s = -3455 - -3562. What is the remainder when 19471 is divided by s?
104
Let c(r) = r**2 + 16*r + 58. Let v be c(-5). Suppose 0 = -v*f + 4*f - 3, -k - 5*f = -46. Calculate the remainder when 47 is divided by k.
16
Calculate the remainder when (-5 - (-1640)/15 - -7)/(22/165) is divided by 23.
7
Suppose -3*s + 1134 = 4*s. Let u = -107 + s. What is the remainder when u is divided by 14?
13
Let r = -7629 + 22140. What is the remainder when r is divided by 246?
243
Let q = -331 + 343. What is the remainder when 25 is divided by (q/(-4))/3 - (-5 + 2)?
1
Let g(s) = -56 - 18*s**3 + 12*s**2 + 52 + 17*s**3. Calculate the remainder when g(11) is divided by 59.
58
Let l = 4736 + -4673. Calculate the remainder when 481 is divided by l.
40
Let p(q) = -q**3 - q**2 + 6*q + 5. Let x be p(-3). Suppose -s - 4*f = 25, -3*s = -s - x*f + 76. Let c = -24 - s. What is the remainder when c is divided by 8?
1
Suppose -w - 13 = -4*v - 6*w, -v - 3*w = -5. Let x = 28 - 26. Suppose v*l - 28 = -x*u, 0 = 4*l + l - 4*u - 25. Calculate the remainder when 16 is divided by l.
7
Suppose -f - 3*j = -141, 4*f - 5*f = -j - 125. Suppose -k + 990 = 21*k. Calculate the remainder when f is divided by k.
39
Let w(t) = t**3 + 25*t**2 - 2*t - 27. Calculate the remainder when -30*9*2/(-15) is divided by w(-25).
13
Suppose 18*z - 10*z = 12*z - 244. What is the remainder when 366 is divided by z?
0
Suppose -15 = r - x + 3, 15 = 5*x. Let s = 26 + r. Suppose 2*h - 6 = -2*y, 0 = 4*y - 2*y - 3*h - s. What is the remainder when 19 is divided by y?
3
Suppose 318 = 3*z - 2*n - 567, -5*n = 2*z - 571. Let i(q) = 26*q**3 - q**2 - q + 1. What is the remainder when z is divided by i(1)?
18
Suppose 523 = 16*n - 805. Suppose 2*f = -8*f. Suppose 0 = -f*r - 9*r + 189. Calculate the remainder when n is divided by r.
20
Suppose 76 + 246 = 7*l. Let b = l + -67. Let t = 48 + b. What is the remainder when t is divided by 12?
3
Suppose 5*j = 131 - 21. Suppose 4*p - 787 = 5*f, -83 - 311 = -2*p + 2*f. Let v = 237 - p. What is the remainder when v is divided by j?
17
Let i be ((-432)/(-20))/((-36)/(-120)). Let w = -68 + i. What is the remainder when 24 is divided by w?
0
Let o be (-20)/(-8)*8/10. Suppose 2 = -x + o*i + 5, 5*x - 5*i - 20 = 0. Suppose -22 = -x*c + 3*c. What is the remainder when 106 is divided by c?
7
Let f = 78 + -35. Let n = f - 27. Calculate the remainder when 39 - (19 - 5 - 18 - 0/4) is divided by n.
11
Let f(k) = 9*k**2. Let c be f(1). Let j(h) = -3*h - 10 - 4*h + c - h. Calculate the remainder when 27 is divided by j(-2).
12
Let c = 43 - 21. Let n = 717 - 404. Let q = n + -271. Calculate the remainder when q is divided by c.
20
What is the remainder when -254 + 2372 - 1*21 is divided by 2092?
5
Let x = 2 - -1. Let f(u) = -u**2 + 3315*u + 4. Calculate the remainder when (x - (0 - -2))*14 is divided by f(0).
2
Let d be 15/(-5) + (2 - 0). What is the remainder when (-319)/(-66) - d/6 is divided by 3?
2
Suppose -10*n - 1196 = -3*a - 8897, -n - 4*a + 783 = 0. What is the remainder when n is divided by 37?
31
Suppose 5*y + 3*x + 317 = 0, -169 = 3*y + 4*x + 19. Let f be 3/(-9)*341 + 248/372. Let g = y - f. Calculate the remainder when g is divided by 17.
15
Calculate the remainder when 1319 is divided by 70/5 + (-8)/12*9 + 3.
10
Let b = 32 + -32. Suppose 0 = 5*c - 0*s + 3*s - 253, 5*c - 248 = 2*s. Suppose b*t + 2*t - c = 0. Calculate the remainder when 96 is divided by t.
21
Suppose -2034 = -11*f + 1816. Suppose -3*n = 7*n - f. Calculate the remainder when 559 is divided by n.
34
Let f(l) = -13*l + 157. Let x be f(12). Let j(w) = -11*w - 7. Let d be j(10). Calculate the remainder when (1 - x - 26)*d/26 is divided by 24.
21
Suppose -4*f - 2*h = -3*f - 1203, 2*f = 5*h + 2388. What is the remainder when f is divided by 60?
59
Suppose -11080 = 224*n - 264*n. Calculate the remainder when n is divided by 182.
95
Let s(o) be the first derivative of -41*o + 25 + 7/2*o**2. What is the remainder when s(20) is divided by 25?
24
Suppose 4*h + h = 3*n + 1, -4*n + 10 = -h. Suppose h*s + 7 = 3*g, s - g + 0*g + 1 = 0. Calculate the remainder when 0 + (528/9 - s/(-12)) is divided by 12.
11
Let z = -37 - -50. Suppose z = c + 2*c + 4*m, -10 = -3*c - m. Suppose -5*x = -3*a + 93, -a - c*x - 1 + 18 = 0. Calculate the remainder when 128 is divided by a.
24
Let n = -4783 + 14681. What is the remainder when n is divided by 150?
148
What is the remainder when 684905/6929 + (-4)/(-26) is divided by (-2)/((5/14)/(-5))?
15
Let h(l) = 17*l - 93. Let t be h(10). Suppose 73 = 2*o - t. Calculate the remainder when o is divided by 38.
37
Calculate the remainder when 910 is divided by ((-4131)/85 + 47)*(-970)/8.
134
Let t(a) = 4*a**3 + 67*a**2 - 17*a + 4. Suppose -2*s - c = 3*c - 142, 2*c + 130 = 2*s. Calculate the remainder when s is divided by t(-17).
3
Let d(r) = 7*r - r**3 + 2*r**3 - 1 - 4 - 8*r**2. Suppose 73 = 5*x + 2*s, 3 = -x + 5