. What is the remainder when 78 is divided by v?
14
Suppose 18 - 122 = -8*k. Suppose -172 = -k*g + 10. Calculate the remainder when 698 is divided by g.
12
Let r = -7817 - -7891. Suppose -252 = -3*t - 2*h - h, 4*t - 336 = h. Let l = t - r. What is the remainder when l is divided by 8?
2
Let d be 528/20 - (-2)/(-5). Suppose d*j - 60 = 21*j. What is the remainder when j is divided by 10?
2
Let y(d) be the first derivative of -18 + 16*d**2 - 23*d - 3 - 25. Calculate the remainder when y(3) is divided by 39.
34
Let d be ((-388)/(-6))/((-5)/(-15)). Let i = 373 - d. Suppose -v + 4*s - 7*s + 36 = 0, 0 = s + 3. Calculate the remainder when i is divided by v.
44
Suppose -18952 = -28*x + 1796. Calculate the remainder when x is divided by 112.
69
Let v be 203/2 + (-3)/(-2) + -3. Let j = 99 - v. What is the remainder when (2 + j)*(1 + 21) is divided by 4?
2
Let m(y) = y**3 - 77*y**2 + 87*y - 4. Calculate the remainder when m(76) is divided by 205.
12
Suppose -5*f + 114 = -o, -2*f - 5*o + 65 = 14. Suppose 4*x - 17 = f. Suppose -x*k - 12 = -12*k. What is the remainder when 21 is divided by k?
3
Suppose -34*d + 3424 = -7*d - 2192. Calculate the remainder when 13311 is divided by d.
207
Let p(w) = 19*w + 67. Suppose 17*f = 307 + 33. What is the remainder when p(-2) is divided by f?
9
Let p = 623 - 355. Let k = p - 183. Calculate the remainder when k is divided by (-1)/(348/(-172) + 2).
42
Let w(g) = 21*g**2 + 37*g - 40. What is the remainder when w(1) is divided by 3?
0
Let g(u) = -79*u + 1104. Calculate the remainder when g(-27) is divided by 45.
42
Let c be 105/(-20)*16/(-12). Let q(b) = 100*b - 560. Calculate the remainder when q(c) is divided by 16.
12
Suppose -5*z + 1804 = -3*y - 1246, -2*z - y = -1209. Calculate the remainder when z is divided by 38.
37
Calculate the remainder when 3596 is divided by (1 - 2)*1*-59*(117 + -116).
56
Calculate the remainder when 132 is divided by 2/(-12)*(-40)/60*3*21.
6
Let t(d) = 10*d**2 + 2. Let z be t(-2). Let o be z/(-6)*(-4 - -1). Suppose 3*h = -3*y + o, 35 = 4*y - 3*h - 21. What is the remainder when y is divided by 4?
3
Let k(p) = -27*p - 18. What is the remainder when k(-3) is divided by (70/4)/(10*(-4)/(-80))?
28
Let g(h) be the second derivative of h**4/2 - h**3/2 - 19*h**2/2 - 17*h. Let t be g(-6). Let c = -152 + t. What is the remainder when c is divided by 8?
7
Let l(c) = 6*c**2 - c**2 - 6*c**2 - 5 + 13*c - 10 + 8*c. What is the remainder when l(8) is divided by (-2*1)/2 + 19?
17
Suppose 25*p = -89 + 139. Suppose -7*s - 2*d + 634 = -5*s, 0 = -4*s + p*d + 1262. What is the remainder when s is divided by 53?
51
Suppose -3*c = 36*d - 41*d - 683, 3*c - 2*d = 671. Calculate the remainder when c is divided by 40.
21
Suppose -o + 5*o = 4*i - 404, o - 4 = 0. What is the remainder when 126 is divided by i?
21
Let t(k) = 2*k**2 - 10*k. Suppose 0 = 71*r - 66*r + n - 58, -2*r + 28 = -2*n. Calculate the remainder when t(7) is divided by r.
4
Let w be 4/6*(6 + -15). What is the remainder when ((-2)/(-3))/(2/66) is divided by (w/(-15))/(15/150)?
2
Suppose -2*n - w - 3*w = -304, -n - w = -150. Suppose n + 488 = 6*v. Calculate the remainder when v is divided by 14.
8
Let c(n) be the first derivative of n**2/2 - 6*n + 22. Let g be c(6). Calculate the remainder when ((-1)/4 - g) + 1513/68 is divided by 8.
6
Suppose 56*k - 55*k - 9 = 0. Let s be 1 + 29 + (12 - k). What is the remainder when 11 is divided by (s + -43)*-1*(-3)/(-5)?
5
Let w(a) = 3*a**2 - 12*a + 63. Let o be w(6). Let f = o + -72. What is the remainder when 79 is divided by f?
25
Let t(l) = 40*l - 6. Let j be t(-3). Let m = -70 - j. Suppose 3*r - 3*n - 33 = 0, 5*r - 4*n = -0*n + m. What is the remainder when 36 is divided by r?
0
Let w(a) = -3*a**3 + 48*a**2 + 59. Suppose -70*s + 36*s + 544 = 0. Suppose 0*i = -i + 7. What is the remainder when w(s) is divided by i?
3
Let n(k) = -174*k**3 - k**2 - 74*k - 153. Calculate the remainder when n(-2) is divided by 230.
3
Suppose -9*s - 4*s - 108 = -277. Calculate the remainder when ((-1)/2)/((-1)/50) is divided by s.
12
Let s(j) = 2*j**2 + 144*j + 922. Suppose 40 + 70 = 5*u. Calculate the remainder when u is divided by s(-65).
10
Suppose 3*f = -k - k + 3, 0 = -f - 4*k + 11. Calculate the remainder when 30975/189 - f/9 is divided by 14.
10
Let z(j) = 35*j**2 + 1120*j - 4494. What is the remainder when z(4) is divided by 170?
36
Let u(w) = 118*w - 459. Let j(r) = 23*r - 1. Let m be j(8). Suppose 5*s = -y + m, -2*s + y = s - 105. Calculate the remainder when s is divided by u(4).
10
Let p(r) = -45*r + 1. Let f(o) = 4*o**3 - 3*o**2 + 2*o**3 - 33 + 8 + 4*o + 14 + 8. Calculate the remainder when p(-1) is divided by f(1).
2
Suppose 3*w + 36 = 5*s, 7*w = -2*s + 3*w + 30. Let i = -62573 + 62669. Calculate the remainder when i is divided by s.
6
Let w = -79 + 80. Let o(k) = 5*k - 1. Let r be o(w). Suppose 8 = r*q + 4. What is the remainder when 1 is divided by q?
0
Suppose 43*t - 1214 - 569 = -450. Let a(n) = n**3 - 4*n**2 + 5*n - 6. What is the remainder when a(5) is divided by t?
13
Let k(m) = -24*m - 236. Suppose 8*o - 36 + 12 = 0. What is the remainder when k(-13) is divided by o?
1
Suppose 0 = 2*c + 2*c + 16. Let l be 6*(c - (8 + -4)). Let b = -8 - l. What is the remainder when 118 is divided by b?
38
Suppose 6*u = -4228 - 2282. Let q be u/(-10) + (-1)/(-2). Let a = q + -91. What is the remainder when a is divided by 11?
7
Let f(v) = 14*v**2 + 8*v - 9. Calculate the remainder when 3470 is divided by f(-2).
29
Suppose 0 = -2*g + 4*v + 580, -422 = -3*g + v + 443. Suppose 11*d = 10*d - r + 15, -d + 19 = -r. Calculate the remainder when g is divided by d.
16
Suppose 0 = 28*r - 1095 - 1845. Suppose -r*f = -95*f - 290. What is the remainder when f is divided by 21?
8
Suppose s + 4*a - 10 = 714, 7*s - 5198 = -2*a. What is the remainder when s is divided by 57?
3
Suppose -3*d - r + 1 = -16, 2*d = r + 18. Suppose 5*u = -4*n + 1386, -3*n + d*n + 1080 = 4*u. Calculate the remainder when u is divided by 55.
54
Let u(y) = y**2 - y - 7. Let h(o) = 2*o**3 - 2*o**2 - o - 4. Let c be h(-2). Calculate the remainder when (-90)/585 + ((-1096)/c)/1 is divided by u(6).
19
Suppose 4*o - 148 = -4*u, -3*u + 35 + 24 = o. What is the remainder when (49/3)/((-2)/(-6)) is divided by o?
23
Let a = 77 - 42. Suppose -5*v - 75 = 45. Let q = -12 - v. Calculate the remainder when a is divided by q.
11
Let k = -2242 + 2729. Calculate the remainder when k is divided by 33.
25
Let x(r) = r**2 - r. Let k(h) = 5*h**2 - 4*h + 11. Let o(a) = k(a) - 3*x(a). What is the remainder when (2 - 2 - -2) + 126 is divided by o(3)?
24
Let s(t) = 23*t**2 + 249*t - 13. What is the remainder when 1923 is divided by s(-13)?
12
Suppose 0 = 3*h + 3*x + 186, x + 2*x + 304 = -5*h. Suppose -2*l + 5 = -3, -l = -5*r + 371. Let b = r + h. Calculate the remainder when 62 is divided by b.
14
Suppose -5*x = 2*v - 164, 2*x - 32 = 306*v - 302*v. Suppose -3*s - 40 = 4*c, c + 27 = -4*c + 2*s. Calculate the remainder when (114/c)/((-1)/7) is divided by x.
24
What is the remainder when 659 is divided by (-14 + 205 + -1)/2?
89
Let g(q) = q**3 + 7*q**2 - 16*q - 80. Suppose 3*o + 5*p + 3 = 0, 18*p - 17*p - 33 = 5*o. Calculate the remainder when 99 is divided by g(o).
47
Suppose -21 = 4*o + 43. Calculate the remainder when (-20 - -22)*98/4 is divided by (-4)/o + (-102)/(-8).
10
Let m(f) = -6*f + 6 + 2*f + 1 - 40*f**2 + 43*f**2 - 9*f**3. Let z be m(2). Let c = z + 78. What is the remainder when 64 is divided by c?
13
Let b = -2533 + 2552. What is the remainder when 777 is divided by b?
17
Let b = 834 - 832. Suppose 5*j + 40 = 2*a + 190, 51 = b*j + a. Calculate the remainder when 76 is divided by j.
20
Let x be (-28)/8 + 5 + (-2)/4. Calculate the remainder when 32 is divided by 800/90 + x/9.
5
Calculate the remainder when 3915 is divided by (785 + 4/(-2))*5/3.
0
Suppose 5*s + v = 12, 3 = -0*s + 3*s + 2*v. Suppose -4*f - g = -70, 0*g = s*f + 5*g - 44. What is the remainder when 86 is divided by f?
14
Let u = -109 + 130. Suppose w = -4*w + 1110. Let q = 325 - w. Calculate the remainder when q is divided by u.
19
Suppose -53*t = -49*t + 1 - 69. What is the remainder when 267 is divided by t?
12
Suppose 4*v - 4*s - 228 = 0, -5*s + 6*s - 96 = -2*v. Let q be 3*2/6*5. Suppose 317 + 178 = q*z. Calculate the r