1. Calculate the remainder when y is divided by f.
17
Calculate the remainder when (-2 + 2500/6)/(102/18 - 5) is divided by 25.
22
Suppose 4*y - 173 = -37. Let d = -333 - -418. Let i = d - y. What is the remainder when i is divided by 9?
6
Let k = 1024 - 976. What is the remainder when 79 + (-2 - -1) + -1 is divided by k?
29
Let n = 6067 + -5468. What is the remainder when n is divided by 125?
99
Let c = -13387 - -15390. What is the remainder when c is divided by 34?
31
Let s(v) = 64*v + 13 - 10 + 48*v. Let r be s(4). Let o = r + -315. Calculate the remainder when o is divided by 35.
31
Let p = -2610 - -2756. Calculate the remainder when p is divided by 25.
21
Let m be 6426/(-49) + 5/35. Let l = m + 145. What is the remainder when 61 is divided by l?
5
Suppose -1132 = -39*k + 4*k - 2*w, 2*w = 2*k - 52. What is the remainder when 5439 is divided by k?
31
Suppose 3*t - c + 4*c = 42, -3*t + 3*c = -66. Calculate the remainder when (-18090)/(-450)*(-4)/(-18)*30 is divided by t.
16
Let r(z) = -z**3 + 103*z**2 - 109*z + 826. What is the remainder when 120 is divided by r(102)?
8
Suppose 0 = 36*s - 3636 - 1044. Let z(o) = -o**3 - 14*o**2 - 14*o + 11. Calculate the remainder when s is divided by z(-13).
10
Let a = 43 + -20. Suppose -2*s + 2*s - 612 = -9*s. What is the remainder when s is divided by a?
22
Let x(a) = a**3 + 2*a**2 - 3*a + 2. Suppose 164*o - 319*o = -203*o + 288. Calculate the remainder when x(3) is divided by o.
2
Suppose 13*z - 16*z + 138 = 0. Suppose -43*x - 30 = -z*x. Calculate the remainder when 89 is divided by x.
9
Let p(l) = 10*l**2 - 61*l + 45. Let b(n) = -n**3 + n**2 - 3*n + 1. What is the remainder when p(6) is divided by b(-2)?
1
Let c = 326 + -63. Suppose -c + 71 = -4*v. What is the remainder when v is divided by 16 - 5 - 3/(-4 + 7)?
8
Let m(k) = 2*k**3 - 5*k**2 + 2*k + 1. Suppose -95 + 25 = 5*w. Calculate the remainder when (-4)/14 - 872/w is divided by m(3).
14
Suppose -32*z - 216 = -5*z. Let s(v) = -3*v**2 - 36*v - 78. Calculate the remainder when 484 is divided by s(z).
16
Let g(m) = -m**3 + 5*m**2 + 5*m + 7. Suppose f + 65 = 3*f - 3*l, 5*f + 2*l = 153. Let y = 36 - f. What is the remainder when g(y) is divided by 5?
2
Suppose -6 = 3*k - 4*k. Suppose 3*z - 24 + k = 0. Let v(a) = -7*a - 54. What is the remainder when z is divided by v(-8)?
0
Suppose 5*z = 4*n - 249, -15 = -n + z + 47. Suppose 83*f + 85*f = 20*f + 3256. Calculate the remainder when n is divided by f.
17
Let m(s) = 4074*s**2 + 145*s + 142. What is the remainder when m(-1) is divided by 7?
4
Let z(n) = -3*n + 41. Let f be z(12). Suppose 113 - 68 = f*w. Calculate the remainder when 69 is divided by w.
6
Let l(u) be the first derivative of 8*u**3/3 + u**2/2 - 22. Calculate the remainder when l(-1) is divided by (-3 + 7)*1 - 0.
3
Suppose -38 - 68 = 2*u. Let w = u + 73. Suppose 0 = 4*v + 5*m - 65, -w = -5*v + 4*m + 51. What is the remainder when v is divided by 4?
3
Let m = 3701 - 3584. What is the remainder when 383 is divided by m?
32
Suppose -n + 11*n = 0. Let j(w) = w**2 - w - 49. Let c be j(n). Let a = 99 + c. Calculate the remainder when a is divided by 13.
11
Let w(h) = -19*h + 7. Let q be w(-6). Suppose 126*c - q*c - 125 = 0. Calculate the remainder when c is divided by 13.
12
Suppose q + 16 = 5*v, -2*v = -1 - 5. What is the remainder when 47 is divided by q*10/(-15)*18?
11
Suppose 0 = -18*g + 43804 + 6884. Calculate the remainder when g is divided by 36.
8
Suppose 711*w - 211596 = -205*w. What is the remainder when 481 is divided by w?
19
Suppose -5*k - 5*i = -4*i - 384, 0 = -4*k + 2*i + 310. What is the remainder when k is divided by ((-735)/98)/((-1)/((-48)/(-9)))?
37
Let a be (-57)/(-21) - (-2)/7 - 1. Suppose -c + y + 1 = 2*y, -4*c - a = -2*y. Suppose c = 4*f - 81 + 53. Calculate the remainder when 26 is divided by f.
5
Let o(a) = a**3 + 16*a**2 + 20*a - 41. What is the remainder when o(-10) is divided by 118?
5
Let g = 8387 - 8361. Suppose 2*h = -2*r + 14, 4*h + 2*r - 18 = -0*h. Suppose h*a = 444 - 30. What is the remainder when a is divided by g?
25
Let h = -10 + -110. What is the remainder when (h/(-35))/6*21 is divided by 3?
0
Let i = -440 + 184. Let d = i + 267. Calculate the remainder when 62 is divided by d.
7
Suppose 3*z - 16310 = -i - 16210, 2*i + z = 195. Suppose -32 + 168 = 4*h. What is the remainder when i is divided by h?
29
Let c(q) be the third derivative of 0*q - 49*q**2 + 0 + 0*q**3 + 1/2*q**4. Calculate the remainder when c(1) is divided by 5.
2
Let y = 731 + -1296. Let s = -612 + 214. Let o = s - y. What is the remainder when o is divided by 34?
31
Suppose 3*b + a + 2 = 0, 0 = -5*b + 5*a + 29 + 1. Let d be 5/5 - -10*b. Suppose 0 = -d*u + 526 + 156. What is the remainder when 245 is divided by u?
59
Let m = 24919 - 22395. Calculate the remainder when m is divided by 501.
19
Let x be (-31)/93 + 1654/(-6). Let d = 3 - -6. Calculate the remainder when (8 + x/9)/(2/(-3)) is divided by d.
7
Let t(p) = 7*p**3 - p**2 - 1. Let r be t(1). Suppose -r*h + 2*u + 65 = 7*u, 0 = 3*h + 4*u - 41. Calculate the remainder when (0 - -28) + 0 + 1 is divided by h.
7
Suppose 20 = 5*j - 70. Suppose 12 = -3*b, -b + 74 + 40 = 2*c. Calculate the remainder when c is divided by j.
5
Suppose -2*q - 39 = -5*t, -q + 5 + 7 = t. Suppose 17 = n + 3*r - t, -5*n - 5*r = -120. What is the remainder when n is divided by 7?
2
Let g = -979 - -996. Suppose 0 = 2*z + 2*n + 28, 4*z + 4*n + 62 = 3*n. Let c = 21 + z. Calculate the remainder when g is divided by c.
2
Suppose -i + 4*d + 20 = 0, -499*d + 400 = 5*i - 494*d. Let j(p) = -2*p**3 - 7*p**2 + 9*p + 5. What is the remainder when j(-6) is divided by i?
63
Let i = -24 - -36. Let n(y) = -6*y**3 - 470*y**2 + 309*y - 448. What is the remainder when n(-79) is divided by i?
9
Let a(f) = 70*f**2 + 0*f**3 - 4*f**3 - 3*f + 4 - 69*f**2 + 5*f**3. What is the remainder when a(3) is divided by 9?
4
Let a(z) be the first derivative of 30 - 12*z - 1/3*z**3 - 13/2*z**2. What is the remainder when 33 is divided by a(-10)?
15
Let u(w) = 69*w - 62. Calculate the remainder when u(10) is divided by (-1 + (-1 - -1))*3 - -20.
16
Let r = 613 + -577. Suppose 5*c + 0*n - 345 = -5*n, -203 = -3*c - n. Calculate the remainder when c is divided by r.
31
Suppose -58 = -s + 2*m, 3*s + m + 125 = 5*s. Let l be ((-136)/(-32))/(6/(-72)). Let b = l + s. Calculate the remainder when b is divided by 4.
1
Let s(p) = 30*p + 8. Let q = 196092 - 196053. Calculate the remainder when s(6) is divided by q.
32
What is the remainder when ((-72)/(-288))/((-4)/(-11392)*4) is divided by 64?
50
Let k = 19 + -17. Suppose -141 = -g - 3*r, -3*g + 476 - 18 = k*r. Suppose 0 = -8*z + 36 + g. Calculate the remainder when 95 is divided by z.
23
Let x(u) = -157*u**2 - 943*u - 3. Let h = 1 - -6. What is the remainder when h is divided by x(-6)?
1
Let k = -32495 - -32672. What is the remainder when 328 is divided by k?
151
Let g = 7 + -3. Suppose -2*f - 4 = -g*f - 3*w, w + 12 = f. Suppose -11*b + 55845 = 14*b + 54520. Calculate the remainder when b is divided by f.
5
Let s(p) = 2*p**3 + 78*p**2 - 5*p - 136. What is the remainder when 5368 is divided by s(-39)?
58
Let w(h) = 1903*h - 7581. What is the remainder when 1300 is divided by w(4)?
29
Let l be (54/(-4))/((-30)/(-320)). Let n = l + 184. What is the remainder when n is divided by 21?
19
Let v = -165 + 278. Let t(d) = -22*d + 60. Calculate the remainder when v is divided by t(1).
37
What is the remainder when 4332076/6118 - (-2)/(-23) is divided by 88?
4
Let k be (-6 - -14)*((-2)/(-4) + 1). Let g(r) = 6*r - 22. Let q(c) = 5*c - 2. Calculate the remainder when g(k) is divided by q(4).
14
Suppose -90*d = -148*d + 106430. Calculate the remainder when d is divided by 115.
110
Suppose -4*f - 20 = -z, -5*z + 198*f = 199*f - 121. What is the remainder when 453 is divided by z?
21
Let v(o) be the third derivative of o**6/120 - o**5/5 + 13*o**3/6 - 2*o**2 - 28. Calculate the remainder when 77 is divided by v(12).
12
Let b(f) = f**2 - f. Let n be (-3 - 21)/(-4)*30/(-20). Calculate the remainder when b(-5) is divided by 12/n*(4 + -9 - 1).
6
Let i(o) = -14*o - 1. Let l = -83 - -86. Let x = l + 58. Calculate the remainder when x is divided by i(-1).
9
Let p = 29 - 23. Suppose 2*z - 4 = p*z, 2*i - 143 = -5*z. Calculate the remainder when i