.
23
Let y(f) = 3*f + 3. Suppose l = -5*l - 72. Let g be y(l). Let x = g + 112. What is the remainder when x is divided by 20?
19
Let h be 4*(-9)/6*-34. Suppose h = 3*k + 3*p, -4*k + 299 = p - 6*p. What is the remainder when k is divided by 25?
21
Suppose 16*k + 6*k = 4158. Calculate the remainder when k is divided by 97.
92
Let g be (-2 - 12/(-10))*5. Suppose 22*v - 141 - 497 = 0. Calculate the remainder when v is divided by 0/(-1) - g*4.
13
Let k(i) = i**3 - 2*i**2 + 56*i - 170. Let f = 13 + -8. What is the remainder when k(3) is divided by f?
2
Let d be -3 - -5 - (2 - 4). Suppose d = p - 2. Suppose 4*n + n + 2*h - 14 = 0, 0 = -5*n + 2*h + p. Calculate the remainder when 3 is divided by n.
1
Let p = 103 + -30. What is the remainder when p is divided by 55?
18
Let x = -107 - -121. Suppose m + 284 = 5*m. Suppose m - 18 = v. What is the remainder when v is divided by x?
11
Let a(d) = d**2 + 4*d + 4. Let o = -13 - -18. Let u(k) = 325*k + 1000. Calculate the remainder when a(o) is divided by u(-3).
24
Suppose 0 = m + s + 792, -5*s - 2169 = -5*m - 6109. Let y = m - -561. Let j = -156 - y. Calculate the remainder when j is divided by 19.
16
Let z(m) = -m**2 - 10*m + 4. Let d(c) = -2*c**3 - 2*c**2 + 2. Let y(i) = i**2 - 7*i + 4. Let a be y(6). Calculate the remainder when d(a) is divided by z(-10).
2
Let m(y) = 3 - 4 + 6 + 5*y - 2. What is the remainder when m(3) is divided by 10?
8
Suppose -u = -0*u - 4*s - 37, -3*s + 23 = u. Suppose -21*d + 147 = -189. What is the remainder when u is divided by d?
13
Suppose 0*j = 5*j + 575. Calculate the remainder when 1*(-1)/(5/j) is divided by 8.
7
Suppose w + 28 = 3*w. Suppose 8 + w = s. Let c(f) = 2*f**2 - 4*f. What is the remainder when s is divided by c(3)?
4
Suppose -37 = 10*f - 297. Calculate the remainder when 12/(-16) - -177*28/16 is divided by f.
23
Let d(u) = u**2 + 1. Let z be (-7)/1*2/2. Let s(b) = -b + 20. Calculate the remainder when d(z) is divided by s(3).
16
Let a = 47 + -54. What is the remainder when 50 is divided by a - -28 - -1*3/(-3)?
10
Let r = 62 + -57. Suppose -r*q - 2*b = -45, 0 = 3*b - 7 - 8. What is the remainder when 39 is divided by q?
4
Let u(q) be the second derivative of q**3/2 - 26*q. What is the remainder when 106 is divided by u(4)?
10
Suppose 0 = -2*h + 10, 3*h - 31 = -4*b - 0*b. Suppose 9*m - b*m - 5*j = 50, m + 5 = -2*j. What is the remainder when m is divided by 5?
0
Let r be 7 + 1 + (-10)/5 + 19. Let u = 0 + 0. Suppose u = 5*q - 35 - r. Calculate the remainder when 32 is divided by q.
8
Let g(l) = 3*l - 2. Let u be g(4). Suppose 2*a = u + 18. Calculate the remainder when 81 is divided by a.
11
Suppose 12*w - 5*w = 308. Let l = -23 + w. What is the remainder when l is divided by 6?
3
What is the remainder when (-13 - -9) + 53 + 0 is divided by 22?
5
Suppose -4*w + 13 = -3*d, 12 = -2*w + 4*w + 4*d. Let y = w - 0. Suppose l - y*v = 5*l - 48, -l - 2*v = -13. Calculate the remainder when 43 is divided by l.
10
Suppose -z + 5*x + 45 = 0, 0 = -5*x - 1 - 4. Suppose -5*p + 3*p = -3*h + 5, -5*p + z = 3*h. Let a = -14 - -33. Calculate the remainder when a is divided by h.
4
Suppose -z = -0*l + l - 121, 3*z + 5*l - 355 = 0. Suppose 6*i = i + z. Suppose 0 = -2*r + i + 1. What is the remainder when 37 is divided by r?
11
Suppose -2*f - 3*n = -15 - 109, -4*n + 67 = f. Let g = -2181 + 2211. What is the remainder when f is divided by g?
29
Suppose 2*f + 2*a = -f + 23, 2*f + a = 14. Suppose f*z = z + 52. What is the remainder when z is divided by 4?
1
Let d(j) = -8*j - 3. Let t be d(-3). Let k(i) = 5*i - 61. Calculate the remainder when k(t) is divided by 13.
5
Let z = 173 - 113. Calculate the remainder when 236 is divided by z.
56
Suppose 4*b - 112 = -24*o + 28*o, -5*o = 15. What is the remainder when 67 is divided by b?
17
Suppose 0 = w - 5*h + 11*h - 880, -3589 = -4*w - h. Calculate the remainder when w is divided by 15.
13
Let f = -1 + 5. Suppose 3*n = f + 11. Suppose -y = y + 3*q - 67, -5*q = n. What is the remainder when y is divided by 12?
11
Suppose -1180 - 12140 = -74*t. Calculate the remainder when t is divided by 47.
39
Let g(r) be the third derivative of r**5/60 + r**4/12 + 3*r**2. Let l be g(-2). Suppose l + 15 = b. What is the remainder when 41 is divided by b?
11
Let q(d) = 17*d + 9. Let g = -24 + 28. Calculate the remainder when q(g) is divided by 16.
13
Suppose -8 = -4*r, 0 = 9*d - 11*d - 5*r + 88. Calculate the remainder when 584 is divided by d.
38
Suppose 2*m + 21 - 67 = 2*i, 5*i + 10 = 0. Let a = -5151 + 5191. What is the remainder when a is divided by m?
19
Let o(q) = 8*q**3 - q**2 - q - 2. Let h be o(2). Let b = h - 9. Let m = 34 - 10. What is the remainder when b is divided by m?
23
Suppose x + 9 = -2*y, -4*y - 1 = -x + 2. Suppose m + 4*m - 3*v = 90, -5*m + 90 = 4*v. What is the remainder when m is divided by 9/2 + 3 + 1/y?
4
Let b = -170 + 206. Let v be 2/(-4) + (-18)/(-4). Suppose 5*p + 4*f - 96 = 0, -v*p - 4*f = 6 - 82. What is the remainder when b is divided by p?
16
Let g(q) = -43*q**3 - 2*q**2 + 2*q + 2. Calculate the remainder when g(-1) is divided by 18.
5
Let m = -13 - -42. Let w = 37 - m. Calculate the remainder when 26 is divided by w.
2
Let p(z) = 3*z**3 + 1 + 8*z**2 - 4*z**3 + 0*z**3 - 9*z. Calculate the remainder when 93 is divided by p(6).
17
Let x(w) = -w**2 + 3. Let d be x(3). Suppose 674 - 244 = 10*m. Calculate the remainder when m is divided by 4/(-6) - 142/d.
20
Suppose 34*k = 27*k. Suppose -5*y - 2*b + 519 = k, y + 4*b - 214 = -y. Calculate the remainder when y is divided by 15.
13
Suppose -r - 11 = 2*a, 4*a + 4*r + 23 = 3*a. Let y = a - -13. Suppose 0 = -5*x - z + 17, 7*z - 9*z + 4 = 0. What is the remainder when y is divided by x?
1
Let p = 11 + -12. Calculate the remainder when 172 is divided by (-2 - p)/(7/(-203)).
27
Suppose -28*u + 375 = -23*u. Suppose 5*s + 0*s = -5*v + u, -3*s + 37 = -5*v. What is the remainder when 15 is divided by s?
1
Let u be -2*3/2 + 21. Let m(x) = x - 5. Suppose -4*r + 27 + 125 = 0. Calculate the remainder when r is divided by m(u).
12
Suppose 61 = -184*p + 185*p. What is the remainder when p is divided by 15?
1
Let n(r) = 3*r - r + 0 + 17 - r. What is the remainder when 22 is divided by n(-5)?
10
Suppose -121 = 4*i - 773. Suppose 0 = 76*j - 72*j - 220. What is the remainder when i is divided by j?
53
Suppose 137*r = 134*r + 270. Calculate the remainder when r is divided by 9.
0
Let b be -2*(-6)/8*30/5. Suppose -75 = -2*c - b. What is the remainder when c is divided by 19?
14
Let l(j) = 3*j**3 + 42*j**2 - 5*j - 18. Calculate the remainder when l(-14) is divided by 6.
4
Let z be -37 - (-1 + 3 + -2). Let y = z - -78. Calculate the remainder when y is divided by 21.
20
Let c(o) = o**2 - 8*o - 12. Suppose -2*w - 32 = -w - 2*i, -4*w - 104 = -2*i. Let t = w + 34. What is the remainder when 15 is divided by c(t)?
7
Let w(r) = -r**3 + r**2 - 6*r + 228. What is the remainder when w(0) is divided by 33?
30
Let x = 0 - -10. What is the remainder when 5/(4*4/80) is divided by x?
5
Suppose -5*z - 3*j = -175, 5*j - 41 - 16 = -z. What is the remainder when 149 is divided by z?
21
Suppose -43*s + 103 = -69. Calculate the remainder when 117 is divided by s.
1
Let f = -159 + 247. Calculate the remainder when f is divided by 45.
43
Let q(r) = 2*r**3 + 19*r**2 - 17*r - 19. What is the remainder when q(-10) is divided by 38?
13
Let n(a) be the third derivative of -a**6/120 + a**5/3 + 5*a**4/12 - 35*a**3/6 + 16*a**2. Calculate the remainder when n(20) is divided by 14.
11
Suppose -2*h + 66 = 42. Let p(y) = 9*y - 7. What is the remainder when p(5) is divided by h + -5 + 5/5?
6
Let d = -352 + 370. What is the remainder when 1086/21 - (-4)/14 is divided by d?
16
Let n = 14 + -19. Let x = -2 - n. Suppose -5*a = 5*v - 2*v - 30, x*v - 12 = a. What is the remainder when 7 is divided by v?
2
Suppose j + 2*k = 61, 0 = -j - 0*k + 2*k + 53. Calculate the remainder when j is divided by ((-6)/(-16)*-4)/(6/(-116)).
28
Calculate the remainder when 105 is divided by (-5 - (-462)/6)*2/4.
33
Let g(q) = q + 59. Let t be 371/(-14) - 1/2. What is the remainder when 221 is divided by g(t)?
29
Let l(b) = 166*b + 4. Let z be l(1). Suppose -z = 3*r - 20*r. What is the remainder when r is divided by 4?
2
Calculate the remainder when 97 is divided by (-17 +