12)/((-91)/45 + 2). Suppose 4*s - r - 219 = 0, -s - r + y = 4*r. Calculate the remainder when s is divided by -8*(-10 - -10 - (-14)/(-4)).
27
Suppose 3*m = -3*r + 2*r - 331, 5*r - 137 = m. Let g = m - -187. Calculate the remainder when g is divided by 2/30 - (-5975)/375.
11
Suppose -5*g = 5*s - 35, -4*s + 1 = -6*g + g. Suppose 3*j + 412 = -5*y, g*j + j + 580 = y. Calculate the remainder when 69 is divided by (j/(-20))/(4*3/40).
21
Let j be ((-2)/(-1))/(8 - 7). Suppose -v - 5*c = -32, 3*v - c - 96 = -j*c. What is the remainder when 89 is divided by v?
25
Let l = -7471 + 8417. Calculate the remainder when 1910 is divided by l.
18
Let g = -103 - -107. Suppose -3*w - w - 4 = -v, 4*v = g*w + 28. Suppose -l + 20 = -v. What is the remainder when l is divided by 13?
2
Let d = -25 - -39. Let o(v) = -3*v**3 - 14*v**2 - 68*v - 32. What is the remainder when o(-4) is divided by d?
12
Suppose -37*b = -30*b - 1204. Calculate the remainder when b is divided by 22.
18
Let k = 21659 - 21517. What is the remainder when 233 is divided by k?
91
Let u = -253 - -246. Let t(p) = 2*p + p - 5*p - p. What is the remainder when 59 is divided by t(u)?
17
Suppose -27*w = -40*w + 4030. Calculate the remainder when 14 is divided by (3/5 + w/(-100))*-2.
4
Let y(r) = 34*r**2 + 2*r + 6. Calculate the remainder when y(-3) is divided by (-2)/(-2) - (-4 + -57).
58
Let c be (-7021)/77 + 8/44. Calculate the remainder when (c/21 - -5)/((-1)/(-294)) is divided by 6.
4
What is the remainder when -6 - 305/(-50) - 1439/(-10) is divided by 7?
4
Suppose 24 = -5*a + 79. Let b = a - -12. Let l(c) = -c**3 + c**2 + 12*c + 13. What is the remainder when l(-4) is divided by b?
22
Let y(d) be the first derivative of -d**4/2 + 5*d**3 - 3*d**2 - 7*d - 113. Let z = 6 + 0. Calculate the remainder when y(z) is divided by 17.
14
Suppose 130*m - 136*m = -24. Suppose 53 = m*l - w - 64, 3*w = 9. What is the remainder when 119 is divided by l?
29
Let a = -24 - -31. Suppose -o - 23 = -5*g, -4*o - 6 = -a*o. What is the remainder when (-534)/(-24) - (-2)/(-8) is divided by g?
2
Let y be (1 + -1)/((5 - 4)*-1). Suppose y = u - 3*u + 22. Calculate the remainder when u is divided by 6.
5
Suppose 0 = -5*c + n + 639, 4*c + 5*n - 367 - 121 = 0. Let u = 249 - c. Calculate the remainder when u is divided by 31.
29
Calculate the remainder when ((-33)/55)/((-7)/8295) is divided by 51.
48
Suppose 2*a = a + 26. Suppose 165 = 19*x + 70. Suppose -5*p + 22 = 3*i - x, 0 = 3*p + 3*i - 15. What is the remainder when a is divided by p?
2
Suppose -45*m - 495 + 2970 = 0. Calculate the remainder when 833 is divided by m.
8
Suppose 5*a - 2*a + o = 16, 60 = 5*a - 5*o. Suppose -12 = -3*v, -a = k - 4*v - 23. Calculate the remainder when k is divided by 18.
14
Let f = 53 + -95. Let l = f - -73. Let r(y) = -7*y - 10. Calculate the remainder when l is divided by r(-3).
9
Let t be (-1)/3*-3 + -1. Suppose 38 = u - t*u. What is the remainder when (1208/12)/(32/48) is divided by u?
37
Suppose 10*r + 11*r - 126 = 0. Suppose m = -5*k - 10, 5*m - 2*k + 10 = -7*k. Suppose 17*h - 4*h - 351 = m. Calculate the remainder when h is divided by r.
3
Let z = -151 - -148. Let g(m) = -11*m**2 - 6*m + 5. Let r(c) = -4*c**2 - 2*c + 2. Let w(i) = -3*g(i) + 8*r(i). What is the remainder when 7 is divided by w(z)?
3
Let h(q) = q**2 - 15*q - 605. What is the remainder when 730 is divided by h(-21)?
126
Let s = -49 + 56. Suppose 3*q + 2*l - 73 = 0, -l = -s*q + 4*q + 58. Calculate the remainder when 229 is divided by q.
19
Suppose -886*h + 891*h + 3*q - 366 = 0, 2*q = -4*h + 296. Calculate the remainder when h is divided by 28.
22
Suppose -4*z + 706 = -2*z + 2*i, 2*z = -4*i + 708. Let m = z + -163. What is the remainder when m is divided by 16?
13
Let v(z) = 0*z - z + 7 + 2*z + 10. Let s = 56 + -56. Calculate the remainder when 50 is divided by v(s).
16
Suppose -6*z + z + 1745 = 4*v, -1750 = -5*z - 5*v. Calculate the remainder when z is divided by 98.
51
Suppose 106 + 431 = 3*v. Let f(b) = 11*b**2 - 546*b + 389. Calculate the remainder when v is divided by f(49).
41
Let w = -2524 - -2602. What is the remainder when 471 is divided by w?
3
Let p be (21 - 6)*(-18)/(-30). Let w(o) = 6*o - 18. Let g(d) = -12*d + 37. Let n(z) = 4*g(z) + 9*w(z). Calculate the remainder when n(p) is divided by 7.
5
Suppose -2*p = 5*h - 36, 2*p + 14 - 94 = 6*h. Calculate the remainder when 104 is divided by p.
20
Suppose 6*t = 2629 + 749. Suppose -568*u + 80 = -t*u. Calculate the remainder when 107 is divided by u.
11
Suppose 2*y + 123 + 325 = 10*y. Calculate the remainder when 795 is divided by y.
11
Let z = 916 - 912. What is the remainder when 1 + (-7056)/(-153) + z/(-34) is divided by 19?
9
Let a(x) = 3*x**2 - 10*x + 22. Let o be a(14). Suppose 4 = l - 3*p - 5, 3*p + 9 = -4*l. Suppose l*c = 10*c - o. What is the remainder when c is divided by 16?
15
Suppose -199 = 9*s - 577. Let z(w) = 8*w - 280. What is the remainder when z(s) is divided by 3?
2
Let g = -94 - -60. Let d = g - -38. Suppose d*m + 3*k = 67 + 5, k = m - 25. Calculate the remainder when 104 is divided by m.
20
Let n(l) = -3*l + 4. Suppose -449 + 37 = -2*b + z, 4*z = -8. Calculate the remainder when b is divided by n(-13).
33
Let s(z) = z**2 - 123*z + 1750. What is the remainder when s(114) is divided by 55?
9
Let m = -28755 + 28860. Calculate the remainder when 122 is divided by m.
17
Let y(x) = -16*x + 27. Let j(p) = 49*p - 79. Let f(c) = -3*j(c) - 8*y(c). What is the remainder when 32 is divided by f(0)?
11
Let a be (-2240)/(-45) - 8/(-36). Let s = a + 35. Calculate the remainder when s is divided by 25.
10
Let n = 4806 - 4783. Let h = 35 + -2. What is the remainder when h is divided by n?
10
Let u(t) = 3*t. Let n be 20/(-2)*(-11)/22. Let f = n - 3. What is the remainder when 22 is divided by u(f)?
4
Suppose -2*v + 2*h = -3012, 8*h - 5*h - 1506 = -v. Calculate the remainder when v is divided by 723.
60
Let i(b) = b**2 - 2*b - 3. Let s(f) = f**3 + 6*f**2 - 2*f - 7. Let c be s(-6). What is the remainder when (-2 - 120/(-57)) + 287802/5149 is divided by i(c)?
8
Let q(l) = -14*l**3 - l**2 + 17*l + 4. What is the remainder when q(-4) is divided by 269?
9
Let m = 288 + -410. Let g = m - -176. Calculate the remainder when g is divided by 16.
6
Let k = 5919 + -5896. Let s = -10 + 26. Calculate the remainder when k is divided by s.
7
Let r(d) = -2*d - 18. Let s be r(0). Let x = 1 - s. Suppose -14 + x = z. What is the remainder when 7 is divided by z?
2
Suppose 6*v + 110 - 211 = 427. Calculate the remainder when v is divided by 15.
13
Let i = -29 - -15. Let h(o) = o**3 + 13*o**2 - 17*o + 2. What is the remainder when h(i) is divided by 35/21 - 95/(-15)?
4
Suppose -5*m + 2*i - 26 = -67, 4*m = 5*i + 43. Let q(y) = -y**2 - 72*y + 4 + 6 + 37*y - 2 + 43*y. What is the remainder when q(m) is divided by 8?
7
Suppose -3*m = 5*v - 288, -2*m + 163 = 5*v - 124. Suppose d + 3*i = 4 + 2, 0 = -4*d - i + v. Calculate the remainder when 59 is divided by d/2*(-12)/(-15).
5
Suppose -35*l + 7*l + 910 + 434 = 0. What is the remainder when 1613 is divided by l?
29
Let d(j) = 45*j + 7. Let x be d(-1). Let g be -1*(x + -3 + -1)*-1. Let s = g - -107. What is the remainder when s is divided by 17?
14
Let p = 4860 - 4858. Suppose -n = a - 81, 0*a + 5*n = -4*a + 329. Suppose -x + 76 = x + 5*c, a = p*x - 5*c. Calculate the remainder when x is divided by 8.
6
Suppose -73*i + 1120 = -45*i. What is the remainder when i is divided by 4?
0
Suppose 43*k - 120 = 39*k. Suppose 32*c - 240 = 17*c. What is the remainder when k is divided by c?
14
Let b = 3363 - 3346. What is the remainder when 1783 is divided by b?
15
Let a(g) = g**3 + 18*g**2 - 180*g - 38. What is the remainder when a(-25) is divided by 85?
2
Let o = 326 - 320. Let k(d) = -27*d + 201. What is the remainder when 191 is divided by k(o)?
35
Let z(l) = 6*l**2 + 1. Let w be z(1). Suppose -2*a = a - w*a. Suppose -4*k + 24 + 0 = a. What is the remainder when 41 is divided by k?
5
What is the remainder when 3 + 0 - (-43 - 3) is divided by (-14)/((-168)/108) - 3?
1
Suppose 0*d - 2*w + 18 = 2*d, 0 = 5*w - 10. Suppose d*s - 530 = 2*s. What is the remainder when s is divided by 12?
10
Let q be -6 - (-5 - -14 - -299). Let a = q + 446. What is the remainder when a is divided by 48?
36
Let p = -25699 - -26357.