ose d = -4*k + 9*k. Calculate the remainder when k is divided by q.
9
Suppose -12*s = 2*s - 4270. Let y = s + -279. Calculate the remainder when 335 is divided by y.
23
Let r(j) = -17 + 488*j + 6 + j**2 - 479*j. What is the remainder when r(6) is divided by 14?
9
Let a(z) = 45*z + 5845. Calculate the remainder when a(-118) is divided by 42.
31
Suppose -4*b = -m - 41, 0*m - 13 = -2*b + 3*m. Let r(i) = -25*i**2 - 219 + 9*i + 234 + 26*i**2. What is the remainder when b is divided by r(-8)?
4
Let x(q) = 6*q**2 + 386*q + 1896. Calculate the remainder when x(-5) is divided by 99.
17
Suppose -624*a = -616*a - 10928. Suppose -9084 = -a*m + 1354*m. Calculate the remainder when m is divided by 40.
37
Suppose -2*k - 2*q + 5*q = -191, -4*k + 4*q + 376 = 0. Calculate the remainder when 174 is divided by k.
83
Let a = -1606 + 1652. Let n = 7 - 1. Calculate the remainder when a is divided by n.
4
Suppose -3*a - 22*f = -20*f - 108, -3*a + 2*f = -84. What is the remainder when 2622 is divided by a?
30
Let x = -4079 - -4154. Let w(k) = -k**3 - 10*k**2 + 9*k - 4. What is the remainder when x is divided by w(-11)?
3
Calculate the remainder when 9/(-36) + (-1)/((-8)/282) is divided by ((-9)/(-4) - 25/5)*-4.
2
Let g(i) = 2*i**3 + 83*i**2 + 27*i + 93. What is the remainder when g(-41) is divided by 25?
17
Suppose -15*l = -4*l - 8*l - 2232. Calculate the remainder when l is divided by 363.
18
Let b = -955 - -1427. What is the remainder when b is divided by 11?
10
What is the remainder when 20/(-310) - (-405)/31 is divided by 11?
2
Suppose -3*d = 2*i - 94 - 5, -3*i = d - 138. Let f = -20 + i. Calculate the remainder when 123 is divided by f.
23
Let y be (-2)/12*1 + (-11420)/(-120). Suppose 0 = 2*z + y - 289. Suppose z = -16*b + 17*b. What is the remainder when b is divided by 25?
22
Suppose -3*m + y = -275, -5*m + 280 = -2*m + 4*y. Let s = -37 + m. Let a = s - 37. Calculate the remainder when a is divided by 10.
8
Suppose 5*t + 6 = -19. What is the remainder when 6/((-4)/260*t) is divided by 21?
15
Suppose 0 = 3*a - 5*a - 2*n - 768, 4*a = 5*n - 1572. Let s = 486 + a. Calculate the remainder when s is divided by 17.
13
Let n be (-20)/15*3*-1. Let y(c) = 3*c**2 + 5*c - 1. Let m(i) = -3*i**2 - 6*i. Let w(u) = 5*m(u) + 6*y(u). What is the remainder when w(n) is divided by 11?
9
Let c(x) = -6*x**2 - 6*x - 13. Let s(q) = q**2. Let o = 35 + -36. Let p(w) = o*c(w) - 5*s(w). Calculate the remainder when 35 is divided by p(-6).
9
Suppose 80*r + 44 = -36. Suppose -5*c = -c - 4. What is the remainder when (c - r)*1110/12 is divided by 47?
44
Suppose 6*i - 20 = 11*i, 0 = 3*u - 4*i - 1768. Let d = 635 - u. What is the remainder when d is divided by 37?
14
Let h(q) = -14*q - 178. Calculate the remainder when 3725 is divided by h(-14).
17
Let n(o) be the third derivative of -5*o**4/8 - 21*o**3 + o**2 - 6*o. Calculate the remainder when 113 is divided by n(-11).
35
Let t = -63 - -109. Calculate the remainder when 3125 is divided by t.
43
Let h = 30843 - 30832. Calculate the remainder when 32636 is divided by h.
10
Suppose o + 52 = 5*o + 5*l, 2*l + 26 = o. Let t be ((-6)/o)/(3/(-9)). What is the remainder when t/(3/57) - 0 is divided by 12?
7
Let j = 1667 - 1517. What is the remainder when 588 is divided by j?
138
Suppose -6*u - 30 = 0, 130*b - 132*b + 139 = 5*u. What is the remainder when 380 is divided by b?
52
Let x = 185 - 180. Suppose -x*r - 13 = -s, -16*s = -11*s - 2*r - 157. What is the remainder when s is divided by 7?
5
Let o = -18948 + 18963. What is the remainder when 464 is divided by o?
14
Let r be ((-11)/2)/11 - (-783)/6. What is the remainder when (-2)/8 - (r/(-8))/5 is divided by 2?
1
Let z(k) = k**3 + 6*k**2 - 32*k + 6. What is the remainder when 370 is divided by z(4)?
28
Let j = -5724 - -5725. Let f = 38 + -10. Calculate the remainder when f is divided by j.
0
Suppose 54*q = 35*q + 76. Suppose -891 = q*h + d - 4831, 3*d + 3924 = 4*h. What is the remainder when h is divided by 47?
44
Let i be (9/(-2))/1*100/(-15). Let m = 38 - i. Suppose -3*r = 4*z - 96, m*r = 3*z + 3*r - 43. Calculate the remainder when 37 is divided by z.
16
Suppose 2*x - 17 - 3 = 0. Let k(n) = -n - 16. Let t be k(x). What is the remainder when 30 is divided by t/(-3) + 2/6 + -1?
6
Suppose 2*o + 68 = g, 5*g - 68 = 4*g - 3*o. What is the remainder when 336 is divided by g?
64
Suppose -4*f = 11 + 5. Let g be f + 4 + 10/(1 - -1). Suppose -p = -g*p + 44. Calculate the remainder when p is divided by 6.
5
Let r(o) = 25*o + 225. Let u(m) = 25*m + 226. Let z(x) = -3*r(x) + 2*u(x). Calculate the remainder when z(-11) is divided by 9.
7
Let x(s) = 2*s + 6. Let m = -57 - -51. Let o be x(m). What is the remainder when 86 is divided by o*(21/9 - 2) - -31?
28
Suppose -23*a = -18*a - 545. Suppose -5*h - 3*d = -103 + 516, 0 = -5*d - 5. Let j = a + h. What is the remainder when 52 is divided by j?
25
Suppose -43 - 287 = -22*f. Let m be 3 + -5 + 0/(-1). What is the remainder when f is divided by (m - (-1 + 2))/(-1)?
0
Let t(j) = j**2 + 7*j + 10. Let i be t(-10). Suppose 2*f + 0*f = c - i, 0 = 2*c + 3*f - 59. Let q(o) = o - 2. What is the remainder when c is divided by q(9)?
6
Let l = -9835 - -14589. Calculate the remainder when l is divided by 183.
179
Let f(t) = t**2 - 29*t - 65. Let n be f(33). Let o = 182 - n. What is the remainder when o is divided by 30?
25
Let t(h) = -h**3 + 7*h**2 + 43*h + 24. Let i be t(11). Suppose i*r - 2*r - 759 = 0. Calculate the remainder when 135 is divided by r.
66
Suppose -7 = -2*o + 73. Suppose 15 = 5*d, -3*k + d + o = -5. Suppose 0 = -x - 0*x - 5*l + 59, -4*x + 236 = l. What is the remainder when x is divided by k?
11
Let h be (-3*2/(-5))/(8/40). Suppose -3*d - 3*x = -246, -11*x - 430 = -5*d - h*x. Let y = 19 - -10. Calculate the remainder when d is divided by y.
26
Suppose 0 = -4*v - 3*g - 78 + 964, 3*g + 898 = 4*v. Calculate the remainder when 720 is divided by v.
51
Suppose 8*o = 11*o - 15. Suppose -5*z + 3*z - 5*g = 28, o*z + 8 = 3*g. Let c(i) = 7*i**2 + 6*i + 6. What is the remainder when c(z) is divided by 24?
22
Suppose -42*n + 44*n = -242. Let r = n - -208. Calculate the remainder when r is divided by 13.
9
Suppose -4*p - 6137 - 14322 = -5*q, 0 = q + 6*p - 4119. What is the remainder when q is divided by 128?
127
Suppose 3*j - 9 = -o, 2*j = 6*j - 3*o - 12. Suppose -1 + 9 = 4*n. What is the remainder when j is divided by n?
1
Let m(d) = 191*d + 4754. What is the remainder when m(9) is divided by 127?
123
Suppose -4*t + 13*r - 9*r + 1000 = 0, -t = -4*r - 256. Calculate the remainder when t is divided by 39.
14
Suppose -48*x - 1097 = -43*x + 4*a, 5*x + 1109 = 2*a. Let c = x + 238. What is the remainder when 83 is divided by c?
15
Suppose -28 = -w - 5*k, -3*w + 19 = -2*k - 14. Suppose -6*v + 4*v + 232 = 0. Let u = -112 + v. What is the remainder when w is divided by u?
1
Let c = -5150 + 5210. What is the remainder when 1856 is divided by c?
56
Let r = 105 - 68. Suppose 0 = -21*v + 7*v + 182. Let h = v + 6. What is the remainder when r is divided by h?
18
Suppose 61*u - 7340 = 111*u - 60*u. Calculate the remainder when u is divided by 107.
92
Suppose -4*i + 0*i + 156 = 0. Suppose -2*a + 117 = 5*b + 46, -2*a = 4*b - 56. Calculate the remainder when 0 + 2/(2/i) is divided by b.
9
Suppose 4*v - 7*l + 5*l + 1298 = 0, 2*v - 4*l = -646. Let m = -314 - v. Calculate the remainder when 31*(-1)/(-2)*2 is divided by m.
9
Suppose 87 = 18*j - 93. Suppose -j*w + 172 = -118. What is the remainder when 51 is divided by w?
22
Let b be -3*(-9)/(216/4288). Suppose 4*a = 3*x + b, a - 5*x - 151 = -0*a. Calculate the remainder when a is divided by 69.
62
Let x(k) = -k - 8. Let g be x(-13). Suppose -2*u + 59 = g. Calculate the remainder when u is divided by -2*(-5 - -11 - 10).
3
Let v(i) = i**2 - 8*i - 16. Suppose -5 = 5*j - 0*j, -65 = -5*b + 5*j. What is the remainder when 479 is divided by v(b)?
31
Let a(w) = 18*w - 16. Calculate the remainder when a(66) is divided by 23.
22
Let v = 97 - 74. Suppose -2 = 5*z + 3*j - v, -23 = -5*z - 4*j. What is the remainder when 129 is divided by 1/z + (-196)/(-18)*3?
30
Suppose 2*g - 476 = -3*w, 3 = -4*g + 7. Let f = w - 108. Suppose 2 = -6*n + f. Calculate the remainder when 69 is divided by n.
5
Let g(h) = 1082*h - 10313. Calculate the remainder when g(10) i