der when a is divided by 150.
111
Suppose 78 = 2*r + 3*h, 0*r - 2*h - 88 = -2*r. Suppose 16107 = -38*p - 613. Let o = -429 - p. What is the remainder when r is divided by o?
9
Suppose 5*h = -q + 50 - 6, -2*h + 32 = q. Suppose 0 = -b + 3*c + 52, -q*c + 87 = b - 20*c. What is the remainder when 735 is divided by b?
65
Suppose 8*w - 13*w = 200. Let i(t) = -t + 46. Calculate the remainder when i(18) is divided by (96/w)/((-3)/20).
12
Let f(q) = 3*q**2 - 103*q + 297. Calculate the remainder when 237 is divided by f(32).
18
Let l be (-3 + -87 - -5)/1. Let c = 182 + l. What is the remainder when c is divided by 27?
16
Let h(k) = -k**3 - 4*k**2 + k + 4. Let c be h(0). Suppose -522 = -c*p - 154. What is the remainder when p is divided by 24?
20
Let c(d) = 2*d - 5. Suppose 4*p - 848 = 4*b, 5*b + 0*p = -2*p - 1060. Let w = b - -246. What is the remainder when w is divided by c(5)?
4
Suppose -4*o + 20 = -0*o. Let k be -4 - ((-4)/4 - o). Suppose 2*m - 66 = -2*n + 7*m, 2*n = k*m + 78. What is the remainder when n is divided by 9?
7
Suppose -8*n + 1092 = -n + 84*n. What is the remainder when 370 is divided by n?
10
Let w(k) = 4*k - 10. Let y be 4/(-10) - ((-6624)/45)/(-2). Calculate the remainder when w(7) is divided by (8 - 4)/(-16) - y/8.
0
Let n(u) = u**2 + u + 14. What is the remainder when 196 + -104 - (2/(-3)*3 + 11) is divided by n(0)?
13
Suppose 330 = -4*d + 10*d. Suppose 0 = -7*k - 52 + 164. What is the remainder when d is divided by k?
7
Let n(r) = -15*r**3 - 6*r**2 - 8*r - 6. Let y be n(-3). Suppose 747 = 6*v - y. Calculate the remainder when v is divided by 21.
18
Let l = 2454 - 1940. What is the remainder when l is divided by 63?
10
Let q = 6172 - 6154. Suppose -6 = -g + 3*i, -52 = -3*g - 5*i - 6. What is the remainder when q is divided by g?
6
Suppose -4*t + 2*n = -134, -35*n = -2*t - 33*n + 68. Calculate the remainder when 100 is divided by t.
1
Let b(r) = -831*r - 4977. What is the remainder when 107 is divided by b(-6)?
8
Let r = 24 + -24. Let a = -15 + 48. Calculate the remainder when a is divided by 42/((r - -3) + -1)*1.
12
What is the remainder when (-33)/(-44)*(2 - 1870/(-15)) is divided by 24?
23
Let x be (-2)/(-8) + 1979/4. Let u = 539 - x. What is the remainder when 48 is divided by u?
4
Let s(q) be the third derivative of q**5/60 - 7*q**4/24 - q**3 - 26*q**2. What is the remainder when 46 is divided by s(8)?
0
Let h = -1301 + 893. Let w be (h/22)/(-3) - 30/165. Suppose 3*l + 75 = w*l. Calculate the remainder when 47 is divided by l.
22
Let f(q) = -2*q**3 - 15*q**2 + 12*q + 63. Let y = 300 + -308. What is the remainder when 87 is divided by f(y)?
25
What is the remainder when 4035 is divided by (-4)/28*35 + (6 - -2)?
0
Let m = 70 - 25. What is the remainder when 15 is divided by (33/12)/((m/(-20))/(-9))?
4
Let f be 12 - 2 - (1 + 2). Suppose -3*k = -f*k + 240. What is the remainder when 24/k - (-826)/10 is divided by 17?
15
Let m = 74 - 77. Let z be 2/m*-6*(-15)/(-20). Suppose 4*p - 56 = z*v + 21, -5*v - 95 = -5*p. Calculate the remainder when p is divided by 17.
3
Let v be (2 - 2)/(37 + -33). Suppose -q + 4*u = 2, 2*q + v*q = -3*u + 51. Calculate the remainder when 51 is divided by q.
15
Calculate the remainder when 634 is divided by 119 + -75 - (-1)/1.
4
Let y(d) = -393*d - 81. Calculate the remainder when y(-3) is divided by 29.
25
Suppose -z + 766 = -4*s, -4*z + 732 + 28 = -4*s. Calculate the remainder when 3 is divided by s/(-21) + -8 - (-1)/(-7).
0
Let l = -305 - -311. What is the remainder when 131 is divided by 28 + (l - 1) + 1?
29
Let f(m) = -2*m**3 - 117*m**2 + 73*m + 845. Suppose 0 = -v - 0*v. Suppose v = -o + 86 + 7. Calculate the remainder when o is divided by f(-59).
17
Let c(f) be the second derivative of f**4/6 - f**3 - 5*f**2/2 - 7*f. Let d be c(10). Let z = -80 + d. What is the remainder when z is divided by 20?
15
Suppose -18367*o + 18363*o = -28. What is the remainder when 278 is divided by o?
5
Suppose 49 = 5*d - 61. Suppose -968 = -0*z - d*z. Calculate the remainder when 86 is divided by z.
42
Let v(l) = 29*l - 219. Let r be (-6)/(-10) - (-2726)/290. What is the remainder when 205 is divided by v(r)?
63
Suppose 0 = 2*d - 260 + 254. Suppose 2*s + d*s - 45 = 0. What is the remainder when 49 is divided by s?
4
Suppose 0 = 97*n - 10*n - 40826 + 12986. What is the remainder when n is divided by 25?
20
Suppose -j + 2 + 13 = 0. Suppose 139 = -0*k + 2*k - 5*o, -k + 65 = -o. Let b = k + -33. Calculate the remainder when b is divided by j.
14
Let r = -4794 + 5348. Calculate the remainder when r is divided by 243.
68
Suppose -5*z - 16*k + 12*k + 343 = 0, 3*k + 61 = z. Calculate the remainder when 200 is divided by z.
66
Suppose 0 = m - 5*n + 11, -5*m + 1 = -10*m - 2*n. Let z(j) = -28*j**2 - j. Let b be z(m). Let i = b + 32. Calculate the remainder when 19 is divided by i.
4
Let z(f) = -3*f + 28. Suppose 2*j + 5*q - 25 = 5, 0 = 3*j + 2*q - 23. What is the remainder when 205 is divided by z(j)?
10
Let j(s) be the second derivative of s**4/12 - 3*s**3 + 37*s**2 + 24*s. Calculate the remainder when 53 is divided by j(15).
24
Suppose -a - 948 + 3178 = a. Calculate the remainder when a is divided by 285.
260
Suppose -8*y - 801 = -13*y + 13*w, 0 = y + 2*w - 151. Calculate the remainder when 542 is divided by y.
77
Let q(d) = 0*d + 100 + 33*d + 16*d**2 + 4*d**2 - 15*d**2. What is the remainder when 456 is divided by q(-3)?
42
Let m be 3*(-3 - 0 - 2/(-6)). Let k(c) = c**3 + 9*c**2 + 4*c - 8. What is the remainder when 1/5 - (678/(-10) + -1) is divided by k(m)?
21
Suppose 23*v - 3612 - 9107 = 0. Calculate the remainder when v is divided by 15.
13
Suppose -54 - 87 = -4*r - p, 4*r = -3*p + 135. Let s = -60 + r. Let g = -5 - s. Calculate the remainder when g is divided by 5.
4
Let k = -301 + 175. Calculate the remainder when ((-3672)/k)/((-1)/(-7)) is divided by 69.
66
Let s(k) = -k**3 + 17*k**2 + 42*k + 4. Let v(a) = a**3 - 15*a**2 + 15*a + 5. Let j be v(14). What is the remainder when s(j) is divided by 27?
26
Suppose -4*b = 2*c - 2*b - 92, 0 = 2*c + 5*b - 77. Suppose -3*t - c = -99. What is the remainder when 173 is divided by t?
13
Suppose 2*u + 2*w = 86, 3*u - 94 = u - 4*w. Suppose -279 = -6*m + u. Calculate the remainder when m is divided by 6.
5
Suppose -2*t = -4*t + 66. Let z = 3326 + -3233. What is the remainder when z is divided by t?
27
Suppose -11*a - 2*a + 120876 = 29*a. What is the remainder when a is divided by 40?
38
Suppose -33 - 1 = -2*a + t, -2*a + 5*t = -42. Suppose 1308 = a*k - 132. What is the remainder when k is divided by 21 - (0 + -1 + -1)?
21
Suppose 6*s - 3*s + 218 = 680. What is the remainder when s is divided by 35?
14
Let y(n) = -n**3 - 29*n**2 + 58*n - 26. What is the remainder when y(-31) is divided by ((-264)/(-16) - 0)*2?
32
Suppose -3*h - 144 = -8*h - 3*y, 0 = 3*h - 2*y - 75. Calculate the remainder when 10880 is divided by h.
26
Let b = 60 + -36. Let w = 841 - 543. Let h = -239 + w. What is the remainder when h is divided by b?
11
Suppose -g = 3*u + 21, 9*g - 5*g = -4*u - 92. Calculate the remainder when (8/1)/(2 + 45/g) is divided by 23.
18
Let y(d) = -17*d + 12. Let t be y(0). Suppose 0 = -t*m + 28*m - 1136. Calculate the remainder when 204 is divided by m.
62
Let q(d) = 157*d + 1167. What is the remainder when q(-7) is divided by 11?
2
Let g = 447 - 330. Calculate the remainder when 221 is divided by g.
104
Let a(v) = 4*v**2 + 11*v - 27. Let y = 27 + -246. Calculate the remainder when (-1)/((-654)/y + -3) is divided by a(2).
7
Let k(b) = 14*b - 4. Let x be k(0). Let u be 24/(-30) - x/5. Let n(j) = -j**3 - j**2 + j + 18. Calculate the remainder when 52 is divided by n(u).
16
Suppose q - 2*d - 10 = 0, 3*d + 15 = -0*q - q. Suppose q = 4*b - 16 - 24. What is the remainder when 61 is divided by (1 - 96/(-10)) + 4/b?
6
Suppose g + 3*j = 4738, -3874 = 4*g - 5*j - 22928. Calculate the remainder when g is divided by 39.
37
Let a(d) = 9*d + 47. Let z be a(-6). Let q(w) = 7*w**2 + 0*w**2 + w**3 + 1 + 0*w - 3*w. Calculate the remainder when 87 is divided by q(z).
21
Suppose 29*x = 43*x + 3612. Let i = 317 + x. Calculate the remainder when i is divided by 30.
29
Let j = 9958 + -9957. What is the remainder when 15 is divided by j?
0
Let u(z) be the third derivative of z**4/24 + 2*z**3/3 - 15*z**2 + 1. Calcul