 4*n = -h. Calculate the remainder when 178 is divided by -3 - (2 + n + 1).
28
Let b(u) = -u - 12. Let g(x) = 6*x**2. Suppose 9 - 4 = -5*d. Calculate the remainder when b(-21) is divided by g(d).
3
Let v(z) = -z**3 + 7*z**2 + z + 10. Let m be v(6). Suppose 4*c - 76 = m. Calculate the remainder when 219 is divided by c.
27
Let w(i) = 3*i**3 + 2*i**2 - 4*i**3 + 3*i**2 + 1 - 3*i. Let a be (-204)/153*(-1 + 2/(-4)). Calculate the remainder when 13 is divided by w(a).
6
Let w(q) = -2*q**3 - 4*q**2 + 18*q + 26. What is the remainder when 150 is divided by w(-4)?
6
Let c(d) = -344*d**3 + 13 - 38*d - 344*d**3 - 10*d**2 + 689*d**3. Calculate the remainder when 151 is divided by c(13).
21
Let c be (-135)/(-2) + (-1)/2. Suppose c = 3*a - y, -2*y + 11 + 23 = 2*a. What is the remainder when (-2040)/(-14) + 6/a is divided by 37?
35
Let f be -10 - (8 + -16) - 568. Let t = f - -584. Calculate the remainder when 39 is divided by t.
11
Suppose -4*m = 4*t - 48, -4*m + 5*t + 50 = m. Suppose -2*s - j + m = -0*j, 5*s - 3*j = 33. Calculate the remainder when (-2)/s - (-1715)/15 is divided by 39.
36
Let y = 1261 + 963. Suppose -18*f = -2*f - y. Calculate the remainder when f is divided by (-3 + 5)/((-4)/(-70)).
34
Let t = 251 + -250. Let x(k) = 121*k**3 - k**2 + 3*k - 3. What is the remainder when x(t) is divided by 39?
3
Let v = -582 - -584. Suppose 5*a - 4*a = -v*x + 257, -2*x + a + 267 = 0. What is the remainder when x is divided by 61?
9
Suppose -5*j - 130 = -5*i, -38 = -3*i - 4*j + 40. Let r(k) = 70*k**2 - k. Let u be r(-1). Let v = u + -61. What is the remainder when i is divided by v?
6
Let v(i) = 25*i**2 + 14*i - 7*i - 124 - 2*i**3 + 108. Calculate the remainder when v(10) is divided by 20.
14
Suppose -129 = -2*c - 5*q, -3*c + 2*q + 165 = -0*q. Let m = -265 - -277. Calculate the remainder when c is divided by m.
9
Let a(z) = 29*z**2 + 6*z - 6. Let k = -99 - -100. Calculate the remainder when 257 is divided by a(k).
25
Suppose -2*y = -g + 16, 21*g - 4*y + 10 = 26*g. What is the remainder when 261 is divided by g?
3
Suppose 8 = -4*q + 20. Suppose 0*g - 261 = -q*g - d, -4*d + 261 = 3*g. Suppose -g*i - 99 = -90*i. What is the remainder when 42 is divided by i?
9
Let l = -143 - -159. Suppose -3 = -3*f - 2*y - 5, 2*f + 5*y + l = 0. Calculate the remainder when 3 is divided by f.
1
Let p(y) be the second derivative of -y**4/6 - 9*y**3/2 - 15*y**2 - 48*y. What is the remainder when 22 is divided by p(-12)?
4
Suppose -2*o = 5*b - 8, 13 = 8*o - 7*o - 2*b. Calculate the remainder when 458 is divided by o.
8
Suppose 22*u - 4*q + 1816 = 25*u, 0 = 5*u - 3*q - 3017. Calculate the remainder when u is divided by 10.
4
Let u be 5 - ((-27)/(-12) + 6/8). Suppose -2*b - t - 19 = -b, 4*b = u*t - 46. Calculate the remainder when 50 is divided by ((-36)/b)/(-2 + (-30)/(-14)).
14
Suppose -2*o - 16 = -3*o. Suppose -12*q + 676 = -860. Suppose 5*m + 11*i = 10*i + 303, 3*i = 2*m - q. What is the remainder when m is divided by o?
13
Let y(h) be the second derivative of h**4/12 - h**3/6 + 81*h**2/2 + 25*h. What is the remainder when y(0) is divided by 7?
4
Suppose -10*i = -5*i - 5*a - 220, -3*a + 188 = 5*i. What is the remainder when i is divided by (-1 + 32/20)*(9 - -11)?
4
Let z be (-5)/((-5)/(-3)) + 8 + -5. Suppose -4*h + 3*r + 549 = z, -2*r - 3*r = -5. Calculate the remainder when h is divided by (2/(-6))/(10/(-1050)).
33
Suppose -5*u + 7*u = -3*g + 28, 4*g - 5*u = -1. Let c = -9 - -12. Suppose 0 = -c*f + g*f - 42. Calculate the remainder when f is divided by 5.
4
Suppose 8*w + n - 111 = 4*w, -3*w = n - 84. Suppose -w*s + 1059 = 87. What is the remainder when 70 is divided by s?
34
Suppose 0 = -65*z + 51*z + 140. Calculate the remainder when 866 is divided by z.
6
Calculate the remainder when 4404*(-17)/(-68) - 13 is divided by 52.
48
Let v = -4373 + 7834. Calculate the remainder when v is divided by 8.
5
What is the remainder when ((-25910)/(-12))/5 - ((-944)/(-96) + -10) is divided by 69?
18
Suppose -2 = 3*f + 4. Suppose -3*x + 8*x = 60. What is the remainder when 26 is divided by x + 8/2 + f?
12
Let j(v) = -4*v + 28*v**2 - 3*v + 13*v - 11*v + 1. What is the remainder when j(-2) is divided by 25?
23
Suppose 2*f = 2*y + 40, -f = -5*y - 9 - 3. Let s(t) = t**3 + 9*t**2 - 38. What is the remainder when s(-5) is divided by f?
18
What is the remainder when 407 is divided by 196/(-35)*30/(-21)?
7
What is the remainder when 54344 is divided by (-26)/(-12) + (-1127)/(-42)?
27
Suppose 99 = -2*r + 3*d, 21*d + 93 = -2*r + 26*d. Let v = 108 + r. Calculate the remainder when v is divided by 24.
6
Suppose 557 + 961 = 23*r. Suppose r*h + 96 = 74*h. What is the remainder when 33 is divided by h?
9
Suppose 2*f - 2*o - 3*o - 27 = 0, -4*o = -12. Let m(t) = t**2 - 2*t + 4. Let v be m(3). Let h = f + v. Calculate the remainder when 108 is divided by h.
24
Calculate the remainder when ((-16)/104 - (-345)/(-39))*(-243)/9 is divided by 105.
33
Suppose 0 = 19*x - 1147 - 5522. Calculate the remainder when x is divided by 172.
7
Let f be (4 - 3 - 0)/1. Let j be (4 - (f + 1)) + (13 - 0). Suppose -2*l + j = -5. What is the remainder when 16 is divided by l?
6
Suppose 3*y = -y + 72. Let j(c) = 2*c**3 - 2*c + 34. What is the remainder when j(0) is divided by y?
16
Calculate the remainder when (82 + -71)/(2/86) is divided by 40.
33
Let r = 281 - 307. Let u = 35 - r. Calculate the remainder when u is divided by 27.
7
Let c be (-1 + 50)*(-1360)/(-56). Let f = -442 + c. What is the remainder when f is divided by 7?
6
Suppose 3*b + 12 = 0, b = 2*a + 1 - 15. Let t be (-6)/45 + (-731)/255. What is the remainder when (26 + 1)*(t - (-52)/13) is divided by a?
2
Suppose q - 106 = -5*m, -31 = q - 2*m - 144. Calculate the remainder when q is divided by 39.
33
Let t(u) = -u**2 + 6*u + 2. Let q be t(8). Let m = -1051 - -1080. What is the remainder when m is divided by 270/14 - q/(-49)?
10
Let a(m) = m**3 - 19*m**2 + 37*m - 199. What is the remainder when a(18) is divided by 49?
45
Let k(a) = -16*a + 161. Suppose 5*w + 24 = 5*g + 84, -4*w - 2*g = -30. Calculate the remainder when 148 is divided by k(w).
12
Let s = -2380 - -2390. What is the remainder when 28 + 1/((-2)/2) is divided by s?
7
Let i = 67 + -47. Let n(m) = m**3 - 14*m**2 - 13*m - 24. What is the remainder when i is divided by n(15)?
2
Let i(k) = 14*k + 8*k - 755 + 1112. What is the remainder when i(0) is divided by 20?
17
Let s = 139 + -41. Suppose -68*t + 3*h - 174 = -73*t, -4*t = -4*h - 120. Calculate the remainder when s is divided by t.
32
Suppose -2*v - q = -24, 2*v + v = 4*q + 36. Let t(x) = 3*x**2 - 21*x - 39. What is the remainder when t(v) is divided by 13?
11
Let d = -2 - -4. Suppose 2*y + 25 = d*k + 75, 13 = -k - 2*y. Calculate the remainder when 85 is divided by (-22)/(1 + 0 + k/14).
41
Let n(a) = 11*a - 296. Let s be n(25). What is the remainder when 167 is divided by (6 - 28/6)*s/(-2)?
13
Let d(p) = -2*p**3 - 44*p**2 - 80*p + 10. What is the remainder when 108 is divided by d(-20)?
8
Let g be (-5)/(-15*5/45). Suppose 321 = 5*t - u, -179 = -g*t + 21*u - 17*u. Suppose -3 + 20 = n. Calculate the remainder when t is divided by n.
14
Let r(s) = -s**3 - 2*s**2 + 6*s - 17. Let c be r(-6). Let q = 114 - c. Let p(k) = -16*k - 16. What is the remainder when p(-8) is divided by q?
20
Let v = -281 - 46. Let l be (-4)/(v/(-111) + -3). Suppose 0 = 8*t - l - 174. What is the remainder when t is divided by 11?
9
Let p be ((-2)/3 + 1)/((-3)/9). Let u be p*137*(-3 + (3 - 2)). Let v = u + -153. What is the remainder when v is divided by 25?
21
Suppose -5*f + 7*f = -5*h + 733, 4 = -4*f. Let a = h - 104. Calculate the remainder when a is divided by 14.
1
Let w = 31972 - 27153. Calculate the remainder when w is divided by 83.
5
Let u(t) be the third derivative of t**5/15 + t**4/12 - 2*t**2. Suppose -25*z + 232 = -3*z - 54. What is the remainder when u(-5) is divided by z?
12
Suppose -3091 + 2737 = -123*m + 5181. What is the remainder when 1517 is divided by m?
32
Let h be (-128)/(-2 - -4) + -1. Calculate the remainder when 97 is divided by (-182)/h*(-70)/(-4).
48
Suppose i = -s + 213, 1298 = 3*i - 3*s + 641. Calculate the remainder when 430 is divided by i.
214
Let x(n) = n**3 - 5*n**2 - 14*n - 11. Let q be x(7). Let f(r) = -r**3 - 13*r**2 - 23*r + 1. Calculate the remaind