ppose -12966 - 3541 = -17*s. Suppose -4*t = -3*d + 961, 19*d + 2*t = 22*d - s. Calculate the remainder when d is divided by 47.
45
Suppose 3*j = -6, 10 = -2*x + 2*j + 142. What is the remainder when 1430 is divided by x?
22
Suppose 173 = 2*z - 3*g, 154*g = -z + 159*g + 104. Calculate the remainder when 367 is divided by z.
51
Let w be (0 + -6)*24/(-48). Suppose -w*m = -2*m + 3, m - 62 = -5*v. What is the remainder when 115 is divided by v?
11
Suppose -4*c + 57 = -99. Suppose -2*x - 13 = 4*m - x, -2*m + 4*x + 16 = 0. Calculate the remainder when c is divided by (9 + -3)/(m/(-7)).
18
Let h = -2201 + 2212. Suppose 2*i = -2*z + 102, 2*i = 7*i + 3*z - 245. Let y = i - h. What is the remainder when 69 is divided by y?
34
Let i(v) = 65*v. Let h(r) = -66*r + 1. Let k(j) = -5*h(j) - 6*i(j). Calculate the remainder when k(-2) is divided by 17.
13
Let o = -28761 + 37833. Calculate the remainder when o is divided by 15.
12
Suppose -3*l + 4 - 4 = 0. Suppose 31*b + 243 - 739 = l. Calculate the remainder when 131 + (-3 - -1) + -2 is divided by b.
15
Let k(t) = 2*t**3 + 14*t**2 - 10*t - 2. Let s(p) = p**2 - p. Let i(d) = -k(d) + 5*s(d). Calculate the remainder when (-10)/(-3) - 1/3 is divided by i(-5).
1
Let z(u) = -u**3 + 46*u**2 + 155*u - 299. Calculate the remainder when 1576 is divided by z(49).
88
Suppose 0 = 3*l + 3*q - 3399, -11*l - 9*q + 5637 = -6*l. Calculate the remainder when 2289 is divided by l.
9
Suppose 2*w - 23 = -13. Suppose -6*k = -k + w. Let f = k + 4. What is the remainder when f is divided by 1?
0
Let h be (1652/(-8))/((-5)/(-10)). Let m = -360 - h. Calculate the remainder when 76 is divided by m.
23
Suppose 13*p = -8 + 86. Let k(n) = 3*n**2 + 8*n - 7. Let w(z) = z**2 + 10*z + 39. Calculate the remainder when k(p) is divided by w(-4).
14
Suppose c - 6*c + 15 = 0, s + 4*c = 128. What is the remainder when s is divided by 36?
8
Let w(o) = -o**2 + 87*o - 1775. Let z = -3 + 112. Calculate the remainder when z is divided by w(52).
19
Let k = 8 + 0. Suppose 3*r - u = 23, 6*r - 4*u - 32 = 4*r. What is the remainder when (-261)/r*(-9)/(-27)*-2 is divided by k?
5
Let v(c) = 5*c**3 + 7*c - 3. Let d be v(2). Let a = -30 + d. What is the remainder when a is divided by 2?
1
Let k(m) = -37*m**2 + 899*m + 13. What is the remainder when k(24) is divided by 70?
67
Suppose 162 = 29*u + 17. Let n(b) = 3*b - 3. Let y be n(2). Suppose 4*j + 3*a = 4*a + 51, -42 = -3*j - y*a. Calculate the remainder when j is divided by u.
3
Suppose 105*x - 124219 = -248*x + 129941. Calculate the remainder when x is divided by 250.
220
Let f(x) = -27*x**3 + 221*x**2 + 5*x + 19. What is the remainder when 1139 is divided by f(8)?
2
Let k(i) = 2*i**3 - 5*i**2 - 11*i + 39. What is the remainder when 6746 is divided by k(6)?
221
Suppose -2*x = -24 + 4. Let f = 106 - 119. Let i = f - -49. Calculate the remainder when i is divided by x.
6
Suppose 635*i - 622*i = 4706. Calculate the remainder when i is divided by 73.
70
Suppose 0 = 4*a - 2*g - 0*g - 162, -4*g = a - 36. Let u = 131 + -114. Calculate the remainder when a is divided by 1 + u - 7/1.
7
Suppose 3*r - d = -5*d + 125, 3*d + 20 = r. Suppose 0 = -13*a - 14*a - 146*a + 23701. What is the remainder when a is divided by r?
32
What is the remainder when 2021 is divided by (-7)/(119/(-510)) - (-14)/(-2)?
20
Let m be (-2)/9 - 395/45. Let o = 9 - m. Suppose -3 = 5*i - o. Calculate the remainder when 7 is divided by i.
1
Let d(t) = 68*t - 16. Let j be d(4). Let a = j + -240. Suppose -5*x + 393 + 72 = 0. What is the remainder when x is divided by a?
13
Let m = -9 - -27. Let i(g) be the third derivative of -19*g**4/12 - 14*g**3 - 47*g**2. What is the remainder when i(-4) is divided by m?
14
Let a(k) = 61*k - 2481. Calculate the remainder when 1011 is divided by a(41).
11
Suppose -127*o + 613 = -149. Let t be -12*(10/(-4) + 2). Let k = o + t. Calculate the remainder when 57 is divided by k.
9
Let j = 3136 + -2862. What is the remainder when j is divided by 42?
22
Suppose -80*k + 18748 = 92*k. Calculate the remainder when 214 is divided by k.
105
Let z(t) = 4*t**3 - 154*t**2 + 82*t - 179. What is the remainder when 261 is divided by z(38)?
16
Let s be (-2 - -2) + 0 - -18. Let o(z) = z**3 + 3*z**2 + z. Let b be o(-1). What is the remainder when (3/1 + s)*(0 + b) is divided by 12?
9
Suppose p - h - 3*h - 259 = 0, 4*p - 4*h - 976 = 0. Suppose -p = -23*c + 83. Calculate the remainder when 38 is divided by c.
10
What is the remainder when (-10302)/(-25) + (-25)/(3125/10) is divided by 59?
58
Suppose h - 2 = 0, -2*a + 5*a - 24 = 3*h. Let v(f) = 6*f + 6. Let x be v(-4). What is the remainder when 3*(-1 + (-222)/x) is divided by a?
4
Let x(j) = j**3 - 104*j**2 + 140*j - 185. Calculate the remainder when x(103) is divided by 13.
12
Let r = -1352 - -673. Let c = 761 + r. What is the remainder when c is divided by 20?
2
Suppose 3*q = 2*f + 89, 3*q + 53 - 152 = -3*f. Calculate the remainder when 551 is divided by q.
24
Suppose -3*x = -5*w + w + 451, w = -x + 111. Suppose 3*t - 27 - 93 = -3*q, -3*t + q = -w. Let h = -29 + t. Calculate the remainder when 18 is divided by h.
0
Let c = -6288 + 7436. Calculate the remainder when c is divided by 7.
0
Let v(u) = 5*u**2 - 12*u - 5. Suppose 0*z + 2*z = 5*l + 200, -2*l = 4*z - 424. Calculate the remainder when z is divided by v(4).
24
Suppose 0 = 19*z + 35*z - 648. What is the remainder when 67 is divided by z?
7
Let m(i) = 8*i**2 - 19*i - 47. Let j(p) = -14*p + 151. Let z be j(11). What is the remainder when m(z) is divided by 31?
20
Let j = 1307 + -830. Suppose -j = -21*c + 741. What is the remainder when 136 is divided by c?
20
Let b(p) = 69*p - 3218. What is the remainder when b(72) is divided by 39?
34
Let l = 10998 - 10428. Calculate the remainder when l is divided by 275.
20
What is the remainder when (22/(-6))/(6/(-90)) is divided by 30/(-5*(-42)/70)?
5
Suppose 18452 + 9838 = 15*r. Let b = -689 + r. Calculate the remainder when b is divided by 25.
22
Suppose h - 5*q = -18, q + 0*q - 4 = 0. Suppose 7*z = h*z + 155. What is the remainder when 216 is divided by z?
30
Suppose 22*t - 18*t = -5*h + 52, -4*h = -4*t + 88. What is the remainder when 464 is divided by t?
14
Let a(d) = -198*d - 304. Calculate the remainder when 377 is divided by a(-2).
9
Suppose -53*g + 2264 = -17*g - 8680. What is the remainder when 309 is divided by g?
5
Let y(c) = -c**3 + 70*c**2 + 90*c - 1166. What is the remainder when y(71) is divided by 162?
21
Let h = 8320 + -7952. Calculate the remainder when h is divided by 143.
82
Suppose m = -u - 8 - 0, m + 35 = -4*u. What is the remainder when 44 is divided by (-4*u/6)/2?
2
Let n(r) = r**3 + 23*r**2 + 20*r + 40. Let d be n(-22). Let x = 97 - d. Calculate the remainder when -69*(21/(-9) + 2) is divided by x.
10
Let g be ((-92)/10)/(1/(-5)). Let c(n) = 8*n - 218. What is the remainder when c(g) is divided by 51?
48
Let q(m) = -50*m - 58. Let z be q(-2). Let h(j) = j**2 - 30*j - 79. What is the remainder when h(z) is divided by 61?
59
Let p(a) = a**3 - 16*a**2 + 32*a - 38. Let w = 76 - 62. What is the remainder when 143 is divided by p(w)?
17
Suppose -99*g + 4138 = -1604. What is the remainder when 741 is divided by g?
45
Let f(o) = 8*o**2 + 4. Let c be f(-2). Suppose 2*y = h - c, -y + 0*y = -h + 36. Suppose 128*b + h = 130*b. What is the remainder when 161 is divided by b?
17
What is the remainder when 68 is divided by -74 + 80 + (52 - 1) + 2?
9
Let y be (6 - 0) + 26 + 4 + -3. Suppose 9*f - 2436 = -y*f. What is the remainder when f is divided by 22?
14
Suppose -25*c - 261 = 26*c - 1485. Calculate the remainder when 5685 is divided by c.
21
Suppose -477*u + 367*u = -79090. What is the remainder when u is divided by 389?
330
Suppose 3*r + 28 = 7*r + 2*g, -2*g + 10 = 2*r. Let u = r - 5. Let o(y) = 2*y**3 + 8*y**2 + 3*y + 3. Calculate the remainder when o(-3) is divided by u.
0
Let o(n) = 6*n**3 - 12 + 4*n**2 - 12*n**2 - 7*n**3 - 2*n. Let d = -355 + 370. Calculate the remainder when d is divided by o(-8).
3
Let z be 3/(-9*5/(-30)). Let p(s) = -4*s**3 + 3*s**3 + 7*s**2 - 8 - 2*s**3 + z*s**3 - 5*s. Calculate the remainder when p(5) is divided by 5.
2
Let j = -4687 + 4702. What is the remainder when 657 is divided by j?
12
Let y(g) = 2*g**2 + 134*g + 780. What is the remainder when y(-62)