-2*z + n = -3. Calculate the remainder when 45 is divided by z/(-3)*-6 + 8.
9
Suppose 695 = -12*g + 3899. What is the remainder when g is divided by 102?
63
Let z = -8 + 10. Let t(r) = -r**2 - r. Let j(m) = 16*m**2 - 4*m + 1. Let b(g) = j(g) - 5*t(g). Calculate the remainder when b(z) is divided by 30.
27
Suppose -4*s + 48 = 5*l - 96, -4*l + 108 = -4*s. Let u = l + 22. What is the remainder when 247 is divided by u?
47
Let y be 129*((-2)/12 + 7/14). Suppose 2*d + 4*j - 298 = 5*j, -16 = -4*j. Suppose -y + d = 4*s. Calculate the remainder when s is divided by 14.
13
Let h = 6 - -4. Suppose 0 = -7*s + h*s - 96. What is the remainder when 560/s - (-2)/4 is divided by 7?
4
Let x = -46 + 75. Suppose 32*a = x*a + 72. What is the remainder when 71 is divided by a?
23
Let s = 78 + -45. Suppose 165*x + 98 = 179*x. What is the remainder when s is divided by x?
5
Let k(x) = -149 - x**3 + 148 + 2*x**3 - 9*x**2 + x + x. What is the remainder when 66 is divided by k(9)?
15
Suppose -6*i + 20 = -2*i. Suppose -11*s - 120 = -16*s. Calculate the remainder when s is divided by i.
4
Let n(t) = -5*t + 3. Let z be n(4). Let b = -14 - z. Suppose -56 = -7*g + b*g. What is the remainder when g is divided by 5?
4
Let r = 25 - 18. Suppose -2*g = r*g - 81. Let c = -29 - -55. What is the remainder when c is divided by g?
8
Suppose 3*r - 201 = -0*r. Suppose -65 = -5*t + 5*l - 2*l, 5*l = -2*t + 57. Let w = 1 + t. What is the remainder when r is divided by w?
16
Let j = -40 - -77. Let m = j - 27. Calculate the remainder when m is divided by 3.
1
Let m = -6 + 6. Suppose m*s = -4*h - 5*s + 2, -3*s = 3*h - 3. Suppose 2*o = h*o - 10. Calculate the remainder when 39 is divided by o.
9
Let x(m) = 0*m - m + 2 - 2*m. What is the remainder when 42 is divided by x(-3)?
9
Let f = 56 - 32. What is the remainder when (-18 - (-3)/(-3))*-5 is divided by f?
23
Let p(z) be the third derivative of z**5/60 + z**4/2 - 2*z**3/3 + 14*z**2. Calculate the remainder when 32 is divided by p(-13).
5
Suppose 2*m - 9 = 13. Let z(r) = -r**3 + 17*r**2 + 84*r + 5. Calculate the remainder when m is divided by z(21).
1
Let j = 31 + -26. Suppose 5*i + 0*i - 91 = -4*q, -j*i - 3*q = -87. Calculate the remainder when i is divided by 9.
6
Suppose -7*f = -2*f - 10. Suppose -f*s + 6*s + 56 = 0. Let o = s - -28. What is the remainder when 39 is divided by o?
11
Suppose -2*d = 2*d - 92. What is the remainder when (-51)/204 - (-514)/8 is divided by d?
18
Let r(d) = 3*d + 185. What is the remainder when r(-21) is divided by 24?
2
Let c be 0 + 172/36 - 2/(-9). Suppose 0 = c*v - 0*v - 20. What is the remainder when 9 is divided by v?
1
Suppose 0*a = -a - 5. Calculate the remainder when 105 is divided by (-161)/(-6) - a/30.
24
Let m = -12 + 9. Let k = -3 - m. Suppose k*q - 268 = -2*q. What is the remainder when q is divided by 34?
32
Let z = -18 - -18. Suppose y + 2*y + 45 = z. What is the remainder when 39 is divided by (1 + -3)/(3/y)?
9
Let k = 16 - 8. Suppose i = -2, 0*x + 2*i = -x - 9. Let w = k + x. Calculate the remainder when 10 is divided by w.
1
Suppose -5*y + 383 - 108 = 0. Suppose -3*w = -20*w + 136. What is the remainder when y is divided by w?
7
Suppose 0 = 2*g - 5*u - 35, u = -8*g + 3*g + 155. What is the remainder when (9790/50)/11*5 is divided by g?
29
Let i = -13 - -15. Let u(k) = k**3 + 0*k**2 + 2 - 9*k - 7*k**2 + i*k**2. Calculate the remainder when u(7) is divided by 13.
11
Let p be 8/(-12) - (-32)/(-6). Let q be 1*-1 - (p + 4). Suppose l - 6*l = -3*n + 70, -l + q = 0. Calculate the remainder when n is divided by 14.
11
Let i(c) = -c**3 - 7*c**2 + 7*c - 4. Let m be i(-8). Suppose 3*p + 25 = -m*q, -3*p = -0*q - q + 5. Calculate the remainder when 81 is divided by 1*(2 + 37) - p.
39
Suppose -2*v = 28 + 104. Let j be (-69744)/22 - 12/v. What is the remainder when 137 is divided by j/(-90) + (-2)/9?
32
Suppose 4*x = -3*i + 223, -x + 2*i + 42 = -0*x. What is the remainder when x is divided by 5?
2
What is the remainder when ((-3)/7)/((-8)/1176) is divided by 41?
22
Let n = 125 - -42. What is the remainder when n is divided by 28?
27
Let h = 2161 + -2058. Calculate the remainder when h is divided by 14.
5
Let g(x) = -21*x + 30. Let c be g(-8). Suppose -3*j + c = -3*o, -204 = -4*j + 5*o + 64. Calculate the remainder when j is divided by 21.
20
Let y(q) = -2*q**3 - 5*q**2 + 1. Suppose 2*r = -10, -3*d + 7*d - 2*r = 62. Calculate the remainder when y(-4) is divided by d.
10
Let t = -4 + 13. Suppose t*h - 2*b - 435 = 4*h, 0 = 2*b. Suppose y = 5*a - 101 - h, 2*y = 3*a - 117. What is the remainder when a is divided by 10?
7
Let z = 10 + 16. Suppose -5*x + 122 = -3*y, 5*x + 5*y = z + 64. Let q = -95 - -136. What is the remainder when q is divided by x?
19
Let u(k) = k**3 + 12*k**2 - 2*k - 20. Let m be u(-12). Suppose -m*s + 95 = -85. What is the remainder when 88 is divided by s?
43
Let v = -1 + 2. Calculate the remainder when 38 is divided by 1*14 - 0/(-1 - v).
10
Let r = 32 + -29. Suppose 0 = -2*f - 0 + 6, -r*f + 73 = 4*w. Suppose -395 = -7*s + 2*s. What is the remainder when s is divided by w?
15
Let n(x) = x**2. Let z(q) = 3*q**2 - 70*q - 268. Calculate the remainder when z(-4) is divided by n(-4).
12
Let k(i) = -i**3 + i**2 - i + 14. Let a = -15 + 11. Calculate the remainder when a - (-1 + -3 + -54) is divided by k(0).
12
Suppose 0 = -4*f + 15 - 3. Calculate the remainder when 0 - 2/((-6)/9) is divided by f.
0
Suppose 4*l - 46 = 10. What is the remainder when (l/4 - 0)/((-8)/(-80)) is divided by 9?
8
What is the remainder when (800/(-90))/20 - (-458)/18 is divided by 65/5 - (1 + -2)?
11
Suppose 4*n + 2*i = 2088, 0 = -2*n + 21*i - 24*i + 1036. What is the remainder when n is divided by 17?
14
Suppose -3*b = 0, -4*t - b - 33 = -3*t. Let a = t - -73. Calculate the remainder when a is divided by 23.
17
Let v(y) = y**2 + 33*y + 128. Calculate the remainder when 645 is divided by v(-29).
9
Let t = 16 + 3. Suppose 17*o - 979 = 279. Calculate the remainder when o is divided by t.
17
Let h = -120 - -133. Suppose -3*l + 2*r + 115 = r, -3*l + 5*r = -119. Calculate the remainder when 31 is divided by (-39)/h - l/(-2).
15
Suppose -136 = -0*x - 4*x + d, -3*x + 109 = d. Suppose 4*y + 13 = 285. What is the remainder when y is divided by x?
33
Suppose -2*j + 31 = -21. Suppose -5*l - 266 = -3*m, m + j - 109 = -4*l. Calculate the remainder when m is divided by 22.
21
Suppose 9*s - 8*s - 4*d - 1047 = 0, -4160 = -4*s + 2*d. What is the remainder when s is divided by 58?
53
Let c(m) be the third derivative of -m**5/60 + m**4/6 - 18*m**2. Calculate the remainder when 12 is divided by c(3).
0
Let s(y) = 2*y**3 + y**2 + 3*y - 3. Let h(l) = l**3 + 7*l**2 - 114*l - 652. Calculate the remainder when h(-6) is divided by s(2).
22
Let f(l) = -2*l + 28. Let w be f(6). Suppose -13*u - 126 = -w*u. What is the remainder when 119 is divided by u?
35
Let o(f) = 5*f**3 + 7*f**2 - 3*f + 12. Let j(w) = 4*w**3 + 6*w**2 - 2*w + 13. Let x(g) = 4*j(g) - 3*o(g). What is the remainder when x(-3) is divided by 10?
3
Let t be -1 + 8 - (-8 + 3 + 7). Suppose t*q = 388 + 182. What is the remainder when q is divided by 29?
27
Calculate the remainder when 138 is divided by 3/(-4) + 13965/380.
30
Suppose 104 = 3*p - 451. Calculate the remainder when p is divided by 27.
23
Suppose s + 355 = 6*s. What is the remainder when s is divided by ((-11)/((-385)/(-180)))/(6/(-21))?
17
Suppose 0*s - 12*s = 1752. Let n = s - -221. What is the remainder when n is divided by 26?
23
Let c(k) = -k. Let l(f) = -31*f - 11. Let d(i) = -5*c(i) + l(i). What is the remainder when d(-5) is divided by 30?
29
Let k be 6/8 - 4344/32. Let a = -90 - k. What is the remainder when a is divided by 18?
9
Suppose -7*k + 35 - 182 = 0. Let a = 42 + k. Let r(s) = 9*s**2 - s. Calculate the remainder when a is divided by r(1).
5
Let a(w) = -2*w + 9. Let u(q) = -7*q + 36. Let i(f) = -9*a(f) + 2*u(f). Let p be i(5). Let l = p + -4. What is the remainder when 18 is divided by l?
4
Let v(q) = -47*q**3 + q**2 + 2*q + 1. Let z be v(-1). Suppose -2*y + z + 23 = 0. What is the remainder when y is divided by (-2)/14 + (-1524)/(-84)?
17
Suppose 0*g = c - 5*g - 90, 2*g = c - 99. What is the remainder when c is divided by 12?
9
Let a(f) = -f**3 + 15*f**2 - 13*f - 12. Let x be a(14). Suppose o = -x*o + 387. What