the remainder when (-193)/(-7) - -7 - 4/7 is divided by 18?
16
Let y = -153 + 79. Let z = y + 105. What is the remainder when z is divided by 16?
15
Suppose 0*w + w = 5. Let r(q) = -q**3 + 3*q**2 - q + 3. Let j be r(3). Suppose w*u - 22 + 7 = j. Calculate the remainder when 10 is divided by u.
1
Suppose 3*h + 4*n = -49, -4*h + 0*n - 48 = n. Let p = 19 + h. Let m = 47 + p. Calculate the remainder when m is divided by 19.
17
Suppose r + 3*a + 21 = 2*r, 0 = 5*a + 25. Calculate the remainder when 37 is divided by r.
1
Let g(r) = r**3 - 4*r**2 - 5*r + 7. Suppose o = -o - z + 51, -2*o + z = -53. Calculate the remainder when g(6) is divided by o.
23
Suppose 0 = -3*g - 346 - 92. Let v = 68 + g. Let m = -40 - v. What is the remainder when m is divided by 13?
12
Let x(p) = -4*p - 17. Calculate the remainder when 18 is divided by x(-7).
7
Let q = -1 + 2. Let z be q + 2 + (0 - 1). Suppose z*h = -3 + 5. Calculate the remainder when 1 is divided by h.
0
Let i = 14 + 64. What is the remainder when i is divided by 27?
24
Suppose 0 = 2*g - 7*g + 200. Suppose 55 = 5*j - g. Let o = j - -11. What is the remainder when o is divided by 16?
14
Suppose -3*j + 16 = -2*o - 26, 5*j - o = 63. Suppose b - 6 = j. What is the remainder when 35 is divided by b?
17
Let o be 1 + (6/2)/3. Suppose 4*b - 12 = 5*d + 12, -4*b = -o*d - 24. What is the remainder when b is divided by 2?
0
Let s = -5 - -3. Let a be ((-4)/1)/(s/5). Suppose 0 = -5*f + a + 25. Calculate the remainder when 20 is divided by f.
6
Let r = 5 - 2. Suppose -g - 27 = -r*v - 0*g, -5*v = -g - 47. Suppose 0 = 4*n + 5*h - 9, 0 = -2*n + 4*h + h + 27. Calculate the remainder when v is divided by n.
4
Let i(r) = 26*r - 4. Let g be i(3). Suppose -4*t = 14 - g. Calculate the remainder when 58 is divided by t.
13
Let x be 30/7 + 2/(-7). Suppose -5*g + 55 = 5*k, -10 = -x*k + 3*g + 6. Calculate the remainder when k is divided by 3.
1
Let q(v) = 20*v**2 + 3*v + 3. Calculate the remainder when 97 is divided by q(-1).
17
Let x = -50 + 114. Let f = 0 + 27. Let y = -5 + f. What is the remainder when x is divided by y?
20
Calculate the remainder when (0 + 1)/(140/46 - 3) is divided by 13.
10
Let q(n) be the second derivative of n**4/6 + 2*n**3/3 + 2*n**2 - 2*n. What is the remainder when 37 is divided by q(-3)?
7
Suppose 2*d + 3 - 1 = 0, 5*s + d - 329 = 0. Suppose -s = -2*l - 24. Let x = l + -7. Calculate the remainder when x is divided by 5.
4
Let t(p) = p**3 - 8*p**2 + 9*p - 3. Suppose 5 = 5*h, -16 = 3*a - 6*a + 5*h. Let i be t(a). Let v = i - 6. Calculate the remainder when v is divided by 2.
1
Let g(f) be the third derivative of -f**5/60 - f**4/4 + f**3/2 - f**2. Let m = -24 + 54. What is the remainder when m is divided by g(-5)?
6
What is the remainder when 14*(5 - 1 - 3) is divided by 5?
4
Let d(x) = x**3 + 12*x**2 - 3*x - 5. Calculate the remainder when d(-12) is divided by 17.
14
Suppose 4*m - 3*m - 34 = 0. Calculate the remainder when m is divided by 18.
16
Let k = 3 + -6. Let u(y) = -8*y + 3. What is the remainder when 51 is divided by u(k)?
24
Let c = -5 + 12. Let a(w) = 5*w**2 + 2*w + 1. Calculate the remainder when c is divided by a(-1).
3
Let d(z) = 27*z - 4. What is the remainder when d(1) is divided by 16?
7
Suppose -3 = -3*r - 0, -491 = -3*f + 4*r. Suppose -5*a + f = 5*x, -x - 2*x = a - 107. Let q = -25 + x. What is the remainder when 35 is divided by q?
11
Suppose 3*f + f = 64. Let z = f - 10. Calculate the remainder when 10 is divided by z.
4
Suppose -3*f = -4*y - 69, -2*f - 3*y - 1 + 30 = 0. Suppose -2*r + 66 = 3*n - f, -2*r + 112 = 4*n. What is the remainder when n is divided by -1*(1 + 5*-3)?
13
Let z(o) = o - 3. Let d be z(0). Let f = 3 + -2. Calculate the remainder when 27 is divided by 12 + (d/(-1) - f).
13
Let p(j) = 13*j + 10. What is the remainder when p(2) is divided by 8?
4
Let v = 7 + -10. Let j be ((-9)/6)/(v/(-4)). Calculate the remainder when 8 is divided by 2/1 - (-1 + j).
3
Let r = 35 - 21. Let d(k) = -7*k + 6. Calculate the remainder when d(-5) is divided by r.
13
Suppose 0 = 18*i - 227 - 475. Calculate the remainder when i is divided by 21.
18
Suppose 13*l - 121 = -4. Let k = -5 - -28. What is the remainder when k is divided by l?
5
Suppose 4*l + 3*p - 503 = 0, 0 = -3*l + 9*p - 6*p + 372. Let c(w) = 2*w**2 - 10*w + 4. Calculate the remainder when l is divided by c(7).
29
Let o(s) = s**2 - 9*s + 3. Calculate the remainder when 8 is divided by o(9).
2
Suppose -3*t - 26 = -80. What is the remainder when 51 is divided by t?
15
Let a be (-4)/14 - (-388)/(-14). Calculate the remainder when 41 is divided by ((-9)/3)/(6/a).
13
Suppose -j + 2 = -0. Let u(v) = -4*v + 4. Let x be u(-8). Suppose -2*d = -j*n - 24, n - 6*n - x = -2*d. Calculate the remainder when d is divided by 5.
3
Let g(t) = -3*t**3 - 2*t**2 - 4*t - 3. Suppose 0 = -3*v - b - 4, -b = -v + 2*v. Calculate the remainder when 83 is divided by g(v).
20
Let t(u) = -5*u - 1. Let o be t(1). Let r = o - -8. Calculate the remainder when 33 is divided by (r - 0)/(-2)*-9.
6
Suppose -10*f + 12*f - 30 = 0. What is the remainder when 58 is divided by f?
13
Let y(z) = z - 8. Let j be y(6). Let n be 23/(-1) + j/(-1). Let d = n + 43. Calculate the remainder when d is divided by 8.
6
Suppose 0 = -q + 5*q - 16. Suppose -19 = q*r - 3, -4*j = 3*r - 52. Calculate the remainder when 47 is divided by j.
15
Suppose -4*v + 42 = -22. What is the remainder when 60 is divided by v?
12
Let x(t) = -10*t**2. Let z be x(1). Suppose i = 4*n - 8 - 147, -5*n + 3*i = -199. Calculate the remainder when n is divided by (1 - z) + 5 + -3.
12
Suppose -2*b + b = 1, 2*s + b - 31 = 0. What is the remainder when s is divided by 6?
4
Suppose -4*r + 10 = -10. Suppose 3 + 7 = r*s. Suppose -5*c + 50 + 25 = -s*o, 5*c - 105 = -4*o. Calculate the remainder when 33 is divided by c.
16
Suppose -3*y + 5*s = 8, 0 = -3*y - 5*s + 2 - 0. Let p = y + 4. Let j = p - -2. What is the remainder when 14 is divided by j?
4
Let r = -26 - -42. Suppose 72 = 3*o + o. Suppose 2*g - 5*g + o = 0. Calculate the remainder when r is divided by g.
4
Suppose a - 3*h = 2, 2*a - 3 = -3*h + 1. Suppose -3 = -3*n + m + a*m, 2*n - m - 6 = 0. What is the remainder when 18 is divided by n?
3
Suppose c + 2*c = 66. Let w = c - 1. What is the remainder when 61 is divided by w?
19
Let m be (-1 - -1) + (-4)/(-1). Suppose -m*w + 27 = 3. What is the remainder when 17 is divided by w?
5
Let x be 12/(1 - -1) + -3. Suppose 5*c + 205 = 5*a + 3*c, -2*a = x*c - 63. Calculate the remainder when a is divided by 20.
19
Let v be -23*(-1*2 - -1). Suppose 20 = -5*s, -2*c + 5*s + 22 = -c. Suppose c*n - v + 5 = 0. What is the remainder when n is divided by 4?
1
Suppose 0 = -5*k - 4*f + 286, -f = -k + 30 + 20. Let m = 30 + -11. What is the remainder when k is divided by m?
16
Let l = -86 + 153. Calculate the remainder when l is divided by 23.
21
Suppose 3*u = 5*g + 121, 150 = 6*u - 2*u - g. Suppose -3*y + 2 = -0*y + 2*i, -2*y = i. Calculate the remainder when u is divided by (1 + 0)/(y/(-26)).
11
Let a be (9/(-6))/(6/(-640)). Suppose a = 4*j + r, 5*j - 4*r - 179 = -0*j. Calculate the remainder when j is divided by 14.
11
Let s(c) = c**3 + 5*c**2 - 2*c. Let x(l) = 2*l**2 - 10*l. What is the remainder when x(7) is divided by s(-5)?
8
Suppose -370 = -11*c - 51. Calculate the remainder when c is divided by 16.
13
Let d = 7 + -5. Suppose -g = -12 + 1. Suppose -2*s + t = -g, -2*t - 21 = -4*s - t. Calculate the remainder when s is divided by d.
1
Suppose -4*f + l = -76, -4*l + 33 + 5 = 2*f. What is the remainder when (f + (-6)/3)*1 is divided by 5?
2
Let m(y) = 2*y - 4*y + y**2 + 0 - 2. Let j = -4 + 11. Calculate the remainder when m(-3) is divided by j.
6
Let c(r) = 5 - 4*r - 4 - 2. Let p(b) = b**3 - 12*b**2 - 16*b + 50. Calculate the remainder when p(13) is divided by c(-1).
2
Let w(p) = -7*p**2 + 5*p - 2. Let g(d) = -8*d**2 + 6*d - 2. Let k(a) = 4*g(a) - 5*w(a). Suppose q = 28 - 5. Calculate the remainder when q is divided by k(2).
11
Suppose i = f + 16, -51 - 12 = -3*i - 2*f. Calculate the remainder when i is divided by 10.
9
Let v = -65 + 105. Calculate the remainder when 118 is divided by v.
38
Let z(m) = -3*m - 19. Calculate the remainder when (2 + -11)*(-1 + -1) is divided by z(-8).
3
Suppose -g - 3*u + 5*u = -4, -4*g - 4 = -3*u. What is th