 = -27 + 69. Suppose -w - 3*m + 50 = -0*w, -w = -4*m - 15. What is the remainder when w is divided by (12/(-7))/((-6)/q)?
11
Let z = 659 + -416. What is the remainder when z is divided by 13?
9
Suppose 5*p - 2*p = 0. Suppose -16*t + 14*t + 66 = p. Calculate the remainder when 65 is divided by t.
32
Suppose 5 = 19*z - 52. What is the remainder when z is divided by 2?
1
Let g be -5 + 3 + (-344 - -2). What is the remainder when (3/6)/((-4)/g) is divided by 23?
20
Suppose -5*v = 3*g - 605, -5*v + 2*g + 375 = -205. Let z = -81 - -122. Let b = v - z. Calculate the remainder when b is divided by 26.
25
Suppose -3*q = q - 3*q. Suppose 15*o - 3*o - 36 = q. Suppose 0 = 2*g - 10, 35 + 25 = 5*b + g. What is the remainder when b is divided by o?
2
Let k be (15/(-2))/(18/(-360)). Let d = -98 + k. What is the remainder when d is divided by 27?
25
Let u be (-3058)/55 + (-3)/(-5). Let m = u + 100. Calculate the remainder when m is divided by 12.
9
Suppose -6*d + 4*d = 0. Suppose d = j, 0 = 4*t - 3*j + 4*j - 68. Let u(o) = 3*o - 4. What is the remainder when t is divided by u(3)?
2
Let l = -23 + 28. Suppose 185 = l*b + 50. What is the remainder when b is divided by 7?
6
Let v(p) = -p**3 + 9*p**2 + p - 9. Let x be v(9). Suppose 8*u - 240 - 328 = x. What is the remainder when u is divided by 18?
17
Suppose 0*r - 128 = -8*r. Let z = 47 - r. Suppose -39 = -2*y + z. Calculate the remainder when y is divided by 12.
11
Suppose 8*d + 4 = 10*d - 5*y, -5*d - 2*y = -68. What is the remainder when 51 is divided by d?
3
Let s(v) = v**3 + 6*v**2 + 4*v - 4. Suppose 15 = -6*k + 3*k. Calculate the remainder when 5 is divided by s(k).
0
Calculate the remainder when 139 is divided by (-116)/(-464) - (2 - 47/4).
9
Let j = -250 + 261. Calculate the remainder when 126/4 + (-2)/(-4) is divided by j.
10
Let h = 810 + -670. Calculate the remainder when h is divided by 72.
68
Let s(c) be the first derivative of -c**4/4 - 23*c**3/3 - 23*c**2/2 - 15*c - 21. Calculate the remainder when s(-22) is divided by (-3)/(-2) + 3/6.
1
Let k(p) = -p**3 + 2*p**2 + 8*p - 4. Calculate the remainder when 25 is divided by k(3).
3
Suppose 4*t - 517 + 193 = 0. What is the remainder when t is divided by ((-53)/(-2) - 9) + 2/(-4)?
13
Let c be ((-9)/6)/((-3)/(-8)). What is the remainder when 24 is divided by ((-30)/12)/(2/c)?
4
Let r(f) = f**2 - 4*f + 7. Let b be r(5). What is the remainder when 18 is divided by (-32)/(-10) - b/(-15)?
2
Suppose 5*t - 3*h = 215, -65 = -t - 0*h + 5*h. Let k be (-502)/(-22) + 4/22. Let w = t - k. Calculate the remainder when 32 is divided by w.
15
Let h be ((-4)/(-6))/((104/(-96))/(-13)). Suppose h*k - 290 = -2*k. Calculate the remainder when 85 is divided by k.
27
Suppose w = -6*f + 2*f + 12, -4*w - 2*f = -62. What is the remainder when 204 is divided by w?
12
Let t(m) = -m**2 + 12*m + 32. Let g = 34 - 19. Calculate the remainder when t(11) is divided by g.
13
Calculate the remainder when 12/(-10)*(-5655)/6 is divided by 81.
78
Let u = 10 - -12. Suppose -u = o - 2*o. Calculate the remainder when 65 is divided by o.
21
Let o(m) = m**3 - 26*m**2 - 83*m - 69. Calculate the remainder when o(29) is divided by 18.
11
Let a be (-1 - 0) + -2 - -3. Suppose -29 = -5*l - 4*z + 19, a = -5*z - 15. Calculate the remainder when 46 is divided by l.
10
Suppose 0*k + 36 = 4*x + 4*k, -35 = -5*x + 5*k. Let d(s) = -s**3 + 8*s**2 + s - 7. Calculate the remainder when (6 - 5) + (1 - -1) is divided by d(x).
0
Let t = -15 + 11. What is the remainder when 28/(-49) - 64/(-14) is divided by -3 + t/(-2) + 2?
0
Let j(w) = w + 17. Let r be (-1 - -1)/(12 + -13). Let q = -111 - -159. Calculate the remainder when q is divided by j(r).
14
Let r be 4 + (1 - (4 - 2)). Suppose r*d = -4*j + 47, 3*d - 2*j - 19 + 2 = 0. Calculate the remainder when 111/2*6/d is divided by 13.
11
Let r be (-17)/3 + (-2)/6. What is the remainder when (-5 - r)/((-3)/(-39)) is divided by 5?
3
Let s be -12 - ((3 - 0) + -6). What is the remainder when 2 + s/3 - -29 is divided by 8*1/((-4)/(-5))?
8
Let i be (-5)/((-25)/(-15)) - -5. Suppose 5*l - 41 = -i*q, q - 3*l = l + 27. What is the remainder when 47 - (-9 - 0)/(-3) is divided by q?
21
Let x(t) = -16*t + 70. Let n be x(6). Let m = 39 + n. Calculate the remainder when 51 is divided by m.
12
Let t(w) = -5*w**2 - 6*w + 1. Let n be t(-3). Let s(j) = -3*j**2 - 3*j - 2. Let l be s(-3). Let v = l - n. Calculate the remainder when 15 is divided by v.
3
Calculate the remainder when 12152/44 + -10 + 4/(-22) is divided by 28.
14
Suppose 18*a + 124 = 22*a. Calculate the remainder when a is divided by 29.
2
Suppose -5*t = -2*g + 35, 13*g - 14*g + 24 = 4*t. What is the remainder when 173 is divided by g?
13
Calculate the remainder when 62 is divided by 3/((-4 - 31/(-3)) + -6).
8
Let n = 28 - -1. Let d(o) = 12*o - 1. Let q be d(3). Let l = q - n. What is the remainder when 11 is divided by l?
5
Suppose -p = -s + 53, 0 = -4*s + 2*p - 0*p + 216. Calculate the remainder when 162 is divided by s.
52
Suppose 22*v + 3*q + 149 = 23*v, -2*v + 5*q + 300 = 0. Calculate the remainder when v is divided by 29.
10
Suppose 10588 = 44*g - 40*g - 4*q, 4*g - 2*q = 10592. Calculate the remainder when g is divided by 102.
99
Let f = -62 + 35. Let b be (-9)/f - (-94)/6. Let k = b + -3. What is the remainder when k is divided by 5?
3
Suppose 0*l = 3*l - 195. Calculate the remainder when l is divided by ((-629)/(-74))/(((-3)/(-2))/3).
14
Let h = -35 - -48. Let l = h + -7. What is the remainder when 15 is divided by l?
3
Suppose -w + 2*w = 0, -3*n = -3*w - 6. Suppose -h + 4*i + 14 = 0, 2*h = h - n*i + 26. What is the remainder when 42 is divided by h?
20
Suppose -f + 4 - 9 = -5*g, -4*f = 3*g - 26. Suppose -o - 2*p - g = 0, -o = o - p - 6. What is the remainder when 5 + -6 + 4 + 0 is divided by o?
1
Suppose 13*d - 14*d = -23. What is the remainder when d is divided by 12?
11
Let w(b) = 2*b**3 - 3*b**2 + 3. Suppose 0 = 3*n + 2*n - 10. Suppose 4*x - 112 = -0*x + 4*z, -5*z = 10. What is the remainder when x is divided by w(n)?
5
Let b(f) be the second derivative of f**3/2 - 3*f**2 - f. Suppose 5*k - w - 67 = -0*w, 58 = 5*k - 4*w. Calculate the remainder when b(k) is divided by 13.
10
What is the remainder when (1/2)/(1/138) is divided by 24?
21
Suppose 4*z - 126 = 3*j - 8*j, -3*z = -3*j + 81. Calculate the remainder when 51 is divided by j.
25
What is the remainder when 36/(-27)*-144 + 1 is divided by 37?
8
Let m = -529 + 670. Calculate the remainder when m is divided by 48.
45
Let i(v) = -v**2 - 3*v + 70. Calculate the remainder when 164 is divided by i(-7).
38
Let a = 650 - -690. Calculate the remainder when a is divided by 56.
52
Suppose -3*t = -15 + 3. Suppose t*c = 6*c - 40. Let i = 19 + 38. Calculate the remainder when i is divided by c.
17
What is the remainder when 10*4 - (-17 - -11) is divided by 16?
14
Suppose 6*x = 5*x + 1, 3*x - 11 = 2*u. Let d be 0 + 12/(-4) - u. Calculate the remainder when (-72)/(d - (-10)/(-4)) is divided by 10.
8
Suppose 0 = 8*q - 575 + 7. What is the remainder when q is divided by 40?
31
Suppose -42 = -5*p - c, -8 = -2*p + 2*c + 4. Let b(x) = -x + 17. What is the remainder when 61 is divided by b(p)?
7
Let b(f) = f**3 + 13*f**2 + 17*f. What is the remainder when b(-11) is divided by 33?
22
Let f(k) = k**2 + k - 4. Suppose -4*w + 24 + 24 = 0. Let m = w - 7. Calculate the remainder when f(-5) is divided by m.
1
Let a be (-4 + 1/1)/(1/(-6)). What is the remainder when (-8)/(-6) - (-2064)/a is divided by 24?
20
Suppose 712 = 33*r - 2390. Suppose -6*w + 80 = -w. Calculate the remainder when r is divided by w.
14
Let b(u) = 3*u + 8. Let z(y) = -3*y + 10. Calculate the remainder when z(-18) is divided by b(5).
18
Let v = -145 - -153. What is the remainder when 40 is divided by v?
0
Let d(w) = 3*w**2 + 34*w + 214. Calculate the remainder when 241 is divided by d(-7).
118
Let s(u) = -u**3 + 12*u**2 + 23*u - 114. Calculate the remainder when 23 is divided by s(13).
7
Let c(w) = 1 - w**3 + w - 4 - 5*w + 2*w**3 - 5*w**2. What is the remainder when 17 is divided by c(6)?
8
Suppose 5*o = 270 - 65. Suppose 4*n = 5*n - o. Calculate the remainder when n is divided by 21.
20
Let j be (8/(2/1))/2. Suppose z - j = 2, -4*z + 40 = 4*o. Let y(b) = -7*b + 17. Calculate the remainder when o is divided by y(2).
0
Let