1 = -f. Calculate the remainder when v is divided by 52.
51
Let o = 122 + -60. Suppose 4*s + 15 = 9*s. Suppose 48 = 4*y + s*h - 7, -2*y + 27 = h. What is the remainder when o is divided by y?
10
Let d be 159/12 + (-1)/4. Suppose 8*g - 27 = d. Suppose -6*l = -4*j - 3*l + 11, -3*l - 3 = 0. Calculate the remainder when g is divided by j.
1
Let y(f) = 2*f**2 - 8*f + 3. Suppose 0 = 3*c - 15, -7*c = -3*u - 2*c - 34. Calculate the remainder when u*(-3)/((-36)/(-200)) is divided by y(5).
11
Let v(l) = l**2 + 41. Calculate the remainder when v(0) is divided by 338/507 - (-62)/6.
8
Let h = 171 + -155. What is the remainder when 140 is divided by h?
12
Suppose 4*m - 17 = 5*j - 2, 4*j + 12 = 5*m. Suppose 15 = 5*k - m*k. What is the remainder when (16/(1 + 1))/1 is divided by k?
2
Suppose 4*s = 3*l - 35, -s - 2 = 2*l - 18. Let n = 40 + 16. Suppose k - 3*k = -4*c - n, 3 = -3*c. Calculate the remainder when k is divided by l.
8
Let s = 66 - 38. Suppose -2*u - s = -4*u. Let m = u + 4. Calculate the remainder when 33 is divided by m.
15
Suppose -11 = -2*q - 5*z, z = -2*q - 3*z + 8. What is the remainder when 45 is divided by q/13 + 2709/117?
22
Let d = 46 + -46. Suppose -n - 5*n + 114 = d. Calculate the remainder when 151 is divided by n.
18
Let w = 88 + -98. Calculate the remainder when 37 is divided by (13 + w)/(3/20).
17
Suppose -33*p + 28*p = -365. Calculate the remainder when p is divided by 26.
21
Suppose 0 = -2*u + 13 - 7. Suppose 0*c - f + 2 = -c, u*f = -2*c + 16. What is the remainder when 5 is divided by c?
1
Let r = 195 + 52. What is the remainder when r is divided by 15?
7
Let j(m) = m**2 + m - 7. Suppose 64 - 46 = -2*i. What is the remainder when j(i) is divided by 22?
21
Let l = 97 - 93. Suppose 0 = -3*a + d + l*d + 94, -4*d - 29 = -a. Calculate the remainder when a is divided by 6.
3
Let v(x) = x**3 - 10*x**2 + 11*x - 3. Calculate the remainder when ((1 - 0) + 0)/((-16)/(-912)) is divided by v(9).
12
Let t = 15 + -11. Suppose t*f - 144 = -2*o - 2*o, 20 = -4*o. What is the remainder when 80 is divided by f?
39
Suppose 0 = b - 19 - 6. Suppose 0 = -2*r + 149 + 49. Calculate the remainder when r is divided by b.
24
Suppose 4*h + 3*a = 119, -5*h - 3*a - 31 + 182 = 0. Let f(p) = 42*p**2 + p. Calculate the remainder when f(-1) is divided by 42/8*h/12.
13
Suppose -23*i - 347 = -1221. What is the remainder when 260 is divided by i?
32
Let o = -6 + 9. Suppose 2*j - 4*j = -o*v + 78, 3*v + 3*j = 78. Calculate the remainder when v is divided by ((-46)/(3220/175))/(2/(-8)).
6
Suppose 362 = 5*a - 4*i, -18 = -i - 16. Calculate the remainder when a is divided by (50/8)/((-2)/(-8)).
24
Let l(a) be the first derivative of -2*a**2 + 2. Let f be l(-1). Suppose f*z - 2*u = 170, -3*z - z + 164 = -4*u. Calculate the remainder when z is divided by 9.
8
Let g(m) = 1 - m**3 + 2*m**2 - 2*m - 4*m**2 + 5 + 8 - 5*m**2. Suppose 2*r + 35 = -3*r. What is the remainder when 110 is divided by g(r)?
26
Suppose 19*b = 21*b - 28. Suppose -5*x + 2*m = -270, -2*x + 3*x + 5*m = 27. Suppose -x = w - 3*w. Calculate the remainder when w is divided by b.
12
What is the remainder when 247 is divided by (-1 - -1) + 36 - (68 - 63)?
30
Let f be (2 + 4)*(-2)/(-6). Suppose f*d + 4 = 26. Suppose 0 = j + 4 - d. What is the remainder when 12 is divided by j?
5
Let i(h) = -3*h + 39. Suppose -167 = -5*v - 2*l, -l - 74 = -v - v. Calculate the remainder when v is divided by i(11).
5
Let o = 90 - -36. Calculate the remainder when 129 is divided by o.
3
Suppose -7*a = -460 - 1220. Suppose a = 5*s - z, 5*s = z + z + 240. What is the remainder when s is divided by 18?
12
Let h(t) = -31*t - 7. Calculate the remainder when h(-15) is divided by 9.
8
Let n(o) = 5*o**2 - 10*o + 68. What is the remainder when n(5) is divided by 24?
23
Let k be -2 - 2/(-2) - -3. Suppose k*q - 24 = -2*b, -b - 4*q = 4*b - 58. What is the remainder when 47 is divided by b?
7
Let w = 19 - -14. What is the remainder when 127 is divided by w?
28
Let h = 18 - 14. Suppose -3*y - 4*n - 15 = -45, h*n + 12 = 0. Calculate the remainder when 69 is divided by y.
13
Suppose 2*q = -b + 3, -5*q - 4*b + 0 = -12. Let j be (3 - 3)/(-2 - q). Suppose 15 = 3*a - j*a. Calculate the remainder when 8 is divided by a.
3
Suppose 0 = 3*v - 115 + 22. Calculate the remainder when 121 is divided by v.
28
Let s(w) = w**2 + 2*w - 2. Let h = 10181 + -10099. Calculate the remainder when h is divided by s(-6).
16
Let l = 47 + -28. Suppose 9*s - 12*s + 165 = 0. What is the remainder when s is divided by l?
17
Suppose -2 + 22 = 2*p. Let c = p + -5. Let a(o) = 5*o + 1. Calculate the remainder when a(c) is divided by 9.
8
Let h(j) = 58*j - 344. What is the remainder when 188 is divided by h(6)?
0
Let x = 4 - -17. Let k = 2814 + -2787. What is the remainder when k is divided by x?
6
Let o = 31 + 2. Suppose 5*f - 16 + 6 = 0. Suppose z + 5*d - 1 = -f, -7 = -z - d. What is the remainder when o is divided by z?
6
Suppose w + 3*w + r - 40 = 0, 0 = -w - r + 10. Suppose -w - 22 = -4*y. What is the remainder when y is divided by 3?
2
Let z = 2107 + -1389. What is the remainder when z is divided by 40?
38
Let m(h) = -h - 13. Let d be m(-5). Let q = d - -13. Suppose 110 = q*u - 25. Calculate the remainder when 107 is divided by u.
26
Suppose -r - 28 = -2*r. Calculate the remainder when 104 is divided by r.
20
Suppose -282*q = -255*q - 7263. What is the remainder when q is divided by 5?
4
Let y(p) = 37*p - 156. What is the remainder when 1027 is divided by y(7)?
100
Let v(n) be the third derivative of n**5/12 + 5*n**3/6 - 5*n**2. What is the remainder when v(-3) is divided by 1 - -12 - (0 + 0)?
11
Let d = 116 - 65. Suppose 5*x = -s + 56, -x - 26*s + 29*s + 8 = 0. Calculate the remainder when d is divided by x.
7
Let h = -922 + 1138. What is the remainder when h is divided by 95?
26
Let y = 81 + -77. What is the remainder when 68 is divided by 98/4 - 2/y?
20
Suppose 59*j = 66*j - 35. Suppose 5*u + 8 = -g + 2, 4*u + 115 = 5*g. Calculate the remainder when g is divided by j.
4
Suppose 8*r = 13*r - 15. Suppose -4*z = r*c - 30, -c + 2 + 8 = -5*z. Let f = c - 2. What is the remainder when 21 is divided by f?
5
Suppose w = -2*n + 12, 5*w + 3 = 4*n + 77. Calculate the remainder when 10/(-35) - (-256)/w is divided by 11.
7
Let w(l) = -10*l - 3. Let h be w(1). Let z(o) = -o**2 - 15*o - 14. Let y = 81 + -34. Calculate the remainder when y is divided by z(h).
11
What is the remainder when 246 is divided by (-96)/3*1/(-4)?
6
Suppose -55 - 71 = -2*q. Let g = 12 + -3. Suppose g*l = 4*l + 110. Calculate the remainder when q is divided by l.
19
Let j(k) = k**3 - 7*k**2 + 2*k - 11. Let h be j(8). Let f(q) = 3*q**2 + 3*q + 3. Let g be f(-4). Let p = h - g. Calculate the remainder when p is divided by 16.
14
Let d be ((-8)/(-3))/(2/72). Let z = d - 42. Suppose 0 = -4*h - 2*c + 72, 2*h = 5*h + 5*c - z. What is the remainder when h is divided by 10?
8
Let c(u) = -15*u**3 + 4*u**2 + 5*u + 1. Let z be c(-2). Suppose -2*t + 29 = -t - 5*m, 3*t = 5*m + z. What is the remainder when t is divided by 13?
10
Let i(o) = -5*o**2 + 5*o - 22. Let c(j) = j**2 - j. Let v be (40/30)/(2/(-6)). Let m(s) = v*c(s) - i(s). What is the remainder when 43 is divided by m(0)?
21
Suppose 0 = k - 4*a - 10, 0 = -3*k + 10*a - 5*a + 30. Let v(p) = -p**2 + 22. Calculate the remainder when v(0) is divided by k.
2
Let d be (-1)/3 + (-24)/(-18). What is the remainder when 20 is divided by (d + 1 - 1)*(-1 + 7)?
2
Suppose 40*o - 3996 = 13*o. Calculate the remainder when o is divided by 17.
12
Suppose -209 = -11*k + 165. What is the remainder when k is divided by 12?
10
Let j = -18 + 30. Suppose 5*l - 24 = -2*f, f + 0*f + 3*l - j = 0. What is the remainder when f is divided by 3?
0
Let g be ((-32)/(-6))/(4/18). Suppose -4*i + 35 = n, -32 = 3*i - 7*i - 4*n. Let o = g - i. What is the remainder when o is divided by 6?
3
Suppose 0 = 2*x - 0*q - q - 938, x + 3*q - 462 = 0. Suppose 11*h + h - x = 0. Calculate the remainder when h is divided by 6.
3
Suppose -3*t = 2*s - 9, 2*s = -2*s - 5*t + 15. Suppose s = 6*c - 7*c + 18. Calculate the remainder when 34 is divided by c.
16
Let w(p) = p + 13. Let t be w(-10). Let h(f) = f**3 - 2*f**2 - 2*f - 1. Let c be h(t). What is the remainder when 29 is divided by ((-44)/(-4))/(c - 1)?
7
Suppose -10 = 2