y + 154 = -8. What is the remainder when 48 is divided by y?
21
Suppose -92 = -3*r + 2*z, -z + 70 + 19 = 3*r. Let t = -3 + r. Suppose -5*s + 17 = -33. What is the remainder when t is divided by s?
7
Let o(f) = f + 7. Calculate the remainder when 57 is divided by o(8).
12
Suppose -120 = -5*i - 3*s, 35 = 4*i + s - 54. Suppose -3 - 1 = -2*m - 2*l, -2*l - i = -3*m. Calculate the remainder when m is divided by 2.
1
Suppose -7 = -r + d + d, -3*r - d + 14 = 0. What is the remainder when 12 is divided by r?
2
Let s(f) = -153*f - 1. Let g be s(-1). Calculate the remainder when 6/9 + g/6 is divided by 14.
12
Suppose -c = -2 + 1. Let y = 21 + -6. Calculate the remainder when c + (4/(-2) - -45) is divided by y.
14
Calculate the remainder when (-561)/(-12) + (-2)/((-16)/(-6)) is divided by 27.
19
Let p(k) = 9*k**2 + 4*k + 2. Let a be p(-3). Calculate the remainder when (1 + a)/2 + 0 is divided by 13.
10
Suppose -5*v - 34 = -3*w, -w = 6*v - 2*v. Let d = 7 - 7. Suppose d = 3*l - 6*l + 66. What is the remainder when l is divided by w?
6
Let d = 1386 + -986. Suppose -5*w + 0*w + d = 0. Calculate the remainder when w is divided by 27.
26
Suppose 0 = 3*d - 2*d - 7. Calculate the remainder when 48 is divided by d.
6
Suppose 66 = -3*b + b + 3*i, -3*b - 99 = i. Let u = 50 + b. Let y = 26 + u. What is the remainder when y is divided by 22?
21
Suppose -2*h - 4*t = -6*h + 56, -5*t + 63 = 2*h. Calculate the remainder when 94 is divided by h.
18
What is the remainder when 19 is divided by 12/18 - 56/(-6)?
9
Suppose 5*y = 2*r + 18, -2*r = -6*r - 3*y - 36. Let g = 1 - r. Let j = 24 - g. What is the remainder when 26 is divided by j?
12
Suppose n = 67 + 77. Let y = 211 - n. Calculate the remainder when y is divided by 17.
16
Let o(c) = 6*c - 1. What is the remainder when 133 is divided by o(3)?
14
Suppose -12 = -4*w - t, 4*t + 3 + 9 = 4*w. Suppose -2*k - i = 42, 7 = -2*i + w. Calculate the remainder when 35 is divided by (-1 - k) + 1 + -2.
17
Let s = -81 + 119. Calculate the remainder when s is divided by 10.
8
Let o = 5 - -6. Suppose 4*h - h - 63 = 0. Calculate the remainder when h is divided by o.
10
Suppose -3*t + 6*t - 8 = w, -2*t + 12 = w. Suppose -5*n - 1 + 3 = 2*m, 5*n - t*m + 4 = 0. Calculate the remainder when 26 is divided by (-18)/(-2) - n/2.
8
Suppose 5*u = -2*l - 0*u - 14, -u - 16 = -4*l. Calculate the remainder when -2 + (18 - l) - 3 is divided by 4.
2
Let u(t) = -t**3 - t**2 + t + 3. Suppose 10 = 2*r + 3*r, 2*o + 3*r = 0. Calculate the remainder when 53 is divided by u(o).
17
Let z(y) = y**3 - 3*y + 2. Let f = 5 + -3. Suppose 2*l - l = 3. Calculate the remainder when z(f) is divided by l.
1
Let f(r) = -r**2 - 2*r + 26. Suppose -2*s + 15 = 3*s. Suppose -1 = -s*q + 2. What is the remainder when f(-6) is divided by q?
0
Let j = 22 + 13. Suppose 4*r - 3*r + 3 = -3*y, -4*y - 44 = -2*r. What is the remainder when j is divided by r?
11
Suppose -4*q + 59 = -5*x, x + 58 = 5*q - 0*x. Calculate the remainder when 43 is divided by q.
10
Let f be 1/(-4) - (-267)/(-4). Let w = f + 119. What is the remainder when w is divided by (4/3)/(2/27)?
16
Let t(g) = g**2 - 6*g - 9. Let z = 4 + -4. Calculate the remainder when 16 + 1 + z - -2 is divided by t(8).
5
Suppose 3*s = -0*s + 354. What is the remainder when s is divided by 61?
57
Let b(p) be the first derivative of p**4/4 + p**3/3 - p**2/2 + 46*p - 5. Let v(f) = f - 2. Let n be v(2). What is the remainder when b(n) is divided by 16?
14
Suppose -8*n + 3*n = k - 474, -208 = -2*n - 5*k. What is the remainder when n is divided by 24?
22
Suppose x = -3*p - 3*x + 219, 0 = -5*p + 3*x + 336. Suppose 5*h - p = -24. Calculate the remainder when 33 is divided by h.
6
Suppose -3*g - 1 = -4. Calculate the remainder when g is divided by 1.
0
Let l(d) = -2*d**2 + 1. Let p be l(1). Let t = 22 + -9. What is the remainder when -95*((-21)/15 - p) is divided by t?
12
Suppose 0 = 4*k + 3*p + 1, 5*k = -5*p - 2 - 3. Suppose k*i = -0*i + 18. Calculate the remainder when 43 is divided by i.
7
Suppose 96 = 5*n + 26. Calculate the remainder when n is divided by 6.
2
Suppose 3*x - 4*h + 3 = 0, 2*x - 3*h + 9 = 2*h. What is the remainder when 5 is divided by x?
2
Suppose 14 = g + q - 7, g = -2*q + 26. Calculate the remainder when 62 is divided by g.
14
Let y(m) = 17*m - 22. What is the remainder when y(4) is divided by 28?
18
Let b(g) = g**3 + 4*g**2 + 2*g - 4. Let t be b(-3). Suppose -5*i + 10 = -0*i. What is the remainder when 6 - (0/(-3) - t) is divided by i?
1
Suppose 5*q - 1 = 2*x + 1, -6 = -4*x + 5*q. Suppose 3*l - 7*r + 7 = -2*r, 0 = -5*r + 25. What is the remainder when l is divided by x?
2
Suppose 0 + 2 = q. Suppose q*j = -j + 21. What is the remainder when 27 is divided by j?
6
Let r = 25 - 18. Suppose -4*z = -k - 16, 0 = -2*z - 3*z - 3*k + 20. Calculate the remainder when r is divided by z.
3
Suppose -g + 2*i + 10 = 0, i + i = -g - 6. Suppose l = -0*l + g, 4*c = -l + 54. Calculate the remainder when 51 is divided by c.
12
Let y = 64 - 46. Suppose -42 = z - 3*k, 3*z + 134 = k - 0*k. What is the remainder when ((-14)/3)/(6/z) is divided by y?
17
Let v = -18 + 4. What is the remainder when 4/v - (-51)/7 is divided by 8/((-8)/(-6) - 8/(-12))?
3
Let j = 26 - -4. Suppose 0 = 2*t + 2*t - 68. What is the remainder when j is divided by t?
13
Suppose 2 = q - 8. Suppose -8*j + 4 = -52. What is the remainder when q is divided by j?
3
Let y(l) = -l + 8. Let r be y(10). Let v(t) = -t**2 - t + 2. Let f be v(r). Calculate the remainder when (f + 0 - 2) + 14 is divided by 7.
5
Calculate the remainder when (0 + 1)/(1 + (-58)/59) is divided by 20.
19
Suppose 4*v = -4*g + 28, 4*v - 20 = -v. Let l(n) = -5*n - 5 - 3*n**g + 2*n**3 + 8*n**2 - 2. What is the remainder when l(7) is divided by 4?
3
Let u(h) = h**2 + 7*h - 23. What is the remainder when 145 is divided by u(-12)?
34
Let l be 3 + ((-4)/2 - 1). Suppose 0*c + 3*c - 12 = l. What is the remainder when 18 is divided by c?
2
What is the remainder when 45 is divided by -2 + -4*(-15)/4?
6
Suppose -2*a - 15 = -7*a. Suppose 0 = -a*o - o - 4*q + 24, 0 = -o - 3*q + 2. Calculate the remainder when 14 is divided by o.
6
What is the remainder when 57 is divided by 116/6 + 20/30?
17
Let o be (-3)/2*17*-4. Suppose -2*s + o = -54. What is the remainder when s is divided by 20?
18
Let n(q) = q**2 - 5*q + 3. Suppose -25 = 2*o - 7*o. Suppose 2*h = -3*x + 67, -h = o*x - 4*h - 137. What is the remainder when x is divided by n(6)?
7
Let n be -1 + 1 + (-1)/1. Let v(z) = 5*z**2. Calculate the remainder when 17 is divided by v(n).
2
Suppose -3*o - 13 = -d - o, -4*d + 3*o = -27. What is the remainder when ((-4)/d)/(2/(-42)) is divided by 10?
8
Let r = -11 + 18. Suppose -15 = -2*n + 5*n. Let c = n - -8. Calculate the remainder when r is divided by c.
1
Let g be -3*(-5)/(15/6). Suppose 0 = g*c - 3*c. Suppose a - 16 = -c. Calculate the remainder when 47 is divided by a.
15
Let n(m) = m**3 + 4*m**2 - 6*m. Let l be n(-5). Suppose -8 = -l*d + d. Suppose -3*o - 10*o = -52. Calculate the remainder when o is divided by d.
0
Let c(n) = n**2 - 6*n - 4. Calculate the remainder when c(8) is divided by 4*(5/(-20) + 2).
5
Suppose 54*b - 38*b = 992. Let s = 157 + -12. Suppose -40 = 5*v - s. Calculate the remainder when b is divided by v.
20
Suppose 37 = -4*w + 97. Suppose b + 16 = -3*b. Let v(z) = z**3 + 7*z**2 - 4. Calculate the remainder when v(b) is divided by w.
14
Suppose -3*n + 8*n = x + 50, -3*n + 3*x = -42. Let u = -89 + 43. Calculate the remainder when n is divided by u/(-8) - 4/(-16).
3
Suppose -4*p = 14*k - 16*k + 50, -4*k = -5*p - 94. Suppose -v - i + 52 = -5, -4*i - 82 = -v. Calculate the remainder when v is divided by k.
20
Let w(p) = p**2 - 2*p. Let f be w(2). Suppose -5*n + 17 + 3 = f. Suppose 5*v = -5*k + 34 - n, 2*v + 3*k = 11. Calculate the remainder when 19 is divided by v.
5
Suppose 343 = 2*t + g, 3*t - 504 = -2*g + 4*g. Suppose 7*o = -4*u + 4*o + 143, -5*u = 2*o - t. What is the remainder when u is divided by 11?
10
Let g(f) = -f**3 - f**3 + f**3 + 22 - 11*f**2 + 12*f**2. Calculate the remainder when 64 is divided by g(0).
20
Let b(g) = -9*g. Let s(d) = -8*d + 1. Let y(a) = 6*b(a) - 7*s(a). Calculate the remainder when 6 is divided by y(5).
0
Let k(j) = -4*j - 34. Suppose 8 = -2*s + 40. What is the remainder when s is divi