 Calculate the remainder when o is divided by s.
1
Suppose -59*m = -73*m + 1876. What is the remainder when m is divided by 18?
8
Let x(f) = -3*f - f**2 + 9*f - 7*f + 11 + 0*f - f**3. Let a(h) = -h - 6. Let d be a(-6). Calculate the remainder when 20 is divided by x(d).
9
Let s = -4 + 15. Suppose 30 - 49 = -h + 4*k, -5*k = 2*h - 77. What is the remainder when h is divided by s?
9
Let c(k) be the third derivative of k**6/120 - k**5/5 + k**3/6 + 3*k**2. Let z be c(12). Calculate the remainder when 3*-1 + (z - -22) is divided by 11.
9
Let d be 4 + (-3 - (1 + -2)). Suppose d*u = -4*y + 102, -3*y - 2*u + 13 + 65 = 0. What is the remainder when 47 is divided by y?
23
What is the remainder when 54 is divided by -6 + (-10 + 6 - -23)?
2
Suppose -321 = -26*y + 381. Let b be -2 - ((-2)/2 + -1). Calculate the remainder when y is divided by b - (22/(-2) + -3).
13
Let o = 19 + 5. Suppose 6*s + o = 8*s. What is the remainder when 2/8 - (-915)/20 is divided by s?
10
Suppose 5*l = -0*y + 5*y, 4*y = 5*l - 2. Suppose 5*n + 3*m = -m + 315, 0 = n + y*m - 63. Calculate the remainder when n is divided by 17.
12
Suppose 10*r = r + 63. Calculate the remainder when 172 is divided by r.
4
Let n be (-4)/6*(-60)/8. Suppose 4*s = p + 2*p + 103, 3*s + n*p - 41 = 0. Let x(d) = -2*d**2 - 40*d - 31. Calculate the remainder when s is divided by x(-19).
1
Suppose 4*l - 627 - 901 = 0. Calculate the remainder when l is divided by 184.
14
Suppose -66 - 144 = -21*j. What is the remainder when 48 is divided by j?
8
Suppose 2*i + 5*x - 12 - 48 = 0, 5*x + 220 = 5*i. Suppose 77 = 3*w + 2*a, a + 71 = 5*w - i. Calculate the remainder when 68 is divided by w.
22
Let z be (-484)/30 - 46/(-345). Let h = -13 - z. What is the remainder when 13 is divided by h?
1
Suppose 0 = -19*q - 8 + 27. Suppose 3*u + 2*d = 33, u - 22 = -u + d. Let m = q + u. What is the remainder when 23 is divided by m?
11
Let y(d) be the second derivative of d**3/6 + 5*d**2 + 9*d. What is the remainder when y(-5) is divided by ((-3)/(-1))/((-12)/(-8))?
1
Suppose -3*u = 4*z - 29, -4*z + 2*u + 0*u = -14. Suppose 4*w - 3*t = 420, w + 2*t - 99 = -z. What is the remainder when w is divided by 35?
32
Let a(i) = i - 5. Let k be a(-6). Let j = k + 98. Calculate the remainder when j is divided by 11.
10
Let a(m) = -5*m + 27. Let z(g) = -3*g + 13. Let h(p) = -2*a(p) + 5*z(p). Calculate the remainder when h(-5) is divided by 14.
8
Let u = -13 + 34. Let n = 50 - u. Suppose 0 = 4*p - 3*p - 6. What is the remainder when n is divided by p?
5
Suppose 4 = -2*s + 44. Let h(b) = -5*b + 68. Calculate the remainder when s is divided by h(12).
4
Let i be 26/(-1 + 2)*-1. Let d = 44 + i. Calculate the remainder when 64 is divided by d.
10
Suppose 9*k + 37 = 10*k - 5*y, y = -5*k + 185. Calculate the remainder when 53 is divided by k.
16
Let o = -229 + 233. Calculate the remainder when (-3)/1 + (-21)/(-3) is divided by o.
0
Let f(r) = 2*r + 5. Let v be (-4)/14 + 132/21. What is the remainder when -246*(-3 + 8/3) is divided by f(v)?
14
Suppose -3*m = 63*b - 58*b - 83, -2*b = 4*m - 22. Calculate the remainder when 642 is divided by b.
15
Let u(x) = -3*x**2 - 42*x - 5. Suppose -3*y + 12 = -f - 6, -3*f = 0. Calculate the remainder when u(-13) is divided by y.
4
Let y(h) = -4*h + 37. Calculate the remainder when 34 is divided by y(2).
5
Let i = 227 - 64. What is the remainder when i is divided by (1 + -3 - -5)*11?
31
Let x(f) = -f**3 - 19*f**2 - 24*f - 16. What is the remainder when x(-19) is divided by 49?
48
Suppose 5*o = -2*t + t + 208, 3*t - 3*o = 642. Calculate the remainder when -9 - -7 - t/(-3) is divided by 19.
12
Suppose -w + 5 = -17. Suppose -20*f = -21*f - 4*i, -3*f - 4*i = -24. What is the remainder when w is divided by f?
10
Let t = 17 - 30. Let g = t + 7. Let y = g + 38. What is the remainder when 127 is divided by y?
31
Suppose -5*q = -32 - 8. Suppose -5*p = -17 - 13. What is the remainder when (186/12)/(2 + p/(-4)) is divided by q?
7
Let y(s) = s**2 - 24*s + 34. Let c be y(23). Let h = c - 2. What is the remainder when h is divided by 5?
4
Let f = -199 + 268. Calculate the remainder when f is divided by 26.
17
Suppose -2*o - 5*c = -86, 3*o - 4*c = 5*o - 82. What is the remainder when 90 is divided by o?
24
Suppose -104*l - 1092 = -156*l. Calculate the remainder when 774 is divided by l.
18
Suppose 2*u - 4*u = -40. Suppose 0 = -4*n + 24 + u. Let z = 23 - n. Calculate the remainder when z is divided by 5.
2
Let n(h) = h**2 + 2*h - 3. Let y(j) = -j**3 - 23*j**2 - 22*j + 24. Calculate the remainder when y(-22) is divided by n(-4).
4
Suppose 0 = 7*r + 2 - 16. Suppose -4*z - v + 4*v = -66, -v - r = 0. Let c = 5 - -38. What is the remainder when c is divided by z?
13
Let g = -48 + 106. What is the remainder when 288 is divided by g?
56
Let f(y) = -1257*y + 14. What is the remainder when f(-1) is divided by 106?
105
Let n(g) = 3*g - 15. Let s be n(6). Suppose 2*d = -5*k + 1143, 0 = -2*d - d - s. Let u = -151 + k. What is the remainder when u is divided by 20?
18
Suppose 2*z - 27 = 3*d, -6 = -3*z + 2*z + 4*d. Suppose -h + 0*b = b - z, 9 = 3*b. Calculate the remainder when 57 is divided by h.
12
Let i = 51 + -47. Suppose -i*h + 360 = -4*m, -3*h = m - 6*m - 262. Calculate the remainder when h is divided by 19.
18
Let i = 344 + -178. What is the remainder when i is divided by 29?
21
Let v = 594 + -435. What is the remainder when v is divided by 32?
31
Suppose 1198 = 4*k - 2*x, 20*x + 20 = 24*x. Calculate the remainder when k is divided by 77.
71
Calculate the remainder when (-21)/(-6)*1264/28 is divided by 53.
52
Let v = 407 + -401. Let b(m) = m**3 + m - 1. What is the remainder when v is divided by b(1)?
0
Let c = -20 + 29. Let q = 14 + c. What is the remainder when 112 is divided by q?
20
Suppose -13*x = -5*x - 352. What is the remainder when x is divided by 4?
0
Suppose -4*p = -5*w + 4, -w = 5*p + w - 28. What is the remainder when 12 + 470/(-90) + 2/9 is divided by p?
3
Let w(h) = -4*h + 2. Let x be w(-1). Suppose -x*a + 120 = -3*a. Suppose -4*d + a = d. What is the remainder when 22 is divided by d?
6
Suppose 105*w = 100*w + 65. Suppose 0 = -2*d + d + 23. Calculate the remainder when d is divided by w.
10
Let d(i) be the second derivative of -i**5/20 + 19*i**4/12 + 10*i**3/3 + 15*i**2/2 + 11*i. Calculate the remainder when 148 is divided by d(20).
13
Let o = 22 + -16. Let u be 4/(-18) + 3038/63. Suppose 0 = 5*y - 2*y - u. Calculate the remainder when y is divided by o.
4
Suppose -5*x = f - 13 - 64, 3*x = 2*f - 128. Calculate the remainder when f is divided by 12.
7
Let s(h) = h**3 + 10*h**2 + 3*h - 8. Let k = -44 + 35. Calculate the remainder when 136 is divided by s(k).
44
Let w = 13 + -7. Calculate the remainder when ((-252)/105)/(6/(-100)) is divided by w.
4
Suppose -47*i + 7750 = -52. What is the remainder when i is divided by 13?
10
Suppose 2*a - 355 + 123 = 0. Calculate the remainder when a is divided by 33.
17
Suppose 926 = 5*j - 2*n, -n - 3*n - 12 = 0. Let q = -114 + j. What is the remainder when q is divided by ((-38)/(-1))/2 + -1?
16
Suppose -2*w + 4*w = 4. Suppose 5*g + w*t - 112 = t, 0 = 2*g - 2*t - 40. Calculate the remainder when 84 is divided by g.
18
Let k(p) be the first derivative of 4*p**3/3 - p**2 - 6*p + 12. Let u be k(3). Suppose u = v + v. Calculate the remainder when 21 is divided by v.
9
Suppose b + 4 - 9 = 0. Suppose b*n - 109 + 9 = 0. Calculate the remainder when n is divided by 6.
2
Suppose 0 = 2*b + 4*c - 64, 2*b + 4*c + c = 69. Let d = b + -15. Calculate the remainder when 32 is divided by d.
4
Let s = 576 + -131. Suppose 5*o - 40 - s = 0. Calculate the remainder when o is divided by 25.
22
Suppose -3*p + 24 + 6 = 0. Suppose -133*n + 136*n - 3 = 0. Let v(j) = 28*j**3 - 2*j**2 - j + 2. Calculate the remainder when v(n) is divided by p.
7
Suppose 2 = -5*u - 3, u - 7 = -z. Suppose -3*l = -2*i - 2*i + 199, 3*i + 4*l = 118. Suppose -i - 130 = -8*w. Calculate the remainder when w is divided by z.
6
Let n(b) = 14*b - 6. Let k be n(7). Let h = 24 + k. Suppose -3*a + h = a. What is the remainder when a is divided by 16?
13
Suppose 465 + 117 = 3*j - 3*h, -2*j - 4*h = -406. Calculate the remainder when j is divided by 39.
2
Suppose -20*v = -24*v + 32. Let q(p) = p**3 + 6*p**2 - 8*p - 9. Let h be q(-7). Let z = v - h. Ca