he remainder when 111 is divided by (-539)/(-33) + (-6)/(-9)?
9
Suppose 5*k - 125 = -3*n + 28, n = -5*k + 151. Let y = 110 + -105. Suppose o - y*u = -3*o + 458, -2*u + 589 = 5*o. What is the remainder when o is divided by k?
27
What is the remainder when (47*(-1)/2)/((-3)/102) is divided by 10?
9
Let m = -26 + 62. Suppose 5*l - 4 = -4*o, -7*o = -5*l - 3*o + m. Suppose -l*g + 91 + 13 = 0. What is the remainder when g is divided by 7?
5
Let g(x) = 3*x**3 + 22*x**2 - 3*x - 6. What is the remainder when 509 is divided by g(-7)?
61
Let l(a) = 9*a - 65. Let m = -59 + 113. What is the remainder when m is divided by l(9)?
6
Suppose -a - 4*a + 327 = 2*t, -t = 4. Suppose 2*o = 4*m - 68, -4*m - 2*o + 9 + a = 0. Calculate the remainder when 33 is divided by m.
15
Suppose 0*r - r = -6. Suppose 5*o - 50 = -2*m, -10 - 34 = -3*o - 4*m. Suppose 4*t = 2*t + o. What is the remainder when r is divided by t?
2
Suppose -6 = -5*j + 4*q + 15, -14 = -2*j - 4*q. Suppose 0*x = -x - 2*u - 17, -5*x = -5*u + 25. What is the remainder when (x/6 + 1)/(2/(-68)) is divided by j?
2
Let q(r) = -r**2 - 7*r + 20. Let s be q(-9). Suppose -49 = -s*z + 97. What is the remainder when z is divided by 11?
7
What is the remainder when 69 is divided by 9/(18/28)*6/7?
9
Let x(a) = -a**3 - 3*a**2 + 3*a - 5. Suppose -2*p - 5*f + 4*f + 4 = 0, 12 = 3*p + 3*f. Calculate the remainder when x(-5) is divided by (-1 - p)/((-1)/11).
8
Let m = -236 + 371. Calculate the remainder when m is divided by 5.
0
Let z = 4 + 8. Let h = -33 + 34. Calculate the remainder when z is divided by (-5 - 0) + h + 11.
5
Let f = -182 - -187. Suppose f - 14 = -3*r. Calculate the remainder when (8/6)/((-2)/(-6)) is divided by r.
1
Let h(z) = z**3 + 3*z**2 - 2*z + 4. Calculate the remainder when 46 is divided by h(-3).
6
Suppose z - 6*d - 294 = -4*d, -z = 4*d - 270. What is the remainder when z is divided by 18?
16
Let l(k) = 2*k**2 + 2*k - 5. Suppose 25*i + 28 = 32*i. Calculate the remainder when l(i) is divided by 6.
5
Suppose -2*p + 87 = 3*k, 0 = -3*p + 4*p + 4*k - 36. Calculate the remainder when 94 is divided by p.
46
Suppose w + 10 = -2*g - 0*w, 0 = g + 2*w + 8. Let p = 12 - g. What is the remainder when p is divided by 6?
4
Suppose -54*j = -71*j + 1020. Calculate the remainder when 104 is divided by j.
44
What is the remainder when 60 is divided by (9 + -2 + -9)*76/(-8)?
3
Suppose -23 = -9*g + 58. Calculate the remainder when 35 is divided by g.
8
Suppose 0 = k + 1 - 3. Suppose -2*p = p. Suppose 4*w = 6*w - 3*s - 16, p = k*s. What is the remainder when w is divided by 3?
2
Let y(p) = -5*p + 114. What is the remainder when y(18) is divided by 4?
0
Suppose -4*s = 5*a - 11, 0*a = 2*a + s - 5. Let j = a - -8. Suppose 0 = -2*r + 7 + j. What is the remainder when 15 is divided by r?
6
Let x(r) = r**3 - 4*r**2 - 2*r - 15. What is the remainder when 312 is divided by x(6)?
42
Suppose -19*j + 20 = -20*j. Let f = j + 48. Let q = 54 - f. What is the remainder when q is divided by 14?
12
Let a(g) = -g + 70. Suppose 4*c = 5*c - 13. Calculate the remainder when a(c) is divided by 30.
27
Let d(g) = g**3 + 9*g**2 - 3*g - 8. What is the remainder when d(-9) is divided by (-10)/(3/(-6)*2)?
9
Let o be 4*5/3*(-45)/(-30). Suppose -6*f - 28 = -o*f. Calculate the remainder when 16 is divided by f.
2
Suppose 27*o - 767 = -38. Suppose 0 = -f + 2*f - 16. What is the remainder when o is divided by f?
11
Let z = 206 + -11. What is the remainder when z is divided by 17?
8
What is the remainder when 176 is divided by 10/6 + 6/18 + 21?
15
Suppose 0 = 5*s - 26*s + 294. What is the remainder when 41 is divided by s?
13
Let p = -81 - -109. Calculate the remainder when 54 is divided by p.
26
Let s(p) = p**2 + 1. Suppose 0*q - 3*q = -9. Suppose -6*w - 5*y = -w - 45, -23 = -2*w - q*y. Calculate the remainder when s(2) is divided by w.
1
Let x be 16/6*(-11 - 40). Let w = x - -306. Suppose 10*k - 5*k - w = 0. Calculate the remainder when k is divided by 18.
16
Let p = 898 + -142. Suppose 8*r - p = -r. Calculate the remainder when r is divided by 1 - (-56)/((-4)/(-2)).
26
Suppose -854 = -3*d - 2*f + 4*f, 3 = -3*f. Suppose 2*b = 6*b - d. Let v = -846 - -870. What is the remainder when b is divided by v?
23
Suppose 0 = -3*g + 10 + 11. Let k(b) = 5*b + 5. Let p be k(g). Suppose -4*f + 2*x + p = 6, 4*f - 43 = 5*x. What is the remainder when 32 is divided by f?
4
Let d(a) = -a**3 + a**2 - 11*a - 7. What is the remainder when d(-4) is divided by 40?
37
Suppose 4*p + 3*u + u + 268 = 0, 20 = 4*u. Let k = -45 - p. Calculate the remainder when 78 is divided by k.
24
Let t(n) = 16*n**2 + 54*n - 5. What is the remainder when t(-5) is divided by 21?
20
Suppose -r + 0 = -13. Calculate the remainder when 167 is divided by r.
11
Suppose -10*m = -1053 + 283. Calculate the remainder when m is divided by 8.
5
Let c(y) be the first derivative of -19*y**4/2 - y**3/3 + y**2/2 + y + 3. Let i(u) = u**2 + 4*u + 14. Calculate the remainder when c(-1) is divided by i(-5).
18
Let p(v) = v**2 - 4*v. Let c be p(3). What is the remainder when 1 + 73*c/(-3) is divided by 15?
14
Suppose -4*z - 240 = -2*q - 732, -z = -5*q - 114. What is the remainder when 245 is divided by z?
121
Let p(w) = 8*w**2 + 7*w + w**3 - w - 1 - 2. Let k(t) = t**3 - 3*t**2 + 2*t - 6. Calculate the remainder when p(-6) is divided by k(4).
15
Let s be 1/(1/2) - 0. Let o be (-16 - -6)/(s/(-1)). Calculate the remainder when 35 is divided by 52/6 - o/(-15).
8
Suppose -46 = 6*q + 50. Let b(h) = h**3 + 16*h**2 - 4*h - 12. Calculate the remainder when b(q) is divided by 11.
8
Let n(l) = 87*l + 4. Let g be n(3). Let u = g + -171. What is the remainder when u is divided by 24?
22
Let v(f) = -2*f + 14. Let j be v(6). Suppose j*m - 5*m + 3 = -3*u, -5*m + 13 = -u. Calculate the remainder when m is divided by 2.
1
Let c = 323 + -86. Calculate the remainder when c is divided by 80.
77
Suppose -2 + 47 = 3*b - 3*j, 55 = 4*b - 5*j. Let v be 7/(-2)*(17 + 1). Let t = -4 - v. Calculate the remainder when t is divided by b.
19
Suppose -2*t - 2*l + 46 = 0, 3*t + 2*l = -3*l + 77. What is the remainder when 40 is divided by t?
2
Let r be 2/3*(-60)/(-8). Suppose r*o - 3*o = 4. Let l = o + 10. What is the remainder when l is divided by 8?
4
Suppose -6*g - 2*g + 80 = 0. What is the remainder when 430/9 + (-4)/(-18) is divided by g?
8
Suppose 4*q = -0*d - 5*d + 159, 4*d + 204 = 4*q. Let m = -28 + q. What is the remainder when 87 is divided by m?
15
Suppose 0 = 6*f - 148 + 46. Calculate the remainder when 136 is divided by f.
0
Suppose -4*t = 3*k - 2093, 3*t + 2*k = 6*t - 1591. Calculate the remainder when t is divided by 10.
7
Let j be 7/(-4) + 2 + 49/28. Suppose k - 20 - 10 = 5*o, -5*o = j*k. What is the remainder when (27/(-2))/((-1)/2) is divided by k?
7
Calculate the remainder when 84/(-15) + 6 - 223/(-5) is divided by 16.
13
Let h = 61 + -41. Let r(v) = v**2 + 5*v + 11. Calculate the remainder when h is divided by r(-5).
9
Let x(f) be the third derivative of f**6/120 - f**5/15 - f**4/4 - 7*f**3/6 - 2*f**2. What is the remainder when x(6) is divided by (-13 - 48/(-8)) + 17?
9
Suppose 2 = -2*h, -2*m + 22 - 7 = 3*h. Calculate the remainder when 133 is divided by m.
7
Suppose -5*r + 2*r = -3*j - 36, -5*r + 60 = -2*j. What is the remainder when 58 is divided by r?
10
Suppose 5*c + 296 = -4*l + c, l + 62 = -5*c. Let t = l + 113. Suppose 2 - t = -2*s. What is the remainder when s is divided by 6?
5
Let a be 0*3/(-12)*2. Suppose 4*s + 8 - 20 = a. Suppose 0 = -f + 5*h - 9, 3*f - 18 = f + h. Calculate the remainder when f is divided by s.
2
Suppose -a = -5*a + 124. Let n(v) = 48*v + 16. What is the remainder when a is divided by n(0)?
15
Calculate the remainder when ((-378)/72)/(-2 + 221/112) is divided by 60.
16
What is the remainder when 128/(-80) - (-12312)/45 is divided by 73?
53
Let f(g) = -3*g**2 + 30*g - 11. Suppose -5*w = 5*c + 135, 5*w - 90 = 3*c + c. Let k = 53 + c. Calculate the remainder when k is divided by f(9).
12
Suppose -4*y = f - 248, 3*y + 57 = f - 163. Calculate the remainder when f is divided by 60.
52
Let f = 64 - 42. Let k = f - 21. Calculate the remainder when k is divided by 1.
0
Let o(m) = -3*m + 16. Let f be o(3). Suppose -3*l + f*l - 80 = 0. Calculate the remainder when 51 is divided by l.
11
Suppose 5*l + 0*p + p 