
11
Suppose 4*w + 3 + 1 = 0. Let v(x) = -13*x**3 - 2*x**2 + 1. What is the remainder when v(w) is divided by 7?
5
Let h = 313 - 294. Let l be ((0 + 0)/(-1))/(-1). Suppose l*y + 45 = y + 3*u, -4*y = -3*u - 135. What is the remainder when y is divided by h?
17
Let n be (-2)/((-6)/3)*-39. Let a = n + 63. What is the remainder when a is divided by 13?
11
Let a = -7 + 12. Let x be 912/18 + 2/(-3). Suppose 0 = -2*k + z + 33, x = 5*k + 2*z - 37. Calculate the remainder when k is divided by a.
2
Let r(x) = x**3 - 6*x - 4 + 6*x + 2*x**2 - 5*x**2. Let n = -7 + 11. What is the remainder when 45 is divided by r(n)?
9
Let y = -85 - -147. Calculate the remainder when y is divided by 22.
18
Suppose 0*i - 52 = -4*q + 4*i, -4*q = i - 32. Let d = -82 + 58. What is the remainder when (-786)/d + (-2)/(-8) is divided by q?
6
Suppose 101 = 7*w - 5*w - 5*h, 20 = -4*h. What is the remainder when 74 is divided by w?
36
Suppose 0 = -b + 5*x + 30, -3*b = -10*x + 6*x - 134. What is the remainder when b is divided by (1 - 24/(-2))*1?
11
Let g be 195/(-6)*(-12)/10. Suppose -3*v = -6*v + g. Calculate the remainder when 37/1 - (-1 + 0) is divided by v.
12
Let c = 8 - 13. Let n(u) = u**2 - 5*u - 7. What is the remainder when n(c) is divided by 2 + (28 - 2)/2?
13
Let v(k) = k - 5. Let l be v(9). Suppose -l*a + 15 = a. Suppose 3*z - 5*c - 27 = 0, 7 = a*z - 4*c - 20. What is the remainder when z is divided by 3?
0
Let v(u) = u**3 + 4*u**2 - u + 4. Calculate the remainder when v(-3) is divided by (-130)/(-14) - (-4)/(-14).
7
Let s = 21 + -16. Let k(y) = 4*y + 2. What is the remainder when 64 is divided by k(s)?
20
Let l(n) = -4*n - 2. Let o be l(-8). Suppose 3*p + 0*p = o. Calculate the remainder when p is divided by 3.
1
Let z(i) = 15 + 23*i + 3*i + i. Let j(y) = 9*y + 5. Let l(g) = -11*j(g) + 4*z(g). What is the remainder when l(4) is divided by 14?
13
Suppose 0 = z + 7 - 21. Suppose -5*v + z = -1. Calculate the remainder when (-1)/(-1*1) - -6 is divided by v.
1
Suppose y + b - 3 = 2, -4*b + 20 = -5*y. Suppose -3*c = 3*g - y*g + 3, -3*g - c + 1 = 0. Calculate the remainder when 14 is divided by (g/2)/(6/60).
4
Let f(l) = 8*l + 3. Calculate the remainder when f(1) is divided by 7.
4
Calculate the remainder when 29 is divided by (6/15)/(4/100).
9
Suppose 43 = 4*q - 37. What is the remainder when 17 is divided by q*((-27)/(-12) + -2)?
2
Let n = -16 + 16. Calculate the remainder when (1 - n)*(1 - -36) is divided by 14.
9
Let w = -11 + 17. Let v = w + 3. Calculate the remainder when 34 is divided by v.
7
Let n(z) = -z**2 - 4*z - 3. Let g be n(-3). Suppose -22 = y + 2*s, g = -0*s + 5*s - 10. Let v = y - -36. Calculate the remainder when v is divided by 6.
4
Let c = 11 + 1. Calculate the remainder when (-10)/2*(-4 + 6/(-10)) is divided by c.
11
Suppose -26 = -u - 13. Calculate the remainder when 63 is divided by u.
11
Let v be (-27)/(-6) - 2/4. Let r(w) = w - 4 - 6*w - v. What is the remainder when r(-6) is divided by 12?
10
Let y = 27 - 8. Calculate the remainder when 54 is divided by y.
16
Let i(h) = h + 15. Let w be i(-12). What is the remainder when 13 is divided by 5 - (5/(-1) + w)?
6
Suppose -4*f = f - 20. Calculate the remainder when (40/30)/(f/9) is divided by 1/(-2*(-2)/4).
0
Let i(u) = u + 6. Suppose q = -0*q + 4. Suppose -q - 1 = -v. Calculate the remainder when i(7) is divided by v.
3
Suppose -5*k + 65 = -0*k. Calculate the remainder when 36 is divided by k.
10
Suppose x - 35 = -26. What is the remainder when 34 is divided by x?
7
Calculate the remainder when 18 is divided by (-3 - 39/(-4)) + (-3)/(-12).
4
Let c = 94 + -40. Calculate the remainder when c is divided by 19.
16
Let n(f) = -5*f**2 - 2*f + 1. Let t be n(1). Let j(i) = -2*i + 10. What is the remainder when 42 is divided by j(t)?
20
Let v(x) = 14*x. Let l be v(2). Let p = -16 + l. Let h = -36 + 59. What is the remainder when h is divided by p?
11
Let p(c) = -2*c**2 - 12*c - 5. What is the remainder when 11 is divided by p(-5)?
1
Suppose 22 = 2*x - 8. Suppose 0 = s + 4*s - x. Suppose s*u = 40 + 47. Calculate the remainder when u is divided by 10.
9
What is the remainder when ((-1)/3)/((-1)/51) is divided by (18/4)/((-12)/(-16))?
5
Let g = 16 - 1. Let z(j) = j**2 - 6*j + 7. Let x be z(5). Suppose -x*i + 0*f - f + 88 = 0, 2*i = -4*f + 88. Calculate the remainder when i is divided by g.
14
Suppose -183 = -3*r - 24. Calculate the remainder when r is divided by 28.
25
Suppose -5*z = -0*f + 3*f, 4*z = -12. What is the remainder when 12/(2 - 4/3) is divided by f?
3
Suppose 35 = 4*u - 3*y + 11, -4*y = 4*u + 4. Suppose n + u*n = 108. What is the remainder when 106 is divided by n?
25
Let u = 53 - 46. What is the remainder when u is divided by 2?
1
Calculate the remainder when 60 + 1 - 6/(-3) is divided by 16.
15
Suppose g = 2*c + 3*c + 12, -5*g + c = -84. Suppose 0 = j - 12 - g. What is the remainder when j is divided by 16?
13
Let v(l) = l. Let x be v(2). Suppose 3*f = -x*f + 10. Suppose -3*r = f*t - 25, -t - 5*r = 2*t - 37. Calculate the remainder when t is divided by 5.
4
Let l(n) = n + 5. Let h = -58 + 40. What is the remainder when l(4) is divided by (-4)/(-6) - 78/h?
4
Let o(d) = 2 - 6*d**2 - 1 - d**3 + 0 + 7*d. Let s be o(-7). What is the remainder when 2 is divided by (-6)/(-12)*4*s?
0
Let w be 15/2*96/18. Let k = -19 + w. Calculate the remainder when 41 is divided by k.
20
Suppose -3*q + 71 = -2*q + 5*v, -q = 2*v - 62. What is the remainder when q is divided by 29?
27
Let o = 3 - -3. Suppose 3*a + 0 = o. Calculate the remainder when 2 is divided by a.
0
Suppose w + 2*t = 2 + 6, 4*w = -t + 11. Calculate the remainder when w is divided by (-1)/(2*(-2)/4).
0
Let x(p) = p**2 + 8*p + 6. What is the remainder when x(-11) is divided by 14?
11
Suppose -7*y + 2*y = 2*v - 141, 5*v - 3*y - 399 = 0. Calculate the remainder when v is divided by 27.
24
Suppose 0*j = 2*j. Let q(m) = m**2 + 6. Let h = 37 + -15. What is the remainder when h is divided by q(j)?
4
Let t(d) = 4*d. Suppose 3*q - 7 = 2. Calculate the remainder when 46 is divided by t(q).
10
Suppose 0 = 16*o - 14*o - 10. Suppose o*w - 14 = y, 2*y - 4*w + 4 = -2*w. What is the remainder when 3 is divided by y?
0
Suppose -2*i = 2*m + 4, 4*i = -2*m + 5*m + 13. Calculate the remainder when 32 is divided by i*(1 + -3 - -19).
15
Suppose 5*l + 42 = 117. What is the remainder when 29 is divided by l?
14
Suppose -4*w + 13 = 129. Let j = -18 - w. Calculate the remainder when 21 is divided by j.
10
Let s(c) = c**2 - 17*c - 15. Let w be (-2)/6 - 28/6. Calculate the remainder when s(18) is divided by (-1 - w)*1/2.
1
Suppose -3*c + 2 = -4*c. Let h(k) = -4*k - 3. Calculate the remainder when 13 is divided by h(c).
3
Let f be (-4)/(-2 - (-9)/6). Suppose -4*r = -f*r - 12. Calculate the remainder when (r - -1) + 8/2 is divided by 2.
0
Suppose -3*j = 4*z + 4 - 5, -4*z - 20 = 0. Suppose -3*l + j = -5. What is the remainder when l is divided by 3?
1
Suppose 5*b = b + 100. Let o = -1 - -8. Calculate the remainder when b is divided by o.
4
Let q(b) = -b**3 - 6*b**2 + 14. Calculate the remainder when 40 is divided by q(-6).
12
Let j = 57 - 120. Let w = j - -89. Calculate the remainder when (-382)/(-5) + (-4)/10 is divided by w.
24
Let v = -5 + 8. Let o = 0 + v. Suppose o*c = 97 + 50. Calculate the remainder when c is divided by 17.
15
Let g = -35 + 77. Calculate the remainder when g is divided by ((-5)/(-10))/((-3)/(-66)).
9
Let w(f) = -62*f**3 - 4*f**2. Let g(l) = -2*l + 1. What is the remainder when w(-1) is divided by g(-7)?
13
Let m = -5 - -22. Calculate the remainder when 66 is divided by m.
15
Let y = 8 + -7. Let g(n) be the second derivative of 11*n**5/20 - n**3/6 + n**2/2 - n. Calculate the remainder when 20 is divided by g(y).
9
Let t = -12 - -26. What is the remainder when 39 is divided by t?
11
Let f = 106 + -96. Suppose -284 - 446 = 5*n. Calculate the remainder when n/(-8) - 2/8 is divided by f.
8
Let z = 12 - 7. Suppose -z*s + 0*l + 130 = -2*l, -2*s - l + 43 = 0. Calculate the remainder when 93 is divided by s.
21
Suppose -11*v + 21 = -10*v. Let d(a) = a**3 - 3*a**2 + 3*a - 3. What is the remainder when v is divided by d(3)?
3
Let z = 84 + -8. Suppose -4*w - d + z + 145 = 0, -d = w - 59. What is the remainder when w is divided by 19?
16
Suppose 3*h = 6*h + o - 3, -3*o - 9 = 0