45. Calculate the remainder when v is divided by 64.
59
Suppose 5*g - 40 = -5*n, 19*n - 1 = 17*n - 5*g. What is the remainder when n is divided by 1?
0
Suppose 3 = 4*v - 5*c, 2*v + 0*v = 2*c + 2. Suppose -3*b + v*b = -12. Let n(r) = 4*r**2 + 12*r + 29. Calculate the remainder when n(-4) is divided by b.
9
Let s = -35 + 73. Let z = s + -18. Calculate the remainder when z is divided by (-696)/(-64) + (-1)/(-8).
9
Let u = -840 + 1208. Suppose 5*h - u = 3*s, 6*s + 4 = 2*s. Calculate the remainder when (-8 + 7)/((-1)/h) is divided by 19.
16
Suppose 0*b + 2*b + 23 = -3*f, 3*b = -4*f - 32. Let u = f - -16. Calculate the remainder when 1/(-2)*2*-42 is divided by u.
9
Suppose g - 2*g - s + 5 = 0, -3*g - 5*s + 21 = 0. Calculate the remainder when (7/4)/(((-56)/(-700))/((-16)/(-10))) is divided by ((-6)/(-1))/(g/3).
8
Let o(g) be the third derivative of g**5/15 + g**4/24 - g**3/2 - g**2. What is the remainder when 43 is divided by o(-2)?
10
Let p = 2 - -17. Let f = 52 - p. Let m = -9 + f. What is the remainder when m is divided by 9?
6
Let d(n) = 45*n**2 + 40*n - 40. Let h(a) = -a**2 - a + 1. Let m(k) = 3*d(k) + 120*h(k). What is the remainder when 222/5 - 4*(-1)/(-10) is divided by m(-1)?
14
Let z be (3*-1)/3*-4. Suppose z*o + 0*o - 260 = 0. Suppose 0 = -14*k + 9*k - 2*u + 167, u - 1 = 0. What is the remainder when o is divided by k?
32
Let g = -1 + -1. Let o be 1/g + 164/8. Suppose 4*s + s = o. Calculate the remainder when 9 is divided by s.
1
Let a = -40 - -43. Suppose -13 + 1 = -3*s, 0 = -x - a*s + 29. What is the remainder when 66 is divided by x?
15
Suppose 0 = 4*r - 28. Let n(d) = 2*d**2 - 25*d + 98. Calculate the remainder when n(6) is divided by r.
6
Let x = 26 - 26. Suppose -4*s = -x*s - 40. What is the remainder when 75 is divided by s?
5
Suppose 2*l + w - 103 = 8, l - 5*w = 72. Suppose 4*s + 52 = x + 17, 70 = 4*x - 2*s. Calculate the remainder when l is divided by x.
12
Suppose 3*k - 5*k = 4*m - 52, -2*k - 3*m = -55. What is the remainder when 11 is divided by 2/(-4)*k/(-2)?
3
Let b(q) = 5*q**2 + 26*q - 59. Calculate the remainder when b(-24) is divided by 44.
41
Let u be ((-1)/3)/((-1)/(-3)). Let k(d) = 31*d**2 + 3*d + 2. Calculate the remainder when 119 is divided by k(u).
29
Let w be (-1 + 2)*(-9)/(-3). Suppose 5*k + 37 = w*z - 50, 0 = 2*z + 3*k - 39. Calculate the remainder when 93 is divided by z.
21
Let m = 4 + -12. Let s(j) = j**2 - 24*j + 208. Calculate the remainder when s(11) is divided by ((-9)/4 - 2)*m.
31
Let y = 2146 - 2134. What is the remainder when 95 is divided by y?
11
Let a(v) = 3*v + 27. Let r(l) = l**3 + 8*l**2 - 2*l - 16. Let q be r(-8). What is the remainder when a(q) is divided by 15?
12
Suppose -43*p + 39*p + 112 = 0. Suppose -p*h = -22*h - 156. Calculate the remainder when h is divided by -2*1/(-2)*9.
8
Let q(u) = 2*u**3 + 8*u**2 + 4*u - 2. Let m be q(-5). Suppose -10*n = -9*n - 21. Calculate the remainder when (-742)/(-18) + 16/m is divided by n.
20
Let i be (((-536)/(-1))/4)/(-2). Let w = 92 + i. Calculate the remainder when 60 is divided by w.
10
Suppose 316 = 29*c - 27*c. Calculate the remainder when c is divided by 27.
23
Let t(s) = 2*s**2 - 10*s + 5. What is the remainder when t(8) is divided by ((-380)/60)/(1/(-3))?
15
Let p(k) = -2*k + 3. Let i be p(-10). Suppose 5*s - 27 - i = 0. Calculate the remainder when 11 is divided by 112/20 - (-4)/s.
5
Let k(n) = -n + 6. Let o be k(3). Suppose -5*r + 0*r = -20. Calculate the remainder when o/(-6)*(-3 - 15) is divided by r.
1
Let z be 1 + 1/1*-1. Suppose -2*h - b - 1 = z, 4*b + 25 = 5*h + 8. Calculate the remainder when -2*(2/(-4) - h) is divided by 1.
0
Let f(i) = -5*i + 26. Let j be f(6). Let t(r) = r**2 + r - 1. What is the remainder when t(j) is divided by 3?
2
Suppose -504 = -6*t - 2*t. Let g = -52 + t. What is the remainder when 75 is divided by g?
9
Suppose -n = -2*q - 14, -n + 2*q = -2*q - 12. Let u = 209 - 147. What is the remainder when u is divided by n?
14
Let q(p) = -p**2 - 19*p - 16. What is the remainder when 174 is divided by q(-15)?
42
Suppose -6 = 3*z, 18*q - z = 14*q + 426. What is the remainder when q is divided by 23?
14
Let w(u) = 1 - 5*u + 15*u - 3. What is the remainder when 41 - (-19)/((-38)/(-20)) is divided by w(2)?
15
Let f be 26/39 + 19/3 + -1. Suppose 4 = f*w - 2*w, -2*v + w + 13 = 0. Calculate the remainder when 19 is divided by v.
5
Calculate the remainder when 161 is divided by (-6 - (-192)/40)/((-3)/70).
21
Let z(a) = -5 - 3*a - 2 - 2 - 2. Calculate the remainder when z(-15) is divided by 12.
10
Let l = 249 + -132. Calculate the remainder when l is divided by 30.
27
Let c = -40 + 25. Let i be (-16)/(-5)*c/(-6). Calculate the remainder when 10 is divided by 4/3*36/i.
4
Suppose -153 = -21*t + 561. Calculate the remainder when t is divided by 21.
13
Suppose 4*v + 3 + 3 = -n, -3*n = -4*v - 30. Calculate the remainder when 406 is divided by n.
4
Calculate the remainder when (-684)/3*4/(-6) is divided by (1 + -5)*(-2262)/232.
35
Suppose 0 = -4*p - 80 + 104. Suppose p*x = 13*x - 42. What is the remainder when 22 is divided by x?
4
Let o be ((-30)/(-9) - 1)*-3. What is the remainder when (-121)/o - 8/28 is divided by (5 + (-36)/8)/(3/36)?
5
Let o(k) = -2*k + 4. Let f be o(-10). Suppose -d + 6 = 4*u, -4*d = -0*d + 2*u - f. What is the remainder when 29 is divided by d?
5
Let q(z) = -2*z**2 - 14*z + 8. Let j = 109 + -86. Calculate the remainder when j is divided by q(-7).
7
Suppose 38*o = 7*o + 155. Calculate the remainder when 133 is divided by o.
3
Suppose -5*p = 6*p - 77. Suppose 0 = -4*i + p*g - 2*g + 49, 0 = 3*g + 3. Calculate the remainder when 21 is divided by i.
10
Suppose -3*b = 5*b - 272. What is the remainder when (-9086)/(-91) + 4/26 is divided by b?
32
Suppose -3*d + 600 = 4*h - 215, 5*h + 1300 = 5*d. Calculate the remainder when d is divided by 67.
64
Suppose -7*r = -9*r. Suppose -c + 1 + 2 = r. Suppose 4*b = c*b + 14. What is the remainder when 54 is divided by b?
12
Let y be (-1 - 1)/((-10)/285). Let u = 90 - y. Let c = u + -21. Calculate the remainder when c is divided by 5.
2
Suppose -78 = 5*f - 8*f. Let y = -10 + 15. Let n(c) = 2*c - 3. Calculate the remainder when f is divided by n(y).
5
Suppose -5*g + 39 - 639 = 0. Let a = 137 + g. What is the remainder when a is divided by 7?
3
Let i = 74 + -68. Suppose 2*o = i*o - 44. Suppose -2*p = -13 + 3. What is the remainder when o is divided by p?
1
Suppose 59*l - 247 - 1818 = 0. What is the remainder when 170 is divided by l?
30
Let y = 7 - -127. Calculate the remainder when y is divided by 44.
2
Let l(b) = -b**2 + 28*b - 27. Calculate the remainder when l(24) is divided by 13.
4
Let f(m) = -m**3 + 19*m**2 - 5*m + 15. What is the remainder when f(18) is divided by 9?
6
Let b = 3 - 31. Let i = b - -32. Calculate the remainder when 8 is divided by i.
0
Let y(p) = p**3 + 23*p**2 - 50*p + 57. What is the remainder when y(-25) is divided by 15?
12
Let v be (-9)/(54/(-416))*3/2. Let n = v + -85. What is the remainder when 46 is divided by n?
8
Let q = 694 + -658. Let b(w) = 69*w**3 + 2*w - 1. What is the remainder when b(1) is divided by q?
34
Let c(y) = -y**2 + 3*y + 8. Let r be c(4). Suppose 23 = r*d + 4*b - 1, 2*b = 0. Calculate the remainder when 7 is divided by d.
1
Suppose 0 = -c - c + 8. Suppose -c = 4*f - 0*f. Calculate the remainder when (-108)/8*(f - 1) is divided by 10.
7
Let k(b) = -b**3 - b**2 + 10. Let c be k(0). What is the remainder when 213/9 + c/(-15) is divided by 12?
11
What is the remainder when ((-93)/(-2) + 2)*(-10 - -12) is divided by 17?
12
Let v(s) = s**3 - 15*s**2 - 11*s - 54. Calculate the remainder when 232 is divided by v(16).
24
Suppose -q - 5*d + 134 = -2, 488 = 3*q - 5*d. What is the remainder when q is divided by 54?
48
Let v = 140 + -56. Calculate the remainder when v is divided by 42.
0
Suppose -3*m - 2*p + 28 = -8*m, -m - 4*p = 10. What is the remainder when 2 is divided by m/(0 - 5 - -2)?
0
What is the remainder when ((-5)/(-15))/(5/3945) is divided by 68?
59
Let p(y) = y**2 - 8*y - 22. Let s be p(20). Suppose 0 = 4*d - s - 102. Calculate the remainder when d is divided by 17.
12
Let u(g) = 4*g**3 - 8*g**2 + 3*g + 9. What is the remainder when (2 - -1)/((-4)/(-212)) is divided by u(3)?
51
Suppose -2*i + k + 2 = 6, 4*i = 5*k - 20. Suppose -87 = 