
Suppose 0 = 5*x - 33 - 37. Suppose -2*y + x = -10. Calculate the remainder when y is divided by ((-7)/1)/(-1) - 0.
5
Suppose 0 = -2*c + c + 5, 2*g - c - 79 = 0. Suppose -q + g = q. Suppose -2*r + i = -q, 10 + 5 = r - 5*i. Calculate the remainder when r is divided by 6.
4
Suppose -89 = 2*c + 241. Suppose q = 2*q + 92. Let o = q - c. What is the remainder when o is divided by 19?
16
Let k(q) = q**2 - 6*q + 3. Let v be (7/14)/(186/(-188) + 1). Let i = -28 + v. What is the remainder when i is divided by k(7)?
9
Let k(z) be the first derivative of -z**2 + 6*z + 2. Let r be k(-9). Suppose 2*f - 4 = r. Calculate the remainder when f is divided by 8.
6
Let o = -8786 - -8802. Let l = -238 - -169. Let x = -39 - l. Calculate the remainder when x is divided by o.
14
Suppose 3*n + m = 41, 5 = 32*m - 31*m. Let d(k) = k**3 + 7*k**2 + 2*k - 2. What is the remainder when d(-6) is divided by n?
10
Suppose 3*b = -8*b + 1045. What is the remainder when 470 is divided by b?
90
Let b be 20 + (-3)/2*-2. Suppose -3*t = d - b, -3*t - d + 35 = 2*t. What is the remainder when 34 is divided by t?
4
Suppose -542 = -39*g + 1018. Calculate the remainder when 109 is divided by g.
29
Let j(w) = 10*w**2 + 96*w + 96. What is the remainder when 217 is divided by j(-1)?
7
Suppose -1717 = -41*r - 513 + 1584. Let q = -52 - -77. Calculate the remainder when r is divided by q.
18
Let z be (-20)/(-6)*6/4. Suppose -4 = i, -3*i = -z*p - 8*i + 20. What is the remainder when 43 is divided by ((-30)/4)/((-4)/p)?
13
Let u = -2844 + 2859. Let p be 1/4 - (-33)/12. Suppose p = 4*f - 3*j - 10, 0 = -3*f + 4*j + 8. What is the remainder when u is divided by f?
3
Let b(i) = -i**3 - 5*i**2 + 3*i - 7. Let j(x) = x**3 - 18*x**2 + 17*x + 41. Calculate the remainder when j(17) is divided by b(-6).
8
Suppose 43 = 4*y + 19. Let p(x) = -2*x - 7. Let a be p(5). Let f = y - a. Calculate the remainder when 44 is divided by f.
21
Let x(j) = j**3 - 35*j**2 - 108*j - 27. Calculate the remainder when x(39) is divided by 88.
85
Suppose 4*j - 6 = 14, -3*c + 3*j = -117. Let t = 149 - 66. What is the remainder when t is divided by c?
39
Let s = 49 + -46. Suppose -4*u = -s*d - 54, -3*d + 6*d = -5*u + 81. What is the remainder when 56 is divided by u?
11
Suppose -1 = q - 4. Let l(y) = y**2 + 2*y - 13. What is the remainder when l(-10) is divided by (-33)/11*(-17)/q*1?
16
Suppose 445 = 5*f + 5*q, -q = f + 3*q - 89. Calculate the remainder when f is divided by 15.
14
What is the remainder when 132 is divided by 2*(33/6 + -5)*44?
0
Let n(a) = a**3 + 4*a**2 - 8*a + 5. What is the remainder when 48 is divided by n(-5)?
8
Let y(f) = -20*f - 12. Let i be y(-5). Let x = i + -83. What is the remainder when x is divided by 5?
0
Calculate the remainder when 56 is divided by (-4*6 - -4)*-1.
16
Let z(w) = -16*w**2 - 259*w - 33. Calculate the remainder when z(-16) is divided by 5.
0
Let d = 1544 + -1309. Calculate the remainder when d is divided by 34.
31
Let s be -1 - (-4 - -2)*15/6. Suppose 5*f - s*v - 244 = 0, -2*v + 142 = 3*f - 0*v. Calculate the remainder when f is divided by 17.
14
Let z = 18 + 1. Let y = -27 + 2. Let f = 32 + y. Calculate the remainder when z is divided by f.
5
Suppose 0 = -4*t + 3*l + 88, 0 = 5*t + 2*l - 75 - 12. What is the remainder when 436 is divided by t?
18
Let o(m) = -m**3 - 5*m**2 + 12*m - 6. Let l be o(-7). Suppose 12*i = l*i + 100. Calculate the remainder when i is divided by 7.
4
Suppose -15 = 3*g, 538 = -y + 2*y - 3*g. What is the remainder when y is divided by 35?
33
Suppose 0 = -5*u + p + 15, -2*u - u - 4*p = -9. Let z = 1 + u. Suppose 0 = -z*m + m + 6. Calculate the remainder when m is divided by 1.
0
Suppose -2*f - 5*x + 42 = 0, 4*f + 4*x - 49 = 35. What is the remainder when 312 is divided by f?
18
Let t = 146 - 98. What is the remainder when 122 is divided by t?
26
Let y(b) = 3*b**3 - b**2 - 5*b + 2. Calculate the remainder when y(3) is divided by 12.
11
Let s = -11 - -76. Let w = -75 + 108. Calculate the remainder when s is divided by w.
32
Suppose 0 = 3*u - 8*u - 60. What is the remainder when 37 is divided by (-160)/u*(-6)/(-4)?
17
Let x = 844 - 827. What is the remainder when 55 is divided by x?
4
Let z = 327 + -312. Calculate the remainder when z is divided by 11.
4
Let f(h) = -h**2 + 12*h - 2. Let p be f(13). Let i = p + 14. What is the remainder when 8 is divided by i + (-10)/8*-4?
0
Let i = -329 + 201. Let w = 187 + i. What is the remainder when w is divided by 33?
26
Let p(k) = 2*k - 14. Let r be p(8). Suppose -r*n = 3*n + v - 65, -n - 5*v = -37. Let m(w) = 7*w - 9. Calculate the remainder when m(n) is divided by 19.
18
Suppose -3*p - 3 = -18. Suppose -4*c = -p*r + 17, 4*c + 4*r - 33 = -r. Suppose 0 = f + c*f - 222. What is the remainder when f is divided by 19?
17
Let a = 722 + -709. Let b be (-14)/3 + (-2)/6. Let s = b + a. Calculate the remainder when 15 is divided by s.
7
Let h(m) = 28*m - 32. Calculate the remainder when h(5) is divided by 32.
12
What is the remainder when 188 is divided by (11/3 + (-1 - 3))*-21?
6
Let h = -26 + 30. Suppose -3*o + 4*o = 3*k + 23, 3*k - 77 = -h*o. Calculate the remainder when o is divided by 11.
9
Let d(u) = -26*u - 3. Let x = -3 - 2. Let p be d(x). Let a = p + -63. Calculate the remainder when a is divided by 22.
20
Let b = -425 - -554. Calculate the remainder when b is divided by 12.
9
Let z be 12/(-20) - (-3)/5. Let g = -165 - -298. Suppose 4*x = -0*c + 3*c - g, -5*c - 3*x + 241 = z. What is the remainder when c is divided by 12?
11
Suppose 0 = -0*q - 3*q + 15. Suppose i + 6 + 2 = c, q = -i. Calculate the remainder when c is divided by 2.
1
Calculate the remainder when 542 is divided by ((-160)/15 - 0)*-3.
30
Suppose 17*q + 5*z + 7660 = 22*q, 5*q - 2*z - 7660 = 0. What is the remainder when q is divided by 73?
72
Let d(m) = 7*m**2 - 2*m + 2. Let j be d(3). Suppose 0*a + 55 = 4*a - 5*g, j = 4*a - g. Calculate the remainder when 41 is divided by a.
11
Let k(u) = u**3 - 10*u**2 + 3*u + 8. Suppose -q - q - 112 = 2*d, 5*q = 5*d - 300. What is the remainder when k(10) is divided by 12/(-42) + (q/7)/(-1)?
6
Suppose 3*x - 108 = -x. What is the remainder when -26*(-1 - -2 - 3) is divided by x?
25
Let u = -2834 + 2901. Calculate the remainder when 468 is divided by u.
66
Let t = 66 + -41. Let r(j) = -j**2 + 9*j - 16. Let c be r(4). Suppose -c*y + 200 = -4*b, 2*y - 5*b - 102 = -b. What is the remainder when y is divided by t?
24
Suppose -39*x = -2293 - 788. What is the remainder when x is divided by 9?
7
Suppose -2*q = -4*o + 6, -o + q + 15 = 4*o. Suppose -20 = -r + 3*m, -5*m + m = o*r. Suppose 0 = 4*g - 9*g + 65. What is the remainder when g is divided by r?
3
Suppose -t = o - 24, -t + 5*o = -2*t + 32. Let w = t - 10. Calculate the remainder when w is divided by 20/3 - 1/(-3).
5
Let b = 45 + -23. Let m = -13 - -43. What is the remainder when (39/6)/(3/m) is divided by b?
21
Let g(r) = -r**3 + 8*r**2 + r - 24. Let a = -3 - -5. Suppose 0 = -o + 5, a*x + o - 111 = 4*o. Calculate the remainder when x is divided by g(7).
31
Let h(f) be the third derivative of -47*f**4/8 + f**3/3 + 9*f**2. Calculate the remainder when h(-1) is divided by 24.
23
Let m(p) = -15*p - 46. Let a(j) = -j**3 - j**2 + j - 7. Let s be a(0). What is the remainder when m(s) is divided by (30 - -1)/(3 - 2)?
28
Let w = 72 + -133. Let f = w - -91. Calculate the remainder when 115 is divided by f.
25
Let k(y) = -y**2 + 26*y + 151. Calculate the remainder when 142 is divided by k(30).
18
Let a(t) = -t**2 + 5*t + 12. Let n be a(12). Let w = n - -77. What is the remainder when 34 is divided by w?
4
Let k(l) = -l**3 + 5*l**2 + 5*l. Let m(w) = 3*w**3 - 9*w**2 - 11*w. Let r(g) = 5*k(g) + 2*m(g). What is the remainder when 69 is divided by r(-6)?
15
Let g(r) = 2*r**2 - 10*r - 96. Calculate the remainder when g(-7) is divided by 37.
35
Suppose -239 = -3*d + b, 235 = 4*d + 3*b - 101. Calculate the remainder when d is divided by 14.
11
Let l(v) = -v**3 + 10*v**2 + 11*v + 1. Let g be l(11). Let u = g - -1. Calculate the remainder when u is divided by 1.
0
Let j(q) = -q**3 - 2*q**2 - 3*q - 3. Suppose -14*m + 118 = -15*m. Let s = m - -121. Calculate the remainder when j(-2) is divided by s.
0
Let n(m) = -m**3 - 6*m**2 - 4*m + 7. Let x be n(-5). Suppose -x*c = 4*b - 3*c - 177, 102 = 2*b + 4*c. Wh