ose 0 = t - 5*t + 32. What is the remainder when t is divided by 5*(i + (4 - -1))?
3
Let o(p) = p**2 + 16*p + 2. Let x be o(-16). Suppose 19 = w - 3*q, 7*w - x*w - 55 = 5*q. What is the remainder when 19 is divided by w?
5
Suppose -14*q + 208 = 2*q. Suppose 180 = -9*m + q*m. What is the remainder when m is divided by 16?
13
Suppose 0 = 3*y - 5 - 25. Calculate the remainder when y - -1*(-8)/(-4) is divided by 7.
5
What is the remainder when -5 + (-2)/(-4)*(1623 - -25) is divided by 41?
40
Suppose 147 - 815 = -2*j. What is the remainder when j is divided by 67?
66
Suppose -9*b = -8*b. Suppose 0 = -b*a - 2*a + 80. Let r = a + -19. Calculate the remainder when r is divided by 6.
3
Let a = 247 - 240. Calculate the remainder when 123 is divided by a.
4
Suppose 7*j - 25737 = -16*j. Calculate the remainder when j is divided by 40.
39
Calculate the remainder when (-340)/25*(-11 + 6) + -2 is divided by 2/(-7) + 121/7.
15
Let u(l) = l**3 - 3*l**2 + 5*l + 6. Let s = -23 - -32. What is the remainder when u(4) is divided by s?
6
Let i = 21 + -13. Let a(h) = -h**2 + 20*h + 98. Let g be a(24). Suppose -g*s + 10 = 4. Calculate the remainder when i is divided by s.
2
Let w(u) = -2*u**2 + 84*u + 21. Calculate the remainder when w(39) is divided by 88.
79
Suppose 14*a = 11*a - i + 667, 4 = i. Calculate the remainder when a is divided by 62.
35
Calculate the remainder when 16 is divided by 15 - -3 - (1 + 4).
3
Suppose 3*o - 5*o = -62. Suppose 4*x - 57 = o. Suppose x = u - c, 0 = -c - 6 + 2. Calculate the remainder when u is divided by 10.
8
Let u = 131 - 118. Calculate the remainder when 70 is divided by u.
5
Suppose -3*a + 6 = -0*a. Let r be (4 + -16)*a/(-3). What is the remainder when 132/(r + -4) - -3 is divided by 13?
10
Suppose -5*b + 15 + 5 = 0. Suppose -4*d = -q, b*d = 3*q - 4*q + 32. Calculate the remainder when 77 is divided by q.
13
Let l(i) = -i + 1. Let z be l(-1). Calculate the remainder when 56 is divided by -2 + z + -1 - (-20 - -7).
8
Let l be 1/(-2) + 25/2. Let u = -37 + 22. Let c = l - u. Calculate the remainder when 80 is divided by c.
26
Suppose 0 = 2*r - r + 3, -3*r = -3*c + 63. Suppose -23*j + c*j = -135. Calculate the remainder when 107 is divided by j.
26
Suppose -r + 421 = -13*n + 15*n, -r = -n - 412. Calculate the remainder when r is divided by 26.
25
Let d be 18/(2*(-1 + 2))*39. Suppose d = 5*s + 4*s. Calculate the remainder when 154 is divided by s.
37
Suppose 48 = -3*z - 3*n, -7 = z - 5*n + 3. Let b(w) = w**3 + 16*w**2 + 14*w + 2. What is the remainder when b(z) is divided by 8?
1
Suppose -2*j + 5*n = -0*j - 34, 68 = 4*j - 5*n. Calculate the remainder when 66 is divided by j.
15
Let v(f) = 2*f - 1 + 6*f + 4 - f. Let r be v(5). Let b = r + -19. Calculate the remainder when 35 is divided by b.
16
Suppose -57 = -7*r + 6*r. Let h = r + 83. Calculate the remainder when h is divided by 29.
24
Suppose 33 = 8*s - 71. Calculate the remainder when (-2)/(-17) - ((-744)/34 + -3) is divided by s.
12
Let l = -181 + 96. Let v = -9 - l. What is the remainder when v is divided by 26?
24
Let n = 68 - 46. Let f(k) = 4*k**3 - 4*k**2 + 4*k. Calculate the remainder when f(3) is divided by n.
18
Suppose -3*m + 6 = -4*k, -4*k + 4 = 10*m - 8*m. Suppose -5*n + 13 + 27 = k. What is the remainder when n is divided by 3?
2
Let p(n) = n**3 - 6*n**2 - 5*n. Let x be p(7). Let y be ((-30)/45)/((-2)/15). Suppose -y*d = -x - 61. What is the remainder when d is divided by 8?
7
Let l be (-16 + -2)/((-4)/(-6)). Let n = l - -61. What is the remainder when 64 is divided by n?
30
Let x(p) = p**2 - 8*p + 7. Let u be x(6). Let k(d) = -14*d - 25. Calculate the remainder when k(u) is divided by 6.
3
Let l = -110 - -113. Suppose -2*v + 16 = -5*y, y + l*y - 4 = -4*v. What is the remainder when 13 is divided by v?
1
Suppose 5*f - 520 = 4*n, -2*f + 3*n + 140 = -75. Let z = -58 + f. Calculate the remainder when 167 is divided by z.
41
Let f(t) = t**2 + 26*t + 247. Calculate the remainder when f(-12) is divided by 26.
1
Let l = -7 + 6. Let m be (-2)/(4/2)*-25. Let w = m + l. What is the remainder when 93 is divided by w?
21
Let y = -10 + 14. Let h(k) = -4*k**2 + 4*k**2 + 5*k - k**2 + 0*k. What is the remainder when 14 is divided by h(y)?
2
Let t = 19 + -16. Let o = -8 + -4. What is the remainder when (-27)/o + 6/8 is divided by t?
0
Let j(h) = -2*h**2 - 4*h + 3. Let a be j(-3). Calculate the remainder when 26 is divided by (-84)/(-6) + (a - 1).
6
Suppose n + 181 = -m + 1284, 2*n - 2198 = -4*m. What is the remainder when 4/14 - n/(-21) is divided by 27?
26
Calculate the remainder when 113 is divided by -18*(66/(-18) + (-15)/(-9)).
5
Let q = 104 - 95. Calculate the remainder when 20 is divided by q.
2
Let s(k) = -19*k + 125. What is the remainder when 69 is divided by s(5)?
9
Let f(v) = v**2 + 12*v + 5. Let m be (12/(-15))/(3/45). Let b(x) = 2*x + 3. Calculate the remainder when b(2) is divided by f(m).
2
Suppose -781 - 69 = -25*i. Calculate the remainder when 80 is divided by i.
12
Let s = -2 - -13. Suppose -12 = 3*v + 30. Calculate the remainder when (v/(-4))/((-4)/(-48)) is divided by s.
9
Let d = -2 + 10. Let u = 120 - 14. Suppose -u*k = -111*k + 110. What is the remainder when k is divided by d?
6
Let i be 713/(-69) + (-2)/(-6). What is the remainder when (-36)/i - 8/(-20) is divided by 2?
0
Suppose 5*b = -5*d - 10, 2*b + 5*d + 4 = 3. What is the remainder when b*(5 - 64/3) is divided by 17?
15
Let w = 1 + -1. Suppose w = 4*m - 12, 2*m - 56 = 2*o - 7*o. What is the remainder when (7 + -8)/(3/111*-1) is divided by o?
7
Suppose -5*x + 4*m + 301 + 30 = 0, m + 67 = x. Suppose 0 = -5*u + 15, -2*s + s = -u - 30. What is the remainder when x is divided by s?
30
Let p(l) = 12*l + 507. Calculate the remainder when p(15) is divided by 13.
11
Let h = -1393 + 1407. What is the remainder when 153 is divided by h?
13
Suppose -5*t + 46 = -3*t + 4*h, t - 38 = -5*h. Suppose 157 + 287 = 3*g. Suppose -g = -0*z - 4*z. What is the remainder when z is divided by t?
11
What is the remainder when (266/21 + 0)/(5/615) is divided by 71?
67
Let m be 10/50 + ((-1924)/(-10))/(-2). Let r = m + 115. What is the remainder when 32/(-6)*21/(-2) is divided by r?
18
Calculate the remainder when (-1 - -45)/(11 + 126/(-12)) is divided by 15.
13
Suppose 30 = -4*n + 30. Suppose -4*a + 125 + 27 = n. What is the remainder when a is divided by 8?
6
Suppose 68*d - 76 = 64*d. Calculate the remainder when d is divided by (9/(-6))/((-3)/16).
3
Suppose -4*t - 171 = 2*y - 1211, 0 = 3*y. Calculate the remainder when t is divided by 87.
86
Let f = -1 - -5. What is the remainder when f is divided by (-6)/15*(-6 + 1)?
0
Suppose -2*f - 2*f - 4*z + 340 = 0, -2*f + 2*z + 190 = 0. Calculate the remainder when 99 is divided by f.
9
Suppose -1164 - 460 = -5*w - 4*k, -4*w - 6*k = -1302. Calculate the remainder when w is divided by 21.
9
Let t(q) = -q**3 + 12*q**2 + 11*q + 29. Let r be t(13). Suppose -r*i + 80 = i. Calculate the remainder when 117 is divided by i.
17
Let t(l) = -22*l - 139. Calculate the remainder when t(-16) is divided by 29.
10
Let b = 3 + -1. Suppose -b*i + 40 = 2*i. Let o(q) = -q**3 + 10*q**2 + 2*q - 10. What is the remainder when 27 is divided by o(i)?
7
Let y = -1997 + 2002. Suppose j + 5*w - 19 = 0, -j - 5*w + 37 = 2*j. What is the remainder when j is divided by y?
4
What is the remainder when (600/(-32))/(2 + (-82)/40) is divided by 42?
39
Suppose 42*g - 208 = 34*g. Calculate the remainder when 43 is divided by g.
17
Let o(x) be the second derivative of -x**4/12 - 3*x**3/2 + 8*x**2 + 11*x. Calculate the remainder when 117 is divided by o(-8).
21
Let h = 6 + 1. Calculate the remainder when (-280)/1820 - (-327)/13 is divided by h.
4
Suppose 761 - 5 = 6*w. Calculate the remainder when w is divided by 19.
12
Let d(g) = -g**3 - 5*g**2 + 3*g + 11. Let b = 20 + -26. Calculate the remainder when 86 is divided by d(b).
28
Let g(m) = -m**3 + 11*m**2 - 13*m - 12. What is the remainder when -1*28*(-8 - -1) is divided by g(9)?
31
Let c(r) = 13*r - 4. Let x be c(3). Suppose 250 = 19*q - x. Calculate the remainder when 27 is divided by q.
12
Let w = 50 + -22. Let y = 51 - w. What is the remainder when 67 is divided by y?
21
Suppose -3*j = 12, 4*x + 6*j - 9*j = 448. Calculate the remainder when 313 is divided by x.
95
Suppose 0 =