 q = 57 + -3. What is the remainder when q is divided by x?
10
Let q(s) = s**2 + 3*s + 4. Let i be q(-5). Calculate the remainder when 51 is divided by -1*-2*i + 0 + -2.
25
Suppose 6*a - 38 = 2*a + f, -4*a + 44 = 2*f. Let s = 27 - a. Calculate the remainder when s is divided by 9.
8
Suppose 3*y + 7 = 58. Suppose 0 = 18*r - y*r - 77. What is the remainder when r is divided by 20?
17
Let x(i) = -i**3 + 37*i**2 + 123*i - 91. What is the remainder when 180 is divided by x(40)?
6
Suppose -y = 4*r + 28, -3 = r + 1. What is the remainder when 8/14*(-1806)/y is divided by 22?
20
Suppose 27 + 37 = p - 2*m, 2*p = m + 137. What is the remainder when p is divided by 27?
16
Suppose 2 = 2*c - 6. What is the remainder when c is divided by 6*10/(-15) - -7?
1
Let q(m) = m**2 - m. Let b(c) = -c**3 + 13*c**2 + 10. Let l be b(13). What is the remainder when (-2340)/(-100) + (-4)/l is divided by q(-3)?
11
Suppose -11*j - 3388 = -319. Suppose -6*d + d + 190 = 0. What is the remainder when d is divided by (2/5 - j/15) + 1?
18
Calculate the remainder when 372 is divided by ((-22)/6)/((-252)/27 + 9).
9
Suppose -5*o + 279 = -326. Let s = o + -78. Calculate the remainder when s is divided by 15.
13
Let c = 1293 + -1253. Calculate the remainder when 153 is divided by c.
33
Let z be (-2 + -1 - -3)/(-1). Suppose z = -p - 4*k + 32 + 1, -5*k - 48 = -4*p. Suppose -237 = -4*u - 45. Calculate the remainder when u is divided by p.
14
Let u(a) = -4*a + 13. Let c be u(3). Suppose -126 + c = -5*r. Calculate the remainder when 47 is divided by r.
22
Let a(v) = -3*v + 1. Let u be a(-2). Let g = u + 10. Suppose -8 = -j + g. What is the remainder when j is divided by 9?
7
Let f(c) = 9*c + 23. What is the remainder when 121 is divided by f(2)?
39
Suppose 3*c - 5*d - 89 = 0, 0 = d + 3 + 1. Let m(t) = 3*t**3 + 29*t**2 + 6*t - 24. Calculate the remainder when m(-9) is divided by c.
15
Let a = -42 + -3. Let g = a - -97. Let s = 34 + -16. Calculate the remainder when g is divided by s.
16
Let d(m) = -3*m + 11. Let w be -13 - (3 + (4 - 4)). Let s(i) = i + 20. Calculate the remainder when d(w) is divided by s(0).
19
Let m = 2428 - 2409. Let i(n) = -19*n - 3. Calculate the remainder when i(-2) is divided by m.
16
Suppose 0 + 15 = 5*x. Suppose -2*i + 0*i - 16 = x*j, 3*j = 4*i + 14. Calculate the remainder when 28 is divided by 32/i*50/(-20).
12
Suppose 5*c - 3*j + 31 = 0, -c - j = 4*c + 23. Let d(l) be the first derivative of -l**3/3 - 8*l**2 - l - 5. What is the remainder when d(c) is divided by 11?
10
Let b(u) = -u**3 + 4*u**2 + 3*u + 7. Let i be -8*(28/(-8) + 3). What is the remainder when 74 is divided by b(i)?
17
Let n(a) = -a**3 + 2*a**2 + 9. Let v be (-6)/2 + 5 + -5. Suppose 4*f + 4*t = 104, -4*f + 0*t + 5*t + 122 = 0. Calculate the remainder when n(v) is divided by f.
26
Let l(g) = g**3 - 5*g**2 + 5*g + 1. Let v be l(4). Suppose -5 = -6*f + f, 2*n + v*f = -25. What is the remainder when 58 is divided by -1 - n - (-3 - -5)?
10
Suppose 461 - 2001 = -70*n. Calculate the remainder when 24 is divided by n.
2
Suppose 5*i - 29 = -d, 5*d - 2*i - 40 = -6*i. Let a = -2 - 3. Let o = a + 12. Calculate the remainder when o is divided by d.
3
Let n = -55 - -92. Calculate the remainder when 0 - 1266/(-18) - (-4)/6 is divided by n.
34
Suppose 3*v + 2*f = 12, -7*v + 18 = -2*v + 4*f. Let d = -4 - 1. What is the remainder when v is divided by 4*(-1 - 4)/d?
2
Suppose 0 = 2*m - 14 - 6. Calculate the remainder when 26 is divided by m.
6
Let a(b) = -b**3 + 1760*b**2 + 3 - 18*b + 1 - 1749*b**2 + 11. Let u = -44 - -77. Calculate the remainder when a(8) is divided by u.
30
Suppose 3*x = -5*u + 117, 16 + 78 = 4*u + 2*x. What is the remainder when 88 is divided by u?
16
Let f = -45 + 78. Let z(g) = 32*g + 3 - 17*g - 16*g. What is the remainder when f is divided by z(-6)?
6
Let y = 388 - 245. Let k = -79 + 100. What is the remainder when y is divided by k?
17
Let z(s) = 285*s**2 - 3*s + 2. What is the remainder when z(1) is divided by 36?
32
Let c(k) = 4*k - 36. Let s be c(10). Suppose s*d - 10 - 90 = 0. Calculate the remainder when 38 is divided by d.
13
Let o(j) = j**3 + 13*j**2 + 25*j + 38. Calculate the remainder when 10 is divided by o(-11).
0
Suppose -7*v - 10*v + 289 = 0. Calculate the remainder when 82 is divided by v.
14
Suppose k - 5*t = 16, -4*k - t + 179 = 2*t. Let a = -7 - -1. Calculate the remainder when k is divided by 3 - -6*(-8)/a.
8
Let t = -277 + 165. Let p be (t/24)/((-2)/(-15)). Let a = p - -60. What is the remainder when 97 is divided by a?
22
Let c = -6 + 55. Suppose 135 = 189*t - 180*t. Suppose t = 4*l - c. Calculate the remainder when 61 is divided by l.
13
Let x be (3 - (2 + 2))*0. Suppose x*i - 74 = -i. Let t = i + -40. Calculate the remainder when t is divided by 9.
7
Suppose 0 = -2*l + 49 + 201. Suppose 4*c + 4 = 24, 3*c + l = 2*a. Let j = 133 - a. Calculate the remainder when j is divided by 22.
19
Suppose -110 = -4*l + 3*c + 227, 5*l = -5*c + 465. Calculate the remainder when l is divided by 10.
8
Suppose w - 85 = -3*q, q - 2*w = 2*q - 35. Calculate the remainder when 80 is divided by q.
26
Let y = 1225 + -1216. What is the remainder when 359 is divided by y?
8
Let a(u) = u**2 - 2*u + 7. Calculate the remainder when a(8) is divided by 5.
0
Suppose -2*c = -70 - 20. Let z = -42 + c. Let d(y) = y**2 + 7*y + 7. What is the remainder when z is divided by d(-6)?
0
Let m(n) = 5*n**3 + 3*n**2 + 8*n. Let o(b) = 6*b**3 + 3*b**2 + 8*b - 1. Let f(r) = -5*m(r) + 4*o(r). What is the remainder when f(-4) is divided by 16?
12
Let r(k) = k**3 + 7*k**2 - 14*k - 10. Calculate the remainder when 615 is divided by r(-7).
87
Suppose -5*c + 3*o = -65, c - 4*o + 2*o - 6 = 0. What is the remainder when 718 is divided by c?
14
Let j(z) = 28*z + 112. Calculate the remainder when 287 is divided by j(0).
63
Suppose -3*b = -b. Suppose 3*k - 58 + 19 = b. What is the remainder when (-2)/(-4) + (-94)/(-4) is divided by k?
11
Let u(v) = -51*v - 801. Let o(w) = -26*w**3 + 1. What is the remainder when o(-1) is divided by u(-16)?
12
Suppose 4*z = 4*u + 1652, 416 + 827 = 3*z - 2*u. What is the remainder when z is divided by 11?
10
Suppose -q + 3 = c, -q + 12 = -3*c + 17. Suppose 13*h = 10*h + x + 138, c*x = 6. What is the remainder when h is divided by (1 + (-54)/4)*-2?
22
Suppose -9*o = -12*o - 2*l - 2, 5*o - 2 = -2*l. What is the remainder when 8 is divided by o?
0
Suppose -15*w - 350 = -4*r - 13*w, 3*w = 9. Calculate the remainder when 710 is divided by r.
87
Suppose w + 2*w - 60 = -3*o, 0 = -4*w. Calculate the remainder when 67 is divided by (-14)/10*o/4*-1.
4
Let l(i) = 414*i - 110. Calculate the remainder when l(4) is divided by 86.
84
Calculate the remainder when (280/(-24))/((-10)/252) is divided by 103.
88
Let g = 137 - 54. What is the remainder when g is divided by 17?
15
Let t(z) = -15 + 8*z - 7*z + 3*z. What is the remainder when 24 is divided by t(7)?
11
Let o(t) = t**3 - 8*t**2 + 2*t - 5. Let i be o(8). Suppose 32 = 3*c - 2*m, c = -6*m + 11*m - i. What is the remainder when 53 is divided by c?
11
Let m = 41 + -22. What is the remainder when ((-60)/8 + -11 + 7)*-8 is divided by m?
16
Suppose 30*c - 781 = 1979. What is the remainder when c is divided by 31?
30
Let m = -13 - -16. What is the remainder when (6*m)/(4/6) is divided by (56/(-6))/(10/(-15))?
13
Let u(a) = -a**3 + 3*a**2 + 12*a - 16. Let z be u(7). Calculate the remainder when 85 is divided by (-4 + z/12)/((-2)/3).
19
Suppose 0 = 3*b + 37 - 10. Let l = 46 + b. What is the remainder when 145 is divided by l?
34
Let s = -89 - -47. Let x = -18 - s. What is the remainder when x is divided by 10?
4
Suppose 0 = 3*n - 6*n + 66. Suppose 0 = -b - 5*s + 7, 3*b + s - 20 - 15 = 0. What is the remainder when n is divided by b?
10
Suppose 221 = 28*s - 11*s. Calculate the remainder when 51 is divided by s.
12
Let v be 24/(-60) - 307/(-5). Suppose -4*h = -55 - 65. Let q = v - h. Calculate the remainder when q is divided by 8.
7
Suppose -t + 60 = 4*t. Suppose 31 = g - 3*j, g + 2*j - 70 = -g. Calculate the remainder when g is divided by t.
10
Suppose 49*h - 69*h = -1720. What is the remainder when h is divided by ((-88)/6)/((-1)/3)?
42
Suppose 0*r = -4*r - v + 148, 4*v = -5*r + 174. Let y be (-3 - 0)*485/15. Let x = y - -107. What is the remainder when r is divid