. What is the remainder when n*(50/6 - 1) is divided by q?
6
Let p(i) = 16*i**2 - 3*i + 4. Let j be p(1). Let l = -3 + j. Calculate the remainder when 69 is divided by l.
13
Let o be (2/(-1))/((-18)/27). Let m(v) = 32*v - 1. Let b be m(1). Suppose -b = 2*g - o*g. What is the remainder when g is divided by 8?
7
Let m be (-1)/6*(-6 + 4)*138. Suppose 992 = 11*j + m. Calculate the remainder when j is divided by 23.
17
Suppose -2184 = f - 2199. Calculate the remainder when 149 is divided by f.
14
Suppose 3376 + 2123 = 13*p. What is the remainder when p is divided by 99?
27
Suppose 2*u = y - 46, -2*u + 225 = 3*y + 71. Let g(a) = -a**2 - 6*a + 21. Calculate the remainder when y is divided by g(-5).
24
Suppose w + s - 2*s = 42, 0 = -4*w + 5*s + 169. Let a = 81 - 11. Let v = a + -55. What is the remainder when w is divided by v?
11
Suppose 2*z - 6*z = -16. Suppose k - 4*k - 6 = -3*o, k = 2*o - z. Suppose 2*b - 19 - 31 = k. Calculate the remainder when b is divided by 13.
12
Let d be (-5)/((-20)/(-6))*28/(-21). Suppose 4*v + 24 = 5*n, -d*n - 36 = -6*n - v. What is the remainder when n is divided by 7?
1
Let l = 996 + -732. What is the remainder when l is divided by 38?
36
Suppose 4*g = -2*g + 378. What is the remainder when 247 is divided by g?
58
Calculate the remainder when 78 is divided by (2 - 1)/(-2*1/(-26)).
0
Suppose -4*a + 0*z + 10 = -z, -4*z - 6 = a. Let v = 169 + -95. Let j = v + -73. What is the remainder when a is divided by j?
0
Let p(i) = 3*i**3 + 2*i**2 + 3*i - 3. Let r be p(2). Suppose r = -2*k - 13. Calculate the remainder when 36 is divided by (-3 - 0) + (-8 - k).
10
Let y = -27 - -25. Let n be 1 + 14 + (-1 - y). Suppose 84 - n = 2*m. What is the remainder when 65 is divided by m?
31
Let x(f) = -2*f**3 + 27*f**2 + 18*f - 34. Suppose 2*a = -4*l + 388, 3*a - 376 = a + 2*l. What is the remainder when x(14) is divided by a/45 + 2/(-9)?
2
Let f(i) = i**2 - 8*i - 6. Let s be f(10). Let m(a) = -a**3 + 14*a**2 + 5. Calculate the remainder when 58 is divided by m(s).
3
Suppose -w - 6*r = -9*r - 21, r - 89 = -5*w. What is the remainder when 351 is divided by w?
9
Let g = 368 + -324. What is the remainder when g is divided by 12?
8
Let i(n) = n**2 - 3*n - 5. Let u(h) = -h**2 + 5*h - 2. Let x be u(3). Suppose -11 - 13 = -x*q. What is the remainder when i(-4) is divided by q?
5
Let q = -389 - -411. What is the remainder when 203 is divided by q?
5
Suppose -30*b = -1116 - 1404. What is the remainder when 1929 is divided by b?
81
Let y = -334 + 361. Suppose -5*h - 4*a + 729 = -41, 0 = -h + 3*a + 173. What is the remainder when h is divided by y?
23
Suppose -3*k + 3*m + 24 = 0, -11*k + 2*m - 82 = -16*k. Calculate the remainder when (-2)/(4/(-27))*2 is divided by k.
13
Let x(a) = a - 10. Let f be x(12). Suppose -f*u - 41 = -5*l, -l - 4*u + 2*u + 13 = 0. Calculate the remainder when 43 is divided by l.
7
Suppose -4*w + 21 - 1 = 0. Let z be 0 + 29 + -6 + 2. Let o = z + -21. Calculate the remainder when w is divided by o.
1
Let j = -11 - -9. Let y = j - -6. Suppose -y*k + 39 = 3. Calculate the remainder when 15 is divided by k.
6
Let n(w) = w**2 + 2*w + 36. Let k be n(0). Let c = -21 + k. Calculate the remainder when 39 is divided by c.
9
Let s(r) = r**3 + 5*r**2 - 6*r + 13. Let k be s(-6). Suppose -3*q + 64 = k. What is the remainder when 84 is divided by q?
16
Let g = -83 - -79. Let b(y) = -5*y**3 - 4*y**2 + 3*y - 6. Calculate the remainder when b(g) is divided by 48.
46
Let d(r) = 148*r**2 + 2*r + 1. Let k(q) = -q**3 + 11*q**2 + 30*q - 22. What is the remainder when d(-1) is divided by k(13)?
27
Let l = -2488 - -2511. Suppose 2*x + 0*x - 6 = 0. Suppose 5*r - 2*k - 3*k = 245, r = x*k + 57. What is the remainder when r is divided by l?
22
Suppose 7*l + 18 = 9*l. Suppose -l*a + 261 + 270 = 0. Calculate the remainder when a is divided by 4.
3
Suppose -19 = -2*a - 129. Let i = a + 101. Calculate the remainder when i is divided by 24.
22
Suppose 0 = 8*c - 26*c + 2124. What is the remainder when c is divided by 15?
13
Suppose 31 = 7*z - 74. What is the remainder when 41 is divided by z?
11
Calculate the remainder when 395 is divided by (-1*(-24)/20)/(30/1100).
43
Suppose -16 = -3*g + 5. Suppose 3*f - 13 = 2*f. Suppose 0 = 3*t + f - 70. What is the remainder when t is divided by g?
5
Let x be (3 - (-5)/(-2)) + 139/2. What is the remainder when 41 is divided by (x/15)/((-3)/(-9))?
13
Let q = 209 - 33. Let y = q + 7. What is the remainder when y is divided by 37?
35
Suppose 0 = -0*n + 2*n - 8, 0 = 4*r + 5*n - 28. What is the remainder when 26 is divided by r?
0
Let s(z) = -z**3 - 6*z**2 - 7*z - 1. What is the remainder when s(-5) is divided by (18/(-15))/((-3)/5)?
1
Suppose -34 = -5*m + h, 2 - 21 = -2*m - 5*h. Suppose -6*w = -61 - 59. Calculate the remainder when w is divided by m.
6
Let m = 41 + -13. Suppose 0 = 2*u - 1 + 11. Calculate the remainder when m is divided by 3 + u/(-5)*7.
8
Let f be (-231)/14*4/6. Let r = 12 - f. Calculate the remainder when 45 is divided by r.
22
Suppose -p + 9 = -6. Let f = p - 11. Calculate the remainder when ((-5)/3)/(11/(-33)) is divided by f.
1
Suppose -4*x + 16 = -2*d, -4*x - 3 = -5*x + d. Calculate the remainder when 70 is divided by x.
0
Let a be 1/4 - 0 - (-1258)/(-136). Calculate the remainder when (3/a)/(1/(-129)) - -2 is divided by 6.
3
Let r be 2/(-6)*(2 + 1). Let l = 2 + -1. Let m = l - r. What is the remainder when 3 is divided by m?
1
Calculate the remainder when 63/5 - 6/(-15) is divided by (-1)/(77/(-14) - -5).
1
Suppose h - 4*v = 332, 5*v + 186 = -5*h + 1796. What is the remainder when (-300)/(-5) - 3 - 4 is divided by (2/6)/(4/h)?
26
Let a be ((-6)/4)/((-3)/8). Suppose 3*u + m = 34, 2*m = 3*u - a*u + 13. What is the remainder when 32 is divided by u?
10
Suppose 6*t + 27 = 123. Let j(r) be the first derivative of r**4/4 - 16*r**3/3 - r**2/2 + 23*r + 2. What is the remainder when 20 is divided by j(t)?
6
Suppose 3*q - 23*q + 660 = 0. What is the remainder when q is divided by (-1)/4 + (-85)/(-4)?
12
Suppose -4*y + c = -116, -4*y - c - 2*c = -100. Suppose 3*f = 2*u - 213 + y, 3*u - 261 = -f. What is the remainder when u is divided by 23?
19
Let v(n) = n**3 + 18*n**2 - 22*n + 32. Calculate the remainder when v(-19) is divided by 9.
8
Let i(t) = 6*t**2 - 5*t. Let n be i(4). Suppose 0 = -o - o + n. Calculate the remainder when o is divided by 13.
12
Suppose 0 = -4*n - 82 + 370. Let f = -50 + n. What is the remainder when 86 is divided by f?
20
Suppose -4 = -4*r - 5*o + o, -2*r + o = -11. Suppose 46 = -r*j + 274. What is the remainder when j is divided by 30?
27
Calculate the remainder when (638 - 66) + (-3)/((-6)/(-4)) is divided by 22.
20
Let w(x) = -x**3 - x**2 + 22. What is the remainder when 87 is divided by w(0)?
21
Let s be (-78)/4*176/(-66). Let i = 57 - s. What is the remainder when 15 is divided by i?
0
Let w be ((-14)/(-4))/((-6)/(-12)). Suppose -312 = -11*o + w*o. Calculate the remainder when o is divided by 20.
18
Let l be 9/(-1)*(-1 - -4). Let d = l - -12. Calculate the remainder when 37 is divided by d/(-20) - 154/(-8).
17
Let w(h) = h + 4. Let i be w(2). Suppose i = -3*x, -4*j + 3*x + 107 + 7 = 0. What is the remainder when j is divided by 10?
7
Suppose 0 = -5*i + 4*g + 10, -4*i + 0*g - g + 29 = 0. What is the remainder when (-8)/12 - 462/(-18) is divided by i?
1
Suppose 0 = 22*o - 584 + 56. What is the remainder when o is divided by 13?
11
Let q = -5 - -11. Let g = 27 + -24. Calculate the remainder when 7*9*1/g is divided by q.
3
Suppose 24*c - 147 = 19*c + 2*j, -c + 3*j + 19 = 0. Calculate the remainder when 243 is divided by c.
26
Suppose 4*f - 5*a = 560, -3*f + 5*a + 0*a + 420 = 0. What is the remainder when f is divided by 6?
2
Suppose 4*z = 2*w - 16, 0 = -4*z - 3*w + 2*w - 4. What is the remainder when 35 is divided by (1/z)/(11/(-264))?
11
Let c(t) = t**3 - 4*t**2 + 3*t - 1. Let v be c(3). Calculate the remainder when 104/3 - (-2)/6 is divided by -2*(-39)/6 + v.
11
Suppose w + 2 = -2*b - 2*w, 5*b - w - 12 = 0. Suppose -25 = -2*u + m, -2*u - 2*u - b*m + 46 = 0. Calculate the remainder when 57 is divided by u.
9
Let z be (-1)/(1/(-10))*4/8. Suppose 0*p - z*p - f + 141 = 0, 3*f = p - 25. Calculate the remainder when p is divided by 10.
8
Suppose -5*f = 84 - 314. Let u = -78 - -102. Calculate th