 m = 5*n, -n + 24 + 40 = 5*j. What is the remainder when j is divided by 4?
1
Suppose -136 = -14*j + 312. What is the remainder when 118 is divided by j?
22
Let d(s) = 10*s - 185. What is the remainder when 1222 is divided by d(22)?
32
Suppose 0 = -72*v + 68*v + 116. What is the remainder when v is divided by 18?
11
Suppose 3*z - z + 5*y = 17, -y = -3*z - 17. Calculate the remainder when 13 is divided by z - (-11 + (0 - 1)).
5
Suppose 5 = 5*m, -4*o = 3*m + 2*m - 161. Suppose -2*x - o = -233. Calculate the remainder when x is divided by 9.
7
Suppose 6*n - 14 = -n. Suppose -60 + 196 = 4*g. Suppose -n + g = 4*u. Calculate the remainder when u is divided by 3.
2
Let f(g) = g**2 + 10*g - 11. Suppose 2*m = 3*m + 5*y + 26, -5*m - 58 = y. Let j be f(m). What is the remainder when 45 is divided by 1/((-2 + j)/(-24))?
9
Suppose 24 = 3*z + g + 2*g, -5*z + 13 = -4*g. What is the remainder when 43 is divided by z?
3
Suppose h - 2 = -1. Suppose 4*f = -4*j - 4, 14*j - 5*f - 13 = 11*j. Calculate the remainder when h is divided by j.
0
Let k be (63/(-35))/((-6)/20). Suppose k*m - 15 = 3*m. Suppose 2*v - 5*z = -10*z + 76, -v + 43 = m*z. Calculate the remainder when 64 is divided by v.
31
Let k = 24 + -29. Suppose 2*y = -5*a + 77, -2*a = 5*y + a - 164. What is the remainder when (-5093)/(-55) - (-3)/k is divided by y?
30
Let t(x) = -x**3 + 27*x**2 - 68*x - 50. What is the remainder when t(21) is divided by 78?
76
Suppose 14*z - 5*z - 153 = 0. Suppose 24 + 30 = s + 3*y, 136 = 3*s - 4*y. Calculate the remainder when s is divided by z.
14
Let c = 25 - 11. What is the remainder when (-8)/28 + 536/c is divided by 10?
8
Let f be ((-18)/(-4))/(6/(-24)). Let o = 29 + f. Calculate the remainder when 21 is divided by o.
10
Let o = 66 + -42. Calculate the remainder when 187 is divided by o.
19
Suppose 2*n + h + 93 = 2*h, 2*n + 95 = 3*h. Let d = n + 117. What is the remainder when d is divided by 18?
17
Let d = -1144 - -1278. What is the remainder when d is divided by 21?
8
Let q(m) = m**2 + 2*m - 3. Let w be q(-6). Suppose -2*a + 2 = -4. Suppose 0*x = -a*x + w. Calculate the remainder when 27 is divided by x.
6
Suppose -76 = -3*o - 4*n, 5 = 2*n - 3*n. Let b = o - 7. Suppose 3*x - b - 2 = 0. What is the remainder when 34 is divided by x?
7
Suppose -177 = -5*y - 57. Calculate the remainder when 39 is divided by y.
15
Let h = -3 - -54. Let r = -189 + 391. Calculate the remainder when r is divided by h.
49
Suppose f - 4*k - 15 = 8, 2*k + 58 = 2*f. Let d(p) = -p**3 + 7*p**2 + 9. What is the remainder when f is divided by d(7)?
4
Calculate the remainder when 83 is divided by (264/(-99))/(3/(-18)).
3
Suppose -22 = -v + 3*w, 2*v - 2*w + 4*w = 12. Let x(i) = -i**2 + 8*i - 6. Let p be x(9). What is the remainder when (65/p)/(1/(-9)) is divided by v?
9
Let h(q) = -2*q + 10. Let r be h(11). Let i = r + 12. Suppose -k - 141 = -5*o, -2*o + i*o - 2*k + 66 = 0. Calculate the remainder when o is divided by 8.
5
Let d(b) = -b**3 - 7*b**2 - 6*b - 37. Let o be d(-7). Suppose 0 = 5*r + o*g - 65, r - 6 = -4*g - 2. What is the remainder when r is divided by 9?
7
Suppose -328 = -3*d - 22. Calculate the remainder when 1119 is divided by d.
99
Let p(z) = -z**2 + 2*z**2 + 12 - 6 - z. Suppose 37*d + 54 = 39*d. Calculate the remainder when p(9) is divided by d.
24
Let b = 88 + -20. What is the remainder when b is divided by 18?
14
Suppose 0 = -6*d + 3*d - 3*j + 702, 4*d - 4*j = 936. Calculate the remainder when d is divided by 80.
74
Suppose 0 = 2*u - 8 - 2. Let r(i) = -i**3 + 8*i**2 - i + 26. Suppose 17*k + j = 13*k + 36, -5*j + 28 = k. What is the remainder when r(k) is divided by u?
3
Suppose t + 3*l + 1 - 4 = 0, -2*t + 15 = -3*l. What is the remainder when (t/(-5))/(-4 + (-917)/(-230)) is divided by 24?
20
Suppose -5*d = 3*r - 130, 2*r - d = 7*r - 246. Suppose 9*s = 10*s + 117. Calculate the remainder when r is divided by (s/18)/((-1)/2).
11
Suppose -q - 3*k + 154 = 0, 5*k = 9*q - 4*q - 770. Suppose -4*m = 46 - q. What is the remainder when 52 is divided by m?
25
Let x(u) = -u**3 + 7*u**2 - u - 15. Let r be x(6). Let o(j) = j + 3. Calculate the remainder when (17 - 0)*2/1 is divided by o(r).
16
Let l = -61 + 110. Let j = 65 - l. What is the remainder when 30 is divided by j?
14
Let c be 4/14 + (-54)/42. Let d be 2/(c + 25/27). Let y = -21 - d. Calculate the remainder when 17 is divided by y.
5
Let s(h) = -14*h + 3. Let j be 2/((-2)/3) - -3. Let k be 3 - 8 - j - -1. What is the remainder when s(k) is divided by 15?
14
Let a(u) = u**3 - 6*u**2 + 7*u + 5. Let d(b) = -b**3. Let h(s) = -a(s) - 2*d(s). What is the remainder when h(-6) is divided by 11?
4
Let t = 1852 - 1309. Calculate the remainder when t is divided by 32.
31
Suppose -2*o = 13 - 305. Calculate the remainder when 61 - (4/(-1) + (-22 - -28)) is divided by o/10 + (-6)/(-15).
14
Let a(q) = 4*q**2 - 8*q - 1. Suppose 7*l = 7 + 28. Calculate the remainder when a(l) is divided by 16.
11
Suppose -4*x + p + 149 = 0, -x - 3 = -2*p - 35. Let f(b) = -5*b + 30. Let m be f(11). Let a = m - -39. What is the remainder when x is divided by a?
10
Let w be 7 - (1 + 1 - 2). Suppose -w*y + 18 = -4*y. Suppose -53*x = -2*f - 54*x + 13, -4*f + 4*x - 4 = 0. What is the remainder when y is divided by f?
2
Let y(j) = j**3 - j**2 - 4*j + 5. Let p be y(2). Let u(t) = 26*t**2 - 1. What is the remainder when 97 is divided by u(p)?
22
Suppose -2*x = -b, -2*b + 10 = -7*b + 5*x. What is the remainder when 77 is divided by (-1)/b - (-103)/4?
25
Calculate the remainder when (-8)/(-92) + (-17125)/(-115) is divided by 40.
29
Suppose 76*v + 3*y + 60 = 77*v, 5*v + 4*y - 224 = 0. What is the remainder when 236 is divided by v?
44
Let i = 686 + -650. Calculate the remainder when 90 is divided by i.
18
Let z(c) = 48*c**2 - c - 1. What is the remainder when z(2) is divided by 32?
29
Let y(k) = -32*k - 207. Calculate the remainder when y(-12) is divided by 12.
9
Let t = -475 - -628. Calculate the remainder when t is divided by 7.
6
Let f(j) = 46*j**2 + 6*j + 3. Let d be f(-2). Suppose -2*v = 5*v - d. What is the remainder when 98 is divided by v?
23
Suppose 175 = 4*u + 5*d, 11*u + 2*d + 110 = 13*u. Calculate the remainder when 58 is divided by u.
8
What is the remainder when 195 is divided by 92/(-230) - (-47)/10*2?
6
Let c = -397 - -666. Calculate the remainder when c is divided by 15.
14
Let s = -1269 + 1294. What is the remainder when (9/(-2))/(1/(-22)) is divided by s?
24
Suppose 61 + 9 = 5*i. Let f(v) = 3*v**2 + 14*v - 1. What is the remainder when i is divided by f(-5)?
2
Let r(u) = -u + 7. Let i be r(5). Suppose 45 = f + i*f. What is the remainder when 148 is divided by f?
13
Let v = -23 - -9. Let m = v - -24. Suppose -m*i + 6*i = -196. Calculate the remainder when i is divided by 26.
23
Suppose 3 + 18 = 3*y. Suppose -4*i = 3*f - 47, -y*f + 3*f + 4*i = -44. What is the remainder when ((-351)/(-45) - -6)/((-12)/(-20)) is divided by f?
10
Let w(h) = -h**3 + 18*h**2 - 14*h + 12. What is the remainder when w(17) is divided by 17?
12
Let i = -83 - -103. Suppose 3*a - p = 100, -3*a + 80 = p - 6*p. Suppose b - 1 = a. Calculate the remainder when b is divided by i.
16
Calculate the remainder when -13*((-20)/4 - -4) is divided by 3.
1
Let s = 435 - 394. Calculate the remainder when 486/4 + (-3)/(-6) is divided by s.
40
Suppose 25*v = 5*g + 24*v - 176, -5*v - 52 = -2*g. What is the remainder when 119 is divided by g?
11
Let h(d) = 29*d + 236. Let i(v) = 2*v - 5. Let p be i(4). Let l(w) = 2*w**3 - 5*w**2 + w + 2. Calculate the remainder when l(p) is divided by h(-8).
2
Suppose 2*s = 3*k + 3*s - 416, -552 = -4*k - 2*s. Let l = k + -117. What is the remainder when 60 is divided by l?
14
Let n(p) = -6*p**2 + 76*p - 37. What is the remainder when n(12) is divided by 8?
3
Suppose 340 + 52 = 5*q + p, 5*q - 5*p = 380. Let c = 25 - 21. Suppose -c*m - q = -10*m. Calculate the remainder when m is divided by 8.
5
Suppose -6423 = -37*v - 2279. What is the remainder when v is divided by 9?
4
Let t = -10 + 45. What is the remainder when 64 is divided by t?
29
Let y be 114 + 1*(-1 - -1). Let n be (8/(-6))/((-6)/9). Suppose n*r + y = 5*r. Calculate the remainder when r is divided by 10.
8
Let f = 30 - 30. Suppose f = -5*n + 55 + 145. What is the remainder when n is divided by 15?
10
Let u(h) = -h