33
Let w = 50 - 37. What is the remainder when 37 is divided by w?
11
Let j = 572 - 567. Suppose -5*n = -3*d + 41, 0*d - 3*n + 57 = 3*d. Calculate the remainder when d is divided by j.
2
Suppose -3*m + 167 = 59. Suppose 2*w = m - 6. Calculate the remainder when 51 is divided by w.
6
Suppose -80 = 59*k - 79*k. Let h be (2*-1)/((-8)/24). Suppose -u - 3*z = -18, -5*u + 6*u - 3*z + h = 0. What is the remainder when u is divided by k?
2
Let n(w) = 2*w**2 - 56*w - 47. Suppose -2*c = 4*b - 58, 4*b - 121 = -7*c + 2*c. What is the remainder when c is divided by n(29)?
10
Suppose 2*n - 306 = -n + 3*w, 3*n - 278 = -4*w. Calculate the remainder when n is divided by (-10)/(-25) - 98/(-5).
18
Let q(f) = -f**2 - 7*f - 11. Let r be q(-8). Let z = -20 - r. Calculate the remainder when 13 is divided by (5 - -1) + 1 - z.
5
Suppose -6*h - 157 = -259. Let z = -80 - -128. Calculate the remainder when z is divided by h.
14
Suppose -25 = 4*x - t - 64, x = 5*t + 5. What is the remainder when 64 is divided by x?
4
Suppose -3*c = 3*i - 18, 0*c + 3*i - 28 = -5*c. Suppose c*m - 80 = 3*m. What is the remainder when m is divided by 412/20 - (-2)/5?
19
Let n(l) = -l**3 + 7*l**2 + 16*l - 12. Calculate the remainder when 102 is divided by n(8).
50
Let o(c) = -c**3 + 27*c**2 - 21*c - 40. Calculate the remainder when o(26) is divided by 68.
22
Let d(a) = 7*a**2 + 2*a - 19. Calculate the remainder when 146 is divided by d(3).
46
Let x(a) be the second derivative of a**5/10 + 5*a**4/4 - 4*a**3/3 + a**2 - 27*a. What is the remainder when 11 is divided by x(-8)?
1
Let i = 5906 - 5892. Suppose 0*x + 5*x = 275. What is the remainder when x is divided by i?
13
Let s = 571 - 565. What is the remainder when 10 is divided by s?
4
Let g(u) = 2*u**3 + 3*u**2 - 6*u + 8. Let m be g(3). Suppose 0 = 3*t - m - 52. Calculate the remainder when t is divided by 12.
5
Suppose -53 = -3*a + 217. Suppose 5*h - a = -3*z, -3*z - 1 = h - 7. Calculate the remainder when h is divided by 14 - (-1 - -2)*2.
9
Let x(z) = z**3 + 8*z**2 - 19*z + 14. Let m be x(-10). Suppose l - 3*l + 32 = -m*i, -78 = -4*l + i. What is the remainder when 56 is divided by l?
16
What is the remainder when 113 is divided by 25/15*1053/45?
35
What is the remainder when 10 is divided by 15 + -10 + -4*1 + 1?
0
Suppose 43*l - 51*l = -112. What is the remainder when 25 is divided by l?
11
Suppose 0 = -0*g + 16*g - 256. What is the remainder when 51 is divided by g?
3
Let l be (-95)/(-4) - 24/(-96). Let x = 20 - l. Calculate the remainder when ((-6)/x)/((-15)/(-110)) is divided by 4.
3
Let y(m) = -m**3 - 10*m**2 + 5. Let v be y(-10). Let t be (1 + 1)*(v + 2). Let s = t + -13. What is the remainder when 1 is divided by s?
0
Let w(x) = -3*x + 46. Calculate the remainder when 157 is divided by w(12).
7
Suppose -48 = -18*r + 10*r. Let i(t) = t + 13. Calculate the remainder when r is divided by i(-9).
2
Let f(g) = 373*g**2 - g + 2. Let r be f(1). Suppose r = b + b. Calculate the remainder when b is divided by 19.
16
Let c(i) = -5*i**2 + 5*i - 1 - 3*i + 14*i**2 - 8*i**2. Calculate the remainder when 14 is divided by c(-4).
0
Let u = 347 + -172. Suppose u = 5*b - 450. Calculate the remainder when b is divided by 14.
13
Suppose -40*t - 295 = -42*t - 5*g, 0 = 3*t + 2*g - 459. What is the remainder when 1704 is divided by t?
154
Let o(h) = h**3 - 13*h**2 - 16*h + 31. Let k be o(14). Suppose -k*a + 0*d + 248 = 4*d, -5*a + 394 = -3*d. What is the remainder when a is divided by 41?
39
Let x(h) = h**2 + 3. Let z be 9/(-12) + (-13)/4. What is the remainder when x(z) is divided by 12?
7
Let p be 1 - 1 - (1 + 51). Calculate the remainder when 95 is divided by (-2 - 1)*1 - p.
46
Let c = 2002 - 1992. Suppose 10 = -5*m - 3*s, -2*m + 4*s = 6*s. Let i = 21 + m. Calculate the remainder when i is divided by c.
6
Let n(k) = 2*k**3 - 20*k**2 + 80*k - 23. What is the remainder when n(7) is divided by 39?
9
Let x = 4964 + -3349. What is the remainder when x is divided by 21?
19
Let i(a) = -a**2 + 6*a - 3. Suppose f + 19 = 5*w - 6, -23 = -2*w + 3*f. Let h = -39 - -56. Calculate the remainder when h is divided by i(w).
2
Let b(a) = 4*a**2 - 92*a + 50. Calculate the remainder when b(25) is divided by 21.
19
Let v(y) be the second derivative of -4*y**3 - 5*y**2/2 - 21*y. What is the remainder when v(-2) is divided by 15?
13
Suppose 89 = -4*v + 417. What is the remainder when v is divided by 8?
2
Let r be (-5)/2*440/(-50). Suppose 5*l - l + 2*o + r = 0, 0 = -3*o + 9. Let t(u) = -2*u - 9. What is the remainder when 19 is divided by t(l)?
4
Let l be 49/14 - (-2)/(-4). Suppose -l = j - 5*h, 0*j - 5*j = 4*h - 14. Suppose j*z - 20 = -2*z. What is the remainder when 7 is divided by z?
2
Let q be (-54)/(-8)*(-48)/(-6). Suppose 4*g - 46 = q. Suppose -t + 3*h = -15, -g = -3*t + 3*h - 4*h. Calculate the remainder when 24 is divided by t.
6
Suppose 0 = -i - 2059 + 2149. What is the remainder when 337 is divided by i?
67
Calculate the remainder when 660/5 - (2 - (9 - 1)) is divided by 54.
30
Let r = -455 - -884. Calculate the remainder when r is divided by 16.
13
Let n(i) = 2*i**2 + 96*i - 8. What is the remainder when n(-51) is divided by 62?
50
Suppose 7*n - 76 = 449. What is the remainder when n is divided by 39?
36
Let t = 16 + -11. Let h = t - -6. Suppose -139 = -3*o + 4*r, 2*r = 4*o - 3*r - 187. Calculate the remainder when o is divided by h.
9
What is the remainder when (9 + 1)*(-4 - -29) is divided by 12?
10
Suppose 0 = -2*x - 700 + 1058. What is the remainder when x is divided by 20?
19
Let s = 15 - 11. Let a = 13 - s. What is the remainder when (434/28)/((-2)/(-4)) + 2 is divided by a?
6
Let s(w) = -w**3 - w**2 + w. Let n be s(0). Suppose 4*p - 5*p + 8 = n. Let m(u) = -u**2 + 9*u - 3. Calculate the remainder when m(p) is divided by 4.
1
Suppose 0 = -458*g + 467*g - 468. Let v(s) = -13*s + 1. Calculate the remainder when g is divided by v(-1).
10
Suppose 4*c + 0*c + 4 = 3*v, 2*v + c - 10 = 0. Suppose -5*m + 1 = -3*m - x, 4*x = -v*m + 20. What is the remainder when 6 is divided by m?
0
Let i = -32 + 48. Let d = -7 + i. Let j(f) = -9*f - 164. What is the remainder when j(-20) is divided by d?
7
Let h be ((-8)/3)/(12/(-18)). Suppose -h*k + 92 = -0*k. Suppose 0 = -l + 2*l - 68. What is the remainder when l is divided by k?
22
Let k(q) = -3*q + 4. Let d = -15 + 26. Let u be (-2)/(d/(-4) - -3). What is the remainder when 54 is divided by k(u)?
26
Suppose 0 = 4*k - 8 - 8. Suppose 44 = -k*j + 184. Suppose -y - 4*q + 2*q = -22, y + 4*q = 32. What is the remainder when j is divided by y?
11
Let c(w) = -8*w - 2. Let s = -21 - -28. Suppose -8*j - s = -103. Calculate the remainder when c(-6) is divided by j.
10
Suppose -3*a + 2*a + 4 = 0. Let f = -10 + 23. Calculate the remainder when f is divided by a.
1
Suppose -5*y = -38 + 13. Suppose u + 5*x = -10, 2*u + 4 + 2 = -3*x. Suppose 7*k - 3*k - 24 = u. What is the remainder when k is divided by y?
1
Suppose 0 = -4*g - g. Suppose 5*w + g*w + 42 = k, -5*w - 25 = 0. What is the remainder when 26 is divided by k?
9
Suppose 0*l = 3*l - 39. Suppose 8*u = 10 + 6. What is the remainder when (1 - u)*10/(-40)*148 is divided by l?
11
Calculate the remainder when 1/4 + (-2390)/(-40) is divided by 16.
12
Let d(a) = -a**3 - 1. Let n(v) = 4*v**3 + 10*v**2 - 8*v + 9. Let r(i) = 5*d(i) + n(i). Calculate the remainder when r(8) is divided by 18.
14
Let n = -24 - -21. Calculate the remainder when 44 is divided by n/(-1)*(-1 + (-32)/(-6)).
5
Suppose k - 3*c - 11 = 0, -2*c + 14 = 4*k - 4*c. Suppose -207 + 17 = -4*y - k*l, 144 = 3*y + l. What is the remainder when y is divided by 10?
9
Suppose 4*h - 4*y - 220 = 0, 0 = -7*h + 4*h - 4*y + 158. Suppose -9*j = -15*j + h. Suppose -155 = -5*u + 100. Calculate the remainder when u is divided by j.
6
Suppose -11 = -p - 5. Suppose 5*s + q = -4*q + 20, -2*s - q + p = 0. Suppose -c = -s*c + 65. Calculate the remainder when c is divided by 17.
14
Suppose -6*v - 16 = 2. Let s = -1 - v. Suppose -3*z - s*z = -280. Calculate the remainder when z is divided by 29.
27
Let u = 178 - -87. Calculate the remainder when u is divided by 30.
25
Suppose -5*o = 5*v - 75, 0*o + 4*o - 2*v - 36 = 0. What is the remainder when 29 is divided by o?
7
Suppose 5*v = 10*v - 25. Calculate the remainder when 322 is divided by v.
2
Let r = 10 + 