-22*k + 23*k - 4. Calculate the remainder when (-98)/(-4) - (-1)/2 is divided by k.
1
Suppose -3*c = 4*a - 3 - 10, 3*a + 26 = c. Suppose -d - t + 20 = 0, -4*d + 80 = 3*t + 2*t. What is the remainder when d is divided by c?
9
Suppose 8*v - 145 = 47. Calculate the remainder when 191 is divided by v.
23
Let x(b) = 2*b - 3. Suppose 5*o = 4*o - l + 1, 5*l = -3*o - 7. What is the remainder when x(o) is divided by (-1 + 3)/(2/5)?
4
Let n be ((-20)/(-25))/((-2)/35). Let u(g) = 2*g + 30. Let t be u(n). Let d = t + 15. What is the remainder when d is divided by 9?
8
Let u(v) be the third derivative of -v**6/120 + 2*v**5/15 + v**4/2 - 17*v**3/6 - 23*v**2. Let x = 14 - 5. Calculate the remainder when 47 is divided by u(x).
7
Let u(s) = s**2 + 9*s + 10. Let z be u(-11). Suppose 5*w + 7 = -5*p + z, 4*p + 7 = 5*w. Suppose -h - p*h = -132. What is the remainder when h is divided by 12?
8
Let m(h) = -h**3 - h**2 + 3*h - 1. Let y be m(1). Suppose 85 = -y*r + r. Calculate the remainder when r is divided by 22.
19
Let a(s) = s**2 - 3*s - 85. Calculate the remainder when a(-10) is divided by 24.
21
Let j be -2 + 7/((-7)/(-10)). Let v = j - 9. Calculate the remainder when 61 is divided by v/(-1) - (-1 - 19).
19
Let j = 26 - 34. What is the remainder when j*((-1)/2)/1 is divided by 3?
1
Suppose -3*z = 5*j - 192, -j + 64 = -3*z + 4*z. What is the remainder when z is divided by 17?
13
Let a = 102 + 100. What is the remainder when a is divided by 54?
40
Suppose 0 = 2*u - 4*u. Suppose -3*r + 2*r + 26 = u. What is the remainder when r is divided by 7?
5
Let t = 175 + -90. Suppose 3*m = -6, -t = -3*x - m - 15. Calculate the remainder when 61 is divided by x.
13
Suppose 47*m - 45*m = -5*p + 187, -2*p = -4*m + 434. Calculate the remainder when m is divided by 41.
24
Let z be 9/((-1)/2 + 99/162). Suppose -x - 28 = -z. What is the remainder when x is divided by 5?
3
Suppose -4566 = 21*h - 15423. Calculate the remainder when h is divided by 65.
62
Let d = -11 - -5. Let w = d + 3. What is the remainder when 21 is divided by w/((-3)/2) - -6?
5
Let j = 3 - -21. Suppose 4*s - 12 = -n, 0*s - 2*s = -n + j. Calculate the remainder when 59 is divided by n.
19
What is the remainder when 280/4 + -5 + 10 + -2 is divided by 14?
3
Let p(f) = 10*f + 353. What is the remainder when 50 is divided by p(-34)?
11
Let p = 67 - -107. What is the remainder when p is divided by 35?
34
Suppose 155 = 4*n + n + 2*i, -2*n = -5*i - 62. Calculate the remainder when 309 is divided by n.
30
Let d = 111 + -67. Let k be ((-16)/(-12))/(1/3)*1. Suppose -5*o + 75 = 6*m - m, k*m = o + 65. What is the remainder when d is divided by m?
12
Let h(q) = -3*q**3 - 2*q**2 + 2*q + 3. Let n be h(-2). Let a be 20/n*9/(-3). What is the remainder when 28 is divided by ((-10)/a)/(13/78)?
13
Let g = -1231 + 1249. Calculate the remainder when 160 is divided by g.
16
Suppose -3*r + 111 - 33 = 0. Suppose 0 = 2*w - 3*j - 149, 3*w - 4*j - 148 = w. What is the remainder when w is divided by r?
24
Let a = 16 - 11. Suppose -a*q = -2*i - 72, -4*q = -3*q - 2*i - 16. What is the remainder when 8/(-40) + 542/10 is divided by q?
12
Let w = -96 - -140. Let p(o) = 11*o - 2. Let x(l) = -10*l + 1. Let g(h) = -3*p(h) - 4*x(h). What is the remainder when w is divided by g(1)?
8
Let g = -2925 + 2962. Let b be ((-69)/(-2))/((-6)/8). Let j = -27 - b. Calculate the remainder when g is divided by j.
18
Let s(x) = -x**2 - 32*x - 34. Suppose 78 = 3*a - 5*y, 3*a - 33 = 2*y + 36. What is the remainder when (22/(-3))/((-2)/a) is divided by s(-30)?
25
Let t = -410 + 755. Suppose 0 = -115*k - 380 + 2105. Calculate the remainder when t/6 - 2/(-4) is divided by k.
13
Let m(r) = 36*r - 828. What is the remainder when m(27) is divided by 15?
9
Let i = 79 - 49. Calculate the remainder when 70 is divided by i.
10
Let f = 2261 + -1978. Calculate the remainder when f is divided by 17.
11
Let j(c) = -c**3 + 4*c**2 + 5*c + 2. Suppose 7 + 8 = 3*x. What is the remainder when j(x) is divided by 2?
0
Let v(s) = 6*s + 9*s - 2 - 9*s + 18*s. Let o be v(1). Suppose 4*i - 66 - o = 0. What is the remainder when 87 is divided by i?
21
Suppose 5*f - 109 = 291. Suppose 2*j = q - 90, 3*j + 5*q = j - 114. Let c = j + f. What is the remainder when c is divided by 12?
9
Let h be (-9)/(-7) - 2/7. Calculate the remainder when 9810/390 - h/(-13)*-2 is divided by (1 - 6)/(2/(-6)).
10
Calculate the remainder when (-19 - -306) + (-6)/1 is divided by 47.
46
Suppose -5*q = -23 - 2. Suppose -2*c - 4*h - 18 = -4*c, 3*h - 84 = -q*c. Let b = 21 - c. Calculate the remainder when b is divided by 3.
0
Let f(y) = y**2 + 14*y + 31. Let u be f(-14). Suppose -140 = -4*d - 2*c, 0 = -2*d - 5*c + u + 55. Calculate the remainder when 130 is divided by d.
31
Let f(k) = 5*k**2 + 8*k + 1 - 4*k**2 - 2*k**2 + 17*k. What is the remainder when 99 is divided by f(24)?
24
Let t = -3667 + 8150. Calculate the remainder when t is divided by 59.
58
Let s(y) = -2*y + 18. Let u be s(8). What is the remainder when 4 is divided by (1 - (-4 + u))*1?
1
Calculate the remainder when 7*(24 - (3 - 2)) is divided by 52.
5
Suppose -3*m = 3 - 60. Suppose -276 = -4*y - 4*j, 5*y - 84 = 3*j + 293. What is the remainder when y is divided by m?
16
Suppose 9*x = -95*x + 8736. Calculate the remainder when 839 is divided by x.
83
Suppose -k - 5 = -9. Suppose 1 + 3 = -4*o, -3*o = k*t + 3. Calculate the remainder when 69 is divided by 12/(t - (-8)/12).
15
Suppose -4*w + 0 = -3*y - 11, -4*w - 2*y - 14 = 0. Let h(c) = 1 + 4*c - 5*c - 6*c. Calculate the remainder when 31 is divided by h(w).
7
Suppose -4*c = -4*o - 104, -4*o - o = -15. Let d = -535 + 545. What is the remainder when c is divided by d?
9
Let o(c) = -c**2 - 3*c - 1. Let u(r) = -r - 10. Let g be u(-18). Let p(t) = t**3 - 9*t**2 + 7*t + 11. What is the remainder when p(g) is divided by o(-2)?
0
Let h be (-14)/(-4) + 8/(-16). Suppose 5*a + h*y + 2 = 57, -5*y - 11 = -a. Calculate the remainder when 31 is divided by a.
9
Let p be ((-1)/2)/((-5)/50). Suppose 5*g + p*v - 3*v - 46 = 0, 0 = 5*g - 5*v - 60. Calculate the remainder when 27 is divided by g.
7
Let g = 44 + -40. Let s(l) = 6*l - 12. Let d be s(7). Suppose -4*f = 2*t - d, -t = 5*f - 3*t - 15. What is the remainder when f is divided by g?
1
Let a = -18 - -32. Let v be ((-2)/6)/(6/(-54)). Suppose -17 = -4*y - g, -2*y = 4*g - 9 - v. Calculate the remainder when a is divided by y.
2
Let s(j) = -4*j - 2. Suppose 0 = -3*z - 22 + 13. Calculate the remainder when 38 is divided by s(z).
8
Suppose 202 = 8*s - 6*s. Suppose 246 = 4*c - c + 4*h, 5*h + s = c. Calculate the remainder when c is divided by 22.
20
Let v(t) = t**2 - 12*t - 14. Calculate the remainder when 215 is divided by v(15).
29
Suppose -392 = -144*q + 136*q. What is the remainder when q is divided by 26?
23
Suppose 2*o + 12 = -4*w, -5*o = 4*w + 2 + 10. Let t(k) = -8*k + 10. Calculate the remainder when 67 is divided by t(w).
33
Suppose -2*m - 4 = -4*j, m = 2*j + 5*m - 12. Suppose -f + 5*h - 16 = h, 5*f - h + 23 = 0. Calculate the remainder when -37*2/f*j is divided by 20.
17
Let o(w) be the second derivative of w**5/20 + 3*w**4/4 - 25*w**3/6 - 3*w**2 + w + 20. Calculate the remainder when o(-11) is divided by 7.
6
Suppose -2*c + 94 = g, g - 5*g = -8. Let q = c + -37. Calculate the remainder when 51 is divided by q.
6
Let u = 607 + -238. Calculate the remainder when u is divided by 10.
9
Suppose -5*u + 1364 + 871 = 0. What is the remainder when u is divided by 16?
15
Suppose -199 = -3*y + 125. Let a = 1 + 2. Suppose a*l = -l + y. Calculate the remainder when l is divided by 14.
13
Let j(c) = -2*c + 8. Let o be j(-7). Let w(z) = 5*z - 2. Let n be w(-2). Let g = o + n. What is the remainder when 18 is divided by g?
8
Let t(l) = 3*l - 2*l - 2*l - 1. Let d(y) = -6*y**2 + 15*y + 12. Let c(u) = -d(u) - 15*t(u). Calculate the remainder when c(-2) is divided by 8.
3
Let v be 94/(-8) + (-1)/4. Let s be 1/((-15)/v + -1). Suppose -169 = -5*g - s. What is the remainder when g is divided by 7?
5
Suppose -h + 2*r + 57 = 0, 2*h + 3*r + 10 - 117 = 0. Let p = 6 + h. Suppose -2*b + 12 + 30 = 0. What is the remainder when p is divided by b?
19
Let o(r) = -r**3 + 4*r**2 + 12*r + 2. Let a be o(6). Suppose -a*c = 2*c - 100. Let q = c - 13. Calculate the remainder when 44 is divided by q.
8
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