0 = 5*b + 15, -k + 65 = 4*k - 5*b. What is the remainder when 102 is divided by k?
2
Suppose 0 = 21*r - 70*r - 2744. Calculate the remainder when 113 is divided by (-1)/(10 - 7)*(r + -1).
18
Let r be (-5 - (-27)/6)*264/4. Let f = r + 37. Let d = 3 + 1. Calculate the remainder when d is divided by f.
0
Let s be (0 - 16/6)/(4/6). Let t be (-1)/s + 2380/80. Suppose 4*j - 164 = w, 3*w + 93 + t = 3*j. Calculate the remainder when j is divided by 9.
5
Suppose 0 = -2*v - 4*r + 336, -r - 852 = -5*v + r. Calculate the remainder when v is divided by 9.
8
Let q(k) = 22*k - 213. Calculate the remainder when 298 is divided by q(12).
43
Let r be 17/5 - 6/15. Suppose 0 = -r*q + 3*v + 30, -2*q - 4*v = 2*q - 64. Calculate the remainder when 1*(2 + 4*5) is divided by q.
9
Suppose -6*n + 35 + 97 = 0. Suppose 0 = 23*c - n*c - 49. What is the remainder when c is divided by 2/6 - 477/(-27)?
13
Suppose 2*m = 5 + 5. Suppose 4*n - 2 = m*n, -2*o + 22 = 5*n. Suppose 9*t - 13*t + o = 0. Calculate the remainder when 10 is divided by t.
2
Suppose 0 = -0*j + 2*j - 40. What is the remainder when ((-3)/9 - (-36)/(-27))*513/(-15) is divided by j?
17
Let w(v) = v**2 - 8*v + 10. Let s be w(5). Let n(j) = -9*j + 3. Let h be n(s). Suppose -17*p = -11*p - h. What is the remainder when p is divided by 6?
2
Let t(c) = -c**2 + 19*c + 14. Let q = 51 + -37. Let o be t(q). Suppose -6*j = -13*j + o. What is the remainder when 34 is divided by j?
10
Let i(f) = -2*f + 20. Let c = 0 - 7. Let q be i(c). Suppose 0 = 9*z - 7*z - q. What is the remainder when 31 is divided by z?
14
Suppose -15*z + 34*z = 2451. Suppose -381 = -6*s + z. Suppose -4*k + 44 = -3*k. What is the remainder when s is divided by k?
41
Suppose 4*t + 3*r = 5*t + 130, -t + 2*r = 125. Suppose 3*z = m - 224, 5*z + 13 + 12 = 0. Let o = t + m. Calculate the remainder when o is divided by 12.
10
Suppose 4*z + 112 = 3*n, -n = -2*z + 3*n - 66. Let g = 30 + z. Suppose 2*x = g*k - 181, -2*k + x + 51 = -21. Calculate the remainder when k is divided by 8.
5
Suppose 3*h - 6*h = 2*d - 88, h = 2*d - 72. Let k = 15 - 4. Suppose 2*v - k - 5 = 0. What is the remainder when d is divided by v?
6
Let u be (-8 + (-40)/(-5))/1. Suppose 6*x - 542 + 380 = u. Calculate the remainder when 52 is divided by x.
25
Let f be 3/(-6) + 25/(-2). Let w(n) = n - 1. Let h(i) = -i - 37. Let q(u) = h(u) - 4*w(u). Calculate the remainder when q(f) is divided by 17.
15
Suppose 78*a - 79*a - 11125 = -4*t, t - 2783 = 2*a. Calculate the remainder when t is divided by 121.
119
Suppose -14*n - 94 = -42*n + 886. Calculate the remainder when n is divided by 8.
3
Let y(n) = 198*n + 6938. Suppose 2*w = 46 - 18. Calculate the remainder when w is divided by y(-35).
6
Let q(b) = -7*b - 19. Let o(v) = v**3 - 8*v**2 - v + 2. Let t be 0/(-1) + (7 - -1). Let k be o(t). Calculate the remainder when q(k) is divided by 5.
3
Let t be -28 - -23 - 4/(-2). Calculate the remainder when (-2)/t - 846/(-27) is divided by 17.
15
Let j = 5857 - -369. Calculate the remainder when j is divided by 23.
16
Let n = 401 - 399. Calculate the remainder when 222 is divided by 51/24 - n - 5533/(-88).
33
Suppose -8 = 2*g, -2*f = -45*g + 44*g - 10. Suppose 1086 = f*m + 192. Calculate the remainder when m is divided by 13.
12
Let l(m) = m**2 + 33*m + 230. Let u be l(-8). Suppose 24*r - u*r = -414. Calculate the remainder when r is divided by 7.
6
Suppose 25*r + 68*r - 1581 = 0. Suppose q = -4*v + 113, -3*v - 2*v = -q - 148. What is the remainder when v is divided by r?
12
Let q(i) be the second derivative of -i**4/12 + 10*i**3/3 + 19*i**2 - 5*i - 2. What is the remainder when 108 is divided by q(20)?
32
Let r = -1128 + 755. Let d = 567 + r. Calculate the remainder when d is divided by 49.
47
Let c = 5410 - 5404. Suppose -4*a = f - 149, 4*a + 5*f - 143 = 2*f. Calculate the remainder when a is divided by c.
2
Let r = -1421 - -1449. Let h = -27 - -135. Calculate the remainder when h is divided by r.
24
Suppose -22*l = -8*l - 336. Let q = 405 + -47. Calculate the remainder when ((-2)/2)/(2 - q/178) is divided by l.
17
Let o(i) = -33*i + 220. Calculate the remainder when o(-36) is divided by 110.
88
Let k(x) = x + 5. Let c be k(0). Let g = -2549 - -2940. Suppose -2*j + g = 3*z, -c*j + 5*z + 771 = -219. Calculate the remainder when j is divided by 40.
37
Let l be 2020/100 + (-2)/10. What is the remainder when l/(-6) + 4 - (-1265)/15 is divided by 43?
42
Let f(j) = j**2 - 3. Suppose 516*g - 13734 = 189*g. What is the remainder when g is divided by f(-5)?
20
Let r(k) = k**2 + 17*k + 524. Calculate the remainder when r(0) is divided by 86.
8
Suppose -24*j + 824 + 3635 = -1397. What is the remainder when j is divided by 60?
4
Let t = 276 + -196. Let k = t + 543. Calculate the remainder when k is divided by 48.
47
Let b(w) = w**3 + 15*w**2 - 34*w - 100. What is the remainder when b(-14) is divided by 35?
12
Suppose 12*b - 3*a - 510 = 0, b + 24 - 70 = 2*a. Calculate the remainder when 5919 is divided by b.
39
Let o be ((-1605)/(-3))/(-3 - 16/(-4)). Let f = -528 + o. Suppose 2*r - 13 = -5*l + 2*l, 18 = 3*l - 3*r. Calculate the remainder when f is divided by l.
2
Suppose 5*b + 0*b = 200. Suppose -b = -5*l + 4*w, 2*l = 3*w - 0*w + 9. Suppose -473*p + 14264 = -1560 - 6407. What is the remainder when p is divided by l?
11
Calculate the remainder when (-31 + 25)/(18/(-1113)) is divided by 130.
111
Let l(w) = -w**3 + 4*w**2 + 26*w + 9. Calculate the remainder when l(-11) is divided by 44.
42
Calculate the remainder when (128/(-20))/((-45)/3150) is divided by 86.
18
Let r(g) = 9*g**3 - g**2 + 9*g - 17. Let a = -262 + 264. Calculate the remainder when r(a) is divided by 13.
4
Suppose 9*h = 10 + 44. Suppose h + 201 = s. What is the remainder when s is divided by 52?
51
Let a(v) = 7*v**2 - 4. Let n = 382 + -373. What is the remainder when a(4) is divided by 3/9 + 249/n?
24
Suppose 0 = -3*v + 179 + 70. Let g = -121 + 135. Calculate the remainder when v is divided by g.
13
Suppose 76 + 452 = -8*v. What is the remainder when 262 is divided by (-3)/(3*1/v)?
64
Suppose 10*v - 12*v + 66 = 0. Suppose v*l = 34*l - 6. What is the remainder when 70 is divided by 2*71/l - 4/(-12)?
22
Let k = -262 + 117. What is the remainder when (-21)/15 - 22533/k is divided by 50?
4
Let g(k) = -k**2 + 32*k - 32. Let a be g(31). Calculate the remainder when 80 is divided by (589/(-38))/(a/2).
18
Suppose -4*r - 2*s = -60, -3*r - 387 = -2*s - 453. Calculate the remainder when 1896 is divided by r.
6
What is the remainder when 290 is divided by (13 - (-212)/(-16))/(1691/564 - 3)?
8
Let j be 10/(-15)*6 - -36. Let p = 18 - j. Let i(g) = g**2 + 13*g + 9. Calculate the remainder when 66 is divided by i(p).
20
Let v(c) = -c + 32. Let j be v(37). Let o be ((-4)/6)/((-4)/(-6)). What is the remainder when 87 is divided by (o + 78/(-10))*j?
43
Let p be (2 - 3)*(-4 - 0). Let a be (1 - (-8)/(-12))*(15 - -15). Suppose 5*i + u = a, -5*i - p*u - 5 = -0*i. Calculate the remainder when i is divided by 2.
1
Suppose 243 = 2*h + h. Let f(k) be the first derivative of 4*k**2 + 4*k - 5. Calculate the remainder when h is divided by f(3).
25
Suppose -5*q + 2*k = -1067, 4*q + 3*k = 507 + 319. Calculate the remainder when 662 is divided by q.
29
Let c = 403 - 391. Calculate the remainder when 1010/c + 2 - 8/48 is divided by 2*((-58)/(-4))/1.
28
Suppose -3968 = -4*z + 18*n - 22*n, -3*n = -4*z + 3982. Suppose 5*p + 9*p = z. Calculate the remainder when p is divided by 26.
19
Let i = -3 + 8. Suppose 0 = 4*u - 20, i*n - 11 = u - 1. Suppose -n*r + 5*b + 13 = -2*r, -112 = -4*r + 5*b. What is the remainder when 96 is divided by r?
30
Suppose 0 = -8358*j + 8484*j - 8190. Calculate the remainder when 462 is divided by j.
7
Suppose 4*w - c = 75, -2*c = 2*w + 6 - 46. Suppose 5*a + w = 3*m, -4*m + a = -7*m + 43. What is the remainder when 166 is divided by m?
10
Let x = 1 - -6. Let i be (-2)/(-4)*x/(-42)*0. Suppose -20*q + 15*q + 30 = i. What is the remainder when 17 is divided by q?
5
Let y(a) = a**3 - 6*a**2 - 12*a + 3. Let z be (-130)/(-35) - 4*(-3)/42. Suppose z = -3*q + 28. What is the remainder when y(q) is divided by 13?
9
Let g(s) = 2*s**2 - 58*s + 893. What is the remainder when 482 is divided by g(14)?
9
Let x = -2259 - -2338. Let k(y) = 8*y - 2. What is the remainder when x is di