 -2*z. Calculate the remainder when d is divided by 18.
16
Let l(d) = d**3 - 11*d**2 - 70. Calculate the remainder when 204 is divided by l(12).
56
Suppose -4*c = -3*g + 7466, -11*c = -4*g - 9*c + 9928. Calculate the remainder when g is divided by 30.
18
Suppose 0 = -2*m - r + 18 - 23, -4*r - 20 = 4*m. Suppose m = 5*o + 14*o - 2603. What is the remainder when o is divided by (2/6)/((-1)/(-141))?
43
Suppose -159*g + 8248 = -4313. Calculate the remainder when 1219 is divided by g.
34
Suppose 0 = -4*o - 9 + 45. Let n(t) = 20*t - 2. Let h be n(0). Calculate the remainder when ((-10)/6*h)/((-1)/(-12)) is divided by o.
4
Let x = 411 + -482. Let q = x + 129. Calculate the remainder when 170 is divided by q.
54
Let w(h) = -h**2 + 8*h + 28. Let t be w(0). Suppose 5*p - 3*r = 72, -p + 4*r = -0*r - t. Calculate the remainder when 47 is divided by p.
11
Let s(v) = v**2 + 135*v + 1518. Calculate the remainder when 487 is divided by s(-124).
25
Let q = 34645 - 34074. What is the remainder when q is divided by 111?
16
Suppose 168*f = 163*f - 10, 2*f = -l + 609. Calculate the remainder when l is divided by 39.
28
Suppose -3*s = -2*n, 8*n + 18 = 3*s + 12*n. Suppose t + 6*x - 3*x = 30, 0 = 2*x + 2. Calculate the remainder when t is divided by 2/s*119/7.
16
Suppose 51*h - 29803 = -5425. What is the remainder when h is divided by 60?
58
Let g be (73 - 18/3)*-1. Let b = 103 + g. Calculate the remainder when 179 is divided by b.
35
Let y(q) = -3*q - 5. Let p(k) = 10*k + 15. Let w(g) = 2*p(g) + 7*y(g). Let c be w(-9). Suppose 60 + 92 = c*n. Calculate the remainder when n is divided by 20.
18
Let o be (-2)/14 - 198/(-63). Suppose -172 = -2*u - w, o*u - 7*w + 2*w = 271. What is the remainder when u is divided by 15?
12
Let m(q) = -q + 26. Suppose 7*p - 343 = -294. Calculate the remainder when 52 is divided by m(p).
14
Let l = 34 - -50. Suppose t + 3*t = 2*k - 238, 3*t + 173 = -4*k. Let r = l + t. What is the remainder when r is divided by 14?
11
Let p(d) = 3*d**2 - 3*d - 3. Let w(v) = v**3 - 22*v**2 - 158*v - 194. Calculate the remainder when w(28) is divided by p(3).
11
Suppose -53*n + 3153 = -875. What is the remainder when 80 is divided by n?
4
Suppose 3*f + 12 = y, 5*y - 57 = f + 45. What is the remainder when 313 is divided by y?
19
Suppose 169 = -3*u - 98. Let z = 173 + u. Let h = 89 - z. What is the remainder when h is divided by 5?
0
Let o be 1/4*(-7 - (-6 + -1)). Suppose o = 2*l - 113 + 103. What is the remainder when 15 is divided by l?
0
Let d(r) = -4*r - 47. Suppose -13*l = 3*l + 576. What is the remainder when d(l) is divided by 18?
7
Suppose -125*v + 294111 = -186764. What is the remainder when v is divided by 107?
102
Suppose 48*m + 2320 = 53*m. Let v be (-3)/(-5) - m/40. Let a(b) = 2*b**2 + 21*b - 8. Calculate the remainder when 10 is divided by a(v).
1
Suppose 3*g + 41 = 5*x - 205, -5*g = 5*x - 270. Calculate the remainder when 516 is divided by x.
6
Let o(c) = -1432 + 4*c**2 - 30*c + 1469 - 3*c**2. What is the remainder when 44 is divided by o(29)?
4
Let k = 2429 - 2195. Calculate the remainder when k is divided by 20.
14
Suppose 0 = 4*k + f - 16, f - 6 = -2*k - 0*k. Let h = 44 + -58. What is the remainder when k is divided by 2/(-10)*h - 1/(-5)?
2
Let w = -24 - -33. Suppose 4*c - 53 = 4*n - w, -4*n = c + 9. Calculate the remainder when 110 is divided by c.
5
Let q(y) = 2*y**2 - 12*y - 71. Let w be q(16). Let j = -122 + w. Suppose -2*d - r = -j, 0 = -2*r + 3*r + 5. What is the remainder when d is divided by 19?
9
Let m(a) = 346*a**2 - 42*a + 17. Calculate the remainder when m(-5) is divided by 74.
71
Let x(l) be the first derivative of l**4/4 - 9*l**2 + 60*l + 108. What is the remainder when x(8) is divided by 141?
5
Let p(d) = d**3 - 7*d**2 + 147*d - 1206. What is the remainder when -28*(1 + -8 + 1) is divided by p(8)?
32
Suppose 2*k = 8 + 36. Suppose -8 = 26*h - k*h. Calculate the remainder when 93 is divided by h/((12/18)/((-38)/6)).
17
Suppose 0 = -2*k + 6 + 86. Suppose -103 = 15*g - 10*g + 2*o, 4*g + 4*o = -92. Let t(j) = j**2 + 9*j - 7. Calculate the remainder when t(g) is divided by k.
45
Let h(f) = -41*f**2 - 2773*f + f**3 - 34 + 4*f**2 + 2774*f. What is the remainder when 18/4*(-12)/(-9) is divided by h(37)?
0
Let f(q) = q**3 + 15*q**2 - 59*q - 24. Calculate the remainder when f(-15) is divided by 59.
35
Suppose 255 = 3*b - 2*k, 45 = 150*b - 149*b + 6*k. What is the remainder when 204 is divided by b?
42
Suppose c - 10 = -30. Let w be (2 - (-32)/c)/(4/640). Suppose -11*y + 218 = w. Calculate the remainder when 46 is divided by y.
4
Let v = 77 - 62. Suppose 1284 = -v*b + 27*b. What is the remainder when b is divided by 12?
11
Let d = 1070 - 664. Let c = 144 + -93. What is the remainder when d is divided by c?
49
Suppose 204 = 6*k - 3*k. Suppose 12*r + 34 = -182. Calculate the remainder when k is divided by 10/(10/5) - r.
22
Let p(q) = -q**2 - 25*q + 5. What is the remainder when 456 is divided by p(0)?
1
Suppose -127*n + 1590 = -1712. Let f(r) = -r**3 + 4*r + 3. Let l be f(-2). Calculate the remainder when l/(-12) + 201/4 is divided by n.
24
Let v = 10314 + -9526. Calculate the remainder when v is divided by 13.
8
Let h = 152 + 431. Suppose -3*a + 3862 - h = 3*i, -4*i + 4366 = a. What is the remainder when i is divided by 12?
11
Suppose -30 = 2*g - 7*g - 2*v, -4*g + 5*v = 9. Calculate the remainder when ((-1)/(-7))/(517/61523) is divided by g.
1
Let p = -290 + 521. Suppose -p = 5*u - 6*u + 4*c, c = -3*u + 719. Calculate the remainder when u is divided by 10.
9
Suppose 3*t = 5*f + 19, -3*t + 6 = -4*f - 11. Let j(o) = 3*o**2 + 8*o + 9. What is the remainder when 102 is divided by j(f)?
2
Let t(o) = -3931*o**3 - 23*o**2 - 22*o + 1. Calculate the remainder when t(-1) is divided by 82.
77
Suppose -2*m - 107 = -r, 8*m + 535 = 5*r + 11*m. Suppose s + 155 = 6*s. What is the remainder when r is divided by s?
14
Let d(n) = -1202*n - 218. What is the remainder when d(-2) is divided by 29?
11
Let y(u) = 24*u**3 + 2*u**2 - 2*u - 4. Let j be y(-2). Let a = -138 - j. Calculate the remainder when 137 is divided by a.
45
What is the remainder when 44664/102 - (1 + -4 - 147/(-51)) is divided by 219?
0
Suppose -n = 5*j - 61, 4*j - 51 = -n - 2*n. What is the remainder when 1126 is divided by j?
10
Suppose -6*b + 262 = -2*y, 115*y + 78 = 2*b + 113*y. Let i(c) = c. What is the remainder when b is divided by i(8)?
6
Let i(c) = c**3 - 13*c**2 - 6. Let z be i(13). Calculate the remainder when 97 - z*4/(-24) is divided by 37.
22
Suppose -3*m = 2*m - 2*i - 208, -3*i = 2*m - 68. Let k = m - -197. What is the remainder when k is divided by 23?
7
Let d(j) = 4*j**2 + 41*j - 18. Let u(r) = -5*r**2 - 42*r + 16. Let y(h) = 6*d(h) + 5*u(h). Calculate the remainder when y(10) is divided by 13.
11
Suppose -y - 4 = 0, 3*f + 2*y = 2*f + 200. What is the remainder when f is divided by 490/26 + (-40)/(-260)?
18
Suppose 7 - 31 = 4*k. Let y(v) be the second derivative of -v**5/20 - v**4/4 + v**3/2 - 19*v**2/2 - 39*v. Calculate the remainder when y(k) is divided by 18.
17
Let f(q) = 103*q**2 + 206*q - 1469. What is the remainder when f(7) is divided by 31?
29
Let d(s) = -699*s - 268. What is the remainder when d(-1) is divided by 90?
71
Suppose 2*q + 28 = -c, -2*q - 44 = 2*c + 16. Let u be -4 + 6/18*(-2 - c). What is the remainder when 99 is divided by (-2 - 1) + 78/u?
9
Suppose -5*v + 3*p + 133 = 0, -10*v - 3*p + 5 = -9*v. What is the remainder when 3156 is divided by v?
5
Let z(s) = s**3 + 7*s**2 - 11*s - 22. Calculate the remainder when 120 is divided by z(-6).
40
Let n = -9669 + 9750. Calculate the remainder when n is divided by 6/27 + (183/27 - 0).
4
Let q = 5 - -110. Let c(w) = -15*w - 159. Let v be c(-18). Suppose 5*i + 177 = 3*k, 5*i - v = -2*k + 7. What is the remainder when q is divided by k?
56
Suppose 36*z + 604 = 40*z. Let k = z + -142. Calculate the remainder when 43 is divided by k.
7
Let j(t) = -2*t**2 - 188*t - 724. Calculate the remainder when 3325 is divided by j(-89).
5
Suppose -4*u + 623 = 5*l, -u = -6*l + 4*l + 257. Let f be (-3)/12 - l/4. What is the remainder when (-1)/(((-4)/(-4))/f) + -1 is divided by 17?
14
Let r = 291 + 1598. What is the remainder when r is divided by 63?
62
Let s(b) = 40 + 19 - 3*b**2 - 1748*b**3 + 1747*b**3 + 4*b**2 + 17*b. Calculate 