46. Calculate the remainder when w(31) is divided by 107.
105
Let r = -317 + 284. Let h(l) = 2*l**2 + 65*l + 16. What is the remainder when h(r) is divided by (3/2)/((-3)/(-52))?
23
Suppose -30*k + 499 = 109. Let x = 41 - 36. Suppose 0 = 4*t + x*t - 333. What is the remainder when t is divided by k?
11
Suppose 8*i + 228 = 4*v + 12*i, -3*v - 5*i = -161. Calculate the remainder when 928 is divided by v.
60
Suppose -d + 305 = 309. Calculate the remainder when 212 is divided by d + 5/((-35)/(-406)).
50
Let s(i) = i**2 + 8*i + 16. Suppose 47*l + 12 = 35*l. Calculate the remainder when (-1)/(72/(-70) - l) is divided by s(-7).
8
Suppose 13*l - 4*b = 16*l - 265, -16 = -4*b. Calculate the remainder when l is divided by 6.
5
Suppose 5*f = -11*f - 16. What is the remainder when f/3*2055/(-5) is divided by 20?
17
Let x(d) = 3*d**2 - 37*d - 187. What is the remainder when 280 is divided by x(-5)?
61
Calculate the remainder when (-463)/(1 - 2) + -3*2 is divided by 47.
34
Let u = -5 - -12. Let h = 10 + u. Calculate the remainder when 585/(-6)*(-6)/9 is divided by h.
14
Suppose -42 = -5*q - 22. Suppose -6 = -4*y - 4*m + 962, 0 = 4*y - q*m - 992. What is the remainder when y is divided by 84?
77
Suppose -18 = f - 50. Let t = -544 + 549. Calculate the remainder when f is divided by t.
2
Suppose 56 = 4*i - 2*k - 90, -2*i + 70 = -2*k. Suppose 48387 = 609*a - 85351 + 41779. What is the remainder when a is divided by i?
37
Let p be 2/4*(300 + -4). Let b be -2*(-20)/(-8) - (-85 - -3). Let t = p - b. What is the remainder when t is divided by 24?
23
Suppose 3770 = -16*t + 4410. What is the remainder when 638 is divided by t?
38
Let d be (2/6)/((-15)/(-630)). Suppose 0 = -5*i + 25, -3*i = 4*n - 49 + d. Suppose -n*h = -108 + 8. What is the remainder when 58 is divided by h?
18
Suppose 0 = 2*r + 8 + 4. Let f(b) = -117*b - 125. Let g be f(-1). What is the remainder when g/r*273/52 is divided by 5?
2
Let y(o) = -20*o + 569. What is the remainder when y(20) is divided by 157?
12
Let w = -125 - -71. Let o = 13 - w. Suppose 83 = 5*d - o. Calculate the remainder when 58 is divided by d.
28
Suppose 0 = 86*s - 49*s - 7844. Calculate the remainder when 1677 is divided by s.
193
Let i = -314 - -319. Suppose 3*b + 6 = 0, 4*h - 2*b = -b + 10. Let d(s) = 10*s - 2. What is the remainder when d(h) is divided by i?
3
Suppose 5*o = 5*u + 54 + 46, 0 = -3*o - 3*u + 54. Calculate the remainder when 507 is divided by o.
13
Suppose -3*j - 1058 = a, -9*a - 12 = -12*a. Let g = -152 - j. What is the remainder when g is divided by 53?
43
Suppose 79*s + 1470 = 109*s. Calculate the remainder when 193 is divided by s.
46
Let u(o) = o**2 + 23*o + 76. Let a be u(-20). Let x(z) = 5*z - 64. What is the remainder when 53 is divided by x(a)?
5
Let u(f) = 4*f**2 - f. Suppose 2*y = 1 - 11. What is the remainder when u(4) is divided by (-15)/(-12)*-14*6/y?
18
Suppose -46*m + 3373 = -11715. What is the remainder when m is divided by 24?
16
Let n(u) = -19*u + 843. What is the remainder when n(24) is divided by 386?
1
Suppose 0 = 2*g + 3*u - 1, -5*g - 4*u + 3*u = 4. What is the remainder when 12 - (g + 0)/(-1) is divided by ((-276)/(-33) - 8/22) + -4?
3
Let a = -20081 - -20148. Calculate the remainder when 563 is divided by a.
27
Calculate the remainder when (-1 - 0)*6 + -78*(-136)/16 is divided by 55.
52
Suppose v + 36 = 3*d + d, 0 = -5*d + 4*v + 34. Suppose 5 = -d*l + 995. What is the remainder when l is divided by 29?
12
Let t = -10120 + 10231. What is the remainder when 544 is divided by t?
100
Suppose 0 = -185*q + 178*q + 980. Suppose -u = 2*k - 60, -2*u - 2*k + q = -3*k. What is the remainder when 72 is divided by u?
4
Let u(o) = o**2 - 161*o + 1997. What is the remainder when 765 is divided by u(11)?
71
Suppose -3*w + i + 629 = 0, 0 = 8*w - 5*w + i - 637. Let s = -213 - -240. Calculate the remainder when w is divided by s.
22
Let x(k) = -k**3 - 59*k**2 - 131*k - 833. Calculate the remainder when 538 is divided by x(-57).
130
Let n(f) = -69*f + 179. Let j be n(0). Suppose -2*c = 5*p - 116 - j, -p + 66 = -c. Calculate the remainder when p is divided by 13.
9
Let r(c) = 2*c**2 - 109*c + 1853. Calculate the remainder when 549 is divided by r(18).
10
Let v(z) = -z**3 - 28*z**2 + 27*z + 870. Calculate the remainder when v(-30) is divided by 49.
47
Let f(m) = -2*m**2 + 18*m + 26. Let z be f(14). Let k = 133 + z. What is the remainder when 37 + 0 + -6 + 4 is divided by k?
16
Let y = 40179 - 40163. Suppose 53 = 3*p - 79. What is the remainder when p is divided by y?
12
Suppose 3*d = 945 - 921. Calculate the remainder when ((-17)/17)/(1/(-53)) is divided by d.
5
What is the remainder when (792/(-495))/(2/2610)*2/(-6) is divided by 72?
48
What is the remainder when 2353 is divided by (3/2)/((-24)/(-992))?
59
Let i be 1/1*(4 + -1). Let o(d) = -d**3 + 9*d**2 - 6*d + 1. Calculate the remainder when i/(9/(-3)) - -65 is divided by o(8).
13
Let u(d) = 23*d**2 + 42*d - 65. What is the remainder when u(-6) is divided by 169?
4
Let r be 3 - 35/(-2)*-2. Suppose 168 = 3*l + 48. What is the remainder when l is divided by (-80)/(-6) + r/(-48)?
12
Suppose -354*j = -355*j + 124. Let g = j - 9. What is the remainder when g is divided by 40?
35
Calculate the remainder when 1156 + 0 + (-7)/7 is divided by 381.
12
Let j(f) = -4*f + 10*f + 2 - 3*f. Let v be j(14). Suppose v = 3*b - 2*u - 3*u, 3*b - 3*u = 42. What is the remainder when 38 is divided by b?
12
Let l = -12891 - -12990. What is the remainder when 4353 is divided by l?
96
Suppose 0 = 29*o - 87*o - 116. What is the remainder when 167 is divided by ((-6)/4)/(o/12)?
5
Let u be (-6)/(-4) + (-5)/2. What is the remainder when u/(6/1086)*1/(-1) is divided by 17?
11
Suppose 0 = -30*l + 2624 - 2204. Let w(a) be the first derivative of 2*a**3/3 + a**2/2 + 3*a + 1. What is the remainder when w(3) is divided by l?
10
Suppose 26 = -3*t - 28. Let d = t - -32. Suppose 4 = 2*s - 4. Calculate the remainder when d is divided by s.
2
Let n(w) = w**3 - 6*w - 8. What is the remainder when 794 is divided by n(4)?
26
Let h = 90 + -5. Let l = -122 + 145. Suppose 3*c = -4*v + l, 0 = -2*v + v - c + 5. What is the remainder when h is divided by v?
5
Let f = -310 + 303. Suppose 2*b = 6*b + 8, -3*w - 79 = 2*b. Let n = f - w. What is the remainder when 33 is divided by n?
15
What is the remainder when 2341 is divided by (-779)/(-11) - (-18 - (-3136)/176)?
69
Suppose 0 = -2427*g + 2429*g - 566. What is the remainder when g is divided by 59?
47
Let p(s) = s**3 + 6*s**2 - 9*s + 7. Let b = 3266 + -3197. What is the remainder when b is divided by p(-7)?
6
Suppose -3*q - 4*x + 15 = -105, 185 = 4*q - 3*x. Suppose 5*l + 5*n - 920 = 0, -5*l + 910 = q*n - 49*n. What is the remainder when l is divided by 39?
27
Let u(h) = h**3 - 26*h**2 + 27*h - 47. Let t be u(25). Suppose t*l - 3*k + 9 = 6*l, -2*k + 10 = 3*l. Calculate the remainder when 55 is divided by l.
3
Let x(k) = 0*k + 2*k + 0*k - 11*k - 83. What is the remainder when x(-16) is divided by 10/25 + (-33)/(-5)?
5
Suppose -q - 4*r + 17 = 0, -4*r - 2 = 2. Suppose 2255 + 7924 = -29*w. Let l = w - -450. What is the remainder when l is divided by q?
15
Let p(b) = b**2 + 7*b + 11. Let h be p(-5). Suppose 6*l - h = 5. Calculate the remainder when 432/16 + -2*l is divided by 13.
12
Let u = -31 - -10. Let c be (-78)/u - (15/21 + -1). Calculate the remainder when 3/c + (-385)/(-4) is divided by 50.
47
Let l(d) = 12*d - 795. Suppose -5*y + 2*w + 209 + 69 = 0, 4*w = -3*y + 172. What is the remainder when y is divided by l(68)?
14
Let y(z) = -z**2 + 17*z - 27. Let s(f) = f**3 - 7*f**2 - 12*f + 6. Let g be s(8). Let d = 41 + g. What is the remainder when 4 is divided by y(d)?
1
Suppose 4*p - 18 = 30. Suppose -p*y - 1456 = -28*y. Let l = -69 + y. What is the remainder when 56 is divided by l?
12
Let x(w) = -2*w + 2. Let b(p) = -6*p. Let q be b(3). Let o(r) = r**2 + 15*r - 21. What is the remainder when o(q) is divided by x(-8)?
15
Let j be (24/10)/((-3)/40). Let z(u) = 13*u**2 + 3*u. Calculate the remainder when z(-2) is divided by ((-152)/j)/19 - 99/(-4).
21
Let z = -916 + -574. Calculate the remainder when (z/50 + 5)*5/(-2) is divided by 6.
2
Suppose 5*l - 10*l + 15 = 0. Let n be 5/((-15)/(-6))*l. Calculate the remainder when 8 is divided by n/(-9)*6/(-2) + 1.
2
Let