when 38 is divided by f.
12
Suppose -5*a + 3*h = -236, 1974*a - 144 = 1970*a - 4*h. What is the remainder when 612 is divided by a?
10
Suppose -4836 = -3*r - 5*o, 4*r + 7*o = 5*o + 6448. Calculate the remainder when r is divided by 18.
10
Let d(l) = l**2 - 35*l + 3. Let m = -10 - -29. What is the remainder when m is divided by d(0)?
1
Let h(c) = -8*c**3 - 24*c**2 - 3*c - 10. Suppose 5 = -4*i + 5*z, 5*z = 2*i - 6 + 1. Calculate the remainder when h(-4) is divided by ((-34)/5)/(1/i).
28
Let w = 44 + -39. Suppose -w*x + 0*x - p = -18, 2*x - 3*p - 14 = 0. Suppose 88 = -0*j + x*j. What is the remainder when 64 is divided by j?
20
Let o = -89287 + 89459. Let w(d) = 10*d - 2. Calculate the remainder when o is divided by w(5).
28
Let d(l) = -3*l**3 - 2*l**2 + 3. Let f be d(-2). Suppose 11*v = 10*v + 3*m + f, 3*v - 3*m = 27. Calculate the remainder when -2 + 1 - (-15 + 1) is divided by v.
1
Let x(v) = 3*v**2 + 80*v + 33. Let l(h) = 237*h**2 - 2*h + 1. What is the remainder when l(1) is divided by x(-27)?
56
Let j = -25026 - -25068. What is the remainder when 957 is divided by j?
33
Suppose 0 = 5*n + 3*g - 759, -n + 177 - 12 = 5*g. What is the remainder when 1335 is divided by n?
135
Suppose 5*t + 25 = 0, -3*c - 3*t = -19015 - 6635. What is the remainder when c is divided by 92?
91
Let s = 5480 + -4885. What is the remainder when s is divided by 30?
25
Let s = -7955 - -8076. What is the remainder when s is divided by 78?
43
Let s = 7 + -11. Let l(m) = -21*m - 13. Let y be l(s). Suppose -3*h + y = 8. Calculate the remainder when h is divided by 8.
5
Suppose -41*d + 90 = -39*d. Let h = 1681 + -1370. What is the remainder when h is divided by d?
41
Suppose -4*i + 51 = -53. Let q be (46 - 2)*3686/152. Let n = q + -991. What is the remainder when n is divided by i?
24
Calculate the remainder when 1940 is divided by (-11000)/(-190) - 12/(-114).
26
Let k = 3821 - 1051. Calculate the remainder when k is divided by 59.
56
Suppose -10*y = -16*y + 6204. Let f = y + -1000. Calculate the remainder when 146 is divided by f.
10
Let d = 5042 + -2670. Calculate the remainder when d is divided by 95.
92
Let l(r) be the third derivative of r**5/60 + 3*r**4/8 + 5*r**3/3 + 3*r**2. Calculate the remainder when (2 + -2 - -3)*114/9 is divided by l(-10).
18
Suppose 0 = 3*k - 4*p - 1296 + 405, -4*k - p = -1150. Calculate the remainder when k is divided by 102.
85
Let k(m) = -m**3 + 16*m**2 - 15*m - 9. Let w be k(15). Let c(i) = -13 - 35*i**2 + 0 + 34*i**2 - 14*i. Calculate the remainder when 94 is divided by c(w).
30
Suppose -39*b = 36*b - 14400. What is the remainder when 1914 is divided by b?
186
Let m = 2653 + -2604. Calculate the remainder when 372 is divided by m.
29
Suppose 0 = -4*q + 3*q + 113. Let s = -76 - -130. Suppose -14*b + 12*b + 4*a = -s, -3 = -b - 4*a. Calculate the remainder when q is divided by b.
18
Suppose 2*w - 3*c - 1086 = 0, -16*c + 21*c = -2*w + 1038. Calculate the remainder when w is divided by 5.
4
Let x be 2 + 4 + -3 - (30 - -1). Let v(n) = -5*n - 4. Let m be v(8). Let d = x - m. What is the remainder when 63 is divided by d?
15
Let o be (-1)/(560/568 + -1). Let m = o + -55. Calculate the remainder when m is divided by 4.
0
Calculate the remainder when 234 is divided by (-26)/(-6)*18 + -1 + 2.
76
Let s(x) = -3*x. Let d be s(-1). Let c(y) = 22*y - 19. Suppose 656 = -11*k + 13*k. Calculate the remainder when k is divided by c(d).
46
Suppose -w = -j - 8, 4*j + j + 4 = w. Let f = 4 + w. Let v(d) = -d**3 - 163*d**2 + 845*d + 845. What is the remainder when f is divided by v(-168)?
3
Suppose -45*n + 42*n = 2*a - 5518, 5*n = a + 9175. What is the remainder when n is divided by 46?
42
Let r(o) = -11*o + 13. Suppose 5*t + 5 = f - 2*f, 3*t - 5*f = 25. Let z be (t + (-6)/(-2))*(-20 + 18). What is the remainder when r(z) is divided by 20?
19
Let l = 258 + -256. Suppose y - 389 = -3*y + k, 0 = l*k + 10. Suppose -f + 9 + 2 = 0. Calculate the remainder when y is divided by f.
8
Let z(u) = -3*u + 27. Let c be z(-5). Suppose -c*j - 29 = -43*j. Suppose 0 = 2*a + p - 23, 4*p - 7 = -3*a + 15. Calculate the remainder when j is divided by a.
1
Let c(j) = 6*j**3 - 3*j + 13. Let y be c(4). Suppose w - 8*w = -y. Suppose -w*b + 50*b = -125. What is the remainder when b is divided by 9?
7
Calculate the remainder when 9682 is divided by 15605/45 + -1 - 118/(-531).
340
What is the remainder when 416 is divided by (((-10)/6)/((-6)/108))/(18/9)?
11
Suppose -2796*w + 2719*w = -139524. What is the remainder when w is divided by 69?
18
Let b(c) = -13*c + 513. What is the remainder when 219 is divided by b(38)?
10
Let v(f) = 41*f - 44. Let s be v(2). Let l(b) = -b**3 + 40*b**2 - 63*b + 92. What is the remainder when l(s) is divided by 49?
47
Let f = 1061 + -1043. Let b = -69 - -121. Calculate the remainder when b is divided by f.
16
What is the remainder when 9988 is divided by 31/(279/(-5562))*(-3)/18?
100
Let d be 12/108 - 5/(135/(-348)). Suppose -2*f + 20 = 4*q, 4*q = 5 - d. What is the remainder when 30 is divided by f?
2
Suppose -70*d + 77*d - 280 = 0. Suppose -97 = -3*c - d. What is the remainder when 436 is divided by c?
18
Let s = -11203 - -11223. What is the remainder when 236 is divided by s?
16
Suppose 58*a - 57*a = 15. Suppose 3*b + 2*r = 3*r + 91, -4*b - r + 112 = 0. What is the remainder when b is divided by a?
14
Suppose -67*h + 53*h = 2702. Let j = h + 222. What is the remainder when 169 is divided by j?
24
Let t(a) = 2*a**2 - 5*a + 1. Let m be t(-4). Suppose 3*b - 82 = 7*b - x, 3*b - 5*x = -m. Calculate the remainder when 8 is divided by 4/(-3)*b/28.
0
Let f(j) = -j**3 + 6*j**2 - 3*j - 1. What is the remainder when (-4445)/(-49) - 2*(-1)/7 is divided by f(4)?
15
Let m be (-15)/(-35) + (-1335)/(-21). Let u = -293 + 241. Let x = u + m. What is the remainder when 34 is divided by x?
10
Suppose 0 = 27*p - 281 - 89 - 629. Calculate the remainder when p is divided by 26.
11
Let f(i) = 3*i**2 - 90*i + 42. Let a be f(28). What is the remainder when (-1 + a/(-45))/((-6)/(-50)) is divided by (9*-1)/((-12)/8)?
3
Let l(g) = -31*g + 1786. What is the remainder when l(22) is divided by 111?
105
Suppose 8*w - 26 = 3*w + 9. What is the remainder when 155 is divided by w?
1
Let d be -3 + 1 - (-22 + 0 + 12). Let j(v) = 2*v**3 - 15*v**2 - v + 26. What is the remainder when j(d) is divided by 7?
5
Let n be (5574/24 + -1)/((-3)/(-12)). Suppose 59*o = 34*o + n. What is the remainder when 331 is divided by o?
35
Suppose 3*f + 34*f = 74. Suppose 4*l - 3*n = 164, 0*n + 164 = 4*l + f*n. Let q = -9 + 21. Calculate the remainder when l is divided by q.
5
Suppose 8 = 2*c - 4*g, 54 = 4*c + g - 7. What is the remainder when c is divided by (-2 + -2)/((-8)/10)?
4
Suppose 23*p - 50 = 22*p + 3*l, 0 = -5*p + 3*l + 298. Suppose 7*i - 76 = -p. What is the remainder when 120 is divided by i?
0
Suppose -3*n + 576 = -3*s, 348*s - 10 = 343*s. Let q(b) = 6*b**2 - b - 2. What is the remainder when n is divided by q(3)?
47
Suppose n + 3*n - 76 = 0. Let x(q) = 24*q - 9. Let h be (10/8)/((-67)/(-268)). Calculate the remainder when x(h) is divided by n.
16
Suppose 4*x + 70 - 424 = -d, 4*x + 338 = d. What is the remainder when d is divided by (0 - (1 - 4)) + (10 - 1)?
10
Suppose -m - 7*m - 2224 = -16*m. Calculate the remainder when m is divided by 73.
59
Let k(q) = 2*q**2 - 3*q - 150. Suppose -4*u + 1 = 3*a - 38, -12 = -u - 3*a. Calculate the remainder when k(-9) is divided by u.
3
Let m = 12745 - 12606. What is the remainder when m is divided by 60?
19
Suppose -157*q + 23420 = 7249. What is the remainder when 298 is divided by q?
92
Suppose -45877*o - 45897*o + 91714*o + 12600 = 0. Let y = 53 - 17. Calculate the remainder when o is divided by y.
30
Suppose -29*s = -147832 + 39517. Calculate the remainder when s is divided by 34.
29
Suppose 0 = -17*x + 73 - 5. Let j(d) = 4*d**2 - 3*d - 2. Calculate the remainder when 147 is divided by j(x).
47
Let y = 21128 - 20906. What is the remainder when y is divided by 4?
2
Suppose 8*g - 3*i = -i + 422, 0 = -g - 2*i + 37. Let q(o) be the third derivative of o**4/6 - o**3/3 - 5*o**2. What is the remainder when g is divided by q(5)?
15
Suppose -8*o = -105 - 31. Suppose -5*m = w - 645, -m - 4*w + 93 = -o. Calculate the remainder when m is divided by 44.
42
What is the remaind