
Let s be (11/(-55))/(1/(-10)). Suppose -13*z + 44 = -s*z. Let f(t) = t + 6. What is the remainder when f(3) is divided by z?
1
Suppose 6*f + 6 = 4*f, -f = 3*m - 2091. Let w = m + -666. Calculate the remainder when 351 is divided by w.
31
Suppose -1190 = -2*y + 1674. Calculate the remainder when y is divided by 41.
38
Let u(r) = r**3 + 5*r**2 + r - 2. Suppose -67 + 22 = -5*q. Suppose 13*g + 12 = q*g. Calculate the remainder when 33 is divided by u(g).
7
Let w(b) = -3*b**2 + 41*b - 5. Calculate the remainder when 1208 is divided by w(9).
119
Suppose -2*h - 50*h + 7592 = 0. What is the remainder when h is divided by 35?
6
Let w be (15/(-12) - -1)*440/(-10). Suppose 0 = -3*n + 4*y + 10 + 15, -5*y = 3*n + w. Calculate the remainder when 15 is divided by n.
0
Suppose 0 = 625*p - 631*p + 30. Suppose -2*w + 177 = p*d, -3*w - 4*d + 3*d + 233 = 0. What is the remainder when 758 is divided by w?
74
Let i be 2 - (-1 + 0 + -4). Calculate the remainder when (-147)/(-14)*(-324)/(-21) + 5 is divided by (i - 8) + (43 - 0).
41
Suppose 0 = -4*y + 3*c - 69, -5*c = 3*y - 4*c + 55. Let l(s) = -s**3 - 17*s**2 + 16*s - 34. Calculate the remainder when 46 is divided by l(y).
0
Let f(j) = -j**2 - 16*j + 10. Let x(t) = 2*t**2 + 2*t - 52. Let g be x(-5). Calculate the remainder when 231 is divided by f(g).
57
Suppose 6*q = -q - 21. Let z(l) = -l**3 - 2*l**2 - 4*l - 10. Let c(y) = -11*y - 4. What is the remainder when c(-4) is divided by z(q)?
7
What is the remainder when 175 is divided by (10/(-4))/(390/(-14664))?
81
What is the remainder when 1930 is divided by 24/((-192)/20)*(-168)/10?
40
Suppose -8*g + 13 + 411 = 0. What is the remainder when 55 is divided by g?
2
Let u = 111 - 1. Let p(r) = r - 30. Let g be p(16). Calculate the remainder when u is divided by g/(-4)*8/2.
12
Let i = 341 - 224. What is the remainder when 570 is divided by i?
102
Suppose -9 = -6*u + 3. Suppose -20 = 2*m - 0*m - u*g, 3*m + 3*g + 24 = 0. Calculate the remainder when 54 is divided by 4 - 2 - (m + 0).
10
Let l = 104 - 73. Let w = -328 + 2038. Let c = w + -1496. What is the remainder when c is divided by l?
28
Let f = -18 - -46. What is the remainder when 89 is divided by (-220)/(-35) - 8/f?
5
Let o(w) = -3*w**2 - 105*w + 89. Let y(a) = -2*a**2 - 52*a + 45. Let z(k) = 4*o(k) - 7*y(k). What is the remainder when z(28) is divided by 24?
17
Let i be (60/27 - 2) + (-46)/207. Suppose -10*k + 22*k - 276 = i. What is the remainder when 82 is divided by k?
13
Suppose -439*b + 66 = -436*b. Suppose -16*l + 198 = b. Calculate the remainder when 42 is divided by l.
9
Let i(u) = 6*u + 11. Let q be i(-6). Let t = q + 53. What is the remainder when 6/(-10) - 273/(-5) is divided by t?
26
Suppose 16*z + 21207 = -18*z + 25457. Let b = -13 + 19. What is the remainder when z is divided by b?
5
Suppose 37046 - 10442 = 36*i. Calculate the remainder when i is divided by 37.
36
Suppose 20*s - b - 578 = 18*s, 2*b - 1454 = -5*s. Let k(l) = 10*l + 25. What is the remainder when s is divided by k(0)?
15
Suppose 2956 - 6153 = -130*g + 10583. Calculate the remainder when 156 is divided by g.
50
Let x(o) = o**3 + 6*o**2 - 19*o - 14. Let f be x(-8). Calculate the remainder when 47 is divided by -8*f*(-1)/8.
7
Suppose -r = -45 - 11 - 1. What is the remainder when r is divided by 44?
13
Let o(u) = -391*u + 1595. Calculate the remainder when 399 is divided by o(4).
27
Let u(y) = -y**3 + 3*y**2 + 15*y + 6. Let a be u(-2). Calculate the remainder when 2 is divided by 6/14 + a/(-7).
0
Let o(s) = s - 7. Let b be o(10). Suppose x + k - 22 = -0*k, 0 = b*x - 4*k - 52. What is the remainder when 1296 is divided by x?
16
Let a(s) = -s**2 + 307*s - 603. Let f(l) = -l**3 - l**2 + 1. Let v be f(-1). Suppose -v = -x + 14. Calculate the remainder when x is divided by a(2).
1
Let h(y) = -8*y - 3. Suppose -4*v + 96 = 4*t, -7*v + 92 = -3*v + 3*t. What is the remainder when h(-4) is divided by 3/15 + 156/v?
5
Let b(q) = -580*q - 4589. What is the remainder when 567 is divided by b(-8)?
6
What is the remainder when 4588 is divided by (12/(-2) - -11)*(-17 - -475)?
8
Let z(o) = 12*o**2 + 12*o + 25. Let w be z(-5). Let j = w + -260. What is the remainder when 59 is divided by j?
4
Let m(q) = 90*q + 1215. Calculate the remainder when m(-10) is divided by 114.
87
Suppose 12*w + 7*w = -2907. Let m = w - -168. What is the remainder when 0 + -2 + (-90)/(-3) is divided by m?
13
Let d(u) = -2*u**3 + 42*u**2 + u + 11. Let m = -121 - -142. What is the remainder when d(m) is divided by 9?
5
Let o = 15631 - 15408. What is the remainder when o is divided by 104?
15
Let n(q) be the third derivative of -q**6/120 + 7*q**5/60 + 7*q**4/24 + 17*q**3/6 - 20*q**2. What is the remainder when 10 is divided by n(8)?
1
Let i = 281 + -274. Suppose -72 = q - i*q. Let k(w) = w**3 - 14*w**2 + 3*w + 1. What is the remainder when k(14) is divided by q?
7
Let l = 5437 + -5418. What is the remainder when 1784 is divided by l?
17
Let q(p) = -103*p + 23 + 58*p + p**2 + 50*p. What is the remainder when q(-11) is divided by 13?
11
Let f(z) = -z**3 + 28*z**2 - 56*z + 115. Let h = 111 + -82. Calculate the remainder when h is divided by f(26).
7
Suppose -15591 = -43*k + 15068. What is the remainder when k is divided by 211?
80
Let g = -8 + -76. Let a = g - -141. Let k = 50 - 35. What is the remainder when a is divided by k?
12
Suppose 17*a - 19*a = 5*g - 1426, -a + 702 = -3*g. What is the remainder when a is divided by 86?
20
Let h be (-56)/(-140) + (-6)/(-10). Let r = h + 4. Let y(b) = -b + 8. Calculate the remainder when y(r) is divided by 3.
0
Let u(v) = -v**3 + 4*v**2 - v + 3. Let t(z) = z**3 + 11*z**2 - 28*z - 24. Let a be t(-13). What is the remainder when 205 is divided by u(a)?
7
Let v = -3740 - -3753. Calculate the remainder when 467 is divided by v.
12
Let l(q) = 2*q**2 - 16*q - 40. Let x be l(-7). Suppose -3*m - 167 = -x. Calculate the remainder when 5 is divided by m.
0
Suppose -2*g = -99*g - 5*g + 16626. Calculate the remainder when g is divided by 54.
1
Let q be ((-452)/6)/((-24)/36). Let p = 163 - q. What is the remainder when 86 is divided by p?
36
Let l(n) = 4*n**2 - 5*n - 4. Let a = -554 + 559. Let f(i) = -6*i + 92. What is the remainder when l(-5) is divided by f(a)?
59
Suppose 0 = 5*b - 5*h - 65, -12 - 13 = -b + 5*h. Suppose v - 3*u = b + 12, -4*u = 12. Calculate the remainder when v is divided by 8.
5
Let j(v) = -v**3 - 22*v**2 + 420*v - 13. What is the remainder when 514 is divided by j(12)?
121
Let g(c) = c**3 - 14*c**2 + 8*c + 80. Calculate the remainder when 224 is divided by g(13).
14
Let y(s) = 14*s - 175. Let m be y(30). Let i = -180 + m. Let f = 52 + -30. Calculate the remainder when i is divided by f.
21
Let g(l) = 2*l**2 + 117*l + 3181. Calculate the remainder when g(-22) is divided by 1575.
0
Suppose i = 131 - 24. What is the remainder when i is divided by 96?
11
Let t(c) = 15*c**2 - 102*c - 1733. What is the remainder when t(-13) is divided by 3?
1
Suppose 5*p = 3*p - 6. Suppose -18*i - 35 = -19*i. What is the remainder when (-4 - p) + -1 - -69 is divided by i?
32
Let c(i) = 397*i + 1638. What is the remainder when 3996 is divided by c(-4)?
46
Let c(a) = -18*a - 330. Suppose -11 = j - 5*s - 1, 3*j + 70 = 5*s. Calculate the remainder when c(j) is divided by 9.
3
Calculate the remainder when (345/(-45) + 9)*327 is divided by 407.
29
Suppose 0 = -52*h + 1 + 4277 + 4094. Calculate the remainder when h is divided by 71.
19
Let i = 2899 + -2724. Calculate the remainder when i is divided by 31.
20
Suppose 4*s - 5*j - 1935 = 2*s, 2*j = 10. Suppose 5*l + 0*l = s. Calculate the remainder when l is divided by 51.
43
Let m(o) = -82*o - 2157. Suppose -r = 2*i - 4, 3*i - 2*i + 2*r + 4 = 0. Suppose i*l = -0*l + 92. Calculate the remainder when m(-27) is divided by l.
11
Suppose 83 + 156 = s - 5*i, -4*i + 20 = 0. Calculate the remainder when s is divided by 15.
9
Let d = -61 - -274. Let f = d - 203. Suppose 3*l = -n + 2*l + 12, -5*n - 4*l + 59 = 0. Calculate the remainder when n is divided by f.
1
Let l(i) = i**2 - 2*i + 3. Suppose -4*j = -4*r - 8, -2*j + 10 = 2*r - 6. Calculate the remainder when 194 is divided by l(j).
14
Let y = -6125 - -6316. Calculate the remainder when 7255 is divided by y.
188
Let m = 56 - 22. Let w(h) = h**3 - 3*h**2 - h + 4. Let p be w(2)