160 = 0. Suppose -3*q + 4*d + 5 + 169 = 0, 2*q - 4*d = 112. What is the remainder when q is divided by g?
30
Let t be 30549/(-45) - (188/60 + -3). Calculate the remainder when (-6)/(-9) - t/21 is divided by (-1 + -5)*(-6)/4.
6
Calculate the remainder when 1*(-2)/14 - (-101260)/1162 is divided by 46.
41
Let w = -872 - -1265. Calculate the remainder when w is divided by 5.
3
Let t(y) = y**2 + 6*y + 10. Suppose -4*r + 118 = -9*b + 7*b, -4*b + 64 = 2*r. What is the remainder when r is divided by t(-7)?
13
Let n(v) = 4*v + 14 - 4*v + v. Let w be n(-7). Let o = w - 4. Calculate the remainder when 7 is divided by o.
1
Let v(f) = 6*f**2 + 2*f + 2. What is the remainder when 10 is divided by v(-1)?
4
Let v be -46 + -2 + (4 - -2). What is the remainder when 57 is divided by 212/7 + 12/v?
27
Suppose 10 = -5*u, 0 = -4*d - 21*u + 16*u + 1218. Calculate the remainder when d is divided by 24.
19
Suppose -90 = -3*b - 3*k, -b + 9 + 5 = -3*k. What is the remainder when 53 is divided by b?
1
Suppose 5*g - o - 13 = 2, 0 = -4*g - o + 3. Suppose 2*v - 5*v = -g*k + 12, -25 = -5*k + 5*v. Calculate the remainder when 5 is divided by k.
2
Suppose 0 = -3*y - 5*s + 8, 5*s = -3*y + 4*s + 16. Suppose -y*g + 458 = -88. What is the remainder when g is divided by (3 + 1)*(-46)/(-8)?
22
Suppose -23 = -5*d + 7. Suppose 3 = 3*t - d, 2*l + 3*t = 163. Calculate the remainder when l is divided by 20.
17
Let q(y) be the second derivative of 3*y**4/4 + 2*y**3/3 + y**2 - y. Let w be 7/70 + (-62)/20. What is the remainder when q(w) is divided by 24?
23
Let q = 572 + -532. Calculate the remainder when 62 is divided by q.
22
Let d = 8 - 4. Suppose -b = 3*b - 5*l - 315, 0 = -d*l - 12. Let r = 111 + -85. What is the remainder when b is divided by r?
23
Suppose -2*x + 44 = 4*d, -5*x + 86 = 19*d - 15*d. Calculate the remainder when 146 is divided by x.
6
Let h = 32 + -110. Let g = -47 - h. Suppose 9*o - 80 = 4*o. What is the remainder when g is divided by o?
15
Suppose -173 = -m - 159. Let p(x) = x**3 + 8*x**2 + 7*x - 4. Let a = 14 + -20. Calculate the remainder when p(a) is divided by m.
12
Suppose -4*t - 21 + 5 = 0, -2*g = 2*t - 320. What is the remainder when g is divided by 90?
74
Let a be (5 - 6)/((-1)/(-6)). What is the remainder when (-68)/a*18/12 is divided by 7?
3
What is the remainder when 99 is divided by 52 - (2 - 1)/(1 - 0)?
48
Let x be 2/10 - (928/(-10))/(-4). Let s = x + 36. Calculate the remainder when 23 is divided by s.
10
Suppose -4*j + 30 = 3*k, 0*k + 4*j + 12 = 4*k. Calculate the remainder when 21 is divided by k.
3
Let b be 2*(27/6 + -3). Suppose 0 = 2*l - b*g - 117, -13 = -l + 4*g + 53. What is the remainder when l is divided by 19?
16
Let y be ((15 + 3)*-1)/(-2). Suppose -4*p + y = -11. Suppose 0*z = p*z - 150. Calculate the remainder when z is divided by 11.
8
Let y(b) = 51*b + 4. Let s be y(-1). Let z = s + 82. Calculate the remainder when (-6)/14 - (-330)/z is divided by 3.
0
Let z(i) = -7*i + 21. Calculate the remainder when 102 is divided by z(2).
4
Let g = 3 - 5. Let o be (-2)/(-16) - (-207)/72. What is the remainder when (-8 + 2)*o/g is divided by 6?
3
Let q be (-6)/(-3) - (8 - 6). Suppose q = -2*v - 5*f + 24, 0*v - 2*v + 40 = -3*f. What is the remainder when 48 is divided by v?
14
Let l(w) = 88*w - 230. What is the remainder when l(4) is divided by 19?
8
Let y be (-1)/(-2)*368/4. Let u = y + -4. Calculate the remainder when u is divided by 22.
20
Suppose -5 = 5*u, -18 = -b + 7*u - 3*u. Suppose -d - 10 = 2*l, l + 3*d = -l - b. Let z(a) = a**2 + 3*a. What is the remainder when 13 is divided by z(l)?
1
Let w(h) = -h - 3. Let y be w(-9). Let r be 4/(-12) - (-14)/y. What is the remainder when (1/r)/((-2)/(-308)) is divided by 26?
25
Let j(t) = -t**3 - 7*t**2 - 5*t - 14. Let s be j(-7). Calculate the remainder when 16 is divided by (s/28)/((-2)/(-31 - 1)).
4
Suppose c - 19 = 4. Suppose -4*i = m - c, -4*i - 3*m + 6 = -7. Suppose 8*z + w - 39 = 6*z, -3*z + 61 = -w. Calculate the remainder when z is divided by i.
6
Let j be (-459)/(-15) + (-6)/(-15). Let f = 36 - j. What is the remainder when ((-18)/(-1))/(-1 - -2) is divided by f?
3
Let z(k) = 3*k - 38. Let b(c) = c - 3. What is the remainder when b(9) is divided by z(14)?
2
Let g be (-16)/4 + (3 - 0). Let c be (7 - 8)/(g/10). Let l = 21 - c. What is the remainder when 53 is divided by l?
9
Calculate the remainder when 8/(-6)*-9*17/6 is divided by 23.
11
Let t = 698 - 478. Calculate the remainder when t is divided by 15.
10
Let t = -13 - -8. Calculate the remainder when ((-245)/10 - t)*-2 is divided by 21.
18
Suppose -2*i + 5 = 11. Let p = i + 12. What is the remainder when 62 is divided by p?
8
Let p(x) = x**3 + 42*x**2 + 149. Calculate the remainder when p(-42) is divided by 43.
20
Suppose 3*u = 4*u + c - 5, -4*c - 1 = -3*u. Suppose u*i + 6 = 0, -i + 1 = 3*b - 0. Calculate the remainder when (b - -1)/(12/66) is divided by 4.
3
Suppose -163*o = -58*o - 5355. What is the remainder when o is divided by 26?
25
Suppose -18*p = -12*p - 1284. What is the remainder when p is divided by 7?
4
Let q(w) = 2*w**3 - 119*w**2 - 59*w - 26. Calculate the remainder when 202 is divided by q(60).
32
Calculate the remainder when (-4)/6 + (-4206)/(-18) + -6 is divided by 59.
50
Suppose 3*y + 3 + 0 = 2*h, 3*h = -2*y - 2. Let f be (-3)/(-1) + h + 4. Let r = f - -2. What is the remainder when 13 is divided by r?
4
Let f = -146 - -169. Calculate the remainder when f is divided by 22.
1
Suppose -4*v - v = 3*m - 46, -2*m = 5*v - 39. Let x(n) = -n - 1. Suppose -3*o + 7 = 49. Calculate the remainder when x(o) is divided by m.
6
Calculate the remainder when 58/(35/(-15) + 3) is divided by (3/(-18)*-45)/((-3)/(-4)).
7
Suppose 3*i + 6*q - 1 = q, q = -5*i + 9. Let p be -1 + -1 + 1 - -3. Suppose 0 + 62 = p*c + i*a, 3*a - 25 = -c. What is the remainder when c is divided by 12?
10
Let g(n) = -9*n - 20. Suppose b - 2*b + 3 = 0. Suppose -105 = -5*u + b*m, -2*u + 0*m = 5*m - 11. Calculate the remainder when g(-8) is divided by u.
16
Suppose 0 = 80*u - 182*u + 8058. What is the remainder when 293 is divided by u?
56
Suppose -2*x + x = -2. Let w(m) be the third derivative of 2*m**4/3 - m**3/2 - 4*m**2. What is the remainder when w(x) is divided by 15?
14
Suppose -20 = 5*f, -4*m = -3*f - f - 80. Let z = -7 + 5. Let b(c) = 17*c**2 + 2*c - 2. What is the remainder when b(z) is divided by m?
14
Suppose 0 = -3*v + v + 14. Let t(a) = 7*a - 9. Suppose -7*j = -23 + 2. Calculate the remainder when t(j) is divided by v.
5
Let u(g) = -g**3 - 6*g**2 + 4*g - 6. Let j = -1 + -6. Suppose -n + 27 - 29 = -3*t, 5*t - 22 = -3*n. What is the remainder when u(j) is divided by n?
3
Let k be 305/(-25) - 3/(-30)*2. Calculate the remainder when 95 is divided by 240/9 - k/(-18).
17
Suppose 0*q - 738 = -5*k - q, -4*k - 4*q + 600 = 0. Calculate the remainder when k is divided by 11.
4
Suppose -5*s = -5*i - 145, i - 4*s + 60 = -i. What is the remainder when 26 is divided by 12/8*i/(-3)?
12
Let v(r) = 35*r - 133. Calculate the remainder when v(6) is divided by 4.
1
Let l(k) = -k**3 + 39*k**2 - 76*k + 97. What is the remainder when 222 is divided by l(37)?
15
Suppose 71 = 4*w + 3*h, -5*h - 1 = -6*h. Calculate the remainder when 39 is divided by w.
5
Suppose 1634 = 17*s + 1039. Calculate the remainder when 487 is divided by s.
32
Suppose 2*l - 212 = -2*l. Calculate the remainder when l + (-3)/1 + 4 is divided by 19.
16
Let o(c) = 2*c**3 + 23*c**2 - 20*c + 15. What is the remainder when 883 is divided by o(-12)?
106
Let z(g) = 2*g**2 + 50*g + 442. Calculate the remainder when z(-11) is divided by 7.
1
Suppose 11*b = 233 + 20. Calculate the remainder when 83 is divided by b.
14
Let c(k) = 6*k - 2. Let f(d) = 61*d - 128. Calculate the remainder when f(3) is divided by c(5).
27
Suppose g + 3*g = n - 533, -g - 3*n = 117. Let s = -74 - g. Calculate the remainder when s is divided by 15.
13
What is the remainder when 179 is divided by 5/(((-33)/(-11))/9)?
14
Suppose -2*n + 86 = -46. Let t = n + -60. What is the remainder when 24 is divided by t?
0
Let g be (-636)/10 + (-14)/35. Let m = -93 - g. Calculate the remainder when 6/(8/(-4)) - m is divided by 7.
5
Let k be ((1 - 0) + 0 + -1)/(-1). Calculate the remainder when 43 is divided by 0/((-12)/(-3)) - (-9 - k).
7
Let j be (-6)/9 - (-20)/12.