9 is divided by n.
5
Let v = -339 - -346. Suppose -3*b = -5*f + v - 48, 2*f = -5*b + 89. What is the remainder when 30 is divided by b?
13
Suppose -4*m + 434 = -2*o, 3*m - 19*o + 22*o - 339 = 0. Calculate the remainder when 124 is divided by m.
14
Suppose -120 = -5*n + 4*b + 43, -3*n + 93 = -4*b. What is the remainder when 145 is divided by n?
5
Suppose 110 = 2*a + 3*a - 5*o, 0 = a + 3*o - 6. What is the remainder when 1529 is divided by a?
17
Suppose -2*i - 2*i = 3*r + 14, 5*r + i + 29 = 0. What is the remainder when (-76)/r + 86/(-129) is divided by 2?
0
Let r(v) = 8*v**2 - 5*v + 9. Suppose -4*n - k + 14 = 0, -k - 8 = -2*n - 4. Calculate the remainder when 460 is divided by r(n).
64
Let t = 119 - 175. Let c = t + 58. Calculate the remainder when 21 is divided by ((-3)/c)/((15/24)/(-5)).
9
Let s(m) = 23 - 28*m - m**2 - m**2 + 8*m**2 - 4*m**2. What is the remainder when s(16) is divided by 27?
6
Let u = -241 + 243. Let g be 45*(12/(-20) + 1). What is the remainder when g/10*40/12 is divided by u?
0
Suppose f - 2*l + 2 = 0, 55*f = 56*f - 5*l + 14. Calculate the remainder when 314 is divided by f.
2
Let v = 59 + -20. Suppose -j = q + 3*q + v, 2*j = 2. Let t(d) = 2*d**2 + 15*d - 24. What is the remainder when 48 is divided by t(q)?
22
Let s(g) = 13*g**3 - 19*g**2 - 8*g + 8. What is the remainder when 4749 is divided by s(2)?
9
Let i(s) = 18*s**2 - 258*s - 260. What is the remainder when 50 is divided by i(-1)?
2
Suppose -20931 = -31*o + 4614 + 2138. What is the remainder when o is divided by 60?
53
Suppose -686*z - 728 = -694*z. What is the remainder when z is divided by 20?
11
Suppose 2*h - 7054 = -6596. Calculate the remainder when h is divided by 8.
5
Suppose f + 0*v = -v + 20, 50 = 3*f - 2*v. What is the remainder when (-81)/63*(2 + -23) is divided by f?
9
Let s(q) = q**2 + q - 13. Let j be s(2). What is the remainder when j + (6 - 0) - -180 is divided by 10?
9
Let w(p) = -5 + 2 - 12*p - p**2 + 6*p. Let j be w(-2). Let q(k) = k**3 - 6*k**2 + 5*k + 10. Calculate the remainder when 37 is divided by q(j).
7
Suppose -56591 + 22547 = -26*c + 16110. Calculate the remainder when c is divided by 19.
10
Let v(r) = -56*r**3 - 4*r**2 + 50*r + 264. What is the remainder when v(-5) is divided by 52?
50
Let w(h) = h - 4. Let y be w(9). Suppose -l - 3 + 1 = -5*n, -77 = -y*l - 4*n. Let v = 7635 + -7627. Calculate the remainder when l is divided by v.
5
Let l(h) = 2*h**2 - 16*h + 48. Let b be l(5). Suppose 24*p - 540 = b*p. What is the remainder when p is divided by 31?
28
Suppose 1007 = -4*i + 8*i - 3*n, -4*i + 1000 = 4*n. Calculate the remainder when 251 is divided by i.
0
Let m(i) = 2*i + 13. Let s be m(-5). Suppose -26*d = -29*d - 4*w + 31, s = -d - 4*w. Calculate the remainder when 116 is divided by d.
14
Suppose -u - 4*u = 5*z - 280, -5*u + 4*z + 307 = 0. Let x = 1743 - 1723. What is the remainder when u is divided by x?
19
Let n(b) be the third derivative of b**5/60 + 8*b**3/3 - 37*b**2. What is the remainder when 127 is divided by n(-7)?
62
Suppose -40 = -g - j, g + 172 = 5*g + j. Let t = 74 - g. What is the remainder when 114/10 + 18/t is divided by 8?
4
Suppose 29*w = 16*w + 247. Suppose -w + 79 = 12*c. What is the remainder when c is divided by 4?
1
Let m(n) = -14*n - 7. Let y be (33 + 30)*10/4*2. Suppose 4*i - s - 405 = 0, 0*i - y = -3*i - 3*s. Calculate the remainder when i is divided by m(-3).
32
Suppose -104*f - 2390 + 16014 = 0. What is the remainder when 231 is divided by f?
100
Let k(i) = -i**3 + 27*i**2 - 84*i - 15. Let h(x) = -x**2 - 2*x + 110. Calculate the remainder when h(0) is divided by k(4).
8
Let r(z) be the first derivative of 121*z**3/3 + 9*z**2/2 + 62. Calculate the remainder when r(-1) is divided by 39.
34
Let c(h) be the third derivative of -5*h**4/24 + 16*h**3 + 64*h**2. Calculate the remainder when c(-19) is divided by 48.
47
Let j(a) = a**3 + 62*a**2 - 75*a - 739. Let n = -52 - -186. What is the remainder when n is divided by j(-63)?
15
Suppose -47 = -2*c + 69. Suppose -4*p + 7*p - 391 = -r, 3*p + 1221 = 3*r. Calculate the remainder when r is divided by c.
55
Suppose -5*k + 25 = -33*f + 38*f, 3*f - 4*k = -13. Suppose -5*t + 23 + 2 = 0. Suppose t*p - f = 4, 4*p + 32 = 4*a. What is the remainder when a is divided by 3?
0
Let r(n) = 2*n**2 + 63*n - 224. What is the remainder when 235 is divided by r(4)?
55
Let y(r) = 3*r**2 - 123*r - 2253. Calculate the remainder when y(-24) is divided by 45.
42
Let t(b) = -15 + 4 - b - 2 + 30. Let m be t(19). Calculate the remainder when 62 + m*-2*(-3)/(-12) is divided by 6.
3
Let h = 358 + -123. Calculate the remainder when (h/20)/(2/8) is divided by 17.
13
Let g = -10281 - -11126. Calculate the remainder when g is divided by 114.
47
Let j(f) = 9*f**2 - 55*f - 58. Calculate the remainder when j(24) is divided by 13.
10
Suppose -4*a - 4*l = -609 - 587, 4*a + l - 1217 = 0. What is the remainder when 8255 is divided by a?
299
Calculate the remainder when 440 is divided by 98/140*35*24/7.
20
Suppose -n = -20 - 27. Let c = -49 + n. Calculate the remainder when 19 is divided by (5 - 0) + c + 4.
5
Suppose -5072 = -4*a - 5*v, 2*v = 15*a - 16*a + 1265. Calculate the remainder when a is divided by 35.
13
Let r = -80 - -36. Let g = 46 + r. Suppose 0 = a - v - 3, 0*a + v = -g*a + 6. Calculate the remainder when a is divided by 2.
1
Suppose 5*k = -11*k + 3088. Suppose -165 = -2*w - 5*n + 34, 3*n = -2*w + k. Let l(s) = -18*s + 1. Calculate the remainder when w is divided by l(-1).
16
Suppose -31*c = 11*c - 7928 - 14962. What is the remainder when c is divided by 50?
45
Let w(g) = -g**3 - 2*g**2 + 2*g - 1. Let y be w(-3). Calculate the remainder when 13 is divided by (y/(-4))/(14/(-84)).
1
Let k = 1524 - 975. Suppose -7*b + k = 122. What is the remainder when b is divided by 16?
13
Let v(p) = 3*p**2 + 3. Let x(q) = 4*q**2 - q + 3. Let z(d) = 5*v(d) - 4*x(d). Suppose 0 = 10*m - 184 + 154. Calculate the remainder when 27 is divided by z(m).
3
Suppose 2*t - 4*f = 42, -6 = -0*t - t - f. Suppose -3*n = -t*n + 96. Let i = 9 + n. What is the remainder when 60 is divided by i?
18
Suppose -3826 = -4*p - 9*y + 4*y, p - 962 = -4*y. What is the remainder when p is divided by 139?
120
Let a(p) = -p**3 + 18*p**2 + 19*p + 14. Suppose 35 = 2*q + 3*m, 2*m + 8 + 12 = 2*q. Suppose -q*k + 177 = -70. What is the remainder when 39 is divided by a(k)?
11
Let b be -1*(-2 + -5 + -574). Let y = b - 376. Calculate the remainder when y is divided by 52.
49
Let g(u) = -u**3 + 5*u**2 - 8*u - 62. Calculate the remainder when g(-6) is divided by 32.
30
Suppose -21 + 93 = 4*u. Calculate the remainder when -23*(-2)/138 + (-374)/(-3) + 0 is divided by u.
17
Let r = -7 + 20. Suppose r*u - 14*u = -40. Calculate the remainder when u is divided by 15.
10
Let v(f) = 6*f**2 - 26*f - 104. What is the remainder when 116 is divided by v(7)?
4
Suppose -2*w = w - 75. Let m = w - 10. Calculate the remainder when ((-178)/(-4) - 19) + (-21)/6 + 3 is divided by m.
10
Let k(c) = 11*c - 4 - 15*c**2 - 10 - 2 - c**3. What is the remainder when k(-16) is divided by 23?
18
Let q = -15292 + 15310. What is the remainder when 381 is divided by q?
3
Let z(n) = -2*n**2 + 6*n + 26. Let q be z(6). Suppose 4*o = -0*o + 20. What is the remainder when 99 is divided by q/(-4)*(5 + o)?
24
Let d(p) = -54*p - 46. Let k be d(-4). Let a = -51 + k. What is the remainder when a is divided by 36?
11
Let p(x) = 6*x - 32. Suppose t = 11*t - 60. Calculate the remainder when 117 is divided by p(t).
1
Calculate the remainder when 65 is divided by 3 - 28*(-10)/40.
5
Let r = -12592 - -12621. What is the remainder when 9915 is divided by r?
26
Let c be (-6)/(-4) + (2/(-4) - -4). Suppose 30 + 11 = 3*a + 4*m, -80 = -5*a + c*m. Suppose 3*h + 0 = 9. Calculate the remainder when a is divided by h.
0
Calculate the remainder when (-6 - -5)*(-9 + -4 + 6 - 1530) is divided by 1521.
16
Suppose 0 = -4*z - 2*h + 972, 1104 = 5*z - 5*h - 141. Let f = -226 + z. Calculate the remainder when f is divided by 4.
3
Suppose o = -4*v + 9, -2*o = -0*o - 3*v - 29. What is the remainder when 9*(7 - 5552/792)*-3949 is divided by o?
8
Let f be 204/17*3/18. Suppose f*b = 5*b - 111. What is the remainder when b is divided by 10?
7
Let t(a) = -8*a**3 + a**2. Suppose 110 + 10 = 12*u. Calculate the remainder when t