*d = n - 1037, -3*d + 2451 + 1679 = 4*n. Calculate the remainder when n is divided by 12.
11
Let o(l) = 552*l - 13. Let j be o(1). Suppose -c = -5, -j = -2*u - 2*c - c. What is the remainder when u is divided by 38?
34
Let w be (-115)/(-23) - (0 - 6). Let d(g) = -11*g + 132. What is the remainder when 53 is divided by d(w)?
9
Calculate the remainder when (-4277 - -648)/(2 - (-6)/4*-2) is divided by 21.
17
Suppose m = -3*m + 56. Suppose -4*p - 60 = -m*p. Calculate the remainder when 21 is divided by p.
3
Calculate the remainder when 227 is divided by 5 + (-11710)/(-55) - 13/(-143).
9
Let f be (2 - 0)*176/(-32). Suppose 28*m - 492 = 24*m. What is the remainder when m is divided by (-4809)/(-231) + (-13)/f + -1?
18
Suppose 5*y + 2*y = -42. Let s(t) = -3*t + 16. What is the remainder when (-3 - y) + 116 - -1 is divided by s(-5)?
27
Let z = 106 + -246. Let q = -138 - z. Suppose -62 - 92 = -q*g. Calculate the remainder when g is divided by 21.
14
Suppose 5*i + 525 = l, -186 = -5*i - 3*l - 691. Let q = -103 - i. Calculate the remainder when 7 is divided by q.
0
Let p(g) = 4*g. Let w be p(2). Suppose 8*r = 10*r - w. Suppose r*o - 60 = -m, 0 = 3*m - m. Calculate the remainder when 58 is divided by o.
13
Suppose 5*d - 176 = v, 31 - 21 = d + 4*v. Suppose u - 5*z - 157 + 38 = 0, 3*z = -4*u + 522. Calculate the remainder when u is divided by d.
27
Let x be ((-84)/90 - 4/10)*-3. Suppose -4*n = -4*s - 128, -3*n - 136 = -7*n - x*s. Calculate the remainder when 45 is divided by n.
12
Let k(h) be the third derivative of -h**4/6 + 25*h**3/2 + h**2 - 21*h. Let r(l) = -3*l + 1. What is the remainder when k(10) is divided by r(-6)?
16
Suppose -3*i = 5*b - 684, 868 = 5*i - 9*b - 376. What is the remainder when 257 is divided by i?
19
Let x = 28 + -19. Suppose -5*j = x + 26. What is the remainder when 3320/140 - 2/j is divided by 3?
0
Let i(a) = 40*a - 141. Let b be i(5). Suppose 0 = j + 2, -4*j = -2*z + b - 3. Calculate the remainder when z is divided by 18.
6
Let y(z) = -z**3 - 43*z**2 - 22*z - 86. Calculate the remainder when y(-45) is divided by 28.
26
Suppose 5*k - 740 = 2*u, 2*k - 4*k + 2*u = -302. Let w = k + -141. What is the remainder when 32 is divided by w?
2
Let s = 2459 + -2447. Calculate the remainder when 93 is divided by s.
9
Let v be (-21)/(49/7) + 105. Let x = v + -89. Calculate the remainder when 76 is divided by x.
11
Suppose -5*z + 2*u - 4 = 0, -6*z - 8 = -z - 4*u. Let o = 4 - z. Suppose f = 6*f - 15, k - 5*f = -3. Calculate the remainder when k is divided by o.
0
Let b(f) = -27*f**2 - 6*f - 9. Let v be b(-2). Calculate the remainder when v/(-70)*4*83 is divided by 50.
48
Suppose -5*j + 6*j + 1 = 2*b, 4*j = b - 18. Calculate the remainder when 700 is divided by (45/b)/((-245)/588).
52
Let q be 1 - 356/10 - (-40)/(-100). Let n = 90 + q. What is the remainder when 384 is divided by n?
54
What is the remainder when 205 is divided by 35/2 + (-45)/(-30)?
15
Suppose 2*z - 29 - 11 = 0. Suppose -d - 6 = i - 35, -712*d = -714*d + 30. Calculate the remainder when z is divided by i.
6
Let b(v) = v**2 + 2*v. Let m(k) = 10*k + 312. Let s be m(44). Let r = s - 739. Calculate the remainder when r is divided by b(-4).
5
Suppose -d = -6*r + 3499 + 7812, 0 = r - 4*d - 1866. What is the remainder when r is divided by 16?
14
Let c be -3*(-15)/(-10)*(-16)/24. Let v(k) = -5*k + 6. Let i be v(-7). Suppose c*s = -32 + i. Calculate the remainder when 3 is divided by s.
0
Let i = -137 + 97. What is the remainder when (1753/4 + 10/i)*1 is divided by 40?
38
Let u(z) be the first derivative of z**3/3 - 16*z**2 + 211*z + 161. Calculate the remainder when 88 is divided by u(8).
12
Let x(y) = -y**3 - 18*y**2 - 86*y - 11. What is the remainder when x(-6) is divided by (-4)/(-12)*-2*-39?
21
Let r be 21/126 + (-551)/(-6). Suppose 96*l - r*l = 148. Calculate the remainder when l is divided by 13.
11
Calculate the remainder when 32 is divided by (-1496)/(-77) - 20 - (207/(-7) + 1).
4
Let s(g) = g**2 - 3*g + 3. Let i = -828 + 1106. Calculate the remainder when 0 + 45/36 + i/8 is divided by s(5).
10
Let u = 3616 - 3486. Calculate the remainder when 691 is divided by u.
41
Let h be (-9)/(9/(-2)) - 487*-2. Let n be 3 + -3 - 0 - h/(-2). Suppose -190 = -2*f - 4*l, 5*f - 2*l - n = l. Calculate the remainder when f is divided by 25.
22
Suppose 3*m + 778 = 5*k, 5*k - 280*m = -276*m + 779. What is the remainder when 308 is divided by k?
153
Let t be 21*10*(-2)/(-4). Let z = 143 - t. What is the remainder when z is divided by 8?
6
Let s(b) = -6*b - 4. Let m be s(-6). Let y = -1752 - -1782. Suppose -y*h = -m*h + 22. Calculate the remainder when 23 is divided by h.
1
Let j = 224 + -144. What is the remainder when 4 - (8/(-24) - (-2842)/(-6)) is divided by j?
78
Suppose 0 = -5*i + 4*i + 5*t + 1, -i + 3*t + 7 = 0. Suppose -6*g - 4 = -i. What is the remainder when (429/(-12) + g)*(-72)/27 is divided by 16?
10
Let r(j) = j**3 - 6*j**2 - 6*j - 2. Let c be r(7). Suppose 4*k - 815 = c*m, -5*m + 415 = -9*k + 11*k. Calculate the remainder when k is divided by 14.
9
Let h be (-5498)/6 - (96/(-18) + 6). Let o = h + 1316. What is the remainder when o is divided by 40?
39
Let h(p) = p**3 + 6*p**2 - 20*p - 4. Suppose 3 = a - 2*b + 1, 5*a + 45 = -b. What is the remainder when h(a) is divided by 19?
9
Suppose 4*k + 75 = v, -2*k = -1244*v + 1248*v - 192. What is the remainder when 1733 is divided by v?
50
Let l(u) = -12*u + 74. Let g be l(6). Suppose -2*v - g*v - 60 = -4*f, -5*v - 35 = -f. What is the remainder when 143 is divided by f?
3
Suppose 3*j - u - 1 - 25 = 0, -3*u = -2*j + 15. Suppose -j*s = -64 - 80. Calculate the remainder when 71 is divided by s.
7
Suppose 0*w = -4*w + 92. Suppose -4*v = -13*v + 1224. Let z = v - 52. What is the remainder when z is divided by w?
15
Suppose -5*l + 87 = -2*l. What is the remainder when 24/10*((-1498)/(-28) + -6) is divided by l?
27
Suppose 2*p + 5*r = 3*p + 26, 0 = p + 2*r - 2. What is the remainder when 76 is divided by 9 + 0 + p/(-9)*3?
10
Suppose 11*s = -4*i + 146, -3*i + s + 66 = 2*s. Suppose 105 = 3*w + 2*w. Calculate the remainder when w is divided by i.
1
Let h = -1081 - -1084. What is the remainder when 16 is divided by h?
1
Let t = -1037 - -1231. What is the remainder when t is divided by 27?
5
Let s = 22661 - 22619. What is the remainder when 707 is divided by s?
35
Let a = 17232 - 17126. Calculate the remainder when 1807 is divided by a.
5
Let g be ((45/(-10))/(-3))/(3/4). Suppose g*b + 0 = 14. What is the remainder when 20 is divided by b?
6
Suppose 18071 = 5*d + 4*q, 2*q + 7458 - 244 = 2*d. What is the remainder when d is divided by 13?
10
Suppose 0 = 5*o - 113 - 12. Let r(b) = 126*b**2 + 51*b - 53. Calculate the remainder when r(1) is divided by o.
24
Suppose 1258 + 4629 = 29*q. Calculate the remainder when 640 is divided by q.
31
Let i(a) = 2*a**3 + 35*a**2 - 25*a - 44. What is the remainder when i(-18) is divided by 34?
14
What is the remainder when 6/1*36 + -4 is divided by (-6)/(-5)*180/18?
8
Suppose 7023 = 3761*z - 3723*z - 11749. Let x = 5 + 50. What is the remainder when z is divided by x?
54
Calculate the remainder when 2293 is divided by ((-51)/(-2))/(0 + 9/6).
15
Calculate the remainder when 34 is divided by 24 - 25/((-225)/72).
2
Let x = 26 + -6. Let h = 25 - x. Suppose -2*a = h*n + 2*a - 58, -2*a = -4. What is the remainder when 19 is divided by n?
9
Let i(z) = -42*z - 914. Calculate the remainder when 271 is divided by i(-23).
11
What is the remainder when 224 is divided by (-1365)/(-130)*(-120)/(-21)?
44
What is the remainder when (-2565)/(-38) + -5*7/(-70) is divided by 24?
20
Suppose w + 1 = -0*q + 3*q, -5*w + 59 = q. Suppose 423*r = 2*r + 314487. What is the remainder when r is divided by w?
10
Suppose q + 208 = 504. Let l = -29 + q. Suppose 3*w - 2*m = l, 3*w + 3*m - 231 = 21. Calculate the remainder when w is divided by 30.
27
Let x = 5 + 101. Suppose -2*i - 5*s + 65 = 0, x = 6*i - 2*i + 2*s. What is the remainder when 224 is divided by i?
24
Suppose 39*k - 11648 = -169*k. Calculate the remainder when k is divided by 17.
5
Let d(x) = -x**2 - 18*x + 723. Calculate the remainder when d(19) is divided by 5.
0
Let f = -46 + 810. Suppose 5*r + 2*h = 14 + f, 12 = 3*h. Suppose 3*i + 53 = 170. What is the remainder when r is divided by i?
