/24)/(1/(-6)). Let f = 23 + o. What is the remainder when ((-132)/(f + 2))/(-2) is divided by 8?
6
Let f(n) = 14*n + 173. Let m be f(-13). Let v(w) = -w**3 - 6*w**2 - 15*w - 14. Calculate the remainder when v(m) is divided by 5.
4
What is the remainder when 229/((9 - 115/10) + 3) is divided by 450?
8
Suppose -11*j = -8*j + 21. Let q = -358 - -410. What is the remainder when q is divided by -2*j*(-4)/(-4)?
10
Suppose -184*h + 182*h + 3*a = -486, -2*h + 488 = -2*a. What is the remainder when h is divided by 88?
70
Suppose p + 105 = 4*p. Let v(a) = 7*a - 93. Let f be (-38)/209 - 334/(-22). Calculate the remainder when p is divided by v(f).
11
Let l = 17926 + -16962. Calculate the remainder when l is divided by 75.
64
Let r(c) = -16*c**3 - 55*c**2 - 112*c - 8. Calculate the remainder when r(-2) is divided by 35.
19
Let z = 86 - 86. Suppose 5*s - 4*f = s + 584, z = -4*s + 5*f + 581. Calculate the remainder when s is divided by 39.
32
Let i = 6330 - 6186. What is the remainder when 548 is divided by i?
116
Suppose -65*b - 34 = -66*b - q, 5*b - 3*q = 210. What is the remainder when 171 is divided by b?
15
Let f be ((-2)/(-16) - (-4569)/(-8))/(-1). Let g = f + -539. Calculate the remainder when 103 is divided by g.
7
Let b = -5365 - -5391. What is the remainder when 2651 is divided by b?
25
Let f = -1019 - -1027. What is the remainder when 21 + 3*2/(-2) is divided by f?
2
Suppose 3*s - 971 = 21*c - 19*c, 3*s - 978 = 3*c. Calculate the remainder when s is divided by 13.
7
Let t(g) = -7*g - 41. Let n be t(-13). Suppose -p - 4*p - 40 = 4*f, 5*f + n = 5*p. Calculate the remainder when ((-1653)/(-95))/(2/f*-1) is divided by 18.
15
Suppose 22 - 25 = -w. Suppose 22 = 2*a - w*j, -21 = -4*a - 3*j + 59. Calculate the remainder when 81 is divided by a.
13
Let j(t) = t**3 - 18*t**2 + 31*t + 2. Let u be j(17). Suppose -3*k + 171 + 13 = -2*n, 4*n + u = 4*k. What is the remainder when 253 is divided by k?
61
Suppose -562*f + 86*f + 17398 = -13066. Let d(v) be the third derivative of -v**4/8 - v**3/3 - 2*v**2. Calculate the remainder when f is divided by d(-5).
12
Let v = 92 + -66. Suppose 4*j + 495 = 5*m - j, 5*m + 2*j = 516. Let k = 205 - m. Calculate the remainder when k is divided by v.
25
Suppose 219 = 184*f - 2304 - 973. Calculate the remainder when 16737 is divided by f.
17
Let m(u) = 88*u**2 + 1181*u + 20. What is the remainder when m(-17) is divided by 24?
23
Let u(n) = -3*n + 1. Let d(m) = -17*m + 64. Let o(a) = -d(a) - 2*u(a). Suppose 3*l - 7*l = -28. What is the remainder when o(l) is divided by 16?
15
Let q(s) = s**3 + 27*s**2 + 92*s + 97. What is the remainder when 685 is divided by q(-23)?
6
Let h = -3926 - -3951. What is the remainder when 698 is divided by h?
23
Suppose 3*o + 4*o = 2 + 397. What is the remainder when 904 is divided by o?
49
Let w(a) = -a**2 - 16*a - 4. Let b be w(-8). Suppose 1530*y + b = 1535*y. Let q = -37 - -56. What is the remainder when q is divided by y?
7
Let z(u) = u**3 - 6*u**2 - u. Suppose h + 7 = 2*h + 2*w, 3*h + 4*w = 21. What is the remainder when 207 is divided by z(h)?
39
What is the remainder when 14/133 - (3 + (-31684)/76) is divided by 115?
69
Suppose 4908 + 3458 = 86*t + 2518. Calculate the remainder when 3873 is divided by t.
65
Let j(v) = v**3 + 20*v**2 - 2*v - 31. Let p be j(-20). Let g(l) = -92*l + 2. What is the remainder when g(-1) is divided by 676*p/126 - (-4)/(-14)?
46
Suppose 590 = 7*o - 2*o. Suppose -19642 = -505*h + 2019 - 2471. What is the remainder when o is divided by h?
4
Suppose -130*d + 1425 = -111*d. What is the remainder when d is divided by 56?
19
Suppose 159 = -5*a - 196. Let q = 145 + a. What is the remainder when 293 is divided by q?
71
Suppose -3*o + 3*v = -5*o + 3, -3*o = -v - 10. What is the remainder when (456/(-28))/(o/(-21)) is divided by 39?
36
Let a(u) = -2*u**2 - 138*u - 1877. Calculate the remainder when 606 is divided by a(-22).
33
Suppose 0 = 2*w + 3*m + 150 - 175, 0 = -3*w - 3*m + 30. Suppose 0 = 5*n + 5, 8 - 1 = 2*x + n. Calculate the remainder when w is divided by x.
1
Suppose 77*p - 5*p = 4032. What is the remainder when p is divided by 23?
10
Suppose -q + s = -3*q + 37, -5*s = -2*q + 19. What is the remainder when (-24)/(-432)*-9*8*(-66)/4 is divided by q?
15
Let o(i) = -2*i**2 + 11*i - 42. Let j be o(7). Let f = j + 108. Suppose 5*k - 4*y = 81, 0 = -2*k + 2*y - 13 + f. What is the remainder when 84 is divided by k?
16
Let q(m) = 23*m + 351. Let l = -847 - -832. What is the remainder when 169 is divided by q(l)?
1
Let p(a) = a**3 + 2*a**2 - a + 2. Calculate the remainder when p(2) is divided by (172/20 + -5)/((-6)/(-15)).
7
Let t = -116 + 251. Let d = -103 + t. Calculate the remainder when 119 is divided by d.
23
Suppose -3*k + 2*r = -61 - 33, 0 = -2*k - 3*r + 54. What is the remainder when 3059 is divided by k?
29
Let a(b) = -3*b**3 - 11*b**2 - 20*b - 32. Let q be 391/(-69) - ((-12)/(-9) - 1). Calculate the remainder when a(q) is divided by 11.
10
Suppose 0 = -4*b + r + 43964, -20*r = 2*b - 22*r - 21970. What is the remainder when b is divided by 5?
3
Calculate the remainder when 659 is divided by (-15 - -13)*-84*(7 - 6).
155
What is the remainder when ((-1590)/12 - 2)*(-4 - 4/(-2)) is divided by 246?
23
Let d(p) = 36*p**2 - 2881*p + 94. Calculate the remainder when 1534 is divided by d(80).
8
Let o be -2 + (-2)/(-12)*3*8. Suppose m - 3*t - 33 - 6 = 0, 3*t - 12 = 0. Suppose 7*s + o - m = 0. Calculate the remainder when 20 is divided by s.
6
Let a(p) be the second derivative of p**5/20 - 8*p**4/3 - 67*p**3/6 - 7*p**2/2 - p + 6. Calculate the remainder when a(34) is divided by 8.
3
Let y(p) = p**2 - p - 7. Let d(b) = 393*b + 9123. What is the remainder when d(-23) is divided by y(6)?
15
Let w(a) = -13*a**2 + 2*a - 27. Let m be w(3). Let x = 244 + m. What is the remainder when x is divided by 37?
32
Suppose 0 = 22*g + 131 - 417. Calculate the remainder when 278 is divided by g.
5
Suppose 12*v = 15*v - 129. Let w be 50*(27/(-6))/((-45)/12). Let k = 71 - w. What is the remainder when v is divided by k?
10
Let h = 2182 + -1898. What is the remainder when h is divided by 58?
52
Let n = 8519 - 8474. Suppose 8*m - 155 = 3*m. Suppose 5*a + 18 = -j + 55, -5*j = 3*a - m. Calculate the remainder when n is divided by a.
3
Suppose 3*d = -13*k + 15*k + 1621, 5*d - 2727 = -3*k. Let m = -471 + d. Calculate the remainder when 194 is divided by m.
50
Suppose 4*m + 6*j - 5*j + 1037 = 0, -4*m - 4*j - 1040 = 0. Let a = m + 438. What is the remainder when a is divided by 30?
29
What is the remainder when 6048 is divided by (-15)/(-10)*1320/90?
20
Suppose -231*g = -237*g + 36. Suppose g*n + 4*n = 350. What is the remainder when n is divided by 13?
9
Suppose -3*b + 5*s = -1674, s - 550 = -2*b + b. What is the remainder when 104 is divided by 1/(-3) - b/(-21)?
0
Let x = -7049 - -10484. Calculate the remainder when x is divided by 86.
81
Suppose -o + 12 = 2*r, -11*r = -3*o - 14*r + 27. Calculate the remainder when 375 is divided by o.
3
Let q(w) = -3*w + 2. Let d = 168 + -157. Suppose -d + 73 = 2*x. Calculate the remainder when x is divided by q(-5).
14
Suppose 9*c = -0*c - 3*c + 396. Calculate the remainder when 214 is divided by c.
16
Let u = 294 + -275. Suppose 0 = -8*q + u*q - 110. What is the remainder when 1/9*3*93 is divided by q?
1
What is the remainder when (-18*(93/(-45) + 2))/((-9)/(-2910)) is divided by 36?
28
Let u = -8384 - -9046. What is the remainder when 1331 is divided by u?
7
Let b = 22 - 43. Calculate the remainder when 42 is divided by (8 - 6) + (0 - b).
19
Let v be ((-4)/12 - -2)/(1/6). Suppose -2*s + v = -2. What is the remainder when 34 is divided by 9/(-5)*(-40)/s?
10
Suppose -h - 99 = -302. Let w = 5690 - 5676. What is the remainder when 6/(-9) + h/3 is divided by w?
11
Let f be 12/10 + (-3)/15. Let r(j) = 86*j - 1. Calculate the remainder when r(f) is divided by -19 + 7208/176 - 3/(-66).
19
Suppose -143*l + 2310 = 4*y - 142*l, -3*l = -y + 584. What is the remainder when y is divided by 12?
2
Let m be 1*(2 - (2 + 0)). Let w(z) = -z + 2. Let b(q) = -3*q + 95. Let h(t) = b(t) - w(t). What is the remainder when h(m) is divided by 48?
45
Let a(c) = -31*c - 133. Let i be a(-5). Suppose i*v = 795 + 481. Calculate the remainder when 405 is divided by v.
57
Suppose 3*u + 182 = 4