= -5*d + 3*m + 8, 0 = 4*d - 4*m - 20. Suppose d = 12*r + 51 + 9. What is the remainder when 0 + 48 - (-15)/r is divided by 17?
11
Let o(a) = -a**3 - 5*a**2 + 4*a - 8. Let b be o(-6). Suppose 0 = 5*x - b*x - 24. Calculate the remainder when 1808/40 - 5/((-8)/(240/(-125))) is divided by x.
20
Suppose 15*g - 102 = 18. What is the remainder when (2/3)/((-76)/57)*-250 is divided by g?
5
What is the remainder when 2 - (458/6)/((-3)/9) is divided by 61?
48
Let c(b) = -5*b - 8. Let x be c(-2). Suppose 64 = 2*w + 4*z, 25 - 77 = -w + x*z. Calculate the remainder when w is divided by 8.
2
Suppose -4*y + 16*q = 11*q - 266, 0 = -3*y + 2*q + 210. What is the remainder when 342 is divided by y?
46
Suppose 0 = 46*n - 877 - 720 - 1209. Calculate the remainder when 7624 is divided by n.
60
Let t(g) = -g**3 - 7 + 0*g**2 + 2*g**2 + 0 + g + 4. Let c be t(2). Calculate the remainder when c/(-6) + 1185/18 is divided by 17.
15
Let s be -3*12/(-9) + (-1 - -1). Let i be 6 + -3 + s + -1. Let x(j) = j**3 - 8*j**2 + 18*j - 18. What is the remainder when 53 is divided by x(i)?
17
Let l = -6297 + 17474. Calculate the remainder when l is divided by 138.
137
Let w(h) = 65*h**2 + 42*h - 24. Calculate the remainder when w(2) is divided by 303.
17
Let a = -269 - -284. What is the remainder when (148/(-10))/((-107)/2140) is divided by a?
11
Let k = 8310 + -8298. Calculate the remainder when 7065 is divided by k.
9
Let c(f) = -6*f + 62. Let p be c(13). What is the remainder when (4/5)/(5/175) is divided by (-1 + 4)/((-3)/p)?
12
Suppose 0 = 37*i - 20039 - 32464. Calculate the remainder when i is divided by 67.
12
Let a(k) = k**3 - 3*k**2 - 4*k - 6. Suppose 3*o - 71 = -4*w + 224, -4*w - 170 = -2*o. Calculate the remainder when o is divided by a(5).
21
Calculate the remainder when 317 is divided by 147 - (-14 + 5 + 10).
25
Let o(a) = -a**2 - 9*a + 6. Let b be o(-7). Suppose -p + 4*d - 1 = 25, -4*d = -12. Let k = p + b. What is the remainder when 21 is divided by k?
3
Suppose -851 = 11*c - 2259. Calculate the remainder when 227 is divided by c.
99
Let i = 123 - 60. Suppose -5*f + 462 = -i. Calculate the remainder when f is divided by 22.
17
Let t be (3 + -33 - 2) + 18/3. Calculate the remainder when 1*13/t - (-361)/2 is divided by 51.
27
Let j be -30*(-4 - (-3 - 0)). Suppose -3*v - m = 48, -2*v + 5*m + 18 - 67 = 0. Let b = v + j. What is the remainder when 37 is divided by b?
11
Suppose -5*m = -3*a + 778, -2*a + 338 = 3*m - 168. Calculate the remainder when a is divided by (-86)/((-6 + -4 - -2) + 6).
41
Let z(n) = 6*n - 24. Let v(d) = d**3 + 9*d**2 - 6*d - 28. Let b be v(-9). What is the remainder when z(b) is divided by 49?
34
Let u(f) be the third derivative of 0 + 0*f + 1/3*f**4 + 7/6*f**3 + 14*f**2 - 1/20*f**5 - 1/120*f**6. Calculate the remainder when u(-5) is divided by 5.
2
Suppose 132 = l - 7*n + 18*n, n + 24 = l. Suppose 0 = -3*x + 4*f + 62, 3 = 5*x + 2*f - 57. Let v = x + -2. Calculate the remainder when l is divided by v.
9
Suppose 3*h - 190 = -4*b, -5*b = 165*h - 164*h - 78. Calculate the remainder when h is divided by 15/(-2)*8/(-6).
8
Let k = -63 + 78. Calculate the remainder when 107 is divided by (4/(8/k))/(8/16).
2
Let t(w) = w**3 + 7*w**2 + 2*w + 12. Let c be ((-42)/12)/(1/2). Let z be t(c). What is the remainder when ((-4)/(-1 - -3))/z + 65 is divided by 17?
15
Let q(s) = -12*s - 129. Let z be 22/8 - (-2)/8. Suppose 0 = z*l + l - 60. Calculate the remainder when q(-15) is divided by l.
6
Let w(y) = 4*y**2 - 3*y - 39. Let j be w(13). Let z = 614 - j. Calculate the remainder when 36 is divided by z.
4
Let d(b) = 6*b - 18. Suppose -4*c - 4*o + 24 = 0, 5*o - 12 = -3*c + c. Calculate the remainder when 608 is divided by d(c).
14
Let w(z) = -z**3 - 21*z**2 - 108*z - 9. Let m = 8 - 10. Calculate the remainder when w(-13) is divided by (-2)/((-2)/(-30)*m).
13
Let k = 0 + 145. Let p = k + -132. What is the remainder when 75 is divided by p?
10
Let s(r) = -r**3 + 59*r**2 - 227*r + 408. What is the remainder when 2474 is divided by s(55)?
13
Suppose 165 = 14*y - 2131. Suppose -139 = -5*o + 81. Calculate the remainder when y is divided by o.
32
Let b = -2229 - -2260. What is the remainder when 143 is divided by b?
19
Suppose -80 = -3*b - h - 28, 32 = b + 4*h. Suppose -4*t - b*t + 1900 = 0. Calculate the remainder when t is divided by 32.
31
Let l = -533 - -640. Suppose 3*v + 5*i - 24 = 39, 4*v - i - l = 0. Calculate the remainder when 46 is divided by v.
20
What is the remainder when 1350 is divided by (36/63)/((6/49)/3)?
6
Let n(j) = -6*j + 5. Suppose -117*t = -124*t - 161. Calculate the remainder when n(t) is divided by 37.
32
Let l(a) = a**3 + 8*a**2 - a - 6. Suppose 40*u = 3*u + 148. Suppose -5 = u*n - 65. Calculate the remainder when l(-5) is divided by n.
14
Let n = 1981 + -1847. What is the remainder when n is divided by 64?
6
Let s(h) = h**2 - 22*h - 19. Let z be s(23). Suppose 0 = z*b - b + 15, -3*b = -2*c + 7. Calculate the remainder when (-8)/c*138/12 is divided by 20.
3
Let l(c) = 2*c**3 + 3*c + 1 + 0*c - 78*c**2 + 79*c**2. What is the remainder when l(3) is divided by 61/366 + -1*(-113)/6?
16
Suppose f - 2*f + 4 = 0. Suppose 5*v + 0*d = 3*d + 52, -3*d = 2*v - f. Let m = 10734 + -10705. Calculate the remainder when m is divided by v.
5
Let w(f) = -26*f - 95 - 37*f + 20*f. Calculate the remainder when w(-6) is divided by 55.
53
Let u = 10 + -22. Let d = 0 - u. Let x(n) = -20*n - 793. What is the remainder when x(-42) is divided by d?
11
Let b = 28 - 25. Suppose 0 = -4*v - b*v. Suppose -d - 8*d + 117 = v. Calculate the remainder when 36 is divided by d.
10
Suppose 0*q - 5*q = -10. Suppose 0*g + 16 = q*g. Calculate the remainder when 2/(-10) + (-4984)/(-70) is divided by g.
7
Let z = -33 - -33. Suppose h = -3*w - 8, h = -z*h + 4*w + 27. Suppose -45 = -3*i - r, 2*i - h*r = -2*r + 30. Calculate the remainder when 58 is divided by i.
13
Let c(q) = -14*q + 438. What is the remainder when c(6) is divided by 178?
176
Let c = 29 + 13. Suppose 529 - 484 = 9*j. Calculate the remainder when c is divided by j.
2
Suppose 638*l = -205600 + 585848. Let d = 46 + 0. What is the remainder when l is divided by d?
44
Let y(p) = p**2 + 12*p - 54. Let l be y(-23). Let d = l + -168. What is the remainder when d is divided by 11?
9
Let r(x) = 41*x**2 + 18*x + 155. What is the remainder when r(7) is divided by 37?
33
Let r be 3 + -5 - -1 - -2. Let s be r/((-15)/(-5808))*(-1 + -4). Calculate the remainder when (-4)/(-16)*-10*s/20 is divided by 35.
32
Suppose 5*s - 1146 = -7*n, 3*n - 4*s = 278 + 207. Calculate the remainder when 630 is divided by n.
141
Let h be (-2)/(-8) - 210/(-56). Suppose -m + h*q = 5*q - 31, -2*m = -3*q - 77. What is the remainder when m is divided by 19?
15
Let w be -43 + 1 + -1 + -1. Let g = -54324 + 54359. What is the remainder when (-27)/(-6)*w/(-3) is divided by g?
31
Suppose -b + 26 = 4*c, -2*c + 16 = 2*b - b. Suppose 0 = t - b. Suppose -t*q + 11*q = 25. What is the remainder when 16 is divided by q?
1
Let l(d) = 12*d - 116. Calculate the remainder when 13143 is divided by l(20).
123
What is the remainder when 6875 is divided by 14 + (14 - 20) + 1 + 3/1?
11
Suppose 44*s + 28*s + 41*s = 8249. What is the remainder when 356 is divided by s?
64
Calculate the remainder when 972/48*92/3 is divided by 17.
9
Suppose -45*x + 19516 = 9*x + 184*x. Calculate the remainder when 4505 is divided by x.
77
Let d = 22274 + -21558. What is the remainder when 2167 is divided by d?
19
Calculate the remainder when 4290 is divided by (3 + -1)*(-4)/(-1*22/33).
6
Let t(q) = q**3 - 19*q**2 + 28*q + 26. Suppose s - 45 = -2*s + 3*h, 5*s + 3*h = 99. What is the remainder when t(s) is divided by 23?
22
Let o be (-47 - -45)/((-2)/6*2). Suppose -2*q - 4*s = 6, 5*q - o*s - 16 = 34. What is the remainder when 17 is divided by q?
3
Let a(t) = t**3 + 30*t**2 - 8*t - 3. Let g be a(-30). Let l = g + -201. Calculate the remainder when 321 is divided by l.
33
Let c = -5 - -8. Suppose 81 = 4*d - 3*w, c*d - 6*w = -9*w + 87. What is the remainder when d is divided by 6?
0
Suppose q - 13 = -3. Let w be 18/(-30) + 446/q. Suppose 0 = 5*m - v - 213, 0 = 3*m - 2*v + w - 169. Calculate the remainder when m is divided by 9.
7
Calculate the remainder when 793 is divided by (56/11)/((-184)/(-7084)).
9
Suppose -4