uppose 3*b = 7*b, 3*q - 2*b - 6 = 0. Let o(i) = 35*i - 20. Calculate the remainder when 197 is divided by o(q).
47
Suppose 4*a - 9*a = -330. Calculate the remainder when (9212/147)/(-1 + 8/6) is divided by a.
56
What is the remainder when (-8)/(-124) + 20/(4340/176841) is divided by 166?
151
Let k = -128 - -128. Let x be k + -1 + 4 + 25. Suppose -3*w + 72 = 3*q, -q - 4*w - 4 + x = 0. Calculate the remainder when q is divided by 9.
6
Let f(j) = 7*j**2 - 14*j + 79. Let p be f(5). Let k = p + -51. Calculate the remainder when k is divided by 17.
14
Let t(w) be the second derivative of -2/3*w**3 - 10*w + 0 + 1/12*w**4 - 2*w**2. Calculate the remainder when t(8) is divided by 12.
4
Let d = 0 - -14. Let g(x) = x**2 - 45*x + 256. Calculate the remainder when g(41) is divided by d.
8
Let h = 421 + -381. What is the remainder when 106 is divided by 8/(-10) - (-2392)/h?
47
What is the remainder when 675/(-405) - 5362/(-6) is divided by 16?
12
Let c(k) = -57*k + 57. Let y be c(5). Calculate the remainder when (-19532)/y - 1/(-3) is divided by 8.
6
Calculate the remainder when (-2 - -7)/(3 - 2) - -1025 is divided by 52.
42
Let k(f) = 5*f**2 - 27*f - 16. Let u be k(6). Suppose -u*w - 11 = -n + 4, -n = -3*w - 20. Calculate the remainder when n is divided by 2.
1
Suppose -3 = n + g, 2*g = n + 1367 - 1379. Calculate the remainder when 231 is divided by n.
1
Suppose -5*b - 20 = -2*q - 8*b, 0 = -q + 3*b + 28. Suppose 114 = 3*f - 606. Suppose -5*v + f = -140. Calculate the remainder when v is divided by q.
12
Let i = -1042 + 1078. What is the remainder when i is divided by 25?
11
Suppose 0 = y - 90 - 17. Let x = -2457 - -2496. What is the remainder when y is divided by x?
29
Let q(o) = -6*o + 31. Let s be q(26). Let v = 273 + s. Calculate the remainder when v is divided by 8.
4
What is the remainder when 1089 is divided by (1070/6)/(1020/(-45) - -23)?
19
Let p be (-7 - -14) + (-3)/1. Suppose -v + 9 = -p. Let c = v + 21. What is the remainder when c is divided by 12?
10
Suppose 3*c = -2*w - 302, 5*w + 3*c + 411 + 353 = 0. Let o = w + 168. Suppose 89 + 59 = 4*a. Calculate the remainder when a is divided by o.
9
Let p = 68 - 48. Suppose p*v - 8784 = 16*v. What is the remainder when -2*(v/8)/(-9) is divided by 21?
19
Suppose 71*w - 2121 + 137 - 501 = 0. Calculate the remainder when 2 + (-1)/((-1)/172) is divided by w.
34
Let f = -187 - -276. Let t be 1*5 - (-3 + 4)/(-1). Suppose t*m = -142 + 250. What is the remainder when f is divided by m?
17
Suppose 3*w = 2*q - 27, 0 = -w - 3*w - 2*q - 22. Let x be 2/w + (-1146)/(-42). Let d = x + -5. Calculate the remainder when 86 is divided by d.
20
Suppose 4*x + 4*v - v = 5, -2*x = 3*v - 1. Suppose -6*a = -11*a + x*s + 640, s - 5 = 0. Calculate the remainder when a is divided by 44.
42
Suppose -2*b + 85 + 35 = 0. Suppose p = -3*c + b, -2*p + 2*c = -2*c - 140. Calculate the remainder when p is divided by 23.
20
Let q = -590 - -691. Calculate the remainder when 114 is divided by q.
13
Let g(z) = 2*z**2 + 18*z - 6. Let b be g(5). Suppose -139*f + b*f = -25. What is the remainder when ((-60)/(-25))/(1/5) is divided by f?
2
Calculate the remainder when (1437/(-5))/((-604)/(-755) - (-9)/(-10)) is divided by 115.
114
Let o(m) = -m**3 + 16*m**2 - 12*m + 83. Let r = -742 + 776. Calculate the remainder when o(15) is divided by r.
26
Let f(x) = -x**2 + 525*x - 6640. Let a be 1/(-2) + 10/4. Suppose 147 = a*h - 233. What is the remainder when h is divided by f(13)?
14
Suppose 37*v = -17*v + 72*v - 936. What is the remainder when 1186 is divided by v?
42
Suppose 248*c = 259*c - 130383. What is the remainder when c is divided by 48?
45
Calculate the remainder when 233 is divided by (-6)/(-8) + (-15 - 7449/(-52)).
104
Let x(a) = -a**2 - 6*a + 117. Suppose -91 = 9*f - 2*f. Suppose 0 = l - n + 5*n - 6, 2*l = -3*n + 12. Calculate the remainder when x(f) is divided by l.
2
Let s be 0 + -1 - 4*2596/16. Let f be (-4)/(s/(-165) - 4). Suppose m = 4*o - 4*m - 46, -5*o = -2*m - f. What is the remainder when 52 is divided by o?
10
Suppose 13*v = 8*v + 5*k + 265, -2*v + 3*k + 103 = 0. What is the remainder when 79 is divided by v?
23
Suppose -5*t = -4*u - 250, -2*t = u - 2*u - 100. Let j(h) = -49*h - 250. What is the remainder when j(-7) is divided by t?
43
Let v = 2900 + -2468. Calculate the remainder when v is divided by 88.
80
Let a(m) = 4790*m - 14226. Suppose -4*r - 178 = 94. Let d = r + 98. Calculate the remainder when a(3) is divided by d.
24
Suppose 4*n + 2 = -2*z, -2*z = -4*n - z + 13. Let h(p) = -8*p**2 + p + 5*p**2 + 11*p**n. What is the remainder when h(1) is divided by 2?
1
Let p(h) = h**3 + 6*h**2 - 5*h + 9. Let d be p(4). Let o = d - 34. Calculate the remainder when o is divided by 40.
35
Let a = 208 + -168. Let f = 114 - 49. Suppose 5*u - f = 5. What is the remainder when a is divided by u?
12
Suppose u + 3*i = -21, -5*i + i - 26 = u. Let o = -31301 + 31322. Calculate the remainder when 2/3 - 182/u is divided by o.
10
Suppose 127*o + 3*o = 5*o + 19750. What is the remainder when o is divided by 152?
6
Let x be 26/(-10) - -6 - 6/15. Suppose -182 = -5*y - x*u, u + 0*u + 112 = 3*y. What is the remainder when 110 is divided by y?
36
Suppose 2223 = -5*g + x, -11*g - 5*x - 900 = -9*g. Let i = g - -486. Calculate the remainder when 128 is divided by i.
5
Let w(l) = l**2 - 24*l + 193. Calculate the remainder when 196 is divided by w(15).
22
Suppose 0 = -3*i + 5*s + 1013 + 515, -1020 = -2*i + 4*s. Let m = 597 - i. Calculate the remainder when m is divided by 11.
3
Suppose -4*r - 5*l = -560, 5*r + l = 236 + 443. Calculate the remainder when 533 is divided by r.
128
Suppose 46*m - 18234 = 5280 + 3856. Calculate the remainder when m is divided by 100.
95
Let w(m) be the second derivative of -m**3/3 + 29*m**2/2 - 15*m + 2. What is the remainder when 170 is divided by w(-8)?
35
Suppose -155 - 144 = -5*f + a, 297 = 5*f - 3*a. Calculate the remainder when 315 is divided by f.
15
Let y(w) = 6*w - 167. Let u be y(28). Let m(h) = h + 21. Calculate the remainder when (u/(-2))/(7/(-1162)) is divided by m(0).
20
Let u be 14/21 - 20/12. What is the remainder when (u - -5)*1362/24 is divided by 11?
7
What is the remainder when 2208 is divided by (-12 - 138/12)*-2?
46
What is the remainder when ((-396)/(-39) - (-16)/(-104))/((-2)/(-849)) is divided by 72?
69
Let u(x) = x**2 - 13 + 4*x + 63 - 3*x - 12*x. What is the remainder when 127 is divided by u(9)?
31
Let a(m) = -4*m**3 + m**2 + 2*m + 3. Let x(y) = -y**3 + 5*y**2 + 5*y - 16. Let k = -77 + 82. What is the remainder when a(-2) is divided by x(k)?
8
Suppose 2*t = -3*t. Suppose t = -10*s + 9*s + 3. Suppose -22 - 3 = -5*l, -s*l = -3*h + 81. Calculate the remainder when 127 is divided by h.
31
Suppose 3*f + 5*j = 20, 2*j - 4 = 4. Suppose f = -3*q - 4*y + 63, 2*q - 21 = q + y. Let w = q + -12. Calculate the remainder when 35 is divided by w.
8
Suppose 62*t = u + 64*t - 88, 4*u + 3*t - 337 = 0. Calculate the remainder when 573 is divided by u.
81
Calculate the remainder when 180 is divided by (30 + 7 + -9)*(-69)/(-92).
12
Suppose -8354 = -41*q + 32359. What is the remainder when q is divided by 329?
6
Let i(t) = 9*t + 31. Let u be i(21). Suppose -12*z + u + 128 = 0. Suppose -z + 11 = -2*o. Calculate the remainder when 17 is divided by o.
8
Suppose -939 = -5*d - 4*k + 811, -k - 1050 = -3*d. Calculate the remainder when d is divided by 79.
34
Suppose 24*j = 20*j + 4. Let i(q) = 2*q - 1. Let p(s) = -5*s + 33. Let a(d) = j*p(d) + 2*i(d). What is the remainder when 27 is divided by a(16)?
12
Suppose -17*c - 1427 = 57*c - 16227. Calculate the remainder when 713 is divided by c.
113
Suppose g + r + 117 = 0, 65 = -g + r - 58. What is the remainder when 218/4 + -18*10/g is divided by (-1)/(1/(-9)) + 1?
6
Let g be ((-6)/(-4))/((-18)/(-456)). Let l = 57 - g. Suppose 8268 = 1725*r - 1569*r. What is the remainder when r is divided by l?
15
Let p(j) = -3 + 3*j**3 + 6*j + 6*j**2 - 4*j**3 - 9*j**2. Calculate the remainder when p(-6) is divided by 7.
6
Suppose 237*w = 48*w - 410*w + 216239. Let h = -110 + 184. What is the remainder when w is divided by h?
65
Let p(n) = -n**3 + 18*n**2 - 21*n + 72. Let q be p(17). What is the remainder when 310 is divided by q/3*(-7 + 212/8)?
24
Suppose 19*o = 20*o + 198. Let h = -152 - o. Let 