the remainder when 88 is divided by w(b)?
43
Suppose 21*q + 27694 = 200*q - 2020. What is the remainder when 947 is divided by q?
117
Let h(o) = o**3 + 10*o**2 - 43*o + 4. Let d = 97 - 110. Let w(y) = y**2 - 2*y + 5. Calculate the remainder when h(d) is divided by w(6).
27
Suppose 3*f - 3*j - 195 = 0, 261 = 4*f - 0*f - 5*j. Suppose -176 = -n + 13. Calculate the remainder when n is divided by f.
61
Let q = -126 + 434. Let b = q - 197. Suppose -60*s - 45 + 352 = -1373. What is the remainder when b is divided by s?
27
Suppose 10909 = 4*s + 3*r, 2*r + 13619 = -50*s + 55*s. Calculate the remainder when s is divided by 11.
8
Suppose -5*w + f + 184 = -7*w, -5*w - 453 = -f. Let x = w + 131. Calculate the remainder when x is divided by 11.
7
Suppose -g = p - 1984, 12*g = 5*p + 10*g - 9906. Calculate the remainder when p is divided by 197.
12
Suppose 240*w - 47*w = -415*w + 6080. What is the remainder when 4/2 + -2 - -67 is divided by w?
7
Let j(q) = 4*q**2 + 4*q + 268. Calculate the remainder when j(30) is divided by 10.
8
Let d be -5*(-5)/50*-8. What is the remainder when 3 - (d/10 - (-98)/(-5)) is divided by 12?
11
Let k(z) = 2*z**3 - 54*z**2 - 7*z + 214. What is the remainder when 548 is divided by k(27)?
23
Let l = -197 + 309. Let f be (-2)/14 - (-16)/l. What is the remainder when 31 is divided by 3*(f + 3 + 0)?
4
Let g(n) = -10*n + 7. Suppose 0 = -c - v + 18, -66 = -5*c + 9*v - 6*v. What is the remainder when g(-5) is divided by c?
12
Let q(j) = 2*j**3 - 29*j - 1. Let z(u) = 3*u**3 - 44*u - 2. Let l(b) = -8*q(b) + 5*z(b). What is the remainder when l(3) is divided by 7?
0
Let v(p) = -2*p**3 - 202*p**2 - 591*p + 24. Let i = 252 + -159. Calculate the remainder when i is divided by v(-3).
27
Let o = -6184 + 6258. What is the remainder when o is divided by 26?
22
Let j = 9 + 34. Calculate the remainder when 134 is divided by j.
5
Let n = -40 + 682. Suppose 4*i + 3*d = 488 + n, 5*i + d = 1418. What is the remainder when i is divided by 41?
38
Suppose 5*b + 4*k - 119 = 0, 5*b - 101*k = -97*k + 71. Let s = -395 - -716. Calculate the remainder when s is divided by b.
17
Let j(b) = b**2 - 7*b + 7. Let d be j(2). Let c(v) = 0*v - 4*v + 0*v. Calculate the remainder when 58 is divided by c(d).
10
Let c = 326 + -289. What is the remainder when 168/(-40)*(-75)/3 is divided by c?
31
Let k = -40462 + 46087. Calculate the remainder when k is divided by 97.
96
Let h = -29235 - -29251. What is the remainder when 28701 is divided by h?
13
Let y(q) = q**2 + 13*q + 51. Let d be y(-10). Suppose -d*l = -24*l + 165. Calculate the remainder when 108 is divided by l.
53
Let f be (-8)/(-2) + (7/7 - 48/4). Let y(b) = -2*b - 12. Let h(c) = -1. Let j(v) = -10*h(v) + 2*y(v). Calculate the remainder when 139 is divided by j(f).
13
Let c = 770 + 13. Let t = c - 779. Calculate the remainder when 41 is divided by t.
1
Let t(a) = 25 - a**2 - a**3 - 12 + 3*a**2 + a. What is the remainder when (-5 - 34/8)/((-2)/16) is divided by t(0)?
9
Let n be ((-2)/2)/1*(-13 + 9). Suppose -486 = -n*i + 5*g - 2*g, 4*g + 488 = 4*i. Suppose -12*s + 4*s = -i. What is the remainder when s is divided by 10?
5
Suppose -33*l + 24*l = -3429. Let h = l - 268. What is the remainder when h is divided by 39?
35
Suppose -184*p = 1309 - 21181. Suppose -4*i + 2*i = -74. Calculate the remainder when p is divided by i.
34
Let t be ((-52)/(-6))/(40/(-21) - -2). Suppose t*y - 35 = 86*y. Suppose -d - 204 = -y*d. What is the remainder when d is divided by 18?
16
Let h(u) = u**3 + 2*u**2 - 23*u + 6. Let b be h(-6). Suppose 6*s + 3*s - 783 = b. Calculate the remainder when s is divided by 7.
3
Suppose 8*k + 106 = -62. What is the remainder when 343 is divided by 86/(7/k*-6)?
42
Suppose k + 4 = 8. Suppose -2 + 9 = n + m, n - k*m = -18. Suppose 0 = 4*d + n*c - 78, -5*d + 105 = 2*c - c. Calculate the remainder when 85 is divided by d.
19
Let u(x) = 161*x**2 - 3*x - 3. Let h = 996 + -942. What is the remainder when u(-1) is divided by h?
53
What is the remainder when (27 - 2618/98) + 3/21*1097 is divided by 27?
22
Suppose -7*c + 2*c = -55. Calculate the remainder when ((-50)/(-24))/(1563/337608) is divided by c.
10
Let g = 2020 - 2016. Suppose 7 + 3 = 5*i. Suppose 0 = -g*n + 4*q + 76, 5*q = i*n + n - 67. What is the remainder when 39 is divided by n?
11
Suppose 0 = 2*s - s - 2, 0 = -o - 4*s + 43. Let k be (3/(-2))/((-11)/(-396)). Let z = k - -191. Calculate the remainder when z is divided by o.
32
Let j(a) = 22*a**2 + 19*a - 119. Calculate the remainder when j(13) is divided by 50.
46
Let c = 57 + -41. Suppose 5*n = 3*t + 7*n + 2, -3*t + 3*n + 18 = 0. Let y(x) = 7*x**3 - 4*x**2 + 5*x - 5. What is the remainder when y(t) is divided by c?
13
Suppose 0 = -0*i - 2*i + i. Suppose 0 = 4*c - 4*y - 52, 4*c + 2*y - 47 = y. What is the remainder when ((-15)/(-5) - i) + 80 is divided by c?
11
Suppose 165235 = -49*n - 51*n + 107*n. Calculate the remainder when n is divided by 129.
127
Let x = 62 + -55. Let i(f) = f**3 - 8*f**2 + 10*f - 20. Let o(b) = b**2 + 3*b + 2. Calculate the remainder when o(-4) is divided by i(x).
0
Suppose -2*o + 3*b = -9, o + 5 - 2 = 3*b. Suppose -104*l = -73*l - 10416. Let d = l + -302. Calculate the remainder when d is divided by o.
10
Let n(z) = 67*z**2. Suppose -47 = -5*h + 4*k, 3*k + 91 = -3*h + 103. What is the remainder when n(-1) is divided by h?
4
Calculate the remainder when 5/((-75)/195) + 414 is divided by 4.
1
Let x(v) be the first derivative of -75*v**4/4 + v**3/3 - v + 41. Calculate the remainder when x(-1) is divided by 16.
11
Let j be (-20)/(-8)*(1 + 1). Let s = 62 + j. Let l(x) = x + 24. Calculate the remainder when s is divided by l(-7).
16
Let s be 1190 + -1 - (-1 - -5). Suppose 0 = -9*l + 12*l - s. Suppose 4*b + 135 = l. What is the remainder when b is divided by 11?
10
Let a(g) = -1. Let u(h) = 47*h + 14. Let k(w) = 3*a(w) - u(w). Let y be k(-5). Suppose y = 12*b + 2. What is the remainder when b is divided by 4?
2
Calculate the remainder when 842 - (-7)/((-56)/24) is divided by 32.
7
Suppose 4*c - 5*t - 10 = -3, 3*t + 3 = 2*c. Let f(b) = 3*b + 3. What is the remainder when 7/((6/c)/10) is divided by f(5)?
17
What is the remainder when 1153 is divided by (-9)/(9/2) - -6 - (-462)/21?
9
Let l = -58 + 983. What is the remainder when l is divided by 300?
25
Let b(z) = 22*z**2 + 4*z + 3. Let k be (-2)/(-5) + (-4824)/(-15). What is the remainder when b(-2) is divided by (-6)/3*k/(-28)?
14
Suppose -4*m = 5*c - 419, c - 24 - 60 = -m. Suppose -y + 21 + c = 5*b, -68 = -3*b - 2*y. What is the remainder when 76 is divided by b?
16
Let t = -7239 - -7250. What is the remainder when 2507 is divided by t?
10
Let v = -5 - -25. Let x(w) = -w**2 + 16*w + 23. Let r be x(17). What is the remainder when -165*(34/r + -6) is divided by v?
15
Suppose -4*o - 3*i = -1745, o = 33*i - 34*i + 435. Calculate the remainder when o is divided by 49.
48
Suppose -4*s - 66 = -2*t, 0*s = -4*t + 3*s + 147. Suppose -126 = 6*k - 9*k. Let r = k - 22. Calculate the remainder when t is divided by r.
19
Let q = -88 - -8. Let h be -1 - (4 - q/(-4)). Calculate the remainder when 29 is divided by (h/(-10) + 2)*22.
7
Let z(x) = 6*x**2 + 5*x - 216. Calculate the remainder when z(7) is divided by 74.
39
Suppose 24 - 587 - 637 = -16*n. What is the remainder when n is divided by 69?
6
Suppose -8*k + 18 = -14. Suppose -3*q = k*y - 223 - 40, -2*y = -2*q + 194. Calculate the remainder when q is divided by 51.
42
Let a(o) = 4*o**2 - 18*o + 14. Let h be a(10). Let k = 239 - h. Calculate the remainder when 6 is divided by k.
1
Let v = -130 - -187. Let y be -2 + (6 - 5) + 0. What is the remainder when v is divided by 5/3*(y + 19 - 0)?
27
Suppose 63 = 4*c - 65. Let p = -22 + c. Let w(v) = v**3 - 10*v**2 + 3*v - 4. What is the remainder when 128 is divided by w(p)?
24
Calculate the remainder when 463 is divided by (-32)/24 + (-155)/(-15) + 1.
3
Suppose -5*p - 8*f + 6738 = 0, -5*p = 11*f - 13*f - 6728. What is the remainder when p is divided by 226?
216
Let s = -3248 - -3280. What is the remainder when 102 is divided by s?
6
Let f(x) = 5*x**3 - 3*x**2 - 3*x - 2. Let a = 6 - 3. Suppose 315 + 10 = 13*s. Calculate the remainder when f(a) is divided by s.
22
Let t = 3201 - 2881. Calculate the remainder when t is divided by 8.
0
Let f(v) = 56*v - 2137. C