2*i - p. Suppose i*y = -4*v + 308, -300 = -2*v - 2*v - 2*y. Calculate the remainder when v is divided by 38.
35
Let u(d) = -3*d**2 + 9*d + 12. Let h be u(6). Let s = -29 - h. Suppose -2*w = -z + 11, -12 - 25 = -5*z + 4*w. What is the remainder when s is divided by z?
3
Let c(t) be the second derivative of t**4/12 + 15*t**3/2 + 68*t**2 - t + 20. What is the remainder when c(-43) is divided by 13?
11
Let d(l) = -l**2 - 12*l - 27. Calculate the remainder when -1 + 22/18 + (-878)/(-18) is divided by d(-6).
4
Suppose 61*c = 59*c - 4. Calculate the remainder when 84 - (c/2)/((-10)/(-40)) is divided by 34.
20
Let u(v) = v**2 + 111*v + 2143. Suppose q + 21 = 4*q. Calculate the remainder when u(-24) is divided by q.
6
Let s = -602 + 982. Suppose 14*k = 4*k + s. Calculate the remainder when 188 is divided by k.
36
Let s be ((-4 + 4)/4)/1. Suppose s = -2*k + y + 75, 0 = -3*k + 12*y - 8*y + 120. Calculate the remainder when k is divided by 10.
6
Let o = 230 - 105. Suppose 6*w - 77 = 115. Let k = w - -10. What is the remainder when o is divided by k?
41
Let n(j) = 1037*j + 7300. What is the remainder when 4095 is divided by n(-7)?
36
What is the remainder when 7126 is divided by 12/14*(-1092)/(-104)?
7
Let f = 12016 - 11993. Calculate the remainder when 2523 is divided by f.
16
Let r = -198 + 218. Calculate the remainder when 1*(176/(-55))/((-1)/r) is divided by 17.
13
Suppose -69*x + 72*x = 0. Suppose -103 = -4*k + q, 2*k - 4*q = -x*k + 48. What is the remainder when 51 is divided by k?
25
Let w = 3214 - 3204. What is the remainder when w is divided by -3*(0 + 1) - -13?
0
Let i(p) = 3*p**2 + 10*p - 73. What is the remainder when 2180 is divided by i(6)?
90
Suppose -3*l = 3*u + 26 - 281, 220 = 3*u - 4*l. Suppose 3*t + 289*w - 101 = 285*w, -4*t = -4*w - 144. What is the remainder when u is divided by t?
10
Suppose 1668 = 63*o + 179 - 401. Suppose -2*f + 353 = 3*j, -5*f + 0*j + 2*j + 892 = 0. Calculate the remainder when f is divided by o.
28
Let g = -1156 - -985. Let c = g + 186. Suppose 0 = 4*f + 2*s + 2*s - 20, -4*f + 3*s + 13 = 0. Calculate the remainder when c is divided by f.
3
Let p(y) = -606*y + 5131. Calculate the remainder when p(8) is divided by 177.
106
Let m = 2750 + -2729. Calculate the remainder when m is divided by 19.
2
Suppose 0 = -32*n + 41*n + 765. Let a = n + 100. What is the remainder when 117 is divided by a?
12
Suppose -16288 = -11*y - 349. What is the remainder when y is divided by 33?
30
Let m(v) = 11*v**2 - 2*v - 4. Calculate the remainder when m(3) is divided by 4/(-26) + 25/((-975)/(-708)) + -5.
11
Suppose 0 = 2*x + f - 528, -268 = -3*x + 3*f + 542. Suppose -x = 3*g - o, 5*g = -3*o - o - 449. Let a = 94 + g. Calculate the remainder when a is divided by 2.
1
Let u(f) = -152*f**3 - 4*f**2 - 2*f + 2. Let d be u(-2). Let q = -697 + d. Calculate the remainder when q is divided by 32.
29
Suppose 0 = 2*s - 46 - 8. Suppose -5*i + s = -138. Let f = -18 - -36. What is the remainder when i is divided by f?
15
Suppose -13*v + 7562 - 4884 = 0. What is the remainder when 430 is divided by v?
18
Let k be ((-2)/4)/(-1 + (-3483)/(-3492)). Suppose -4*j + k = 2*y, 2*y + 47 = 2*j - 41. Suppose -19 = -v - 3. Calculate the remainder when j is divided by v.
15
Suppose -114*b + 105*b - 369 = 0. Let g = b + 274. What is the remainder when g is divided by 9?
8
Suppose 5*d - 18 = 2*d. What is the remainder when 64 is divided by -1 + 244/d - 5/(-15)?
24
Suppose 0 = -109*n - 548 + 25291. What is the remainder when n is divided by 35?
17
Suppose 212 = 37*v - 47. Suppose 2*m = -3*m + 15. Suppose 3*f = m*d - 13 - 14, -4*f - 26 = -2*d. Calculate the remainder when v is divided by d.
2
Let p(o) = o**2 - o + 7. Let w = 188 + -98. Calculate the remainder when p(0) is divided by w/12*4/6.
2
Calculate the remainder when 1027 is divided by (544/64)/(((-2)/4)/(9 - 10)).
7
Let b = -12206 + 12274. What is the remainder when 522 is divided by b?
46
Let a(y) = -28*y**3 + 13*y**2 - 83*y - 349. What is the remainder when a(-4) is divided by 125?
108
Suppose -y = -2*w - 11, -5*w - 13 = -4*w - 2*y. Let q(c) = 5*c + 14. Let l be q(w). What is the remainder when 14 + 9/(-2 + l) is divided by 9?
2
Suppose d - 12 = -2*q, 3*q + 186 - 232 = -5*d. Calculate the remainder when 2660 is divided by d.
4
Let x(w) = -2*w**3 + 18*w**2 + 28*w + 43. What is the remainder when x(-5) is divided by 322?
281
Let z = 217 + -88. Suppose -12*o = -9*o - z. Suppose 5*d - 4*a - o = 0, 5*d - 29 = d + 5*a. What is the remainder when 21 is divided by d?
10
Suppose -78*r + 33487 = 11491. What is the remainder when r is divided by 57?
54
Let z = -3225 - -4091. What is the remainder when z is divided by 214?
10
Let x = 8196 + -8089. Calculate the remainder when 6095 is divided by x.
103
Calculate the remainder when 2084 is divided by (-30 - -39)*22/12*180/30.
5
Let r(q) = q**2 - 5*q + 7. Let s be r(5). Suppose 2*i = 3*i + s. Let c(g) = -2*g + 12. Calculate the remainder when c(i) is divided by 14.
12
Suppose -12*y = 54201 - 54225. Suppose 2 = 2*v + 5*x, -4*x + 1 - 4 = -3*v. Suppose m = p + 6*m - v, p = 2*m + 22. What is the remainder when p is divided by y?
0
Let v(u) = -u**2 + 11*u + 83. What is the remainder when 54 is divided by v(-5)?
0
Let t(o) be the second derivative of -o**5/10 - 7*o**4/12 - o**3/2 - 2*o + 27. Suppose 4*s + 16 = -0. What is the remainder when 51 is divided by t(s)?
23
Calculate the remainder when 146 is divided by (0 - 3)/(12/(-472)) + (-32 - -31).
29
Let h = 92 - 83. Suppose 0 = h*b - 0*b - 135. Suppose -5*a + k + 260 = 0, -2*k = 5*a + 3*k - 230. Calculate the remainder when a is divided by b.
6
Let o be ((-10)/4)/(3/(-66)). Suppose 22*w + 13*w - 2170 = 0. Let f = w - o. Calculate the remainder when 18 is divided by f.
4
Suppose 0 = -2*c - 5*j + 11, -j = -0*c - 2*c - 7. Suppose 23*a = 20*a + 2*p + 61, -3*p + 12 = 0. What is the remainder when a is divided by (-16)/3*3/c?
7
Let d(c) = c**2 - 29*c + 41. Let h(s) = s**3 - 15*s**2 - 10*s - 44. What is the remainder when d(30) is divided by h(16)?
19
Let m = -324 - -313. Suppose 0 = h - 4*c - 3, c + 2 = h - 2*h. Let x = h - m. What is the remainder when 48 is divided by x?
8
Let p = -304 + 388. Suppose g + 4*y = 40, p = 14*g - 12*g + 4*y. What is the remainder when g is divided by 9?
8
Suppose -l - 3*f = -6, 0 = 3*l + f + 2 - 28. Let u(a) = a**2 - 8*a + 17. What is the remainder when 89 is divided by u(l)?
11
Suppose -t + 61 = -z, 183 - 508 = -5*t + z. What is the remainder when 1245 is divided by t?
57
Let q(f) = -f**3 - 2*f**2 - 3*f. Let x be q(-3). Suppose 0 = b + p - 8, 3*b + 3*p - x = 2*p. Calculate the remainder when 13 is divided by b.
3
Suppose 3*o - 64 = -0*o - x, 0 = -5*o - 4*x + 116. Let s = -93 - -59. Let g = s - -92. What is the remainder when g is divided by o?
18
Suppose 18*k - 43 - 587 = 0. Suppose -3*v - 3 = 0, v + 489 + 757 = 3*f. Calculate the remainder when f is divided by k.
30
Calculate the remainder when 18*(-5)/10*-19 - 0 is divided by 26.
15
Let v(p) = -248*p - 4501. Calculate the remainder when 1423 is divided by v(-21).
9
Suppose 117285*r - 12224 = 117253*r. Suppose 2*w - 104 = -5*y + 179, 0 = 2*y - 2*w - 102. What is the remainder when r is divided by y?
52
Let t(d) = -d**2 - 32*d + 48. Let m(o) = -7*o - 203. Let n be m(-29). What is the remainder when t(n) is divided by 16?
0
Suppose -5*y - 1 - 4 = 0, 0 = 3*g - 5*y - 11. Suppose h + 2*h - 255 = -4*j, -2*h + g*j = -184. Calculate the remainder when h is divided by 48.
41
Suppose -4*o - 390*u + 1569 = -387*u, 4*o + u - 1571 = 0. Calculate the remainder when o is divided by 84.
57
Suppose -8*c + c = 0. Suppose -5*g + b - 15 = 5*b, c = 5*b. Calculate the remainder when 58 is divided by 15*(g/(-9) - 8/(-12)).
13
Let h(g) = -13*g - 28. What is the remainder when h(-5) is divided by -1 - -5 - -2 - 3?
1
Suppose -7*q + 30*q = -276. Calculate the remainder when q*(4 + 42/(-6)) is divided by 10.
6
Let o = 192 - 790. Let d = 602 + o. What is the remainder when 21 is divided by d?
1
Let s(w) = -w**2 + w - 31. Let b be s(0). Let l = b - -47. Suppose -l*j + 7*j = -279. Calculate the remainder when 120 is divided by j.
27
Suppose k = -3*i + 16, -66 = -5*k - 0*k - i. Suppose 0 = -8*a + 5*a - 183. Let o = -37 - a. Calculate the remainder when o is divided by k.
11
Let i b