-5*p + 8. Suppose 32 = n + 2*x, p*n = 6*n - 5*x - 128. What is the remainder when -2*3/6 + n is divided by 16?
15
Let t be (2/(-4))/(5/(-10)) - -7. Suppose -t*s = -7*s - 123. What is the remainder when s is divided by 25?
23
Suppose -152 = -53*x + 219. What is the remainder when 45 is divided by x?
3
Let r = 676 + -616. Calculate the remainder when r is divided by 2.
0
Let d(y) = y**3 + 10*y**2 - 13*y + 8. What is the remainder when d(-10) is divided by 47?
44
Let u be (1 - (1 - 1)) + -1 + 5. Suppose 37 = -u*d + 162. Calculate the remainder when d is divided by 13.
12
Let p(x) = 5*x**2 - 3*x - 4. Calculate the remainder when 69 is divided by p(2).
9
Let j = 7 + -5. Calculate the remainder when -1 - -5 - j*-1 is divided by 4.
2
Suppose -8*i + 8 = -4*i. What is the remainder when i is divided by (16/((-480)/(-45)))/((-1)/(-4)*3)?
0
Suppose 9*b = 11*b - 42. What is the remainder when 27 is divided by b?
6
Suppose -5*u - 28 = 307. Let r = u - -186. What is the remainder when r is divided by 30?
29
Let i = 2 + 2. Suppose i = f - 0. Let l(y) = 5*y**2 + 12*y - 25. Calculate the remainder when l(2) is divided by f.
3
Let q = 15 + 17. Calculate the remainder when 115 is divided by q.
19
Let b(k) = -7*k - 37. What is the remainder when b(-11) is divided by 23?
17
Let i = 925 + -877. Calculate the remainder when 228 is divided by i.
36
Suppose -w = 492 - 528. What is the remainder when 98 is divided by w?
26
Let d(a) = 2*a**2 - 23*a - 188. Calculate the remainder when 216 is divided by d(-6).
18
Suppose 0 = -5*q - 4*v + 45 - 10, 2*v - 10 = 0. What is the remainder when 250 is divided by q?
1
Let y(u) = u**3 + 16*u**2 - 20*u - 26. What is the remainder when 48 is divided by y(-17)?
23
Let o(u) = -13*u**3 - u**2 - 7*u - 7. Calculate the remainder when 44 is divided by o(-1).
8
Let k = 5 + -2. Suppose 5*n - 7 = k. Suppose -n*d = -6*d + 148. What is the remainder when d is divided by 10?
7
Let u(q) be the first derivative of -3*q**2 + q + 11. What is the remainder when 147 is divided by u(-4)?
22
Let u(x) = x**3 - 4*x**2 - 4*x + 5. Let t be u(5). Let f = 64 - t. Let o(d) = d**2 - 6*d + 7. Calculate the remainder when f is divided by o(7).
12
Calculate the remainder when 99 is divided by 6/(-18) + (-2)/3 + 16.
9
Let p = 10 + -13. Let f(v) = -8*v**2 - 4*v - 2. Let y be f(p). What is the remainder when 39 is divided by y/(-3) + (-8)/12?
19
Suppose 3*t + 33 = 2*m, 3*m + 3 = 3*t + 33. Let d = 0 - t. What is the remainder when 1/8*2 - 91/(-4) is divided by d?
10
Let j(v) = -21*v - 1. Calculate the remainder when j(-2) is divided by 10.
1
Let q(c) = -c**3 - 11*c**2 + c + 14. Let x be q(-11). Suppose r - 4*t = 8, -x*r + 46 = -0*r - t. What is the remainder when 42 is divided by r?
10
Let g(f) = 4*f**2 + 20*f - 151. Calculate the remainder when g(7) is divided by 17.
15
Suppose 11 = 3*u - 4. Suppose -5*s - t = -164, -4 = u*t + 1. Suppose 4*z - 26 = 46. What is the remainder when s is divided by z?
15
Let l(j) = 29*j + 37. What is the remainder when 287 is divided by l(-1)?
7
Let j = 1 + -1. Suppose 5*y - 90 = -j*y. What is the remainder when y is divided by ((-14)/(-3))/((-6)/(-87) + 2808/4698)?
4
Let a(t) = -t**2 + 16*t + 2. Suppose 0 = 2*n - 3 - 5. Suppose -7 = n*j - 47. What is the remainder when a(11) is divided by j?
7
Let a = 31 - 69. Let t = a - -34. Calculate the remainder when ((-1)/t)/((-6)/(-456)) is divided by 5.
4
Suppose -7 = -2*q - 2*b + 109, q = -5*b + 58. Let y = 41 + -11. Calculate the remainder when q is divided by y.
28
Let f = 26 - -23. Calculate the remainder when (-42)/4*(-84)/f is divided by 10.
8
Let d be 403/(-5) + 3/5. Let g = d + 130. What is the remainder when g is divided by 13?
11
Suppose a = 4*v + 34, -5*a - 26*v + 28*v = -188. What is the remainder when 187 is divided by a?
35
Suppose -7*v = 276 - 941. What is the remainder when v is divided by 16?
15
Let t = -93 - -258. Calculate the remainder when t is divided by 28.
25
Suppose i = 5*w + 4*i, 0 = -w - 3*i - 12. Let o(n) = -n**2 + 4*n + 6. Let c be o(4). Let g = c - 3. What is the remainder when g is divided by w?
0
Suppose 2*u - 2*v = -4*v, 2*u + 5*v = 0. Suppose u = -5*i + 4*h + 25, -2*h = h + 15. What is the remainder when 2 is divided by i?
0
Let a(f) = 67*f**2 + 30*f + 4. What is the remainder when a(-4) is divided by 33?
32
Suppose 64*c - 60*c = 12. Suppose 3*y = c + 24. Let d = 2 + 2. What is the remainder when y is divided by d?
1
Suppose 0*a + 3*a = 60. Suppose a = -3*y + 134. Suppose -r + 5*r = 40. Calculate the remainder when y is divided by r.
8
Let u = -1327 - -2321. Calculate the remainder when u is divided by 50.
44
Suppose -241 = -4*c - 141. Calculate the remainder when 62 is divided by c.
12
Suppose -414 = 3*b - 21*b. What is the remainder when 37 is divided by b?
14
Let j = 383 + -380. What is the remainder when 4 is divided by j?
1
Let x = -218 - -233. What is the remainder when 14*3*1 - 1 is divided by x?
11
Calculate the remainder when 66 is divided by (-152)/(-20) - 8 - (-561)/15.
29
Suppose -4*u - 30 = 3*c - 85, -4*c + 4*u = -36. Suppose 11*l = c*l - 110. What is the remainder when l is divided by 14?
13
Let h = 22 - 7. Let c(p) be the second derivative of -p**5/20 + 3*p**4/4 - 5*p**3/6 - 7*p**2/2 - 4*p. Calculate the remainder when c(7) is divided by h.
11
Suppose 65*y = -y + 1716. What is the remainder when 178 is divided by y?
22
Let x(d) = -3*d + 6. Suppose 0*g = -5*g - 4*u + 54, -3*g = -2*u - 28. Let o = 4 - g. What is the remainder when x(o) is divided by 9?
6
Suppose -25 - 175 = -4*z. Calculate the remainder when z is divided by 40*(-12)/(-96) - -8.
11
Suppose -l = 3*s - 23, 5*l - 43 = 2*s + s. Calculate the remainder when 62 is divided by l.
7
Let a be (-128)/(-12)*(5 - 2). Suppose 3*n - a = -2*n - 2*d, -4*n + 19 = -5*d. Let q(s) = -4*s + 1. What is the remainder when q(-5) is divided by n?
3
Suppose 0 = 2*h, -10*h = -5*o - 8*h + 220. Suppose 4*y = -3*j + y + 39, y + 19 = j. What is the remainder when o is divided by j?
12
Suppose 0 = -15*h - 4*h + 1976. What is the remainder when h is divided by 18?
14
Let j = -51 - -75. Let m(o) = o**3 + 3*o**2 - 5*o. Calculate the remainder when j is divided by m(-4).
0
Let g be (-6)/27 - (-141)/27. Let i = 17 + g. Suppose 2*v = -5*c + 167, 5*c + 346 = 4*v + 3*c. What is the remainder when v is divided by i?
20
Suppose -4*q + 9*q + 170 = 0. Let w = q + 40. Calculate the remainder when w is divided by 2.
0
Suppose n = 9*n. Calculate the remainder when 10 is divided by n/(-4) - (-4 + 0).
2
Suppose 7*a - 349 - 85 = 0. Suppose -54 - 48 = -2*y + h, y = -5*h + a. Suppose 0*s - 4*s = -56. Calculate the remainder when y is divided by s.
10
Suppose -12*g - 222 = 162. Let t = -194 + 137. Let k = g - t. Calculate the remainder when 49 is divided by k.
24
Let i be -3*(-2)/(-2)*-1. Suppose u - i*u = -32. Calculate the remainder when u is divided by 6.
4
Suppose -j - 3*u = -36, -3*j + 2*u + 18 + 35 = 0. Calculate the remainder when 78 is divided by j.
15
Suppose 4*t + 24*v - 20*v = 724, 5*v - 374 = -2*t. Calculate the remainder when 1768 is divided by t.
175
Let c(u) = u**2 + 85. Let z = 15 + -11. Calculate the remainder when c(0) is divided by (-3)/(-12) + 87/z.
19
Let l = 1357 + -1325. Calculate the remainder when 188 is divided by l.
28
Suppose 2*a - 40 = -2*a. Suppose -w + b + a = 0, -w + 6*w - 4*b = 45. What is the remainder when 28 is divided by w?
3
Let f(r) = 49 - 5*r**2 - r + 20 - 18 - 17*r**2 + r**3. What is the remainder when f(22) is divided by 7?
1
Suppose -4*q - 1 = -13. Let l(i) = -9*i**3 + 26*i**3 + i + 32 - 18*i**q. What is the remainder when l(0) is divided by 11?
10
Let g(s) = -s**2 - s + 26. Let f be g(-8). Let b = f + 73. What is the remainder when b is divided by 23?
20
Let y(q) = -q**3 + 6*q**2 + 2*q + 2. Let w = -9 + 3. Let t(c) = -c - 1. Calculate the remainder when y(6) is divided by t(w).
4
Let i(t) = 16*t**2 - 4*t - 4. What is the remainder when -9*(5/4)/((-6)/24) is divided by i(-1)?
13
Calculate the remainder when 15 is divided by 18/21*(-28)/32*-4.
0
Let f(x) = -x**3 - 14*x**2 - 27*x + 37. Calculate the remainder when 2554 is divided by f(-12).
72
Suppose 4*p + 8*h - 7*h = 198, 4*p - 204 = -4*h. What is the remainder when 249 is divided by p?
4
Calculate the remainder when 2/(-4) + (-2)/4 + 38 i