n p is divided by 9.
0
Suppose -2*z - 151 = 151. Let o = -9 - z. What is the remainder when o is divided by (-20)/4*-1 - -11?
14
Suppose 6*p + 20 = 50. Suppose 4*b - m - 8 = 174, 0 = p*b - m - 228. What is the remainder when 107 is divided by b?
15
Suppose -4*j = 5*s - 377, 4*j + 2*s - 27 - 335 = 0. Suppose 5*a - 6*a = 3*r - 53, r + 3*a = 7. What is the remainder when j is divided by r?
12
Let y = -57 - -61. Let v be y + -2 + 9/(3 - 0). Suppose 0 = v*a - 10, 0 = -3*d + a - 55 + 302. What is the remainder when d is divided by 12?
11
Suppose 0 = -5*f + 15, 2*f = -2*d + 7*d - 9. What is the remainder when -5*((-9 - -14) + (-274)/10) is divided by d?
1
Let a be -7*117/(-91) + (-1 - 0). Calculate the remainder when 174 is divided by 183*6/18 + a/(-4).
56
Let h = 1148 - 440. Suppose -h = -2*y - 2*y. What is the remainder when y is divided by 30?
27
Let h(d) = -19*d**2 + 229*d + 22. What is the remainder when 135 is divided by h(12)?
33
Suppose 3*m - 2*d - 2 = 0, 0*m + 5*d = -4*m + 18. Suppose -3*n - 26 - 20 + 46 = 0. Suppose 3*w - m*w - 14 = n. Calculate the remainder when 67 is divided by w.
11
Let q(f) = -144*f**3 + f**2. Let h be (-9)/(162/12)*(-6)/(-4). Let w be q(h). Suppose -w + 355 = 10*u. What is the remainder when 60 is divided by u?
18
What is the remainder when -7 + 1/2*-1*-646 is divided by 150?
16
Suppose -5*n + 3*n = 114. Let z be -3 - 280/(-4 - -12). Let r = z - n. Calculate the remainder when 113 is divided by r.
18
Suppose -5 = -5*x, 3*c - 3*x + 4 + 5 = 0. Let w be ((-36)/8)/(-9)*c. What is the remainder when (w - 5)*(185/6)/(-5) is divided by 13?
11
Let t(f) = f + 13. Let p be (-15)/(-25) - 3/15*-157. What is the remainder when 14*(29/10 - p/80) is divided by t(0)?
9
Let h be 5/((-10)/1218) - -4. What is the remainder when 5/(315/(-14)) + h/(-9) is divided by 27?
13
Suppose s - 55 + 11 = -2. Calculate the remainder when 1217 is divided by s.
41
Let w(k) = -3*k**2 - 52*k + 659. What is the remainder when w(-21) is divided by 209?
10
Suppose -34 - 4 = -2*w + 3*r, 2*r = -5*w + 95. Let q = -28 + 50. Suppose -27*g = -q*g - 170. Calculate the remainder when g is divided by w.
15
Suppose 3*g - g - 332370 = -25*g. What is the remainder when g is divided by 114?
112
Let r = -2456 + 3829. Let g be ((-3)/(-4))/(2/120*5). Suppose g*i - r = -95. Calculate the remainder when i is divided by 18.
16
Suppose -n + 13 = 2*j + j, 3*j - 25 = 5*n. Let g(v) = -2*v + 6. Let k be g(n). Suppose y = 5, p + 5*y = 4*p + k. What is the remainder when 8 is divided by p?
3
Suppose -225*k + 137562 = 78*k. Calculate the remainder when k is divided by 229.
225
Suppose -5*b + i = 83, 5*i - 3*i + 42 = -3*b. Let q = b + 22. Suppose -5*d = -2*y + q*y - 145, 5*y - 3*d = 135. What is the remainder when 57 is divided by y?
27
Calculate the remainder when 24 is divided by 30 + -5 - 4/(-16)*-28.
6
Suppose -2*l + 12 = l. What is the remainder when 3/(1/l*24/246) is divided by 43?
37
Let v(g) = -6*g + 13. Let b be v(9). Let i = b + 43. What is the remainder when -18*i/(-2) + (-4)/1 is divided by 7?
0
Suppose 2*d - 528 = -w - 37, 983 = 2*w + 3*d. Calculate the remainder when w is divided by 60.
13
Let r be -1 + (-51)/(-7) - (-4)/(-14). Calculate the remainder when 237 is divided by 404/10 - r/15.
37
Let t(x) = -1642*x**3 + 2*x**2 - 5*x - 5. Calculate the remainder when t(-1) is divided by 150.
144
Suppose 2*k + 2*i = -76, 5*k - 6*i = -4*i - 225. Let z = -43 - k. Suppose -y = x - 15, z = 5*x - 1 - 4. Calculate the remainder when y is divided by 7.
0
Suppose 20663 - 7810 = 5*d + 4*x, -4*d + x = -10295. Calculate the remainder when d is divided by 161.
158
Let w be 6 + -9 + 2 + 36 + -1. Let y = w + -33. What is the remainder when 24/5 + (-2)/(-10) is divided by y?
0
Let v(p) = 17*p**2 + 101*p + 274. What is the remainder when v(-8) is divided by 89?
20
Suppose -21*t + 11*t = -340. Suppose 0 = -2*l + t. What is the remainder when 61 is divided by l?
10
Suppose -447*m + 403*m + 6248 = 0. Calculate the remainder when 402 is divided by m.
118
Let q(o) = 6*o**2 - 55*o - 50. Calculate the remainder when q(-13) is divided by 15.
14
Let x(g) = -3*g**3 + 2*g**2. Let d be x(-1). Let u = d - -6. Suppose -2*v = -4*a + 290, u = 3*v + 2. What is the remainder when a is divided by 15?
14
Let h = 20840 - 16502. Calculate the remainder when h is divided by 26.
22
Suppose 567*b = 236*b + 636182. What is the remainder when 5775 is divided by b?
9
Let j(p) = -2*p**3 - 2*p**2 + 33*p + 63. What is the remainder when 1244 is divided by j(-2)?
4
Suppose 142*n - 43*n - 75*n = 216. What is the remainder when (-2)/(-3)*-3 + 97 is divided by n?
5
Let j(a) = a**2 - 11*a - 43. Let u be j(14). Let g(t) = -164*t**3 + 3*t + 2. Calculate the remainder when g(u) is divided by 42.
37
Let z = -95 + 217. Let p = -2401 - -2434. Calculate the remainder when z is divided by p.
23
Suppose -y - 2*n + 36 = 0, -4*y + 5*y + 5*n - 30 = 0. Suppose z + y = 43. Suppose -43 = -z*s + 20. Calculate the remainder when s is divided by 14.
7
Let r be 4/((-80)/25)*-94*2. Let k = 241 - r. What is the remainder when 57 is divided by k?
3
Suppose -a = -5, -5*y + 586 = -4*a - 819. Calculate the remainder when 3699 is divided by y.
279
Let b = 37 + -35. Suppose 4 = -u + b*n, 0*u + 4*n - 8 = u. Suppose o + 4*j + u*j = 26, 5*j - 7 = 3*o. What is the remainder when o is divided by 4?
2
Let r = -16 + -4. Let t(o) be the third derivative of -o**6/120 - 19*o**5/60 + 19*o**4/24 + 5*o**2. What is the remainder when 77 is divided by t(r)?
17
Suppose -353*x - 3886 = -487*x. Let u(b) = 2*b**3 - 8*b**2 + 8*b - 7. Calculate the remainder when u(5) is divided by x.
25
Let c = 5 - 2. Suppose -2*x - 4*k + 66 = 0, -2*x - c*k = 14 - 79. Let i(o) = -3*o + 39. Calculate the remainder when x is divided by i(7).
13
Let y(g) = 2*g**2 - 16*g + 18. Let x(n) = -n**3 - 19*n**2 + 22*n + 47. Let j be x(-20). Calculate the remainder when 67 is divided by y(j).
3
Suppose 3*h = 2*n - 108, -5*n + h = -97 - 134. Let b be ((-110)/10)/(2/2). Let l(d) = -3*d - 10. What is the remainder when n is divided by l(b)?
22
Let a(v) = -v**3 - 13*v**2 + 39*v + 14. Let x be a(-16). Suppose 10 + x = 12*k. What is the remainder when 149 is divided by k?
9
What is the remainder when (54 + -14)/10*(-815)/(-10) is divided by 217?
109
Let r(o) = 26*o + 4. Let w be r(5). Let q = 175 - w. Calculate the remainder when q is divided by 9.
5
Let q = -16 + 21. Let d be (2 + 1/((-9)/15))*12. Suppose 0 = -5*l - d*l + 54. What is the remainder when l is divided by q?
1
Suppose 0 = l + 5*h - 1912, 11*h = 5*l + 7*h - 9618. What is the remainder when l is divided by 376?
42
Suppose 3*l + 391 = 2*m + 6*l, 2*l = 3*m - 567. Let f(t) = -t**2 + 28*t - 131. Calculate the remainder when m is divided by f(7).
15
Let l = -60 + 29. Let d = l + 41. Let i = 458 - 411. Calculate the remainder when i is divided by d.
7
Suppose -5*b + 185 - 165 = 0, 5*s + 3*b - 1137 = 0. Calculate the remainder when 861 is divided by s.
186
Let m = -7521 - -7600. Calculate the remainder when m is divided by 55.
24
Let d = 22285 - 18082. Calculate the remainder when d is divided by 420.
3
What is the remainder when -126*((-23296)/117)/32 is divided by 88?
80
Suppose -51*r + 171 = -48*r. Calculate the remainder when 795 is divided by r.
54
Suppose -8*c = -4177 + 3553. Suppose 5*x = -w + 212, -3*w + 4*w - 44 = -x. Calculate the remainder when c is divided by x.
36
Let v(c) = 2*c - 14. Let d be v(8). Suppose -d = 4*y - 3*y, -3*f - 4*y = -76. Calculate the remainder when f is divided by 3.
1
Let h be (1 + -7 + 2)*-2. Let c(s) = 2*s**2 - 4*s + 25. What is the remainder when c(h) is divided by 36?
13
Suppose -5*q = 0, 2*x = -3*q + 2*q + 28. Let l = 97 + -92. What is the remainder when (-7 + l - 1*-1)*-66 is divided by x?
10
Let o(w) = -19*w - 6. Suppose 0 = -s - 4 + 1. Let n = 287 - 261. Calculate the remainder when o(s) is divided by n.
25
Let o be (-42)/4*520/(-182). Calculate the remainder when 87 is divided by (5 - o/4)*(-12)/1.
27
Suppose -3*x + 99*k + 14822 = 97*k, k = 2. Calculate the remainder when x is divided by 17.
12
Let u(i) = 53 + 3*i**2 + 0*i**2 - 3*i - 39 + i**2 - 3*i**2. Calculate the remainder when 24 is divided by u(3).
10
Let q be (-11 + 1)*43*(1 - 2). Let x be -2*1/7 + q/(-14). Let p = 58 + x. Calculate the remainder wh