p. Calculate the remainder when 4199 is divided by p.
209
Let g(l) = 17*l**2 - 15*l + 2. Suppose n - 9 = 11. What is the remainder when g(3) is divided by n?
10
Suppose 95 = -3*w + 7*w + 35. Calculate the remainder when 1447 is divided by w.
7
Let o = 197 + -221. Let z(j) = -8*j - 176. Suppose -4*i = -7*i + 27. Calculate the remainder when z(o) is divided by i.
7
Let n be (-22 - -143)/(1/5 - 0). Let r = -568 + n. What is the remainder when r is divided by 8?
5
Let z = -4 - -8. Suppose 0 = 2*j - b - 28, -2*j + z*b = -55 + 15. Calculate the remainder when 770/140*68/11 is divided by j.
10
Let x(z) = z**3 + 5*z**2 - 2*z - 6. Let w(q) = -6*q**2 - 53*q + 5. Let j be w(-9). What is the remainder when 107 is divided by x(j)?
17
Let w = -44 + 60. Suppose 2*x + 2*i = 26, -5*i = -x + 9 + w. Suppose k + 0 = 3. What is the remainder when x is divided by k?
0
Suppose -18 = -6*t, 5*y - 8*t + 6*t - 1194 = 0. Suppose 3*b = -7*z + 2*z + 233, -4*b - 16 = 0. Calculate the remainder when y is divided by z.
44
Let c be 1752/24 + (-1 - 0). Suppose 2*t + c = 4*t - 4*z, 3*z = -5*t + 128. Calculate the remainder when t is divided by 3.
1
Let w be (149 + -7)*1 - -7. Suppose 0 = -5*d + 4*s + w, -5*d = -4*d - 5*s - 13. Calculate the remainder when 327 is divided by d.
30
Let z = -183 - -265. Suppose 6*s + 17 = 9*s - 4*c, 0 = -3*s - 5*c - 1. Suppose 19 = s*t - 44. Calculate the remainder when z is divided by t.
19
Suppose g + 1040 + 2216 = 4*p, 3*g = -3*p + 2457. What is the remainder when p is divided by 37?
1
Let w(n) = -20*n - 30. Let q be w(-2). Suppose q*m - 2380 = -0*m. Calculate the remainder when m is divided by 24.
22
Suppose 8*o + 18 = -62. Let k(s) = -12*s**3 + s**2. What is the remainder when k(-2) is divided by 4/o - (-792)/30?
22
Let n(s) = 2*s**2 - 24*s. Let t be n(12). Suppose 2*x + 90 = 5*v, t = v - 6*v + 3*x + 90. Calculate the remainder when 680 is divided by v.
14
Let l = -2517 - -2707. What is the remainder when 375 is divided by l?
185
Suppose -31*r + 27*r + 100 = 0. Let b = r - 21. Suppose 2*w - 14 = 4*m, -w + b*m = -0*w - 7. Calculate the remainder when 47 is divided by w.
5
Let o(p) = -p**3 + 7*p**2 - 96*p - 1632. Calculate the remainder when o(-26) is divided by 225.
222
Let m(i) = 32*i - 637. Calculate the remainder when m(30) is divided by 44.
15
Let h = -16532 + 16644. Let n = 36 + -16. Calculate the remainder when h is divided by n.
12
Let w = 479201 + -479188. Let n = 116 + -71. What is the remainder when n is divided by w?
6
Let r(z) = -3*z**2 + 27*z + 12. Suppose -44*w = -54*w + 90. Let j(t) = t + 10. Calculate the remainder when r(w) is divided by j(0).
2
Suppose 24*j = 25*j - 61. Suppose -55*g + j*g - 402 = 0. Calculate the remainder when g is divided by 21.
4
Suppose -247*u = -266*u + 817. What is the remainder when 566 is divided by u?
7
Suppose 1728 = 4*i + 4*b, 186 = -3*i + 5*b + 1514. Calculate the remainder when i is divided by 4.
0
Suppose -4*c = f + 804, 788 = -4*c + 28*f - 25*f. Let a = -141 - c. What is the remainder when a is divided by 10?
9
Let b(d) = -2*d**2 - 37*d - 71. What is the remainder when 420 is divided by b(-9)?
20
Let d be ((-5)/(-1) - 4) + 4. What is the remainder when 18 is divided by 24/d - (-16)/80?
3
Let j(x) = x**2 - 13*x - 9. Let u be j(16). Let f be 5/4 + u/52. Let h = f - -86. Calculate the remainder when h is divided by 13.
10
Suppose 63222 = 46*o - 84668. Calculate the remainder when o is divided by 67.
66
Let o = -43 + 45. Suppose -2977 = v - 6*v - o*r, r = -4. What is the remainder when v is divided by 13?
12
Suppose 660 = 60*t - 55*t. What is the remainder when t is divided by 10?
2
Let g(a) = -a + 63. Let v be (-6)/9 + 5/(-15). Let q(h) = -11*h**3 - h**2 + h + 1. What is the remainder when g(24) is divided by q(v)?
9
Let h = 8383 - 7676. What is the remainder when h is divided by 182?
161
Let z = 69 - -15. Suppose -4*c = -8, 2*c - z = -0*p - 5*p. Calculate the remainder when (-20)/(-30) - ((-130)/3 + 1) is divided by p.
11
Calculate the remainder when (-120)/((-120)/6) + (-3149)/(-1) is divided by 93.
86
Suppose 0 = 150*g - 148*g - 10, 4*d - 5*g - 1643 = 0. What is the remainder when d is divided by 231?
186
Let z = 3259 - 3244. Calculate the remainder when 4377 is divided by z.
12
Let i = -7514 + 7565. What is the remainder when 0 + -2 + 99 + -1 is divided by i?
45
Let v = 29 + -23. Let h = 16 + -2. Calculate the remainder when v/(1 - (-35)/(-45)) is divided by h.
13
Calculate the remainder when 4/16 - (1 - 6155/20) is divided by 102.
1
Let s(o) = -30*o + 90. Let a be s(-15). Calculate the remainder when 42 is divided by (16/(-6))/((-48)/a).
12
Suppose 2*c = -5*o + 1015, -o - 5*c = 4*o - 1000. Suppose 11413 - 3286 = 387*j. What is the remainder when o is divided by j?
16
Let g(b) be the second derivative of b**4/12 + 2*b**3 + 12*b**2 - b. Let k be 10/35*((-46 - -5) + 6). What is the remainder when 11 is divided by g(k)?
3
Calculate the remainder when (-43964)/(-87) + -7*(-12)/126 is divided by 118.
34
Let g = 11362 + -11205. What is the remainder when 624 is divided by g?
153
Let m(b) = 33*b + 2128. Calculate the remainder when 286 is divided by m(-64).
14
Suppose 0 = -1607*g + 1613*g - 354. What is the remainder when 1650 is divided by g?
57
Let b(w) = 2*w**3 + 29*w**2 + 7*w - 27. Let p = 100 + -114. Calculate the remainder when b(p) is divided by 36.
35
Let m = -3882 - -4045. Calculate the remainder when m is divided by 149.
14
Let x(w) = -10*w - 6 - 2 - 6. Suppose 0 = 2*p - 2*y + 14, -2*y - 182 = -192. Calculate the remainder when x(p) is divided by 4.
2
Suppose 434 - 417 = -y. Let z(r) = r**3 + 2*r**2 - 2*r - 1. Calculate the remainder when (-1 - 6) + (-2 - y) is divided by z(-2).
2
Let n(v) = -50*v**2 + v - 3. Let z be n(2). Let g = z + 209. What is the remainder when 58 is divided by g?
2
Let v = -41 - -48. Suppose -i = 26*q - 27*q - 75, 2*i - 146 = -2*q. Calculate the remainder when i is divided by v.
4
Suppose 14*j - 1287 = 617. What is the remainder when j is divided by 51?
34
Let b be (4 + -5 - 1) + 60. Suppose -15*d = b - 1078. Let m = -34 - -57. What is the remainder when d is divided by m?
22
Let k(q) be the second derivative of q**5/20 - 11*q**4/6 + 25*q**3/6 - 27*q**2 - 33*q. Calculate the remainder when k(21) is divided by 12.
6
Suppose -47*p + 5744 = -3830 + 2759. Calculate the remainder when 167 is divided by p.
22
Suppose -3*h - 262 = -4*t, t - 2*h = -3*t + 264. Calculate the remainder when (((-6272)/12)/8)/((-11)/33) is divided by t.
62
Let o be 66/(-14) - 0 - (-76)/(-266). Suppose 2*y + 0*y - 40 = 0. Let f = y + o. Calculate the remainder when 29 is divided by f.
14
What is the remainder when (-4)/(-1)*(-2)/(-8)*159 is divided by 71?
17
Suppose 0 = -f + 2*t - 121 - 387, -4*t = f + 514. What is the remainder when (3 + -1)*f/(-12) is divided by 26?
7
Let w = 711 - 441. Let x = -256 + w. Calculate the remainder when 65 is divided by x.
9
Let w be (-1 + (-1)/3)/(10/(-45)). Suppose -14 = -w*z + 10. Suppose -5*f + 40 = -2*m, 3*m = -f - 4 - 5. Calculate the remainder when f is divided by z.
2
Let a = 25 - -10. Suppose 4*w + a = 475. Calculate the remainder when w is divided by 4/(6/12 - 17/68).
14
Suppose 2*x - 2*k = 30, -647*x - 51 = -652*x - 3*k. What is the remainder when 581 is divided by x?
5
Let j be (280/60)/(2*2/42). Suppose 4*r = -j + 109. What is the remainder when 21 is divided by r?
6
Suppose 0 = -3336*d + 3350*d - 2716. What is the remainder when 425 is divided by d?
37
Suppose p - 6 = 0, -11*d + 2*p - 624 = -14*d. Calculate the remainder when d is divided by 167.
37
Suppose 2*t - 27 = -5*m, -3*m + 2*t = 3*t - 16. Suppose 2*f + 35 = 3*q, -5*q = 4*f - m - 68. What is the remainder when 237 is divided by (q - -17)/(0 - -1)?
27
Let t(s) = 15*s**2 - 6*s - 1. Let n be t(-1). Suppose -41*u - n = -36*u. What is the remainder when 186 is divided by 3/((u/(-30))/(6/5))?
24
Suppose -94*c + 15*c + 12426 = 35*c. Calculate the remainder when 2615 is divided by c.
108
Let k be (32/(-3))/((-26)/39). Calculate the remainder when 105 is divided by 105/5 - (-7 + k).
9
Suppose 5*g + 1055 = 1325. Suppose 13 = 2*j - 91. Suppose -4*m - j = -4*i, -3*m + 9 = i - 2*m. What is the remainder when g is divided by i?
10
Suppose -13 = -3*u + 11. Let y be (-2)/4*-6 + -67 + 29. Let l(j) = -2*j - 5