te the remainder when 1543 is divided by p.
34
Let n = 9566 + -9511. What is the remainder when 60 is divided by n?
5
Suppose 44*w - 16114 = 606. Suppose 4*i - w = -2*c - 2*c, -i = 2*c - 98. What is the remainder when i is divided by 37?
18
Suppose -480 + 7410 = -4*n + 34*n. What is the remainder when n is divided by 6?
3
Suppose 5*k - 5*i = 4*k - 20, 0 = -5*i + 20. Suppose k*d - 6*d + 48 = 0. Calculate the remainder when 49 is divided by (-6)/(-6 + d) - 26/(-2).
9
Let t(d) = 6*d**2 + 61*d - 578. Calculate the remainder when 5143 is divided by t(7).
138
Suppose -13*w + 11*w - 12 = 0. Calculate the remainder when (45 + 9)*w/(-4) is divided by 41.
40
What is the remainder when 363 is divided by 3/21 + -3*29724/(-252)?
9
Suppose -23*a + 53*r = 57*r - 681779, -2*a = -r - 59273. Calculate the remainder when a is divided by 41.
39
Suppose -12*k = -3*k - 9. What is the remainder when k/1*7*(-4149)/(-63) is divided by 15?
11
Suppose 4*c + 75 + 1 = q, 0 = 2*q - 3*c - 137. Let r(o) = o + 172. Let a be r(24). Suppose 38*i - a = 24*i. Calculate the remainder when q is divided by i.
8
Suppose 0 = -m - 4*g + 81, 0 = 3*m - g + 88 - 396. Calculate the remainder when 436 is divided by m.
32
Suppose 17 - 825 = -3*a + 2*d, 5*a - 3*d - 1347 = 0. What is the remainder when a is divided by 11?
6
Let z(p) = p**2 + 12*p + 4. Let x(m) = 5*m + 3. Let i be x(-3). What is the remainder when -6 - 8/(-16)*26 is divided by z(i)?
3
Let y = -151 - -135. What is the remainder when (-1242)/y + 6/16 is divided by 10?
8
Suppose 68*m - 1550 = 64*m - 5*j, -m + 383 = 2*j. Calculate the remainder when m is divided by 206.
189
Suppose 0 = 3*g - 39 + 9. Suppose 12*a - g*a = -6. What is the remainder when (-15 + a + 3)/(-1) is divided by 6?
3
Suppose -4*u = 7*u + 35*u - 60582. Calculate the remainder when u is divided by 13.
4
What is the remainder when -6 - (-17)/(119/2968) is divided by 68?
10
Let w be 1 + (1 - 0) - 2. Suppose w = -5*i + 42 + 53. Suppose 20*v - 77 = i*v. What is the remainder when v is divided by 20?
17
Suppose -17*t - 45438 = -125512 - 42547. Calculate the remainder when t is divided by 111.
109
Let q(z) = 3*z**2 + 8*z - 6. Let g = -23 - -14. Let v be q(g). Suppose 4*i = 127 + v. Calculate the remainder when i is divided by 19.
16
Let h(c) be the first derivative of -11*c + 15/2*c**2 + 49 + 2/3*c**3. What is the remainder when 76 is divided by h(-9)?
12
Suppose 0 = 4*x + 16, -2*a - 5*x - 7 = 57. What is the remainder when 3/(-7)*a*7 is divided by 27?
12
Let f(o) = 111*o - 2338. Calculate the remainder when 118 is divided by f(22).
14
Suppose -4*y + f + 2*f = -73, y - 5*f = 31. Suppose 2*l - l = y. Let i = 57 - l. What is the remainder when i is divided by 14?
13
Let g = -401 - -439. Let d = -7 + 118. Calculate the remainder when d is divided by g.
35
What is the remainder when 132 is divided by ((-177)/(-354))/((-9)/(-4)) - (-511)/9?
18
Let j = -27017 - -27210. What is the remainder when 204 is divided by j?
11
Suppose -7111 + 3921 = -20*y + 10350. What is the remainder when y is divided by 36?
29
Suppose u + 3*z - 48 = -0*z, -u = -2*z - 58. Calculate the remainder when 1130 is divided by u.
50
Suppose -28*s + 369345 = -50067. Calculate the remainder when s is divided by 140.
139
Suppose 5 = 5*p, -5*o + 129 = -2*o - 3*p. What is the remainder when (-320940)/(-3780) + 2/42*2 is divided by o?
41
Suppose 55 = 3*w - 17. What is the remainder when ((-8211)/476)/((-2)/(32/3)) is divided by w?
20
Let h be 8/(-20) + (-66)/(-15). Suppose 0 = 2*z + 2*n - 2, -4*n = h*z - 6*n - 28. What is the remainder when 7 is divided by z?
2
Suppose o - 26 = 4*d, -4*o - 10*d - 4 = -82. What is the remainder when 586 is divided by o?
14
Let m(f) = -f + 10. Let i(b) = b + 15. Let s be i(-9). Let p be 52/(-6) - (-4)/s. What is the remainder when 51 is divided by m(p)?
15
Let o be -3 - (-11 + 5 + 1). Suppose -3*s + 63 = o*u + 3*u, s + u = 23. What is the remainder when 42 is divided by s?
16
Let i(t) = t**3 + 10*t**2 - 794*t - 3972. Calculate the remainder when i(-5) is divided by (0 - 62)*1*-1.
61
Suppose 0 = -3*a - 226 + 241. Suppose -3*t - 38 = -z, 0*z = -a*z + t + 148. Let r = 5 + 6. Calculate the remainder when z is divided by r.
7
Let y(s) = s**3 + 7*s**2 - 10*s - 19. Let c be y(-6). Let f = -74 + c. Suppose 4*l = -f*l + 245. Calculate the remainder when l is divided by 18.
17
What is the remainder when 1713 is divided by 645/(-1505)*(-2 - 3981)?
6
Let h = -215 + 343. Suppose 6*l + 350 = 3*x + l, 4*l = -x + h. What is the remainder when x is divided by 31?
27
Suppose -10*f + 28*f = 414. Suppose 0 = 3*g - 3 + 6. Calculate the remainder when f is divided by g + 33*3/9.
3
Let n(f) = -37*f**2 + 17*f**2 + 12*f + 21*f**2 + 25 + 0. Calculate the remainder when 226 is divided by n(-13).
36
Suppose -20*y + 27*y = -4214. Let p = -430 - y. What is the remainder when p is divided by 29?
27
Let y(c) = -51*c + 322. Let a be y(-4). Suppose g = -2*p + a, 97 = -p + g + 360. What is the remainder when p is divided by 19?
16
Let d(v) = v**3 - 6*v**2 + 2*v + 11. Let t = -118 - -145. Suppose -5*m = -3*s - t, 3*m = 2*m + s + 5. What is the remainder when d(m) is divided by 9?
5
Suppose 15 + 65 = 5*y - 4*j, 20 = 2*y - 4*j. Suppose -2*d = 275 - 47. Let f = d + 191. What is the remainder when f is divided by y?
17
Suppose -15*w + 784 = -1541. Let d = w + -136. What is the remainder when d is divided by 7?
5
Let l be (9/((-45)/(-20)) + -3)*0. Suppose 4*y - 150 = -y + 4*g, 2*y + 3*g - 37 = l. Suppose -3*r = -2*r - 7. Calculate the remainder when y is divided by r.
5
Suppose 2*w = -h + 829, 5*w - 814 = 7*h - 8*h. Calculate the remainder when h is divided by 282.
275
Let r = 45 + -42. Suppose 21 = 4*u + r*t, 4*t = -u + 5 + 10. Calculate the remainder when (-682)/(-44) - (-2)/(-4) is divided by u.
0
Suppose 0 = 2*c - 3*q - 5766, -23*c - 4*q - 11524 = -27*c. What is the remainder when c is divided by 575?
2
Let i(j) = 20*j - 113. Let n = -642 - -652. What is the remainder when i(35) is divided by n?
7
Suppose 2*p - 116 = -3*j - 3*p, 0 = 3*j - 3*p - 84. Let m = 126 - j. Let n = 107 - m. Calculate the remainder when 86 is divided by n.
8
Suppose -4*f + u + 36 = 3, -4*u + 3 = -f. Suppose -x + 19 - f = 0. Suppose -30 + x = -4*j. What is the remainder when 32 is divided by j?
2
Let l = 724 - 626. Let y = 142 + -119. Calculate the remainder when l is divided by y.
6
Suppose 361 = -b - b - j, 0 = 2*b + 3*j + 351. Let r = 237 + b. Suppose -2*z + 11 = -p, 3*p = 5*z - 3*z - 1. What is the remainder when r is divided by z?
6
Let f(z) = z**3 - 96*z**2 - 502*z - 246. Calculate the remainder when 388 is divided by f(101).
46
Let v(z) = -z**2 + 20*z - 5. Let u be v(18). Suppose 33 + u = 4*j. Suppose 10*l - 1755 = -645. Calculate the remainder when l is divided by j.
15
Let w(n) = -n**2 - 13*n + 48. Let d be w(-12). Suppose -11*m = -15*m + d. What is the remainder when 69 is divided by m?
9
Let m(g) = -32*g - 1875. Let q(v) = -v**3 + 12*v**2 - 12*v - 9. Calculate the remainder when q(10) is divided by m(-59).
6
Let q(t) = -t**3 - 60*t**2 + 190*t + 131. Suppose 0 = 13*h - 10*h - 42. What is the remainder when q(-63) is divided by h?
12
Suppose -525 - 487 = -46*u. What is the remainder when 2308 is divided by u?
20
Let r(m) = -m**3 + 11*m**2 + 34*m - 9. Calculate the remainder when 865 is divided by r(7).
15
Let o(i) = -5*i**3 + 48*i**2 - 28*i + 34. Calculate the remainder when 7192 is divided by o(9).
17
Let q = -5 - -7. Let b be (q + (-2 - -1))/((-14)/(-126)). Calculate the remainder when 57 is divided by 2/(b/(135/2)).
12
Let u = -8147 - -9051. Calculate the remainder when u is divided by 101.
96
Let h(v) = 247*v - 1443. What is the remainder when 553 is divided by h(6)?
7
Suppose 26*a = -70 + 434. Let h = -10 - -135. What is the remainder when h is divided by a?
13
Suppose -4*n - 2*f = -12, 16 = 4*n + 3*f + 4. Suppose 17*h - 100 = -n*h. Calculate the remainder when 30 is divided by h.
0
Let r(w) = 15*w + 8. Let k be r(-2). Let a = -5 - k. What is the remainder when (1 - -1)*(-16 - -41) is divided by a?
16
Let b = 123 + -132. Let h = 78 + b. Suppose 0*r + k - h = -5*r, 5*r = 2*k + 72. Calculate the remainder when 40 is divided by r.
12
Suppose 0 = -8*s - g + 300 + 143, 5*s = 3*g + 266. Calculate the remainder when s is divided by