the remainder when p is divided by w.
1
Suppose 300 = -7*f - 3*f. Let o = f + 63. Suppose -3*t = -5*m + 202, 39 + o = 2*m + t. Calculate the remainder when 188 is divided by m.
36
What is the remainder when 1322 is divided by (1 - -30) + 10/10*-4?
26
Suppose -3*l + 1999 - 9079 = -63*l. Calculate the remainder when l is divided by 15.
13
Suppose -3*x = -p + 53, -5*x = 40*p - 41*p + 59. Calculate the remainder when 75 is divided by p.
31
Calculate the remainder when 12733 is divided by ((-11 - -3) + -24)*(0 + -2).
61
Let c(t) = 12*t + 65. Let x be c(-5). Let g = -1 + 3. Suppose -3 = -g*o + x. Calculate the remainder when 11 is divided by o.
3
Let f(d) = 4 - 8 + 5 - 37*d - 23 - 20. Calculate the remainder when f(-7) is divided by 13.
9
Suppose -2605 = -117*n + 2333 + 444. What is the remainder when n is divided by (13/(-2))/(2/(-4))?
7
Calculate the remainder when 9514 is divided by (-7 - 13/39*-23)*(-519)/(-2).
172
Let x = -3 + 9. Let k be (-14)/7 - (-87)/(-6)*-6. Let u = 87 - k. What is the remainder when x is divided by u?
0
Suppose 4*b + 36*f - 31*f = 1259, 2*f = b - 318. Calculate the remainder when b is divided by 155.
6
Suppose 80 = 5*r + 3*g - 23, r - 2*g = 18. Let q be (2 - 3/3)/(5/(-15)). Calculate the remainder when 783/24 + ((-45)/40)/q is divided by r.
13
Suppose 0 = -4*x + x + 129. Let v = 3877 + -3800. What is the remainder when v is divided by x?
34
Let b be (2/(-8)*0)/(-1). Suppose 4*r + 34 - 178 = b. Suppose -4*f = -236 + r. Calculate the remainder when 95 is divided by f.
45
What is the remainder when 147 is divided by 3/(-90)*24 + (-299)/(-5)*1?
29
Let v(r) = 7*r**2 + 92*r + 22. Let o be (-486)/(-405) + (-76)/5. Suppose -2*j + 11 + 43 = 0. What is the remainder when v(o) is divided by j?
25
Let g(n) = -n**3 + 7*n**2 - 8*n + 16. Let q(l) = -l**3 - l**2 - l + 15. Let r be q(0). Suppose x = -2*x + r. What is the remainder when 51 is divided by g(x)?
25
Let x(p) = -p**3 - 38*p**2 - 41*p - 127. Suppose 217 = -6*v - 5. Let f = 6 + 0. What is the remainder when x(v) is divided by f?
3
Let p(y) = -5*y**2 + 145*y + 24. Suppose 3*s - 413 = 232. Calculate the remainder when s is divided by p(29).
23
Let y(c) = 8*c - 29. Suppose 5*o + 10 = 15. Suppose -l + 4 = -o. Calculate the remainder when 63 is divided by y(l).
8
Suppose 933 - 8181 - 7344 = -32*u. Calculate the remainder when u is divided by 227.
2
Let c be 98/(-21)*72*2/(-14). Suppose 191*b = 188*b + c. Suppose -8 - 232 = -b*i. What is the remainder when 20 is divided by i?
5
Suppose 482 = 6*j + 2*u - 20, -u + 5*u = -28. Let s = -29 + 44. What is the remainder when j is divided by s?
11
Let r = 2629 - 1453. What is the remainder when 125 is divided by r/18 + 1/(-3)?
60
Suppose -2*r = h - 12, -4*r + 14 = h + 10. Let y(k) = k**2 + 7*k + 6. Let n be y(-7). Suppose -9*l + 207 = -n*l. What is the remainder when l is divided by h?
9
Suppose -1185*z + 1214*z = 812. What is the remainder when 238 is divided by z?
14
Let y = 1786 + -1722. Calculate the remainder when y is divided by 20.
4
Let r be 68/(-170) - 88/5. What is the remainder when (1521/r)/((-2)/4) is divided by 9?
7
Let n = 1204 + -1170. What is the remainder when 463 is divided by n?
21
Suppose -2*f + 56 = 2*p, -17*f + 16*f + 43 = -4*p. Calculate the remainder when 75 is divided by f.
13
Suppose 18*h = 2026 + 5408. Calculate the remainder when h is divided by 60.
53
Let b = 86 - 56. Suppose -118*i = -113*i - b. Calculate the remainder when 81 is divided by i.
3
Let y(h) = h**3 + 6*h**2 - 91*h - 463. What is the remainder when 273 is divided by y(-8)?
136
Let w(y) = -18*y + 64. Let p = 165 + -169. Calculate the remainder when w(p) is divided by 46.
44
Suppose -23*k + 6177 = 3325. What is the remainder when 4825 is divided by k?
113
Let p(i) = i**2 - 2*i + 1. Let o be p(2). Let d = o + 11. What is the remainder when (524/(-786))/((-1)/(-126)*(-3 + 1)) is divided by d?
6
Let l(x) = -x**3 + 7*x**2 - 2*x - 5. Let q = -11 - -14. Let p = 57 + -11. What is the remainder when p is divided by l(q)?
21
Let n = -381 + 444. Suppose -68*k = -n*k - 1310. What is the remainder when k is divided by 33?
31
Let g(h) = h**3 + 26*h**2 - 38*h - 67. Let n(z) = -z**3 + 5*z**2 + 13*z - 34. Calculate the remainder when g(-27) is divided by n(6).
6
Let p be 26 - (1*-7 - (5 - 9)). Calculate the remainder when 218/3161 - (-3913)/p is divided by 23.
20
Suppose -138*o + 300*o - 4374 = 0. Suppose 4*d + l - 1 = 14, -4*l - 20 = -4*d. Suppose d*i = i + 240. Calculate the remainder when i is divided by o.
26
Suppose -5*r = 4*z - 594, 0 = z + r + 4*r - 141. Suppose -87*n = -8 - 420 - 7. Calculate the remainder when z is divided by n.
1
Let s(u) = 2*u**3 - 2*u**2 - 3*u + 2. Let d be s(3). Suppose -d*h + 37*h - 56 = 0. What is the remainder when 24 is divided by h?
3
Let r(u) = 3*u**2 - 28*u + 56. Calculate the remainder when 2638 is divided by r(8).
22
Suppose -4*v + 4*b - 140 = 0, 13*v = 18*v + 3*b + 135. Calculate the remainder when (7 - 378/v) + (-10)/(-25) is divided by 9.
2
Let c(z) = -105*z + 245. Calculate the remainder when 836 is divided by c(2).
31
Let h(l) = l**3 + 18*l**2 + 30*l - 29. Let w be h(-16). Suppose 11*j + 139 = w*p + 15*j, -2*p = -j - 78. Calculate the remainder when 157 is divided by p.
34
Let u = 383 - 176. Let a = u + -83. Calculate the remainder when a is divided by 26.
20
Let t = 489 + 122. Suppose t*q - 51 = 608*q. Calculate the remainder when 33 is divided by q.
16
Let o = -256 + 455. Let q = 205 - o. Calculate the remainder when 7 is divided by q.
1
Let p(x) = 3*x**2 - 92*x - 27. Let z be p(31). Suppose 0 = z*m + 25*m - 725. What is the remainder when 49 is divided by m?
24
Suppose 58 + 50 = 27*i. Let j = -15 - -20. Suppose -6*o + j*o = -25. Calculate the remainder when o is divided by i.
1
Let i = 4287 - 4002. What is the remainder when i is divided by 29?
24
Suppose 8*o = 4*o + 320. Suppose 4*l + j = -46 + 153, -4*j + 64 = 3*l. Calculate the remainder when o is divided by l.
24
Let y(d) = -2*d**3 - 13*d**2 - d - 37. What is the remainder when 46 is divided by y(-7)?
8
Let f = -12571 - -12671. What is the remainder when 17194 is divided by f?
94
Let y be (-3)/(-12)*-2*-6. Suppose -n + 6 = -3*c, c = -2*n - y*c + 22. Let p(w) = 2*w**2 - 32*w - 87. Calculate the remainder when p(-3) is divided by n.
0
Suppose x - 2*d = 47, 3*x - 4*d = -0*x + 149. What is the remainder when x is divided by (63/(-45))/(30/(-600))?
27
Let t(u) be the first derivative of -1/3*u**3 - 33 + 9/2*u**2 - 9*u. What is the remainder when 80 is divided by t(3)?
8
Let z = -4878 + 5128. Let y(q) = 9*q. Calculate the remainder when z is divided by y(4).
34
Let b = -1163 - -1176. What is the remainder when 1906 is divided by b?
8
Let w(k) = -3*k - 3*k + 7 + 277*k**3 - 261*k**3. What is the remainder when w(2) is divided by 25?
23
Let f(d) = 51*d - 112. Let c be f(13). Suppose 321*r + c = 340*r. What is the remainder when 286 is divided by r?
25
Let g(y) = y**3 + 20*y**2 + 16*y + 76. Let o = 336 - 289. Calculate the remainder when g(-19) is divided by o.
39
Let h(b) = -b**3 + 46*b**2 - 506*b + 90. Calculate the remainder when h(26) is divided by 64.
6
Suppose -181*o - 39591 = -264*o. What is the remainder when o is divided by 233?
11
Let j = -5406 - -5520. Calculate the remainder when j is divided by 68.
46
Let t(j) = 23*j - 25. Let f be ((-37)/(-7) - 3) + 10/(-35). Let q(a) = -a**2 - 2. Let c(p) = f*q(p) + t(p). Calculate the remainder when 95 is divided by c(9).
15
Suppose 169173 + 488575 = 52*l. What is the remainder when l is divided by 253?
252
Let b(q) be the third derivative of 29*q**5/60 - 5*q**4/8 + q**3 - 4*q**2 - 32. What is the remainder when b(3) is divided by 25?
22
Suppose 0 = -18*z + 442 + 818. Suppose 4*c = 15*c - 3058. What is the remainder when c is divided by z?
68
Calculate the remainder when (0 + 9)*41/3 is divided by (-262)/3013 - (-1800)/69.
19
Let s = -19838 - -19934. What is the remainder when 5371 is divided by s?
91
Let a be 2/10 + 4491/45. Suppose 0 = -2*t - 56 + a. What is the remainder when 0/(-2)*1 - -128 is divided by t?
18
Suppose x - 3*y - 250 + 195 = 0, 4*x = 5*y + 199. What is the remainder when 88 is divided by x?
42
Let z be (-1160)/(-64) - 1/8. Let v = -18 + z. What is the remainder when 22 is divided by (3 - v)/(1/2)?
4
Let w b