is the remainder when 105 is divided by m(p)?
33
Let h(i) = -i**2 + 72*i - 926. Let b be h(34). Let r be (-66)/(-8) + (-3)/12. Suppose r*x = b - 134. Calculate the remainder when x is divided by 5.
4
Suppose 87*o - 26895 = 32*o. What is the remainder when o is divided by 29?
25
Let i = 123 + -171. Let c = i - -133. What is the remainder when c is divided by 29?
27
Let i(m) = 4*m + 1. Suppose -4*p + 1125 = -5*c, p + 5*c - 140 = 135. Let d = 403 - p. Calculate the remainder when d is divided by i(5).
18
Suppose -220 = -5*g - 5*l, -2*g + 17 + 79 = -2*l. Let b(m) = -5493*m - 16250. Calculate the remainder when b(-3) is divided by g.
45
Let k = -10661 + 10703. What is the remainder when 1157 is divided by k?
23
Let t = 134 + 1. Let j(q) = -q**3 + 10*q**2 - q - 26. Suppose -7*a + a + 54 = 0. What is the remainder when t is divided by j(a)?
43
Let a be 37810/17 - (-3)/408*-16. Let i = 3548 - a. Calculate the remainder when i is divided by 78.
76
Suppose 0 = -0*s - 11*s + 1133. Suppose 2*o - i + s - 430 = 0, -2*o = -2*i - 326. Calculate the remainder when o is divided by 56.
52
Let r(h) = 3*h**2 - 14*h + 47. Let a be r(5). Suppose -5*z + 130 = 5*m - 7*m, 2*z + m - a = 0. What is the remainder when 96 is divided by z?
18
Calculate the remainder when ((-6512)/(-160) + 13)*10 is divided by 106.
7
Let s(r) = -364*r - 18. Let g be s(-1). Let q = -272 + g. What is the remainder when q is divided by 21?
11
Let f be 1635/75 + (-1)/(-5). Suppose 2*d - f = -2*o - 0, -d = 4*o - 32. Calculate the remainder when o is divided by 2.
1
What is the remainder when 4673 + (24/(-8))/(-6 + 7) is divided by 73?
71
Let i(c) = 2*c**2 + c - 15. Let a = -24 + 74. Suppose -32 = -a*n + 49*n. What is the remainder when i(9) is divided by n?
28
Let z be (-972)/(-504) - (-1)/14. Suppose b - z*m = -m + 38, 3 = 3*m. Suppose -20 = 2*y - 4*y. Calculate the remainder when b is divided by y.
9
Let l be ((-10)/6)/(6/(-18)). Suppose 4*o = -0*v - 2*v + 70, 3*v = -l*o + 88. Calculate the remainder when 2952/(-9)*7/(-28) is divided by o.
14
Let g = -674 + 670. What is the remainder when 414 is divided by g/3*15/(-10) + 30?
30
Let q = -383 + 460. Suppose 2 = -h + q. Calculate the remainder when 216 is divided by h.
66
Let x = -192 + 214. Suppose -36*f = -34*f - x. Calculate the remainder when 75 is divided by f.
9
Let n(k) = -k**3 + 6*k**2 - 7*k + 16. Let d(r) = -r**3 - 6*r**2 + 12*r + 22. Calculate the remainder when d(-8) is divided by n(5).
0
Let d(a) = -a**3 + 22*a**2 - 94*a + 7. What is the remainder when 1708 is divided by d(9)?
210
Suppose 5*u = 2*t - 2208, 52*t + 2206 = 54*t - 4*u. Calculate the remainder when t is divided by 141.
112
Suppose 808 = -18*w - 1946. Let i = w + 208. Calculate the remainder when 105 is divided by i.
50
Suppose -20*h = -2*l - 24*h + 918, 16*l = 2*h + 7242. What is the remainder when l is divided by 103?
41
Let u(t) = 297*t + 10. What is the remainder when 537 is divided by u(0)?
7
Let z = 2316 - 2204. Let r(p) = -p**3 - 4*p**2 - 12*p - 8. What is the remainder when z is divided by r(-3)?
17
Let o(z) = 7*z**3 - z**2 + 22*z + 48. Let d be o(-4). What is the remainder when -7*(-12)/d + 199/6 is divided by 7?
5
Suppose -3*o = 3 - 9. Suppose -4*c - o*f = -33 - 71, -3*c + 88 = -f. Suppose 7028 + 7720 = 159*s - 2424. Calculate the remainder when s is divided by c.
24
Let y = 15474 - 15318. What is the remainder when y is divided by 5?
1
Let h(x) = 14*x - 66. Let q(i) = -8*i + 22. Let c be q(2). Calculate the remainder when 50 + 1/(-1)*-1 is divided by h(c).
15
Let r be 5*(-7 + 6) + -1359. Calculate the remainder when 42 is divided by (r/(-310))/(2/10).
20
Suppose 44 = -29*a + 131. Suppose -a*z - 108 = -9*z. Calculate the remainder when 63 is divided by z.
9
Suppose y = -4*i - 64, -2*y = -i - 6*y - 16. Let r(x) = x**3 + 17*x**2 + 4*x - 94. Calculate the remainder when r(i) is divided by 33.
32
Let v(t) = -44*t - 350. Suppose -2*l = -0*n + 5*n - 169, -5*n = -4*l - 187. Suppose -5*r + 25 = -n. Calculate the remainder when v(-9) is divided by r.
10
Let x = -1491 - -1502. What is the remainder when 76 is divided by x?
10
Let f = -14718 - -14782. Calculate the remainder when 2689 is divided by f.
1
Suppose 2*o = -0*o + 23 - 3. What is the remainder when 187 is divided by o?
7
Suppose 60*s - 96*s - 4690 = -974*s. Let d be (0 - 1/(-2))*-6. What is the remainder when ((-81)/(-12))/(d/(-8)) is divided by s?
3
Let w(i) = i**2 + 1. Let v be w(-2). Calculate the remainder when 282 is divided by v/(180/(-8)) - (-13000)/180.
66
Let s be 0 - (1 - -2) - -2. Let y be 109 - (-3 - -1)*s. Suppose y = z + 32. What is the remainder when z is divided by 19?
18
Let b = -3373 - -5031. What is the remainder when b is divided by 26?
20
Suppose -j + 2 = 2 - 22. Calculate the remainder when 603 is divided by j.
9
Let q = 235 + -227. Suppose -6*o + q + 334 = 0. What is the remainder when o is divided by (-10)/4*3*-2?
12
Let u(t) = t**3 - 4*t**2 - 2*t + 11. Let v be u(4). Suppose 5*f = 2*i + 36, -f = 3*i - 0 + v. What is the remainder when 29 is divided by f/(-21) - (-256)/14?
11
Suppose -k + 21 = 2*z - 4, 69 = 5*z - 4*k. What is the remainder when 19 is divided by z?
6
Calculate the remainder when 2297 is divided by 34400/(-1290)*9/(-5).
41
Suppose -5*g = 15 - 350. What is the remainder when g is divided by 26/39 - ((-840)/(-9))/(-4)?
19
Let z(j) = 270*j + 115. Let p be z(-4). Let a = p - -981. Calculate the remainder when 61 is divided by a.
13
Suppose 5*o + 105 = 2*f + 2*f, -3*o + 22 = f. Let i(c) = 2*c**3 + 3*c**2 + 4*c + 5. What is the remainder when i(4) is divided by f?
22
Suppose 2*h - 62 = x, -3*h + 4*x + 106 = 3. Suppose -5*u + 436 = 3*i, -19*i + 8*i = -77. What is the remainder when u is divided by h?
25
Let g(i) = -3*i**2 + 32*i - 9. Let n(j) = -j**3 - j**2 - 6*j + 3. What is the remainder when g(6) is divided by n(-3)?
36
Suppose 0*o - 2*k - 13 = -5*o, -2*k = -3*o + 7. Suppose 3 = -5*p + 78. Calculate the remainder when p is divided by o + 1 - 3/3.
0
Let z(l) = -2193*l - 20. What is the remainder when z(-1) is divided by 39?
28
Suppose o - 228*b - 317 = -224*b, -6*o - 5*b = -1931. Let s = -9 + 63. What is the remainder when o is divided by s?
51
Let j(l) = -l**2 + 8*l + 2. Let k be j(8). Suppose -u = -k*u + 9. Suppose 29 = n + 22. Calculate the remainder when u is divided by n.
2
Let g = 1138 + -671. Let n = g - 455. What is the remainder when 80 is divided by n?
8
Let j = -2 - -9. Let k(m) = 7*m**2 - 6*m - 3. Suppose -535 - 4805 = -89*a. Calculate the remainder when k(j) is divided by a.
58
Suppose -87 = 4*n + 3*y, -2*n - 3*y = n + 66. Let j = n - -40. Suppose 5*m - 65 = -5*c, -5*m = -4*c - 0*m + 52. Calculate the remainder when j is divided by c.
6
Let f = 480 + -690. Let x = f - -257. Calculate the remainder when x is divided by 17.
13
Suppose -4*b + 83 = x, 2*x - 14 = -b + 4*x. Let y(p) = 43*p - 13. Let g be y(-2). Let n = g + 158. What is the remainder when n is divided by b?
19
Suppose -244630 = -424*i + 863706. Calculate the remainder when i is divided by 18.
4
Let z(b) be the first derivative of b**2/2 + 85*b + 96. Calculate the remainder when 553 is divided by z(-48).
35
Let z = -171 + 171. Suppose z = -4*v + 7*v - 3*s - 249, 2*v - 166 = -4*s. Calculate the remainder when v is divided by 30.
23
Suppose -l = 2*s + 3*s - 218, -4*s = 2*l - 178. Suppose 0 = -1293*w + 1289*w - 1052. Let v = 274 + w. What is the remainder when s is divided by v?
10
Suppose 0 = 3*f - 5*p - 27, 0 = -f - 2*f - 2*p + 48. Suppose -2*q + 4 = -0. Suppose 0*y = q*y - 78. What is the remainder when y is divided by f?
11
Suppose 0 = 2*z + 93 + 71. Let x = z - -151. What is the remainder when 130 is divided by x?
61
Suppose 0 = x - 3*a + 23, x - 3*a + a + 24 = 0. Let h = 98 + -48. Let t = h + x. What is the remainder when t is divided by 14?
10
Suppose -5*q = -4*y - 1302 - 3633, 7*y = 4*y. What is the remainder when q is divided by 23?
21
Let w = -171 + 196. Let n = -166 - -237. What is the remainder when n is divided by w?
21
Let l be -2*3108*1*15/24. Let i = -2067 - l. Calculate the remainder when 1/((-6)/(-8))*i/12 is divided by 41.
38
Calculate the remainder when 2340 is divided by 2716*(-35)/(-2940) - ((-5)/3 - -1).
30
Let t(r) = 4*r**2 + 11*r**2 - 3 + 7 - 5. Let d be t(-1). What is the remainder w