pose 65 = 9*d - x. Calculate the remainder when 77 is divided by d.
7
Let y(m) = 2*m**3 + 16*m**2 + 10*m - 4. Let u be y(-7). Suppose -25*h + u*h = -135. Calculate the remainder when h is divided by 34.
33
Suppose -18*q + 25*q = 21. Suppose 11*w = q + 162. Calculate the remainder when 38 is divided by w.
8
Suppose 10*j = -457 + 3897. Let r = 415 - j. Suppose 12 = -5*i + 102. What is the remainder when r is divided by i?
17
Suppose -47*b + 10*b = -16724. Let t = 514 - b. What is the remainder when t is divided by 7?
6
Suppose 44*b = 735 + 761. What is the remainder when 357 is divided by b?
17
Let r(i) = -2*i**3 - 11*i**2 - 31*i - 6. Let f be r(-6). Let o = f + -212. Suppose -6 = -3*n + 3. What is the remainder when o is divided by n?
1
Let u = -147 + 142. Let m(f) = 2*f**2 + 1. Calculate the remainder when (-2)/u + 363/55 is divided by m(1).
1
Suppose 199*q = -111*q + 8*q + 7248. Let v(l) = -173*l**3 - l**2 + 1. Let i be v(1). Let b = -105 - i. What is the remainder when b is divided by q?
20
Let f be 4/1*(1 - (-2)/(-4)). Suppose -5*x = -4*p + 53, -5*p + 82 = -3*x + f*x. Calculate the remainder when 236 is divided by p.
15
Calculate the remainder when -254*(-31)/((-1488)/(-168)) is divided by 293.
10
Suppose 5*l + 0 = 5. Let p = 3 + l. Let c = 11 - -8. What is the remainder when c is divided by p?
3
Let m = -162 + 239. Let d = m - 49. Calculate the remainder when 100 is divided by d.
16
Suppose 0 = 3*s + 22 - 61. What is the remainder when (-21)/(-2)*7/(196/48) is divided by s?
5
Calculate the remainder when (5/((-150)/18))/((-12)/9480) is divided by 10.
4
Let p(m) = 17*m + 6. Let r be 5 + (4/3)/((-4)/(-9)). Calculate the remainder when p(r) is divided by 44.
10
Let q = -7 - -60. Suppose 4*o - 11 = -r, 4*o + 29 = 25. Calculate the remainder when 0 - (0/1 - q) is divided by r.
8
Let j = 19594 - 17359. What is the remainder when j is divided by 551?
31
Suppose -15*l + 31*l - l - 4995 = 0. What is the remainder when l is divided by 62?
23
Let u(t) = 3*t**2 - 14*t + 99. Let q be u(9). Calculate the remainder when 188 is divided by (-5 - 1)*28*(-63)/q.
41
Let a(i) = -6*i**3 + 12*i**2 + 35*i + 4. What is the remainder when a(-5) is divided by 15?
9
What is the remainder when 597 is divided by 8/64 - (-3836)/32?
117
Let s = -115024 + 115049. Calculate the remainder when 38 - ((-2 - -3) + 1) is divided by s.
11
Let c = 15977 - 15859. What is the remainder when 538 is divided by c?
66
Suppose v + 5*d - 81 = -23, 0 = 2*d - 2. Calculate the remainder when 1534 is divided by v.
50
Suppose -39*h + 37*h + 3*r + 60 = 0, -h - 4*r = -19. Let q(v) = -v**2 - 10 + 0*v - 5*v + 4*v**2 + 3*v**2. What is the remainder when q(-4) is divided by h?
25
Suppose -288 = -6*i - 0*i. Let f be ((-4)/(-10))/((-6)/180). Let n = f + i. What is the remainder when n is divided by 13?
10
Let l(b) = -86*b - 882. Calculate the remainder when l(-11) is divided by 47.
17
Let r(z) = 8*z - 59. Let i be (33 - -5)*6/4. Let k = -48 + i. Calculate the remainder when 47 is divided by r(k).
8
Suppose 2*y - y = 7. Let f(k) = -6*k - 32. Let r be f(-6). What is the remainder when (y/(-1))/(r/(-8)) is divided by 4?
2
Suppose 6*n = 2*n + 12. Let d(i) = i**2 - 5*i - 11. Suppose -40 = -g - 33. What is the remainder when d(g) is divided by n?
0
Let z = 473 - 942. Let r = -444 - z. Calculate the remainder when 72 is divided by r.
22
Let y be (-4)/(-3 - 1) - 22. Let w be 4/28 + (-690)/y. Suppose 123 + w = 3*f. What is the remainder when f is divided by 9?
7
Let p(b) = b**3 + 44*b**2 - 49*b + 74. What is the remainder when p(-45) is divided by 78?
20
Let f = -1990 + 2112. What is the remainder when 958 is divided by f?
104
What is the remainder when (312/30)/((7/(-150))/(-7)) - -1 is divided by 50?
11
Suppose 112 - 122 = -5*k. Suppose 2*u - 535 = -3*u - 4*v, 0 = -k*u + v + 201. Suppose 4*t - 210 = -70. What is the remainder when u is divided by t?
33
Suppose -4*r = -7*r - n + 22, 0 = 3*r - 4*n - 32. Suppose -7*v + r = -125. Suppose 164 = 5*t - 306. What is the remainder when t is divided by v?
18
Let b(m) = m**3 + 120*m**2 - 132*m + 1196. Calculate the remainder when b(-121) is divided by 22.
19
Suppose 0 = -43*d + 6730 + 3031. What is the remainder when d is divided by 5?
2
Let u(w) = -w**2 - 8*w - 10. Calculate the remainder when 68/(-204)*(2 + -131 + -3) is divided by u(-4).
2
Let f = -996 - -1004. Calculate the remainder when 146 is divided by (440/f + -8)/1.
5
Suppose -54*x = -32*x - 39*x + 1122. Let m(q) = -q**3 - 2*q**2 - 7*q + 4. Calculate the remainder when m(-6) is divided by x.
58
Suppose 5*u + 2*w = 7691, -u - 5*w + 1503 + 72 = 0. Calculate the remainder when u is divided by 171.
167
Let s(a) = -1014*a + 91. What is the remainder when s(-3) is divided by 56?
53
Suppose -2*u = -5*u + 327. Suppose -171*s - 1265 = -194*s. What is the remainder when u is divided by s?
54
Suppose -9*q - 85*q + 9400 = 0. What is the remainder when q is divided by 30?
10
Let g = 4591 + -4575. What is the remainder when 3244 is divided by g?
12
Let i(t) = 87*t - 2432. Calculate the remainder when 40/6*3/2 is divided by i(28).
2
Let m = -13935 - -18736. What is the remainder when m is divided by 1599?
4
Suppose 3*g - 824 + 626 = -4*s, -2*g = -3*s + 123. Let n = -5 + -1. Calculate the remainder when s is divided by (-3)/(n/(-4)) - -10.
5
Let m = 4724 + -4689. Calculate the remainder when 1982 is divided by m.
22
Suppose 5*n = -3*n - 4*n + 156. What is the remainder when 528 is divided by n?
8
Suppose -8*j + 7 = -393. What is the remainder when 23*(1 + 2 - 4)*-6 is divided by j?
38
Suppose -5*m = -4*z + 20, -2*m - 37 = -5*z - 12. Suppose -145 - 43 = -4*r + 4*g, m = 3*g + 12. What is the remainder when 169 is divided by r?
40
Suppose 0 = 2*c + 3*c - 250. Let i be 0*4/8*(-3)/(-6). Suppose 3*q = -12, i = -d - 3*q + q + 11. Calculate the remainder when c is divided by d.
12
Suppose 13*n + 1296 = 25*n. Suppose 2*s - n = -2*s. Calculate the remainder when 90 is divided by s.
9
Let z(m) = m**3 - 2. Let y be (-2)/(-1*(-1 + 2)). Let x be z(y). Suppose -u = -3*u + x, -9 = -2*c - u. What is the remainder when c is divided by 2?
1
Let u(x) = -12*x**2 + 35*x + 5. Let f be u(3). Suppose -2*n + f*t = -54, 0*n + 39 = 2*n - 5*t. What is the remainder when n is divided by 26?
6
Let v(u) = -18*u**3 - 3*u**2. Let b be v(-2). Let x = b - 93. Let i = -869 - -1062. What is the remainder when i is divided by x?
37
Suppose -2*o + 5*s + 146 = 0, 280 = 4*o + 12*s - 16*s. Calculate the remainder when 286 is divided by o.
14
Suppose 5*t = -2*z + 131, 110 = 2*z + 21*t - 23*t. Suppose -3*c - 3*r = -2944 - 182, 3*c - 3126 = -r. What is the remainder when c is divided by z?
56
Suppose -11*i - 108 = -2*i. Calculate the remainder when ((-39)/(-2))/(i/(-40)) is divided by 14.
9
Let h(m) be the first derivative of m**3/3 + 2*m**2 - 56*m + 91. What is the remainder when 121 is divided by h(7)?
16
Calculate the remainder when 7827/24 + (114/(-16) - -7) is divided by 22.
18
Suppose 0*m = -3*w - m + 48, -4*w + 64 = -4*m. Calculate the remainder when 415 is divided by w.
15
Let a(j) = 13*j**2 - 11*j + 5. Let i be a(4). Let v = 248 - i. Calculate the remainder when v is divided by 27.
25
Let w = 20 + 54. Let i(x) = x**2 + 2. What is the remainder when w is divided by i(-5)?
20
Let j = -45 - -75. Suppose 3*a = x - 22, 3*x = a + j - 4. Suppose 4*p + 6 = z - 6, -3*p = 2*z - 35. Calculate the remainder when z is divided by x.
2
Let w(p) = -89*p - 330. What is the remainder when 3947 is divided by w(-4)?
21
Let z be (-18)/(-4) - (-9)/(-6). Suppose z*i + 3*q - 3 = 2*i, -q - 4 = 0. What is the remainder when 99 is divided by 5/(-2)*(5 - i)?
24
Let t = -3 + 5. Let v = 602 - 599. Suppose -t*k = -v*k + 158. What is the remainder when k is divided by 54?
50
Suppose 3*c = 1838 - 1778. What is the remainder when 71 is divided by c?
11
Suppose 13*j - 1544 = 510. Calculate the remainder when j is divided by 149.
9
Let g(i) = 340*i + 329*i - 2*i**2 - 981*i + 330*i. Calculate the remainder when 187 is divided by g(8).
11
Suppose -222*v + 2604 = -201*v. Calculate the remainder when 610 is divided by v.
114
Suppose 5*s - 1185 = -5*a, 29*a + 4*s = 26*a + 710. What is the remainder when 497 is divided by a?
21
Let q(i) = -160*i + 91. Let u(j) = 320*j - 179. Let k(f) = -13*q(f) -