ivided by a?
8
Let s(d) = -4*d**3 + 19*d + 6. Let m be s(4). Let n = -172 - m. Calculate the remainder when 17 is divided by n.
1
Let z(m) = 22*m**2 + 8*m - 2. Calculate the remainder when ((-5)/15)/(1/(-639)) is divided by z(-1).
9
Let g = -94 + 230. Suppose -g + 408 = 16*f. What is the remainder when 56 is divided by f?
5
Suppose 3*h - 4*d = -9*d + 41, -3*d = 5*h - 47. Let l = 16 + -6. What is the remainder when -46*(2 - l/4) is divided by h?
2
Let k(q) = 50*q - 1043. Calculate the remainder when 969 is divided by k(21).
3
Suppose 4*o - 3*z = 723, 2*z = -2*o + 6*o - 722. Suppose -3*w = -0*w - o. What is the remainder when w is divided by 16?
12
Suppose 154 = 33*o - 11*o. What is the remainder when 18 is divided by o?
4
Let l(u) = -3*u + 12. Let d = -1 + 19. What is the remainder when l(-9) is divided by (3 - (-3)/3) + (d - 16)?
3
Suppose -5*s = -2*n + 12, -s - 2*s = -6. Suppose n*o - 182 = -2*o. Let v(b) = b**2 - 10*b - 32. Calculate the remainder when 116 is divided by v(o).
20
Suppose 23*r - 34*r + 3355 = 0. Let x = r + -271. Calculate the remainder when 49 is divided by x.
15
Suppose 4*h - 183 = -5*i - 39, 3*i - 144 = -4*h. Let u(k) = -1991*k - 77528. What is the remainder when u(-39) is divided by h?
13
Suppose 552 - 6621 = -289*a. Calculate the remainder when 121 is divided by a.
16
Let d be ((-4)/(-2))/(-3*(-1)/3). Let u(m) = 63*m + 43. What is the remainder when u(d) is divided by 29?
24
Let w(a) = 37*a**2 - 5*a**2 - 7*a - 710*a**3 - 7*a - 284 + 711*a**3. What is the remainder when w(-32) is divided by 11?
10
Let v(o) be the third derivative of o**5/60 + o**4/2 + 15*o**3 - 62*o**2. Calculate the remainder when v(-12) is divided by 36.
18
Let n be (40/(-25))/4*-5. Let g be 7/(n + -1)*-1. Let i = g - -41. What is the remainder when i is divided by 12?
10
Suppose 330*d + 5*o = 332*d - 24, 60 = 2*d + 4*o. Suppose 6*z - z = 3*a + 421, z - 5*a = 71. What is the remainder when z is divided by d?
20
Let i be ((-8)/(-12)*1)/(4/54). Suppose -i*d - 9*d + 738 = 0. What is the remainder when 204 is divided by d?
40
Suppose 6*y - 220 = 548 - 12. Suppose 5 = r + 4*a + 10, r - 4*a = 27. Calculate the remainder when y is divided by r.
5
Suppose -4*z + 779 = 579. Suppose 0 = -10*v + 7*v - 807. Let a = 466 + v. Calculate the remainder when a is divided by z.
47
Let i(c) = -c**2 + 2*c + 14. Let k be i(-6). Let o = 38 + k. Suppose 306 = 2*f + o*f. What is the remainder when f is divided by 15?
6
Let f(r) = -5*r**3 + 20*r**2 + 90*r + 1. What is the remainder when f(-4) is divided by 16?
9
Let l be (0 + 3)/(18/(-360)). Let w = -7 - 57. Let n = l - w. What is the remainder when 5 is divided by n?
1
Suppose 86*p - 65709 - 240193 = 0. Calculate the remainder when p is divided by 17.
4
Let b = 3730 - 3621. Calculate the remainder when b is divided by 28.
25
Let o(n) be the third derivative of -n**6/60 + 11*n**5/60 + 3*n**4/8 - n**3/2 + 2*n**2 - 36*n. Calculate the remainder when 209 is divided by o(6).
14
Suppose -3*w = -14*w + 187. Calculate the remainder when 122 is divided by 5 + 0 + 5 + w.
14
Let x(g) = 2*g**2 - 3*g + 2. Let o(b) = 2*b**2 + 9*b - 16. Let j be o(-6). Let p be x(j). Calculate the remainder when 69/p - 0 - 19/76 is divided by 9.
8
Let v(k) = -k + 2. Let d be v(0). Suppose 4*u - d*u = -102. Let l = u + 109. What is the remainder when l is divided by 15?
13
Let x = 1128 + -468. Suppose -c + 5*f + 165 = 0, -4*c + 6*f = 10*f - x. What is the remainder when c is divided by 42?
39
Let y(k) = -2*k**2 - 54*k + 16. Let o be y(-26). Let f = -71 + o. Calculate the remainder when 18 is divided by 12 - (10 + f - (4 - 1)).
2
Let v(a) = -16*a**3 + a**2 - 7*a + 11. Let c be v(2). Let l = 9 - c. Calculate the remainder when l is divided by 24.
16
Let j = 998 - 282. Suppose -3*i - i + j = 0. Calculate the remainder when i is divided by 12.
11
Suppose 4*f - 544 = 4*h, 2*f = h - 2*h + 263. Let d = -128 + 192. Let m = d - 37. Calculate the remainder when f is divided by m.
25
Calculate the remainder when 2050 + 4 + 115/23 is divided by 128.
11
Let w = 48 - -115. What is the remainder when w is divided by -66*(2 + (-45)/18)?
31
Let x be (320/(-50))/(48/(-15) + 3). Suppose -23*n - 477 = -x*n. Calculate the remainder when n is divided by 64/10 + (-4)/10.
5
Suppose -121 = 4*r - 4*w + 3*w, 3*r = 2*w - 92. Suppose 3*x - 148 = x. Let a = x + r. What is the remainder when a is divided by 15?
14
Suppose -5*y + 205 = 2*r - 211, y - 3*r - 90 = 0. Suppose -11*j - 10*j = -y. What is the remainder when 13 - (1 - (1 - 0)) is divided by j?
1
Suppose 1374*q - 1589*q + 3870 = 0. What is the remainder when 81 is divided by q?
9
Suppose 464 = -90*o + 88*o. Let a = -161 - o. Calculate the remainder when a is divided by 9.
8
Let f = -40 - -39. What is the remainder when ((-1 - 167)/4)/(-1) is divided by -1 + (-2 - (f + -13))?
9
Suppose 89*q + 2976 = 113*q. What is the remainder when q is divided by 1*1/(-4) - (-342)/24?
12
Suppose -5*a = 1993*k - 1990*k - 57, 0 = -2*k + 2*a + 6. Let d(w) = 27*w**3 + 2*w**2 - 2. What is the remainder when d(2) is divided by k?
6
Let z = 1191 - 207. Calculate the remainder when z is divided by 33.
27
Let o = -27 + 68. Let i be (5/10)/(2/20). What is the remainder when o is divided by i/3*-1*(-96)/80?
1
Suppose 16 = -4*l + 5*p, -23*p = 4*l - 17*p - 28. What is the remainder when 120 is divided by l?
0
Suppose -125*m = -222*m + 45396. What is the remainder when 1065 is divided by m?
129
Let d(z) be the third derivative of -5/12*z**4 + 0 - 5/2*z**3 - 1/60*z**5 - 37*z**2 + 0*z. What is the remainder when 48 is divided by d(-5)?
8
Suppose 3*o - 4*l - 43 = 120, -l + 52 = o. Calculate the remainder when 1540 is divided by o.
3
Suppose 2*w - 6 = 3*o, -2*o = -4 - 0. Suppose 0 = w*q - 289 - 23. Calculate the remainder when q is divided by 7.
3
Let w(b) = -b**3 + 7*b**2 - 5*b - 1. Let a be w(4). Let y = a - 18. Suppose 0 = y*o + 4*o - 1001. What is the remainder when o is divided by 27?
23
Let g(o) = 5*o**2 + 37*o. Let x be g(-12). Let m = x - 269. What is the remainder when 76 is divided by m?
6
Suppose 0*s - 133 = -7*s. Suppose -3*m + 1210 = s*m. Calculate the remainder when 604 is divided by m.
54
Suppose 4*q - 2*o - 79178 = 0, 2*o - 40622 = -2*q - 1042. Calculate the remainder when q is divided by 107.
105
Let r(m) = -m**2 + 127*m - 3808. What is the remainder when r(52) is divided by 59?
33
Let v be 426/4 - 2/(-4). Suppose 23 - v = 2*m. Let b = 51 + m. What is the remainder when b is divided by 5?
4
Let g(m) = -m**2 - 29*m + 73. Let v = -45 + 51. What is the remainder when 24/(-36) + 256/v is divided by g(-31)?
9
Suppose 40 = 15*f - 20*f, 4*f = -3*h + 199. Let x(w) = -224*w + 1. What is the remainder when x(-1) is divided by h?
71
Let i = -91 + 95. Suppose o - 51 = -5*l + 24, -2*o - 60 = -i*l. What is the remainder when 89 is divided by l?
14
Suppose -4*m + 3*a = -31, 2*m + 2*m - 36 = 4*a. Suppose 24 = m*t - 4. Let z(g) = -g**3 + 8*g**2 + 3*g - 11. Calculate the remainder when z(t) is divided by 31.
28
What is the remainder when (6/(-16))/((-79)/(-1896)) + 5758 is divided by 230?
229
Let y = -284 + 483. Suppose -4*n - z + y = 0, -3*z + 47 = -2*n + 3*n. Calculate the remainder when 95 is divided by n.
45
Let w(z) = 7*z**3 - 98*z**2 - 2*z + 36. What is the remainder when 3215 is divided by w(14)?
7
Calculate the remainder when 1131 is divided by (19 + -2)/(1*(1224/(-176) - -7)).
9
Let w(o) = -o**2 - 99*o + 3564. Calculate the remainder when w(27) is divided by 144.
18
Let i(o) = 26*o + 20. Let g(x) = -52*x - 41. Let f(p) = -6*g(p) - 13*i(p). Let c be f(-7). Let s = -151 + c. Calculate the remainder when s is divided by 7.
3
Let r be 1494/(-42) + 9 - (-3)/(-7). What is the remainder when (12768/r)/(-4) - 8/36 is divided by 4?
2
Let l be (-18)/36*2*4 - 536. What is the remainder when 6 is divided by (4/18)/((-30)/l)?
2
Suppose 2*a - 3 = 4*t - 25, 5*t + 3*a = 11. Suppose 4*o - 120 = -t*o. Calculate the remainder when (-1)/2*(-2 + -72) is divided by o.
7
Let c(s) = -6*s**2 + 113*s - 3. Let k be c(6). Suppose -7*d - 3*g + k = -2*d, 2*d - 186 = -2*g. Calculate the remainder when d is divided by 7.
6
Suppose -s = 2*y - 15, s - 5*y - 2 = -8. Suppose s*v + 0*v + 126 = 0. Let z(b) = b + 29. Calculate the remainder when z(v) is divided by 9.
6
Suppose -3284 = -4*k + 4