by a(f)?
6
Suppose 4*a - 356 - 20 = 0. Let y = a - 85. Calculate the remainder when 1261/52 - (-2)/(-8) is divided by y.
6
Let g = 58 - -19. Suppose -8*l = 3*l - g. What is the remainder when 10 is divided by l?
3
Suppose -5*p = 3*d - 4*p - 1675, -4*d + 5*p = -2208. Calculate the remainder when d is divided by 69.
5
What is the remainder when 109 is divided by 201/12 - (-3)/(-4)?
13
Let b(f) = -f - 53. Let p be b(-7). Let c = p + 61. Calculate the remainder when 1475/c - 10/(-6) is divided by 28.
16
Let s(i) = -5*i - 7. Let r be s(0). Let l(d) = d**3 + 6*d**2 - 10*d - 10. Calculate the remainder when (-528)/(-14) - (-2)/7 is divided by l(r).
5
Suppose 18*j - 23609 - 28069 = 0. What is the remainder when j is divided by 8?
7
Let q(j) be the third derivative of 7*j**4/24 - 2*j**3/3 + 14*j**2. What is the remainder when q(7) is divided by ((-69)/(1 - -2))/(-1)?
22
Suppose -25 = 2*t - 3*d, 5*t + 0*t + 66 = 4*d. Let i(a) be the second derivative of a**3/2 + 31*a**2 + 15*a. Calculate the remainder when 51 is divided by i(t).
11
Let q = -25 - -15. Suppose -2*s + 8*f = 13*f + 3, 4*s = f - 17. What is the remainder when 25 is divided by s - (-5)/(q/(-42))?
8
Let q(b) = -4*b + 36. Let v be q(8). Suppose v = 2*i - 0. Suppose -2*f = -2*y + 36, 4*y + i*f - 24 = 2*y. What is the remainder when 38 is divided by y?
8
Suppose 0 = -2*l - 2*l + 8*b + 1860, 1449 = 3*l + 3*b. Calculate the remainder when l is divided by 244.
233
Suppose 147 + 14 = 7*q. Calculate the remainder when 220 is divided by (-8)/14 + q/((-805)/(-510)).
10
Suppose -95*w + 53436 = 27*w. Calculate the remainder when 1317 is divided by w.
3
Let u(z) = 2*z**3 + 4*z**2 + 12*z + 24. Let y be u(-5). Let n = y - -221. Calculate the remainder when 383 is divided by n.
33
Let s(d) = -3 + 72*d + 30*d + 2. Suppose 4*w + 5309 - 5479 = -w. What is the remainder when s(1) is divided by w?
33
Let l be -3 + (-10 - -2)/(4/166). Let x = l - -344. Calculate the remainder when 33 is divided by x.
6
Let y = 5138 - 5019. Calculate the remainder when y is divided by 79.
40
Suppose 0 = -2*r + 8, -30*r = 3*t - 35*r - 49. Suppose -2*q + 376 = -32. Calculate the remainder when q is divided by t.
20
Let b(g) = g**3 + 10*g**2 + 3*g + 32. Let a be b(-10). Suppose -v - 2 + 10 = -a*f, -35 = -4*v + 5*f. Calculate the remainder when v is divided by 7.
3
Let h(b) = -2*b**3 + 14*b**2 + 9*b - 15. Calculate the remainder when 601 is divided by h(3).
13
What is the remainder when -1143*(-8 + 427/63) is divided by 56?
53
Let q(v) = -v**2 + v + 3. Let s be q(3). Let h be 18/12*(38/(-6) - -5). Calculate the remainder when 5 is divided by h/s*117/26.
2
Suppose 4*z = 3*r - 16085, -r - 3*z = -2471 - 2921. Calculate the remainder when r is divided by 1787.
10
Let d = -2128 + 3137. Let s = d - 990. What is the remainder when -3*((-50)/3 + -2) is divided by s?
18
Suppose 3*q + 515 = 4*i, -4*i + 5*q - 296 = -821. What is the remainder when 368 is divided by i?
118
Suppose 45*g + 651 = 66*g. What is the remainder when 365 is divided by g?
24
Suppose -5*r = 19*r + 1028 - 5804. Calculate the remainder when 404 is divided by r.
6
Let w be -1 - (-1 + -4 - (490 - -10)). Suppose -279*v + w = -272*v. Calculate the remainder when 276 is divided by v.
60
Let y(k) = k**2 - 90*k + 644. Calculate the remainder when (52 - 2)*(1 - -4) is divided by y(7).
61
Suppose 0 = 2*y - 4*y - 10. Let v be ((-36)/(-15))/(y/(-150)). What is the remainder when v*(0 - (-6)/8) is divided by 19?
16
Let o = 367 - -121. Let v = o - 471. What is the remainder when 49 is divided by v?
15
Suppose -q + 41 = 3*l - 0*l, -65 = -3*l + 5*q. Suppose 8*z + 267 = 9*z. Suppose 24*v = 27*v - z. Calculate the remainder when v is divided by l.
14
Let x be (27 - -3 - 2) + 0. Suppose -4*w + 0*w - x = -4*i, 47 = 5*i + w. Suppose -221*l = -218*l - 75. Calculate the remainder when l is divided by i.
7
Suppose 15257 = 55*o - 8283. Calculate the remainder when o is divided by 144.
140
Suppose -5*c = -19*c + 84. Suppose c*a - 120 = -6*a. What is the remainder when ((-8)/4)/((-7)/(4445/10)) is divided by a?
7
Suppose 5*y + 1003 - 261 = 4*f, -5*f = -5*y - 935. Calculate the remainder when 212 is divided by f.
19
What is the remainder when 14338 is divided by 59 - 25 - (-42)/(-2)?
12
Suppose -96*a + 77*a + 950 = 0. Suppose -24 + 3 = -3*r. Suppose -r*b + a = -2*b. Calculate the remainder when 37 is divided by b.
7
Suppose 595 = -0*v + 5*v. Suppose 0 = -7*u - v - 49. What is the remainder when 31 is divided by ((-2)/2)/((5 - -1)/u)?
3
Suppose 695 + 901 = 114*s. What is the remainder when 204 is divided by s?
8
Let f = -292 - -315. Suppose 556 + 847 = f*h. Suppose 0 = i - 3*i + 64. Calculate the remainder when h is divided by i.
29
Suppose 5*k - 5808 = -1383. Suppose -m + 283 = 2*l, -3*m + k = 28*l - 31*l. What is the remainder when m is divided by 49?
46
Let g(q) = 8*q - 33. Let b be 3*(-1)/((-2)/(-6)). What is the remainder when g(10) is divided by 30*(24/b - (1 + -4))?
7
Calculate the remainder when 13733 is divided by (-740)/(-1850)*(-505)/(-2).
98
Let d = 162 - 75. Let l(t) = t**2 - 4*t - 4. Let k be l(5). What is the remainder when d is divided by (1 - (1 + k))*-10?
7
Suppose 9*n - 6*n + 4*q + 378 = 0, 0 = -2*n - 4*q - 252. Let h(u) = 6*u + 3. Calculate the remainder when h(4) is divided by (-60)/(-4)*(5 + n/30).
3
Calculate the remainder when (-2169101)/(-88) + 2/16 is divided by 27.
25
Let r = -322 - -482. Let g = 95 + -54. Calculate the remainder when r is divided by g.
37
Suppose 1753 = m + 1742. What is the remainder when (-438)/(-4)*4/6 is divided by m?
7
Calculate the remainder when (3 + -1)*(9 - -1272) is divided by 19.
16
Let s(y) be the first derivative of y**4 - 4*y**3/3 + 17*y**2/2 - 46*y + 41. Calculate the remainder when s(4) is divided by 36.
34
Suppose 14 = -2*o + 4*n, -5*o + 34 = n - 8. Calculate the remainder when 297 is divided by o.
3
Suppose 89*m - 116808 = -97*m. What is the remainder when m is divided by 77?
12
Suppose 3*m = 9 - 0. Let a(h) = 5*h**2 - h - 5. Let n(r) = r**3 - r**2 + r + 1. Let b(j) = a(j) - n(j). Calculate the remainder when 50 is divided by b(m).
5
Let r(f) = 17*f**2 - 5*f**3 - 9*f**2 + 4*f**3 + 1 - 9*f. What is the remainder when (-246)/(-6) + -7 + -1 + (-4 - -1) is divided by r(6)?
11
Suppose -3*h = -j + 567, -2*h - 5*j - 205 = -h. Let w = -104 - h. What is the remainder when w is divided by 9?
5
Let z(b) = -b**2 - b + 5. Let c be z(0). Suppose -c*d + 20 = 0, a - 31 = -2*d + d. Let q = 53 + a. What is the remainder when q is divided by 27?
26
Let z(r) = -64*r**2 - 396*r + 9. Calculate the remainder when 158 is divided by z(-6).
77
Suppose 5*t - 5 = -2*w, -4*w + 0*w = -2*t + 50. Calculate the remainder when -2 - (w/6)/(2/474) is divided by 66.
63
Suppose 0 = 2*y + 4*t - 252, -4*y - t = -3*t - 524. Let n be -939*(-3)/45 + (-4)/(-10). Let x = -19 + n. What is the remainder when y is divided by x?
42
Suppose -232 = -z - 7*z. Let p(v) = v + 9. Let n be p(-4). Suppose -8 = n*g - 48. What is the remainder when z is divided by g?
5
Let i = 16 + -16. Suppose 5*w - 3*q - 47 = i, -5*w + 2*q = -32 - 11. Suppose -4*n - 441 = -w*n. What is the remainder when n is divided by 37?
36
Let s(i) = 1149*i - 849. Calculate the remainder when 904 is divided by s(1).
4
Calculate the remainder when 125 is divided by (20/(-15))/(294/(-288) + 1).
61
Suppose k + 2*z = 0, 3 = 2*k - 0*z + z. Suppose -q + 23 = -3*m - 0*q, -4*m = -k*q + 34. Calculate the remainder when 89 is divided by m*(-1 + -1)/(20/30).
17
Let i = -3185 - -8070. Calculate the remainder when i is divided by 104.
101
Let x = -27 - -41. Let l = 9606 - 9599. What is the remainder when x is divided by l?
0
Suppose -5*d - 5*k = -655, -2*d + 2*k = -27 - 255. What is the remainder when d is divided by 134?
2
Let y = 57488 + -41345. Calculate the remainder when y is divided by 6.
3
Suppose 36 = -10*z + 19*z. Suppose z*a + a = 5*h + 35, 5*a - 31 = 4*h. Let y(p) = 2*p**3 - 4*p**2 + 5*p - 2. Calculate the remainder when y(2) is divided by a.
2
Suppose y - h - h - 4 = 0, 0 = 4*y + 2*h - 36. Let j be 23/y - 2/(-16). Calculate the remainder when 17 is divided by -5*1*j/(-3).
2
Suppose -115 = -b + 2*a, 0 = 57*b - 61*b - 3*a + 427. Calculate the remainder when b is divided by 28.
25
Let m be 279*(2/4 - (-20)/24). Let w = 652 - m