n v(a) is divided by j?
2
Suppose -61*c = -81*c + 320. What is the remainder when 489 is divided by c?
9
Let d(p) = 3*p + 15. Let v be d(-4). Suppose -5*o = -4*h + 53, -v*h - o + 13 = -22. Calculate the remainder when h is divided by 11.
1
Suppose 204*p - 778357 = 99276 - 143845. Calculate the remainder when p is divided by 17.
10
Let d(q) = q**3 - 8*q**2 + 12*q - 11. Let b be d(7). Suppose -b = -5*t - 4, -148 = -2*k + 3*t. Calculate the remainder when k is divided by 12.
8
Suppose -2248 = -249*d + 257*d. Let t = d + 321. Calculate the remainder when t is divided by 7.
5
Suppose -4028 = -33*p + 4288. Suppose 2*t - 106 = -2*k, -4*k = 4*t + k - 214. What is the remainder when p is divided by t?
48
Let k be (1 - 4) + (549 - 2). Calculate the remainder when (3/(-2))/((-12)/k) is divided by (-6)/1 + (-66*4)/(-11).
14
Suppose -21*b - 25*b + 39600 = 9*b. What is the remainder when b is divided by 34?
6
Suppose 0 = -y + 33 - 31. Calculate the remainder when y/16 - (-4308)/96 is divided by 17.
11
Suppose 5 = -3*c - 7. Let y = 167 - 159. What is the remainder when (-83)/c - 12/16 is divided by y?
4
Let q(h) = 588*h + 1975. What is the remainder when q(7) is divided by 13?
7
Let d be (240/5)/(3/2). Let k = 64 - d. Suppose -13*g + g = -228. What is the remainder when k is divided by g?
13
Calculate the remainder when (34/(136/(-12)))/(3/(-194)) is divided by 47.
6
Let x(m) = m**3 - 6*m**2 - 2*m + 12. Let z be x(6). Let w be (1 - 0)/(4/136). Suppose z = 30*d - w*d + 44. Calculate the remainder when 52 is divided by d.
8
Let i be (-3)/(3 + 3)*-52. Let x = i + -15. Calculate the remainder when x is divided by (-6)/21 - ((-138)/(-14))/(-3).
2
Let t be (10 + (-147)/14)/((-2)/(-4)). Calculate the remainder when (-151)/(-755)*(-2705)/(t + 0) is divided by 32.
29
Let j be 632*5/(-25) + 4/10. Let w = -65 - j. Calculate the remainder when w is divided by 9.
7
Suppose 6*s - 12 = 3*s. Suppose 5*t = s*c - 9, 0*c + 2*c = 2*t + 2. Let z(b) = b + 18. Calculate the remainder when 39 is divided by z(c).
11
Suppose -7*o = -2*o - 840. Suppose k + 2*k = o. Suppose 2*y = -2*r + 44, -8*y + 29 = -6*y - 3*r. What is the remainder when k is divided by y?
18
Let i = 78 - 71. Let n be 1 + 1587/i + 62/217. Suppose h = -87 + n. What is the remainder when h is divided by 13?
11
Suppose -1160 = -10*y + 5*y. Suppose -4*u + 2*m = -464, -2*u + 0*u + 3*m + y = 0. What is the remainder when u is divided by 24?
20
Let r(d) = 15*d**2 + 4*d + 8. Let i(o) = -5 + 5 + 6*o**2 + 6 - 2*o. What is the remainder when i(4) is divided by r(-1)?
18
Let i(f) = -9*f + 146. Suppose 165 = 24*c - 75. What is the remainder when i(12) is divided by c?
8
Suppose 0 = 47*c + 472 - 10530. What is the remainder when c is divided by 20?
14
What is the remainder when 13 is divided by 30/(-24) - 221/(-52)?
1
Suppose -612 - 938 = -5*k - 5*r, 0 = -4*k - 9*r + 1250. What is the remainder when k is divided by 13?
9
Let u(a) = 17*a**3 - 7*a**2 + 6*a - 1. Let v be u(3). Suppose v = 9*z - 280. What is the remainder when z is divided by 25?
2
Let j(v) = 11*v - 9 - 14 + 1 + 4*v**2. Let l(z) = -3*z**2 - 11*z + 21. Let m(b) = -2*j(b) - 3*l(b). Calculate the remainder when m(-16) is divided by 31.
30
Suppose 3*o = -3*b + 103 - 1, 2*o = 3*b + 88. Suppose 2*p + 2*p = 52. What is the remainder when o is divided by p?
12
Suppose -q = 2*q - 612. Suppose 13*k - 4*k - 144 = 0. What is the remainder when q is divided by k?
12
Let x = -13 + 3. Let n = x + 88. Suppose 0 = 4*u - 1938 + 1826. What is the remainder when n is divided by u?
22
Let l be -14*((-72)/(-21))/4. Let n = 10 + l. Let z(v) = -11*v + 2. What is the remainder when 47 is divided by z(n)?
23
Let t be 1*2 - 0/(-4). Let x = 608 + -612. What is the remainder when 47 is divided by x - (-29 - (t - 3))?
23
Let b(n) be the first derivative of n**4/4 - n**3 - 3*n**2 + 6*n - 3. What is the remainder when (100/28)/((-31)/(-434)) is divided by b(5)?
24
Let r(o) = -4*o**3 - 18*o**2 - 75*o - 38. Calculate the remainder when 229 is divided by r(-3).
96
Suppose 2*u + 1062 = 2*p, -2 = -0*u - u. Calculate the remainder when p is divided by 59.
2
Suppose 3*y - 315 + 282 = -l, 0 = -3*l - 2*y + 78. Calculate the remainder when 37 is divided by l.
13
Suppose -5*r = 4*s - 18618, 3*r - 15653 - 7639 = -5*s. Calculate the remainder when s is divided by 53.
51
Suppose 45 = 8*x - 3*x. Suppose -4*o + 70 = 2*z, -2*z = 2 - 0. What is the remainder when x is divided by ((-9)/(-27))/(1/o)?
3
Calculate the remainder when 46 is divided by 3381/84 + (1 - 52/16).
8
Let a(j) = -j**2 + 12*j - 48. Let k be a(7). Let u(n) = n**2 + 14*n + 38. Calculate the remainder when u(k) is divided by 17.
8
Let i(l) = 329*l**2 + l + 41 + 326*l**2 - 656*l**2. What is the remainder when 18 is divided by i(-5)?
7
Suppose -23 + 73 = 10*a. Let v(s) = a*s - 12*s + 26 - 2*s + 6*s. Calculate the remainder when 51 is divided by v(0).
25
Suppose -19*p - 5*t - 2427 = -23*p, -2*t = p - 584. Calculate the remainder when 612 is divided by p.
14
Suppose 15*j + 284 = 19*j. Let d = j + -64. Suppose -3*v = -3*s, 4*v = 5*s - 1 - 3. What is the remainder when d is divided by v?
3
Suppose -746*g - 1032989 = -2437707. Calculate the remainder when g is divided by 94.
3
Suppose -13*y + 3290 = -y + 926. Calculate the remainder when y is divided by 22.
21
Suppose -3*y - r - 3*r = -433, 5*r = 4*y - 536. Let f = y + -70. Suppose f = -h + 177. Calculate the remainder when h is divided by 22.
20
Let h = 830 + -815. Suppose 0 = 2*c + 5*k - 20 + 4, k = -3*c + 11. Calculate the remainder when h is divided by c.
0
Let n(j) = -j**3 + 56*j**2 + 241*j + 30. What is the remainder when n(60) is divided by 74?
16
Let c(o) = -o**3 + 16*o**2 - 62*o + 42. Calculate the remainder when 1273 is divided by c(10).
19
What is the remainder when 1 + (170 - (-2 + -5) - 13) is divided by 46?
27
Suppose 0 = -26*q + 24*q + 698. Let k = -295 + q. What is the remainder when 103 is divided by k?
49
Let u(i) = 37*i**2 - 1. Let b = -57 + 140. Suppose 5*x - b = 17. Calculate the remainder when u(1) is divided by x.
16
Suppose 850 + 5646 = 56*r. Let u = 55 - 38. What is the remainder when r is divided by u?
14
Let u(n) = n**2 - 74*n + 428. Calculate the remainder when 22 is divided by u(6).
2
Let h = 9824 + -9149. Calculate the remainder when h is divided by 121.
70
Suppose 270 - 471 = -358*v + 873. Calculate the remainder when v is divided by 1.
0
Let u(z) = -z**2 - 9*z. Let d be u(-10). Let j be d/15*(4 - 7). Suppose -j*c + 23 = -3*b - 34, 4*b + 41 = c. What is the remainder when 125 is divided by c?
20
Let j(k) = k**2 - 37*k - 73. Let q be 21/((-84)/(-176)) - 4/1. Calculate the remainder when 83 is divided by j(q).
36
Suppose -37*t = -32*t - 210. Suppose w + t = 58. Suppose 0 = 3*y + 9 - 237. Calculate the remainder when y is divided by w.
12
Let x(w) = 3*w**3 + 36*w**2 + 76*w - 116. What is the remainder when 1622 is divided by x(-8)?
38
Let c = -9661 - -9865. Suppose -23*l + 24*l = 43. Calculate the remainder when c is divided by l.
32
Suppose -3*j = 4*s - 26, 0 = 2*j - 5*j + 4*s - 14. Suppose -4*t - 20 = 0, -j*t = 5*o + 2*t - 220. Calculate the remainder when o is divided by 18.
12
Let x(t) = 3*t - 1. Let m be x(1). Suppose 3*a + m*a - 45 = 0. Let i = -88534 - -88549. Calculate the remainder when i is divided by a.
6
Let r(c) = -14*c + 3. Let n(t) = 14*t - 2. Let p(f) = 3*n(f) + 2*r(f). Let d be p(2). Let q = 40 - d. What is the remainder when q is divided by 4?
0
Suppose 142*h = 141*h. Let k(x) = -x**2. Let p(u) = -5*u**2 + u - 43. Let b(d) = 4*k(d) - p(d). What is the remainder when b(h) is divided by 23?
20
Let b be 459/2 - -11*(-36)/264. Suppose -b = -0*t - 2*t - 4*n, 213 = 2*t - n. What is the remainder when t is divided by 22?
20
Calculate the remainder when 18699 is divided by -23 + 48 + 86 + -1.
109
What is the remainder when 149 is divided by (-41360)/(-282) - 6/9?
3
Suppose 0 = 3*i + 2*t - 92, -5*t + 223 = 5*i + 58. Calculate the remainder when 387 is divided by i.
23
Suppose -3*r - 16*w + 18*w + 1196 = 0, -5*r + 5*w + 2005 = 0. Calculate the remainder when r is divided by 31.
22
Let v(y) = 23*y**2 + y - 2. Let o = -374665 - -374686. What is the remainder when v(-2) is divided by o?
4
Let z = 5398 + -4305. Calculate the remainder when z is divided by 5.
3
Suppose 1 =