b. Calculate the remainder when 54 is divided by x.
5
Let n be (-4)/(-3)*9/2 - 4. What is the remainder when ((-14)/4 + n)/((-9)/78) is divided by 5 + -2 + -4 + 7?
1
Suppose 438 = 5*x + 1233. Let v = x + 169. Calculate the remainder when 58 is divided by v.
8
Let q(m) = m + 1. Let k = 11 + -7. What is the remainder when q(k) is divided by 976/(-427)*21/(-12)?
1
Suppose 3*x + 28 = 5*x. Suppose -3*h - h - x = -i, -2 = h. Suppose 0 = 2*t + m - 56, 0 = -11*t + 16*t + 2*m - 139. What is the remainder when t is divided by i?
3
Suppose -o - 4*m = -6*o - 57, m = 4*o + 39. Let i = -5 - o. Suppose -3*s + 2*t + 169 = -14, -3*s + i*t + 189 = 0. What is the remainder when s is divided by 31?
28
Let q = -221 + 348. Let l = -97 + q. Suppose -2*u - 50 = -4*x, -4*u = -0*x + 5*x - l. What is the remainder when x is divided by 4?
2
Let k be 8/(-28) - 38/14. Let i be (-2)/(-3)*k + 49 + -1. Let w = i - 35. Calculate the remainder when w is divided by 4.
3
Calculate the remainder when 10 is divided by 22/55 - (-3)/(45/69).
0
Suppose 5*o - 2*s - 21 = -0*s, 0 = -3*o - 5*s + 25. Suppose -4*d + 192 = -4*m - 432, -5*d - o*m + 740 = 0. What is the remainder when d is divided by 139?
13
Let j be (1*(-1)/3)/(15/45). Let t = j + -6. Let m(o) = -o**2 - 7*o + 4. What is the remainder when 46 is divided by m(t)?
2
Suppose 0 = -821*g + 823*g - 652. Let d = g - 304. What is the remainder when 348 is divided by d?
18
Suppose -3*k = -4*r + 3487 + 4101, -7580 = -4*r + 5*k. Calculate the remainder when r is divided by 627.
19
Suppose -5*w + 31 = -2*r, 2*r + 2 = -2*r - 2*w. What is the remainder when 27 is divided by (10*r/(-9))/(6/27)?
12
Let k(y) = -73*y - 2606. What is the remainder when k(-40) is divided by 21?
20
Suppose 143*f - 45900 = -82*f. Calculate the remainder when 1629 is divided by f.
201
Suppose 10 = 5*f, -26 = -4*b - 37*f + 34*f. What is the remainder when (-120)/(-42) - b/(-35) is divided by -1*(1 - 0 - 4)?
0
Let z = 2 + 12. Let b be 48/20*(-5)/(-3). Calculate the remainder when 12/16*b*(-106)/(-6) is divided by z.
11
Let c be -6 - (-1 - (7 - -38)). Suppose 1650 = -c*w + 73*w. Calculate the remainder when 91 is divided by w.
41
Let i(t) = 2 + t**2 + 0*t**2 + 1 + 0*t**2. Let x(q) = q**3 + 8*q**2 - 121*q - 35. What is the remainder when i(8) is divided by x(8)?
4
Let n be ((-628)/8 + -1)/(3/4). Let r = n + 149. What is the remainder when r is divided by 14 + 1 - 17/(-17)?
11
Let x(v) = -9*v - 1. Let l be x(1). Let f(a) = a + 26. Suppose -5*h - 3*d + 45 = -h, -2*d = -h + 3. Calculate the remainder when f(l) is divided by h.
7
Let k(y) = -2*y**3 + 48*y**2 - 8*y + 216. Calculate the remainder when 479 is divided by k(24).
23
Let c(f) = 12*f - 48. Let k be c(16). Let h = k + -134. Calculate the remainder when h is divided by 4.
2
Let m(y) = 682*y**2 - 171*y - 170. What is the remainder when 2070 is divided by m(-1)?
21
What is the remainder when 20 is divided by (41 + -4 + 25/(-2 - 3))/2?
4
Calculate the remainder when 78 is divided by (-198)/(-330)*(-645)/(-9) - (-3 - 1).
31
Let f = -9 - -13. Let i(c) = 2*c + c**3 - 7 - 9*c + 21*c - 8*c**2. What is the remainder when i(6) is divided by f?
1
Let o = -20469 - -20486. Calculate the remainder when 3524 is divided by o.
5
Let t be -5*(14/(-5) + 0). Let y = 352 + -341. Let p = t - y. What is the remainder when 10 is divided by p?
1
Let b(i) = i**3 - 34*i**2 + 19*i - 15. Calculate the remainder when b(34) is divided by 43.
29
Let i(o) = -o**2 + 18*o - 59. Let z be i(14). What is the remainder when (3/(-6))/(z/174) is divided by 4?
1
Suppose -40*o = -42*o + 4. Suppose 4 = -3*j - 5, -4*j - 70 = -o*x. What is the remainder when x is divided by 15?
14
Calculate the remainder when 2325 is divided by (4614/18)/((-1)/(-4)*(-28)/(-21)).
18
Let s = -3357 - -3437. What is the remainder when s is divided by 27?
26
Suppose 162 = 3*q + 3*l + 18, -4*l = 3*q - 145. Suppose -w = -4*f - 388, 0 = 5*w + 5*f - 3621 + 1481. What is the remainder when w is divided by q?
44
Let x(o) = o**3 + 4*o**2 - 2. Let d be x(-2). Suppose -d*l = l - 259. What is the remainder when -3*(-5)/(-3) + 76 is divided by l?
34
Let l = -407 + 419. What is the remainder when ((-724)/6)/(-1) + (-8)/l is divided by 32?
24
Let p(m) = -m**2 + 6*m - 4. Let f = 59 - 56. Let r be p(f). Suppose r*x - 63 = -2*x. What is the remainder when 33 is divided by x?
6
Suppose 5*n - 434 = 2*i, 11 = -4*n - 5. Let g = i + 239. What is the remainder when 179 is divided by g?
11
Let y = 70 + -125. Let x = 59 + y. Suppose f = -p + 62, -254 = -x*f - p - 0*p. What is the remainder when f is divided by 13?
12
Let h(t) = -16*t - 167. Let y = -481 + 469. What is the remainder when 111 is divided by h(y)?
11
Suppose -5*s + 8 = -26*z + 25*z, s = z. What is the remainder when s/(-4)*(11 + -81) is divided by 28?
7
Suppose s + 287 - 846 = 0. Let l = s - 513. Calculate the remainder when 176 is divided by l.
38
Suppose -11*t + 724 = 264 - 519. Calculate the remainder when 1779 is divided by t.
88
What is the remainder when 215 is divided by (16 - (-290)/(-20))*68/6?
11
Suppose -r + 14*r - 832 = 0. What is the remainder when 312/((-6)/(-3))*16/r is divided by 21?
18
Let l(f) = 2*f - 55. Let c be l(29). Suppose 0 = -5*j - a - 4 + 50, c*j = 5*a + 22. Calculate the remainder when 58 is divided by j.
4
Let m(z) = -z**2 - 37*z - 8. Let y be m(-11). Let v = y - 191. What is the remainder when v is divided by 13?
9
Let a = 7118 - 6599. What is the remainder when a is divided by 52?
51
Let c = -4297 - -4303. Calculate the remainder when 3596 is divided by c.
2
Let v = -30 - -55. Suppose -48 = 5*z + 2*b - 5, -b = z + 11. What is the remainder when v is divided by z + 22/2 + 1*5?
7
Let o = -156408 + 156599. Calculate the remainder when o is divided by 8*(-1)/(-2) + 0.
3
Let k(w) = -56*w - 15. Let m be k(-1). Suppose 50*b - 405 = m*b. What is the remainder when 719 is divided by b?
44
Suppose 6580 = 18*x - 4*x. Suppose 5*k - x = -430. What is the remainder when 53 is divided by k?
5
Let d = 281 - -1690. Calculate the remainder when d is divided by 1958.
13
Let y(h) = 169*h**2. Let c(g) = -g**2 - 8*g - 8. Let p be c(-7). Suppose -2*q = -q - b - 40, -q + 58 = 5*b. Calculate the remainder when y(p) is divided by q.
40
Suppose 0 = 3*w - 128 + 44. Suppose 0*m + 4*m = w. What is the remainder when m is divided by (-2 + 1)*(27 - 29)?
1
Let w(t) be the first derivative of 17*t**3/3 + 2*t + 2. Suppose 253*l - 483 - 4071 = 0. What is the remainder when w(2) is divided by l?
16
Suppose 0 = x - 1, -o - 4*o + x + 279 = 0. Calculate the remainder when 783 is divided by o.
55
Let r = -4 + 6. Suppose -r*j + o + 24 = j, -j + 8 = 4*o. Suppose -2*l + 5*n = -45, 12*l + 4*n = 11*l + 16. What is the remainder when l is divided by j?
4
Suppose 4*f + 2*s - 49 = -s, 4*s = 2*f - 8. Let m = 24 - f. Let o(h) = 3*h - 12. Calculate the remainder when m is divided by o(6).
2
Suppose 2*k + 8 - 6 = 0. Let w be k/((4/(-5))/4). Suppose 2*x - 45 = -w*p + 35, 5*x + 64 = 4*p. What is the remainder when p is divided by 10?
6
Let d = 75 + -151. What is the remainder when 2/((18/d)/(-9)) is divided by 9?
4
Suppose 28*x - x - 6318 = 0. Calculate the remainder when x is divided by 56.
10
Let d(l) be the first derivative of 2*l**3/3 + 13*l**2/2 + 19*l - 1. Calculate the remainder when 210 is divided by d(-8).
38
Suppose 4*h - c = 1180, -h - 8*c + 4*c + 278 = 0. Let q(v) = v + 39. What is the remainder when h is divided by q(-9)?
24
Let g = 367 - -116. Let o = g + -413. Calculate the remainder when 348 is divided by o.
68
Let x be (718/6)/(-1*4/(-12)). Let d = x - 56. What is the remainder when d is divided by 51?
48
Let y be 2/(14/21) + 212. Let t = y + -190. What is the remainder when t is divided by 2?
1
Suppose 0 = -98*p - 1693 + 18353. Calculate the remainder when 710 is divided by p.
30
Let j = -519 - -1360. Let d = j - 831. Calculate the remainder when 96 is divided by d.
6
Suppose -136 = -10*q + 6*q. Suppose 0 = 9*x - 38*x + 6*x + 1518. What is the remainder when x is divided by q?
32
Let b = -128 - 172. Let f = 324 + b. What is the remainder when 36 is divided by f?
12
Let z(k) = -k**3 - 65*k**2 - 2*k + 182. Calculate the remainder when z(-65) is divided by 111.
90
Let v = -105 + 213. Let s = v + -70. Calculate the remainder when 105 is divided by s