 when 1107 is divided by (1716 - -20)/14 + -11?
90
Suppose -5*z + 294 = 39. Suppose -53*n + 36 = -z*n. What is the remainder when n is divided by 4?
2
Let i = -12 + 21. Let h = -2067 + 2081. Calculate the remainder when h is divided by i.
5
Let c(z) = 2*z**2 + 180*z + 1353. Calculate the remainder when 555 is divided by c(-7).
173
Suppose 5*n = 40 + 35. Let r = 442 - 277. Suppose 3*l + 4*p = 248, 0 = -4*l - 5*p + r + 167. Calculate the remainder when l is divided by n.
13
Let c(u) = -11*u**2 - 9*u - 9. Let r be c(-6). Let l = r + 378. Calculate the remainder when 88 is divided by l.
7
Let f = -17 + 47. Calculate the remainder when 223 is divided by ((-45)/6)/(3*(-5)/f).
13
Suppose -t = 4*d - 4*t - 29, -5*d - 3*t + 70 = 0. Calculate the remainder when ((-240)/18)/(d/(-198)) is divided by 65.
45
Suppose -184 = -2*u - 2*s, 0 = 2*u - 3*s - 153 - 36. Let l(f) = 417*f - 401. What is the remainder when u is divided by l(1)?
13
Let s(y) = -43*y - 3. Let b(x) = -42*x - 4. Let r(g) = 4*b(g) - 5*s(g). Let j be r(-1). Let c = j - -62. What is the remainder when 55 is divided by c?
13
Suppose c + 3*q = 39, -4*c + 35 = 4*q - 113. What is the remainder when 6 - (1235/(-9 - 10) - -2) is divided by c?
33
Let v = -42 - -53. Let t(u) = 5*u - 111. Calculate the remainder when t(28) is divided by v.
7
Suppose -5*c = z - 445, -4*c - 54 = 5*z - 431. Let x = c + -84. Suppose r + x*a = 19, 4*r + 5*a - 15 = 72. Calculate the remainder when r is divided by 12.
11
Suppose 68002 - 20206 = 42*c. What is the remainder when c is divided by 46?
34
What is the remainder when (-7 - (-1 - 3)) + 7657/1 is divided by 319?
317
Let t(b) = -b + 7*b + 47 + 4 - 2*b. Calculate the remainder when t(-10) is divided by 1.
0
Let d = 8092 - 8031. Calculate the remainder when 186 is divided by d.
3
Let w(t) = -t**3 + 5*t**2 - 4*t + 4. Let x be ((-2)/3)/((-4)/18). What is the remainder when 870/(-25)*(-2)/4 + (-28)/70 is divided by w(x)?
7
Let o be 2/(-3) + 42460/33. Suppose -15*l + o = 236. What is the remainder when 136 is divided by l?
66
Let f(q) = -3*q + 5. Let n(v) = v. Let m(i) = f(i) + 5*n(i). Let j be m(-3). Calculate the remainder when 1 + 1/j + 169 is divided by 43.
40
Let s = -648 - -684. Suppose g = -4*q + 2*g + 13, 4*g + 26 = 3*q. Suppose -b + 58 = 3*w, q*w - 39 = -b - 0*b. Calculate the remainder when s is divided by w.
17
Let p(d) = -381*d + 1531. Calculate the remainder when 7030 is divided by p(4).
2
Suppose -506 = -o - 29. Suppose -53*m = -50*m - o. Calculate the remainder when m is divided by 20.
19
Let j(f) = f**2 - 19*f - 7. Let w be j(13). What is the remainder when ((-5)/(100/(-8)))/((-1)/w) is divided by 9?
7
Let y = -13387 - -13429. Calculate the remainder when 2980 is divided by y.
40
Suppose -87 = -2*q - p, -6*p - 6 = -8*p. What is the remainder when 5633 is divided by q?
5
Let h = 1731 + -958. Suppose 2*y + 475 = 3*v - 3*y, -y + h = 5*v. What is the remainder when v is divided by 26?
25
Suppose -62*j + 47*j = -1410. Suppose j*f = 95*f - 303. Calculate the remainder when f is divided by 38.
37
Let t be ((-3)/6)/(3/18). Let p be (-2 + 3)*1341/(t/(-3)). What is the remainder when p/15 + 3 + (-2)/5 is divided by 19?
16
Let h(i) = i + 3. Let d be h(0). Suppose -a + 274 = -5*t, 5*t - 512 = -2*a + d*t. What is the remainder when a is divided by 13?
12
Suppose -17646 = 28*z - 4371 - 64179. Calculate the remainder when z is divided by 7.
5
Suppose 2*a + 4*s = 3*s - 66, -60 = 2*a + 4*s. Let j(m) = -m**3 - 35*m**2 - 34*m + 15. What is the remainder when 342 is divided by j(a)?
12
Let v be 7 + -8 - (-3)/3. Suppose 2*k - 166 = -v*k. Suppose 0 = -5*x + 2*p + k, -3*p - 31 = -2*x - 0*p. Calculate the remainder when 65 is divided by x.
14
Suppose 10*z - 4601 = 779. Suppose 0 = 545*w - z*w - 1526. What is the remainder when w is divided by 10?
8
Suppose -5*t + 28*t - 345 = 0. Calculate the remainder when (20/t + -1)/(1/501) is divided by 20.
7
Let v = -14990 - -15032. What is the remainder when 80 is divided by v?
38
Let f(d) = -d**3 - d + 7. Let z(h) = 3*h**3 + 3. Let t be (4/(-5))/(26/(-65)). Calculate the remainder when z(t) is divided by f(0).
6
Suppose 0 = -66*d + 1832 + 82. Let p = 214 + -47. Calculate the remainder when p is divided by d.
22
Let u = 17 - -19. Let k be 1/5 - (-55)/(-25). Calculate the remainder when u is divided by ((-8)/(-22))/k - 1885/(-143).
10
What is the remainder when 2556 is divided by (-2 + -108)*(-472)/1298?
36
Let m be (-19)/(-10)*-14 + (-4)/10. Let d = m + 31. Calculate the remainder when -3 + d + 4*15 is divided by 16.
13
Suppose -13677 = -247*y + 1637. Calculate the remainder when y is divided by 4.
2
Let d(f) = -41*f + 76. Let v be 44/(-10)*320/128. What is the remainder when d(v) is divided by 10?
7
Suppose 27 = p + 2*d, 2*p + 2*d - 61 = -p. Calculate the remainder when p is divided by 6/2 + 5 + 5 + -8.
2
Let s(m) = -2*m**2 + 4*m + 142. What is the remainder when 709 is divided by s(7)?
61
Let h(m) = -3*m + 3. Let c be h(-7). Let j = c - -4. Let d(a) = a**2 - 31*a + 190. What is the remainder when d(27) is divided by j?
26
Let x = -36993 + 37030. What is the remainder when 4419 is divided by x?
16
Suppose -216 = -6*r + 3372. What is the remainder when r is divided by 82?
24
Suppose 12*c - 34*c = -6204. What is the remainder when c is divided by 282?
0
Let u(a) = a**3 + 13*a**2 - 5*a + 41. Let k be u(-13). Suppose -95 = -4*o + 5*m + 4, -2*m = 4*o - k. What is the remainder when o is divided by 9?
8
Suppose 221*w - 268*w + 376 = 0. What is the remainder when 1893 is divided by w?
5
Let y(b) be the first derivative of -b**4/4 - 3*b**3 + 9*b**2/2 - 15*b - 42. Let t be y(-10). Calculate the remainder when 23 is divided by t + 44/8 - (-14)/4.
3
What is the remainder when 1929 is divided by 6/(-114) + 470/(-95) + 17?
9
Let b = -171 + 153. Suppose -77 = -5*s + 43. What is the remainder when (-1246)/b - (-130)/(-585) is divided by s?
21
What is the remainder when 161 is divided by ((-48)/112 - (-3 - (-268)/28))*-16?
49
Calculate the remainder when (0 - -15)*((-162)/(-6) + -19) + -5 is divided by 20.
15
Let c = -10 + 21. Calculate the remainder when (-106)/(-689) - 386/(-26) is divided by c.
4
Suppose 4*b + 32 = 2*g, -13*b - 4 = -15*b. Calculate the remainder when 16798 is divided by g.
18
Suppose 2*s + 4*v = 7*s - 566, 0 = -4*s - 2*v + 458. Suppose 743*h = 3*u + 745*h - 92, u - 25 = 5*h. Calculate the remainder when s is divided by u.
24
Let h be 3 - (-3 + -3 - 38). Suppose -4*q + h = -57. What is the remainder when 155 is divided by q?
25
Let z = 8 + 0. Let b(n) be the first derivative of 2*n**3/3 - 15*n**2/2 + 7*n + 1177. Calculate the remainder when b(z) is divided by 2.
1
Suppose -2*l + 112 = 4*a, l - 54 = 3*a - 4*a. Suppose 23*v + 11745 = l*v. What is the remainder when v is divided by 8?
5
Suppose 0 = -3*w - 2*w, 5*v - 350 = 5*w. Suppose -1 = j - 4. Suppose t + v = j*l, 5*l - 4*t + t - 114 = 0. Calculate the remainder when 117 is divided by l.
21
Suppose -5378*w + 1925 = -5301*w. What is the remainder when 623 is divided by w?
23
Suppose -14*b + 28*b - 364 = 0. Let d(o) = -6*o + 1. Let h be d(-6). Suppose -35*z + h*z - 40 = 0. What is the remainder when b is divided by z?
6
Let h = -985 - -999. What is the remainder when h is divided by 5?
4
Let c(y) = 24*y - 1017. What is the remainder when 178 is divided by c(43)?
13
Let y(d) = -15*d - 98. Let q be y(-13). Let v = 109 - q. What is the remainder when 177 is divided by v?
9
Let s = 3603 + -2900. What is the remainder when s is divided by 47?
45
Suppose 0 = -3*a + 6, -2*o + 0*o + 5*a = -2. Let z be -19 - -2 - (-18)/o. Let f = z - -29. Calculate the remainder when f is divided by 3.
0
Let d(p) = 2*p**2 - 11*p + 19. Calculate the remainder when d(6) is divided by (1/2)/(15/(-30))*-25.
0
Let s(j) = 35*j - 4. Suppose 0 = -13*g + 17*g - 24. Calculate the remainder when s(1) is divided by (30/(-2))/((-5)/(20/g)).
1
Suppose a = -2*a - 5*a. Let c = 59 + a. Calculate the remainder when 232 is divided by c.
55
Let a(k) = -3 - 2 + 15*k - 14*k + 18*k**3 - 2. What is the remainder when a(2) is divided by 13?
9
Suppose 3*q + 4*u = 117, 0*q = -q - 2*u + 39. Let m = q - 19. Suppose 0*i = 5*i - i, -2*v = 4*i - 22. What is the remainder when m is divided by v?
9
Let w be 2 + (4 - 6)*-1. Suppose -3*i + w*a = -2*i