ulate the remainder when 52 is divided by r*4/3 + (-1320)/(-36).
14
Let o(a) be the first derivative of a**2/2 + 4*a + 27. Let k be o(6). Suppose 4*l - k = 4*n + 6, 0 = -3*n - 6. Calculate the remainder when 9 is divided by l.
1
Suppose f + c = 129, -6*c + 10*c + 84 = f. What is the remainder when 1338 is divided by f?
18
What is the remainder when 147 is divided by (-21 + -5 - -12)/(2/(-4))?
7
Suppose 3*i + 41 = -2*f + 110, 2*i - 79 = -5*f. Suppose 5*s + 68 = s - 4*h, -2*h + 2 = 0. Let a = 53 + s. What is the remainder when a is divided by f?
8
Let d(v) = v**2 - 11*v - 21. Let g be d(13). Suppose -g*h + 142 - 12 = 0. Calculate the remainder when 99 is divided by h.
21
Calculate the remainder when (-258570)/(-81) + (1 - (-55)/(-45)) is divided by 6.
0
Suppose -2*s + 376 = -219*o + 218*o, -5*s - 4*o = -927. Calculate the remainder when s is divided by 63.
61
Let n be (-5)/2*(-14)/(-7). Let s be ((-4)/n)/(5/150). What is the remainder when 31 is divided by (-7)/(-3) + (-8)/s?
1
Let d = -36 - -59. Suppose 28*g = d*g - 45. What is the remainder when 3/g + (-815)/(-15) is divided by 28?
26
Suppose -19*z + 2*w + 13 = -18*z, 5*z - 60 = 5*w. Calculate the remainder when 107 is divided by (9 - 8)/(z/418).
31
Let d be 45 + ((-10)/(-20))/(1/(-4)). Suppose -5*b = 4*r - 76 - d, 4*r - 127 = 3*b. What is the remainder when 243 is divided by r?
26
Suppose 615 = 3*f + 2*d, -820 = -4*f - 20*d + 15*d. What is the remainder when f is divided by 14?
9
Let k be (-3)/12 + (-4671)/36. Let r = k + 250. Calculate the remainder when r is divided by 25.
20
Let z be (-4)/(-6) - 3408/(-72). Let o = 54 - z. Calculate the remainder when 125 is divided by o.
5
Suppose 4*o - 15 = 5*h, 18*h - 14*h + 12 = 0. Suppose o = -2*p - 2*u + 56, -31 = -3*u - 43. Calculate the remainder when 189 is divided by p.
29
Suppose -88*v = -89*v + 14. Suppose -3*o = -2*p + 729, -22*p = -20*p + 4*o - 708. What is the remainder when p is divided by v?
10
Let g = -4198 + 4729. Calculate the remainder when 1083 is divided by g.
21
Suppose -2*a - 79*f + 2890 = -77*f, 10*a - 14440 = -5*f. Calculate the remainder when a is divided by 361.
360
Suppose -495 = -4*n + q - 115, q - 100 = -n. Suppose 149 = -s + 21. Let w = s - -161. Calculate the remainder when n is divided by w.
30
Let z be 7 - (3 - (-2 + 1)). Let f(t) = -6*t - 5. Let m be f(z). Let h = m + 39. What is the remainder when 28 is divided by h?
12
Let f(u) = -13*u - 173. Let b be f(-25). Suppose 0 = -148*z + b*z - 468. What is the remainder when z is divided by 11?
7
Let w = 1556 - -650. Calculate the remainder when w is divided by 96.
94
Suppose 0 = -3*q + 3*f + 160 + 119, -q = -3*f - 77. Calculate the remainder when 895 is divided by q.
87
Let u = -15 + 36. Let j = -1105 + 1850. Let n = 804 - j. Calculate the remainder when n is divided by u.
17
Suppose -2*v = 2*j - 34, 42*v - 56 = -3*j + 40*v. What is the remainder when 94 is divided by j?
6
Suppose -4*c + 790 = 5*f, 4*c - 2*f - 43 = 761. Suppose -130*l + 134*l = c. Calculate the remainder when 51 is divided by l.
1
Suppose -5*v + v + s + 227 = 0, -5*v + 2*s = -280. Suppose -2029 = -5*q + 1056. Let w = q + -601. Calculate the remainder when v is divided by w.
10
Let r = 222 + -131. Let n = r - -9. What is the remainder when n is divided by 17?
15
Suppose 18822 + 4208 = 14*c - 4998. What is the remainder when c is divided by 56?
42
Suppose 9 = 106*p - 103*p, 4*g - 198 = -2*p. Suppose -4*w + 4*k = -108, 42 = w + 3*k - 5. Calculate the remainder when g is divided by w.
16
Let s = -156 + 237. Suppose 33*a + s = 36*a - 3*d, -2*a = -5*d - 42. What is the remainder when (-2)/(-8) + 710/8 is divided by a?
27
Suppose 16*c = 7*c + 45. Suppose -2*s = -6, 2*i + s - 22 = -c. What is the remainder when i is divided by 1/((-6)/(-5) - 1)?
2
Suppose 14*i = -2080 - 1308. Let z = i + 399. Calculate the remainder when z is divided by 50.
7
Suppose -3*s + 2*d + 9168 = 0, 7*s + 26*d - 25*d = 21358. What is the remainder when s is divided by 5?
2
Suppose -4*w + 0*w = 5*l - 228, -5*w = -2*l - 252. Calculate the remainder when 881 is divided by w.
49
Let w = 105 - -55. Calculate the remainder when 630 is divided by w.
150
Let n = -59764 - -59771. Calculate the remainder when (-392)/(-18) + (-4)/(-18) is divided by n.
1
Suppose 142590 - 75134 = 155*x - 205809. What is the remainder when x is divided by 34?
29
Let r be (-4)/(-6)*(-2940)/(-8). Suppose 0 = -9*n + r + 169. What is the remainder when n is divided by 16?
14
What is the remainder when 207 is divided by 51*49/(-42)*(-6)/21?
3
Let d(j) = 6*j**2 + 4*j - 265. Calculate the remainder when 962 is divided by d(-8).
5
Suppose 2*d + u - 1292 = 0, d + 15*u - 643 = 13*u. What is the remainder when d is divided by 108?
107
Let c be 51701/(-369) - 1/(-9). Let b = 144 + c. Suppose -b*l - 5*d + 169 = 0, 2*d - 68 = -2*l + 18. What is the remainder when 273 is divided by l?
43
Suppose 36*p + 628*p = 35192. Let z = -118 - -173. What is the remainder when z is divided by p?
2
Let q(r) = 55*r - 53. Let h be q(1). Calculate the remainder when 257 is divided by (h + -25 + 2)*2/(-6).
5
Let j(g) = 6*g**2 + 102*g - 134. Calculate the remainder when 1361 is divided by j(-20).
5
Let q(s) = -9*s - 78. Let o be q(-9). Suppose -2*u + 59 = -o*w, -2*u = w - 55 - 8. What is the remainder when 123 is divided by u?
30
Calculate the remainder when 2/5 - (-1428)/5 is divided by 18/(-63)*(26 - 229).
54
Suppose -1772 = n - 5*n. Calculate the remainder when n is divided by 129.
56
Let m = -324 + 323. Calculate the remainder when m + (-9)/(-4) + (-1589)/(-28) is divided by 9.
4
Calculate the remainder when (-88)/(-66)*(-9)/(-48) + 2127/4 is divided by 6.
4
Suppose 0 = 2*g - 2*q - 22, 2*g - 18 = 3*q - 1. Suppose g*j = 9*j + 819. Calculate the remainder when j is divided by 15.
12
Let q(t) = -t + 61. Let d be q(31). Suppose -8*i + 74 = -d. Calculate the remainder when i is divided by 5.
3
Let r = -565 - -1629. Suppose 3*n + n - 4*u - r = 0, 2*n = 5*u + 541. What is the remainder when n is divided by 67?
62
Suppose 0 = 2*t - 4*k - 204, -6*t + 5*t + 5*k = -99. Calculate the remainder when t is divided by 16.
8
Suppose 6*z - 28*z + 20382 = 64*z. What is the remainder when z is divided by 92?
53
Let l(k) = -2*k**2 + 4*k + 4 + 0*k**2 - k**3 + 1. Calculate the remainder when (206/(-5))/(-23*(-130)/(-7475)) is divided by l(-4).
19
Let f(t) = -28*t - 14. Suppose -5*l = 3*b - 43, 4*l = -3*b - 0*l + 41. Let v be -1 - -4 - (b - 6). What is the remainder when 167 is divided by f(v)?
41
Suppose 12*f - 42 = -2*f. Suppose -f*m = 0, 3*d - 1499 = -3*m - 260. What is the remainder when d is divided by 26?
23
Let z = -6290 + 6361. Calculate the remainder when z is divided by 19.
14
Suppose 0 = -2*z + w + 1066 - 1011, 4*z + 2*w - 98 = 0. Calculate the remainder when 5241 is divided by z.
15
Let r be -7 - -3 - (-7)/1. Suppose 0 = -13*p + r + 179. Calculate the remainder when 95 is divided by p.
11
Let t = 27383 + -27166. Calculate the remainder when t is divided by 2 - -23*2 - -2.
17
Calculate the remainder when ((-341)/(-44) + -8)/((-4)/22192) is divided by 57.
19
Suppose -r + y = -4, 4*r + 6*y = 4*y + 40. Suppose 2*d = 32 - r. Calculate the remainder when d is divided by 4.
0
Let y = 43 + -30. Suppose 2058 = 2*k - 2*m, 14*k - 2028 = 12*k - 4*m. Suppose -2*h + k = 14*h. What is the remainder when h is divided by y?
12
What is the remainder when (36/(-8))/(8/(-1016))*14/21 is divided by (-64)/3*(-3)/2?
29
Let n = 6788 + -6755. What is the remainder when 1740 is divided by n?
24
Let k(r) = -3*r + 555. Calculate the remainder when k(-34) is divided by 19.
11
Calculate the remainder when 3096 is divided by (-384 - 14/7)*(2 - 14 - -11).
8
Suppose -2*z = 549 - 888 - 2001. Calculate the remainder when z is divided by 382.
24
Let k = -248 - -256. Suppose 0 = 5*j - 10, 0 = a + 7*j - k*j - 9. What is the remainder when 74 is divided by a?
8
Suppose -4*h + 674 = -246. Suppose 5*v = y + 4*v - 50, v = 5*y - h. What is the remainder when 87 is divided by y?
42
Suppose 0 = -2*v + 10*v - 80. Suppose -10*g + 11*g - 49 = 3*l, 0 = 4*g + 3*l - 226. What is the remainder when g is divided by v?
5
Let a = 5 - -94. Let z = a - 45. Let b = z + -24. Calculate the remainder when b is divided by 17.
13
Let j be 80 + (25/5 - 3). Suppose -j*d +