= 3*g. Suppose v = j + j. What is the remainder when j is divided by 3?
1
Let u = -133 + 138. Suppose -q = -u*q + 1092. What is the remainder when q is divided by 69?
66
Suppose -61*m - 2*r + 152 = -59*m, -m + 2*r = -61. What is the remainder when 147 is divided by m?
5
Let r be (2 - 4)*7/(42/(-1149)). Let o = -378 + r. What is the remainder when 51 is divided by o?
1
Let g(d) = 4*d**2. Let p be g(1). Suppose -47*r = -43*r - 24, 0 = x + 4*r - 32. Suppose -408 = -p*j - x*j. Calculate the remainder when j is divided by 18.
16
Suppose 168*k - 19685 = 4171. Calculate the remainder when 648 is divided by k.
80
Let v(r) = 44*r**2 + 11*r - 11. Let b be v(3). Suppose -10*j + 372 = -b. Calculate the remainder when j is divided by 10.
9
Let v = 5007 + -4953. Calculate the remainder when 261 is divided by v.
45
Let x be (1/(3/(-6)))/(1/(-2)). Suppose x*r - 603 = -5*r. Let h = r - -22. Calculate the remainder when h is divided by 31.
27
Suppose 0 = 15*r - 8*r + 56. Let q(j) = -j**2 - 8*j + 5. Let s be q(r). What is the remainder when 35 is divided by 135/90*(0 + s - -1)?
8
Let c(u) = u**2 - u - 1. Let n(b) = 7*b**2 - 23*b - 65. Let o(i) = 6*c(i) - n(i). Calculate the remainder when 76 is divided by o(18).
35
Suppose 5*g = -5*z + 470, -4*z + 369 = -92*g + 89*g. Calculate the remainder when 281 is divided by z.
2
Let o(i) = i**3 - i**2 - 10*i + 8. Let h be o(3). Let r = 12 + -8. Calculate the remainder when r is divided by (-6)/14 - (-12)/(-14)*h.
1
Let q be 3 + (-144)/(-20)*5. Calculate the remainder when 210 is divided by q/(-1 + 4) + -9.
2
Let o be (-1 + 28/7)*1*3. Let k = 46 + -45. What is the remainder when (-3 + 2)*(o + -13) is divided by k?
0
Suppose 9*f = 2836 + 13562. Suppose 4*a + 4573 = 5*k, -2*k = -4*a - 0*a - f. Calculate the remainder when k is divided by 27.
26
Suppose 11*l - 2*l = 738. Suppose s - l = 2*d, -6*s + 3*s = 2*d - 222. What is the remainder when s is divided by 35?
6
Let v = -51 + 56. Suppose 4*t - 2*t + v*z - 59 = 0, -28 = -t - 2*z. Calculate the remainder when 351 is divided by t.
21
Suppose 5*c + 5*h = 435, -87*h + 383 = 4*c - 88*h. What is the remainder when 606 is divided by c?
42
Calculate the remainder when (1/3)/((-19)/(-32547)) is divided by 11.
10
Suppose -24*d + 17*d + 71 = -48. Calculate the remainder when d is divided by (-18)/(((-15)/(-2))/(-5)).
5
Suppose 8031 = 203*t - 901. Let s(j) = 3*j - 18. What is the remainder when t is divided by s(12)?
8
Calculate the remainder when (((-440)/(-100))/11 + 2/(-30))*6723 is divided by 21.
15
Suppose -4*r + 3*z + 8 = -7, 3*z + 15 = 3*r. Suppose r = 2*x - 5*o + 3 + 24, -3*x + 2*o = 57. What is the remainder when 25 is divided by (-6)/x - (-183)/21?
7
Let f(k) = -5*k**2 + 3*k + 2. Let r be f(-1). Let w = 3 - 0. Calculate the remainder when 48/(-40)*40/r is divided by w.
2
Suppose 25*k + 60*k + 418 = 107*k. Suppose -4*u = 5*l - 835, 4*l - 4*u = l + 501. Calculate the remainder when l is divided by k.
15
Let x(v) = 5*v**2 - 10*v + 2. Let z be x(2). Let y(o) = 2*o**3 + 3*o**2 - 8*o + 6. What is the remainder when 125 is divided by y(z)?
17
Let i(g) = -g**3 + 11*g**2 - 34*g + 90. Calculate the remainder when 187 is divided by i(6).
55
Suppose b = -6 + 27. Suppose 5*w + 7 = -63. Let x = w + 95. Calculate the remainder when x is divided by b.
18
Let u(t) be the third derivative of 49*t**6/120 + t**5/60 + 17*t**2. Let s be u(1). Suppose -2*c + s - 14 = 0. Calculate the remainder when c is divided by 5.
3
What is the remainder when 48 is divided by 19*1 + ((-16)/224 - 297/(-42))?
22
Suppose 0 = -h - 2*h - 5*y + 180, 4*h + y - 240 = 0. Suppose 5*z - i = -3*i + 61, 0 = 5*z - 2*i - 69. Calculate the remainder when h is divided by z.
8
Suppose 416 = 5*v + 2*w, -26*v + 21*v + 424 = -2*w. Let d be 2/2 + 2*32. Calculate the remainder when v is divided by d/3 - (-1)/3.
18
Let f(w) be the first derivative of w**3/3 + 22*w**2 + 91*w - 51. Calculate the remainder when 41 is divided by f(-42).
6
Let v(d) = d**2 - 36*d + 96. Calculate the remainder when 859 is divided by v(34).
19
Suppose 590 = -7*w + 2144. Calculate the remainder when w is divided by 84.
54
Suppose -y + 4*t - 280 = -4*y, -2*y + 202 = -5*t. Suppose -y*v + 99*v = 729. Calculate the remainder when v is divided by 31.
26
Suppose 3*i = -5*o + 811 + 4022, 4*o - 4*i = 3860. What is the remainder when o is divided by 51?
48
Suppose 0 = 12*c - 86*c + 1332. What is the remainder when 2835 is divided by c?
9
Suppose -3*j + 49 = h, -5*j + 102 = -4*h + 26. Let z(c) = 4*c - 62. What is the remainder when 4 is divided by z(j)?
0
Let z = 104 - 83. Suppose -5*i + z = 3*c - 355, -5*c = -3*i + 212. Let q = 36 - -2. What is the remainder when i is divided by q?
36
Calculate the remainder when (-7 - 0) + (10 - -106) + 15 is divided by 16.
12
Let l(d) = 25*d**2 - 5*d. Let s be l(-3). Suppose -8*h = -12*h + s. Suppose -7*f + h + 339 = 0. What is the remainder when f is divided by 15?
12
Let r(g) = 20*g + 200. Let c be r(6). Suppose 3*a - c = -5*s + 488, 5*s - 800 = 5*a. What is the remainder when s is divided by 81?
80
Suppose 61*x + 4*p - 107 = 56*x, -5*x + 91 = 2*p. Let r = 344 + -578. Let d = -160 - r. Calculate the remainder when d is divided by x.
14
Let d = 128 - -65. Let c = d - 102. Let q = c + -23. What is the remainder when q is divided by 10?
8
Let r(g) = -15 + 4 + g + 4 - 1. Let s be r(8). Suppose -3*x + 3*o + 27 = s, x + o = 4*x - 33. Calculate the remainder when 20 is divided by x.
8
Let v = 428 + -725. Let c = v + 308. What is the remainder when 119 is divided by c?
9
Suppose b = -5*o - 32, 0 = 4*b + 2*o + 35 + 21. Calculate the remainder when 132 is divided by ((-90)/36)/(2/b).
12
Let v(j) = -11*j**2 - 3*j - 2. Let k be v(-2). Let o = 0 - k. Calculate the remainder when o is divided by (-5512)/(-265) - (-1)/5.
19
Suppose 251*p + 300 = 254*p. Suppose 14*v = 4*v + p. What is the remainder when 15 is divided by v?
5
Let l = 647 + -644. Suppose 0 = -2*s - 4*g + 110, -5*s - l*g + 283 = -27. What is the remainder when 197 is divided by s?
2
Let j = -3345 + 3410. What is the remainder when j is divided by 27?
11
Let x(u) = 2*u**2 + 5*u - 16. Let z be x(-7). Suppose -z*i + 45*i = -30. What is the remainder when i is divided by (-2)/(-8) - 1/4 - -4?
3
Let q = -22 + 42. Let n(f) = -5*f**2 - 45*f - 27. Let a be n(-8). Let s = q + a. What is the remainder when 164 is divided by s?
32
Suppose -8*w + 18*w - 3680 = 0. Let p = w + -337. Calculate the remainder when p is divided by 4.
3
Suppose 2*d = q - 2*d - 47, 2*q + d = 76. Let b = q + -39. Suppose 4*u + 12 = 0, b = -x + 2*u + 8 + 43. What is the remainder when 89 is divided by x?
44
Let i(h) = -101*h - 1582. Calculate the remainder when i(-21) is divided by 9.
8
Let q = -380 - -116. Let m = q + 298. Calculate the remainder when m is divided by 14.
6
Let r(b) = -b**3 + 2*b + 1. Let x = 50 - 51. Let p be r(x). Suppose -j + 0*t + 53 = 5*t, p = 3*j - 3*t - 195. Calculate the remainder when j is divided by 13.
11
Suppose 0 = 2*b + 6 + 16. Let v = 1 - b. Calculate the remainder when (-143)/(-5) - (168/30 + -6) is divided by v.
5
Suppose -2907 = 73*m - 76*m. Calculate the remainder when m is divided by 6.
3
What is the remainder when 1900 is divided by (-426)/(-15) - (-62)/(-155)?
24
Calculate the remainder when -1 + (9 - -112) - 7 is divided by 111.
2
Let y(c) = -8*c**3 - c**2 - c. Let v be y(-1). Suppose 13*i = v*i + 610. Suppose -19 = -3*l + i. Calculate the remainder when l is divided by 10.
7
What is the remainder when 317 is divided by (4/8)/(5 - (285/24 + -7))?
1
Let p be (-27)/27 + -6 + 1. Let s be (-25 - 2)*1*2/p. Suppose 2*x = -3*f + s, 0*f + 30 = 2*x - 4*f. Calculate the remainder when 123 is divided by x.
6
What is the remainder when ((-10)/16)/((-151)/102680) is divided by 14?
5
What is the remainder when 328 is divided by 5 + 1978/(-414) - (0 - (-2948)/(-18))?
0
Suppose -176 = a + 3*u, -4*a - u + 172 = 876. Let q be (a/(-4))/((-1)/(-2)). Suppose -k + q = 3*k. What is the remainder when 102 is divided by k?
14
Let i be ((-4)/6)/((-6)/(-324)). Suppose -m + 3*x - 149 = -3*m, 4*m - 263 = x. Let g = i + m. Calculate the remainder when 59 is divided by g.
28
Let p(q) = 6*q**2 - 5*q + 7. Let c be 17 + -3 + (-4)/2. Suppose -5*r - c = -11*r. What is the remainder when 123 is divided by p(r)?
18
Let