Suppose 4*m + x = 7429, -m + 2*x = -5*m + 7430. Calculate the remainder when m is divided by 38.
33
Let g = 16855 + -16831. Suppose -3*z + 5*s = -60 + 23, -4*z - 2*s + 6 = 0. What is the remainder when g is divided by z?
0
Suppose 0*v - 87 = -3*v. Suppose -29 = -2*u - 14*s + 15*s, -4*u + s + 53 = 0. Suppose -u*b + 995 = -37. What is the remainder when b is divided by v?
28
Let b(r) be the first derivative of -5*r**2/2 - 41*r - 10. Let u be b(-29). Let z = u - 38. What is the remainder when z is divided by 34?
32
Let c(y) = 660*y**2 - y + 2. Let j be c(-1). Let a = -635 + j. Let n = 16 + -6. Calculate the remainder when a is divided by n.
8
Let a = 1148 - 1067. What is the remainder when 427 is divided by a?
22
Suppose -2*s + 4*q = -104, 4*q - 199 = 9*s - 611. Suppose -3*u + 548 = 146. What is the remainder when u is divided by s?
2
Suppose -21*h + 176 = 5*n - 17*h, 2*n = h + 60. Calculate the remainder when 23 is divided by ((-1)/((-8)/n))/((-2)/(-7)).
9
Let l = -4316 - -4353. What is the remainder when 309 is divided by l?
13
Suppose 115342*h - 115340*h - 8 = 0. What is the remainder when 1172 is divided by h?
0
Let g = 20208 - 19244. What is the remainder when g is divided by 458?
48
Suppose 5*t + 309 = a + a, -2*t - 783 = -5*a. Let p(h) = -16*h**2 + 37*h + 1. Let z be p(3). Let n = z + a. Calculate the remainder when n is divided by 21.
20
Let z = 230 - 138. Let j be (299/z)/(1/(-4)). Calculate the remainder when (j + 1)/(63/(-84)) is divided by 7.
2
Let c(z) = -4*z - 18. Let j be c(-9). Suppose 0 = -2*r - 5 + 125. Suppose 6*p - r = j. What is the remainder when 25 is divided by p?
12
Let o(i) = -i**3 - 8*i**2 - 14*i - 23. Let q be o(-6). Calculate the remainder when 94 is divided by ((-68)/34)/(1/(q/2)).
6
Suppose d + 5*z = -317 + 448, 0 = 4*d + 2*z - 506. Calculate the remainder when 3396 is divided by d.
120
Suppose 13 = 4*u + 5. Suppose 8 = 2*v - w, v - u*v - 4*w = -4. Let a = -733 + 737. What is the remainder when a is divided by v?
0
What is the remainder when 192 is divided by ((-32)/(-14) - 2) + 11571/147 + -23?
24
Suppose 0 = -5*s + 7*s - 104. Calculate the remainder when (1 - -153) + (4 + -2)/(-2) is divided by s.
49
Let v(o) be the second derivative of -o**5/20 - 17*o**4/4 + 103*o**3/6 - 149*o**2/2 - 3*o. What is the remainder when 35 is divided by v(-53)?
5
Suppose -3*f + 3*q + 21 = 0, -3*q = f + 13 - 4. Suppose -4*i = -2*z, 6 + 6 = f*i. What is the remainder when 32 is divided by z?
0
Let l = -3816 - -3845. Calculate the remainder when 706 is divided by l.
10
Let x = -2094 - -3974. Calculate the remainder when x is divided by 21.
11
Let g = 6991 - 6840. What is the remainder when 363 is divided by g?
61
Let b(f) = 132*f**2 + 59*f - 244. What is the remainder when b(4) is divided by 9?
7
Let d be -5*(-1 - (-81)/5). Let c(r) = r**3 - 9*r**2 + 20*r + 21. Let o be c(8). Let v = o + d. Calculate the remainder when v is divided by 16.
9
Let v(o) = -4*o + 322 + 325 - 654. What is the remainder when v(-11) is divided by 10?
7
Let f = -202 + 215. What is the remainder when 30/(-9)*(-36)/10 is divided by 2/f - (-800)/208?
0
Suppose 44*h = -44*h + 58784. What is the remainder when h is divided by 134?
132
Suppose 874 = 4*v + 3*g, -v - g = -2*g - 222. What is the remainder when (-1 - v/(-28))*14 is divided by 287/11 + (-6)/66?
18
Let j be 4111/7 + 348/(-42) + 8. Suppose 5*h - n = j, -5*h + 731 - 152 = 3*n. What is the remainder when h is divided by 63?
54
Let k(o) = 3*o - 10. Let u be k(5). Suppose 0 = -u*j + 27 - 7. Suppose -j*h - 2*p = -7*h + 24, -5*p = 0. What is the remainder when 30 is divided by h?
6
Let b(q) = q**3 - 21*q**2 - 95*q + 9. Calculate the remainder when b(25) is divided by 101.
33
Let h = -485 - -362. Let i = -88 - h. What is the remainder when 171 is divided by i?
31
Let w be (-3)/((3/87)/(-1)). Suppose 3*b + w = 345. Calculate the remainder when b is divided by 9/(-2)*(-10)/3.
11
Let a(l) = -397*l + 1784. Calculate the remainder when a(4) is divided by 34.
26
Let q(f) = -3*f - 99. Let x(h) = -h - 33. Let r(g) = -3*q(g) + 8*x(g). Let l = 270 - 259. Calculate the remainder when 217 is divided by r(l).
41
Suppose 3*n + 23*w - 684 = 20*w, 0 = 4*w + 4. Suppose -5*h + 62 = 3*l - 88, 2*l + 175 = 5*h. What is the remainder when n is divided by h?
31
Let s be (28/(-36)*6)/(4/(-6)). Let d = 9 - s. Calculate the remainder when 6 is divided by d.
0
Let i(m) = m**2 + 107*m + 656. What is the remainder when i(-6) is divided by 19?
12
Suppose 14 = 3*y + 4*z - 6*z, -1 = y + 5*z. Suppose 4*n = n - 3*p + 27, -y*p = -3*n + 13. Let w = -43 - -61. What is the remainder when w is divided by n?
4
Let b(d) = 3*d**3 - 6*d**2 + 180*d - 147. Calculate the remainder when b(18) is divided by 42.
39
Suppose 1148 = 11*a + 3*a. Let h(s) = 4*s + 98. What is the remainder when a is divided by h(-14)?
40
Suppose 4*z + 23 = -o - 13, -5*o + 2*z = 290. Let r = o + 147. Calculate the remainder when r is divided by 19.
15
Let z(y) = 3*y**3 - 3*y**2 + 5*y + 5. Let x be z(6). Suppose 3*b + 2*q = 595, x = 3*b + q - 15. What is the remainder when b is divided by 22?
19
Let r(p) = 28*p**2 + 4567*p + 633. Calculate the remainder when r(-163) is divided by (-177)/(-4) + (-2)/8.
12
Let t = 91 - 84. Let i(q) = q**2 - 2*q + 2. Let f be i(0). What is the remainder when 36/(3/f - 0) is divided by t?
3
Let p = -2075 - -2419. What is the remainder when p is divided by 13?
6
Let r be 6 - 9250/111*30/(-4). Let y = 635 - r. Calculate the remainder when 36 is divided by y.
0
Let y(n) = -178*n - 856. Calculate the remainder when y(-12) is divided by 315.
20
Let t = 9071 + -8846. What is the remainder when t is divided by 53?
13
Let v be (-2192)/(-40) - (-1 + (-8)/(-10)). Suppose -k - 2*s = -v, -4*s - 175 = -k - 2*k. Let w = -14 + 29. Calculate the remainder when k is divided by w.
12
Calculate the remainder when 3006 is divided by (-15)/(-630)*14 - (-514)/6.
82
Let m be 5/(-1*2 - -3). Suppose y + 12*a = 11*a + 43, 4*y - 5*a = 199. Suppose m*r - 121 = -y. Calculate the remainder when r is divided by 6.
3
Suppose -32*s + 8853 = -3115. What is the remainder when s is divided by 21?
17
Let f(j) = -j**3 - 11*j**2 - 11*j - 11. Let o(g) = -2*g + 4. Let h be o(7). Let c be f(h). What is the remainder when (4 - (-15)/(-1))/c is divided by 4?
3
Let a = 1158 + -1118. Calculate the remainder when 1399 is divided by a.
39
Let c be (-4436)/36 - (-2)/9. Let x(y) = -50*y - 37. Let s be x(-5). Let z = c + s. What is the remainder when z is divided by 31?
28
Let g(v) be the third derivative of -7*v**4/24 - 28*v**3/3 - 2*v**2 + 11*v. Suppose 3*d - 30 = -93. What is the remainder when g(d) is divided by 24?
19
Suppose 5*h + 3*b - 138231 = 0, -2*h + 26200 = 2*b - 29090. Calculate the remainder when h is divided by 175.
173
Let o = -4411 - -9747. Calculate the remainder when o is divided by 267.
263
Suppose -3*k + 116 = 5*i, -3*i + 156 = -15*k + 20*k. Calculate the remainder when 14766 is divided by k.
24
Let h(y) = -3*y - 2. Let c = -57 + 57. Let p be h(c). Calculate the remainder when (7 + -8)/(p/138) is divided by 12.
9
Let a be (-49)/(-14)*(-4)/(-7). Suppose 0 = -p - 4*m + 508, 1891 - 317 = 3*p + a*m. Suppose 32 = -8*v + p. What is the remainder when v is divided by 21?
20
Let l(x) = x**3 - 8*x**2 + 12*x + 5. Calculate the remainder when 1222 is divided by l(6).
2
Suppose -l + 156 = 2*l. Let c = -784 + 811. Calculate the remainder when l is divided by c.
25
Let f(b) = -365*b - 391. Calculate the remainder when f(-6) is divided by 252.
35
Let c be (-160)/(-60)*(-3)/(-2). Suppose -j - 3*p = 2*j - 66, 0 = 2*j + c*p - 36. Calculate the remainder when 71 is divided by j.
19
Suppose -32 = -2*v - 3*p, -3*p - 182 = -4*v - 10. Suppose 3*b - 4*b + 236 = 0. What is the remainder when b is divided by v?
32
Let z(b) = b**3 + 35*b**2 + 63*b - 24. What is the remainder when 617 is divided by z(-33)?
17
Suppose 5*a + 3*m = 184, 0 = -a - 4*a - 4*m + 187. What is the remainder when 1503 is divided by a?
33
Let t(y) be the first derivative of 13*y**2 - 275*y - 244. Calculate the remainder when 41 is divided by t(11).
8
Let x be -2*-3*415/30. Let d = 69 - x. Let w(b) = -b**3 - 15*b**2 - 17*b + 2. Calculate the remainder when 172 is divided by w(d).
40
Let l be (-1)/((21/1329)/7). Let q = -405 - l. Calculate t