 What is the remainder when 1898 is divided by q?
98
Suppose -45*k + 23*k = -17*k - 200. Suppose 0 = 2*h + 5*l + 32, 3*h + 2*l = -2*l - 48. Calculate the remainder when k is divided by (168/h)/((-1)/2).
19
Suppose 4*b = -5*r + 29, 205*b + 7 = 207*b + 5*r. Calculate the remainder when 4069 is divided by b.
10
Let g(a) = 4*a - 1. Let b be g(1). Suppose 0 = -410*n + 845*n - 416*n - 3876. Suppose -b*l - 48 + n = 0. What is the remainder when 154 is divided by l?
50
Let s(t) = -108*t**2 + 467*t - 1. What is the remainder when 1924 is divided by s(4)?
117
What is the remainder when 325 is divided by (-174)/(-8)*770/(-165)*12/(-6)?
122
Suppose -2*m - 2*a + 74 = 0, 3 + 5 = -4*a. Let w(k) = -k**2 - 15*k + 329. What is the remainder when w(-23) is divided by m?
28
Let c = 42 + -37. Suppose -5*f - 360 = 3*v, -510 = c*f - 3*v - 120. What is the remainder when 64 is divided by ((-5)/(f/18))/(3/50)?
4
Let j = -219 - -67. Let n = j + 172. What is the remainder when 4*1/(-4)*-75 is divided by n?
15
Let n = 23 - 10. What is the remainder when n is divided by 1480/592*(-42)/(-15)?
6
Suppose 15*h - 16 = 7*h. Suppose 3*r - 5*c - 466 = 468, 5*r = h*c + 1582. Calculate the remainder when r is divided by 46.
42
Suppose -o + 3*r + 2 = 0, 4*r = -4*o - 13 + 37. Let v(t) = -t**2 + 5*t + 11. Let j(y) = -4*y + 2. What is the remainder when v(o) is divided by j(-1)?
5
Let i(x) = -770*x - 3021. Calculate the remainder when i(-19) is divided by 215.
214
Let p = 318 - 95. Suppose -5*d - p + 553 = 0. Let m = 80 - d. What is the remainder when 50 is divided by m?
8
Let r = -134 - -381. Let o = r - 220. Calculate the remainder when 92 is divided by o.
11
Suppose -250 - 518 = -24*z. Let k(v) = -v**3 - 5*v**2 + 5*v - 5. Let r be k(-6). What is the remainder when z is divided by 3/((-6)/(-26)) - r?
8
Suppose 32*f - 81617 = 50479. Suppose -5*t - 7*t = -f. What is the remainder when t is divided by 15?
14
Calculate the remainder when 9703 is divided by (45/6 - 5)*4/10*23.
20
Let i(d) = -79*d + 247. Let z be i(5). Let y = z - -202. Calculate the remainder when y is divided by 16.
6
Let m(c) = 8*c + 170. Calculate the remainder when 1451 is divided by m(-13).
65
Let s = -5257 + 5281. Let p(o) be the second derivative of -o**4/12 - o**3/3 + 63*o**2/2 - 4*o. Calculate the remainder when p(0) is divided by s.
15
Calculate the remainder when 366 is divided by 3 + -1 - (-37)/((-629)/(-1615)).
75
Let k be -1 + 1 - (4 - 16). Let g be ((-12)/9)/((-4)/k). Suppose 5*u - 1 = 3*f - 4, g = 4*f + 4*u. What is the remainder when 2 is divided by f?
0
Let t(o) be the third derivative of -29*o**4/24 - o**3/6 - o**2. Let f = 116288 + -116205. Calculate the remainder when f is divided by t(-1).
27
Suppose -5*s - 24*s = -16*s - 1105. Calculate the remainder when s is divided by 15.
10
Suppose -4*m = -1971 - 1329. Suppose -45*f - m = -56*f. What is the remainder when 447 is divided by f?
72
What is the remainder when 3619 is divided by 85*(-2 + 3)*(-62)/(-310)?
15
Let o = 54 + -22. Suppose -3*w + 120 = -2*n, 0*n - 2*w + 118 = -2*n. Let l = n + 66. Calculate the remainder when o is divided by l.
5
Let b(y) = y**2 - 24*y - 52. Let n be b(26). Suppose n = 2*v - 69 - 487. Calculate the remainder when v is divided by 28.
26
Let i = 5451 - 5394. Suppose -10 = -3*f + 2. Let v(w) = w**3 - 5*w**2 + 4*w + 5. What is the remainder when i is divided by v(f)?
2
Suppose 29*z + 32 = 13*z. Suppose -a = 3*a + 28. What is the remainder when 51 is divided by 1*a/(-14)*(24 + z)?
7
Suppose -7*s - 55 - 49 = -15*s. What is the remainder when 502 is divided by s?
8
Suppose 0 = 8*x + 2351 - 6599. Suppose x = -u + 576. Calculate the remainder when 166 is divided by u.
31
Let j(s) = -s**2 + 19*s + 11. Let r be j(14). Let o = -39 + r. Let z = o - -26. Calculate the remainder when z is divided by 12.
8
Let f = 1 - 1. Let m(b) = b**3 + 12*b**2 - 23*b - 12. Let t be m(-13). Suppose 4*w + 2*s = -0*s + t, 3*s - 3 = f. What is the remainder when w is divided by 15?
14
Let t be 2745 - (14/(-18) + (-22)/99). Suppose 909 = -11*p + t. Calculate the remainder when p is divided by 42.
41
Calculate the remainder when (-11)/(-3) + -4 + (-3361)/(-3) is divided by 102.
100
What is the remainder when -5 + (-63)/(-14) + (-20)/8 + 254 is divided by 36?
35
Suppose 0 = -267*y + 266*y + 18. Suppose -7*l = -67 + y. Calculate the remainder when 103 is divided by l.
5
Let m(i) = 3*i**3 - 242*i**2 - 81*i + 95. Calculate the remainder when 1990 is divided by m(81).
90
Let g(a) = -92*a**2 - 8*a. Let i be g(7). Calculate the remainder when (i/(-42))/((4/3)/2) is divided by 41.
40
Let f be 1 - 92/6 - (-8)/(-12). Let h be (0*(f/6)/5)/(-1). Suppose -2*q = 4*b - 86, 4*b - 5*q = -h*q + 93. Calculate the remainder when 152 is divided by b.
20
Suppose -o + n + 7 = o, 5*n = 5. Let f be o + 289/(-7) + (-4)/(-14). Let y = f - -40. What is the remainder when y is divided by 3?
0
Let l(a) = a**3 + 8*a**2 + 5*a - 5. What is the remainder when l(8) is divided by 9?
6
Suppose -5*n + 3939 = 1799. What is the remainder when n is divided by 108?
104
Let z(y) = 32*y - 147. Let v be z(5). Let r(w) = 2*w + 117. Calculate the remainder when r(v) is divided by 63.
17
Suppose c = -4*i + 82, -4*c = c - 5*i - 435. Calculate the remainder when c is divided by 32.
22
Let c(g) = -18*g - 5 - 22*g + 11*g. Let w be c(1). Let k = w + 40. What is the remainder when k is divided by 4?
2
Suppose 0 = -19*c - 25*c + 7*c + 1568208. What is the remainder when c is divided by 49?
48
Let t = -5890 + 8326. Let r = t - 2370. Let n(c) = -14*c**3 + c**2 + 2*c + 1. Calculate the remainder when r is divided by n(-1).
10
Suppose 5*f - 2*q = 32, -2*q - 33 = -5*f + q. Let i(v) = -v**3 + 9*v**2 - 23*v + 64. What is the remainder when 127 is divided by i(f)?
25
Suppose -190 + 12 = -f. Suppose -122 - f = -10*r. Calculate the remainder when 418 is divided by r.
28
Suppose -5*c + 2*j + 968 = 0, -4*c = -c + 4*j - 586. What is the remainder when 558 is divided by c?
170
What is the remainder when 1352 is divided by ((-805)/(-4025))/((-1)/(-3005))?
150
Let f(w) = w**2 - 9. Let b be 1/(14/(-66)) - (-30)/(-105). What is the remainder when 558 is divided by f(b)?
14
Suppose -f = 5*f - 174. Suppose -3*h = 5*i + 40, 0 = 5*h + i - 2 + 32. Calculate the remainder when f is divided by h*(2 + -5 + 1).
9
Let s = 72 + -50. Suppose 3*d + 21*c - 26*c - 642 = 0, 0 = 8*d + 2*c - 1666. What is the remainder when d is divided by s?
11
Let x be (-192 - 10/2)*1. Let q = 234 + x. What is the remainder when 73 is divided by q?
36
Suppose 285*y - 150 = 280*y. Calculate the remainder when y is divided by 9.
3
Let q(u) = u**2 - 25*u + 9. Let h be q(8). Let r = h - -365. What is the remainder when r is divided by 40?
38
Let z(h) = -15*h + 1676. What is the remainder when z(15) is divided by 48?
11
Let x(l) = l**3 - 27*l**2 - 320*l + 4. Calculate the remainder when 881 is divided by x(36).
141
Let j = -2186 - -1298. Let x be -2 + j/(-10) - (-3)/15. Suppose 10*w = 7*w + x. What is the remainder when w is divided by 6?
5
Suppose -5*p - 1882 = 2*k + 1058, -4*p + 5852 = -4*k. Let m = -835 - k. Suppose -5*t + 105 = -m. Calculate the remainder when t is divided by 38.
33
Let h(g) = -3995*g + 183. Calculate the remainder when h(-1) is divided by 17.
13
Let m = -36 + 64. Let u be 716/18 - (m/(-63))/2. Suppose 0*g = 5*g - u. What is the remainder when 29 is divided by g?
5
What is the remainder when (-154185)/380*(-16)/6 is divided by 71?
17
Let f(n) = n**2 - 11*n + 27. Let i be f(0). Suppose i*w = 26*w + 14. Calculate the remainder when 50 is divided by w.
8
Let a = 19608 + -19488. Calculate the remainder when 246 is divided by a.
6
Suppose -166*b = -126*b - 280. Let y(k) = -24*k. Calculate the remainder when y(-1) is divided by b.
3
Let x = 173 + -100. Suppose 41*o - 32468 = -31402. Calculate the remainder when x is divided by o.
21
Let c(y) = 169*y - 3278. Calculate the remainder when c(22) is divided by 133.
41
Let t(m) = 8*m**2 + 2*m - 3. Suppose 7 + 2 = 3*s. Suppose 4*d - s = -k, 5 = 5*d + k - 0. What is the remainder when t(d) is divided by 17?
16
Suppose 2*x - 24 = -3*g + 41, 3*g - 67 = -x. What is the remainder when 1168 is divided by g?
18
Let o(v) = -11*v**2 + 1160*v + 87. Calculate the remainder when o(103) is divided by 65.
8
Let s = 114