is divided by k?
38
Let r = 3 + -75. Suppose 2*k = 69 - 15. Calculate the remainder when k is divided by r/(-10) + (-3)/15.
6
Let r = 8821 - 8813. Calculate the remainder when 768 is divided by r.
0
Suppose -4*n = 394 - 138. Suppose -p - 3*m = -54, p = -p - 2*m + 116. Calculate the remainder when p is divided by (2 - n/(-20))/(2/(-15)).
6
Let s be ((-14)/35 + (-4)/(-10))/1. Suppose s = 2*f - 122 + 46. Suppose -4*u + u + 21 = 0. Calculate the remainder when f is divided by u.
3
Let t be 1/(9/(-24))*(-6108)/16. Suppose -401 = -3*x + t. Suppose -16*n - x = -27*n. Calculate the remainder when n is divided by 23.
20
Suppose -c + 1 = -2*c, -4*c = i - 3. Let w(p) be the second derivative of p**4/4 - 8*p**3 + 9*p**2/2 - 61*p. What is the remainder when w(16) is divided by i?
2
Let f = 24 - 10. Suppose -4*o + 5*o - 69 = -s, 0 = s - 2*o - 54. Let l = -11 + s. What is the remainder when l is divided by f?
11
Suppose 2*p + 0*p - 6 = 0. Suppose m - p*m = 4. Calculate the remainder when 22 is divided by ((-5)/15)/(m/72).
10
Suppose 1023 = g + 2*g - 4*f, -5*f + 1302 = 4*g. What is the remainder when g is divided by 17?
10
Suppose -4921 - 79 = -40*i. What is the remainder when 742 is divided by i?
117
Let f(c) = c + 5. Let k(n) = -84*n + 59. Let h(w) = 3*f(w) - k(w). Calculate the remainder when h(2) is divided by 30.
10
Suppose 5*a = -7*v - 4*v + 58550, -5*v = -2*a + 23373. What is the remainder when a is divided by 75?
74
Suppose -u = -3*y + 91, -y + 2*u = -u - 33. Let w = 101 + -92. Calculate the remainder when y is divided by w.
3
Suppose 4*h + 1542 = 5*q, 28*q - 27*q + 2*h - 314 = 0. What is the remainder when 1028 is divided by q?
98
Suppose 5*w + 3*q - 19 = 0, -4*q = -2*w - 3 - 5. Let h = 51 - 11. Suppose -h = -w*k - 0*k. Calculate the remainder when 37 is divided by k.
17
Let g = -11263 - -11427. What is the remainder when 181 is divided by g?
17
Let c(w) = 7*w**3 + 2*w**2. Calculate the remainder when 773/11 - (-258)/(-946) is divided by c(1).
7
Let g = 9 - 4. Let z be (-24)/4 - (-126 - 0). Let t = z + -100. What is the remainder when t is divided by g?
0
Let q(j) = 5*j + 103. Let a be q(-20). Suppose 4*u - 441 = 3*v, 429 = 4*u + a*v - 2*v. Calculate the remainder when u is divided by 28.
24
Let c(a) = 117*a**2 - 2 + 15*a - 113*a**2 + 8. Let p be c(-6). Suppose p*m + 24 = 63*m. Calculate the remainder when 25 is divided by m.
1
Let m(h) = h**2 + 3. Let j be 5/(-10) - (-2)/4. Let f be m(j). Calculate the remainder when 32 is divided by ((-91)/(-21))/(2/18*f).
6
Let b = -2 + -4. Let f(g) = 7*g - 108. Let u(c) = -12*c + 175. Let a(d) = -5*f(d) - 3*u(d). Calculate the remainder when 24 is divided by a(b).
6
Let c = -236 + 226. What is the remainder when 43 is divided by (4/c + 295/50)*2?
10
Let g = 6290 - 5712. What is the remainder when g is divided by 49?
39
Let d = -94 - -105. Suppose -d*z = 4*z - 13350. Suppose 5*h = -0*h + z. What is the remainder when h is divided by 45?
43
Let s(p) = 9*p - 1. Let x be s(1). Suppose -25*u + 4654 = u. Suppose -u + 3 = -x*q. Calculate the remainder when 87 is divided by q.
21
Let y(j) = -j**2 + 8*j. Let l be (-1)/(-4) - 443/(-4). Let x = 114 - l. Calculate the remainder when 56 is divided by y(x).
11
Let j(t) = -t**3 + 8*t**2 + 9*t + 22. Suppose 3*c - 3*l - 393 = 0, 0 = -2*c + l + 204 + 57. What is the remainder when c is divided by j(9)?
20
Suppose -c + s + 48 = 0, s + 152 = 3*c + 6*s. What is the remainder when c is divided by 15?
4
Let a = -11612 - -12072. What is the remainder when a is divided by 78?
70
Let j = -440 - -668. Suppose -153 = -5*p + 4*u, 0*p - u + 36 = p. What is the remainder when j is divided by p?
30
Suppose w = -55 + 58. Suppose 0 = w*i + 191 - 218. Calculate the remainder when 350 is divided by i.
8
Suppose 0 = 61*r - 75*r + 4214. What is the remainder when r is divided by 96?
13
Suppose 11570 = 4*l - 5*z + 838, l - 6*z - 2683 = 0. Calculate the remainder when l is divided by 32.
27
Suppose -h + 5*p + 47 = 4*p, -165 = -3*h - 5*p. Let t = 37 - h. Let g = 95 + t. Calculate the remainder when g is divided by 14.
12
Let t be ((-2)/18*-3)/((-8)/(-1968)). Let m = t - 50. Suppose -8 - m = -i. Calculate the remainder when 159 is divided by i.
39
Let z(o) = -15*o + 27. Let g(c) = 8*c - 13. Let x(s) = 7*g(s) + 4*z(s). Let m be x(5). Calculate the remainder when 23 is divided by ((-72)/2)/m - 4.
7
Let r(k) = 3*k**3 + 29*k**2 + 39*k + 48. Calculate the remainder when r(-8) is divided by 17.
5
Suppose 0 = -2*r - 10, 193 = -3*a - 2*r. Let m = a - -148. Let b = -105 + 127. What is the remainder when m is divided by b?
21
Suppose 280 = 2*a - 3*n + 5*n, 3*a + n - 412 = 0. Suppose t + 7*t = -a. Let o = 3 - t. Calculate the remainder when o is divided by 11.
9
Let t(v) = 12*v**2 - v - 5. Let i be t(-2). Let y be (-4 + i/10)*-2. What is the remainder when 37 is divided by (-5)/10*-8 - y?
2
Let j = -7429 - -9215. What is the remainder when j is divided by 59?
16
Suppose 161*p - 29866 - 10534 = -239*p. What is the remainder when 15652 is divided by p?
98
Suppose -24*v = -0*v + 15*v - 9438. Calculate the remainder when v is divided by 30.
2
Let l = 123 - 123. Suppose 2*r - 56 - 34 = l. Calculate the remainder when 88 is divided by r.
43
Let c(x) = x**2 - 23*x - 76. Let s(w) = w + 5. Let o be s(3). Suppose o*t - 9*t = -7. Calculate the remainder when t is divided by c(-3).
1
Let t(u) = -67*u. Suppose -6*n = -52 + 10. Suppose 0 = -n*v + 28*v - 357. Calculate the remainder when t(-1) is divided by v.
16
Suppose 0*a + 5*a = 970. Suppose -a = -5*i + 166. Suppose 0 = 152*j - 3682 - 118. What is the remainder when i is divided by j?
22
Let r(h) be the second derivative of -2*h**3/3 + 47*h**2 + 3*h - 12. Calculate the remainder when 157 is divided by r(21).
7
Suppose -3*k = 52*y - 57*y - 1614, -y - 6 = 0. Calculate the remainder when k is divided by 89.
83
Suppose 54*t = 57*t + 3*w - 2001, 5*t - 3*w - 3287 = 0. Calculate the remainder when t is divided by 67.
58
Let w = -205 + 213. Suppose -w*v + 583 = -561. What is the remainder when v is divided by 36?
35
Let q = 8945 + -8930. Suppose -3*w + 136 = -4*l, -5*w - 3*l + 172 = -45. Calculate the remainder when w is divided by q.
14
Let t(r) = 4*r**3 + 34*r**2 - 12*r - 64. What is the remainder when t(-8) is divided by 56?
48
Calculate the remainder when 966 is divided by (7/(140/8))/((-30)/(-750)).
6
Let r = 3879 + -3856. What is the remainder when r is divided by ((-4)/(-6))/(2/15)?
3
Let n = 33 + -15. Suppose 4*k + n = 5*k. What is the remainder when 67 is divided by 15*(k/5)/3?
13
Let d(w) = w**3 + 8*w**2 + 4*w - 9. Let z be d(-7). Let h(b) = -2*b + 21. What is the remainder when ((-20)/(-3))/(1/z) is divided by h(-10)?
39
Suppose -15*n - 33856 = -79*n. Calculate the remainder when n is divided by 105.
4
Suppose -2*w - 3 = 1. Let m(o) = -5*o**3 + o - 3. Calculate the remainder when 501/(4 - 1) + (7 - 1) is divided by m(w).
33
Suppose 5*k = -5*o - 15, -k - 5 = 3*o - 0*k. Let m be o/2 + (-1687)/(-14). Let w = m + -82. What is the remainder when w is divided by 10?
8
What is the remainder when 26179 is divided by -9 + 22 + 28 - 22?
16
What is the remainder when 162 is divided by (-1 + 1 + -5)*(-57)/5?
48
Let i(f) = -6*f**3 - 2*f**2 - 7*f - 6. Let z be i(-1). Suppose 0*n - 142 = -z*q + 3*n, -3*q = -5*n - 82. What is the remainder when 228 is divided by q?
25
Suppose -3*b + y = -16, 2*b + 32 = 7*b - 3*y. Suppose b*c = 20 + 12. Suppose 333 = c*f + 53. What is the remainder when f is divided by 12?
11
Suppose 6*o = -27 + 123. What is the remainder when 116 is divided by (-2*(-3 - -4))/(o/(-248))?
23
Let y = -2777 + 2852. What is the remainder when 1346 is divided by y?
71
Suppose 0 = -i + 25 + 11. Let s be (-18)/(-15)*(-4)/6*-40. Suppose 0 = s*n - 45*n + 910. What is the remainder when n is divided by i?
34
Let f(x) = 14*x**3 + 7*x**2 - 6*x + 4. Calculate the remainder when 2335 is divided by f(1).
17
Let h be (202/8)/((-17)/(-136)). Let q = -175 + h. Let r(b) = 10*b. What is the remainder when r(4) is divided by q?
13
Let u(x) = -3*x**2 + x + 2. Let c be u(2). Let s = 28 + c. Calculate the remainder when s is divided by 11.
9
Let t = -16704 - -16711. What is the remainder when 24835 is divided by t?
6
Suppose -7*j + j = -60. Suppose 0 = 2*p - j, -2*u = -5*u - 4*p + 41. Suppos