 5/(-30) + 40/72*269898/20 is divided by 125.
122
Let m = 17113 + -17053. What is the remainder when 3310 is divided by m?
10
Let w = -255 + 560. Suppose -4*i + 292 = 4*d + 12, -4*d + i = -w. What is the remainder when 221 is divided by d?
71
Let w(a) = 4*a + 71. Let h be w(-14). Let v(g) = -g**3 + 18*g**2 - 19*g - 9. What is the remainder when v(h) is divided by 48?
45
Calculate the remainder when 0/(6 - 12) - (-3 - 976/2) is divided by 252.
239
Let r(a) = 5*a**2 - 31*a - 110. What is the remainder when 3309 is divided by r(9)?
13
Let z = -166 - -168. Suppose 3*h - 131 = f, 4*h + z*f - 116 = h. Calculate the remainder when h is divided by 5.
2
Suppose 0 = s - 27 + 12. Suppose 0 = -21*v + 18*v + s. Suppose -r - 139 = -v*a, r + 112 = 4*a - 0*a. What is the remainder when a is divided by 14?
13
Suppose -73*z + 2697 + 7923 = 1495. Let h = -34 + 63. Calculate the remainder when z is divided by h.
9
Let z = -37 - -52. Let c(r) = -r**3 - 10*r**2 + 5*r + 52. Let f be c(-11). Let n = 124 - f. Calculate the remainder when z is divided by n.
3
Suppose 0 = -c - 1, -5*c - 10 = 6*y - y. Let t be (y + 532/(-20))*(-15)/6. Let g = 119 - t. Calculate the remainder when g is divided by 14.
8
What is the remainder when -2*12/360 - 9751/(-15) is divided by 216?
2
Let f(j) be the third derivative of 7/6*j**5 + 1/3*j**3 + 0*j + 0 + 1/12*j**4 + 6*j**2. Calculate the remainder when f(-1) is divided by 8.
6
Let r(q) = -q**3 - 19*q**2 + 14*q - 62. What is the remainder when 69 is divided by r(-20)?
11
Suppose 0*m - 4*m + 168 = -5*b, 54 = -2*b - 5*m. Calculate the remainder when 54 is divided by (-24)/(-14)*(b/(-4) - -6).
6
Suppose 0*z = 6*z + 114. Let v = -19 - z. Suppose v = j + j + 3*h - 28, 0 = h. What is the remainder when j is divided by 3?
2
Suppose -22*h + 6119 = 4777. Calculate the remainder when 181 is divided by h.
59
Suppose -3*v = -8 + 5. Suppose -3*k = 3*c - 4*c - v, -c - 5*k = -7. Suppose -2*j = 8, -3*r + 0 = j - 5. Calculate the remainder when r is divided by c.
1
Let p(x) = -406*x + 90. Let m be p(-4). Suppose -5*u + m = -36. What is the remainder when u is divided by 16?
14
Suppose -4*n - 3*g + 33 = 0, 0*n + 3*n = g + 28. Let p(j) = -2*j**2 - 112*j - 173. Calculate the remainder when p(-54) is divided by n.
7
Suppose -4*q = 0, 5*q = 2*n - 63 - 358 - 271. What is the remainder when n is divided by 83?
14
Let l(q) = -12*q**3 - 18*q**2 - 96*q - 8. Calculate the remainder when l(-7) is divided by 78.
76
Let l(o) = 58*o + 3920. What is the remainder when l(-65) is divided by 61?
28
Let v(y) = -11*y**2 + 17*y**2 - 9 - y**3 - 5*y**2 - 9*y**2 - 50 + 18*y. Calculate the remainder when v(-12) is divided by 28.
21
Suppose 8*m - 458 = -4*m - 86. Let y = -80 + 232. What is the remainder when y is divided by m?
28
Let k(c) = -4408*c**2 - 18 - c**3 + c + 5 - 3*c + 4387*c**2. Calculate the remainder when k(-21) is divided by 20.
9
Let m(o) = 4*o**2 + 9*o - 7. Let u(n) = -1. Let d(i) = m(i) - 6*u(i). Let q be 5/(5*3/(-12)). What is the remainder when d(q) is divided by 10?
7
Let i(z) be the second derivative of -z**3/6 + 37*z**2 + 56*z. Calculate the remainder when 80 is divided by i(0).
6
Let k = 2289 - 2210. Suppose -5*w = -6*w + 11. Suppose 2*b = k - w. Calculate the remainder when b is divided by 12.
10
Let c = 9 - 6. Let y(f) = 3*f + 14. Let v be y(-4). Suppose 4*h + l - 51 = -v*l, -2*h - l + 27 = 0. What is the remainder when h is divided by c?
0
Suppose -34*u + 48*u = 2912. Calculate the remainder when 17 is divided by (-9)/(-1)*(-8 - u/(-24)).
5
Let l be -4*(-5)/10*2. Suppose 0*y - 241 = -3*y + 2*r, -l*y + r + 318 = 0. Let s(c) = c**2 + 2*c - 4. Calculate the remainder when y is divided by s(-6).
19
Suppose -381 = -30*o + 5349. Suppose -o + 142 = -v. Calculate the remainder when v is divided by 6.
1
Suppose 115 + 25 = 35*s. Suppose -2*p + 64 = -0*p + 2*z, -s*p - 5*z + 123 = 0. What is the remainder when 105 is divided by p?
31
Let x = -61 - -96. What is the remainder when 160/(-96)*(-318)/10 is divided by ((-6)/(-15))/(1/x)?
11
Suppose 0 = -215*m + 212*m - 60. Suppose -5*w = -146 + 1. Let z = w + m. Calculate the remainder when 15 is divided by z.
6
Suppose 9*q - 4*q = 35. Let a(w) be the third derivative of w**6/120 - w**5/6 - 3*w**4/8 - 2*w**3 + 4*w**2. What is the remainder when a(11) is divided by q?
3
Let x = 376319 + -376312. Let a = 130 - 80. Calculate the remainder when a is divided by x.
1
Suppose 2*m = -12*p + 9*p + 2904, 8 = 4*p. What is the remainder when m is divided by 121?
118
Let i(w) = w**2 + w + 12. What is the remainder when -7 + (3*30/9 - (-159 - -94)) is divided by i(0)?
8
Suppose 4*s = 5*b - 643, s = b + 4*b - 652. Let h = 146 - b. Suppose -3*d - 100 = -4*w, 128 = 2*w + 3*w - 3*d. Calculate the remainder when w is divided by h.
13
Let m = -9075 - -9129. Let z(u) = 2*u**2 + 8*u + 4. Let l be z(-5). Suppose 0 = h + 5*s - m, 26 = h - 2*s - l. Calculate the remainder when 128 is divided by h.
40
Let b(s) = 6*s**2 + 13*s + 13. Let h(i) = 5*i**2 + 11*i + 12. Let p(c) = 6*b(c) - 7*h(c). What is the remainder when 52 is divided by p(3)?
4
Suppose 3*m - 3*c - 186 = 0, -3*m + 62 = -2*m + c. Let j = 40 - 23. Let d = -9 + j. What is the remainder when m is divided by d?
6
Let h(q) = -140*q - 259. What is the remainder when 156 is divided by h(-2)?
9
Suppose 0 = 4*g - 16, -3*v - 40 = g - 167. Let w be 6/21 - 299/(-7). Suppose 1 = 2*s - w. What is the remainder when v is divided by s?
19
Let b = 1619 + 1783. Calculate the remainder when b is divided by 15.
12
Let r(p) = -p**2 - 6*p + 64. Let f be r(-9). Suppose -2*k - k = -5*d - 125, k - 4*d = f. What is the remainder when 263 is divided by k?
38
Suppose -2*j + 3*m = -17, 5*j = j + 4*m + 28. Suppose j*o = 250 - 234. What is the remainder when 72 is divided by o?
0
Suppose p = -0*p + 20. Let c = -434 + 441. Suppose -584 + 38 = -c*l. Calculate the remainder when l is divided by p.
18
Let j = -319 + 447. Suppose 42*q + 60 = 32*q. Calculate the remainder when j is divided by (-2409)/(-187) + q/(-51).
11
Suppose -22 = -2*c + 12. Let j = -258069 + 258355. Calculate the remainder when j is divided by c.
14
Let x = 6957 - 6819. Let u(f) be the first derivative of f**4/4 + 3*f**3 + 4*f**2 + 5*f - 2. What is the remainder when x is divided by u(-7)?
44
Suppose -4*w + 30 = -34. Suppose -4*o + 8 = -4*b, -4*b - w = -2*o - 0*o. Calculate the remainder when 25 is divided by 4/b - (-230)/30.
4
Calculate the remainder when 521 is divided by 7/(14/250) - -4*(-35)/(-20).
125
Suppose 486*q - 220145 - 1531105 = -139*q. What is the remainder when 5608 is divided by q?
4
Let l = -18495 - -20016. Calculate the remainder when 4571 is divided by l.
8
Calculate the remainder when 808 is divided by (-237)/395*135/(-1).
79
Let w be (-1)/(-2) - 4/(104/(-195)). Suppose 4*p - i - 21 = 0, w*p + 4*i + 19 = 11*p. Suppose -j + 3 = -5. What is the remainder when j is divided by p?
3
Let c be (-62)/6 - 1/(-3). Let a be (0 + 1 - -4)*78/c. Let j = 71 + a. What is the remainder when 125 is divided by j?
29
Let i(x) = -2*x**3 - 20*x**2 + 7*x - 4. Let d be i(-11). Suppose 155*z + 144 = d*z. What is the remainder when 141 is divided by z?
21
Suppose -29*n + 34*n - 25 = 0. Suppose 27 = -5*d + 3*j + 91, -3*d + n*j + 48 = 0. Suppose -2*y + d = -9. What is the remainder when 22 is divided by y?
2
Let h(f) = 4*f + 155. Let n be (-294)/(-35)*(-5)/2. Calculate the remainder when h(n) is divided by 41.
30
Calculate the remainder when (-95 - 2)*((-336)/14 - -9) is divided by 34.
27
Let w = -2722 + 2773. Let l(a) = -a**3 - 4*a**2 - 3*a + 2. Let h be l(-3). Suppose 7*t - 65 = h*t. What is the remainder when w is divided by t?
12
Suppose 0 = 5*p + 3*b - 9424 + 471, -3*p + 4*b + 5337 = 0. What is the remainder when p is divided by 357?
2
Let h = -16239 - -17029. What is the remainder when h is divided by 145?
65
Suppose -2534*i = -2495*i - 15054. Calculate the remainder when i is divided by 200.
186
Let l be (5 - 1 - (-132)/(-42))*-7. Calculate the remainder when 204 is divided by 9 + (l + 2 - -4).
6
Suppose 2*k + 35 = -3*n, k + 0*n - 3*n = -22. Let z(a) = 3*a**2 + 46*a - 16. Calculate the remainder when z(k) is divided by 13.
11
Let y(z) = -z**3 + 17*z**2 + 23*z - 57. What is the remainder when 97 is divided by y(18)?
31
Let w be (-2 - 33/(-27)) + 22/(-