i(n) = n**3 - 6*n**2 + 23*n - 72. Calculate the remainder when 52 is divided by i(j).
16
Let j(p) = 2*p**3 + 2*p**2 - 4*p + 1. Let c = -28 + 31. Let t be j(c). Let n = 114 - t. Calculate the remainder when n is divided by 15.
8
Let v = 12 - 10. Let f(z) = -z**3 - 17*z**2 + 21*z + 63. What is the remainder when 1*61 - (-2)/v is divided by f(-18)?
8
Suppose -2*y + 13 = -3*n, 3*y - 17 - 10 = 3*n. Let d = -5700 + 5824. What is the remainder when d is divided by y?
12
Let j(o) = 589*o - 319. Calculate the remainder when j(5) is divided by 56.
50
Suppose -2*u - 8 = 0, -x + 2547 = 4*x - 3*u. Calculate the remainder when x is divided by 23.
1
Let v(j) = 36*j**2 + 8*j + 46*j**2 - 86*j**2 - j**3 - 17. What is the remainder when v(-6) is divided by 3?
1
Let y = -104 - -156. Suppose 16*r + 25848 = y*r. What is the remainder when r is divided by 9?
7
Let g be (-310)/(-11) - 16/88. Suppose -11*b + 9*b = -g. Suppose -b*p = -3*p - 957. Calculate the remainder when p is divided by 31.
25
Let v = 3475 + -3153. What is the remainder when v is divided by 110?
102
Suppose 3*h + 14*o - 242 = 10*o, -4*h + 316 = 2*o. Suppose 22 = -7*a + 211. What is the remainder when h is divided by a?
24
Let p = -1318 + 1857. Suppose -8*z + z = -p. What is the remainder when z is divided by 52*(-3)/(2*-6)?
12
Suppose -2*m = -48 - 58. Let r(b) = 12*b - 128. Suppose o - 4*g - 29 + 4 = 0, 4*o - 37 = -5*g. Calculate the remainder when m is divided by r(o).
25
What is the remainder when (1 + 1/5)/(3603/2474060) is divided by 158?
34
Let b = 64 - -86. Let s = b + -138. Calculate the remainder when 45 is divided by s.
9
Let w(k) = 258*k - 161. Calculate the remainder when w(2) is divided by 178.
177
Calculate the remainder when 1/(((-108)/(-12))/792) is divided by 6.
4
Let o(b) = 0*b**3 + 21 + 4*b**3 - 3*b**3 + 46*b**2 - 61*b**2 - 16*b. Calculate the remainder when 73 is divided by o(16).
10
Let m(v) = -v**2 - 6*v + 5. Suppose -102*o + 528 = -94*o. Calculate the remainder when o is divided by m(-6).
1
Suppose -r + 15 = 2*r, 4*r - 100 = -4*x. Suppose -2*l = -2*v - x, 5*l + 6*v = v + 10. Suppose 0 = 5*f - 26 - 44. Calculate the remainder when f is divided by l.
2
Let i(k) = 3*k - 13. Let d be i(14). Let q = d - 27. Suppose 3*n - 2*n = 1, 4*a = -n + 29. What is the remainder when a is divided by q?
1
Suppose 5*w - h + 348 = w, 0 = -2*h. Let b = -7 - w. Suppose -2295 = -547*q + 9192. Calculate the remainder when b is divided by q.
17
Let g(l) be the first derivative of -l**4/4 + 7*l**3/3 + 3*l**2 - 15*l - 4. Let f be g(8). Let h = f - -62. What is the remainder when h is divided by 17?
14
Let g = 28510 - 28491. Suppose b - 3*b = -94. Calculate the remainder when b is divided by g.
9
Suppose 88984 = -5*m + 12*m + 49*m. What is the remainder when m is divided by 230?
209
Suppose 961*j = 956*j + 10695. Calculate the remainder when j is divided by 14.
11
Let u = -50 - -80. Let d be ((0/(-3))/5)/(-5 + 1). Suppose 3*w - 4*w + 149 = d. Calculate the remainder when w is divided by u.
29
Calculate the remainder when 10646 is divided by (11 - 5 - 2)/(6/75).
46
Let n(o) = -520*o**3 + 5*o**2 - 23*o - 47. What is the remainder when n(-2) is divided by 43?
8
Let j be (-1 + 62/(-4))*(-72)/27. Let l = j - 32. Let d = 1 + l. Calculate the remainder when 37 is divided by d.
11
Suppose 739 = 2*m - w, -5*m - 5*w + 905 = -920. Calculate the remainder when m is divided by 11.
5
Suppose -382*i - 8716 + 26386 = -320*i. Calculate the remainder when 583 is divided by i.
13
Let x = 399 + -208. Let w = -179 + x. What is the remainder when 68 is divided by w?
8
Suppose 7 = 5*b - x, 14 = 2*b + 5*x - 5. Suppose 4*z - f = 536, f = b*z - 3*f - 282. Calculate the remainder when z is divided by 15.
13
Suppose 80*p - 76*p - 1722 = 718. What is the remainder when p is divided by 204?
202
What is the remainder when 178 is divided by (-10)/(20/(-14)) + -5 + (-1 - -22)?
17
Suppose 4*g - 224 = -2*i - 70, -2*i - 31 = -g. Let t = g - 6. Calculate the remainder when 137 is divided by t.
13
What is the remainder when 452 is divided by (17 - 12) + (-1216)/(-19)?
38
Let f(h) = -14*h - 1. Suppose -60*l + 1176 = 15*l - 4599. Calculate the remainder when l is divided by f(-2).
23
Let q = 110 - 72. Let p = -293 + 359. What is the remainder when p is divided by q?
28
Suppose -3*l - 2*x + 54 = 0, -4*l - 5 = x - 72. Suppose -4*t + l = 0, -t = -2*k + 2*t + 4. Calculate the remainder when (-4)/(-8)*-2*-31 is divided by k.
7
Suppose 224 = 4*x + h, 237*x - 3*h - 112 = 235*x. Let m(b) = 6*b**2 + 3*b + 2. What is the remainder when m(5) is divided by x?
55
Suppose 0 = t - 2*q - 303, 4*q = 2*t + 9*q - 543. What is the remainder when 972 is divided by t?
105
Let g(b) = -b**2 + 41*b + 2280. What is the remainder when 677 is divided by g(71)?
77
Suppose -3*z + 2*z - 3*z = 0. Suppose 2*t - 3*t + 21 = z. What is the remainder when 184 is divided by t?
16
Let q = 60 + -25. Suppose -3*u + b + 727 = 0, -4*u + 907 = -3*b - 74. Calculate the remainder when u is divided by q.
30
Let c(w) = -485 + 50*w**2 - 7*w**2 - 17*w + 460 - 2*w**3. What is the remainder when 350 is divided by c(21)?
55
Suppose -3*i + 4*h = -86, -i + 54 = i - h. Suppose -i*x = -6*x - 260. What is the remainder when 192 is divided by x?
10
Suppose 2*s - 55 = -h, 2*h + 2*s - 3*s - 105 = 0. Suppose -124 = -12*f - 28. Calculate the remainder when h is divided by f.
5
Let i(b) = -2*b**3 - 5*b**2 + 50*b + 186. Let q = -6 + 40. What is the remainder when i(-4) is divided by q?
0
Suppose -3374 = -2*h + 4*v, 0 = 142*v - 137*v + 5. Calculate the remainder when h is divided by 19.
13
Suppose -5*d = 4*d - 288. What is the remainder when (-44)/308*(-425 + -2) is divided by d?
29
Let i(c) = 49*c - 316. Let z be i(8). Suppose 2*a + 2*g - z = 0, -2*a + 5*g + 18 = -23. Calculate the remainder when a is divided by 9.
6
Let a = 261 + -62. Suppose 0 = -7*j + 2*j - 3*k + a, -2*k + 201 = 5*j. Suppose 32085 - 3685 = 355*y. Calculate the remainder when y is divided by j.
39
Let t(u) = -u**3 + u**2 - u - 35. Let j(b) = b**3 + 23*b**2 - b - 27. Let p be j(-23). What is the remainder when 188 is divided by t(p)?
41
Suppose -120*v + 4 = -124*v. Let z(m) = -7*m**3 - 3*m**2 - m + 1. What is the remainder when 2/((-5)/80*-2) is divided by z(v)?
4
Suppose -5*v - 20 = -5*b, 0 = 3*b - 4*v + 1 - 15. Suppose -32 = -3*n - 2*u, -b*n + n + 3*u = 4. What is the remainder when (138/n)/((-1)/8*-2) is divided by 18?
15
Suppose 6*a - 9 = -69. Let v be (145/a + 6)*-1*4. Suppose 2*d + v = -3*b + 116, 4*b - 2*d = 100. Calculate the remainder when 153 is divided by b.
23
Suppose 4*o - 60 = -12. Suppose -26 = -4*d - 7*a + 8*a, 2*d + a = 10. Suppose d*h - 165 = h. What is the remainder when h is divided by o?
9
Let z = 615 - 539. Calculate the remainder when z is divided by 24.
4
Suppose 3*j + 12*z = 9*z + 6705, 2*j + 3*z = 4469. What is the remainder when j is divided by 249?
244
Let a be (4/(-4))/(1/175). Let l be (-5)/a*5 - (-68)/14. Suppose l*i - 7 = 73. What is the remainder when 22 is divided by i?
6
Calculate the remainder when 4/(-10) + 129456/290 is divided by 77.
61
Let n(p) = -18*p**3 - 3*p - 10. Calculate the remainder when n(-2) is divided by 47.
46
Let g be 2/7 + 936/252. Suppose -g*o + 108 = -132. What is the remainder when o is divided by 31?
29
Let n(m) = 2*m + 6*m + m**2 + 9 - 2*m - m. Let b be n(-5). What is the remainder when 69 is divided by (b - 8)/(1 + (-36)/38)?
12
Let g = -9223 + 9397. What is the remainder when g is divided by 45?
39
Let f be (-5)/(-4)*(-6 + -94). Let j = f + 86. Let u = 55 + j. What is the remainder when 47 is divided by u?
15
Suppose 0 = -5*m + n - 1, 5 + 1 = 2*m - 2*n. Let l(i) = -13*i**3 - 2*i**2 + 1. What is the remainder when ((-2)/2 + 3)/((-4574)/(-84619)) is divided by l(m)?
1
Let u be 5 + -4 + 3 - 1. Suppose -u*t + 121 = 4*h - 42, 4*h - 4*t - 128 = 0. Calculate the remainder when 68 is divided by h.
31
Suppose 0 = 5*w + 4*y - 6251, 0 = -2*w - 5*y + 1214 + 1283. Calculate the remainder when w is divided by 138.
9
Suppose w - 228*f - 57 = -232*f, -5*f = 5*w - 330. What is the remainder when 100 is divided by w?
31
Calculate the remainder when ((-1377)/(-24))/(68/544) is divided by 23.
22
Let y be (-1)/(-5) + (-778)/(-10) + 4. Let j = y - 67. Let c(r) = 3*r**2 - 4*r - 4. Calculate the rema