he remainder when m is divided by 130.
31
Let l = 30 - 24. Let y be (((-28)/l)/((-4)/(-6)))/(-1). Suppose 0 = 4*r + t - 64, -r + t + 9 = -y. Calculate the remainder when r is divided by 9.
7
Let p(k) = k**3 - 24*k**2 - 24*k - 11. Let n(f) = -f**3 + 2*f**2 + 25. Let w be n(0). Calculate the remainder when 55 is divided by p(w).
13
Let b(c) = -5*c - 227. Let n be b(-31). What is the remainder when 23 is divided by ((-88)/264)/(2/n)?
11
Suppose 16*s = 3*i + 11*s - 731, 0 = -3*i - 3*s + 699. Calculate the remainder when i is divided by 4*(4 - 3) + 57.
54
Let b = -1337 + 1378. What is the remainder when 133 is divided by b?
10
Suppose 2*d - 5*h + 628 = -2*d, 4*d - 3*h + 628 = 0. Let l = -76 - d. Suppose 140 = 4*r + 24. Calculate the remainder when l is divided by r.
23
Suppose -3*c - l - 4 = -2*c, -5*c - l - 4 = 0. Suppose c = -a + 4*o + 36, -52 = -4*a + 3*a - 4*o. What is the remainder when 87 is divided by a?
43
Suppose 35*n + 280 = 63*n. What is the remainder when (-72)/(-60) + 338/n is divided by 18?
17
Let c(g) = g**3 - 22*g**2 - 17*g - 82. Calculate the remainder when c(23) is divided by 17.
5
Calculate the remainder when 37396 is divided by (92/(-16)*-2)/((-44)/(-176)).
44
Suppose -3*u = -4*h + 505, 2*u - 504 = -4*h + 6*u. Suppose -r + 5*o + 13 = 0, 4*o + 24 = 3*r - 15. Calculate the remainder when h is divided by r.
10
Let j(w) = -w + 1. Let k be j(0). Let p(q) = -198*q - 16. Let h(a) = 388*a + 31. Let g(r) = 4*h(r) + 7*p(r). Calculate the remainder when g(k) is divided by 45.
43
Let p = 44 - 66. Let t be (-2)/9 - p/99. Suppose -v = -c - 24, 2*v + t*c - 53 = 3*c. What is the remainder when v is divided by 5?
4
Let v(u) = 10*u**2 + 6*u - 44. What is the remainder when v(-7) is divided by 6?
2
Suppose -1 = -3*t + 14. Let a = t - 11. Calculate the remainder when (a/(-6))/(4/228) is divided by 30.
27
Let q(m) = m**2 + 54*m + 185. Let o be q(-52). Suppose 6*n + 394 = 4*l + 4*n, -3*n = l - o. What is the remainder when l is divided by 11?
8
Let x = 360 + -222. Suppose 3*y - x = -4*w, -w - w = -6. Calculate the remainder when 71 is divided by y.
29
Let d = -6496 - -6507. What is the remainder when 1436 is divided by d?
6
Let s = 17421 + -11429. Calculate the remainder when s is divided by 74.
72
Suppose -5*p = 3*r - 26 - 14, -5*p = r - 30. Suppose 5*h - 3*v - 18 - 154 = 0, 0 = -p*v + 5. What is the remainder when 102 is divided by h?
32
Let u(x) = -5*x**3 + 3*x**2 + x + 1. Let f be u(3). Let t = 126 + f. Calculate the remainder when 70 is divided by t.
4
Suppose -b - 18 = -l, 16 = 9*l - 8*l - 2*b. Let n(u) = -7*u**2 + 23*u - 3. What is the remainder when l is divided by n(3)?
2
What is the remainder when 3056 - ((-1659)/(-395))/(6/10) is divided by 19?
9
Let n(m) = m**3 + 20*m + 3. Let r be n(0). Suppose 0 = -2*t + r*j - 0*j + 763, t = 3*j + 374. What is the remainder when t is divided by 14?
11
Let c = -224 + 348. Suppose 2*q + 3*u = 31, -3*q = 9*u - 7*u - 74. Calculate the remainder when c is divided by q.
28
Suppose 2 = -2*t - 2*t + 3*y, t + 3*y + 8 = 0. Let p be (9/t)/(5 - (-145)/(-30)). Let a = -6 - p. Calculate the remainder when 123 is divided by a.
18
Suppose -253*k - 1120 = -281*k. What is the remainder when 136 is divided by k?
16
Let j(u) be the third derivative of -u**5/60 - 5*u**4/12 + 9*u**3/2 - 315*u**2. Suppose 2 = -3*q - 31. Calculate the remainder when 43 is divided by j(q).
11
Suppose -10*w + 13*w - 5*d = 126, -84 = -2*w - 4*d. Calculate the remainder when 55 is divided by w.
13
Suppose -5*c = -5*m - 37965, 0 = -2*c + m + 1147 + 14034. Calculate the remainder when c is divided by 30.
28
Suppose -8*a - 11 = -35. Suppose a*f + 67 = 4*f + 3*r, -5*r - 20 = 0. Let q = f + -42. Calculate the remainder when q is divided by 20.
17
Let y be 2/10 + 14/5. Let m be 16/(255/17 - 13). Suppose 28 = y*t - m. Calculate the remainder when 57 is divided by t.
9
Let x = -5297 - -8628. Calculate the remainder when x is divided by 33.
31
Let p be 2/(-2 - -4) + 1607. Suppose 1098*j - 1113*j + 45 = 0. Suppose -p = -9*d - j*d. Calculate the remainder when d is divided by 17.
15
Let w(s) = s**3 + 19*s**2 + 9*s + 183. What is the remainder when 115 is divided by w(-19)?
7
Suppose -12 = -o + 2*o. Let a(q) = -100*q - 3. Let c be a(0). Calculate the remainder when 24 is divided by (6/c)/(o/54).
6
Suppose 0 = 120*k - 128*k + 24. Suppose -4*f - k*c + 17 = -15, -4*f + 60 = -4*c. What is the remainder when 75 is divided by f?
9
Let n(d) = d**2 + 9*d + 2. Let a be n(-11). Let l = 45 - a. Suppose -2*v - 17 = -t, -5*v = l - 1. Calculate the remainder when 50 is divided by t.
5
Let g = -151 + 150. What is the remainder when 8*g/(-8)*58 is divided by 15?
13
Suppose 174 = 45*f - 861. What is the remainder when 107 is divided by f?
15
Let d be (-2 + 0)/(6/117). Let t = d - -74. Suppose 0 = 4*q + b - 52, 36*q = 32*q - 3*b + 60. What is the remainder when t is divided by q?
11
Let l = -173 - -396. Let o = l + -210. Calculate the remainder when o is divided by 6.
1
Let f(m) = -m**3 + m**2 + 3*m. What is the remainder when f(-5) is divided by 1 + 70 - (-525 + 544)?
31
Suppose -b + 109*s + 439 = 106*s, 2*s - 2195 = -5*b. What is the remainder when b is divided by 49?
47
Suppose 0 = -2*t + 126*d - 127*d + 17, 3*t - 3*d = 30. Calculate the remainder when 642 is divided by t.
3
Suppose 3*i = 24*d - 23*d - 84, 390 = 5*d - 5*i. Calculate the remainder when 175 is divided by d.
25
Let u = 74 + -54. Let f = 9 + u. Suppose 3*b + 5*m - 219 = 0, -104 = -b - m - f. What is the remainder when b is divided by 16?
14
Let l = 116 - 96. Let d(a) = -a**2 + 22*a + 51. What is the remainder when l is divided by d(24)?
2
Let s(c) = -189*c - 529. Suppose -208 = 3*d - 190. Calculate the remainder when s(d) is divided by 38.
35
Let w be 0 + -2 + 11 + 4. Suppose w = 4*s - 3. Suppose 0 = -4*m + 24 + s. What is the remainder when 17 is divided by m?
3
Calculate the remainder when (5 - 4) + (-3 - -4) + 205 is divided by 186.
21
Let o be 10/6*-6*(-2)/4. Suppose o*b + 5 - 30 = 0. Suppose 0 = b*y - p - 315, 0*p - 2*p = 10. Calculate the remainder when y is divided by 16.
14
Suppose -5*h - 8328 = 37*d - 41*d, -h = 2*d - 4150. Calculate the remainder when d is divided by 1020.
37
Suppose 6*a - 518 = -116. Suppose 0 = 2*r + 5 - a. What is the remainder when 77 is divided by r?
15
Let n = -396 - -607. Let k = n - 190. What is the remainder when 51 is divided by k?
9
Let n = -751 + 785. Suppose 4*w = 4*z + 824, -w + 5*z + 221 = z. Calculate the remainder when w is divided by n.
31
Suppose 4*s - 184 = -0*s. Let h(f) = -108*f**2 + 886*f + 51. What is the remainder when h(8) is divided by s?
43
Let c be (7 - 5)*30/4. Suppose c*w - 18*w = -801. Calculate the remainder when w is divided by 27.
24
Suppose 10*s = -2*s - 684. Let j = -31 - s. Calculate the remainder when 570 is divided by j.
24
Suppose -50*o + 52*o + 82 = 0. Suppose 3*g + 205 = 4*l, -l - 3*g - 10 = -65. Let m = o + l. What is the remainder when 32 is divided by m?
10
Suppose -191*c + 225*c + 19809 - 62581 = 0. Calculate the remainder when c is divided by 259.
222
Let w(s) = 29*s + 95. Calculate the remainder when 84 is divided by w(-2).
10
Let s be 222/10 + (-37)/185. Suppose 0 = 2*u - 3*q - s, -20*u + 30 = -17*u - 3*q. Calculate the remainder when 230 is divided by u.
6
Suppose -2 = 2*h + 3*f, 0*f + 2*f = -3*h + 2. Let y(b) = 21*b**2 + 12*b + 0 - 6*b**h - 5 - 2*b**3. Calculate the remainder when y(8) is divided by 7.
6
Suppose -2*d - 36*v + 7884 = -32*v, 3*v = 9. What is the remainder when d is divided by 101?
98
Let l = -72854 - -72867. Calculate the remainder when (-1)/(0 + (-2)/178) is divided by l.
11
Let w be (-2 - 0) + (7 - 3). Let h(i) = -2 - 5*i + 13*i**2 - i**2 + i**3 - 14*i**w. What is the remainder when 188 is divided by h(5)?
44
Let j(z) = z**3 + 26*z**2 + 21*z - 84. What is the remainder when 2029 is divided by j(-25)?
13
Let v(j) be the first derivative of j**4/4 - 7*j**3/3 + 5*j**2/2 - j - 1. Let s = 5271 + -5136. What is the remainder when s is divided by v(7)?
33
Let s = -19 - -21. Suppose 61 = -u - 2*j, 0 = -2*u - s*j + 3*j - 102. Let v = 23 - u. What is the remainder when v is divided by 26?
24
Suppose -4*c - 5*p + 4*p = -93, 5*c + 2*p = 117. What is the remainder when c is divided by 15?
8
Suppose 0 = 20*v - 91619 + 38939. 