?
7
Suppose 0 + 3 = z. Suppose 5*u = -5*n - 7 - 38, 39 = -5*n - z*u. Calculate the remainder when 25 is divided by (-51)/n + 3/(-2).
4
Suppose t + 11*q - 59 = 16*q, 5*t + 4*q - 266 = 0. Calculate the remainder when t is divided by (-18)/(-4)*(-30)/(-9).
9
Let j = 9552 - 9044. Calculate the remainder when j is divided by 27.
22
Let b(f) = -6*f - 17. Let j be 2/2*-3 - 2. Let d be b(j). Suppose 5*q + 2*p = -0*p + 31, -5*q + d = -4*p. Calculate the remainder when 22 is divided by q.
2
Let f(u) = u**3 + 31*u**2 + 162*u + 32. Let n(j) = -j**3 - 7*j**2 + 11*j - 2. Calculate the remainder when f(-24) is divided by n(-9).
54
Suppose 561 = 4*h + 5*l, -l = 3*l - 20. Suppose 133*o + 70 = h*o. Calculate the remainder when o is divided by 28.
14
Suppose -r + 77 = -58. Suppose 5*p - 1 + 0 = j, 5*j + 3*p = r. Suppose 4*l + 23*l = -3*l + 2070. Calculate the remainder when l is divided by j.
21
Suppose -5*w = 3*m - 201, -4*w + 160 = -0*w + 2*m. Suppose -65 = 6*z - 215. Suppose 3*a - z + 7 = 0. Calculate the remainder when w is divided by a.
3
Let t(i) = 2*i**3 - 52*i**2 + 3*i - 20. Let s(v) = -3*v**2 - 25*v + 18. Let y be s(-8). What is the remainder when t(y) is divided by (-25)/(-1)*(-9)/(-15)?
13
Suppose -1731 = -161*w + 2133. Calculate the remainder when 5060 is divided by w.
20
Suppose -9*u + 147 = -96. Let z(j) = j**2 + 3*j + 2. What is the remainder when z(10) is divided by u?
24
Suppose -94 = -4*c - 2*t, 3*c + 2*t = 7*c - 90. Suppose 156*d - 3250 = 143*d. What is the remainder when d is divided by c?
20
Let c(q) = 2*q - 14. Suppose -4 - 11 = -x. Let y be c(x). Suppose 5*j - y - 2 = -2*s, 2*s + j = 18. What is the remainder when 41 is divided by s?
5
Suppose 2 = 2*f + k + 9, -2*f - 3*k - 1 = 0. Let w(u) = -3*u + 5 + 3 - 3 + 2. What is the remainder when 40 is divided by w(f)?
18
Let r be 4 + (6 - (725 - 1)). Let c = r + 2071. What is the remainder when c is divided by 80?
77
Let r(c) = 3*c + 4. Let i(a) = -2*a**3 + 20*a**2 - 16*a - 14. Let q be i(9). Suppose q*o + 18 = 5*o. What is the remainder when r(9) is divided by o?
13
Let f(l) be the third derivative of l**6/120 - l**5/60 - l**4/24 + 107*l**3/6 - 17*l**2 - 1. Calculate the remainder when f(0) is divided by 30.
17
Suppose 39*j = 26*j + 611. Suppose -57*y + 1000 = -j*y. Calculate the remainder when y is divided by 21.
16
Suppose 5*r - 504 = r. Let u = r + 65. What is the remainder when u is divided by 24?
23
Suppose 7*k = 3*k - 3*d + 4855, -3642 = -3*k - 3*d. What is the remainder when k is divided by 22?
3
Let n = -22 - -53. Let a(s) = -s**3 + 14*s**2 - 25*s - 165. Calculate the remainder when n is divided by a(9).
1
Suppose -3*n = -5*c - 0*n + 521, 4*c - n = 414. Let x(d) = 1012*d - 320796. Calculate the remainder when c is divided by x(317).
7
Let r be 192/14 + 46/161. Suppose 952 = -r*s + 21*s. Calculate the remainder when s is divided by 64.
8
Let g(m) = 4614*m - 69146. Suppose -2*y = -17 - 5. Suppose 5*u = 109 + y. What is the remainder when g(15) is divided by u?
16
Let w be (-4)/9 - (-268)/36. Suppose 5*g = 2*n - 23, 15 = -w*n + 8*n + g. What is the remainder when 39 is divided by n?
11
Let j(i) be the second derivative of -i**4/12 - 7*i**3/3 + 31*i**2/2 - 3*i. Let g be j(-16). Calculate the remainder when 62 is divided by (g - 5)*(-48)/18.
14
Let a be 2 + (0/(-5) - 2). Suppose a*u - 420 = -14*u. What is the remainder when 145 is divided by u?
25
Suppose 3*f - 1 = 2*f, 5*c + 5*f = 145. Suppose -2*s - 50*s = -1468589 + 1467757. Calculate the remainder when c is divided by s.
12
Let d be (-12)/54 + (-14)/(-63). Let n(w) = -w**2 + 7*w - 2. Let u be n(5). Let f = d + u. What is the remainder when 39 is divided by f?
7
Suppose -4*f = 3*o - 105 - 141, -o - 2*f = -84. Let k = o - 73. Suppose 5 = 6*x - x, -577 = -k*h - 2*x. What is the remainder when h is divided by 13?
11
Let w = -15 + 18. Let d(p) = 2 + w - 6 - p - 3. What is the remainder when 11 is divided by d(-14)?
1
Suppose -28184 = 2*b - 9*b + 4*t, 3*t = -b + 4037. Calculate the remainder when b is divided by 10.
8
Let d be (9/(54/12))/(2/(-148)). Let h = d - -207. Calculate the remainder when 232 is divided by h.
55
Suppose b - 46 = -14. Let w = -2774 + 2854. What is the remainder when w is divided by b?
16
Let a(t) = -2*t**3 + 40*t**2 - 36*t - 34. Let m be a(19). Suppose 2*v = -5*i + 107, -m*v + 98 = -v - 5*i. What is the remainder when 120 is divided by v?
38
Suppose w - 2 = -5*x, -3*w + 106 = -8*w + 4*x. What is the remainder when (-3)/(-18) + (-3867)/w is divided by 31?
29
Let c = -882 - -629. Let j = c - -272. What is the remainder when 52 is divided by j?
14
Suppose -4*i - 3*s = -639, 66 = 2*i - s - 241. Let n = 705 + -673. What is the remainder when i is divided by n?
28
Suppose 4*f + 9*n - 52 = 11*n, -60 = -4*f - 2*n. Calculate the remainder when 1217 is divided by f.
13
Let u = -177 - -207. Suppose 5*n - n - 2*y - 26 = 0, u = 5*n - 2*y. Calculate the remainder when 14 is divided by n.
2
Let w = 1745 + -1678. Calculate the remainder when w is divided by 33.
1
Suppose 0 = -r + 6*w + 33, 4*r + 2*w - 211 = 51. What is the remainder when 115 is divided by r?
52
Let u be -2 + 2 - (54 - 51). Calculate the remainder when 104 is divided by (7 - -34 - -2) + u/1.
24
Let v(d) = -d**2 - 5*d + 8. Let j be v(-6). Suppose 3*s = -2*h + 226, 306 = -4*s + 8*s - j*h. What is the remainder when s is divided by 8?
4
Suppose 0 = 16467*s - 16503*s + 25668. What is the remainder when s is divided by 207?
92
Let q(p) = 30*p + 179. Calculate the remainder when 344 is divided by q(-4).
49
Let g = 8382 - 8257. Suppose 0 = 2*z + 2 - 38. What is the remainder when g is divided by z?
17
Let a = -489 + 491. Let r(d) = 23*d**2 + 7*d - 19. Calculate the remainder when 172 is divided by r(a).
85
Let m = 12150 + -11578. Calculate the remainder when m is divided by 25.
22
Let m = -2090 - -2142. What is the remainder when 455 is divided by m?
39
Let k(f) = -6*f + 34. Let c be k(8). Let s(q) = 7*q + 21. Let u(j) = 20*j + 63. Let h(z) = -17*s(z) + 6*u(z). What is the remainder when 18 is divided by h(c)?
4
Let r = -47 + 78. Let b(k) = 2*k + 30. Let g be b(-7). Suppose -w = -3*w + g. What is the remainder when r is divided by w?
7
Let r = 19286 - 19279. What is the remainder when 507 is divided by r?
3
Let v(p) = -p**2 - 8*p - 5. Suppose -99 = -s + 31*w - 25*w, 0 = -5*s + 4*w + 235. What is the remainder when s is divided by v(-5)?
9
Let v(g) = -2*g**2 - 219*g - 1870. Suppose 3*p = 3*o - 184 + 22, -108 = -2*o - 3*p. Calculate the remainder when o is divided by v(-100).
24
Let o be ((-3)/(-9) - (-14)/3)*1. Suppose -2*n = 5*r - 218, -3*r + 136 = -o*n + n. What is the remainder when r is divided by 17?
10
Let f(t) = t + 22. Let x = -48 - -59. Let p be f(x). Suppose -5*v + 6*v - p = 0. Calculate the remainder when v is divided by 17.
16
Let z(g) = -g**2 + 312*g - 5237. Calculate the remainder when z(18) is divided by (-1)/((-1)/12) - -2.
13
Suppose 6226 = -10*s - 6934. What is the remainder when s/(-8) + 9/(-6) is divided by 12?
7
Let o(a) = -a - 10. Let u be o(-2). Let t = 10 + u. Let d = t + 35. Calculate the remainder when d is divided by 15.
7
Suppose -284*k + 291*k - 3*d - 946 = 0, -4*k = 2*d - 574. Calculate the remainder when 311 is divided by k.
33
Suppose 0 = -570*a - 808*a + 260*a + 13416. Suppose 3*b + 3*r - 63 = 0, 3 = -2*r + 1. What is the remainder when b is divided by a?
10
What is the remainder when -439*(168/(-7) + (-2 - -13)) is divided by 29?
23
Let v be 7 - 0 - (-1 - 1). Calculate the remainder when (320/56)/(24/84) is divided by 54/4 + v/(-6).
8
Suppose -25555 = -26*q + 25119. Suppose -578 - 196 = -2*f + 3*c, 5*f = 4*c + q. What is the remainder when f is divided by 36?
33
Let c be -3*((-50)/5 + 7). Suppose 225 = 5*a - 4*d - 112, -3*d - c = 0. Calculate the remainder when a is divided by 24.
17
Let x = -155 + 160. Suppose -3*w - w = 0, -x*o + 2*w = -315. Let j(l) = -l**2 + 7*l + 5. What is the remainder when o is divided by j(6)?
8
Suppose -12*i + 30*i = 72. Suppose -2*f + 64 = c - 23, 0 = -i*f - 4*c + 184. Calculate the remainder when f is divided by 3.
2
Suppose 2*y - 4 = -20. Let j = y + 44. Suppose 3*s = -j + 240. What is the remainder when s is divided by 35?
33
Let m(k) = k**2 + 17*k + 24. Let y(v) = -2*v + 40. Let t be y(29). Calculate the rema