
Let z(x) = 381*x + 1356. Calculate the remainder when z(1) is divided by 10.
7
Suppose 3*r + 0*p + 16 = 4*p, -3*r - 14 = -5*p. Let m = 18 - r. Suppose m*t = 31*t - 230. What is the remainder when 179 is divided by t?
41
Let q be (1 + -2)*(-26)/(2 + -1). Suppose -4*l = -5*o + q + 20, 4*o = 3*l + 36. Let h = 33 + -30. Calculate the remainder when o is divided by h.
0
Suppose 6*o - 3 = 3*o. Let d be (4/8)/(o/(-2)) + 19. Suppose 23*k - 545 = d*k. Calculate the remainder when k is divided by 55.
54
Let m = 3099 - 3039. What is the remainder when 643 is divided by m?
43
Suppose -5*l - 4*x + 3413 = 0, 14*x = -5*l + 18*x + 3477. Calculate the remainder when l is divided by 24.
17
Let q(t) be the second derivative of -7*t**3/2 - 221*t**2/2 + t + 46. Calculate the remainder when 110 is divided by q(-12).
17
Let j = 18 + -15. Suppose j*o = -m + 4*m - 3, -2*m = 3*o - 12. Suppose -w - 32 = -o*w. Calculate the remainder when 157 is divided by w.
29
Let f(w) = -786*w - 1535. What is the remainder when 1803 is divided by f(-2)?
27
Suppose 5 = 4*d - 7. Suppose -5*g = -2*m - 37, d = 2*m - 5*m. Suppose 5*q - 23 = 72. Calculate the remainder when q is divided by g.
5
Calculate the remainder when 74 is divided by -18 - -34 - (-1 - (-7 - -2)).
2
Let m = 34 + -30. Suppose -m*q + 7 = -5*q. Let c(y) = -y**2 - 9*y + 11. Calculate the remainder when 46 is divided by c(q).
21
Suppose v - 370 = 2*w + 3*w, 126 = -2*w - 4*v. Let r = w + 82. Suppose 0 = 2*q + q - 4*k - 10, k - 20 = -3*q. Calculate the remainder when r is divided by q.
3
Let q(d) be the second derivative of -d**5/20 + 5*d**4/12 + d**3/3 + 5*d**2/2 - 94*d. What is the remainder when 357 is divided by q(5)?
12
Let s be 2/(-8) - (-1)/4. Suppose s = r + 9 - 12. Suppose 4*m + 5*o - 23 = 0, -2*m + 6*m = -r*o + 33. Calculate the remainder when m is divided by 5.
2
Suppose -2*j + 35 = 3*j. Let k = -15 + 14. Let p = k + j. Calculate the remainder when 17 is divided by p.
5
Suppose 3*c - 5*n = 15, -2*c + 10 = 5*n - 7*n. Suppose -k - c*r + 20 = 0, 3*r - 1 = -13. What is the remainder when 157 is divided by k?
37
Let k = -70 + 70. Suppose -w = -k*n + 2*n - 108, 5*w - 3*n = 540. Calculate the remainder when w is divided by 31.
15
Let g(i) = i**3 + 21*i**2 - 31*i - 110. Let m be g(-22). Suppose -2*p + 2*s + 40 = 0, 2*p + 3*p - 2*s = m. What is the remainder when 334 is divided by p?
14
Suppose 2*a - 19*j + 24*j = 1318, -5*a + 3310 = 5*j. What is the remainder when 2656 is divided by a?
0
Let r = 24 + -21. Suppose 4*h - 2 = r*h. Suppose -h*j + 79 = -j. Calculate the remainder when j is divided by 20.
19
Let a(m) = m**2 + 110*m - 908. What is the remainder when 57 is divided by a(8)?
21
Let u(t) = 140*t - 14093. Calculate the remainder when 5695 is divided by u(121).
1
Calculate the remainder when 1326 is divided by 70/175 - 156/(-10).
14
Suppose 0*g = 4*g + 2*v - 196, g - 4*v = 49. Suppose 29*k = 32*k + 36. Let i = 25 + k. What is the remainder when g is divided by i?
10
Let n = -39373 - -39536. What is the remainder when 290 is divided by n?
127
Let d = 114 + -126. Calculate the remainder when 103 is divided by (-7)/(2/(d/(-2))*-1).
19
Suppose -3*y - 61 = -5*l + 102, 3*y - 3*l = -171. Let j = y + 94. Suppose 3*n - n = 10. What is the remainder when j is divided by n?
3
Let d(y) = 23*y**2 + y + 7. Let c(z) = -z**2. Let l(q) = -2*c(q) + d(q). Calculate the remainder when l(2) is divided by 16.
13
Suppose 19*a + 4*a = 11684. What is the remainder when 115 is divided by 3 + ((-4)/14 - a/(-14))?
37
Let f be 7/(28/(-180))*1. Let t = f + 34. Let p = -3 - t. Calculate the remainder when p is divided by 4.
0
Let g(h) = 10*h + 9. Let c(r) be the first derivative of -r**2/2 + 2. Let k(t) = 6*c(t) + g(t). What is the remainder when 82 is divided by k(3)?
19
Suppose -6*c + 16*c = -1470. Let x = c - -185. Let w(s) = s**3 - 2*s**2 - 6*s + 4. What is the remainder when w(6) is divided by x?
36
Suppose 4*w - 222*s = -217*s + 3376, 2*s - 4220 = -5*w. What is the remainder when w is divided by 209?
8
Suppose -4*v - 3*v + 21 = 0. Let o be ((-324)/(-30))/(v/15). Suppose i - o = 4*g, 5*i = 2*i - 2*g + 176. What is the remainder when i is divided by 6?
4
Suppose -54*u = -21*u - 264. What is the remainder when 18 is divided by u?
2
Suppose 3*n - 15*g - 3567 = -19*g, -4*n + 4*g = -4672. What is the remainder when n is divided by 237?
229
Let i be (165 - 0) + (24 - 21). Suppose 18 = 2*y + 5*g - 12, -8 = -y + g. Suppose 62 = y*x - i. Calculate the remainder when 44 is divided by x.
21
Let y = -11339 + 12965. Calculate the remainder when y is divided by 148.
146
Suppose 2*k + 38*a = 36*a + 76, 2*a = 4*k - 164. Suppose 0 = k*x - 32*x - 432. Calculate the remainder when x is divided by 4.
2
Suppose 5*r = -20, -3*r = 3*k - 0*r + 9. Suppose 3*g = 2 + 127. What is the remainder when g is divided by (-6)/(-3) + (k - -6)?
7
Suppose -5*t + 20 = -0*t. Let w = t - 3. Suppose 10*o + 27*o = -8*o + 135. What is the remainder when o is divided by w?
0
Let m(v) = -v**3 - 73*v**2 + 145*v + 189. What is the remainder when m(-75) is divided by 91?
18
Let a = -52 + 141. Let m(x) = x**2 - 6*x + 72. Let u be m(12). Suppose -5*l + 3*p + u = p, -3*p - 81 = -3*l. Calculate the remainder when a is divided by l.
29
Let o be (3*2)/(65 + -63). Suppose -o*r + 94 = 8*q - 6*q, 0 = 4*r + q - 132. Suppose 36 = -a + 100. Calculate the remainder when a is divided by r.
30
Let t(s) = -309*s + 697. What is the remainder when 861 is divided by t(2)?
71
Suppose -31*j + 6 = 22*j - 1213. What is the remainder when 213 is divided by j?
6
Let u = -230 - -1110. Suppose -9*y = y - u. What is the remainder when 345 is divided by y?
81
Suppose -6*u + 18*u = 60*u - 21840. Calculate the remainder when u is divided by 209.
37
Suppose -4*l - 33*b = -38*b - 126, -5*b + 44 = l. Calculate the remainder when 167 is divided by l.
31
Let r(b) = -34*b - 30. Let m be r(-4). Suppose -m*w = -103*w - 3. What is the remainder when 23 is divided by (41 - 54)/((-2)/(w*2))?
10
Let p be 54/144 - (11022/(-16))/3. Calculate the remainder when p/8 + 7/28 is divided by 4.
1
Suppose 3*p - 72 = -3*r + 81, 5*p - 2*r = 206. Calculate the remainder when 6814 is divided by p.
38
Let v = 2710 - 1920. Calculate the remainder when v is divided by 3.
1
Let g(k) = 8*k + 10. Let l(d) = d**3 + 35*d**2 - 1240*d - 12. Calculate the remainder when l(22) is divided by g(5).
46
Let n(s) = -12*s**2 + 33*s + 83. Let j(o) = -19*o**2 + 49*o + 124. Let h(y) = 5*j(y) - 8*n(y). Calculate the remainder when h(-5) is divided by 17.
8
Suppose 2*f - 12 = -3*c, c = 3*f - 0*f + 4. Suppose c*m = -17*d + 13*d + 172, m = -2*d + 87. What is the remainder when d is divided by 16?
12
Let f be 5096/30 - (-14)/105. Suppose 4*l - 600 = -4*p, -5*l - 4*p = -923 + f. Calculate the remainder when l is divided by 27.
18
Let a be (10 + -2 + 3)*-1. What is the remainder when 65 is divided by (a + 13)/(-1 - (-9)/6)?
1
Let r(j) = -2*j + 1. Let m(n) = -n**2 + 15*n - 30. Let h(o) = -m(o) - 3*r(o). Calculate the remainder when h(11) is divided by 29.
20
Let t = 12015 - 11900. What is the remainder when t is divided by 44?
27
Let a = -2996 - -3018. Calculate the remainder when 1779 is divided by a.
19
Suppose 0*l + 10 = l. Let j = -4 + l. Suppose -23*y + 19*y = 4*c - 100, -y = -44*c + 965. What is the remainder when c is divided by j?
4
Let i = -19 + 31. Let z(m) = m**2 + 25*m + 184. What is the remainder when z(-14) is divided by i?
6
Let o(z) = -10*z + 17. Let c be o(17). Let q = -109 - c. Suppose -79 = -3*r + q. What is the remainder when r is divided by 9?
5
Let a = -1655 - -1674. What is the remainder when a is divided by 12?
7
Let s(c) = -1185*c**3 - 9*c - 8. Calculate the remainder when s(-1) is divided by 149.
143
Let q(r) = 2*r**2 - r - 144. What is the remainder when 4/(-3)*(-3 - (42 + 6)) is divided by q(-10)?
2
Suppose 9*z = 738 + 180. Calculate the remainder when 164 is divided by z.
62
Let y(q) = q**3 + 5*q**2 + 6*q + 24. Let i be y(-5). Calculate the remainder when 467 is divided by (75/(-6) - i)*-4.
25
Let u be (-186)/8 + 4 + 76/(-16). Let s be 12/8*(2 + u/(-9)). Calculate the remainder when ((-14499)/(-21))/9 - (-2)/s is divided by 8.
5
Suppose -4*j - 96 = -268. Suppose 0 = m - 27 - j. Calculate the remainder when m is divided by 24.
22
Let l = -552