q).
17
Let b be -2*(2 - (-8)/(-2)). Suppose -2*o - p - b = -4*o, -2*o - p = -4. Suppose -n + 23 = 2*s, 3*n + o = n. Calculate the remainder when 40 is divided by s.
4
Suppose 7*r + 2*a = 9*r - 156, 6*a = -4*r + 372. What is the remainder when r is divided by 78?
6
Suppose 466*q = 393*q + 57670. What is the remainder when q is divided by 8?
6
Let z be (81/9)/(-4 + 5) + -4. Suppose -z*h = p + 4*p - 730, 2*p - 286 = -5*h. Calculate the remainder when p is divided by 30.
28
Suppose -328*s + 92540 = -188*s. Calculate the remainder when s is divided by 122.
51
Suppose -117*w + 109*w = 176. Let g(j) = -4*j - 65. What is the remainder when 97 is divided by g(w)?
5
Suppose -i = 2*b - 3860 + 1265, 0 = -b - 5*i + 1311. What is the remainder when b is divided by 26?
22
Suppose -11*i - 29 + 227 = 0. What is the remainder when (-4 - (-8)/(-4))*i/(-3) is divided by 22?
14
Let a(y) be the second derivative of -y**3/6 + 2*y**2 - y. Let s be a(0). Suppose -o = -s - 12. What is the remainder when 45 is divided by o?
13
Suppose 0 = 36*q + 21*q - 491 - 2929. What is the remainder when 1747 is divided by q?
7
Let y = -10 + 42. Suppose -4*g + y - 160 = 0. Let c = g - -37. Calculate the remainder when 18 is divided by c.
3
Let y(z) = -4*z**3 + 3*z**2 - 5*z - 72. What is the remainder when y(-10) is divided by 214?
212
Let k(q) = -8*q - 51. Let d be k(-2). Let l(i) = i**2 + 31*i - 126. Calculate the remainder when 48 is divided by l(d).
6
Let x = -4376 + 4868. What is the remainder when x is divided by 122?
4
Suppose 0 = 5*x - 202 - 8. Let m(t) = 2*t**3 + 23*t**2 - 11*t + 20. Suppose 8*a + 138 - 42 = 0. Calculate the remainder when x is divided by m(a).
2
Suppose 2*z - 4*z = w - 22, 0 = 5*z + 20. Let x(o) = -3*o**3 + 3*o**2 + 6*o - 17. Let p be x(6). Let v = p + 532. What is the remainder when w is divided by v?
8
Let o(x) = -x**2 - 18*x - 17. Let r be o(-17). Suppose 8*b + 9*b - 2278 = r. Calculate the remainder when b is divided by 32.
6
Let s(x) = -2*x**3. Let m = -418 - -421. What is the remainder when m is divided by s(-1)?
1
Let l be (11 - 3) + -8*1/(-2). What is the remainder when ((-3)/(-2))/(9/l) + 67 is divided by 27?
15
Let i be (-4 - (-875)/10)/((-2)/(-4)). Let r = -106 + i. Calculate the remainder when 973 is divided by r.
58
Let r = -11348 - -11367. Calculate the remainder when r is divided by 11.
8
Suppose 216*l - 217*l = t + 116, -2*l + 2*t = 216. Let i = 187 + -285. Let k = i - l. What is the remainder when 81 is divided by k?
11
Let v(x) = -x**3 + 80. Calculate the remainder when v(0) is divided by (-2590)/308*-2 - (0 + (-6)/33).
12
Let p = 28 - 25. Suppose p*k + 32 = 2*r, 8*k - 105 = -5*r + 3*k. Calculate the remainder when r is divided by 3.
1
Let y be (-1)/1 - 3*21. Let m = y + 86. What is the remainder when 197 is divided by m?
21
Let h(x) = -6*x**3 - 114*x**2 - 4*x - 38. Calculate the remainder when 103 is divided by h(-19).
27
Let g(z) = -z**3 - 20*z**2 + 78*z + 251. Let p(t) = t**2 + 8*t - 54. What is the remainder when p(23) is divided by g(-23)?
43
Let l be -3 + 8/(-4)*-4. Suppose -3*r = 2*r - 2*j - 23, -l*j = -5. Calculate the remainder when 16 is divided by r.
1
Let p(z) = -3 - 280*z - 2*z**3 + 8 + 278*z. Let y be p(-3). Let o = y - 44. Calculate the remainder when 74 is divided by o.
11
What is the remainder when 396/(-24)*(-2 - 138) is divided by 8?
6
Let c = -2349 - -3031. Calculate the remainder when c is divided by 9.
7
Calculate the remainder when 7*((-10)/55 + 1689/33) is divided by 30.
27
Suppose 0 = 6*z - 8*z - 5*b + 29, 0 = -5*z + 4*b + 56. Calculate the remainder when 131 is divided by z.
11
Suppose 0 = -w + 22 + 12. Let q(t) = -12*t - 138. Let c be q(-13). Let k(h) = 2*h**3 - 35*h**2 - 17*h - 9. What is the remainder when w is divided by k(c)?
7
Let p(u) = -35*u - 175. Let b be p(-5). Suppose b = -314*d + 315*d - 166. Calculate the remainder when d is divided by 6.
4
Suppose 0 = -a - 15*v + 19*v + 22, a - 26 = 2*v. Calculate the remainder when 45507 is divided by a.
27
Suppose -3617*o + 3611*o = -72. Suppose -344 - 544 = -o*s. What is the remainder when s is divided by 33?
8
Let s = 125 + -120. Suppose 12*d - 42 = s*d. Suppose d*x = 13*x - 77. What is the remainder when 41 is divided by x?
8
Calculate the remainder when 2*(-81)/189 + 5998/7 is divided by 147.
121
Let q be -565 + -2 + 4/(-4). Let g = q - -254. What is the remainder when 60 is divided by (-24)/(-40) + g/(-10)?
28
Suppose 9*z - 6887 = -43*z - 19*z. Calculate the remainder when 242 is divided by z.
48
Let k(u) = 2*u**3 - 16*u**2 + 16*u - 34. Let w be k(18). Suppose -w + 2002 = -26*f. What is the remainder when f is divided by 43?
10
Let k(f) = -10*f**2 + f + 1. Let v be k(-1). Calculate the remainder when (89 + (-4 - -1))*(-5)/v is divided by 24.
19
Suppose 39*n + 18 = 33*n. Calculate the remainder when 6/3 - 366/n is divided by 66.
58
Let b = 587 + -354. Let t = -215 + b. Calculate the remainder when 56 is divided by t.
2
Let c = -5874 - -6439. Calculate the remainder when c is divided by 82.
73
Let q(z) = 2*z**3 + 18*z**2 + 24*z + 81. Let p = -61 + 95. Suppose 6 = -r + p. Calculate the remainder when q(-7) is divided by r.
25
Let k be 2/(-3)*(-2 - (-5)/(-2)). Suppose 6*a - k*a + 397 = 5*b, 3*a - 3 = 0. What is the remainder when b is divided by 22?
14
Suppose -46*x = -73*x + 189, 3*x - 3264 = -3*c. Calculate the remainder when c is divided by 156.
145
Let u(i) = -i**3 + 20*i**2 + 29*i - 851. What is the remainder when 537 is divided by u(19)?
49
What is the remainder when 613 is divided by (3564/154)/(75/175)?
19
Let o(r) = -r + 19. Let a(t) = 33*t**2 + 380*t - 62. Calculate the remainder when a(-12) is divided by o(0).
16
Suppose 3*l = 534 + 9. Suppose 1549*r - 1654*r + 3885 = 0. Calculate the remainder when l is divided by r.
33
Let m = -4082 - -4095. What is the remainder when 233 is divided by m?
12
Let l(n) = -2*n**3 + 14*n**2 - 22*n + 66. Calculate the remainder when l(5) is divided by 44.
12
Suppose 0*o + 16 = 2*f - o, -4*f = 4*o - 56. Let s(g) = 476*g + 2403. What is the remainder when s(-5) is divided by f?
3
Suppose 8*c = 3*c + 65. Suppose 25*m - 24*m = -5, 4*j + 3*m = 41. Let k(v) = v + 37. What is the remainder when k(j) is divided by c?
12
Let a = -207 + 251. What is the remainder when a is divided by (-4)/6 - (-47)/3?
14
Let d = -6341 + 6372. Calculate the remainder when 585 is divided by d.
27
Suppose c + 35*c - 1980 = 0. What is the remainder when c is divided by 40?
15
Let u = -9 + 22. Suppose -14*n + 352 = 8*n. What is the remainder when n is divided by u?
3
Suppose -7*c = -131 - 359. Suppose 77 = 4*f + 9. Calculate the remainder when (-26)/((c/(-25))/7) is divided by f.
14
Suppose -181 = -4*k - o, -2 = -4*o + 2. Let z(x) = x**3 - 49*x**2 - 154*x - 88. Calculate the remainder when k is divided by z(52).
13
Let l(j) = -78*j + 80. Let h = 0 + 30. Calculate the remainder when h is divided by l(1).
0
Let a = 12509 + -12456. Calculate the remainder when 407 is divided by a.
36
Let c(u) = -3*u + 32 + 0*u - 18. Calculate the remainder when (1 - -1)/(3/72) is divided by c(-4).
22
Let j be (12 - 11)/(1/4). Calculate the remainder when 11 is divided by -2 + (-12 + j)*-1.
5
Suppose -4*p - 1 = -9, 0 = 4*z - 5*p - 254. Calculate the remainder when 655 is divided by z.
61
Let s = 3207 + -3203. What is the remainder when 106 is divided by s?
2
Let h = -8261 - -8287. Let j = 701 + -369. What is the remainder when j is divided by h?
20
Let z be (10/8)/(1/52). Suppose -35*b = -2258 - 507. Let l = b - z. Calculate the remainder when 66 is divided by l.
10
Suppose 2*a + 42*q - 47*q = 247, 3*a - 2*q - 365 = 0. What is the remainder when 1282 is divided by a?
72
Suppose -1045 = 34*o - 39*o. Suppose 0 = -7*d - 4*d + o. What is the remainder when 129 is divided by d?
15
Let l(j) = 30*j**3 + j**2 - j - 1. Let y = 311 - 310. Calculate the remainder when 54 is divided by l(y).
25
Let g be (-4 - -3)/(1 + (-5)/4). Suppose g*x + 28 = 232. Calculate the remainder when 0 + -148*(0 + -1) is divided by x.
46
Let f(q) = 43*q**2 - 54*q + 53. What is the remainder when f(4) is divided by 85?
15
Calculate the remainder when 1522 is divided by ((-12)/(-9) + -1)/((-133)/(-5586)).
10
Let x(s) = 254*s + 3343. Calculate the remainder when x(61) is divided by 12.
9
Suppose -10*l + 14