). Suppose 0 = h*f - 7*f + 1118. Suppose -156 = -11*r + f. What is the remainder when r is divided by 20?
5
Let m = -173 - -115. Let p = -58 - m. Suppose p = -5*y + 2*y + 27. Calculate the remainder when 17 is divided by y.
8
Suppose -3*r + 1852 = 15*l - 10*l, -r = -3*l - 608. What is the remainder when r is divided by 123?
122
Let g(t) = -t**3 - 6*t**2 + 25*t + 34. Calculate the remainder when 432 is divided by g(-9).
16
Let t = 5426 - 5417. What is the remainder when 231 is divided by t?
6
Let h = -50 - -56. Suppose 13 = -12*r + 13*r + 5*g, 3*g + h = 0. What is the remainder when r is divided by 2?
1
Calculate the remainder when 8 - (2 + 1) - (-11 + 13 + -101) is divided by 30.
14
Let n = 1 + 4. Let g(i) = -8*i**2 + 449*i - 30. What is the remainder when g(56) is divided by n?
1
Suppose 0 = 4*d + 3*t - 170, -76 = -82*d + 80*d - 3*t. Calculate the remainder when 1404 is divided by d.
41
Let g(s) = 1 - 32*s + 4 + 6*s. Let b be 3*((-16)/6 - -2) - (-1129 - -1128). Calculate the remainder when g(b) is divided by 7.
3
Let f = -3999 - -4018. What is the remainder when 529 is divided by f?
16
Let i(m) = m**3 + 9*m**2 + 2. Let n be i(-9). Suppose n*q - 3*b = -q + 33, -3*q + 33 = 2*b. What is the remainder when (-20)/(-6)*-12*-1 is divided by q?
7
Let s be 23/4 - 2/(-8). Let a be ((-12)/(1 - 2))/(s/(-30)). Let p = 7 - a. Calculate the remainder when p is divided by 14.
11
Suppose 136*h = 140*h + 3*g - 676, -h = 4*g - 182. Calculate the remainder when 183 is divided by h.
17
Suppose 0 = -16*i + 83 + 29. What is the remainder when 111 is divided by i/(-21)*(2 - 92)?
21
Suppose 6*k - 714 = -232*k. Calculate the remainder when 221 is divided by k.
2
Let h = -7 - 48. Let g = h + 76. Suppose -5*d = 11 - g. Calculate the remainder when 4 is divided by d.
0
Let o be 30 - 2*(-2)/4. Suppose -b - 19 = -l + o, 0 = -5*l - 4*b + 241. Calculate the remainder when l is divided by 9.
4
Suppose 5*s + 3*p - 6297 = 0, -648*s = -649*s - 4*p + 1256. Calculate the remainder when s is divided by 58.
42
Suppose 70*h - 908 = 66*h. Let c = 553 + -487. Calculate the remainder when h is divided by c.
29
Suppose 2*u + 28 = 4*q, -3*q - 180*u + 10 = -176*u. What is the remainder when 497 is divided by q?
5
Let t(z) = 27*z**2 + 3349*z + 261. Suppose 0 = -5*d + 150 + 55. What is the remainder when t(-124) is divided by d?
14
Let m(j) = -15*j + 127. What is the remainder when m(4) is divided by 52?
15
Let y(f) = 4*f**3 + f**2 - f. Let z = -71 + 72. Let n be y(z). Suppose -4*d + 6*a + 42 = n*a, -5*a + 12 = 3*d. Calculate the remainder when 19 is divided by d.
1
Suppose 0 = 2*h + t - 5, -3*h = 2*h - 4*t - 32. Let c(l) = 4*l - 10. Let u be c(h). What is the remainder when ((-8)/u)/((-22)/1716) is divided by 21?
20
Suppose -158*o + 3336 = -19*o. Calculate the remainder when 1342 is divided by o.
22
Let s(j) be the second derivative of -j**4/12 - 4*j**3/3 - 6*j**2 - 7*j. Let h be s(-8). Calculate the remainder when ((-88)/12)/(2/h) is divided by 15.
14
Suppose -17 = -p + 5*o, -5*p = -3*p - 4*o - 10. Let y = 148 - p. What is the remainder when y is divided by 26?
21
Suppose -52*d - 79 = -2211. What is the remainder when 2170 is divided by d?
38
Let i(u) = -u**3 + 5*u**2 - u. Let y be i(5). Let h(j) = j**2 - j + 6. Calculate the remainder when h(y) is divided by (-6)/9 - (-32)/3.
6
Suppose 2*h + 5*q - 83 = 0, -4*h + 33 = -2*h - 5*q. What is the remainder when 664 is divided by h?
26
Let b(q) = -q**2 + 13*q - 11. Calculate the remainder when 4/(-22) - (-4 - (-3880)/(-44)) is divided by b(10).
16
Suppose -17*t + 14*t = -3*k - 78, 0 = -t + 2*k + 23. Let q(a) = -112*a**3 + 2*a**2 - 1. Calculate the remainder when q(-1) is divided by t.
26
Suppose 4*y + 0*d = d + 38, 5*y - 42 = 4*d. Suppose 16*a - y*a - 336 = 0. Calculate the remainder when a is divided by 31.
25
Let b = -184 + 196. Suppose 0 = 9*c - b - 213. What is the remainder when 222 is divided by c?
22
What is the remainder when (-15)/(7*55/(-10318)) is divided by 69?
57
Let b(z) = -z**3 - 8*z**2 - 9*z - 7. Let c be b(-8). Let w(x) = x**2 - 10*x - 21. Let h be w(10). Let t = h + c. What is the remainder when t is divided by 9?
8
Let m be (0 + 1)/((-1)/(-4)). Suppose 81 = t + t + 3*c, -m*t - 4*c + 168 = 0. Calculate the remainder when t is divided by 196/16 + (-27)/108.
9
What is the remainder when (-4)/6*6 - 1 - 5159/(-67) is divided by 19?
15
Let t = 4748 + -3716. Calculate the remainder when t is divided by 40.
32
Suppose -4*v - 1809 = -3*m, -220*m + 218*m = v - 1228. Calculate the remainder when m is divided by 310.
301
Suppose -m + 4*m - 441 = 0. What is the remainder when m is divided by (6119/(-844))/((-3)/(-4) + -1)?
2
Let p be ((2/(-2))/(1/10))/(-2). Let j(g) = 8*g**2 - 14*g + 12. What is the remainder when j(p) is divided by 24?
22
Suppose 3*i - 43 = -58, 4*t + i = 523. Calculate the remainder when 231 is divided by t.
99
Suppose 2*n - 5*h - 21 = 0, 0*h + h = -2*n + 3. Suppose -5*a - 4*m = m - 390, n*a - 264 = 3*m. What is the remainder when 161 is divided by a?
78
Let x = 8885 + -8735. Let o(b) = -b**2 - 15*b - 8. Calculate the remainder when x is divided by o(-8).
6
What is the remainder when 5 + 8 - 10 - -251 is divided by 66?
56
Let n = -7 + 7. Suppose n = -3*k + 4*k. Suppose 12*z - 15*z + 249 = k. Calculate the remainder when z is divided by 12.
11
Let a(r) = -r**2 + 68*r - 1104. Calculate the remainder when 2454 is divided by a(29).
24
Let d(s) = s**2 + 15*s + 19. Let t be d(-14). Suppose 2*n + 658 = 5*n + y, 0 = t*n - y - 1094. Calculate the remainder when n is divided by 11.
10
Let s(r) = -r**3 + 10*r**2 + 14*r - 49. Let g(t) = -3*t**2 - 4*t + 16. Let y(k) = 7*g(k) + 2*s(k). What is the remainder when 137 is divided by y(0)?
11
Let d(p) = -p**2 + 15*p + 8. Let f(n) = -3*n - 4. Let v be f(-2). Suppose v + 14 = 2*m. Calculate the remainder when d(m) is divided by 11.
9
Let n(a) be the third derivative of a**6/40 + a**5/60 - a**4/24 - 3*a**2. What is the remainder when (-2 + 8/6)*228/(-8) is divided by n(1)?
1
Suppose 0 = -5*r + 230 + 200. Suppose -2*y + 646 = 17*y. Suppose -225 = y*w - 39*w. Calculate the remainder when r is divided by w.
41
Let o(m) = -11*m - 58. Let q be o(-10). Suppose 3*y + 2*g - 10 = 112, 0 = -y + 5*g + q. Calculate the remainder when y is divided by 9.
6
Suppose 2*k - 93*n = -89*n + 34498, 5*k - 86229 = 2*n. What is the remainder when k is divided by 22?
19
Let r(w) = 5*w - 84. What is the remainder when 1215 is divided by r(32)?
75
Let i be (1 - -11)*(-3)/(-9). Suppose 0*l = l + 5, i*l = 3*t - 23. Let f(x) = 46*x - 2. What is the remainder when f(t) is divided by 9?
8
Suppose 5*j - 3*g - 5 = 0, 4*j + 0*g - 3*g = 1. Suppose -5*a + 3*n = -201, -2*a = -5*n - j - 65. What is the remainder when 52 is divided by a?
10
Let n = -310 - -313. Suppose 0 = 3*v - n*h + 8*h - 74, v = h + 14. What is the remainder when v is divided by 6?
0
Let g(n) = -51 + 28 + 8*n + 43. What is the remainder when 258 is divided by g(4)?
50
Suppose -3*m + 4*m = c + 7, 0 = c + 5. Let w(h) = -4 - 13*h + 32*h - 2*h**m - 10*h - 23*h. Calculate the remainder when 24 is divided by w(-6).
0
Suppose -71 = 3*q - 305. Suppose 0 = -5*l, -o - 3*l - q = 2*o. Let c = o - -39. What is the remainder when c is divided by 7?
6
Let b = -22 - -37. Let a(n) = -2*n**2 + 15*n - 13 + b + 3*n**2. What is the remainder when 2 is divided by a(-15)?
0
Suppose -4*f = -u + 25, -5*u + 5*f - 4*f = -163. Let y = 28 + 1. Suppose -u*g = -y*g - 8. What is the remainder when 2 is divided by g?
0
Suppose 4*t - 2*o = 5338, -t + 2*o - 170 = -1503. Calculate the remainder when t is divided by 191.
189
Let f = -68 + 115. Let g = -45 + f. Suppose 0 = g*z + 1 - 3. What is the remainder when z is divided by 1?
0
Suppose 3910 = 5*h + 8*h - 3*h. Calculate the remainder when 801 is divided by h.
19
Suppose 6*x = -1300 - 2198. Let d = x - -707. Let n(f) = -4*f - 11. What is the remainder when d is divided by n(-9)?
24
Let a(f) = -2*f**3 + 3*f**2 + 11*f + 26. Let m be a(-5). Let g = 464 - m. Calculate the remainder when g is divided by 57.
54
Suppose 0 = 5*q + 3*s + 4 - 1, -2*q = s + 1. Suppose 8*g - 40 = -q*g. Calculate the remainder when 34 is divided by 276/20 + 1/g - 2.
10
Let y = -334 - -326. What is the remainder when 26 is divided by 18/y*(-64)/24?
2
Suppose -3 = -5*f + 