divided by q.
8
Let a = -655 + 747. Let q(p) = 5*p - 4. What is the remainder when a is divided by q(4)?
12
Suppose -1465 = -7*y + 12*y - 3*h, -3*y + 2*h = 878. Let b = -287 - y. What is the remainder when 105 is divided by b?
6
Let o(j) = -2*j + 14. Let p be o(10). Let w be (-44)/p + (-38)/(-57). What is the remainder when ((-15)/4)/((-10)/w + 1) is divided by 9?
6
Suppose 134 = 8*x - 106. Let u = 171 - x. What is the remainder when u is divided by 48?
45
Suppose 0 = 19*c - 14*c - 5. Calculate the remainder when 72 is divided by 1*(3 - 2) - (c - 11).
6
Suppose 5 = 8*b - 11. Suppose -4*g + 4 = 0, 3*g + 0*g = -5*k + 1498. Suppose b*u + k = 15*u. Calculate the remainder when u is divided by 12.
11
Suppose -865 - 200 = -3*w. Let r = w + -326. What is the remainder when 144 is divided by r?
28
Calculate the remainder when 258 is divided by 522/24 - 6/(-16)*66/99.
16
Let d(p) = -p**3 - 2*p**2 + p + 46. Let x be d(0). Suppose o - x = 12. Let b = 9 + o. What is the remainder when b is divided by 17?
16
Let r(w) = 328*w**2 + 317*w + 1. Calculate the remainder when 48 + (0 - (-1 - -2)) is divided by r(-1).
11
Let f(q) be the second derivative of -5*q**3/3 + 5*q**2/2 - 6*q. Let k(t) = -t**3 - 6*t**2 + 17*t + 17. Calculate the remainder when f(-3) is divided by k(-8).
8
Suppose -2*k + 46 = 4*y, 0*y + 34 = 2*k + y. What is the remainder when (30/(-20))/(k/(-100)) is divided by 4?
2
Suppose 4*d + 6 = 6*d. Suppose 4*p = 5*a - 225, -5*a + d*p + 0*p + 230 = 0. Let l = a + -23. Calculate the remainder when l is divided by 8.
2
Let l(o) = -o**2 - 16*o - 45. Let m be l(-12). Suppose 4*p - 251 - 179 = 2*s, -4*p - m*s = -405. Calculate the remainder when p is divided by 38.
29
Suppose 0 = -r + i + 1 - 166, 20 = 4*i. Let s = -97 - r. What is the remainder when s is divided by 19?
6
Let i = 32 - 113. Suppose -m + 6*x - 1 + 81 = 0, -3*x + 205 = 2*m. Let r = i + m. What is the remainder when 63 is divided by r?
12
Let p = 2326 + -3268. Let v = 1025 + p. What is the remainder when v is divided by 31?
21
Suppose -v = 3, 13*s + 1262 = 18*s - 4*v. Calculate the remainder when s is divided by 14.
12
Suppose 281 + 353 = 9*r - 32. Calculate the remainder when 196 is divided by r.
48
Let b(l) = -l**2 - 17*l - 10. Let y be b(-17). What is the remainder when (356/4)/(-2 - y/4) is divided by 36?
34
Calculate the remainder when 283 is divided by -14 + 13 + (-6 - -6) + 227.
57
Let x(h) = 2*h**2 + 2*h - 5. Suppose -50 - 44 = -2*l + 4*v, -v = -l + 45. Suppose 0 = 36*o - l*o + 714. What is the remainder when o is divided by x(4)?
32
Let q be (36/(-10) + (-34)/85)/(-2). Suppose x = -q + 5. Suppose -x*c = -25 - 17. Calculate the remainder when 26 is divided by c.
12
Suppose -4*z + 164 = -3*j + 16, -3*z = -2*j - 113. Let y = -201 - -329. Calculate the remainder when y is divided by z.
42
Suppose 81*s - 13494 = 55*s. Suppose 2*v = -2*z + 356, 2*z = 3*v - 0*z - s. Calculate the remainder when v is divided by 11.
10
Let c(u) = -u**3 - u**2 - 2. Let s be c(2). Let i = s + 14. Suppose -3*d + 2 + 46 = i. Calculate the remainder when 56 is divided by d.
8
What is the remainder when 132 is divided by ((-2350)/(-658))/(-1 - (-8)/7)?
7
Let o = 640 + -833. Let j = o - -196. What is the remainder when 71 is divided by j?
2
Suppose 2*k + 28*k = -40*k + 2520. Calculate the remainder when 665 is divided by k.
17
Let s(l) = -30*l. Let q = -552529 - -552579. Calculate the remainder when q is divided by s(-1).
20
Let d(s) = s**2 - 8*s - 656. What is the remainder when 53 is divided by d(30)?
1
Suppose 0 = 13*k - 9*k - 124. Suppose -30*p + k*p - 74 = 0. Let f(z) = z**3 + 9*z**2 + 9*z - 15. What is the remainder when p is divided by f(-7)?
14
Let r be (-112)/42 - (-8)/(-6) - -2. Calculate the remainder when 78 is divided by 4*(3 - r/2).
14
Suppose -3*a = -3*c + 27, -5*c + 65*a = 69*a - 81. What is the remainder when 842 is divided by c?
10
Let d(v) = v**2 - 13*v - 11. Let i be d(14). Suppose -i*y = -26 - 7. What is the remainder when 73 is divided by y?
7
Let p(z) = 6*z**2 - z + 4. Let q be p(3). Suppose -4*u + 8 = -4. Suppose 0 = -k - m + 39, q = k - 0*m - u*m. Calculate the remainder when k is divided by 12.
7
Suppose -5*b - m = -111, -3*b - 17*m = -13*m - 87. Calculate the remainder when 8166 is divided by b.
18
Suppose -5*d + 168 = 3*d. Suppose 3*q + d = 2*m, -m = -7*q + 2*q. Calculate the remainder when 6/m + 326/10 + 2 is divided by 12.
11
Let j(y) be the third derivative of 4/3*y**3 - 5/12*y**4 - 1/30*y**5 + 6*y**2 + 0*y + 0. What is the remainder when j(-5) is divided by 3?
2
Let h = -6108 + 6267. Suppose -2*f - 6 = 4, -3*z + 5*f + 121 = 0. What is the remainder when h is divided by z?
31
Let d = 259 - 558. Let y be d/39 - ((-8)/(-6) - 1). Let n(l) = -l**3 - 6*l**2 + 8*l - 16. What is the remainder when n(y) is divided by 17?
14
Let k = -136 + 86. Let w = 82 + k. What is the remainder when 145 is divided by w?
17
Let t(u) = 2*u**2 + 100*u + 686. What is the remainder when 315 is divided by t(-42)?
7
Let w = 9 + 13. Calculate the remainder when 2991 is divided by w.
21
Suppose b + 3 - 15 = 0. Let a be (0 - 4)/((b/57)/(-2)). Suppose 0*m - 2*m + a = 0. What is the remainder when 37 is divided by m?
18
Suppose -18*i + 8240 + 23877 = 9743. Calculate the remainder when 3738 is divided by i.
9
Suppose -765 = -4*m - 5*b, 3*m + 122*b - 124*b - 591 = 0. What is the remainder when 586 is divided by m?
1
Suppose -5*u + 4*z - 30 = 0, -z = -2*z - 5. Let c(w) = -w**3 - 12*w**2 - 25*w - 21. What is the remainder when c(u) is divided by 15?
14
Suppose j + 2466 = 5*x, 5*x - 6*j - 2462 = -9*j. Let q = -268 + x. Calculate the remainder when q is divided by 57.
54
Suppose 3*h - 4180 = r, 5*r - 2317 = -3*h + 1893. Suppose 17*o - h + 341 = 0. What is the remainder when o is divided by 17?
11
Suppose -2*s = 22 - 26. Suppose -90 + 8 = -s*r. Suppose 3*w = 6*w - 63. What is the remainder when r is divided by w?
20
Suppose 12 = 4*v - 2*d, -3*v - 17*d = -14*d. Calculate the remainder when 110 is divided by v.
0
Let k = 2596 - 2460. What is the remainder when k is divided by 39?
19
Suppose 0 = -t + 5*y - 20, 5*y - 12 = -2*t + 23. Suppose -3*m = -l - 517, 26*m - 28*m + 322 = t*l. Calculate the remainder when m is divided by 59.
53
Let t(y) = 133*y - 63. Let b be t(8). Suppose -b*c + 1004*c - 135 = 0. What is the remainder when 110*8*2/20 is divided by c?
43
Let u be 4*(0 + (-585)/(-10)). Suppose 0 = 8*c - 17*c + u. Calculate the remainder when 128 is divided by c.
24
Let m = 621 - 597. Suppose 789*v + m = 791*v. What is the remainder when 323 is divided by v?
11
Let r(j) = j**3 + 36*j**2 - 112*j + 199. Calculate the remainder when 5 + -2 + 1 + 1 is divided by r(-39).
1
Suppose 2*t - 52 = -4*s, -33*s + 3*t - 56 = -37*s. Suppose 4 = 5*o - 11. Suppose o*q - 82 - 47 = 0. What is the remainder when q is divided by s?
10
Suppose -38*c + 2983 + 102 + 6111 = 0. What is the remainder when 434 is divided by c?
192
Suppose -2*o - 99 - 169 = 0. Let s = -89 - o. Calculate the remainder when 126 is divided by s.
36
Let g(k) = 11*k + 64. Let z(r) = -3*r - 21. Let v(t) = 3*g(t) + 8*z(t). What is the remainder when 167 is divided by v(2)?
41
Suppose -5*j = p - 2636 - 1035, -p + 5*j + 3621 = 0. What is the remainder when p is divided by 7?
6
Let a(l) = 30*l - 14. Suppose -6*q - 26 = -38. What is the remainder when 65 is divided by a(q)?
19
Let b(o) = o**3 + 10*o**2 + 13*o - 14. Let z be b(-7). Calculate the remainder when 3*((-6)/6 + z) is divided by 14.
11
Let f(p) = -17*p - 5*p - 446 + 322. What is the remainder when 417 is divided by f(-7)?
27
Let v(l) = 101*l**2 + 9*l - 12. Calculate the remainder when v(2) is divided by 18.
14
Suppose -k + 223 = k + 5*y, -5*y = -3*k + 272. Suppose -3*h - k = -0*h. Calculate the remainder when 9/21 - 3/7 - h is divided by 3.
0
Suppose -4*r + 37 + 59 = 5*g, 4*r - 36 = -2*g. Let x(z) = z**2 + 6*z + 2. Let w be x(-6). Calculate the remainder when w/(-3) + 1336/24 is divided by g.
15
Let k(d) = -116*d + 19. Suppose -39*j - 5 = -44*j + 5*s, 0 = 2*j + s + 4. Calculate the remainder when k(j) is divided by 36.
27
Let a = 332901 + -332753. What is the remainder when a is divided by (-122)/(-8) + 1/(-4)?
13
Suppose 0 = -8*q - 89 + 737. Suppose -5*n + 5*b + 10 = 0, 2 = n + n - 3*b. Let i(s) = s**3 - 3*s**2 - 3*s +