 by 15.
11
Let k = -871 - -993. Let d = -19 + 69. Suppose 2*h - d = -0*h. What is the remainder when k is divided by h?
22
Let j = 1225 - 988. What is the remainder when j is divided by 17?
16
Suppose 3*s + 92 = 338. Let v be (-6 + -15)/(-1) - -1*1. Let q = s + v. What is the remainder when q is divided by 36?
32
Let z(a) = -3*a**3 - 4*a + 3. What is the remainder when z(-4) is divided by (3*(3 + -9))/(-9 - -8)?
13
Let b(y) = y**2 - 5*y - 2. Let z be b(5). Suppose 2*p + 2*p = -3*v + 119, -3*p + 84 = 4*v. Calculate the remainder when p is divided by (-3)/6*(z - 16).
5
Suppose 2*w + s - 80 = 0, -5*w + 152 = -2*s - 75. Calculate the remainder when 137 is divided by w.
8
Let p = 951 - 835. Calculate the remainder when 404 is divided by p.
56
Let a(k) = -k**3 + 2*k**2 + 3*k - 4. Let n be a(3). Let f = n - -11. Calculate the remainder when f is divided by (-4)/(-5)*25/10.
1
Let d = -728 + 750. Let p(i) be the first derivative of -i**4/4 + 19*i**3/3 - i**2/2 + 27*i + 12. What is the remainder when d is divided by p(19)?
6
Let w(a) = -1749*a - 4818. What is the remainder when w(-3) is divided by 44?
33
Suppose -5*n = n + 120. Let k = 13 - n. Let o = -51 + 64. Calculate the remainder when k is divided by o.
7
Suppose -2*z + 28*u + 72398 = 25*u, -3*z + 108601 = -5*u. What is the remainder when z is divided by 154?
151
Let a(p) = 4*p**2 - 46*p + 115. Calculate the remainder when 15 is divided by a(3).
2
Let s = -2012 - -2828. Suppose 13*m = 25*m - s. Calculate the remainder when m is divided by 18.
14
Let q(h) = -2*h**2 - 56*h + 28. Let g be q(-28). Suppose -9*w + 2*c + g = -7*w, c + 62 = 5*w. Calculate the remainder when 33 is divided by w.
9
Suppose -22 = -4*d - 2. Let v be -3 + 2 + (d - 0). Suppose 2*n + 101 - 311 = v*o, 3*n - 303 = 2*o. Calculate the remainder when n is divided by 25.
24
Let x(c) = 113*c - 1053. What is the remainder when x(10) is divided by 18?
5
Let a(o) = 85 - 34*o + 86 - 22*o - 272 + 61. What is the remainder when 46 is divided by a(-1)?
14
Let k = 8829 - 8056. What is the remainder when k is divided by 39?
32
Suppose -x = -0*x + 3*k - 107, k - 7 = 0. What is the remainder when x is divided by 3 - (-33)/1 - 1?
16
Let p(q) = 1883*q - 9*q**2 - 1892*q + 20 - 1 + q**3. Let h be p(10). Suppose -h*y + 34*y = 60. What is the remainder when 22 is divided by y?
10
Let o(r) = -r - 8. Let c be o(-9). Let v be (0/(-2) + 0)/c. Suppose 9*t - 7*t - 38 = v. Calculate the remainder when 93 is divided by t.
17
Let z = 21428 - 21418. What is the remainder when 1269 is divided by z?
9
Suppose 8*l + 8678 = 3*l - 4*y, 5*y = l + 1724. Calculate the remainder when 405 is divided by (2/6)/((-34)/l).
14
Suppose 2*y = -3*h + 101, -120*y = -116*y - 3*h - 247. What is the remainder when 681 is divided by y?
43
Calculate the remainder when 689 is divided by (-553)/(-4)*852/1491.
57
Let d be 24/(-60) + 912/(-20). Let u = 67 + d. What is the remainder when 247 is divided by u?
16
Let u be (-6 - (7 + -12))/(1/(-2)). Suppose -5*w + u*b + 1143 = 6*b, -2*b + 231 = w. What is the remainder when w is divided by 23?
20
Calculate the remainder when (-1845)/(-6) + 387/(-86) is divided by 157.
146
Suppose 5*k - 3*o - 457 = 307, 0 = -3*k - 3*o + 420. What is the remainder when k is divided by -17*(-2 + 1)/1?
12
Suppose 0 = 14*h + 28 + 42. Let c be 3 - 1 - (h - -5)/(-1). What is the remainder when -7 + (-212)/(-8) - c/4 is divided by 16?
3
Suppose -5*n + 1 = 21, 784 = -4*c - n. Calculate the remainder when (-6)/(c/(-198) + (-3)/3) is divided by 80.
76
Let b(a) = -2*a**2 - 76*a - 51. Let i be b(-32). Let x = i + -160. Calculate the remainder when x is divided by 22.
19
Let q = -10940 + 13243. Calculate the remainder when q is divided by 77.
70
Let s = -30227 - -30239. Let y = 8 - 0. Calculate the remainder when s is divided by y.
4
Suppose -2 = -x, 0 = -2*p - 2*p - 5*x - 30. Let d be (5/p)/((-4)/16). Suppose -d*y - 34 = -4*y. Calculate the remainder when 29 is divided by y.
12
Let m be 24/8 + 1*-1. Suppose 4*p - m*s = 46, 2*p + s + s = 32. Let o = p - -4. What is the remainder when 45 is divided by o?
11
Let s(w) = 71 + 10*w - 34*w + w**2 + 2*w**2 + w. Calculate the remainder when 219 is divided by s(7).
48
Suppose 6*u - 2*u - 35 = -d, 0 = -2*u + 2*d + 10. Calculate the remainder when ((-4)/u)/(5/(-410)) is divided by 10.
1
Suppose 4*h + 0*h = 3*i - 7888, 4*i - h - 10526 = 0. Suppose 8 = 3*k - 31. Calculate the remainder when 2/3 + i/84 is divided by k.
6
Suppose -4*q = -7*q + 6. Suppose g = 5*k - 460, 289 = 5*k - q*k + 2*g. What is the remainder when k is divided by 5?
3
Suppose -3*a - 2*w + 80 = -78, 4*w = -4*a + 212. Suppose 0 = 2*t - b - a, -5*b - 5 - 5 = 0. Calculate the remainder when t is divided by 15.
10
Let g(n) be the third derivative of n**6/60 + 7*n**5/10 + 7*n**4/12 - 5*n**3/6 - 78*n**2. Calculate the remainder when g(-20) is divided by 43.
42
Let a(h) = -11*h - 32 - 9*h**2 - h**3 + 17*h**2 - 20*h**2. What is the remainder when a(-12) is divided by 54?
46
Suppose 18*p - 11*p = 28. Suppose 4*n = -5*m + 19, -p*n + m + 21 + 28 = 0. Calculate the remainder when 284 is divided by n.
9
Suppose -4*u + 84 = q, 14*u - 26 = 13*u + q. What is the remainder when 129 is divided by u?
19
Suppose -3*q - 42 = 5*n, 6*n - 15 = n. Let d(p) = -6*p + 69. Calculate the remainder when d(q) is divided by 31.
28
Let k be ((-15)/(-30))/(1/70). Let g = k + -30. Suppose 3*i = -4*y + 371, y - 33 - 31 = g*i. Calculate the remainder when y is divided by 18.
17
Let r = 544 + -569. Suppose -2*o + 56 + 112 = 5*t, 3*o + 3*t - 234 = 0. Let x = r + o. Calculate the remainder when x is divided by 17.
15
Let l be 6 - ((1 - -4) + -11)/(-2). Suppose l*x = 3*p - p + 1077, 5*x + 2*p - 1811 = 0. What is the remainder when x is divided by 61?
56
Let s(u) = u**3 + 11*u**2 - 14*u - 17. Let h be s(-12). Let k be (-1 - 0)*(h - -24). Let q = 16 - k. What is the remainder when q is divided by 16?
15
Let q(k) = 16*k**2 + 3*k - 3. Let m be (26/(-3))/(11/(-3) + 3). Let b = -12 + m. Calculate the remainder when 28 is divided by q(b).
12
Suppose 61*k + 580 = -15*k + 12360. Calculate the remainder when 518 is divided by k.
53
Let b(i) = i**3 - 3*i**2 - 5*i + 6. Suppose 0 = 113*a - 111*a - 28. What is the remainder when a is divided by b(4)?
0
Suppose -3*m + 142 = -281. Let d = 189 - m. Calculate the remainder when d is divided by 18.
12
Let v(m) = -3*m**2 + 68*m - 33. Calculate the remainder when v(19) is divided by 78.
20
Let c(l) = -40*l + 1243. Calculate the remainder when c(30) is divided by 34.
9
Calculate the remainder when 1010 is divided by -9 - (-112)/4 - -150.
165
Suppose -53*q + 2862 = 106*q. Calculate the remainder when 3077 is divided by q.
17
Suppose 214 = -2*u + 1402. Suppose 217*y - 140*y - 11200 = -243*y. Calculate the remainder when u is divided by y.
34
Let a = -190 + 193. Let z(n) = 74*n - 5. Calculate the remainder when z(a) is divided by 20.
17
Suppose -9*p - 99 = -15*p + 117. Calculate the remainder when 84 is divided by p.
12
Suppose 7*u + 880 = 18*u. Suppose 64*i + 80 = u*i. Calculate the remainder when 133 is divided by i.
3
Let y = 3 - -1. Suppose 20 = y*t + 5*u - 70, 5*t = 4*u + 92. Let z = 147 - 29. Calculate the remainder when z is divided by t.
18
Let t be ((23625/28)/9)/(2/(-8)). Let h = -345 - t. Calculate the remainder when 85 is divided by h.
25
Suppose -4*u + 41 = -15. Let l = 1 + u. Suppose -4*k + 3*k + 19 = 3*b, k - b = l. Calculate the remainder when 109 is divided by k.
13
Let o(u) = 32*u - 28. Let m be o(1). Suppose m*a - 540 = -5*n, -3*a = -4*n - 4*a + 432. What is the remainder when n is divided by 55?
53
Let j be 2/(-6)*105/35 - -36. Calculate the remainder when (j/(-140))/(2*(-3)/696) is divided by 11.
7
Let s = 1028 - 127. Let u = s - 511. Calculate the remainder when 16/(-28) + u/21 is divided by 5.
3
Let y(n) = -n**2 + 36*n - 204. What is the remainder when 741 is divided by y(9)?
0
Suppose 0 = 15*w - 5*w - 6180. Suppose -25*y - 168 + w = 0. Suppose -2*p - 71 = -213. Calculate the remainder when p is divided by y.
17
Suppose -87*j - 90*j + 99 = -168*j. What is the remainder when 2360 is divided by j?
6
Suppose 666 = -143*f + 145*f + 3*a, 670 = 2*f + a. What is the remainder when f is divided by 117?
102
Let l(v) = 3*v - 10. Suppose -13 + 43 = 5*y. Let f(h) = 3*h -