der when k is divided by 9.
5
Suppose -16*v - 5*r + 241 = -14*v, 634 = 5*v + 2*r. Calculate the remainder when v is divided by 19.
14
Let i = -592 - -668. Calculate the remainder when 180 is divided by i.
28
Let f be -3*1/3*(-471)/(-3). Suppose 2*g - 203 = 337. Let u = f + g. Calculate the remainder when u is divided by 29.
26
Let h be 11/66 - 158/(-24)*-2. Let c = 32 + h. What is the remainder when c is divided by 6?
1
Let m be (-80)/(-30)*(1 - 4). Let f = m - -11. Suppose -2*p - 79 = -f*x, -2*x + p = -5*x + 64. What is the remainder when 45 is divided by x?
22
Suppose 3*r = -2 + 5. Let j be (4/10)/(r/5). Calculate the remainder when 23 is divided by (j - -2)*3*1.
11
Suppose 3*i = 4*k - 58, i + 2*k - 38 = 3*i. Let a(h) = -5*h - 3. Calculate the remainder when ((-624)/i)/(4/6) is divided by a(-6).
25
What is the remainder when 129 is divided by (4 - (2 - -1))*(-3 + 22)?
15
Let v be 637/(-26) - (-2)/(-4). Let s = v - -28. Calculate the remainder when s is divided by 3.
0
Let m = 595 + -316. Suppose 0 = 5*g - 191 - m. Calculate the remainder when g is divided by 48.
46
Suppose 6*a - 395 = a. What is the remainder when a is divided by ((-4)/(-2))/(3 - (-316)/(-108))?
25
Let d(l) = -4*l + 2*l + 2*l + 3*l**2 + l. Let w be d(1). Suppose w*a + 4*t - 56 = 0, 3*a = 8*a + 4*t - 65. Calculate the remainder when 26 is divided by a.
8
Suppose f + 0*f + 8 = 0. Let x = 39 + f. Let w = 28 - 11. Calculate the remainder when x is divided by w.
14
Suppose 0 = 2*y - 8*y - 210. What is the remainder when 15*y/21*(-2 + 1) is divided by 15?
10
Let n(y) be the third derivative of -y**4/6 - 2*y**3/3 - 5*y**2. Let o be n(-2). Calculate the remainder when 53 + o/3*3 is divided by 15.
12
Suppose -4*c + 5 = 3*q - 26, c - q = 13. Suppose c + 0 = 5*k. Calculate the remainder when 4 is divided by k.
0
Let t be (-1)/((-38)/(-10) + -4). Suppose 0 = -t*z + 260 + 15. Calculate the remainder when z is divided by 21.
13
Let j(f) be the third derivative of -f**6/120 + 2*f**5/15 - f**4/6 - 5*f**3/6 - 3*f**2. What is the remainder when j(6) is divided by -11*((-4)/18 - 42/54)?
10
Suppose 30 = -0*q + 2*q. Suppose 2 = -3*o - 13. What is the remainder when 63/o*-1*30/9 is divided by q?
12
Let b be (-1)/(2/(-10)*1). Suppose 7*i = b*i + 4. Suppose 5*f + 3*z - 231 = 0, 21 + 73 = 2*f + i*z. Calculate the remainder when f is divided by 12.
9
Suppose -h = 2*h - 12. Suppose 0 = -13*n + 6*n + 35. Suppose 2 = n*j - 83. What is the remainder when j is divided by h?
1
Suppose -20*o + 8*o = -924. What is the remainder when 303 is divided by o?
72
Let l = 237 - -305. What is the remainder when l is divided by 89?
8
Let v(h) be the first derivative of -h**4/4 - 11*h**3/3 - 3*h**2/2 - 4*h + 12. Suppose 5*c = 3*c - 22. Calculate the remainder when v(c) is divided by 10.
9
Let o(p) = 2*p**2 + 6*p + 11. Let q be o(-4). Suppose 5*v - q = 46. What is the remainder when 90 is divided by v?
12
Suppose -4 = -2*v + 6. Suppose z = 2*z - v. Let y = 2 + z. Calculate the remainder when y is divided by 3.
1
Let i = -80 - -95. Let z(s) = -s**2 + 18*s - 29. What is the remainder when 29 is divided by z(i)?
13
Suppose 2*a - 4*w - 3 = w, 0 = -3*a - 4*w + 16. Suppose a*o - 48 = 4*n - n, -o + 13 = -n. Calculate the remainder when o is divided by 6.
3
Let d = -457 + 621. Calculate the remainder when d is divided by 83.
81
Let b = 2478 + -2454. Calculate the remainder when 646 is divided by b.
22
Calculate the remainder when 52 is divided by -2 - (-22)/10 - (-44)/5.
7
Let q = -19 + 16. Let o(f) = -f**2 - 5*f - 4. Let n be o(q). Suppose -n*j - 162 = -4*j. What is the remainder when j is divided by 28?
25
Suppose f + 3384 = 5*n + 627, -n - 4*f + 564 = 0. What is the remainder when n is divided by 139?
135
Let h = -1 - -4. Suppose u = -3*d + 12, u + 2*u - 48 = -h*d. Suppose 4*i - n - 90 = -3*n, i - n = u. What is the remainder when 82 is divided by i?
19
Let m = 10 + -25. Let g(q) = -q**2 - 17*q - 15. What is the remainder when 57 is divided by g(m)?
12
Let b(v) = 8*v - 8. Calculate the remainder when b(6) is divided by (34/(-357))/((-40)/(-70)) - 133/(-6).
18
Let v(o) = -12*o - 1. Let w be v(-4). Suppose -3*k + w + 16 = 0. Let f = 184 + -176. What is the remainder when k is divided by f?
5
Suppose -3*a = -21*a + 2682. Let p(o) = -o**2 - o + 38. What is the remainder when a is divided by p(0)?
35
Let z(c) = -c**3 + 4*c**2 - 3*c. Let m be z(4). Let g = 17 + m. What is the remainder when g is divided by 4?
1
Suppose -4*f = -3*u - 11, u = -4*f - 2 + 25. Suppose -u*a + 52 = -a. Suppose -719*n = -710*n - 441. What is the remainder when n is divided by a?
23
Let a(w) = -3*w**2 - 3*w + 4. Let q be a(3). Let y = -15 - q. Calculate the remainder when y is divided by -3*2*(-5 + 4).
5
Suppose -x + 2*x = 5, g + 4*x = 34. Let y be (-202)/(-22) - 28/154. Calculate the remainder when y/(-4)*(-6 + -6) is divided by g.
13
Suppose 0 = 2*z - 0 - 12. Let n(b) = b**3 - 6*b**2 + 4*b + 10. What is the remainder when 100 is divided by n(z)?
32
Suppose 2*t = -3*h - 0 + 16, -3*h = -2*t - 8. Suppose v - 26 = h*r, -r + 36 = 10*v - 6*v. Calculate the remainder when 68 is divided by v.
8
Let v = 8 + -7. Let p be (-29)/((2 - 3)/v). Suppose p + 1 = 2*s. Calculate the remainder when s is divided by 9.
6
Let y = -80 + 134. Let k be -2 + 1 + 28 - 0. Suppose -d = 8 - k. Calculate the remainder when y is divided by d.
16
Let i(z) = 5*z - 43. Calculate the remainder when 80 is divided by i(14).
26
What is the remainder when (68 - 2*2/4) + -3 is divided by 5?
4
Suppose -5*c - 43 = -k, 2*k + 43 = 3*c + 122. What is the remainder when 263 is divided by k?
35
Suppose 258 = 3*v - 4*y - 84, -4*y = -5*v + 578. Calculate the remainder when v is divided by 62.
56
Suppose 481*z = 477*z + 284. Calculate the remainder when 921 is divided by z.
69
Let a(n) = -n**3 + 39*n**2 - n + 46. Calculate the remainder when 26 is divided by a(39).
5
Let w(l) = 2*l + 6. Let o be w(-29). What is the remainder when (47/(-2))/(6 + o/8) is divided by 10?
7
Suppose -3*q + 2*p + 137 = 0, 3*q - 149 = -14*p + 19*p. Calculate the remainder when 207 is divided by q.
35
Let d = 84 - 30. Let r = d + 47. What is the remainder when r is divided by 26?
23
Suppose -j = -0*j, 0 = -3*x + 5*j - 597. Let k = x + 349. What is the remainder when k is divided by 51?
48
Let f(t) = t**2 - 3*t + 42. Calculate the remainder when f(7) is divided by 37.
33
Let d(x) = x - 20. Let u(g) = -2*g + 20. Let k(b) = 6*d(b) + 5*u(b). Calculate the remainder when 47 is divided by k(-9).
15
Let r(l) = -l**3 + 5*l**2 - 4 + 5*l + 6 - 1. Suppose 2*p - 10 = -u, u = -3*p - 3*u + 15. Calculate the remainder when 76 is divided by r(p).
24
Suppose 0 = 5*z - 8*z + 9. Suppose r = 2*q - 10, 12 + 15 = 5*q - z*r. Let k(c) = -c**3 - 9*c**2 + 10*c + 9. What is the remainder when k(-10) is divided by q?
0
Let v(m) = m**2 - m. Let s(r) = 4*r**2 - 7*r + 3. Let b(o) = -s(o) + 6*v(o). Let z(n) = 3*n. Let h be z(1). What is the remainder when 52 is divided by b(h)?
16
Let q = 687 + -646. Let y = 149 + 12. Calculate the remainder when y is divided by q.
38
Let s(p) = -p**3 - 4*p**2 + 3360 - 3384 - 11*p - 4*p**2. What is the remainder when 8 is divided by s(-7)?
0
Suppose 3*r - 3468 = -3*v, -4*v + 81*r - 78*r = -4610. What is the remainder when v is divided by 145?
139
Let h be -7 - 372/((-32)/(-8)). Let u be 16*(-1 + 3)*-2. Let g = u - h. Calculate the remainder when g is divided by 19.
17
Let k(x) = 5*x + 55. Let n(v) = 2*v**2 + 9*v + 8. Calculate the remainder when k(4) is divided by n(-6).
23
Let u = -6 - -8. Suppose 4*y = -y + 10. Suppose 2*o - 2 = y. Calculate the remainder when u is divided by o.
0
What is the remainder when (-1)/((-1)/(-3)) + 79 + 3 is divided by 28?
23
Let d(l) = 3*l - 33. Let o be d(16). Suppose -31 + o = -g. Suppose 2*c + 305 = 7*c. What is the remainder when c is divided by g?
13
Suppose 4*p + 0*y + y - 12 = 0, -2*p - 2*y = 0. Suppose -j = -p*j + 36. What is the remainder when 21 is divided by j?
9
Suppose -4*l = -3*l - 11. Calculate the remainder when 26 is divided by l + -4*(-4 - -5).
5
Suppose -16 = -4*p, -4*p = -3*b - 41 + 115. Suppose n - 62 - b = 0. Calculate the remainder when n is divided by 24.
20
Let q(x) be the third derivative of x**6/120 - x**5/6 + x**4/12 - x**3 + 13*x**2. Calculate the remainder when q(