remainder when 55 is divided by u.
23
Suppose 4*a = -8, -c + a - 2*a + 11 = 0. Suppose z - 33 = -o - z, 2*o - 58 = -2*z. Calculate the remainder when o is divided by c.
12
Suppose 1 = 2*d - 5*y, -5*d - y = -4*y - 12. Let g(p) = -p**2 + 4*p + 1. Let c be g(4). Calculate the remainder when (-5 + 38)*c/d is divided by 5.
1
Suppose 4667 = 14*t - 12455. What is the remainder when t is divided by 12?
11
Suppose -h - 15 = -3*o - o, -2*o - 4*h + 12 = 0. Calculate the remainder when 75 is divided by 22/(-5)*(-10)/o + 2.
10
Let d be (3 - 2)/(2 - (-15)/(-7)). Let g(h) = -h**3 - 4*h**2 - 8*h + 17. Calculate the remainder when g(d) is divided by 37.
35
Let s(k) = k**3 + 7*k**2 + 5*k - 13. Let q be s(-6). Calculate the remainder when ((-84)/8)/q*18 is divided by 10.
7
Let f(u) = -u**3 - 4*u**2 + 7*u + 32. Calculate the remainder when f(-7) is divided by 22.
20
Suppose -2*j + 10 = -0*j - y, y + 2 = 0. Let m(w) = 22 + j*w - 4*w - w - 1. Calculate the remainder when 19 is divided by m(10).
8
Let t(p) be the first derivative of p**4/4 - 4*p**3 - 6*p**2 + 12*p - 5. Suppose 3*b - 28 = 14. Calculate the remainder when t(13) is divided by b.
11
Let y(l) be the third derivative of l**5/20 + 5*l**4/24 - 5*l**3/3 - 24*l**2. What is the remainder when y(-6) is divided by 18?
14
Suppose -120 = -2*o - 10*o. Calculate the remainder when 127 is divided by o.
7
Let t = 101 - 87. Calculate the remainder when 50 is divided by t.
8
Let m be 2/2 + -4 + (-3)/(-1). Let b(n) = n**3 - n + 66. Let z = -2 + 19. Calculate the remainder when b(m) is divided by z.
15
Let d = 1 - 3. Let y = 6 - 3. Calculate the remainder when 3 - -5 - (-4)/d is divided by y.
0
Let c = 29 - -62. Let x(k) = -k + 8. Let m be x(4). Let b = m - -19. Calculate the remainder when c is divided by b.
22
Let i(w) = w**2 + 5*w + 3. What is the remainder when i(8) is divided by 10?
7
Suppose 5*o + 9 - 34 = 0. Suppose -q = 2*h - h - 7, -5*q + h = -11. Calculate the remainder when o is divided by q.
2
Suppose 0 = 123*b - 124*b + 10. Calculate the remainder when 173 is divided by (-18)/b + 2 - (-1752)/40.
41
Suppose 2*j + 2*h - 108 = 0, -h = -2*j - 4*h + 105. Suppose 9*s - 8*s = 22. Calculate the remainder when j is divided by s.
13
Let f = 27 - -46. Let t = -57 + f. Calculate the remainder when t is divided by 6.
4
Let f(c) = 1 - 12*c**2 + 9*c + 7*c**2 + 7*c**2 + 12. Let l(a) = -a - 2. Let x be l(3). Calculate the remainder when 34 is divided by f(x).
16
Let h = 33 + -31. Calculate the remainder when h/(1*(-6)/(-153)) is divided by 13.
12
Let f = -14 + 14. Suppose -3*n = -f*n - 6. Suppose 2*d - 2*v - 4 = n*v, d + 2 = 4*v. What is the remainder when 22 is divided by d?
4
Suppose -2574 = 11*o - 77*o. Calculate the remainder when o is divided by 14.
11
Let f = 1166 + -1155. Let j = -31 + 46. Suppose 3*c = 3*g - c - j, -4*c = 0. What is the remainder when f is divided by g?
1
Let g = -754 - -764. Calculate the remainder when 528 is divided by g.
8
Let v(b) = -29*b + 18. Let q be v(-3). Suppose -230 = 100*r - q*r. Calculate the remainder when 275 is divided by r.
45
Let m(r) = r**3 + 5*r**2 + 4*r + 2. Let n be m(-4). Suppose n*q = 29 + 1. What is the remainder when q is divided by 2 - 0 - (-7 + 3)?
3
Suppose 11 - 4 = 5*p + 4*w, 8 = 4*p + 2*w. Suppose -p*l + 6 + 0 = 0. Suppose -l*q + 17 = -93. Calculate the remainder when q is divided by 14.
13
Suppose 6*g - 37 - 17 = 0. Calculate the remainder when g is divided by 6 + -1 - (-4 + 3).
3
Suppose -t - t = 5*p - 943, 0 = 2*p + 5*t - 373. Suppose -4*f = 5*y - p, 2*f - 7*f + 4*y = -267. What is the remainder when f is divided by 11?
7
Suppose -63*f - 3042 = -89*f. Calculate the remainder when 932 is divided by f.
113
Let u(t) = -37*t + 58. Calculate the remainder when u(-13) is divided by 109.
103
Let g(k) be the first derivative of -5*k**3/3 + 178*k - 31. What is the remainder when g(0) is divided by 10?
8
Suppose -782 = 79*s - 96*s. Calculate the remainder when s is divided by 14.
4
Let l(w) be the first derivative of w**3/3 + 7*w**2/2 + 9*w - 39. Calculate the remainder when l(-10) is divided by 10.
9
Suppose 11*a = 12*a - 2. Suppose -3*b = a*w - 115, 0 = -3*b + 5*w + 120 - 40. What is the remainder when b is divided by 9?
8
Suppose 114*y - 9 = 115*y + 4*k, -12 = -4*y - 4*k. Let v(m) = -m**3 + 4*m**2 + 1. What is the remainder when v(3) is divided by y?
3
Let u(s) = 3*s**3 + 8*s**2 - 15*s + 2. Calculate the remainder when 55 is divided by u(2).
27
Let h = 5097 + -1700. What is the remainder when h is divided by 11?
9
Suppose -134*a + 1110 = -130*a - 5*f, -4*f - 272 = -a. Calculate the remainder when a is divided by 22.
16
Suppose 5*m - 25 = 10. Let d = 9 - -4. Calculate the remainder when d is divided by m.
6
Let c(p) = 4*p**2 - 5*p + 5. Let k be c(2). Let m = k - 9. What is the remainder when (10/(-4))/(1/(-2)) is divided by m?
1
Suppose 0 = 2*y - 4*m - m + 21, 2*y + 6 = 2*m. Suppose -3*s + 10 = 4. Suppose -s*h + 4 + 0 = 0. What is the remainder when y is divided by h?
0
Suppose 0*x - 2*x = 5*f - 28, -5*x + 4*f + 37 = 0. Let c be ((-2392)/(-78))/(1 - (-1)/(-3)). Let l = c + -31. What is the remainder when l is divided by x?
6
Suppose 2*l + f = 24 + 25, -5*l + 135 = 5*f. Let y = -2096 - -2179. Calculate the remainder when y is divided by l.
17
Let j(p) = p + 3. Let x be j(0). Suppose 0 = d - 0*d - 5*i - 7, i = x. Let a(z) = 4*z**2 + 2*z. Calculate the remainder when d is divided by a(-2).
10
Let o(n) = 48*n - 58. Suppose 0 = -2*i - r + 376, 0*i = -5*i + 4*r + 940. What is the remainder when i is divided by o(2)?
36
Let v = -155 - -157. Let k(w) = -5*w. Let j be k(-1). Suppose 3 = v*d - 3*z - 2, -j*z + 22 = d. Calculate the remainder when 11 is divided by d.
4
Let r(i) = i**3 - 6*i**2 - 10*i - 1. Let k be r(7). Let c = 16 - k. Calculate the remainder when 111 is divided by c.
35
Suppose -6 = 2*s, 1 = m + 3*s - 3. Let a be 20/50 + 863/5. Let j = a + -123. What is the remainder when j is divided by m?
11
Let p(d) = 3*d - 6. Let x be p(6). Let l = x + -10. Suppose i + 0 - 1 = 0, 3*h - 74 = -l*i. Calculate the remainder when 47 is divided by h.
23
Let c(g) = 3*g**2 - 14*g + 41. What is the remainder when 131 is divided by c(4)?
32
Let w(r) = 2*r**2 + 39*r. What is the remainder when 158 is divided by w(-20)?
18
Let t = 87 + -59. Let a(j) = -j**2 + 3*j - 7. Let p be a(-9). Let x = 196 + p. What is the remainder when x is divided by t?
25
Suppose -2*u = -18 + 8. Suppose u*i + 4 = -1, 332 = -5*r - 2*i. What is the remainder when (r/22)/((-1)/14) is divided by 15?
12
Suppose -4*k = 5*b - 11, 5*b - 18 = 3*k - 70. Calculate the remainder when k is divided by ((-90)/75)/((-3)/15).
3
Let g(v) be the third derivative of v**6/120 - v**5/10 + 3*v**4/8 + 4*v**3/3 + 14*v**2. What is the remainder when g(6) is divided by 22?
18
Suppose -f - 32 = -5*u, -2 - 18 = 4*u. Let l = f + 95. Calculate the remainder when 73 is divided by l.
35
Let a = 305 + -296. Calculate the remainder when 177 is divided by a.
6
Suppose 2*m = -3*q - 6, 4*m + 2*q = q + 8. Let g(c) = -c + 10. What is the remainder when 11 is divided by g(m)?
4
Suppose 4951 - 1051 = 13*r. Calculate the remainder when r is divided by 50.
0
Suppose 0 = -4*r - g + 7, 2*r - 2*g - 4 = r. Suppose t = -2*y + 33, -5*y + r*t = -0*y - 60. What is the remainder when 41 is divided by y?
13
Suppose -7*f + 6*f = 15. Let o = -21 - f. Let y = 2 - o. Calculate the remainder when 15 is divided by y.
7
Suppose 118 = 24*v - 22*v. Calculate the remainder when v is divided by 19.
2
Let w(l) = 6*l + 3 + 29 + 22. Calculate the remainder when (-1 - 0)*1 + 34 is divided by w(-7).
9
Suppose 2*p + k - 3 = 18, 5*p - 2*k - 66 = 0. What is the remainder when p is divided by 22/8 - 4/(-16)?
0
Let z(g) = g**2 + 21*g + 63. Let u be (-1)/(1/(-54)*-3). What is the remainder when z(u) is divided by 3?
0
Let h(o) = o**3 + 17*o**2 + 12*o - 1. Let b(w) = -2*w - 4. Calculate the remainder when h(-16) is divided by b(-10).
15
Suppose 160 = 5*f + 3*f. What is the remainder when ((-36)/f)/(3/(-45)) is divided by 10?
7
What is the remainder when (62/(-8))/(-5 + 1027/208) is divided by 36?
16
Let u(c) = -2*c**2 + 37. Calculate the remainder when 72 is divided by u(0).
35
Let w(v) = 23*v**2 + 21*v - 21. What is the remainder when 229 is divided by w(1)?
22
Let p(u) = 2*u**2 + 3*u +