 the remainder when 77 is divided by m.
5
Suppose -4*t - 16 = 0, 5*f - t = 4*t + 95. Suppose -4*u + 32 = 2*j, -3*u + 2*j + j = -f. Calculate the remainder when 18 is divided by u.
4
Suppose -4*d + 269 = -131. Suppose -11*f = -f - d. Calculate the remainder when 14 is divided by f.
4
Let c be ((-41)/(-3)*3)/1. Let f = 100 - c. Calculate the remainder when f is divided by 15.
14
Calculate the remainder when 1221 is divided by 19/(1938/1236) + (-8)/68.
9
Let n(b) = 4*b**2 - 14*b + 7. Let g(p) = -p**2 - p + 1. Let f(x) = -2*g(x) - n(x). Calculate the remainder when 22 is divided by f(7).
2
Suppose -22*u - 30 = -28*u. Suppose 0*t = 2*t - 46. What is the remainder when t is divided by u?
3
Let s(z) = 4*z - 33. Let y be s(14). Suppose -b = -28 - y. What is the remainder when b is divided by 20?
11
Suppose 2540*c - 3220 = 2530*c. What is the remainder when c is divided by 156?
10
Let b = 14 - 10. Suppose 16 + 17 = b*m - 5*v, -2*m + 5*v = -29. Let d(a) = a**2 + 3*a - 2. Calculate the remainder when 31 is divided by d(m).
7
Suppose -5*d - d + 12 = 0. Suppose 2*c + d*c = 2*k - 10, -k + 23 = 4*c. Calculate the remainder when 96 is divided by k.
8
Let u(d) = 5*d**2 + 45*d + 5. What is the remainder when u(-11) is divided by 26?
11
Let y = 421 + -355. Calculate the remainder when y is divided by 16.
2
Suppose -3*j + 2*m + 223 = -353, 5*j = m + 960. Suppose 0 = -2*h - 4*h + j. Calculate the remainder when h is divided by 18.
14
Let r = -78 + 162. Let w(k) = 3*k**3 - 19*k**2 - 9*k - 6. Calculate the remainder when r is divided by w(7).
26
Suppose -24 = 14*r - 17*r. Let n = 165 - 80. Let k = n - 56. Calculate the remainder when k is divided by r.
5
Let v(q) = -q**3 + 5*q**2 - 4*q + 1. Let t(l) = 134*l - 788. Calculate the remainder when t(6) is divided by v(3).
2
Suppose -3*a + 270 = 3*a. Suppose -3*h = -3*t - a, 3*h = -t + 31 + 18. Let r(g) = g**3 + 5*g**2 - 5*g + 4. Calculate the remainder when r(3) is divided by h.
13
Let z(t) = 7*t**3 - 7*t**2 + t + 1. Calculate the remainder when 184 is divided by z(2).
29
Let h = -87 - -134. Let r = h - 21. What is the remainder when 127 is divided by r?
23
Suppose -44 = -4*z + 2*y, -5*y - 2 = 8. Calculate the remainder when 4/z + 2736/60 is divided by ((1 - 2) + -1)*-6.
10
Let k(o) = o - 8. Let j be k(0). Let w = -10 - j. Calculate the remainder when ((-1)/w)/(8/272) is divided by 10.
7
Suppose 5*t = -5*o + 2*t + 290, -2*o - 4*t + 116 = 0. Suppose 2*a + 40 = 3*a. Suppose 8*q - a = 4*q. What is the remainder when o is divided by q?
8
Let m = 136 + -103. Let h = m + 81. What is the remainder when h is divided by 17?
12
Let y(n) = -69*n + 32. Calculate the remainder when 670 is divided by y(0).
30
Suppose -20 = 5*y, 3*n - y + 6*y + 8 = 0. Suppose 5*t + 10 = 0, 3*t = -n*g + 2*g. Let d(c) = 8*c - 5. Calculate the remainder when d(g) is divided by 7.
5
Suppose 40 = 5*t - 5. Suppose 11 + t = -5*g. Calculate the remainder when 14 + 1 + (-4)/g is divided by 9.
7
Let y(o) = 3*o**2 + 5*o - 6. Let s = 113 + -116. Calculate the remainder when y(s) is divided by (-6)/(-2)*1 + -1.
0
Let d be 2464/(-35) + 6/15. What is the remainder when (-1 + d)/(4 - 5) is divided by 12?
11
Let c(w) = w - 2. Let f be c(5). Suppose 0 = -l + f*p - p + 111, -547 = -5*l + 2*p. What is the remainder when l is divided by 22?
21
Let s = 19 + -18. Suppose 0 = -2*l - 2*t + 90, 3*t + 152 = -3*l + 7*l. What is the remainder when l is divided by 15 + -4 + s - -2?
13
Suppose -4*a = -p - 155, -3*p + 41 = 3*a - 64. Calculate the remainder when a is divided by 22.
16
Let f(s) = s**3 + 29*s**2 - 63*s - 4. Let h(l) = 7*l**2 - 4*l. What is the remainder when h(-3) is divided by f(-31)?
21
Suppose 63 = -5*t - 3*u - u, 61 = -5*t - 3*u. Let c = 15 + t. Calculate the remainder when 1/(1/228*c) is divided by 20.
17
Suppose 8*g = -216 + 824. What is the remainder when 236 is divided by g?
8
Let g = -842 - -910. What is the remainder when g is divided by 8?
4
Let v(b) = -b**2 + 13*b + 42. Let z be v(15). Suppose z*w + 2*w = 896. What is the remainder when 127 is divided by w?
63
Let z = 35 - -101. Let a = 190 - z. What is the remainder when a is divided by 15?
9
Let j = 42 - 25. Calculate the remainder when 133 is divided by j.
14
Let t(u) = -11*u**2 - 11*u + 73 - 5*u**3 - 68 + 3*u**3. Calculate the remainder when t(-6) is divided by 56.
51
Suppose 4*y = -2*c + 12, 3*c + 18*y - 17*y - 38 = 0. Let q = 6 - -63. Calculate the remainder when q is divided by c.
13
What is the remainder when 231 is divided by (-10)/(196/(-32) + 6)?
71
Let x(i) = -6*i**2 + 9*i + 5. Let w(d) = d**2 - d. Let g(y) = -5*w(y) - x(y). What is the remainder when g(8) is divided by 4?
3
Let w be (0 - (-1 - 8)) + -4. Suppose -w*o - 40 = 2*t, 4*o + 23 + 9 = -5*t. Let h = o - -10. What is the remainder when 4 is divided by h?
0
Suppose -2*g - 6*g = -32. Suppose 2*f = -3*o + 22, g*o + 44 = 3*f + 3*o. What is the remainder when 96 is divided by f?
12
Let s = 19 - 27. Calculate the remainder when 47 is divided by (-12)/8 - 140/s.
15
Suppose 0 = -30*d + 419 + 1831. Calculate the remainder when d is divided by 32.
11
Let d(s) be the second derivative of -2*s**3/3 - 11*s**2/2 + 15*s. Calculate the remainder when 50 is divided by d(-7).
16
Suppose 3*p + 6*l - 3*l = 150, 2*l + 38 = p. Suppose -4*h - c = -6 - 259, 0 = -4*c + 4. What is the remainder when h is divided by 1/((4/p)/2)?
20
Let t be (-5*1/1)/(-1). Suppose c - 3*c = 2*v + 2, 2*v + 16 = t*c. Suppose -3*g - c*g = -155. Calculate the remainder when g is divided by 8.
7
Suppose -q = -4*q + 270. Suppose 136 = 4*d - 4*t, d = 5*d - 3*t - 134. What is the remainder when q is divided by d?
26
Suppose -5*m - 17 = -3*g, 3*m - 37 = -3*g + 20. Let j(a) = -a**3 + 25*a**2 + a + 30. Let c = -41 - -66. Calculate the remainder when j(c) is divided by g.
13
Let z(h) = 3*h**2 - 11*h + 27. Calculate the remainder when z(9) is divided by 87.
84
Let v(u) be the second derivative of u**5/5 - u**4/6 + 3*u**2/2 + 2*u. What is the remainder when v(3) is divided by 84/(-9)*198/(-77)?
21
Let g = -15 - -20. Suppose -g*o = 3*y - 35, -5*y + o = 3*o - 52. What is the remainder when 15 is divided by y?
5
Let x = 598 + -145. Calculate the remainder when x is divided by 19.
16
Suppose 4*g + 2*p = 576, -2*g + 0*p = -3*p - 304. What is the remainder when g is divided by 32?
18
Let z = 99 - 91. What is the remainder when 23 is divided by z?
7
Let m(h) = 2*h**2 + 29*h - 10. Let v be m(-16). Suppose o - 5 + 1 = 0. Suppose -v = -o*z + 38. What is the remainder when z is divided by 10?
9
What is the remainder when (-674*(-9)/(-6))/(174/(-232)) is divided by 19?
18
Let v(s) = 28*s**2 - 8*s + 3. Calculate the remainder when v(-2) is divided by 28.
19
Let v be 7230/70 + (-2)/7. Let q = -10 - -12. Suppose 0 = 5*b - q - v. Calculate the remainder when b is divided by 8.
5
Let n = 659 - 646. What is the remainder when 530 is divided by n?
10
Let k be 40/8 - (2 - -2). Let m = k + 9. Calculate the remainder when m is divided by 0 + (-5)/(20/(-12)).
1
Let k(r) be the third derivative of r**4/8 - r**3 - r**2. Let x = 528 - 481. What is the remainder when x is divided by k(6)?
11
Suppose -37 = -2*n + 3*k, 0 = 2*n + 3*n + 4*k - 35. Suppose -3*d = -n - 85. Calculate the remainder when 2 is divided by d/4*2/8.
0
Calculate the remainder when (-21 - -22) + 1090/2 is divided by 9.
6
Let j = -6001 - -6080. Let i(a) = a**2 + 3*a + 6. What is the remainder when j is divided by i(-4)?
9
Let o = 980 - 921. Suppose 87 = 5*w + 3*h, -w + 2*w - 23 = -2*h. Calculate the remainder when o is divided by w.
14
Let j = 1024 - 715. Calculate the remainder when j is divided by 15.
9
Suppose -4*c + 103 = 4*k + 7, 3*c + 5*k - 76 = 0. Calculate the remainder when 70 is divided by c.
4
Suppose -5*u + 9 = -f - 2*f, -3*u + f + 7 = 0. Suppose -637 = -4*c - u*p, 0*p + 509 = 3*c - 4*p. Calculate the remainder when c is divided by 41.
40
Let z(t) = 29*t**2 - 5*t + 5. What is the remainder when z(2) is divided by 23?
19
Suppose 8 = -0*r + 2*r. Let f be 0 + 2 - (1 - r). Suppose -x + 20 = 3*y, f*y + x + 2*x - 36 = 0. What is the remainder when y is divided by 3?
0
Let y = 292 - 271. Calculate the remainder when 83 is divided by y.
20
Suppose 0 = -4*w + 2*w + 58. Calculate the remainder when 49 is divided by w.
20
Let c(j) = -4*j**3 + 7*j**2 +