he remainder when 291/6 + 4/8 is divided by u.
23
Suppose b - 61 = -3*r, -3*r - 4*b + 41 = b. Let i(l) = l**3 + 9*l**2 - 4*l + 120. What is the remainder when i(-10) is divided by r?
16
Let k = -179 - -106. Let y = 95 + k. What is the remainder when 63 is divided by y?
19
Suppose -3*b + 15 = 0, 103 = z + z + 3*b. Let x = 18 - z. Let w = x - -36. What is the remainder when w is divided by 3?
1
Calculate the remainder when 151 is divided by (-2093)/(-52) - (-1)/(-4).
31
Let u = -592 + 912. What is the remainder when u is divided by 82?
74
Let h = -37 - -57. Let w(n) = 5*n**2 - 8*n - 2*n**3 + 4 + 2*n - 7*n**2. Calculate the remainder when w(-3) is divided by h.
18
Suppose -3*c - 96 = -7*c. Suppose s + 3*m - 70 = 5*m, -3*s = -m - 200. Suppose n = 5 + s. What is the remainder when n is divided by c?
23
Let q(c) = -6*c**3 - 3*c**2 + 2*c + 5. Let j(n) = n - 6 - n**3 + 2 + 0 + 5. Let r(b) = -5*j(b) + q(b). Calculate the remainder when 3 is divided by r(-2).
1
Let h(m) = m**3 + 10*m**2 - 6*m - 12. Let x be h(-10). Calculate the remainder when 6 is divided by (4/6)/(32/x) - -2.
0
Let r = 9 - 7. Suppose 0 = 5*q + 2*n + n - 198, r*n - 197 = -5*q. Let v(l) = 2*l**2 - 8*l + 4. Calculate the remainder when q is divided by v(5).
11
Let g(t) = 3*t**2 + 3 + 2*t - 3 + 8. Calculate the remainder when g(-4) is divided by 7.
6
Suppose 0 = -0*d - 5*d - 15. Let t be -1*(d - (-4 + 0)). Calculate the remainder when 34 is divided by 53/3 - t/3.
16
Suppose 3*b - 1 + 8 = c, -10 = -2*b. Suppose -4*a = n - 95, a - 2*a - 2*n + c = 0. Calculate the remainder when 44 is divided by a.
20
Suppose -p = -2*f - 6*p + 100, -4*f + 200 = p. Suppose 2*s + f = 3*s. Let v(w) = w**3 + 17*w**2 + w + 30. What is the remainder when s is divided by v(-17)?
11
Suppose -3*j = q - 20, -2*j - q + 4*q - 5 = 0. Let g = 13 + -7. Suppose g + 25 = 2*w - a, 43 = w + j*a. What is the remainder when 51 is divided by w?
15
Let d = -703 + 783. What is the remainder when d is divided by 51?
29
Let l(c) = c**3 - 9*c**2 + 5*c - 109. Calculate the remainder when l(10) is divided by 10.
1
Let u = 2 - -6. Let n = -64 - -176. Let d = n - 74. Calculate the remainder when d is divided by u.
6
Let j(n) = -n**2 + n + 9. Let s be j(3). Suppose s*z + 4 = 19. Calculate the remainder when (-37)/(-2) - (-3)/(-6) is divided by z.
3
Let c(y) = -y**3 + 12*y**2 + 8. Let z be c(11). Let q = 257 - z. What is the remainder when q is divided by 44?
40
Let s = 170 + -167. Suppose s*w = -5*b + 78, w + 2*b + 2*b - 26 = 0. What is the remainder when (0 - 8)*(-25)/2 is divided by w?
22
Let w be -12*3/(-10 + -2). Suppose -115 = -w*i - 40. Let x = 5 - -9. What is the remainder when i is divided by x?
11
Let x(g) = -g**3 - 6*g**2 - 9*g - 6. Let p = -4117 + 4124. Calculate the remainder when x(-6) is divided by p.
6
Let q = 1527 + -1506. Let l(v) = -v**2 - 4*v + 3. Let j be l(-6). Let a = 15 + j. What is the remainder when q is divided by a?
3
Let v = 5 + 34. Let l be 11 - (3 - (3 - 3)). Suppose t - l = -0*t. Calculate the remainder when v is divided by t.
7
Let t = -690 + 705. Calculate the remainder when t is divided by 10.
5
Let q = -16 - -14. Let u be (46 - (-2 + 2))/q. Let i = u - -30. What is the remainder when 48 is divided by i?
6
Suppose 5*x - 7*z + 4*z = 50, 0 = -2*x + 3*z + 29. Calculate the remainder when 41 is divided by x.
6
Suppose -o + 4*o = -21. Let c(a) = a**2 + 4*a + 10. Calculate the remainder when c(o) is divided by 3*(16/(-24) + 6).
15
Suppose 4 = s - 3*s. Let p(w) = -18*w + 1. Calculate the remainder when p(s) is divided by (-4)/8*10*39/(-15).
11
Suppose -t - 403 = -2*i, 4*i + 2*t + 1007 = 9*i. What is the remainder when i is divided by 51?
48
What is the remainder when (435 + 0)*1/2*2 is divided by 73?
70
Let g(q) = -16*q - 95. Calculate the remainder when g(-16) is divided by 35.
21
Let d(j) = 3*j**2 + 87*j + 78. What is the remainder when 1403 is divided by d(-29)?
77
Suppose 2*i = d - 3, 2*d - 3*i - 32 = -2*d. What is the remainder when 20 is divided by d?
9
Suppose 4*w - 73 = -3*n + 136, -5*w + n = -266. Let h = 858 - 840. What is the remainder when w is divided by h?
17
What is the remainder when (3/2)/((-20)/((-85440)/36)) is divided by 85?
8
Let i be (-6 - -10 - 1*5)*-119. Let o = i + -88. What is the remainder when o is divided by 4?
3
Let r be 15/25 - (6/(-15) - -1). Suppose 7*a - 4*a + 5*m - 75 = 0, r = -2*m. Calculate the remainder when a is divided by 14.
11
Let h = 12 + -9. Suppose -k = 5*x - 68, k - h*k = -2*x + 32. Let b = -9 + x. What is the remainder when b is divided by 3?
2
Let g(s) = -s**2 - 5 + 22 - 7. Calculate the remainder when 19 is divided by g(0).
9
Let m = 79 + -55. Let s = 56 - m. Calculate the remainder when s is divided by 11.
10
Let m(h) = 2*h**3 + 9*h**2 - 7*h - 6. Let w be m(-5). Suppose 588 = 8*j - w. Calculate the remainder when j is divided by 38.
36
Suppose -15*j + 19*j = c - 23, -4*c + 62 = -j. Calculate the remainder when 20 is divided by c.
5
Let k = 65 + -45. Suppose 0 = -v + b - 2*b + 10, -2*b - k = -3*v. Let j(i) = i**3 - 7*i**2 - 7*i + 11. What is the remainder when 73 is divided by j(v)?
16
Let b = 14 - 4. Suppose 2*y - 5 = 1, 3*j + 3*y - 57 = 0. Calculate the remainder when j is divided by b.
6
Let b(s) = s**3 + 16*s**2 + 22*s + 22. Calculate the remainder when b(-13) is divided by 53.
31
Suppose -q - 3*t + 73 = 0, -q - 2*t + 73 = -5*t. What is the remainder when q is divided by 1/((18/12)/(59 - 2))?
35
What is the remainder when 8*(11 + -10) + 849 is divided by 78?
77
Let o = -4 + 14. Suppose -3*v = -523 + 421. What is the remainder when v is divided by o?
4
Let i = 210 - 179. Calculate the remainder when 87 is divided by i.
25
Suppose 3*x = 11 + 34. Let c(q) = -q**2 - q - 3. Let n be c(0). Let h = n + x. Calculate the remainder when 46 is divided by h.
10
Let p(o) = o**2 + 11*o + 14. What is the remainder when 40 is divided by p(-10)?
0
Let c(b) be the first derivative of -5*b**2/2 - 11*b - 24. Let n(p) = p**3 + 8*p**2 + 5*p + 10. What is the remainder when n(-7) is divided by c(-5)?
10
Suppose -398*x + 389*x + 621 = 0. What is the remainder when x is divided by 30?
9
Suppose 2*o = 3 + 1. Let r be ((o - 3) + 5)/2. Suppose r*q - 246 = -q. Calculate the remainder when q is divided by 28.
26
Let o(a) = -5*a + 167. Calculate the remainder when 67 is divided by o(30).
16
Let n(x) = x**2 - x - 5. Let d = 7 - 3. Calculate the remainder when 10/(-20) - (-50)/d is divided by n(4).
5
Let w(q) = q**2 - q - 5. Let i be w(-11). Let n be i/3 + 2/(-6). What is the remainder when (5 - 4)/(2/n) is divided by 12?
9
Suppose 3*z - 13 = 2*z - 5*l, -5*l = -10. Suppose 0 = 3*q - q - 44. Calculate the remainder when q is divided by 6/2 + z + 2.
6
Suppose -15 = -d + 5*s, d - 2*s - 13 = 2*s. Suppose 2*q - 44 = -a - 2*a, -5*a = d*q - 70. What is the remainder when 25 is divided by a?
9
Let b(x) = 3*x**3 + 43*x**2 + 14*x + 24. Suppose -3*u + 89 = 2*d, 4*d - 5*u - 21 = 168. Calculate the remainder when d is divided by b(-14).
22
Let r = 564 + -386. Calculate the remainder when r is divided by 4.
2
Let v = -27 - -39. Let f = v + 8. Let z = f + -3. What is the remainder when z is divided by 11?
6
Let u(l) = -l**3 + 11*l**2 + 6*l - 37. What is the remainder when u(11) is divided by 15?
14
Calculate the remainder when 158 is divided by 12*3/6*2.
2
Suppose -2*l + 3 + 1 = 0. What is the remainder when (-24)/(-12)*(-1)/(-1) is divided by l?
0
Suppose 2*i + 10 = 0, g = -2*i - 8 - 3. What is the remainder when (-1)/2*(-4 + -58) is divided by (g - -13) + 1 + -2?
9
Suppose 0 = 4*z - 89 + 65. Suppose 12 = -2*n + 5*n + a, -z = 2*a. What is the remainder when n is divided by 2?
1
Suppose -2*w = -6 - 6. What is the remainder when 8 is divided by w?
2
Suppose v + 0*v = 3*i + 9, v + 5 = -4*i. Suppose 4*z + 42 = 2*k, -20 = -3*k - z + 15. What is the remainder when i/2*2 - -64 is divided by k?
10
Suppose x - 11 = -4. Let z(m) = -m. Let l(g) = -7*g + 31. Let d(y) = -l(y) + 6*z(y). Calculate the remainder when x is divided by d(35).
3
Let d = 164 - 31. What is the remainder when d is divided by 23 - (0 - 8/2)?
25
Let a = 3002 - 1365. What is the remainder when a is divided by 91?
90
Let n be (3 + 48/(-20))/((-3)/(-15)). Suppose -3*k - 4*m = -n*m - 182, 2*k - 3*m - 136 = 0. Calculate the remainder when k is divi