
0
Suppose -2*f + 22 = -g, -g - 55 = -5*f + 4*g. Let j(l) = 64*l**2 - 10 - 53*l**2 - l**3 + 5 + 2*l. What is the remainder when 31 is divided by j(f)?
14
Let z(h) = h**2 - h - 9. Let f be z(-6). Suppose -32*y - 107 = -f*y. Calculate the remainder when y is divided by 22.
19
Let q(m) = 7*m + 207. Calculate the remainder when q(-28) is divided by 6.
5
Suppose -2*x + 1 = -2*l - 107, 2*l - 186 = -4*x. Calculate the remainder when x is divided by ((-52)/(-6))/(-2)*-3.
10
What is the remainder when (-15 + 2)*372/(-12) is divided by 9?
7
Let b = -293 + 458. Calculate the remainder when b is divided by 8.
5
Suppose 4*z + l - 366 = 0, -4*z + 375 = 2*l + 11. Suppose m - 85 = -5*k, 0*m + 4*m + z = 4*k. Calculate the remainder when 51 is divided by k.
15
Suppose 2*z = -3*b + 256, -2*b - 4*z + 118 + 50 = 0. Calculate the remainder when 1030 is divided by b.
84
Let x(b) be the second derivative of -b**5/20 - 25*b**4/12 + 13*b**2/2 + 9*b. What is the remainder when 35 is divided by x(-25)?
9
Let v = -15 - -94. What is the remainder when 228 is divided by v?
70
Suppose 3*h = -4*f + 155, -28*h + 30*h = 3*f - 95. What is the remainder when 78 is divided by f?
8
Let v(n) be the first derivative of n**4/4 + 3*n**3 - 6*n**2 - 12*n - 3. What is the remainder when 62 is divided by v(-10)?
6
Suppose 0 = 4*b - 3*l + l - 54, l = -5*b + 71. Let y(q) = 7*q - 4. Let s be y(1). Suppose -2 = -s*o + 163. Calculate the remainder when o is divided by b.
13
Let y = 98 + 37. Suppose -4*i = y - 247. Suppose -2*o - 2 + 22 = 0. What is the remainder when i is divided by o?
8
Suppose -4*n = 8, -6*w + w + 3*n + 16 = 0. Suppose -k = 4*c + w*k - 3, 4*c - 9 = -k. What is the remainder when 11/(((-1)/(-1))/1) is divided by c?
2
Suppose 0 = -3*p - 10*p. Suppose p = 8*w - 286 - 234. Calculate the remainder when w is divided by 33.
32
Let i be 93/2 - 2/(4/(-3)). Suppose i = -0*b + 3*b. What is the remainder when b is divided by 3?
1
Let p(g) = 15*g**2 - 6*g - 14*g**2 + g + 3*g + 1. Let a be p(1). Suppose -4*s = -2*x - 14, a*s = 2*s + 2*x - 22. What is the remainder when s is divided by 4?
2
Let j = -767 - -914. Calculate the remainder when j is divided by 61.
25
Suppose 7*v = -v. Suppose v*w + 5*w - 35 = 0. What is the remainder when w is divided by 4?
3
Let t = -12 + 38. Let p(g) = 2*g**3 + 22*g**2 - 26*g - 15. What is the remainder when t is divided by p(-12)?
8
Let l(x) = 3*x + 63. What is the remainder when l(-16) is divided by 3?
0
Let p = 19 - -15. Calculate the remainder when 130 is divided by p.
28
Let q = -151 - -176. Calculate the remainder when 93 is divided by q.
18
Let n be (2 - -8)/(16/40). Let a = n - 15. What is the remainder when 25 is divided by a?
5
Let s = -5130 - -5146. Suppose -2*b = 3*j - 17, 3*j = 2*b - 2 - 33. What is the remainder when s is divided by b?
3
Let h(f) = -f**3 + 24*f**2 + 26*f + 40. Let w = -9 - -31. What is the remainder when h(25) is divided by w?
21
Let h(k) = -2*k + 7. Let r be h(8). Let v be 71 - r/(-6)*-2. What is the remainder when 22/(-55) + v/10 is divided by 2?
1
Suppose 0 = -4*q + 4*b + 96, -b = -0*q - 2*q + 47. Let u = -122 + 1. Let a = 188 + u. What is the remainder when a is divided by q?
21
Suppose 4*k + 74 = -k + 2*w, 77 = -5*k + w. Let b = 56 + k. Let d = -16 + b. Calculate the remainder when 71 is divided by d.
23
Calculate the remainder when 197 is divided by ((-23)/(-5) + -1)/(48/360).
8
Suppose 10*w = 13*w - 18. Suppose 2*q - 2*k + 6 = 0, 3*q = -3*k + 5 - 2. Let z = 4 + q. Calculate the remainder when w is divided by z.
0
Calculate the remainder when 14*(25/9 + (-18)/(-81)) is divided by 40.
2
Let x = 47 + -36. Let k(l) = -l**3 - 4*l**2 + l + 8. What is the remainder when x is divided by k(-4)?
3
Let y be (-114)/15 + (-4)/10. Let k = y + 15. Let g(r) = -r**2 - 19*r + 69. What is the remainder when g(-21) is divided by k?
6
Suppose 23*v = 22*v + 34. Calculate the remainder when 129 is divided by v.
27
Suppose 0 = 26*f - 2*f - 3408. What is the remainder when 146 is divided by f?
4
Suppose 0 = -84*w + 46*w + 48*w - 260. What is the remainder when ((-1)/(-2))/1*308 is divided by w?
24
Suppose -4*z = 4*x - 0*z - 1512, -5*z + 750 = 2*x. Calculate the remainder when x is divided by 16.
12
Suppose 3*y - c - 60 - 81 = 0, 0 = -2*y + c + 95. What is the remainder when 366 is divided by y?
44
Suppose -53 = -4*s + 31. What is the remainder when 50 is divided by ((-2)/2 - 3) + s?
16
Let q(i) = i**3 - 8*i**2 - 7*i - 8. Let w = -15 - -31. Calculate the remainder when w is divided by q(9).
6
Let m(l) = 2*l**2 + 9*l - 2. Calculate the remainder when 122 is divided by m(-8).
14
Suppose 0 = -5*w + 25, 2*n - 3*w - 2*w = 3. Let z = 98 - 93. What is the remainder when n is divided by z?
4
Let v be (-17 + 15)/(2/139). Let t = -95 - v. What is the remainder when 95 is divided by (t/55)/((-2)/(-60))?
23
Suppose 1050 = 48*a - 38*a. What is the remainder when a is divided by 20?
5
Calculate the remainder when (-11 - (-7 + -2))*-547 is divided by 137.
135
Suppose -203 = -4*p + 65. Suppose 14 + p = w. What is the remainder when w is divided by 12?
9
Suppose -4*l = 12*m - 8*m - 240, 0 = l - 1. What is the remainder when m is divided by 3/((-6)/(-5) + -1)?
14
Suppose -140 = -23*v + 90. Calculate the remainder when 60 is divided by v.
0
Suppose -5*b + 9 = -11. Suppose -2*v + 14 = 2*h, 8*v = b*v + 12. Calculate the remainder when 38 is divided by (12 - 11) + h*3.
12
Let x = -1043 - -1071. Let s(o) = -2*o + 3. Let l be s(2). Let m(u) = -110*u - 1. What is the remainder when m(l) is divided by x?
25
Suppose 25 = 3*t + 2*t. Let f(p) = -p**3 - 7*p**2 + 15*p + 121. Calculate the remainder when f(-7) is divided by t.
1
Let h(d) = d**3 + 20*d**2 + 51*d - 19. What is the remainder when h(-16) is divided by 16?
13
Calculate the remainder when 0 + (-1557)/(-6)*(-22)/(-33) is divided by 53.
14
Let a be 0/2*5/10. Let b be a/(-3) + -2 + 8. Let o(q) = -q**3 + 8*q**2 - 4*q + 7. What is the remainder when o(b) is divided by 14?
13
Suppose 3 = -4*d - 2*y - 29, -4*d = -5*y + 4. Calculate the remainder when (39/d)/((-4)/24) is divided by 18/2 - 2/(-2).
9
Let k be (-40)/(-22) + -2 - (-6180)/110. Suppose -54*m = -k*m + 102. What is the remainder when m is divided by 27?
24
Let z(f) = 27*f + 137. Calculate the remainder when z(0) is divided by 33.
5
Let z(d) = 150*d + 54. What is the remainder when z(7) is divided by 41?
38
Suppose 5*g - 26 = -4*r, 5*r - 30 = -5*g - 0. Suppose -5*t + 4*x = -675, -102 - 168 = -g*t + 3*x. Calculate the remainder when t is divided by 23.
20
Let r = 2 - 8. Let y(q) = q**3 + 6*q**2 - q + 6. Let n be y(r). Suppose -3*j + n = -36. Calculate the remainder when 61 is divided by j.
13
Let l(r) = -50*r + 44. Calculate the remainder when 656 is divided by l(-1).
92
Suppose -7 - 29 = 6*k. Let c(w) = 4*w**2 - 2*w + 1. What is the remainder when c(k) is divided by 40?
37
Let n(m) = 6*m + 50. Calculate the remainder when n(6) is divided by 8.
6
Calculate the remainder when 62 is divided by (12/20)/((-6)/(-30)).
2
Let v(u) = -8*u - 49. What is the remainder when v(-14) is divided by 13?
11
Let s be (-4)/10 - (-54)/10. Suppose 3*j - 6 = j - s*u, 2*j - 5*u = 26. Let x(b) = 2*b - 4. Calculate the remainder when x(9) is divided by j.
6
Suppose 12*n - 225 = 17*n. Calculate the remainder when 46 is divided by 76/6 - (-30)/n.
10
Suppose 0*j + 2*k + 3 = -5*j, -5*k + 1 = 4*j. What is the remainder when 42 is divided by ((2 - j) + 0)*5?
12
What is the remainder when 50 is divided by (-8)/((-8)/(-3)) + 9?
2
Let u(b) = b**2 + 13*b + 9. Let m = -91 + 153. Suppose -2*a - 35 = -3*j, -m = 5*a + 2*j - j. Calculate the remainder when 43 is divided by u(a).
7
Suppose 0*z + z = -1. Let w be (-24)/8*z*1. Suppose -8*c + w*c = -165. Calculate the remainder when c is divided by 17.
16
Let m be ((-4)/6)/(1/(-45)). Suppose -m = -3*o - 12. Suppose 21 - 109 = -4*k. What is the remainder when k is divided by o?
4
Let g = 58 - 34. Let q(u) = 2*u - 7. Let b be (9 + 3/(-1))*1. Calculate the remainder when g is divided by q(b).
4
Let t = -2277 - -2425. What is the remainder when 158 is divided by t?
10
Let t(w) = w**3 - 52*w**2 - 51*w + 2. What is the remainder when t(53) is divided by 46?
16
Let k be (-2)/(-6) - (-58)/6. Let y = k + -1. Let n(g) = g**3 - 8*g**2 - 10*g + 10. Calculate the remaind