q. Suppose -4*h - g = -q. What is the remainder when 45 is divided by h?
22
Let s(d) = -d**2 + 7*d - 4. Suppose 9*y - 14 = 4. What is the remainder when s(3) is divided by (-5)/(5/(-4)) + (y - 3)?
2
Let w(y) = -18*y - 158. Calculate the remainder when 43 is divided by w(-10).
21
Let q = 23 - 17. Calculate the remainder when 42 is divided by (-56)/(-5) + q/(-30).
9
Let f = -15 + 29. Suppose -542 = 5*x + 4*y, 7 + 111 = -x + 4*y. Let i = 164 + x. Calculate the remainder when i is divided by f.
12
Suppose 0 = 7*k - 0*k. Suppose k = 5*j - 822 - 473. Suppose 0*r + 69 = r + 3*p, -4*p - j = -3*r. What is the remainder when r is divided by 21?
18
Let a = 50 - 14. Let r be 18/a - 798/(-4). Let s = -142 + r. What is the remainder when s is divided by 15?
13
Calculate the remainder when ((-16)/10)/(184/(-9660)) is divided by 29.
26
Let r(q) = 104*q**3 + 2*q**2 - 1 - 4 + 4 + 3 - q. Let z be r(2). What is the remainder when z/(-10)*(-2)/2 is divided by 29?
26
Calculate the remainder when 2 - (1740/(-18) + 2/3) is divided by 28.
14
Let z be (5 + 1)/(3/6). Let j(l) = l - 10. Let q be j(z). What is the remainder when ((-4)/q)/(4/(-106)) is divided by 28?
25
Let r(j) = j**3 - 22*j**2 + 22*j - 18. Let t be r(21). Suppose 0 = -t*o + 3 - 12, m - 4*o = 42. Calculate the remainder when 117 is divided by m.
27
Suppose 8*z - 35 = 3*z. Suppose -52 = z*c - 5*c. Let s = c - -107. Calculate the remainder when s is divided by 28.
25
Suppose -8*q + 46 = 6. Suppose 2*a + 2*a - 48 = -5*n, q*n - 50 = -5*a. Let p(b) = -2*b + 1. What is the remainder when n is divided by p(-1)?
2
Suppose d + d + q = 58, -116 = -4*d - 4*q. Suppose -2*x = -4*i - 172, -8*x + 5*i = -7*x - 86. Calculate the remainder when x is divided by d.
28
Suppose v - 5*u = 1, -4 = -u - 3*u. Suppose -v*l + 21 = l. Suppose -5*q = 4*o - 62, -l*q + 8 + 13 = -3*o. Calculate the remainder when 19 is divided by q.
9
Let p(x) = 11*x**2 - 56*x + 9. Let v be p(5). Let y = -27 + 208. Suppose -v*d + y = -151. Calculate the remainder when d is divided by 21.
20
Let z(g) = g**3 - 9*g**2 + 27*g - 9. What is the remainder when 172 is divided by z(6)?
37
Let m = -146 + 149. What is the remainder when (-13)/(m/12*-2)*1 is divided by 16?
10
Let t = -98 + 104. Suppose -t*b = -68 - 22. What is the remainder when 44 is divided by b?
14
Let j(s) = s**3 + 9*s**2 + 6*s - 27. Calculate the remainder when 96 is divided by j(-7).
9
Suppose -1261*v = -1257*v - 312. What is the remainder when v is divided by 16?
14
Suppose 0 = -3*y + 6 - 0. Let h(x) = 2*x**3 - x**2 - 2*x - 1. Let m be h(y). Calculate the remainder when 77 is divided by 143/m - (-6)/(-14).
17
Let m(x) = -x**2 - x - 1. Let p be m(-2). Let i = 13 - p. Suppose 3*n - 98 = 85. What is the remainder when n is divided by i?
13
Let y(k) = k**2 - 5*k + 5. Let p be y(6). Suppose 4*j = 29 + p. Suppose h - 30 = 5*d, -3*d + 1 = j. Calculate the remainder when h is divided by 6.
3
Let h(n) = 18*n. Let z be 3 + ((-4 + 3)/(-1) - 0). Suppose 0 = 5*c + 3*l - 12 - 50, 3*c - 43 = z*l. What is the remainder when h(2) is divided by c?
10
Let k(v) = 7*v**2 + 2 + v**2 - 13*v + v**2 + 16*v. Let m(i) = -i**2 - 5*i - 1. Calculate the remainder when k(-1) is divided by m(-4).
2
Suppose 3*v - 108 = -0*r - 5*r, -5*r = 4*v - 109. Calculate the remainder when 79 is divided by r.
16
Suppose 27*r = 30*r + 15. Let n(h) = h**2 + 2*h - 8. Calculate the remainder when 24/10*(-30)/(-4) is divided by n(r).
4
Let a(t) = t**2 + t + 2. Let k be a(0). Suppose 7*n - k*n = -2*f + 33, -5*n + 21 = -f. Let w(d) = 13*d - 6. What is the remainder when w(f) is divided by 12?
10
Let f be (-15)/2*4 - (-12 + 9). Let i = f + 34. What is the remainder when 46 is divided by i?
4
What is the remainder when 51 is divided by 17 - (12/3 + -6)?
13
Suppose -z + 84 = 3*z - 4*j, -5*z + 4*j + 110 = 0. Calculate the remainder when 102 is divided by z.
24
Suppose -17 = 2*f - c - 86, -4*f + 3*c + 141 = 0. Suppose -3*t + 27 + 3 = 0. What is the remainder when f is divided by t?
3
Let i = -5 - 4. Let t be (-2)/i - 34/(-9). Suppose -30 = t*f - 42. What is the remainder when 9 is divided by f?
0
Let u(a) = -a + 8. Let p be u(5). Suppose -d + p*n = -5, 3*n - 2 = -d + 9. What is the remainder when d is divided by 3?
2
Let t = 16 - -42. Let h(u) = -u + 10. Let c be h(5). Suppose -3*q - 4*l = -0*q - 16, -c*q + 55 = l. Calculate the remainder when t is divided by q.
10
Let h = -26 + 39. Let v = -34 - -59. What is the remainder when (-13 - -10) + (v - -2) is divided by h?
11
What is the remainder when 845/15 - (-14)/21 - -6 is divided by 13?
11
Let q(i) = 20*i - 1. Let h be q(3). Suppose -x + h = -0*x. Let z(f) = 15*f**2 - 2*f - 2. Calculate the remainder when x is divided by z(-1).
14
Let p = 4 - -3. Let h(d) be the third derivative of d**5/60 + 7*d**4/24 - 2*d**3/3 + 2*d**2. What is the remainder when p is divided by h(-8)?
3
Suppose 4*d = -215 + 795. Suppose 2*h = -0*h - 3*z + 38, 0 = -4*h - 4*z + 80. Calculate the remainder when d*4/(40/6) is divided by h.
21
Suppose l - 6*l = -15. Suppose l*y - 5 = 2*y. Calculate the remainder when (3 + 1 + -3)*9 is divided by y.
4
Suppose 3*y - 4*b + 9*b = 119, b = y - 29. What is the remainder when 90 is divided by y?
24
Let w = 1153 - 1069. Let v(p) = 5*p - 6. What is the remainder when w is divided by v(7)?
26
Suppose 0 = 89*a - 153*a + 22592. What is the remainder when a is divided by 58?
5
Let d = -16 + 18. Let c = 26 - d. What is the remainder when c is divided by 14?
10
Let r = 95 + -87. Suppose -r*n = -449 + 41. Calculate the remainder when n is divided by 186/14 - 4/14.
12
Let q(b) = b**3 - 5*b**2 + 6*b - 1. Let m be (-4)/(-34) - (-2457)/357. Suppose m*c - 101 = 88. Calculate the remainder when c is divided by q(4).
6
Let c be 392/12*54/21 + 4. Suppose -4*p = -260 + c. Calculate the remainder when 212 is divided by p.
40
What is the remainder when (10 - -212) + 18/(-2) is divided by 72?
69
Suppose 0 = -2*q + l - 0*l + 14, 0 = -q - 3*l. Suppose -8*h + 6 = -q*h. Calculate the remainder when h is divided by 2.
1
What is the remainder when 41 is divided by (2*-1)/(150/(-2175))?
12
Suppose -q + 4*s + 42 = 0, 2*s + 34 = q - 0*s. What is the remainder when q is divided by (1/((3/(-54))/1))/(-2)?
8
Calculate the remainder when 98 is divided by (-614)/(-11) + 2/11.
42
Let h(d) be the second derivative of -3/2*d**2 + 0 + 2/3*d**3 + 2*d - 1/6*d**4 + 9/10*d**5. Calculate the remainder when 31 is divided by h(1).
14
Let v(p) = 3*p - 43. Let q(j) = 2*j + 9. Let f be q(3). Calculate the remainder when 13 is divided by v(f).
1
Let a = -18 - 11. Let v = -37 - a. What is the remainder when 715/8 - (-3)/v is divided by 30?
29
Let v = 14 + 9. Suppose -3 = -5*f + 57. What is the remainder when v is divided by f?
11
Let b(z) = -2*z**2 - 8*z + 13. Let g be b(-9). Let w = -54 - g. Calculate the remainder when w is divided by (14 - 1) + -6 + 5.
11
Suppose 2*s + 4 + 14 = 0. Let r = -3 - s. Let n = -53 - -80. What is the remainder when n is divided by r?
3
Calculate the remainder when 483 is divided by ((-5)/10 + 0)*-194.
95
Let v = -105 - -105. Suppose 2*h - 17 - 11 = v. Calculate the remainder when 54 is divided by h.
12
Suppose 20*t - 288 - 112 = 0. Calculate the remainder when 55 is divided by t.
15
Let w = 1 - -1. Let y(l) = l**3 + 12*l**2 - 9*l. Let k be y(-13). Calculate the remainder when ((-273)/k)/(3/4) is divided by w.
1
Let i(g) = -g**2 + 7*g + 8. Let o be i(7). Let r(b) be the second derivative of b**3/3 - 2*b**2 - b. Calculate the remainder when 44 is divided by r(o).
8
Calculate the remainder when -26*-22*5/60*3 is divided by 49.
45
Let u(q) = 5*q + 10. Let k be u(-3). Let m = 6 - k. Calculate the remainder when (30 + 1)*(-1 + 2) is divided by m.
9
Let x = 306 + -283. What is the remainder when 1331 is divided by x?
20
Suppose q + 34 - 50 = 0. Calculate the remainder when 270 is divided by q.
14
Suppose -83*b = -75*b - 1528. Suppose 0 = t - 1 - 64. What is the remainder when b is divided by t?
61
Let i = -3 - -7. Suppose i*d + 0*h + 26 = 2*h, 3*h = 3*d + 27. What is the remainder when (6/d)/(1/(-24)) is divided by 14?
8
Suppose -19 = -19*s + 570. Calculate the remainder when 241 is divided by s.
24
Let q(y) = -y**3 - 6*y**2 + 7*y - 8. Let p be 96/(-18)*(-9)/2. What is the remainder when q(-8) is divided by (-2 + 