- 23 = s, 0 = -5*f - 4*s - 4 + 94. What is the remainder when f is divided by 7?
0
Let o be (3 + 4/6)*3. Suppose 54 = o*w - 8*w. What is the remainder when 103 is divided by w?
13
Suppose -6*v = -2076 + 1950. Suppose -77 = -5*k - 0*k - 3*d, -d - 22 = -2*k. What is the remainder when v is divided by k?
8
Let u(r) = -2*r - 1. Let l(m) = -3*m. Let o(j) = -3*l(j) + 2*u(j). What is the remainder when 83 is divided by o(6)?
27
Let j = 427 + -357. What is the remainder when 266 is divided by j?
56
Suppose 0 = -a - 7*a + 40. Suppose -a = -11*r + 10*r. Calculate the remainder when 22 is divided by r.
2
Suppose 5*p + 3*l - 68 = 0, -3*p + 67 = 2*p + 2*l. Let j(s) = 5*s**2 + s - 1. Let v(y) = -y**3. Let i be v(-1). What is the remainder when p is divided by j(i)?
3
Let d = 5 + -7. Let j(p) = p**3 + 2*p**2 - 4*p - 5. Calculate the remainder when ((-3)/4)/(7/(-28)) is divided by j(d).
0
Let k(l) = l**3 - l**2 - l + 9. Let d be k(0). Let y = d + -12. Let s(n) = -19*n - 5. Calculate the remainder when s(y) is divided by 11.
8
Let t be (-304)/(-6) - 28/42. Suppose -2*s + t = -4*x, -2*s = -6*s + 3*x + 125. Let m = 8 + 1. What is the remainder when s is divided by m?
8
Let h(s) be the first derivative of -s**4 - 2*s**3/3 - s**2/2 - 3. Let d be h(-1). Suppose -d*o + 87 = 21. Calculate the remainder when 43 is divided by o.
21
Suppose -7*v + 6*v = -25. Let g = 29 + -20. What is the remainder when v is divided by g?
7
Let o(n) = 6*n**2 + 12*n + 11. Let u be o(-5). Suppose -u = -8*p + 43. What is the remainder when p is divided by 4?
2
Suppose -26*d = -56*d + 210. What is the remainder when 59 is divided by d?
3
Suppose 15*a - 6 = 12*a. Suppose -i - 5*r + 21 = 0, 2*r - 34 = -a*i - 0. Let v = 2 + 7. Calculate the remainder when i is divided by v.
7
Let b = 16 - 11. Suppose 4*u - 20 = 3*u - b*n, -19 = -2*u - 3*n. Suppose -3*s - w + 27 = 2*w, 2*w = -u*s + 48. What is the remainder when 29 is divided by s?
9
Let b be (-11 - 3/(-3))/(-3 + 1). Suppose -b*h + 22 = -4*t - 68, -3*h + 3*t = -57. Calculate the remainder when 68 is divided by h.
12
Let d = 246 - 129. Suppose 2*c - 39 = -h, 3*h = -3*c + c + d. Calculate the remainder when h is divided by 21.
18
Calculate the remainder when ((-2)/5 + 4)*210/18 is divided by ((-4)/6)/(2/(-33)).
9
Let b be 264/26 + (-22)/143. Let v = b - 17. Let s = v + 17. Calculate the remainder when s is divided by 3.
1
Let s(d) = 88*d - 76. Calculate the remainder when 107 is divided by s(2).
7
Let f = 87 + 20. Suppose -3*x = 5*n - 104, -5*n + f = 2*x + 31. Calculate the remainder when x is divided by 5.
3
Let t = -2 + 2. Suppose -27 = -6*j - 9. Suppose t = -0*k + k - j. Calculate the remainder when 8 is divided by k.
2
Let b = -14 - -20. Calculate the remainder when (-66)/1*(-27)/81 is divided by b.
4
Suppose 1 = u - 12. Let w(o) = 2*o**2 + 13*o - 77. What is the remainder when w(5) is divided by u?
12
Suppose -9*g + 63 + 9 = 0. Let s = 2 - -10. Calculate the remainder when s is divided by g.
4
Suppose 2*q - 45 = 43. Let v = q + -31. Let a(j) = -j**3 + 15*j**2 - 19*j. Calculate the remainder when a(v) is divided by 19.
15
Suppose 80*t - 81*t = -79. Let b(a) = 6*a - 3. What is the remainder when t is divided by b(5)?
25
Suppose 3*r + u = -u + 110, 5*r + 4*u - 186 = 0. What is the remainder when 509 is divided by r?
33
Suppose -2*k - a = -544, a + 457 + 889 = 5*k. Calculate the remainder when k is divided by 7.
4
Let t(m) = m**2. Let a(y) = 4*y**2 - 3*y. Let d(k) = -a(k) + 5*t(k). Suppose -4*z - 3 = -31. What is the remainder when z is divided by d(-4)?
3
Suppose 0 = -3*i + i + 2. Let y(k) = -9*k**2 - 3*k**3 - 35 + 4*k**3 + 9*k + 30. Calculate the remainder when y(8) is divided by i.
0
Let d = -15 - -9. Let x(b) = 2*b**2 + 8*b - 2. Suppose -16 - 8 = -4*s. What is the remainder when x(d) is divided by s?
4
Let m be -2*(-3)/(-18) + (-130)/(-3). Suppose -48*g + 110 = -m*g. Calculate the remainder when 152 is divided by g.
20
Let j = 15 + -9. Suppose -2*a + j*a = 180. What is the remainder when a is divided by -4*(-1)/8*24?
9
Let y(t) = t**2 + 2*t - 11. Let o(a) = -a**2 - 14*a - 19. Let v be o(-13). Let w be y(v). Let d = -2 + w. Calculate the remainder when 31 is divided by d.
9
Let w = 97 - 91. Let a(h) = h**3 + 0 + 3*h - 5*h**2 + 6 - 1. What is the remainder when a(w) is divided by 31?
28
Let s(w) = 2*w**2 - 3*w - 6. Let b(n) = -n**2 + n + 3. Let i(m) = -5*b(m) - 2*s(m). Calculate the remainder when i(-4) is divided by ((-36)/(-30))/((-4)/(-10)).
0
Suppose 21*i - 28*i = -35. What is the remainder when 68 is divided by i?
3
Suppose -8*o - 14*o = -3102. What is the remainder when 144 is divided by o?
3
Let i(m) = -5*m - 4. Let w = 28 + -22. Calculate the remainder when i(-4) is divided by w.
4
Let f = -22 + 36. Suppose c - f + 0 = 0. Calculate the remainder when 49 - -1 - (-13 - -9) is divided by c.
12
Suppose 0 = 5*y + q - 2*q + 214, 0 = 2*y + 3*q + 72. Let p = 97 + y. Calculate the remainder when p is divided by ((-2)/4)/((-2)/76).
17
Let d(b) be the second derivative of -b**4/12 + 13*b**3/6 - b**2 - 3*b. Let j be (3/3)/(2/18). Calculate the remainder when d(j) is divided by 12.
10
Let m be (-10)/(-8) - 21/(-28). Suppose m*u + 4 = 12. What is the remainder when 17 is divided by u?
1
Suppose 0 = -7*w - 18 + 102. Let v = 6 - -1. What is the remainder when w is divided by v?
5
Suppose 0 = -2*f - 5*k + 44, 4*k - 176 = -8*f - k. What is the remainder when 92 is divided by f?
4
Suppose -7*j = -12*j + 340. Let w = j - 63. What is the remainder when 17 is divided by w?
2
Let x(n) = n**3 - n**2 - 4. Suppose 220 = -24*v + 1540. What is the remainder when v is divided by x(3)?
13
Let w be -60 + -2 - (-1 + -1 - -3). Let s = -32 - w. What is the remainder when s is divided by 16?
15
Let j(z) = -9*z**2 - 7*z + 14. Let h be j(-8). What is the remainder when 63 is divided by h/(-33)*6/4?
17
Suppose -4*u + 2*h = -8*u + 608, -5*u - 4*h + 760 = 0. Calculate the remainder when u is divided by 65.
22
Suppose -4*j + 0*m = -5*m + 5, -2 = j - 2*m. Let n = 1 + j. What is the remainder when n + (3 - 2) - -28 is divided by 11?
8
Suppose 6*p - 16 = 2*p. Suppose -u = -t + 4*t - 162, -3*t - p*u = -153. Calculate the remainder when t is divided by 15.
10
Let s = 21 - 10. Let o(z) be the second derivative of z**5/20 + 5*z**4/4 - 7*z**3/3 + 39*z**2/2 - 6*z - 1. What is the remainder when s is divided by o(-16)?
4
Let o = 59 - 28. What is the remainder when o is divided by 19?
12
Let u(b) = -2*b + 30. Let v be u(14). Suppose 0 = -3*x + 2*h + 125, v*x = 6*x + 3*h - 195. Calculate the remainder when 269 is divided by x.
44
Let a = -34 - -21. Let j(h) = 2*h + 18. Let z be j(a). Calculate the remainder when (-8)/(-32) + (-430)/z is divided by 14.
12
Let d = -21 + 39. Let s = -43 + 61. Let f = s + 34. What is the remainder when f is divided by d?
16
Let l(y) = -2*y**3 + 87*y**2 - 44*y + 75. What is the remainder when 189 is divided by l(43)?
29
Suppose 284 = 15*x + 59. Calculate the remainder when 80 is divided by (-602)/(-26) + 1 + x/(-13).
11
Let u = -289 - -330. Calculate the remainder when (-486)/4*24/(-36) is divided by u.
40
Suppose -13 = -k - 3*y - 3, -48 = -2*k + y. Suppose 0 = 4*s + k - 90. Calculate the remainder when 66 is divided by s.
15
Let o = 12 - 18. Let s(j) = j**3 + 4*j**2 - 5*j + 7. Let y be s(o). Calculate the remainder when 58 is divided by (-146)/(-10) - 14/y.
13
Let u(b) = 19*b**2 + b. Let p(x) = -2*x**2 - 6*x + 1. Suppose 1 = -3*z - 8. Let i be p(z). What is the remainder when u(i) is divided by 7?
6
Let x(h) = -18*h - 11. Calculate the remainder when 141 is divided by x(-4).
19
Let k(m) = -m**3 - 11*m**2 - 15*m - 68. What is the remainder when k(-11) is divided by 9?
7
Let s(d) = d**3 - 5*d**2 + 6. Let g be s(7). Suppose -g = -4*k + 252. What is the remainder when k is divided by 23?
20
Suppose -4*j + 80 = y, -126 + 35 = -5*j + y. Calculate the remainder when 1385 is divided by j.
17
What is the remainder when 21 - -16 - (1 + 4) is divided by 19?
13
Let a(f) = 2*f**2 + 33*f + 2. Suppose s = -1 + 12. What is the remainder when a(-17) is divided by s?
8
Let u(y) = y + 7. Let g be u(5). Let f be 63/g + 4/(-16). Suppose f*q - 45 = -2*m + 2, -5*q = -5*m - 75. What is the remainder when q is divided by 6?
5
Suppose 15 + 17 = 2*f. Let i = f - -3. Let o(q) = q**