 What is the remainder when 51 is divided by g?
9
Let z(d) = -d**2 + 7*d - 10. Let s be z(3). Calculate the remainder when 81 is divided by 1/(-2 - -4)*(26 + s).
11
Suppose -5*f + 3*l = -2*l - 920, 4*f = -5*l + 772. What is the remainder when f is divided by 63?
62
Calculate the remainder when 51 is divided by (-5 - -8) + 40 + 0 + 2.
6
Let f be (5 + -70)*(-3)/3. Suppose 0 = -3*b + r + 53, 0 = -0*b + 5*b + 3*r - f. Calculate the remainder when b is divided by 96/15 - 2/5.
4
Calculate the remainder when 44 is divided by (-4)/(-7 + 6 + (-15)/(-17)).
10
Let c(m) be the third derivative of 5*m**4/8 - 2*m**3/3 - m**2. Suppose 0 = 16*q - 221 - 67. Calculate the remainder when c(5) is divided by q.
17
Suppose -3*a - 4*g = -0*g - 22, 4*g = 5*a - 26. What is the remainder when 165 is divided by (-1 - a/(-10))/(4/(-420))?
39
Let f = 828 + -783. Calculate the remainder when 198 is divided by f.
18
Suppose -4*y + 26 = 3*r + 4, -11 = -r - 5*y. Suppose 3*v = 4*z - 47, -3*v - 25 = -11*z + 9*z. Calculate the remainder when z is divided by r.
5
Suppose b - 25 = 5*r, 3*r + 26 + 11 = 5*b. Suppose 8 = b*v - 52. What is the remainder when 46 is divided by v?
10
Let u be (-4)/30 + 336/(-180). Let g be 1/3*(u + 8). Suppose -3*c = -g*c + o - 23, -c = 2*o - 23. What is the remainder when 43 is divided by c?
20
Let u(q) = -4*q**2 + 8*q - 10. Let r(f) = 11*f**2 - 24*f + 29. Let o(c) = 3*r(c) + 8*u(c). Let a = -8 + 19. Calculate the remainder when a is divided by o(8).
4
Suppose 0 = t + 4*t - 5*q - 295, -3*q = -2*t + 123. Suppose j - 12 = 5*p - 4, t = 3*j - 5*p. Calculate the remainder when j is divided by (-58 - 5)/(-7) + -3*1.
5
Let x be 3/(4 + 15/(-6)). Suppose 5*w - 170 = 2*g, x*g - 6*g + 140 = 5*w. What is the remainder when 125 is divided by w?
29
Suppose h = -b + 34 - 11, 3*h - 5*b - 45 = 0. Let f = -34 + h. Let p = 29 + f. Calculate the remainder when 56 is divided by p.
11
Let c be ((-16)/(-10))/((-1)/(-35)). Suppose 0 = -4*l - 5*u + c, -l + 0*u + 29 = 5*u. Calculate the remainder when l is divided by 6.
3
Suppose 4*w = -2*y + 9*w + 101, -164 = -3*y - 5*w. Calculate the remainder when 155 is divided by y.
49
Suppose -3*y + 7 = w - 0*w, y = -4*w + 17. Suppose w*l - 1 = 19. Suppose 5*h - 3 = -2*o + 13, -o + 1 = -h. Calculate the remainder when l is divided by o.
2
Let r(y) = y + 27. What is the remainder when r(13) is divided by 18?
4
Let o(z) = 11*z - 223. Calculate the remainder when o(35) is divided by 40.
2
Let p = -13 - -33. Let s(w) = w + 64. What is the remainder when s(-26) is divided by p?
18
Let t(p) = -p**3 + 3*p**2 + p + 2. Let f be (-6)/9*(-18)/4. What is the remainder when (19 + -37)*(-16)/12 is divided by t(f)?
4
Let i(g) be the first derivative of 2*g**2 + 7*g - g - 2*g + 4. Calculate the remainder when i(12) is divided by 18.
16
Let q be (-16)/(-6)*30/(-1). Let y = 90 - q. Suppose -4*p + y = 5*u, 4*u - 140 = -p - 3*p. Calculate the remainder when u is divided by 16.
14
Let j(a) = -a**3 - 18*a**2 - 35*a + 48. What is the remainder when j(-16) is divided by 7?
5
Let a(f) = -f**2 - 30*f + 648. Calculate the remainder when 246 is divided by a(-44).
22
Let t = 15 - -16. Suppose 3*o = -2*v - 56 - 2, 100 = -4*o + 3*v. Let n = t + o. What is the remainder when 16 is divided by n?
7
Let z be (-83)/(-3) + 2/(-3). Let i = z - 52. Let u = i + 32. Calculate the remainder when u is divided by 5.
2
Let n(h) = h**3 - 6*h**2 - 7*h + 3. Let j be n(7). What is the remainder when 5 - (2 + (4 - j)) is divided by 1?
0
Calculate the remainder when 59 is divided by 6*511/105 + 8/10.
29
Let i(w) = -w**3 + 6*w**2 + 6*w + 10. Suppose -45 = 4*x - 65. Suppose -f = -x*k + 12, 4*f + 2*k - 26 = -8. What is the remainder when i(7) is divided by f?
0
Suppose -3597 = -54*m + 1425. What is the remainder when m is divided by -36*(16/(-6))/4?
21
Suppose -4*b = -3*c + 3, 5*b = -5*c + c + 35. Suppose 3*s + 258 = 3*f, b*f - s = s + 255. Calculate the remainder when f is divided by 28.
27
Suppose 0 = 3*d + 41 + 34. Let o = 30 + d. Calculate the remainder when o is divided by 4.
1
Let w = -240 - -272. Calculate the remainder when w is divided by 9.
5
Suppose -2*z + 50 = -b, 5*b - 5*z + 247 = 7. Let a = 55 + b. What is the remainder when 10 is divided by a?
1
Calculate the remainder when 100 is divided by 20 - 13/(78/(-36)).
22
Let p be ((-30)/(-25))/(2/20). Calculate the remainder when 3 is divided by 6/p*(2 - 0).
0
Let z(d) = -6 + d + 3 + 3 + 6*d**2 + 1. What is the remainder when 53 is divided by z(2)?
26
Let m be 6/(-45) - (-3164)/105. Let t = m + -15. Calculate the remainder when 41 is divided by t.
11
Suppose 2 = 4*n - 6. Let m be (-30)/(-4)*(-1)/(5/(-8)). Suppose 0*g + n*g = m. What is the remainder when 11 is divided by g?
5
Let d(u) be the first derivative of u**4/4 + 3*u**3 - 5*u**2 + 7*u + 13. Let j(c) = -c**2 - 12*c + 4. What is the remainder when j(-7) is divided by d(-10)?
4
Suppose -99*h = -97*h - 138. Calculate the remainder when h is divided by 28.
13
Suppose -3*a = -2*p + 4 + 18, 0 = -5*p - a + 89. Calculate the remainder when 402 is divided by p.
11
Suppose -30 = -27*l + 26*l. What is the remainder when 357 is divided by l?
27
Suppose 13*t - 128 - 67 = 0. Calculate the remainder when 49 is divided by t.
4
Let b = -14 + 13. Let r = -12 + 13. Calculate the remainder when (b/4)/(3/(-24)) is divided by r.
0
Suppose -14 = -5*t + 7*t. What is the remainder when 126 is divided by ((-28)/t)/((-3)/(-24))?
30
Let m(q) = -q**2 - 7*q - 7. Let g be m(-5). Let k(u) = 4*u - 1 + g*u - 3*u - 3*u. Calculate the remainder when 7 is divided by k(6).
2
Let g = -651 + 654. Calculate the remainder when 15 is divided by g.
0
Suppose 5*m - 2*d - 190 = 0, -m = -2*d - 6 - 40. What is the remainder when 140 is divided by m?
32
Suppose 13*k - 2252 = -29. Suppose u - 5*g + 25 = 78, 3*g = 2*u - 92. What is the remainder when k is divided by u?
42
Let w(r) = r. Let h(v) = 15*v - 9. Let u(g) = h(g) - 9*w(g). Calculate the remainder when 98 is divided by u(7).
32
Suppose -15*j - 5398 = -20*j - t, 5*t = -3*j + 3252. What is the remainder when j is divided by 54?
53
What is the remainder when 297 is divided by (-432)/(-4) - (-3 + 10)?
95
Suppose 4*v + 84 = 4*j, 13*j + 5*v + 88 = 17*j. What is the remainder when 100 is divided by j?
15
Suppose 4*q = -r + 4*r + 732, -2*q - r + 376 = 0. What is the remainder when q is divided by 21?
18
Let m(a) = a + 4. Let w be m(1). Suppose 0 = 4*u, w*k - u - 3*u = 170. What is the remainder when k is divided by 6?
4
What is the remainder when 370 is divided by 1*(-14)/(-5)*5/2?
6
Let t = -29284 - -29289. Suppose 2*n = 3*n. What is the remainder when (n - -1)/((-2)/(-18)) is divided by t?
4
Suppose -30 = -15*r + 9*r. Suppose -5 = -r*c + 10. What is the remainder when 24 is divided by c?
0
Let u be 6/(3 + (-165)/57). Suppose m - 5*h = 22, 0 = 2*m + 4*h - h - u. Calculate the remainder when m is divided by (-1)/3 + 66/9.
6
Suppose -2*g - 8 = -0, 3*p + g - 17 = 0. Let j = 94 - 91. What is the remainder when p is divided by j?
1
Let p(i) = i**2 - 19*i - 40. Let q be p(21). Suppose 0 = -q*x + 37 + 23. Calculate the remainder when x is divided by 12.
6
Let x be (5/(-10))/((-4)/8). What is the remainder when x*((-3)/1 - -18) is divided by 8?
7
Suppose 9 = 2*k + 139. Let g = -43 - k. What is the remainder when 85 is divided by g?
19
Suppose 33 - 13 = -2*g. Calculate the remainder when 2 + -13*(2 + g/2) is divided by 21.
20
Let s = -425 + 465. What is the remainder when 273 is divided by s?
33
Let c = 55 - 30. Suppose -32*m + 423 = 55 - 144. Calculate the remainder when c is divided by m.
9
Let p = -43 + 115. Suppose 0 = -o + 5*w + p, -2*w = 3*o - 16 - 149. What is the remainder when o is divided by 13?
5
Suppose 5 = 5*q + 15. Let a = 4 - q. Let v(f) = -f**2 + 8*f - 8. What is the remainder when v(a) is divided by 2?
0
Let f(j) = -j**3 + 6*j**2 - j + 35. Calculate the remainder when 81 is divided by f(0).
11
Suppose 0*h = h - 11. Let k be 2/(-7) - (-1664)/91. Let t = k - h. Calculate the remainder when 24 is divided by t.
3
Let j be (-525)/(-9) - (60/9)/5. Suppose 0 = -2*h + 2 + 2. Suppose j = s + h*s. What is the remainder when s is divided by 4?
3
Let u(s) = -3*s**2 - 15*s + 10. What is the remainder when 27 is divided by u(-5)?
7
Suppose 5*p + 64 = 2*x, 5*p + 0*p + x + 58 = 0.