- 11*b. Suppose -o*q = -26*q + 36. Calculate the remainder when 118 is divided by q.
10
Suppose -40*l - 21*l + 5000 = -21*l. Calculate the remainder when 1132 is divided by l.
7
Suppose -12 = -s - 5*m - 4, -6 = -3*s + 3*m. Let j(u) = u + 4. What is the remainder when 12 is divided by j(s)?
5
Let j be -179 - (0 + 4) - 7. Suppose 5*i + 4*y = -672, -2*i - 267 = 2*y - y. Let z = i - j. Calculate the remainder when z is divided by 15.
13
Suppose 0 = 3*o - 0*o - 828. What is the remainder when o is divided by ((-15568)/40)/(-14) + (-35)/(-175)?
24
Let h be 9/3 + 96 + 2/(-1). Suppose 4*s - 3 = 5, s - h = -5*q. What is the remainder when (-5)/(-10) - 214/(-4) is divided by q?
16
Suppose 1273 - 1057 = 27*l. What is the remainder when ((-6)/(-4))/(2/220) is divided by l?
5
Let j = -839 + 586. Let q = 261 + j. Calculate the remainder when 101 is divided by q.
5
Let u be ((-4 + 121)/9)/((-1)/(-14)). Suppose -686 = -8*a - u. What is the remainder when 131 is divided by a?
5
Suppose 54*p = 37*p - 34. Let y(n) = -2*n. Let o be y(2). What is the remainder when 34 is divided by p*o/(-1)*(-56)/64?
6
Suppose 5*t + 45 = 5*v, -8 = 2*t - 3*v + 6. What is the remainder when 35 is divided by 4 + -2 + (1 - 4 - t)?
11
Let p be (276/9)/((-176)/(-132)). Suppose -5*h - 8 = -3*q + p, -2*h = 5*q - 93. Calculate the remainder when 338 is divided by q.
15
Let m(w) = w**3 - 7*w**2 - 3*w - 3. Suppose 0 = 4*l + 8, 0 = 4*n + 3*l - 66. Suppose 0 = -25*h + n*h + 28. Calculate the remainder when m(8) is divided by h.
1
Suppose -27*f = 151*f - 9683 - 36775. Calculate the remainder when 1302 is divided by f.
258
Suppose 109 = 4*m + 17. Let x(r) = -12*r**2 - 224*r - 24. What is the remainder when x(-17) is divided by m?
17
Suppose -3*u - 4*f + 34 = 0, -5*u + 62 = 6*f - 2*f. Let p(y) = y**2 - 13*y + 49. Let o = 46 - 30. What is the remainder when p(u) is divided by o?
15
Suppose b = -5*d + 89, -d + 3 = 4*b - 11. Calculate the remainder when (1*38)/(10/12 + 180/(-540)) is divided by d.
4
Suppose 2*o = -9*o - 70884. Let m be (2/6)/(3*(-4)/o). Let i = m + 6. What is the remainder when i is divided by 17?
15
Suppose -2*w = -12, -39*s + 4*w - 54 = -41*s. What is the remainder when s is divided by 6?
3
Let x(y) = 4*y**2 - 41*y + 38. Let s be x(11). Suppose -5*r + 137 = 377. Let v = s + r. Calculate the remainder when 90 is divided by v.
21
Suppose 2215 = -11*p + 4789. What is the remainder when p is divided by 88?
58
Let j = -5859 + 6117. Calculate the remainder when j is divided by 5.
3
Suppose -2*l - 3*l = -55. Let b(w) = 375*w - 6. Let t be b(2). Calculate the remainder when l is divided by t/120 - 1/5.
5
Let f(a) = 6*a**2 + a. Let x be f(-1). Suppose -14*v + 2243 = 311. Let z = x + v. What is the remainder when z is divided by 29?
27
Let g(y) = y**3 - 6*y**2 + 2*y + 35. What is the remainder when 0 + 1 + (-2 - -400) is divided by g(5)?
19
Suppose 0 = -4*d + 377 + 115. Let a = -112 + d. What is the remainder when 38 is divided by a?
5
Let m be 108/(-6) + (-2 + 2)/(-1). Let w(g) = g + 21. Let s be w(m). Suppose -5*u + y = -23, y + s*y - 13 = -u. What is the remainder when u is divided by 2?
1
Suppose -4*a - 5*j + 64 = 0, 1455 = 5*a + j + 1396. Let m(w) = 1. Let i(y) = y - 5. Let h(d) = i(d) + 3*m(d). Calculate the remainder when a is divided by h(4).
1
Let s = 23 - 14. Let m(y) be the second derivative of -y**5/20 + 7*y**4/12 - 3*y**2 - 8*y. What is the remainder when m(4) is divided by s?
6
Let d(s) = 84*s + 2 + 14 - 106*s - 2*s**2. Calculate the remainder when 253 is divided by d(-11).
13
Suppose 0 = 10*f - 8*f - 6. Let o(l) = 2*l + l + 12*l**2 - 2*l - l**f - 5. Calculate the remainder when 18 is divided by o(12).
4
Suppose -2*h - 602 = -5*x - 210, 0 = 2*x - 4*h - 176. What is the remainder when 4253 is divided by x?
73
Suppose 0 = 28*o - 12*o - 1840. Suppose 78 - o = -x. Calculate the remainder when x is divided by 13.
11
Let l(b) = 5*b**2 - 5*b - 8. Let r be l(5). Suppose r*k - 144 = 88*k. Calculate the remainder when 214 is divided by k.
34
Suppose y = 3*k - 84, k - 43 = -4*y - 2. What is the remainder when k is divided by (4/8)/(11 + (-373)/34)?
12
Suppose 15*f = 17*f - 6. Suppose -f*u + 21 + 36 = 0. Calculate the remainder when -34 + 40 + (48 - (-2 + 1)) is divided by u.
17
Suppose -115*p = -110*p - 35. Let t(k) = k**2 - 6*k + 2. Calculate the remainder when (-1 + -2)*(-3 + -2) is divided by t(p).
6
Suppose -3*m - 47 = 5*v, 3*m + 10 - 63 = 5*v. Suppose 4*u + 32 + 46 = 2*o, -43 = -o + 3*u. What is the remainder when 81 is divided by (-14 - v) + (o - -1)?
25
Suppose -v = -4*u + 158, v - 4*v - 4*u - 426 = 0. Let z = 177 + v. What is the remainder when z is divided by (-8)/3*6*-1?
15
Suppose 7*p + 3551 = 5*i + 3*p, 5*i + p = 3531. What is the remainder when i is divided by 12?
11
Suppose -19*c = -18*c - 48. Suppose 0 = -c*x + 49*x - 5. Suppose -32 = -v - x*w, 3*v + 2*w - 122 = -0*v. Calculate the remainder when v is divided by 15.
12
Let g = -24415 - -24760. What is the remainder when 1000 is divided by g?
310
Suppose 0 = -48*x - 1430 + 7574. Calculate the remainder when 395 is divided by x.
11
Suppose 1307 = 51*g - 529. Calculate the remainder when g is divided by 1.
0
Let z = -491 - -27. Let q = -439 - z. Calculate the remainder when 697 is divided by q.
22
Suppose 0 = 2*n - n. Let x = 2 + n. Calculate the remainder when 1 + (1 - -22) + (1 - (15 - 12)) is divided by x.
0
Suppose 25060 + 134963 = 167*v - 120203. Calculate the remainder when v is divided by 152.
6
Let n(i) = -63*i + 5*i**2 - i**2 - 35 + 55*i + 7*i**2. What is the remainder when 171 is divided by n(-3)?
83
Suppose -4*h = 3*u - 50, 35*h - 37*h + u + 30 = 0. Let f = -869 - -1474. Calculate the remainder when (-2)/(-3) - f/(-15) is divided by h.
13
Suppose 13*r - 14 = 6*r. Suppose -3*s + 0*w + 78 = -r*w, -130 = -5*s + 5*w. Let v(d) = -90*d. What is the remainder when v(-2) is divided by s?
24
Let c(y) = y**2 + 6*y + 6. Suppose 0 = -43*s + 39*s - 32. Calculate the remainder when s/12 + 227/3 is divided by c(-7).
10
Let c be 52/(-117) + 31/9. Suppose -c*v - 8 + 66 = h, -62 = -3*v - 5*h. Calculate the remainder when 303 is divided by v.
18
Let n = -2426 - -2474. Calculate the remainder when 539 is divided by n.
11
Suppose 32*h + 7*h - 20634 = 20*h. Calculate the remainder when h is divided by 25.
11
Suppose 2*s = 8*s - 30. Let q(g) = g**2 + 5*g + 22. Let u be q(0). Suppose 0 = -t + s*p + u, 5 = -2*t - 2*p + 1. What is the remainder when 10 is divided by t?
0
Let n = -68 - -61. Let d(q) = -3*q - 10. Calculate the remainder when 229 is divided by d(n).
9
Suppose -10*b + 99 = h - 12*b, -h = -3*b - 95. Calculate the remainder when 109 is divided by h.
2
Suppose 4*t = 4*w + 620, -w = -5*t + 823 - 60. Calculate the remainder when t is divided by 35.
12
Let t = 2712 + -2703. What is the remainder when 3931 is divided by t?
7
Let c(a) = -615*a**3 + 3*a**2 - 17*a - 40. Calculate the remainder when c(-2) is divided by 56.
54
Calculate the remainder when 15501 is divided by 2278/20 - 83/(-830).
111
Let d(s) = 29*s + 2104. Calculate the remainder when 240 is divided by d(-71).
15
Let l = 66 + 556. Calculate the remainder when l is divided by 79.
69
Suppose 0 = -6*i + 10*i - 12. Let a(y) = 2*y**2 - 9 - 17*y + 3*y**2 + y**i + 15*y + 0*y**3. What is the remainder when 24 is divided by a(-4)?
9
Let q = -47541 - -49513. What is the remainder when q is divided by 46?
40
Let j be (-24)/4*2 + 4/2. Calculate the remainder when 10/(-15)*495/j is divided by 18.
15
Let p(i) = i**3 + 38*i**2 + 36*i - 32. Let l be p(-37). Suppose -l*m + 155 = 5*v, -m - 2*m + 5*v = -69. What is the remainder when 334 is divided by m?
26
Suppose 27*o + 8782 = 9430. What is the remainder when o is divided by ((-15)/(-6))/(1/6)?
9
What is the remainder when 5*3/4*(11 - (-5391)/135) is divided by 168?
23
Let r = 518 - 507. Let t(b) = 2*b + 28. Calculate the remainder when t(6) is divided by r.
7
Let q = -65 + 29. Let v = -71 - q. Let z = 24 - v. Calculate the remainder when z is divided by 15.
14
Let l be 9/(-63) - 183/(-7). Suppose -3*h + l + 61 = 0. Suppose -v = 2*i - 25, 2*v - 62 = -5*i - 1. Calculate the remainder when h is divided by i.
7
Suppose s - 536 = 3*i, -6*i - 1580 = -3*s - 4*i. Calculate the remainder when s is divided by 24.
20
Suppose -313 + 903 = 10*y. 