he remainder when r is divided by 3.
1
Let q = 34 - -2. Suppose 5 - 1 = 4*r - 2*u, 2*r + 2*u - 14 = 0. Let z(x) = 15*x**2 - 3*x + 15. What is the remainder when z(r) is divided by q?
33
Suppose -14*l - 16 = -a - 18*l, -5*a + 3*l = -103. Suppose -85*i + 84*i + a = 0. What is the remainder when i is divided by (14/(-8))/(1/(-4))?
6
Suppose 4*c + 66 = h, 2*h + 0*c = 5*c + 129. Suppose 0*r = -5*z + 3*r - 71, 33 = -3*z - 3*r. Calculate the remainder when h is divided by z/(-2 + (3 - 2)).
10
Let k(l) = -6*l - 15. Suppose -68*o + 73*o + 25 = 0. What is the remainder when 35 is divided by k(o)?
5
Suppose w - 4*w = 0. Let x = w + 10. Calculate the remainder when 5 - 12/(-15)*(-1190)/(-28) is divided by x.
9
Suppose 5*u - u = 20. Let h = -3 + u. Suppose 0 = h*d - d - 4*z - 1, -5*d + 4*z = -85. Calculate the remainder when 39 is divided by d.
18
Let w = -10 + 15. Let h(c) = 2*c**2 + 2*c - 12. Calculate the remainder when 237 is divided by h(w).
45
Let v = 30 + -8. Let u = v + -7. Calculate the remainder when (-7)/7*((-3 - 57) + 3) is divided by u.
12
Suppose 2*p - 128 = -3*j, 384*p = 380*p - 2*j + 248. What is the remainder when p is divided by (33 - -1)*7/14?
10
Suppose 3*q = 6*o - o - 1370, 4*q + 822 = 3*o. What is the remainder when o is divided by 25?
24
Suppose 33*c - 4*c = 290. Suppose 15 = 3*s, -6*r + r + 3*s = -190. Calculate the remainder when r is divided by c.
1
Suppose 3*c + 2 = -5*f, -20 = -8*f + 6*f + 4*c. Calculate the remainder when 166 is divided by f.
0
Let a(j) = j + 2. Let c = 24 - 18. Suppose -2*w + 18 = -c. Calculate the remainder when 24 is divided by a(w).
10
Suppose -3*m - 4 = 3*h - 37, -4*h + 2*m + 14 = 0. Suppose h*v - 26 = 148. Calculate the remainder when v is divided by 8.
5
Suppose 9 = -2*m + 3*m. Calculate the remainder when 197 is divided by m.
8
Let u = -711 - -778. Calculate the remainder when 1942 is divided by u.
66
Let q be (2 - 1) + -9 + 4. Let l be (1 - -59)*(-3 - q). Suppose 6*x - x - l = 0. Calculate the remainder when 47 is divided by x.
11
Suppose -4*l = 3*h - 9, 0 = -19*h + 20*h - 3*l - 3. Calculate the remainder when 20 is divided by h.
2
Let o = 1525 + -1520. Let z(i) = 191*i**2 - 2*i - 1. Let f be z(-1). Suppose g - f = -o*g. What is the remainder when g is divided by 9?
5
Suppose 0 = m - 354 + 102. Suppose 0*q = 6*q - m. What is the remainder when q is divided by 11?
9
Let i(w) = -w**3 - 9*w**2 - 9*w + 10. Calculate the remainder when (-396)/21*56/(-12) is divided by i(-8).
16
Let r(g) = 11*g**2 + 4*g + 5. Let u be r(-2). Let j = u + -68. Calculate the remainder when 24/(-60) - j/5 is divided by 2.
1
Let m = 158 - 91. Calculate the remainder when m is divided by 34.
33
Let h = 211 + -140. What is the remainder when h is divided by 9?
8
Suppose g - 25 = s - 2, 2*g - s - 48 = 0. Let c = -22 - -28. What is the remainder when g is divided by c?
1
Suppose -2*s + 28 - 8 = 0. Suppose p = s*p - 162. What is the remainder when p is divided by 10?
8
Let q = 16 - 13. Suppose -3*u - u + 232 = -2*c, 4*u - 212 = -q*c. Calculate the remainder when u is divided by 12.
8
Let s be (-6)/21 - (-1107)/(-21). Let l = -45 - s. Calculate the remainder when 20 is divided by l.
4
Suppose 0 = q - 5*q + 100. Suppose -h + 24 = 17. Calculate the remainder when q is divided by h.
4
Let m = -6 - -15. Suppose 5*b + 15 = 0, -4*x + 2*b + 259 = 1. Let d = -39 + x. Calculate the remainder when d is divided by m.
6
Suppose 0 = -d + 132 - 101. What is the remainder when d is divided by 18?
13
Suppose -13*w = -12*w - 12. Let d = -4 + w. Calculate the remainder when d is divided by 4.
0
Suppose u = 9 + 13. Suppose u - 12 = w. Suppose -w*y - 130 = -15*y. Calculate the remainder when 101 is divided by y.
23
Suppose 7*l = 6*l + 1. Suppose l = 5*v - 24. Calculate the remainder when v is divided by 3.
2
Let q be 250/(-15)*54/(-4). Suppose -z - q = -10*z. Calculate the remainder when 121 is divided by z.
21
Let x(a) = a**3 - 5*a**2 + 23*a - 6. Let s(i) = -2*i**2 + 11*i. Let y be s(5). Calculate the remainder when x(y) is divided by 2/(-6) - (-112)/3.
35
Let v = 709 + -203. Calculate the remainder when v is divided by 51.
47
What is the remainder when 268 is divided by (3 + -6 + 4)/((-2)/(-18))?
7
Let d be (-42)/(-4)*(-5 - (-9)/3). Let b = -11 - d. Suppose -31 + 11 = -5*n. Calculate the remainder when b is divided by n.
2
Suppose 8*h - 9 - 31 = 0. Suppose 10*v - 11*v = -h. Calculate the remainder when 29 is divided by v.
4
Let b(o) = o**3 - 3*o**2 - 5*o + 5. Let t be b(4). Let c = t - -8. Let v = 45 - 31. What is the remainder when v is divided by c?
5
Let b(r) = -r**3 + r**2 - r - 6. Let o be b(6). Let v(x) = -3*x**3 - 1. Let j be v(-1). Calculate the remainder when j/((-4)/o*3) is divided by 17.
15
Let g = 115 - 78. Calculate the remainder when 102 is divided by g.
28
Let n = -50 + 72. Suppose -5*d = 3*s - n, -2*d - 2*s + 12 = -0*d. Suppose d*a = -4*a + 30. What is the remainder when 7 is divided by a?
2
Let w be (-26)/(-14) - 1/(-7). Calculate the remainder when (-174)/w*5/(-15) is divided by 4.
1
Suppose 0 = -2*k + 7*k + 340. Let c = -24 - k. Calculate the remainder when c is divided by 14.
2
Let o(p) = p**3. Let v(x) = -6*x**3 + 5*x**2 + 7*x + 2. Let i(r) = 5*o(r) + v(r). What is the remainder when 30 is divided by i(6)?
6
Suppose -4*k = -24*d + 21*d - 3386, 3*k + 5*d = 2525. Calculate the remainder when k is divided by 94.
93
Let t be ((-1)/1)/(2/(-122)). Let g = t + -33. Calculate the remainder when g is divided by 16.
12
Let b be ((-31)/(-3))/((-2)/(-6)). Let l = 48 - b. Suppose -5*w + 19 = -y, 55 = 3*y + 2*y + 5*w. What is the remainder when l is divided by y?
5
Suppose 0 = -i + 142 - 136. Calculate the remainder when 633 is divided by i.
3
Let x = -26 + 23. Let v(q) = -13*q - 9. Calculate the remainder when 88 is divided by v(x).
28
Let u = 27 - 27. Suppose -4 = -p - u. Calculate the remainder when 495/77 + p/7 is divided by 5.
2
Suppose 3*c - 72 = -4*z, -5*z - 9*c + 90 = -10*c. What is the remainder when 158 is divided by z?
14
Suppose 2*r = -2*y + r, -3*y = -r + 5. Let z(i) = 15*i**2 - 4*i - 5. Calculate the remainder when 38 is divided by z(y).
10
Let k be -6 + 1 + 0 - 3. Calculate the remainder when -1 - (-30 + (k - -4)) is divided by 12.
9
Let l(m) = -5*m + 1. Let y be l(-7). Suppose 3*j - y = 15. What is the remainder when j is divided by 10?
7
Let f(g) = 3*g**3 - g**2 - 10*g + 17. Calculate the remainder when f(5) is divided by 46.
41
Suppose -4*x = 6*z - 122, 7*z - 119 = -4*x + 4*z. Calculate the remainder when 40 is divided by x.
11
Let o(y) be the second derivative of y**5/20 + 2*y**4/3 - 2*y**3 - 17*y**2/2 - 3*y. What is the remainder when 25 is divided by o(-9)?
5
Let x = -68 - -81. Let d(s) = -s**3 - 5*s**2 + 9*s - 10. Calculate the remainder when d(-7) is divided by x.
12
Suppose 0 = -5*d + 30 - 5. Let t(l) = 5*l + 4. What is the remainder when t(d) is divided by (1980/75 - 17) + (-6)/(-10)?
9
Suppose -7 = 5*l + 3, 5*l = 3*r - 94. Calculate the remainder when r is divided by ((-1090)/(-763)*3/(-5))/(3/(-56)).
12
Let p(g) = g**2 - 9*g - 1. Let s be p(-4). Let j = 64 - s. Calculate the remainder when 34 is divided by j.
8
Suppose -3 = w + 2*m - 12, -2*w = 5*m - 17. Suppose 2*j + 62 = 4*j. What is the remainder when j is divided by w?
9
Suppose -4 = 26*r - 27*r. What is the remainder when 40 is divided by 3/2*r + 1?
5
What is the remainder when 82 is divided by 427/21 + (-12)/(-18)?
19
Suppose -14 = -2*n - 4. Let h(l) = 5*l - 53. Calculate the remainder when 122/n - 2/5 is divided by h(12).
3
What is the remainder when (-8)/(-10) + (-2)/((-10)/931) is divided by 47?
46
Let o(v) = 3*v**3 - v**2 - 4*v + 1227. What is the remainder when o(0) is divided by 77?
72
Suppose -t - t = -2*i + 52, 0 = -t - 2*i - 20. Let o = t - -75. What is the remainder when o is divided by 6/8 - 202/(-8)?
25
What is the remainder when 184 is divided by (54/(-24))/(0 + 3/(-60))?
4
Suppose -561*s = -567*s + 90. What is the remainder when 20 is divided by s?
5
Suppose 19*o - 20*o + 38 = 0. Calculate the remainder when 86 is divided by o.
10
Suppose g + g - 20 = 4*r, -3*r = -4*g + 30. Calculate the remainder when 11/((4 - 13/2)*16/(-40)) is divided by g.
5
Suppose -99 = 53*k - 56*k. Calculate the remainder when 60 is divided by k.
27
Calculate the remainder