1
Suppose -12 = -40*u + 36*u. Suppose w = u*j - 169, -w = -2 - 3. What is the remainder when j is divided by 31?
27
Let y(r) = -22*r - 54. Calculate the remainder when y(-18) is divided by 23.
20
Let w(u) = -5*u**3 - 11*u**2 + 17*u + 3. Let o(f) = -3*f**3 - 7*f**2 + 11*f + 2. Let h(n) = 8*o(n) - 5*w(n). Calculate the remainder when 52 is divided by h(2).
8
Let g be (-192)/33 + (-6)/33. Let t(y) = 2*y**2 + y + 2. Calculate the remainder when t(2) is divided by g*1/2 + 8.
2
Suppose 5*a + 54 = 6*a. Let r be (0 - -2 - 2) + 57. Suppose h - r = -2*h. Calculate the remainder when a is divided by h.
16
Let w = -1970 + 1979. What is the remainder when ((-9)/(-3))/((-2)/(-6)) is divided by w?
0
Let h = 162 - 94. What is the remainder when 135 is divided by h?
67
Suppose t + 5 = 2. Suppose -1 + 16 = 3*g. Let p = g + t. Calculate the remainder when 5 is divided by p.
1
Suppose -4*z + s - 20 = 0, 0 = 3*z - 0*z - 5*s + 15. Let j be (-1 + -35 + 0)*76/(-114). Let v = j + z. Calculate the remainder when 35 is divided by v.
16
Let s(w) = -13*w + 185. Calculate the remainder when 111 is divided by s(13).
15
Suppose -4*g + 7*g = 180. What is the remainder when g is divided by 21?
18
Suppose -o = -5*t + 9*t - 84, -3*t = -o + 112. Calculate the remainder when 313 is divided by o.
13
Calculate the remainder when 446 is divided by -3 + 2 - (-99 + 7).
82
Let y(c) = 14*c**3 + 15 + c**2 - 4*c + 0*c - 13. Calculate the remainder when 77 is divided by y(1).
12
Let i(g) = 2*g**2 + 3 + g + g**3 - g**2 + 4. What is the remainder when -26*-2*(-4)/(-16) is divided by i(0)?
6
Let a be ((-16)/6)/(4/(-6)). Suppose -3*f - 5*k + 103 = -f, 0 = -4*f - a*k + 188. Calculate the remainder when f is divided by 9.
8
Suppose 5*c - a = 8*c - 242, -4*c = 5*a - 341. Suppose -30 = -h - 5. Let k = 45 - h. Calculate the remainder when c is divided by k.
19
Suppose -2*c = -3*b - 95, -5*b - 3 = -8. Let z = 65 - c. What is the remainder when 47 is divided by z?
15
Let f(g) = 9*g - 4. Let k(d) = 2*d**2 + 32*d - 164. What is the remainder when k(7) is divided by f(4)?
30
Suppose -5*p = 4*p + 279. Let k = p - -27. What is the remainder when (-998)/(-10) + k/(-20) is divided by 26?
22
Let f(d) = 37 - 24 + d + 2. Let k be 13*2*1/(-2). What is the remainder when f(k) is divided by 2?
0
Let i = 474 - 426. Calculate the remainder when i is divided by 3.
0
Suppose -100*k + 96*k = 12. Calculate the remainder when 122 is divided by (-4 - 10/k) + (-231)/(-9).
22
Let w = 2206 + -2190. Calculate the remainder when 327 is divided by w.
7
Calculate the remainder when -41*(1/(-2))/((-15)/(-30)) is divided by 7.
6
What is the remainder when 372/3*(-2)/(-4) is divided by 17?
11
Let z(b) = -b**3 + 15*b**2 - 13*b. Let h = 81 + -13. What is the remainder when h is divided by z(14)?
12
Let v = 151 - 108. Suppose 0 = 3*k - n - 70 + 8, 0 = -2*n + 8. Calculate the remainder when v is divided by k.
21
Let v = 36 - -7. Let m = 103 - -66. Calculate the remainder when m is divided by v.
40
Let z be (13/(-3) + -1)*-3. Let i(s) = s**3 - 17*s**2 + 17*s - 3. Calculate the remainder when i(z) is divided by 6.
1
Suppose v = 3*v - 116. Suppose 4*k - v = 5*f, 19 = -3*f + 4*k - 11. Calculate the remainder when f/49 - 261/(-7) is divided by 13.
11
Let k be (52/7 + -2)*7/1. Let o(u) = -u - 5. Let h be o(-8). Suppose h*w - k = w. Calculate the remainder when w is divided by 5.
4
Suppose -34 = -0*p - 2*p + 3*s, 0 = -2*p - 4*s + 20. Let j(y) = 3 + 2*y**2 - 10 - 4*y - 1. What is the remainder when j(6) is divided by p?
12
Let w = 18 - 12. Let f be (12/8)/((-2)/4). Let b(x) = -2*x - 2. What is the remainder when w is divided by b(f)?
2
Let j = -2232 + 2309. What is the remainder when j is divided by (0 - -1)/(1/16)?
13
Let b(w) = 3*w**2 + 6*w - 9*w**2 + 1 - 3*w**3 + 11*w**3 - 6*w**3. What is the remainder when 6 is divided by b(2)?
1
Let j(l) = l + 1. Let y(p) = 4*p + 8. Let a(f) = 3*f + 3. Let v be a(-3). Let u(i) = v*j(i) + 2*y(i). What is the remainder when 26 is divided by u(0)?
6
Let m = 151 - 98. What is the remainder when m is divided by ((-8)/2 - -5)*0 - -27?
26
Let m(w) = w**2 + 6*w + 3. Let f be m(-6). Suppose -f*k + x = -56, -4*k = 4*x - 54 + 6. What is the remainder when (-504)/(-10) - 4/10 is divided by k?
16
Let a be (-57)/((-44)/8 + 4). Suppose -4*d + a = -3*d. Calculate the remainder when d is divided by 8.
6
Suppose -3*n + 76 = -194. Suppose -3*m + n = 2*m. Let k = 161 + -93. Calculate the remainder when k is divided by m.
14
Calculate the remainder when 25597/187 + -5 + (-2)/(-17) is divided by 26.
2
Suppose 2*j = -8*j + 20. Let x(g) = 142*g + 2. Let r be x(4). Suppose 2*i - 237 = 5*d, 5*i - r = 7*d - j*d. What is the remainder when i is divided by 28?
27
Let m(y) = 3*y**3 - y**2 - 3*y - 1. Let a = -13 - -21. Let n be 5 + a/(-4) + 0. What is the remainder when m(n) is divided by 9?
8
Suppose 4*y - z - 2*z + 9 = 0, -3*y + 2*z - 6 = 0. Let x = 20 + y. Calculate the remainder when x is divided by 11.
9
Let j = -2 - -3. Let l = 6 - 4. Calculate the remainder when 45/60*(32/6)/l is divided by j.
0
Suppose 0 = -4*f - 39 - 13. Let t = 15 + f. Suppose -5*x - 6 = -t*x, 20 = 2*c - 4*x. Calculate the remainder when 15 is divided by c.
3
Suppose -10 = -5*w - 0*w. What is the remainder when (-52)/5*(w + -7) is divided by 11?
8
What is the remainder when 39 is divided by 4/26*40 - 36/234?
3
Let v(b) = b + 1. Let t = -66 - -96. What is the remainder when t is divided by v(7)?
6
Calculate the remainder when ((-1310)/20*4)/(-1) is divided by 66.
64
Let y(z) = -6*z + 53. Let p = 57 - 75. What is the remainder when y(p) is divided by 27?
26
Suppose k = t + 32, 13*k = 9*k + 3*t + 128. What is the remainder when 75 is divided by k?
11
What is the remainder when 144 is divided by 262/12 - (-5 - 29/(-6))?
12
Let z be -6*(-1)/(-6)*10. Let l(v) = -4*v - 27. What is the remainder when 38 is divided by l(z)?
12
Suppose q - 10 = -4*y, -4*y - 34 = 2*q - 58. Calculate the remainder when 180 is divided by q.
12
Suppose 3*k - 6*k + 60 = 0. Let d = 442 - 435. What is the remainder when k is divided by d?
6
Suppose -42*f = -45*f + 24. Calculate the remainder when 422 is divided by f.
6
Calculate the remainder when 56 is divided by 3 + 1 + 1*(4 + -5).
2
Let n(y) = 33*y - 456. Calculate the remainder when 298 is divided by n(14).
4
Suppose -5*f = -4*r + 3*r + 46, 0 = 4*r - 2*f - 130. What is the remainder when 146 is divided by r?
22
Suppose 5*g - 7 = o, 3*g - 48 = -4*o - 7. What is the remainder when o is divided by (19/(-6) - 47/(-282)) + 7?
0
Let x(h) = -h**2 - 4*h. Let g be x(-5). Suppose 0 = -3*o + 4*w + 50, -18 = -o - 0*o + 2*w. What is the remainder when 208/5 - (-3)/g is divided by o?
13
Calculate the remainder when (-14)/21 + (-4614)/(-9) is divided by 27.
26
Suppose 2*r + 8 = 0, -8*i - r = -5*i - 2. Suppose i*o + 5 = o, -3*v - 4*o + 37 = 0. Calculate the remainder when 37 is divided by v.
18
Let o(z) = -3*z - 9. Let w be o(14). Let m = -25 - w. Calculate the remainder when 77 is divided by m.
25
What is the remainder when 756 is divided by (-4275)/(-18)*12/30?
91
What is the remainder when (4 - 97)*(-2 - 1) - 7 is divided by 48?
32
Let u be 319/77 - 2/14. Suppose u*d = -3*d + 84. What is the remainder when 67 is divided by d?
7
Suppose 2349 = 3*f + 843. What is the remainder when f is divided by 72?
70
Suppose 4275 = 32*o - 5741. Calculate the remainder when o is divided by 63.
61
Let l = 153 - 107. Calculate the remainder when 133 is divided by l.
41
Suppose 0 = -5*w - 6 + 1. Suppose -58*c = -57*c - 4. What is the remainder when 14 is divided by 40/(-2)*w/c?
4
Let l = -87 - -116. Suppose -l*g + 18 = -26*g. Let v(f) = -f + 2. Calculate the remainder when g is divided by v(-2).
2
Let p(d) = -d**3 + 14*d**2 - 20*d - 18. Calculate the remainder when 58 is divided by p(12).
28
Suppose 3*o = -2*l - 7, -9 = 2*l + 1. Let u = 6 - o. Let z = u - -16. What is the remainder when z is divided by 12?
9
Let i(v) = 4*v**2 + 6*v - 23. What is the remainder when i(-4) is divided by 8?
1
Let d = 37 - 36. Let y(l) = 59*l**2 - 2*l. What is the remainder when y(d) is divided by 29?
28
Let a = 18 + -59. Let d = 43 - a. What is the remainder when d is divided by 43?
41
Let u be (-12)/7 + (-4)/14. Let x(y) be the first derivative of -19*y**2/2 + y - 9. What is the remai