Let h = -5 + 7. Suppose a + 2 = h*w, w + 3*a - 8 = -0*w. What is the remainder when 51 is divided by ((-52)/(-20))/(w/10)?
12
Suppose -14*h + 81 = -143. What is the remainder when 207 is divided by h?
15
Suppose -4*o + 2*c + 842 = -360, -4*c = -5*o + 1504. What is the remainder when o is divided by 104?
92
Suppose -5*o - 5 = 10, -3*o - 19 = -2*x. Let v = -14 - -15. What is the remainder when 19 + (-1)/(v + 0) is divided by x?
3
Suppose d - 2 = -1. Let f(c) be the second derivative of 13*c**5/20 + c**3/6 - c**2/2 - 10*c. What is the remainder when 51 is divided by f(d)?
12
Suppose -12 = -0*w - w. Calculate the remainder when (13 - 4)*((-42)/(-18))/1 is divided by w.
9
Let v(i) = -2*i**3 - 17*i**2 + 3*i - 20. What is the remainder when 373 is divided by v(-9)?
33
Let s(c) = -c + 3. Let f be s(0). Let a be 7/f - (-2)/(-6). Suppose -d + 2*o = -0*o - 45, a*d - 63 = -5*o. Calculate the remainder when d is divided by 20.
19
Suppose 5*y + 107 = a, 5*y + 610 - 75 = 5*a. Suppose 0 = -3*j, -45 + 63 = o + 3*j. What is the remainder when a is divided by o?
17
Let y be ((-718)/(-7))/2 + 2/(-7). Let z = y + -33. Calculate the remainder when z is divided by 7.
4
Let q = 21 + -22. Let t(o) = 7*o**2 + o + 1. What is the remainder when 11 is divided by t(q)?
4
Let w(a) = a**3 + 8*a**2 + 4*a - 12. Let q(i) = i**2 - 4*i - 7. Let m be q(4). Calculate the remainder when 30 is divided by w(m).
3
Suppose -366 = -5*y + 84. Suppose 2*u + 3*x = 32, u + 5*x - y = -4*u. Calculate the remainder when 1*((3 - 3) + u) is divided by 8.
6
Let i(w) = -2*w. Let f be i(8). Calculate the remainder when (-16)/f - 60/(1*-2) is divided by 6/(-9)*33/(-2).
9
Suppose 7*a - 19 = 2. Suppose 0 = a*g - 25 - 32. What is the remainder when g is divided by 7?
5
Let q(j) = 3*j - 1. Let b = 105 - 103. Suppose n = -2*h + 4, n - 4*h - 4 = -b*h. Calculate the remainder when n is divided by q(1).
0
Let i be 1 - 178/(-4) - 48/32. Suppose -i = -3*q + 7. Calculate the remainder when 46 is divided by q.
12
Let b be 92/(-24) - (-1)/(-6). Let v(k) = -k**2 - 3*k + 9. Calculate the remainder when v(b) is divided by 2.
1
Let m = 35 + 7. What is the remainder when m is divided by 5?
2
Let r = -8 - -10. Suppose -6*s = -2*s - 3*t - 21, 15 = 3*s - r*t. Suppose 23 = s*n - 5*c, -4*n + c = -9 - 16. Calculate the remainder when 28 is divided by n.
4
Suppose -30 = -2*c - 5*k + 21, 4*c + 2*k = 62. Suppose 0 = -3*h + 16 - 4. Suppose 8*r = h*r + 196. Calculate the remainder when r is divided by c.
10
Suppose 4*d - 10 = -2, 3*d - 2 = -4*v. Let g be ((-20)/2 - v) + 0. Calculate the remainder when 29 is divided by -12*3/g*2.
5
What is the remainder when 33 is divided by (-2 + -10)/((-18)/24*1)?
1
Calculate the remainder when ((-91)/7 + 10)*-58 is divided by 59.
56
Let f = -20 + 74. What is the remainder when 320 is divided by f?
50
Let y be 8*4/((-48)/(-9)). Suppose -a - a + 31 = l, 4*l + y = 2*a. Suppose -a*h + 8*h + 60 = 0. Calculate the remainder when 35 is divided by h.
11
Suppose 18*q - 391 = 59. What is the remainder when 70 is divided by q?
20
Suppose -64*w + 80*w - 112 = 0. What is the remainder when 14 is divided by w?
0
Let m(v) = -v**2 - 6*v + 4. Let n be m(-6). Suppose c = n*c. Suppose c*k = -2*k + 98. Calculate the remainder when k is divided by 13.
10
Let h(f) = 15*f**2 + 2*f + 5. Let m(l) = -l**2 + 3*l - 4. Let a be m(2). Let q = 24 + -3. What is the remainder when h(a) is divided by q?
19
Calculate the remainder when 1683/15 - 23/115 is divided by 58/(-1)*(-5)/10.
25
Let h = -20 + 22. Suppose h*b + 2*g - 22 = 3*g, -5*b + 4*g = -58. What is the remainder when 39 is divided by b?
9
Suppose -7*p + 5*p = -172. What is the remainder when p is divided by 15?
11
Suppose -3*g + 330 = -6*g. Let k = g + 167. What is the remainder when k is divided by 12?
9
Suppose 0 = 8*z - 310 - 130. Suppose -5*d + 151 = -0*d - 2*b, -5*d = 2*b - 159. Calculate the remainder when z is divided by d.
24
Let h be (1*10)/((-1)/9). Let j = -34 - h. Let i(p) = -13*p**2 + 316*p - 77. Calculate the remainder when j is divided by i(24).
18
Let i = -282 + 383. Calculate the remainder when i is divided by 21.
17
Suppose 13*s = -41*s + 17118. Calculate the remainder when s is divided by 10.
7
Suppose 5*b - 21 = -2*b. Suppose -b*r + r = 0. Suppose -4*k = 3*g + 2 - 17, 4*g - 2*k - 20 = r. What is the remainder when 17 is divided by g?
2
Suppose 170 = l - 10. Calculate the remainder when l is divided by (-2518)/21403 - 196*(-8)/34.
42
Suppose -34*s = -7896 - 10022. What is the remainder when s is divided by 59?
55
Suppose 7*z - 7 = 7. Suppose 0*v = 5*v - 2*m - 55, -z*m = 0. What is the remainder when 17 is divided by v?
6
Let f = -79 + 143. Let h = -12 + f. Calculate the remainder when h is divided by 18.
16
Suppose -4*i = 4*s - 91 + 23, -2 = -i + 2*s. Calculate the remainder when 45 is divided by i.
9
Let f be (-26)/91 + (-37)/(-7). Calculate the remainder when (-70)/f*-4 + 5 is divided by 19.
4
Suppose 13 = -3*r - 5*u, 0 = 2*r - r - 5*u - 29. Let b be -4*((-165)/(-6) + r). Let m = -44 - b. What is the remainder when m is divided by 17?
14
Let n = 80 + -53. Suppose 3*g = -2*o - 23, -7*g + 2*g + 5*o = 55. Calculate the remainder when 9 is divided by n/6 - g/(-6).
0
Let f(i) = -2*i**2 - 16*i + 6. Suppose 0*g - 130 = -2*g + 5*h, 0 = -g + 5*h + 70. Suppose n + 22 = g. What is the remainder when n is divided by f(-7)?
18
Calculate the remainder when 790/(-4)*(-8 - (-252)/45) is divided by 32.
26
What is the remainder when (-2)/5 + 262/5 is divided by 6/12*(1 + (34 - -1))?
16
What is the remainder when ((-12)/(-9))/((-40)/(-150)) is divided by (5 - 0) + 0/(-1)?
0
Suppose 19*v - 78 = 378. Calculate the remainder when 96 is divided by v.
0
Let t = -151 - -437. What is the remainder when t is divided by 73?
67
Let j = 105 + -52. Calculate the remainder when j is divided by 30.
23
Suppose 0*l = -6*l + 42. Suppose -l - 3 = 5*y. Let a = 27 + y. What is the remainder when a is divided by 9?
7
Let w be ((-3)/12)/(1/(-8)). Suppose -w*d - 88 = -6*d. Let u(h) = h**2 + 3*h - 6. Calculate the remainder when d is divided by u(-6).
10
Let i(l) = -6*l - 31. Calculate the remainder when 490 is divided by i(-10).
26
Suppose -272 = -4*t - 4*n, -2*n + 50 = -5*t + 390. Calculate the remainder when 543 is divided by t.
67
Let f(u) = 2*u + 108. What is the remainder when 909 is divided by f(-16)?
73
Suppose 17 = 3*i + 3*x - 16, -2*i + 4 = -4*x. What is the remainder when 318 is divided by i?
6
Let d = -17 + 23. Let i(x) = 2*x - 6. Let w be i(8). Suppose w*b - d*b = 20. Calculate the remainder when 13 is divided by b.
3
Let v(o) = -4*o - 56. Let q be v(-13). What is the remainder when 152 is divided by 32/24*(-66)/q?
20
Let f be -2 + 6*4/6. Suppose 0 = 2*d + f*n + 4, -2*d - n - 6 = -0. Calculate the remainder when 5 is divided by d*(-3 - 9/(-4)).
2
Suppose 0 = -2*x + 15 + 25. What is the remainder when 65 is divided by x?
5
Suppose 0 = -3*k + 84 - 6. What is the remainder when k is divided by 8?
2
Let x be 16/(-8)*(-3)/2. Suppose 2*f + x*l = 5*l + 266, -l = -5*f + 669. Let i = -73 + f. What is the remainder when i is divided by 16?
13
Suppose -15*z + 11100 = 59*z. Calculate the remainder when z is divided by 9.
6
Suppose -21*v = -51 - 231 + 72. Calculate the remainder when v is divided by 5 - (-3)/((-9)/(-6)).
3
Let f(w) = 2*w**3 - 9*w**2 - 30*w - 5. Let b be f(7). Suppose -28*o - 24 = -b*o. Calculate the remainder when 2/(-1*2/(-23)) is divided by o.
11
Suppose -30*v + 73 = -29*v + 2*o, 2*v - 3*o = 146. What is the remainder when v is divided by 37?
36
Let k be ((-90)/27)/(1/3). Let y = k + 4. Let s = 7 - y. What is the remainder when 38 is divided by s?
12
What is the remainder when 101 is divided by ((-42)/(-6) + -6)*51?
50
Suppose 0 = -13*p - 12*p + 225. Calculate the remainder when p is divided by 6.
3
Suppose 74 = 5*a + 19. Let p = 0 + a. Suppose p - 38 = -3*c. Calculate the remainder when 17 is divided by c.
8
Let j(x) = -7*x - 4. Let i be j(8). Let h be ((-2)/4)/((-6)/i). What is the remainder when 0 + 2 + (-55)/h is divided by 3?
1
Suppose -4*d + 331 = 3*g, -g + 337 = -2*d + 6*d. Suppose 6*y = 181 + 83. Calculate the remainder when d is divided by y.
41
Let b be (23 - -1)*-1*(11 + -12). Let u = -21 + b. What is the remainder when 12 is divided by u?
0
Suppose -21*g