p - a = -7*p. What is the remainder when 53 is divided by ((-8)/(-3))/((-2)/p)?
25
Calculate the remainder when 1099 - ((-75)/(-12) - 8/32) is divided by 100.
93
Suppose 19*r + 6*r = 1105 + 220. Calculate the remainder when 394 is divided by r.
23
Suppose -4*y = -5*q - 7*y + 190, -3*y = -q + 38. Suppose q = -68*t + 70*t. What is the remainder when 72 is divided by t?
15
Calculate the remainder when (-15)/(-6)*582/5 is divided by 101.
89
Let k(v) = -v**3 - 11*v**2 - 10*v - 1. Let f be k(-7). Suppose -28*y + 3807 = -75*y. Let z = y - f. Calculate the remainder when z is divided by 12.
10
Suppose -69*u = -64*u - 10. Let t be (-10 - 2)*u/(-8). Let o(c) = 8*c**2 - c + 5. Calculate the remainder when o(t) is divided by 26.
22
Suppose 10*p = 8*p - 5*a + 159, 369 = 5*p + 3*a. Suppose p = 79*g - 75*g. Calculate the remainder when 1366 is divided by g.
16
Let k(d) = 42*d**2. Let r be k(2). Let v be 7*(-50)/(-70)*18. What is the remainder when (v/(-40))/((-9)/r) is divided by 11?
9
Let j(i) = 3*i**2 + 36*i - 139. Let a be j(6). Let u = a - 175. Calculate the remainder when 16 is divided by u.
6
Let m = 74 + -58. Suppose 2*f + 3*i + m = 0, 3*f - 2*i - 6 = i. What is the remainder when 47 is divided by 9 + f + (-3)/((-3)/1)?
7
Suppose -4*x + 5*q + 105 = 0, -17*q + 18*q = -3*x + 74. Calculate the remainder when 235 is divided by x.
10
Let d = 2821 - -1500. What is the remainder when d is divided by 25?
21
Let l(b) = -3*b**3 + b**2 + 3*b - 6. Let y(p) = 2*p**3 - p + 1. Let j(c) = -l(c) - 4*y(c). What is the remainder when 143 is divided by j(-2)?
35
Calculate the remainder when (1973 - 1972)*1/(2/4526) is divided by 87.
1
Let q(t) = -t**3 + 19*t**2 - 63*t + 27. Let o be q(15). Suppose 0 = 4*y + y - 55. What is the remainder when (o - -9)*(-82)/18 is divided by y?
8
Suppose 0 = 562*t - 5532 - 4584. Suppose o - 292 + 44 = 0. Calculate the remainder when o is divided by t.
14
Suppose -2*j + 8 = 0, 2*s + s - j = 8. Suppose 0 = 4*a - m + 7, 0*a + 11 = 3*a - s*m. Calculate the remainder when (((-81)/(-6))/a)/((-1)/30) is divided by 34.
33
Suppose 7 + 2 = 3*i. Suppose -i*k - 2*k = -80. Let c = 0 + k. Calculate the remainder when 30 is divided by c.
14
Let w be (-3 - -1)/(2/27). Let d = -8 - w. Calculate the remainder when d is divided by 68/12 + (-18)/27.
4
Suppose 0 = -3*h - i - 37, h - 4*h - 57 = -3*i. Let f = h + 19. Suppose -7*u = f*u - 504. What is the remainder when u is divided by 15?
12
Suppose -116*m - 115*m = -4453 - 1091. Calculate the remainder when 1031 is divided by m.
23
Let s = -75 - -71. Let k(b) = b**3 + 4*b**2 - 6*b - 20. Calculate the remainder when 9 is divided by k(s).
1
Let j be 2 - (2 - -206)/(-4). Suppose -5*k - 6 - j = 0. What is the remainder when k/4 - (-1 - (-1 + 24)) is divided by 12?
9
Let r = 80 - 2. Calculate the remainder when r is divided by 72.
6
Suppose 5*x = -4*s + 13000, 0 = -5*s + 1193*x - 1197*x + 16259. Calculate the remainder when s is divided by 74.
73
Suppose -y - y = 3*k - 1754, 0 = y - 1. Calculate the remainder when k is divided by 21.
17
Let o = 14762 + -12245. Calculate the remainder when 2521 is divided by o.
4
Suppose -167*z - 37380 = -523*z. Calculate the remainder when 163 is divided by z.
58
Let o be ((3 - 3) + -1)*(-1 - 3). Suppose -3*m - o*j - 10 + 192 = 0, m - 58 = -4*j. What is the remainder when m is divided by 4?
2
Suppose -49*d - 4*j = -44*d - 531, -3*j + 12 = 0. Let t = -87 + d. Calculate the remainder when t is divided by 6.
4
Let u(l) = l**3 + l + 5. Suppose r + 9 = 3*a, 4*r + 2*a = 8 - 2. Calculate the remainder when (5 - 2/6)*(105/14 + -6) is divided by u(r).
2
Suppose 35605 + 16491 = 40*x + 136*x. Calculate the remainder when x is divided by 19.
11
Suppose -278 - 7 = -5*p. Suppose p - 229 = -3*w + 4*r, 0 = 4*w + 4*r - 192. What is the remainder when 103 is divided by w?
51
Suppose 4*x - 3 + 11 = 0, -3*g = -3*x - 1083. Suppose -8*h + g - 311 = 0. Calculate the remainder when 29 is divided by h.
5
Let j be (-3)/(-4) - 15/(-12). Suppose -2*o + 201 = -j*u + 69, 135 = -2*u + o. Let f = u + 99. What is the remainder when f is divided by 12?
6
Let n = -19581 - -19618. What is the remainder when 450 is divided by n?
6
Suppose -4*v = -5*i - 11456 + 3763, 4*i + 7692 = 4*v. What is the remainder when v is divided by 41?
36
Let m(k) = -4*k + 135. Let v be m(33). Suppose -v*g + 496 = -2. What is the remainder when g is divided by 28?
26
Suppose -3*d + 161 = -3*s - 2929, 24 = -4*s. Calculate the remainder when d is divided by 337.
13
Let r(b) = -19*b**3 + 13*b**2 + 4*b - 9. Let p be r(4). Let g = -743 - p. What is the remainder when g is divided by 44?
38
Suppose -4*u = -2332 + 632. Calculate the remainder when (2380/u)/(((-2)/15)/(-2)) is divided by 17.
16
Suppose -2*r = -3*r + 28. Suppose 3*m - r = -7. Let h = 237 + -234. Calculate the remainder when m is divided by h.
1
Let m(v) = -50*v**3 + v**2 + v + 3. Let b be m(-2). Suppose b = 67*w - 62*w. Calculate the remainder when 400 is divided by w.
76
Let u = -46 + 33. Suppose -13*q = 923 + 273. Let f = u - q. What is the remainder when f is divided by 28?
23
Let b(p) = -3*p**3 + 232*p**2 + 174*p + 48. What is the remainder when b(78) is divided by 56?
52
Let h = -116 - -168. Suppose -2*l = r - h, -4*r + 87 + 1 = 3*l. Suppose -23 = -c + l. Calculate the remainder when 93 is divided by c.
46
Let y be 2/3 + (-532)/(-3). Let i = y + -87. Suppose 3*q - 147 = 2*w - 0*w, -i = -2*q - w. What is the remainder when q is divided by 10?
7
Let h(q) = 2*q**2 + 19*q + 246. What is the remainder when h(-13) is divided by 20?
17
Let x = -369 + 1167. Suppose 6*s = 25*s - x. What is the remainder when s is divided by 6?
0
Suppose h - 311 = -5*p, 2*p + 3*h - 72 = 55. Let w be 7/(-4) + (-5)/20. What is the remainder when p is divided by ((-2)/3)/(w/63)?
20
Let b = -84 + 133. Let h(y) = y + 26. Let x(a) = 2*a**3 + 2*a**2 - 6*a + 2. Let k be x(-3). What is the remainder when b is divided by h(k)?
9
Suppose 3*t + 9*t - 2784 = 0. Suppose 0 = -r + 5*j + 19, -r + 2*j + 25 + 6 = 0. Calculate the remainder when t is divided by r.
37
Suppose 52*t = 53*t - 150. Suppose 8*r = 14*r - t. Suppose -9*j - r = -14*j. Calculate the remainder when j is divided by 4.
1
Let p(a) = 15*a**2 - 114*a - 231. What is the remainder when 1536 is divided by p(-2)?
54
Suppose -x + 0*x = 0. Suppose x*n = 3*n - 180. Calculate the remainder when (-1485)/n*(-16)/6 is divided by 10.
6
Let h = -6883 - -7972. Calculate the remainder when h is divided by 26.
23
Let j = -11 + 26. Let b be (-99)/(-21) + (6/21)/1. Suppose -196 - 39 = -5*d - b*s, 2*d = 3*s + 69. What is the remainder when d is divided by j?
12
Suppose -2*n = 3*n - 10. Let d(h) = 81 - 235 + 75 + 11*h + 79. What is the remainder when 108 is divided by d(n)?
20
Suppose -4*j - 385 = -15*j. Suppose -c + 0*c = -4. Calculate the remainder when (j/(-10) + 1)/((-35)/112) is divided by c.
0
Let j(g) = -6*g**3 - 2*g**2 + g. Let p be j(1). Let m(f) = -14*f + 7. Calculate the remainder when m(p) is divided by 137/5 + (-32)/80.
24
Let p = -2 - 83. Let b = p + 150. What is the remainder when 26/b + 2/10*493 is divided by 20?
19
Suppose -97*n = -11617 - 1769. What is the remainder when n is divided by 28?
26
Let u(d) = 6*d**2 - 179*d + 717. Calculate the remainder when u(4) is divided by (22/3)/(2/3).
9
Let x be 24/1*11/33. Suppose -2*w + 26 = 3*l, -2*l - 3*w = -4*w - x. Suppose l*j = 35 + 85. Calculate the remainder when 56 is divided by j.
16
Let v(j) = j**3 - 3*j**2 - 4*j + 2. Let w be v(4). Let c(o) = 3*o**3 - 2*o**2 + 4*o - 3. What is the remainder when (58 - -689)*3*2/54 is divided by c(w)?
20
Let p = -292 - -305. Let m(w) = 5*w**3 + 4*w**2 - 7*w + 1. Calculate the remainder when m(3) is divided by p.
8
Calculate the remainder when 1266 is divided by 6/(-39) + 12720/208 + -14.
44
Suppose -2185*v + h = -2188*v + 428, 3*v = -2*h + 424. What is the remainder when v is divided by 82?
62
Let w be 409/5 - 12/15. Let b = w - 78. Suppose -b*o + 22 = 2*j, o + 2*o = -j + 8. What is the remainder when j is divided by 8?
6
Let c = -3111 - -3123. Let j = -44 + 167. What is the remainder when j is divided by c?
3
What is the remainder when 588 is divided by (4 - (-95)/(-25)) + 42315/175?
104
Suppose -4*m + 15 = m - 5*l, l + 7 = -3*m. Let f be (-2)/(-1 - m/3). Suppose -4*b = -f