 Let f be j(7). Suppose 0 = 42*n - 47 - f. Calculate the remainder when n is divided by 22.
21
Suppose -y = -2*y + 3. Suppose -8*j = -y*j - 50. Suppose 39604*b - 39608*b + 72 = 0. Calculate the remainder when b is divided by j.
8
Let i(h) be the first derivative of h**4/4 - 20*h**3/3 + 21*h**2/2 - 16*h + 78. Calculate the remainder when 197 is divided by i(19).
21
Let l(x) = 2*x**2 + 4*x + 8. Let y be l(-3). Let r(u) = u**2 - 10*u + 5. Let o = -16 - -32. What is the remainder when r(y) is divided by o?
13
Suppose 2*f = -4 - 12. Let v(m) = m**3 + 9*m**2 - 2*m - 5. Suppose 283 - 49 = 21*l - 102. What is the remainder when v(f) is divided by l?
11
Let m = 442 - 437. Suppose q - 2*z = 562, -m*q + 2*z - 2774 = -10*q. Calculate the remainder when q is divided by 62.
60
Let d be 20/(-55) + 14008/44. Let t = -236 + d. Calculate the remainder when 246 is divided by t.
0
Suppose -505*n = -513*n + 2384. What is the remainder when n is divided by ((-30)/12)/(3/(-60))?
48
Suppose -2*f = i + 16, -2*i + 4*f - 3*f = 12. Calculate the remainder when (-2 - 10/i) + (-475)/(-4) is divided by 15.
13
Let f(n) = -3*n - 54. Let t(c) = -c**2 + 6*c + 108. Let m(w) = -5*f(w) - 3*t(w). Calculate the remainder when m(-6) is divided by 25.
22
Suppose 0 = 73*f - 65*f - 2992. Let i = -270 + f. What is the remainder when i is divided by 55?
49
Suppose -147 - 13 = -4*z. Calculate the remainder when 159 + 6*(-40 + 49)*(-1)/(-27) is divided by z.
1
Let y = 45 + -40. Suppose 3 = -3*g, 2*d + 0*g = -y*g + 33. What is the remainder when (11/2)/((-66)/(-660)) is divided by d?
17
Let r(f) = 4*f - 5. Let d be r(2). Suppose 8 = -2*n, -6*n + 2*n + 62 = d*o. What is the remainder when 388 is divided by o?
24
Suppose 110 = 3*b - 784. Suppose -304*x + 1230 = -b*x. What is the remainder when x is divided by 16?
13
Suppose 2*m = 6*m + 16, -4*z - 2*m = -92. Let l = 120 - z. Calculate the remainder when l is divided by 8.
7
Suppose -t - 3 = 0, 0 = -5*k - t - 3*t + 253. What is the remainder when 631 is divided by k?
48
Suppose -4*k - 2*y = -0*y - 72, -2*k + 36 = -2*y. Calculate the remainder when (k/15)/(-3) - 6831/(-165) is divided by 23.
18
Let p(b) = -20*b + 438. Calculate the remainder when 81 is divided by p(18).
3
Suppose 93 - 323 = -10*o. Suppose -3*k + 6*k = p + 39, -3*p - 9 = 0. Calculate the remainder when o is divided by k.
11
Suppose 11199 = -25*x + 13674. Calculate the remainder when x is divided by 42.
15
Let s = 63 - -16. Suppose -s = -2*x - 15. Let w = x + -20. What is the remainder when w is divided by 7?
5
Let h be (77/7 - 7)*2. Suppose h*g - 1018 - 1262 = 0. Calculate the remainder when g is divided by 22.
21
Let r = 74 + -147. Let s = -25 - r. Suppose c = -c + s. What is the remainder when 117 is divided by c?
21
Let l = 516 - 278. Suppose 0 = s - 8*s + l. What is the remainder when s is divided by 14/(-2)*(-5 + 4)?
6
Suppose 8*i - 48 = -8*i. Let y be 1973/5 - i/5. Suppose 5*d - k = -0*k + y, 5*k = 3*d - 232. Calculate the remainder when d is divided by 22.
13
Suppose -3*p = -4*s + 2232, -412 + 1556 = 2*s - 5*p. What is the remainder when 3324 is divided by s?
12
Let u(n) = n + 3. Let w be u(0). Suppose -5*f = -x - 609 - 506, w*f - 4*x - 686 = 0. What is the remainder when f is divided by 1*(-2 - 88)/(17 + -19)?
42
Suppose q + 10 = -5*v, -4*v + 1 + 2 = 3*q. Suppose 0 = -u - 4*u - 20, -2*u = 5*d - 22. Suppose d*a = a + 65. Calculate the remainder when a is divided by q.
3
Suppose 0 = -26*z + 1448 - 18. Suppose -7*m + z = -127. What is the remainder when 42 is divided by m?
16
Let o = 21754 - 21677. Calculate the remainder when 250 is divided by o.
19
Let h = -475 + 325. Let w = -140 - h. What is the remainder when 19 is divided by w?
9
Suppose 8184 = 33*n - 22308. What is the remainder when 937 is divided by n?
13
Let p be (-24 + 18)*10/(-4). Calculate the remainder when ((-9)/6)/(p/(-160)) is divided by (3 - -2)/5*9.
7
Let b be (-1 + (-10)/(-6))*6. Suppose b*y - 53 = 59. Calculate the remainder when y is divided by (-6)/21 - (-216)/21.
8
Let l(f) = 0 + 1 + f**2 + 2*f - 2. Let j = -6595 - -6601. Calculate the remainder when l(-5) is divided by j.
2
Suppose -904 = -4*f + 47 + 3293. Calculate the remainder when 3198 is divided by f.
15
Suppose -117*a + 336 = -1536. Suppose 5*j - 775 = -4*f, f + 174 = j - 2*f. Calculate the remainder when j is divided by a.
15
Let x(o) = -o + 5. Let n be (-2 - (-21)/6)*26. Let r = n - 47. Calculate the remainder when x(r) is divided by 7.
6
Suppose 64*m = -58*m + 111*m + 55. Suppose 8*x - 22 = -6. Calculate the remainder when m is divided by x.
1
Let b(t) = t**2 + 36*t - 154. Calculate the remainder when 2449 is divided by b(6).
97
Let v = 20 + -14. Suppose -4*f = 2*d + 268 - 348, -d + 5*f + 75 = 0. Suppose v*k - d = k. What is the remainder when 49 is divided by k?
9
Suppose 0 = -7*z - 28. Let y(d) = 2*d**2 + 2*d + 11. Suppose 5*q + 3*k = 90, -2*q + 5*k + 72 = 2*q. Calculate the remainder when y(z) is divided by q.
17
Let q = -2135 + 2214. Calculate the remainder when q is divided by 69.
10
Let i(s) = -s**3 - 21*s**2 + 474*s + 89. Calculate the remainder when i(-35) is divided by 323.
3
Suppose 10*a - m - 887 = 0, -2*m - 83 = -54*a + 53*a. What is the remainder when 152 is divided by a?
63
Suppose -3*c = 5*d - 0*d - 189, -192 = -5*d - 4*c. Suppose 6*r - 13*r + 441 = 0. Suppose -4*j + r - 23 = 0. What is the remainder when d is divided by j?
6
Let m(q) be the third derivative of 9*q**6/8 + q**5/60 - 4*q**2 + 4. What is the remainder when m(1) is divided by 6?
4
Let j = 3081 + -3071. What is the remainder when 249 is divided by j?
9
Calculate the remainder when (((-8877)/2)/33)/(3/(-6)) is divided by 174.
95
Suppose -47*d - 3*o - 190 = -49*d, 4*o - 218 = -2*d. What is the remainder when d is divided by 26?
23
Suppose -5*g - 18 = -7*g. Suppose d + 7302 = 7306. What is the remainder when g is divided by d?
1
Suppose 0 = 10*t + 9*t + 665. Calculate the remainder when ((-4228)/t)/(4/10) is divided by 77.
71
Let c(y) = 6197*y - 136102. What is the remainder when c(22) is divided by (-4)/14 - (-384)/21?
16
Suppose 2*t + 1198 = 4*o - 0*t, 1183 = 4*o + t. Let s = 25842 - 25817. Calculate the remainder when o is divided by s.
22
Let l = 62 + -5. Let p(w) = -w**3 + 8*w**2 + 12*w + 4. Let s = -31 - -40. Calculate the remainder when l is divided by p(s).
26
Suppose 2 = 2*t, 7*y - 4*t = 4*y + 248. Let s = y + -69. What is the remainder when 74 is divided by s?
14
Let p(m) = 8*m**2 + 20*m - 165. Let b be p(14). Suppose -1688*u = -b*u - 2020. Calculate the remainder when u is divided by 102.
98
Suppose 159 + 26 = 3*m + 5*y, -4*y = 2*m - 120. Suppose -5*c = -186 + 61. Calculate the remainder when m is divided by c.
20
Let d(b) = 3*b**2 + 21*b + 7. Let p be (-134)/1005 + (-133)/15. Calculate the remainder when 176 is divided by d(p).
54
Suppose -2*r + 7*r + 23 = -t, -5 = r. Suppose -5*g + 5*c = -460 - 105, -t*g = 2*c - 206. Let m = g - 107. What is the remainder when m is divided by 1?
0
Suppose -5*q + 2 = -13. Let k = -30 - 8. Calculate the remainder when 211/q + k/(-57) is divided by 18.
17
Let l(r) = -2*r + 18. Let w be l(7). Suppose -w*i + 2*t + 640 = 0, -3*i - 205 = 5*t - 672. Calculate the remainder when i is divided by 16.
15
Suppose 0 = -202004*v + 202014*v - 300. Suppose 4*r - d - 306 = 407, -4*r + 688 = 4*d. Calculate the remainder when r is divided by v.
27
Let x(i) = 8*i**2 - 263*i + 264. What is the remainder when 8270 is divided by x(1)?
8
Suppose -s - 11 = d + 2*d, 0 = d + 4*s. Suppose q = -4*q + 65. Calculate the remainder when 1/(-4) - (145/d + 1) is divided by q.
9
Let b = -32533 - -32537. What is the remainder when 1358 is divided by b?
2
Suppose -170 = -10*r - 0. Let b = r - 15. Suppose 5*q = -b*v + 895, 5*q - 1108 + 208 = -v. Calculate the remainder when q is divided by 46.
43
Suppose -5*i = -45 - 100. Let d(m) = -m**3 + 9*m**2 + 12*m + 23. Let y be d(10). Let z = y - 35. Calculate the remainder when i is divided by z.
5
Let c = 29 + -15. Calculate the remainder when c is divided by ((-156)/(-16) - 8)*(-10)/35*-8.
2
Let x = 2335 - 2249. Calculate the remainder when 268 is divided by x.
10
Let n = -12050 + 12087. What is the remainder when 364 is divided by n?
31
Suppose -44*o + 5476 = -2180. Calculate the remainder when 325 is divided by