-435 - 345 = -5*s. Suppose -6*t + s = -a. Calculate the remainder when t is divided by 15.
13
Suppose 0 = -d + 93 + 8. Suppose 2*f - 38 = 14. Calculate the remainder when d is divided by f.
23
Suppose 6 = 2*k - 5*n - 18, -n + 12 = 2*k. Suppose 5*q = -4*y + 115, -4*y + 11 = -3*q - 80. What is the remainder when y is divided by k?
4
Let y be (2/(-3))/((-4)/(-183))*-2. Let w = -49 + y. What is the remainder when 30 is divided by w?
6
Suppose -7*a = -5*a - t - 21, 0 = -2*a - 4*t + 36. Calculate the remainder when 117 is divided by a.
9
Let z(d) = -d**2 - 5. Let p be z(0). Let b(f) = -f**3 - 5*f**2 - 3*f + 6. Calculate the remainder when b(p) is divided by 7 - (0 - -1)/1.
3
Suppose 2*h = 8, 0*s - s - 5*h = -100. Let x = 414 - 393. What is the remainder when s is divided by x?
17
Let i be (-5)/(3 - 16/6). Let c = -5 - i. Calculate the remainder when 37 is divided by c.
7
Let p(m) = -17*m + 488. What is the remainder when p(20) is divided by 25?
23
Let q(w) = 7*w + 35. Let a be q(-5). Suppose a*k - 90 = -5*c + 2*k, -4*c + 95 = 3*k. What is the remainder when 99 is divided by c?
19
Let n(c) = 7*c**2 - 3*c + 3. Suppose 0 = -4*h + 13 - 1, 9 = -3*q + 5*h. Suppose 156 = 44*w - 32*w. What is the remainder when n(q) is divided by w?
12
Let y(n) = -39*n + 57. Calculate the remainder when y(-2) is divided by 34.
33
Let f(a) = -a**3 + 6*a**2 - 3*a - 8. Let r be f(5). Suppose -5*u = r*u - 273. Calculate the remainder when 75 is divided by u.
36
Let j = -77 - -86. Suppose -4*k + 17 = -3*k. What is the remainder when k is divided by 12/j + (-15)/(-9) + 1?
1
Let k(m) = -m**3 + 9*m**2 + m - 9. Let z be k(9). Let v(s) = s**3 + 2*s**2 + 12. Suppose 3*y = 2*y + 7. Calculate the remainder when v(z) is divided by y.
5
Let a(x) be the first derivative of x**2/2 + 32*x - 9. Calculate the remainder when a(21) is divided by 27.
26
Suppose 4*d - 540 + 200 = 0. What is the remainder when d is divided by 22?
19
Suppose -38 = -5*g - 4*u, -5*g = -3*u + 10 - 34. Suppose 6*q - 84 = g. Calculate the remainder when 41 is divided by q.
11
Suppose 0 = c - r + 241, 2*r + 3 = -7. Let m = c + 362. Calculate the remainder when m is divided by 13.
12
Calculate the remainder when 3 - -46 - (-12)/4*-1 is divided by 24.
22
Suppose 2*u + 253 + 537 = 4*k, 5*u + 575 = 3*k. Calculate the remainder when k is divided by 68.
64
Let o = 24 - 24. Let r(c) = c**3 - c**2 + c + 78. Calculate the remainder when r(o) is divided by 20.
18
Let y = -271 + 412. Let o = y - 118. Calculate the remainder when 88 is divided by o.
19
Let x(z) = 24*z - 6. Calculate the remainder when x(2) is divided by 15.
12
Let c(a) = a + 2. Let k be c(1). Suppose -5*d - h = -59, 0 = 3*d - d + k*h - 21. Calculate the remainder when 21 is divided by d.
9
Let g(d) = -d + 23. Let h be g(-5). Let z = h - 13. What is the remainder when 26 is divided by z?
11
Let x(t) = t**3 - 12*t - 7. Calculate the remainder when 189 is divided by x(5).
15
Let f = -316 - -604. Suppose -f = -20*m + 17*m. Calculate the remainder when m is divided by 11.
8
Let c(x) be the second derivative of 1/12*x**4 - 1/2*x**3 - 6*x + 0 - 3*x**2. What is the remainder when c(5) is divided by 4?
0
Let d be (-12)/(21/(-8) - -3). Let r be (-80)/d*24/10. What is the remainder when 13 is divided by (-4 - -13) + r/(-3)?
6
Let p(h) = h**3 - 13*h**2 + 2*h - 17. Let z be p(13). Suppose 2*k = 5*l - 17, 6*l - l - 4*k = z. What is the remainder when 69/4 + 2/(-8) is divided by l?
2
Suppose 0 = 5*u + 8*u - 2353. Suppose -u + 1 = -5*z. What is the remainder when z is divided by 8?
4
Suppose 130 = 5*l + 45. Let v = l + -21. Calculate the remainder when 44 is divided by 1/4 - 59/v.
14
Let v = 3 + 8. Let b(j) = -j**3 + 29*j**2 - 50*j + 23. What is the remainder when b(27) is divided by v?
10
Let f(d) be the first derivative of -d**4/4 + 4*d**3/3 + 7*d**2/2 + d - 11. Let i = -10 - -17. What is the remainder when f(5) is divided by i?
4
Suppose -4*m = -151 + 19. Let v be (-79)/(-11) + (-6)/m. Let g(w) = w**3 - 6*w**2 - 5*w + 7. What is the remainder when g(v) is divided by 8?
5
Let k(o) = o - 1. Let j be k(1). Suppose 3*d - 8 - 7 = j. Suppose -d*u = 4*l - 33, 6*u = -l + 2*u + 11. What is the remainder when 19 is divided by l?
5
Suppose -n + 3*n - 28 = 0. Let z(d) = d**3 - 15*d**2 + 14*d + 14. Let h be z(n). Let s = h - -3. What is the remainder when 66 is divided by s?
15
Let u = 424 + -305. What is the remainder when u is divided by 38?
5
Let c(o) = o - 9. Let q be c(3). Let z be -3 + 4 - 2 - q. Let h(w) = 10*w - 4. Calculate the remainder when h(z) is divided by 12.
10
Let a(s) = s**3 - s**2 + 48. Let b be a(0). Let c = b - 44. What is the remainder when c is divided by 3?
1
Suppose 2*k = -5*j + 4 - 16, -2*j + 3*k - 1 = 0. What is the remainder when (121 - j/(-2)) + -1 is divided by (-30545)/(-1025) - 1/(-5)?
29
Suppose -2*p + 2*v = -80, 5*p + 4*v = 88 + 85. Suppose 5*g + 17 = 112. What is the remainder when p is divided by g?
18
Let q = 88 + -60. What is the remainder when 105 is divided by q?
21
Let c be 3/2*(-4)/(-3). Let j = 119 - 72. Suppose 3*a - j = c*a. Calculate the remainder when a is divided by 12.
11
Let f(k) = k**2 + k - 4. Let m be f(-3). Let g(w) = 2*w**2 - 2*w + 2. Calculate the remainder when -1 - (2 + -25 - 0) is divided by g(m).
4
Let i be (0 - 152/16)*4/(-2). Suppose -i*o = -14*o - 75. What is the remainder when 102 is divided by o?
12
Suppose 27*q = 28*q - 59. Calculate the remainder when q is divided by 15.
14
Let a be (-16)/(((-4)/5)/4). Suppose -13*n + a = -24. Calculate the remainder when 20 is divided by n.
4
Let p be (-1)/(1/6)*62/(-124). Suppose 4*m + p = 27. Calculate the remainder when 39 is divided by m.
3
Let p = 1875 + -1826. Suppose -53 = -2*n - 19. What is the remainder when p is divided by n?
15
Suppose y + 84 = 85. Suppose -4 = -n - 0*n. Calculate the remainder when n is divided by y.
0
Suppose -8*f = -88 - 264. Suppose -3*w + 17 + 60 = -5*y, -2*w = 4*y - f. What is the remainder when w is divided by 3?
0
Let n = -7854 - -7988. Let o(c) = 28*c**2 - 2*c + 1. What is the remainder when n is divided by o(1)?
26
Suppose -1321 = -4*f + p - 6*p, -5*f + 4*p = -1641. What is the remainder when f is divided by 102?
23
Let n(y) = 4*y**3 + 7*y**2 + 3*y - 2. Let a(o) = -3*o**3 - 7*o**2 - 2*o + 3. Let s(b) = -3*a(b) - 2*n(b). Calculate the remainder when s(-5) is divided by 10.
5
Suppose 0 = 4*z - 5*z + 14. Calculate the remainder when 279 is divided by z.
13
Let t = 3307 + -3276. What is the remainder when 224 is divided by t?
7
Suppose 6224*p - 6220*p = 384. What is the remainder when 191 is divided by p?
95
Let i = -334 - -343. What is the remainder when 475 is divided by i?
7
Let s = 7 + 12. Let v = -48 + 40. Calculate the remainder when s is divided by (-4)/(v/6) - -8.
8
Suppose -3*d + 1019 + 28 = 3*h, d + 4*h = 334. Suppose -3*a - 111 = -d. Let v = -18 - -39. Calculate the remainder when a is divided by v.
18
Let y = 238 - 17. Suppose -4*d + 218 = -3*c - y, -432 = -4*d - 4*c. What is the remainder when d is divided by 16?
13
Let v = 49 - -339. What is the remainder when v is divided by 23?
20
Calculate the remainder when ((-3052)/(-21) - -16) + (-2)/(-3) is divided by 15.
12
Suppose 4*z - 5*c + 8*c - 111 = 0, -4*z - 2*c = -110. Calculate the remainder when 44 is divided by z.
17
Let j = 393 + -227. Let t(w) = -30*w + 134. What is the remainder when j is divided by t(4)?
12
Calculate the remainder when (-2)/(-12) - (-27985)/174 is divided by 33.
29
Let k = -39 - -65. Suppose 4*r - 150 = 3*t - 452, 0 = -5*t + 2*r + 494. What is the remainder when t is divided by k?
20
What is the remainder when (1 - (-44)/(-36)) + (-357)/(-27) is divided by 5?
3
Suppose -r + 2 = r. Let n(i) = -2*i**3 + i. Let b be n(r). What is the remainder when 21 is divided by b*-1*(7 - -1)?
5
Suppose 4*s - 2*d + 0*d = 104, 2*s + 3*d = 52. Calculate the remainder when s is divided by 8.
2
Let r = 6 - -8. Suppose y - r = -y. Calculate the remainder when y is divided by 4.
3
Let a(z) = -5*z + 14. Let o be a(-5). Let p = o + -12. What is the remainder when p is divided by 7?
6
Let a(m) = 9*m + 3*m - 7*m + 4. Let n(y) = -y**2 + 7*y - 4. Let h be n(6). Calculate the remainder when 27 is divided by a(h).
13
Suppose -753*z = -760*z + 483. Let y(q) = -9*q - 6. Let w be y(-5). Let b = 57 - w