 by v(-1).
0
Suppose 6*c = 3*n + 10*c + 480, -c - 817 = 5*n. Let p = 195 + n. What is the remainder when 120 is divided by p?
27
Let q(b) = 3*b**2 + 8*b - 4. Let m = -834 + 845. Calculate the remainder when q(6) is divided by m.
9
Calculate the remainder when 1406 - (-6 - 1) - 13 is divided by 202.
188
Let s(l) = -67*l + 32. Let j be s(-9). Suppose -j = -5*z + 4*f, 7*z - 6*z - 127 = -5*f. Calculate the remainder when z is divided by 19.
13
Calculate the remainder when (4554/44)/(15/(-12) - -2) is divided by 14.
12
Suppose 3*l + 536 = 4*n, 402 = 3*n - 4*l + 9*l. Let x = -204 + 123. Let h = x + n. Calculate the remainder when h is divided by 28.
25
Suppose 0 = 1268*k + 491*k - 19349. Let a(w) = -w**2 - 4*w + 3. Calculate the remainder when k is divided by a(-4).
2
Suppose 0 = 7*w - 13*w + 84. Suppose -w*g = -13*g - 82. Calculate the remainder when g is divided by 45.
37
Suppose -3*m = k - 45, -2*m + k + 20 = 5*k. Suppose 33 = -m*t + 5*t. What is the remainder when 41 is divided by (-20)/(-2) - (0 + (0 - t))?
6
Suppose -z = -5*a - 28, 3*a - 2*a + 38 = 2*z. Calculate the remainder when 169 is divided by 6/4*(-12)/z*-59.
51
Let l = -8 + 15. Suppose 288 = l*k - 4*k. Suppose 77*m - 74*m - k = 0. Calculate the remainder when 191 is divided by m.
31
Suppose -m = -0*k - 3*k - 39, -5*m + 5*k = -195. Let t = 63 + -190. Let z = 135 + t. Calculate the remainder when m is divided by z.
7
Let d = -4 + 135. What is the remainder when d is divided by (-1 + -1)/(10/(-22) - 492/(-1804))?
10
Suppose 5*o + c = 2427, 4*c = -3*o - 158 + 1587. Calculate the remainder when 985 is divided by o.
11
Suppose 164*h + 53*h - 30814 = 0. Calculate the remainder when 184 is divided by h.
42
Let y = 48 - 54. Let b be (-30)/(1 + y) + -2. Suppose -b = -2*t, -t - 3*t + 105 = s. Calculate the remainder when s is divided by 25.
22
Suppose 54 + 76 + 39 = 13*u. What is the remainder when 26 is divided by u?
0
Suppose -10*v + 11*v = -5*c - 3350, -4*c - 2674 = 2*v. Let w = 692 + c. What is the remainder when 1153 is divided by w?
19
Let h(y) = -2*y**3 - 25*y + 209. What is the remainder when h(-14) is divided by 25?
22
Suppose 45*x - 100*x = -72*x + 69462. Calculate the remainder when x is divided by 73.
71
Let s = 91 + 10. Let t(c) = -c**3 + 84*c**2 - 158*c - 439. Calculate the remainder when s is divided by t(82).
48
Suppose 6*g + 3*t + 855 = 9*g, 7*g + t = 1987. What is the remainder when g is divided by 129?
26
Let y(f) = 4*f + 93. Let h be y(-21). What is the remainder when 429 is divided by ((-48)/h)/(14/(-189))?
69
Let j = -3245 - -3300. What is the remainder when 28652 is divided by j?
52
Let v = -24983 - -25002. Suppose -91 + 18 = -u. Calculate the remainder when u is divided by v.
16
Suppose -5*u = 20, -2*u - 9 = -5*n + 4*n. Let h(q) = n + 7 - 6 - 4*q + 11. What is the remainder when h(-3) is divided by 7?
4
Let d = 169 + -267. Suppose -5*p - 33 = 182. Let k = p - d. Calculate the remainder when k is divided by 4.
3
Let x(p) = 20*p**2 - 62*p - 48. Let n = -370 - -536. What is the remainder when n is divided by x(-1)?
30
Calculate the remainder when 455 is divided by (112/21 - (0 - 40/24)) + 225.
223
Suppose 4*j + 3*m - 4757 = 3157, 5*j - 5*m - 9910 = 0. What is the remainder when 393 is divided by (2 - 1)/(20/j)?
96
Let m = 690 + -473. Suppose 0 = 72*z - 1183 + 376 - 777. Calculate the remainder when m is divided by z.
19
Suppose 5*q + 0*q - 405 = 0. Calculate the remainder when q is divided by (13/(-52))/(6/(-342 + 6)).
11
Suppose 5*a + 128 = 163. Suppose 0*h = -h - a. Let x(m) = 3*m + 39. Calculate the remainder when 141 is divided by x(h).
15
Let j(f) = 36*f**2 - 3*f + 2. Let l = -10 + 11. Let u(w) = -2*w**2 + 22*w + 10. Calculate the remainder when j(l) is divided by u(11).
5
Let l(y) = 10*y**2 + 2*y - 4. Let t be l(2). Suppose 6*n - 2*n - t = 0. Let r = 13 + n. What is the remainder when r is divided by 8?
7
Suppose 5*i + 4*u = 409, 23*u = 19*u + 4. Suppose -14*l = -227 - i. Calculate the remainder when 128 is divided by l.
18
Let s(w) = 93*w + 11155. Calculate the remainder when s(-115) is divided by 411.
49
Suppose -19*d + 353 = 144. Calculate the remainder when 2095 is divided by d.
5
Suppose -215 = -5*c + p, -3*c + p = -0*c - 129. Calculate the remainder when 106875/1250*((-2)/(-5) - (-36)/10) is divided by c.
41
Let t(l) be the first derivative of -l**4/4 - 4*l**3 + 14*l**2 + 18*l - 123. What is the remainder when t(-14) is divided by 5?
3
Let j(n) = n**3 + 5*n**2 - 3*n + 5. Let t be j(-4). Let k be (-9)/(-2)*(-2552)/t. Calculate the remainder when (5 - k/4)*1/2 is divided by 7.
4
Let g = 1749 + -1734. What is the remainder when 403 is divided by g?
13
Let v be 9/((-36)/32)*(-141)/12. Suppose 0 = f + 23 - v. What is the remainder when f is divided by 24?
23
Let h = -2508 + 3770. What is the remainder when h is divided by 16?
14
What is the remainder when 826 is divided by -8 + (9 + -7)/(-2)*-173?
1
Let d(m) be the third derivative of m**6/120 + m**5/10 - 25*m**4/24 + 4*m**3/3 + 13*m**2. Calculate the remainder when 313 is divided by d(-8).
73
Suppose -4*d - 269 = 2*t - 1367, 3*t = 15. Suppose -68 = -5*c + d. Calculate the remainder when c is divided by (-99)/11 + (-3 - -36).
20
Let q = 1750 - 1741. Calculate the remainder when 176 is divided by q.
5
Suppose 10*m - 15*m + 65 = 0. Let t(j) = -j + 14. Let g be t(m). Let l(o) = 104*o - 3. What is the remainder when l(g) is divided by 26?
23
Let u(p) = 21*p - 413. Let r be 4/(-3)*957/(-22). Let t = -7 + r. What is the remainder when t is divided by u(21)?
23
Calculate the remainder when ((-6)/(-7))/(465/88970) is divided by 101.
63
Let j(d) = -3*d**2 + 10*d + 4. Let w be j(12). Calculate the remainder when w/(-10)*5*(-4)/(-8) is divided by -8*15/(-6)*16/20.
13
Let l = 20899 - 20103. What is the remainder when l is divided by 85?
31
Let s(f) = 70*f + 90. Let b = 677 - 676. What is the remainder when s(b) is divided by 33?
28
Let a(o) = o + 66. Let r be a(28). Let t = -25 + r. Calculate the remainder when t is divided by 12.
9
Let t = -133145 - -133163. Calculate the remainder when t is divided by (-164)/(-14) - 2/(-7).
6
Suppose -550 = 41*t - 1862. Calculate the remainder when 351 is divided by t.
31
Suppose -2*h + 7*h = 3*f - 331, -3*f - 3*h = -291. Let z(s) = -67*s**3 - s. Let q be z(-1). Let b = f - q. What is the remainder when b is divided by 9?
7
Suppose 21*n - 1820 = 25*n. Let l = -439 - n. Calculate the remainder when 33 is divided by l.
1
Suppose -47 = -4*r + 41. Let o = -13918 + 13928. Calculate the remainder when r is divided by o.
2
Suppose 0 = 10*m + 2*m - 36. Suppose 0 = -d + 5*s + 33, 0 = m*d - 5*s + 19 - 108. Calculate the remainder when 78 is divided by d.
22
Let q be (-5 + (1 - 1))*(-140)/350. Suppose -15*o + q*o + 559 = 0. Calculate the remainder when o is divided by 15.
13
What is the remainder when -16316*4/(-176) - (-16)/88 is divided by 102?
65
Suppose a - 6*a = 10. Suppose -120 = 5*g - 5*c + 110, -5*g + 3*c - 230 = 0. Let u = a - g. What is the remainder when u is divided by 15?
14
Suppose 0 = -0*o - 4*o + 52. Suppose -19*m = 2311 - 8239. Let u = m - 294. Calculate the remainder when u is divided by o.
5
Suppose w = -5*t + 29, 3*t = 2*w - 43 - 28. Let h be 277/9 - 6/(-27). Let o = w - h. Calculate the remainder when 11 is divided by o.
2
Let w = 4663 + -4130. Calculate the remainder when w is divided by 78.
65
Suppose 0*w - 2*w + 30 = 0. Let d(y) = 12*y + 5. Let s = 20 + -17. Calculate the remainder when d(s) is divided by w.
11
Suppose -59*h + 55*h = -16. Suppose -o - 3*y = -0*o - 12, 0 = o + h*y - 14. Suppose z - 15 - 6 = 0. What is the remainder when z is divided by o?
3
Suppose 0 = 4*h - 2*h - 6. Let o(j) be the second derivative of 7*j**4/12 + j**3/2 - j**2 - 37*j. Calculate the remainder when o(1) is divided by h.
2
Let g = 330 - 256. Suppose r + 5*a = g, 41*a = 46*a - 10. Calculate the remainder when r is divided by 13.
12
Suppose 34*n + 69*n - 35757 = -34*n. What is the remainder when 814 is divided by n?
31
Suppose 127 = 4*r - 77. Suppose -3*q + 397 = 2*c, -c - 4*q = 3*c - 800. Calculate the remainder when c is divided by r.
50
Let k = -84585 - -84633. What is the remainder when (0 + 2 - 0)*71 is divided by k?
46
Let l(k) = -k**2 + 6*k + 4. Let t be l(6). Suppose -t = 3*z - 1. What is t