40
Suppose -5*v = -5 - 5. Suppose 0 = -v*q + q + 59. Let c = q + -40. Calculate the remainder when 74 is divided by c.
17
Suppose m = 6*m. Let b be 13 + 3 - (m + 1 + 1). Suppose -b = -d - 0. Calculate the remainder when 49 is divided by d.
7
Let p(c) = -c**2 - 17*c - 5. Let g = 237 - 251. Calculate the remainder when p(g) is divided by 5.
2
Calculate the remainder when 12 is divided by 9/(1157/130 - 8).
2
Let x = 19688 - 19605. Calculate the remainder when 135 is divided by x.
52
Suppose -101*y = -99*y - 338. What is the remainder when 529 is divided by y?
22
Let q be 15/(-5) - (-18 - -5). Suppose -77 = q*c - 17*c. Calculate the remainder when 52 is divided by c.
8
Suppose 693*h - 709*h = -304. What is the remainder when 1063 is divided by h?
18
Suppose 3513 = 3*t + 2*r, -5*t + 210*r + 5855 = 214*r. What is the remainder when t is divided by 197?
186
Suppose 2*m = 0, -j + 3*m = -5*j + 1332. Let g = -317 + j. What is the remainder when 88 is divided by g?
8
Calculate the remainder when 155 is divided by -26*(120/(-16) - -3).
38
Suppose -1535*d + 1458*d + 5544 = 0. What is the remainder when 2156 is divided by d?
68
Suppose 1 = -40*j + 81. Suppose 9*f - 12*f = -5*p - 1014, 3*f - 1023 = j*p. Calculate the remainder when f is divided by 43.
42
Let f = 410 - 408. Suppose 0 = -u + f*u - 23. Calculate the remainder when 80 is divided by u.
11
Let d(i) = -2*i**2 - 53*i + 42. Let u(b) = -11*b - 71. Let y be u(-4). What is the remainder when 21 is divided by d(y)?
6
Let r = 123 - -129. Suppose w - 7*w = -r. Let p = 58 - w. Calculate the remainder when 29 is divided by p.
13
Suppose 916*u = 911*u + 90. Calculate the remainder when 255 is divided by u.
3
Let k(c) = 23*c**2 - 21*c + 98. Suppose 17*b - 68 = -0. Calculate the remainder when k(b) is divided by 16.
14
Suppose -79 = 4*w - 395. Let y be (-1 - -3) + 10/(-1). Let v = y + 24. Calculate the remainder when w is divided by v.
15
Let v(s) = 2*s**2 - 99*s + 154. Let c be v(48). Suppose 7*u = c*u - 15, -2*u + 31 = l. What is the remainder when 70 is divided by l?
7
Let r = 13371 - 12150. Calculate the remainder when r is divided by 51.
48
Let i(g) = -g**3 - 6*g**2 + 4*g + 6. Let m be i(-6). What is the remainder when (m/12)/((-3)/80) is divided by (-15)/(7 - (14 + -6))?
10
Let b(d) = -d**3 - 28*d**2 + 3*d + 96. Let z = -4 + -2. What is the remainder when (z/(-15))/(3/255) is divided by b(-28)?
10
Suppose 114*c = 118*c + a - 1675, 2*a + 421 = c. What is the remainder when c is divided by 12?
11
Let z(s) = 4*s - 44. Let x be z(11). Suppose -9*w + 38 + 115 = x. Calculate the remainder when 29 is divided by w.
12
Let m(u) = 256*u - 8. Let j = -10314 + 10408. Calculate the remainder when m(7) is divided by j.
92
Let v(t) = 9*t + 84. Let d be v(-23). Let k = -64 - d. Calculate the remainder when 173 is divided by k.
55
Let g be (20/(-6))/(1/(-6)). Let n = g + -4. Suppose -s - 6 = 5*y, -12*y = 5*s - 10*y - 39. Calculate the remainder when n is divided by s.
7
Calculate the remainder when (-2 + (-1485)/12)*(7 + (-165)/15) is divided by 164.
11
Let o = 168126 - 168123. Suppose 0*x - 2 = x, 2*x = 4*g - 168. What is the remainder when g is divided by o?
2
Suppose -m + 3*m = -1650. Let z be m/(-45) - 1/3. Suppose -13*q = -z*q + 85. Calculate the remainder when 66 is divided by q.
15
Let t be (6/18)/((-2)/(-1164)). Calculate the remainder when 69 is divided by 51/(-24) + 2 - t/(-16).
9
Suppose -5*y + 5*n + 3350 = 0, n = -4*y - 0*n + 2665. Calculate the remainder when y is divided by 42.
37
Suppose 4*h - 3*l + 7*l - 1500 = 0, -5*h + 1872 = 2*l. Calculate the remainder when h is divided by 128.
118
Suppose 2*i = -256 + 243 + 1229. Calculate the remainder when i is divided by 11.
3
What is the remainder when 6/(((-2)/(-12))/(3165/135)) is divided by 18?
16
Let p(h) = h**3 - 3*h**2 + 13*h - 25. Let d be p(7). Suppose -d*i + 250*i + 156 = 0. Calculate the remainder when i is divided by 9.
4
Suppose 68*g + 121*g + 4*g = 1158. Calculate the remainder when 680 is divided by g.
2
Suppose -77*k + 193*k = -197*k + 38499. What is the remainder when 200 is divided by k?
77
Calculate the remainder when 304 is divided by ((-32)/80)/(2/(-1490)).
6
Let u = 20689 + -12913. Calculate the remainder when u is divided by 518.
6
Let p be -2*(-1 - 0)*45/(-18). Let z be (-3 + (-22)/(-6))/(p/(-135)). Suppose 17*n = z*n - 14. What is the remainder when 63 is divided by n?
7
Suppose -74*v + 1035 = -2054 + 869. What is the remainder when 5068 is divided by v?
28
Suppose 0 = 4*b - 19*c + 23*c - 8824, -2*b + 4*c + 4364 = 0. What is the remainder when b is divided by 2196?
2
Let a(g) = -3*g**3 + 2*g**2 - 19*g + 5. Let l be a(5). Let z = 882 + l. Calculate the remainder when z is divided by 10.
7
Let c be 2/1 - (-4 + 2/2). Suppose 9 = -w - 3*q + 25, q - 136 = -c*w. Calculate the remainder when 164 is divided by w.
24
Let n(j) = -2*j. What is the remainder when n(-6) is divided by ((18/(-10))/((-129)/86))/(46/115)?
0
Let g be ((-3)/1 - -3) + 3. Suppose -5*y = 4*p - 32, -5 = -2*y + 7*p - 6*p. What is the remainder when (1 - -15) + -2 - 9/g is divided by y?
3
Suppose -3024 = -24*m + 6*m. Suppose -3*t + 0*t + 3*p = -m, 15 = 5*p. What is the remainder when 168 is divided by t?
50
Let l = 13 + -21. Let k(x) be the first derivative of 2*x**3/3 + 11*x**2/2 - 2*x + 213. Calculate the remainder when 147 is divided by k(l).
33
Let t(f) = f**3 - f**2 + 22. Suppose -6*u = -1 + 1. What is the remainder when 78 is divided by t(u)?
12
Let q = -13 + 8. Let y(t) be the third derivative of t**5/60 + t**4/24 + 11*t**3/6 - 119*t**2. Calculate the remainder when y(q) is divided by 7.
3
Let u = -26023 - -26113. Calculate the remainder when 501 is divided by u.
51
Suppose -18*p = -29*p + 396. Calculate the remainder when 1937 is divided by p.
29
Suppose 126 = -w + 149. Let z(f) = 2*f**3 - 7*f**2 + 6*f + 5. Let p be z(6). Suppose -3*y - 26 = -p. What is the remainder when y is divided by w?
19
What is the remainder when (19 + -736)*(125/(-15) + 6) is divided by 105?
98
Let r(p) be the second derivative of 0*p**4 + 0 + 3/2*p**5 - 1/6*p**3 + 1/2*p**2 - p. Calculate the remainder when r(1) is divided by 8.
6
Let q = -5829 - -8378. What is the remainder when q is divided by 44?
41
Suppose 2*p - n = -3*p + 106, 5*p - 109 = 4*n. Let o = -11 + p. Let b(k) = 2*k - 2. Calculate the remainder when b(14) is divided by o.
6
Let g(k) = k**2 + 4*k - 27. Let s be g(-8). Let l be (-238)/(-7)*((-35)/2)/s. Let u = 210 + l. Calculate the remainder when u is divided by 19.
15
Suppose 1491 = 23*j + 1307. What is the remainder when 19 is divided by j?
3
Suppose 6*o - 2*o = -3*o. Suppose -3*f + 2*d + 1001 = -o*d, 5 = -5*d. What is the remainder when f is divided by 42?
39
Suppose 0 = -w + f - 3*f, 2*f = -4. Suppose 5*p - 80 = 5*n, -w*n - 44 = -2*p - 5*n. What is the remainder when (-189)/(-4) - (-5)/p*-1 is divided by 16?
15
Let u be (3 + (-6)/10)*(-30)/(-4). Suppose 2 = -h + 10. What is the remainder when 4/u + 259/9 is divided by h?
5
Suppose a + 17 - 108 = 2*i, 5*i + 5*a = -220. Let v = 186 + -181. Calculate the remainder when v is divided by (60/i)/(4/(-3)).
0
Let q(u) = 2*u**2 - 25*u - 91. What is the remainder when q(28) is divided by 15?
12
Suppose 0 = 3*q - l - 4 - 6, l - 5 = 0. Let r(j) = 3*j**2 - 6*j - 12. What is the remainder when 196 is divided by r(q)?
31
Suppose 168*b = 161*b - 2905. Let w = -412 - b. Let n = 19 - 6. What is the remainder when n is divided by w?
1
Calculate the remainder when 840 is divided by ((-86)/(-645)*(-10)/(-4))/((-3)/(-423)).
41
Suppose p - 739 = -2*a, -3*a = -p + 27 + 702. Let v be (2/(-6))/(0 + (-5)/p). Let n = v - 40. Calculate the remainder when 44 is divided by n.
8
Let f(q) = 56*q + 1173. What is the remainder when 128 is divided by f(-19)?
19
Let x(r) = r**3 + 16*r**2 + 8*r - 38. Let h be x(-14). Suppose -8*p + h = 2. Calculate the remainder when 140 is divided by p.
20
What is the remainder when 30192/153*9*68/48 is divided by 24?
20
Let p = -824 - -800. Let a(g) = -20*g - 457. What is the remainder when 44 + -1 + (0 - -2) is divided by a(p)?
22
Let s = 273 - 168. Suppose 7*x - 4*x - 426 = 0. Suppose 2*p + 5*r - 67 = 0, -x + 2 = -4*p - 4*r. What is the remainder when s is divided by p?
33
Let t = 1338 + -998. What is the remainder when t is div