8
Let m = 14397 - 14193. What is the remainder when m is divided by 30?
24
Suppose 0 = -5*k - 0*k - 10, 2*m + 2*k - 166 = 0. What is the remainder when 941 is divided by m?
6
Suppose 31*k - 10840 = 59003. Calculate the remainder when k is divided by 24.
21
Let r(q) be the first derivative of -q**3/3 - 19*q**2/2 - 69*q + 45. What is the remainder when 21 is divided by r(-7)?
6
Suppose -6*s + 2584 = 2506. What is the remainder when 373 is divided by s?
9
Suppose 0 = -0*a - a + 84. Let t = a - -61. Suppose -3533 = -119*z + 2298. What is the remainder when t is divided by z?
47
Let w(u) = -41*u + 3719. What is the remainder when w(-25) is divided by 38?
32
Suppose -17*d + 12*d - 40 = 0. Let x = 9 - 2. Calculate the remainder when 13/(12/d*(-2)/3) is divided by x.
6
Suppose -9*p + 36 = 3*p. Suppose -4*l - p*l + 994 = 0. What is the remainder when l is divided by 73?
69
Calculate the remainder when -303*((90/10 - 7) + -3) is divided by 69.
27
Suppose 5*z - 3*z = 3*x + 288, 2*z + x = 272. Calculate the remainder when z is divided by (-1900)/2375*(0 - (-50)/(-4)).
8
Let u be 24/(-18) - 460/(-12). Suppose 5*q = 2*z - u, 2*q - 22 + 2 = -5*z. Calculate the remainder when 55 is divided by ((-261)/z)/((-3)/2).
26
Suppose -r + 734 = r - s, -4*r + 1456 = s. Calculate the remainder when (-8)/(-2*2/18) is divided by 7227/r - 1/(-5).
16
Let s = -224 + 976. What is the remainder when s is divided by 48?
32
Suppose 21 = -2*h - 53. Let f = 85 + h. Suppose 0 = r + 3*r - 72. What is the remainder when f is divided by r?
12
Suppose 28*s - 3005 = -2781. What is the remainder when 56 is divided by s?
0
Suppose 7*p + 19 = -16. Calculate the remainder when 38 is divided by (-104)/p + 20/(-25).
18
Let j(l) = -19*l + 13. Let g(w) = -16*w + 14. Let s(m) = 6*g(m) - 5*j(m). Calculate the remainder when 89 is divided by s(6).
11
Suppose 7*c - 2196 = -1993. Calculate the remainder when 309 is divided by c.
19
Let o = 14883 + -14749. What is the remainder when 357 is divided by o?
89
Let b = 494 + -493. Calculate the remainder when (7 + b)/((-2)/(-9 + 7)) is divided by 4.
0
Let m(q) be the first derivative of -q**3/3 + 8*q**2 - 11*q + 101. What is the remainder when m(10) is divided by 10?
9
Let m = 11817 + -11605. Calculate the remainder when 682 is divided by m.
46
Suppose -307960*z + 307982*z = 264. Calculate the remainder when 1 - 1 - 41*-2 is divided by z.
10
What is the remainder when ((-24)/32)/((-8)/2592) is divided by 128?
115
Suppose -5*k - 2*k - 7 = 0. Calculate the remainder when 418 is divided by (-58)/116 + (58/4 - k).
13
Let m(q) = 32*q**2 - 57*q - 52. What is the remainder when m(-14) is divided by 27?
25
Let i = 16 + -30. Let w(p) = -p**3 - 15*p**2 - 14*p - 11. Let s be w(i). Calculate the remainder when ((-6)/(-4))/(3/2) - s is divided by 4.
0
Let r(v) = 24*v**2 + 259*v - 113. What is the remainder when r(-14) is divided by 14?
13
Suppose 549 + 61 = 11*h - 556. What is the remainder when 717 is divided by h?
81
Let y(v) = 2*v**2 + 9*v - 7. What is the remainder when y(-8) is divided by 10*(9 + -8 + 4 + -4)?
9
Let j = -111 - -989. Calculate the remainder when j is divided by 147.
143
Let y = 684 + -681. Suppose -4*n + 8*n - 12 = 0. Calculate the remainder when y is divided by n.
0
Suppose 28*a = -18 + 186. Suppose 11*f + 2*g = 6*f + 42, f + a = -4*g. Let r(y) = 31*y - 3. What is the remainder when r(2) is divided by f?
9
Let v be (-4)/42 + 54318/126. Suppose 511 = 3*j - 4*y, 2*j - 3*y - v = -89. Calculate the remainder when j is divided by 50.
15
Let y be 0/((8 - 5)*-1). Suppose y = 20*d - 17*d - 276. Suppose -d = -5*h + 3. What is the remainder when 52 is divided by h?
14
Suppose 0 = -20*b + 14*b - 8*b + 4676. Calculate the remainder when 663 is divided by b.
329
Let k be 9 + 650/(-70) - (-326)/14. Let p(a) = -4*a + 117. Calculate the remainder when p(k) is divided by 23.
2
Suppose 0 = 5*l + 169 + 111. Let j = l - -18. Let c = j + 57. Calculate the remainder when c is divided by 6.
1
Let j(n) = 5*n + 4*n - 5*n**2 + 0*n + 6 + 7*n**2. Let z be j(-6). Suppose 0 = 3*u - 75 + z. What is the remainder when 33 is divided by u?
16
Suppose 5*j - 5*y = 140, 5*j - 160 = 2*y - y. Suppose r - 15 = j. What is the remainder when 334 is divided by r?
46
Let j be (-2)/11 - (-8188)/22. Suppose j = 6*a - 24. Let r = 25 + a. Calculate the remainder when r is divided by 47.
44
Let b(p) = -p**2 - 5*p - 37. Let c be b(-5). Let o = c + 123. What is the remainder when o is divided by (3 + -2)/((-1)/(-22))?
20
What is the remainder when 42/189 + (-2 - (4816/(-36) - 2)) is divided by 81?
53
Suppose -2*h + 2*l - 48 = 0, 2*l + 32 + 4 = -2*h. Let v = -22 - h. Calculate the remainder when 178/8 - ((-15)/(-12) + v) is divided by 9.
4
Suppose -26*u - 25*u = -23*u - 3108. Calculate the remainder when 3324 is divided by u.
105
Let f(h) = -1552*h + 4794. Suppose -u - 4*u = -l + 29, l - 2*u = 20. Calculate the remainder when f(3) is divided by l.
12
Let j = -76 - -72. Let c be (-72)/96 + 69/j. Let k(p) = p**3 + 19*p**2 + 14*p - 2. Calculate the remainder when k(c) is divided by 37.
33
Let c be (-154)/(-55) - (2 - (-22)/(-10)). Suppose 243 = 7*m - 4*m - 3*i, 2*m = c*i + 167. What is the remainder when m is divided by 11?
10
Suppose 2*s + 1246 = 3*i, -4*s + 1178 = -5*i + 3254. Calculate the remainder when i is divided by 187.
42
Suppose 4*v - 7*v = -12. Suppose -4*p + v = -3*p. Suppose -p*y + 2*y = -126. Calculate the remainder when y is divided by 22.
19
Let u(b) = -4*b + 4. Let f = 49802 - 49791. Calculate the remainder when u(-6) is divided by f.
6
Let f(k) = k**3 - k**2 + 10*k + 6. Let a be f(7). Suppose 6 = 8*c - a. Calculate the remainder when 184 is divided by c.
43
Let r = 4 - -11. Let b be ((-6)/4*1)/((-2)/1188). Suppose b = 16*x - 1493. What is the remainder when x is divided by r?
14
Suppose 5*p + 3378 - 1127 = z, 4*z - 9204 = -5*p. Calculate the remainder when z is divided by 1142.
7
What is the remainder when 1569 is divided by (16 - 3) + (-48)/(17 + -11)?
4
Suppose -9*j + 5*j = -r - 15, -5*j = -4*r - 16. What is the remainder when 12/(-8)*(j + -102) is divided by 32?
19
Calculate the remainder when 676 is divided by 15/(-35) - (-11835)/(-21)*(-38)/95.
1
Let c = 28 - 22. Let m be 543/18 - 1/c. Suppose m = 15*v - 10*v. What is the remainder when v is divided by 4?
2
What is the remainder when 1188 is divided by (-170)/(-15) + 26/39 - -5?
15
Let l = 30 - -18. Suppose -33*i = -30*i - t - l, -28 = -2*i + 2*t. Let d = -1 + 6. What is the remainder when i is divided by d?
2
Suppose 2*t + 75 = 5*n, 7*n + 3*t = 9*n - 30. Let m(x) = -39*x + 19. Calculate the remainder when m(-6) is divided by n.
13
Let r be (-4 + 2)/((-550)/555 - -1). Let p = r + 226. Calculate the remainder when 5 is divided by p.
1
Calculate the remainder when -2*2*(-4 - (-440)/(-32)) is divided by 17.
3
Suppose w - 104 = -177*f + 174*f, -162 = -5*f + 4*w. What is the remainder when 534 is divided by f?
24
Suppose 0 = -4*g - 4*c + 384, -5*g + 5*c + 440 = 2*c. Let d(x) = -x**3 - 4*x**2 - 5*x + 3. What is the remainder when g is divided by d(-4)?
22
Let s(i) = 2*i + 22. Let n be s(22). Suppose 0 = -36*l + n*l - 1170. What is the remainder when l is divided by 22?
17
Let u(v) = v**2 - 44*v + 308. What is the remainder when u(40) is divided by 77?
71
Let i(p) = 17*p. Let s(f) = -2*f**2 + 79*f - 8. Suppose -3*w + 6*h = 5*h - 116, 10*w - 386 = 4*h. What is the remainder when s(w) is divided by i(1)?
14
Suppose 58*s = 4*g + 53*s + 17, 2*g + 5*s = 59. Suppose -w = w - 6. Suppose -6*i + 3*i + 54 = w*b, -5*i + 10 = b. What is the remainder when b is divided by g?
6
Let c(d) be the third derivative of 23*d**4/24 - 11*d**3/2 + 4*d**2. Calculate the remainder when c(2) is divided by 7.
6
Let z = -258 + 150. Let b = -82 - z. Suppose -9*i + 55 = -b. What is the remainder when 88 is divided by i?
7
Suppose 221*p - 207*p - 406 = 0. Calculate the remainder when 171 is divided by p.
26
Let k = 3225 + -3216. Calculate the remainder when 6551 is divided by k.
8
Suppose 138*q - 40 = 133*q. Let b be q/(-68) - 276/(-34). Let j(l) = -l**2 + 7*l + 27. What is the remainder when j(b) is divided by 10?
9
Let i(z) = 4*z - 250*z**3 - 4 - 13 + 249*z**3. Calculate the remainder when i(-7) is divided by 30.
28
Let l(w) = -w**3 + 16*w**2 - 6*w + 1. Let a 