 g = -170 + u. Calculate the remainder when g is divided by 18.
15
Let b be (-662)/(-2*(-6 + 44/8)). Let g = b - -706. Suppose -2*y + 79 = 5*r, 5 = 4*r + 3*y - 54. What is the remainder when g is divided by r?
10
Suppose -3*m + m - z = 302, -5*m + 2*z - 764 = 0. Let i = 173 + m. What is the remainder when 164 is divided by i?
17
Let f(h) = -h**3 - 5*h**2 + 24*h + 9. Suppose -34 = z - 2*c, -5*z + 0*z - 3*c = 131. Let r = 42 + z. Calculate the remainder when r is divided by f(-8).
5
Let t(i) = i**2 + 14*i - 9. Let v be t(-8). Let w = v + 59. Calculate the remainder when -127*(0 + (1 - 0 - w)) is divided by 26.
23
Calculate the remainder when ((-1)/3)/(((-209)/(-2706))/(-19)) is divided by 21.
19
Suppose 2 + 4 = 3*p. Suppose -93 = -3*z + 3*k, -p*z - k = 3*z - 173. Let g(t) = 5*t**3 - 5*t**2 + t + 6. What is the remainder when g(3) is divided by z?
31
Suppose 28*p - 22392 = 45*p - 35*p. Calculate the remainder when p is divided by 1237.
7
Let a = -11 - -16. Suppose -4*b - 13 = -d - 1, a*b + 59 = 4*d. Let s(q) = 20*q. Calculate the remainder when s(3) is divided by d.
12
Suppose -11*r - 31*r = -72*r + 510. What is the remainder when 101 is divided by r?
16
Suppose -3*r = -4*k + 145, -r = 3*k + 128 - 214. Calculate the remainder when 59 is divided by k.
28
Suppose -9*m - 168 = -5*y + 128, -3*y + m + 182 = 0. Let k = 41 - 0. Calculate the remainder when y is divided by k.
20
What is the remainder when (-4)/(-6)*(19 + -14 + -8) + 73 is divided by 35?
1
Let n(z) = z**3 - 31*z**2 - 594*z + 26. What is the remainder when n(45) is divided by 27?
26
Let s = -11731 + 11750. Calculate the remainder when 351 is divided by s.
9
Let i(b) = 25*b**3 + b**2. Let p(c) = 389*c + 14103. Calculate the remainder when p(-36) is divided by i(1).
21
Let u be 33*(-5)/(-15) + -3. Suppose -96 = -u*d - 0*d. What is the remainder when (1*6*-1)/(82/(-615)) is divided by d?
9
Let g = -3242 - -3265. What is the remainder when 574 is divided by g?
22
Suppose 2*u = 81*x - 85*x + 2110, -4*u - 5*x = -4235. What is the remainder when u is divided by 274?
243
Let p be ((-6)/4)/(45/(-30)). Let w = p - -3. Calculate the remainder when (-39 + 0)*(3 - 4) is divided by w.
3
Let r = 16 - -2. Let a = -20 + r. What is the remainder when 5 is divided by (1 + (-4)/a)/(-4 - -7)?
0
Let w be (-6 + 2)*8/(-16). Suppose 2*t - w*b - 34 = 0, -4*b - 82 + 32 = -3*t. Calculate the remainder when 120 is divided by t.
12
Let t = 3779 - 3775. Let q(n) = -5*n - n**3 + 21 - 10 + 3*n**3 - 5*n**2. Calculate the remainder when q(t) is divided by 22.
17
Let r = -13 + 3. Let j = 23 - r. Let s = -19546 + 19565. What is the remainder when j is divided by s?
14
Calculate the remainder when 95 is divided by 47 + (30 - 24) + 3*-1.
45
Suppose 417 = 4*k + 57. Suppose -2*m + 220 = 226, 0 = 3*g - 2*m - 807. What is the remainder when g is divided by k?
87
Suppose -5*p = 2*z + 2*z - 644, 2*p - 276 = 3*z. Calculate the remainder when p is divided by 21/7 + (47 - ((-28)/(-7) + 0)).
40
Let u = -28 + 28. Suppose w + 3*w - 34 = -5*k, 3*w + 4*k - 26 = u. Suppose v = -y + 18, y = w*y + 4*v - 86. What is the remainder when 54 is divided by y?
12
Let t(r) = -r**3 + 27*r**2 + 38*r - 6. Calculate the remainder when t(28) is divided by 6/(-10) + (-236)/(-10).
21
Suppose 527 = 9*s + 8*s. What is the remainder when 150 is divided by s?
26
Let u(d) = d**3 - 2*d + 6. Calculate the remainder when (-618 - -612)*((-23)/5 - (-6)/(-15)) is divided by u(0).
0
Let x = -26 + 16. Let l(w) be the first derivative of -2*w**2 - 19*w - 903. What is the remainder when 31 is divided by l(x)?
10
Calculate the remainder when (-3)/(-6)*-2157*1/(-9)*6 is divided by 273.
173
Let n be 61404/56 - 2/4. Suppose n + 89 = 5*d. What is the remainder when d is divided by 14?
13
Suppose 6*j - 160 = 4*j. Suppose 6*b - 868 - j = 0. Let x(v) = v**2 + 15. Calculate the remainder when b is divided by x(-5).
38
Let w(o) = 135*o**2 + 3*o + 2. Suppose 89 = -3*x + 5*y, 0*x - 4*y - 136 = 5*x. Let p = 6 - x. What is the remainder when w(-1) is divided by p?
32
Suppose -f = 2*f + 2*a + 4, -2*f + 5*a = 9. Let r(b) = -13*b**3 - b**2 + b + 6. Calculate the remainder when r(f) is divided by 53.
51
Suppose -134*f - 5568 = -163*f. What is the remainder when 467 is divided by f?
83
Let w be 13 + 0 - 7 - 18. Calculate the remainder when 14 is divided by (-4*2/w)/((-15)/(-90)).
2
Suppose -109*l = -583 - 2360. Calculate the remainder when (-10 - (1 + -4))*-73 is divided by l.
25
Let l(x) = x**3 - x**2 - x - 2. Let g be l(2). Suppose g + 12 = 2*b. What is the remainder when 69 + (b/(-15))/((-2)/(-10)) is divided by 14?
11
Suppose -74889 = -335*v - 4204. What is the remainder when 1475 is divided by v?
209
Suppose -155*v - 168115 = -684575. What is the remainder when v is divided by 33?
32
Suppose 2*n - 32*w - 2664 = -34*w, 5*n - 3*w = 6660. Calculate the remainder when n is divided by 36.
0
Suppose -316 = -4*w + 3*q, -299 = -4*w + q + 17. What is the remainder when 377 is divided by w?
61
Let s = 4451 - 4407. Calculate the remainder when 874 is divided by s.
38
Let q(p) = -6 + p + 47 + 30. Let t(o) = o**2 - 18*o - 40. Let i be t(20). Calculate the remainder when q(i) is divided by 37.
34
Suppose u - 5*c + 1 = 3*u, 0 = c - 1. Calculate the remainder when 118 is divided by (17 - 10)/(u/(-10)).
13
Let i be 2*(2 + -1) + -2. Suppose 20 = 4*x, w + 11 = -i*w + 3*x. Let a = -43902 + 43908. Calculate the remainder when a is divided by w.
2
Let h = -108 - -124. Let l(f) = f**2 - f + 1. Let x be l(2). Suppose x*t - 99 = 75. Calculate the remainder when t is divided by h.
10
Let g be ((-36924)/(-10))/(32/(-160)). Calculate the remainder when g/(-85) + 12/15 is divided by 22.
20
Suppose -27*i = -30*i + 30. What is the remainder when (-8)/60 - 2288/(-60) is divided by i?
8
Let b(x) be the second derivative of -29*x**3/6 - 21*x. Let t(y) = y. Let h be t(-1). What is the remainder when b(h) is divided by 10?
9
Suppose -3 = h - 14. Let r(y) = -29*y**3. Suppose -10 = 2*g + 2*l + 2*l, -2*g - 3*l - 8 = 0. Calculate the remainder when r(g) is divided by h.
7
Let y = 226 + -228. What is the remainder when (-264)/(-3) + (1 + -2)*y is divided by 32?
26
Let h(s) = 48*s**3 + 2*s**2 + s - 7. Let d(t) = t. Let o be d(2). What is the remainder when h(o) is divided by 6?
3
Suppose 2*n - 2 + 0 = -2*b, 4*b = 5*n + 31. What is the remainder when 122 is divided by n + 46 + (3 - 15/5)?
36
Let k(l) = l**3 - 57*l**2 + 427*l + 252. Suppose -86 = -4*v + 3*i, 3*i = 2*i + 2. What is the remainder when v is divided by k(48)?
11
Let l be (-14)/(-42) + (-11)/(-3). Calculate the remainder when 734*14/112 + (-3)/l is divided by 39.
13
Suppose 20*z - 18*z = -46. Let b = 5 - z. Let w = 49 - b. Calculate the remainder when 40 is divided by w.
19
Suppose -140*h = 74*h - 4922. What is the remainder when 8209 is divided by h?
21
Suppose -332*g + 323*g - 144 = 0. Let c = 25 + -62. Let k = g - c. What is the remainder when 54 is divided by k?
12
What is the remainder when 720/9 - ((-34)/(-10) + (-4)/10) is divided by 67?
10
Let g = 19568 - 19444. What is the remainder when 5083 is divided by g?
123
Suppose 2*z = 5*z - 3*w - 60, 12 = -4*w. Suppose 33*m - 40 = 38*m. Calculate the remainder when m/(-12)*-2*-48 is divided by z.
13
Suppose l - 24 = -5. Calculate the remainder when 53 is divided by l.
15
Suppose 159 = 5*s + 3*y, -666*y = 3*s - 670*y - 78. What is the remainder when 144 is divided by s?
24
Suppose 0 = 3*t + b - 85, 4*b = -2*t + b + 45. Let x(s) = -s**3 - 7*s**2 - 11*s. What is the remainder when t is divided by x(-5)?
0
Suppose -2*z + 6*a + 404 = 3*a, -a = -5*z + 1010. Calculate the remainder when z is divided by ((-576)/(-20))/((-129)/(-30) - 4).
10
Let m be 4*5/(-20)*-2 + 30. Suppose -8 + m = 4*q. Calculate the remainder when 29 is divided by q.
5
Suppose -12*v - 174 = -15*v. Suppose 2*y = -10 + 2, 2*b = -2*y - v. Calculate the remainder when b/2*16/(-8) is divided by 4.
1
Suppose -5*d = -31 + 21. Suppose 2*v = -d, -3*v - 58 = -3*o - 2*o. What is the remainder when 74 is divided by o?
8
Let i(r) = r**2 - 7*r - 9. Suppose -4*x + 22 = -18. Let g be i(x). Suppose 2*z - 3*n - g = 34, -67 = -2*z - n. Calculate the remainder when 159 is divided by z.
31
Let k(d) = d + 4. Let g be k(-2). What is the remainder when 52 is divided by (-50