emainder when 530/(-15)*(-34 - -16) is divided by 5.
1
Let w be ((-1168)/32)/(0 - (1 - (-6)/(-4))). Suppose 530 = 7*n - 2*n. Let v = w + n. What is the remainder when 131 is divided by v?
32
Let g = 13756 - 11459. What is the remainder when g is divided by 19?
17
Suppose -3*o - a = -300, 19*a + 3 = 18*a. Calculate the remainder when o is divided by 4.
1
Let h = -4744 + 4746. What is the remainder when 78 is divided by h?
0
Let o(t) = 7*t + 3*t**2 - 9 - 23*t**3 + 9 - 5*t. Let k be o(-1). Suppose 2*y - 2 = k. What is the remainder when 115 is divided by y?
11
Let s be (-104)/39*6/(-4). Suppose 0*w + s*w - 936 = 0. Suppose -6*y - w + 1296 = 0. What is the remainder when y is divided by 18?
15
Let p(z) = z + 84. Suppose 5*m = -364 - 221. Let r = -95 - m. Calculate the remainder when p(0) is divided by r.
18
Let y = -39 - -83. Let z be 229/7 + 5/(140/8). Suppose -3 = b + 3*v, -2*b = -5*v - 5 - z. What is the remainder when y is divided by b?
8
Calculate the remainder when 54 is divided by (-10 + -18)*-1 - 3.
4
Let p = 97 - 93. Suppose d = 12*h - 11*h + 111, p*d - h - 429 = 0. Calculate the remainder when d is divided by 9.
7
Let n(q) = -2*q**2 - 5*q + 9. Let f be n(9). Calculate the remainder when 261 is divided by (-12)/24 + f/(-4) - -4.
49
Suppose 774 = 5*j + 180 - 1546. What is the remainder when j is divided by 56?
36
Suppose -4*q - q = -90. Let v = q - -45. Calculate the remainder when v is divided by 6/(19*(-15)/(-760)).
15
Suppose 0 = -3*c - c + 72. Let k(p) = 856*p - 3214. Calculate the remainder when k(4) is divided by c.
12
Suppose -3*n - 5*x + 1251 = 0, 80*n + 848 = 82*n + x. Calculate the remainder when n is divided by 23.
13
Let l = -498 - -1251. Let n be 4*2/1 - 3. Suppose -5*u = -3*t + l, -3*u = 4*t - n*t + 247. Calculate the remainder when t is divided by 37.
34
Let x(y) = -y + 6. Let n be x(17). Let s(q) = -q**3 - 11*q**2 - 12*q - 40. Calculate the remainder when s(n) is divided by 16.
12
Let z = 28198 + -25412. Calculate the remainder when z is divided by 41.
39
Let m = 244 - 195. Calculate the remainder when (-170)/20 - -9 - 774/(-4) is divided by m.
47
Suppose 4*k + 0*k = -12, -3*k + 35 = 4*z. What is the remainder when z is divided by -2*((-10)/(-20) + -6)?
0
Let x(d) = d**3 - 18*d**2 + 19*d - 5. Let g be (-6)/14 + 8 + 330/35. What is the remainder when 0 + 115 + -1 + -1 is divided by x(g)?
26
Suppose -5*a + 14*t = 17*t - 155, -7*a + 176 = -4*t. What is the remainder when 238 is divided by a?
14
Suppose 5*m + 54 = 23*m. Suppose -4*u + 7*u + m = 0. Calculate the remainder when u/((-3)/(-282)*-2) is divided by 12.
11
Let l be -3 + 4 + (-180)/(-4). Let z = l - 28. What is the remainder when 45 is divided by (0 + z)/(2 - (-4)/(-8))?
9
Let w be ((-6)/(-15))/((-5)/(-1125) + 0). Suppose -w + 94 = b. What is the remainder when 81 is divided by b?
1
Let r(a) = -48*a - 1. Let q = 11 - 13. Suppose 52 = -v + 68. Calculate the remainder when r(q) is divided by v.
15
Suppose -11*q + 85 = -47. Calculate the remainder when ((-6)/12)/(1/(-76)) is divided by 5/10 + (-2)/(q/(-33)).
2
Suppose -3*r + 24 + 9 = 0. Let s = -141 + 167. Calculate the remainder when s is divided by r.
4
Suppose 0 = 211*s - 213*s + 9570. Calculate the remainder when s is divided by 38.
35
Let s(m) = -m**3 + 4*m**2 + 2*m + 5. Let g be 6 + -4 + (-4 - 1) + 957. What is the remainder when s(4) is divided by (3/2)/(159/g)?
4
Suppose 2*s = l + 37, 181*s - l + 59 = 185*s. Calculate the remainder when 282 is divided by s.
10
Suppose -16*y + 13924 - 7716 = 0. Calculate the remainder when 919 is divided by y.
143
Suppose 2*p - 5*v - 71 = 313, -5*p - 3*v = -960. Let s = 202 - p. Calculate the remainder when 23 is divided by s.
3
Calculate the remainder when 94 is divided by ((-2)/(-32))/((-201)/(-3216)).
0
Suppose 1042 + 2206 = 7*w. What is the remainder when w is divided by 28?
16
Let p = 2596 + -1943. What is the remainder when p is divided by 27?
5
What is the remainder when (219 - 1 - (-19 + 25))/1 is divided by 111?
101
Let f(m) = -20*m + 230. What is the remainder when f(-73) is divided by 19?
18
Let g = 120 + -122. Let r = g + 30. What is the remainder when 102 is divided by r?
18
Let t(p) = 16*p**3 + 3*p**2 - 4. Calculate the remainder when t(2) is divided by 142/6 + (-14)/21.
21
Suppose 917*n - 208 = 865*n. Calculate the remainder when 2329 is divided by n.
1
Let p(d) = 17*d + 683. What is the remainder when 77 is divided by p(-39)?
17
Suppose 41 - 49 = -2*d. Suppose 0 = -d*i - i + 85. What is the remainder when 29 is divided by i?
12
Suppose 150748 = 471*v + 56548. What is the remainder when v is divided by 86?
28
Suppose -q - 16 = 5*c - 0*q, 2*q = -2*c - 8. Let n be (-6)/9*6 - c. Calculate the remainder when 19 is divided by n*3 + (-16 - -24).
4
What is the remainder when 1182*(4/18)/((-70)/(-630)) is divided by 23?
18
Let r(m) = -m**2 + 43*m - 267. What is the remainder when r(18) is divided by 38?
31
Let b = 27614 + -27598. What is the remainder when 3166 is divided by b?
14
Let f(m) = -m**3 + 9*m - 3*m + 50*m**2 + 11 - 19*m**2 - 27*m**2. What is the remainder when f(-5) is divided by 21?
17
Suppose 2056 - 5727 = -2*q + 3881. What is the remainder when q is divided by 84?
80
Let n(g) = -4*g + 350. What is the remainder when n(-92) is divided by 105?
88
Let t be 2*90/36*313/(-5). Let j = t - -323. Let o(y) = 5*y - 1. Calculate the remainder when o(7) is divided by j.
4
Let q(u) = u**2 - 11*u + 17. Let y be q(7). Let i = 8 + y. What is the remainder when (5/(-2) - i/(-2)) + 51 is divided by 25?
22
Let l = 8197 + -7972. Suppose -2*w - 5*i = -29, 4*w - 75 = w + 3*i. Let q = w - -35. Calculate the remainder when l is divided by q.
54
Let z = 19459 + -19365. Calculate the remainder when 3099 is divided by z.
91
Let a be 1/(-3 + 5 - 1). What is the remainder when (16/12)/(8/60) is divided by 7 + a/(-1)*3?
2
Let c(f) = f**3 + 12*f**2 - 16*f - 167. Calculate the remainder when 510 is divided by c(-11).
120
Suppose 3*y - 4*r = 343, -64*y + 5*r = -67*y + 334. Calculate the remainder when 891 is divided by y.
100
Let r(z) = 56*z**2 + 15*z - 20. Calculate the remainder when r(4) is divided by 79.
67
Suppose -946*g = -973*g + 128466. What is the remainder when g is divided by 40?
38
Calculate the remainder when 1*2796*(-4 - (-225)/54) is divided by 43.
36
Let u = -46 - -55. Suppose 4*d - 3*k - 42 = 0, d = -u*k + 4*k - 1. Calculate the remainder when 25 is divided by d.
7
Let b(i) = -i**3 - 45*i**2 - 504*i + 55. What is the remainder when -4*(-2 - 3) - -2 is divided by b(-23)?
4
Let t be ((-4)/(-6))/((-46)/(-69)). Suppose 8*v = -6*v + 728. What is the remainder when -18 + 173 - 2*t is divided by v?
49
Let q(d) = d + 5. Suppose 145 - 985 = -20*a. What is the remainder when a is divided by q(-3)?
0
Let j(m) = -m**2 - 11*m + 1. Let p = -22 + 34. What is the remainder when j(-8) is divided by p?
1
Let n be 8/28 + (-178)/(-14). Let p(v) = -v**2 + 15*v - 26. Let j be p(n). Suppose -5*b + 88 + 312 = j. Calculate the remainder when b is divided by 21.
17
Let q(h) = h**3 + 7*h**2 + 13*h + 5. Let x be q(-4). Let z(b) = -89*b**2 + 2 - 8*b + 93*b**2 - x + 2. Calculate the remainder when 104 is divided by z(4).
34
Suppose -15*y + 43*y + 14*y - 38430 = 0. Calculate the remainder when y is divided by 227.
7
Suppose 4*p + 127 - 1419 = -6*b, -b = -3*p - 208. What is the remainder when b is divided by 9?
7
Suppose 0 = -313*t + 15744 + 19938. Calculate the remainder when 3985 is divided by t.
109
Let j(s) = s**3 + 4*s**2 - 3*s. Suppose -3 = 7*z - 17. Suppose z*l - 132 = -2*l. Calculate the remainder when l is divided by j(-4).
9
Suppose -2*a + 2*i - 473 = -3*a, -10 = 5*i. Suppose a = -4*g - 0*g + s, 599 = -5*g + 4*s. Let k = g - -122. Calculate the remainder when 20 is divided by k.
2
Let p(i) = -i**3 + 62*i**2 - 54*i + 97. Calculate the remainder when p(61) is divided by 88.
84
Calculate the remainder when 41 - -1*24/(156/(-13)) is divided by (2 + -1 + 1)*10.
19
Let s be (-4)/3 + 3 + 64/(-24). What is the remainder when s/((-6)/390) + -5 is divided by 9?
6
Suppose 0 = 5*j + 2*k, -2*j + j + 17 = -3*k. Suppose -72 = -3*c - 0*c - j*h, 103 = 4*c + 5*h. What is the remainder when 52 is divided by c?
8
Let b(o) = o. Let z(v) = 2*v + 8. Let c(g) = 3*b(g) - 3*z(g). Let t be c(-8). Let p = 13 - t. Calculat