emainder when w is divided by ((-6)/v)/((-4)/(-60)) - 3?
1
Suppose -137*f + 146*f = 414. What is the remainder when 100 is divided by f?
8
Suppose 18*h - 22*h - 116 = 0. Let f = h - -73. What is the remainder when 173 is divided by f?
41
Let h be 1/(-1) - (-3)/1. Suppose -8*c - 3*c = -132. Suppose -c = -4*j + h*j. What is the remainder when 10 is divided by j?
4
Suppose 0 = 3*k + 5*a - 84, -5*k = 2*a - 3*a - 168. Let z be (-3 + 1 + -3)/(-1). Calculate the remainder when k is divided by -18*(z - 2 - 4).
15
Suppose 41*t - 2086 = 5171. Calculate the remainder when t is divided by 10.
7
Let r(x) = -9*x - 7. Suppose p + p + 6 = 0, -w + 10 = -4*p. What is the remainder when r(-3) is divided by w - (27 - 0)/(-3)?
6
Let k(t) = t**3 + 11*t**2 - 10*t + 9. Let o be k(-12). Let h(r) = -2*r - 19. Let g be h(o). Suppose g + 25 = l. What is the remainder when l is divided by 13?
10
Let r be (5/(-3))/(5/(-255)). Let w = r + 14. Suppose 0 = -n - 2*n + h + w, 2*h + 33 = n. What is the remainder when n is divided by 9?
6
Let r(m) = 4*m + 3. Suppose 3*n = -4*x + 36, 443*x - 441*x - 24 = -3*n. What is the remainder when r(3) is divided by x?
3
Let i(s) = s + 14. Calculate the remainder when 87 is divided by i(-4).
7
Suppose 8 = -5*b + 18. Suppose 0 = -b*g + 4, 4*v + 2 = 4*g - 5*g. What is the remainder when v*93*2/(-6) is divided by 8?
7
Let v(h) = h**2 - 24. Let x(r) = -5*r**2 + r + 120. Let i(t) = 11*v(t) + 2*x(t). What is the remainder when i(-9) is divided by 7?
4
Let b(l) = 8*l + 21. Let v be b(-6). Let m = v + 20. Let i = m + 10. What is the remainder when 13 is divided by i?
1
Let k = 438 + -265. Suppose -j = 3*l - k, -2*j = -5 + 13. Calculate the remainder when l is divided by 21.
17
Let h(n) be the second derivative of n**4/3 + 19*n**3/6 + 5*n**2 - 7*n. Let b(t) = 7*t**3 - t**2. What is the remainder when h(-5) is divided by b(1)?
3
Let k(y) = -24*y - 1. Let d be k(1). Let m = -24 + 24. Let t = m - d. What is the remainder when t is divided by 13?
12
Suppose 0 = -3*t + 2*t + 36. Suppose -d + t = d + w, -w + 4 = 0. Suppose -4*k = 5*g + 2 - 8, -2*k = -4*g - d. What is the remainder when 7 is divided by k?
3
Let g(c) = -2*c**3 - 31*c**2 - 17*c - 6. Let u be g(-15). Suppose 5*b - 16 = u. What is the remainder when 39 is divided by b?
7
Let t(v) = 24*v**2 - 68*v**2 + v - 3 + 26*v**2 + 20*v**2. Let s = 17 + 15. What is the remainder when t(-6) is divided by s?
31
Suppose 234*f - 1065 = 219*f. Calculate the remainder when 345 is divided by f.
61
Suppose -3*n - 2*g = -7*n + 20, -4*n + 20 = -g. Let d(i) = 5*i - 13. Calculate the remainder when 46 is divided by d(n).
10
Let w = -1110 - -1173. Calculate the remainder when 879 is divided by w.
60
Calculate the remainder when 33 is divided by (-14)/(-1) - (-6 - (-7 - -2)).
3
Let s(t) = 25*t - 94. Calculate the remainder when s(8) is divided by 27.
25
Suppose -4*w - 7 = -2*b - 43, -3*b - 3*w = 9. Calculate the remainder when ((-112)/20)/((-4)/50) is divided by (b/10)/(16/(-360)).
16
Suppose 3*k + 108 = 21*k. Let u = -8 - -13. Suppose -53 = -u*m + 22. What is the remainder when m is divided by k?
3
Suppose 3*u = 4 + 8. Suppose u*g + 45 - 205 = 0. Suppose 4*z - 17 = 5*x - 104, -2*x + g = z. What is the remainder when 36 is divided by x?
17
Let w = 24 - 13. Let c = w + -13. Let l = c - -23. What is the remainder when l is divided by 8?
5
Let z(m) = -50*m - 40. Calculate the remainder when 83 is divided by z(-2).
23
Let y(s) be the second derivative of 0 - 4*s**3 + 7/2*s**2 - 10*s. What is the remainder when y(-3) is divided by 20?
19
Let k = 7 + -3. Let o(m) = -6*m**3 - m**2 + 6*m + 1. What is the remainder when k is divided by o(0)?
0
Suppose -9*t + 1650 = 24*t. What is the remainder when t is divided by 29?
21
Suppose -4*j = -64 + 40. What is the remainder when 12 is divided by (-10)/15 - (-28)/j?
0
Suppose 121*f - 115*f - 24 = 0. Calculate the remainder when 4/(-14) + (-368)/(-14) is divided by f.
2
Let j(r) = 21*r**2 - r + 1. Calculate the remainder when j(1) is divided by 2/(-2)*2*-4.
5
Suppose 3*x + 2*n = 16, 0*x - 4*n + 20 = 4*x. Let k = -85 - -97. What is the remainder when (5/3 + (2 - 2))*k is divided by x?
2
Let c be -1 + (82/4)/(10/(-20)). What is the remainder when ((-48)/c)/4 - (-264)/7 is divided by 13?
12
Let y = 44 - 20. What is the remainder when 141 is divided by y?
21
Let l(m) = -2*m + 13. Let n(a) = a - 12. Let b(w) = -3*l(w) - 4*n(w). Let i be b(8). Let f = i - 21. Calculate the remainder when 5 is divided by f.
1
Let c = 8 + -4. Suppose o = 2*o - c. What is the remainder when 13 is divided by o?
1
Let x(y) = 4*y**2 - 3*y + 1. Let l be x(3). Let w = l - 192. Let u = -81 - w. Calculate the remainder when u is divided by 28.
27
Suppose -12 = 2*w - 136. Calculate the remainder when w is divided by (-6)/24 + 6/((-48)/(-170)).
20
Let n(o) = -o**2 + 3*o + 2. Let m be n(2). Suppose -m*d + 26 = -2*p - 62, 3*p + 66 = 3*d. Suppose g + d = 79. Calculate the remainder when g is divided by 12.
9
Suppose 3*h + 4*z - z - 9 = 0, -5*z = 5. What is the remainder when h/10 - (579/(-15) - -2) is divided by 24?
13
Suppose 0 = -21*d + 10*d + 407. Calculate the remainder when 98 is divided by d.
24
Calculate the remainder when 38*((-450)/(-20))/9 is divided by 60.
35
Let n(x) = -2*x + 15. Let g be n(6). Suppose g*q + 4*u = 208, -5*q - u - u + 342 = 0. Calculate the remainder when q is divided by 24.
20
Calculate the remainder when 1909 is divided by (-7)/((-4)/6 - (-110)/210).
47
Calculate the remainder when 310 is divided by -5*6/(-70) - 176/(-14).
11
Let n = 11 - 13. Let y(u) = -19*u + 3. What is the remainder when y(n) is divided by 14?
13
Let p(u) = 11*u - 73. What is the remainder when 55 is divided by p(8)?
10
Let a(f) = 3*f**2 - 19*f + 6. Let m be a(6). Let b = -8 - -20. Suppose m = 3*x + b, 0 = -2*z + 3*x - 5*x - 2. What is the remainder when 11 is divided by z?
2
Suppose 5*k + h - 113 = 0, -2*k + 52 = 5*h - 7. Let i = k - 7. Calculate the remainder when 16 is divided by i.
1
Let f(o) = -o**3 + 3*o - 11. Let w be 5/(-2)*(7 + -5). Calculate the remainder when f(w) is divided by 34.
31
Let y(z) = -28*z + 173. Calculate the remainder when y(0) is divided by 44.
41
Let k(g) = -g**2 + 3*g - 5. Let t be k(-5). Let r = 27 - t. Calculate the remainder when r is divided by 21.
9
Let u be (-2 - (-188)/12)/(3/36). Suppose -2*g = -b + 47 - 7, -g = -5*b + u. Calculate the remainder when 55 is divided by b.
23
Let z = -15 - -18. Suppose 0*h = -z*h + 84. Let t = -19 + h. What is the remainder when 25 is divided by t?
7
Let l(c) = -93*c + 400. Let v = -10 + 20. Calculate the remainder when l(4) is divided by v.
8
Let g = -8 - -15. Suppose 218 = -g*l + 4*l + 5*r, 5*l = 4*r - 359. What is the remainder when -3 - l - (-4 - -2) is divided by 12?
10
Let x(f) = -f - 48*f**3 + 8*f - 2 - f**2 - 5*f + 4. Calculate the remainder when x(-1) is divided by 25.
22
Let j(c) = -c**2 - 33*c - 7. Calculate the remainder when 236 is divided by j(-30).
70
Suppose 2*b - 11 = -2*a + 3, 0 = 4*a + 5*b - 26. Let l = 40 + -99. Let h = l + 85. Calculate the remainder when h is divided by a.
8
Suppose -19 = -f - 6. Suppose -f*l = -8*l - 125. What is the remainder when l is divided by 15?
10
Suppose -4*v + 672 = 4*y, 7*v + 5*y = 11*v - 645. Calculate the remainder when v is divided by 21.
18
Let h(n) = 93*n**3 - 2*n**2 + 2*n - 1. Calculate the remainder when h(2) is divided by 39.
37
Suppose 4*c - 2*v + 576 = 6*c, -5*c - 3*v = -1446. What is the remainder when c is divided by 21?
18
Let h = -27 - -23. Calculate the remainder when 68 is divided by (7*-1)/(2/h).
12
What is the remainder when 377 is divided by (-1053)/(-11) + 3/11?
89
Let x = 461 - 245. Calculate the remainder when x is divided by 58.
42
Suppose 0 = 12*b - 18*b + 696. Calculate the remainder when b is divided by 39.
38
Suppose 4 = -57*f + 61*f. Let s(p) = -p**2 + 5*p - 3. Let u(x) = x**2 + 2*x + 1. Let a be u(-3). Calculate the remainder when f is divided by s(a).
0
Suppose 3*q - 8 = -q. Suppose 35 = 7*h - q*h. Suppose 49 + 49 = h*j. What is the remainder when j is divided by 3?
2
Let q(j) be the first derivative of j**3/3 + j**2/2 - 3*j + 2. What is the remainder when 3/8 + 1939/56 is divided by q(-4)?
8
Let l = -1546 + 1704. Calculate the remainder when l is divided by 24.
14
Let p = -240 