the remainder when (-18 + -1)/((-38)/152) is divided by 7.
6
Suppose 0 = 2*f + 6, -f + 51 = 3*y + 3*f. What is the remainder when 165 is divided by y?
18
Calculate the remainder when 79 is divided by -2 + (-45)/(-21) - (-640)/28.
10
Calculate the remainder when ((-1479)/87)/(0 + 2/(-42)) is divided by 40.
37
Let a = -32 + 127. What is the remainder when a is divided by 11?
7
Suppose 14*m + 19 = 145. Let w(p) = -p**2 + 13*p - 9. Calculate the remainder when w(10) is divided by m.
3
Let c be 2 - (-3 + 7)/4. Let u be (-8)/(3*c/(-3)). Let h = u + 3. What is the remainder when h is divided by 7?
4
Let n(s) = -4*s**2 + 13*s + 3*s**2 + 5 - 8*s. Let m be n(-5). Let r = 91 + m. Calculate the remainder when r is divided by 8.
6
Let g = -6 + 14. Calculate the remainder when 77 is divided by (-79)/(-4) - (-2)/g.
17
Let t(b) = -b**3 + 6*b**2 - 5*b + 3. Suppose 3*d - 5*d - 14 = 0. What is the remainder when (d - -13)*(-4)/(-3) is divided by t(5)?
2
Let t be (-15)/(-10)*(-8)/(-3). Suppose -2*s + 5*s = t*u + 23, 5*u + 25 = 0. Calculate the remainder when 1 is divided by s.
0
Let m(i) = 41*i + 289. What is the remainder when 35 is divided by m(-7)?
1
Let p = -305 + 453. What is the remainder when p is divided by 49?
1
Let f(j) = 2*j**2 - 3*j + 1. Let u(t) = t**2 - 2*t. Let h(m) = 3*f(m) - 4*u(m). What is the remainder when h(-2) is divided by 5?
3
Let p = -198 + 256. What is the remainder when 751 is divided by p?
55
Let k = -950 + 1054. What is the remainder when k is divided by 18?
14
Let u = -33 - -33. Suppose 2*w + 4 + 40 = 3*k, u = -k - 2*w + 12. Calculate the remainder when 68 is divided by k.
12
Suppose -200 = 391*l - 401*l. What is the remainder when 119 is divided by l?
19
Suppose 0 = -19*v + 10*v + 495. What is the remainder when 106 is divided by v?
51
Suppose 0*n + 5*i + 7 = -2*n, 3*i + 6 = -n. What is the remainder when (3 + (2 - 2))*12/n is divided by 3?
1
Let u be ((-74)/(-3))/((-3)/9). Let y = -48 - u. Calculate the remainder when y is divided by 6.
2
What is the remainder when 22 is divided by (8/32 + (-6)/8)*-10?
2
Let a(u) = -u**2 + 9*u - 12. Let o be a(5). Suppose 9*m = o*m + 20. What is the remainder when 117 is divided by m?
17
Let t = 105 + -25. Let a = -42 + t. Calculate the remainder when a is divided by 14.
10
Let j = -1675 - -1901. What is the remainder when j is divided by 19?
17
Let c = 1020 - 1003. Calculate the remainder when 25 is divided by c.
8
Suppose 433 = 8*g - 1175. Calculate the remainder when g is divided by 41.
37
Suppose 5*w - 15 = -g, -12*w = 4*g - 14*w - 16. Calculate the remainder when 52 is divided by g.
2
Let o(k) = -306*k**3 + 2*k**2 + 3*k + 5. What is the remainder when o(-2) is divided by 13?
11
Let k(l) = -l - 6. Let s(w) = -2*w - 11. Suppose 7*p - 7 = 6*p. Let r(v) = p*k(v) - 4*s(v). Calculate the remainder when 5 is divided by r(0).
1
Let j(r) = -r**3 + 12*r**2 - 13*r + 2. Let w be j(9). Let g = 184 - w. Calculate the remainder when g is divided by 30.
26
Suppose 0 = 19*u + 101 - 1450. What is the remainder when 138 is divided by u?
67
What is the remainder when 423/(-2)*(-20)/(-15)*-1 is divided by 13?
9
Suppose -r - 43 = 2*c - 6*c, 0 = 5*c + 5*r - 35. Calculate the remainder when 35 is divided by c.
5
Let f(j) = 3*j**3 - 2 + 6*j**2 + 3*j + 8*j - 3*j**2 - 4*j**3. Let i be f(5). Suppose 14 = i*b - 157. Calculate the remainder when b is divided by 12.
9
Suppose 611 = 8*g + 131. Calculate the remainder when 1199 is divided by g.
59
Let s = 130 + -100. What is the remainder when 208 is divided by s?
28
Suppose -360 = -13*j + 173. Suppose 2*a + 3 = 3*a. Suppose v + 5*b - 19 = 0, -1 = 2*b - a. What is the remainder when j is divided by v?
13
Suppose 2*k + 5*s = 9, -3 = 5*s - 2*s. Let t = -1 + 7. Let l(r) = -r + 10. Calculate the remainder when k is divided by l(t).
3
Let d be 32/14 - (-4)/(-14). Suppose 4*j - 20 = 0, n + 9 = d*n - 2*j. Suppose -5*s + 99 - n = 0. What is the remainder when 26 is divided by s?
10
Let v(t) = t**3 - 11*t**2 - 26*t + 85. What is the remainder when v(15) is divided by 15?
10
Let g(z) be the third derivative of z**4/24 + 5*z**3/2 - 4*z**2. What is the remainder when 15 is divided by g(-7)?
7
Suppose 4*f + 20 = 0, -2*c - 3*f + 1 = -0. Suppose -137 = 10*w + 1273. Let m = w - -171. What is the remainder when m is divided by c?
6
Let i(r) = r**3 - 15*r**2 + 12*r + 34. Let a be i(14). Calculate the remainder when (4/a - (-536)/6)/2 is divided by 4.
1
Suppose 2*y - 41 = 1. Let x(o) = -79*o. Let w be x(-3). Suppose 5*c - 308 = -5*q + 127, 3*q - w = 3*c. Calculate the remainder when q is divided by y.
20
Let i = 16 + -15. Let k be (i*-2)/((-2)/11). Let o = k + 1. Calculate the remainder when 45 is divided by o.
9
Suppose -2*v + 3*v - 5 = 0. Suppose v*w - 8 = 32. Calculate the remainder when 71 is divided by w.
7
Suppose 0 = -z + 2*m - 26, -3*m - 5 + 53 = -2*z. Let h = z + 29. Suppose -5*i - o + 2*o = -93, -5*o - 66 = -4*i. What is the remainder when i is divided by h?
8
Suppose 0 = -125*h + 119*h + 36. Calculate the remainder when (116/(-6))/((-4)/6) is divided by h.
5
Suppose 2*d = -5*f + 103, -2*d + 27*f + 124 = 25*f. Calculate the remainder when 292 is divided by d.
56
Suppose 43 = 4*y - 17. Suppose 5*j = x + 424, -193 = 4*x - 197. What is the remainder when j is divided by y?
10
Suppose 3*u - 475 = 4*p - 77, 3*p + 266 = 2*u. Calculate the remainder when u is divided by 63.
4
Let m = -4 - -7. Suppose -m*b - 1680 = b. What is the remainder when (b/(-4))/3 + 0 is divided by 18?
17
What is the remainder when 157 is divided by 9 - (-14 - 7/(-1))?
13
Suppose 0 = -29*s + 638 - 232. What is the remainder when 67 is divided by s?
11
Let c = -526 - -772. Suppose 27*a - c = 21*a. Suppose -5*l + 2*o = -60, 3*o = -l - 0*o + 29. Calculate the remainder when a is divided by l.
13
Suppose -5*v = -186 - 14. Suppose -3*d + 4*r = 25, 6*d - 5*r + 45 = d. Let k = 25 + d. Calculate the remainder when v is divided by k.
12
Let d(b) = b + 9. Suppose m - 132 = 3*u, 0 = -3*m + m - 5*u + 242. Suppose 7*j = 14*j - m. What is the remainder when j is divided by d(-4)?
3
Suppose 0 = 10*j - 4*j - 126. What is the remainder when 54 is divided by j?
12
Suppose -2*y + 24 = -44. Suppose -3*u - 50 = -6*v - 8, 4*u = -4*v + 28. What is the remainder when y is divided by v?
6
Suppose -4*s + 3*v + 16 = 0, -v = 8*s - 3*s - 20. Suppose -4*z - s*a = a - 39, 3*a - 41 = -4*z. What is the remainder when z is divided by 3?
2
Suppose 840*r = 841*r - 9. What is the remainder when r is divided by 1?
0
Suppose 4*v + 4*r = 52, 28*v + 68 = 33*v + 4*r. Let h(s) = 10*s - 9. Calculate the remainder when h(7) is divided by v.
13
Let m(o) = -13*o - 2. Let l be m(-4). Suppose -28 = -5*h + 2*x + 85, -2*h - 4*x + l = 0. Suppose k - h = 21. Calculate the remainder when k is divided by 23.
21
Let f(p) = p**2 - 15*p + 19. What is the remainder when (15/(-6) + 2)*-14 is divided by f(14)?
2
Suppose -15 = 3*d - 45. What is the remainder when 93 is divided by d?
3
Suppose -55*r + 91 = -48*r. What is the remainder when 71 is divided by r?
6
Let s(g) = -g**3 - 4*g**2 + 3*g. What is the remainder when 15 is divided by s(-5)?
5
What is the remainder when 68 is divided by 39 + (1 - 2 - 2) - 1?
33
Let t = 2 + 1. Suppose -2*y = -t*j - j + 2, -19 = -5*j - 3*y. What is the remainder when 6 is divided by j?
0
Let d(f) = f**3 - 4*f**2 - f + 4. What is the remainder when d(6) is divided by 6*(-33)/55*-10?
34
Let q be (-45)/(-6) + 2/(-4). Suppose 0 = -3*r + 35 + q. Calculate the remainder when r is divided by 3.
2
Let u(o) = -2*o**2 + 12*o - 3. Let f = -27 + 31. Let l be u(f). Suppose -6*c + l*c = 42. Calculate the remainder when 11 is divided by c.
5
Suppose 4*n - 28 = -5*c, -3*n + 44 - 18 = 5*c. Let i(z) = -6 + 3*z**2 + 9*z + 2 - 2*z**2 + n*z. What is the remainder when 14 is divided by i(-12)?
6
Let i(q) = -5*q**2 + 78*q + 38. What is the remainder when i(11) is divided by 73?
72
Let q = -69 + 143. Suppose 5*t = 4*p + q, 2*p + 30 = 2*t - 0*p. What is the remainder when 39 is divided by t?
11
Suppose 63 = -184*g + 185*g. What is the remainder when 311 is divided by g?
59
Suppose 3*u + 5*j = -9, -12*u + 3*j = -10*u - 13. What is the remainder when 49 is divided by u?
1
Let t(l) be the third derivative of l**5/6 + l**4/8 + 19*l**3/6 - 47*l**2. Calculate the remainde