ppose 3*x = 0, -115*x - 150 = -2*v - 119*x. What is the remainder when 4047 is divided by v?
72
Suppose 131*w - 1074 - 2557 + 94 = 0. Calculate the remainder when 354 is divided by w.
3
Let r = 128 + -63. Calculate the remainder when 372/310 - ((-1032)/15 + 0) is divided by r.
5
Let x = -59 + 62. Suppose 106 = 5*z - x*s + 35, 45 = 3*z - 3*s. Suppose z*q - 32 = 5*q. What is the remainder when 9 is divided by q?
1
Suppose -3*h + 71 = -70. Suppose 81*a = 88*a + 763. Let j = a - -117. Calculate the remainder when h is divided by j.
7
Suppose 0 = -z - 2*p + 12, 4*z - 7 = 3*p - 3. Let i be -3*((-8)/6 - -2) - -4. Suppose b - 11 = i. Calculate the remainder when b is divided by z.
1
Let g = 75 - 66. Suppose 5*r = -4*x - 503, 0 = 5*x - 4*r - 130 + 810. Let z = x + 193. Calculate the remainder when z is divided by g.
7
Calculate the remainder when 178 is divided by (37*-2)/(-12*(-18)/(-108)).
30
Let c(x) be the first derivative of 3*x**3 - 15*x**2 + 5*x - 45. Calculate the remainder when 111 is divided by c(4).
24
Suppose 1266 = z + 4*p, -3798 = -3*z - 14*p + 15*p. Calculate the remainder when z is divided by 22.
12
Suppose 0 = -50*q + 10354 + 9696. What is the remainder when 408 is divided by q?
7
Let g(t) = -5*t - 14. Let l(a) = a**2 + 15*a + 52. Let d be l(-8). Let v be 1 + -3 + d - -2. Calculate the remainder when 82 is divided by g(v).
4
Suppose -x = 4, -2*j = j - x - 19. Suppose j*o - 3*h + h + 28 = 0, 2*h + 8 = -4*o. Calculate the remainder when 178 is divided by (9/o)/((0 + -8)/160).
43
Let s(l) = l**3 - l + 5. Let x be s(0). Let n = -532 + 534. What is the remainder when (4/10)/(1/x) is divided by n?
0
Suppose -3*z + 4*z + f - 25 = 0, 4*f + 56 = 2*z. Let v = z + 138. What is the remainder when v is divided by 14?
10
Suppose 0 = -4*l - 2*y + 32, 0 = 3*l + 5*y - 20 - 4. Calculate the remainder when 69 is divided by 27/((5 + (4 - l))*1).
15
Suppose 0 = 5*t + 3*c - 3417, -2301 = -3*t + 5*c - 244. Let g = t - 620. Calculate the remainder when g is divided by 2 + 14 - (1 + -3).
10
Suppose -13*j + 16*j + 11*w = 11302, -4*w - 28 = 0. What is the remainder when j is divided by 29?
23
Calculate the remainder when (-18732)/(-42) + 13/1 is divided by 7.
4
Let f(v) = 2*v**3 + 10*v**2 + 5*v + 5. Let x = -1 - 4. Let m be f(x). Calculate the remainder when 6/((-48)/m - 4/2) is divided by 8.
7
Let j(a) = -4*a**3 + 3*a**2 + 13*a + 6. Suppose -4*p = 5*i + 5 + 6, -7 = i - 4*p. What is the remainder when j(i) is divided by 18?
12
Let j(a) = -a. Let f be j(-4). Suppose -375 - 37 = -f*r. Suppose -5*q + 117 = -4*g, -5*q = -4*q - 5*g - 36. Calculate the remainder when r is divided by q.
19
Suppose -27*c + 22*c - r = -706, -698 = -5*c - 3*r. What is the remainder when 414 is divided by c?
130
Suppose -22*h = -3*h + 76. Calculate the remainder when 33 is divided by (3/h)/(-7 + (-3324)/(-480)).
3
Let l(n) = n + 3. Let r be l(3). What is the remainder when 297 is divided by 20/r*387/86?
12
Suppose -5*c - 17 = 2*w - 0*c, -4*c = -5*w + 40. Let s be 0/w*1/3. Suppose -56 + s = -8*l. What is the remainder when l is divided by 6?
1
Suppose -102*v + 105*v + p = 122, 3*p + 44 = v. Calculate the remainder when 53 is divided by v.
12
Let b = -1306 + 1373. Suppose b*x = 43*x + 192. Calculate the remainder when x is divided by 1 - -1 - (1 + -1).
0
Let k(n) = 21*n**3 - 6*n**2 + 22*n - 55. What is the remainder when k(4) is divided by 14?
7
Suppose 2*d = -5*w + 89, -5*d + 4*w + 233 = 93. What is the remainder when 33 is divided by (d - 26)/(2 - 14/8)?
9
Let v(y) = -2*y + 39. Let s(w) = 2*w - 78. Let m(f) = -4*s(f) - 7*v(f). Let x(j) = 28*j**2 + j + 4. What is the remainder when x(-3) is divided by m(2)?
49
Let k = -4 - 3. Let p(v) = -v**2 - 6*v + 10. Let a be p(k). Suppose -2*z + x + 31 = 0, 0*z + 65 = 4*z - a*x. Calculate the remainder when 96 is divided by z.
12
Let l be 72/(-6)*116/6. Let w = l - -246. Calculate the remainder when 109 is divided by w.
11
Let k = -16 + 40. Suppose 0 = 2*s - 18358 + 18244. Calculate the remainder when s is divided by k.
9
Calculate the remainder when 66 is divided by (-3 - -8) + (-2268)/(-63).
25
Suppose 4*x = -5*y + 81, 2*y = x - 21 + 69. What is the remainder when 941 is divided by y?
17
Suppose 71*k - 3*f = 74*k - 87, -2*f + 12 = 0. What is the remainder when 595 is divided by k?
20
Let i(s) = 6*s**2 + 5*s + 1. Suppose 0*m + 396 = -m + 3*p, -1528 = 4*m + 2*p. Let c = 424 + m. What is the remainder when i(-4) is divided by c?
37
Suppose 8*d = -29*d + 124912. Calculate the remainder when d is divided by 109.
106
Let o be ((-20)/(-8))/5*6. Suppose 3*k + o*q - 26 = 70, 140 = 5*k + q. What is the remainder when 79 is divided by k?
25
Suppose -2*l + 7*l - 215 = 0. Let i(o) = o**2 - 379*o + 2676. What is the remainder when i(7) is divided by l?
29
Let c(h) be the first derivative of h**3/3 + 4*h**2 - 75*h + 53. Calculate the remainder when 175 is divided by c(7).
25
Let l = -17352 - -17374. What is the remainder when 736 is divided by l?
10
Let q(t) = t**2 + 20*t - 901. What is the remainder when 1283 is divided by q(22)?
18
Let u(g) = g**2 - 3*g + 3. Let t be u(3). Let k(m) = -142*m + 8676. Let v be k(61). Calculate the remainder when 25 is divided by v*(8*4/8 - t).
11
Let f = 4045 - 4023. What is the remainder when 86 is divided by f?
20
Let v(q) = q**2 - 13*q + 7. Suppose 3*b + 8 = -t - 4, 5*b + 20 = 2*t. Suppose t = x - 7 + 5. Calculate the remainder when v(14) is divided by x.
1
Suppose w + 2*g = 51, 11*w = 5*g + 15 + 168. Let t = 205 - 145. Calculate the remainder when t is divided by w.
14
Suppose -3149 = 10*n - 3629. What is the remainder when 196 is divided by n?
4
Suppose 0 = 2*x - 0*x - 4. Suppose 0 = -0*t - x*t + 154. Let s(c) = c**3 + 24*c**2 - 223*c - 173. What is the remainder when t is divided by s(-31)?
12
Suppose 2*w - 3*j - 340 = 0, 2*j + j - 680 = -4*w. Let m = w + -97. Calculate the remainder when m is divided by ((-40)/8)/((-1)/3).
13
Let q(j) = 13*j - 17. Suppose -4*s + 46 = 2*u - 4, 3 = u. Let x be -6*(3*1 - s/3). What is the remainder when q(x) is divided by 9?
8
Suppose -q = -5*k + 4*q + 25, -16 = -2*k + 5*q. Let o be ((-1)/5)/((-2)/210). Suppose 9*w - o = 2*w. What is the remainder when w is divided by k?
0
Let n(l) = l**2 - 14*l + 3. Let i be n(8). Let x = 46 + i. Suppose 58 = 3*j + x. Calculate the remainder when j is divided by 11.
8
Suppose 56*x + 457 - 1017 = 0. Suppose 5*v + 55 = 140. Suppose 2*j = -2*s + 64, 95 = 3*j - 3*s + v. What is the remainder when j is divided by x?
9
Suppose -20 = -17*a + 13*a. Suppose 11*q - 10*q = -a. Calculate the remainder when (-61)/(-4) - q/(-20) is divided by 9.
6
Let j(v) = -v**3 - v**2 - 18*v - 176. Calculate the remainder when 3735 is divided by j(-5).
11
Let s = 15348 + -15313. Suppose -5*g + 5 = 4*i - 24, 25 = 2*i - g. Calculate the remainder when s is divided by i.
2
Let r be (-5)/(-15) - 1/(6/(-610)). Suppose -r = -8*t - 14. Suppose 71 = 3*f + t. Calculate the remainder when f is divided by 3.
2
Let i(b) = b**2 + 2*b + 9. Suppose 3*l = -4*w + 18, 2*w - 2*l = -4*l + 8. Let q = 29 - 17. Calculate the remainder when i(w) is divided by q.
9
Let h = -304 - -120. Let t be (-20)/(2 + 3) - h. Suppose -11*d + 491 = -t. Calculate the remainder when d is divided by 21.
19
Suppose -16*n + 16 = -32. Suppose -n*o = -o - 16. Calculate the remainder when 9 is divided by o.
1
Suppose 3*m = 4*w - 4, 0 = 4*m + m - 3*w + 14. Calculate the remainder when (-3 - -5)/((-2)/m) is divided by 3.
1
Let q = 9201 - 8689. Calculate the remainder when q is divided by 7.
1
Suppose x - 4*f = 81 + 71, 0 = -4*x - 5*f + 671. Let a = x + -81. Suppose -121 = -6*y + a. Calculate the remainder when y is divided by 7.
6
Let l(h) = 14*h + 3843. What is the remainder when l(-6) is divided by 171?
168
Let t = -26 + 24. Let l be ((-1484)/21)/((-8)/(-6) + t). Let s = l - 57. Calculate the remainder when s is divided by 13.
10
Suppose 5*d - 415 = -86*y + 81*y, -4*d = 4. Calculate the remainder when y is divided by 24.
12
Suppose -2*s + 3*x = -100, -s + 0*x = x - 55. Suppose q = 82 + s. Suppose z - q = -4*z. What is the remainder when 104 is divided by z?
23
Suppose -w = 0, 2*y - 3*w - 24 = 5*y. Let m = -10 - -24. What is the remainder when 306/12 - ((-20)/y - 2) is divided by m?
11
Suppose -4*s + 190 = 5*p, -15*s + 13*s + 114 