5*a + 4728 = 0. Suppose a = q + 5*z + 276, -3*q = -z - 2638. What is the remainder when q is divided by 14?
13
Suppose -23 + 75 = 4*d. Suppose -5*w + 2*y + 31 = 0, y - 1 + d = 2*w. What is the remainder when -3 - 819/(-12 - 1) is divided by w?
4
Let q(z) = z**2 + 10*z + 19. Let x be q(-8). Suppose 54 = 2*b - 5*r, -51 - 9 = -3*b - x*r. What is the remainder when 150 is divided by b?
18
Let p = -21 + 28. Let y(g) = 8*g - 2. Let x be y(p). Let f = x - 39. What is the remainder when f is divided by 5?
0
Suppose -425 = -74*l + 71*l + 10*f, l - 4*f - 141 = 0. Calculate the remainder when 728 is divided by l.
3
Suppose a - 20 = -2*g, -4*g - 24 - 32 = -4*a. Let v = a - -18. Suppose -4*w + 13616 = 4*p + 13632, -p + 2*w = -23. What is the remainder when v is divided by p?
4
Let v(x) = x**3 + 27*x**2 + 48*x + 53. Let l be v(-25). Suppose -s + l = 97. Calculate the remainder when 34 is divided by s.
4
Suppose 16931 = 64*f - 29071 + 4146. What is the remainder when f is divided by 652?
2
Let n = 4987 + -4908. What is the remainder when n is divided by 27?
25
Suppose -d - 158 + 390 = 0. Let h = -62 + d. What is the remainder when h is divided by (1 + -2 - -48) + 100/(-25)?
41
Let b(g) = 903*g + 2818. Calculate the remainder when 768 is divided by b(-3).
5
Suppose -2 = 2*w, -4*t - 2*w + 141 = w. Let c = t - -21. Let z = c + 41. Calculate the remainder when z is divided by 25.
23
Let i be 8/(-20)*-10 + -3. Let b be (0 - 1)/i + (-4 - -2). Let j(r) = -r**3 + 4*r + 2. What is the remainder when 61 is divided by j(b)?
10
Let p(m) = -5*m**2 + 40*m - 45. Let j(z) = -11*z**2 + 81*z - 90. Let r(n) = -3*j(n) + 7*p(n). What is the remainder when 66 is divided by r(16)?
31
Let q(m) = 240*m + 1617. Calculate the remainder when q(-6) is divided by 102/(-9)*(-18)/8*2.
24
Let j = -1195 - -1207. What is the remainder when 113 is divided by j?
5
Suppose 81 = 5*l + u, -5*l + 0*l + 69 = 4*u. Let j = 5 - 7. Calculate the remainder when 4/(j + (-3 - 468/(-92))) is divided by l.
12
Suppose 1528 = 3*z - 1208. Suppose 0 = -27*k + 8*k + z. What is the remainder when 91 is divided by k?
43
Let l(n) = -10*n - 11. Let j be l(-2). Let h be 975/j + 7/(-21). Suppose 0 = -14*x + h + 4. Calculate the remainder when 13 is divided by x.
5
Let a be (4/(-3))/((-2)/18). Suppose 14*h = 16*h + a. What is the remainder when 116 is divided by (-34)/(-4)*h/(-3)?
14
Calculate the remainder when 2837 is divided by 4 - 0 - 2*(-4 - 37).
85
Calculate the remainder when (-24492)/(-1 + -2) + (-54)/(-99)*11 is divided by 11.
8
Let j(z) = 4*z - 68. Let f be j(14). Suppose 0 = 5*d - 61 - 29. What is the remainder when d is divided by f/20 + 7/(-5) - -14?
6
Let m be 25/(-35) + 1 - (-46)/(-14). Let o(r) = -6*r + 34. Calculate the remainder when o(m) is divided by 30.
22
Let f = 211 + -208. Let s = -27 + 67. Calculate the remainder when s is divided by (1/f)/((-7)/21)*-11.
7
Suppose 0 = 3*a - 7 + 1. Suppose 0 = 6*k - a*k + 2*j + 40, -3*k - 36 = 3*j. What is the remainder when (-446)/k - 1 - 2/(-8) is divided by 19?
17
Let h(g) = 2*g + 34. Let o be (-576)/(-10) + (-6)/10. Let f = -30 + o. Calculate the remainder when h(35) is divided by f.
23
Let j(o) = -248*o + 6958. What is the remainder when 6197 is divided by j(28)?
9
Suppose 8*h - 237 = 5*h + z, h = 3*z + 87. What is the remainder when h is divided by 32?
14
Suppose 13*p = 1797 + 1141. What is the remainder when 471 is divided by p?
19
Suppose 0 = -13*h + 48*h - 673 - 3702. What is the remainder when 334 is divided by h?
84
Let s = 6194 + -3904. What is the remainder when s is divided by 191?
189
Suppose 0 = 4*u - 22 - 6. Let w = -59 - -84. Suppose -26*l + w*l = -19. What is the remainder when l is divided by u?
5
Let w(i) = 2*i**2 - 6*i - 1. Let t = 1606 + -1590. Calculate the remainder when w(10) is divided by t.
11
Suppose 4*w = -7*l + 3*l + 1532, 2*w = 2*l - 762. Let h = -235 + l. Calculate the remainder when h is divided by 75.
72
Let o(k) = 6*k**2 + 63*k - 4. Let w be o(5). What is the remainder when w/5 - (-3)/(90/24) is divided by 6?
3
Let u = -3702 + 3750. What is the remainder when u is divided by 16?
0
Suppose 3*v = -2*g - 3*g - 17, -2*g - 8 = 0. Let h(w) = 22*w - 7. Suppose 0 = -0*k + 2*k - 176. What is the remainder when k is divided by h(v)?
13
Suppose -256 = -2*a + 2*h + 2*h, 4*h - 640 = -5*a. Let j = a - 87. Calculate the remainder when 163 is divided by j.
40
Suppose -423*d = -419*d + b - 5380, 3*d = -2*b + 4030. What is the remainder when d is divided by 23?
12
Let v(o) = -o**2 + 5*o + 999. What is the remainder when v(24) is divided by 230?
83
Suppose -18*b = -22*b + 144. Let f(z) = 19*z - 2. Let s(u) = -39*u + 3. Let r(c) = 9*f(c) + 5*s(c). What is the remainder when r(-6) is divided by b?
33
Suppose 0 = -5*d + 7 + 1003. Suppose -d*w = -199*w - 156. Calculate the remainder when 167 is divided by w.
11
Let l be -18 - (-3 - (-8 - -2)). Let s = 30 + l. Calculate the remainder when (240/10 - -16) + 1*3 is divided by s.
7
Let g(w) = 39*w + 1337. What is the remainder when g(22) is divided by 18?
17
Suppose 5*l - 1221 = -3*x, 0 = 7*x - 5*x - 4. Let r = -143 + l. What is the remainder when r is divided by 44?
12
Calculate the remainder when -104 + 439 + 0/(-2) is divided by 21.
20
Let i(a) = -82*a - 908. What is the remainder when i(-14) is divided by 57?
12
Let s = -44270 + 44310. What is the remainder when 588 is divided by s?
28
Suppose 2*y = -3*u + 19, 3*y - 6267 = 2*u - 6232. Calculate the remainder when 2002/8 + 2/(-8) is divided by y.
8
Let m(i) = i**2 - 6*i + 11. Let a be m(4). Suppose o + 102 = a*o. Let h(y) = -3*y - 24. Calculate the remainder when h(-40) is divided by o.
45
What is the remainder when 1598 is divided by (353 - -15)/16 - (-1 + 4 - 5)?
23
Let p(b) = -24 + 8*b**2 + b**3 - 19*b + 25 - 4*b - 12*b. Calculate the remainder when p(4) is divided by 19.
15
Let j(v) = -2*v + 1. Let u(q) = -127*q**2 + 29*q + 9. Let h(w) = -6*j(w) - u(w). Calculate the remainder when h(-1) is divided by 70.
59
What is the remainder when (134830/(-3880))/(1 - 13/12) is divided by 98?
25
What is the remainder when (-208872)/(-192)*-4*4/(-6) is divided by 33?
30
Let h = 328 - 200. Suppose 4*z = -4*l + 2*z + 256, -2*l = 3*z - h. Calculate the remainder when 81 is divided by l.
17
What is the remainder when 1199 is divided by (-31832)/(-346) + (-6)/(-2)*(-4 + 2)?
81
Let r(m) = m**3 + 3*m**2 - 7*m + 6. Let s be r(7). Suppose 5*u = s - 2072. Calculate the remainder when (-5)/(-10) + u/(-10) is divided by 12.
9
Let y(t) = 6*t**3 - t**2 - 4*t - 3. Let i be y(-1). What is the remainder when 92 is divided by (-3962)/(-84) + 1/i?
45
Let s(j) = -24*j + 95. What is the remainder when s(-13) is divided by 39?
17
Let n(p) = -2*p**3 + 175*p**2 - 93*p + 468. Let u be n(87). Let k be (-2)/(-7) - 920/(-14). Let a = k + u. What is the remainder when 21 is divided by a?
9
Let a(r) = 4*r - 82. Let h(p) = p**3 - 14*p**2 + 36*p - 6. Let j be h(11). Calculate the remainder when (-71 + 27)/((-5)/(-7) - 1) is divided by a(j).
24
Let d = -6809 - -6824. What is the remainder when 3494 is divided by d?
14
Suppose 6 = 3*o - g - 16, 5*g = 2*o + 7. Suppose 0 = 14*j - o*j. Suppose -3*f + 44 + 307 = j. What is the remainder when f is divided by 20?
17
Let a(s) = -9*s + 321. Let z(c) be the third derivative of c**5/15 + c**4/24 - c**3/3 + 3*c**2. What is the remainder when z(-4) is divided by a(34)?
13
Suppose -11*f = 11*f - 2552. What is the remainder when 415 is divided by f?
67
Suppose -2*r = -5*t + 130, 4*r - 76 = 3*t - 7*t. Let p = t + -22. Suppose -3*x = -0*x + p*v - 23, 31 = x - 4*v. Calculate the remainder when 32 is divided by x.
10
Let j = -99 + 243. Suppose 15063*k - 3224 = 15001*k. What is the remainder when j is divided by k?
40
Let g(d) = -2*d**2 - 28*d + 251. Calculate the remainder when 21105 is divided by g(5).
60
Let z(g) = 75*g + 10. Let o(v) = -v - 2. Let b(r) = 6*o(r) - z(r). What is the remainder when b(-3) is divided by 56?
53
Suppose -193*r - 2*w - 611 = -196*r, -4*w = 2*r - 386. What is the remainder when r is divided by 67?
0
Suppose 1552 = 45*s - 4343. What is the remainder when s is divided by 41?
8
Let w(r) = r**3 - 9*r**2 - 17*r - 14. Let b be w(12). Let u = -50 + b. Suppose 21 = 5*q - u. Calculate the remainder when q is divided by 19.
18
Suppose 0 = 