alculate the remainder when q is divided by 7.
4
Let q = 7423 - 7390. What is the remainder when 2074 is divided by q?
28
Let o = 3069 + -2931. What is the remainder when o is divided by 5?
3
Let a = 36 - 32. Suppose -6*x = -a*x - 40. Let f(i) = -2*i - 8. What is the remainder when x is divided by f(-8)?
4
Suppose -30*a + 34*a = -13260. What is the remainder when a/(-45) + 1/3 is divided by 28?
18
Let v(b) = -b**2 - 1. Let f(r) = 2*r**2 + 16*r - 42. Let y(c) = f(c) + 3*v(c). Suppose 2*l - 30 = -0. Calculate the remainder when l is divided by y(4).
0
Suppose -j + 174 - 125 = 5*i, 3*j - i = 99. Calculate the remainder when 1256 is divided by j.
32
Calculate the remainder when 530 is divided by (-888)/(-1221) + (-15360)/(-55).
250
Let f(g) = -g**3 + 60*g**2 - 9*g + 13. Calculate the remainder when f(3) is divided by 181.
137
Let m(b) = b + 3. Let k be m(-3). Suppose 0 = -32*u + 358 + 6874. Suppose k = 4*n - u - 122. Calculate the remainder when n is divided by 18.
15
Let r(x) = 3*x**2 - 55*x + 363. What is the remainder when r(12) is divided by 84?
51
Let r be (12 - -2*(-4 + 3)) + 0. Suppose 38 + r = 2*j. What is the remainder when 86 is divided by j?
14
Suppose 3*s = -5*b + 4172, 4*b + 34*s = 33*s + 3339. Calculate the remainder when b is divided by 273.
16
Suppose -6 = 2*g - 5*g. Suppose 4*x + 3 = i, -g*x - 1 + 3 = 0. Suppose -t + i - 4 = 0. Calculate the remainder when 6 is divided by t.
0
Suppose 0 = -3*a - p + 230 + 654, -3*a + 896 = -2*p. Let f(u) = -u**2 - 12*u + 121. What is the remainder when a is divided by f(-18)?
10
Calculate the remainder when 2517 is divided by (-70)/1*(132 + -147 + 14 + 0).
67
Let h(f) = 15*f**3 - 23*f**2 + 15*f - 3. Let b(l) = -8*l**3 + 12*l**2 - 7*l + 1. Let g(y) = 11*b(y) + 6*h(y). What is the remainder when g(5) is divided by 50?
8
Let w(d) = d**2 - 25*d - 769. What is the remainder when 550 is divided by w(-18)?
0
Let t(q) = 193*q - 2889. Calculate the remainder when t(16) is divided by 21.
10
Suppose 5*z - 6*z + 5 = 0. Let q(p) = -p**2 + 5*p - 13. Let i be q(z). What is the remainder when 81 is divided by (i + -1)*(-8)/12*3?
25
Suppose 5*k + 4*p = 40, -3*k = 2*p - 4 - 20. Suppose -k*t = 8*t - 1232. Calculate the remainder when t is divided by 81/2 - 2/4.
37
Let u = 10459 + -4517. What is the remainder when u is divided by 135?
2
Suppose -5*q + 1749 = -3*t + 417, q = 5*t + 306. Let z(x) = -x**2 + 9*x + 12. Calculate the remainder when q is divided by z(9).
9
Suppose -2*q = 2*d - 4, -7 = -2*d - 5*q + 6*q. What is the remainder when d/(2 + (-190)/98) is divided by 10?
9
Let o = 50 - 27. Let r(b) = -b**2 + 15*b - 2. Let h be r(12). Let z = -22 + h. What is the remainder when o is divided by z?
11
What is the remainder when 1186/((2/(-1))/(-2)) is divided by (9/8)/((-540)/(-5760))?
10
Let y be ((-9960)/28)/(4/(-196)). Calculate the remainder when (-8)/14 - y/(-147) is divided by 20.
18
Let h = -3429 + 3460. Calculate the remainder when 140 is divided by h.
16
Suppose 25*c - 41 = 34. Suppose x + 96 = 5*x. What is the remainder when x is divided by (c/5)/(44/660)?
6
Let l(g) = g**3 + 22*g**2 + 20*g. Let y be l(-21). Calculate the remainder when 34 is divided by (-96)/(-7) - (-2)/y*3.
6
Suppose 25*f = 27*f + 18. Let k = f - -9. Suppose k = 13*z - 10*z - 81. What is the remainder when z is divided by 6?
3
Suppose -4*s + 3*n - 5 = -2*n, -5*n + 5 = -5*s. Calculate the remainder when 61 is divided by (31/(-62)*(26 + s))/(-1).
9
Let c = 2 + 0. Let b(t) = t**2 - t + 26. Let x(s) = s. Let l(w) = c*x(w) + b(w). What is the remainder when l(0) is divided by 15?
11
Let l(b) = b**3 + 26*b**2 - 2*b + 18. Let r be (-1)/(-2 - 212/(-104)). Calculate the remainder when 77 is divided by l(r).
7
Calculate the remainder when (-5)/(10/(-5466)) + -37 + 38 is divided by 171.
169
Let o(w) = 11*w + 19. Let t be o(2). Suppose -m + 2*i + 35 = 0, 5*i = -m + t + 29. What is the remainder when 221 is divided by m?
41
Suppose -42*v + 555 = -831. Suppose -3*d + 9 + 0 = 0. Suppose -5*z + d*f = -v, 5*z + 3*f - 36 = 21. Calculate the remainder when 17 is divided by z.
8
Calculate the remainder when 943 is divided by ((-1632)/680)/(12/(-610)).
89
Let f(w) = w**3 - 3*w**2 - 2*w + 8. Let r be f(3). Let v be (6 + -2)*r/4. Suppose -76 = v*y - 4*y. What is the remainder when 72 is divided by y?
34
Suppose 2213*s - 2136*s = 6468. What is the remainder when 2433 is divided by s?
81
Suppose -139*l + 91*l - 723672 = -72*l. Calculate the remainder when l is divided by 34.
29
Let m be ((-2)/(-2))/((-1 - 7)/(-32)). Suppose -n = -y - 3, -m*n + 0*y = -5*y - 11. Calculate the remainder when (-2 + 1 - -2)*5 is divided by n.
1
Suppose -h + 6*h - 205 = -p, -5*p + 1085 = 5*h. Suppose -p = -0*t - 5*t. Let d = t - 30. Calculate the remainder when d is divided by 4.
2
Let n(k) = -3*k - 176. Let h be n(0). Let m be h/5 + (-6)/(-60)*2. Let t = m + 86. What is the remainder when t is divided by 19?
13
Suppose 107*k - 104*k - 163 = -5*v, 4*k + 191 = 5*v. Calculate the remainder when v is divided by 18.
17
Suppose -25 = -8*u + 31. Let d = -826 - -838. Calculate the remainder when d is divided by u.
5
Let c(j) = -116*j + 1632. Calculate the remainder when 2/4*(-1 + 87) is divided by c(14).
3
Suppose -2*g + 4*p = -186 - 84, -p = 3*g - 370. Let w(x) = -34*x - 211. Let r be w(-7). What is the remainder when g is divided by (-9)/(-12)*288/r?
5
Suppose -k = -51 + 13. Let r = -83 - -163. Let j = -6 + r. What is the remainder when j is divided by k?
36
Let z = 49 - 51. What is the remainder when 129 is divided by (390/(-18)*3)/(z - -1)?
64
Suppose -3*w + 181*q - 177*q + 538 = 0, 0 = -5*w + 3*q + 882. What is the remainder when w is divided by 88?
86
Let p be ((-27)/45)/((-2)/(-10)). Suppose 1903*a = 1886*a + 1309. Calculate the remainder when a is divided by -2*(-4 - p) - -18.
17
Let s(i) = -3*i - 8. Let u(b) = 2*b - 3. Let h be u(-3). What is the remainder when s(h) is divided by (40/28)/(86/301)?
4
Let k = -19 + 9. Let p be (13 - 8)*(-4)/k. What is the remainder when 114 is divided by ((-78)/(-9))/(p/3)?
10
Let w = -3887 - -5017. Calculate the remainder when 3399 is divided by w.
9
Let h be 2/11 + 864/88. Let x be (-16)/h + 2/(-5). Calculate the remainder when 48 is divided by (-3 - x)/(2/(-34)).
14
Let s = 3 - -25. Calculate the remainder when s is divided by ((-8)/28)/(206/(-4326)).
4
Suppose -2*f = -4*v - 52, 0 + 23 = f + v. Let r(x) = 2*x**3 - 2*x**2 - x + 4. What is the remainder when r(6) is divided by f?
22
Suppose -4*p + 2*u + 1262 = 1170, 3*p = -3*u + 105. Calculate the remainder when 18491 is divided by p.
23
Let i = 262 - 259. Suppose 67 = 3*m + 5*g, 8*m + i*g - 104 = 4*m. What is the remainder when m is divided by 4?
1
Let i(y) = 13*y - 1113. What is the remainder when 23234 is divided by i(97)?
146
Let i = 5 - -138. Let u = 155 - i. Calculate the remainder when 22 is divided by 6 + 6/(-24) + 51/u.
2
What is the remainder when (-4292)/(-10) + 182/(-910) is divided by 61?
2
Suppose -5*g = -3*z + 51, 3*z = g + 8*z + 27. Calculate the remainder when 39 is divided by (g/8 - -4)*(-12)/(-15).
1
Suppose 2*j + 423 = -251. Let x = 352 + j. What is the remainder when 132 is divided by x?
12
Suppose 2*o - 73 - 31 = -4*w, 3*w = 4*o + 78. Suppose -4*p + w = -5*i + 7*i, 3*i + 9 = 0. What is the remainder when 9 is divided by p?
1
Suppose -122 = -4*d + 48*a - 47*a, -66 = -2*d + 3*a. Calculate the remainder when 1855 is divided by d.
25
Let f be 9/(36/8)*(-4)/(-1). Suppose -4*c - 5*u - 841 = -f*c, 0 = -5*c + 2*u + 1047. Calculate the remainder when c is divided by 42.
41
Suppose -2 = -b + v, -9 = -0*b - 4*b + 5*v. Let s be (-4 - b)/(20/100). Let h = -9 - s. What is the remainder when 30 is divided by h?
14
Let j be (1 + -7 + 488)/(1 + 1). Let o = j - 130. Calculate the remainder when o is divided by 49.
13
Let h = -10865 + 14723. Calculate the remainder when h is divided by 92.
86
Suppose 3*m - 3347 = 5*g, -19*m - 3*g = -21*m + 2232. Calculate the remainder when m is divided by 14.
13
Calculate the remainder when 18/(-60) + 8715/50 is divided by 17 + 21 - (0 + -7).
39
Suppose -30*t + 13464 = 22*t - 16*t. What is the remainder when t is divided by 21?
17
Let m(b) = -b**2 - 10*b - 5. Let c = -101 + 117. Let w = c - 22. Calculate the remainder when 32 is divided by m(w).
13
Let f(t) = 