 remainder when w(-65) is divided by 214.
208
Let k be (54/45)/(-1 - (-621)/615). Suppose -1206 = k*b - 129*b. Calculate the remainder when b is divided by 51.
48
Suppose -i - 4*n = -28, 0 = -3*n - 1 - 14. Calculate the remainder when -3*140/(-30) - -121 is divided by i.
39
Suppose -1612*d = -1717*d + 7455. What is the remainder when 1635 is divided by d?
2
Suppose -3*v + 40 = -v. Calculate the remainder when -10*208/(-120)*504/112 is divided by v.
18
Suppose 8*l + 10958 - 12326 = 0. What is the remainder when 177 is divided by l?
6
Suppose -690 = 17*n - 22*n. Let y = n + -79. What is the remainder when 294 is divided by y?
58
Let w = 2885 - 2873. Let i(j) = 6*j**2 - 6*j + 3. Let g be i(5). Suppose g*r - 121*r = w. What is the remainder when 16 is divided by r?
4
Let j = 237 + -153. Let t = 1962 + -1938. Calculate the remainder when j is divided by t.
12
Suppose -3*l = 4*a + 38, 2*a + 20 = -2*a. What is the remainder when 48 is divided by 3/18*-4*(-21 + l)?
12
Suppose -4*q + 5*a + 46 = -55, -53 = -2*q + 3*a. Let p = 538 - 538. Calculate the remainder when (-3 + p)/12 - 289/(-4) is divided by q.
15
Let w be (23*-23)/((-9)/(-90)*10). Let h = w - -555. Calculate the remainder when 569 is divided by h.
23
Let k = -45 - -50. Suppose k*d - 79 = 11. Let u(b) = -2*b + 2. What is the remainder when d is divided by u(-4)?
8
Calculate the remainder when 4696 is divided by (-2)/(44/40 + 36/(-60)) - -15.
10
Let d = 59 - -189. Let w(p) = 42*p + 1. Let j be w(-4). Let h = j + d. Calculate the remainder when h is divided by 21.
18
Suppose 212 = 3*r + q, -r + 34 + 58 = -5*q. What is the remainder when 26 is divided by ((-48)/r)/((-1)/21)?
12
Suppose 148*g - 636175 = -47*g + 1453250. Calculate the remainder when g is divided by 20.
15
Let k(x) = x**3 - 72*x**2 - 380*x - 286. What is the remainder when 2864 is divided by k(77)?
92
Let n = 20941 + -20914. Calculate the remainder when 13875 is divided by n.
24
Suppose -15*p - 10 = -13*p. Let j(w) = -2*w**2 - 3*w**2 - 2*w**2 - 5*w + 10 + 6*w**2. Calculate the remainder when 29 is divided by j(p).
9
Let m(x) = x**3 - 28*x**2 + 56*x - 56. Let g be (-441)/18 + (-3)/(-2). Let o = 48 + g. What is the remainder when m(26) is divided by o?
23
What is the remainder when (64/108*771)/((-38)/(-171)) is divided by 679?
19
Let y = 10 - 1. Suppose 11*a - 31 = 6*a + 4*o, -12 = 3*o. Calculate the remainder when y is divided by a.
0
Suppose 13 = h - 3*u - 23, 5*h - 162 = -3*u. Let c be (-4)/(-22) - (-1116)/h. Suppose -5*n + c = -16. What is the remainder when n is divided by 3?
1
Calculate the remainder when 5174 - ((-1 + 0)*-11 + -9) is divided by 32.
20
Suppose i - 260143 = -237551. Calculate the remainder when i is divided by 42.
38
Suppose -7*g + 21 = -6*g. Suppose -n = -g - 101. What is the remainder when n is divided by 22?
12
Let d(k) = 4*k**2 + 4*k. Let z(h) = -h**2 - h. Let m(n) = d(n) + 5*z(n). Let x be m(-2). Let g = x + 34. What is the remainder when 63 is divided by g?
31
Let i = 149 + 113. Suppose 0 = 50*h + 12 - i. Calculate the remainder when 12 is divided by h.
2
Let n(b) = b**2 - 31*b + 144. What is the remainder when 2554 is divided by n(26)?
6
Suppose -3*q = -60 - 114. Suppose 55*z + 108 = q*z. What is the remainder when 250 is divided by z?
34
Suppose -251 = -189*d + 187*d - n, 3*n = -3*d + 378. What is the remainder when d is divided by 10?
5
Let h(l) = 3*l**3 - 2*l**2 + 5*l + 6. Let d be h(3). Let x be d/2*(-6)/(-4)*8. Suppose -13*r = -133 - x. What is the remainder when r is divided by 25?
24
Suppose -3*p + 47 = 2*u - 80, -3*u = p - 61. Calculate the remainder when 4105 is divided by p.
35
Let q(l) = l**3 - 22*l**2 + 23*l - 443. What is the remainder when 490 is divided by q(22)?
49
Let v be ((-4)/(-5))/(8/(-60)). Let f be (0 + v/(-8))/((-12)/720). Let d = -34 - f. What is the remainder when d is divided by 2?
1
Suppose 0 = 44*g - 33*g - 55. Suppose 21 = 2*c + 5*k - 4*k, -5*c - g*k + 60 = 0. What is the remainder when 23 is divided by c?
5
Suppose -2*y - 276 = -4*y. Suppose -2 = k, 0*m - k - y = m. What is the remainder when 58 is divided by -5 + 2 - (1 - m/(-4))?
28
Calculate the remainder when (6 + (-12)/4)*387582/117 is divided by 142.
140
Suppose 96*g = 183*g - 3654. Suppose -39 = -4*y - 3. What is the remainder when g is divided by y?
6
What is the remainder when 101 - 60/54*-9 is divided by 6?
3
Let h(i) = 156*i - 149. What is the remainder when 6514 is divided by h(1)?
4
Suppose -902 = -5*l - 369*q + 373*q, -5*q + 192 = l. What is the remainder when 719 is divided by l?
173
Suppose -170 = -11*b + 9*b. Suppose -17*m + 544 = b. Calculate the remainder when 43 is divided by m.
16
Let v(y) = -21*y**2 - 1890*y + 30. Suppose 4*c = 3*x + 24 - 9, 3*c = x + 5. Calculate the remainder when -1*(c + -1) + 87 is divided by v(-90).
28
Let l = 15955 - 15877. What is the remainder when 485 is divided by l?
17
Calculate the remainder when (-3 - 318/(-14)) + (-4)/(-14) is divided by (0 + 2)*(-297)/(-54).
9
Suppose 4*v + 3*f - 287 = 0, -v - 2*v + 5*f = -208. Suppose -18*x + 12*x = 36. Calculate the remainder when v is divided by (-18 + -6)*x/4.
35
Suppose 178*b + 26271 = 241*b. Calculate the remainder when b is divided by 86.
73
Let g(t) = 615*t - 3692. Let l be g(6). Suppose 0 = a - 5*a + 60. Calculate the remainder when 8 is divided by a/((l - -5) + 0).
3
Suppose -i - 157 = -5*c - 4*i, 4*c + 3*i - 125 = 0. Let a be (-123)/8 - (-57)/152. Let t = c + a. What is the remainder when 32 is divided by t?
15
Let y be (-33 + -6)*3/9 - 5. What is the remainder when 5 is divided by 5/((-180)/(-8)) + (-68)/y?
1
Suppose -n = 5*y + 3, 30 = -5*n - 3*y - 29. Let i(d) = -d**3 - 14*d**2 - 16*d + 3. What is the remainder when 123 is divided by i(n)?
39
Suppose 97*x - 1085 = 92*x + 830. Calculate the remainder when x is divided by 136.
111
Let k(r) be the first derivative of -5*r**2/2 - 7*r - 3. Calculate the remainder when 176/4 - (5 + 14 - 12) is divided by k(-6).
14
Let k = -11604 + 11721. Let o(w) = w**2 + 4*w - 1. What is the remainder when k is divided by o(-8)?
24
Let i(j) = j**2 + 66*j - 2. Let b(w) = -27*w + 1. Let x(n) = -2*b(n) - i(n). Suppose -5*l + 45 = -10*l. What is the remainder when x(l) is divided by 14?
13
Let a = -579 - -582. Suppose 2*r + 10 + 493 = 3*v, -r = a*v - 500. What is the remainder when v is divided by 61?
45
Let f(k) = -21*k + 6. Let b be f(1). What is the remainder when (12/10)/(-1*b/200) is divided by 6?
4
Suppose 4*c = -5*w + 5096 - 865, 4*w + 5299 = 5*c. What is the remainder when c is divided by 20?
19
Let a be (-41)/(-410) - (-2)/(-20). Suppose a*w + 1947 = 33*w. Calculate the remainder when 411 is divided by w.
57
Suppose 2*y = -2*w + 1594, -3*y = 58*w - 60*w + 1589. What is the remainder when w is divided by 80?
76
Suppose -4*k - 38 + 170 = -4*o, -4*k + 186 = 2*o. Calculate the remainder when 330 is divided by k.
36
Let d(h) = -4*h**3 - h**2 - 4*h - 4. Suppose -277*f + 124*f + 4896 = 0. What is the remainder when d(-3) is divided by f?
11
Suppose 0 = 3*x - 2*x - 18. What is the remainder when ((-299)/(-23) + -23)*(-46)/4 is divided by x?
7
Let q(s) = -s**3 + 10*s**2 + 44*s - 43. Suppose -4*d = -d. Suppose 4*m - 5*k - 111 = d, 3*m + 3*k + 26 = 4*m. What is the remainder when m is divided by q(-4)?
4
Suppose 2209*d + 765 = 2235*d - 4825. What is the remainder when d is divided by 8?
7
Suppose 2*y - 6 - 150 = 0. Suppose 4*q - p - 130 = -q, 3*q - p - y = 0. Calculate the remainder when -3*(-1)/3*50 is divided by q.
24
Suppose 159*r - 116121 = -27081. Calculate the remainder when r is divided by 158.
86
Let b be 12/30 + (-236)/(-10). Suppose 17 = j + 4*k - 3, 5*j = -k + b. Calculate the remainder when 70 is divided by j.
2
Suppose 17*w - 270 = 11*w. Suppose -165 = -10*s + w. Calculate the remainder when 77 is divided by s.
14
Suppose -14689 - 5399 = -93*g. Calculate the remainder when 841 is divided by g.
193
Let p = 10044 + -9976. Calculate the remainder when p is divided by 10.
8
Let v = -23 - -36. Suppose -464 = -3*j - v*j. Calculate the remainder when 98 is divided by j.
11
Suppose -5*t = -5*y + 385, 0 = 2*y - 5*t - 13 - 129. Suppose y + 131 = 4*j. Suppose 3*b - 29 - 13 = 0. Calculate the remainder when j is divided by b.
11
Suppose -2*d = 3*d - 15, 2*q - 37 = -5*d. Suppose q = -9*t + 56. What