83. Let v be a(-5). Suppose 174 = 4*b + v*d, 4*b + 3*d = b + 132. What is the remainder when b is divided by 19?
5
Let c = -4848 + 4941. What is the remainder when 2138 is divided by c?
92
Suppose 4*a = 595 - 375. Suppose -5*v + a = -5*l, -8*v - 3*l - 17 = -9*v. Calculate the remainder when 57 is divided by v.
1
Calculate the remainder when 409 is divided by (6/8)/(645/14620).
1
Calculate the remainder when ((-68)/(-10))/((-66)/(-33990)) is divided by 24.
22
Suppose y = 3*y - 2, -a + 2*y + 3 = 0. Suppose -a*j = j - 18. Suppose -13 = j*g - 43. What is the remainder when 36 is divided by g?
6
Calculate the remainder when 2077 is divided by (-58008)/(-112) - 7*(-13)/1274.
5
Let l(z) = -z**3 - 10*z**2 - 8*z - 9. Let r = -41 - -32. Let j be l(r). Calculate the remainder when 68 is divided by (-1 - 266/j) + (-64)/(-288).
12
Let y = 454 - 436. Let x = -79 + 85. Calculate the remainder when y is divided by x.
0
Let f(d) = -41*d - 243. Let v be f(-6). Suppose -5*o - 8 = -5*k + 1012, -5*k + 1018 = -v*o. Calculate the remainder when k is divided by 12.
11
Let r(v) = -5*v + 3. Let h be r(-5). Let q = h - 20. Suppose 39*a - 671 = -86. What is the remainder when a is divided by q?
7
Let y(x) = 3 + x + 14 - 7 + 10. Suppose 4*r - 60 = 40. What is the remainder when y(28) is divided by r?
23
Suppose 12*g + 1152 = 84*g. Let c = -245 - -352. Calculate the remainder when c is divided by g.
11
Suppose 18274*s = 18272*s + 140. Calculate the remainder when 482 is divided by s.
62
Suppose 155633*b - 155628*b = 35. Calculate the remainder when 9078 is divided by b.
6
Let n(z) = 12*z - 1. Let w be n(2). Let g = -43 + 25. Let y = w + g. What is the remainder when 24 is divided by y?
4
Suppose 4*n + 0 - 4 = -2*j, 2*n + 2*j = 0. Let l be ((-66)/(-3))/(n/4). What is the remainder when 6 is divided by (3/(-2))/(l/(-16) + 2)?
0
Let h(n) = -n**3 - 3*n**2 + 17*n + 9. Let d be h(-8). Let o(l) = 30*l**2 + 3*l + 1. What is the remainder when (-12)/(-21)*d + (-4)/14 is divided by o(-1)?
26
Suppose -112 = -s - 9. Let g = -210 - -229. Let v = -6 + g. What is the remainder when s is divided by v?
12
Let b = 101 + 114. Suppose -d = 62 - b. Calculate the remainder when d is divided by 39.
36
Suppose 67*k - 686 - 140 = 8*k. Calculate the remainder when 67 is divided by k.
11
Let v = -3283 + 3313. What is the remainder when v is divided by 6?
0
Let y = 59 - 14. Suppose -504 = -p + k, -3*p + 4*k - 3594 + 5118 = 0. What is the remainder when p is divided by y?
42
Let k(l) = -102*l + 1023. Calculate the remainder when 9171 is divided by k(10).
0
Let r(q) = 109*q + 3940. Calculate the remainder when 2/(-3) - (-215)/3 is divided by r(-36).
7
Suppose 25 = 5*x, 5*s - 3*s - 88 = -2*x. What is the remainder when 821 is divided by s?
2
Let a(j) = -j**3 + 2*j**2 + 3*j + 4. Let x be a(-4). Let p = x + -70. Suppose 5*z - 74 = 181. Calculate the remainder when z is divided by p.
15
Let i(u) be the first derivative of 17*u**4/4 + u**3/3 + 3*u**2 - 7*u - 53. What is the remainder when i(2) is divided by 37?
34
What is the remainder when (4 + 7/(-2))*(-16)/80*-610 is divided by 21?
19
Suppose -2*c - 4*o = 2, -6 = 4*o + 2. Suppose 0 = 3*n + c*x - 75, 3*n - 6*x - 54 = -2*x. Calculate the remainder when n is divided by 6.
4
Suppose 2*h - 2*o = 2276, 3*o + 1502 + 778 = 2*h. What is the remainder when h is divided by 16?
14
Suppose 4*b - 163 = -k, 0 = 5*k - 32 - 3. Suppose 2*v = 4*v - 4*a - 26, -49 = -3*v - 4*a. What is the remainder when b is divided by v?
9
Let i(y) = -13*y**2 - 352*y + 84. What is the remainder when 933 is divided by i(-27)?
45
Suppose 6*x - 1959 = -x + 6*x. Calculate the remainder when x is divided by 151.
147
Calculate the remainder when 813 is divided by (-6)/(-10)*(-13545)/(-129).
57
Let n be (32/40)/((-4)/10) + 9. Suppose 14*x = n*x - 784. Let q = x - -174. Calculate the remainder when q is divided by 21.
20
Let s = -319 - -312. What is the remainder when (2/(-4))/(1/(-56)) is divided by (s/(-21))/(-3 - (-46)/15)?
3
Let x(f) = -3*f**3 + f**2 - f + 2. Let k be x(-2). Suppose 48 = h - 5*l + 8*l, -2*h + 92 = 2*l. Calculate the remainder when h is divided by k/12*(-18)/(-4).
9
Let k(b) = -7*b + 9. Let v be k(-6). Let a = 231 - v. Suppose -20*l + 24*l = a. What is the remainder when l is divided by 8?
5
What is the remainder when 717 is divided by (2472/(-36))/(2/(-3))?
99
Let g(q) = 58*q**3 - 2*q**2 - q + 2. Let n be g(1). Let m = -49 + n. Suppose 19*a = 18*a + 45. What is the remainder when a is divided by m?
5
Calculate the remainder when 1417 is divided by (0 + 8)/(94/(-47)) - 3*-146.
115
Suppose -4*p - p + 65 = -g, -3*p + 15 = 0. Calculate the remainder when 77 is divided by ((-24)/(-4) + g)*3/(-6).
9
Suppose 19*f - 28184 = 21577. What is the remainder when f is divided by 131?
130
Let m(f) be the second derivative of f**4/6 - 5*f**3/6 - 5*f**2/2 + 6*f. What is the remainder when 147 is divided by m(6)?
36
Suppose 3*x = -5*l + 5*x + 12, 3*x = -3. Calculate the remainder when (248 - 24) + (1/1 - l) is divided by 9.
7
Suppose -15 = -3*o, 119*i - 116*i + 5*o - 1552 = 0. Calculate the remainder when i is divided by 29.
16
Let a = 19405 - 19394. Calculate the remainder when 41/(-2)*(2 + -4) is divided by a.
8
Suppose 0 = -3*d - m + 182 + 194, -480 = -4*d + 4*m. Suppose -d = -9*l + 200. Calculate the remainder when 110 is divided by l.
2
Suppose -5*r + 3 = -j - 0*r, -4*j - 5*r = -13. Suppose v - 22 = -5*z, 6*v + z - 164 = j*v. What is the remainder when 711 is divided by v?
39
Suppose 25 = -5*f + 10*f. Suppose -f*n - 6 - 9 = 0, -d + n + 33 = 0. What is the remainder when ((-148)/(-2))/(4/8) is divided by d?
28
Let l be (56/(-21))/(1 - (-4)/(-12)). Calculate the remainder when ((-5824)/9)/l - 12/(-54) is divided by 33.
30
Let x = -914 - -1638. Let l = -513 + x. What is the remainder when l is divided by 53?
52
Suppose -80*i - 90*i + 162*i = -24016. What is the remainder when 6009 is divided by i?
5
Let f(m) = -2*m**2 - 8*m - 35. Let l be f(-5). Let a = -21 + l. What is the remainder when 16*94/44 - (-12)/a is divided by 11?
1
Suppose 44 = -3*q + 86. Let x(m) = m**2 + 4*m - 73. What is the remainder when x(q) is divided by 20?
19
Let i = 4 - -94. Calculate the remainder when i is divided by (-32860)/10850 + (-18)/(-5) - (-513)/21.
23
Suppose 12 = 4*v, 19*w = 5*v + 878 - 38. Calculate the remainder when 2659 is divided by w.
4
Let l = 299 + 661. Suppose 5*v + l = 37*v. What is the remainder when 208 is divided by v?
28
Calculate the remainder when 27 is divided by ((-6)/(-14))/((-1911)/(-686)) + 178/26.
6
Let c(j) = 2*j**2 + 242*j + 1843. What is the remainder when 1577 is divided by c(-113)?
2
Suppose -11457 = -2*f - 3*n, -676 = -f + 2*n + 5070. Calculate the remainder when f is divided by 14.
10
Let k(n) = -12*n**3 - 8*n + 86. What is the remainder when 3128 is divided by k(0)?
32
Suppose -2326*n + 2325*n + 103 = 3*v, 3*v = 2*n - 260. What is the remainder when 3157 is divided by n?
11
Calculate the remainder when (-2590)/(-6) - ((-238)/42)/17 is divided by 427.
5
Suppose -39*o + 1111 = 214. What is the remainder when 114 is divided by o?
22
Let s = -2645 + 2839. Calculate the remainder when 961 is divided by s.
185
Let z(j) = -j**3 - 33*j**2 + 73*j + 174. What is the remainder when z(-35) is divided by 50?
19
Suppose 736 - 319 = -3*v. Let b = v - -231. What is the remainder when b is divided by 31?
30
Suppose c - 2*s = 129, 163*s - 158*s = 0. Let h = 43 - 24. What is the remainder when c is divided by h?
15
Let i(j) = 2*j**2 - 19*j - 65. Let a(u) = 4*u**2 - 37*u - 131. Let y(l) = 4*a(l) - 7*i(l). Calculate the remainder when 134 is divided by y(11).
6
Calculate the remainder when 51*(-539)/(-33) + 6 is divided by 40.
39
Let g = 5654 + -5515. What is the remainder when 684 is divided by g?
128
Suppose -3*f - 75*f - 6*f + 20160 = 0. What is the remainder when f is divided by 40?
0
Let q = -56 - -71. Suppose o - 100 = -3*m - 26, q = 3*m. Calculate the remainder when o is divided by 10.
9
Let n = 21 + 150. Suppose -n = -5*b - 121. What is the remainder when 57 is divided by (24/b)/(-3*(-4)/30)?
3
Let w(p) = p**3 - 49*p**2 + 11*p + 2028. Calculate the remainder when w(48) is divided by 14.
0
Suppose -424 = -5*v + 311. What is the remainder when v is divided by 31?
23
Let m be (-2)/(-20)*-24