te the remainder when a/(-10)*(-15)/2*3 is divided by 7.
4
Let r be (-2 - -1)/((-112)/35 - -3). Suppose 4*b - 2*b + 3*a - 169 = 0, 5*b + r*a = 435. Calculate the remainder when b is divided by 31.
30
Suppose -4197*q + 18496 = -4180*q. What is the remainder when q is divided by 43?
13
Let l(v) = v**2 - 4*v - 2. Let i = 22 - 25. Suppose -9*y - 18 + 63 = 0. What is the remainder when l(i) is divided by y?
4
Suppose -34*c = -50*c + 3072. Let t = c + -30. Calculate the remainder when t is divided by 55.
52
Let y(v) = 11*v + 54. Let t be y(4). Suppose -6*q - t = -506. Let f(w) = w**3 - 4*w**2 + 7*w - 6. What is the remainder when q is divided by f(4)?
2
Let u(h) = 136*h + 2650. What is the remainder when 516 is divided by u(-19)?
54
Let j(l) = 3*l**3 - 29*l**2 - 4*l + 85. Calculate the remainder when j(10) is divided by 63.
19
Suppose 1575 - 731 = 123*t - 1862. What is the remainder when 456 is divided by t?
16
What is the remainder when 1995 is divided by 6949/21 - 70/(-735)?
9
Suppose 28*c = 26*c - 5*y + 192, -488 = -4*c + 3*y. What is the remainder when 453 is divided by c?
105
Let s = -1290 + 1338. Let m(z) = 2*z**3 - 8*z**2 + 10*z - 17. What is the remainder when m(6) is divided by s?
43
Suppose 516*q + 861 = 537*q. Let v = 4 - -2. Calculate the remainder when q is divided by v.
5
Let a = 5486 - 5452. Calculate the remainder when 1721 is divided by a.
21
Let s be -18 + (-4 - -2) + 6. Calculate the remainder when 231/s*(2 + 10/(-3)) is divided by 19.
3
Let v(s) = 253*s**2 + 2*s - 3. Suppose -29*q - 44*q = -21*q - 1820. Calculate the remainder when v(2) is divided by q.
33
What is the remainder when 5082 is divided by (-168)/((-182)/13) + 152?
162
Let k(y) = y**3 - y - 2. Let h be k(2). Suppose 4*g - 69 = -3*j, h*j - 6*g + g - 92 = 0. Calculate the remainder when 183 is divided by j.
22
Let u(r) be the third derivative of -r**5/30 - 35*r**4/24 - 6*r**3 - 2*r**2 - 40. Calculate the remainder when 230 is divided by u(-15).
35
Suppose -1902*h = -1912*h + 760. Let o = -48 - -90. What is the remainder when h is divided by o?
34
Let m(l) = 2*l**2 - 31*l + 108. What is the remainder when 672 is divided by m(12)?
0
Let g = -1795 + 1878. Calculate the remainder when g is divided by 74.
9
Suppose -10 = -2*l, -b + 4*l = 3*l. Suppose -30*v = -31*v - b. Calculate the remainder when v/((-75)/6)*50 is divided by 7.
6
Let h be 1 + ((-22)/(-2))/(7 + -6). Suppose -32 = -3*c + 2*c. Calculate the remainder when ((-279)/h)/((-6)/(-8) + -1) is divided by c.
29
Let p = -68 + 72. Suppose 5*s = -20, -4*y - p*s - 209 = 175. Let k = 103 + y. Calculate the remainder when 28 is divided by k.
6
Suppose i = 5*x - 26, 2*i = -2*i - 3*x - 12. Let u be 14 + -18 + i/(-2). Let d(s) = -4*s**3 - s**2 - 4*s - 3. Calculate the remainder when d(u) is divided by 4.
0
Let p = 77 + 55. Suppose 5*i + 11537 = 4*j + 3717, -3*j + i + 5854 = 0. Let o = 1969 - j. Calculate the remainder when p is divided by o.
18
Let g = 896 + -412. Suppose -18*m + 40*m = g. Calculate the remainder when m is divided by 12.
10
What is the remainder when 490 is divided by (-40)/(-120) + -3 + 286/6?
40
Let p(w) = w**2 - 7*w + 31. Let s be (-2)/(-23) - 1757/(-161). What is the remainder when p(s) is divided by (3/(-6))/(1/(-38))?
18
Let i(y) = 5*y + 51. Let r be i(-7). What is the remainder when 38 is divided by 8/6*r + 10/(-30)?
17
Let c(l) = -7*l**3 + l. Let w be c(1). Let z be (0 - w/8)/((-2)/(-32)). Suppose z = 3*y, 4*q - y - y = 132. What is the remainder when q is divided by 19?
16
Let w(m) = -292*m**2 + 1753*m + 10. Suppose -313 = -5*d - 4*f - 83, 10 = 2*f. Calculate the remainder when (d - -2) + (2 - 0) is divided by w(6).
14
Let n(l) = -l**2 - 204*l + 660. Let u = -30 - -179. Calculate the remainder when u is divided by n(-207).
32
Let g(m) = 54*m**2 + m - 2. Let f be g(2). Suppose 6*l - f = -0*l. Calculate the remainder when 0 + 2/(-3) - 1914/(-9) is divided by l.
32
Suppose 8*g - 10 = 14. Suppose 3 = -2*r + 5*v, 4*r = -0*v - g*v + 59. Suppose -r*b = -5*b - 414. Calculate the remainder when b is divided by 14.
13
Suppose -46 = 5*u - 91. What is the remainder when 115*(-11)/(-495)*u is divided by 110/8 + 1/4?
9
Let a = 28637 + -18636. What is the remainder when a is divided by 145?
141
Let o = -6 - 94. Let m = 2314 - 2325. What is the remainder when (-1)/(-1)*m/(55/o) is divided by 7?
6
Suppose 40*p - 455 = 27*p. Suppose -5*d + 217 + 93 = 0. Let s = 40 + d. Calculate the remainder when s is divided by p.
32
Suppose -20*d + 2086 = -13*d. Suppose 5*g + 152 = -d. Calculate the remainder when 56 is divided by (-1730)/g - 2/9.
18
Let p(z) = -6*z - 63. Let r be p(-21). Let d be (-14)/r + (-9230)/18. Calculate the remainder when 92 is divided by -2*(d/6)/9.
16
Let b(n) = -n**2 + 16*n + 9. What is the remainder when 284 is divided by b(16)?
5
Calculate the remainder when 2/7 - 248/280 - (-65044)/115 is divided by 169.
58
Let f(t) = t**3 - t**2. Let v be f(0). Let l(g) = g - 8 + 8 + v + 1. Calculate the remainder when 39 is divided by l(9).
9
Let s be 2*(-6 - (-1445)/10). Let w = s + -274. Calculate the remainder when 7 is divided by w.
1
Let c(u) = 2*u**2 - 16*u - 6. Suppose -60 + 80 = 2*s. What is the remainder when 201 is divided by c(s)?
31
Suppose 22*m - 4102 = 8*m. Suppose -7*n + 43 + m = 0. What is the remainder when n is divided by 18?
12
Suppose 0 + 4 = b, -h + b + 58 = 0. What is the remainder when 123 is divided by (14 + (1 - 8))*h/14?
30
Let c = 246 - 107. Let a = c - 112. Calculate the remainder when a is divided by 18.
9
Let t = 7296 + -7260. Calculate the remainder when 426 is divided by t.
30
Suppose 0 = 127*y - 780709 + 120944. What is the remainder when y is divided by 1298?
3
Let x(y) = -138*y - 18 + 0 - 141*y + 265*y. Calculate the remainder when x(-12) is divided by (-1)/(-1) - (-54)/3.
17
Let b = 14585 - 9604. Suppose 26*u - b = 2351. What is the remainder when u is divided by 19?
16
Let b(t) = -43*t - 28. Let k be b(-7). Let x = -240 + k. What is the remainder when 124 is divided by x?
25
Let l(m) = -9*m - 2 + 7 + 6*m + 14. Let r be l(4). Suppose r*q - 50 = 41. Calculate the remainder when 20 is divided by q.
7
Suppose 2*w - 4 = 0, -4*r + 52 = 2*w - 1584. Let d = r + -399. Calculate the remainder when -2*34/8*-4 is divided by d.
7
Let k = -16 - -29. Calculate the remainder when (-17 + 18)*3*84 is divided by k.
5
Let k(x) = 7*x**3 - 7*x**2 - 17*x. What is the remainder when k(5) is divided by 201?
12
Let b = 570 - 537. Suppose -9*j + 1218 = b*j. Calculate the remainder when 78 is divided by j.
20
Let x(f) = 21*f + 381. Calculate the remainder when 378 is divided by x(-15).
48
Let t = 19488 + -18097. Calculate the remainder when t is divided by 197.
12
Suppose -69*f = -68*f - 18. Let o(n) be the second derivative of -n**5/10 - 5*n**4/12 - n**3 - n**2/2 + 3*n. What is the remainder when o(-4) is divided by f?
17
Suppose -23*o + 192*o - 14815 + 4168 = 0. Calculate the remainder when 2260 is divided by o.
55
What is the remainder when 1834 is divided by (8/(-6) + 952/147)/((-2)/(-21))?
52
Suppose 2*d + 234 = 4*s, -3*d = 3*s - 6*d - 180. Suppose 6*t = 11*t + 135. Let i = s + t. What is the remainder when i is divided by 8?
6
Let g(k) = -k**3 - 17*k**2 - k - 24. Let p be g(-17). Let v(i) = i**2 - 9*i - 91. Suppose 13 = -5*u + 78. What is the remainder when v(p) is divided by u?
8
Let r be 20/(-110) - 1148/(-22). Suppose -59*q + r*q + 1323 = 0. Calculate the remainder when q is divided by 24.
21
What is the remainder when (-540)/72*(-39306)/15 is divided by 72?
69
Let y be (-11)/(-44) - ((-9)/(-4) + -2). Suppose -31*i + 32*i - 63 = y. What is the remainder when i is divided by 40?
23
Let a(m) = 41*m - 139. Suppose 0 = -4*r + 8, 0*x + 5*x + 4*r = -102. Calculate the remainder when (-1408)/(-15) - x/165 is divided by a(4).
19
Calculate the remainder when 293 is divided by (-1)/4 - 160105/(-820).
98
Let x(q) = -2*q**2 - 167 + 5*q**2 + 367 - 172 - 33*q. What is the remainder when x(13) is divided by 18?
16
Suppose -21*g - 277 = -3*j - 22*g, 178 = 2*j - g. Suppose -738 = -100*n + j*n. Calculate the remainder when 401 is divided by n.
73
Calculate the remainder when 57 is divided by ((-142)/781)/((-3)/330).
17
Let j(w) = w**2 + 76*w + 201. Calculate the remainder when 367 is divided by j(-74).
49
Let i 