3. What is the remainder when q is divided by a?
19
Let g be (-1)/6 + 1190/84. Let m = g - 4. Let c = -8 - -14. Calculate the remainder when m is divided by c.
4
Suppose 7072 = 24*v + 44*v. Calculate the remainder when 724 is divided by v.
100
Let z = 171 + 555. What is the remainder when z is divided by 28?
26
Suppose 3*d = 4*y + d - 2678, -d + 1341 = 2*y. Suppose 4*u = -y + 1078. Let h = -4 + 17. Calculate the remainder when u is divided by h.
11
Let s(l) = 156*l + 6. Calculate the remainder when s(1) is divided by (-8)/(-2)*705/188.
12
Suppose 2*j + 226 = 2*m, 273 = 3*m + 11*j - 108. Let l = -18 - -48. What is the remainder when m is divided by l?
26
Suppose 4*g - 33 = -17. Let z be 0/(g/8*-4). Suppose 0 = -3*v - 2*l + 8 + 28, z = 2*v - 3*l - 24. Calculate the remainder when 95 is divided by v.
11
Suppose 49802 - 4509 = 15*s + 6773. Calculate the remainder when s is divided by 83.
78
Let y = -428 - -431. Suppose 22*p + 5*h + 75 = 27*p, p + 3*h - y = 0. What is the remainder when 44 is divided by p?
8
Let i = -15144 + 15154. Let d(r) = r**2 + 4*r - 7. Let s be d(-5). Calculate the remainder when s - (0 - 2) - -37 is divided by i.
7
Suppose -5*l + 26 = 4*m, -194*m + 199*m = 4*l + 94. Calculate the remainder when 690 is divided by m.
4
Let a(i) = i**2 - i - 2. Let s be a(-3). Suppose v = 4*m + 6, 2*m + 2 = -5*v + s. What is the remainder when 59 is divided by 222/18 + v/(-6)?
11
Let v(i) = 492*i - 4798. Calculate the remainder when v(10) is divided by 63.
59
Let t be 4/8*7*(0 + 2). Suppose 21*m - 2128 = -t*m. What is the remainder when 377 is divided by m?
73
Let w = 701 - 651. What is the remainder when 296 is divided by w?
46
Suppose 4*l + 5*f = -l + 30, -2*l + 3 = -f. Suppose -l*d = b - 5*d - 17, 9 = 2*b + d. What is the remainder when 26 is divided by b?
5
Let f = 12909 + -12892. Calculate the remainder when 2123 is divided by f.
15
Let r = 1117 + -1098. What is the remainder when 454 is divided by r?
17
What is the remainder when 2950 is divided by 8155/(8 - -27) + (1 - (5 - -2))?
226
Suppose 2*l - 331 = -5*t + 385, 0 = -4*l - 2*t + 1416. What is the remainder when l is divided by 44?
1
Let t(k) = -7*k - 73. Suppose -2*g = -4*m - 23 + 85, -3*m = -5*g - 43. Calculate the remainder when t(-14) is divided by m.
9
Calculate the remainder when 670 is divided by ((-2)/21 - 27029/(-7518))*(-92)/(-7).
26
Let w(z) = -6*z + 5. Let v(o) = 3*o**2 - 3*o - 8. Let j be v(2). Calculate the remainder when 405 is divided by w(j).
14
Let y(z) = 2*z**2. Let h(i) = -5*i**2 - 27*i + 65. Let v(q) = 2*q**2. Let s(p) = -h(p) - 3*v(p). What is the remainder when y(5) is divided by s(23)?
23
Suppose -3*d + 26 = -d. What is the remainder when (267*5/(-15))/(-1) is divided by d?
11
Let a(w) = 3*w**3 + 2*w**2 - 61*w + 32. Suppose p + 4*f = 47, -2*p - 3*f + 61 + 28 = 0. Calculate the remainder when a(6) is divided by p.
42
Suppose 0 = -2*c + 3020 - 2860. Let f = 15 + -6. Calculate the remainder when c is divided by f.
8
Let x be 8/(-2) - (7 - 13). Suppose 0 = -s - x*q + 50, -2*s - 2*q + 124 = -6*q. Calculate the remainder when (-10)/(-4)*((-1424)/(-40) + 8) is divided by s.
53
Let g = 17330 - 17293. What is the remainder when g is divided by 1*2*(-6)/(-4)?
1
Let y = -484 - -470. Calculate the remainder when 98 is divided by y/21 + 84/18.
2
Suppose -u + 18 = -5*f - 30, 189 = 8*u - f. What is the remainder when u is divided by 19?
4
Suppose -g + 2*u = -464, u + u + 922 = 2*g. Suppose -4*q - 159 = -2*k - 113, 0 = -2*k - 4*q + 62. What is the remainder when g is divided by k?
26
Suppose -42*t = -34*t - 40. Suppose t*z = 29 + 96. What is the remainder when 93 is divided by z?
18
What is the remainder when 1148 is divided by ((-496)/32 - -14)*-16?
20
Let c(w) = -w**3 - 7*w**2 - 6*w. Let i = -78 - -72. Let d be c(i). Suppose 9 = -3*a + 3, 4*o + a - 34 = d. Calculate the remainder when 20 is divided by o.
2
Let l be (96/(-80))/((-2)/(-5)). Let j = l + 5. Suppose 30 = 7*w - j*w. Calculate the remainder when 19 is divided by w.
1
Suppose -2*h = -2*t + 132, -202 = 3*h - 3*t + 2*t. Let c = -18 - -30. Calculate the remainder when h/6*12/(-4) is divided by c.
10
Let y = 678 + -608. Suppose -y*p + 21 = -69*p. What is the remainder when 38 is divided by p?
17
Suppose 4*m - 105 - 175 = 0. Let f = 86197 + -86169. What is the remainder when m is divided by f?
14
Suppose 5*m = -1934 + 384. Let w = m + 463. Calculate the remainder when w is divided by (13*(-6)/9)/(-6*8/288).
49
Suppose 25 = 3*g + x + 2, -2*g - 3*x - 8 = 0. What is the remainder when (0 - 1/(-2))*102 is divided by g?
7
Suppose -y = -4*l + 5896, 3354 = 3*l + 4*y - 1087. Calculate the remainder when 4440 is divided by l.
15
Let g(q) = 290*q**2 - 33*q + 3. What is the remainder when g(-2) is divided by 123?
122
Let o(i) = -i**2 + 28*i + 2394. What is the remainder when o(-32) is divided by 67?
5
Suppose -11*m + 2704 = 15*m. Suppose -7*j + 442 = -m. Calculate the remainder when j is divided by 40.
38
Suppose -13 + 174 = 17*d + 8. Let n be (2 + (-9)/6)*170. Suppose -2*r = -n + 17. What is the remainder when r is divided by d?
7
Suppose -1 = -2*o + 11. Let f(r) = -136*r - 2304. What is the remainder when f(-17) is divided by o?
2
Suppose -1899*f - 6308 = -1918*f. What is the remainder when 1328 is divided by f?
0
Let v = -63 + 65. Suppose -3*x + 18 = -k + x, v*x = -k - 12. Let i(c) = c**3 + 14*c**2 - c + 18. What is the remainder when i(k) is divided by 7?
4
Suppose 2*a = q - 180, 0 = -2*q - 2*a + 215 + 103. What is the remainder when q is divided by 28?
26
Suppose 5*m = 608 - 133. Suppose -137 - m = -8*a. Let k = a - -4. Calculate the remainder when k is divided by 9.
6
Let j = -151 - -266. Suppose 4*o - 42 = -t, 21 - 39 = -3*t. What is the remainder when j is divided by o?
7
Let t = -5766 - -9937. Calculate the remainder when t is divided by 95.
86
Suppose 20*g = 30*g - 30. Suppose 6 = -g*w, 2*i + w = 73 + 101. Calculate the remainder when i is divided by 15.
13
Suppose 0 = -3*j + 9, 0 = p + 5*j - 156 + 26. What is the remainder when p is divided by 84?
31
Suppose x + 32175 = 14*x + 2*x. What is the remainder when x is divided by 58?
57
Let z(v) = -v**3 - 6*v**2 + 8*v - 3. Let x be z(7). What is the remainder when (-6)/33*x + 10/(-55) is divided by 27?
25
Let t(w) = 5*w**3 + 49*w**2 - 24*w - 137. Calculate the remainder when 117 is divided by t(-10).
0
Let v(o) = -11*o + 51. What is the remainder when 391 is divided by v(-13)?
3
Suppose 3*t - 2*w = 1984, -5*t = w - 3303 + 5. Calculate the remainder when 1322 is divided by t.
2
Suppose 6*m = -426 + 150. Let j = m - -72. Suppose -o + j = -54. What is the remainder when o is divided by 28?
24
Let t = -53 + 61. Let u = 50 + -47. Suppose 0 = u*s - 4*s + 15. What is the remainder when s is divided by t?
7
Let j(o) = 254*o**2 + o. Let n be j(-1). Let i = n + -67. Let m = 725 + -698. What is the remainder when i is divided by m?
24
Let d = -8531 + 9501. What is the remainder when d is divided by 17?
1
Let r(t) = 12*t + 203. Let p be r(-16). Suppose 170 - 5 = p*y. What is the remainder when 174 is divided by y?
9
Suppose 17*w = 20*w - 60. Let s = w + -14. Suppose 3*u = 4*h + 9, -15 = -s*u + u - 2*h. What is the remainder when u is divided by 2?
1
Let b(x) be the second derivative of -1/12*x**4 + 9*x - 5/2*x**2 + 5/2*x**3 + 0. What is the remainder when b(13) is divided by 6?
3
Suppose 4*l + 5*z - 30 = -7, -2*l + 10 = 2*z. Suppose -3*j = 5*c - 106, -6*j + 188 = -l*j - 5*c. What is the remainder when 125 is divided by j?
41
Let m = -17 - -12. What is the remainder when 54 is divided by 476/70 + (1 - 2)/m?
5
Let d(l) be the first derivative of l**4/4 + 3*l**3 + l**2/2 - 5*l - 41. Let h be d(-4). Suppose -5*i + h = -9. What is the remainder when 28 is divided by i?
12
Let t(x) = -7*x - 15. What is the remainder when t(-13) is divided by ((-330)/(-75))/(-11)*5*-13?
24
Let a(d) = 230*d**2 - 29*d + 30. Let p be a(1). Let j = p - 189. Suppose -4*c + 81 = -3*c. What is the remainder when c is divided by j?
39
Let d = -253 - -255. Let x(p) = 53*p + 68*p + 1 + 9. Calculate the remainder when x(d) is divided by 15.
12
Suppose -2*o = 3*b - 6*b + 216, -2*b - 5*o = -163. Let h = 78 - b. Suppose -h*i + 75 - 7 = 0. What is the remainder when 30 is divided by i?
13
Let o(v) = -v**3 - 4*v**2 + 22*v +