- 142 = 2*b, 0 = -i - 4*b - b + 53. What is the remainder when i is divided by m?
10
Suppose -4*z - 14*y = -10*y - 204, -3*z = 7*y - 137. What is the remainder when 164 is divided by z?
54
Calculate the remainder when ((-64294)/(-488))/(3/120*2) is divided by 220.
215
Let s = -12293 - -15847. Calculate the remainder when s is divided by 396.
386
Suppose -5*m = 5*l - 95, 3*m - 4*l - 9 = 48. Suppose 133 = y - 3*y + 273. Calculate the remainder when y is divided by m.
13
Let f be ((-20)/(-6))/1*21/14. Suppose -14*n + d + 51 = -13*n, 0 = -f*n + 4*d + 252. Calculate the remainder when 137 is divided by n.
41
Suppose -7*o = -1291 + 283. Let a = o + -142. Calculate the remainder when a is divided by (8/(-10))/(4/(-10)).
0
Let u(k) = 16*k**2 + 24 + 17 + 18 - 57 + 87*k. Calculate the remainder when u(-6) is divided by 43.
13
Let l(w) = -2*w**3 - w**2 - w + 1. Let f(r) = 13*r**3 - 38*r**2 + 50*r - 64. Let c(m) = -f(m) - 6*l(m). What is the remainder when 176 is divided by c(43)?
11
Let l = -575 + 590. What is the remainder when 38 is divided by l?
8
Suppose -99*n + 104*n = 3*c + 931, 3*n - 573 = -3*c. Calculate the remainder when 439 is divided by n.
63
Let d = -208 - -297. Let g = -66 + d. Suppose 61 + g = 2*n. Calculate the remainder when 81 is divided by n.
39
Suppose 3*q - 15 + 3 = -v, 2*v + 2*q - 24 = 0. Let l be (-1)/(-4) + (-15)/(-4). Suppose 48 - v = l*a. Calculate the remainder when 16 is divided by a.
7
Let k be (-50)/150 + 1/((-9)/(-687)). Suppose 2*r = 2, k + 6 = a + r. What is the remainder when 317 is divided by a?
74
Suppose 30 = -9*h - 6. Let b(q) = 3*q**2 + 6*q + 3. Let l be b(h). Suppose -4*p + 11 = x, x - 3*p - p - l = 0. What is the remainder when 75 is divided by x?
18
Let p = -2 - -7. Suppose -p*n = 5 - 100. Suppose -2*t + n + 27 = 0. What is the remainder when t is divided by 9?
5
Let m = -1709 + 1719. What is the remainder when 987 is divided by m?
7
Let i(v) = -8*v - 107. Let n(l) = 16*l + 212. Let t(s) = -7*i(s) - 4*n(s). What is the remainder when t(-27) is divided by 20?
17
Let j(y) be the first derivative of -3*y**4/4 - 3*y**2/2 + y + 5. Calculate the remainder when j(-2) is divided by 12.
7
Suppose 3241 + 5732 = 141*m - 9216. What is the remainder when 540 is divided by m?
24
Let v = -45 - -56. Let u(n) = n**2 - 4*n - 51. What is the remainder when u(v) is divided by (-3 + 2)*-4*1?
2
Let c = -206 + 2177. What is the remainder when c is divided by 29?
28
Calculate the remainder when (1270819/506)/((-1)/(-2)) is divided by 25.
23
Let w(z) = -z. Let i be w(6). Let u = -3 - -17. Calculate the remainder when 3*579/18 + i/4 is divided by u.
11
Suppose -12 = -4*b - 4. Let p(s) = 9*s**3 + 2*s**2 - 4*s + 8. Let u(m) = 21*m**2 - m + 1. Calculate the remainder when p(b) is divided by u(1).
17
Let i = 18393 + -17971. Calculate the remainder when i is divided by 419.
3
Calculate the remainder when 4731 is divided by (-4)/(396/(-3195)) - (-33)/(-121).
27
Let h(v) = -v**2 - 22*v + 22. Suppose 4*g = -j - 37, 3*g + 32 + 85 = -5*j. Calculate the remainder when h(j) is divided by 17.
9
Let p(c) = 97*c**2 + 4*c + 3. Let i be p(-1). Let r be 262/(-3) + (-64)/i. Let j = r + 92. What is the remainder when 15 is divided by j?
3
Let c(x) be the second derivative of -x**4/12 + 19*x**3/6 - 29*x**2 - 111*x. What is the remainder when 28 is divided by c(13)?
8
Suppose 0 = -221*w + 218*w + 33. Suppose y + 3*n = -w, 0 = -y + 11*n - 7*n + 24. What is the remainder when 7 is divided by y?
3
Suppose -872*l - 1203 = -873*l + 4*t, 14 = 2*t. What is the remainder when l is divided by (-69 + 3)*4/(-6)?
43
Let s(v) = 33*v + 17. Let x be s(13). Suppose -233 = -7*y + x. Calculate the remainder when y is divided by 20.
17
Suppose 0 = 2*q + 73 + 7. Let c = q - -57. What is the remainder when c is divided by 2?
1
Suppose -155 = 37*a - 858. Suppose 0 = 5*j - y - 328, -9*j - 4*y + 74 = -8*j. Calculate the remainder when j is divided by a.
9
Suppose 0 = -156*l + 6020 + 8176. What is the remainder when 336 is divided by l?
63
Let y be (-981)/15 + (-16)/(-40). Let p = y + -3. What is the remainder when (-17)/p + (-307)/(-4) is divided by 20?
17
Suppose -2500 = -16*t + 1324. Suppose -7*n = -29 - 55. Calculate the remainder when t is divided by n.
11
Let f be 0 + 2/(-16) - (-45)/(-24). Let d(x) = -x**3 - 2*x**2 + 3*x + 3. Let i be d(f). Calculate the remainder when 28 is divided by 16/12*(15 + i).
12
Let d = 1588 - 1451. What is the remainder when 419 is divided by d?
8
Let x(v) = v**3 + 16*v**2 - 14*v - 36. Let r be x(-16). Let b = r - 174. Suppose 0 = -4*k + 166 + 218. Calculate the remainder when k is divided by b.
12
Let l = -2385 + 2509. Calculate the remainder when l is divided by 24.
4
Let v be 21/5 + (-10)/50. Suppose 5*y - b - 3 = 62, -v*b = -2*y + 44. Calculate the remainder when 227 is divided by y.
11
Suppose -2 = 2*f - 24*o + 27*o, -5 = -5*f - 5*o. Calculate the remainder when 32874 is divided by f.
4
Suppose -2*z + 159*s - 154*s = -210, -5*z + 510 = -5*s. What is the remainder when z is divided by 34?
32
Let g(t) = -10*t**3 - t**2 - 3*t - 42. Calculate the remainder when 699 is divided by g(-3).
15
Let x = 28 - 16. Let d(v) = 3*v**3 - 6*v**2 - 24*v + 52. What is the remainder when x is divided by d(3)?
5
Suppose -3*j + 18016 = -j + 3*v, 3*v + 26979 = 3*j. What is the remainder when j is divided by 14?
11
Let m(k) = -k**2 + 11 + 20*k + 15*k - 37*k. Let b be m(-6). Let t = 23 + b. What is the remainder when 56 is divided by t?
6
Let t(g) = -g**3 + 19*g**2 - 51*g + 51. Let o be t(16). Suppose -o*l = -31*l + 6020. What is the remainder when l is divided by 31?
29
Suppose 172*d - 1980 = 12*d + 70*d. What is the remainder when 3447 is divided by d?
15
What is the remainder when (-14)/((-23)/((-10626)/(-12))) is divided by 68?
63
Let b be (-10)/(-65) - (-104370)/130. Let a = b + -363. Calculate the remainder when a is divided by 49.
48
Let t be -41 - ((-2)/(-7) + 52/14). Suppose 3*n - 1167 = 3369. What is the remainder when (-2)/(-5) - n/t is divided by 9?
7
Suppose -5*o - c = 259 - 1251, -11*o + 2*c = -2195. Calculate the remainder when 219 is divided by o.
20
Let j(h) = h**2 + 77*h - 294. Calculate the remainder when 2579 is divided by j(-81).
29
Let a = -80 + 135. Let i(y) = -y**2 + 30*y + 92. What is the remainder when a is divided by i(32)?
27
Let q be -9 + 290/8 - 1/4. Let z(v) = -v**3 + 28*v**2 - 28*v + 38. What is the remainder when 16 is divided by z(q)?
5
Let w(s) = -102*s**2 + 823*s - 5. Calculate the remainder when 138 is divided by w(8).
36
Suppose 221*r + 10 = 223*r. Suppose 74 = 5*a - 4*p, 3*p + 0*p - 102 = -r*a. Let g = -12 + 116. Calculate the remainder when g is divided by a.
14
Let s be (-23)/(-115) - (-422)/(-10). Let d be ((-28)/s)/((-1)/3). Calculate the remainder when 25 is divided by 1/((-5 - d)/(-18)).
1
Suppose -2*m + c = -665, -2*m - 3*c + 1082 = 397. What is the remainder when m is divided by 107?
14
Let o(z) = 93*z**3 - 3*z + 3. Suppose h - 2*x + 2 - 4 = 0, 5*x = -2*h + 13. Calculate the remainder when o(1) is divided by 38*((-2)/h)/(-1).
17
Suppose 0 = -4*s - 3*u + 6896, 6*s - 3*s - 4*u - 5147 = 0. Calculate the remainder when s is divided by 23.
19
Suppose -2*d + 3*n + 971 = 0, -2*d - 4*n = -135 - 871. What is the remainder when d is divided by 107?
65
Let j be (-1406)/(-10) - 1 - (-84)/(-140). Let w = j - 155. Let h = w - -21. Calculate the remainder when 29 is divided by h.
4
Suppose 4*r = 3*s + 2750, -3*r = 31*s - 32*s - 2055. What is the remainder when r is divided by 404?
279
Let s(h) = h**3 + 5*h**2 - h - 2. Let t be s(-5). Suppose -t*p + 24 = p. Suppose 0 = p*z - z - 40. Calculate the remainder when 45 is divided by z.
5
Let h(r) = 9*r**2 - 2*r + 8. Let g be h(-14). Suppose 0 = -2*j - 6*j - g. What is the remainder when 35 is divided by j/(-27) + 2/3?
8
Suppose 4*n - 28 = 0, 2*n + 3371 = v - 12004. Calculate the remainder when v is divided by 30.
29
Let h be (204 + -1)/((-11)/(-44)). Let d = h - 767. Calculate the remainder when d is divided by 26*((-10)/4)/(-5).
6
Suppose -43*t = -41*t - 64. Calculate the remainder when 2553 is divided by t.
25
Let g(h) = -h - 102. Let s(o) = -o - 101. Let f(i) = 2*g(i) - 3*s(i). What is the remainder when f(27) is divided by 13?
9
Let c(j) = 2*j**3 - 13*j**2 - 4*j + 711. What is the remain