c - 1172 = -k, -3*k = -c + h. What is the remainder when c is divided by 49?
48
Let z = -324 - -327. Suppose 2*w - 562 = -z*y, -5*w + 1045 + 406 = -4*y. Calculate the remainder when w is divided by 32.
31
Suppose -6*y - 478 = -706. Let f(t) = t**3 + 12*t**2 - 14*t + 21. What is the remainder when f(-12) is divided by y?
37
Let q = -683 - -683. Suppose 4*s + c - 16 - 62 = q, -s + c = -17. Calculate the remainder when 90 is divided by s.
14
Let p be (-340)/35 - 2/7. Calculate the remainder when ((-1050)/(-9))/(p/(-30)) is divided by 44.
42
Let u be 5*1/(10/(-12)). Let a(s) = s**3 + 6*s**2 - 5*s - 1. Suppose 43830*z - 12900 = 43680*z. What is the remainder when z is divided by a(u)?
28
Let m(q) = q**3 + 23*q**2 + 16*q + 100. What is the remainder when m(-20) is divided by 82?
78
Suppose 3*d + 2*l = 259 - 215, 2*l = -d + 20. What is the remainder when 490 is divided by d?
10
Let l(y) = y**2 - 105*y + 2124. What is the remainder when l(88) is divided by 3?
1
Suppose 2*v = v + 10. Let y be (2 + -5)/((-3)/(-9)). Let i(c) = -2*c**3 - 17*c**2 + 7*c. What is the remainder when i(y) is divided by v?
8
Suppose 3*x = 3*r - 55 - 332, 0 = -2*x + 8. Let m = -135 + r. Calculate the remainder when 73532/465 - -1*m/15 is divided by 53.
52
Suppose 2*o - 61 = 2*t + 47, -o - 4*t = -49. Suppose 31*b - 1087 - 2044 = 0. What is the remainder when b is divided by o?
48
Let n be 2799/12 + 3/48*-4. Let y = -207 + n. Calculate the remainder when 42 is divided by y.
16
Let h(d) be the third derivative of -19*d**4/24 - 5*d**3/6 + 188*d**2. Calculate the remainder when h(-7) is divided by 26.
24
Let p = 21 - 7. Suppose -4*m + 52 = -p*t + 15*t, -5*t + 3*m = -237. What is the remainder when 93 is divided by t?
45
Suppose -3*w + 17*w = 11690. What is the remainder when w is divided by 56?
51
Suppose -3*b = -77 - 94. Suppose 3*p + 3*u = 51, -264 = -4*p - u - 187. What is the remainder when b is divided by p?
17
Let c(r) = r**3 + 28*r**2 - 487*r + 65. Calculate the remainder when c(-40) is divided by 70.
65
Suppose z + h = 66, -h = -2*z + 6*z - 264. Suppose 0 = -4*d - 3*d - 7420. Let n = -1043 - d. Calculate the remainder when z is divided by n.
15
Let i(q) be the first derivative of -7*q**2/2 - 8*q - 13. Let o be i(-9). Suppose o = 3*s + 31. Calculate the remainder when 22 is divided by s.
6
Suppose 0 = -5*b + 4*q + 1356, 0 = -4*b + 6*q - 4*q + 1080. What is the remainder when b is divided by 9?
7
Suppose w - 87 - 277 = -2*z, -3*z = 9. Calculate the remainder when w is divided by 37.
0
Suppose 5*n = 2*h - 38 + 136, -2*h + 2 = 0. Let g be (-702)/(-21)*(-4)/6*7. Let v = g - -168. What is the remainder when n is divided by v?
8
Calculate the remainder when 4/(28515/4065 - 7) is divided by 46.
41
Let g(t) = -880*t - 5143. Calculate the remainder when g(-6) is divided by 48.
41
Suppose 17648 + 55264 = 98*g. What is the remainder when g is divided by 27?
15
Let c = -11448 - -11455. What is the remainder when 99 is divided by c?
1
Suppose 0 = -h + 1 + 2. Calculate the remainder when 234 is divided by 34*h/(-4 + 10).
13
Suppose 3*j - 201 = -0*w + 2*w, -335 = -5*j - 5*w. Calculate the remainder when ((-63)/(-5))/(490/4900) is divided by j.
59
Suppose 2*x - 2*d - 198 = 0, 122*x + d = 120*x + 174. What is the remainder when 103 is divided by x?
12
Let o(g) = g**2 + 3*g + 6. Let t be o(-5). Suppose -5*v - 77 = -t*v. Let n = 38 + -18. Calculate the remainder when n is divided by v.
6
Suppose -47*d + 2917 = -2535. What is the remainder when 6263 is divided by d?
115
What is the remainder when 973 is divided by (158 + 2)/(-2*(-3)/(-24)*-4)?
13
Let v(s) = -37*s - 83. Let g(t) = 19*t + 41. Let k(h) = -11*g(h) - 6*v(h). Let a be k(-8). Let f = a - -77. Calculate the remainder when f is divided by 11.
9
Suppose -5*f = 37 - 242. Let j(y) = y**2 - y + 7. What is the remainder when f + 7 + -5 + -9 is divided by j(0)?
6
Let p(k) = 10*k - 2 - 24 + k**3 - 2*k**3 - 16*k**2 + 3*k. What is the remainder when 167 is divided by p(-17)?
41
Calculate the remainder when (-448 - -2)*-4 - 10*(-10)/50 is divided by 39.
31
Let y be 4/((-64)/(-692)) + (-6)/(-8). Suppose 3*g = 5*d - 168, -d - y = -4*g - 81. What is the remainder when 89 is divided by d?
23
Let v(k) = 3*k + 18. Let q be v(-6). Let i(m) = m**3 - m + 2. Let j be i(q). Calculate the remainder when 2*2/4 - (-100)/j is divided by 18.
15
Suppose 0 = -5*d + 5 + 10. Let n be ((-6)/d + 1)*-41. Let k = 57 - n. What is the remainder when 41 is divided by k?
9
Let o = 5665 + -5628. What is the remainder when 52 is divided by o?
15
Let k(g) = -43*g - 412. Let l be k(-10). Suppose l*o - 130 = 86. Calculate the remainder when 31 is divided by o.
7
Suppose -9 = 3*a, -2*t - 4 = 6*a - 2*a. Suppose 0 = -w - 3*j + 61, -5*j = t*w - 0*j - 258. Let f = 107 - w. What is the remainder when f is divided by 9?
4
Let r be 102 - (6/5)/(66/220). Let p = r + -65. What is the remainder when p is divided by 9?
6
Calculate the remainder when 51/6*1396/2*1 is divided by 112.
109
Suppose -2*c + 11 = -2*j + c, -3*j = -2*c + 24. Let s(y) = 1 + y**2 - y - 23 + 10. What is the remainder when s(j) is divided by 34?
30
Suppose 0 = -0*u + 5*u - 15. Let t be (-164)/(-14) - u*(-14)/147. Suppose a - t = 3. What is the remainder when 27 is divided by a?
12
Let n be 2/(-6) - (-48)/(-18). Let s be (n + -1)*(-5 + -1). Suppose -3 - s = -l. What is the remainder when 78 is divided by l?
24
Suppose 5*q = 3*a + 957 - 205, q - 3*a = 160. What is the remainder when q is divided by 33?
16
Suppose 5*c = -5*i + 2*c - 10, -4*i = -5*c + 8. Calculate the remainder when (2/6)/(1/159) is divided by (0 - -12) + -7 - i.
4
Suppose 8*a = 4*a, h - 133 = -4*a. What is the remainder when h is divided by 32 + (-13)/((-26)/(-10))?
25
Suppose 0 = -5*t - g + 3906, -10*t - 3123 = -14*t + g. What is the remainder when t is divided by 61?
49
Let q(j) = 3*j**2 + 15*j - 374. What is the remainder when q(-18) is divided by 152?
24
Let i = -5626 + 8483. What is the remainder when i is divided by 52?
49
Let h(f) = 6*f**2 + 1. Let y be h(1). Let u be ((-10)/(-7) + 1 + -1)*y. Suppose -9*i - 45 = -u*i. Calculate the remainder when i is divided by 12.
9
Let l(h) = -2*h**3 - 22*h**2 - 7*h - 35. Calculate the remainder when l(-12) is divided by 10.
7
Let d(b) = -25*b - 16. Suppose -4*t = 2*g - 128, 3*t + 192 = 34*g - 31*g. What is the remainder when d(-8) is divided by g?
56
Suppose -5*i - 18*u = -21*u - 316, -4*u = 4*i - 272. Calculate the remainder when 131 is divided by i.
1
Let o(p) = 3*p**2 - 27*p - 63. Let v = 234 - 223. Calculate the remainder when 12 is divided by o(v).
0
Suppose -165*s - 120 = -169*s. Suppose -5*g + 59 = t - 2*t, -4*t = 16. What is the remainder when s is divided by g?
8
Suppose -5*d - 880 = -5*z, -2*d - 543 = -3*z - 4*d. Let w = -118 + z. What is the remainder when w is divided by 21?
19
What is the remainder when (2 + 1 + 1307)*1/2 is divided by 268?
119
Let k(y) = 4*y**2 + 287*y - 212. Calculate the remainder when k(-73) is divided by 12.
9
Suppose -4*d + 87 = -5*a, -78 = -0*d - 4*d + 2*a. Let c(b) = 12*b**2 - 64*b + 269. What is the remainder when c(5) is divided by d?
15
Let v(j) = 2*j**3 - 7*j**2 - 13*j + 21. What is the remainder when 165 is divided by v(5)?
10
Let o = -1298 - -1327. What is the remainder when 7016 is divided by o?
27
Let d be ((-1560)/(-1))/(4/(-36)*-3). Calculate the remainder when 2*3/(-10) + d/50 is divided by 36.
21
Let o(k) = -13*k - 41. Let w(u) = 6*u + 20. Let a(y) = 3*o(y) + 7*w(y). Let b be ((-12)/10)/((-1)/5). What is the remainder when a(b) is divided by 13?
9
Let o be 3 + (5 - 10) + 152. Suppose 2*r = 3*l + l + 134, -4*l = 2*r - o. What is the remainder when r is divided by 28?
15
Suppose 2065 = 7*m - 3269. Let s = -564 + m. Calculate the remainder when s is divided by 52.
42
What is the remainder when (-3883)/(-7) - (-185)/(-259) is divided by 74?
36
Let f(m) = m**2 + 4*m - 4. Let d(s) = s**2 - s + 1. Let n(a) = 3*d(a) - f(a). What is the remainder when 119 is divided by n(4)?
9
Let j = -524 - -527. Suppose 8*k + j*q = 7*k + 68, -2*k = -5*q - 114. What is the remainder when 72 is divided by k?
10
Let j(i) = 10*i**2 - 3*i + 4. Let a be j(2). Calculate the remainder when a/57 - (-1 - 194/6) is divided by -1 - 245/(-21) - (-2)/(-3).
4
Suppose -115*m - 1236 = -20901. Calcula