01 = 0. Calculate the remainder when m is divided by s.
14
Suppose f + z + 3*z - 23 = 0, 4*f - 92 = -4*z. Suppose -x + 34 = -f. Let j(n) = 11*n**2 + 72*n + 46. Calculate the remainder when x is divided by j(-6).
7
Let n(l) = 8*l**2 - 124*l - 22. What is the remainder when n(21) is divided by 43?
42
Suppose k = 3*p + 3*k + 1, 2*p - 1 = -k. Let j be p*-5*(-1)/5. Calculate the remainder when (j/(-6))/(1/(-250)) is divided by 14.
13
What is the remainder when 313 is divided by ((-10)/6)/((-378)/9072)?
33
Let t be (-2)/(-14) + (-1275)/105. Let k = t + 16. Suppose o - 80 = -k*m, -4*o = -2*m + o + 62. Calculate the remainder when 103 is divided by m.
19
Suppose 3*c - 4 = 11, z = c. Suppose 97*o = -109*o + 231*o - 550. What is the remainder when o is divided by z?
2
Let z(p) = -p**3 - p**2 + 4*p + 2. Let x be z(-3). Calculate the remainder when 10/(-135) - (211/1)/(945/(-175)) is divided by (42/(-8))/((-2)/x).
18
Let s(x) = 5*x + 36. Let q be s(-7). Calculate the remainder when q/(297/147 - 2) is divided by 8.
1
Let x be ((-26)/91)/((-2)/14 + 0). Suppose b + 3*b - 263 = n, -x*n = -b + 71. What is the remainder when b*1 + -3 + 0 is divided by 13?
10
Suppose 4*i - 22 = -2*z, 2*i + 4 = 2*z - 0. Suppose v - 27 = i*u, -u + 6*u = 2*v - 50. Calculate the remainder when v is divided by 4.
3
Suppose 19*n - 5*n + 56 = 0. What is the remainder when 143 is divided by (54/n)/((-3)/4)?
17
Suppose 0 = -5*j + 803 - 163. Suppose 2*f + j = 150. What is the remainder when 44 is divided by f?
0
Let f be -6 - ((-400)/24)/(4/(-12)). What is the remainder when (5 + -1 - -1)/((-8)/f) is divided by 8?
3
Suppose 8*h = 17 + 63. Let s(c) = 5*c - 129. Calculate the remainder when s(33) is divided by h.
6
Suppose -3*l - 42 = -6. Let v be 3*(-2)/l*56/(-7). Calculate the remainder when 0 + (v - (-31 - -2)) is divided by 7.
4
Let j = -5138 + 5179. What is the remainder when 811 is divided by j?
32
Suppose -12 = -22*s + 19*s. Let r be (0 + -4)/(-4)*277. Calculate the remainder when r/s + (-8)/32 - 0 is divided by 25.
19
Let c = 20677 - 20084. What is the remainder when c is divided by 33?
32
Suppose 25*c - 3352 = -1027. What is the remainder when 5113 is divided by c?
91
Let r = 45 + -45. Suppose -17*n + 15*n + 36 = r. Suppose s - n = -s. What is the remainder when 107 is divided by s?
8
Let g(a) = -a**3 + 20*a**2 + 9*a - 151. What is the remainder when 134 is divided by g(20)?
18
Suppose 0 = k - 3*q - 206, 5*q + 5 = 15. Suppose -50*c = -51*c + k. Calculate the remainder when c is divided by 76.
60
Suppose 14 = 4*q - 30. Suppose q - 224 = -3*w. Calculate the remainder when w is divided by (119 - 124) + (1 + 22 - 0).
17
Suppose -19 - 21 = -10*o. Suppose -5*b - o*k + 45 = -0*k, -k = -b. Suppose -11*u + 12 = -10*u. What is the remainder when u is divided by b?
2
Suppose 2*z = -z. Let m(x) = z*x**3 + 30*x**2 + 4*x - 21*x**2 - 2*x**3 + 3*x**3 + 3. Calculate the remainder when m(-8) is divided by 10.
5
Suppose 32652*b + 2646 = 32670*b. What is the remainder when 875 is divided by b?
140
Suppose 4*b - b - 3*r = 408, 274 = 2*b - 4*r. Suppose -b = -x - 2*k - k, -4*k - 457 = -3*x. Calculate the remainder when x is divided by 6.
3
Calculate the remainder when 1/(13 - (-219940)/(-16919)) is divided by 78.
77
Suppose 353*a + 19736 + 41808 = 367*a. Calculate the remainder when a is divided by 176.
172
Calculate the remainder when 472 is divided by ((-124)/26)/(11*(-10)/715).
7
Suppose -o + 36 = 2*z - 16, 0 = 3*o + 12. What is the remainder when (2 + -3)*426/(8/(-4)) is divided by z?
17
Suppose -12*n = -13*n + 2. Suppose n*p - 3*v = -p, -3*v - 10 = -p. Calculate the remainder when 41 is divided by 0 + 6 + (-9 + 4 - p).
5
Let q = 1 - 61. Let d = q - -66. Calculate the remainder when (-30)/d - (-59 - -1) is divided by 14.
11
Let v be (-77)/((-6)/4*(-8)/(-12)). Let z = v + 102. What is the remainder when z is divided by 13?
10
Suppose -31*x + 872 = -1360. Calculate the remainder when 254 is divided by x.
38
Let j = -137 + 73. Let p = -13 - j. Let f = 55 - p. Calculate the remainder when 10 is divided by f.
2
Calculate the remainder when 249 is divided by (1 + 1/(-3))/((-23)/(169119/(-38))).
120
Suppose -5*g - 25 = 5*c - 20, 0 = -4*c + g + 11. Calculate the remainder when 354/15 - c/(-5) is divided by 9.
6
Let j(v) be the third derivative of v**6/120 + v**5/15 - 11*v**4/8 + 5*v**3/2 + 165*v**2. Calculate the remainder when 228 is divided by j(-8).
21
Let m = -180 - -70. Let a = 150 + m. Calculate the remainder when 395 is divided by a.
35
Suppose -2*t + 38 = -2*b, -2*t - t = 3*b - 33. Suppose -4 = -2*i - s - 2*s, -4*s = -3*i + 6. What is the remainder when t is divided by (i + -5)*(-6)/2?
6
Let j = -263 + 266. Suppose -88 = -5*z + c, j*z - 55 = -c + 1. Suppose 4*s - 168 = 548. Calculate the remainder when s is divided by z.
17
Let o = 33 + -22. Calculate the remainder when ((-388)/97)/(2 - 33/16) is divided by o.
9
Let w = -116 - -116. Suppose 3*h - 6 - 3 = w, -2*x + 4*h = -484. Calculate the remainder when x is divided by 10.
8
Calculate the remainder when 470 is divided by 18/(-14) - 8313/(-1141).
2
Calculate the remainder when (-15270)/(-33) - (-6)/22 is divided by 219.
25
Suppose -q - 4 = q. Suppose -5*o - 2472 = -v - 2395, 2*v - 102 = -3*o. What is the remainder when v is divided by -1 + (-2 - q - -16)?
12
Suppose -3*w = z + z - 2, z = -w. Suppose 5*a - 290 = -4*j, -2*j + 134 = w*a - 5*a. Calculate the remainder when j is divided by 24.
22
Let q(z) = -9*z + 25. Let k be q(6). Let g = k + 38. Calculate the remainder when (3/g)/((-4)/(-540)) is divided by 23.
22
Calculate the remainder when 180 is divided by (5 - -2)/(159/636).
12
Suppose -d + 829 + 156 = 10*l, 15 = -3*d. Calculate the remainder when 3165 is divided by l.
96
Suppose -29*a + 1523 = -5*o - 26*a, 4*a = -16. Let c = 556 + o. Calculate the remainder when c is divided by 21.
18
Let n be 1*-86*(-14)/4. Suppose 4*u + 2*c - n = 3*c, -20 = 4*c. Calculate the remainder when u is divided by (12 - (-228)/(-24))*24/10 - -7.
9
Suppose -2*h = 4*r - 3088, 26*h - 4*r + 6192 = 30*h. Suppose u + 8*z = 6*z + 313, h = 5*u - 3*z. What is the remainder when u is divided by 78?
77
Let x(w) = -11*w - 64. Let i be x(-7). What is the remainder when 214 is divided by 2/i - (10790/(-169) - -9)?
49
Let z(y) = y**3 + 5*y**2 + 4*y + 1. Let p be z(-3). Let a(n) = 5*n + 1. Let d(t) = t**2 - 3*t + 17. What is the remainder when d(-8) is divided by a(p)?
33
Let t = 11384 + -11338. What is the remainder when 1976 is divided by t?
44
Suppose -2*t - 5*x = -413, -2*x = -5*t - 6*x + 1024. Let q be (5 + -2)*82/(-3). Let f = q + t. Calculate the remainder when f is divided by 31.
29
Suppose 3*a - 369 = 34*g - 37*g, 4*a - 493 = -5*g. Calculate the remainder when a is divided by 97.
25
Let m(b) = 92*b + 189. Let c(v) = 9*v. Let t be c(-1). Let l(w) = w**3 + 10*w**2 + 8*w + 4. Calculate the remainder when l(t) is divided by m(-2).
3
Suppose 0 = -2*d - 5*a - 30 - 3, 0 = -5*d - 2*a - 72. Calculate the remainder when (-4)/d - ((-1664)/56 + 6) is divided by (-62)/(-4) - 1/2.
9
Suppose -26961 = 48970*o - 49787*o. Let a(p) = 34*p - 7. Let i(b) = 2*b**2 + 2*b + 2. Let h be i(-2). Calculate the remainder when a(h) is divided by o.
32
Let y(r) = -r + 106. Let n(j) = -2*j + 23. Let l be n(10). Suppose 5*m + 4*d = 4*m + 4, 3*d - 3 = l*m. Calculate the remainder when y(m) is divided by 27.
25
Suppose 19*u - 15*u - 3*f = 7044, u - 2*f - 1761 = 0. What is the remainder when u is divided by 63?
60
Calculate the remainder when 430 is divided by 16/(-12)*((-4)/8)/((-4)/(-18)).
1
Let o = 72554 + -72519. What is the remainder when o is divided by 2 + -1 - (-1 - 12)?
7
Suppose -2*f + 685 = 10*w - 5*w, -280 = -2*w - 2*f. Suppose o = -n + 19, -4*o - w = -5*n + o. What is the remainder when 113 is divided by n?
21
Let u(q) = -49*q - 133. Let d = 415 - 418. Calculate the remainder when 292 is divided by u(d).
12
Suppose 6578 - 2474 = -16*x + 25*x. What is the remainder when x is divided by 9?
6
Let k = -57 + 151. What is the remainder when k is divided by ((-5044)/(-8))/13 + (-5)/(-10)?
45
Let r be 1*-3 + 2 + -3 + 8. Let g(l) = -l**3 + 5*l**2 - 4*l + 7. Let k be g(r). Suppose -95 + 291 = k*y. What is the remainder when 111 is divided by y?
27
Let d(g) = -2*g**3 - 9*g**2 - 2*g - 6. Suppose -128 = -4