Suppose 2*m - 25 - n = 0. Calculate the remainder when 206 is divided by m.
50
Suppose 4*j + 15*s = 18*s + 799, 0 = -5*j + 4*s + 997. What is the remainder when 601 is divided by j?
191
Let m = -7153 - -7430. What is the remainder when m is divided by 59?
41
Let g(a) = 2*a**3 + 147*a**2 - 78*a - 13. What is the remainder when g(-74) is divided by 12?
7
Calculate the remainder when 1028 is divided by 15/12 + (-18 - 1075/(-20)).
29
Suppose 2*x + 4*a = -335 - 413, 3*a + 1137 = -3*x. Let p = x + 417. Calculate the remainder when 99 is divided by p.
0
Let f = 8 - -56. Suppose -58*p + 4568 = 4278. Calculate the remainder when f is divided by p.
4
Let v(y) = -8*y**2 - 4*y**2 + 18*y + 14*y**2 + 3. Let f be v(-9). Suppose g + f = 0, -184 = -4*m + g + 163. What is the remainder when m is divided by 18?
14
Let h(b) = -216*b - 3. What is the remainder when 1076 is divided by h(-1)?
11
Let r = -18257 - -18290. Calculate the remainder when 3000 is divided by r.
30
Suppose -6*w - 231 = -303. What is the remainder when w is divided by (96/(-18))/((-2)/3)?
4
Suppose 16*m - 35*m = 6*m - 3950. Calculate the remainder when m is divided by 69.
20
Let f = 29 + -1. Suppose 945*x - 988*x = -12943. Calculate the remainder when x is divided by f.
21
Let v be (36/(-60))/((-1)/(-5)). Let l(x) = x**2 - 7. Let c be l(v). Suppose c*u - 7*u = -b - 15, b = 3*u - 5. What is the remainder when 57 is divided by b?
7
Let w(s) = -109*s. Let b(v) = -3430*v. Let f(q) = 2*b(q) - 63*w(q). Suppose -3*h + 2*h + 4 = 0. Calculate the remainder when 109 is divided by f(h).
25
Suppose 2*c + 2*c + 59 = q, -2*q = 2*c - 118. Suppose 0 = -n, 4*f - 6*f = -5*n - 470. Calculate the remainder when f is divided by q.
58
Suppose -2*m - 3 + 23 = 0. Let r = 29 + m. What is the remainder when 271 is divided by r?
37
Suppose 5*m - 33 = 2*m. Suppose -1 = 2*s - 5*b, b + 15 = 5*s + 6*b. Suppose -2*w + 98 = w + s*j, -2*w - 3*j = -72. What is the remainder when w is divided by m?
8
Let b = 10107 + -9249. Calculate the remainder when b is divided by 63.
39
Let w = 52 - 20. Suppose -3552 = -x - 11*x. Let n = -202 + x. What is the remainder when n is divided by w?
30
Let i(q) = 47*q - 257. Let d be i(21). Suppose -a = 2*j - 285, 7*j + a + d = 12*j. Calculate the remainder when j is divided by ((-2)/(-6))/(1/111).
34
Suppose -4*w - 3*l + 45 = -w, 2*w - 23 = 5*l. Let y be 13/((-78)/(-126)) + -3. Suppose -t = y*t - 513. Calculate the remainder when t is divided by w.
13
What is the remainder when 1223 is divided by -3 + 10/(-2) + 197 + 15?
203
Let g(d) = -141*d + 1859. What is the remainder when 462 is divided by g(13)?
20
Let c be 934/(-62) + (-68)/(-1054). What is the remainder when 80 is divided by (-10 - -13)/(c/(-205))?
39
Let c be 28/(-49)*(-21)/6. Suppose 0 = 4*i + 4*g - 68, 4*i - 7*g - 41 = -c*g. What is the remainder when 41 is divided by i?
13
Suppose -684 - 290 - 170 = -11*g. Calculate the remainder when 329 is divided by g.
17
Suppose -2*t - p + 3*p + 18 = 0, -5*p = t + 9. Let h = 34 + -13. Calculate the remainder when h is divided by t.
3
Suppose -2*h + 6676 = 3*o + 1177, -h + 2718 = 5*o. What is the remainder when h is divided by 47?
37
Suppose 5*z = -4*m + 665, 5*m = -3*z - 0*m + 412. Let n(y) = -y**2 - 24*y - 69. Calculate the remainder when z is divided by n(-5).
25
Let j(y) be the third derivative of -2/3*y**3 + 0 + 0*y - 1/24*y**4 + 20*y**2 + 1/15*y**5. What is the remainder when j(-2) is divided by 5?
4
Let w be -1 + -3*710/15. Let c = w + 182. What is the remainder when 192 is divided by c?
36
Let h(i) = -6*i + 210. Let j be h(19). Let w = j + 23. Calculate the remainder when w is divided by 34.
17
Let v = 3953 - 3852. Calculate the remainder when v is divided by 101.
0
Let h(r) = 9*r + 7 + 2*r**2 - 4*r**2 - r**2 + 4*r**2. Let b be h(7). Suppose -p = 6*p - b. What is the remainder when p is divided by 6?
5
Let f(d) be the second derivative of -d**5/20 + 7*d**4/6 - d**3/3 + 5*d**2/2 - 172*d. What is the remainder when f(7) is divided by 28?
26
Suppose 328 = 5*w - 22. Suppose 5*l - 140 - w = 0. Let q = l + -34. What is the remainder when 31 is divided by q?
7
Suppose 0 = -3*a + n + 317, -14*n = -15*n + 1. Calculate the remainder when 468 is divided by a.
44
Suppose -2*z + 2*k + 6 = 0, -3*z + 3*k = 2*k - 13. Suppose -42 = -3*f + 3*n, f - z*n + 0*n = 22. What is the remainder when 176 is divided by f?
8
Let o(q) = q + 385. What is the remainder when o(-4) is divided by 96?
93
Suppose -53283 = -95*a - 938. What is the remainder when a is divided by 79?
77
Suppose 19 = x - 2*d, -5*d + 2 + 17 = x. Suppose x*r - 580 = 15*r. Suppose -85*b + r = -80*b. Calculate the remainder when b is divided by 15.
14
Suppose 0*t = -3*t + 138. Calculate the remainder when (-3135)/(-4) - (-2640)/(-704) is divided by t.
44
Let m = 30413 - -16505. What is the remainder when m is divided by 51?
49
Let m(g) = 2*g**2 - 8*g - 4. Let x be (-4)/(-22) + (1275/187 - 1). Let w(c) = c**3 - 3*c**2 - 30*c + 129. What is the remainder when w(x) is divided by m(6)?
17
Suppose -13018 - 242 = -85*n. What is the remainder when 1109 is divided by n?
17
Let t be 2/6 - -7756*4/(-48). Let p = t - -734. Calculate the remainder when 274 is divided by p.
10
Suppose u = -6*y + 735, 4*u - 3*y = 3848 - 692. Calculate the remainder when u is divided by 65.
3
Suppose 0 = 3*y + 2*y - 1185. Calculate the remainder when y is divided by (-80)/15*(30/(-28))/(4/42).
57
Let s(m) = 2*m**3 - 75*m**2 - 43*m + 74. Let h be s(38). Let w = 132 + h. What is the remainder when 47 is divided by w?
15
Let m = -32883 + 32891. Calculate the remainder when 6775 is divided by m.
7
Let p = 8647 - 8550. What is the remainder when 244 is divided by p?
50
What is the remainder when (144317/(-831))/(3/(-63)) is divided by 12?
11
Let k(q) = -q**3 + 6*q**2 - 3*q - 10. Let l be k(4). Suppose 680 = l*f - 5*f. What is the remainder when f is divided by 36?
28
Suppose 13*q - 51 + 12 = 0. Calculate the remainder when (7/q + -2)/((-12)/(-2124)) is divided by 20.
19
Suppose -3*s = 2*j - 73, -13*j + 165 = -8*j + 10*s. Let t(p) = 10*p**2 - p - 4. What is the remainder when j is divided by t(2)?
13
Let c be 2/10*0 + 1 + -4. Let z(m) = -15*m - 9. Let b = 29 - 15. Calculate the remainder when z(c) is divided by b.
8
Suppose -5*j + 62*u = 59*u - 3984, u + 2396 = 3*j. What is the remainder when j is divided by 169?
125
What is the remainder when 2432/18 - ((-21)/(-9) - (-20)/(-9)) is divided by 119?
16
Suppose 107*r - 93*r - 1749 = -5*z, -2*z = 4*r - 498. Calculate the remainder when 3266 is divided by r.
116
Suppose 0 = -3*l + 39 + 9. Suppose -n = -0*n - l. Let g = 13394 - 13315. What is the remainder when g is divided by n?
15
Let f(m) = m**2 - 3*m + 2. Let g be f(4). Suppose -18*i + 37 = -35. Suppose 34 = g*h - i*h. What is the remainder when h is divided by 10?
7
Let n(v) = -v**3 + 6*v**2 + 12*v - 24. Calculate the remainder when 348 is divided by n(7).
7
Calculate the remainder when 193392/2244*(-66)/(-4) is divided by 50.
22
Suppose 5*g + 3*r = 8*r + 20, 3*r - 3 = 0. Suppose 5*u + 180 = g*f, 5*f = 10*f - 4*u - 177. What is the remainder when 62 is divided by f?
29
Let h = 60 - -36. What is the remainder when 4278/15 - 10/25*(-4)/(-8) is divided by h?
93
Let y(f) = f**3 + 15*f - 35. Let l be y(2). Suppose 1242 = 41*b - 38*b + l*k, 4*b - 3*k = 1670. What is the remainder when b is divided by 84?
80
Let b = 44 - 56. Calculate the remainder when 16 is divided by b/(-1 - 0/6).
4
Suppose 3*q - m - 262 = 0, -4*m + 32 + 255 = 3*q. Calculate the remainder when 427 is divided by q.
71
Suppose 3*k + 0 = 6. Suppose 36*p = -34*p. Suppose -3*c = -p*t - 5*t + 12, -5*t - 5*c = -20. Calculate the remainder when t is divided by k.
1
Suppose 0 = -5*w + 780 + 320. Calculate the remainder when w is divided by 58.
46
Suppose -2*c - 216 = -6*c - 2*l, 2*l + 44 = c. Let h be ((-6)/6*0)/(-4) + 4. What is the remainder when c is divided by (-1 + 118/h)*10/15?
14
Let x = -4263 - -4333. Let n(q) = 61*q**2 + 3*q + 1. Calculate the remainder when n(3) is divided by x.
69
Let m = 487 + -462. Suppose 9*g + 256 = m*g. Calculate the remainder when 202 is divided by g.
10
Suppose 6*v + 3*o = 10*v - 28, -2*v + o = -12. Let r = v + 28. What is the remainder when r is divided by 5?
2
Let t be (-4248)/(-42) - 8/56. Let 