lculate the remainder when a is divided by 30*(m - (-3)/2).
14
Suppose -2479 = -5*y + 3*k, 0 = -y - k + 250 + 257. Calculate the remainder when y is divided by 18.
14
Calculate the remainder when 4768 is divided by 5*2 + (27/(-27) - -6).
13
Let r(z) = -z**3 + 7*z**2 - 8*z + 9. Let t be r(5). Let o = -13 + t. Calculate the remainder when 19 is divided by o.
1
Suppose 3*z = -8*z. Suppose -l = -3*d + 8, z = d - 10*l + 9*l - 4. What is the remainder when 27 is divided by d?
1
Let w = -7398 - -7410. What is the remainder when 803 is divided by w?
11
Suppose -48158 = -5*m + d, -68*m + d - 38530 = -72*m. What is the remainder when m is divided by 12?
8
Let s(d) = 268*d - 1030. What is the remainder when s(8) is divided by 222?
4
Let c(v) = 9*v - 364. Suppose -n - 96 = -3*n. Suppose -4*i - 5*g = -0*i - n, -4*g = 3*i - 37. What is the remainder when i is divided by c(41)?
2
Suppose 7*h = -132 + 69. Let d(a) = -a**3 - 8*a**2 + 6*a - 2. Calculate the remainder when 174 is divided by d(h).
24
Let y = 555 + -551. Suppose b + 5*j = 198, -5*b = y*j - 469 - 626. Calculate the remainder when b is divided by 45.
43
Let d = 519 + -237. Calculate the remainder when d/2 - (-3)/1*-1 is divided by 21.
12
What is the remainder when 438/1314*(8919 - 0) is divided by 229?
225
Suppose -75*b + 631 = -6*b + 10. Let z be 0/1 - (-62 - 1). Suppose 0 = -16*p + b*p + z. What is the remainder when 23 is divided by p?
5
Suppose 2*t + 315 = 99. Suppose 0 = 264*b - 267*b + 546. Let j = b + t. Calculate the remainder when j is divided by 19.
17
Let z(q) = -q**3 + 9*q**2 + 10*q + 7. Suppose 5*v = 2*o + 8, 54 = 5*o + 4*v + 8. Calculate the remainder when (0 - (o + -4)) + (-1 - -29) is divided by z(10).
5
Let n be (-6)/2*-1*65/39. Suppose n*g + 4*j = 106, 8 = -g - 4*j + 26. What is the remainder when 127 is divided by g?
17
Suppose 0 = -76*x + 25338 + 52550 + 20532. Calculate the remainder when x is divided by 14.
7
Suppose 17*p + 8*p + 25 = 0. Calculate the remainder when (-9)/(-9) + 34*(p - -3) is divided by 50.
19
Suppose -167 = 10*l - 487. Suppose -3*f + 4*c + l = 10, -c - 48 = -5*f. What is the remainder when 178 is divided by f?
8
Calculate the remainder when (255/10*1)/((-1)/(-18)) is divided by (-43)/602*(-4)/(-1)*-35.
9
Let h = -20883 - -21421. Calculate the remainder when h is divided by 91.
83
Suppose -259*a + 2996 = 426*a - 429. Calculate the remainder when 3509 is divided by a.
4
Suppose -17*l + 109 = 24. Suppose l*t + 0*t - 2*z = 2014, 5*t + 2*z - 2006 = 0. Calculate the remainder when t is divided by 37.
32
Suppose -w + 13*w - 48 = 0. Suppose 0 = -0*g + 5*g + w*x - 48, 0 = 5*g - 4*x - 72. What is the remainder when 95 is divided by g?
11
Let u(w) = -w**2 - 3*w + 19. Let i(s) = 17*s + 15. What is the remainder when i(3) is divided by u(0)?
9
Let i(c) = -c**3 + c**2 + 3*c + 3. Let z be i(-2). Suppose -z = -2*a + 21. Suppose 7*t + a = 10*t. Calculate the remainder when t is divided by 3.
2
Suppose 2353 = 6*m + 7*m. Let d be 6/((-72)/(-33))*(-24)/(-3). Let t = d + 9. What is the remainder when m is divided by t?
26
Suppose -152 = 4*y + 3*z, -5*y - 2*z - 141 - 42 = 0. Let w = 105 + y. Calculate the remainder when w is divided by 8.
6
Let g = -2957 + 3787. What is the remainder when g is divided by 414?
2
Suppose 0 = 263*a - 210*a + 89 - 301. Calculate the remainder when 1759 is divided by a.
3
Suppose 0 = -2*v - 2*i + 58, 3*v + 2*i + 173 = 264. What is the remainder when 987 is divided by v?
30
Suppose -89*g + 23220 = -51451. What is the remainder when g is divided by 141?
134
Suppose -12 = -3*b + 3*j, 26 = b + 3*b - 2*j. Suppose 0 = b*i - 24*i + 16275. Suppose 5*x = 95 + i. What is the remainder when x is divided by 48?
44
Suppose 100*r + 3*r - 2580 = 17*r. Let g = 13 - 36. Let c = g + r. What is the remainder when 22 is divided by c?
1
Let s(b) = -29*b**3 - 2*b - 1. Let v = -9778 - -9985. What is the remainder when v is divided by s(-1)?
27
Let h = 77 - 61. Suppose 111*q - h = 109*q. Calculate the remainder when 52 is divided by q.
4
Calculate the remainder when (1 - -90)/(-71 - -72) is divided by 31.
29
Let z = 195 - 73. Suppose -6*y + 22 = -z. Calculate the remainder when 43 is divided by y.
19
Let u(y) = -32*y + 440. Calculate the remainder when 637 is divided by u(4).
13
Suppose -2*v = v. What is the remainder when 51 is divided by (-16)/((-64)/(-12)) + (v - -22)?
13
Suppose 14*j - 13*j = 0. Let x(t) = -t**3 - t**2 + 6*t + 2. Calculate the remainder when x(-4) is divided by j + -6*(-35)/30.
5
Let z(y) = -y**3 - 13*y**2 + 16*y + 31. Let m be z(-14). Suppose 10*k = m*k + 168. What is the remainder when 67 is divided by k?
19
Suppose -2*c - 3*g + 1100 = 0, 1100 = 2*c - g - 2*g. Suppose 10*i + 1330 = -c. Let q = i + 318. Calculate the remainder when q is divided by 34.
28
Let d(y) be the second derivative of y**5/20 - 19*y**4/6 - 41*y**3/6 + 87*y**2/2 - y + 12. What is the remainder when d(39) is divided by 3?
0
Let n = 15 - 13. Suppose 0*h + 5*h = w + 170, 43 = h - n*w. Let y(d) = -d**3 - 25*d**2 - 118*d + 4. Calculate the remainder when y(-5) is divided by h.
28
Suppose -22 = 13*m - 48. What is the remainder when 6/6*15/6*m is divided by 4?
1
Suppose 134*x = -300 + 23616. Let y(q) = 14*q + 1. Calculate the remainder when x is divided by y(1).
9
Suppose 0 = 460*f + 455 - 2299 - 2296. Calculate the remainder when 5543 is divided by f.
8
Suppose 2*i - 3*q = 277, 0*q - 5*q + 543 = 4*i. What is the remainder when i is divided by ((-9 + -10)/(-76))/((-2)/(-312))?
20
Let r = -45 - -63. Let a be (-75)/(-27) + -3 - (-40)/r. Calculate the remainder when ((-6)/12)/(a/(-108)) is divided by 14.
13
Let q = -24 + 35. Suppose -1 = 7*t + 209. Calculate the remainder when 30/(-4)*(-3)/((-27)/t) is divided by q.
3
Let w = -33 - -20. Let s = 68 + w. Suppose -25*n = -35*n - 5*i + 255, i = 3*n - 89. Calculate the remainder when s is divided by n.
27
Let h = 10578 + -10539. What is the remainder when 1168 is divided by h?
37
Calculate the remainder when (-5 - -3) + -15 + 38 is divided by (1 + 2 - 2)*17.
4
Suppose -b - 58 = -3*d, -5*b + 6*d - 260 = d. Let t = 55 + b. Suppose -3*m + t + 15 = 0. What is the remainder when m is divided by 3?
1
Suppose 3*p = -5*w + 2175 + 1959, -5*w = p - 4138. Suppose -24*t + 4116 = -w. Calculate the remainder when t is divided by 19.
16
Suppose 39*k - 976 = 7487. Calculate the remainder when k is divided by 90.
37
Let w(t) = -105*t + 575. Calculate the remainder when 227 is divided by w(5).
27
Suppose 3*p + 9 = 0, -2*p = v - 290 - 397. Calculate the remainder when (-3)/2 + (v/6 - 0) is divided by 15.
9
Suppose 3*f = f + 110. Calculate the remainder when (-544)/(4/(7/(42/(-12)))) is divided by f.
52
Let r = 258 - 70. Suppose 5*v - v - r = 0. Calculate the remainder when v is divided by 12.
11
Let v(o) = 44*o - 2194. Calculate the remainder when v(107) is divided by 28.
22
Let w(q) = -2*q**3 + 8*q**2 + 9*q + 3. Let u be w(-4). Suppose u*k - 100 = 203*k. What is the remainder when 70 is divided by k?
0
Let u(j) = 2*j**2 + 4*j - 2. Let v be u(-2). Let i = v + 7. What is the remainder when 19 is divided by i?
4
Let t be 4*((-4)/(-1) - -10). Let r = t - 17. What is the remainder when 231 is divided by r?
36
Let x(j) = 4*j - 2. Let n(v) = -11*v + 258. Let f be n(25). Let k = 65 - f. Calculate the remainder when k is divided by x(4).
12
Suppose 209 = 3*q - 4*s - 297, 0 = -q + 5*s + 165. Calculate the remainder when 315 is divided by q.
145
Let r = 394 - 388. What is the remainder when r/45 + 4*478/60 is divided by 12?
8
Suppose 3*m + 67 = u - 18, -4*u = m - 366. Suppose 3*t - 116 = u. Let k = 81 - t. What is the remainder when 56 is divided by k?
8
What is the remainder when 879 is divided by (7 - (-11)/((-308)/(-20)))/(2/21)?
69
Let h(k) = -4*k**2 + 8*k + 6. Let v be h(3). What is the remainder when 12/v*30/(-12) is divided by 5?
0
Let c = 23 - -14. Let q = 16 - c. Let z = 52 + q. Calculate the remainder when z is divided by 17.
14
Suppose 0 = -6*k + 40 - 118. Let l(d) = -7*d - 50. Calculate the remainder when 78 is divided by l(k).
37
Suppose -2 = -2*z - u + 5, 25 = 2*z - 5*u. Suppose -4*c = 5*y - 275, -z*c - y + 346 = 3*y. Let i = -58 - -66. Calculate the remainder when c is divided by i.
6
Suppose 15 = -33*y + 38*y. Let m(r) be the second derivative of r**5/10 -