 14*m = -a. Calculate the remainder when m is divided by 7.
4
Suppose 6*f + 1005 = -3*f + 24*f. What is the remainder when 983 is divided by f?
45
Let i = 170 + -168. Suppose -2*t = -p - 21, 0 = i*t + 2*p - p - 15. What is the remainder when t is divided by 3?
0
Let p(u) = -21*u + 1. Suppose 4*g + 1 = 17. Suppose -g*q = 8*q - 2028. Calculate the remainder when q is divided by p(-2).
40
Calculate the remainder when 2/(-6) - (-30081056)/1104 is divided by 52.
51
Let i = -101353 - -101910. Let l = 70 + -30. What is the remainder when i is divided by l?
37
Let a(l) = -l + 15. Let t = -15318 + 15346. What is the remainder when t is divided by a(0)?
13
Calculate the remainder when 98 is divided by 140/(-20)*(-78)/42.
7
Suppose 381 = 3*a + 54*n - 51*n, -2*a + 4*n = -266. Calculate the remainder when a is divided by 16.
1
Suppose -10*h + 4*h + 174 = 0. Let b = h + -1. Calculate the remainder when 1130/(10 + 0) + -7 is divided by b.
22
Suppose -2112 = -h - 7*h. Suppose 13*t - 5*t + h = 0. Calculate the remainder when -3 - -3 - t - 3 is divided by 11.
8
Suppose 822 + 390 - 150 = 18*t. What is the remainder when 135 is divided by t?
17
Let t(m) = 50*m - 483. Suppose 46 = 4*j + 3*z, 2*z + 26 = 9*j - 6*j. Let w = -43 - -104. Calculate the remainder when w is divided by t(j).
10
Let x = 582 + -563. Calculate the remainder when 1480 is divided by x.
17
Let t(f) = f**3 - 15*f**2 + 59*f + 21. Calculate the remainder when 194 is divided by t(6).
41
Let i = 1192405 + -1192391. Let u(w) be the second derivative of -w**5/20 + 5*w**4/12 + w**3 + 4*w**2 + w. Calculate the remainder when i is divided by u(6).
6
Let c = -2762 + 4783. What is the remainder when c is divided by 75?
71
Suppose -2*u - 2*u - 5*g + 45 = 0, -5*u = 4*g - 45. Suppose -6*i - 148 = -4*a - u*i, -a + 4*i = -37. What is the remainder when 104 is divided by a?
30
Let b = -6528 - -6542. Calculate the remainder when 222 is divided by b.
12
Let x(a) = -a**2 - a - 9. Let q be x(4). Let u = q + 36. Calculate the remainder when (-2 + 1)/(u/(-273)) is divided by 14.
11
Suppose -17*k = -926 + 773. What is the remainder when 1147 is divided by k?
4
Let v(q) = 34*q**2 + 2*q - 1. Suppose -4*r = -20, 4*f + 184 = r + 731. What is the remainder when f is divided by v(1)?
33
Let b(m) = 7*m**2 + 7*m - 41. Suppose w - 37*w = 216. Calculate the remainder when b(w) is divided by 29.
24
Let o = 9 + 8. Let z(h) = -h**2 - 5*h. Let s be z(-1). Suppose -s*v + 190 = 2*c, -5*c + 155 + 80 = 5*v. What is the remainder when v is divided by o?
14
Let j(g) = -g**2 - 129*g + 4406. What is the remainder when j(28) is divided by 7?
3
Suppose -3*u - 7*u = 0. Suppose -5*q + 2*c + 3183 = u, -5*c + 2543 = 4*q - 10*c. What is the remainder when q is divided by 80?
77
Suppose 52 + 355 = -11*g. Let x = 163 + g. Calculate the remainder when x is divided by 26.
22
Let n(d) = 5*d**2 - 132*d + 128. Calculate the remainder when 87 is divided by n(26).
11
Let g = 23 + 198. Suppose s - 236 = -2*s - 4*x, 0 = -3*s - x + g. Suppose s*y = 68*y + 28. What is the remainder when 8 is divided by y?
1
Let j(g) = g**3 - 2*g**2 + 7*g + 2. Let u be j(-3). Calculate the remainder when (u + 26)/((-1)/2 - 0) is divided by (-3)/(-10) - (-856)/80.
10
Let x(d) = 19*d + 57. Calculate the remainder when x(6) is divided by 5*1/2*(4 + 6).
21
Suppose -32 = -4*r - 2*c + 248, 5*r + 5*c - 360 = 0. What is the remainder when r/6*(-7 - -10) is divided by -1 - (-19 + (-4 - -4))?
16
Let n = 4987 - 4745. Calculate the remainder when 977 is divided by n.
9
Calculate the remainder when (102 + -11)/7 - -403 is divided by 89.
60
Suppose 113510 = 1029*w - 24630 + 36269. Suppose 3*g = -6*k + k + 90, 0 = 4*g - 4*k - 152. What is the remainder when w is divided by g?
29
Let i(t) = t**3 - 48*t**2 + t + 517. What is the remainder when i(48) is divided by 312?
253
Let v = -563 - -568. Let u(l) = 5*l + l - 3 + 0*l - l**2. Calculate the remainder when 11 is divided by u(v).
1
Let a be -2 - ((-17)/8 + (-21)/(-168)). Calculate the remainder when (-17 + -3)*((-19)/4 - a) is divided by 49.
46
Let r = -2567 + 2606. What is the remainder when 654 is divided by r?
30
Let m(g) = -2*g**3 + 38*g**2 + 13*g - 70. Let r be (3 - 35/10)*-38. What is the remainder when m(r) is divided by 49?
30
Let n(v) be the second derivative of 5*v**3/6 + 59*v**2/2 - 16*v - 2. Calculate the remainder when 59 is divided by n(-11).
3
What is the remainder when 209 is divided by 6 + ((-96)/(-42))/4 + 180/28?
1
Let h(w) = w**3 - 5*w**2 + 2*w + 1. Calculate the remainder when ((-700)/(-70))/(45/126) is divided by h(5).
6
Suppose -534*g = -460*g - 1110. Calculate the remainder when -4*((-4)/(-2) - 9) is divided by g.
13
Let v = -12407 - -12885. What is the remainder when v is divided by 15?
13
Let f = -356 + 358. Suppose -f*l = -3*j + 26, -18*j + 21*j - l = 31. What is the remainder when 106 is divided by j?
10
Let h(f) = 101*f + 6007. Calculate the remainder when 4076 is divided by h(-59).
44
Let y(w) be the first derivative of -26*w**4 - 2*w**3/3 - 3*w**2/2 - 2*w - 9. Suppose -126 = 157*b - 163*b. What is the remainder when y(-1) is divided by b?
19
Suppose -6*p = -4*p - 40. Suppose 0 = -p*x + 16*x + 264. Let l = x - 31. Calculate the remainder when l is divided by 9.
8
Let n(t) be the second derivative of -5*t**3/6 - 31*t**2/2 + 17*t. Calculate the remainder when 15 is divided by n(-7).
3
Let h(o) = -o**3 + o**2 + 13*o - 19. Let d be h(3). Suppose 0 = d*n - b - 62, 5*n - 10*b - 150 = -5*b. What is the remainder when n is divided by 27?
5
Suppose -3*u + 374 = -1051. Calculate the remainder when u is divided by 125.
100
Let t be ((-126)/15 - -9)/((-2)/(-60)). What is the remainder when 12/(-4*(-2)/36) is divided by 224/20 + t/(-90)?
10
Suppose v + 4*a - 24 = 0, 4*v = 5*a - 3*a + 132. Calculate the remainder when 1341 is divided by v.
29
Let y(b) = -4*b - 8. Suppose s + 5*u = 198 - 31, 3*u = -3*s + 465. Suppose 318 = 5*m - s. Calculate the remainder when m is divided by y(-6).
14
What is the remainder when (1/(-92)*23)/((-5022)/(-5024) - 1) is divided by 280?
68
Let j(i) = -6*i + 5. Let v(g) = -7*g + 4. Let q(y) = 5*j(y) - 4*v(y). What is the remainder when 100 is divided by q(-6)?
16
Suppose 0 = -16*k + 20*k + 4*r - 176, 2*k = -r + 83. Calculate the remainder when 132 is divided by k.
15
Let o(x) = -21*x - 1593. What is the remainder when 256 is divided by o(-79)?
58
Suppose 4*k + l - 1224 = -2*k, -4*k + 4*l + 816 = 0. Calculate the remainder when k is divided by 148.
56
Let s = 30 + 6. Suppose -3*j = 5*k + 2, 5*k - 5*j = -3*j + 18. What is the remainder when s is divided by -5 - -17 - -4*(-1)/k?
6
Suppose -379362 + 108279 = -109*b. What is the remainder when b is divided by 274?
21
Suppose -2*n = 4*k + 3*n - 11, -3*k - 3*n = -12. What is the remainder when (-995)/(-15) + (-3)/k is divided by 10?
6
What is the remainder when 3348 is divided by (-26 - (-4922)/115) + (-1)/(-5)?
16
What is the remainder when 652 is divided by (1870/(-40) - -18)*2/2*-4?
77
Let t(d) = -42*d**3 - 10 - 2 + 41*d**3 + 13*d**2 + 17*d. Suppose -7 + 87 = 5*j. What is the remainder when t(14) is divided by j?
14
Let d(f) = f**2 + 8*f - 634. What is the remainder when 1216 is divided by d(-30)?
20
Suppose 3*j + 5*r - 5146 = 0, -5*j - 2*r = 1821 - 10423. Calculate the remainder when j is divided by 343.
7
Calculate the remainder when ((-11130)/12)/(-7)*(-336)/(-5) is divided by 61.
59
Suppose 11189 = -29*c + 138*c + 2033. Calculate the remainder when 90 is divided by c.
6
Suppose 0 = 8*a - 447 + 159. Calculate the remainder when a is divided by 5 - (2/4)/((-11)/66).
4
Let j(u) = 19*u - 229. Calculate the remainder when j(18) is divided by 5.
3
Suppose 24*z - 5860 = 4604. Calculate the remainder when z is divided by 14.
2
Suppose 2*i - 132 = 2. Suppose 4*y + 13*y - y = 1264. Calculate the remainder when y is divided by i.
12
Suppose -31 = 2*b - 5*b - 2*m, 1 = b - 4*m. Let k(i) = -23*i - 4. What is the remainder when k(-4) is divided by b?
7
Let d(c) = -3*c**3 + 2*c**3 + 2*c**3 - 7*c + 3*c**2 + 0*c**2 - 8. Let k be (-12)/(-4) - (-2 + -1)/3. What is the remainder when d(k) is divided by 26?
24
Let y(d) = 3*d**2 - 3*d**2 - 20 + 6 + 6*d + 3*d**2. Let x be (54/(-6) - -4) + -3 + 0. What is the remainder when y(x) is divided by 45?
40
Suppose -448*i = -449*i