he remainder when (-19482)/(-102) - (-16)/(-2) is divided by 93?
90
Suppose -196 = -5*j - 6. Suppose 3*n = -48 + 51. Let g(b) = 19*b + 2. Calculate the remainder when j is divided by g(n).
17
Let p = 5310 - 5248. Calculate the remainder when 978 is divided by p.
48
Let b = -2418 - -2657. What is the remainder when b is divided by 6*((-5)/(-2) + 2)?
23
Suppose -y + 0*y = 3*x - 5, -4*x + 5 = 3*y. Suppose -f + 13 = 2*p, 2*f + x*f = -p + 66. Let c = -184 + 249. What is the remainder when c is divided by f?
14
Calculate the remainder when 648 is divided by (-20)/(-8)*(-42108)/(-165).
10
Suppose 679*v - 112 = 330*v + 333*v. What is the remainder when 271 is divided by v?
5
Let a(v) = 2*v + 48. Suppose -3*h + 2*n + 1 = -2*h, 2*h - n = 5. Suppose h*w - 4 = 113. What is the remainder when w is divided by a(-12)?
15
Let u = 8 + -4. Let v = 3980 + -3957. Suppose -3*n = -3*o + 54, -v = u*o - 5*n - 100. What is the remainder when 37 is divided by o?
11
Let n(v) = 2*v - 19. What is the remainder when (-670)/(-8 + 3) - 0 is divided by n(20)?
8
Suppose -17 + 48 = s - 2*y, 0 = -y. Let c(j) = j**3 + 13*j**2 + 12*j + 4. What is the remainder when c(-10) is divided by s?
29
Suppose 12*l + 20 = 14*l. Let g be ((-4)/(-6))/(l/705). Suppose -3*c + 5*s = -5*c + g, 4*c - 70 = -2*s. Calculate the remainder when 123 is divided by c.
11
Suppose 66*d - 37345 = 11*d. Calculate the remainder when d is divided by 40.
39
Let h(v) = 12*v - 14. Let z be h(9). Let x(t) = -t**3 - 21*t**2 - 2*t + 38. Let j be x(-21). Let q = z - j. What is the remainder when 36 is divided by q?
8
Suppose 2*k + 2*v = 16, -5*k = -5*v - 1694 + 1584. Let r(b) = b**3 - 3*b**2 - 5*b + 6. What is the remainder when r(5) is divided by k?
1
Let f(n) = -2*n**3 - 44*n**2 - 45*n - 324. What is the remainder when f(-22) is divided by 32?
26
Let z be (330/20)/((-1)/2). Let t = 71 + z. Let f = 939 - 929. What is the remainder when t is divided by f?
8
Suppose 152 = -5*n + 9*n + 2*b, 0 = 2*n + 3*b - 84. Suppose -q + 6 = 37*y - n*y, -2*q - 3 = -y. Calculate the remainder when 0 + 45 - (0 + 1) is divided by y.
4
Suppose 8*f = -3*d + 4*d + 1080, 0 = -5*f + d + 675. Calculate the remainder when f is divided by 5.
0
Let u = 342 - 329. Suppose -t + 5*s = -81, -18*s + u*s = -2*t + 147. What is the remainder when 209 is divided by t?
11
Suppose -549*p - 1107 = -672*p. What is the remainder when 32 is divided by p?
5
What is the remainder when (-4 - (-98)/21)/(44/21318) is divided by 106?
5
Suppose 17595 + 41571 = 38*s. What is the remainder when s is divided by 87?
78
Let u(d) = -8*d**2 - 10*d - 5. Let s be u(6). Let o = 490 + s. What is the remainder when o is divided by 18?
11
Let j(y) = 34*y + 1262. Calculate the remainder when 1378 is divided by j(-27).
2
Suppose -5*a = -2*f + 1103, 18*f - 4*a = 13*f + 2681. What is the remainder when f is divided by 70?
39
Let v(d) = 102*d + 1359. Calculate the remainder when 699 is divided by v(-13).
6
Let w(c) = 219*c**2 - 166*c - 3. What is the remainder when 1690 is divided by w(2)?
67
Suppose -5*t = -13 - 27. Suppose -2 = -5*o + t. What is the remainder when 70 is divided by (300/(-80))/(o/(-8))?
10
Suppose 3*b - 9*a - 29 = -7*a, 49 = 5*b - 4*a. Suppose q = -j + 14, 7 = -2*q + b. What is the remainder when 20*6*5/40 is divided by j?
2
Let o = 643 - 643. Suppose -h + o = -3*d + 1, -2 = -h. Let s(c) = 2*c**2 - 2*c. What is the remainder when s(2) is divided by d?
0
Suppose -3*p - t = -60, 3*p + 0*t = 5*t + 78. Suppose 28*i = p*i + 763. Calculate the remainder when i is divided by 33.
10
Suppose -6*x + 305 = -145. Suppose -4*h + 9*h = x. What is the remainder when h is divided by ((-4)/(-7))/(3/21)?
3
Let v = 31 + 71. Suppose 3*n + i + 4 - 48 = 0, -3*i - 3 = 0. Let s = n - 2. Calculate the remainder when v is divided by s.
11
Let t be (-2553)/46*(-4)/2 + -4. Suppose -183 - t = -5*j. Calculate the remainder when j is divided by 17.
7
Suppose -3142 = -5*v - 2*j, 5*v = 4*j + 4608 - 1472. What is the remainder when v is divided by 55?
23
Let w = -8 + 12. Suppose -8*r = 311 + 305. Let v = r + 84. What is the remainder when v is divided by w?
3
Calculate the remainder when (-10809)/(-54) + (-7)/6 is divided by 70.
59
Suppose 4*x - 3*i = 572, -2*x - 4*i = 70 - 356. Calculate the remainder when 163 is divided by x.
20
Let n = -445 + 453. Suppose 5*w = 4*v + 72, 18*v - 14*v = n. Suppose 0 = -3*u - 0*u + 15, u - 14 = -3*k. What is the remainder when w is divided by k?
1
What is the remainder when 388 is divided by (40/50)/(1/35)?
24
Suppose -2520 = 241*k - 244*k. Calculate the remainder when (k/(-49))/(2/(-7)) is divided by ((-51)/9)/((-1)/3).
9
Let s = 634 - 576. Calculate the remainder when 297 is divided by s.
7
Suppose -s - 53 = 3*z, 2*s + 2*z = 6*s + 240. Calculate the remainder when (-8142)/s + -5*1 is divided by 23.
18
Suppose r - 3*j = -7*j + 478, 5*r = 2*j + 2368. Let c = r - 436. What is the remainder when c is divided by 8?
6
Suppose -33 - 107 = -7*z. Let h(u) = 2*u**3 - 4*u**2 + 36*u - 10. Calculate the remainder when h(4) is divided by z.
18
Let w(l) = 3*l**3 - 43*l**2 + 108*l + 186. Suppose -3*m = -155 + 26. What is the remainder when w(4) is divided by m?
36
Suppose -3*l + l - 4*k = -106, 5*k = -2*l + 105. Suppose -120 = 10*u - 7*u. Let d = l + u. Calculate the remainder when 29 is divided by d.
14
Suppose -30*a - 64 + 1984 = -6*a. What is the remainder when 793 is divided by a?
73
Let b(v) = 2*v**3 + 3*v**2 + 5*v + 4. Let c be b(5). Let p = 359 - c. Calculate the remainder when 21 is divided by p.
1
Let l(z) = -38*z - 1170. Calculate the remainder when 559 is divided by l(-32).
7
Let c(d) = 4*d**3 + 6*d**2 - 28*d + 8. Let i be c(-6). What is the remainder when (-19942)/i + (2/(-8))/1 is divided by 24?
18
Let c = -2582 + 4576. Calculate the remainder when c is divided by 7.
6
Let q be 624/78 - (9 + -1). Suppose -4*s + 19*s - 1545 = q. Calculate the remainder when s is divided by 31.
10
Let s = -564 + 569. Suppose 0 = -s*j + 972 + 313. Calculate the remainder when j is divided by 9.
5
Let f be (72/(-56) - 2/(-7))/(-1). Calculate the remainder when 5909/76 + f/4 is divided by 28.
22
Let p(c) = 31*c**2 - 735*c + 34. Calculate the remainder when p(24) is divided by 60.
10
Suppose 4948 = 174*h + 1816. What is the remainder when 499 is divided by h?
13
Suppose 2*r + 6 = 2*l, 2*r = -3*l + 6 + 8. What is the remainder when (-100939)/(-5230) + 3/(-10) is divided by l?
3
What is the remainder when (-352)/(-5)*165/22 + 0 is divided by 13?
8
Let o = 58 - -48. Suppose 3*a = -2*r + o, 3*a + 159 = 7*r - 4*r. Calculate the remainder when 105 is divided by r.
52
Suppose 2*p = 20 - 2. Suppose -p*r + 138 = -3*r. Calculate the remainder when 202 is divided by r.
18
Let b = -20526 + 23444. What is the remainder when b is divided by 37?
32
Let v be (1 + -1 - 3)*-3. Suppose -580 = 65*j + 51*j. What is the remainder when 7 is divided by j/(5/2) + -4 + v?
1
Let k = -31474 - -33165. Calculate the remainder when k is divided by 351.
287
Suppose 3*m - 1440 = -3*q, m + 483 = q - m. What is the remainder when q is divided by 195?
91
Let q(t) = -t**3 - 2*t**2 + 13*t - 5. Let k be q(-5). Suppose -13*p + 14*p - 2*g = 82, 313 = 4*p - k*g. Calculate the remainder when 284 is divided by p.
68
Let d be (72/21 - 4)*14/(-2). Suppose j + 3*x - 8 = 0, 5*j = 3*j + d*x + 46. Calculate the remainder when ((-3)/6)/((-2)/200) is divided by j.
16
Suppose -40 = -2*o + 3*i, i = -85 + 81. What is the remainder when 208 is divided by o?
12
Let d = 6058 + -5998. Calculate the remainder when d is divided by 33.
27
Suppose 20*r - 3490 = -1385 + 10715. What is the remainder when r is divided by 92?
89
Suppose 5*l + 12152 = 4*f, 6759 - 21978 = -5*f - l. Suppose 0 = -19*p + 2*p + f. What is the remainder when p is divided by 18?
17
Let w = 1856 - 1442. What is the remainder when w is divided by 105?
99
Let d = 19562 + -19538. What is the remainder when (34/(-5))/((-1)/5) is divided by d?
10
Suppose 8*r + 438 = 1718. Suppose -15*t + 13*t + r = 0. What is the remainder when t is divided by 27?
26
Suppose -a + 4 + 31 = 5*k, 0 = 3*a - k - 41. What is the remainder when (-3)/6*(-79 - 1) is divided by a?
10
Let q be (24/(-45)*-24)/(1/5). Suppose -i + 20 = -q. Suppose 2*r + 2*r - i = 0. What is the remainder when 82 is divided by r?
1