- 378 = -2*b + 59. Suppose 19*a = -i + 24*a + 73, 0 = -4*i - 2*a + b. What is the remainder when i is divided by 13?
6
Suppose -2892 - 1161 = -7*g. Let x = 1106 - g. Calculate the remainder when x is divided by 12.
11
Suppose 60 = 5*w - 2*w - 4*j, 5*j = 0. Let a = -460 - -216. Let r = a - -322. What is the remainder when r is divided by w?
18
Let a(y) = 17*y - 122. Let t = 170 + -159. Calculate the remainder when 258 is divided by a(t).
63
Let g(m) = m**3 - 60*m**2 + 115*m + 112. What is the remainder when (-71)/(1/(-3) - 0) is divided by g(58)?
51
Let v(x) = -x**2 - 57*x + 201. Calculate the remainder when 2072 is divided by v(-59).
80
Let z be (300 - -24)*3/((-9)/(-2)). Let o = z - 93. What is the remainder when o is divided by 25?
23
Suppose 3*f = 4*n - 2*f - 51, 2*n - 4*f = 30. Let r = 2718 - 2702. What is the remainder when r is divided by n?
7
Calculate the remainder when 0 + (-5)/(-15) - (-40)/(-12) - -407 is divided by 108.
80
Suppose -108*s + 368477 + 180487 = 0. What is the remainder when s is divided by 2532?
19
Suppose -3430 = -2*q + 57*i - 55*i, 3454 = 2*q + 2*i. What is the remainder when q is divided by 54?
47
Suppose -41 = q - 5*n, -3*n = -4*q - q - 293. Let i = -65 - q. Calculate the remainder when 17 is divided by 2*(i/(-16) + 18/8).
2
Let i = 17 - 1. Suppose -277*a - 230*a + 40672 = -377*a - 38238. What is the remainder when a is divided by i?
15
Calculate the remainder when (-4)/(-3)*(-143955)/(-420) is divided by 110.
17
Suppose 4318 = -11*f + 6199. What is the remainder when f is divided by 57?
0
Let h(v) be the third derivative of v**4/6 + 71*v**3/2 - v**2 - 45*v. What is the remainder when 776 is divided by h(-43)?
38
Suppose -2*z = 3*a + 17, -3*z = a + 4*a + 27. What is the remainder when (5*18/75)/(z/(-250)) is divided by 7?
5
Let a = -22197 - -22234. Calculate the remainder when a is divided by -26*(4 - 36/8).
11
Suppose 3*y = -0*x - 3*x + 84, 2*x = -3*y + 85. Suppose -5*u + 303 = -157. Let c = u - 80. Calculate the remainder when y is divided by c.
5
Let m = -55 + 120. Let s be (-6)/14 + (-51)/(-21) + -5. What is the remainder when m is divided by (0 - s/(-9)) + 200/6?
32
Let z = 83 - -43. Let b = 365 - z. What is the remainder when b is divided by 24?
23
Suppose 4*c = 2*w - 16, 0 = -4*w + c + 44 - 33. Suppose p - 65 = -4*r, -w*r + 4*p = -p - 27. Let o = -11 + 25. Calculate the remainder when r is divided by o.
2
Let j(r) = -r**3 + 5*r**2 - 3*r + 4. Suppose 0 = 3*h - 4*a - 17, 0 = -h + 2*a - 0*a + 7. Calculate the remainder when j(h) is divided by 3.
1
Suppose 48*w + 24*w - 432 = 0. What is the remainder when 2 + 130 - (-55)/(-11) is divided by w?
1
Suppose 26*n + 2806 - 778 = 0. Suppose 2*t = 3*t + 21. Let q = t - n. Calculate the remainder when q is divided by 10.
7
Let h(y) = 57*y**2 + 453*y - 14. What is the remainder when 559 is divided by h(-8)?
9
Suppose 71 = 5*u + 56. Suppose u*n - 152 = -53. What is the remainder when n is divided by 20?
13
Suppose -4*a = 5*p - 1521, -3*a - 974 + 2114 = 3*p. Calculate the remainder when a is divided by 201.
178
Let v(q) = q**2 - 36*q - 29. Calculate the remainder when v(47) is divided by 239.
10
Let d be (-9)/((-63)/1379) - 8. Suppose 3*g - v - d = 0, -2*v - 316 = g - 6*g. Calculate the remainder when 368 is divided by g.
58
Let s = 18268 - 9494. What is the remainder when s is divided by 23?
11
Suppose 2*a = 2*n + 8, -4*a - 4*n + 30 + 2 = 0. Suppose 3*i + y = 18, -4*y + 9*y = -i + a. Calculate the remainder when i is divided by 6.
0
Let i(x) = 12*x**2 - 2*x - 20. Suppose -3*s = 3*f - 12, -3*f + 2*f + 5*s = 2. What is the remainder when 487 is divided by i(f)?
77
Let i(u) = 24*u - 404. What is the remainder when i(50) is divided by 58?
42
Suppose 0 = 15*p - 498 + 3. What is the remainder when 228 is divided by p?
30
Suppose 1 = -5*z - 19, 0 = -u + 2*z + 12. Let c(q) = -q + 15*q**2 + u*q - 2*q + 14*q**2 - 16 - q**3. What is the remainder when 89 is divided by c(29)?
11
Suppose i = 312 - 290. Suppose -1518 - 726 = -i*w. Calculate the remainder when w is divided by 54.
48
Let k = 15602 + -12040. What is the remainder when k is divided by 123?
118
Let s(o) = 78*o + 10. Let w be s(-5). Let p = w + 402. Calculate the remainder when p is divided by 3.
1
Let a = -683 + 686. Suppose -2039 = -a*o - 4*s, -5*o = 4*s - 4344 + 943. What is the remainder when o is divided by 38?
35
Let l be (1/(-2))/((-1)/12). Let v(w) = 32. Let n(a) = 2*a - 34. Let h(x) = 3*n(x) + 4*v(x). What is the remainder when h(l) is divided by 11?
7
Let b(k) = -45*k - 19. Let a be b(-6). Let q = a - 224. What is the remainder when 84 is divided by q?
3
Suppose -4*a - 5*r + 74 = -7*r, 3*a + 3*r - 60 = 0. Let o(h) = -h**2 - 36*h - 23. Calculate the remainder when o(-19) is divided by a.
15
Suppose 31*d = 28*d + 75. Let s(y) = y**2 - y + 8. Calculate the remainder when s(10) is divided by d.
23
Let h = 58 - 38. Let b = -323 + 327. Suppose -b*k + 2*v = -0*v - 548, 5*v = 5*k - 690. What is the remainder when k is divided by h?
16
Let n = -1037 + 1082. Calculate the remainder when 611 is divided by n.
26
Suppose 6*q = 4*m + q - 1735, -3*m + 1304 = -q. What is the remainder when m is divided by (-5 + 6 - 2)*-19?
17
Suppose 19*g - 95*g = -487*g + 224817. Calculate the remainder when g is divided by 147.
106
Suppose -32*t + 35315 - 8915 = 0. Calculate the remainder when t is divided by 147.
90
Let m = -451 - -449. What is the remainder when 671 is divided by m*6/30 + (-216)/(-15)?
13
Let m = 349 + -230. Suppose 0 = s, -4*i = -5*s - 603 + m. Calculate the remainder when i is divided by 43.
35
Suppose -3 = 3*x + 141. Let s = -52 - x. Calculate the remainder when 106 + s + 1 + -1 is divided by 27.
21
Let t(n) = -695*n - 5860. Calculate the remainder when t(-11) is divided by 354.
15
Let f = -4659 + 4954. Calculate the remainder when f is divided by 108.
79
Suppose 1207 = 6*d + 73. What is the remainder when 222 is divided by d?
33
Suppose -4*c = -7 - 21. Suppose 0 = -8*m + c*m + 20. Suppose -10*h + 90 = -m. Calculate the remainder when 43 is divided by h.
10
Let d = -45 - -92. Let v = 1157 + -1144. What is the remainder when d is divided by v?
8
Let d(z) = -4 + 13*z**2 + 376*z**3 - 5*z**2 + 11*z - 375*z**3. Let n be d(-6). Calculate the remainder when 4 is divided by 10/n - (-11 + 13).
1
Let a(u) = 14*u - 80. Let r = -386 - -394. Calculate the remainder when 1 + (0 - 0 - -156) is divided by a(r).
29
Let l be ((-515)/(-2) - (-5)/10) + 2. Let w = 584 - l. Suppose -5*x = 3*i - w, 5*i - 27 = -4*x + 227. What is the remainder when x is divided by 17?
15
Let m be -3 + 24/4 + -2. Suppose -5*r - m = -41. Calculate the remainder when 50 is divided by ((-371)/(-4))/7 - 2/r.
11
Suppose 0*j + j - 7 = 0. Let u = -225 + 235. Calculate the remainder when (18 - 1)*(11 - u) is divided by j.
3
Let d(y) = 5*y**2 - y + 3. What is the remainder when -5 + 15990/(-1025)*(-40)/6 is divided by d(-3)?
48
Let n = 118 + -91. Suppose r + n = 4*b, 4*r + b - 5*b + 48 = 0. Let u(a) = -3*a + 19. Calculate the remainder when 159 is divided by u(r).
39
Let t(q) = -q**2 - 5*q + 754. Suppose -2*r - 3*r + 275 = -5*h, 3*r = -3*h - 183. Let m = h - -111. Calculate the remainder when t(21) is divided by m.
49
Suppose 10*h + 115 = -65. What is the remainder when 582 is divided by 876/h*(-6)/4?
71
Suppose c + 4*k - 25 = -k, 0 = 5*c + 3*k - 147. Suppose -3*j = -8*j + c. Calculate the remainder when 12 + 3 - 1/((-2)/4) is divided by j.
5
Let n(m) = -m**3 - m**2 + 18*m - 7. Suppose -7 = c + 1. Let u = c + 16. What is the remainder when u is divided by n(-5)?
2
Let o(d) = d**3 + d**2 + d + 2. Suppose -4*y - 5 = 3*q + 4, 0 = -2*q - y - 6. What is the remainder when o(0) is divided by q/(-2) - (-19)/38?
0
Suppose 5*y = 49*r - 48*r - 144, 3*r - 4*y = 344. What is the remainder when 299 is divided by r?
91
Suppose -r + 150 = 14*r. Calculate the remainder when 62 is divided by (-66)/(-4)*r/(5 - 0).
29
Suppose -147*d + 3736 = -1556. Calculate the remainder when 565 is divided by d.
25
Suppose 2*z - 120 = -3*h + 6*z, 0 = -5*h - 4*z + 200. Suppose 1114*w + 158 = 1112*w. Calculate the remainder when (w*25/10)/((-25)/20) is divided by h.
38
Suppose 86*f - 19518 = 30104. What is the remainder when f is divided by 12?
1
Suppose -3*d - 4*g = -3*g - 9, 2*g = d - 10. Suppose -d*u +