x = -3, 5*z - 6*z = 4*x + 31. Suppose -5*a - 4*h = 29 + 36, 0 = -4*a - 3*h - 51. Calculate the remainder when (0 - -265)*a/z is divided by 9.
6
Suppose -908 = -3*q - 4*f, 4*q - 5*q - 4*f + 292 = 0. Let i be q/21*(-3)/2. Let m = 1 - i. Calculate the remainder when m is divided by 14.
9
Suppose 474*c = 439*c + 735. Calculate the remainder when 191 is divided by c.
2
Suppose 0 = -3*o + 47 + 13. Calculate the remainder when 3/4*14/(-21) - (-596)/8 is divided by o.
14
Let d(y) = -4*y**2 + 50*y + 19. Calculate the remainder when 3*262/6 - 3 is divided by d(12).
42
What is the remainder when (-3117)/(11/(-4) + 4*15/48) is divided by 123?
110
Let o(k) be the second derivative of -2*k**3/3 + 11*k**2/2 - 3*k. Let m = -127 - -203. Calculate the remainder when m is divided by o(-7).
37
Let b(x) be the third derivative of -x**5/60 + 11*x**4/12 - 67*x**3/6 - 209*x**2. Calculate the remainder when b(12) is divided by 14.
11
Suppose -5*k + 5*r + 175 = 0, -23 = -k - 5*r - 0*r. Calculate the remainder when 3133 is divided by k.
31
Let y(z) = 2*z**3 - 7*z**2 - 11*z + 38. Suppose 4*u + 3*w = 36, -8*w = -13*w + 20. Calculate the remainder when y(u) is divided by 22.
20
Let z(q) = -q**2 + 29*q + 22. Suppose -38 = -5*c + 42. Calculate the remainder when z(29) is divided by c.
6
Suppose 111*m + 74*m = 7585. What is the remainder when 502 is divided by m?
10
Suppose 6*y = -18 + 30, j - 4 = -3*y. Let f(w) = -27*w + 11*w - 4 + 1. Calculate the remainder when 56 is divided by f(j).
27
Let s(u) = -21*u**2 - 3*u + 4. Let x be s(1). Let j be 110/x*(-8 - -2)/1. Let w = 43 - j. What is the remainder when 36 is divided by w?
6
Let g be (-2)/7 + (-5568)/(-84). Let a = 53 - -5. Let w = g - a. Calculate the remainder when 24 is divided by w.
0
Let a(t) = 18*t**2 + 2. Let b = -814611 - -814980. What is the remainder when b is divided by a(-2)?
73
Suppose 0 = -2*c - b + 705 + 681, 3444 = 5*c - b. Calculate the remainder when 703 is divided by c.
13
Suppose -16 = -2*q + 4*d, -q = q - 5*d - 19. Suppose -q*y - 44 = -5*u - 0*y, 3*y = 4*u - 31. Calculate the remainder when 28 is divided by u.
8
Suppose -4199 = -21*t - 167. Calculate the remainder when t is divided by 111/4 - (-2)/8.
24
Let a(c) = -c**2 - 473*c + 1109. Calculate the remainder when a(0) is divided by 263.
57
Let w(v) = 1981*v + 4002. Suppose 3*z + 5*k = 75, -5*z = -4*z + k - 25. What is the remainder when w(-2) is divided by z?
15
Suppose -6*x - 546 = 8*x. Let y = x - -162. What is the remainder when y is divided by 31?
30
Let x be 1/2 - (-6)/4. Suppose 4*y + 0*v = -3*v - 456, -x*y = -5*v + 254. Let a = 197 + y. Calculate the remainder when a is divided by 27.
26
Let q(l) = l**2 + 15*l. Let h be q(-8). Let d = -42 - h. Calculate the remainder when 13 is divided by (-4)/d - (-325)/35.
4
Let f = 62 + -59. Let l = -51 + 45. Let p(u) = u**2 + 4*u + 13. What is the remainder when p(l) is divided by f?
1
Suppose -703 = -8*c - 23. Suppose -4*x + 161 = -3*t, 2*x - 2*t = t + 79. Calculate the remainder when c is divided by x.
3
Let q(k) = -4*k**2 - 9*k - 2. Let x be q(-2). Suppose 19*z + t - 45 = 17*z, 4*z - 3*t - 85 = x. What is the remainder when z is divided by 4?
2
Let b(g) = -2*g**3 - 14*g**2 - 14*g - 93. Calculate the remainder when 3592 is divided by b(-7).
2
Suppose 66 = -7*l + 472. Calculate the remainder when 64 is divided by (l/(-87))/(2/(-72)).
16
Let c(x) = 22 - 16 - 8*x - 7. Let z(t) = -18*t - 1. Let i(y) = -7*c(y) + 3*z(y). Calculate the remainder when 32 is divided by i(4).
8
What is the remainder when 13474 is divided by -2*63/(-22) + 345/1265?
4
Suppose -4*y + 5*l + 82 = 0, 5*y + 114*l - 116*l = 128. Let q be 22*(-3)/(-6)*1. What is the remainder when y is divided by (-3)/(-3)*-1 + q?
8
Suppose -3668 = 3*i - 17*i. Let o(u) = 2*u**3 + 12*u**2 - 4*u + 20. What is the remainder when i is divided by o(-5)?
82
Suppose 3*l + 2*l - 451 = -q, 4*l = 3*q + 357. Let d = l - 44. What is the remainder when d is divided by (-23)/(-2) + (-4)/(-8)?
10
Let o = 3745 + -3248. Calculate the remainder when o is divided by 36.
29
Let b(m) = m**2 + 75. Suppose 8 = -g - 3*t - 19, -105 = 5*g + 5*t. Calculate the remainder when b(0) is divided by (204/g - -7)*(2 + -5).
10
Suppose c - 3 = 3*x, -454*x + 458*x + 18 = 2*c. Calculate the remainder when 1383 is divided by c.
18
Let l(f) = f**3 - 50*f**2 - 64*f + 704. What is the remainder when 275 is divided by l(51)?
29
Suppose -5*v + 4*m = m + 94, -5*m = -2*v - 49. Calculate the remainder when 308 is divided by 2664/102 - (-2)/v.
22
Suppose -120 = -7*u - u. What is the remainder when 4 - 50/u - 20/(-6) is divided by 4?
0
Suppose 263 + 64 = 3*o. Let a = -1230 + 1265. Calculate the remainder when o is divided by a.
4
Suppose -179*q = -187*q + 1880. Suppose 245 = 16*o - q. What is the remainder when 107 is divided by o?
17
Let n(j) = 3*j**2 - 2*j - 1. Let f be (13 - 10) + (-2)/2. Let h = 308 - 290. Calculate the remainder when h is divided by n(f).
4
Let m = 2370 + -1772. What is the remainder when 1829 is divided by m?
35
Suppose 0 = 4*i - 29 + 117. Let x = 0 + 24. What is the remainder when x is divided by i/11 + 3 + 0 + 12?
11
Let y = -4 + 6. Suppose y*d + 64 = 2*i + 334, -d + 144 = 2*i. Let s(f) = 29*f**2 + 25*f - 7. What is the remainder when d is divided by s(1)?
44
Let w(n) = -25*n + 330. Calculate the remainder when 464 is divided by w(10).
64
Let y(s) = s + 5. Let n = 46968 - 46770. What is the remainder when n is divided by y(5)?
8
Suppose -2*p - 2 = -8. Suppose 2*v + p*v = 15. What is the remainder when (-1)/v - (-2 - 67/3) is divided by 14?
10
Let y(f) = -f**3 + f**2 + 13*f - 9. Suppose -3*u - u + 180 = 0. What is the remainder when u is divided by y(3)?
9
Let l = 5621 + -5539. Calculate the remainder when 250 is divided by l.
4
Let q = -1 - 5. Let s(a) be the second derivative of -a**3/6 + 243*a + 1. Calculate the remainder when 14 is divided by s(q).
2
Let l = 5899 + -5164. What is the remainder when l is divided by 103?
14
Suppose -3*h - 21 = o, -2*h - 15 = h. Let d(l) = 4*l**2 + 13*l - 7. Calculate the remainder when d(o) is divided by 20.
19
Suppose g - 2*s = -7*s + 90, -2*s - 90 = -g. Suppose n + v + 30 = -0*v, 0 = -3*n + v - g. What is the remainder when (1034/5)/2 + 12/n is divided by 7?
5
Suppose -67*v - 2389 = 45*v - 10901. What is the remainder when 328 is divided by v?
24
Let g(p) = p**2 + 7*p - 23. Suppose h + 19 = -5*b, 5*h + 2*b + 52 + 20 = 0. Calculate the remainder when g(h) is divided by 8.
3
What is the remainder when 1053 is divided by ((1740/24)/29)/(1/60)?
3
Let n(a) = -2*a**2 + 12*a + 216. Let u be n(-10). What is the remainder when 39/u - (2 + 4822/(-16)) is divided by 102?
95
Let a = 1183 - 1143. Calculate the remainder when 515 is divided by a.
35
Suppose 2*x - 5*h - 163 = 92, 145 = x + h. Let i = -103 + x. Calculate the remainder when 72 is divided by i.
35
Let n(p) be the third derivative of 0 + 7*p**2 + 23/3*p**3 - 1/8*p**4 + 0*p. What is the remainder when n(7) is divided by 13?
12
Suppose 79 - 5077 = -49*b. What is the remainder when b is divided by 25?
2
Let l = 3 + 0. Suppose -22 = -2*c - 2*j, 194*j + 8 = 3*c + 192*j. Calculate the remainder when c is divided by l.
0
Let u be 5*7/(140/(-264)). Let f = 5 - 0. Calculate the remainder when (-36)/u*26 - (-2)/(-11) is divided by f.
4
Let i be (-3 - -18)/((-15)/20). Suppose -22 = -3*b + 4*r, 12 = b - 0*b + r. Calculate the remainder when ((-72)/(-10))/((-8)/i) is divided by b.
8
Let r(x) = -124*x + 1550. What is the remainder when 3218 is divided by r(12)?
56
Let v = 7589 + -7278. Calculate the remainder when v is divided by 311.
0
Suppose g - 33*t = -32*t + 57, -246 = -4*g - 2*t. What is the remainder when g is divided by 37?
23
Suppose 4*o = 3*w + 2*o + 700, -2*w - 485 = -5*o. Let z = 247 + w. Calculate the remainder when 47 is divided by z.
13
Let d(h) = 428*h**3 + 30*h**2 - 91*h + 7. What is the remainder when d(3) is divided by 82?
80
Let y = -928 + 1380. What is the remainder when y is divided by 52?
36
Let t(r) = -15*r + 11*r**2 - 9*r**2 + 8*r**2 - 3*r + 19 - 9*r**2. Calculate the remainder when t(-5) is divided by 58.
18
What is the remainder when 2586 is divided by (-13)/(12/20 - 48/30)?
12
Let r be 616/99 + (-2)/9. Suppose 5*u = r*u. Suppose u*x = x - 5, -d + 2*x = -4. What is the remainder w