- 5*o, 3*o + w = 2*z - 4. Calculate the remainder when 7 is divided by z.
3
Let u = -248 + 183. What is the remainder when (1 - -21)*u/(-10) is divided by 18?
17
Suppose 4*h - 3*m = 69, -2*m = 5*h + 12 - 104. What is the remainder when (75/50)/(3/102) is divided by h?
15
Let k = 2 + 44. Let h(n) = 194*n - 216. Calculate the remainder when h(3) is divided by k.
44
What is the remainder when 971 is divided by (-112)/12*(-4290)/88?
61
Let k = -980 + 1008. Suppose u - 4*u = -12. Suppose -k = -u*z + 48. What is the remainder when z is divided by 12?
7
Let i = -856 - -1124. What is the remainder when 805 is divided by i?
1
Suppose 0 = 11*r - 3495 + 2868. Calculate the remainder when 3021/18 + (-5)/(-30) is divided by r.
54
Let v = -181 + 185. Suppose v*d + 105 = 7*d. Calculate the remainder when -309*2*2/(-12) is divided by d.
33
Let l(a) = -a**3 + 16*a**2 - 11*a + 30. Let d = 76 + -76. Suppose 4*s - w - 56 = d, -6*w = -4*s - 3*w + 48. What is the remainder when l(s) is divided by 31?
28
Let a = -33169 - -35632. What is the remainder when a is divided by 16?
15
Let h = -1580 - -1636. Calculate the remainder when 431 is divided by h.
39
Suppose -f = 8, 621 = 4*h - 3*f - 4091. Calculate the remainder when h is divided by 14.
10
Suppose 0 = -2*k + 6, -2*o - 13 = -5*k + 22. Calculate the remainder when (273/(-14) - -2)*o is divided by 45.
40
Suppose -7*c + 144 = 5*c. Suppose -44 = c*h - 368. Let y = -5 - -11. What is the remainder when h is divided by y?
3
Suppose k = -2*c - 2, 3*c - 6*c = -4*k + 14. Let i(u) = -55*u + 63. What is the remainder when i(c) is divided by 48?
29
Let b(m) = 2*m**2 - 4*m - 19. Let w be b(6). Suppose 4*i = -3*x - 3 - 41, -5*x = i + 11. Let n = i + w. What is the remainder when 34 is divided by n?
16
Let r = -69 + 73. Suppose -r*p + 200 = -2*p. Let v = -78 + p. Calculate the remainder when 174 is divided by v.
20
What is the remainder when 4*(1464/(-160) - -9) - (-32754)/15 is divided by 21?
20
Let o be 345 + (6 - 0 - 3). Let r = -247 + o. What is the remainder when r is divided by 17?
16
Let s(f) = -33*f + 120. Let o be s(9). Let n = -131 - o. Calculate the remainder when 178 is divided by n.
40
Let x(t) be the second derivative of -5*t**3/6 - 8*t**2 + 9*t. Let p be x(-14). Suppose -k = -p + 16. Calculate the remainder when 72 is divided by k.
34
Let t(c) = -c**3 + 124*c + 883. What is the remainder when t(-7) is divided by 7?
1
What is the remainder when (26596/1199)/((-6)/(-33)) is divided by 67?
55
Let i(g) = -8*g**2 + g - 1. Let s be i(-2). Let l = 62 + s. Suppose -92 = -31*p + l*p. What is the remainder when 50 is divided by p?
4
Let a(b) = 43*b**2 - 54*b - 16. Calculate the remainder when 3987 is divided by a(-5).
0
Let g = -21595 + 32177. What is the remainder when g is divided by 252?
250
Suppose 2501*k - 7040 = 2391*k. Calculate the remainder when 109 is divided by k.
45
Let f be (-10)/(-15) + (-1156)/6. Let g = f - -105. Let v = g - -191. What is the remainder when v is divided by 21?
20
Suppose 2*b - 1420 + 498 = 0. Let s = b - 378. Calculate the remainder when s is divided by 21.
20
Suppose 0 = -w + 4*w - 3. Let v = -195 - -216. Calculate the remainder when v/(-6 - w) - (-160)/2 is divided by 27.
23
Let p be 44 + 16/(-12)*3. Suppose 4*g + p = 3*n, n + g + 2 = 20. Suppose -n*a + 19 = -15*a. Calculate the remainder when a is divided by 11.
8
Let m = -322 + 319. Let x(r) = 13*r + 46. Let k(o) = o**3 - 10*o**2 + 2*o + 6. Calculate the remainder when k(10) is divided by x(m).
5
What is the remainder when (1 + 5)*(-146)/(-4) is divided by 106/795 + 7544/345?
21
Suppose -3*n + 3780 = 12*n. Suppose t + n = 37*t. Calculate the remainder when 21 is divided by t.
0
Let j(t) = 51*t - 20. Let a be (0 - (2 + -7)) + (-8 - -5). What is the remainder when j(a) is divided by 17?
14
Let w = 42951 - 42905. What is the remainder when 356 is divided by w?
34
Let z be (1 + 6/2)/(-1). Let d be (-8)/(-6) + 560/210. Calculate the remainder when (-1)/z*d + 30 is divided by 16.
15
Suppose 0*w + 579918 + 254886 = 36*w. What is the remainder when w is divided by 30?
29
Suppose 241 = 5*l + f - 1913, 4*l = 3*f + 1727. What is the remainder when l is divided by 145?
141
Let t(q) be the second derivative of 5/2*q**3 - 6*q + 0 - 9/2*q**2. Calculate the remainder when 83 is divided by t(2).
20
Suppose -16*w = -9*w - 2170. Let l = w + -229. Calculate the remainder when l is divided by 31.
19
Suppose 0 = -3*v - v + 248. Let p = v + -60. What is the remainder when 71 is divided by (73 - -1)*p*(-2)/(-8)?
34
Suppose 7*y - 2322 = 61*y. What is the remainder when ((-1)/(-2))/((-1)/(-294)) is divided by 34 + y + 0 + 24?
12
Let g be -6*(16 + -18)/(-1 + 4). Let j be 39*12/8 + g/(-8). Let y = 75 - j. Calculate the remainder when 31 is divided by y.
14
Suppose 5*g - 49*c + 48*c - 415 = 0, -3*g = 5*c - 249. Calculate the remainder when g is divided by 22.
17
Let y = 5981 - 5924. Calculate the remainder when y is divided by (4/6)/(2/(93 - 3)).
27
Let b(w) = 56*w**2 + w - 3. Let y be b(1). Suppose 4*u - y = 514. Calculate the remainder when u is divided by 13.
12
Let g(y) be the third derivative of y**5/30 + y**4/3 + 37*y**3/6 + 9*y**2 - y. What is the remainder when g(-6) is divided by 6?
1
What is the remainder when 5*-1 + (10/75 - 11198/(-165)) is divided by 17?
12
Suppose 3*b - 4*m = 707, 3*b + 5*m - 369 - 293 = 0. Suppose 2*s - 55 = n, -4*s + 4*n = -72 - 44. What is the remainder when b is divided by s?
21
Suppose -39*d = 25*d - 16*d - 39792. What is the remainder when d is divided by 39?
10
Suppose 1162 = 2*b - 4*s, b - 574 = -43*s + 44*s. Calculate the remainder when b is divided by 178.
33
Let d(r) = 3*r**3 + 47*r**2 + 44*r + 20. Calculate the remainder when d(-14) is divided by 33.
21
Let r(v) = v**3 - 4*v**2 - 2*v + 1. Suppose 12 = 2*m + 2*s, -5*m - 9*s = -5*s - 29. Calculate the remainder when 111 is divided by r(m).
15
Suppose 57 = 5*a - 2*u - 6878, 0 = 2*a - u - 2775. What is the remainder when a is divided by 126?
125
Let h(y) = -32*y - 135. Suppose 3*j = -1505 + 1487. Calculate the remainder when 90 is divided by h(j).
33
Let u(p) = 6*p**2 - 35*p + 12. What is the remainder when u(7) is divided by -1 + (-11)/((-33)/72)?
15
Suppose 5*f - 3*o = 772, 0 = -2*f + 4*o + 436 - 116. Calculate the remainder when 453 is divided by f.
149
Suppose 4*v = -4*y + 4, 6 = 3*y - 4*v - 18. Suppose -3*f - 4*z + 267 = -z, 4*z = y. Calculate the remainder when f is divided by 46.
42
Let l = -73 + 69. Let v be -3*19/(-12) + (-1)/l. Suppose -v*y - 2*n = -31, -3*y + 2*y + 5*n + 17 = 0. Calculate the remainder when 8 is divided by y.
1
Suppose -2*s - 34164 = -28*s. What is the remainder when s is divided by 60?
54
Let f be 16/3 + (-10)/(-15). Suppose 2*t - 1239 = -3*y + f*t, 1652 = 4*y + 3*t. Suppose -6*u - u = -y. What is the remainder when u is divided by 15?
14
What is the remainder when -6 + 3 + 2 + 696 is divided by (6 - -46 - -6)/((-4)/(-6))?
86
Let f be 0 - ((-12)/(1 + 3) + -2). Suppose -3*w - 60 = -0*i - f*i, 2*i - 24 = w. What is the remainder when 3/(-2)*(1 - 39) is divided by i?
9
Suppose -4*a = c - 39 - 65, 2*a - 190 = -2*c. What is the remainder when 319 is divided by c?
43
Let n(x) be the first derivative of 8*x**2 - 169*x + 19. Calculate the remainder when n(19) is divided by 49.
37
Let v be (5 - 6)*(-1 + 1). Let i be (-3 + 0)*2 + (v - 0). What is the remainder when 5/(5 - (-28)/i) is divided by 12?
3
Let j = -188 + -74. Suppose -4*d = -108*u + 113*u - 121, 0 = d - 2*u - 14. What is the remainder when 161 is divided by j/(-24)*3 - (-6)/d?
29
Let k(q) be the first derivative of q**3/3 + 11*q**2/2 - 27*q + 37. What is the remainder when k(7) is divided by 20?
19
Calculate the remainder when 1656 is divided by (1788/2235)/(2/385).
116
Let j be (-184)/322 - (-2962)/14. Suppose -4*d = u - 32, 3*d - j = -11*u + 6*u. Calculate the remainder when u is divided by 15.
14
Let i(a) be the third derivative of a**5/60 - 5*a**4/24 - 19*a**3/6 - 24*a**2. Calculate the remainder when i(10) is divided by 46/6 + (-2)/(-6).
7
Suppose -2*a = 17*a - 627. Suppose 300 = a*b - 29*b. Suppose 3*k - 50 = -y, 5 - 73 = -4*k - 2*y. What is the remainder when b is divided by k?
11
Let o = 3969 + -3867. What is the remainder when o is divided by (-3)/(-6) + (-316)/(-8)?
22
Calculate the r