. Suppose s - 59 + 6 = b. Calculate the remainder when s is divided by 7.
4
Let s(m) = m**3 + 171*m**2 + 3769*m + 34. Suppose -3*q = 15, -3*g + 7*g = -q + 239. What is the remainder when s(-145) is divided by g?
57
Suppose -31386 - 1062 = -48*y. Let x = y + -673. What is the remainder when 275 is divided by x?
2
What is the remainder when 2373 is divided by 35 - (60/(-80) + 66/(-8))?
41
Let w = 177 - 811. Let l = w - -725. Calculate the remainder when l is divided by 23.
22
Suppose -25 = -5*r + 3*d, 5*r + 2*d - 25 = 7*d. Suppose 3*n + 5 = -2*h, -2*n + 0*n - 20 = 3*h. What is the remainder when 5/h*-1*38 is divided by r?
4
Let q(b) = -9*b**2 - 3*b + 3. Let j be q(2). Suppose -2*t - 140 = -2*g, 3*t = -4*g - 141 - 97. Let v = j - t. Calculate the remainder when v is divided by 9.
8
What is the remainder when 783 + -24 + 1/1 + -3 is divided by 76?
73
Suppose 4*x - x - 9 = 0. Suppose -2*u + 2 = -3*s - 0, 5*u - x*s - 14 = 0. What is the remainder when -2*(220/(-8) + u) is divided by 24?
23
Let n = 9 + 431. Let a = 806 - n. What is the remainder when a is divided by 31?
25
Let y(x) = -3*x**3 - 11*x - 10. Let v be y(-1). Suppose 8 = -2*z + v*z, -d = -4*z + 11. Calculate the remainder when 302 is divided by d.
2
Suppose -34*w = 37*w - 60*w - 2827. What is the remainder when w is divided by 48?
17
Suppose 3*m = 4*p + 6*m - 13, -m = -5*p + 21. Let f(z) = -15*z**3 - z**2 + 1. What is the remainder when ((-16)/(-5))/(p - (-2064)/(-520)) is divided by f(-1)?
14
Suppose 2*w - 95 = 39. Let a = 60 + -47. What is the remainder when 1 - w/(-3) - 2/6 is divided by a?
10
Let v(x) = -28*x - 58. Let h be v(-9). Let o = h - -25. What is the remainder when o is divided by 15?
9
Let m = -8945 + 9307. Calculate the remainder when m is divided by 9.
2
Suppose 439*w + 794 = 441*w. Calculate the remainder when w is divided by 55.
12
Suppose 2355 - 126 = -5*a - 4*h, 5*h = 3*a + 1330. Let b = a + 484. Calculate the remainder when 387 is divided by b.
36
Calculate the remainder when 31702 is divided by 12/54 - (-3 - 1364/99).
14
Let u(i) = i**3 - 27*i**2 + 27*i + 8. Suppose f = 0, -4*k = 7*f - 3*f - 24. Calculate the remainder when u(26) is divided by k.
4
Suppose 433*h - 387*h - 10626 = 0. Calculate the remainder when h is divided by 51.
27
Suppose 25 = 4*n - z - 1, 3*n = 5*z + 28. Calculate the remainder when (83 + n)*(-2 - -3) is divided by 26.
11
Let r(t) = t**3 - 18*t**2 - 16*t - 56. Let g be 5*-1 - (-432)/18. Let f be r(g). What is the remainder when (f*3 + (26 - 6))*1 is divided by 6?
5
Suppose 0*x - x = 2*a - 2, a - 2*x = -4. Calculate the remainder when 36 is divided by 10/15*(126/4 + a).
15
Let r be 41 + 1 + 0 + -5. Suppose 3*y + r = 4*y + 3*z, 66 = 2*y - 2*z. Suppose -5*k + 38 = -52. Calculate the remainder when y is divided by k.
16
Let l be (-56)/252 + (-389)/(-9). Suppose 11*i + 21 - l = 0. Calculate the remainder when 6 is divided by i.
0
Suppose 25*p + 15*p = -1094 + 4534. Calculate the remainder when 1977 is divided by p.
85
Let a be -10 + 20/(4 + 0) - -1157. Suppose -71*l = -83*l + a. Calculate the remainder when l is divided by (-5 - -2)/(3/(-26)).
18
Suppose -f + 4*c + 1 = -2*f, 0 = 3*f - 5*c + 54. Let d(x) = -3*x + 5. Calculate the remainder when (-14964)/(-172) + (-1)/(2/4) is divided by d(f).
41
Suppose 688*m = 2237543 - 740455. What is the remainder when m is divided by 2172?
4
Let f(w) = 6*w - 229. Let u = -199 + 241. What is the remainder when f(u) is divided by 6?
5
Calculate the remainder when 43 is divided by 206/8 + ((-99)/(-36))/11.
17
Suppose j - 2*h - 487 = 0, 3*j + 3*h - 1469 = 7*h. What is the remainder when j is divided by 62?
61
Suppose 0 = -10*j - 108 + 78. What is the remainder when 95 is divided by (-1100)/(-20) + 12/j?
44
Let d(g) = 3*g**3 - 10*g**2 + 36*g - 127. Calculate the remainder when d(4) is divided by 25.
24
Suppose -100 = -2*a - g - 3*g, -5*a = 3*g - 271. Let d = 14415 - 13914. Calculate the remainder when d is divided by a.
53
Let p = -4483 + 4780. Calculate the remainder when p is divided by 17.
8
Suppose -3 = -j - 0. Let w be 212/(-44) - 20/110. Calculate the remainder when (-5)/j*150/w is divided by 13.
11
Let b(z) = -z**3 + 26*z**2 + 75. Suppose 8*h - 10*h + 296 = 2*y, 3*h = -y + 446. Calculate the remainder when h is divided by b(26).
74
Let h = 9925 + -7911. What is the remainder when h is divided by 494?
38
Suppose 7*x - 8*x + 367 = 2*k, -4*k = 4*x - 724. Suppose 2*j + 5*g - k = -0*j, -j = 3*g - 92. Calculate the remainder when j is divided by 18.
8
Let k = 137 + -100. Suppose 0 = -4*a - 34 + 14, -5*a - k = -y. Calculate the remainder when 46 is divided by y.
10
Let f(w) = w**3 + w**2 - w + 30. Let z(y) = 2*y**2 + 112*y + 71. Calculate the remainder when z(-56) is divided by f(0).
11
Suppose -21*x + 24*x + 240 = 0. Let o = x - -186. What is the remainder when o is divided by 54?
52
Suppose 5*c = 0, 4*r - 40 = -0*r - 3*c. Let z(y) be the first derivative of 10*y**2 - 15*y + 48. Calculate the remainder when r is divided by z(1).
0
Let y be 34/(10/4 + -2). Let o(a) = 2*a**2 + 169*a + 1049. Let d be o(-79). Let h = d - y. What is the remainder when h is divided by 38?
36
Let f(h) = -h**2 + 291*h + 176. What is the remainder when 4219 is divided by f(0)?
171
Suppose 0*o - 4*z = 2*o - 198, 4*z = -4*o + 400. Suppose -3*d + 96 = -141. Let k = d - 62. Calculate the remainder when o is divided by k.
16
Let l = -195 + 210. Let t be 1/((6/(-8))/(-3)). What is the remainder when t/(-8) - (-109)/2 is divided by l?
9
Let c(h) = -251*h - 125. Calculate the remainder when c(-22) is divided by 30.
27
What is the remainder when 94 is divided by 48 + -7 + 2 + (20/5 - 4)?
8
Let a = 4702 - 4632. Calculate the remainder when 133 is divided by a.
63
Let o = 342 - 228. Let i = o - 105. Calculate the remainder when 28 is divided by i.
1
Let j = 80 - 39. Let k = j + -37. Suppose -5*a + 30 + 35 = 0. Calculate the remainder when a is divided by k.
1
Suppose 0 = -2*c - u + 3*u + 304, -3*u = c - 168. Calculate the remainder when c is divided by 40.
36
Let z(v) = 2*v**2 - 30*v + 62. Let a(w) = -w**2 + 15*w - 31. Let t(o) = -13*a(o) - 6*z(o). What is the remainder when 18 is divided by t(13)?
3
Suppose -762 + 636 = -4*h - j, 0 = h + 2*j - 35. What is the remainder when 4463 is divided by h?
30
What is the remainder when 1802 is divided by (-4)/32 - (1209/20)/(4/(-10))?
141
Let b = -165 + 524. Let r = 221 - b. Let u = 312 + r. What is the remainder when u is divided by 25?
24
Suppose 2*n + 4*y = -16, -4*n + 43 = -5*y + 10. Calculate the remainder when 221 is divided by 105/10*1*1*n.
11
Suppose 0 = 25*g - 16*g + 99. Let h(a) = a**3 + 11*a**2 - 4*a - 30. Calculate the remainder when 54 is divided by h(g).
12
Suppose -5*k - a + 0*a = -175, 5*k - 170 = -2*a. What is the remainder when 42/((2 - -3) + 23/(-5)) is divided by k?
33
Let a be (-11 + 8)/(10/(-8) - -1). Suppose 0 = -a*k - 16 + 820. What is the remainder when k is divided by 12?
7
Let l = 542 - 532. What is the remainder when 457 is divided by (9 + (-60)/l)*46/3?
43
Suppose -17*t + 320 = 3*t. Suppose -5*l + 17*q = t*q - 528, 0 = l - 3*q - 114. Calculate the remainder when l is divided by 24.
9
Let l(h) be the second derivative of -3/2*h**2 - 1/6*h**4 - 1/6*h**3 - 3*h - 1/20*h**5 + 0. Calculate the remainder when 21 is divided by l(-3).
3
Suppose -1951 = 477*m - 482*m - 2*o, 0 = 2*m - 5*o - 792. Calculate the remainder when m is divided by 5.
1
Let z be 3 + -3 + (1 - 4 - -3). Suppose z = 40*n - 237 - 3. Suppose 0*c - c = -s - 17, 0 = -3*c + 4*s + 46. What is the remainder when c is divided by n?
4
Let q be 10/(-50) + 9/(-5). What is the remainder when (37/(-2))/(1/q) is divided by 24?
13
Suppose -25*p = -1963 + 488. Calculate the remainder when 1059 - ((2 - (2 + 1)) + 0) is divided by p.
57
Let b = 255 - 287. Calculate the remainder when (-12)/b + 0 + (-5052)/(-96) is divided by 29.
24
Let w be -1 + 3 + 60 - (0 + 1). Let a = -89 - -106. Suppose -w - 313 = -a*i. What is the remainder when 76 is divided by i?
10
Suppose -n - 12 = 3*n. What is the remainder when ((-255)/(-10))/n*-4 is divided by 14?
6
Let h(w) be the second derivative of 4*w**4/3 - 17*w**3/6 - 19*w**2 - 87*w. Let k(q) = 2*q**3 + q - 2. Calculate the remainder when h(-2) is divided by k(2).
12
Let t be -2*113*7/(-14). Suppose -3*m