 15. Suppose 64 = 8*t - 12*t. Let n be w(t). Calculate the remainder when 43 is divided by n - (8 + (-16)/4).
10
Let t(j) = -j + 4. Let p be t(-2). Let c be (-3 - -5)*(-4 + p). Suppose -c*s + 174 = -s. Calculate the remainder when s is divided by 12.
10
Let v(z) be the third derivative of -z**5/60 + 11*z**4/6 + 8*z**3/3 - 7*z**2 - 13. What is the remainder when 47 is divided by v(44)?
15
Let x = -19 + 32. Let i be (-30)/(-50) + 21/15. Suppose x = -i*d + 47. What is the remainder when 81 is divided by d?
13
Suppose g = -2*a + 211 - 131, 5*a - 203 = -4*g. What is the remainder when 334 is divided by a?
22
Let q(r) be the third derivative of -r**5/60 - 3*r**4/8 + 11*r**3/6 + 42*r**2. Calculate the remainder when q(-6) is divided by 17.
12
Suppose -8 = -4*a + 4. Let b(w) = 63*w**3 + w**2 + 5*w - 7. What is the remainder when b(1) is divided by a?
2
Let m(y) = 2*y**3 - 4*y**2 + 3*y - 2. Suppose 8156 = 17*v - 3*v + 7960. Calculate the remainder when m(3) is divided by v.
11
Calculate the remainder when 1408 is divided by -7 - (2/(-6))/((-2)/(-39))*4.
2
Let c(t) = -t + 1. Let i be c(1). Suppose i = -0*b - b + 52. Calculate the remainder when b is divided by 13/(117/36)*7/8*6.
10
Let h = -89 + 89. Let n be (-2 - (h/(-3) - 8))/2. Suppose 2*c + 2 = 0, -b = 2*b - n*c - 111. What is the remainder when b is divided by 25?
11
Let z be 268 - (-42)/(-12)*(-4)/7. Suppose -36*q + z = -27*q. Calculate the remainder when 2 + (-2 - -3)*146 is divided by q.
28
Let b = 143 + -93. Suppose -7*n + 5*n + b = 0. What is the remainder when 72 is divided by n?
22
Let l(o) be the second derivative of 2*o**3/3 + 7*o**2/2 + 23*o. Let z be l(-2). What is the remainder when -2 + (-108)/z + (-1 - -1) is divided by 36?
34
Let h(l) = l**3 + 26*l**2 - 30*l - 42. Calculate the remainder when (110/(-4))/(70/(-420)) is divided by h(-27).
9
Suppose 356 = 3*g - 5*w + 1865, 2*g + 984 = -4*w. Let f = g - -505. Calculate the remainder when 32 is divided by f.
4
Suppose -3*o - 2*v + 268 = 42, 5*v - 97 = -o. What is the remainder when 154 is divided by o?
10
Calculate the remainder when 678 is divided by (245/(-25) - -10) + (-796)/(-20).
38
Suppose 5*z = 26 - 1, 3*z = 2*s - 51. Let o(k) = -20*k - 3. What is the remainder when o(-6) is divided by s?
18
Let w(g) = -6*g**3 - g**2 - 4*g - 4. Let l be w(-2). Suppose -6 = -2*d, 4*d + l = -5*c + 6*c. What is the remainder when (-6)/(-9)*c - (-4 + 1) is divided by 9?
7
Let v(o) = 135*o - 1473. What is the remainder when v(12) is divided by 96?
51
Let n = -262 - -265. Let f(r) = r + 16 - 2 - 3*r + 5. What is the remainder when f(7) is divided by n?
2
Let s be 10/(5/(20/(-8))). Let y(p) = 2*p + 10. Let l be y(s). Suppose h - 8 - 8 = l. What is the remainder when 62 is divided by h?
14
Suppose -c + 13 = -7. Let z = -177 + -219. What is the remainder when c is divided by z/6*(-1)/6?
9
Let t = 141 + -138. Suppose 5*d + 2*x - t*x - 125 = 0, -2*x + 125 = 5*d. What is the remainder when d is divided by 12?
1
Let u(p) = -79*p + 5. Let a be u(-7). Let n = a + -382. Suppose y + 5*j - 19 = 0, 5*j + n = y + 3*y. What is the remainder when y is divided by 21?
18
Let q = -242 + 249. Suppose -11*j + q*j + 1460 = 0. Calculate the remainder when j is divided by 16.
13
Let n(z) = z**3 - 4*z**2 + z + 11. Suppose -13*l + 35 = -6*l. Calculate the remainder when n(l) is divided by 9.
5
Let k(z) = -10*z - 58 - z - 17*z + 14*z. What is the remainder when 75 is divided by k(-6)?
23
Suppose -21*a - 7*a = -36*a + 1616. Calculate the remainder when a is divided by 189.
13
Suppose 0 = 3*g + 12, 3*g - 563 = 4*m - 9*m. What is the remainder when m is divided by (8 + -5 - 10)*(-60)/28?
10
Suppose -24 = -135*f + 139*f. What is the remainder when (-26)/(-10) + (-2)/(-5) is divided by 6 - (5 + f + 5)?
1
Suppose 9072 = -223*q + 265*q. What is the remainder when q is divided by 45?
36
Let k = -12 - -16. Suppose v - k*v + 21 = 0. Calculate the remainder when ((-207)/(-483))/(2/126) is divided by v.
6
Suppose 0 = 2*v + j - 18, -15 = -v + j - 3*j. Let d(l) = -3*l - 9. Suppose 0 = -4*u - 0*u - 24. What is the remainder when d(u) is divided by v?
2
Let a = 558 + 155. What is the remainder when a is divided by 351?
11
Calculate the remainder when (-14 - -16)*(-15)/(-3)*9 is divided by 12/30*(-230)/(-4).
21
Let o(r) = -84*r**3 - 3*r - 2. Let l be o(-1). Suppose l*w = 86*w - 318. What is the remainder when w is divided by 32?
30
Suppose -4*q - 49288 = -4*g, -19*g - 36972 = -22*g + 5*q. What is the remainder when g is divided by 110?
109
Let y = 35 + -33. Suppose 3*v + 218 = 5*h, y*h + 126 = -2*v - 30. Let q = v - -88. Calculate the remainder when 23 is divided by q.
11
Suppose -10*m + 1195 = -725. Calculate the remainder when m is divided by (29 - (-5 + 0))/(2/4).
56
Let w be 1/(-4*(-4)/432). Let m(b) = -30*b + 12. Calculate the remainder when m(-1) is divided by w/12*2*2.
6
Let s = 114 + -69. Let v(d) = 84*d + 1833. Calculate the remainder when v(-20) is divided by s.
18
Suppose -371*a + 42407 + 28194 = 11612. What is the remainder when a is divided by 39?
3
Let z = 2634 + -1798. Calculate the remainder when z is divided by 406.
24
Suppose -50*l + 2881 = 43*l - 1955. What is the remainder when 73 is divided by l?
21
Suppose -24*a + 13*a + 561 = 0. Suppose -q = -3*g - 39, q - a = -g - 2*g. What is the remainder when 134 is divided by q?
44
Suppose 0 = -4*p + 10*p - 18. Calculate the remainder when 137 is divided by p*4*(-135)/(-81).
17
What is the remainder when 480 is divided by (3 - (-1 + 1))*(-1854)/(-324)*12?
68
Let q = 202 + -208. Suppose 3*u + 4*p - 2*p - 12 = 0, u + p - 4 = 0. Let v = u - q. Calculate the remainder when 28 is divided by v.
8
Let z(s) = -354*s + 1280. Calculate the remainder when z(3) is divided by 7.
1
Let l(s) = 10*s. Let o be (-7992)/54 - 1*3. Let c = 184 + o. Calculate the remainder when c is divided by l(1).
3
What is the remainder when 40/(-170) - (-12936)/68 is divided by 157?
33
Let r(j) = -8*j - 179. Let d be r(-24). Calculate the remainder when 181 is divided by (-13)/(d/(-12)) + -4.
5
Let x(v) = 71*v**2 - 31*v + 41. Calculate the remainder when x(-8) is divided by 39.
36
Suppose 4*w + 24 = 92. Suppose -5*r + s - 33 = 0, 5*r + 0*s + 2*s + 39 = 0. What is the remainder when r/(98/4) + (-820)/(-28) is divided by w?
12
Suppose 0 = -31*x + 27*x + 20. What is the remainder when -3*1 + (0 - x - -145) is divided by 46?
45
Let s = 98 + -67. Let a = 319 - 166. What is the remainder when a is divided by s?
29
Let t(x) = -879 + 4*x + 437 + 437. Suppose 2*s + s = 4*i + 23, 0 = -5*s - 3*i + 19. Calculate the remainder when 27 is divided by t(s).
12
Let b = 6 + -2. Let z(w) be the third derivative of w**6/120 - w**5/60 + w**4/8 + 5*w**3/6 - 493*w**2. What is the remainder when z(b) is divided by 22?
21
Suppose -420*j = -65*j - 473570. Calculate the remainder when j is divided by 189.
11
Let h(b) = 2*b**3 - 8*b**2 + 7*b - 16. Let v(m) = -m + 10. Let n be v(5). Let l be h(n). Let j = l - -29. What is the remainder when j is divided by 9?
8
Let m(s) be the third derivative of 79*s**5/60 + 13*s**2. What is the remainder when m(-1) is divided by (-2)/6*-3 - (-1 - 19)?
16
What is the remainder when (-32)/(-8)*(-694)/(-8) is divided by 235?
112
Let v = -25 + 28. Suppose -2*o + v*j = -53, -4*j + 0*j + 121 = 5*o. Suppose 3*t - 9 = 2*t. What is the remainder when o is divided by t?
7
Let g(b) be the first derivative of -14 + 23*b + 1/4*b**4 + 11/3*b**3 + 4*b**2. Calculate the remainder when g(-7) is divided by 33.
31
Suppose 0 = -7*o + 5758 - 2062. Suppose 13*a - 19*a + o = 0. Let x = -76 + a. What is the remainder when 34 is divided by x?
10
Let m(u) = 8*u**2 + 184*u + 396. Calculate the remainder when m(-41) is divided by 274.
272
Suppose -4*w + 204 = -u, 2*w + 3*u = -682 + 798. What is the remainder when 285 is divided by w?
25
Let s = 4231 - 4181. Calculate the remainder when 896 is divided by s.
46
Let u(m) = m**2 - 12*m - 12. Let g be u(10). Let i be 2/(-8) + 56/g. What is the remainder when 74 is divided by 176/6 + -4 + i/6?
24
Let t(h) = -19*h + 74. Calculate the remainder when t(-10) is divided by 14.
12
Suppose -2*j = -6*f + 226, -165 = -5*f + 59*j - 62*j. Calculate the remainder when f is divided by 4.
0
Let y = 55 - -2. Let j = 910 + -883. Calculate the remainder when 