7.
44
Let c(j) = j**2 + 22*j + 76. Let z be c(-18). What is the remainder when (27 - z - 3) + 4 is divided by 3?
0
Suppose 0 = 4*k - 16 + 8. Suppose -k*v + 22 = -22. Let h = v + -8. Calculate the remainder when 69 is divided by h.
13
Suppose 108 = 4*l - l. Let s(b) = 115*b - 39. Let g be s(-2). Let t = g - -290. What is the remainder when l is divided by t?
15
Let k = -954 - -1030. Calculate the remainder when 85 is divided by k.
9
Let x(v) = 204*v - 7. Let j be x(-3). Let r = -343 - j. Suppose -r = -10*w + 4. What is the remainder when 52 is divided by w?
24
Let w = -622 - -627. Suppose 0*z + w*q + 118 = 4*z, -q + 25 = z. Calculate the remainder when z is divided by 10.
7
Suppose -368*n - 212*n + 172*n + 66504 = 0. What is the remainder when 236 is divided by n?
73
Let w(c) = c**2 - 6*c + 19. What is the remainder when w(13) is divided by 17?
8
Let i(x) be the second derivative of -5*x**3/3 + 12*x**2 + 2*x + 10. Let d(r) = -3*r**3 + 4*r + 3. What is the remainder when i(-7) is divided by d(-2)?
18
Let u = -609 + 626. What is the remainder when (-2)/5 - (-4 - 10885/25) is divided by u?
14
Suppose -8*r + 764 = 236. Suppose r*y + 124 = 70*y. What is the remainder when y is divided by 7?
3
Let m(f) = f**3 - 7*f**2 + 17*f + 15. Calculate the remainder when m(5) is divided by 23.
4
Suppose 11*l - 16*l + 14014 = 8*l. Calculate the remainder when l is divided by 20.
18
Let m(u) = u + 7. Let r(l) = -3*l - 10*l**2 - 3*l**3 + 83 + 4*l**3 - 157. Calculate the remainder when r(11) is divided by m(0).
0
Suppose 39 + 173 = 4*t. Suppose 3 = 8*g - 45. Suppose -g*q + 0*q + 114 = 0. Calculate the remainder when t is divided by q.
15
Suppose -2*v - 24 = -4*x - 112, -2 = -2*x. Suppose 0 = -103*i + 1102 - 381. Calculate the remainder when v is divided by i.
4
Suppose 5*w - 4278 = -4*s, 0 = 12*w - 80*s + 75*s - 10384. What is the remainder when w is divided by 16?
14
Let k(b) = -21*b - 124. Let n(o) = -o + 1. Let d(s) = k(s) + n(s). What is the remainder when 42 is divided by d(-6)?
6
Suppose 38*h - 42*h = -1668. Let f = h + -246. Calculate the remainder when f is divided by 43.
42
Let l(s) = -4 - 2*s**2 + 13 - 7*s + 28*s. Let i be l(11). What is the remainder when 51 is divided by -1*(i + 5)*-6?
15
Let q be ((-199)/(-2))/(2/4) + -4. Let h = 308 - q. What is the remainder when h is divided by (-10)/35 - (-536)/14?
37
Let w = 31 - 2. Let m = w + -7. Let g = -428561 - -428575. What is the remainder when m is divided by g?
8
Let x be -2 + 0 - -22*(0 + 2). Let q = -34 + x. Suppose 14 = -z + q*z. Calculate the remainder when z is divided by 1.
0
Let a = 797 + -416. Suppose v - a = -v + 5*p, v - 4*p = 186. Calculate the remainder when v is divided by 25.
23
Let r(n) = -4*n - 21. Let v be ((-14)/28)/(1/(-2)). What is the remainder when (-55)/(-2)*(v - -1) is divided by r(-9)?
10
Let o(r) = 120*r + 486. Let z(j) = j**3 + 13*j**2 + 9*j - 5. Calculate the remainder when z(-7) is divided by o(-4).
4
Let g = -4450 - -5322. Calculate the remainder when g is divided by 217.
4
Suppose 0 = 4*f - 3*w - 109, -4*f = 249*w - 247*w - 134. Calculate the remainder when 1083 is divided by f.
29
Let l be (-2)/14*-971 + 72/252. Suppose -135*c + l*c = 32. Suppose 2*r + 3*f = 60, -f - 4*f = 3*r - 90. Calculate the remainder when r is divided by c.
6
Let p(n) = -36*n - 9. Let t be p(6). Calculate the remainder when 207 is divided by t/90*(-52)/5.
25
Let k(n) be the second derivative of n**3/6 + 17*n**2/2 + 26*n. Let t(z) = 7*z - 37. Calculate the remainder when t(22) is divided by k(3).
17
Suppose -c + 3*j - 67 = 0, -189 = 4*c + 3*j + 64. Let w = 83 + c. Suppose -w*f + 17*f = -114. What is the remainder when 283 is divided by f?
55
Let p be (-12 + 10)*(-6)/2. Let b(j) = 2*j - 17. Let c be b(p). Let r(q) = -3*q + 15. What is the remainder when r(c) is divided by 9?
3
Suppose -4*y + 4*z + 335 = -y, 4*z - 319 = -3*y. Calculate the remainder when 207 is divided by y.
98
Suppose -3*u - 4*b = -7, -2*u - 2*b - b + 5 = 0. Let r(t) = 41*t**2 - 2*t + 1. Calculate the remainder when 239 is divided by r(u).
39
Suppose 40700 = 201*z - 157*z. Calculate the remainder when z is divided by 158.
135
Let d = 4646 + -4409. What is the remainder when 493 is divided by d?
19
Suppose 0 = -4*u - 0*u - 1328. Let f = 379 + u. What is the remainder when 56 is divided by f?
9
Suppose -4*i - 489 + 485 = 0, -5*i - 4635 = -5*u. What is the remainder when u is divided by 103?
102
Suppose 1638 = p + 4*u, -14*u + 4946 = 3*p - 10*u. Suppose 54 = 1657*f - p*f. Calculate the remainder when f is divided by 5.
3
Suppose -15019 - 23037 = -268*x. Calculate the remainder when x is divided by 52.
38
Suppose 0 = f + 4*o + 8, 20 = 3*f + 4*o + 28. Suppose f = 10*k - 275 + 25. What is the remainder when 66 is divided by k?
16
Let s = -63 + 66. Suppose -s*w + 1 = -2. Suppose i - w = 87. Calculate the remainder when i is divided by 30.
28
Calculate the remainder when 336 is divided by (8*(-18)/(-48))/(1/13).
24
Suppose 0 = w + 30*w + 1736. Let t = w - -122. Calculate the remainder when t is divided by 25.
16
Let t(a) = 134*a - 286. What is the remainder when t(8) is divided by 29?
3
Suppose 80*l - 104*l + 1008 = 0. Calculate the remainder when 128 is divided by l.
2
Let h = -329 - -333. Suppose -4*q - 32*x + 533 = -31*x, 0 = 2*q - h*x - 280. What is the remainder when q is divided by 15?
14
Suppose -4*u - b = -41, -18*u + 24 = -15*u - 6*b. Suppose -2*t - 3*t = -4*p - 127, p + 3 = 0. Calculate the remainder when t is divided by u.
3
Let c = 151 + -116. Suppose 0 = 4*n + 5*y - 77, -3*y - 34 - c = -4*n. Calculate the remainder when 35 is divided by n.
17
Let h(x) = x**3 + 28*x**2 + 48*x + 128. What is the remainder when h(-26) is divided by 89?
54
Suppose 474 = 5*m + s, -336 + 132 = -2*m + 2*s. What is the remainder when 3549 is divided by m?
93
Let t(o) = 6*o**3 - 12*o**2 - 29*o + 66. Let i(j) = -j**3 - j**2 + j - 1. Let n(r) = -5*i(r) - t(r). What is the remainder when 186 is divided by n(18)?
45
Let z be 160/6 - (-20)/(-30). Suppose 0 = 5*p - 3*m - 99, -z*m + 24*m = p - 12. What is the remainder when 62 is divided by p?
8
Let a = -90 + 181. What is the remainder when a + (144/4)/6 is divided by 25?
22
What is the remainder when (8/8)/(27/28647) is divided by 16?
5
Suppose -153 = 6*w + 543. Let s = -93 - w. Suppose -n = -8 - 4. Calculate the remainder when s is divided by n.
11
Let w = 87 + -42. Let t = 52 - w. Suppose -t*k + 155 = -146. What is the remainder when k is divided by 22?
21
Suppose 3*u + 474 = 3*d, -5*u - 3*d + d = 769. Let f = u + 160. Calculate the remainder when (7/2)/((-3)/(-12)) is divided by f.
4
Let s(g) be the third derivative of -g**6/120 - 3*g**5/20 + 11*g**4/8 - 5*g**3/6 - 37*g**2. What is the remainder when 147 is divided by s(-12)?
23
Suppose 3*l = -8*n + 4*n - 17, -3*l - 7 = 2*n. What is the remainder when 3/4 + (l - 1205/(-20)) is divided by 14/2 - (-4)/4?
6
Suppose 0 = 9*j - 38799 - 1456 + 3976. What is the remainder when j is divided by 32?
31
Let h(y) = 14*y + 425. Calculate the remainder when 1082 is divided by h(-28).
26
Suppose -25*z + 32*z + 189 = 0. Calculate the remainder when 5/(105/6)*7 - z is divided by 17.
12
Suppose 3*f = -4*x + 6*f + 2724, x - 686 = 2*f. What is the remainder when x is divided by 40?
38
Let p be (5/(-2))/((-50)/60). Let x(t) = -11*t**2 + p*t**3 + 3*t**3 - 19 + 2*t**2 - 14*t - 7*t**3. Calculate the remainder when x(-8) is divided by 5.
4
Suppose -4*q - 52 + 299 = 3*y, 3*y + 265 = 4*q. Calculate the remainder when 1980 is divided by q.
60
Let j = -20 + 33. Let f be (3/1)/((-60)/100). Let o(r) = -r**3 - 3*r**2 + 7*r + 3. Calculate the remainder when o(f) is divided by j.
5
Suppose -79 + 44 = -7*j. Suppose -220 = -5*x + 4*o, 13*x = 8*x + j*o + 220. Calculate the remainder when x is divided by 32.
12
Let m = 562 + -713. Let w = m + 175. What is the remainder when (-1)/((2/(-382))/1) is divided by w?
23
Let i = -2 + 5. Let k(c) = c**3 - 50*c**2 + 92*c + 2307. Calculate the remainder when k(47) is divided by i.
1
Suppose 2*i - 45 = -41. Suppose i*g - 2 = 20. What is the remainder when 107 is divided by ((231/12)/g)/((-2)/(-32))?
23
Let b = -3953 - -4061. What is the remainder when 2480 is divided by b?
104
Let t = -378740 - -378800. Let g = 38 + -21. What is the remainder when t is div