remainder when q is divided by z.
3
Let j = 197 - 193. Let r = 29 - 27. Suppose -36 = -r*s + 3*c - 5*c, 4*s = 4*c + 40. Calculate the remainder when s is divided by j.
2
Let i(f) = -12*f - 159. Calculate the remainder when 1777 is divided by i(-14).
4
Suppose -t + 2*a + 388 + 1301 = 0, -8458 = -5*t - 3*a. What is the remainder when t is divided by 121?
118
Suppose -16 = -4*j, -5*y - 2*j - 7 = -0*j. Let a be -4 + (1 - 30/y). Suppose -a*v = -10*v + 75. Calculate the remainder when v is divided by 8.
1
Suppose 0 = 7*t - 5*t - 10. Suppose -5*b = -k - 12, -13 = -2*b + 2*k - t. Calculate the remainder when (-1122)/(-9) + (8/(-6))/b is divided by 42.
40
Let l be 4 + -98*1/2. Let k = l - -5. Let u = k + 45. What is the remainder when 12 is divided by u?
2
Calculate the remainder when (4/2 - (-1990513)/952) + (-3)/(-24) is divided by 132.
113
Suppose 4*l = 6*o - o + 46, -l = -o - 12. Let w = l - -5. Calculate the remainder when 56*-2*1*(-1)/2 is divided by w.
18
Let p(y) = y**3 - 10*y**2 + 7*y - 54. What is the remainder when 1285 is divided by p(12)?
13
Suppose -568*m = -652*m + 23688. Suppose 4*s - 40 = -5*o + 7, s = 3*o + 16. What is the remainder when m is divided by s?
9
Let l(f) = -42*f**3 - 4*f**2 - 26*f - 46. Suppose -10*q - 33 + 13 = 0. Calculate the remainder when l(q) is divided by 82.
80
Suppose -9*w + 639 = 684. Let c(k) be the first derivative of k**4/4 + 7*k**3/3 + 9*k**2/2 + 16*k + 1. Calculate the remainder when c(w) is divided by 12.
9
Suppose -4 = 4*m - 28. Suppose 5*g - 330 = -m*g. Let u(o) = -3*o + 4. Calculate the remainder when g is divided by u(-4).
14
Let h = 8853 + -5916. What is the remainder when h is divided by 30?
27
Let g = 37 + -25. Suppose -l - 15 + 10 = 0. Let p(o) = -13*o - 30. What is the remainder when p(l) is divided by g?
11
Let d(o) = -228*o - 6339. Calculate the remainder when d(-31) is divided by 63.
36
Let k(t) = -t**2 + 36*t + 42. Let a be k(34). Suppose 0 = 5*v - 40 - a. Calculate the remainder when v is divided by 8.
6
Let r(j) = -2*j**3 - 54*j**2 + 4. Let n be r(-27). Suppose 3*h = 4*q - 29, n*h = -q + 23 + 8. Calculate the remainder when 38 is divided by q.
5
Let c = -3161 - -3227. What is the remainder when 402 is divided by c?
6
Suppose 17*j + 141 = -63. Calculate the remainder when (-140 - j/4)/(-1) is divided by 35.
32
Let p(b) = 31*b**2 + 9*b - 6. Let d be p(-3). Let z = d - 167. What is the remainder when 236 is divided by z?
78
Suppose 0 = -7*m + 58 + 19. Calculate the remainder when 37 is divided by (29/((-2233)/(-42)))/(1/m).
1
Let h(w) = w**2 + 9*w - 16. Let i be h(-10). Let q = -4 + i. Calculate the remainder when 28 is divided by (0 + 5)*(-32)/q.
12
Let t(s) = -22*s - 10. What is the remainder when t(-18) is divided by 141?
104
Suppose 21 = r - 27. Let w(u) = 16*u**2 - 10*u - 33. Calculate the remainder when w(-3) is divided by r.
45
What is the remainder when (-10 - 0)*2/(-4) - (-207 - -15) is divided by 85?
27
Let a(t) = -23*t - 926. Suppose -x + k + 42 = 3*x, 2*k - 4 = 0. What is the remainder when a(-42) is divided by x?
7
What is the remainder when 506 is divided by ((-5)/10)/((-52)/13832)?
107
Let a(g) = g**2 - 3*g + 1. Let y be 2 + 36*3/4. Suppose -2*d = -4*i + 3*d + y, 4*i = 4*d + 28. Calculate the remainder when i is divided by a(4).
1
Suppose w - 508 = -4*b + 4*w, -2*b + 236 = 3*w. Let f = 330 - b. Calculate the remainder when f is divided by 52.
50
What is the remainder when 7551 is divided by (-2*8)/((-308)/77 + 31/8)?
127
Let q be (26/3)/(((-88)/84)/11). Let v be (5 - q/(-28))/(1/32). Let r = v - 42. Calculate the remainder when 26 is divided by r.
12
Suppose 0 = -0*y + 4*y + 4, 5*l - 2*y = 57. Suppose h - 25 = -l. Let t = h + 7. What is the remainder when 145 is divided by t?
19
Let p(q) = 2*q**3 + 65*q**2 - 34*q + 25. Let x be p(-33). Let z be ((-6)/(-4))/(15/740). Suppose 11*k - z = x. Calculate the remainder when 58 is divided by k.
10
Suppose -6*m - 3*x + 88 = -5*m, -408 = -4*m + 2*x. Suppose 2*v + 3*d = m, -4*d = -3*v - d + 120. Calculate the remainder when v is divided by 24.
20
Let l be (-8)/(-5) + 22/275*5. Suppose 3*a - 87 = -3*t, -l*t + 19*a - 17*a = -78. What is the remainder when 44 is divided by t?
10
Let n = 175 + -180. What is the remainder when 42 is divided by (70/21)/n + 68/3?
20
Suppose 649 = 5*a + 24. Suppose -3*o + 6 = -f + a, 3*f - o = 317. Let h = 249 + -213. Calculate the remainder when f is divided by h.
32
Let o(s) = 8 + 5 - 11 + 3*s**2 + 1 - 3*s. Let v = 10 + -5. What is the remainder when o(2) is divided by v?
4
Suppose 4*y - 2*m = 60, -4*y + m - 26 = -6*y. Let u(g) = 57*g - 251. What is the remainder when u(y) is divided by 25?
22
Suppose 123*b = 127*b - 40. Let d(x) = -x**3 + 14*x**2 - 27*x + 120. Calculate the remainder when d(b) is divided by 12.
10
Let p(n) = 2*n**2 + 10*n - 26. Let l be p(-7). Suppose -l*v + 10 = 0, -s = 39*v - 42*v - 697. Calculate the remainder when s is divided by 14.
12
Let f(x) = -2*x**2 + 4*x + 46. Let v be f(0). Let b = v + -24. Let z(u) = 63*u**2 - u - 1. What is the remainder when z(-1) is divided by b?
19
Let s = 66 + -37. What is the remainder when (-687)/(-8) - (-1)/8 is divided by s?
28
Let l be (-38 + 42)/(-1 - -3). Suppose 4*v - 333 = -5*r, -4*r = -l*v - 5*r + 159. Calculate the remainder when v is divided by 20.
17
Let t(m) = 4*m**2 - 141*m + 451. What is the remainder when t(32) is divided by 32?
3
What is the remainder when 89 - (-1 + (-11 - -12)) is divided by 45?
44
Let z = 14 + -8. Let f be 72/90 - (-747)/(-15). Let g = f - -71. Calculate the remainder when g is divided by z.
4
Calculate the remainder when 626 is divided by (-5)/((-50)/(-60)) + 82.
18
Suppose -13 + 1 = 4*w. Let m = -25 - -44. Calculate the remainder when (8/20)/(w - 2780/(-925)) is divided by m.
17
Let r(c) = c**3 + 30*c**2 + 3*c + 8. Let f = 17 + -6. What is the remainder when f is divided by r(0)?
3
Let d(p) be the third derivative of p**5/60 + p**4/24 + 3*p**3/2 + 18*p**2. Suppose -30 = -2*f + 72. What is the remainder when d(-10) is divided by f?
48
Let d(v) be the third derivative of v**5/60 + 5*v**4/12 - 3*v**3 - 16*v**2. Let q be d(-10). Let l = q + 27. Calculate the remainder when 44 is divided by l.
8
Suppose -32*x + 45908 = -x + 15*x. Calculate the remainder when x is divided by 31.
6
Suppose 3*h = -13*s + 16*s - 432, -718 = -5*s + 4*h. What is the remainder when 702 is divided by s?
134
Let o(p) = -p**3 + p - 6. Let x be o(0). Calculate the remainder when 411 + (x - (-3 + -3)) is divided by 46.
43
Let h = 333 + -103. Let q = -214 + h. Calculate the remainder when (4/6)/(4/1326) is divided by q.
13
Suppose 249*r = 185*r + 1728. Calculate the remainder when 186 is divided by r.
24
Let i = -3971 - -4603. Calculate the remainder when i is divided by 101.
26
Let u(n) be the second derivative of 0 + 3/2*n**2 + 11*n - 2/3*n**3. What is the remainder when 60 is divided by u(-7)?
29
Suppose 2*r - s = 350, 5*r + 7*s - 4*s - 886 = 0. Calculate the remainder when r is divided by 95.
81
Let i be 69/1 + 1 + 0 + -4. Suppose -12*g + i = -2274. What is the remainder when g is divided by 49?
48
Suppose 4*k + 0*k + 200 = 3*c, 0 = -2*c + 4*k + 136. Suppose 3*s - c = 8. Let a = 195 - 186. Calculate the remainder when s is divided by a.
6
Suppose 17*o - 23*o + 24 = 0. Suppose -2*k - 4*i + 54 + 30 = 0, -o*k = -2*i - 178. Calculate the remainder when 131 is divided by k.
43
Suppose -4783*k = -4679*k - 5671 + 263. Suppose -v = 2 - 6. Suppose v*p = -39 + 95. What is the remainder when k is divided by p?
10
Let z be (-26)/(-65) - (1 - (-328)/(-5)). Let l = z + -14. What is the remainder when l is divided by 27?
24
Let u = -18 + 81. Suppose 3*r - 2*a - 342 = -r, 5*r - 427 = 3*a. Suppose -8*j - r = -270. What is the remainder when u is divided by j?
17
Let w(s) = 4*s**2 - 189*s + 2258. Suppose 5*v - 735 = 5*m, 6*m - m = 3*v - 443. What is the remainder when v is divided by w(24)?
16
Let q(o) = -o**3 + 49*o**2 - 543*o + 27. What is the remainder when 367 is divided by q(32)?
13
Suppose 21*l - 19*l - 70 = 0. Suppose -41*c = -l*c - 462. Calculate the remainder when c is divided by 20.
17
Let x = -9186 + 9988. Calculate the remainder when x is divided by 27.
19
Suppose -5*i = -2*x - 1200, 0*x + 4*i = -2*x - 1182. Let g = 629 + x. Calculate the remainder when 