ivided by 67.
47
Suppose 105 = 4*x - 5*o, 0 = -570*x + 559*x + 3*o + 235. Suppose 0*w + 196 = 2*w. What is the remainder when w is divided by x?
18
Suppose 5*l - 418 = -98. Suppose 0*x + 2*x + 74 = 4*k, -4*k + 59 = -5*x. What is the remainder when l is divided by k?
1
Let w(d) = d**2 + 184*d + 565. What is the remainder when 61 is divided by w(-3)?
17
Suppose 2*v + 4*z - 1 = 13, -z - 2 = 0. Let x = v + 303. Calculate the remainder when x is divided by 35.
34
Suppose 41 = -175*d + 176*d. Let i(p) = p**3 - p + p - 4*p**2 + 6*p - 9 + 0*p**3. Calculate the remainder when d is divided by i(4).
11
Let l(n) = -21*n**2 + 17*n**2 - 3*n**2 + 25*n**3. What is the remainder when l(2) is divided by 36?
28
Let t = 277 - 120. Calculate the remainder when t is divided by 40/(-1)*14/(-35).
13
Let j = -14786 + 14927. Calculate the remainder when 283 is divided by j.
1
Let o be ((-25)/10 - -4)*6. Suppose o = 4*p - 4*g - 19, 0 = g. What is the remainder when p is divided by (-17)/(-4) - 12/(-16)?
2
Let y = 206 + -47. Suppose 3*z - 5*m + 25 = -z, z - 25 = -5*m. Suppose 4*f + 0*f - 74 = 2*t, t + 1 = z. What is the remainder when y is divided by f?
15
Calculate the remainder when (-22 - (-10 + -2011)) + -5 is divided by 133.
132
Let s(b) = -4*b**2 + 33*b - 3. Let h(v) = -16*v**2 + 136*v - 13. Let j(q) = 2*h(q) - 9*s(q). Calculate the remainder when j(8) is divided by 10.
7
Let l = -3557 + 4723. What is the remainder when l is divided by 130?
126
Let y = -434 + 447. Let h = 17 - 14. Suppose -124 = -h*x + 5*u - 0*u, 2*u = 2*x - 80. Calculate the remainder when x is divided by y.
12
Let y(f) = -f**3 + 51*f**2 - 144*f + 54. What is the remainder when 473 is divided by y(48)?
41
Let d = 36295 - 36264. What is the remainder when 13665 is divided by d?
25
Let l = -1713 + 3856. Suppose 16*w - 593 = l. What is the remainder when w is divided by 37?
23
Suppose 383 = 3*r + 4*l, 0*r - 2*r + 267 = 5*l. Suppose -7*i + 269 - 52 = 0. Calculate the remainder when r is divided by i.
28
Suppose -5*v + 5*z = -45, -2*v = 5*z + 28 - 74. Suppose v*k - 80 = -2. Suppose 245 = 11*w - k*w. Calculate the remainder when 193 is divided by w.
46
Suppose 10 = 5*b - 10*b, -5*q - b + 1908 = 0. What is the remainder when q is divided by 76?
2
Suppose 7*g - 19*g = -504. Let v = -316 - -340. Calculate the remainder when g is divided by v.
18
Let i be -64 + -6*(-6)/(-9). Let f = i + 132. Let h = -49 + f. Calculate the remainder when 37 is divided by h.
7
Let r = 3382 - 3362. Calculate the remainder when r is divided by 10.
0
What is the remainder when 40/96*(1 + -9)*-69 is divided by 98?
34
Let z(y) = -4*y**3 - y**2. Suppose -18*o + 24 = -24*o. Let b = 9 + o. Calculate the remainder when z(-2) is divided by b.
3
Suppose -252780 = -28*v - 94*v - 43*v. What is the remainder when v is divided by 53?
48
Suppose -5*g = -5*b - 2225, -2221 = -5*g + 19*b - 18*b. Calculate the remainder when g is divided by 23.
7
Let c = 149 + -148. Let q(n) = 4*n**3 + n**2 - 2*n. Let k be q(c). What is the remainder when 17 is divided by -3 + -1 + (11 - k) + 2?
5
Let c = 142 - 130. Suppose 100 + 14 = 2*a. Calculate the remainder when a is divided by c.
9
Suppose o - 4*f - 194 = 0, 5*f + 192 = 222*o - 221*o. Calculate the remainder when o is divided by 2.
0
Let o be ((-32)/5)/((-424)/(-40) + -11). Suppose o*m - 109 = 51. Calculate the remainder when m is divided by 4.
2
Let q = -155 + 239. Let g = -7708 + 7753. Calculate the remainder when q is divided by g.
39
Let i(y) = 62*y**2 + 15*y - 2. What is the remainder when i(-5) is divided by 11?
10
Let n be -1*(-4 + -1 - -10) - -59. Suppose -33*z + n = -31*z. What is the remainder when 78 is divided by z?
24
Suppose 0 = 5*y - 2*y + 207. Let i = 86 + y. What is the remainder when 117 is divided by i?
15
Let d = -27 - -38. Let r = -20 - -41. What is the remainder when r is divided by d + 3/((-6)/(-4))?
8
Let g(h) = -5*h**2 - 33*h + 7. What is the remainder when 498 is divided by g(-3)?
10
Let f(t) = -t**3 + 7*t**2 - 8*t + 7. Let q = 3258 - 23094. What is the remainder when (-4)/22 - q/198 is divided by f(5)?
15
Let v be (-34)/(-5) + (-5 + -2)/(-35). Calculate the remainder when 133 - (-1)/(-2)*(17 - v) is divided by 13.
11
Let p be (1 + 0 - 3) + (2 - 5). Let f be (17/3 + p)*402/4. Let n = f + -52. What is the remainder when n is divided by 5?
0
What is the remainder when 3*((72/42)/((-2)/(-105)) + 3) is divided by 146?
133
Let t be (3 - -3 - 1) + 6/(-3). Suppose 104 = -5*z + 314. Suppose -t*p = -9*p + z. What is the remainder when 47 is divided by p?
5
Suppose -29*x + 5*x + 600 = 0. Calculate the remainder when 536/(-6)*(22 - x) is divided by 16.
12
Let r(x) = -x + 3. Let c be -7 - 7/(-14)*14. Suppose 0 = 7*p - 42 - c. Calculate the remainder when p is divided by r(-3).
0
Suppose -2*i = -10, 2*d - 889*i + 886*i - 35 = 0. Calculate the remainder when 201 is divided by d.
1
What is the remainder when 16948 is divided by ((-4)/3 - 1316/282) + (-292)/(-4)?
64
Let z(v) = -v**3 + 18*v**2 + 1349*v + 38. Calculate the remainder when z(-29) is divided by 29.
9
Suppose 0 = -33*q + 49 + 644. What is the remainder when 2224 is divided by q?
19
Let f = 2043 + -2013. What is the remainder when f is divided by 2?
0
Suppose -5*y - 4*w = -635 - 207, 0 = 3*y + 3*w - 504. Suppose -b = -y + 85. What is the remainder when b is divided by 48?
37
Let x = 31 + -26. Suppose 570 - 20 = x*u. What is the remainder when u is divided by ((-1)/(4/(-4)))/((-7)/(-133))?
15
Let y = -9671 - -10935. What is the remainder when y is divided by 64?
48
Let b = -45195 + 45212. Calculate the remainder when 115 + 0 - 2/1 is divided by b.
11
Let o(y) = y + 9. Let m be o(-7). Suppose j - 244 = -m*i, i = 2*i + j - 124. Let z(c) = -41*c - 522. Calculate the remainder when i is divided by z(-13).
10
Let t = -1413 - -2447. Suppose 5*k = 16*k - t. Calculate the remainder when k is divided by 50.
44
Let s be (-3)/(4/512*-6). Let b = s + 25. What is the remainder when b is divided by 94/6 + 8/(-12)?
14
Suppose 0 = 3871*b - 3884*b + 2028. Calculate the remainder when b is divided by -3*-2*1/18*159.
50
Suppose -5*p = -5*u - 55, 0 = -0*u - 3*u + 4*p - 38. Let j be (-1592)/u - (4 - 6)/(-6). Calculate the remainder when (-2)/(-4) - j/(-10) is divided by 7.
6
Suppose 5*q + 90 = -b, -5*b - 6*q = -q + 470. Let f be (-13)/26 + b/(-2). Let p = f - 39. What is the remainder when 31 is divided by p?
7
Let c(f) = -f**3 + 14*f**2 - 32*f + 105. What is the remainder when 78 is divided by c(12)?
6
Suppose -38480 = 10*w - 75*w. What is the remainder when w is divided by 17?
14
Suppose -224 - 16 = -8*a. Calculate the remainder when (2/(10/(-117)))/((-9)/a) is divided by 40.
38
Suppose 8 + 12 = 5*p. Suppose 24 = 5*n + p*o, -2*n - 2*o = -0*o - 8. Calculate the remainder when (-528)/((-2068)/47) - -1 is divided by n.
5
Let z(u) = -30*u - 495. Suppose 1 = -4*v - 3*t - 27, -5*t = -4*v - 60. What is the remainder when (-2)/v + (-2622)/(-15) is divided by z(-18)?
40
Let s = -55756 + 55768. Let n(f) = f**3 - 8*f**2 + 6*f - 6. Let t be n(9). Suppose 2*g - t = -g. Calculate the remainder when g is divided by s.
7
Suppose 3*o - 7*o = -36. Let r(x) be the second derivative of -x**3/6 + 12*x**2 - 8*x. Calculate the remainder when 27 is divided by r(o).
12
What is the remainder when 60 is divided by (24/(-14))/((-10)/(2100/18))?
0
Suppose -3*g - 4*q = g - 248, 2*q + 140 = 2*g. Let s = -63 + g. Suppose 14 - 4 = x. Calculate the remainder when x is divided by s.
1
Let y = 1311 - 1028. What is the remainder when 570 is divided by y?
4
What is the remainder when 492 + -7 - (16/4 + -10) is divided by 41?
40
Let p = 42 - 40. Suppose 0 = -p*j + j + 3. Suppose j*x = 21 - 6. What is the remainder when 8 is divided by x?
3
Let z(q) = -6 + 11 + 11*q - q**2 - 3*q. What is the remainder when z(8) is divided by 1?
0
Let t be (-7 - -4) + 2 + 1. Suppose t = -a + 1 + 2. Suppose -3*z + 24 = -a. Calculate the remainder when 43 is divided by z.
7
Suppose -5*d + 17 = 2*b, 5*b + 12*d = 8*d. Suppose -1 = -3*o - 7. Calculate the remainder when 2261/38 + o/b is divided by 9.
6
Suppose 6*q + 10*q - 640 = 0. Calculate the remainder when (-5084)/(-16) - 1/(-4) is divided by q.
38
Suppose -150 = -3*s + 72. Let f(i) = 9*i**2 + 5*i - 7. Suppose 2*k + 6*k = -16. What is the remainder when s is