y x?
1
Suppose z - 2*w = -7*w - 9, -3*z = -4*w - 49. Suppose -z*j = 21*j - 992. What is the remainder when j is divided by (5 - 2)*68/12?
14
Suppose -3*q + 4*q = 2. Suppose 0 = 3*l - 12 + 18, 5*l + 330 = 5*x. Let p = 71 - x. What is the remainder when p is divided by q?
1
Let m(s) = -s**3 + 19*s**2 - 19*s + 28. Suppose 4*j - 38 - 34 = 0. Let f = j + 9. Calculate the remainder when f is divided by m(18).
7
Let z(y) = y**3 - 5*y**2 - 12*y + 14. Let i be z(7). Let j = 41 - i. Suppose 52 = 2*w - 2*r, 0 = 4*r - 2*r + 2. Calculate the remainder when w is divided by j.
12
Let k(i) = i**3 - 9*i**2 + 9*i - 154. Let c be k(11). Let o = 220 - c. What is the remainder when 259 is divided by o?
28
Let v = 31 + -18. Let c(g) = 43*g - 286. Let t be c(15). Let m = t + -295. Calculate the remainder when m is divided by v.
12
Let n(i) = 4 + 124*i**3 - 2*i**2 - 4*i**2 - 122*i**3. Let o be n(3). Suppose 78 = 4*c - o*x + 22, 61 = 4*c + x. Calculate the remainder when c is divided by 8.
7
Let c(y) = -5*y**3 - 35*y**2 + 38*y + 148. Calculate the remainder when c(-15) is divided by 33.
31
Let v = -2618 - -2630. Calculate the remainder when 36 is divided by v.
0
Let t be 20/(-6)*21/(-14). Suppose -t*j - 41 = -21. Let o(k) = -k**3 - 5*k**2 - 7*k + 6. Calculate the remainder when 49 is divided by o(j).
13
Let g(j) = -j**3 + 9*j**2 + 2*j + 1. Let h be g(8). Let l = -45 + h. Suppose 0 = 3*v + v - 52. What is the remainder when l is divided by v?
10
Calculate the remainder when (143 + -5)/((390/80)/13) is divided by 35.
18
Let x(l) = -l**2 - 4*l + 41. Let a be (4/7)/(4/28). Suppose 4*r + 0*r + 2*t = -30, a*t = 5*r + 31. Calculate the remainder when 58 is divided by x(r).
18
Suppose 0 = -d - 6*v + 5*v, -2*d + 12 = -v. Suppose p + 2 = 0, -d*n + 2 = -p + 120. Calculate the remainder when 76 is divided by ((-26)/(-2))/(6/n*-5).
11
Let n(y) = -4*y - 1. Let z be n(-1). Let h be z + (51 + 4)/5. Suppose -5*l = -56 - h. What is the remainder when 26 is divided by l?
12
Suppose -207*c + 50693 = -28400 - 188. Calculate the remainder when c is divided by 28.
19
Let o(r) = -r**3 - 16*r**2 - 15*r + 4. Let h be o(-15). Suppose -2*c - 33 + 86 = -5*t, 88 = 4*c - h*t. Calculate the remainder when c is divided by 11.
8
Let g(p) = p**3 + 14*p**2 + 23*p + 19. Let u be g(-10). Suppose -u = -18*h + 11*h. Calculate the remainder when 63 is divided by h.
9
Calculate the remainder when 463 is divided by ((-4)/(-1))/(-36) - (-1300)/36.
31
Suppose -5*w = 4*p + 17, -9 = 2*w + w + 3*p. Let g(q) = -q**2 - 6*q + 6. What is the remainder when 151 is divided by g(w)?
8
Let z = -26969 + 27032. Calculate the remainder when 471 is divided by z.
30
Let f = -1450 - -1583. What is the remainder when f is divided by 89?
44
Suppose 9*k + 3*k + 132 = 0. Let o(u) = 5*u + 61. Calculate the remainder when 25 is divided by o(k).
1
Suppose -48 = -0*h - 2*h. Let v(u) = 13*u + 9*u - 20*u + 93. What is the remainder when v(0) is divided by h?
21
Let p(o) = -o. Let h(f) = f**2 - 3*f + 49. Let z be h(-11). Let c = 207 - z. What is the remainder when p(-5) is divided by c?
1
Suppose -9*c + 236 = -205. Calculate the remainder when 451 is divided by c.
10
Suppose -5 = 4*g - q - 1883, 0 = 5*q + 10. Let j = 528 - g. Calculate the remainder when 411 is divided by j.
57
Let r(y) = -2*y**2 - 2*y + 5. Calculate the remainder when 34 is divided by r(-2).
0
Let a be 60/24*(-4)/5*-1. Suppose 0*r + a*r = 3*d + 40, -2*r - 2*d = -20. Let y = -5 - -9. Calculate the remainder when r is divided by y.
2
Let v(u) be the first derivative of -2*u**3/3 - 3*u**2 - 9*u + 18. Let a be v(-3). Let p = -1 - a. What is the remainder when 47 is divided by p?
7
Let d be (5/20*-10)/((-5)/4). Suppose -2*p + 50 + 44 = 0. Calculate the remainder when d*(4 + 165) - 11 is divided by p.
45
Suppose 0*f - h = -4*f + 4, -2*h = -8. Calculate the remainder when (-1)/2*f/(-3)*27 is divided by (143/(-55) - (-6)/10)*-1.
1
Suppose 2*g = 8*g - 186. Suppose -i - 191 = 4*z - 551, 4*z - 4*i = 360. Calculate the remainder when z is divided by g.
28
Let s = -297 - -913. What is the remainder when 91 is divided by (72/(-14))/((-66)/s) - -2?
41
Let c(k) = 4*k + 4. Let y be c(-1). Suppose 0 = -4*g - 2*u + 426, y = 3*g - 2*u - 31 - 271. Calculate the remainder when 8 is divided by 1/4 + 182/g.
0
Let x = -839 + 837. What is the remainder when (9 + x)*59*7/7 is divided by 11?
6
Let l be (44/55)/((-2)/(-15)). Suppose 0 = -3*s + l, p + 3*p = s - 310. Let d = p + 111. What is the remainder when d is divided by 18?
16
Let v(l) = -4*l - 24. Let g be v(-7). Suppose g*w - 17 = 11. Calculate the remainder when w is divided by 6.
1
Let i be -1*-2*(-1 - (-28)/8). Suppose -5*w - 112 = -9*w - 5*d, -i*w - 5*d + 135 = 0. What is the remainder when (0 - (-1 + 3)) + 139 is divided by w?
22
Suppose 2*z + 191 = -89. Let i = -94 - z. Let u = i - 38. What is the remainder when 47 is divided by u?
7
Let w(o) = -o**3 - 11*o**2 - 42*o - 92. What is the remainder when 48 is divided by w(-7)?
0
Suppose -136*d + 128*d = -24. Suppose d*f = 99 + 132. What is the remainder when 382 is divided by f?
74
Let z(t) = -t**3 - 6*t**2 + 12. Let f(n) = 96 + n - 86 + n. Let r be f(-8). Calculate the remainder when 43 is divided by z(r).
7
Suppose -3*m + 2*m + 704 = 0. Suppose -j + 262 = 3*v, v + m + 318 = 4*j. Suppose -72 + j = 4*f. What is the remainder when f is divided by 13?
7
Let i be ((-15180)/(-825))/((-3)/(-5) - 1). Calculate the remainder when 56 - (-12)/(-10)*(-115)/i is divided by 10.
3
Let g = -125 - -506. Let q = 389 - g. Calculate the remainder when 47 is divided by q.
7
Let d be (6/(-3))/(6/267). Let h = d + 91. Suppose -2*f - h*f = 3*k - 147, f = 5*k + 31. Calculate the remainder when f is divided by 14.
8
Let h(p) = -2*p**3 - 4*p**2 - 27*p - 37. Calculate the remainder when 804 is divided by h(-4).
129
Suppose 3*r - 129 = 2*n, -441*n + 126 = 4*r - 436*n. What is the remainder when 45 is divided by r?
6
Suppose 0*c + 910 + 447 = 23*c. Calculate the remainder when 544 is divided by c.
13
Suppose 250 + 2821 + 3883 = 183*i. Calculate the remainder when 1266 is divided by i.
12
Let c be -6 - (-48)/(-40)*-5. What is the remainder when 123 - 119 - (3*-29 - c) is divided by 4?
3
Suppose 2*o - 323 = i + 1151, -2*i = -o + 731. Calculate the remainder when o is divided by 240.
19
Let j = 1492 - 932. Calculate the remainder when j is divided by 186.
2
Suppose 3*z + l - 55 = 0, 85*l = -3*z + 87*l + 61. Let y = 62 + -25. Calculate the remainder when y is divided by z.
18
Let u = -414 - -694. Let f be ((112/20)/7)/((-4)/(-2210)). Let a = f - u. What is the remainder when a is divided by 33?
30
Suppose 5*s = -4*a + 16 + 70, 30 = -5*a. Suppose -34 + 4 = -5*o. Calculate the remainder when (2 + -1)/(o/186) is divided by s.
9
Let a = 17 - 14. Let x be ((-10)/20)/(2/(-4)). Suppose 38 = 13*n - x. Calculate the remainder when n is divided by a.
0
Let o(j) be the second derivative of 69*j**5/20 - j**3/3 + j**2 - 127*j. What is the remainder when o(1) is divided by (-71)/(-4) - (-1)/4?
15
Suppose 3*v = -4*p + 18, -4*p + 24 = 4*v - 0*p. What is the remainder when 194 is divided by v?
2
Let n(l) = -3078*l + 0 - 2 + 3094*l - l**2. Let c be n(14). What is the remainder when c - (6/(-4) - (-2)/4) is divided by 7?
6
Let s(r) = 2*r**3 - 2*r**2 + r - 4. Let o be s(3). What is the remainder when 102 is divided by (-1)/(-7) - ((-940)/o + -4)?
9
Let f(w) = w**3 + 23*w**2 + 42*w + 23. Suppose -2*b = 220 - 178. Calculate the remainder when 66 + 3/(-12)*-4 is divided by f(b).
21
Let k(u) = 2*u**2 - 7*u + 13. Suppose -18*p + 72 = -0. What is the remainder when k(p) is divided by 9?
8
Suppose -5*w + 970 = -3*g, 0 = -3*w + w + g + 389. Suppose 4*x = -4*y + 236, -158*x + 104 = -156*x + 4*y. What is the remainder when w is divided by x?
65
Let o(r) = 3*r - 47. Let v(c) = -1. Let z(m) = -o(m) - 5*v(m). Calculate the remainder when 46 is divided by z(15).
4
Suppose -15*u = -6*u - 18. Let t(n) = -5 - 3*n**u + 4*n**3 - n**2 + 6*n + 0*n**2 + 0*n. Calculate the remainder when 158 is divided by t(2).
20
Let c = 18 - 6. Calculate the remainder when ((-3682)/2367 - (-78)/189)/((6/(-35))/3) is divided by c.
8
Let v(u) = u**2 - 3*u + 7. Let m be -68*(-5)/30 + 2/3. Suppose 19*t - 21*t + m = 0. Calculate the remainder when v(7) is divided by t.
5
Let q(n) 