t is the remainder when p is divided by y?
1
Let y be (3 + 22)/5 - -1. Suppose w - y*w + 9 = -2*u, 3 = -3*u + 4*w. Suppose 2*m + 138 = 5*p + m, -u*p + m = -82. What is the remainder when p is divided by 5?
3
Let t = -9 - -22. Let u = 2003 + -1940. Calculate the remainder when u is divided by t.
11
Let m be (3 - 57/(-3))*4. Suppose 5*w + 59 = 4*l - 11, 4*l + 4*w - m = 0. Let j = 36 - l. Calculate the remainder when j is divided by 9.
7
Let y = 79 - -1. Calculate the remainder when 22 is divided by y/6 + (-3 - 22/(-6)).
8
Suppose -x - 5*d - 69 = 0, -5*x + 3*d + 0*d - 373 = 0. Let h(z) = 139*z + 4. Let k be h(-1). Let b = x - k. What is the remainder when b is divided by 16?
13
Suppose -2*g + 1174 = 3*i, -5*i + 4*g - 174 = -2160. Calculate the remainder when i is divided by 69.
49
Let s(y) = y**3 + 8*y**2 + 3*y - 6. Let t be s(-6). Suppose 5*d = 8*d - t. What is the remainder when ((-9)/(-2))/((-2)/(-20)) is divided by d?
13
Suppose 0 = -h - 2 + 17. Suppose 10 = 13*y - 12*y. Suppose -y = -5*i, 3*z + 1 = 5*i + 9. What is the remainder when h is divided by z?
3
What is the remainder when (2 + 1)*((-120)/(-2) - -2) is divided by 63?
60
Let n(a) = a**3 + 6*a**2 + 3*a + 5. Suppose -4*r = 5 - 21. Suppose 0*t + 3*t - 15 = -2*q, r*t - 32 = -4*q. Calculate the remainder when n(-5) is divided by q.
6
Suppose 93 = 6*l - 93. Suppose -5 + l = 2*o. Calculate the remainder when 50 is divided by o.
11
Suppose 2*h + m = 157, -h + 16*m + 86 = 15*m. Calculate the remainder when 267 is divided by h.
24
Let f(d) = 7*d**2 + d - 2. Let s be f(1). Suppose -s = 3*m - 6*m. Calculate the remainder when m is divided by 1.
0
Suppose 4*m - 5*y - 55 = 0, -3 = -y + 2*y. Suppose -3*z + 42 = 4*o, -3*o - 63 = -11*z + 8*z. Calculate the remainder when z is divided by m.
8
Let t = 138 - 117. Suppose 0 = -2*y + l + 21, -3*l - l + 26 = 2*y. Calculate the remainder when t is divided by y.
10
Suppose -p + 24 = 3*m, -4*p - m + 73 + 12 = 0. Suppose -2*d = -80 - 36. Calculate the remainder when d is divided by p.
16
Let l(x) = x**2 + 11*x + 60. Calculate the remainder when l(-11) is divided by 5/20 - 174/(-8).
16
Let h be 4/10*(-6 - -11). Suppose -h + 15 = q. Calculate the remainder when 64 is divided by q.
12
Suppose 2*m = 4*b + 432, -877 = 59*m - 63*m - 5*b. Calculate the remainder when m is divided by 49.
22
Suppose 3*a - 80 = -2*w, -18*w + 14*w + a = -146. What is the remainder when 405 is divided by w?
35
Let y(r) = -r**3 + 2*r**2 + 5*r - 2. Calculate the remainder when 336/9 + (-4)/(-6) is divided by y(2).
6
Suppose 27*f - 78 = 25*f. Calculate the remainder when f is divided by 20.
19
Suppose g + n - 63 + 16 = 0, -g - 2*n + 51 = 0. What is the remainder when g is divided by 2/7 - 309/(-21)?
13
Suppose 0 = -4*c + 4*j + 172, 5*j = c + 2*c - 137. Let z = c - 17. What is the remainder when z is divided by 12?
10
Let j(w) = -w**3 + 32*w**2 + 5*w + 6. What is the remainder when j(32) is divided by 21?
19
Let a(z) = 2*z + 5. Let r(t) = -33*t**2 + 2*t - 3. Let l be r(3). Calculate the remainder when (-9)/(-6)*l/(-9) is divided by a(6).
15
Suppose 4*u - 3 = v - 8, -4*u + 5*v = 9. Let o(b) = -2*b**3. Calculate the remainder when u - (2 - 5) - -4 is divided by o(-1).
0
Let t = 381 - 341. Calculate the remainder when t is divided by 28.
12
Suppose 0 = -4*b + d - 2, 4*d = -5*b - 0*d + 8. Suppose 0 = -b*v + 9*v - 342. Calculate the remainder when v is divided by 10.
8
Let m = -6 - -20. Let r = 25 - m. Calculate the remainder when 41 is divided by r.
8
Let d(q) be the first derivative of q**3/3 + 6*q**2 + 17*q + 4. What is the remainder when 209 is divided by d(-13)?
29
Suppose -m + 0*m + 2 = 0. Let o be 24/m - (4 - 2). Calculate the remainder when 21 is divided by (-30)/9*(-36)/o.
9
Suppose -5*x + 12*x = -28. What is the remainder when 11 is divided by ((-14)/x)/((-25)/(-50))?
4
Let u(b) = 85*b**2 + 4*b - 6. Let i be u(2). Let w = i - 195. Calculate the remainder when w is divided by 37.
36
Let o(h) = -63*h**3 + h**2 + 3*h - 3. Calculate the remainder when o(-2) is divided by 18.
13
Calculate the remainder when (9/45)/(6/375)*14 is divided by 61.
53
Calculate the remainder when 295 is divided by 57 + -5*(-36)/60.
55
Suppose -37*o + 39*o - 24 = 0. Suppose -o*f + 40 = -7*f. Calculate the remainder when 30 is divided by f.
6
Let p be 20/15 - 2/(-3). Suppose -p*h = -5*j - 17, 5*h + 3*j - 102 = -13. What is the remainder when 28 is divided by h?
12
Let v(d) = -2*d - 4 + 0*d + d + d**2. Calculate the remainder when (65/15)/((-2)/(-6)) is divided by v(-3).
5
Calculate the remainder when 33 is divided by (8/(160/15))/(3/12).
0
Calculate the remainder when 16/6*(-6)/4*-17 is divided by 9.
5
Suppose 60*t = -q + 64*t + 167, -q = -2*t - 177. Calculate the remainder when q is divided by 45.
7
Suppose -8 = 20*x - 328. Calculate the remainder when 104 is divided by x.
8
Calculate the remainder when 238 is divided by 3/6*-13*2*-9.
4
Suppose -2*k + 12 = -3*f - 32, 2*k = -f + 28. Calculate the remainder when 46 is divided by k.
14
Let s = 97 + -39. Calculate the remainder when s is divided by 15.
13
Suppose -2*m - 17 = -c + 31, 4*c = -4*m - 96. Suppose 0*s - 24 = 2*s. Calculate the remainder when 11 is divided by 2/s + (-76)/m.
2
Let m = -84 + 24. Let s be ((-5)/(-3))/((-5)/m). Suppose 2*q + 0*g = -4*g, 2*g = -3*q + s. Calculate the remainder when 39 is divided by q.
9
Calculate the remainder when 5/2 + -2 + (-4173)/(-78) is divided by 14.
12
Suppose -5*h + x + 348 = 0, -2*h + 3*h - 3*x - 78 = 0. What is the remainder when h is divided by (-2)/(2/5) - (-207)/9?
15
Let c = -105 - -108. What is the remainder when 24 is divided by c/((-15)/(-50)) + -3?
3
Let h be 2 + 9 - (2 - 3). Suppose 3*r = -h + 27. Calculate the remainder when 12 is divided by r.
2
Suppose -17*r = 2*r - 171. Calculate the remainder when 68 is divided by r.
5
Let k(s) = -3*s + 29. Let t = 89 - 97. What is the remainder when 210 is divided by k(t)?
51
Let q be (0/3 - -13) + 3. Suppose 2*w - 118 = -q. Calculate the remainder when w is divided by 18.
15
Let i(c) = 5*c + 161. What is the remainder when i(-28) is divided by 5?
1
Let d(t) = -2*t**2 - 62*t - 53. What is the remainder when d(-29) is divided by 22?
19
Suppose 5*b = -2*n + 14 + 6, 3*n = 5*b + 5. Suppose 36*o = 35*o + n. Calculate the remainder when 15 is divided by o.
0
Let l = 247 + -219. What is the remainder when 307 is divided by l?
27
Let u(z) = 3*z**2 + 21*z + 13. Suppose -25 = 4*a + 3*y, -3*y + 25 = 2*y. Calculate the remainder when u(a) is divided by 53.
50
Suppose -4*w - 415 = -79. Let z = -25 - w. Calculate the remainder when z is divided by 15.
14
Suppose -8*m + 21 = -m. Let v be (-2)/7 - 172/(-14). What is the remainder when 99/v + (-1)/4 is divided by m?
2
Let j = 425 - 410. What is the remainder when 229 is divided by j?
4
Suppose 4*w + 4*b - 12 = 120, 4*b + 66 = 2*w. Calculate the remainder when 260 is divided by w.
29
Calculate the remainder when 210 is divided by 735/20*32/24.
14
Let z(j) = j**2 + 8*j - 2. Calculate the remainder when z(-12) is divided by (2 + -53)*(-1)/3.
12
Calculate the remainder when (-3)/(-4)*2*19320/180 is divided by 33.
29
Let g(u) = -7*u - 44. What is the remainder when 19 is divided by g(-9)?
0
Suppose 0*t - 3*t = -333. Suppose 5*y - a = 9*y - 69, 84 = 4*y + 4*a. Calculate the remainder when t is divided by y.
15
Suppose 4*l = -p + 6, 4*p - 10 = l + 14. Suppose s - 2 = -0. Calculate the remainder when (-7)/(-3) + (-2)/p is divided by s.
0
Let m = -936 - -1025. Calculate the remainder when m is divided by 37.
15
Let t = -6 + 45. Let y(x) = -x**2 + 5*x - 4. Let k be y(5). Let m = k - -18. What is the remainder when t is divided by m?
11
Suppose -5*p = 47 + 153. Let l = 6 - p. What is the remainder when l is divided by 18?
10
Let j = -7 - -1. Let c = 53 + j. What is the remainder when c is divided by 16?
15
Suppose 0*r = -4*m + r + 116, 0 = 4*r. Calculate the remainder when m is divided by 18.
11
Suppose 4*u + 86 = 3*i + 240, -i + 122 = 3*u. Calculate the remainder when u is divided by 32.
8
Let g(j) = -j**2 + j - 2. Let s be 4/(-10) - 72/20. Let w be g(s). Calculate the remainder when 3 is divided by w/(-14) - 6/(-14).
1
Let p(n) = n**2 + 44*n - 83. Calculate the remainder when 104 is divided by p(-47).
46
Let k(x) = -4*x**3 + 55*x**2 + 16*x. Wha