e the remainder when r is divided by 12.
9
Let c(u) = 2*u**2 - 34*u + 5. Let n be c(17). Suppose 0*i + i - 14 = -z, -37 = -2*z - n*i. Calculate the remainder when 1/(-3)*(-11 + -85) is divided by z.
10
Let j(z) = -53*z - 107. Let p be j(7). Let y = p + 557. Suppose -2*k + 20 = -34. Calculate the remainder when y is divided by k.
25
Suppose 0 = -5*h - 2*n + n - 1063, -430 = 2*h - 2*n. Let d = 241 + h. Calculate the remainder when 53 is divided by d.
25
Let j = -49 + 53. Suppose y - 14 = -g, -j*g + 1 + 4 = y. Suppose 65*f = 63*f + 96. Calculate the remainder when f is divided by y.
14
Suppose 0 = -3*w - 5*z + 60, 17*z - 78 = -2*w + 20*z. What is the remainder when 2739 is divided by w?
9
Let j(u) = u**3 - 31*u**2 - 32*u + 14. What is the remainder when 183 is divided by j(32)?
1
Let s = 687 - 666. Calculate the remainder when 77 is divided by 2*s/(-6)*(-264)/42.
33
Let q(p) = 7*p. Let i(n) = -6*n - 14. Let c be i(-3). Suppose -c*u = -5*b + 54, 0*b + 28 = 3*b + 2*u. Calculate the remainder when q(8) is divided by b.
6
Calculate the remainder when 3041 is divided by (14/(-7))/(2/(-13)).
12
Let g(d) = -d + 37. Let l(n) = 3*n - 110. Let b(v) = -11*g(v) - 4*l(v). Let q(m) = 211*m + 276. What is the remainder when q(-1) is divided by b(0)?
32
Let k be -2*(-9)/(-6) + 1. Let i(q) = -q + 7. Calculate the remainder when (k/3)/(26/(-351)) is divided by i(2).
4
Suppose 0 = -43*k + 9056 + 12143. Suppose -k = -14*x + 767. What is the remainder when x is divided by 43?
4
Let m(k) = -k**2 + 24*k - 35. Let g be m(22). Suppose -g*t + 4*t = 500. What is the remainder when 16 is divided by (-1)/3 + t/(-12)?
0
Suppose x - 7*l + 20 = -5*l, 5*l + 58 = -2*x. Let u = 35 + x. Suppose -2*q = -4*w - 10, 0 = -2*q - 5*w + 2 - 1. What is the remainder when u is divided by q?
2
Calculate the remainder when (-1520)/(-6) - 1 - (8400/72)/50 is divided by 105.
40
Suppose -4*g + 962 = 250. Suppose -10*q + 8*q = 3*b + 7, 2*b - 3*q + 9 = 0. What is the remainder when g is divided by 162/24*(-16)/b?
34
Let b(k) = -6*k**2 - 6*k - 3. Let d be b(3). Let h = -289 + 224. Let x = h - d. Calculate the remainder when x is divided by 4.
2
Suppose 4*l = 5*i - 1331, 2*l + 1009 = -2*i + 1563. Calculate the remainder when 20324 is divided by i.
270
Let o(t) be the first derivative of t**4/4 + t**3/3 - t**2 + 2*t - 10. Let r = 493 + -488. What is the remainder when r is divided by o(1)?
1
Let t(f) = f**3 - 8*f**2 - 25*f + 221. Calculate the remainder when t(9) is divided by 17.
9
Let j = -27501 - -27678. Calculate the remainder when j is divided by 101.
76
Suppose 4*j - 2*j - 116 = 0. Suppose j*f = 56*f + 194. Calculate the remainder when f is divided by 27.
16
What is the remainder when 7305 is divided by (-4*(-135)/(-18))/(-3) + 90?
5
Let d be 28 + -1 + 3/(-3). Suppose s - 3*y - d = 0, 0*s - 3*y + 166 = 5*s. Calculate the remainder when 123 is divided by s.
27
Let l(q) = -5*q - 25. Let f be l(-7). Calculate the remainder when 102/(-170) + 1396/f is divided by 25.
14
Let n(m) = 5*m**2 - m - 48. Let d(r) = -2*r**2 + r + 2. Let c(v) = 2*d(v) + n(v). Calculate the remainder when 71 is divided by c(-8).
11
Suppose -2*s + 232 = -3*x, -3*x - 184 = 2*s + 28. Suppose -7*b - 635 = 44. Let i = x - b. What is the remainder when i is divided by 8?
7
Suppose 0 = 7*b - 82 + 369. Let k = -38 - b. Suppose -2*j + 91 = k*c, -c = -4*j + 8*j - 17. Calculate the remainder when 130 is divided by c.
31
Let l(y) = -179*y + 33. Calculate the remainder when 1252 is divided by l(0).
31
Let m(w) = 7*w**2 + 3*w - 2. Let c be m(1). Let r be 0 + (2 - c)*(-32)/12. Suppose -36 = -4*i + r. What is the remainder when 46 is divided by i?
7
Let c(h) = 18*h**2 - 13*h + 25. What is the remainder when c(2) is divided by 49?
22
Let b be (-22)/(-4)*(-2 + 6). Let h(s) = -8*s + 189. What is the remainder when 139 is divided by h(b)?
9
Suppose 33*m + 1102 = 2422. Calculate the remainder when 4 + 154 + 1*-2 is divided by m.
36
Let q(r) = -r**2 + 13*r - 4. Suppose -35*f + 21 = -38*f. Calculate the remainder when q(10) is divided by f/(105/10)*-24.
10
Let m be 5/(1/1*(-2)/(-168)). Suppose 31*w - 3*w = m. What is the remainder when 343 is divided by w?
13
Let j(d) = d**2 + 158*d + 2032. Calculate the remainder when 3564 is divided by j(-14).
12
Let x = 0 - -4. Let y(v) = -2*v + 15. Let i be y(6). Suppose -5*f - 5 = 0, -5*w - 4*f = -i*f - 29. What is the remainder when w is divided by x?
2
Suppose 8 = 2*z + 3*k + 4, 0 = -5*k. Suppose -3*d = -5*s - 50, z*d + s = -27 + 82. What is the remainder when 94 is divided by d?
19
Suppose 131*b = 20*b - 178*b + 43350. What is the remainder when 305 is divided by b?
5
Suppose 78 - 191 = -4*z - 2*c + 79, 0 = 3*c. Calculate the remainder when 140 is divided by z.
44
Suppose 4*k = -2*s + 192, -51*k + 49*k + 4*s + 66 = 0. Calculate the remainder when 206 is divided by k.
26
Let f be 12 + (3/(-15) - 12/(-10)). Let w(b) = 3*b + 1. Let d be w(7). Suppose d = 5*a - f. Calculate the remainder when 41 is divided by a.
6
Let l(a) be the second derivative of 0 - 1/12*a**4 + 11/6*a**3 + 44*a + 25/2*a**2. What is the remainder when 49 is divided by l(12)?
10
Suppose 0 = 25*p - 28*p + 60. Calculate the remainder when p + (5 + -16 - -6) is divided by 6.
3
Let h = -1419 - -1483. What is the remainder when 722 is divided by h?
18
Let o = -23 + 16. Suppose 2*h + 5*f = 279, -3*h = 4*f - f - 432. What is the remainder when h is divided by 212/7 + 2/o?
27
Suppose -371 - 649 = -15*d. Calculate the remainder when 1826 is divided by d.
58
Let q = 161 - 105. Let a = -333 + 333. Suppose 0 = 2*m + 10, a = -2*f - m + 49 - 10. Calculate the remainder when q is divided by f.
12
What is the remainder when 395 is divided by 6*(8 + 105/(-14))?
2
Suppose 0 = -p - 3, -6*n + n = -4*p - 717. Suppose 5*f = 4*l - n, -6*f = l - 3*f - 31. Calculate the remainder when l is divided by 6.
4
Calculate the remainder when (17 - 11 - -2001)/3 is divided by 35.
4
Let a = 16938 - 15950. What is the remainder when a is divided by 140?
8
Suppose 191*g - 133*g = 4350. Calculate the remainder when 2394 is divided by g.
69
Calculate the remainder when 1264 is divided by (-10)/(-70) + 1120/49.
22
Suppose 6*z = 2*z + 1732. What is the remainder when 1305 is divided by z?
6
Suppose 6*o - 86 = -8. Let q be (16 - o)*2/6. What is the remainder when ((2 - 5) + 20)*q is divided by 6?
5
Let b(u) = -2*u**2 + 4 + u + 0*u + 5*u**2. What is the remainder when (0 - -2) + (34 - -18) is divided by b(-3)?
26
Let a(p) = 3518*p**3 + 2*p**2 - 2*p + 2. What is the remainder when a(1) is divided by 25?
20
Let r = -156 + 132. What is the remainder when 159 is divided by 7*r/(-28) + 12?
15
Let r(x) = 265*x + 3253. Calculate the remainder when r(-9) is divided by 283.
19
Let c = 2748 - 2628. Calculate the remainder when c is divided by 56.
8
Let x(z) = z + 11. Let c be x(-4). What is the remainder when 12 is divided by -6*(c + (-119)/14)?
3
Let a(m) = -m**3 - 3*m**2 - 4*m - 5. Let l be (-15)/(-40) - 108/32. Calculate the remainder when a(l) is divided by 4.
3
Let w(p) = 143*p + 1185. Calculate the remainder when w(-8) is divided by 100/5 + (-1 - -4).
18
Let p(q) = -37*q + 228. Let t be p(6). Let i(v) = 0 - 2 + 4*v**2 - 6*v + 0. Calculate the remainder when i(t) is divided by 28.
22
Suppose -17*d + 31 = 14. Calculate the remainder when d + -3 + (-682)/(-31) is divided by 8.
4
What is the remainder when (-16385)/(-174) - 5/(-6) is divided by 45?
5
Suppose 0 = 5*a - 489 - 3271. Calculate the remainder when a is divided by 14.
10
Let h(b) = 48*b - 4132. Calculate the remainder when 809 is divided by h(88).
73
Suppose -4*z - 69*y + 328 = -65*y, -z + 5*y + 88 = 0. Calculate the remainder when 330 is divided by z.
81
Let y(r) = -10*r. Let t be y(0). Suppose -7*s - 6*s - 143 = t. Let w(v) = v + 36. Calculate the remainder when 63 is divided by w(s).
13
Let y = 13509 - 10176. Calculate the remainder when y is divided by 47.
43
Suppose 3*i + 5*v - 343 = 0, 11*i + 5*v - 555 = 6*i. Calculate the remainder when 847 is divided by i.
105
Let d(t) = 21*t + 2. Suppose 43*n + 1546 = 45*n. What is the remainder when n is divided by d(4)?
85
Calculate the remainder when (-4 - -1)*(-6)/18*3587 is divided by 97.
95
Let q(r) = 33*r**3 + 3*r**2 - 2*r - 1. Let z be q(1). Let c = z - -2. Let a = c + 17. What