ided by 199?
197
Suppose -34*p + 29*p + 2140 = m, 2*p = 2*m + 868. Calculate the remainder when p is divided by 109.
102
Suppose -422*x + 477*x = 14080. Calculate the remainder when x is divided by 134.
122
Let d be 39/(-6)*56/(-14). Suppose -d*j - 567 = -35*j. Calculate the remainder when 692 is divided by j.
62
Let c(v) = 5*v - 25. Suppose 0 = -4*p - 0*p - 0*p. Let q(z) = -z + 9. Let j be q(p). Calculate the remainder when 96 is divided by c(j).
16
Let k = 7353 - 4919. Calculate the remainder when k is divided by 58.
56
Suppose -261 = -14*h + 89. Let c(n) = n. Let v be c(2). What is the remainder when (-147)/(-2) - 1/v is divided by h?
23
What is the remainder when 4/(-42)*3 + ((-1142900)/77)/(-10) is divided by 9?
8
Let q(g) = 5*g**2 + 186*g + 23. Calculate the remainder when 303 is divided by q(-38).
128
Let c(f) = -f**3 + 216*f**2 - 2050*f - 2. What is the remainder when 160 is divided by c(10)?
62
Let y(m) = 4*m + 43 - 44 + m - m**2. Suppose 4*u + 9 = 7*u. What is the remainder when u is divided by y(4)?
0
Suppose 894*t = 694*t + 482400. Calculate the remainder when t is divided by 15.
12
Let t(g) = 115*g + 1357. Calculate the remainder when 131 is divided by t(-11).
39
Suppose -7660 + 7144 + 32836 = 101*o. What is the remainder when 663 is divided by o?
23
Suppose -23 = 2*n + 4*s + 197, -2*n - 212 = 2*s. Let d = 140 + n. Calculate the remainder when d is divided by 8.
6
Suppose 29 = s + 5*o - 0, -89 = -5*s + 3*o. Suppose 0 = s*q - 16*q - 573. Calculate the remainder when q is divided by 24.
23
Suppose 8*u + 2 = 26. Suppose 84 = 3*a + 5*x + 7, u*a - 2*x = 49. Suppose 560 = -a*c + 4208. Calculate the remainder when c is divided by 39.
36
Let t(s) = s**3 - 3*s**2 + 29*s - 153. Calculate the remainder when 148 is divided by t(5).
22
Let b = -81 - -92. Suppose -12*w + b*w = a - 46, 0 = 5*a - 2*w - 209. Suppose -169 = -4*o + a. Calculate the remainder when 210 is divided by o.
51
Let k = -79 + 124. Let t be (-3 - 0) + 29 + -12. What is the remainder when k is divided by (8/t - 0)*42/2?
9
Let z(r) = 9*r + 104. Let h(u) = 11*u + 103. Let f(m) = -3*h(m) + 4*z(m). Calculate the remainder when f(-11) is divided by 26.
22
Suppose 4*b - 3*j + 2 = 0, -2*j - 4 = -b + j. Let a = b + 5. Calculate the remainder when 34 is divided by a*(94/30 + (-6)/(-30)).
4
Suppose 3*s = 20 - 5. Let n be 26/8 - (-1)/(-4). Suppose 0 = s*i - 4*m - 106, m - 43 - 7 = -n*i. What is the remainder when 34 is divided by i?
16
Suppose 0 = -5*o + 3869 - 2559. Calculate the remainder when o is divided by 23.
9
Let n = 1771 + -1771. Suppose n = -4*b - 12, 15*j - 11*j = 5*b + 35. Calculate the remainder when ((-23)/3)/(1/(-3)) is divided by j.
3
Let l(g) = 268*g - 6119. Calculate the remainder when 71 is divided by l(23).
26
Let i = 5 - -2. Suppose -4*m = -4*j - 104, 42*m - 44*m - j = -28. Calculate the remainder when m is divided by i.
4
Let x be (-3)/18*3 + 126/4. Let f(c) = c**3 - 29*c**2 - 60*c - 33. Calculate the remainder when 108 is divided by f(x).
21
Suppose 35*d - 42*d = 133*d - 3500. Let l(b) = 20*b - 3. Let h(k) = -7*k + 1. Let r(a) = 17*h(a) + 6*l(a). Calculate the remainder when d is divided by r(8).
4
Suppose i + 2142 = 2*o, -28*i + 2148 = 2*o - 26*i. Calculate the remainder when o is divided by 29.
28
Let t(z) = -z**3 - z**2 - z - 1. Let i(a) = -6*a**3 + 22*a**2 - 5*a - 40. Let c(v) = -i(v) + 5*t(v). What is the remainder when 69 is divided by c(27)?
34
Suppose 30*q + 1136 = 9296. Let w = q - 175. Let c(b) = b**2 + 6*b + 9. What is the remainder when w is divided by c(-8)?
22
Let q = 3778 - 3503. Calculate the remainder when q is divided by 71.
62
Let o be ((-219)/(-438))/((2 + -1)/32). What is the remainder when (0 + 15)*o + -22 + 27 is divided by 83?
79
Let h(z) = -z**3 - 11*z**2 + 2*z - 4. Let t be h(-12). Suppose 3*v - 2*m = 64, 4*v + 3*m + 2*m = t. Calculate the remainder when 118 is divided by v.
22
Suppose -4*v + 2 = i, 0*i = 3*v - 4*i + 8. Suppose 7*b + 27 - 90 = v. Suppose 0 = x + 7 - 22. What is the remainder when x is divided by b?
6
Let x(r) = r**2 + 12*r - 2. Let n be x(-10). Let z = n + 24. Suppose -2*c = -3*v - 153, -54 = -c - z*v + 12. What is the remainder when c is divided by 15?
12
Let h(l) = l**3 + 33*l**2 - 28*l - 109. Let y be h(-34). Let c = y + 364. What is the remainder when 249 is divided by c?
45
Suppose -2*z - 13 = -5*h, -2*z = -2*h - 2*h + 10. Suppose -5*d - 1 = -h*o - 13, 3*d - 8 = 2*o. What is the remainder when (-33)/o - (-39)/52 is divided by 4?
1
Let c = -1033 + 6206. Calculate the remainder when c is divided by 4.
1
Let f be (-2)/2*5*10/(-25). Let a(t) = -11 + 1 - f - 18*t + 3. Calculate the remainder when a(-6) is divided by 17.
14
Let y = 73 + -273. Calculate the remainder when y/(-24) + -8 + (-424)/(-6) is divided by 12.
11
Suppose 0 = -3*a + h + 224, -14 = -207*h + 205*h. Calculate the remainder when 5620 is divided by a.
76
Suppose -4*t + 13 = 3*z, 0 = -4*z + 5*t + 39 + 30. What is the remainder when ((-55)/(-4))/z + 2124/16 is divided by 27?
26
Let f(n) be the third derivative of -n**6/120 + 4*n**5/15 + 3*n**4/2 + 5*n**3/6 - 137*n**2. What is the remainder when 363 is divided by f(18)?
3
Let n be (-1 + 2 + 21)*312/39. Suppose -4*m = -4*j + n, 2*j - 94 = m + 4*m. Suppose -4*s + j = 2. What is the remainder when 18 is divided by s?
8
Let i(d) = d**3 + 29*d**2 - 141*d + 79. Calculate the remainder when i(-33) is divided by 29.
28
Let i be ((-1)/(-3))/(8/8424). Suppose 19*t - 162 = i. What is the remainder when 48 is divided by t?
21
Suppose 0 = 9*n - 13*n + 20. Suppose -z - 20 = z - 5*k, n*k = z + 20. Suppose -7*a - 3*a + 860 = z. Calculate the remainder when a is divided by 29.
28
Let g(c) = c**3 + 5*c**2 - 10*c + 48. Let p be g(-7). Suppose 2*i = p*x - 19*x + 86, -i - x + 37 = 0. Calculate the remainder when i is divided by 15.
11
Suppose 34*t - 19400 = -14270 + 22852. Calculate the remainder when t is divided by 15.
13
Let r = 191472 + -191403. Let n = 11 + 4. Suppose -33 = -2*f + n. Calculate the remainder when r is divided by f.
21
Suppose 15*h = 570 + 930. What is the remainder when h is divided by 15?
10
Let n(d) = -2*d**3 - 2*d - 2. Let y be n(-1). Suppose -y*f = -7*f. Suppose f = 4*o - 41 + 9. Calculate the remainder when 26 is divided by o.
2
Suppose 0*y + 10 = 5*y - 2*q, -3*y + 6 = 3*q. Suppose 2*d - 7*d + v = 151, -2 = -y*v. What is the remainder when 33 is divided by (-45)/d - (-22)/4?
5
Suppose -5*v + 2*k + 4 = 0, -6*v - 5*k - 10 = -10*v. Suppose 160*m - 171*m + 198 = v. Suppose -l - 4*l = -165. What is the remainder when l is divided by m?
15
Suppose 0*x = x + b, -3*b = x + 8. Suppose q = -5*g - 48 + 299, -x*g = 3*q - 203. Calculate the remainder when 195 is divided by g.
45
Calculate the remainder when (1/(-3)*284)/((-14)/147) is divided by 22.
4
Let x = 12693 - 11110. Calculate the remainder when x is divided by 49.
15
Let a = -16673 + 16865. What is the remainder when 12286 is divided by a?
190
Suppose 564*p - 567*p = 3*u - 252, 0 = -5*p - u + 424. Let o(s) = 22*s**3 + s**2 - 4*s + 3. What is the remainder when o(3) is divided by p?
84
Suppose 243 = 22*d + 5*d. What is the remainder when d is divided by 7?
2
Let o = -105051 + 105090. Suppose -g + 0*g = -3*q + 112, -34 = -q - 3*g. Let u = q - 16. Calculate the remainder when o is divided by u.
18
Let f = 15486 + -15478. Calculate the remainder when 868 is divided by f.
4
Calculate the remainder when 6154 is divided by (-25 + 21 + -10)*(-38)/7.
74
Let a(s) = 2*s**3 - 6*s + 4. Suppose -4*g = 7 + 1. Let w(l) = -2*l**3 - 4*l**2 - 4*l - 3. Calculate the remainder when a(2) is divided by w(g).
3
Let o(c) = c**2 - 7*c - 25. Let w be o(10). Suppose 13 + w = 3*j. Calculate the remainder when 7/((-63)/60)*(-24)/10 is divided by j.
4
Suppose -j - 3*f + 12 = f, 2*j + 3*f - 14 = 0. Suppose 216 = d - j*h, 5*d = 4*h + 1052 + 108. What is the remainder when d is divided by 84?
68
Suppose -4*d + 5*m + 139 = 0, -2*m - 8 + 2 = 0. Suppose 0 = -2*c + d - 9. What is the remainder when 76 is divided by c?
10
Let z(s) = 21*s**2 + 62*s + 48. What is the remainder when z(-4) is divided by 129?
7
Suppose 4*u + 5*w - 333 - 108 = 0, 5 = w. What is the remainder when 1869 is divided by u?
101
Let j = -436 + 306. Let f = -129 - j. Calculate the remainder when 24 is divided by -13 + 23 - 1