j - 5*p. Calculate the remainder when j is divided by 7.
5
Suppose s - 2*s = -3*l, -2*s - 2*l - 16 = 0. What is the remainder when 59 is divided by 3/((-324)/240 + s/(-4))?
19
Suppose -3*o + 1248 = 4*n + 285, 4*o - 1253 = 5*n. What is the remainder when o is divided by 46?
41
Suppose -237*t = -236*t - 1030. What is the remainder when t is divided by 69?
64
Let i = -450 + 869. What is the remainder when i is divided by 60?
59
Suppose -j + 3*r = -14, 3*j + 6*r - 18 = 3*r. Let m be j/24 - 128/(-3). Let a = m + -24. Calculate the remainder when 55 is divided by a.
17
Let t be (-103)/(-2)*(2 + 0). Let x = -46 + t. Suppose 3*j + 0*j - 3*b = x, 3*j + b = 37. What is the remainder when 40 is divided by j?
12
Let v(k) = -k**3 - 10*k**2 + 12*k + 15. Let z be 3*1/6*-4. What is the remainder when (-13)/((0 - z)/(-2)) is divided by v(-11)?
1
Suppose 20 + 1 = -3*a + 2*v, -35 = 5*a - 2*v. Let t(s) = -s**3 - 7*s**2 - 2*s - 5. What is the remainder when t(a) is divided by 6?
3
Let l(t) = t**3 - 12*t**2 + 4*t - 2. Calculate the remainder when l(12) is divided by 24.
22
Let s = 43 - 33. What is the remainder when (36 - 6 - 5) + (2 - 1) is divided by s?
6
Calculate the remainder when 245 is divided by 13*(2 + 7)/9.
11
Suppose 270 = -8*x + 13*x. What is the remainder when 268 is divided by x?
52
Let b(p) be the second derivative of -p**5/20 + p**4/12 + p**3/6 + 4*p**2 - p. Let u be (-12)/20 - (-6)/10. What is the remainder when 21 is divided by b(u)?
5
Let h = -732 - -831. Calculate the remainder when h is divided by 34.
31
Let q(z) = -z**3 + 16*z**2 - 19*z + 166. Calculate the remainder when q(8) is divided by 88.
86
Calculate the remainder when 115/2*(-1 + 2 - -3) is divided by 2.
0
Suppose -45*f - 385 = -56*f. Calculate the remainder when f is divided by 5.
0
Let k(j) be the second derivative of -j**3/3 - 15*j**2/2 + j. Let m be k(-10). Suppose -z - 96 = -m*z. What is the remainder when 93 is divided by z?
21
Suppose 59 = 2*h - 4*n + n, 4*h - 3*n = 109. Suppose -21*u + 36 = -23*u. Calculate the remainder when u/(-99) + 1611/33 is divided by h.
24
Suppose 18*a + 3989 = 4133. Suppose 83 + 46 = 3*k. Let x = k + -29. Calculate the remainder when x is divided by a.
6
Suppose -155 = 5*w - 0*w. Let f = 35 + w. Calculate the remainder when 17 is divided by f.
1
Suppose -7*j + 49 = -3*j + 5*m, -3*m = -2*j - 3. What is the remainder when 19 is divided by j?
1
Let r(d) = d - 7. Let w be r(6). Let c(p) = 436*p**2. Let u be c(w). Calculate the remainder when 77 is divided by 8/44 + u/22.
17
Suppose 25*k = -t + 26*k + 304, 0 = k - 3. What is the remainder when t is divided by 77?
76
Let z(c) = -2*c**3 - 93*c**2 - 50*c - 129. What is the remainder when 934 is divided by z(-46)?
54
Suppose 3*a + 4 = 4*a. Let h(w) = 3*w. Calculate the remainder when (-33)/4*48/(-18) is divided by h(a).
10
What is the remainder when (5/(5 + 5))/((-1)/(-88)) is divided by 3?
2
Let n = 17 + -8. Let a(s) = -s**2 - s - 7. Let h be a(-7). Let v = -16 - h. Calculate the remainder when v is divided by n.
6
Suppose 0 = 3*p + 15, -b + 2*p - 190 = -3*b. Calculate the remainder when b is divided by 17.
15
Suppose -24 = -9*v + 5*v - 3*d, 0 = -4*v + 5*d + 24. Calculate the remainder when 676 is divided by v.
4
Let x = 3548 + -3543. Let f = -14 + 25. Calculate the remainder when f is divided by x.
1
Let w = -53 - -47. What is the remainder when 55 is divided by 3/(-18) - 169/w?
27
Let q(s) = s**3 + 15*s**2 + 23*s + 8. Let r be q(-10). Suppose -a + 408 + 148 = 4*v, -2*v + 4*a = -r. Calculate the remainder when v is divided by 35.
34
Let r = 20670 - 20582. Let d(h) = h**3 - h**2 + h + 23. Calculate the remainder when r is divided by d(0).
19
Suppose 4*m - 5 = 3. Let n = -137 - -139. What is the remainder when n is divided by m?
0
Let w(g) = 6*g**3 + g - 1. Suppose -5*q = -0*q - 5, -i = -q - 37. Let o = i - 22. What is the remainder when o is divided by w(1)?
4
Let p be 5 + -2*3/6. Suppose -p*t - 4*c + 6*c = 126, 4*c - 21 = t. Let u = -14 - t. Calculate the remainder when 74 is divided by u.
17
Suppose 2*g - 105 - 401 = -4*n, -3*n = 3*g - 381. What is the remainder when n is divided by 16?
14
Let v = -7 + 8. Let j = -136 + 199. What is the remainder when j is divided by 2 - (1 + v*-15)?
15
Suppose -l - 32 = -4*p + l, -5*l - 2 = 3*p. Suppose -30 = -p*w + 4*w. Let y(a) = 5*a**2 + 5*a - 1. What is the remainder when y(-4) is divided by w?
14
Suppose -6*y = -53*y + 2350. Calculate the remainder when 97 is divided by y.
47
Let o(z) = 3*z**2 + 9*z + 6. Let d be o(-6). Let b be d/16 - 1/(-4). Suppose -14 = b*s - 6*s. What is the remainder when 26 is divided by s?
5
Let q = -113 - -35. Let i = 170 - 40. Let k = i + q. What is the remainder when k is divided by 18?
16
Let n be (-5)/10*1*-74. Suppose n + 63 = 4*z. What is the remainder when 69 is divided by z?
19
Let s be (-2996)/21*(1 + -9 + 2). Suppose -s = -9*o + 5*o. What is the remainder when o is divided by 36?
34
Let v(x) = x**3 + 5*x**2 + 2*x - 2. Suppose 0 = g - 2, 34 = 4*p + g + 4*g. Let s(u) = -u**2 + 8*u + 4. Calculate the remainder when s(p) is divided by v(-4).
4
Let b(h) = -3*h - 17. Let x be b(-7). Suppose -k - 128 = -4*g, -x*g - 5*k = 51 - 179. Let y = 27 + -18. What is the remainder when g is divided by y?
5
Suppose 0 = -2*f - 2*f + 28. Let v be (-6)/4*436/(-6). Suppose -76 = -4*d - 4*s, 5*d + 2*s + 14 = v. What is the remainder when d is divided by f?
5
Suppose -15 = -3*k + 9. Let v = -8 + 12. Suppose -k*b + 88 = -v*b. What is the remainder when b is divided by 12?
10
Let o = 478 - 472. Calculate the remainder when 17 is divided by o.
5
Calculate the remainder when 42 is divided by (435/85 - -4) + 2/(-17).
6
Suppose 0 = 2*m - 5*i - 8, 21*m - 17*m = -2*i + 64. What is the remainder when 84 is divided by m?
0
Let u = 23 - -7. Calculate the remainder when -30*((-10)/u)/((-2)/(-4)) is divided by 10.
0
Suppose 45*l - 1348 = 407. What is the remainder when 137 is divided by l?
20
Let f = 15 - 10. Suppose -11 = 4*n - 27. What is the remainder when (-14)/n*(-9 + 7) is divided by f?
2
Let w be (-8)/(-76) + 1879/19. Suppose -w*f + 94*f + 110 = 0. What is the remainder when f is divided by 9?
4
Suppose -3 = -3*x - 36. Let v be -11 - x - -5*1. Suppose -39 = v*y - 94. What is the remainder when y is divided by 4?
3
Suppose 2*l - 107 + 99 = 0. Suppose 3*o - 42 + 9 = 0. Suppose -5*h + 2*v = -129, h + 5*v - l = o. Calculate the remainder when h is divided by 9.
7
Suppose 65 = 2*t + 11. Calculate the remainder when (t - 0/(-1))/(8/40) is divided by 34.
33
Let c(a) = a**2 - 34*a**3 - 26*a**3 - 36*a**3 + 15*a**3. Let s be c(-1). Suppose 27 - s = -5*z. What is the remainder when z is divided by 5?
1
Let s = 683 - 520. What is the remainder when s is divided by 38?
11
Suppose 0 = 5*z + 36 - 366. What is the remainder when z is divided by 30?
6
Let j = 31 + -26. Suppose -12 = -4*i, z - 4*i + 0 = j. Calculate the remainder when 33 is divided by z.
16
Let u(a) = -a - 2. Let q be u(-5). Suppose 4*x = -q*x + 1113. Calculate the remainder when x is divided by 32.
31
Let i(o) = 5*o**2 - 3*o + 7. Suppose 5*f = -3*t, -f + 0*t = 2*t. Suppose 0*w - 3*w + 9 = f. Calculate the remainder when i(w) is divided by 9.
7
Let z(d) = 2*d**2 + 12*d - 1. Calculate the remainder when 294 is divided by z(-10).
57
Suppose -4*j + 14 = -2*g, 4*j + 3*g - 29 = 2*g. Let x = 601 + -598. Calculate the remainder when j is divided by x.
0
Let l(f) = -2*f - 17. Let a be l(-7). Let b = a - -84. What is the remainder when b is divided by 21?
18
Suppose -2*q + 159 = q + 2*s, s + 106 = 2*q. Calculate the remainder when q is divided by ((-6)/9 + 4)*27/5.
17
Calculate the remainder when (814/3)/(76/114) is divided by 34.
33
Suppose -n + 3*c + 111 = 0, -n + 206 = n + 2*c. What is the remainder when n is divided by 55?
50
Let s(z) = z**2 + 3*z + 6. Let u be s(-18). Suppose i - u = -i. What is the remainder when i is divided by 35?
33
Suppose 6*u - 9 = 3*u. Let b be 3*(497/3 - u). What is the remainder when 69 is divided by 4/(-10) + b/20?
21
Suppose -5*n + g = -4*g - 275, 0 = -5*g - 15. What is the remainder when 258 is divided by n?
50
What is the remainder when 0*5/10 - (-127)/1 is divided by 10?
7
Let m be (-2 - (1 - 38))*2. Suppose 0*h = -2*h + m. Suppose 4*p - 25 = 23. What is the remainder when h is divide