he remainder when 51 is divided by v.
15
Let n = 46 + -13. Calculate the remainder when n is divided by 12.
9
Let w = 1626 - 1158. Calculate the remainder when w is divided by 96.
84
Let z = 843 + -839. Calculate the remainder when ((-33)/6)/(1/(-2)) is divided by z.
3
Let m be (-5 - -1)*5/(-4). Let c be m - (-1 + 0 + 4). Suppose 194 = -0*l + c*l. Calculate the remainder when l is divided by 25.
22
Let d(i) = -2*i**3 + 3*i - 2. Let g be d(1). Let z be (g/(-2))/(4/136). What is the remainder when 18 is divided by (12/4 - z)/(-2)?
4
Suppose 199 = -3*g + 2443. What is the remainder when g is divided by 94?
90
Suppose -4*x = 331 - 431. Calculate the remainder when 48 is divided by x.
23
Let c be (-77)/(-4) + 14/(-56). Suppose -12*k + c*k = 56. Calculate the remainder when 28 is divided by k.
4
Suppose 2*m + 4*p + 6 = 0, 5*m - 46 = 2*m + 5*p. Suppose h - m = 2. What is the remainder when 34 is divided by h?
7
Suppose w - 3 = 0, w + 4 = 5*u - w. What is the remainder when 20/(-5) - (-30 - u) is divided by 8?
4
Let p = 180 - 151. Calculate the remainder when p is divided by 11.
7
Let j(s) = -42*s - 44. Calculate the remainder when j(-9) is divided by 42.
40
Let i(o) = 2*o**3 - 32*o**2 + 3*o - 12. What is the remainder when 114 is divided by i(16)?
6
Let g(w) = 0*w**2 + 6 + w**2 - 3 - 10*w. Let n be g(12). Let p = 35 + n. What is the remainder when p is divided by 21?
20
Let x(w) = 15*w + 127. Calculate the remainder when x(-4) is divided by 9.
4
Suppose 0 = o + 4*k - 13, k = 2*o - k - 46. Let t(i) = 14*i**2 + 4. Let s be 4/(-2) + -1 + 5 + -4. What is the remainder when t(s) is divided by o?
18
What is the remainder when (1 + -87)*(-5)/5 is divided by (-2001)/(-92) + 2/8?
20
Suppose 4*a + 0*o + 5*o = 0, 0 = -4*a - o. Suppose a*k + k = -15. Calculate the remainder when 22 is divided by (-12)/k + 168/15.
10
Let u = 491 - 349. Suppose -2*z - 142 = -3*v, -5*v - 14*z = -10*z - 244. What is the remainder when u is divided by v?
46
Suppose 2*w + 0*n = n + 24, 5*w - 75 = -5*n. Suppose d - 5*d = -16. Let b(p) = p + 3. Calculate the remainder when w is divided by b(d).
6
Suppose -5*v - 6*j + j = -160, 2*v - 2*j = 52. What is the remainder when v is divided by 6880/680 - (-2)/(-17)?
9
Suppose -n + 2*v + 230 = 0, -2*n - 16*v + 19*v + 456 = 0. What is the remainder when n is divided by 105?
12
Suppose 3*q = -2*q - 10, 4*b = -4*q + 68. Calculate the remainder when 46 is divided by b.
8
Let a(l) = -2*l**2 + 2*l + 3. Let h be a(3). Suppose r = 15 + 4. Let o = h + r. What is the remainder when 27 is divided by o?
7
What is the remainder when (3 - (-66)/10)/((-10)/(-125)) is divided by 31?
27
Let z = -571 + 595. Calculate the remainder when 181 is divided by z.
13
Suppose 0 = 14*r - 13*r - 16. Calculate the remainder when 44 is divided by r.
12
Suppose 9*x - 15*x + 1302 = 0. Calculate the remainder when x is divided by 50.
17
Let u be 146/14 - 20/(-35). Let z = 1 + u. Calculate the remainder when z is divided by ((-6)/(-5))/(2/5).
0
Suppose 44 = 2*v - 2. Calculate the remainder when 158 is divided by v.
20
Suppose -18 = -2*h + 3*y, 0 = -2*y + 6*y. What is the remainder when 611 is divided by h?
8
Let o(f) = 3*f**3 - 18*f**2 + 10*f - 47. Calculate the remainder when o(6) is divided by 5.
3
Let m(n) = n + 12. Let s be m(-10). Suppose 2*b = -s*b - 252. Calculate the remainder when 25 is divided by 9/(-6) - b/6.
7
Let f = 1305 + -1294. What is the remainder when 174 is divided by f?
9
Let i(g) = 7*g**2 - g. Suppose -25*r = -30*r + 255. Suppose 0 = -k - 4*a + r, 3*k = -k - 5*a + 149. Calculate the remainder when k is divided by i(-1).
7
Let r(m) = -2*m**2 + 69*m + 36. What is the remainder when 16 is divided by r(35)?
0
Suppose 5*u + 3*o = 59 + 573, 2*o = 5*u - 612. Suppose 5*q - 210 = -5*q. Calculate the remainder when u is divided by q.
19
Let z(n) = -n**3 + 15*n**2 + 20*n - 31. Suppose 0*h + 80 = 5*h. What is the remainder when 130 is divided by z(h)?
31
Suppose 43*d - 11553 - 9646 = 0. Calculate the remainder when d is divided by 33.
31
Suppose -s = -2*s + 2*k + 152, 0 = 3*k + 6. Suppose 101*y + s = 105*y. Calculate the remainder when y is divided by 25.
12
Suppose 59 + 16 = 3*y. What is the remainder when 70 is divided by y?
20
Let j = -70 - -72. Let n(d) = 6*d**3 - 2*d**2 + 2. What is the remainder when n(j) is divided by 12?
6
Suppose -d + 2*f = d + 4, 0 = -3*d + f. What is the remainder when ((-33)/(-2))/((-2)/(-4)) is divided by (-10 + (2 - d))*-1?
6
Suppose 9*t + 18*t = 243. Calculate the remainder when (-134)/(-3) + 6/(-9) is divided by t.
8
Let w(m) = 5*m**2 + 5. Let s be w(5). Suppose -5*t = -2*j + 3*j - 194, 4*j - s = -3*t. Let a = 7 + t. What is the remainder when a is divided by 16?
13
Suppose 14*v - 968 = -2*q + 12*v, 0 = 2*v + 2. Calculate the remainder when q is divided by 2.
1
Suppose -5*g + 258 = -192. Suppose -6*p - p + 105 = 0. Suppose -g = -5*z - p. Calculate the remainder when 44 is divided by z.
14
Suppose 0 = -h - 5*s - 23, -3*s - 19 = h - 6. Suppose -h*f = -2*j + 18, f = -j - 3*j - 4. Let x = f + 21. What is the remainder when 24 is divided by x?
11
Suppose 336 = -31*r + 1421. What is the remainder when 58 is divided by r?
23
Suppose 15*i - 8474 = -4*i. What is the remainder when i is divided by 64?
62
Let k(f) = f**2 + 1. Suppose 5*u + 15 = 0, -4*j - 5*u = -0*j + 23. Let o(q) = -q + 8. What is the remainder when k(4) is divided by o(j)?
7
Let u(f) = -f + 5. Let g be u(0). Suppose 3*k - 3*o - 162 = 0, -g*k = -3*o - o - 274. Calculate the remainder when k is divided by 15 - ((-10)/2 - -5).
13
Let q(g) = g**3 - 5*g**2 + g - 2. Let j be q(5). Let d = -10 - -10. Suppose -36 = -j*k - d. Calculate the remainder when 59 is divided by k.
11
Let c(w) = -10*w + 9. Let d be c(-7). Let y = -43 + d. What is the remainder when y is divided by 8?
4
Let m = 833 + -803. Calculate the remainder when 117 is divided by m.
27
Let d(v) be the third derivative of -v**4/12 + 5*v**3/6 + 7*v**2. What is the remainder when d(-9) is divided by 14?
9
Suppose w = -w + 11590. Suppose -3*o - 3463 = 3*x + x, 5*o + 2*x = -w. Calculate the remainder when o/(-33) - (-4)/(-22) is divided by 13.
9
Suppose 0 = 9*s - 7*s + 10. Let a be 0/((-4)/10*s). Suppose -u + 10 = -a. Calculate the remainder when u is divided by 6.
4
Suppose -2*b + k + 45 = 0, 3*b - 2*b + 5*k = 28. Let g(x) be the first derivative of -3*x**2/2 - 6*x - 3. What is the remainder when b is divided by g(-4)?
5
Let u(m) = -47*m - 738. Calculate the remainder when (138/(-8))/((-2)/8) is divided by u(-16).
13
Let h = -1145 + 1174. What is the remainder when 74 is divided by h?
16
Let v be (10/(-2))/(-4 - -3). Suppose -3*i - 6 = -v*i. What is the remainder when (12/1)/((-3)/(-2)) is divided by i?
2
Let r = 141 + -77. Suppose 21*f = 25*f - r. Calculate the remainder when 185/3 - (-1)/3 is divided by f.
14
Suppose 4*m = -5*w + 22, 4*m = 5*w - 0*m + 2. Suppose -5*g - 235 = 705. What is the remainder when 18 is divided by w/(-9) + g/(-36)?
3
Suppose 7*j = 9*j - 24. Calculate the remainder when 2/(-4) - (-258)/j is divided by 8.
5
Suppose 0 = 10*c - 672 - 148. Calculate the remainder when c is divided by 12.
10
Let c(q) = q + 2 - 6*q + 4*q - 1. Let z = -15 - -38. Calculate the remainder when z is divided by c(-7).
7
Calculate the remainder when (-238)/(-10) + (-2)/(-10) is divided by 2*99/(-22)*-1.
6
Suppose q + 13*y - 21*y = -29, -y + 49 = 4*q. Calculate the remainder when (93/2)/(3/4) is divided by q.
7
Suppose 496 = -70*t + 101*t. What is the remainder when 48 is divided by t?
0
Suppose 8*x - 168 - 56 = 0. Calculate the remainder when 35 is divided by x.
7
Let f = 90 - 67. Calculate the remainder when 69 is divided by f.
0
Suppose 0 = 2*v - 5*v. Suppose v*j + j = 3. Suppose -j*q + 43 = -38. What is the remainder when 53 is divided by q?
26
Let b(w) = w**3 + 3*w**2 - 4*w. Let i be b(2). Let r = 27 - i. What is the remainder when 59 is divided by r?
14
Suppose 5*j - 4*a - 72 = 0, -4*j - 4*a = -10 - 26. Suppose 100 = 5*r - q, -2*q - 2*q = -20. Calculate the remainder when r is divided by j.
9
Suppose -s + 100 = -0*h + 4*h, -4*s + 4*h = -340. Calculate the remainder when s is divided by 13.
10
Let l(x) = 2*x**2 + 5*x - 3. What is the remainder when 71 is divided by l(2)?
11
Let u = -136 - -144. Suppose -u*x - x = -603. Calcu