culate the remainder when w is divided by 21.
6
Let o(r) be the first derivative of r**4/4 + r**3/3 + 97*r + 1. Suppose -2632 = -57*h + 207*h - 7582. Calculate the remainder when o(0) is divided by h.
31
Suppose 112 = 5*p - a, -193*a + 189*a - 34 = -2*p. What is the remainder when 524 is divided by p?
18
Let x(t) = 17*t - 39*t + 16*t + 13*t - 64. Suppose -9 = l - 3*l - 3*n, 4*n = 2*l - 44. What is the remainder when l is divided by x(10)?
0
Let v = 4 - 2. Suppose -5*x + 7*l = 3*l, 0 = -3*x - v*l + 22. What is the remainder when 17 is divided by 6*2/x*3?
8
Suppose 474*h + 246543 = 815*h. Calculate the remainder when h is divided by 146.
139
Suppose -z - 2*z + 3 = u, 3*z - 21 = u. Let o(p) = p**2 + p - 29. What is the remainder when 448/(-8)*(-9)/4 is divided by o(u)?
40
Suppose 0 = -5*a + 10, -a + 100 = 5*p - 112. Calculate the remainder when 82 is divided by p.
40
Suppose 3*i = i + p + 11, -16 = -i + 4*p. Suppose -i*y + 252 = 3*y. What is the remainder when 139 is divided by y?
31
Let a be 17/(-5*(-3)/15). Let r(w) = a + 10*w + 14 - 9 - 5*w**2 + 6*w**2. Calculate the remainder when r(-9) is divided by 12.
1
Let j = 4812 - 4668. What is the remainder when 355 is divided by j?
67
Suppose 306 + 874 = 10*r. Let v = 210 - r. Calculate the remainder when v is divided by 19.
16
Calculate the remainder when (-8542)/(-3) - (-27)/(567/35) is divided by 143.
132
Suppose -635 = 9*d - 1213 - 4570. Calculate the remainder when d is divided by 70.
12
Suppose 2239 = 5*s - 4*b, -4*s + 2981 = 3*b + 1165. Suppose -1 = -m, -4*a + m = -4*m - s. What is the remainder when a is divided by 39?
36
Let x(l) = -l**2 + 44*l + 3637. Let p(v) = -v + 144. Calculate the remainder when p(0) is divided by x(-42).
19
Let s = 23476 - 23444. What is the remainder when 224 is divided by s?
0
Let h(u) = 21*u**2 + 129*u - 399. Calculate the remainder when h(3) is divided by 8.
1
Suppose -59*y = -2177 - 891. Suppose -c = -2*u + c + 404, -3*c - 3 = 0. Calculate the remainder when u is divided by y.
45
Suppose 70 = 6*h - 104. Let p = h + -25. Suppose 3*u - p*u + 29 = 0. Calculate the remainder when 113 is divided by u.
26
Suppose -49*p + 2*y - 231 = -54*p, -p + 57 = 4*y. Calculate the remainder when 179 is divided by p.
44
Let d be -2 - ((-7 - 0) + -2). Let w(t) = 63*t**2 - t + 2. Let g be w(2). Suppose g = d*a - 0*a. What is the remainder when a is divided by 19?
17
Let y(x) = -x**2 + 7*x - 5. Let w be y(5). Suppose -3*r - 4*q + 3 = -3, -w*q = 4*r - 9. What is the remainder when 11 is divided by r?
5
Calculate the remainder when 61 - -1 - (-14 + 0) is divided by 25.
1
Let m(z) = 184*z - 518. Calculate the remainder when m(6) is divided by 68.
42
Suppose 0 = -f - 2*y + 47, 2*y = -0*f - 5*f + 243. Suppose -f - 426 = -5*h. Calculate the remainder when h is divided by (-4)/(-10) - (-2187)/45.
46
Let k(b) = b**2 + 413*b - 1229. Calculate the remainder when 3318 is divided by k(3).
12
Let k(p) = 2*p**2 + 12*p - 12. Let i be k(-5). Let c = 145 + i. Let y = 282 - 261. Calculate the remainder when c is divided by y.
18
Let t = 5760 + -5373. What is the remainder when t is divided by 39?
36
Suppose 16*h - 23*h - 35 = 0. Calculate the remainder when 1*-3 + 175 + h is divided by (-28)/(-7 - 5/(-1)).
13
Let m(c) = 3*c**2 + c**3 - 11 + 6 + 3*c + 6. What is the remainder when m(3) is divided by 26?
12
Suppose 4*f = 5*j + 18, f + 8 - 2 = -4*j. What is the remainder when 397 is divided by (-1 - j)*(19 - -61)?
77
Calculate the remainder when (-3 - -2) + ((-486)/(-24))/(9/168) is divided by 28.
13
Let p = -246 + 265. Let s be (2/2)/(118/39 - 3). Let x = s + p. What is the remainder when x is divided by 12?
10
Suppose -2*w - 4 = -12. Suppose w*p + 55 = x, 4*x - 3*x - 3*p - 50 = 0. Calculate the remainder when x is divided by 3.
2
Suppose 3*r = -5*d + 245, -12*d + 7*d - 395 = -5*r. Calculate the remainder when 5437 is divided by r.
77
Let s(z) = 2*z**2 - 40*z + 4. Suppose 6*m + 21 = 7*m. Calculate the remainder when 180 is divided by s(m).
42
Let k(r) = 14*r + 31*r - 21*r - r**2 - 81. What is the remainder when 221 is divided by k(5)?
11
Suppose 2*t + 862 = -5*n + 4070, -2*t = n - 640. What is the remainder when 265 is divided by n/34 + 0 + 34/289?
18
Let d(z) = -4*z - 17. Let i be (1 + 2)/(((-14)/(-21))/(-2)). What is the remainder when 56 is divided by d(i)?
18
Let p be 3 + -7 - 5/(-1). Let j = p + 2. Suppose 6 = -h + j*h. What is the remainder when 4 is divided by h?
1
Let n = 36659 - 36645. Let s(a) = a**2 - a + 2. Let p be s(0). What is the remainder when (-3)/(p*(-1)/54) is divided by n?
11
Let j be (-1)/6*-2*0. Suppose j = -3*q + 392 + 853. Suppose -83 = -3*g + 2*i + 151, 0 = 5*g + 5*i - q. What is the remainder when g is divided by 27?
26
Suppose -4*b + 13 = -175. Let y = b + -20. Suppose -3*v + 160 = -239. Calculate the remainder when v is divided by y.
25
Suppose -701 = -3*o + 4*y, 0 = -2*o + 5*y - 68 + 547. Calculate the remainder when o is divided by 5.
2
Let s(z) = 46*z**3 - 492*z**2 + 5*z + 26. What is the remainder when s(11) is divided by 886?
3
Suppose 98 = s + 2*i, 12*i - 7*i = -2*s + 193. Suppose 5*f - s = -d, -2*f = -2*d - 53 + 9. Calculate the remainder when f is divided by 14.
7
Let s = -22 - 24. Let f = s - -64. Suppose -101*o + 562 = -157*o + 3418. What is the remainder when o is divided by f?
15
Let l(z) = -53*z**3 + z + 2. Let x be l(-1). Suppose 68*p = x*p + 938. What is the remainder when p is divided by 14?
11
Let w(z) = -z**3 + 15*z**2 + 2*z - 26. Let o be w(15). Let y(a) = 0*a**2 + 0 - a**2 + 13 + 6*a - 6. Calculate the remainder when y(o) is divided by 4.
3
What is the remainder when 341 is divided by -378*(-3 + 0 + 645/105 + -4)?
17
Suppose -39 = -5*r + 36. Let d be (-4)/10*(-100)/(-16)*-2. What is the remainder when (80/15*9 - d)*1 is divided by r?
13
Let c = -111 - -138. Suppose -110 = 25*x - c*x. What is the remainder when x is divided by 43?
12
Let w = 357 - 459. Let q = w + 162. What is the remainder when q is divided by 22?
16
Suppose 8*c = -5*c + 208. Suppose 2*u - 4*u = -26. Calculate the remainder when 1 + c/(3 - 2) is divided by u.
4
Let h = -177 + 212. What is the remainder when h + 56/(-15 + 7) is divided by 6?
4
Let o = -1398 - -1585. What is the remainder when o is divided by 69?
49
Let j(g) = 18*g**2 + g + 37. Suppose -2*v + 16 = -5*v + k, v + 5*k = 0. What is the remainder when j(v) is divided by 69?
68
Let k(t) = 2*t + 16. Let o be k(-2). Suppose -17*j + 46 - o = 0. Suppose -7*m + 70 = -2*m. Calculate the remainder when m is divided by j.
0
Suppose -13*l + 8057 = 4131. Calculate the remainder when l is divided by 16.
14
Let g be (-6)/(-3) + 2 - (14 + -34). Suppose 0 = -g*c + 407 + 145. Calculate the remainder when 53 is divided by c.
7
What is the remainder when 682 is divided by (((-20)/14)/(-5))/((-40)/70)*-264?
22
Suppose 27*n + 510 = 37*n. Suppose -q + n = 2*b, 3*b - 8*b + 145 = -q. Calculate the remainder when 139 is divided by b.
27
What is the remainder when (8/(-12))/(10/(-9570)) is divided by 211?
5
What is the remainder when (-244)/(-1 - -3)*-1 is divided by 10/6*((-23142)/(-95))/29?
10
Let y(p) = p + 8. Let v(u) = u**2 + 5*u - 7. Let l be v(-7). Let q = 1775 + -1733. What is the remainder when q is divided by y(l)?
12
Let d(r) = -50*r**3 - 2*r**2 + 1. Let o be d(-1). Let p = o - 35. Suppose 10 + p = 4*z. What is the remainder when 15 is divided by z?
3
Suppose 5*u - 4*i = 110, -352*u + 355*u = i + 59. What is the remainder when 196 is divided by u?
16
Let q = -635 + 637. Suppose -f - q*d + 230 = 3*d, -2*d = f - 242. Calculate the remainder when f is divided by 9.
7
Suppose -2677 = -y - 3*l, 0 = -6*l + 11*l + 15. Calculate the remainder when y is divided by 12.
10
Let n = -2191 - -2444. What is the remainder when n is divided by 35?
8
Suppose b + 3*d = 861, -5*d + 1411 = 2*b - 307. What is the remainder when b is divided by 120?
9
Let j = -36 + 139. What is the remainder when 654 is divided by j?
36
Let k = -641 + 806. What is the remainder when k is divided by 36?
21
Let z(v) = -43*v**3 + 1. Let g be z(1). Suppose 46*l = 34*l + 660. Let n = l + g. Calculate the remainder when 51 is divided by n.
12
Let q(b) = b**2 - 28*b + 68. Let s be q(25). What is the remainder when 91 is divided by (-2 - 20/s)/(88/3696)?
19
Suppose 2*t - 11 - 29 = 0. Su