- 1. Let t(z) = -z**2 + 2. Let x(y) = -6*s(y) + t(y). Let q be x(7). Let b(f) = -74 + 74 + 7*f. What is b(q)?
7
Let j(b) be the first derivative of -3*b**5/40 + b**4/24 - b**3/3 - 4. Let p(o) be the third derivative of j(o). Suppose -4*f + 2 - 6 = 0. Determine p(f).
10
Let v(r) be the second derivative of r**5/30 + r**4/24 - r**3/3 + r**2 + 15*r. Let k(o) be the first derivative of v(o). Give k(2).
8
Let l(k) = -6*k + 1. Suppose 0 = q - i + 2, -3*q + i = -i + 9. Let p be -1 - (27/(-15) - (-1)/q). Give l(p).
-5
Let o(q) = -3*q - 77. Let p be o(-27). Let u(i) be the second derivative of -4*i - 1/2*i**2 + 0 - 1/3*i**3 + 1/20*i**5 - 1/12*i**p. What is u(2)?
-1
Let c(w) = w**2 + 2. Let t(u) = u**2 + 5*u + 7. Let n(r) = 2*c(r) - t(r). Determine n(3).
-9
Let b(o) = o**3 - 13*o**2 + 2*o - 10. Let r be b(13). Let t(w) = -r - 4*w**2 - w**3 + 16 + 5*w. What is t(-5)?
0
Let z(y) = 13*y**2 + 2*y - 1. Let p be (-10)/45 - 154/(-126). Give z(p).
14
Let r(z) = -z**3 - 6*z**2 + 6*z + 10. Let k be 35/21 + (-26)/3. What is r(k)?
17
Let u(g) be the first derivative of -g**4/4 - 3*g**3 - g**2/2 + 9*g - 66. Give u(-9).
18
Let q(a) = 2*a - 17. Let y(t) = t - 11. Suppose 2*h + 4*h + 48 = 0. Let r(j) = h*y(j) + 5*q(j). Suppose -k - 2*p + 6 = -6*k, -18 = 5*k + 4*p. What is r(k)?
-1
Let w(r) = 19 - 10*r + 9*r - 19. Suppose -3*t = -15, 6*f = f + 3*t - 50. What is w(f)?
7
Let l(s) = 4*s**3 - 3*s**2 - 5*s. Let k(h) = -7*h**3 + 6*h**2 + 10*h + 1. Let a(t) = -3*k(t) - 5*l(t). Let u = -43 - -47. What is a(u)?
-7
Let r = -4 - -2. Let f(i) = -i**3 + i**2 + 2*i - 4. Let q(k) = 1. Let z = -83 - -77. Let w(h) = z*q(h) - f(h). Calculate w(r).
-10
Let h = 558 - 558. Let c(d) = -4*d**2 - 4*d - 5. Let l(f) = f**2 + f + 1. Let s(x) = -c(x) - 5*l(x). What is s(h)?
0
Let x(q) be the third derivative of -q**5/60 + q**4/3 - q**3 + 5*q**2 - 4. Give x(7).
1
Suppose 155*r - 65 = 142*r. Let o(d) = -8*d - 1. Determine o(r).
-41
Let b(w) = -2*w - 1. Let q = -10 + 19. Suppose 2*i - 3*s = -q, 0*s - s = i + 17. Let j be 21/i - 6/24. Calculate b(j).
3
Let h(b) be the third derivative of b**9/60480 - b**8/3360 + b**7/1008 - 4*b**5/5 - b**2 + 8*b. Let u(v) be the third derivative of h(v). What is u(5)?
0
Let v(i) = 5*i**2 - 11*i - 2. Let c(x) = -16*x**2 + 35*x + 6. Let h(m) = 4*c(m) + 13*v(m). What is h(6)?
16
Let l(a) = 11*a - 25*a**2 - 7 + 2*a**2 + 24*a**2. Determine l(-13).
19
Suppose -5*g - 5*f - 6 - 14 = 0, 8 = 4*f. Let s(z) = -z**3 + 2. Let j(i) = 2*i**3 - i**2 - 3. Let y(k) = 6*j(k) + 13*s(k). Give y(g).
8
Let f(w) = -18 + 21 + 19 - 16*w + 18*w. What is f(-9)?
4
Let f(w) be the third derivative of w**4/24 - w**3 + 6*w**2. Let a(p) = -4*p + 2. Let u be a(8). Let x be (-5)/u - (-41)/6. Determine f(x).
1
Let m = 9 + -8. Let u(i) = m + 7 - 1 + 3*i - 2*i. What is u(-5)?
2
Let m(n) = n**3 - 10*n**2 + 9*n + 2. Suppose 0 = -2*w + 11 + 7. Let i be m(w). Suppose 0 = 2*b + i. Let j(s) = 6*s**3 + s**2 - s - 1. What is j(b)?
-5
Let t(z) = z**2 + 7*z + 8. Suppose 4*i - 37 = 5*y, -4*i - 3*y - 4 = -1. Suppose -2*b - 18 = -0*b - i*u, -4*u + 26 = -3*b. Calculate t(b).
2
Let m be 143/(-55) + (-3)/(-5). Let u(g) = -3*g - 523 + 523. Determine u(m).
6
Let k(s) be the first derivative of s**5/60 - s**4/4 - 4*s**3/3 + 13*s**2/2 - 21. Let x(h) be the second derivative of k(h). Calculate x(7).
-1
Let h(z) be the second derivative of -z**5/20 + z**4/4 - z**3/3 + z**2 + z. Let c(v) = -5*v + 12. Let l be c(2). Determine h(l).
2
Let q(g) be the first derivative of 2*g**4 + 2*g**3/3 + g**2 + g - 2. Let p(f) = -f**3 - 8*f**2 - 8*f - 2. Let k be p(-7). Suppose -k = u - 4. Calculate q(u).
-7
Let g(y) = y - 4. Let h = 0 - -2. Let a be 6 + 1/(-3)*3. Suppose -4*w + 3*k = -35, a*w = -4*k + h*k + 15. Determine g(w).
1
Let f(g) be the third derivative of -g**4/12 + 35*g**3/6 + 393*g**2. Calculate f(17).
1
Suppose 5*l - 159 + 19 = 0. Suppose -l + 8 = -4*y - 4*u, -4 = -u. Let c(h) = 34*h + y - 77*h + 27*h. What is c(1)?
-15
Let c(f) = f**3 + 5*f**2 + 4*f + 2. Suppose -6*y + 8 = -4. Suppose 4*v = -2*q + 16, -16 = -2*q + 3*v - y*v. Suppose -8*s = -4*s + q. Calculate c(s).
6
Let c be ((-65)/30)/(1/(-6)). Let j(w) = -c - 3*w - 5 + 2*w. What is j(0)?
-18
Suppose b + 11 = 13. Let d(f) = -2 + f**2 + b*f - f - 2*f + 2*f. Calculate d(3).
10
Let f(g) = g**2 + 6*g - 4. Let a(d) = -2*d**2 - 9 + 8*d + 2*d + 3*d + 5*d**2. Let b(p) = -2*a(p) + 5*f(p). Let l = 31 + -25. What is b(l)?
-14
Suppose -14*w + 35 = -7*w. Let q(p) = 2*p - p - 1 - 2. Calculate q(w).
2
Let u(n) = n**3 + 7*n**2 + 6*n - 5. Suppose 0 = 4*l + 4*q + 36, -2*l = 5*q - 2*q + 22. Give u(l).
15
Let j(r) = r - 1. Suppose 0*v - 2*v = 5*h - 16, h = 3*v + 10. Let n(u) = -u - 3. Let f(p) = h*j(p) - n(p). Let z be 12*((-25)/(-10) + -3) + 7. Calculate f(z).
4
Let v(g) be the first derivative of 37*g**3/3 + 5*g**2/2 - 2*g - 18. Let f(l) = 18*l**2 + 3*l - 1. Let u(t) = 5*f(t) - 3*v(t). Give u(1).
-20
Let w(o) = -o + 13. Suppose -2*x = -7*x - 10. Let f(p) = 3. Let l(v) = x*w(v) + 9*f(v). What is l(2)?
5
Let w(c) = -c**3 + 4*c**2 - 3. Let m = 153 + -146. Suppose -5*r + 8 + m = 0. Give w(r).
6
Let w(g) = -g - 6. Let z = 15 + -14. Let q = -31 + z. Let t be (-24)/(-180) + 274/q. Determine w(t).
3
Let x(l) be the second derivative of l**2/2 - 11*l. Let o(k) = k**2 - 4*k - 9. Let t(s) = o(s) + 2*x(s). Calculate t(5).
-2
Let d(z) = -7*z**2 + 8*z - 12. Let g(a) be the third derivative of 2*a**5/15 - a**4/3 + 13*a**3/6 + a**2. Let p(v) = -7*d(v) - 6*g(v). Calculate p(6).
-6
Let b(q) = -2*q - 35. Let l = -1780 + 1780. Give b(l).
-35
Let d(w) be the first derivative of 3 + 1/3*w**3 + 5*w - 5/2*w**2. Let n be 2*((-9)/(-6))/(12/20). Determine d(n).
5
Let g(r) = -5*r - 25. Let q be g(-4). Let s(u) be the third derivative of -1/24*u**4 + u**2 + 0*u**3 + 0 + 0*u. Give s(q).
5
Let y(w) be the first derivative of w**4/4 + 10*w**3/3 + 6*w**2 + 8*w - 151. What is y(-8)?
40
Let s(a) be the first derivative of -5*a**2/2 + a + 2953. Suppose -3 - 1 = -4*c. Calculate s(c).
-4
Let l(d) be the second derivative of -d**3/3 + 3*d**2/2 - 43*d + 1. Let b be 1*4 - (-2 + 3). Determine l(b).
-3
Let o(b) = -b**3 - 8*b**2 + 3*b + 4. Let f be 2 - ((2 - -9) + (-34 - -33)). Calculate o(f).
-20
Let u(c) = c - 1. Suppose 2 = 6*y - 10. Suppose -y*g + 0*g = -4. Suppose 4*n - 4 = -g*r, 4*r + 5*n - 14 = 6*r. What is u(r)?
-3
Let c(y) be the second derivative of -y**3 - y**2/2 + 222*y - 3. Suppose -5*w - 6 = -b, 2*b + 0*w + 3 = -5*w. What is c(b)?
-7
Let g(m) be the second derivative of m**5/20 + 7*m**4/12 - 11*m**3/6 - 7*m**2/2 + 184*m. Calculate g(-8).
17
Suppose 10*c - 8*c = 0. Suppose 3*s + 0*s = c. Suppose 0 = -p - 1 - s. Let y(l) = l + 1. Determine y(p).
0
Let k(c) = -c**2 + 5*c + 3. Let f = -349 + 354. Determine k(f).
3
Let s(g) = 19 + 148*g**2 + 24*g - g**3 - 22*g - 163*g**2. Give s(-15).
-11
Let z(p) = 7*p**3 + 3 - 664*p**2 + 674*p**2 - 6*p**3 + 7*p + 2. Give z(-9).
23
Let b(j) = -3*j**3 + 7*j**2 - 10*j - 7. Let y(f) = 2*f**3 - f**2 + f. Let a(g) = -b(g) - 2*y(g). What is a(-5)?
-33
Let n be (-3)/8 + 53/(-8). Let f(z) = -1 - 5 - z + 0*z + 0. Calculate f(n).
1
Let d(b) = -b + 1. Let h(s) = s**2 + 2*s - 4. Let p(o) = 4*d(o) + h(o). Let c(t) = -t**3 + 4. Let u be c(0). What is p(u)?
8
Let j = -1 - -3. Let x be 2/15 - (-354)/45. Suppose -j*y = x - 0. Let q(f) = 4*f + 6. Give q(y).
-10
Let h(k) be the third derivative of k**7/2520 + 7*k**6/720 - k**5/20 + k**4/6 + 12*k**2. Let y(u) be the second derivative of h(u). Calculate y(-8).
2
Let r(j) be the second derivative of -j**8/6720 - j**7/360 - j**6/80 - j**5/24 - j**4/2 - 3*j**2/2 - 10*j. Let m(n) be the third derivative of r(n). Give m(-6).
13
Let b(j) be the first derivative of -5/2*j**2 + 1/3*j**3 - 7 - 3*j. Determine b(4).
-7
Let a(p) = 4*p**2 - p**3 + 8*p**2 + 5*p + 8*p**2 - 3 - 31*p**2 + 7*p**2. Give a(-5).
-3
Let u(b) = -16*b + 19. Let m(j) = 5*j - 6. Let a(c) = -7*m(c) - 2*u(c). Calculate a(3).
-5
Let m(j) = 3 + 2*j - 2 - j + 6. Let l(o) = o**2 + 13*o + 40. Let b be l(-5). Calculate m(b).
7
Let u(x) = 0 + 2 - 8 - 3*x. Let c be (3/(-1))/(18/156). Let h = 22 + c. Give u(h).
6
Let a = -11 + 13. Let j(f) = -5 - 2*f**3 - 5*f**a + f**3 + 2*f**2 + 0 + f. Give j(-4).
7
Suppose -2*i = 4*z - 24, 2*i - 3*z + 3 = 6. Let s(v) = 21 + v - i - 7. Let t be (-88)/14 - (-4)/14. Determine s(t).
2