h - 1. Let f(n) be the second derivative of -n**4/12 - n**2/2 + 33*n. Give 2*f(j) - r(j).
-2*j**2 - 2*j - 1
Let t(a) = -3*a**2 + a. Let v(p) = 4*p**2 - p + 1. Determine 3*t(k) + 2*v(k).
-k**2 + k + 2
Let p(s) be the second derivative of -s**2/2 - s. Let o(r) = 3*r**2 + 6. Give -o(q) - 6*p(q).
-3*q**2
Let d(l) = l**2 - 1. Let g(k) = 31*k**2 + k - 6. What is -6*d(w) + g(w)?
25*w**2 + w
Let y be (21/(-14))/((-9)/12). Let x(f) = 21*f**3 - 9*f**2 + 9*f + 9. Let c(u) = -5*u**3 + 2*u**2 - 2*u - 2. What is y*x(s) + 9*c(s)?
-3*s**3
Let k(q) = q - 2. Let w(v) = 2*v - 1. Let n be w(10). Let a(x) = -n + 6 + 4 + 2*x + 6. Calculate 4*a(u) - 7*k(u).
u + 2
Let k(u) = 3*u**3 - 8*u**2 + 21*u. Let x(h) = h**3 - 2*h**2 + 5*h. Determine -2*k(y) + 9*x(y).
3*y**3 - 2*y**2 + 3*y
Let q be (18/12)/(15/20). Let i(p) = p. Let v(a) = -a**2 + 11*a. Determine q*v(r) - 22*i(r).
-2*r**2
Let w(z) = 5*z - 4. Let i(y) = 26*y - 20. Give -2*i(s) + 11*w(s).
3*s - 4
Let z(f) = -f + 5 - 15 + 8 - f. Let v(q) = 2*q + 2. Calculate 2*v(i) + 3*z(i).
-2*i - 2
Let g(b) = 13*b**2 + 5*b. Suppose -3*q - 55 = 8*q. Let c(y) = 20*y**2 + 8*y. Determine q*c(v) + 8*g(v).
4*v**2
Let b(x) be the first derivative of x**4 + x**3 - 7*x**2/2 + 19. Let t(s) = -3*s**3 - 2*s**2 + 5*s. Determine -5*b(u) - 7*t(u).
u**3 - u**2
Suppose -72 = -5*f + 8. Let y(t) = 22*t**3 - 16*t**2 - 16*t. Let c(i) = -7*i**3 + 5*i**2 + 5*i. Give f*c(o) + 5*y(o).
-2*o**3
Let j(z) = z - 1. Let y(b) = -40*b + 44. Calculate -88*j(c) - 2*y(c).
-8*c
Suppose 0 = -4*z - 2*d + 36, 4*z - d - 4*d - 8 = 0. Let o(r) = 11*r - 1. Let j(i) = 6*i - 1. What is z*j(w) - 4*o(w)?
-2*w - 3
Suppose -4 = -2*a, u + 4*a - 3*a - 8 = 0. Let v(i) = -7*i**3 - 2*i + 2. Let g(n) = 13*n**3 + 4*n - 4. Give u*g(s) + 11*v(s).
s**3 + 2*s - 2
Let d(l) = l**2 - 1. Let a(y) = -3*y**3 - 7*y**2 + 4*y + 1. Let t(p) = a(p) + 3*d(p). Let m(j) = j**3 + j**2 - j. Determine 4*m(z) + t(z).
z**3 - 2
Let t(m) = 2*m**2. Let w be (-1)/(3/6*-1). Suppose -a + 4*u - 16 = -w*a, 5*a - 2*u = 14. Let d(g) = -g**2 + a*g - g - 3*g. What is -3*d(q) - 2*t(q)?
-q**2
Let u(x) = -9*x**3 - 7*x**2. Let o(k) be the first derivative of -5*k**4/4 - 4*k**3/3 - 2. What is -7*o(p) + 4*u(p)?
-p**3
Let q(t) = 17*t - 5. Let j(l) = -33*l + 9. Give -6*j(r) - 11*q(r).
11*r + 1
Let v(j) = -3*j**2 + 7*j + 3. Suppose 5 = -2*a - 5. Let c(p) = -5*p**2 + 11*p + 5. Suppose -26 = -5*r + 14. What is a*c(n) + r*v(n)?
n**2 + n - 1
Suppose 2 = -2*g, -5 = 3*w - 2*g - 19. Let x(j) = 3*j + 2. Suppose 4*y + 0*y = 20. Let p(f) = -4*f - 3. Calculate w*p(b) + y*x(b).
-b - 2
Let m(h) = 8*h**2 - 5*h. Let t(c) = -c**2 + c. Give -4*m(w) - 20*t(w).
-12*w**2
Let v(j) = 7*j + 5. Suppose 2*t - 40 = 5*y + 5*t, 4*y - 2*t + 10 = 0. Let g(a) be the second derivative of -a**3/6 - a**2/2 + 20*a. Calculate y*g(c) - v(c).
-2*c
Let n(a) = 40*a**2 + 4. Let k(b) = 1. Give -4*k(x) + n(x).
40*x**2
Let x(p) = -8 - 22*p**2 + 30 + 0. Let g(m) = -6*m**2 + 6. Let a(j) = -3*j**2 + 3. Let u(b) = 15*a(b) - 6*g(b). What is 12*u(q) - 5*x(q)?
2*q**2 - 2
Let o(g) be the third derivative of -g**6/6 - 7*g**5/30 - 7*g**4/12 - 7*g**2. Let k(x) = 4*x**3 + 3*x**2 + 3*x. Calculate -14*k(w) - 3*o(w).
4*w**3
Let q(p) = -6*p**2 - 5*p. Let s(t) = 6*t + 2*t + 3*t**2 + 2*t**2 - 4*t. Suppose -2*i = -4*m, -m + 14 = 5*i - 4*m. Let f = -8 + i. Determine f*q(r) - 5*s(r).
-r**2
Let r(q) = -q**3 + 4*q**2 + 5*q - 4. Let m(w) = w**2 + w - 1. What is 4*m(b) - r(b)?
b**3 - b
Let f(y) = -26*y. Let t(a) = 5*a. Let j be (-132)/(-55)*(-20)/(-3). Calculate j*t(k) + 3*f(k).
2*k
Let p(s) = 2*s**2 + 3*s - 3. Let m(r) = 11*r + 7*r**2 - 32 + 5 + 10 + 6. What is 6*m(a) - 22*p(a)?
-2*a**2
Let h(q) = 9*q + 7. Let t(j) = -22*j + 3*j - 5 + 14*j + 1. Calculate -6*h(x) - 11*t(x).
x + 2
Suppose 0 = 5*k - 4*k - 5. Let y = 13 + -9. Suppose 3*m - y*u = -18 - 8, -27 = m - k*u. Let f(r) = -r - 4. Let z(l) = 6*l + 21. Determine m*z(w) - 11*f(w).
-w + 2
Let h(l) = 2*l**2 + 4*l + 2. Suppose -o = 2*j - 6, -22 = -2*j - 5*o - 0. Let d = j + -5. Let g(r) = -4*r**2 + 3*r**2 - 3*r - 2 - r**2. Give d*h(y) - 5*g(y).
2*y**2 - y + 2
Let w(z) = z - 1. Let b(v) = 0 + 2*v + 2*v**2 - v**2 + 1. Let x be b(-2). Let q(t) = -2*t + 2 - 1 + 2. Calculate x*w(f) + q(f).
-f + 2
Let f(s) = -s**2 - s - 1. Let z(i) be the first derivative of -4*i**3/3 - 3*i**2/2 - 4*i + 5. Give 2*f(x) - z(x).
2*x**2 + x + 2
Let w(i) = 26*i**2. Let a(r) = 9*r**2. Suppose 28 = 3*p - 10*p. Give p*w(u) + 11*a(u).
-5*u**2
Let k(g) = -5*g**3 + 7*g**2 + 3*g. Let a(t) = -4*t**3 + 6*t**2 + 14*t - 12. Let m(v) = v - 1. Let r(b) = -a(b) + 12*m(b). Determine -2*k(f) - 3*r(f).
-2*f**3 + 4*f**2
Let y be (1/2)/((-1)/(-4)). Suppose -22 + 0 = y*v. Let k(r) = -3*r + 2. Let x(f) = 16*f - 10. Calculate v*k(n) - 2*x(n).
n - 2
Let w(a) be the second derivative of -1/10*a**5 + 1/3*a**3 - 1/6*a**4 + 5*a + 2*a**2 + 0. Let q(v) = 4*v**3 + 5*v**2 - 4*v - 9. Determine 2*q(n) + 5*w(n).
-2*n**3 + 2*n + 2
Let a(x) = -5 + 6*x + 1 - 3*x - 2*x**2. Let n(r) = r - 1. Determine -a(y) + 5*n(y).
2*y**2 + 2*y - 1
Let z(g) = -3*g**3 - 20*g**2 - 3*g. Suppose 10 = -2*v + 7*v, -v + 8 = f. Let c(u) = -u**3 - 7*u**2 - u. What is f*z(s) - 17*c(s)?
-s**3 - s**2 - s
Let o(v) = -9*v**3 - 7*v**2 - 5*v - 1. Let p(h) = 4*h**3 + 3*h**2 + 2*h. Give -2*o(i) - 5*p(i).
-2*i**3 - i**2 + 2
Let y(n) = 2. Suppose -4*s + 7 = -1. Let u(g) = -3*g - 18 + 0*g + 2*g. Give s*u(f) + 18*y(f).
-2*f
Let q(v) = 3*v - 2. Let y(n) = 3*n - 2. Let l(m) = -4*m**3 - m**2 - 2*m - 1. Let w be l(-1). Calculate w*q(p) - 5*y(p).
-3*p + 2
Let j(v) = -13*v**3 - 5*v**2 - 5*v + 5. Let l(s) = -13*s**3 - 6*s**2 - 6*s + 6. Give -6*j(q) + 5*l(q).
13*q**3
Let z(k) = 2*k - 6. Let c be z(4). Let l be -5*7/((-105)/6). Let y be 1/1*l/(-2). Let i(d) = -d**2 + 2*d - 2. Let a(s) = s - 1. Give c*a(q) + y*i(q).
q**2
Let m(w) = -4*w**3 - 3*w + 3. Let t(a) = -4*a**3 - 4*a + 4. Let x(f) = -3*f - 3. Let l be x(-2). Give l*t(k) - 4*m(k).
4*k**3
Let w(h) = -h + 5. Let b(d) = 3*d - 14. Suppose -2*n - 4 = -3*n. Let v be 4 + -5 - (0 + 18). Let g = -8 - v. Determine g*w(t) + n*b(t).
t - 1
Let h(x) = -93*x**2 + 11*x - 11. Let r(k) = 31*k**2 - 4*k + 4. Give -4*h(g) - 11*r(g).
31*g**2
Let v(p) = -p**2 - p - 1. Let m(u) = 8*u + 12. Determine -m(o) - 8*v(o).
8*o**2 - 4
Let p be -6*(-5 + (-8)/12). Let i(u) = 6*u**3 + 11*u**2 + 17. Let n(t) = -t**3 - 2*t**2 - 3. What is p*n(r) + 6*i(r)?
2*r**3 - 2*r**2
Let i(g) = -15*g. Let l(p) = 3*p. Suppose -4 - 29 = 3*b. What is b*l(d) - 2*i(d)?
-3*d
Let w(v) = -v. Let n(r) = 4*r - 4. Give n(t) + 6*w(t).
-2*t - 4
Let c(f) = -2*f - 2. Let t(w) be the third derivative of -1/6*w**4 + 0*w + 0 + 2*w**2 - 5/6*w**3. Determine -5*c(o) + 2*t(o).
2*o
Let u(n) = 2*n**3 + 7*n**2 + 6*n - 6. Let j(s) be the first derivative of -3 - 13/3*s**3 - 11/2*s**2 - s**4 + 11*s. Let y = 20 - 31. Calculate y*u(t) - 6*j(t).
2*t**3 + t**2
Let a(o) = -o**2 - 2*o - 7. Let x(v) = v**2 + 3*v + 8. Calculate 6*a(y) + 5*x(y).
-y**2 + 3*y - 2
Let z(n) = -2*n. Let x(k) = 19*k + 1. Calculate 2*x(c) + 14*z(c).
10*c + 2
Let y(u) = u**3 - u**2 - u. Let z(w) = 11*w**3 + 0*w**3 - 3*w**3 - 10*w - 10*w**2. What is -20*y(f) + 2*z(f)?
-4*f**3
Suppose -4*b = -8, -2*l + 0*l - 2*b + 8 = 0. Let s(f) = -1. Let c(d) = -d. Let j(v) = -v**2 - 4*v - 4. Let k be j(-3). Calculate k*c(h) + l*s(h).
h - 2
Let k(f) = f**3 - 10*f**2 + 19*f - 30. Let s be k(8). Let l(m) = m**2 - m. Let d(y) be the first derivative of 2*y**3/3 - y**2 + 1. What is s*l(u) + 4*d(u)?
2*u**2 - 2*u
Let k(i) = -21*i - 9. Let h(p) = -3*p + 6*p - 2*p + 0 + 1. Let n(v) = 15*h(v) + k(v). Let j(f) = -5*f + 5. Give -4*j(y) + 3*n(y).
2*y - 2
Let d(h) = -h - 1. Suppose -5*t - v - 25 = 3*v, t + 3*v + 16 = 0. Let a(s) = 3*s + 0 + s**2 - s + 2. Let z = 4 + -6. What is t*a(x) + z*d(x)?
-x**2
Let v(d) = -d**2 - 4*d + 2. Let z(x) = -3*x**2 - 17*x + 9. Give -26*v(u) + 6*z(u).
8*u**2 + 2*u + 2
Suppose -6*z - 4 = -2*z. Let d(y) = -2*y + 4. Let r(c) = 3. Let s(a) = 1. Let v be (12/(-10))/((-6)/(-20)). Let x(t) = v*s(t) + r(t). Calculate z*d(q) - 4*x(q).
2*q
Let q(y) = 33*y**2 - 2. Let t(f) = f**2 - 1. Determine q(j) - 2*t(j).
31*j**2
Let l(m) be the third derivative of -m**4/24 - m**3/6 - 31*m**2. Let s(a) = -10*a - 11. Determine 66*l(f) - 6*s(f).
-6*f
Let y(g) = g. Let p(j) = 4*j + 2. What is -2*p(b) + 4*y(b)?
-4*b - 4
Let x(f) = -