 = -l. Determine -r(d) + y(d).
d - 11
Let y = -12 - -14. Let m(l) be the first derivative of -2*l**3 - 5*l + y - 5/2*l**2. Let n(d) = d**2 + d + 1. Determine 2*m(r) + 10*n(r).
-2*r**2
Let a(v) = -65*v + 4. Let d(q) = 66*q - 5. Give -7*a(f) - 6*d(f).
59*f + 2
Let a(c) = -3*c. Let l(v) = v. Let h(g) = a(g) + 6*l(g). Let t(z) = z**2 + 7*z. Suppose -45 - 18 = -9*d. Give d*h(j) - 3*t(j).
-3*j**2
Let l(f) = -2*f**3 - 3*f**2 + f - 5. Let u(w) = -w**3 - w**2 - 1. Give -l(v) + 5*u(v).
-3*v**3 - 2*v**2 - v
Let i(m) = -5*m**2 + 7*m - 7. Let k(y) = -4*y**2 + 6*y - 6. Determine -6*i(d) + 7*k(d).
2*d**2
Let a be ((-20)/12)/(10/(-12)). Let g(y) = -3*y + 0*y**a + 5*y**2 - 4*y**2 - 3 + 7*y. Let j(b) = -3*b + 0*b - 8*b - 2*b**2 + 8. What is -8*g(c) - 3*j(c)?
-2*c**2 + c
Let p = -17 - -34. Let q(d) = -7*d**2 - 8*d - 1. Let w(h) = -20*h**2 - 23*h - 3. Calculate p*q(o) - 6*w(o).
o**2 + 2*o + 1
Let l(v) = 0 - 17*v + 0 + 26*v**2. Let g(d) be the second derivative of 3*d**4/4 - d**3 + 2*d + 39. Determine 17*g(u) - 6*l(u).
-3*u**2
Let h(z) = -4*z - 9. Let c(q) = 2*q + 5. Suppose 3*m = 29 - 8. Calculate m*c(s) + 4*h(s).
-2*s - 1
Let d(n) = -4*n. Let q(k) = 8*k. Determine 13*d(y) + 6*q(y).
-4*y
Let d(c) = -343*c**2 - 77. Let j(w) = 9*w**2 + 2. Give 4*d(g) + 154*j(g).
14*g**2
Let f(x) = 2*x + 2. Let m(k) = 0 + k + 0. Suppose -3*l = -4 - 5. Suppose -l*d = -d + 2. What is d*f(j) + 3*m(j)?
j - 2
Let y(k) = -k - 1. Let x(m) = -m + 12. Let p(q) = x(q) + 5*y(q). Let l(z) = 4*z - 5. Let b(h) = -h**2 + 2. Let g be b(3). What is g*l(c) - 5*p(c)?
2*c
Let m(l) = 5*l**2 + 3*l - 3. Let k(j) = 3*j**2 + 2*j - 2. Let h be ((-9)/3)/((-3)/4). Suppose 28 = -5*p + 2*w, -3*p + h = p + 5*w. Determine p*m(n) + 7*k(n).
n**2 + 2*n - 2
Let i(d) = 2*d + 6. Let z(y) = y - 3. Let v(j) = 2*j - 5. Let u(g) = 6*v(g) - 11*z(g). What is 2*i(n) - 5*u(n)?
-n - 3
Let f(w) = 8*w**3 - 22*w**2 + 12. Let c(k) = -3*k**3 + 9*k**2 - 5. What is 12*c(x) + 5*f(x)?
4*x**3 - 2*x**2
Let g(p) be the third derivative of -3*p**6/40 + p**5/12 + 5*p**4/24 - 5*p**3/6 + 21*p**2. Let v(j) = 10*j**3 - 6*j**2 - 6*j + 6. Determine -6*g(q) - 5*v(q).
4*q**3
Let g(t) = 2*t**3 - 3*t. Let z be (-4)/(-12) - (-24)/9. Let n(f) = -f**2 + 2*f + 4. Let u be n(4). Let c(b) = 3*b**3 - 4*b. Determine u*g(h) + z*c(h).
h**3
Let s(r) = -3*r**3 - 4*r**2 - 3*r. Let a(y) = 4*y**3 + 5*y**2 + 4*y. What is 4*a(v) + 5*s(v)?
v**3 + v
Suppose 24 = 4*r + 4*l, -4*l - 4 = -2*r - 16. Suppose -6 = -2*a + 3*y, -3*a - 3*y - 12 = -51. Let b(f) = f - 4. Let g(t) = -4*t + 17. What is a*b(i) + r*g(i)?
i - 2
Let s(f) = -f**2 - f - 1. Let u(g) = 7*g**2 + 6*g + 4. Calculate -6*s(c) - u(c).
-c**2 + 2
Let d(o) = o**3 - 6*o**2 - 4*o. Let i(x) = x**2 + x + 1. Determine -d(m) - 4*i(m).
-m**3 + 2*m**2 - 4
Let k(m) = 2*m**3 - 4*m**2 - 4*m + 4. Let n(u) = -u**2 - u + 1. Let z(o) = o**3 - 4*o**2 + 3*o + 4. Let h be z(3). Determine h*n(i) - k(i).
-2*i**3
Let x(p) = 5*p**3 + 17*p + 4. Let s(z) = 11*z**3 + 33*z + 9. Calculate -4*s(g) + 9*x(g).
g**3 + 21*g
Let d(g) = g**2 - 8*g + 3. Let v be d(8). Let o(h) = h**v + 3*h + h - h. Let a(b) = b. Let x = 5 + -8. What is x*a(j) + o(j)?
j**3
Let x be 6 - 2 - (1 - 1). Let n(v) = 6*v**2 + 2*v + 5. Let h(c) be the second derivative of -7/12*c**4 - 3*c**2 + 0 - 1/3*c**3 - c. Give x*h(y) + 5*n(y).
2*y**2 + 2*y + 1
Let w(v) = -4*v**3 - 28*v**2. Let n(h) = 3*h**3 + 27*h**2. Determine -5*n(a) - 4*w(a).
a**3 - 23*a**2
Let z(o) = 2*o**2 + o + 2. Suppose 15 = -4*j + 3. Let l(k) = -3*k**2 - k - 4. Calculate j*l(t) - 5*z(t).
-t**2 - 2*t + 2
Let i be 4/(2 + (1 - 2) + -3). Let y be ((-11)/(-4))/((-2)/8). Let d(r) = -r + 3. Let j(q) = -q**2 + 6*q - 16. Calculate i*j(n) + y*d(n).
2*n**2 - n - 1
Suppose -y + 0 = 3. Let c be (-2)/y*18/(-2). Let g be 0/(1 - 0) - -34. Let a(f) = -11*f**2 - 17*f. Let d(m) = -2*m**2 - 3*m. Determine c*a(k) + g*d(k).
-2*k**2
Let g(h) = 6*h**2. Let y(t) = 18*t**2. What is -14*g(j) + 5*y(j)?
6*j**2
Let r = -44 - -40. Let w(u) = -5. Let q(n) = -n - 6. Determine r*w(y) + 3*q(y).
-3*y + 2
Let m(x) be the third derivative of 3*x**5/20 - x**4/4 - x**3/3 - 23*x**2. Let w(b) = -8*b**2 + 0 - 1 + 5*b + 3. Calculate -6*m(d) - 7*w(d).
2*d**2 + d - 2
Let h(z) be the third derivative of z**5/15 + z**4/3 - z**3 - 11*z**2. Let v(i) = 7*i**2 + 15*i - 11. What is -11*h(d) + 6*v(d)?
-2*d**2 + 2*d
Suppose 0 = 2*k - n + 39, 5*k - 4*n + 49 = -44. Let s = k - -15. Let b(w) = 1. Let x(r) = -2*r + 6. Calculate s*b(i) + x(i).
-2*i
Suppose 2*f = 4*f - 28. Suppose 0 = -k + 3*i, -2*k - i + 0 = f. Let s(u) = 6*u**2 - 2*u. Let w(r) = -7*r**2 + 2*r. Let g = 6 - 11. What is g*w(j) + k*s(j)?
-j**2 + 2*j
Let b(f) = -154*f**3 + 63*f**2. Let u(k) = -5*k**3 + 2*k**2. Calculate -2*b(h) + 63*u(h).
-7*h**3
Let b(p) = 50*p + 15. Let n(k) = -7*k - 2. Calculate -2*b(m) - 15*n(m).
5*m
Let q(t) = t**2 + 3*t + 3. Let k(p) be the second derivative of p**4/4 + 7*p**3/6 + 7*p**2/2 - p. Determine 3*k(u) - 7*q(u).
2*u**2
Let c(f) = -8*f**2 + 4*f + 6. Let p(i) = i**2 - i - 1. Let b(s) = c(s) + 5*p(s). Let z(d) = -7*d**2 - d + 3. Determine 5*b(r) - 2*z(r).
-r**2 - 3*r - 1
Let w(m) = -m**2 + 3*m + 3. Let t(x) = -x**3 + 7*x**2 - 10*x + 3. Let r be t(5). Let o(j) = j**2 - 3 - 2*j**2 + 5 + 2*j. Give r*w(a) - 4*o(a).
a**2 + a + 1
Let o(b) = -b - 1. Let r(d) = 13*d + 2. Determine -3*o(f) - r(f).
-10*f + 1
Let y(d) = d - 2. Let r(p) = p - 2. Calculate 4*r(h) - 6*y(h).
-2*h + 4
Let o(z) = -z**3 - z**2 - z + 1. Let j(i) = -3*i**3 - 4*i**2 - 5*i + 4. Determine -j(w) + 4*o(w).
-w**3 + w
Suppose 0 = -5*l - 15 - 30. Let f(n) be the third derivative of -5*n**4/24 + n**3 - 7*n**2. Let p(y) = 11*y - 13. Calculate l*f(k) - 4*p(k).
k - 2
Let t(f) = 4*f**3 + f**2 + 5*f + 5. Let h = 27 + -23. Let q(l) = -l + 1 + 0*l + h*l + l**3 - 2*l. What is -5*q(x) + t(x)?
-x**3 + x**2
Let y(a) = 2*a**2 - 1. Suppose 6*n - 64 = -94. Let f(b) = 2*b**2 - 1. Calculate n*y(w) + 6*f(w).
2*w**2 - 1
Let z(t) = -5*t + 4. Let m = -1 - -1. Let n(b) = 5 - 2 - 4*b + m*b. Determine 4*n(y) - 3*z(y).
-y
Let c(d) = -6*d**2 + 6*d + 1. Suppose -h = -0*h - 3. Suppose 0 = -h*x - x + 16. Let o(y) = -5*y**2 + 5*y + 1. Calculate x*c(v) - 5*o(v).
v**2 - v - 1
Let u(y) = -7*y. Let a(g) = g. Let d(m) = -m + 1. Let t be d(-3). Suppose 0*i - 3*i = -t*f - 19, 5*i - 27 = 2*f. What is f*u(n) - 6*a(n)?
n
Let u(c) = c**2 - 4. Let i(w) = -w**2 + 5. Let p(d) = 3*i(d) + 4*u(d). Let m(g) = -3*g**2 + 2. Calculate -m(h) - 4*p(h).
-h**2 + 2
Let k(j) = -j**2 - j - 1. Let q(b) = -11*b**2 + 5*b + 3. Calculate 3*k(v) + q(v).
-14*v**2 + 2*v
Let o(d) = 40*d + 13. Let c(h) = 20*h + 6. Calculate 9*c(s) - 4*o(s).
20*s + 2
Let m(p) = -6*p**2 + 5*p - 10. Let g(b) = 3*b**2 - 3*b + 5. What is 5*g(j) + 3*m(j)?
-3*j**2 - 5
Let p(a) = 53*a + 3. Let m(r) = -1. What is 3*m(i) + p(i)?
53*i
Let y(p) = 4*p + 32. Let m(t) = 2*t + 16. What is 11*m(b) - 6*y(b)?
-2*b - 16
Let r(h) = -6*h**2 - 4*h + 1. Let c(y) = -5*y**2 - 5*y. Calculate -2*c(u) + 3*r(u).
-8*u**2 - 2*u + 3
Suppose 2*z = 3*w - 11, -4*w + 0*z + 7 = 5*z. Suppose x - 16 = -w*x. Let k(u) = -x*u + u + 2*u. Let y(l) = 8*l - 1. Calculate -6*k(j) - y(j).
-2*j + 1
Let o(q) = q**2 - q. Let w(r) = -1. Give -2*o(b) - w(b).
-2*b**2 + 2*b + 1
Let b = -5 - 4. Let p be (-4)/(-18) + (-61)/(-9). Let l(q) = q - p*q + 2*q - 3. Let d(z) = 17*z + 13. Calculate b*l(u) - 2*d(u).
2*u + 1
Let h(b) = -3*b**2 + 15*b - 2. Let f be h(6). Let m(v) = v**3 - v**2. Let q(w) = -4*w**3 + 5*w**2. Calculate f*m(i) - 4*q(i).
-4*i**3
Let d(x) = -x**3 + 6*x**2 + 8*x - 3. Let i be d(7). Let t(a) be the first derivative of 2 - i*a + 1/2*a**2. Let w(j) = 2. What is 2*t(c) + 3*w(c)?
2*c - 2
Let x(w) = 4*w**3 - 4*w**2 - w - 1. Let m(s) = -s**3 + 1. What is -2*m(l) - x(l)?
-2*l**3 + 4*l**2 + l - 1
Let q(b) = -b**2 + 8*b + 8. Let r(h) = h**2 - 9*h - 9. Give 7*q(l) + 6*r(l).
-l**2 + 2*l + 2
Let u(k) = -3 - 1 + 2. Let m = -1 + -17. Let l be -5 + (m/(-3))/3. Let y(h) = h**2 + 3. What is l*u(p) - 2*y(p)?
-2*p**2
Let x(h) = 9*h**3 + 3*h. Let g(u) = 36*u**3 + 13*u. Give -6*g(n) + 26*x(n).
18*n**3
Let a(h) = 39*h**3 - 33*h - 33. Let l(m) = -5*m**3 + 4*m + 4. What is 4*a(x) + 33*l(x)?
-9*x**3
Let r = 9 + -7. Let h(o) = -o. Let w(g) = g - 1. Let i(m) = -6*m + 5. Let d(p) = -i(p) - 5*w(p). Let u(l) = -l - 11. Let t be u(-14). Calculate r*d(z) + t*h(z).
-z
Let s(l) = -l