. Calculate w*n(d) + u(d).
d**3 + d**2 + 2
Let t(b) = 40*b**3 - 3*b**2 - 3*b. Let k(v) = 119*v**3 - 8*v**2 - 8*v. Calculate 3*k(s) - 8*t(s).
37*s**3
Let u(r) be the third derivative of r**4/24 - r**3/6 + 23*r**2. Let j(b) = 8*b - 10. What is -2*j(v) + 20*u(v)?
4*v
Suppose 10 = n - u, -15 = -5*n - 4*u + 2*u. Let q(b) = b - 4 + 0*b + b - n. Let c(s) = 9 - 3*s - 9 + 13. What is 5*c(x) + 7*q(x)?
-x + 2
Let w(c) = -13*c**3 - 3*c**2 + 3*c + 3. Let o(j) = -38*j**3 - 10*j**2 + 10*j + 10. Determine -3*o(u) + 10*w(u).
-16*u**3
Let t(p) = -2*p**2 + p + 2. Let k(y) be the third derivative of -y**5/30 + y**4/12 + y**3/2 + 21*y**2. Let m = 2 - 4. What is m*k(v) + 3*t(v)?
-2*v**2 - v
Suppose 2*v + 3*v = -10. Let t = -1 - v. Let w(k) = 6*k**2 + 4*k - 4. Let a(r) = -r**2 - r + 1. What is t*w(g) + 4*a(g)?
2*g**2
Let d(i) = 3*i. Let g(t) = 3*t - 5. Let k(h) = -1. Let o(j) = -g(j) + 5*k(j). Let w = 16 + -11. Calculate w*o(b) + 6*d(b).
3*b
Let f(b) = b**2 - 1. Let g(d) = -5*d + 3. Let i be g(0). Let w(h) be the second derivative of 7/2*h**2 + 0*h**3 + i*h - 5/12*h**4 + 0. Give 6*f(s) + w(s).
s**2 + 1
Suppose 3*i - 2*a = 16, -3*i + 5*a = 2*i - 30. Let l(x) = -5*x**3 + 6*x**2 + 4*x + 3. Let y(r) = r**3 - r**2 - r - 1. Give i*y(h) + l(h).
-h**3 + 2*h**2 - 1
Let h(a) = a**3 + a**2 - a. Let x(t) = -4*t**3 - t**2 - t + 1. Determine h(o) + x(o).
-3*o**3 - 2*o + 1
Let x(j) = -j + 1. Let f(i) = 10*i - 5. Calculate f(h) + 4*x(h).
6*h - 1
Let u = 2 + -2. Let c = u - 2. Let l = c - 0. Let n(q) = 4*q**3 + 7*q**2 - 5*q - 5. Let x(t) = 2*t**3 + 3*t**2 - 2*t - 2. What is l*n(p) + 5*x(p)?
2*p**3 + p**2
Suppose 6 = -2*i + 4*k, 0*k - 2*k = 3*i + 9. Let t(b) = 6*b - 4. Let n(w) = 5*w - 3. What is i*n(a) + 2*t(a)?
-3*a + 1
Let f(a) = 5*a**2 + 5*a. Let w(m) = -16*m**2 - 14*m. Give -14*f(q) - 5*w(q).
10*q**2
Let f(i) = i**2 + 1. Let j(s) = s**2 + 7*s + 15. Let p(d) = 6*f(d) - j(d). Let q(n) = 3*n**2 - 4*n - 5. What is -4*p(w) + 7*q(w)?
w**2 + 1
Let z = 7 + -4. Suppose -1 - z = -4*k. Let w(l) = -2*l**3 - 3*l**3 - 7*l + 3*l + 4 + 4*l**2. Let m(h) = -h**3 + h**2 - h + 1. Give k*w(y) - 4*m(y).
-y**3
Let t(s) = s + 4. Let n = -33 + 29. Let y(r) be the second derivative of r**2/2 + r. What is n*y(c) + t(c)?
c
Let l(d) = -d**2 + 1. Let u(c) be the second derivative of -c**4/3 + 5*c**2/2 - 5*c. What is 5*l(v) - u(v)?
-v**2
Let o(d) = -31*d**2 - 6*d + 6. Let v(k) = 2200*k**2 + 425*k - 425. Calculate -425*o(q) - 6*v(q).
-25*q**2
Let s(d) = -d**2. Let h(l) = -10*l**2 + 14*l + 14. Let k(c) = -h(c) + 4*s(c). Let m(q) = -q**2 + 3*q + 3. Determine 3*k(v) + 14*m(v).
4*v**2
Let v(t) = -63*t - 3. Let x(m) = -21*m - 1. What is 3*v(f) - 8*x(f)?
-21*f - 1
Let n(t) = -4*t**2 - 6*t. Let a be (-2)/(-8) + 38/8. Let v(c) = -2*c**2 + 13*c**2 - a*c + 22*c. Determine -17*n(w) - 6*v(w).
2*w**2
Let q(f) = -4*f**2 + 15*f - 1. Let o(s) = 7*s**2 - 29*s + 2. Determine -3*o(n) - 5*q(n).
-n**2 + 12*n - 1
Let c(y) = -y**2 - 8*y - 2. Let k be c(-6). Let o(u) = -3*u + 5. Let d(i) = i + 2. Let g be d(-8). Let z(a) = 3 + a + 0*a - 3*a. What is g*o(w) + k*z(w)?
-2*w
Let v(m) = 51*m. Suppose 0 = -3*d - 3 - 3. Let i(o) = 5*o. Determine d*v(u) + 21*i(u).
3*u
Let f(c) = 2*c**2 - 2*c - 3. Let t(z) = -z + 3. Let j be t(7). Let s = 7 + j. Let r(y) = y**2 - 2*y - 2. Determine s*r(b) - 2*f(b).
-b**2 - 2*b
Let t(z) = 5*z**2 - 3*z - 3. Let x(m) = 60*m**2 - 35*m - 35. Calculate -35*t(a) + 3*x(a).
5*a**2
Let y(l) = 12*l**2 + 5*l. Let t(k) = 6*k - 59. Let p be t(9). Let q(i) = 114*i**2 + 48*i. Determine p*q(m) + 48*y(m).
6*m**2
Let c(y) = 20*y + 14. Let u(b) = 12 + 9 - 1 - 7 + 19*b. Let g(k) = -6*c(k) + 7*u(k). Let s(z) = -6*z - 3. Calculate 4*g(f) + 9*s(f).
-2*f + 1
Let h(y) = y + 16. Let g be h(-14). Let i(c) = -c**2 + 2*c - 1. Let r(o) = -3*o**2 + 5*o - 2. Suppose 0 = 4*u + 20. Calculate g*r(t) + u*i(t).
-t**2 + 1
Let x(z) = -45*z + 14. Let i(t) = -25*t + 7. Let j(s) = -7*i(s) + 4*x(s). Let g(n) = -4*n + 6. Let o = 10 + -17. Give o*g(c) + 6*j(c).
-2*c
Let g(k) = k**2 + 2*k + 5. Let w(a) = 8*a + 3. Let o(n) = 11*n + 4. Let d(t) = 5*o(t) - 7*w(t). Give 4*d(q) + g(q).
q**2 - 2*q + 1
Let n(z) = 4*z - 5. Suppose 0 = -i + 1 + 5. Let c(d) = 7 + 0 + 1 - i*d. Determine -5*c(o) - 8*n(o).
-2*o
Suppose -5*b = -g - 3*g + 37, 0 = -2*b + g - 13. Let n(d) = 3*d + 7. Let u(x) = 5 - 2*x - 8 - 2. Determine b*n(q) - 7*u(q).
-q
Let y(w) = w**2 + w - 1. Let i(n) = -5*n**2 - 3*n - 6. Give i(p) + 3*y(p).
-2*p**2 - 9
Let h(w) be the third derivative of -w**6/120 - w**5/30 + w**4/8 - w**3/3 + 4*w**2. Let l(j) = 4*j**3 + 9*j**2 - 13*j + 9. Give -9*h(s) - 2*l(s).
s**3 - s
Let j(l) = 5. Let a(r) = 2 + 5 + 14. Let w(n) = -2*a(n) + 9*j(n). Let t(p) = p**2 + p + 4. Determine -2*t(s) + 3*w(s).
-2*s**2 - 2*s + 1
Let i(d) = -7*d**2 - 1. Let p(z) = 6*z**2. Calculate -2*i(s) - 3*p(s).
-4*s**2 + 2
Let m(t) = -4*t**3 - 7*t**2 + 6*t + 7. Let b(i) = 2*i**3 + i**2 + 5*i - 1. Let a(q) = -q**3 - 4*q. Let v(f) = 3*a(f) + 2*b(f). What is 2*m(p) + 7*v(p)?
-p**3 - 2*p
Let m = 0 + 4. Suppose -m*k = -k - 6. Let g(p) = 2*p**3 + 1. Let w be 50/15 + (-1)/3. Let q(a) = -2*a**3 - 1. Calculate k*g(v) + w*q(v).
-2*v**3 - 1
Suppose -6*k = -4*k + 14. Let o(s) = -2*s**3 - 4*s**2 - 3*s + 2. Let t(w) = -5*w**3 - 9*w**2 - 7*w + 5. Give k*o(f) + 3*t(f).
-f**3 + f**2 + 1
Let h(c) = -6*c + 4. Let g(u) = -11*u + 9. Let t(o) = -12*o + 10. Let b(v) = -5*g(v) + 4*t(v). Give 4*b(q) + 5*h(q).
-2*q
Let t(w) = 6*w**2. Let c = -58 - -57. Let m(s) = s**2. Calculate c*t(a) + 5*m(a).
-a**2
Let m(i) = -4*i - 2. Suppose -2*a + 5*a = 3*k - 72, -76 = -3*k + a. Let v = 0 - k. Let q(g) = -17*g - 9. Determine v*m(n) + 6*q(n).
2*n - 2
Let p(u) be the second derivative of 2*u**5/5 - 7*u**4/6 + 7*u**2 - 2*u. Let a(y) = -3*y**3 + 5*y**2 - 5. Let g = 32 + -46. Calculate g*a(f) - 5*p(f).
2*f**3
Let u(s) = -5*s**3 - 6*s + 4. Let c(w) = w**3 + 7*w**2 + 17*w - 6. Let z(m) = m**3 + 3*m**2 + 8*m - 3. Let h(f) = -3*c(f) + 7*z(f). Determine 4*h(y) + 3*u(y).
y**3 + 2*y
Let h(d) = -2*d + 2. Let o(k) = 1. Give -3*h(x) + 6*o(x).
6*x
Let x(k) = -6*k**3 + 11*k**2 + 17*k + 11. Let f be -9*((-4)/(-12) + -1). Let a(n) = -3*n - 4*n**2 - 4*n**2 - 2 + f*n**2 + n**3. Determine -34*a(p) - 6*x(p).
2*p**3 + 2*p**2 + 2
Let h(v) = -56*v**2 - 42*v + 42. Let g(t) = -t**2 - t + 1. Give 84*g(l) - 2*h(l).
28*l**2
Let j(a) = -7*a. Let c(f) = -3*f. Let i(w) = 3*w - 4. Let o be i(3). Let u = o + 0. Determine u*c(z) - 2*j(z).
-z
Let m(v) = -15*v**2 + 4*v + 2. Let o(x) = -46*x**2 + 13*x + 7. Give -7*m(q) + 2*o(q).
13*q**2 - 2*q
Let t(f) = 209*f + 44. Let v(b) = -14*b - 3. Give 3*t(o) + 44*v(o).
11*o
Let l(g) = 8*g - 7*g - 4*g + 8. Let p(z) = -2*z + 7. Determine -5*l(x) + 6*p(x).
3*x + 2
Let h(l) = l**2 + l - 1. Let b(q) = 10*q**2 + 8*q - 10. What is -2*b(x) + 18*h(x)?
-2*x**2 + 2*x + 2
Let b(j) = -9*j**2 + 4. Let s(f) = -5*f**2 + 2. What is 3*b(x) - 5*s(x)?
-2*x**2 + 2
Let b(h) = -5*h + 3. Let i be 3/((-12)/(-8)) + 2. Let r(q) = 6*q - 4. What is i*b(g) + 3*r(g)?
-2*g
Let u(t) = -3*t**2 + 4*t**3 - 5*t - t + 3*t. Let v(i) = -3*i**3 + 2*i**2 + 2*i. Let p = -17 - -21. Determine p*u(z) + 6*v(z).
-2*z**3
Let v(x) = -2*x**2 - 5*x + 3. Let n(h) = -3*h**2 - 8*h + 5. Let w = 23 + -31. Give w*v(a) + 5*n(a).
a**2 + 1
Let d(g) = -g - 3. Let u(f) be the first derivative of -2*f**2 - 2*f + 2 + 3*f**2 + 6*f. Calculate -3*d(r) - 2*u(r).
-r + 1
Let w(b) = b**2 - 4*b. Let c(x) be the first derivative of -x**2/2 + 14. Give -6*c(a) + w(a).
a**2 + 2*a
Let j(s) = 11*s**2 - 2*s - 2. Let g(d) = 418*d**2 - 77*d - 77. Calculate -2*g(t) + 77*j(t).
11*t**2
Let d(n) = 22*n - 3. Let i be 57/15 - 2/(-10). Let r(y) = -11*y + 2. Let g(h) = i*d(h) + 9*r(h). Let a(k) = 4*k - 2. Calculate -8*a(z) - 3*g(z).
z - 2
Let x(c) = 9*c - 9. Let p(k) = 5*k - 5. What is 7*p(j) - 4*x(j)?
-j + 1
Let u(v) be the first derivative of v**3/3 + 3*v**2/2 - v - 2. Suppose -4*s - 33 + 9 = 4*h, 0 = -h - 4*s - 15. Let y(z) = 2*z. Calculate h*y(p) + 2*u(p).
2*p**2 - 2
Let i(j) = 14*j**3 - 2*j**2 + 8. Let f = -13 - -21. Let r = -15 - -20. Let t(l) = -9*l**3 + l**2 - 5. Determine f*t(x) + r*i(x).
-2*x**3 - 2*x**2
Let d(v) = 0*v + 3*v - v - 3*v. Let j(s) = -s. Calculate 6*d(l) - 3*j(l).
-3*l
Let f(l) be the second derivative of -l**4/4 - 5*l**3/6 - 2*l**2 - 146*l. Let h(y) = -2*y**2 - 3*y - 2. Suppose 0*n = -5*n - 20. De