
Let t(h) = 2*h - 5. Let i(x) be the second derivative of -x**3/2 + 9*x**2/2 - 6*x. What is 3*i(m) + 5*t(m)?
m + 2
Let o(l) = -5*l**2. Let m(c) be the third derivative of -7*c**5/30 + 5*c**2. Calculate -4*m(r) + 11*o(r).
r**2
Let r(o) be the third derivative of -5*o**4/24 + 17*o**3/6 + 10*o**2. Let q(v) = v - 4. What is 9*q(d) + 2*r(d)?
-d - 2
Let j(d) = -4*d**2. Let y(i) = 4*i**2. Determine 3*j(a) + 4*y(a).
4*a**2
Let j(s) = -4*s + 7. Let z(w) = 9*w - 15. Calculate -7*j(l) - 3*z(l).
l - 4
Suppose 2*y = -r + 1 - 3, -1 = y + 3*r. Let x(b) = -6*b**3 - 4*b**2 - 4*b - 4. Let p(u) = u**3 + u**2 + u + 1. Give y*x(j) - 4*p(j).
2*j**3
Let o(q) = -26*q + 16. Let h be 64/6*(-3)/2. Let w = -1 + 2. Suppose 5*t + 2 = 2*g + w, 16 = 4*g + 4*t. Let d(f) = -5*f + 3. What is g*o(y) + h*d(y)?
2*y
Let t(x) = 7*x**3 + 6*x**2 - 5*x - 4. Let s(n) = 3*n + 42 - 3*n**2 - 4*n**3 - 40 + 0*n. Suppose 0 = 5*d - 2*y - 27, 9*d - 4*y - 29 = 4*d. Give d*s(b) + 3*t(b).
b**3 + 3*b**2 - 2
Let j(d) = 8*d + 2. Let k(q) = 4*q + 1. Determine -4*j(b) + 7*k(b).
-4*b - 1
Let f(u) = u**3 + 1. Suppose 0 = -0*j + j + 1. Suppose -2*m - 8 = -6*m. Let a(q) = 6*q - m*q - 3*q - 3 - q**3. Give j*a(s) - 3*f(s).
-2*s**3 - s
Let d(v) = -4*v**2 - 3*v. Let u = -20 - -14. Let a = u + 0. Let w(q) = -5*q**2 - 4*q. Give a*d(g) + 5*w(g).
-g**2 - 2*g
Let c(x) be the third derivative of x**6/60 + x**5/20 - 7*x**2. Let v(z) = -z**3 - z**2. Give c(w) + 3*v(w).
-w**3
Let q(f) = 10*f**2 - 6*f - 4. Let u(v) = 10*v**2 - 7*v - 5. Give 5*q(s) - 4*u(s).
10*s**2 - 2*s
Suppose 9*j - 12 = 6*j. Suppose 0 = -r + j*m + 2 + 1, 0 = 4*r + 2*m + 6. Let w(n) = -8*n**2 - 7*n + 2. Let u(x) = -x**2 - x. What is r*w(d) + 6*u(d)?
2*d**2 + d - 2
Let j(v) = -2*v + 5. Let b(i) = -4*i + 10. Let t(w) = -6*b(w) + 11*j(w). Let k(h) = 7 + 4 - 4*h + 0*h. Give 6*k(x) + 13*t(x).
2*x + 1
Suppose h + 1 = -6. Let o(x) = -2*x - 7. Let q(p) = -p. Let f(j) be the first derivative of -j**2/2 + j - 3. Let a(l) = -3*f(l) + 4*q(l). Give h*a(d) + 3*o(d).
d
Let l(d) = -2*d**3 + 4*d - 6. Let y(b) = -3*b**3 + 5*b - 6. Determine 5*l(j) - 4*y(j).
2*j**3 - 6
Let r(v) = 5*v**2 - 6*v + 2. Let b(m) be the first derivative of -3*m**3 + 11*m**2/2 - 3*m + 29. Determine 4*b(q) + 7*r(q).
-q**2 + 2*q + 2
Let k(z) = -7*z + 5. Let v(p) = -6*p + 4. What is -3*k(j) + 4*v(j)?
-3*j + 1
Let o(g) = -3*g**2 - 6*g - 5. Let z(n) = 10*n**2 - 11*n**2 + 0 - 1 - n. Give -o(s) + 6*z(s).
-3*s**2 - 1
Let l(m) = -21*m + 19 + 5 - 40. Let j(z) = -4*z - 3. Suppose -4*g + 6 = -g. Give g*l(x) - 11*j(x).
2*x + 1
Let h(u) = -3*u + 5. Let i(l) be the first derivative of 3*l**2 - 9*l - 6. Let s be 4/(-2) - (-2 - 7). Give s*h(o) + 4*i(o).
3*o - 1
Let u(v) = -5*v**2 - 4*v - 7. Let k(q) = -5*q**2 - 3*q - 6. Let p(y) = 5*k(y) - 4*u(y). Let m(s) = -14*s**2 + 0 + 0 - 5 + 2*s. Give -3*m(z) + 8*p(z).
2*z**2 + 2*z - 1
Let b(u) = 4*u**3 + 4*u**2 - 6*u - 7. Let p(h) = -3*h**3 - 3*h**2 + 4*h + 5. Calculate -5*b(f) - 7*p(f).
f**3 + f**2 + 2*f
Let g(i) = -i**3 - i**2 - i + 1. Let c = 30 + -29. Let f(a) = -a**3 - 3*a**2 - 2*a + 1. Give c*f(d) - 3*g(d).
2*d**3 + d - 2
Let j(h) = 5*h - 6. Let a(z) = 11*z - 12. Determine 3*a(p) - 7*j(p).
-2*p + 6
Let a(u) = -2*u - 7. Let z(c) = -5*c - 14. Give 7*a(q) - 3*z(q).
q - 7
Let v(c) = -6*c - 3. Let a(w) = 3*w + 2. Give 9*a(p) + 4*v(p).
3*p + 6
Let z(s) = 8*s**3 - 6*s - 3. Let w(q) = 8*q**3 - 7*q - 4. Determine 4*w(x) - 5*z(x).
-8*x**3 + 2*x - 1
Let g(k) = k**2 - 4*k. Suppose t = 5*t + 16. Let w(m) be the third derivative of 0*m + 0 - 1/24*m**4 + 0*m**3 - 3*m**2. What is t*w(x) + g(x)?
x**2
Let m(w) = -w**2 + 11*w - 11. Let a be m(9). Let g(r) = 6*r - 6. Let l(x) = 5 + 5 - 4*x - 6. Calculate a*l(y) + 5*g(y).
2*y - 2
Let r(x) = x + 1. Suppose -3*a + 94 = 85. Let z(c) = 5*c - 1. Let l(t) = -24*t + 4. Let o(q) = 6*l(q) + 28*z(q). Give a*r(b) + o(b).
-b - 1
Let b(v) = 2*v**2 - 8*v + 3. Let x(h) = -3*h**2 + 9*h - 4. Calculate 5*b(l) + 4*x(l).
-2*l**2 - 4*l - 1
Let u(j) be the first derivative of -3*j - 4. Let x(c) = -c**2 - 7. Give -7*u(m) + 3*x(m).
-3*m**2
Let g(v) = -1 - 6 + 5*v - 3*v + 5*v + 4*v**2. Let t(f) = f**2 + 2*f - 2. What is 4*g(n) - 14*t(n)?
2*n**2
Let m(p) = 4*p**2 + 5*p - 5. Let c(u) = -17*u**3 + u**2. Let o be c(-1). Let k(z) = -z**2 - z + 1. Determine o*k(b) + 4*m(b).
-2*b**2 + 2*b - 2
Let o(w) = w**2 + 3. Let t(f) = f**2 + f + 4. What is 4*o(d) - 3*t(d)?
d**2 - 3*d
Let x(u) = u**2 + 7*u - 7. Let p(h) = 3*h - 3. Suppose -2*c + c + 22 = 0. Suppose 5*w - 3 = c. Determine w*p(b) - 2*x(b).
-2*b**2 + b - 1
Let q(r) = 2*r + 16. Let y(v) = -v - 1. What is q(b) + y(b)?
b + 15
Let h(p) = -p**3 + 4*p**2 - 4*p + 4. Let l(q) = 7*q**3 - 11*q**2 + 8*q - 11. Let i(k) = -k**3 + k. Let u(g) = 3*i(g) + l(g). Give 11*h(r) + 4*u(r).
5*r**3
Let q be (2/(-2))/(1/(-6)). Let t(n) = 11*n**3 - 17*n**2 + 6*n + 14. Let m(o) = -4*o**3 + 6*o**2 - 2*o - 5. Give q*t(u) + 17*m(u).
-2*u**3 + 2*u - 1
Let p(c) = -1 - c**2 - 3*c**2 + 4*c**2 - c**2 + c. Let d(t) = 5*t**2 - 4*t + 4. Give d(k) + 4*p(k).
k**2
Let v(j) = j - 1. Suppose 3*z + 2 = 2*i, 5*z - i - 2 = 2*z. Let m = -3 + z. Let y(q) = -q**2 - q - 2. Determine m*v(l) + y(l).
-l**2 - 2*l - 1
Let a(k) = -k**2 + 7*k. Let b = -7 - -3. Let w(i) = i**2 - 6*i. Calculate b*a(z) - 5*w(z).
-z**2 + 2*z
Let z(t) = 20*t. Suppose -5*c - 6 - 79 = 0. Let a(p) = 7*p. Give c*a(h) + 6*z(h).
h
Suppose 4*v = -5*x + 50, -14 = -5*x + v + 11. Let o be (x/(-3))/((-2)/17). Let f(w) = 7*w - 2. Let n(k) = -5*k + 8 - 15*k - 2. Give o*f(y) + 6*n(y).
-y + 2
Let v(d) = d**2 + d + 1. Let r(g) = g**2 + 3*g + 6. Determine -r(f) + 3*v(f).
2*f**2 - 3
Let f(d) = -16*d**3 + 17*d. Let x(n) = -n**3 + n. What is 6*f(g) - 102*x(g)?
6*g**3
Let o(u) = 16*u - 22. Let n(h) = h - 1. Let s(l) = 5*n(l) - o(l). Let x = -184 - -178. Let k(z) = 5*z - 8. Determine x*s(m) - 13*k(m).
m + 2
Let t be 237/27 + 2/9. Let d(y) be the first derivative of 8*y**3/3 + y**2/2 + 9*y + 15. Let w(c) = 2*c**2 + 2. Determine t*w(b) - 2*d(b).
2*b**2 - 2*b
Suppose -5*i = -3*g - 3, -5*i - 2 = g - 1. Let p = -6 + 4. Let a(d) be the second derivative of -d**3/3 - d**2 + 2*d. Let n(f) = -f**2. Give g*a(k) + p*n(k).
2*k**2 + 2*k + 2
Let x(z) = -z**2 + z - 1. Let y(g) = -12*g**3 - 20*g**2 + 20*g - 20. What is -20*x(f) + y(f)?
-12*f**3
Let b(y) = -y**3 - 9*y**2 - 12. Let j be b(-9). Let p(x) = -x**3 - x**2 - x + 1. Let t(v) = 16*v**3 + 12*v**2 + 12*v - 12. Determine j*p(c) - t(c).
-4*c**3
Let j(b) = 2*b**2 - 7*b. Let o(w) = -w**2 + 6*w. Give 4*j(s) + 5*o(s).
3*s**2 + 2*s
Let b(k) = -k**2. Let u(y) = 54*y**2. What is -15*b(m) - u(m)?
-39*m**2
Let s(x) = -x + 1. Let t(l) = 5*l - 9. Calculate -6*s(j) - t(j).
j + 3
Let q(k) = k**3 + k**2 - 1. Let f(b) = -7*b**3 - 4*b**2 - 3*b + 5. Determine f(z) + 5*q(z).
-2*z**3 + z**2 - 3*z
Let t(g) = -9*g + 5. Let c(d) = -9*d + 5. Let b(w) = -6*c(w) + 5*t(w). Let p(k) = -26*k + 14. Calculate 17*b(o) + 6*p(o).
-3*o - 1
Let u(b) = -4*b + 7. Let q(a) = a - 1. Determine 5*q(i) + u(i).
i + 2
Suppose 3*s + 0*s - 6 = 0. Let a(c) = 279*c + 63. Let m(p) = -9*p - 2. Let o(v) = s*a(v) + 63*m(v). Let l(x) = -5*x + 3*x + 4*x + 3*x. Give 7*l(u) + 4*o(u).
-u
Let n(b) = -b**3 + 4*b**2 + 4*b - 4. Let t(k) = k**3 + k**2 + k - 1. Calculate -n(r) + 4*t(r).
5*r**3
Let b(m) = -2*m**2 - 5*m + 12*m - 5 + 0*m**2 - 9*m. Let o(d) = 6*d**2 + 5*d + 14. What is -11*b(l) - 4*o(l)?
-2*l**2 + 2*l - 1
Let h(o) be the second derivative of o**4/2 - 5*o**3/6 + 4*o. Let i be 63/(-6)*(-4)/3. Let y(z) = -4*z**2 + i*z - z**2 - 12*z**2. Give 11*h(g) + 4*y(g).
-2*g**2 + g
Let b(j) = -5*j**2 + 5*j + 3. Let n(s) = -14*s**2 + 14*s + 8. Suppose -29 = -3*p + 5*f, -4*f - 13 = -0*p + p. Suppose -14 = 2*z + 2. Give p*n(w) + z*b(w).
-2*w**2 + 2*w
Let z = -37 - -40. Suppose 5*y = x - 27, 5*y = -x - 2*x - 19. Let t be (3 - x) + z + 2. Let a(l) = -l - 7. Let v(c) = c + 8. Determine t*a(i) + 5*v(i).
-i - 2
Let u(o) = -o - 1. Let t(j) = 2*j**2 - j + 6. Suppose 3*z = 4*z + 4. Let h(f) = 3*f**2 - 2*f + 7. Let i(r) = z*t(r) + 3*h(r). Calculate i(y) - 2*u(y).
y**2 - 1
Let v(f) = 9*f + 4. Let z(m) = 5*m + 2. Give -3*v(o) + 5*z(o).
-2*o - 2
Let j(f) = 4*f**3 - 7*f**2 - 25*f - 7. Let n(o) = 2*o**3 - 4*o**2 - 13*o - 4. Calculate -4*j(h) + 7*n(h).
-2*h**3 + 9*h
Let p(z) be the third derivative of -z**4/12 + z**3 + 6*z**2. Let y(c) = 2*c - 5. What i