 + 2
Let p(y) = 16*y**3 - 2*y. Let x(c) = 5*c**3 - c. Determine -2*p(r) + 7*x(r).
3*r**3 - 3*r
Let r(m) = -8*m**3 - 13*m**2 - 4*m - 6. Let q(g) = 23*g**3 + 38*g**2 + 11*g + 17. Give 6*q(o) + 17*r(o).
2*o**3 + 7*o**2 - 2*o
Let d(l) be the third derivative of -l**4/12 - l**3/2 + 10*l**2. Let z(g) = -2*g - 2. Calculate 3*d(q) - 4*z(q).
2*q - 1
Suppose 0 = -5*c - a - 2*a + 11, 0 = 4*c - 3*a - 25. Let i(l) = -3*l**2 + 4*l + 4. Let b(h) = -15*h**2 + 21*h + 21. Give c*b(j) - 21*i(j).
3*j**2
Let h(d) = 4*d + 14 - 14. Let r(a) = -a + 1. Let w(j) = -j + 3. Let i be w(4). Let t = 3 - 5. What is i*h(l) + t*r(l)?
-2*l - 2
Suppose -4*d - 12 + 32 = 0. Let y(j) = -d - 7*j + j - 1. Let i(r) = -2*r - 2. Let p(v) = v**3 + 6*v**2 + 7*v + 1. Let q be p(-3). What is q*i(w) - 2*y(w)?
-2*w - 2
Let x(w) = -2*w**2. Let p(a) be the third derivative of -2*a**5/15 + a**3/6 - 3*a**2. Suppose -j + 2 + 0 = 0. Give j*p(f) - 9*x(f).
2*f**2 + 2
Let j(x) = 21*x. Let g(y) = -22*y - 1. Give 2*g(t) + 3*j(t).
19*t - 2
Let y(m) = 27*m - 6. Let v(j) = 28*j - 5. Determine 4*v(l) - 3*y(l).
31*l - 2
Let x = -71 - -97. Let w(h) = 5*h**3 + 13*h**2 + 13. Let v(d) = -d**3 - 3*d**2 - 3. What is x*v(p) + 6*w(p)?
4*p**3
Let u(r) = r + 1. Let y(a) = 1. Let j(f) = -f - 1. Let c be j(-4). Let w be (-2)/(-1)*(-2 + c). Suppose -2*z - 4 = -w. What is z*u(t) + y(t)?
-t
Suppose 77 = 10*q - 17*q. Let j(u) = 7*u**3 + 8*u - 2. Suppose -2*y + 6 = -y. Let d(s) = 13*s**3 + 15*s - 4. Calculate q*j(i) + y*d(i).
i**3 + 2*i - 2
Let n(g) = 36*g**2 + 2*g - 2. Let d(l) = 3059*l**2 + 171*l - 171. Give 2*d(z) - 171*n(z).
-38*z**2
Let k(t) = 5*t + 10. Let l(v) = 4*v + 11. Give 3*k(d) - 4*l(d).
-d - 14
Let i(r) = 3*r**3 - 3*r**2 - 6*r. Let x(y) be the second derivative of -y**5/10 + y**4/6 + 5*y**3/6 - 8*y - 1. What is -3*i(a) - 4*x(a)?
-a**3 + a**2 - 2*a
Let v(z) = -2*z. Let m(j) = 2*j. Give -2*m(l) - 3*v(l).
2*l
Let u(d) = 2*d**3 - 3*d - 3. Let c(s) = -4*s**3 + 7*s + 7. Suppose 2*m + 4*j + 6 = 0, -m + 0*m + 3*j = -12. What is m*c(z) + 7*u(z)?
2*z**3
Let x(k) = -4*k - 1. Let t(s) = 12*s + 2. Give -2*t(r) - 7*x(r).
4*r + 3
Let p(l) be the second derivative of -5/2*l**2 + 0 + 2/3*l**3 - 10*l + 5/12*l**4 - 1/5*l**5. Let h(a) = -a**3 + a**2 + a - 1. Calculate -5*h(x) + p(x).
x**3 - x
Let o be 0/(-2) - (-3 - -7). Let k(h) = 5*h**2 - 7*h + 9. Let z(v) = -2*v**2 + 3*v - 4. Calculate o*k(b) - 9*z(b).
-2*b**2 + b
Let f(j) = -j**2 - j - 1. Let h(o) = o + 1. Calculate -f(s) - h(s).
s**2
Let i be 2 + 4*(-3)/(-6). Let j(a) be the first derivative of 3*a**2 - 1. Let v(z) = 13*z. Calculate i*v(w) - 9*j(w).
-2*w
Let v(y) = -3*y**2 - 1. Let n(x) = 6*x**2 + 2. Let m(g) = -2*n(g) - 5*v(g). Let l(o) = -o**2. Let c be (3/(-9))/((-1)/(-3)). What is c*m(h) - 2*l(h)?
-h**2 - 1
Let q(u) = 7*u + u**2 - u**3 - 4 + 1 + 4*u**2 + 0*u**2. Let f be q(6). Let g(b) = -b + 2. Let a(c) = -2*c + 3. Determine f*a(s) - 5*g(s).
-s - 1
Let n(c) = c - 1. Let i be 2/(-2 + (-2 - -2)). Let z(x) = -7*x + 5. Give i*z(t) - 6*n(t).
t + 1
Let h(s) = -3*s - 7. Suppose 20*v + 18 + 62 = 0. Let c(a) = -2*a - 6. What is v*c(j) + 3*h(j)?
-j + 3
Let m(i) = -4*i**2 - 2*i + 5. Let p(y) = -y**2 + 1. Let c be (3/(-2))/((-15)/(-30)). What is c*p(o) + m(o)?
-o**2 - 2*o + 2
Let m(y) = 18*y**3 + 3*y. Let s(b) = -215*b**3 - 35*b. Give -35*m(v) - 3*s(v).
15*v**3
Let t(r) be the second derivative of -r**4/24 - r**3/6 + 2*r**2 + 5*r. Let s(i) be the first derivative of t(i). Let d(p) = 6*p + 8. Give -d(c) - 5*s(c).
-c - 3
Let f(v) = 5*v - 1. Suppose 0 = -3*w - 22 + 1. Let s(m) be the first derivative of -2*m**2 + m + 3. What is w*s(c) - 6*f(c)?
-2*c - 1
Let z(j) = -j + 2. Let c be ((-2)/3)/(10/(-45)). Let l be z(c). Suppose 3 = 3*u - 15. Let t(n) = -n**2 - 1. Let a(d) = -8*d**2 + 2*d - 6. Give l*a(r) + u*t(r).
2*r**2 - 2*r
Let r(t) = -8*t**3 - 6*t**2 - 6. Suppose -17*g - 10 = -15*g. Let n(h) = -7*h**3 - 5*h**2 - 5. Calculate g*r(u) + 6*n(u).
-2*u**3
Let w(m) = 2*m**3 - 7*m**2 - 4*m - 5. Let t be 110/(-15) - 1/(-3). Let p(o) = -10*o**2 + 5*o**3 - 7 - 6*o - 3*o**3 + o**3. What is t*w(k) + 5*p(k)?
k**3 - k**2 - 2*k
Suppose -15 = 4*o - 5*o + 3*v, 0 = -5*o - 5*v + 15. Let i(s) = 5*s + 1. Let t be 30/2 + 0 + -4. Let d(k) = -2 - 9*k + 1 - 1. Give o*d(y) + t*i(y).
y - 1
Let a(c) = -110*c**3 + 45*c**2 + 45*c. Let r(m) = -5*m**3 + 2*m**2 + 2*m. Give -2*a(y) + 45*r(y).
-5*y**3
Let f(z) = -2*z - 2. Let h be f(2). Let x(j) = 0*j + j**3 - 4*j**3 + 4*j**3 - 2*j**2 + 2*j. Let m(p) = 7*p**3 - 13*p**2 + 13*p. Give h*m(g) + 39*x(g).
-3*g**3
Let v(z) be the first derivative of z + 3 - z**2 - 1/3*z**3. Let g(l) = 2*l. Give 3*g(m) + 2*v(m).
-2*m**2 + 2*m + 2
Let o(l) = 68*l**2 + 8. Let m(q) = q**2 - 1. Give -8*m(a) - o(a).
-76*a**2
Let f(j) = j + 4. Let q be f(-7). Let o be (q + (-51)/(-15))*-10. Let n(l) be the first derivative of -l**2/2 - 1. Let h(y) = -2*y. Determine o*h(u) + 6*n(u).
2*u
Suppose -i - 3*i + 4 = 0. Let o(q) = 4*q**3 + 2*q**2 - 1. Let r(d) = -d**3 - d**2. What is i*o(j) + 2*r(j)?
2*j**3 - 1
Suppose -22 + 24 = -2*y. Let h(r) = -6*r**2 + 3*r + 5. Let d(i) = -i**2 + i + 1. Calculate y*h(k) + 4*d(k).
2*k**2 + k - 1
Let a = 16 + -11. Let o(j) = a*j + 12 - 12. Let c = 2 - 5. Let i(p) = -4*p. What is c*o(h) - 4*i(h)?
h
Let t(k) = k - 1. Let o(n) = -3*n + 6. Suppose -5*p = -5*g, -5*p = -2*g - 1 - 2. Let i(a) = g*o(a) + 4*t(a). Let m(x) = 2 - 2 + 1. Determine -i(u) + m(u).
-u - 1
Let a(d) = d**2 + 13. Let n(m) = -1. Give -6*a(b) - 78*n(b).
-6*b**2
Let p(l) = 2*l + 8. Let d(q) = -3*q - 15. Determine 6*d(u) + 10*p(u).
2*u - 10
Let w(g) = 2*g**2 + 5*g - 9. Let h(f) be the second derivative of -f**4/12 - f**3/3 + 2*f**2 - 12*f. What is -5*h(b) - 2*w(b)?
b**2 - 2
Let t(f) = -6*f**2 - 4*f. Let s(a) = -2*a**2 - a. Give 8*s(o) - 3*t(o).
2*o**2 + 4*o
Let b(r) = r - 1. Suppose x + 3 = 6. Suppose n - x = -4. Let d be n/(-3) + (-2)/(-3). Let k(v) = 2*v - 1. Calculate d*k(g) - b(g).
g
Let i(b) = -b + 1. Let d(v) = 5*v**2 + 4*v - 8. Give d(j) + 4*i(j).
5*j**2 - 4
Suppose 0 = 3*n - 3. Let x(d) = -6*d**3 - 5*d. Let s(c) = c**3 + c. Let y be 0/(3*(-6)/9). Suppose 2*t - 7*t + 25 = y. Calculate n*x(w) + t*s(w).
-w**3
Let j(a) = -5*a**2 + 2*a + 1. Let o be (18/24*2)/((-1)/2). Let l(s) = 6*s**2 - 3*s - 2. Give o*j(t) - 2*l(t).
3*t**2 + 1
Let u(y) = -1. Let l(k) be the first derivative of -k**5/20 + k**3/6 + 3*k**2 - 3*k + 3. Let f(w) be the first derivative of l(w). Give f(z) + 5*u(z).
-z**3 + z + 1
Let z(p) = 14*p - 4. Let o(f) = 13*f - 3. Give 5*o(b) - 4*z(b).
9*b + 1
Let y(x) = -17*x**2 - 5*x + 9. Let t = 6 + -6. Let p(i) = -2 + 0*i**2 + t + i + 4*i**2 + 0*i**2. Determine 9*p(z) + 2*y(z).
2*z**2 - z
Let j(f) = f**2. Let d(y) = 9*y. Give -d(l) + 2*j(l).
2*l**2 - 9*l
Let f(s) = -47*s + 422. Let z be f(9). Let a(t) = 6*t - 3. Let h(p) = 5 - 4 + 3*p - 4*p. Give z*a(u) - 5*h(u).
-u - 2
Let o(q) = -q + 1. Let j(i) = 4. Suppose 11*c + 11 = -0*c. Determine c*j(t) + 2*o(t).
-2*t - 2
Let v(z) = 3*z**2 - 14*z + 17. Let t(h) = h**2 - 5*h + 6. Calculate -11*t(d) + 4*v(d).
d**2 - d + 2
Let w(k) = -k**3 + 5*k**2 + 4*k + 7. Let j be w(6). Let s(t) = 2*t + 2. Let n(g) = -g - 1. Determine j*n(l) - 3*s(l).
-l - 1
Let b(l) = -2*l**3 + l - 6. Let z(q) be the first derivative of -q + 23. What is -b(v) + 6*z(v)?
2*v**3 - v
Suppose x = 5*x - 20. Let g(n) = -9*n + 3*n + x*n. Let i(o) = 7*o - 3. Determine -5*g(y) - i(y).
-2*y + 3
Let p(m) = -6*m**2 - 8*m - 2. Let j(i) = 5*i**2 + 7*i + 2. Let v be (-7)/(-2)*(0 - 2). Let q be 404/(-44) + 3 + 4/22. Give q*p(s) + v*j(s).
s**2 - s - 2
Let i(b) = -3*b**3 + 6*b**2 - 2*b. Let x(n) = -6*n**3 + 13*n**2 - 4*n. Determine -13*i(y) + 6*x(y).
3*y**3 + 2*y
Let v(u) = 14*u**3 - 11*u**2 + 11*u - 14. Let o(h) = 5*h**3 - 4*h**2 + 4*h - 5. Determine 11*o(r) - 4*v(r).
-r**3 + 1
Suppose -4*v - 3*k + 11 = 0, -3 = -v - 2*k + k. Let j = 17 - 27. Let w(m) = 4*m - 4. Let r(b) = b - 1. What is j*r(n) + v*w(n)?
-2*n + 2
Let j(f) = -5*f**3 - 9*f**2 + 9*f + 4. Let n(m) = 2*m**3 + 4*m**2 - 4*m - 2. Give -4*j(o) - 9*n(o).
2*o**3 + 2
Let m(o) = -11 + 21*o - 6*o - 2. Let s(j) = 7*j - 6. Determine -4*m(u) + 9*s(u).
3*u - 2
Let a(u) = u - 1. Suppose 2*v + b = -4*b + 18, b = 5*v + 9. Suppose 2*h + 4 = h. Let f(d) = -2*d**2 - 5*d + 6. Give h*a(y) + v*f(y).
2*y**2 + y - 2
Let t(m) = -4*m**3 - 2*m**2 + 2*m - 5. Let s(q) = -5*q*