5*x(n).
75*n**2
Let d(c) = 69*c**3 + 9*c**2 + 9. Let o(w) = 35*w**3 + 4*w**2 + 4. Determine -4*d(k) + 9*o(k).
39*k**3
Let v(k) = 3*k + 9. Let h(l) = 4*l + 8. Determine 7*h(g) - 6*v(g).
10*g + 2
Let s(u) = -2*u**2 - 2*u - 3. Let w(r) be the second derivative of 1/2*r**3 - 5*r + 0 + 1/6*r**4 + 2*r**2. Let l be 22/6 - 2/(-6). What is l*s(g) + 3*w(g)?
-2*g**2 + g
Let d(m) = 2*m**2 + m - 1. Let k(q) be the first derivative of -1/3*q**3 - 1/2*q**2 - 4 + q. Determine -2*d(c) - 2*k(c).
-2*c**2
Let f(u) = u**3 - u**2 + 1. Let t(p) = -4*p**3 + 3*p**2 + 3*p - 3. Calculate -3*f(o) - t(o).
o**3 - 3*o
Let a(t) = t**3 - 2*t**2 + 2*t. Let f(z) = -2*z**3 + 7*z**2 - 6*z + 1. Let n(j) = 7*a(j) + 2*f(j). Let r(w) = -19*w**3 - 13*w - 13. Determine 39*n(p) + 6*r(p).
3*p**3
Let f(m) = -m**2 + 6*m - 2. Let p(r) = r**2 - 11*r + 4. What is 11*f(c) + 6*p(c)?
-5*c**2 + 2
Suppose 0 = 2*z - 3*i + 3, -2*i = -5*i + 9. Let j(g) = g**3 - 6*g**2 + 4*g + 4. Let l(q) = -q**3 + 5*q**2 - 3*q - 3. Give z*j(y) + 4*l(y).
-y**3 + 2*y**2
Let i(y) = -1. Suppose 5*u + 3 = 3*h, 0 = 4*h - 2*h - 2*u - 2. Let o(q) = q - 4. Suppose 0 = -3*m + 2*m - 3. What is h*o(z) + m*i(z)?
z - 1
Let n(x) = 12*x**3. Let p(z) = -z**3. What is -4*n(w) - 16*p(w)?
-32*w**3
Let r(a) = -2*a**2 + a + 1. Let c(p) = 2*p**2 - p. Determine -4*c(m) - 3*r(m).
-2*m**2 + m - 3
Let q(s) = -2. Let c(w) = -1. Let b(p) = -9*c(p) + 4*q(p). Let f(v) be the third derivative of v**4/24 - v**3/2 - 3*v**2. What is -3*b(x) - f(x)?
-x
Let t(x) be the third derivative of -x**5/10 - x**4/8 - 5*x**3/3 + 7*x**2. Let l = -3 - -10. Let w(m) = 2*m**2 + m + 3. Determine l*w(n) + 2*t(n).
2*n**2 + n + 1
Let r(g) = 1. Let w(i) = -2*i - 33. Let u be w(-14). Let b(k) = 4*k + 4. Determine u*r(j) + b(j).
4*j - 1
Let y(g) = g + 6. Let d(h) = -1. Calculate -2*d(q) - y(q).
-q - 4
Let l be 1*(2 + -6 + -1). Let i(h) = h**2 + h. Let x(m) = 7*m**2 + 7*m - 1. What is l*i(q) + x(q)?
2*q**2 + 2*q - 1
Suppose -4 = 4*y + 16. Suppose -3*t + u = -2*u + 21, 20 = 4*u. Let f(d) = 3*d + 9. Let x(h) = -h - 4. Give t*f(w) + y*x(w).
-w + 2
Let u(z) = 10*z - 1. Let d(s) = s. Calculate 6*d(q) - u(q).
-4*q + 1
Let m = 13 - 11. Let f(w) = -4*w - 2 - 5*w**3 - w - w**m - 1 + 2*w. Let a(k) = 14*k**3 + 3*k**2 + 8*k + 8. What is 3*a(n) + 8*f(n)?
2*n**3 + n**2
Let s(v) = 7*v**3 - 7*v**2 - 4*v + 5. Let m(f) = -11*f**3 + 11*f**2 + 6*f - 8. Let g(q) = -q**2 + 14*q + 56. Let r be g(17). Give r*m(w) + 8*s(w).
w**3 - w**2 - 2*w
Let i(x) = -5*x**3 + x**2 - 7. Let g(h) = -h - 16. Let q be g(-15). Let v(o) = o**3 + 1. Let d be 1*7/((-14)/12). Give d*v(y) + q*i(y).
-y**3 - y**2 + 1
Let l(a) = -2*a - 2. Let i(q) = q. Let u(k) = -k - 3. Let x = 2 + -4. Let v(s) = x*i(s) + u(s). Determine 8*l(z) - 5*v(z).
-z - 1
Let x(z) = 51*z**2 + 21*z + 21. Let w(s) be the first derivative of 5*s**3/3 + s**2 + 2*s - 14. Calculate 21*w(y) - 2*x(y).
3*y**2
Let i(k) = 3*k**2 + k - 1. Let h(w) = -w**2 + w - 1. Give 2*h(a) + i(a).
a**2 + 3*a - 3
Let u(s) = 3*s**2 - 2*s. Let z(x) = x**2 - x. Let d = 124 - 125. Give d*u(h) + 2*z(h).
-h**2
Suppose 4*p = -k + 2*p - 3, 0 = -k + p + 9. Let b(c) = 9*c**3 + 5*c. Let y(r) = -14*r**3 - 8*r. What is k*y(u) + 8*b(u)?
2*u**3
Let m(r) = 12*r - 4. Let p(y) = -12*y + 3. Give 3*m(z) + 4*p(z).
-12*z
Let v(g) = g**3 + g**2 + g - 1. Let z(m) = 2*m**3 + 3*m**2 + 3*m - 3. Suppose u = -5*h + 11, 17 + 10 = 5*h - 3*u. Suppose -4 = 3*r + r. Give h*v(t) + r*z(t).
t**3
Let v(y) = y - 4. Let a(u) = -2 + 3 - 3 + 3. Let l be 2*(0 - 1)/1. What is l*v(b) - 9*a(b)?
-2*b - 1
Let t(y) = 10*y**3 - 4. Let q(s) = -1. Determine -q(h) + t(h).
10*h**3 - 3
Let n(r) = -33*r**3 + 11*r**2 - 11*r + 11. Let x(k) = -8*k**3 + 3*k**2 - 3*k + 3. Give -3*n(l) + 11*x(l).
11*l**3
Let o(c) = c. Let k(j) = 2. Give k(b) - 4*o(b).
-4*b + 2
Let q(z) = z - 3. Let f(r) = -r + 3. What is -4*f(b) - 3*q(b)?
b - 3
Let s(i) = 24*i**3 + 5*i**2 - 3. Let j(g) = -23*g**3 - 4*g**2 + 2. What is -5*j(d) - 4*s(d)?
19*d**3 + 2
Let t(k) = 6*k + 3 + 0 - k - k**2. Let p(y) be the first derivative of 2*y**2 - 5 + 2*y - 1/3*y**3. Calculate -3*p(j) + 2*t(j).
j**2 - 2*j
Let i(x) = 21*x**3 + 15*x - 15. Suppose -5 = -v, 0*k + 55 = 3*k + 2*v. Let z(r) = 3*r**3 + 2*r - 2. Calculate k*z(g) - 2*i(g).
3*g**3
Let l(w) = -w**2. Let o(g) = 12*g**2 - 1. What is 18*l(y) + 2*o(y)?
6*y**2 - 2
Let k(r) = -3*r**2 + 2*r**2 - r + 0*r**2 + 2*r**2. Let c(q) = -2*q**2 + 2*q - 2. Calculate c(n) + 3*k(n).
n**2 - n - 2
Let d(w) = 6*w**3 - 5*w**2 - 3*w - 6. Let i(g) = 7*g**3 - 6*g**2 - 4*g - 6. Give -5*d(k) + 4*i(k).
-2*k**3 + k**2 - k + 6
Let q(f) = 16*f**3 + 3*f**2 + 2*f. Let r(a) = a**3 - a**2. Determine q(i) + r(i).
17*i**3 + 2*i**2 + 2*i
Let x(v) = -15*v**2 + 3*v - 11. Let y(b) = -8*b**2 + 2*b - 6. Determine -6*x(h) + 11*y(h).
2*h**2 + 4*h
Let f(j) be the first derivative of -5*j**3/2 + 5*j + 2. Let l(i) be the first derivative of f(i). Let h(a) = a. Give -18*h(q) - l(q).
-3*q
Let x(v) = -6*v - 2*v + v. Let t(m) = -m. Let a = -2 + 1. Give a*x(b) + 6*t(b).
b
Let m(b) be the third derivative of -7*b**4/24 + 2*b**3/3 - 3*b**2. Let t be -7 + 1 - (1 - 1). Let k(c) = -13*c + 7. Give t*k(a) + 11*m(a).
a + 2
Let l = -37 - -39. Let i(b) = b**2 - 1. Let o(u) = -3*u**2 + 4. Determine l*o(x) + 7*i(x).
x**2 + 1
Let r(x) = 5*x**3 + 2*x**2 - 5*x + 5. Let y(l) = 5*l**3 + 3*l**2 - 6*l + 6. Give 6*r(v) - 5*y(v).
5*v**3 - 3*v**2
Let y = -3 - -7. Suppose 4*r - 15 - 9 = 4*x, 0 = -r - x. Let s(t) = -4 + 5 + r - 3*t. Let a(z) = -2*z + 3. Calculate y*s(h) - 5*a(h).
-2*h + 1
Let r = 4 + 1. Let w(p) = 7*p - 3. Let l(j) = -6*j + 2. Let y = 9 - 5. What is r*l(k) + y*w(k)?
-2*k - 2
Let q(y) = -4*y**2 - 4*y + 3. Let n be 3/(-15) - 22/(-10). Let z(k) = 2 + 4*k**n + 0*k**2 - 6*k**2 - 2*k. Let j = 0 + -3. What is j*q(u) + 5*z(u)?
2*u**2 + 2*u + 1
Let h(l) = 2*l**2. Let n(u) = 3*u**2. Determine 4*h(k) - 5*n(k).
-7*k**2
Let v(k) = -k**2 + 3*k + 3. Let z(f) be the first derivative of 4*f**3/3 - 7*f**2 - 14*f + 33. What is -14*v(d) - 3*z(d)?
2*d**2
Let j(r) = -5*r**3 + 2*r - 2. Suppose -29*z + 26*z - 6 = 0. Let y(q) = q**3 + q**2 - q + 1. What is z*y(c) - j(c)?
3*c**3 - 2*c**2
Let z(k) = 10*k**2 - 6*k - 4. Let v(i) = i**2 - i - 1. Determine -6*v(r) + z(r).
4*r**2 + 2
Let o(d) = 4*d + 13. Let j(i) = 11*i + 39. Calculate -6*j(t) + 17*o(t).
2*t - 13
Let x(z) = 4*z - 2. Let c = -4 + 7. Let b(w) = c - 9*w - 8*w + 5. What is -2*b(j) - 9*x(j)?
-2*j + 2
Let k(o) = -3*o**2 - 4*o - 1. Let r = -89 - -85. Let c(y) = 8*y**2 + 11*y + 3. Give r*c(h) - 11*k(h).
h**2 - 1
Let j(z) = -1. Let l(q) = -2*q - 5. Let t(u) = -3*j(u) + l(u). Let s(k) = -k - 1. What is 5*s(w) - 3*t(w)?
w + 1
Let j(v) = 7*v - 8. Let h(i) = -6*i + 6. Let x(s) = 7*s - 7. Let c(g) = 6*h(g) + 5*x(g). Let f = -5 + -1. What is f*c(r) - j(r)?
-r + 2
Let i(a) = a - 9. Suppose 2*t - 4*y = -16, -3*t + 3*y - 1 - 14 = 0. Let d(m) = -4. What is t*i(l) + 5*d(l)?
-2*l - 2
Let n(t) be the first derivative of t**3 - 2*t - 1. Let x(o) be the third derivative of -7*o**5/60 + 5*o**3/6 + o**2 + 4. Calculate -9*n(b) - 4*x(b).
b**2 - 2
Let l(s) = -s**2 + 19*s + 3. Let i(v) = -2*v**2 + 19*v + 4. Give -3*i(h) + 4*l(h).
2*h**2 + 19*h
Let a(m) = -7*m + 4. Let b be ((-2)/(-3))/((-2)/(-15)). Let d(c) = -3*c - 1. Let r(w) = -7*w - 3. Let p(v) = b*d(v) - 2*r(v). Give -a(f) + 5*p(f).
2*f + 1
Suppose -4*b = -2*u - 0*u + 28, -4*b = -u + 22. Let r(i) = -2*i + 7. Let z(o) = 1. Let v be (-4)/(-10) + 7/(-5). Give u*z(l) + v*r(l).
2*l - 1
Let o(z) = -z**2. Suppose 1 = 2*a - 3*v - 9, -3*v - 12 = 0. Let i(w) = -w**2. What is a*o(y) - 4*i(y)?
5*y**2
Let r(z) = -z**2 + 5*z + 4. Let b be -3*1*8/(-6). Let q = 16 + -10. Let k(s) = -11*s + 0*s**2 - 6 + 2*s**2 - q + 3. What is b*k(w) + 9*r(w)?
-w**2 + w
Let o(i) = i**3 - i**2 + 1. Let a be (-320)/(-55) + (-2)/(-11). Let v(x) = 7*x**3 - 6*x**2 - 3*x + 8. Give a*o(w) - v(w).
-w**3 + 3*w - 2
Let o(z) = -z + 1. Let u(t) = -5*t + 27. Calculate 4*o(i) - u(i).
i - 23
Let y(g) = -9*g**3 + 2*g**2 - 4. Let o = 16 - 13. Let t(l) = -4*l**3 + l**2 - 2. Give o*y(s) - 7*t(s).
s**3 - s**2 + 2
Let p(f) = f**3 + f**2 + f - 2. Suppose -w + 4*w - 12 = 0. Let y(a) = a**3 + a**2 - 1. Give w*y(u) - 2*p(u).
2*u**3 + 2*u**2 - 2*u
Let h(p) = -2 + 2 - 1315*p + 1316*p. Let f(b) = -5*b. Let w be ((-4)/(-3))/(4/54). Give w*h(g) + 4*f(g).
-2*g
Let d(k) = 8*k**2 + 2