.
12*r
Let k(d) = 4*d + 1. Let g(r) = -r. Determine -2*g(u) + k(u).
6*u + 1
Let y(m) = -32*m**3 - 24*m. Let t(g) = -g**3 - g. Give 24*t(v) - y(v).
8*v**3
Let d(j) = -j**3 + 12*j**2 + 14*j - 22. Let g be d(13). Let n(q) = 3*q - 1. Let m(r) = -13*r + 5. Calculate g*n(x) - 2*m(x).
-x - 1
Let h(z) = -2*z**2 - 2*z - 4. Let d(i) = i**3 + 13*i**2 - 15*i - 11. Let y be d(-14). Let x(b) = 2*b**2 + 2*b + 5. Calculate y*h(s) + 2*x(s).
-2*s**2 - 2*s - 2
Let j(c) = 5*c + 3. Let v(r) = -14*r - 10. Let g(z) = -15*z - 11. Let k(i) = -5*g(i) + 6*v(i). Determine -10*j(y) - 6*k(y).
4*y
Let o(d) = -d**2 - d - 2. Suppose 3*q + 11 = -1, u = -3*q - 6. Let j = 11 - u. Let y(p) be the second derivative of p**2/2 + p. Calculate j*y(t) + 2*o(t).
-2*t**2 - 2*t + 1
Let j(h) = h + 3. Let t(n) = -n - 4. Let m(z) = 3*j(z) + 2*t(z). Let x(b) be the second derivative of -b**3/2 - 3*b**2/2 + 2*b. Give 2*m(d) + x(d).
-d - 1
Let x(n) = n**3 + 5*n**2 - 5*n + 5. Let j(v) = -v**3 - 6*v**2 + 5*v - 6. Determine -5*j(w) - 6*x(w).
-w**3 + 5*w
Let x(w) = -w + 12. Let g(d) = -1. What is -6*g(o) - x(o)?
o - 6
Let p(h) be the second derivative of 8*h**2 - 5/3*h**3 + 0 - 3*h. Let d(u) be the second derivative of u**3/2 - 5*u**2/2 + u. What is 16*d(j) + 5*p(j)?
-2*j
Let s(q) = 9*q + 8. Let a(d) = -1. Calculate 24*a(w) + 3*s(w).
27*w
Let c(t) be the third derivative of -t**4/8 - 2*t**3/3 + 6*t**2. Let s(n) = 1. Give -c(u) - 2*s(u).
3*u + 2
Let x(d) = d + 2. Let v(g) = -g - 2. Suppose -14 = -3*m + 5*s, m = s - 5*s - 1. Let y(f) = -m + 2*f + 3*f + 3. Let t be y(1). Give t*x(w) + 6*v(w).
-w - 2
Suppose -2*f + 4 = -0. Suppose i = -3 - f. Let d(h) = -4*h + 5 - 4*h**2 + 3*h**2 - 4*h**2 - h**3. Let r(o) = o**3 + 4*o**2 + 3*o - 4. What is i*r(k) - 4*d(k)?
-k**3 + k
Let k(q) = 5*q - 15. Let t(f) = -3*f + 7. Determine -4*k(h) - 7*t(h).
h + 11
Let h(u) = -u**2 + 3. Let n(g) = g**2 + 10*g + 1. Let a be n(-9). Suppose 0*o - o + 2 = 0. Let r(k) = 2*k**2 + k**o - 14 + 6. Determine a*h(c) - 3*r(c).
-c**2
Let d(g) = -2*g - 6. Let v(n) = -4*n - 13. What is -5*d(i) + 3*v(i)?
-2*i - 9
Let i(o) = -15*o**2 - 2*o + 6. Let h(t) = 30*t**2 + 4*t - 11. Determine -6*h(u) - 11*i(u).
-15*u**2 - 2*u
Let c(d) = 29*d**2 + d. Let p(x) = -1. Give c(k) - 2*p(k).
29*k**2 + k + 2
Let o(k) = 8*k**3 + 6*k + 6. Let f(p) = 17*p**3 + 11*p + 13. Give -6*f(m) + 13*o(m).
2*m**3 + 12*m
Let m(g) = -g**3 + 5*g**2 - 2*g - 3. Let u be m(4). Let i(y) = -5 - 10*y - u - 1 - 6*y**2 + 1. Let r(l) = -l**2 - 2*l - 2. What is -3*i(s) + 16*r(s)?
2*s**2 - 2*s - 2
Let u(n) = -n**3 - 3*n + 7. Let b be u(2). Let f(c) = -4*c + 3. Let z(q) = -7*q + 7. Give b*f(j) + 3*z(j).
7*j
Let b(x) = -6*x - 10. Let w(k) = 4*k + 7. Suppose -3*t + 25 = -6*l + l, l + 12 = 2*t. What is t*b(o) + 7*w(o)?
-2*o - 1
Let k(d) = 4*d**3 + 5*d**2 + 3*d - 4. Let z(p) = p**3 + p**2 + p. Give k(x) - 3*z(x).
x**3 + 2*x**2 - 4
Let x(f) = 5*f**2 + 3*f + 3. Let k = 18 + -16. Let g(c) = -1 - 2*c + 0 - 2*c - 3 - 6*c**k. Let b be 8/3 - (-1)/3. Determine b*g(m) + 4*x(m).
2*m**2
Let k(b) = 0*b + 3 + 5 - 3*b. Suppose -8*m + 15 = -3*m. Let u(o) be the third derivative of o**4/24 - o**3/2 - 2*o**2. Calculate m*k(v) + 8*u(v).
-v
Let m = 2 + 0. Let g(x) = -x**2 - x - 2. Let q be g(m). Let i(y) = -2*y**3 + 2*y**2 - 14. Let j(c) = c**3 - c**2 + 9. What is q*j(l) - 5*i(l)?
2*l**3 - 2*l**2 - 2
Let i(g) = g**3 + 4*g**2 - 8*g - 6. Let j(u) = 2*u**3 + 9*u**2 - 17*u - 13. Determine -13*i(v) + 6*j(v).
-v**3 + 2*v**2 + 2*v
Let f(h) = h**3 + h**2 - 1. Let r(u) = -4*u**3 - 3*u**2 + 4. Let s(b) = 8*b**3 + 5*b**2 - 8. Let q(p) = 7*r(p) + 3*s(p). Determine 6*f(v) + q(v).
2*v**3 - 2
Let t(s) = 4*s**3 + 4*s**2 + 2*s + 4. Let m(z) = -4*z**3 - 5*z**2 - 3*z - 5. What is -4*m(h) - 5*t(h)?
-4*h**3 + 2*h
Let y(c) = -c - 1. Let h be 1 + -4 + 5 + -2. Let o(p) = h*p + p - 2*p. What is -3*o(v) + y(v)?
2*v - 1
Let q(y) = -6*y**3 - 4*y - 1. Let p(l) = 4*l**3 + 3*l + 1. Let j(t) = 5*t - 38. Let s be j(9). Give s*p(w) + 5*q(w).
-2*w**3 + w + 2
Let b(q) be the third derivative of 3*q**5/5 + 8*q**3/3 - q**2 - 14. Let h(y) = 7*y**2 + 3. Calculate 3*b(c) - 16*h(c).
-4*c**2
Let v(h) = -3*h. Suppose 8 = -4*c - 8. Let z(n) = n**3 + 4*n. What is c*v(j) - 3*z(j)?
-3*j**3
Let c(x) = 7*x**2 - 3*x + 3. Let m(t) be the first derivative of 2*t**3 - t**2 + 2*t + 10. Calculate -2*c(q) + 3*m(q).
4*q**2
Let m(k) be the second derivative of k**4/3 - k**3/6 - k**2 + 22*k. Let a(z) = z**2 + z - 1. Determine 2*a(c) - m(c).
-2*c**2 + 3*c
Let n(p) = -3*p - 6. Suppose 4*t - 27 = 3*w, 0*t - 2*w + 4 = t. Let m(z) = z + 2. Let l = 46 + -29. Calculate l*m(i) + t*n(i).
-i - 2
Suppose -45 = -3*b - 18. Let q(r) = r**2 + 2. Let t(g) = -g**2 - 13. Let c(m) = 14. Let o(w) = -4*c(w) - 5*t(w). What is b*q(y) - 2*o(y)?
-y**2
Let d(w) = 73 + 7*w - 4*w**2 + 6*w**2 + 2*w**2 - 80. Let f(r) = -r**2 + 2*r + 0*r**2 + 2*r**2 - 2. Determine 6*d(k) - 22*f(k).
2*k**2 - 2*k + 2
Let u(i) = -8*i**3 - 3*i + 1. Let h(l) = -7*l**3 - 2*l + 2. Determine -3*h(g) + 2*u(g).
5*g**3 - 4
Let d(k) = 2*k**2 - 6*k + 18. Let v(l) = l**2 - 2*l + 6. What is 3*d(b) - 8*v(b)?
-2*b**2 - 2*b + 6
Suppose -5*k - 20 = -k. Let f be (4/(-10))/((-2)/10). Let r(s) = -3*s**2 - 3*s + 1. Let j(w) = 0*w**2 - 7*w**2 + 0*w**2 - 7*w + 2. Give f*j(d) + k*r(d).
d**2 + d - 1
Let z(d) = -14*d**3 + 2*d**2 - 8*d. Let y(f) be the second derivative of 9*f**5/20 - f**4/12 + 5*f**3/6 + 2*f. Give -8*y(a) - 5*z(a).
-2*a**3 - 2*a**2
Let x(f) = -f**2 + 1. Let c = -29 + 30. Let q(a) = -2*a**2 - 1. Determine c*x(h) + q(h).
-3*h**2
Let d(j) = 2*j**3 + 12*j**2 - 5*j. Let m(y) = y**2 - y. Calculate -d(i) + 5*m(i).
-2*i**3 - 7*i**2
Let f(c) = -c + 1. Let o(q) = 4 - 9*q + 2*q + 2*q + 4*q + q**2. Determine -2*f(k) + o(k).
k**2 + k + 2
Let f(k) = -14*k. Let l(z) be the first derivative of z**2 + 39. Calculate -6*f(x) - 44*l(x).
-4*x
Let w(p) = 5*p**2 + 7*p + 8. Let s(j) = -15*j + 5 - 17 - 4 - 11*j**2 - 1. Suppose 4*d = 5*y - 34, 3 = y + 1. What is d*s(v) - 13*w(v)?
v**2 - v - 2
Let w(n) = -n. Let b(i) = 3*i - 1. Calculate b(c) + 4*w(c).
-c - 1
Suppose 25 = -5*y, -6*y + y = b + 30. Let j(s) = -2*s**2 + 5*s + 8. Let q(w) = -w**2 + 3*w + 4. Determine b*q(d) + 3*j(d).
-d**2 + 4
Let a(z) = 8*z - 12. Let k(g) = -9*g + 13. Give -7*a(d) - 6*k(d).
-2*d + 6
Suppose 5*c + 1 = 6. Let j(o) = 3*o**3 - 4*o**2 - 5*o - 1. Let w(z) = z**2 - 18*z**3 + 17*z**3 + z + 1 - 1. Suppose 7 = 4*b - 9. Calculate b*w(r) + c*j(r).
-r**3 - r - 1
Suppose a + 2*r - 8 = 5*a, 5*r = -2*a + 8. Let k(q) = 4*q**3 - 5*q + 3. Let d(m) = m**3 - m + 1. Determine a*k(b) + 5*d(b).
b**3 + 2
Let u(m) = 20*m - 4. Let n(x) = -20*x + 5. Let a(b) = 2*n(b) + 3*u(b). Let s(f) = -3*f. Let g(h) = -3*a(h) - 21*s(h). Let t(y) = y + 1. What is -g(c) + 5*t(c)?
2*c - 1
Let c(f) = -9. Let k(o) = o + 17. Let i(s) = -5*c(s) - 3*k(s). Let d(b) = -b - 2. What is 17*d(n) - 6*i(n)?
n + 2
Let i(c) be the first derivative of 2*c**4 + 4*c**3/3 - 9*c**2/2 - 6*c - 16. Let v(x) = 7*x**3 + 3*x**2 - 8*x - 5. What is -5*i(g) + 6*v(g)?
2*g**3 - 2*g**2 - 3*g
Let a(b) = 2*b - 3. Suppose -10 = -5*z + 5. Let t = 15 + -7. Let y(o) = -6*o + 8. Calculate t*a(q) + z*y(q).
-2*q
Let p(o) be the third derivative of 0*o + 0*o**3 + 1/24*o**4 + 4*o**2 + 1/60*o**5 + 0. Let v(r) = -3*r**2 - 6*r. Suppose 6*z + 5 = z. What is z*v(q) - 4*p(q)?
-q**2 + 2*q
Let b(k) = -k**2 - k - 1. Let p(x) = 4*x**2 + 4*x - 7. Let a(t) = b(t) - p(t). Let w(l) = 14*l**2 + 14*l - 17. Determine -17*a(v) - 6*w(v).
v**2 + v
Let s(z) = 4*z**3 + 2*z**2 + 12*z + 7. Let r(l) = -3*l**3 - 2*l**2 - 12*l - 6. What is -5*r(u) - 4*s(u)?
-u**3 + 2*u**2 + 12*u + 2
Let n = -3 - 4. Let b(y) = -4*y**3 - 7*y**2 - 7. Let r(s) = s**3 + 2*s**2 + 2. Give n*r(a) - 2*b(a).
a**3
Let i(t) = 5*t**3 - 6*t**2 + 4*t - 5. Let j(m) = m. Let n(f) = -9*f**3 + 11*f**2 - 5*f + 9. Let g(w) = 2*j(w) - n(w). Give -4*g(z) + 7*i(z).
-z**3 + 2*z**2 + 1
Let h(z) be the first derivative of z**2/2 + 3. Let o = -4 + 3. Let t(r) = -4*r - 1. Suppose 0 = 4*w + 11 - 3, -4*w = 4*y + 32. Calculate o*t(a) + y*h(a).
-2*a + 1
Let m(w) = -33*w - 4. Let l(v) = 8*v + 1. What is 26*l(r) + 6*m(r)?
10*r + 2
Let w(u) = -36*u**3 - 24*u**2 - 24*u. Let o(q) = -q**3 - q**2 - q. Give 72*o(b) - 3*w(b).
36*b**3
Let t(g) = -g + 1. Let w(u) = -3*u + 3. Let k be 4/6*1*3. Determine k*w(b) - 5*t(b).
-b + 1
Let x(c) = -5*c