 Let p(h) = h**3 - h**2 + 4*h - 2. What is d*p(y) + w*m(y)?
y**3 + y**2 + 2*y
Let c(u) = u**2 + 4*u + 6. Let s(d) = -3*d**2 + 9*d + 13 + d**2 + 0*d**2 + 4*d**2. What is 13*c(n) - 6*s(n)?
n**2 - 2*n
Let x(y) = 3*y - 9. Let h(u) = 1. Suppose -2*k - 2*a = 0, 3*a = 5*a - 2. What is k*x(n) - 9*h(n)?
-3*n
Let n(p) = -3*p**3 + 2*p**2 - 5*p - 4. Let l(c) = 2*c**3 - 3*c**2 + 4*c + 3. Determine -4*l(i) - 3*n(i).
i**3 + 6*i**2 - i
Let t(o) = o. Let z(k) = -8*k. Let g(d) = -5 + 4*d**2 + 4*d - 1 + 3*d - d**3. Let i be g(5). Suppose i*a - a + 18 = 0. Give a*t(l) - z(l).
2*l
Let w(s) = -2*s**3 - 5*s**2 + 5. Let v(k) = -k**3 + 0*k**2 + 2 + 0 + 2*k**2 - 4*k**2. What is 5*v(h) - 2*w(h)?
-h**3
Let i(m) = -13*m**2 + 6*m - 9. Let o(k) = -9*k**2 + 4*k - 6. Determine -5*i(d) + 7*o(d).
2*d**2 - 2*d + 3
Let i(x) = x - 7. Let d be i(3). Let u(l) = -l + 2. Let g(c) = -2*c + 7. Let z(y) = 4*y - 15. Let a(r) = 5*g(r) + 2*z(r). Determine d*a(k) + 9*u(k).
-k - 2
Let g(q) = 0*q - 5*q + 0*q + q. Let v(s) = 7*s. What is 5*g(b) + 3*v(b)?
b
Let c(s) = 7*s + 7. Let q = 47 + -33. Let a(u) = 20*u + 20. Give q*c(y) - 5*a(y).
-2*y - 2
Let k(q) be the third derivative of 0*q - 3*q**2 + 1/6*q**3 + 0 - 1/24*q**4. Let w(l) = 7*l - 7. Give 6*k(x) + w(x).
x - 1
Let q(l) = -5*l**2 + 3*l + 2. Suppose 4*w + 3 + 9 = 0. Let d(j) = 11*j**2 - 7*j - 4. Let r(x) = -x**3 - 8*x**2 - 7*x - 7. Let f be r(-7). Give f*q(t) + w*d(t).
2*t**2 - 2
Let k(b) = 4*b**3 - 2*b - 3. Let d(f) = 2*f**3 - f - 2. Suppose -2*m = 5*i - 12, -3*i + 12 + 0 = 0. Determine m*k(x) + 7*d(x).
-2*x**3 + x - 2
Let c(g) = -g**2 + g - 1. Suppose q - 2*q + 20 = 0. Let v(z) = -4*z**3 + 20*z**2 - 20*z + 20. Calculate q*c(j) + v(j).
-4*j**3
Let y(w) = 3*w**3 - 5*w**2 - 3*w. Let t(u) = -2*u + 2 - 2 - 3*u**2 + 2*u**3. What is -5*t(o) + 3*y(o)?
-o**3 + o
Let q(u) = -2*u + 2. Let f(w) = 10*w - 10. Give -3*f(i) - 16*q(i).
2*i - 2
Let g(l) = 522*l**2 - 144*l + 144. Let o(c) = 18*c**2 - 5*c + 5. Calculate -5*g(y) + 144*o(y).
-18*y**2
Let m(u) be the second derivative of -u**5/20 + u**3/2 + 12*u. Let p(d) = -d**3 + 2*d. Determine -2*m(i) + 3*p(i).
-i**3
Let q(k) = -5*k**2 - 2*k + 2. Let w(h) = h**3 + 9*h**2 + 4*h - 5. Give 5*q(u) + 2*w(u).
2*u**3 - 7*u**2 - 2*u
Let l(p) = -42 + 2*p**3 + 6*p**2 - 8*p + 2*p**3 + 41. Let g(y) = y**3 + y**2 - y. Determine 6*g(s) - l(s).
2*s**3 + 2*s + 1
Let y(s) = 15*s - 3*s - 1 - 10*s. Let f(h) = -26*h + 11. Let a(g) = 9*g - 4. Let o(i) = 7*a(i) + 2*f(i). Give -6*o(z) + 34*y(z).
2*z + 2
Let b(p) = -p**3. Let m(g) = 1. Calculate b(a) - 4*m(a).
-a**3 - 4
Let y(r) = -4*r + 7. Let h(t) = t + 1. Give -3*h(a) - y(a).
a - 10
Let b(t) = 9*t + 19. Let m(k) = 5*k + 10. Calculate -4*b(r) + 7*m(r).
-r - 6
Let z(n) = n - 2. Let c(p) be the second derivative of p**3/6 - 3*p**2/2 + 3*p. What is 2*c(j) - 3*z(j)?
-j
Let g(s) = -33 + 67 - 33 + 2*s**2 - 7*s. Let d be 2 - (-9 + -1 + 2). Suppose -6*x + x = -d. Let i(q) = q**2 - 3*q. Calculate x*g(k) - 5*i(k).
-k**2 + k + 2
Let n(z) = 1 - 3 + 2*z**3 - 2*z**3 - 2*z - 3*z**3. Suppose -6*f + 11 = -55. Let v(i) = -15*i**3 - 11*i - 11. What is f*n(m) - 2*v(m)?
-3*m**3
Let d(b) = b + 6. Let g(s) = 5*s + 25. Calculate -9*d(x) + 2*g(x).
x - 4
Let y(f) = -5*f - 6. Let i be (-21)/(-7) - 4*-1. Let t(n) = 9*n + 11. Determine i*y(s) + 4*t(s).
s + 2
Let m be 18*(17/33 + 2/(-11)). Let d(z) = 2*z**2 - 2*z - 1. Let j be d(2). Let h(b) = j*b + 12*b + 2 + 7. Let g(v) = -8*v - 5. What is m*h(r) + 11*g(r)?
2*r - 1
Let b(o) = -18*o + 15. Let c(v) = v - 1. Let p = -5 + 13. Let j = 23 - p. Determine j*c(d) + b(d).
-3*d
Let d(l) = 3*l - 7. Let i(n) = 8*n - 22. Give 11*d(f) - 4*i(f).
f + 11
Let b(u) = -u**3 - u**2 - 1. Let q(h) = 5*h**3 + 2*h**2 + 2. Suppose -t + 3 = 4*y, -5*y - 3*t - 3 = -5. Determine y*q(v) + 2*b(v).
3*v**3
Let j(k) = 28*k**3 - 4*k**2. Let o(g) = -g**3 - g**2. Determine -j(l) + 4*o(l).
-32*l**3
Let q(y) = -76*y - 4. Let v(b) = -19*b - 1. Give -2*q(u) + 9*v(u).
-19*u - 1
Let m(z) = -z + 16. Let h(r) = -2*r + 17. Determine 3*h(n) - 4*m(n).
-2*n - 13
Let d(x) = -18*x + 5. Let k(a) = a + 1. What is -d(n) + 3*k(n)?
21*n - 2
Suppose 3*m = -3*y + 15, 0*y - 5*m - 17 = -2*y. Let o(p) = -1. Let h(q) = -q - 8. Calculate y*o(s) - h(s).
s + 2
Let c(j) be the second derivative of j**5/10 - j**4/12 - 11*j. Let u(s) be the second derivative of s**5/20 - 3*s. Calculate -c(w) + u(w).
-w**3 + w**2
Let q = -1 + 11. Let a = -16 + q. Let f(h) = -h. Let y(w) = -2*w. Determine a*y(x) + 13*f(x).
-x
Let q(b) = -36*b**3 - 2*b**2 + 13*b + 13. Let m(n) = -18*n**3 - n**2 + 6*n + 6. Give -13*m(a) + 6*q(a).
18*a**3 + a**2
Let x(r) = -13*r + 7. Let z(q) = -26*q + 13. Let l(o) = -9*x(o) + 4*z(o). Let i = 1 - -3. Let m(f) = 6*f - 5. Calculate i*l(v) - 9*m(v).
-2*v + 1
Let m(v) = 2*v**2 + 2*v + 2. Let u(l) = 2*l**2 + 3*l + 3. Suppose -b - 8 = -3*b. Suppose -8 = b*f - 0. Determine f*u(p) + 3*m(p).
2*p**2
Suppose 2*q + 0*q + 5*n = 5, -4*q - n = 17. Let v(f) = 10*f - 7. Let c = -2 - -4. Let y(u) = u + 0*u - c*u - 6*u + 5. Give q*v(l) - 7*y(l).
-l
Let r(y) = 13*y**2 - 17*y - 9. Let a = -4 + 8. Let l(b) be the third derivative of 2*b**2 + 0*b + 1/3*b**3 - 1/20*b**5 + 1/6*b**a + 0. Give 9*l(w) + 2*r(w).
-w**2 + 2*w
Let b(o) = -o**2 - o - 1. Let n(i) = 5*i**2 - 6*i - 6. Give 6*b(j) - n(j).
-11*j**2
Let z(h) = -h**2 - 6*h + 3. Let q be z(-6). Suppose -b + 6 - 23 = q*w, 16 = 2*b - 4*w. Let r(a) = a**2. Let n(l) = 2*l**3 + 2*l**2 + 2*l. Give b*r(k) + n(k).
2*k**3 + 2*k
Let x(k) = 3*k**2 - 4*k - 6. Let g(n) be the third derivative of n**5/60 - n**4/12 - n**3/2 - 20*n**2. Give 5*g(u) - 2*x(u).
-u**2 - 2*u - 3
Let h(u) = 159*u**3 + 13*u**2 - 13*u. Let q(v) = -79*v**3 - 6*v**2 + 6*v. Determine 6*h(m) + 13*q(m).
-73*m**3
Let f(a) = -a. Let p(q) = q**2 - q + 1. Let i be p(0). Let r(w) = 214 - 103 - 110. What is i*f(j) - r(j)?
-j - 1
Let u be 4/(-2)*-2 + 2. Let n(r) = -r + 7. Let m(j) = -3*j + 20. Calculate u*m(w) - 17*n(w).
-w + 1
Suppose -3*d = 4*q - 34, 2*q + 110 = 5*d - 2*q. Let x(f) = -3*f**3 - 18*f**2 - 18*f. Let u(j) = j**2 + j. Give d*u(p) + x(p).
-3*p**3
Let i(g) = -2*g + 4. Let t(u) = 2*u**3 + 8*u**2 + 2. Let a be t(-4). Let p(s) = 6*s - 13. Give a*p(q) + 7*i(q).
-2*q + 2
Let u(m) = 2*m**2 - 3*m. Let r(a) = 3 + 4*a**2 - 3 - a - 4*a. Determine 3*r(o) - 5*u(o).
2*o**2
Let l(g) = -g. Let q(o) = 5*o**2 - 8*o - 1. Let j(m) = 14*m**2 - 23*m - 3. Let d(a) = -3*j(a) + 8*q(a). What is d(c) + 5*l(c)?
-2*c**2 + 1
Let q(a) = 1. Let p = -28 - -27. Let h(u) = -2*u**2 - 10. Determine p*h(y) - 6*q(y).
2*y**2 + 4
Let w(x) = x**3 + x**2 + x. Let u(j) = 8*j**3 + 3*j**2 + 9*j. Determine u(q) - 6*w(q).
2*q**3 - 3*q**2 + 3*q
Let r(x) = 2*x + 1. Let k(g) = 10*g + 4. Let n(b) = 5*b + 2. Let j(o) = -3*k(o) + 5*n(o). Calculate -4*j(t) - 9*r(t).
2*t - 1
Let q(x) = -2*x**3 - 2*x**2 - 9*x. Let g(n) = -n**3 - n**2 - 5*n. What is -7*g(w) + 4*q(w)?
-w**3 - w**2 - w
Let a = 0 - -7. Let w = -4 + a. Suppose -2*f - w = -9. Let p(x) = -x**3 - 5*x**2 - 5*x + 7. Let u(i) = -i**3 - 3*i**2 - 3*i + 4. What is f*p(g) - 5*u(g)?
2*g**3 + 1
Let n(f) = 16*f**2 - 5*f. Let x(h) = 31*h**2 - 9*h. What is -5*n(l) + 3*x(l)?
13*l**2 - 2*l
Suppose -5*i - 1 - 29 = 0. Let f(q) = 4*q. Suppose 2 = 4*j + 5*w, 5*j - w - 19 = w. Let d(a) = j - 11*a + 2*a - 3. Calculate i*d(v) - 14*f(v).
-2*v
Let m = -9 - -29. Let z(u) = -m*u + 9*u + 7*u + 4. Let p(q) = -q + 1. What is 26*p(a) - 6*z(a)?
-2*a + 2
Let i(f) = f + 6. Let s(q) = -q - 1. Give -i(h) - 4*s(h).
3*h - 2
Let l(p) = -5*p**3 - 2*p**2 - 6*p - 4. Let d(s) = 9*s**3 + 4*s**2 + 11*s + 7. Give 4*d(m) + 7*l(m).
m**3 + 2*m**2 + 2*m
Let k(w) = -8*w**3 + 4*w - 4. Let d(l) = 8*l**3 - 3*l + 3. Determine 4*d(t) + 3*k(t).
8*t**3
Let x(w) = 3*w**2 - 4. Let l(p) = -p**2. What is 6*l(m) + x(m)?
-3*m**2 - 4
Let g(y) = -23*y. Let d(x) = 4*x. Let a = 11 - 8. Let u(l) = -l**2 + 5*l - 4. Let q be u(a). Suppose 8 = 2*b, -f + 2*f + q*b = 14. Give f*g(v) + 34*d(v).
-2*v
Let n(m) = 6*m**3 - 8*m**2 - 10*m + 10. Let s(w) = w**3 - w**2 - w + 1. Suppose c = -2 + 10. Calculate c*s(v) - n(v).
2*v**3 + 2*v - 2
Suppose -3*i + 14*i + 33 = 0. Let f(s) = -4*s**2 + 2*s - 3. Let o(w) = 7*w**2 - 4*w + 5. Calculate i*o(a) - 5*f(a).
-a**2 + 2*a
Let f(c) be the third derivative of c**4/8 + c**3/2 + c**2. Let u = -55 - -57. Let k(j) = j**2 - 2*j - 2. Determine u*f(b) + 3*k(b).
3*b