d*k + 6*k + 3*k. What is 6*n(m) - 5*y(m)?
m
Let k(a) = -11*a**2 - 13. Let c(l) = 12*l**2 + 11. Determine 7*c(n) + 6*k(n).
18*n**2 - 1
Let n(c) = 31*c - 22. Let y(b) = 28*b - 22. Let a(z) = 6*n(z) - 7*y(z). Let j(f) = 3*f - 7. What is -5*a(d) - 16*j(d)?
2*d + 2
Let x(k) = -2*k - 5. Let l(f) = -f. Let c(b) = 9*b + 11. Let y = -15 - -14. Let w(v) = y*c(v) - 5*l(v). Let z be 3*(0 - -1)*-3. Determine z*x(m) + 4*w(m).
2*m + 1
Let c(p) = -4*p**2 - 9*p + 4. Let x(y) = -5*y**2 - 9*y + 6. Calculate -3*c(l) + 2*x(l).
2*l**2 + 9*l
Let b(q) = -1. Let h(d) = -d - 3. Let p(x) = 2*b(x) - h(x). Let f(t) be the third derivative of -t**5/30 - t**4/4 - 7*t**3/6 + 3*t**2. Give f(v) + 6*p(v).
-2*v**2 - 1
Let g = 2 + 2. Let p(s) = 3*s**2 + 9*s + 9. Suppose -20 = 4*r, 0 = 3*m - 9*r + 5*r + 7. Let k(o) = o**2 + 4*o + 4. Determine g*p(j) + m*k(j).
3*j**2
Let t(a) = a**2 - 4. Let h(c) be the second derivative of 5*c**4/12 - 15*c**2/2 - 9*c. Suppose 95 = 19*q - 190. Calculate q*t(f) - 4*h(f).
-5*f**2
Suppose 8 = -4*w + 3*w + 2*b, -5*w = -2*b. Let z(c) = -4*c + 1. Let m(h) = -h. Give w*m(l) + z(l).
-6*l + 1
Suppose 4*x + 3*t = 18, 3*x + 5*t + 0*t - 8 = 0. Let n(j) = 7*j - 1. Let r(m) = 0*m + 2*m - 4*m + 3*m. Calculate x*r(k) - n(k).
-k + 1
Let n = -44 - -33. Let f(t) = t. Let c(u) = 18*u + 16. Let r(p) = c(p) + 3*f(p). Let q(d) = 33 - 4*d - 92 + 27 + 29. Determine n*q(o) - 2*r(o).
2*o + 1
Let x = -1255 + 1263. Let f(n) = -6*n**2 + 3. Suppose -6 = -3*y - b, -3*y + 3*b = -6 - 0. Let u(k) = -2 + 3*k**2 + 2*k**y - k**2. Give x*u(t) + 5*f(t).
2*t**2 - 1
Let m(g) be the second derivative of g**3/6 + 19*g. Let n(d) = -4*d + 5. Let q(t) = 5*m(t) - n(t). Let s(j) = -28*j + 16. What is 16*q(y) + 5*s(y)?
4*y
Let z(b) = 31. Let g(l) = -l - 1. Determine 4*g(c) + z(c).
-4*c + 27
Let f(b) = 4*b**2 - 19*b. Let t(p) = -7*p**2 + 38*p. Determine 5*f(n) + 3*t(n).
-n**2 + 19*n
Let r(q) = 7*q + 4. Let v(x) = 4*x + 3. What is -4*r(h) + 9*v(h)?
8*h + 11
Suppose 5*b - 3*o = -1, -o - 4 = 2*b - 4*o. Let g = -5 - b. Let f(h) = -h**3 - 6*h**2 + 6*h + 1. Let p(a) = -a**2 + a. Give g*p(j) + f(j).
-j**3 + 1
Let f(b) = -2*b**3 + 3*b**2 + 2*b + 2. Let u(q) = -3*q**3 + 4*q**2 + 2*q + 1. Suppose -4*z - 18 = -z + 2*t, 2*z - 2*t + 2 = 0. Calculate z*f(w) + 3*u(w).
-w**3 - 2*w - 5
Let k be (-4 - (-17)/6 - 1/(-6))*-6. Let n(l) = 6*l - l - 3*l + 2. Let o(z) = -2*z - 2. Let g = 1 - -4. Determine g*o(i) + k*n(i).
2*i + 2
Let h(z) = -z**2. Let u(j) = -69*j**2. Determine -84*h(s) + 4*u(s).
-192*s**2
Let p(o) = 4*o**2 + 3*o - 2. Let l = 127 - 132. Let c(u) = 7*u**2 + 5*u - 5. Calculate l*p(j) + 3*c(j).
j**2 - 5
Let c(f) = 6*f - 2. Let t(m) = 12*m - 8. Give 7*c(b) - 4*t(b).
-6*b + 18
Let o(r) = -5*r. Let i(c) be the first derivative of c - 148. Determine -2*i(k) - o(k).
5*k - 2
Let p(l) = 155*l**2 - 340*l - 70. Let h(z) = 9*z**2 - 20*z - 4. Give -35*h(q) + 2*p(q).
-5*q**2 + 20*q
Let x(f) = 3*f**2 + 6*f + 1. Let k(z) = -2*z**2 - 7*z - 2. Calculate 6*k(j) + 7*x(j).
9*j**2 - 5
Let u(j) = -7*j + 10. Let a be (-136)/22 + 40/220. Let k(f) = f - 1. Determine a*k(i) - u(i).
i - 4
Let u(o) = -o**2 + o - 1. Let r = 11 - 10. Let t = 2 - r. Let k(m) = -t + 0 - 4 - 3*m**2 + 5*m. Give -k(d) + 5*u(d).
-2*d**2
Let l(k) = k**3 + k + 1. Suppose -8 = -4*o - 16, -u - 4*o = 10. Let q(z) = 14*z**3 + 9*z + 9. What is u*q(j) + 18*l(j)?
-10*j**3
Let o(b) = 4*b**3 + 3*b - 3. Let s be (-1)/(-1) + (-13 - -11). Let g = 1 - s. Let c be g/3 + 77/33. Let k(x) = -x**3 - x + 1. Determine c*k(y) + o(y).
y**3
Let o(d) = 7*d**3 - 3*d**2 + 3*d + 3. Let f(c) = 28*c**3 - 13*c**2 + 13*c + 13. Suppose 52*l = 51*l - 26. Calculate l*o(z) + 6*f(z).
-14*z**3
Let m(v) = -19*v + 65. Let i(r) = -16*r + 65. What is 6*i(d) - 5*m(d)?
-d + 65
Let a(x) = 36*x + 1. Let p(s) = 25*s. Calculate 5*a(l) - 7*p(l).
5*l + 5
Let a(r) = 32*r + 32. Let x(f) = -11*f - 11. Determine 6*a(u) + 17*x(u).
5*u + 5
Let c(m) = 31*m**3 + 3*m**2 - m + 3. Let h(f) = 93*f**3 + 8*f**2 - 2*f + 8. What is -8*c(k) + 3*h(k)?
31*k**3 + 2*k
Let d(x) = x - 1. Let z(m) = 60*m**2 - 6*m + 6. Give 12*d(b) + 2*z(b).
120*b**2
Let w(u) = -2*u - 9. Suppose -2*y + 5*q = 4, 0 = -3*y + 5*q - 4*q - 6. Let r = -8 - -10. Suppose -r*i - 15 = i. Let z(a) = a + 4. Calculate i*z(s) + y*w(s).
-s - 2
Let f(x) = -9*x**2 + 7*x - 39. Let i(h) = 20*h**2 - 14*h + 84. Let u(y) = -13*f(y) - 6*i(y). Let d(n) = 9*n**2 + 21*n - 8. Determine -3*d(q) - 8*u(q).
-3*q**2 - 7*q
Let t(p) be the third derivative of -11*p**6/120 - p**5/12 + 5*p**3/6 - 5*p**2 + 8. Let g(a) = -11*a**3 - 4*a**2 + 4. What is -5*g(q) + 4*t(q)?
11*q**3
Let u(k) = -68968*k**3 - 1165*k**2 + 1165*k - 1165. Let v(c) = 237*c**3 + 4*c**2 - 4*c + 4. What is -4*u(d) - 1165*v(d)?
-233*d**3
Let w(r) = 8*r**2 + 8*r. Let c(n) = -9*n**2 - 9*n - 1. Give -3*c(y) - 4*w(y).
-5*y**2 - 5*y + 3
Let r(n) = -n**2 + 11. Let j(d) = -2*d**2 + d**2 - 450 + 456. Give -11*j(k) + 6*r(k).
5*k**2
Let o(l) = 2 - 32*l + 15*l + 25*l. Suppose -4*a = -b + 6, 3*a = -3*b + 3 - 0. Let q(u) = -u. What is a*o(z) - 10*q(z)?
2*z - 2
Let h(d) = -3*d**3 - 2*d**2 - 3*d - 12. Let m(o) = 7*o**3 + 5*o**2 + 6*o + 25. What is 5*h(a) + 2*m(a)?
-a**3 - 3*a - 10
Let r(m) = 3*m + 3. Let n(b) = -3*b - 2. Let d(q) = -3*q - 1. Let j(i) = i - 13. Let s be j(16). Let y(w) = s*n(w) - 2*d(w). What is 6*r(t) + 5*y(t)?
3*t - 2
Let h(n) = 26*n - 4. Let x(f) = -27*f + 2. Calculate -2*h(i) - 3*x(i).
29*i + 2
Let f be (-2)/8 - 528/(-64). Suppose 4 - f = 4*o. Let b(h) = h**2 - 2*h + 3. Let r(k) = -2 + 2 + 1. Give o*b(z) + 2*r(z).
-z**2 + 2*z - 1
Let l(p) = -2*p + 7. Suppose -6*z + 8*z = 10. Let t(v) be the third derivative of -v**4/24 + v**3/2 - 23*v**2. Determine z*t(o) - 2*l(o).
-o + 1
Let d(k) = -3*k**2 - 2*k - 2. Let n(x) = -3*x**2 - 2*x - 2. Suppose 3*i = -2*p + 18, -5*i + 0*p = -3*p - 30. Suppose i = -8*y + 6*y. What is y*d(o) + 4*n(o)?
-3*o**2 - 2*o - 2
Let w = 6 - 2. Let j(u) = 2*u**2 + 5. Suppose 6*b + 0*b = 6. Let p(l) = -l**2 - 1. Give b*j(z) + w*p(z).
-2*z**2 + 1
Let t(l) = l**2. Let r(s) be the third derivative of -s**5/6 - 71*s**2 - 1. What is -2*r(o) - 22*t(o)?
-2*o**2
Let s(o) be the first derivative of o**2 + 5*o + 7/3*o**3 + 7. Let x(n) = 13*n**2 + 3*n + 9. Give 7*s(h) - 4*x(h).
-3*h**2 + 2*h - 1
Let r(t) = -33*t**2 + 11*t. Let a(x) = 17*x**2 + 0*x**2 + 401*x - 407*x. Give -11*a(c) - 6*r(c).
11*c**2
Let m(i) = i + 6. Let f(w) be the third derivative of -w**4/24 - w**3/2 - 2*w**2 - 36. Calculate 5*f(y) + 3*m(y).
-2*y + 3
Let u(p) = p - 5. Let o be (21 - 21)*(-2)/6. Let y(d) be the third derivative of o - 2/3*d**3 - 5*d**2 + 0*d + 1/24*d**4. Give -5*u(m) + 6*y(m).
m + 1
Let k(w) = -49*w**3 - 11. Let o(u) = 3018 + 3018 + 25*u**3 - 6030. Give -6*k(c) - 11*o(c).
19*c**3
Let n(x) = 12*x**2 + 1. Let y(b) = 11*b**2 - 130. Determine 3*n(p) - 3*y(p).
3*p**2 + 393
Let r(v) = 5*v**2 - 5*v - 120. Let z(m) = -6*m**2 + 6*m + 123. Calculate -7*r(g) - 6*z(g).
g**2 - g + 102
Let s(b) = 75*b**2 + 6. Let k(i) = 15*i**2 + 1. What is 22*k(g) - 4*s(g)?
30*g**2 - 2
Let b(j) be the third derivative of -j**7/1260 + j**5/15 + 10*j**2. Let i(l) be the third derivative of b(l). Let a(x) = 20*x. Calculate -3*a(u) - 16*i(u).
4*u
Let c(p) = -p**2 - 2. Let q(h) = 12*h**2 - h + 14. Calculate 6*c(d) + q(d).
6*d**2 - d + 2
Let f(u) = -12*u + 23. Let i(y) = 16*y - 24. Calculate 5*f(b) + 4*i(b).
4*b + 19
Let b(t) = -5*t**2 - t + 27. Let c(p) = -p**2 - 1. Determine b(m) - 3*c(m).
-2*m**2 - m + 30
Let t(q) = 11*q - 4. Let l(d) be the second derivative of 14*d**3/3 - 5*d**2 - 80*d. Calculate 5*l(r) - 12*t(r).
8*r - 2
Let d(v) be the second derivative of v**3/2 - v**2/2 + v - 766. Let q(b) = 3*b - 1. Let n = -10 - -5. Give n*q(x) + 4*d(x).
-3*x + 1
Let i(d) = 3 + 11*d - 23*d + 14*d. Let n be (-4)/(-8) + 18/4. Let h(t) = -t + 7. Let a be h(n). Let q(k) = -2*k - 4. Determine a*q(j) + 3*i(j).
2*j + 1
Let l(d) = -21*d + 5. Let y(t) = -7*t + 2. Let i(n) = 2*l(n) - 7*y(n). Let v(r) = 6*r - 3. Let o = -84 - -58. Let h = o - -23. Determine h*i(f) + 4*v(f).
3*f
Let p(m) = -1 - 9*m - 13*m - 14*m - 7*m + 32*m. Let z(s) = -10*s - 1. What is -5*p(h) + 6*z(h)?
-5*h - 1
Let z(g) = -2*g - 3. Let o(f) = 4 + 12 + 15 - 34 - 2*f. Calculate 4*o(h) - 3*z(h).
-2*h - 3
Let f(b) = 3*b**3 + 8*b**2 - 8. Let s(i) = -i**2 + 1. Let z be (6*-1)/((-51)/34) + -28. What is z*s(m) - 3*